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artemide-public | artemide-public-master/Models/Vpion19/Model/uTMDPDF_model.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! Model for unpolarized TMD PDF Vpion19.bFIT [1907.10356]
!
! proton uTMDPDF is from BSV19.HERA set (h=1)
! pion uTMDPDF is here (h=2)
!
! Requres 6 (proton)+3 (pion)=9 NP parameters
! Uses HERAPDF20_NNLO_VAR and JAM18PionPDFnlo
! A.Vladimirov (11.07.2019)
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module uTMDPDF_model
use aTMDe_Numerics
use IO_functions
implicit none
private
!!!!!------------------------------------------------------------------------------------
!!!!! These functions MUST defined in module !!
!!!!!
!!!!! 1) The subroutine is called during the initialization of TMD-module
!!!!! arg=array of initial NP-parameters
public:: ModelInitialization
!!!!! 2) The subroutine that is called on reset of NP-parameters in TMD-module
!!!!! arg=array of new NP-parameters
public:: ModelUpdate
!!!!! 3) Function which returns FNP function
!!!!! arg=(x,z,b,hadron,lambdaNP) with x=x_Bj for TMD (real_dp), z=convolution variable(real_dp),
!!!!! b=transverse distance(real_dp), hadron=number of the hadron in grid(integer)
!!!!! lambdaNP = array of NP parameters (real_dp(:))
real(dp),public,dimension(-5:5):: FNP
!!!!! 4) Function which returns the value of b used as argument of convolution integrals
!!!!! arg=(b,lambdaNP) with b=transverse distance(real_dp), lambdaNP = array of NP parameters (real_dp(:))
real(dp),public:: bSTAR
!!!!! 5) Function which returns the scale of matching (OPE scale)
!!!!! arg=(z,bt) with z=convolution variable(real_dp), b=transverse distance(real_dp)
real(dp),public:: mu_OPE
!!!!! 6) Subroutine which returns the array of parameters CA which compose the TMDs into a single one
!!!!! i.e. the TMD for hardon=h is build as TMD(h)=Sum_c CA(h,c) TMD(c)
!!!!! it is used only if the option UseComposite TMD is ON,
!!!!! arg=(h,lambdaNP,includeArray,CA) with h=hadron(integer),lambdaNP = array of NP parameters (real_dp(:))
!!!!! includeArray=logical array with .true. for terms included in the sum (logical(:),allocatable,intent(out))
!!!!! CA=coefficient CA (real_dp(:),allocatable,intent(out))
public:: GetCompositionArray
!!!!! 7) Subroutine which returns the array of NP-parameters corresponding to certain integer (replica)
!!!!! arg=rep input integer, NParray (real_dp(:), allocatable, intent(out)) returned array
public:: GetReplicaParameters
!!!!!------------------------------------------------------------------------------------
real(dp),allocatable::NPparam(:)
contains
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! USER DEFINED FUNCTIONS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!! Write nessecery model intitialization.
subroutine ModelInitialization(NPstart)
real(dp),intent(in)::NPstart(:)
allocate(NPparam(1:size(NPstart)))
NPparam=NPstart
write(*,*) color(">>> The model for uTMDPDF is Vpion19 & BSV19. Please, cite [1902.08474]&[1907.10356] <<<",c_cyan)
end subroutine ModelInitialization
!!!!!! Write nessecery model update (e.g. save current NP-parameters)
!!!!!! newNPParams is the new NP-array
subroutine ModelUpdate(newNPParams)
real(dp),intent(in):: newNPParams(:)
NPparam=newNPParams !! save new vector of NP-parameters
end subroutine ModelUpdate
!!! This is non-pertrubative function
!!! non=pertrubative parameters are lambdaNP()
!!! x-- is the bjorken variable of TMD
!!! z-- is convolution variable
function FNP(x,z,bT,hadron,lambdaNP)
real(dp),intent(in)::x,z,bT
integer,intent(in)::hadron
real(dp),intent(in)::lambdaNP(:)
real*8::FNP0
real*8::bb,w1,w2,w3
if(hadron==1) then
bb=bT**2
w1=lambdaNP(1)*(1-x)+x*lambdaNP(2)+x*(1-x)*lambdaNP(5)
w2=lambdaNP(3)*x**lambdaNP(4)+lambdaNP(6)
if(w2<0d0 .or. w1<0d0) then
FNP0=-1d0
else
FNP0=Exp(-w1*bb/sqrt(1+w2*bb))
end if
else
bb=bT**2
w1=(lambdaNP(7)+(1-x)**2*lambdaNP(8))
w2=lambdaNP(9)
if(w2<0d0 .or. w1<0d0) then
FNP0=-1d0
else
FNP0=Exp(-w1*bb/sqrt(1+w2*bb))
end if
end if
FNP=FNP0*(/1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0/)
end function FNP
!!!! This is the function b* that enter the logarithms of coefficient function
!!!! at small-b it should be ~b to match the collinear regime
!!!! at large-b it is a part of model
!!!! NOTE: if it is lambda-dependent, the grid will be recalculate each reset of lambdaNP
pure function bSTAR(bT,lambdaNP)
real(dp),intent(in)::bT
real(dp),intent(in)::lambdaNP(:)
bSTAR=bT/sqrt(1d0+(bT/500d0)**2)
end function bSTAR
!!!!This function is the mu(x,b), which is used inside the OPE
pure function mu_OPE(z,bt)
real(dp),intent(in)::z,bt
mu_OPE=C0_const*1d0/bT+2d0
if(mu_OPE>1000d0) then
mu_OPE=1000d0
end if
end function mu_OPE
!!!! if the option UseComposite TMD is OFF, this function is ignored
!!!! If the option UseComposite TMD is ON,
!!!! than the TMD for hardon is build as TMD(hadron)=Sum_c CA(h,c) TMD(c)
!!!! where h=hadron, CA=coefficientArray
!!!! coefficientArray real(dp) list of coefficeints
!!!! includeArray is logical array list (true=TMD(c) is computed, false TMD(c) ignored)
subroutine GetCompositionArray(hadron,lambdaNP,includeArray,coefficientArray)
real(dp),intent(in)::lambdaNP(:)
integer::hadron
logical,allocatable,intent(out)::includeArray(:)
real(dp),allocatable,intent(out)::coefficientArray(:)
allocate(includeArray(1:1))
allocate(coefficientArray(1:1))
end subroutine GetCompositionArray
!!! In SV19 model the replica parameters are stored in separate file.
subroutine GetReplicaParameters(rep,NParray)
integer,intent(in)::rep
real(dp),allocatable,intent(out)::NParray(:)
real*8,parameter,dimension(1:6):: protonNP=(/0.3204d0, 11.8747d0, 298.593d0, 1.8738d0, -9.0685d0, 0.0d0/)
real,parameter,dimension(1:309)::replicas=(/&
0.173426, 0.482789, 2.15172, &
0.093, 0.264, 0.377,&
0.173426, 0.482789, 2.15172, &
0.249541, 0.634629, 3.09413, &
0.105834, 0.156929, 0.385113, &
0.0978039, 0.281598, 0.449822, &
0.154557, 0.350553, 1.10694, &
0.261972, 0.676967, 3.37234, &
0.183507, 0.520334, 1.87893, &
0.0785418, 0.356815, 0.41225, &
0.355825, 0.846914, 5.60176, &
0.223488, 0.553231, 2.8377, &
0.629039, 1.61353, 16.4577, &
0.0818166, 0.360383, 0.435636, &
0.222895, 0.629612, 2.65102, &
0.0965146, 0.178813, 0.219953, &
0.491635, 1.15167, 10.0341, &
0.153072, 0.319388, 1.10683, &
0.161597, 0.382618, 1.2612, &
0.128724, 0.373911, 0.736818, &
0.152192, 0.290414, 0.823574, &
0.0954244, 0.278245, 0.356441, &
0.165523, 0.345776, 1.29734, &
0.176371, 0.421179, 1.6543, &
0.198816, 0.340405, 1.68137, &
0.0894031, 0.322207, 0.387982, &
0.163753, 0.473674, 1.29232, &
0.0947285, 0.198516, 0.326766, &
0.0814235, 0.329594, 0.422357, &
0.149341, 0.366549, 0.914248, &
0.0942002, 0.266578, 0.368842, &
0.133111, 0.572628, 1.31634, &
0.180704, 0.41721, 1.62999, &
0.065896, 0.316252, 0.250545, &
0.10734, 0.247779, 0.362931, &
0.139521, 0.471966, 1.31441, &
0.366519, 1.25787, 8.21266, &
0.0790098, 0.241259, 0.230682, &
0.581215, 2.27234, 21.0271, &
0.0954821, 0.261137, 0.374515, &
0.115915, 0.368228, 0.786806, &
0.273399, 0.749383, 4.03135, &
0.465171, 1.07553, 9.80427, &
0.0903598, 0.263619, 0.406335, &
0.123613, 0.374445, 0.849558, &
0.285171, 0.418185, 3.34914, &
0.269755, 0.553625, 3.96405, &
0.259095, 1.16033, 4.84876, &
0.0899398, 0.248281, 0.399757, &
0.259753, 0.814591, 4.63706, &
0.0947479, 0.272567, 0.365655, &
0.108101, 0.256952, 0.452232, &
0.0914599, 0.304369, 0.38939, &
0.170683, 0.272946, 1.06934, &
0.118159, 0.279235, 0.604779, &
0.264408, 0.762043, 3.82065, &
0.0784105, 0.316828, 0.458274, &
0.360117, 1.33631, 9.64109, &
0.105368, 0.225053, 0.322375, &
0.0987314, 0.303631, 0.477949, &
0.150731, 0.437147, 1.11623, &
0.238012, 0.87718, 2.98115, &
0.278189, 0.492043, 3.65615, &
0.0804673, 0.2964, 0.289875, &
0.0837756, 0.328657, 0.428778, &
0.100518, 0.276298, 0.456033, &
0.104566, 0.200711, 0.347386, &
0.132109, 0.380439, 1.01348, &
0.113121, 0.188703, 0.36785, &
0.103887, 0.26594, 0.400361, &
0.0936283, 0.272979, 0.366824, &
0.112749, 0.393731, 0.670924, &
0.12597, 0.491501, 1.02126, &
0.184632, 0.567039, 1.97799, &
0.0897044, 0.244245, 0.395551, &
0.101595, 0.265109, 0.38515, &
0.247302, 0.471764, 2.98563, &
0.284248, 0.821081, 4.66352, &
0.18231, 1.03437, 3.07118, &
0.108571, 0.375484, 0.727352, &
0.140538, 0.270434, 0.67072, &
0.233778, 0.496306, 3.07228, &
0.120892, 0.378347, 0.696918, &
0.322058, 0.91204, 6.34466, &
0.134719, 0.352275, 0.759533, &
0.157389, 0.4007, 1.20728, &
0.0814492, 0.37148, 0.442985, &
0.239761, 0.604956, 2.83285, &
0.104431, 0.216468, 0.423611, &
0.113135, 0.307468, 0.522409, &
0.128644, 0.357123, 0.837743, &
0.136476, 0.292455, 0.815463, &
0.143915, 0.468419, 1.26521, &
0.0938552, 0.272222, 0.374274, &
0.17918, 0.457854, 1.82332, &
0.0827782, 0.270842, 0.342522, &
0.167811, 0.298295, 1.05922, &
0.170454, 0.315802, 1.18806, &
0.0885638, 0.321581, 0.444846, &
0.33685, 1.1168, 6.69006, &
0.131763, 0.302245, 0.888346, &
0.117674, 0.38926, 0.906957, &
0.391747, 0.989056, 7.27382/)
allocate(NParray(1:9))
if(rep>100) then
write(*,*) color('ERROR in Vpion19 model. It has only 100 replicas. Central replica is set',c_red)
NParray=(/protonNP(1),protonNP(2),protonNP(3),protonNP(4),protonNP(5),protonNP(6),&
1d0*replicas((0+2)*3+1),1d0*replicas((0+2)*3+2),1d0*replicas((0+2)*3+3)/)
else
NParray=(/protonNP(1),protonNP(2),protonNP(3),protonNP(4),protonNP(5),protonNP(6),&
1d0*replicas((rep+2)*3+1),1d0*replicas((rep+2)*3+2),1d0*replicas((rep+2)*3+3)/)
end if
end subroutine GetReplicaParameters
end module uTMDPDF_model
| 10,426 | 36.37276 | 122 | f90 |
artemide-public | artemide-public-master/Prog/DY_example_v14.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!! Program that evaluate the cross-section for DY
!! Surves as an example of ardemide-based code
!! Please, refer to 1902.???? if you use it.
!!
!! Question, suggestions, etc: [email protected]
!! Extra information & details: https://github.com/VladimirovAlexey/artemide-public/blob/master/doc/Manual.pdf
!!
!! MADE ON ARTEMIDE 1.4
!! (compatibility with other versions in not guarantied)
!!
!! A.Vladimirov: 13.02.2019
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
program DYtest
!!load the artemide library related to DY cross-section
use TMDX_DY
implicit none
real*8::s,Qmin,Qmax,ymin,ymax,qtMin(1:5),qtMax(1:5),pTcut,etaCutMin,etaCutMax,xSec(1:5),xx
integer::process(1:3),i
!!The first step: initialize the artemide
!! it is a complex routine that runs thorugh modules, and read all initial inputs and prepare all variables
!! it could be called only ones (further calls will be ignored)
!! argument is "LO", "NLO", "NNLO" which specifies the order (see details in the manual)
call TMDX_DY_Initialize("NNLO")
write(*,*) "-----------------------------------------------------------------------------------------------------------------"
write(*,*) "---- if you do not need all these loading messages change the output level in the begining of constants-file ----"
write(*,*) "-----------------------------------------------------------------------------------------------------------------"
!!The second step: state the parameters of the non-perturbative model for TMDs
!! it can be done directly like --> call TMDX_DY_SetNPParameters((/3.3235d0,0.0380d0,0.2204d0, 7.0808d0,351.7950d0, 2.4632d0,-3.8334d0,0.0001d0, 0.0000d0/))
!! or using provided set (this is prefered option if you are not going to make a fit of TMDs)
!! In this case just state the number of the replica you would like to use (0=central) --> call TMDX_DY_SetNPParameters(0)
!!
!! The model is defined in the set of files in src/Model/ (see manual for details).
!! Some extra models are collected in /Models (change of the model module requares recompilation of the artemide)
!!
!! IMPORTANT: if the preparation of TMDs grid is ON (check it in "constants"-file option *3*B
!! then these grids will be calculated after evaluation of this command.
!! At NNLO it can take significant time (~3-5 min depending on computer), so set "LO" if you would like just to test the installation.
!! Switch off the grid option if you need to evaluate several points, otherwice using the grids significantly speed up the calculation.
call TMDX_DY_SetNPParameters(0)
!!----------------------------------------------
!!Now the artemide is ready for calculation!
!!----------------------------------------------
!!There are many parameters and specifications for xSec, including different phase space elements, fiducial cuts, bin-integrations, etc.
!!Artemide allows to calculate xSec in various combination/configurations. Check manual (sec on TMDX_DY) for details.
!!Naturally, it does not include all possibilities, but many. If your task requares some not included case, ask me -- I will be happy to include it into the code.
!!---------------------------------------------
!!Example of xSec calculation
!!---------------------------------------------
!! input:
!! process pp->gamma/Z
!! s=(8TeV)^2
!! 66<Q<116 GeV
!! 0.8<|y|<1.2
!! qt-bins: 0-2, 2-4, 4-6, 6-8, 8-10 GeV
!! fiducial cuts on detected lepton pair:
!! pT>20 GeV, -2.4<eta<2.4
!!
!! It corresponds to one of y-bins in ATLAS measurement at 8 TeV, presented in 1512.02192
process=(/1,1,5/)!! this is pp->gamma/Z
s=8000d0**2
Qmin=66d0
Qmax=116d0
ymin=0.8d0
ymax=1.2d0
qtMin=(/0.01d0,2d0,4d0,6d0,8d0/) !! for convergence it is better not to set qt=0 exactly in the presentce of fiducial cuts.Anyway cross-section ->0 at qt->0
qtMax=(/2d0,4d0,6d0,8d0,10d0/)
pTcut=20d0
etaCutMin=-2.4d0
etaCutMax=2.4d0
!!There are two equivalent interfaces to evaluation of DY xsec.
!! 1) Specify the process, kinematics, cuts first and then ask for xSec.
!! 2) The same in a single command with plenty of arguments.
!! Here is example of usage of both commands
!!---------------
!!1) step-by-step
!! set process
call TMDX_DY_SetProcess(process)
!! specify cut parameters (call with .false. if not fiducial cuts are needed)
call SetCuts(.true.,PTcut,etaCutMin,etaCutMax)
!! specify kinematic domain (s,Q,y) (since we going to integrate over Q and y, Q and y arguments play no role)
call TMDX_DY_XSetup(s,Qmin,ymin)
!! calculate xSec
!! here xSec must be array of the same length as qt-list.
call CalcXsec_DY_PTint_Qint_Yint(xSec,qtMin,qtMax,Qmin,Qmax,ymin,ymax)
!! Note that the calculate xSec is in the region 0.8<y<1.2. For the region 0.8<|y|<1.2 multiply it by 2 (since it is symmetric in y->-y)
!! also the data is avaraged in bit (while here is integrated), so we devide by a size of the bin
xSec=2d0*xSec/(qtMax-qtMin)
!! Here is the result!
write(*,*) "evaluation 1 : ",xSec
!!---------------
!!2) This way is simpler (and faster if you have many cores and compile artemde with openmp)
!! there is no need to specify all details independently. There is also a listable version of this function
do i=1,5
call xSec_DY(xx,process,s,(/qtMin(i),qtMax(i)/),(/Qmin,Qmax/),(/ymin,ymax/),.true.,(/pTcut,pTcut,etaCutMin,etaCutMax/))
xSec(i)=2d0*xx/(qtMax(i)-qtMin(i))
end do
!! Here is the result!
write(*,*) "evaluation 2 : ",xSec
!! results of both evaluations should be equal
!! compare it to actual numbers
write(*,*) "values from [1512.02192]: ", (/3.112d0,6.462d0,6.548d0,5.647d0,4.716d0/)
end program DYtest | 5,757 | 47.79661 | 162 | f90 |
artemide-public | artemide-public-master/Prog/DY_example_v2.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!! Program that evaluate the cross-section for DY
!! Surves as an example of ardemide-based code
!! Please, refer to 1902.08474 if you use it.
!!
!! Question, suggestions, etc: [email protected]
!! Extra information & details: https://github.com/VladimirovAlexey/artemide-public/blob/master/doc/Manual.pdf
!!
!! MADE ON ARTEMIDE 2.00
!! (compatibility with earlier versions is absent)
!!
!! A.Vladimirov: 05.04.2019
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
program DYtest
!!load the artemide control library
use aTMDe_control
!!load the artemide library related to DY cross-section
use TMDX_DY
implicit none
real*8::s,Qmin,Qmax,ymin,ymax,qtMin(1:5),qtMax(1:5),pTcut,etaCutMin,etaCutMax,xSec(1:5),xx
integer::process(1:3),i
!!The first step: initialize the artemide
!! it is a complex routine that runs through modules, and read all initial inputs and prepare all variables
!! it could be called only ones (further calls will be ignored)
!! the setup for current run is taken from the `constant-file'
!! here we load constants file from the model BSV19
call artemide_Initialize('constants-file','Models/BSV19.bFIT/')
write(*,*) "-----------------------------------------------------------------------------------------------------------------"
write(*,*) "---- if you do not need all these loading messages change the output level in the begining of constants-file ----"
write(*,*) "-----------------------------------------------------------------------------------------------------------------"
!!The second step: state the parameters of the non-perturbative model for TMDs, and evolution
!! it can be done directly like --> call uTMDPDF_SetNPParameters((/0.2204d0, 7.0808d0,351.7950d0, 2.4632d0,-3.8334d0,0.0001d0, 0.0000d0/))
!! or using provided set (this is prefered option if you are not going to make a fit of TMDs)
!! In this case just state the number of the replica you would like to use (0=central) --> call artemide_SetReplica_uTMDPDF(0) (for TMDPDF)
!! --> call artemide_SetReplica_TMDR(0) (for evolution)
!!
!! The model is defined in the set of files in src/Model/ (see manual for details).
!! Some extra models are collected in /Models (change of the model module requares recompilation of the artemide)
!!
!! IMPORTANT: if the preparation of TMDs grid is ON (check it in "constants"-file option *3*B
!! then these grids will be calculated after evaluation of this command.
!! At NNLO it can take significant time (~3-5 min depending on computer), so set "LO" if you would like just to test the installation.
!! Switch off the grid option if you need to evaluate several points, otherwice using the grids significantly speed up the calculation.
call artemide_SetReplica_uTMDPDF(0)
call artemide_SetReplica_TMDR(0)
!!----------------------------------------------
!!Now the artemide is ready for calculation!
!!----------------------------------------------
!!There are many parameters and specifications for xSec, including different phase space elements, fiducial cuts, bin-integrations, etc.
!!Artemide allows to calculate xSec in various combination/configurations. Check manual (sec on TMDX_DY) for details.
!!Naturally, it does not include all possibilities, but many. If your task requares some not included case, ask me -- I will be happy to include it into the code.
!!---------------------------------------------
!!Example of xSec calculation
!!---------------------------------------------
!! input:
!! process pp->gamma/Z
!! s=(8TeV)^2
!! 66<Q<116 GeV
!! 0.8<|y|<1.2
!! qt-bins: 0-2, 2-4, 4-6, 6-8, 8-10 GeV
!! fiducial cuts on detected lepton pair:
!! pT>20 GeV, -2.4<eta<2.4
!!
!! It corresponds to one of y-bins in ATLAS measurement at 8 TeV, presented in 1512.02192
process=(/1,1,5/)!! this is pp->gamma/Z
s=8000d0**2
Qmin=66d0
Qmax=116d0
ymin=0.8d0
ymax=1.2d0
qtMin=(/0.01d0,2d0,4d0,6d0,8d0/) !! for convergence it is better not to set qt=0 exactly in the presentce of fiducial cuts.Anyway cross-section ->0 at qt->0
qtMax=(/2d0,4d0,6d0,8d0,10d0/)
pTcut=20d0
etaCutMin=-2.4d0
etaCutMax=2.4d0
!!There are two equivalent interfaces to evaluation of DY xsec.
!! 1) Specify the process, kinematics, cuts first and then ask for xSec.
!! 2) The same in a single command with plenty of arguments.
!! Here is example of usage of both commands
!!---------------
!!1) step-by-step
!! set process
call TMDX_DY_SetProcess(process)
!! specify cut parameters (call with .false. if not fiducial cuts are needed)
call TMDX_DY_SetCuts(.true.,PTcut,etaCutMin,etaCutMax)
!! specify kinematic domain (s,Q,y) (since we going to integrate over Q and y, Q and y arguments play no role)
call TMDX_DY_XSetup(s,Qmin,ymin)
!! calculate xSec
!! here xSec must be array of the same length as qt-list.
call CalcXsec_DY_PTint_Qint_Yint(xSec,qtMin,qtMax,Qmin,Qmax,ymin,ymax)
!! Note that the calculate xSec is in the region 0.8<y<1.2. For the region 0.8<|y|<1.2 multiply it by 2 (since it is symmetric in y->-y)
!! also the data is avaraged in bit (while here is integrated), so we devide by a size of the bin
xSec=2d0*xSec/(qtMax-qtMin)
!! Here is the result!
write(*,*) "evaluation 1 : ",xSec
!!---------------
!!2) This way is simpler (and faster if you have many cores and compile artemde with openmp)
!! there is no need to specify all details independently. There is also a listable version of this function
do i=1,5
call xSec_DY(xx,process,s,(/qtMin(i),qtMax(i)/),(/Qmin,Qmax/),(/ymin,ymax/),.true.,(/pTcut,pTcut,etaCutMin,etaCutMax/))
xSec(i)=2d0*xx/(qtMax(i)-qtMin(i))
end do
!! Here is the result!
write(*,*) "evaluation 2 : ",xSec
!! results of both evaluations should be equal
!! compare it to actual numbers
write(*,*) "values from [1512.02192]: ", (/3.112d0,6.462d0,6.548d0,5.647d0,4.716d0/)
end program DYtest | 5,996 | 47.756098 | 162 | f90 |
artemide-public | artemide-public-master/Prog/DY_for_CMS.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!! Calculation of DY cross-section for CMS.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
program xSec_DY
use aTMDe_control
use TMDX_DY
implicit none
!!! this program evaluate cross-section for SIDIS
real*8 :: time1, time2
integer :: dummyINT,j
real*8 :: dummyREAL
logical::exist
integer:: process,ss
real*8:: Qmin,Qmax,s,ymin,ymax,ptCut,ptCut2
integer::s1,s2,s3,s4 !!! TMD sizes
real*8,allocatable, dimension(:) :: pt, xSec1,xSec2,xSec3,xSec4
real*8,allocatable, dimension(:) :: xSec11,xSec21,xSec31,xSec41!!!xSec for variation of c2+
real*8,allocatable, dimension(:) :: xSec12,xSec22,xSec32,xSec42!!!xSec for variation of c2-
real*8,allocatable, dimension(:) :: xSec13,xSec23,xSec33,xSec43!!!xSec for variation of c4+
real*8,allocatable, dimension(:) :: xSec14,xSec24,xSec34,xSec44!!!xSec for variation of c4-
! real*8,dimension(1:17)::ptBINS=(/0.1d0,2d0, 4d0, 6d0, 8d0, 10d0, &
! 12d0, 14d0, 18d0,22d0, 28d0, 37d0, 52d0, 85d0, 160d0, 240d0, 1000d0/)
real*8,dimension(1:17)::ptBINS=(/0.1d0,2d0, 4d0, 6d0, 8d0, 10d0, &
13d0, 16d0, 20d0,25d0, 30d0, 37d0, 45d0, 55d0, 65d0, 75d0, 1000d0/)
call cpu_time(time1)
process=1!!
!This is from the artemide ver.1.4
! call TMDX_DY_Initialize("NNLO")
! call TMDX_DY_SetNPParameters((/3.3235d0,0.0380d0,0.2204d0, 7.0808d0,351.7950d0, 2.4632d0,-3.8334d0,0.0001d0, 0.0000d0/))
!This is for artemide ver.2.00
call artemide_Initialize('constants-file','Models/BSV19.bFIT/')
call artemide_SetReplica_uTMDPDF(0)
call artemide_SetReplica_TMDR(0)
s=13000d0**2
ymin=-2.4d0
ymax=2.4d0
ptCut=25d0
ptCut2=20d0
call TMDX_DY_SetProcess(process)
!call SetCuts(.true.,ptCut,ptCut2,yMin,yMax)
call TMDX_DY_SetCuts(.true.,ptCut,ptCut2,yMin,yMax)
call TMDX_DY_XSetup(s,91d0,0d0)
!---------------------------------------------------------CENTRAL VALUE
Qmin=50d0
Qmax=76d0
do j=1,17
if(0.2d0*Qmax<ptBINS(j)) exit
end do
s1=j-1
allocate(pt(1:j))
allocate(xSec1(1:j-1),xSec11(1:j-1),xSec12(1:j-1),xSec13(1:j-1),xSec14(1:j-1))
pt=ptBINS(1:j)
ss=j-1
call CalcXsec_DY_PTint_Qint_Yint(xSec1,pt,Qmin,Qmax,ymin,ymax)
xSec1=xSec1/(pt(2:ss+1)-pt(1:ss))
deallocate(pt)
Qmin=76d0
Qmax=106d0
do j=1,17
if(0.2d0*Qmax<ptBINS(j)) exit
end do
s2=j-1
allocate(pt(1:j))
allocate(xSec2(1:j-1),xSec21(1:j-1),xSec22(1:j-1),xSec23(1:j-1),xSec24(1:j-1))
pt=ptBINS(1:j)
ss=j-1
call CalcXsec_DY_PTint_Qint_Yint(xSec2,pt,Qmin,Qmax,ymin,ymax)
xSec2=xSec2/(pt(2:ss+1)-pt(1:ss))
deallocate(pt)
Qmin=106d0
Qmax=170d0
do j=1,17
if(0.2d0*Qmax<ptBINS(j)) exit
end do
s3=j-1
allocate(pt(1:j))
allocate(xSec3(1:j-1),xSec31(1:j-1),xSec32(1:j-1),xSec33(1:j-1),xSec34(1:j-1))
pt=ptBINS(1:j)
ss=j-1
call CalcXsec_DY_PTint_Qint_Yint(xSec3,pt,Qmin,Qmax,ymin,ymax)
xSec3=xSec3/(pt(2:ss+1)-pt(1:ss))
deallocate(pt)
Qmin=170d0
Qmax=350d0
do j=1,17
if(0.2d0*Qmax<ptBINS(j)) exit
end do
s4=j-1
allocate(pt(1:j))
allocate(xSec4(1:j-1),xSec41(1:j-1),xSec42(1:j-1),xSec43(1:j-1),xSec44(1:j-1))
pt=ptBINS(1:j)
ss=j-1
call CalcXsec_DY_PTint_Qint_Yint(xSec4,pt,Qmin,Qmax,ymin,ymax)
xSec4=xSec4/(pt(2:ss+1)-pt(1:ss))
deallocate(pt)
!-----------------------------------------------------------------
!---------------------------------------------------------Variation of c2+
! call TMDX_DY_SetScaleVariations(1d0,2d0,1d0,1d0)
call artemide_SetScaleVariations(1d0,2d0,1d0,1d0)
Qmin=50d0
Qmax=76d0
call CalcXsec_DY_PTint_Qint_Yint(xSec11,ptBINS(1:s1+1),Qmin,Qmax,ymin,ymax)
xSec11=xSec11/(ptBins(2:s1+1)-ptBins(1:s1))
Qmin=76d0
Qmax=106d0
call CalcXsec_DY_PTint_Qint_Yint(xSec21,ptBINS(1:s2+1),Qmin,Qmax,ymin,ymax)
xSec21=xSec21/(ptBins(2:s2+1)-ptBins(1:s2))
Qmin=106d0
Qmax=170d0
call CalcXsec_DY_PTint_Qint_Yint(xSec31,ptBINS(1:s3+1),Qmin,Qmax,ymin,ymax)
xSec31=xSec31/(ptBins(2:s3+1)-ptBins(1:s3))
Qmin=170d0
Qmax=350d0
call CalcXsec_DY_PTint_Qint_Yint(xSec41,ptBINS(1:s4+1),Qmin,Qmax,ymin,ymax)
xSec41=xSec41/(ptBins(2:s4+1)-ptBins(1:s4))
!-----------------------------------------------------------------
!---------------------------------------------------------Variation of c2-
! call TMDX_DY_SetScaleVariations(1d0,0.5d0,1d0,1d0)
call artemide_SetScaleVariations(1d0,0.5d0,1d0,1d0)
Qmin=50d0
Qmax=76d0
call CalcXsec_DY_PTint_Qint_Yint(xSec12,ptBINS(1:s1+1),Qmin,Qmax,ymin,ymax)
xSec12=xSec12/(ptBins(2:s1+1)-ptBins(1:s1))
Qmin=76d0
Qmax=106d0
call CalcXsec_DY_PTint_Qint_Yint(xSec22,ptBINS(1:s2+1),Qmin,Qmax,ymin,ymax)
xSec22=xSec22/(ptBins(2:s2+1)-ptBins(1:s2))
Qmin=106d0
Qmax=170d0
call CalcXsec_DY_PTint_Qint_Yint(xSec32,ptBINS(1:s3+1),Qmin,Qmax,ymin,ymax)
xSec32=xSec32/(ptBins(2:s3+1)-ptBins(1:s3))
Qmin=170d0
Qmax=350d0
call CalcXsec_DY_PTint_Qint_Yint(xSec42,ptBINS(1:s4+1),Qmin,Qmax,ymin,ymax)
xSec42=xSec42/(ptBins(2:s4+1)-ptBins(1:s4))
!-----------------------------------------------------------------
!---------------------------------------------------------Variation of c4+
! call TMDX_DY_SetScaleVariations(1d0,1d0,1d0,2d0)
call artemide_SetScaleVariations(1d0,1d0,1d0,2d0)
Qmin=50d0
Qmax=76d0
call CalcXsec_DY_PTint_Qint_Yint(xSec13,ptBINS(1:s1+1),Qmin,Qmax,ymin,ymax)
xSec13=xSec13/(ptBins(2:s1+1)-ptBins(1:s1))
Qmin=76d0
Qmax=106d0
call CalcXsec_DY_PTint_Qint_Yint(xSec23,ptBINS(1:s2+1),Qmin,Qmax,ymin,ymax)
xSec23=xSec23/(ptBins(2:s2+1)-ptBins(1:s2))
Qmin=106d0
Qmax=170d0
call CalcXsec_DY_PTint_Qint_Yint(xSec33,ptBINS(1:s3+1),Qmin,Qmax,ymin,ymax)
xSec33=xSec33/(ptBins(2:s3+1)-ptBins(1:s3))
Qmin=170d0
Qmax=350d0
call CalcXsec_DY_PTint_Qint_Yint(xSec43,ptBINS(1:s4+1),Qmin,Qmax,ymin,ymax)
xSec43=xSec43/(ptBins(2:s4+1)-ptBins(1:s4))
!-----------------------------------------------------------------
!---------------------------------------------------------Variation of c4-
! call TMDX_DY_SetScaleVariations(1d0,1d0,1d0,0.5d0)
call artemide_SetScaleVariations(1d0,1d0,1d0,0.5d0)
Qmin=50d0
Qmax=76d0
call CalcXsec_DY_PTint_Qint_Yint(xSec14,ptBINS(1:s1+1),Qmin,Qmax,ymin,ymax)
xSec14=xSec14/(ptBins(2:s1+1)-ptBins(1:s1))
Qmin=76d0
Qmax=106d0
call CalcXsec_DY_PTint_Qint_Yint(xSec24,ptBINS(1:s2+1),Qmin,Qmax,ymin,ymax)
xSec24=xSec24/(ptBins(2:s2+1)-ptBins(1:s2))
Qmin=106d0
Qmax=170d0
call CalcXsec_DY_PTint_Qint_Yint(xSec34,ptBINS(1:s3+1),Qmin,Qmax,ymin,ymax)
xSec34=xSec34/(ptBins(2:s3+1)-ptBins(1:s3))
Qmin=170d0
Qmax=350d0
call CalcXsec_DY_PTint_Qint_Yint(xSec44,ptBINS(1:s4+1),Qmin,Qmax,ymin,ymax)
xSec44=xSec44/(ptBins(2:s4+1)-ptBins(1:s4))
!-----------------------------------------------------------------
write(*,*) ' sqrt(s) = ',Sqrt(s)
write(*,*) ' y in (',ymin,',',ymax,')'
write(*,*) ' pt(cut1) = ',ptCut
write(*,*) ' pt(cut2) = ',ptCut2
write(*,*) ' '
write(*,*) '50<Q< 76: number of TMD bins ',size(xSec1)
write(*,*) 'pt(min), pt(max), xSec, err-, err+'
do j=1,size(xSec1)
write(*,'(F6.2," ", F6.2," ", ES12.3E3," ", ES12.3E3," ", ES12.3E3)') ptBINS(j),ptBINS(j+1),xSec1(j),&
min(xSec1(j),xSec11(j),xSec12(j),xSec13(j),xSec14(j)),&
max(xSec1(j),xSec11(j),xSec12(j),xSec13(j),xSec14(j))
end do
write(*,*) " "
write(*,*) '76<Q< 106: number of TMD bins ',size(xSec2)
write(*,*) 'pt(min), pt(max), xSec, err-, err+'
do j=1,size(xSec2)
write(*,'(F6.2," ", F6.2," ", ES12.3E3," ", ES12.3E3," ", ES12.3E3)') ptBINS(j),ptBINS(j+1),xSec2(j),&
min(xSec2(j),xSec21(j),xSec22(j),xSec23(j),xSec24(j)),&
max(xSec2(j),xSec21(j),xSec22(j),xSec23(j),xSec24(j))
end do
write(*,*) " "
write(*,*) '106<Q< 170: number of TMD bins ',size(xSec3)
write(*,*) 'pt(min), pt(max), xSec, err-, err+'
do j=1,size(xSec3)
write(*,'(F6.2," ", F6.2," ", ES12.3E3," ", ES12.3E3," ", ES12.3E3)') ptBINS(j),ptBINS(j+1),xSec3(j),&
min(xSec3(j),xSec31(j),xSec32(j),xSec33(j),xSec34(j)),&
max(xSec3(j),xSec31(j),xSec32(j),xSec33(j),xSec34(j))
end do
write(*,*) " "
write(*,*) '170<Q< 350: number of TMD bins ',size(xSec4)
write(*,*) 'pt(min), pt(max), xSec, err-, err+'
do j=1,size(xSec4)
write(*,'(F6.2," ", F6.2," ", ES12.3E3," ", ES12.3E3," ", ES12.3E3)') ptBINS(j),ptBINS(j+1),xSec4(j),&
min(xSec4(j),xSec41(j),xSec42(j),xSec43(j),xSec44(j)),&
max(xSec4(j),xSec41(j),xSec42(j),xSec43(j),xSec44(j))
end do
call cpu_time(time2)
!
write(*,*) 'Calculation time=',time2-time1
!
end program xSec_DY | 8,987 | 28.276873 | 124 | f90 |
artemide-public | artemide-public-master/Prog/DY_for_RHIC.f90 | program example
use aTMDe_control
use TMDX_DY
implicit none
!--------------------------------------------------------
!! CALCULATING THE unpolarized DY-cross-section for RHIC
!!
!!
!!leptons-PT > 25 GeV
!!|leptons-Eta| < 1.1
!!73 < Minv < 126 GeV
!!sqrt(s) = 510 GeV
!--------------------------------------------------------
! pt-bins
integer,parameter::numPoints=11
integer,parameter::numReplica=300
!
!-------Kinematics definition
real*8,parameter::ptABSOLUTEMAX=25d0
real*8,parameter::s=510d0**2
integer,dimension(1:3),parameter::proc=(/1,1,5/) !p+p->gamma*+Z
real*8,parameter::etamax=1.1d0
real*8,parameter::ptCut=25d0
real*8,parameter::Qmin=73d0
real*8,parameter::Qmax=126d0
!------
real*8::pmin(1:numPoints),pmax(1:numPoints),X(1:numPoints),Xrep(1:numReplica,1:numPoints)
real*8::Xmean(1:numPoints), Xdev(1:numPoints)
integer::i,j
!$ real*8::OMP_get_wtime,t1,t2,t3,t4
call artemide_Initialize('const-DYfit18_NNLO',prefix='/misc/data2/braun/vla18041/arTeMiDe_Repository/')
!$ t3=OMP_get_wtime()
call artemide_SetReplica_uTMDPDF(0)
call artemide_SetReplica_TMDR(0)
!! make pt-bins
! do i=1,numPoints
! pmin(i)=ptABSOLUTEMAX*real(i-1)/real(numPoints)
! pmax(i)=ptABSOLUTEMAX*real(i)/real(numPoints)
! end do
pmin=(/0d0, 1.25d0, 2.5d0, 3.75d0, 5d0, 7.5d0, 10d0, 12.5d0, 15d0, 17.5d0, 20d0/)
pmax=(/1.25d0, 2.5d0, 3.75d0, 5d0, 7.5d0, 10d0, 12.5d0, 15d0, 17.5d0, 20d0,25d0/)
! ! just for check
! do i=1,numPoints
! call xSec_DY(X1(i),proc,s,(/pmin(i),pmax(i)/),(/Qmin,Qmax/),(/-2d0,2d0/),.true.,(/ptCut,ptCut,-etamax,etamax/))
! write(*,*) pmin(i),'--',pmax(i),': ',X1(i)
! end do
!$ t1=OMP_get_wtime()
!! setting parameters
call TMDX_DY_SetProcess(proc)
call TMDX_DY_XSetup(s,91d0,0d0)
call TMDX_DY_SetCuts(.true.,ptCut,-etamax,etamax)
!! main replica
call CalcXsec_DY_PTint_Qint_Yint(X,pmin,pmax,Qmin,Qmax)
!$ t2=OMP_get_wtime()
!$ write(*,*) 'Evaluation took', t2-t1, 'sec. (wallclock time)'
do j=1,numPoints
X(j)=X(j)/(pmax(j)-pmin(j))
end do
!!! fit replicas
do i=1,numReplica
write(*,*) '----------------------REPLICA',i,'------------------------'
!$ t1=OMP_get_wtime()
call artemide_SetReplica_uTMDPDF(i)
call artemide_SetReplica_TMDR(i)
!! setting parameters
call TMDX_DY_SetProcess(proc)
call TMDX_DY_XSetup(s,91d0,0d0)
call TMDX_DY_SetCuts(.true.,ptCut,-etamax,etamax)
call CalcXsec_DY_PTint_Qint_Yint(Xrep(i,:),pmin,pmax,Qmin,Qmax)
do j=1,numPoints
Xrep(i,j)=Xrep(i,j)/(pmax(j)-pmin(j))
end do
!$ t2=OMP_get_wtime()
!$ write(*,*) 'Evaluation took', t2-t1, 'sec. (wallclock time)'
end do
call artemide_ShowStatistics()
!$ t4=OMP_get_wtime()
!$ write(*,*) 'Total Evaluation took', t4-t3, 'sec. (wallclock time)'
!! caluculating mean value
do i=1,numPoints
Xmean(i)=sum(Xrep(:,i))/numReplica
end do
write(*,*) 'check:',Xmean-X
!! caluculating deviation
do i=1,numPoints
Xdev(i)=sqrt(sum(Xrep(:,i)**2)/numReplica-Xmean(i)**2)
end do
open(7, file='RHIC-01-bins', status="replace", action="write")
do i=1,numPoints
write(7,"(F8.2,F8.2,F12.6,F12.6,F12.6)") pmin(i),pmax(i), X(i), Xmean(i)-Xdev(i)-X(i),Xmean(i)+Xdev(i)-X(i)
end do
CLOSE (7, STATUS='KEEP')
end program example | 3,153 | 27.672727 | 115 | f90 |
artemide-public | artemide-public-master/Prog/Test_Fourier.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!Program computes Fouries of test cases and compare to exact values
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
program example
use aTMDe_control
use TMDF
implicit none
integer,parameter::Nt=18
real*8::testString(1:Nt),qT(1:Nt)
real*8::par1,par2,par3,tt,tt1
integer::j
call artemide_Initialize('const-TEST',prefix='/home/vla18041/LinkData2/arTeMiDe_Repository/artemide/Prog/')
!----------------------------------------------------------------------------------------------------------------------------------
qT(1)=0.001d0
qT(2)=0.01d0
qT(3)=0.05d0
qT(4)=0.1d0
qT(5)=0.5d0
qT(6)=1d0
qT(7)=2d0
qT(8)=4d0
qT(9)=6d0
qT(10)=10d0
qT(11)=15d0
qT(12)=20d0
qT(13)=25d0
qT(14)=30d0
qT(15)=40d0
qT(16)=50d0
qT(17)=75d0
qT(18)=90d0
!----------------------------------------------------------------------------------------------------------------------------------
write(*,*) '------------------------Exponential test-------------------------------------------------------------------------'
write(*,*) '>>>> mu=0.2, x1=0, x2=0 '
par1=0.2d0
par2=0d0
par3=0d0
! tt=TMDF_F(1d0,2d0,par2,par3,par1,1d0,1d0,9999)
!
! stop
do j=1,Nt
tt=TMDF_F(1d0,qT(j),par2,par3,par1,1d0,1d0,9999)
tt1=Exact9999(qT(j),par1,par2,par3)
write(*,"(F14.6,' ')",advance='no') tt/tt1
call TMDF_ResetCounters()
end do
write(*,*)
write(*,*) '>>>> mu=0.5, x1=0, x2=0 '
par1=0.5d0
par2=0d0
par3=0d0
do j=1,Nt
tt=TMDF_F(1d0,qT(j),par2,par3,par1,1d0,1d0,9999)
tt1=Exact9999(qT(j),par1,par2,par3)
write(*,"(F14.6,' ')",advance='no') tt/tt1
call TMDF_ResetCounters()
end do
write(*,*)
write(*,*) '------------------------Gaussian test-------------------------------------------------------------------------'
write(*,*) '>>>> mu=0.2, x1=0, x2=0 '
par1=0.2d0
par2=0d0
par3=0d0
do j=1,Nt
tt=TMDF_F(1d0,qT(j),par2,par3,par1,1d0,1d0,9998)
tt1=Exact9998(qT(j),par1,par2,par3)
if(abs(tt1)>0d0) then
write(*,"(F14.6,' ')",advance='no') tt/tt1
else
write(*,"(F14.6,'/0 ')",advance='no') tt
end if
call TMDF_ResetCounters()
end do
write(*,*)
write(*,*) '>>>> mu=0.5, x1=0, x2=0 '
par1=0.5d0
par2=0d0
par3=0d0
do j=1,Nt
tt=TMDF_F(1d0,qT(j),par2,par3,par1,1d0,1d0,9998)
tt1=Exact9998(qT(j),par1,par2,par3)
if(abs(tt1)>0d0) then
write(*,"(F14.6,' ')",advance='no') tt/tt1
else
write(*,"(F14.6,'/0 ')",advance='no') tt
end if
call TMDF_ResetCounters()
end do
write(*,*)
contains
!!! the exact value of test function 9999 at qt,mu,x1,x2
function Exact9999(qT_in,mu,x1,x2)
real*8::Exact9999,qT_in,mu,x1,x2
real*8::X
X=(qT_in/mu)**2
Exact9999=1d0/(2d0*(mu**2)*(1+X)**(3d0/2d0))*(1d0+x1/mu**2*(6d0-9d0*X)/(1+X)**2+15d0*x2/mu**4*(8d0-40d0*X+15d0*X**2)/(1+X)**4)
end function Exact9999
!!! the exact value of test function 9998 at qt,mu,x1,x2
function Exact9998(qT_in,mu,x1,x2)
real*8::Exact9998,qT_in,mu,x1,x2
real*8::Y
Y=qT_in**2/4d0/mu
Exact9998=Exp(-Y)/4d0/mu*(1d0+x1/mu*(1d0-Y)+x2/mu**2*(2d0-4d0*Y+Y**2))
end function Exact9998
end program example
| 3,110 | 23.304688 | 131 | f90 |
artemide-public | artemide-public-master/Prog/UpdateCONST.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!! Elementary program that read old-constants-file (possibly for older version of artemide)
!! and create a new (for current version of artemide)
!!
!! A.Vladimirov (08.07.2019)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
program example
use aTMDe_setup
implicit none
CHARACTER(*),parameter::path=' ..... '
CHARACTER(*),parameter::fileIN='const-test'
CHARACTER(*),parameter::fileOUT='const-test+'
call artemide_Setup_fromFile(fileIN,prefix=path)
call CreateConstantsFile(fileOUT,prefix=path)
end program example | 660 | 37.882353 | 91 | f90 |
artemide-public | artemide-public-master/Prog/test.f90 | program example
use aTMDe_control
use TMDX_DY
implicit none
real*8,dimension(1:3)::xSec,pt,ptmin,ptmax
real*8,dimension(1:4)::ptPLUS
integer :: j
real*8 :: time1, time2,xx
real*8,dimension(1:2):: p1,p2,p3
real*8,dimension(1:4)::cc
integer,dimension(1:3)::pp
real*8,dimension(1:3,1:2)::qtList,Qlist,yList
real*8,dimension(1:3,1:4)::cutList
logical,dimension(1:3)::inCutList
integer,dimension(1:3,1:3)::pList
integer,dimension(1:3)::nnList
real*8,dimension(1:3)::X,sList
!$ real*8::OMP_get_wtime,t1,t2
call cpu_time(time1)
!$ t1=OMP_get_wtime()
write(*,*) "Initialize artemide at LO. It is fast ~1 sek. NNLO could be much longer ~5 min."
call artemide_Initialize('const-test')
! call TMDX_DY_Initialize('LO')
! call TMDX_DY_setProcess(1,1,6)
! call SetCuts(.true.,20d0,-2.4d0,2.4d0)
! call TMDX_DY_XSetup(8000d0**2,91d0,0.01d0)
! call TMDX_DY_SetNPParameters(0)
!call artemide_SetReplica_uTMDPDF(0)
!call artemide_SetReplica_TMDR(0)
do j=1,3
pt(j)=2*REAL(j)
ptmin(j)=pt(j)-1d0
ptPLUS(j)=ptmin(j)
ptmax(j)=pt(j)+1d0
end do
ptPLUS(4)=ptMax(3)
! call CalcXsec_DY_PTint_Qint_Yint(xSec,ptmin,ptmax,66d0,126d0,-0.5d0,3.5d0)
! do j=1,3
! write(*,*) ptmin(j),'--',ptmax(j),xSec(j)
! end do
!
write(*,*) "Calculating some values for cross-section one-by-one (DY around Z-boson peak, ATLAS 8TeV kinematics)"
write(*,*) "ptMin -- ptMax xSec"
do j=1,3
! write(*,*) ptmin(j),'--',ptmax(j),xSec_DY(process=(/1,1,6/),s=8000d0**2,&
! qT=(/ptMin(j),ptmax(j)/),Q=(/66d0,126d0/),y=(/-0.5d0,3.5d0/),&
! includeCuts=.true.,CutParameters=(/20d0,20d0,-2.4d0,2.4d0/),Num=4)
p1=(/ptMin(j),ptmax(j)/)
p2=(/66d0,116d0/)
p3=(/-2.4d0,2.4d0/)
cc=(/20d0,20d0,-2.4d0,2.4d0/)
pp=(/1,1,5/)
call xSec_DY(xx,pp,(8000d0)**2,p1,p2,p3,.true.,CutParameters=cc)
write(*,*) ptmin(j),'--',ptmax(j),xx
end do
write(*,*) " "
write(*,*) "Now the same by list"
!$ write(*,*) "It must be faster since you use OPENMP"
do j=1,3
qtList(j,:)=(/ptMin(j),ptmax(j)/)
Qlist(j,:)=(/66d0,116d0/)
yList(j,:)=(/-2.4d0,2.4d0/)
inCutList(j)=.true.
cutList(j,:)=(/20d0,20d0,-2.4d0,2.4d0/)
pList(j,:)=(/1,1,5/)
nnList(j)=4
sList(j)=(8000d0)**2
end do
call xSec_Dy_List(X,pList,sList,qtList,Qlist,yList,inCutList,cutList,nnList)
write(*,*) "result:", X
write(*,*) '-----------------------------------------------------------------------------------------------'
call cpu_time(time2)
!$ t2=OMP_get_wtime()
write(*,*) 'The programm evaluation took', time2-time1, 'sec. (CPU time)'
!$ write(*,*) 'The programm evaluation took', t2-t1, 'sec. (wallclock time)'
write(*,*) ' '
write(*,*) 'If you do not like so many terminal messages check the parameter outputlevel in constants file.'
write(*,*) 'Not forget to cite artemide [1706.01473]'
write(*,*) '-----------------------------------------------------------------------------------------------'
end program example
| 3,025 | 31.537634 | 115 | f90 |
artemide-public | artemide-public-master/Prog/update-constants-file.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!! The program that check the constants-file and update it if nessecary
!! requares an argument (full path to constants file)
!!
!! A.Vladimirov (05.11.2019)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
program example
use aTMDe_setup
use IO_functions
implicit none
real*8::Q
CHARACTER(len=516)::path,path_backup
CHARACTER(100)::line
logical::file_exists,save_backup,to_update,backup_replace
CHARACTER(len=1)::ask
integer::iostatus
write(*,*) "--------------------------------------------------------------------------------"
write(*,*) "-------------------- artemide.UpdateConstantsFile ------------------------------"
to_update=.false.
save_backup=.true.
backup_replace=.false.
!!! receive the argument
call get_command_argument(1,path)
if(len_trim(path)==0) then
write(*,*) color(" artemide.UpdateConstantsFile-routine: pass the path to constants-file.",c_red)
call exit(0)
end if
!!chech the presence of the file
INQUIRE(FILE=trim(path), EXIST=file_exists)
if(.not.file_exists) then
write(*,*) color(" artemide.UpdateConstantsFile-routine: constants-file is not found.",c_red)
write(*,*) color(" check path: "//trim(path),c_red)
call exit(0)
end if
!! output with the path
write(*,*) " FILE: ",color(trim(path),c_green_bold)
!! check for nessecity to update
if(CheckConstantsFile(trim(path))) then
write(*,*) color(" ... update is not required",c_green)
call exit(0)
else
write(*,*) color(" ... update is required",c_green)
end if
!!ask user
write(*,*) color(" Do you want to update this file? (y/n)",c_green_bold)
read(*,*) ask
if(ask=='y') to_update=.true.
if (.not.to_update) call exit(0)
write(*,*) color(" Do you want to save backup copy of this file? (y/n)",c_green_bold)
read(*,*) ask
if(ask=='n') save_backup=.false.
!!! check for possibility to backup
if(save_backup) then
path_backup=trim(path)//"_backup"
write(*,*) ' backup copy will be saved to :',color(trim(path_backup),c_green_bold)
INQUIRE(FILE=trim(path_backup), EXIST=file_exists)
if(file_exists) then
write(*,*) color(' backup file with such name already exists. Replace? (y/n)',c_red_bold)
read(*,*) ask
if(ask=='y') backup_replace=.true.
if(.not.backup_replace) then
write(*,*) ' program terminated'
call exit(0)
end if
if(backup_replace) write(*,*) ' ... backup will be replaced'
end if
end if
!!! save backup
if(save_backup) then
OPEN(UNIT=51, FILE=path, ACTION="read", STATUS="old")
OPEN(UNIT=52, FILE=path_backup, ACTION="write", STATUS="replace")
do
read(51,'(A)',IOSTAT=iostatus) line
if(iostatus>0) then
write(*,*) color(' ... some problem in reading file...',c_red_bold)
stop
else if(iostatus<0) then
exit
else
write(52,'(A)') trim(line)
end if
end do
CLOSE (51, STATUS='KEEP')
CLOSE (52, STATUS='KEEP')
write(*,*) color(' ... backup file saved normally',c_green)
end if
call artemide_Setup_fromFile(trim(path))
call CreateConstantsFile(trim(path))
write(*,*) color(' DONE!',c_green)
end program example
| 3,272 | 30.471154 | 99 | f90 |
artemide-public | artemide-public-master/Prog/SV19_programs/DY_smooth-plot-withPDF.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!Program makes a smooth plot at givem s,Q,y, in qT (no bin-integrations)
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
program example
use aTMDe_control
use uTMDPDF
use TMDX_DY
implicit none
integer::numR=100
integer,dimension(1:3)::proc
real*8::y,Q,s
real*8::stepqT,maxqT
integer::i,j,maxI,k
real*8,allocatable::X(:),qT(:),mean(:),deviation(:)
real*8 :: a1,a2,a3,a4,a5,a6,a7,a8,a9
call artemide_Initialize('const-DY_TEST',prefix='/home/vla18041/LinkData2/arTeMiDe_Repository/Constants-files/')
call artemide_SetNPparameters_TMDR((/1.86041d0, 0.029551d0/))
call artemide_SetNPparameters_uTMDPDF((/0.253434d0, 9.04351d0, 346.999d0, 2.47992d0, -5.69988d0, 0.d0, 0.d0/))
proc=(/1,1,5/) !!!! pp DY
! s=25d0**2
! Q=8d0
! y=0.2d0
! stepqT=0.1d0
s=8000d0**2
Q=91.d0
y=0d0
stepqT=0.25d0
maxqT=0.25d0*Q
maxI=Int(maxqT/stepqT)
call TMDX_DY_setProcess(proc)
call TMDX_DY_XSetup(s,Q,y)
call TMDX_DY_SetCuts(.false.,0d0,-10d0,10d0)!!! no cuts
allocate(qT(1:maxI))
allocate(X(1:maxI))
allocate(deviation(1:maxI))
allocate(mean(1:maxI))
do i=1,maxI
qT(i)=stepqT*i
end do
call CalcXsec_DY(X,qT)
write(*,*) '-------------------------Central------------------------'
do i=1,maxI
write(*,'("{",F6.3,",",F12.8,"},")') qT(i),X(i)
!write(*,*) qT(i),X(i)
end do
!goto 10
write(*,*) '-------------------------PDF distr------------------------'
do i=1,maxI
mean(i)=0d0
deviation(i)=0d0
end do
OPEN(UNIT=51, FILE="/home/vla18041/LinkData2/WorkingFiles/TMD/Fit_Notes/FIGURES_DY+SIDIS_2019/PDF-replicas/NNPDF_dist.txt",&
ACTION="read", STATUS="old")
!! replicas
do j=1,numR
read(51,*) k,a1,a2,a3,a4,a5,a6,a7,a8,a9
call uTMDPDF_SetPDFReplica(k)
call uTMDPDF_SetLambdaNP((/a3,a4,a5,a6,a7,a8,a9/),.false.,.false.)
call CalcXsec_DY(X,qT)
do i=1,maxI
mean(i)=mean(i)+X(i)
deviation(i)=deviation(i)+X(i)**2
end do
end do
CLOSE (51, STATUS='KEEP')
do i=1,maxI
mean(i)=mean(i)/numR
deviation(i)=Sqrt(deviation(i)/numR-mean(i)**2)
end do
do i=1,maxI
write(*,"('{',F10.7,',',F10.7,',',F10.7,',',F10.7,'},')") qT(i),mean(i),mean(i)-deviation(i),mean(i)+deviation(i)
end do
10 write(*,*) '-------------------------PDF distr+------------------------'
do i=1,maxI
mean(i)=0d0
deviation(i)=0d0
end do
OPEN(UNIT=51, FILE="/home/vla18041/LinkData2/WorkingFiles/TMD/Fit_Notes/FIGURES_DY+SIDIS_2019/PDF-replicas/NNPDF_dist+.txt",&
ACTION="read", STATUS="old")
!! replicas
numR=46
do j=1,numR
read(51,*) k,a1,a2,a3,a4,a5,a6,a7,a8,a9
call uTMDPDF_SetPDFReplica(k)
call uTMDPDF_SetLambdaNP((/a3,a4,a5,a6,a7,a8,a9/),.false.,.false.)
call CalcXsec_DY(X,qT)
do i=1,maxI
mean(i)=mean(i)+X(i)
deviation(i)=deviation(i)+X(i)**2
end do
end do
CLOSE (51, STATUS='KEEP')
do i=1,maxI
mean(i)=mean(i)/numR
deviation(i)=Sqrt(deviation(i)/numR-mean(i)**2)
end do
do i=1,maxI
write(*,"('{',F10.7,',',F10.7,',',F10.7,',',F10.7,'},')") qT(i),mean(i),mean(i)-deviation(i),mean(i)+deviation(i)
end do
write(*,*) '-------------------------fNP distir------------------------'
do i=1,maxI
mean(i)=0d0
deviation(i)=0d0
end do
OPEN(UNIT=51, FILE="/home/vla18041/LinkData2/WorkingFiles/TMD/Fit_Notes/FIGURES_DY+SIDIS_2019/PDF-replicas/NNPDF_stat.txt",&
ACTION="read", STATUS="old")
!! replicas
numR=100
do j=1,numR
read(51,*) k,a1,a2,a3,a4,a5,a6,a7,a8,a9
call uTMDPDF_SetPDFReplica(k)
call uTMDPDF_SetLambdaNP((/a3,a4,a5,a6,a7,a8,a9/),.false.,.false.)
call CalcXsec_DY(X,qT)
do i=1,maxI
mean(i)=mean(i)+X(i)
deviation(i)=deviation(i)+X(i)**2
end do
end do
CLOSE (51, STATUS='KEEP')
do i=1,maxI
mean(i)=mean(i)/numR
deviation(i)=Sqrt(deviation(i)/numR-mean(i)**2)
end do
do i=1,maxI
write(*,"('{',F10.7,',',F10.7,',',F10.7,',',F10.7,'},')") qT(i),mean(i),mean(i)-deviation(i),mean(i)+deviation(i)
end do
end program example | 4,020 | 23.369697 | 125 | f90 |
artemide-public | artemide-public-master/Prog/SV19_programs/DY_smooth-plot.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!Program makes a smooth plot at givem s,Q,y, in qT (no bin-integrations)
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
program example
use aTMDe_control
use TMDX_DY
implicit none
integer,dimension(1:3)::proc
real*8::y,Q,s
real*8::stepqT,maxqT,r
integer::i,maxI
real*8,allocatable::X(:),qT(:),X1(:),X2(:),X3(:),X4(:)
call artemide_Initialize('const-DY_LO',prefix='/home/vla18041/LinkData2/arTeMiDe_Repository/Constants-files/')
! call artemide_Initialize('const-DY_LO',prefix='/home/alexey/artemide_Repository/Constants-files/')!
call artemide_SetNPparameters_TMDR((/1.86041d0, 0.029551d0/))
call artemide_SetNPparameters_uTMDPDF((/0.253434d0, 9.04351d0, 346.999d0, 2.47992d0, -5.69988d0, 0.d0, 0.d0/))
! call artemide_SetNPparameters_TMDR((/2d0,0.001d0/))
! call artemide_SetNPparameters_uTMDPDF((/0.01d0, 0.01d0, 0d0, 0d0, 0d0, 0.d0, 0.d0/))
proc=(/1,1,5/) !!!! pp DY
s=8000d0**2
Q=40.d0
y=2d0
s=200d0**2
Q=6d0
y=1.5d0
call TMDX_DY_setProcess(proc)
call TMDX_DY_XSetup(s,Q,y)
call TMDX_DY_SetCuts(.false.,0d0,-10d0,10d0)!!! no cuts
maxqT=0.3d0*Q
stepqT=0.025d0
maxI=Int(maxqT/stepqT)
allocate(qT(1:maxI))
allocate(X(1:maxI))
do i=1,maxI
qT(i)=stepqT*i
end do
call CalcXsec_DY(X,qT)
!!!!!!!!!!!!!!!!!!!!!!!!!!! to compute variation band do this
!!! else
! goto 100
allocate(X1(1:maxI))
allocate(X2(1:maxI))
allocate(X3(1:maxI))
allocate(X4(1:maxI))
r=2d0
call artemide_SetScaleVariations(1d0,1d0/r,1d0,1d0)
call CalcXsec_DY(X1,qT)
call artemide_SetScaleVariations(1d0,1d0*r,1d0,1d0)
call CalcXsec_DY(X2,qT)
call artemide_SetScaleVariations(1d0,1d0,1d0,1d0/r)
call CalcXsec_DY(X3,qT)
call artemide_SetScaleVariations(1d0,1d0,1d0,1d0*r)
call CalcXsec_DY(X4,qT)
100 do i=1,maxI
if(allocated(X1)) then
write(*,'("{",F6.3,",",F14.12,",",F14.12,",",F14.12,"},")') &
qT(i),X(i),max(X(i),X1(i),X2(i),X3(i),X4(i)),min(X(i),X1(i),X2(i),X3(i),X4(i))
else
write(*,'("{",F6.3,",",F14.12,"},")') qT(i),X(i)
end if
!write(*,*) qT(i),X(i)
end do
end program example | 2,114 | 25.111111 | 110 | f90 |
artemide-public | artemide-public-master/Prog/SV19_programs/DY_smooth-plot_err.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!Program makes a smooth plot at givem s,Q,y, in qT (no bin-integrations)
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
program example
use aTMDe_control
use TMDX_DY
implicit none
character(*),parameter::prefix='/home/vla18041/LinkData2/arTeMiDe_Repository/artemide/Models/SV19/'
character(*),parameter::repFILE=prefix//'Replicas/DY+SIDIS/DY+SIDIS_NNPDF31+DSS_nnlo.rep'
character(*),parameter::constFILE=prefix//'constants-files/DY+SIDIS_nnlo/const-DY+SIDIS_NNPDF31+DSS_nnlo'
real*8,allocatable::NParray(:)
integer::numR
integer,dimension(1:3)::proc
real*8::s,yMin,yMax,Qmin,Qmax
real*8::stepqT,maxqT,r
integer::i,maxI
real*8,allocatable::X0(:),Xplus(:),Xminus(:),qTmin(:),qTmax(:)
call artemide_Initialize(constFILE)
numR=artemide_NumOfReplicasInFile(repFILE)
call artemide_GetReplicaFromFile(repFILE,0,NParray)
!call artemide_SetNPparameters_TMDR(NParray(1:2))
call artemide_SetNPparameters(NParray)
proc=(/1,1,5/) !!!! pp DY
s=7000d0**2
Qmin=20.d0
Qmax=40.d0
ymin=2.d0
ymax=4.5d0
call TMDX_DY_setProcess(proc)
call TMDX_DY_XSetup(s,(Qmax+Qmin)/2d0,(ymax+ymin)/2d0)
call TMDX_DY_SetCuts(.true.,15d0,2.d0,4.5d0)!!! no cuts
maxqT=0.3d0*(Qmax+Qmin)/2d0
stepqT=0.25d0
maxI=Int(maxqT/stepqT)
allocate(qTmin(1:maxI))
allocate(qTmax(1:maxI))
do i=1,maxI
qTmin(i)=stepqT*(i-1)
qTmax(i)=stepqT*i
end do
!call ComputeXsecWithStatErr(qTmin,qTmax,X0,Xminus,Xplus)
call ComputeXsecWithScaleErr(qTmin,qTmax,X0,Xminus,Xplus)
write(*,*) '---------------------------S=7TeV---------------------------------------'
do i=1,maxI
write(*,'("{",F6.3,",",F6.3,",",F14.12,",",F14.12,",",F14.12,"},")') qTmin(i),qTmax(i),X0(i),Xminus(i),Xplus(i)
end do
s=8000d0**2
call TMDX_DY_XSetup(s,(Qmax+Qmin)/2d0,(ymax+ymin)/2d0)
!call ComputeXsecWithStatErr(qTmin,qTmax,X0,Xminus,Xplus)
call ComputeXsecWithScaleErr(qTmin,qTmax,X0,Xminus,Xplus)
write(*,*) '---------------------------S=8TeV---------------------------------------'
do i=1,maxI
write(*,'("{",F6.3,",",F6.3,",",F14.12,",",F14.12,",",F14.12,"},")') qTmin(i),qTmax(i),X0(i),Xminus(i),Xplus(i)
end do
contains
!!! compute statistical error due to replica distribution
subroutine ComputeXsecWithStatErr(qTmin_in,qTmax_in,Xout,XminusOut,XplusOut)
real*8,intent(in)::qTmin_in(:),qTmax_in(:)
real*8,allocatable,intent(out)::XOut(:),XminusOut(:),XplusOut(:)
real*8,allocatable::mean(:),deviation(:),X(:),Err(:)
integer::l,i,j
l=size(qTmin_in)
allocate(XOut(1:l))
allocate(XminusOut(1:l))
allocate(XplusOut(1:l))
allocate(mean(1:l))
allocate(deviation(1:l))
allocate(X(1:l))
allocate(Err(1:l))
do i=1,l
mean(i)=0d0
deviation(i)=0d0
end do
do j=1,numR
call artemide_GetReplicaFromFile(repFILE,j,NParray)
call artemide_SetNPparameters(NParray)
call CalcXsec_DY_PTint_Qint_Yint(X,qTmin_in,qTmax_in,Qmin,Qmax,yMin,yMax)
mean=mean+X
deviation=deviation+X**2
end do
do i=1,l
Xout(i)=mean(i)/numR
Err(i)=Sqrt(deviation(i)/numR - Xout(i)**2)
XminusOut(i)=Xout(i)-Err(i)
XplusOut(i)=Xout(i)+Err(i)
end do
end subroutine ComputeXsecWithStatErr
!!! compute scle-variation error
subroutine ComputeXsecWithScaleErr(qTmin_in,qTmax_in,XOut,XminusOut,XplusOut)
real*8,intent(in)::qTmin_in(:),qTmax_in(:)
real*8,allocatable,intent(out)::XOut(:),XminusOut(:),XplusOut(:)
real*8,allocatable::X(:),X1(:),X2(:),X3(:),X4(:)
integer::l,i,j
l=size(qTmin_in)
allocate(XOut(1:l))
allocate(XminusOut(1:l))
allocate(XplusOut(1:l))
allocate(X(1:l))
allocate(X1(1:l))
allocate(X2(1:l))
allocate(X3(1:l))
allocate(X4(1:l))
call artemide_SetScaleVariations(1d0,1d0,1d0,1d0)
call CalcXsec_DY_PTint_Qint_Yint(X,qTmin_in,qTmax_in,Qmin,Qmax,yMin,yMax)
r=2d0
call artemide_SetScaleVariations(1d0,1d0/r,1d0,1d0)
call CalcXsec_DY_PTint_Qint_Yint(X1,qTmin_in,qTmax_in,Qmin,Qmax,yMin,yMax)
call artemide_SetScaleVariations(1d0,1d0*r,1d0,1d0)
call CalcXsec_DY_PTint_Qint_Yint(X2,qTmin_in,qTmax_in,Qmin,Qmax,yMin,yMax)
call artemide_SetScaleVariations(1d0,1d0,1d0,1d0/r)
call CalcXsec_DY_PTint_Qint_Yint(X3,qTmin_in,qTmax_in,Qmin,Qmax,yMin,yMax)
call artemide_SetScaleVariations(1d0,1d0,1d0,1d0*r)
call CalcXsec_DY_PTint_Qint_Yint(X4,qTmin_in,qTmax_in,Qmin,Qmax,yMin,yMax)
do i=1,l
Xout(i)=X(i)
XminusOut(i)=min(X(i),X1(i),X2(i),X3(i),X4(i))
XplusOut(i)=max(X(i),X1(i),X2(i),X3(i),X4(i))
end do
end subroutine ComputeXsecWithScaleErr
end program example | 4,577 | 27.259259 | 119 | f90 |
artemide-public | artemide-public-master/Prog/SV19_programs/RAD_plot.f90 | program example
use aTMDe_control
use TMDR
implicit none
character(*),parameter::prefix='/home/vla18041/LinkData2/arTeMiDe_Repository/artemide/Models/SV19/'
character(*),parameter::repFILE=prefix//'Replicas/DY+SIDIS/DY+SIDIS_NNPDF31+DSS_nnlo.rep'
character(*),parameter::constFILE=prefix//'constants-files/DY+SIDIS_nnlo/const-DY+SIDIS_NNPDF31+DSS_nnlo'
real*8,allocatable::NParray(:)
integer::numR,numB,i,j
real*8,allocatable::central(:),mean(:),deviation(:),b(:)
real*8::bMax,step,mu,dd
call artemide_Initialize(constFILE)
numR=artemide_NumOfReplicasInFile(repFILE)
call artemide_GetReplicaFromFile(repFILE,0,NParray)
call artemide_SetNPparameters_TMDR(NParray(1:2))
numB=40
bMax=5d0
!mu=91d0
mu=2.39d0
allocate(b(1:numB))
do i=1,20
b(i)=0.005d0+i/20d0
end do
do i=21,numB
b(i)=bMax+(bMax-1d0)*(i-numB)/(numB-20)
end do
allocate(central(1:numB))
allocate(mean(1:numB))
allocate(deviation(1:numB))
do i=1,numB
central(i)=DNP(mu, b(i),1)
mean(i)=0d0
deviation=0d0
end do
do j=1,numR
call artemide_GetReplicaFromFile(repFILE,j,NParray)
call artemide_SetNPparameters_TMDR(NParray(1:2))
do i=1,numB
dd=DNP(mu, b(i),1)
mean(i)=mean(i)+dd
deviation(i)=deviation(i)+dd**2
end do
end do
do i=1,numB
mean(i)=mean(i)/numR
deviation(i)=Sqrt(deviation(i)/numR-mean(i)**2)
end do
do i=1,numB
write(*,"('{',F10.7,',',F10.7,',',F10.7,',',F10.7,'},')") b(i),central(i),mean(i)-deviation(i),mean(i)+deviation(i)
end do
!
end program example
| 1,486 | 19.943662 | 117 | f90 |
artemide-public | artemide-public-master/Prog/SV19_programs/SIDIS_smooth-plot.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!Program makes a smooth plot at given s,Q,x,z, in qT (no bin-integrations)
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
program example
use aTMDe_control
use TMDX_SIDIS
implicit none
integer,dimension(1:3)::proc
real*8::x,z,Q,s
real*8::stepqT,maxqT
integer::i,maxI
real*8,allocatable::Xsec(:),qT(:)
call artemide_Initialize('const-SIDIS_LO',prefix='/home/vla18041/LinkData2/arTeMiDe_Repository/Constants-files/')
call artemide_SetNPparameters_TMDR((/1.86041d0, 0.029551d0/))
call artemide_SetNPparameters_uTMDPDF((/0.253434d0, 9.04351d0, 346.999d0, 2.47992d0, -5.69988d0, 0.d0, 0.d0/))
call artemide_SetNPparameters_uTMDFF((/0.264d0,0.479d0,0.459d0,0.539d0/))
proc=(/1,1,2001/) !!!! p->pi+ SIDIS
s=300d0
Q=4d0
x=0.1d0
z=0.4d0
call TMDX_SIDIS_setProcess(proc)
call TMDX_SIDIS_XSetup(s,z,x,Q,0.938d0,0.d0)
call TMDX_SIDIS_SetCuts(.false.,0d0,-10d0,10d0,0d0)!!! no cuts
maxqT=0.4d0*Q*z
stepqT=maxqT/25d0
maxI=Int(maxqT/stepqT)
allocate(qT(1:maxI))
allocate(Xsec(1:maxI))
do i=1,maxI
qT(i)=stepqT*i
end do
call CalcXsec_SIDIS(Xsec,qT)
do i=1,maxI
write(*,'("{",F6.3,",",F12.8,"},")') qT(i),Xsec(i)/1000d0
!write(*,*) qT(i),X(i)
end do
end program example | 1,272 | 24.46 | 113 | f90 |
artemide-public | artemide-public-master/Prog/SV19_programs/uTMDFF_plot_3D.f90 | program example
use aTMDe_control
use uTMDFF
implicit none
character(*),parameter::prefix='/home/vla18041/LinkData2/arTeMiDe_Repository/artemide/Models/SV19/'
character(*),parameter::repFILE=prefix//'Replicas/DY+SIDIS/DY+SIDIS_NNPDF31+DSS_nnlo.rep'
character(*),parameter::constFILE=prefix//'constants-files/DY+SIDIS_nnlo/const-DY+SIDIS_NNPDF31+DSS_nnlo'
real*8,allocatable::NParray(:)
integer::numR,numB,i,j
real*8,allocatable::central(:),mean(:),deviation(:),b(:)
real*8::bMax,step,mu,dd,x,TMD(-5:5)
integer::f,k
real*8,parameter::xValues(1:13)=(/&
0.8d0,0.75d0,0.7d0,0.65d0,&
0.6d0,0.55d0,0.5d0,0.45d0,0.4d0,0.35d0,0.3d0,0.25d0,0.2d0/)
call artemide_Initialize(constFILE)
numR=artemide_NumOfReplicasInFile(repFILE)
call artemide_GetReplicaFromFile(repFILE,0,NParray)
call uTMDFF_SetLambdaNP(NParray(10:13),.false.,.false.)
f=2
numB=50
bMax=7d0
mu=4d0
allocate(b(1:numB))
do i=1,20
b(i)=0.005d0+i/20d0
end do
do i=21,numB
b(i)=bMax+(bMax-1d0)*(i-numB)/(numB-20)
end do
allocate(central(1:numB))
allocate(mean(1:numB))
allocate(deviation(1:numB))
do k=1,size(xValues)
x=xValues(k)
do i=1,numB
TMD=uTMDFF_lowScale5(x,b(i),1)
central(i)=TMD(f)
mean(i)=0d0
deviation=0d0
end do
do j=1,numR
call artemide_GetReplicaFromFile(repFILE,j,NParray)
call uTMDFF_SetLambdaNP(NParray(10:13),.false.,.false.)
do i=1,numB
TMD=uTMDFF_lowScale5(x,b(i),1)
mean(i)=mean(i)+TMD(f)
deviation(i)=deviation(i)+TMD(f)**2
end do
end do
do i=1,numB
mean(i)=mean(i)/numR
deviation(i)=Sqrt(deviation(i)/numR-mean(i)**2)
end do
do i=1,numB
write(*,"('{'F10.7,',',F10.7,',',F10.7,',',F10.7,',',F10.7,'},')") x,b(i),x*x*x*mean(i),&
x*x*x*(mean(i)-deviation(i)),x*x*x*(mean(i)+deviation(i))
end do
end do
end program example | 1,803 | 21.835443 | 105 | f90 |
artemide-public | artemide-public-master/Prog/SV19_programs/uTMDPDF_plot_3D.f90 | program example
use aTMDe_control
use uTMDPDF
implicit none
character(*),parameter::prefix='/home/vla18041/LinkData2/arTeMiDe_Repository/artemide/Models/SV19/'
character(*),parameter::repFILE=prefix//'Replicas/DY+SIDIS/DY+SIDIS_NNPDF31+DSS_nnlo.rep'
character(*),parameter::constFILE=prefix//'constants-files/DY+SIDIS_nnlo/const-DY+SIDIS_NNPDF31+DSS_nnlo'
real*8,allocatable::NParray(:)
integer::numR,numB,i,j
real*8,allocatable::central(:),mean(:),deviation(:),b(:)
real*8::bMax,step,mu,dd,x,TMD(-5:5)
integer::f,k
!real*8,parameter::xValues(1:7)=(/.99d0,10d0**(-0.5d0),10d0**(-1d0),10d0**(-1.5d0),10d0**(-2d0),10d0**(-2.5d0),10d0**(-3d0)/)
real*8,parameter::xValues(1:13)=(/&
0.99d0,10d0**(-0.25d0),10d0**(-0.5d0),10d0**(-0.75d0),&
10d0**(-1d0),10d0**(-1.25d0),10d0**(-1.5d0),10d0**(-1.75d0),&
10d0**(-2d0),10d0**(-2.25d0),10d0**(-2.5d0),10d0**(-2.75d0),10d0**(-3d0)/)
call artemide_Initialize(constFILE)
numR=artemide_NumOfReplicasInFile(repFILE)
call artemide_GetReplicaFromFile(repFILE,0,NParray)
call uTMDPDF_SetLambdaNP(NParray(3:9),.false.,.false.)
f=3
numB=40
bMax=3d0
mu=4d0
allocate(b(1:numB))
do i=1,20
b(i)=0.005d0+i/20d0
end do
do i=21,numB
b(i)=bMax+(bMax-1d0)*(i-numB)/(numB-20)
end do
allocate(central(1:numB))
allocate(mean(1:numB))
allocate(deviation(1:numB))
do k=1,size(xValues)
x=xValues(k)
do i=1,numB
TMD=uTMDPDF_lowScale5(x,b(i),1)
central(i)=TMD(f)
mean(i)=0d0
deviation=0d0
end do
do j=1,numR
call artemide_GetReplicaFromFile(repFILE,j,NParray)
call uTMDPDF_SetLambdaNP(NParray(3:9),.false.,.false.)
do i=1,numB
TMD=uTMDPDF_lowScale5(x,b(i),1)
mean(i)=mean(i)+TMD(f)
deviation(i)=deviation(i)+TMD(f)**2
end do
end do
do i=1,numB
mean(i)=mean(i)/numR
deviation(i)=Sqrt(deviation(i)/numR-mean(i)**2)
end do
do i=1,numB
write(*,"('{'F10.7,',',F10.7,',',F10.7,',',F10.7,',',F10.7,'},')") x,b(i),x*mean(i),&
x*(mean(i)-deviation(i)),x*(mean(i)+deviation(i))
end do
end do
end program example | 2,025 | 23.409639 | 125 | f90 |
artemide-public | artemide-public-master/Prog/Tests/IntegrationRoutines_test.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!Program makes a smooth plot at givem s,Q,y, in qT (no bin-integrations)
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
program example
use IntegrationRoutines
implicit none
real*8:: re, r1,r2,r3,r4,r5,r6,r7,r8
write(*,*) '-------------------------------------------------------------------'
write(*,*) '--- Test of the IntegrationRoutines submodule ---'
write(*,*) '-------------------------------------------------------------------'
write(*,*) ' '
write(*,*) '| Exact | S5 | SN(n=10) | SN(n=100) |',&
' SA(eps=0.1) | SA(eps=0.001) | G7 | K15 | GK (eps=0.001) |'
write(*,*) '| | | | |',&
' | |'
write(*,*) '1) (0.5+x)^3 [-1,1] - - - - - - - - - - - - - - - -',&
' - - - - - - - - - - - - - - - - - - - - - - - - - - - -|'
re=5d0/4d0
r1=Integrate_S5(f1,-1d0,1d0)
r2=Integrate_SN(f1,-1d0,1d0,10)
r3=Integrate_SN(f1,-1d0,1d0,100)
r4=Integrate_SA(f1,-1d0,1d0,0.1d0)
r5=Integrate_SA(f1,-1d0,1d0,0.001d0)
r6=Integrate_G7(f1,-1d0,1d0)
r7=Integrate_K15(f1,-1d0,1d0)
r8=Integrate_GK(f1,-1d0,1d0,0.001d0)
write(*,'(" | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | "&
,F14.10," | ")')&
re,r1,r2,r3,r4,r5,r6,r7,r8
write(*,'(" | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | "&
,F14.10," | ")')&
1d0,r1/re,r2/re,r3/re,r4/re,r5/re,r6/re,r7/re,r8/re
write(*,*) '| | | | |',&
' | | | |'
write(*,*) '2) f= (0.5+x)^6 [-1,1] - - - - - - - - - - - - - - -',&
' - - - - - - - - - - - - - - - - - - - - - - - - - - - -|'
re=547d0/224d0
r1=Integrate_S5(f2,-1d0,1d0)
r2=Integrate_SN(f2,-1d0,1d0,10)
r3=Integrate_SN(f2,-1d0,1d0,100)
r4=Integrate_SA(f2,-1d0,1d0,0.1d0)
r5=Integrate_SA(f2,-1d0,1d0,0.001d0)
r6=Integrate_G7(f2,-1d0,1d0)
r7=Integrate_K15(f2,-1d0,1d0)
r8=Integrate_GK(f2,-1d0,1d0,0.001d0)
write(*,'(" | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | "&
,F14.10," | ")')&
re,r1,r2,r3,r4,r5,r6,r7,r8
write(*,'(" | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | "&
,F14.10," | ")')&
1d0,r1/re,r2/re,r3/re,r4/re,r5/re,r6/re,r7/re,r8/re
write(*,*) '| | | | |',&
' | | | |'
write(*,*) '3) f= sqrt(1+x^2) [-1,1] - - - - - - - - - - - - - -',&
' - - - - - - - - - - - - - - - - - - - - - - - - - - - -|'
re=1.5707963267948966d0
r1=Integrate_S5(f3,-1d0,1d0)
r2=Integrate_SN(f3,-1d0,1d0,10)
r3=Integrate_SN(f3,-1d0,1d0,100)
r4=Integrate_SA(f3,-1d0,1d0,0.1d0)
r5=Integrate_SA(f3,-1d0,1d0,0.001d0)
r6=Integrate_G7(f3,-1d0,1d0)
r7=Integrate_K15(f3,-1d0,1d0)
r8=Integrate_GK(f3,-1d0,1d0,0.001d0)
write(*,'(" | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | "&
,F14.10," | ")')&
re,r1,r2,r3,r4,r5,r6,r7,r8
write(*,'(" | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | "&
,F14.10," | ")')&
1d0,r1/re,r2/re,r3/re,r4/re,r5/re,r6/re,r7/re,r8/re
write(*,*) '| | | | |',&
' | | | |'
write(*,*) '4) f= Exp(-5 x^2) [-1,1] - - - - - - - - - - - - - -',&
' - - - - - - - - - - - - - - - - - - - - - - - - - - - -|'
re=0.791424619221027d0
r1=Integrate_S5(f4,-1d0,1d0)
r2=Integrate_SN(f4,-1d0,1d0,10)
r3=Integrate_SN(f4,-1d0,1d0,100)
r4=Integrate_SA(f4,-1d0,1d0,0.1d0)
r5=Integrate_SA(f4,-1d0,1d0,0.001d0)
r6=Integrate_G7(f4,-1d0,1d0)
r7=Integrate_K15(f4,-1d0,1d0)
r8=Integrate_GK(f4,-1d0,1d0,0.001d0)
write(*,'(" | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | "&
,F14.10," | ")')&
re,r1,r2,r3,r4,r5,r6,r7,r8
write(*,'(" | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | "&
,F14.10," | ")')&
1d0,r1/re,r2/re,r3/re,r4/re,r5/re,r6/re,r7/re,r8/re
write(*,*) '| | | | |',&
' | | | |'
write(*,*) '5) f= (0.5+x)^2 Exp(-5 x^2) [-1,1] - - - - - - - - - - -',&
' - - - - - - - - - - - - - - - - - - - - - - - - - - - -|'
re=0.2756510273275424d0
r1=Integrate_S5(f5,-1d0,1d0)
r2=Integrate_SN(f5,-1d0,1d0,10)
r3=Integrate_SN(f5,-1d0,1d0,100)
r4=Integrate_SA(f5,-1d0,1d0,0.1d0)
r5=Integrate_SA(f5,-1d0,1d0,0.001d0)
r6=Integrate_G7(f5,-1d0,1d0)
r7=Integrate_K15(f5,-1d0,1d0)
r8=Integrate_GK(f5,-1d0,1d0,0.001d0)
write(*,'(" | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | "&
,F14.10," | ")')&
re,r1,r2,r3,r4,r5,r6,r7,r8
write(*,'(" | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | "&
,F14.10," | ")')&
1d0,r1/re,r2/re,r3/re,r4/re,r5/re,r6/re,r7/re,r8/re
write(*,*) '| | | | |',&
' | | | |'
write(*,*) '6) f= sin(x)+0.5 Cos(4 x)+0.1 Cos(8x) [-3.5,3.5] - - - - - -',&
' - - - - - - - - - - - - - - - - - - - - - - - - - - - -|'
re=0.2544244836314143d0
r1=Integrate_S5(f6,-3.5d0,3.5d0)
r2=Integrate_SN(f6,-3.5d0,3.5d0,10)
r3=Integrate_SN(f6,-3.5d0,3.5d0,100)
r4=Integrate_SA(f6,-3.5d0,3.5d0,0.1d0)
r5=Integrate_SA(f6,-3.5d0,3.5d0,0.001d0)
r6=Integrate_G7(f6,-3.5d0,3.5d0)
r7=Integrate_K15(f6,-3.5d0,3.5d0)
r8=Integrate_GK(f6,-3.5d0,3.5d0,0.001d0)
write(*,'(" | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | "&
,F14.10," | ")')&
re,r1,r2,r3,r4,r5,r6,r7,r8
write(*,'(" | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | ",F14.10," | "&
,F14.10," | ")')&
1d0,r1/re,r2/re,r3/re,r4/re,r5/re,r6/re,r7/re,r8/re
write(*,*) '-----------------------------------------------------------------------',&
'-----------------------------------------------------------------------------------'
contains
!!! x^3 Polynomial function
function f1(x)
real*8::f1,x
f1=(0.5d0+x)**3
end function f1
!!! x^6 Polynomial function
function f2(x)
real*8::f2,x
f2=(0.5d0+x)**6
end function f2
!!! Squre root
function f3(x)
real*8::f3,x
f3=Sqrt(1d0-x**2)
end function f3
!!! Gauss
function f4(x)
real*8::f4,x
f4=Exp(-5d0*x**2)
end function f4
!!! Gauss
function f5(x)
real*8::f5,x
f5=(0.5d0+x)**2*Exp(-5d0*x**2)
end function f5
!!! Ugly
function f6(x)
real*8::f6,x
f6=Sin(x)+0.5d0*Cos(4d0*x)+0.1d0*Cos(8d0*x)
end function f6
end program example
| 7,378 | 36.647959 | 120 | f90 |
artemide-public | artemide-public-master/Prog/Tests/TMDs-inKT_test.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!Program runs the test functions of TMDs_inKT and compare to exact values
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
program example
use aTMDe_Numerics
use aTMDe_control
use TMDs_inKT
implicit none
integer::i,iMax
real*8::qTMax,qTStep
real*8::qT(1:45)
real*8::TT(-5:5)
real*8::ff(-5:5),x
call artemide_Initialize('const-TMD-inKT',prefix='Prog/Tests/const-files/')
! call artemide_Initialize('const-DY_LO',prefix='/home/alexey/artemide_Repository/Constants-files/')!
call artemide_SetNPparameters_TMDR((/1.86041d0, 0.029551d0/))
call artemide_SetNPparameters_uTMDPDF((/0.253434d0, 9.04351d0, 346.999d0, 2.47992d0, -5.69988d0, 0.d0, 0.d0/))
x=0.1d0
iMax=45
qt=(/0.001d0,0.005d0,0.01d0,0.025d0,0.05d0,0.1d0,0.25d0,0.5d0,0.75d0,1d0,&
1.5d0,2d0,3d0,4d0,5d0,6d0,7d0,8d0,9d0,10d0,&
12d0,14d0,16d0,18d0,20d0,23d0,26d0,29d0,32d0,35d0,38d0,41d0,45d0,49d0,&
53d0,57d0,61d0,65d0,70d0,75d0,80d0,85d0,90d0,95d0,100d0/)
write(*,*) '-----------------------------------------------------------------------------------------'
write(*,*) '--------------------Test program for TMDs_inKT-------------------------------------------'
write(*,*) '--------------------Evaluates Fourier integrals and compare to exact values--------------'
write(*,*) '--------------------Shows ratios of test/exact ------------------------------------------'
write(*,*) '-----------------------------------------------------------------------------------------'
write(*,*) '------------------ Exponential functions --(ratio)-----------------'
do i=1,iMax
TT=testTMD_kT(x,qT(i))
ff(-5)=3d0/pix2*(3d0*qt(i)**4-24d0*qt(i)**2*x**2+8d0*x**4)/(qT(i)**2d0+x**2)**(4.5d0)
ff(-4)=3d0*x/pix2*(2d0*x**2-3d0*qt(i)**2)/(qT(i)**2d0+x**2)**(3.5d0)
ff(-3)=1d0/pix2*(2d0*x**2-qt(i)**2)/(qT(i)**2d0+x**2)**(2.5d0)
ff(-2)=x/pix2/(qT(i)**2d0+x**2)**(1.5d0)
write(*,*) qT(i),TT(-5)/ff(-5),TT(-4)/ff(-4),TT(-3)/ff(-3),TT(-2)/ff(-2)
call TMDs_inKT_ResetCounters()
end do
write(*,*) '------------------ Gaussian functions --(difference is show, since gauss decay too fast)----'
do i=1,15
TT=testTMD_kT(x,qT(i))
ff(2)=(4d0*x-qt(i)**2)/(16d0*pi*x**3)*exp(-qt(i)**2/(4d0*x))
ff(3)=(1d0)/(4d0*pi*x)*exp(-qt(i)**2/(4d0*x))
write(*,*) qT(i),TT(2)-ff(2),TT(3)-ff(3)
call TMDs_inKT_ResetCounters()
end do
write(*,*) '------------------ (oscilating+Weakly decaying) and (Weakly decaying) --(ratio)-------------'
do i=1,iMax
TT=testTMD_kT(x,qT(i))
ff(4)=Bessel_J0(2*sqrt(qt(i)*x))/(pix2*qt(i))
ff(5)=1/(pix2*qt(i))
write(*,*) qT(i),TT(4)/ff(4),TT(5)/ff(5)
call TMDs_inKT_ResetCounters()
end do
! x=0.01d0
! do i=1,iMax
!
! TT=uTMDPDF_kT_5(x,qT(i),1)
! write(*,*) "{",qT(i),",", TT(1),"},"
! end do
end program example
| 2,855 | 34.7 | 110 | f90 |
artemide-public | artemide-public-master/Prog/Tests/uTMDPDF_test.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!Program makes a smooth plot at givem s,Q,y, in qT (no bin-integrations)
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
program example
use aTMDe_control
use uTMDPDF
implicit none
integer::i,iMax
real*8::bMax,bStep,x
real*8,allocatable::b(:)
real*8::TT(-5:5)
call artemide_Initialize('const-uTMDPDF',prefix='Prog/Tests/const-files/')
! call artemide_Initialize('const-DY_LO',prefix='/home/alexey/artemide_Repository/Constants-files/')!
call artemide_SetNPparameters_uTMDPDF((/0.253434d0, 9.04351d0, 346.999d0, 2.47992d0, -5.69988d0, 0.d0, 0.d0/))
x=0.1
bMax=50d0
bStep=0.1d0
iMax=int(bMax/bStep)
allocate(b(1:iMax))
do i=1,iMax
b(i)=bStep*i
end do
do i=1,iMax
TT=uTMDPDF_lowScale5(x,b(i),1)
write(*,*) "{",b(i),",", TT(1),"},"
end do
end program example
| 877 | 21.512821 | 110 | f90 |
artemide-public | artemide-public-master/harpy/__init__.py | 0 | 0 | 0 | py |
|
artemide-public | artemide-public-master/harpy/harpy.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! harpy
!
! An interface for artemide
!
! A.Vladimirov (13.01.2019)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module harpy
use TMDs
use TMDs_inKT
use TMDX_DY
use TMDX_SIDIS
use aTMDe_control
use uTMDPDF
use uTMDFF
use lpTMDPDF
use wgtTMDPDF
use TMDR_model
use TMDR
!!! this flag is requared to guaranty that artemide is not started twice (it lead to the crush)
logical::started=.false.
contains
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!GENERAL
subroutine Initialize(file)
character(len=*)::file
if(started) then
write(*,*) 'artemide already runs'
else
call artemide_Initialize(file)
started=.true.
end if
end subroutine Initialize
subroutine ShowStatistics()
call artemide_ShowStatistics()
end subroutine ShowStatistics
!! call for parameters from the model
subroutine SetReplica_TMDR(num)
integer:: num
call artemide_SetReplica_TMDR(num)
end subroutine SetReplica_TMDR
!!
subroutine SetReplica_uTMDPDF(num)
integer:: num
call artemide_SetReplica_uTMDPDF(num)
end subroutine SetReplica_uTMDPDF
!!
subroutine SetReplica_uTMDFF(num)
integer:: num
call artemide_SetReplica_uTMDFF(num)
end subroutine SetReplica_uTMDFF
!!
subroutine SetReplica_lpTMDPDF(num)
integer:: num
call artemide_SetReplica_lpTMDPDF(num)
end subroutine SetReplica_lpTMDPDF
!!
subroutine SetReplica_SiversTMDPDF(num)
integer:: num
call artemide_SetReplica_SiversTMDPDF(num)
end subroutine SetReplica_SiversTMDPDF
!!
subroutine SetReplica_wgtTMDPDF(num)
integer:: num
call artemide_SetReplica_wgtTMDPDF(num)
end subroutine SetReplica_wgtTMDPDF
!!!Sets the non-pertrubative parameters lambda
subroutine SetLambda_Main(lambdaIN)
real*8,intent(in)::lambdaIN(:)
call artemide_SetNPparameters(lambdaIN)
end subroutine SetLambda_Main
!!!Sets the non-pertrubative parameters lambda
subroutine SetLambda_TMDR(lambdaIN)
real*8,intent(in)::lambdaIN(:)
call artemide_SetNPparameters_TMDR(lambdaIN)
end subroutine SetLambda_TMDR
!!!Sets the non-pertrubative parameters lambda
subroutine SetLambda_uTMDPDF(lambdaIN)
real*8,intent(in)::lambdaIN(:)
call artemide_SetNPparameters_uTMDPDF(lambdaIN)
end subroutine SetLambda_uTMDPDF
!!!Sets the non-pertrubative parameters lambda
subroutine SetLambda_uTMDFF(lambdaIN)
real*8,intent(in)::lambdaIN(:)
call artemide_SetNPparameters_uTMDFF(lambdaIN)
end subroutine SetLambda_uTMDFF
!!!Sets the non-pertrubative parameters lambda
subroutine SetLambda_lpTMDPDF(lambdaIN)
real*8,intent(in)::lambdaIN(:)
call artemide_SetNPparameters_lpTMDPDF(lambdaIN)
end subroutine SetLambda_lpTMDPDF
!!!Sets the non-pertrubative parameters lambda
subroutine SetLambda_SiversTMDPDF(lambdaIN)
real*8,intent(in)::lambdaIN(:)
call artemide_SetNPparameters_SiversTMDPDF(lambdaIN)
end subroutine SetLambda_SiversTMDPDF
!!!Sets the non-pertrubative parameters lambda
subroutine SetLambda_wgtTMDPDF(lambdaIN)
real*8,intent(in)::lambdaIN(:)
call artemide_SetNPparameters_wgtTMDPDF(lambdaIN)
end subroutine SetLambda_wgtTMDPDF
!!!! this routine set the variations of scales
!!!! it is used for the estimation of errors
subroutine SetScaleVariation(c1_in,c2_in,c3_in,c4_in)
real*8::c1_in,c2_in,c3_in,c4_in
call artemide_SetScaleVariations(c1_in,c2_in,c3_in,c4_in)
end subroutine SetScaleVariation
!! reset the number for PDF replica for uTMDPDF
subroutine SetPDFreplica(rep,hadron)
integer::rep,hadron
call uTMDPDF_SetPDFreplica(rep,hadron)
end subroutine SetPDFreplica
!! reset the number for PDF replica for uTMDFF
subroutine SetFFreplica(rep,hadron)
integer::rep,hadron
call uTMDFF_SetFFreplica(rep,hadron)
end subroutine SetFFreplica
!! reset the number for PDF replica for lpTMDPDF
subroutine SetlpPDFreplica(rep,hadron)
integer::rep,hadron
call lpTMDPDF_SetPDFreplica(rep,hadron)
end subroutine SetlpPDFreplica
!! reset the number for PDF replica for wgtTMDPDF
subroutine SetwgtPDFreplica(rep,hadron)
integer::rep,hadron
call wgtTMDPDF_SetPDFreplica(rep,hadron)
end subroutine SetwgtPDFreplica
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!! DNP
function getDNP(b,mu,f)
real*8::getDNP
real*8::b,mu
integer::f
getDNP=DNP(mu,b,f)
end function getDNP
!!!!! optimal R
function getR(b,mu,zeta,f)
real*8::TMDR_Rzeta
real*8::b,mu,zeta
integer::f
getR=TMDR_Rzeta_harpy(b,mu,zeta,f)
end function getR
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!uTMDPDF
!!!!!!!! upolarized TMDPDF
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function uTMDPDF_5_Evolved(x,bt,muf,zetaf,hadron)
real*8:: uTMDPDF_5_Evolved(-5:5)
real*8:: x,bt,muf,zetaf
integer::hadron
uTMDPDF_5_Evolved=uTMDPDF_5(x,bt,muf,zetaf,hadron)
end function uTMDPDF_5_Evolved
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function uTMDPDF_50_Evolved(x,bt,muf,zetaf,hadron)
real*8:: uTMDPDF_50_Evolved(-5:5)
real*8:: x,bt,muf,zetaf
integer::hadron
uTMDPDF_50_Evolved=uTMDPDF_50(x,bt,muf,zetaf,hadron)
end function uTMDPDF_50_Evolved
!!!!!!!! upolarized TMDPDF
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function uTMDPDF_5_Optimal(x,bt,hadron)
real*8:: uTMDPDF_5_Optimal(-5:5)
real*8:: x,bt
integer::hadron
uTMDPDF_5_Optimal=uTMDPDF_5(x,bt,hadron)
end function uTMDPDF_5_Optimal
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function uTMDPDF_50_Optimal(x,bt,hadron)
real*8:: uTMDPDF_50_Optimal(-5:5)
real*8:: x,bt
integer::hadron
uTMDPDF_50_Optimal=uTMDPDF_50(x,bt,hadron)
end function uTMDPDF_50_Optimal
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!uTMDFF
!!!!!!!! upolarized TMDFF
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function uTMDFF_5_Evolved(x,bt,muf,zetaf,hadron)
real*8:: uTMDFF_5_Evolved(-5:5)
real*8:: x,bt,muf,zetaf
integer::hadron
uTMDFF_5_Evolved=uTMDFF_5(x,bt,muf,zetaf,hadron)
end function uTMDFF_5_Evolved
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function uTMDFF_50_Evolved(x,bt,muf,zetaf,hadron)
real*8:: uTMDFF_50_Evolved(-5:5)
real*8:: x,bt,muf,zetaf
integer::hadron
uTMDFF_50_Evolved=uTMDFF_50(x,bt,muf,zetaf,hadron)
end function uTMDFF_50_Evolved
!!!!!!!! upolarized TMDFF
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function uTMDFF_5_Optimal(x,bt,hadron)
real*8:: uTMDFF_5_Optimal(-5:5)
real*8:: x,bt
integer::hadron
uTMDFF_5_Optimal=uTMDFF_5(x,bt,hadron)
end function uTMDFF_5_Optimal
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function uTMDFF_50_Optimal(x,bt,hadron)
real*8:: uTMDFF_50_Optimal(-5:5)
real*8:: x,bt
integer::hadron
uTMDFF_50_Optimal=uTMDFF_50(x,bt,hadron)
end function uTMDFF_50_Optimal
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!SiversTMDPDF
!!!!!!!! Sivers TMDFF
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function SiversTMDPDF_5_Evolved(x,bt,muf,zetaf,hadron)
real*8:: SiversTMDPDF_5_Evolved(-5:5)
real*8:: x,bt,muf,zetaf
integer::hadron
SiversTMDPDF_5_Evolved=SiversTMDPDF_5(x,bt,muf,zetaf,hadron)
end function SiversTMDPDF_5_Evolved
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function SiversTMDPDF_50_Evolved(x,bt,muf,zetaf,hadron)
real*8:: SiversTMDPDF_50_Evolved(-5:5)
real*8:: x,bt,muf,zetaf
integer::hadron
SiversTMDPDF_50_Evolved=SiversTMDPDF_50(x,bt,muf,zetaf,hadron)
end function SiversTMDPDF_50_Evolved
!!!!!!!! Sivers TMDPDF
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function SiversTMDPDF_5_Optimal(x,bt,hadron)
real*8:: SiversTMDPDF_5_Optimal(-5:5)
real*8:: x,bt
integer::hadron
SiversTMDPDF_5_Optimal=SiversTMDPDF_5(x,bt,hadron)
end function SiversTMDPDF_5_Optimal
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function SiversTMDPDF_50_Optimal(x,bt,hadron)
real*8:: SiversTMDPDF_50_Optimal(-5:5)
real*8:: x,bt
integer::hadron
SiversTMDPDF_50_Optimal=SiversTMDPDF_50(x,bt,hadron)
end function SiversTMDPDF_50_Optimal
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!lpTMDPDF
!!!!!!!! linearly polarized TMDFF
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function lpTMDPDF_50_Evolved(x,bt,muf,zetaf,hadron)
real*8:: lpTMDPDF_50_Evolved(-5:5)
real*8:: x,bt,muf,zetaf
integer::hadron
lpTMDPDF_50_Evolved=lpTMDPDF_50(x,bt,muf,zetaf,hadron)
end function lpTMDPDF_50_Evolved
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function lpTMDPDF_50_Optimal(x,bt,hadron)
real*8:: lpTMDPDF_50_Optimal(-5:5)
real*8:: x,bt
integer::hadron
lpTMDPDF_50_Optimal=lpTMDPDF_50(x,bt,hadron)
end function lpTMDPDF_50_Optimal
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!wgtTMDPDF
!!!!!!!! wgt TMDFF
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function wgtTMDPDF_5_Evolved(x,bt,muf,zetaf,hadron)
real*8:: wgtTMDPDF_5_Evolved(-5:5)
real*8:: x,bt,muf,zetaf
integer::hadron
wgtTMDPDF_5_Evolved=wgtTMDPDF_5(x,bt,muf,zetaf,hadron)
end function wgtTMDPDF_5_Evolved
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function wgtTMDPDF_50_Evolved(x,bt,muf,zetaf,hadron)
real*8:: wgtTMDPDF_50_Evolved(-5:5)
real*8:: x,bt,muf,zetaf
integer::hadron
wgtTMDPDF_50_Evolved=wgtTMDPDF_50(x,bt,muf,zetaf,hadron)
end function wgtTMDPDF_50_Evolved
!!!!!!!! wgt TMDPDF
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function wgtTMDPDF_5_Optimal(x,bt,hadron)
real*8:: wgtTMDPDF_5_Optimal(-5:5)
real*8:: x,bt
integer::hadron
wgtTMDPDF_5_Optimal=wgtTMDPDF_5(x,bt,hadron)
end function wgtTMDPDF_5_Optimal
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function wgtTMDPDF_50_Optimal(x,bt,hadron)
real*8:: wgtTMDPDF_50_Optimal(-5:5)
real*8:: x,bt
integer::hadron
wgtTMDPDF_50_Optimal=wgtTMDPDF_50(x,bt,hadron)
end function wgtTMDPDF_50_Optimal
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! TMDs IN KT
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!! upolarized TMDPDF
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function uTMDPDF_kT_5_Evolved(x,bt,muf,zetaf,hadron)
real*8:: uTMDPDF_kT_5_Evolved(-5:5)
real*8:: x,bt,muf,zetaf
integer::hadron
uTMDPDF_kT_5_Evolved=uTMDPDF_kT_5(x,bt,muf,zetaf,hadron)
end function uTMDPDF_kT_5_Evolved
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function uTMDPDF_kT_50_Evolved(x,bt,muf,zetaf,hadron)
real*8:: uTMDPDF_kT_50_Evolved(-5:5)
real*8:: x,bt,muf,zetaf
integer::hadron
uTMDPDF_kT_50_Evolved=uTMDPDF_kT_5(x,bt,muf,zetaf,hadron)
end function uTMDPDF_kT_50_Evolved
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function uTMDPDF_kT_5_Optimal(x,bt,hadron)
real*8:: uTMDPDF_kT_5_Optimal(-5:5)
real*8:: x,bt
integer::hadron
uTMDPDF_kT_5_Optimal=uTMDPDF_kT_5(x,bt,hadron)
end function uTMDPDF_kT_5_Optimal
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function uTMDPDF_kT_50_Optimal(x,bt,hadron)
real*8:: uTMDPDF_kT_50_Optimal(-5:5)
real*8:: x,bt
integer::hadron
uTMDPDF_kT_50_Optimal=uTMDPDF_kT_5(x,bt,hadron)
end function uTMDPDF_kT_50_Optimal
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!! upolarized TMDFF
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function uTMDFF_kT_5_Evolved(x,bt,muf,zetaf,hadron)
real*8:: uTMDFF_kT_5_Evolved(-5:5)
real*8:: x,bt,muf,zetaf
integer::hadron
uTMDFF_kT_5_Evolved=uTMDFF_kT_5(x,bt,muf,zetaf,hadron)
end function uTMDFF_kT_5_Evolved
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function uTMDFF_kT_50_Evolved(x,bt,muf,zetaf,hadron)
real*8:: uTMDFF_kT_50_Evolved(-5:5)
real*8:: x,bt,muf,zetaf
integer::hadron
uTMDFF_kT_50_Evolved=uTMDFF_kT_5(x,bt,muf,zetaf,hadron)
end function uTMDFF_kT_50_Evolved
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function uTMDFF_kT_5_Optimal(x,bt,hadron)
real*8:: uTMDFF_kT_5_Optimal(-5:5)
real*8:: x,bt
integer::hadron
uTMDFF_kT_5_Optimal=uTMDFF_kT_5(x,bt,hadron)
end function uTMDFF_kT_5_Optimal
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function uTMDFF_kT_50_Optimal(x,bt,hadron)
real*8:: uTMDFF_kT_50_Optimal(-5:5)
real*8:: x,bt
integer::hadron
uTMDFF_kT_50_Optimal=uTMDFF_kT_5(x,bt,hadron)
end function uTMDFF_kT_50_Optimal
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!! linearly polarized gluon TMDPDF
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function lpTMDPDF_kT_50_Evolved(x,bt,muf,zetaf,hadron)
real*8:: lpTMDPDF_kT_50_Evolved(-5:5)
real*8:: x,bt,muf,zetaf
integer::hadron
lpTMDPDF_kT_50_Evolved=lpTMDPDF_kT_50(x,bt,muf,zetaf,hadron)
end function lpTMDPDF_kT_50_Evolved
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function lpTMDPDF_kT_50_Optimal(x,bt,hadron)
real*8:: lpTMDPDF_kT_50_Optimal(-5:5)
real*8:: x,bt
integer::hadron
lpTMDPDF_kT_50_Optimal=lpTMDPDF_kT_50(x,bt,hadron)
end function lpTMDPDF_kT_50_Optimal
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!! Sivers TMDPDF
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function SiversTMDPDF_kT_5_Evolved(x,bt,muf,zetaf,hadron)
real*8:: SiversTMDPDF_kT_5_Evolved(-5:5)
real*8:: x,bt,muf,zetaf
integer::hadron
SiversTMDPDF_kT_5_Evolved=SiversTMDPDF_kT_5(x,bt,muf,zetaf,hadron)
end function SiversTMDPDF_kT_5_Evolved
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function SiversTMDPDF_kT_50_Evolved(x,bt,muf,zetaf,hadron)
real*8:: SiversTMDPDF_kT_50_Evolved(-5:5)
real*8:: x,bt,muf,zetaf
integer::hadron
SiversTMDPDF_kT_50_Evolved=SiversTMDPDF_kT_5(x,bt,muf,zetaf,hadron)
end function SiversTMDPDF_kT_50_Evolved
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function SiversTMDPDF_kT_5_Optimal(x,bt,hadron)
real*8:: SiversTMDPDF_kT_5_Optimal(-5:5)
real*8:: x,bt
integer::hadron
SiversTMDPDF_kT_5_Optimal=SiversTMDPDF_kT_5(x,bt,hadron)
end function SiversTMDPDF_kT_5_Optimal
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function SiversTMDPDF_kT_50_Optimal(x,bt,hadron)
real*8:: SiversTMDPDF_kT_50_Optimal(-5:5)
real*8:: x,bt
integer::hadron
SiversTMDPDF_kT_50_Optimal=SiversTMDPDF_kT_5(x,bt,hadron)
end function SiversTMDPDF_kT_50_Optimal
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!! wgt TMDPDF
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function wgtTMDPDF_kT_5_Evolved(x,bt,muf,zetaf,hadron)
real*8:: wgtTMDPDF_kT_5_Evolved(-5:5)
real*8:: x,bt,muf,zetaf
integer::hadron
wgtTMDPDF_kT_5_Evolved=wgtTMDPDF_kT_5(x,bt,muf,zetaf,hadron)
end function wgtTMDPDF_kT_5_Evolved
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function wgtTMDPDF_kT_50_Evolved(x,bt,muf,zetaf,hadron)
real*8:: wgtTMDPDF_kT_50_Evolved(-5:5)
real*8:: x,bt,muf,zetaf
integer::hadron
wgtTMDPDF_kT_50_Evolved=wgtTMDPDF_kT_5(x,bt,muf,zetaf,hadron)
end function wgtTMDPDF_kT_50_Evolved
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function wgtTMDPDF_kT_5_Optimal(x,bt,hadron)
real*8:: wgtTMDPDF_kT_5_Optimal(-5:5)
real*8:: x,bt
integer::hadron
wgtTMDPDF_kT_5_Optimal=wgtTMDPDF_kT_5(x,bt,hadron)
end function wgtTMDPDF_kT_5_Optimal
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function wgtTMDPDF_kT_50_Optimal(x,bt,hadron)
real*8:: wgtTMDPDF_kT_50_Optimal(-5:5)
real*8:: x,bt
integer::hadron
wgtTMDPDF_kT_50_Optimal=wgtTMDPDF_kT_5(x,bt,hadron)
end function wgtTMDPDF_kT_50_Optimal
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!DY CROSS-SECTION
function DY_xSec_SingleN(process,s,qT,Q,y,includeCuts,CutParameters,Num)
integer,intent(in),dimension(1:3)::process !the number of process
real*8,intent(in)::s !Mandelshtam s
real*8,intent(in),dimension(1:2)::qT !(qtMin,qtMax)
real*8,intent(in),dimension(1:2)::Q !(Qmin,Qmax)
real*8,intent(in),dimension(1:2)::y !(ymin,ymax)
logical,intent(in)::includeCuts !include cuts
real*8,intent(in),dimension(1:4)::CutParameters !(p1,p2,eta1,eta2)
integer,intent(in)::Num !number of sections
real*8::DY_xSec_Single
real*8::X
call xSec_DY(X,process,s,qT,Q,y,includeCuts,CutParameters,Num)
DY_xSec_SingleN=X
end function DY_xSec_SingleN
function DY_xSec_Single(process,s,qT,Q,y,includeCuts,CutParameters)
integer,intent(in),dimension(1:3)::process !the number of process
real*8,intent(in)::s !Mandelshtam s
real*8,intent(in),dimension(1:2)::qT !(qtMin,qtMax)
real*8,intent(in),dimension(1:2)::Q !(Qmin,Qmax)
real*8,intent(in),dimension(1:2)::y !(ymin,ymax)
logical,intent(in)::includeCuts !include cuts
real*8,intent(in),dimension(1:4)::CutParameters !(p1,p2,eta1,eta2)
real*8::DY_xSec_Single
real*8::X
call xSec_DY(X,process,s,qT,Q,y,includeCuts,CutParameters)
DY_xSec_Single=X
end function DY_xSec_Single
function DY_xSec_List(process,s,qT,Q,y,includeCuts,CutParameters,ListLength)
integer,intent(in)::ListLength
integer,intent(in),dimension(:,:)::process !the number of process
real*8,intent(in),dimension(:)::s !Mandelshtam s
real*8,intent(in),dimension(:,:)::qT !(qtMin,qtMax)
real*8,intent(in),dimension(:,:)::Q !(Qmin,Qmax)
real*8,intent(in),dimension(:,:)::y !(ymin,ymax)
logical,intent(in),dimension(:)::includeCuts !include cuts
real*8,intent(in),dimension(:,:)::CutParameters !(p1,p2,eta1,eta2)
real*8,dimension(1:ListLength)::DY_xSec_List
call xSec_DY_List(DY_xSec_List,process,s,qT,Q,y,includeCuts,CutParameters)
end function DY_xSec_List
function DY_xSec_BINLESS_List(process,s,qT,Q,y,includeCuts,CutParameters,ListLength)
integer,intent(in)::ListLength
integer,intent(in),dimension(:,:)::process !the number of process
real*8,intent(in),dimension(:)::s !Mandelshtam s
real*8,intent(in),dimension(:)::qT !(qtMin,qtMax)
real*8,intent(in),dimension(:)::Q !(Qmin,Qmax)
real*8,intent(in),dimension(:)::y !(ymin,ymax)
logical,intent(in),dimension(:)::includeCuts !include cuts
real*8,intent(in),dimension(:,:)::CutParameters !(p1,p2,eta1,eta2)
real*8,dimension(1:ListLength)::DY_xSec_BINLESS_List
call xSec_DY_List_BINLESS(DY_xSec_BINLESS_List,process,s,qT,Q,y,includeCuts,CutParameters)
end function DY_xSec_BINLESS_List
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!SIDIS CROSS-SECTION
function SIDIS_xSec_Single(process,s,pT,z,x,Q,doCut,Cuts)
integer,intent(in),dimension(1:3)::process !the number of process
real*8,intent(in)::s !Mandelshtam s
real*8,intent(in),dimension(1:2)::pT !(qtMin,qtMax)
real*8,intent(in),dimension(1:2)::z !(zmin,zmax)
real*8,intent(in),dimension(1:2)::x !(xmin,xmax)
real*8,intent(in),dimension(1:2)::Q !(Qmin,Qmax)
logical,intent(in)::doCut !triger cuts
real*8,intent(in),dimension(1:4)::Cuts !(ymin,yMax,W2min,W2max)
real*8::SIDIS_xSec_Single
call xSec_SIDIS(SIDIS_xSec_Single,process,s,pT,z,x,Q,doCut,Cuts)
end function SIDIS_xSec_Single
function SIDIS_xSec_Single_withMasses(process,s,pT,z,x,Q,doCut,Cuts,masses)
integer,intent(in),dimension(1:3)::process !the number of process
real*8,intent(in)::s !Mandelshtam s
real*8,intent(in),dimension(1:2)::pT !(qtMin,qtMax)
real*8,intent(in),dimension(1:2)::z !(zmin,zmax)
real*8,intent(in),dimension(1:2)::x !(xmin,xmax)
real*8,intent(in),dimension(1:2)::Q !(Qmin,Qmax)
logical,intent(in)::doCut !triger cuts
real*8,intent(in),dimension(1:4)::Cuts !(ymin,yMax,W2min,W2max)
real*8,intent(in),dimension(1:2)::masses !(mTARGET,mPRODUCT)
real*8::SIDIS_xSec_Single_withMasses
call xSec_SIDIS(SIDIS_xSec_Single_withMasses,process,s,pT,z,x,Q,doCut,Cuts,masses)
end function SIDIS_xSec_Single_withMasses
function SIDIS_xSec_List(process,s,pT,z,x,Q,doCut,Cuts,masses,ListLength)
integer,intent(in)::ListLength
integer,intent(in),dimension(:,:)::process !the number of process
real*8,intent(in),dimension(:)::s !Mandelshtam s
real*8,intent(in),dimension(:,:)::pT !(qtMin,qtMax)
real*8,intent(in),dimension(:,:)::z !(zmin,zmax)
real*8,intent(in),dimension(:,:)::x !(xmin,xmax)
real*8,intent(in),dimension(:,:)::Q !(Qmin,Qmax)
logical,intent(in),dimension(:)::doCut !triger cuts
real*8,intent(in),dimension(:,:)::Cuts !(ymin,yMax,W2min,W2max)
real*8,intent(in),dimension(:,:)::masses !(mTARGET,mPRODUCT)
real*8,dimension(1:ListLength)::SIDIS_xSec_List
call xSec_SIDIS_List_forharpy(SIDIS_xSec_List,process,s,pT,z,x,Q,doCut,Cuts,masses)
end function SIDIS_xSec_List
function SIDIS_xSec_BINLESS_List(process,s,pT,z,x,Q,masses,ListLength)
integer,intent(in)::ListLength
integer,intent(in),dimension(:,:)::process !the number of process
real*8,intent(in),dimension(:)::s !Mandelshtam s
real*8,intent(in),dimension(:)::pT !(qt)
real*8,intent(in),dimension(:)::z !(z)
real*8,intent(in),dimension(:)::x !(x)
real*8,intent(in),dimension(:)::Q !(Q)
real*8,intent(in),dimension(:,:)::masses !(mTARGET,mPRODUCT)
real*8,dimension(1:ListLength)::SIDIS_xSec_BINLESS_List
call xSec_SIDIS_BINLESS_List_forharpy(SIDIS_xSec_BINLESS_List,process,s,pT,z,x,Q,masses)
end function SIDIS_xSec_BINLESS_List
end module harpy
| 23,628 | 32.374294 | 119 | f90 |
artemide-public | artemide-public-master/harpy/harpy.py | ######################################################################
#
# artemide for python3
# A.Vladimirov (22.06.2020)
#
######################################################################
import artemide
import numpy
def initialize(fileName):
"""
Initialization of artemide
Parameters
----------
fileName : string
The path to the constants-file
Returns
-------
None.
"""
import os.path
if os.path.exists(fileName):
artemide.harpy.initialize(fileName)
if artemide.harpy.started:
pass
else:
print("Welcome to harpy -- the python interface for artemide")
else:
raise FileNotFoundError('consts-file '+fileName+' NOT FOUND')
def ShowStatistics():
"""
Print the statistics
Returns
-------
None.
"""
artemide.harpy.showstatistics()
def setNPparameters(l):
"""
Set NP parameters
Parameters
----------
l : float array
list of NP parameters
Returns
-------
None.
"""
if isinstance(l,list) or isinstance(l,numpy.ndarray):
artemide.harpy.setlambda_main(numpy.asfortranarray(l))
else:
raise TypeError()
def setNPparameters_TMDR(l):
"""
Setting NP parameters for the model of TMDR
Parameters
----------
l : float array or integer
list of NP parameters, or the number of replica (if supported by model)
Returns
-------
None.
"""
if isinstance(l,list) or isinstance(l,numpy.ndarray):
artemide.harpy.setlambda_tmdr(numpy.asfortranarray(l))
elif isinstance(l, int):
artemide.harpy.setreplica_tmdr(l)
else:
raise TypeError()
def setNPparameters_uTMDPDF(l):
"""
Setting NP parameters for the model of uTMDPDF
Parameters
----------
l : float array or integer
list of NP parameters, or the number of replica (if supported by model)
Returns
-------
None.
"""
if isinstance(l,list) or isinstance(l,numpy.ndarray):
artemide.harpy.setlambda_utmdpdf(numpy.asfortranarray(l))
elif isinstance(l, int):
artemide.harpy.setreplica_utmdpdf(l)
else:
raise TypeError()
def setNPparameters_uTMDFF(l):
"""
Setting NP parameters for the model of uTMDFF
Parameters
----------
l : float array or integer
list of NP parameters, or the number of replica (if supported by model)
Returns
-------
None.
"""
if isinstance(l,list) or isinstance(l,numpy.ndarray):
artemide.harpy.setlambda_utmdff(numpy.asfortranarray(l))
elif isinstance(l, int):
artemide.harpy.setreplica_utmdff(l)
else:
raise TypeError()
def setNPparameters_lpTMDPDF(l):
"""
Setting NP parameters for the model of lpTMDPDF
Parameters
----------
l : float array or integer
list of NP parameters, or the number of replica (if supported by model)
Returns
-------
None.
"""
if isinstance(l,list) or isinstance(l,numpy.ndarray):
artemide.harpy.setlambda_lptmdpdf(numpy.asfortranarray(l))
elif isinstance(l, int):
artemide.harpy.setreplica_lptmdpdf(l)
else:
raise TypeError()
def setNPparameters_SiversTMDPDF(l):
"""
Setting NP parameters for the model of SiversTMDPDF
Parameters
----------
l : float array or integer
list of NP parameters, or the number of replica (if supported by model)
Returns
-------
None.
"""
if isinstance(l,list) or isinstance(l,numpy.ndarray):
artemide.harpy.setlambda_siverstmdpdf(numpy.asfortranarray(l))
elif isinstance(l, int):
artemide.harpy.setreplica_siverstmdpdf(l)
else:
raise TypeError()
def setNPparameters_wgtTMDPDF(l):
"""
Setting NP parameters for the model of wgtTMDPDF
Parameters
----------
l : float array or integer
list of NP parameters, or the number of replica (if supported by model)
Returns
-------
None.
"""
if isinstance(l,list) or isinstance(l,numpy.ndarray):
artemide.harpy.setlambda_wgttmdpdf(numpy.asfortranarray(l))
elif isinstance(l, int):
artemide.harpy.setreplica_wgttmdpdf(l)
else:
raise TypeError()
def varyScales(c1,c2,c3,c4):
"""
Set new scale variation parameters
Parameters
----------
c1 : float
Scale variation parameter c1
c2 : float
Scale variation parameter c2
c3 : float
Scale variation parameter c3
c4 : float
Scale variation parameter c4
Returns
-------
None.
"""
if not isinstance(c1,float):
raise TypeError("c1 is not float")
if not isinstance(c2,float):
raise TypeError("c2 is not float")
if not isinstance(c3,float):
raise TypeError("c3 is not float")
if not isinstance(c4,float):
raise TypeError("c4 is not float")
artemide.harpy.setscalevariation(c1,c2,c3,c4)
def _IsKinematicProper(s,qT,Q,y):
""" Checks the point for the proper kinematics
Especially for the correct domain of X.
"""
gridX=0.00001
if qT[0]>qT[1]:
print('Wrong order of qT')
return False
if Q[0]>Q[1]:
print('Wrong order of Q')
return False
if y[0]>y[1]:
print('Wrong order of y')
return False
if qT[1]>Q[0]:
print('qT (',qT[1],') > Q(', Q[0],')')
return False
if Q[1]>s:
print('Q (',Q[1],') > s(', s,')')
return False
x1x2=(Q[0]**2+qT[0]**2)/s
ymax=-numpy.log(numpy.sqrt(x1x2))
ymin=-ymax
if y[1]<ymin or y[0]>ymax:
print('y ',y, 'is outside physical region ',[ymin,ymax])
return False
if y[1]>ymax:
if x1x2<gridX:
print('x outside of the grid')
return False
else:
if numpy.sqrt(x1x2)*numpy.exp(-y[1])<gridX:
print('x outside of the grid')
return False
if y[0]<ymin:
if x1x2<gridX:
print('x outside of the grid')
return False
else:
if numpy.sqrt(x1x2)*numpy.exp(y[0])<gridX:
print('x outside of the grid')
return False
x1x2=(Q[0]**2+qT[0]**2)/s
ymax=-numpy.log(numpy.sqrt(x1x2))
ymin=-ymax
if y[1]<ymin or y[0]>ymax:
print('y ',y, 'is outside physical region ',[ymin,ymax])
return False
if y[1]>ymax:
if x1x2<gridX:
print('x outside of the grid')
return False
else:
if numpy.sqrt(x1x2)*numpy.exp(-y[1])<gridX:
print('x outside of the grid')
return False
if y[0]<ymin:
if x1x2<gridX:
print('x outside of the grid')
return False
else:
if numpy.sqrt(x1x2)*numpy.exp(y[0])<gridX:
print('x outside of the grid')
return False
return True
def setPDFreplica(n,h=1):
"""
Changes the replica for PDF input.
This is a temporary function will be changed in future versions
Parameters
----------
n : Integer
Number of PDF replica
Returns
-------
None.
"""
if not isinstance(n,int):
raise TypeError()
artemide.harpy.setpdfreplica(n,h)
def sethPDFreplica(n,h=1):
"""
Changes the replica for PDF input.
This is a temporary function will be changed in future versions
Parameters
----------
n : Integer
Number of PDF replica
Returns
-------
None.
"""
if not isinstance(n,int):
raise TypeError()
artemide.harpy.setwgtpdfreplica(n,h)
def get_DNP(b,mu,f=1):
if not isinstance(b,float):
raise ValueError("parameter b must be float")
elif (b<0.):
b_internal=-b
else:
b_internal=b
if not isinstance(mu,float):
raise ValueError("parameter mu must be float")
elif (mu<1.):
raise ValueError("parameter mu must be > 1 GeV")
if not isinstance(f, int):
raise ValueError("parameter h must be integer")
if(f==0):
return artemide.harpy.getdnp(b_internal,mu,0)
else:
return artemide.harpy.getdnp(b_internal,mu,1)
def get_R(b,mu,zeta,f=1):
if not isinstance(b,float):
raise ValueError("parameter b must be float")
elif (b<0.):
b_internal=-b
else:
b_internal=b
if not isinstance(mu,float):
raise ValueError("parameter mu must be float")
elif (mu<1.):
raise ValueError("parameter mu must be > 1 GeV")
if not isinstance(zeta,float):
raise ValueError("parameter zeta must be float")
elif (zeta<1.):
raise ValueError("parameter zeta must be > 1 GeV")
if not isinstance(f, int):
raise ValueError("parameter h must be integer")
if(f==0):
return artemide.harpy.getr(b_internal,mu,zeta,0)
else:
return artemide.harpy.getr(b_internal,mu,zeta,1)
def get_uTMDPDF(x,b,h,mu=-1.,zeta=-1.,includeGluon=False):
"""
Return the string of unpolarized TMDPDF
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
If both mu and zeta are not specified (or negative) return optimal
if mu is positive returns evolved to mu,mu^2
Parameters
----------
x : float in [0,1]
Bjorken x
b : float >0
spatial parameter
h : integer 1,2,3,...
Hadron number
mu : float, optional
Scale of TMD mu [GeV]. The default is -1.
zeta : float, optional
Scale of TMD zeta [GeV]. The default is -1.
includeGluon : bool, optional
Include gluons or not. The default is False.
Returns
-------
[list of float]
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
"""
if not isinstance(x, float):
raise ValueError("parameter x must be float")
elif (x<0.) or (x>1.):
raise ValueError("parameter x must be in [0,1]")
if not isinstance(b, float):
raise ValueError("parameter b must be float")
elif (b<0.):
b_internal=-b
else:
b_internal=b
if not isinstance(h, int):
raise ValueError("parameter h must be integer")
elif h<1:
raise ValueError("parameter h expected to be positive integer")
if not isinstance(mu, float):
raise ValueError("parameter mu must be float")
if not isinstance(zeta, float):
raise ValueError("parameter zeta must be float")
if mu<0.:
if includeGluon:
return artemide.harpy.utmdpdf_50_optimal(x,b_internal,h)
else:
return artemide.harpy.utmdpdf_5_optimal(x,b_internal,h)
elif zeta<0:
if includeGluon:
return artemide.harpy.utmdpdf_50_evolved(x,b_internal,mu,mu**2,h)
else:
return artemide.harpy.utmdpdf_5_evolved(x,b_internal,mu,mu**2,h)
else:
if includeGluon:
return artemide.harpy.utmdpdf_50_evolved(x,b_internal,mu,zeta,h)
else:
return artemide.harpy.utmdpdf_5_evolved(x,b_internal,mu,zeta,h)
def get_uTMDFF(x,b,h,mu=-1.,zeta=-1.,includeGluon=False):
"""
Return the string of unpolarized TMDFF
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
If both mu and zeta are not specified (or negative) return optimal
if mu is positive returns evolved to mu,mu^2
Parameters
----------
x : float in [0,1]
Bjorken x
b : float >0
spatial parameter
h : integer 1,2,3,...
Hadron number
mu : float, optional
Scale of TMD mu [GeV]. The default is -1.
zeta : float, optional
Scale of TMD zeta [GeV]. The default is -1.
includeGluon : bool, optional
Include gluons or not. The default is False.
Returns
-------
[list of float]
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
"""
if not isinstance(x, float):
raise ValueError("parameter x must be float")
elif (x<0.) or (x>1.):
raise ValueError("parameter x must be in [0,1]")
if not isinstance(b, float):
raise ValueError("parameter b must be float")
elif (b<0.):
b_internal=-b
else:
b_internal=b
if not isinstance(h, int):
raise ValueError("parameter x must be float")
elif h<1:
raise ValueError("parameter h expected to be positive integer")
if not isinstance(mu, float):
raise ValueError("parameter mu must be float")
if not isinstance(zeta, float):
raise ValueError("parameter zeta must be float")
if mu<0.:
if includeGluon:
return artemide.harpy.utmdff_50_optimal(x,b_internal,h)
else:
return artemide.harpy.utmdff_5_optimal(x,b_internal,h)
elif zeta<0:
if includeGluon:
return artemide.harpy.utmdff_50_evolved(x,b_internal,mu,mu**2,h)
else:
return artemide.harpy.utmdff_5_evolved(x,b_internal,mu,mu**2,h)
else:
if includeGluon:
return artemide.harpy.utmdff_50_evolved(x,b_internal,mu,zeta,h)
else:
return artemide.harpy.utmdff_5_evolved(x,b_internal,mu,zeta,h)
def get_lpTMDPDF(x,b,h,mu=-1.,zeta=-1.,includeGluon=False):
"""
Return the string of linearly polarized gluon TMDFF
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
If both mu and zeta are not specified (or negative) return optimal
if mu is positive returns evolved to mu,mu^2
Parameters
----------
x : float in [0,1]
Bjorken x
b : float >0
spatial parameter
h : integer 1,2,3,...
Hadron number
mu : float, optional
Scale of TMD mu [GeV]. The default is -1.
zeta : float, optional
Scale of TMD zeta [GeV]. The default is -1.
includeGluon : bool, optional
IGNORED
Returns
-------
[list of float]
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
"""
if not isinstance(x, float):
raise ValueError("parameter x must be float")
elif (x<0.) or (x>1.):
raise ValueError("parameter x must be in [0,1]")
if not isinstance(b, float):
raise ValueError("parameter b must be float")
elif (b<0.):
b_internal=-b
else:
b_internal=b
if not isinstance(h, int):
raise ValueError("parameter x must be float")
elif h<1:
raise ValueError("parameter h expected to be positive integer")
if not isinstance(mu, float):
raise ValueError("parameter mu must be float")
if not isinstance(zeta, float):
raise ValueError("parameter zeta must be float")
if mu<0.:
return artemide.harpy.lptmdpdf_50_optimal(x,b_internal,h)
elif zeta<0:
return artemide.harpy.lptmdpdf_50_evolved(x,b_internal,mu,mu**2,h)
else:
return artemide.harpy.lptmdpdf_50_evolved(x,b_internal,mu,zeta,h)
def get_SiversTMDPDF(x,b,h,mu=-1.,zeta=-1.,includeGluon=False):
"""
Return the string of Sivers TMDPDF
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
If both mu and zeta are not specified (or negative) return optimal
if only mu is positive returns evolved to mu,mu^2
if mu and zeta are positive returns evolved to mu,zeta
Parameters
----------
x : float in [0,1]
Bjorken x
b : float >0
spatial parameter
h : integer 1,2,3,...
Hadron number
mu : float, optional
Scale of TMD mu [GeV]. The default is -1.
zeta : float, optional
Scale of TMD zeta [GeV]. The default is -1.
includeGluon : bool, optional
Include gluons or not. The default is False.
Returns
-------
[list of float]
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
"""
if not isinstance(x, float):
raise ValueError("parameter x must be float")
elif (x<0.) or (x>1.):
raise ValueError("parameter x must be in [0,1]")
if not isinstance(b, float):
raise ValueError("parameter b must be float")
elif (b<0.):
b_internal=-b
else:
b_internal=b
if not isinstance(h, int):
raise ValueError("parameter x must be float")
elif h<1:
raise ValueError("parameter h expected to be positive integer")
if not isinstance(mu, float):
raise ValueError("parameter mu must be float")
if not isinstance(zeta, float):
raise ValueError("parameter zeta must be float")
if mu<0.:
if includeGluon:
return artemide.harpy.siverstmdpdf_50_optimal(x,b_internal,h)
else:
return artemide.harpy.siverstmdpdf_5_optimal(x,b_internal,h)
elif zeta<0:
if includeGluon:
return artemide.harpy.siverstmdpdf_50_evolved(x,b_internal,mu,mu**2,h)
else:
return artemide.harpy.siverstmdpdf_5_evolved(x,b_internal,mu,mu**2,h)
else:
if includeGluon:
return artemide.harpy.siverstmdpdf_50_evolved(x,b_internal,mu,zeta,h)
else:
return artemide.harpy.siverstmdpdf_5_evolved(x,b_internal,mu,zeta,h)
def get_wgtTMDPDF(x,b,h,mu=-1.,zeta=-1.,includeGluon=False):
"""
Return the string of wgt TMDPDF
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
If both mu and zeta are not specified (or negative) return optimal
if only mu is positive returns evolved to mu,mu^2
if mu and zeta are positive returns evolved to mu,zeta
Parameters
----------
x : float in [0,1]
Bjorken x
b : float >0
spatial parameter
h : integer 1,2,3,...
Hadron number
mu : float, optional
Scale of TMD mu [GeV]. The default is -1.
zeta : float, optional
Scale of TMD zeta [GeV]. The default is -1.
includeGluon : bool, optional
Include gluons or not. The default is False.
Returns
-------
[list of float]
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
"""
if not isinstance(x, float):
raise ValueError("parameter x must be float")
elif (x<0.) or (x>1.):
raise ValueError("parameter x must be in [0,1]")
if not isinstance(b, float):
raise ValueError("parameter b must be float")
elif (b<0.):
b_internal=-b
else:
b_internal=b
if not isinstance(h, int):
raise ValueError("parameter x must be float")
elif h<1:
raise ValueError("parameter h expected to be positive integer")
if not isinstance(mu, float):
raise ValueError("parameter mu must be float")
if not isinstance(zeta, float):
raise ValueError("parameter zeta must be float")
if mu<0.:
if includeGluon:
return artemide.harpy.wgttmdpdf_50_optimal(x,b_internal,h)
else:
return artemide.harpy.wgttmdpdf_5_optimal(x,b_internal,h)
elif zeta<0:
if includeGluon:
return artemide.harpy.wgttmdpdf_50_evolved(x,b_internal,mu,mu**2,h)
else:
return artemide.harpy.wgttmdpdf_5_evolved(x,b_internal,mu,mu**2,h)
else:
if includeGluon:
return artemide.harpy.wgttmdpdf_50_evolved(x,b_internal,mu,zeta,h)
else:
return artemide.harpy.wgttmdpdf_5_evolved(x,b_internal,mu,zeta,h)
###############################################################################
def get_uTMDPDF_kT(x,kT,h,mu=-1.,zeta=-1.,includeGluon=False):
"""
Return the string of unpolarized TMDPDF in kT-space
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
If both mu and zeta are not specified (or negative) return optimal
if mu is positive returns evolved to mu,mu^2
Parameters
----------
x : float in [0,1]
Bjorken x
kT : float >0
spatial parameter
h : integer 1,2,3,...
Hadron number
mu : float, optional
Scale of TMD mu [GeV]. The default is -1.
zeta : float, optional
Scale of TMD zeta [GeV]. The default is -1.
includeGluon : bool, optional
Include gluons or not. The default is False.
Returns
-------
[list of float]
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
"""
if not isinstance(x, float):
raise ValueError("parameter x must be float")
elif (x<0.) or (x>1.):
raise ValueError("parameter x must be in [0,1]")
if not isinstance(kT, float):
raise ValueError("parameter kT must be float")
elif (kT<0.):
kT_internal=-kT
else:
kT_internal=kT
if not isinstance(h, int):
raise ValueError("parameter h must be integer")
elif h<1:
raise ValueError("parameter h expected to be positive integer")
if not isinstance(mu, float):
raise ValueError("parameter mu must be float")
if not isinstance(zeta, float):
raise ValueError("parameter zeta must be float")
if mu<0.:
if includeGluon:
return artemide.harpy.utmdpdf_kt_50_optimal(x,kT_internal,h)
else:
return artemide.harpy.utmdpdf_kt_5_optimal(x,kT_internal,h)
elif zeta<0:
if includeGluon:
return artemide.harpy.utmdpdf_kt_50_evolved(x,kT_internal,mu,mu**2,h)
else:
return artemide.harpy.utmdpdf_kt_5_evolved(x,kT_internal,mu,mu**2,h)
else:
if includeGluon:
return artemide.harpy.utmdpdf_kt_50_evolved(x,kT_internal,mu,zeta,h)
else:
return artemide.harpy.utmdpdf_kt_5_evolved(x,kT_internal,mu,zeta,h)
def get_uTMDFF_kT(x,kT,h,mu=-1.,zeta=-1.,includeGluon=False):
"""
Return the string of unpolarized TMDFF in kT-space
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
If both mu and zeta are not specified (or negative) return optimal
if mu is positive returns evolved to mu,mu^2
Parameters
----------
x : float in [0,1]
Bjorken x
kT : float >0
spatial parameter
h : integer 1,2,3,...
Hadron number
mu : float, optional
Scale of TMD mu [GeV]. The default is -1.
zeta : float, optional
Scale of TMD zeta [GeV]. The default is -1.
includeGluon : bool, optional
Include gluons or not. The default is False.
Returns
-------
[list of float]
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
"""
if not isinstance(x, float):
raise ValueError("parameter x must be float")
elif (x<0.) or (x>1.):
raise ValueError("parameter x must be in [0,1]")
if not isinstance(kT, float):
raise ValueError("parameter kT must be float")
elif (kT<0.):
kT_internal=-kT
else:
kT_internal=kT
if not isinstance(h, int):
raise ValueError("parameter x must be float")
elif h<1:
raise ValueError("parameter h expected to be positive integer")
if not isinstance(mu, float):
raise ValueError("parameter mu must be float")
if not isinstance(zeta, float):
raise ValueError("parameter zeta must be float")
if mu<0.:
if includeGluon:
return artemide.harpy.utmdff_kt_50_optimal(x,kT_internal,h)
else:
return artemide.harpy.utmdff_kt_5_optimal(x,kT_internal,h)
elif zeta<0:
if includeGluon:
return artemide.harpy.utmdff_kt_50_evolved(x,kT_internal,mu,mu**2,h)
else:
return artemide.harpy.utmdff_kt_5_evolved(x,kT_internal,mu,mu**2,h)
else:
if includeGluon:
return artemide.harpy.utmdff_kt_50_evolved(x,kT_internal,mu,zeta,h)
else:
return artemide.harpy.utmdff_kt_5_evolved(x,kT_internal,mu,zeta,h)
def get_lpTMDPDF_kT(x,kT,h,mu=-1.,zeta=-1.,includeGluon=False):
"""
Return the string of linearly polarized gluon TMDFF in kT-space
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
If both mu and zeta are not specified (or negative) return optimal
if mu is positive returns evolved to mu,mu^2
Parameters
----------
x : float in [0,1]
Bjorken x
kT : float >0
spatial parameter
h : integer 1,2,3,...
Hadron number
mu : float, optional
Scale of TMD mu [GeV]. The default is -1.
zeta : float, optional
Scale of TMD zeta [GeV]. The default is -1.
includeGluon : bool, optional
IGNORED
Returns
-------
[list of float]
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
"""
if not isinstance(x, float):
raise ValueError("parameter x must be float")
elif (x<0.) or (x>1.):
raise ValueError("parameter x must be in [0,1]")
if not isinstance(kT, float):
raise ValueError("parameter kT must be float")
elif (kT<0.):
kT_internal=-kT
else:
kT_internal=kT
if not isinstance(h, int):
raise ValueError("parameter x must be float")
elif h<1:
raise ValueError("parameter h expected to be positive integer")
if not isinstance(mu, float):
raise ValueError("parameter mu must be float")
if not isinstance(zeta, float):
raise ValueError("parameter zeta must be float")
if mu<0.:
return artemide.harpy.lptmdpdf_kt_50_optimal(x,kT_internal,h)
elif zeta<0:
return artemide.harpy.lptmdpdf_kt_50_evolved(x,kT_internal,mu,mu**2,h)
else:
return artemide.harpy.lptmdpdf_kt_50_evolved(x,kT_internal,mu,zeta,h)
def get_SiversTMDPDF_kT(x,kT,h,mu=-1.,zeta=-1.,includeGluon=False):
"""
Return the string of Sivers TMDPDF in kT-space
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
If both mu and zeta are not specified (or negative) return optimal
if mu is positive returns evolved to mu,mu^2
Parameters
----------
x : float in [0,1]
Bjorken x
kT : float >0
spatial parameter
h : integer 1,2,3,...
Hadron number
mu : float, optional
Scale of TMD mu [GeV]. The default is -1.
zeta : float, optional
Scale of TMD zeta [GeV]. The default is -1.
includeGluon : bool, optional
Include gluons or not. The default is False.
Returns
-------
[list of float]
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
"""
if not isinstance(x, float):
raise ValueError("parameter x must be float")
elif (x<0.) or (x>1.):
raise ValueError("parameter x must be in [0,1]")
if not isinstance(kT, float):
raise ValueError("parameter kT must be float")
elif (kT<0.):
kT_internal=-kT
else:
kT_internal=kT
if not isinstance(h, int):
raise ValueError("parameter x must be float")
elif h<1:
raise ValueError("parameter h expected to be positive integer")
if not isinstance(mu, float):
raise ValueError("parameter mu must be float")
if not isinstance(zeta, float):
raise ValueError("parameter zeta must be float")
if mu<0.:
if includeGluon:
return artemide.harpy.siverstmdpdf_kt_50_optimal(x,kT_internal,h)
else:
return artemide.harpy.siverstmdpdf_kt_5_optimal(x,kT_internal,h)
elif zeta<0:
if includeGluon:
return artemide.harpy.siverstmdpdf_kt_50_evolved(x,kT_internal,mu,mu**2,h)
else:
return artemide.harpy.siverstmdpdf_kt_5_evolved(x,kT_internal,mu,mu**2,h)
else:
if includeGluon:
return artemide.harpy.siverstmdpdf_kt_50_evolved(x,kT_internal,mu,zeta,h)
else:
return artemide.harpy.siverstmdpdf_kt_5_evolved(x,kT_internal,mu,zeta,h)
def get_wgtTMDPDF_kT(x,kT,h,mu=-1.,zeta=-1.,includeGluon=False):
"""
Return the string of Worm-gear T TMDPDF in kT-space
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
If both mu and zeta are not specified (or negative) return optimal
if mu is positive returns evolved to mu,mu^2
Parameters
----------
x : float in [0,1]
Bjorken x
kT : float >0
spatial parameter
h : integer 1,2,3,...
Hadron number
mu : float, optional
Scale of TMD mu [GeV]. The default is -1.
zeta : float, optional
Scale of TMD zeta [GeV]. The default is -1.
includeGluon : bool, optional
Include gluons or not. The default is False.
Returns
-------
[list of float]
(bbar,cbar,sbar,ubar,dbar,gluon,d,u,s,c,b)
"""
if not isinstance(x, float):
raise ValueError("parameter x must be float")
elif (x<0.) or (x>1.):
raise ValueError("parameter x must be in [0,1]")
if not isinstance(kT, float):
raise ValueError("parameter kT must be float")
elif (kT<0.):
kT_internal=-kT
else:
kT_internal=kT
if not isinstance(h, int):
raise ValueError("parameter x must be float")
elif h<1:
raise ValueError("parameter h expected to be positive integer")
if not isinstance(mu, float):
raise ValueError("parameter mu must be float")
if not isinstance(zeta, float):
raise ValueError("parameter zeta must be float")
if mu<0.:
if includeGluon:
return artemide.harpy.wgttmdpdf_kt_50_optimal(x,kT_internal,h)
else:
return artemide.harpy.wgttmdpdf_kt_5_optimal(x,kT_internal,h)
elif zeta<0:
if includeGluon:
return artemide.harpy.wgttmdpdf_kt_50_evolved(x,kT_internal,mu,mu**2,h)
else:
return artemide.harpy.wgttmdpdf_kt_5_evolved(x,kT_internal,mu,mu**2,h)
else:
if includeGluon:
return artemide.harpy.wgttmdpdf_kt_50_evolved(x,kT_internal,mu,zeta,h)
else:
return artemide.harpy.wgttmdpdf_kt_5_evolved(x,kT_internal,mu,zeta,h)
###############################################################################
class DY:
"""Static class for evaluation of DY cross-section
"""
@staticmethod
def xSec(process,s,qT,Q,y,includeCuts,CutParameters=None,Num=None):
"""Cross-section for DY integrated over bin
Arguments: (process,s,qT,Q,y,includeCuts,CutParameters=None,Num=4)
process = (int, int, int) (see definition in artemide manual)
s = Mandelshtam variable s
qT = (qT-Min,qT-Max) boundaries of bin in qT
Q = (Q-Min,Q-Max) boundaries of bin in Q
y = (y-Min,y-Max) boundaries of bin in y
includeCuts = True/False to include leptonic cuts
CutParameters = (real,real,real,real) must be if includeCuts=True (see definition in artemide manual)
Num = even integer, number of section of qt-integration (defaul=4)
"""
if not includeCuts:
cc=[0,0,0,0]
else:
cc=CutParameters
if Num==None:
return artemide.harpy.dy_xsec_single(\
numpy.asfortranarray(process),\
s,\
numpy.asfortranarray(qT),\
numpy.asfortranarray(Q),\
numpy.asfortranarray(y),\
includeCuts,\
numpy.asfortranarray(cc))
else:
return artemide.harpy.dy_xsec_single(\
numpy.asfortranarray(process),\
s,\
numpy.asfortranarray(qT),\
numpy.asfortranarray(Q),\
numpy.asfortranarray(y),\
includeCuts,\
numpy.asfortranarray(cc),\
Num)
@staticmethod
def xSecList(process,s,qT,Q,y,includeCuts,CutParameters):
return artemide.harpy.dy_xsec_list(numpy.asfortranarray(process),\
numpy.asfortranarray(s),\
numpy.asfortranarray(qT),\
numpy.asfortranarray(Q),\
numpy.asfortranarray(y),\
numpy.asfortranarray(includeCuts),\
numpy.asfortranarray(CutParameters),\
len(s))
@staticmethod
def xSecListBINLESS(process,s,qT,Q,y,includeCuts,CutParameters):
""" The evaluation of cross-section at a single point.
"""
#print len(s)
return artemide.harpy.dy_xsec_binless_list(numpy.asfortranarray(process),\
numpy.asfortranarray(s),\
numpy.asfortranarray(qT),\
numpy.asfortranarray(Q),\
numpy.asfortranarray(y),\
numpy.asfortranarray(includeCuts),\
numpy.asfortranarray(CutParameters),\
len(s))
###############################################################################
class SIDIS:
"""Static class for evaluation of SIDIS cross-section
"""
@staticmethod
def xSec(process,s,pT,z,x,Q,includeCuts,CutParameters=None,masses=[0.938,0.130]):
"""Cross-section for DY integrated over bin
Arguments: (process,s,qT,z,x,Q,includeCuts,CutParameters=None)
process = (int, int, int) (see definition in artemide manual)
s = Mandelshtan variable s
pT = (pT-Min,pT-Max) boundaries of bin in pT
z = (z-Min,z-Max) boundaries of bin in z
x = (x-Min,x-Max) boundaries of bin in x
Q = (Q-Min,Q-Max) boundaries of bin in Q
includeCuts = True/False to include leptonic cuts
CutParameters = (real,real,real,real) must be if includeCuts=True (see definition in artemide manual)
"""
if not includeCuts:
cc=[0,0,0,100]
else:
cc=CutParameters
return artemide.harpy.sidis_xsec_single_withmasses(\
numpy.asfortranarray(process),\
s,\
numpy.asfortranarray(pT),\
numpy.asfortranarray(z),\
numpy.asfortranarray(x),\
numpy.asfortranarray(Q),\
includeCuts,\
numpy.asfortranarray(cc),
numpy.asfortranarray(masses))
@staticmethod
def xSecList(process,s,pT,z,x,Q,includeCuts,CutParameters,masses):
return artemide.harpy.sidis_xsec_list(numpy.asfortranarray(process),\
numpy.asfortranarray(s),\
numpy.asfortranarray(pT),\
numpy.asfortranarray(z),\
numpy.asfortranarray(x),\
numpy.asfortranarray(Q),\
numpy.asfortranarray(includeCuts),\
numpy.asfortranarray(CutParameters),\
numpy.asfortranarray(masses),\
len(s))
@staticmethod
def xSecListBINLESS(process,s,pT,z,x,Q,masses):
""" The evaluation of cross-section at a single point.
No binning effects.
Consiquetly, no cuts.
"""
return artemide.harpy.sidis_xsec_binless_list(numpy.asfortranarray(process),\
numpy.asfortranarray(s),\
numpy.asfortranarray(pT),\
numpy.asfortranarray(z),\
numpy.asfortranarray(x),\
numpy.asfortranarray(Q),\
numpy.asfortranarray(masses),\
len(s))
| 37,155 | 30.355274 | 119 | py |
artemide-public | artemide-public-master/harpy/harpy2.py | ######################################################################
#
# artemide for python2
# A.Vladimirov (16.01.2019)
#
######################################################################
import artemide
import numpy
def initialize(fileName):
"""Initialization of artemide
Argument: order = LO, NLO, NNLO
"""
artemide.harpy.initialize(fileName)
if artemide.harpy.started:
pass
else:
print "Welcome to harpy -- the python interface for artemide"
def ShowStatistics():
artemide.harpy.showstatistics()
def setNPparameters(l):
"""Setting NP parameters for the model
Arguments: (l)
Argument overloading:
(integer) = loads replica
(array) = set array on NP parameters
"""
if isinstance(l,list) or isinstance(l,numpy.ndarray):
artemide.harpy.setlambda_main(numpy.asfortranarray(l))
else:
print 'ERROR: argument must be list'
def setNPparameters_TMDR(l):
"""Setting NP parameters for the model of TMDR
Arguments: (l)
Argument overloading:
(integer) = loads replica
(array) = set array on NP parameters
"""
if isinstance(l,list) or isinstance(l,numpy.ndarray):
artemide.harpy.setlambda_tmdr(numpy.asfortranarray(l))
else:
artemide.harpy.setreplica_tmdr(int(l))
def setNPparameters_uTMDPDF(l):
"""Setting NP parameters for the model of uTMDPDF
Arguments: (l)
Argument overloading:
(integer) = loads replica
(array) = set array on NP parameters
"""
if isinstance(l,list) or isinstance(l,numpy.ndarray):
artemide.harpy.setlambda_utmdpdf(numpy.asfortranarray(l))
else:
artemide.harpy.setreplica_utmdpdf(int(l))
def setNPparameters_uTMDFF(l):
"""Setting NP parameters for the model of uTMDFF
Arguments: (l)
Argument overloading:
(integer) = loads replica
(array) = set array on NP parameters
"""
if isinstance(l,list) or isinstance(l,numpy.ndarray):
artemide.harpy.setlambda_utmdff(numpy.asfortranarray(l))
else:
artemide.harpy.setreplica_utmdff(int(l))
def setNPparameters_lpTMDPDF(l):
"""Setting NP parameters for the model of lpTMDPDF
Arguments: (l)
Argument overloading:
(integer) = loads replica
(array) = set array on NP parameters
"""
if isinstance(l,list) or isinstance(l,numpy.ndarray):
artemide.harpy.setlambda_lptmdpdf(numpy.asfortranarray(l))
else:
artemide.harpy.setreplica_lptmdpdf(int(l))
def setNPparameters_SiversTMDPDF(l):
"""Setting NP parameters for the model of SiversTMDPDF
Arguments: (l)
Argument overloading:
(integer) = loads replica
(array) = set array on NP parameters
"""
if isinstance(l,list) or isinstance(l,numpy.ndarray):
artemide.harpy.setlambda_siverstmdpdf(numpy.asfortranarray(l))
else:
artemide.harpy.setreplica_siverstmdpdf(int(l))
def setNPparameters_wgtTMDPDF(l):
"""Setting NP parameters for the model of wgtTMDPDF
Arguments: (l)
Argument overloading:
(integer) = loads replica
(array) = set array on NP parameters
"""
if isinstance(l,list) or isinstance(l,numpy.ndarray):
artemide.harpy.setlambda_wgttmdpdf(numpy.asfortranarray(l))
else:
artemide.harpy.setreplica_wgttmdpdf(int(l))
def varyScales(c1,c2,c3,c4):
"""Set new scale variation parameters
Arguments: (c1,c2,c3,c4)
"""
artemide.harpy.setscalevariation(c1,c2,c3,c4)
def _IsKinematicProper(s,qT,Q,y):
""" Checks the point for the proper kinematics
Especially for the correct domain of X.
"""
gridX=0.00001
if qT[0]>qT[1]:
print 'Wrong order of qT'
return False
if Q[0]>Q[1]:
print 'Wrong order of Q'
return False
if y[0]>y[1]:
print 'Wrong order of y'
return False
if qT[1]>Q[0]:
print 'qT (',qT[1],') > Q(', Q[0],')'
return False
if Q[1]>s:
print 'Q (',Q[1],') > s(', s,')'
return False
x1x2=(Q[0]**2+qT[0]**2)/s
ymax=-numpy.log(numpy.sqrt(x1x2))
ymin=-ymax
if y[1]<ymin or y[0]>ymax:
print 'y ',y, 'is outside physical region ',[ymin,ymax]
return False
if y[1]>ymax:
if x1x2<gridX:
print 'x outside of the grid'
return False
else:
if numpy.sqrt(x1x2)*numpy.exp(-y[1])<gridX:
print 'x outside of the grid'
return False
if y[0]<ymin:
if x1x2<gridX:
print 'x outside of the grid'
return False
else:
if numpy.sqrt(x1x2)*numpy.exp(y[0])<gridX:
print 'x outside of the grid'
return False
x1x2=(Q[0]**2+qT[0]**2)/s
ymax=-numpy.log(numpy.sqrt(x1x2))
ymin=-ymax
if y[1]<ymin or y[0]>ymax:
print 'y ',y, 'is outside physical region ',[ymin,ymax]
return False
if y[1]>ymax:
if x1x2<gridX:
print 'x outside of the grid'
return False
else:
if numpy.sqrt(x1x2)*numpy.exp(-y[1])<gridX:
print 'x outside of the grid'
return False
if y[0]<ymin:
if x1x2<gridX:
print 'x outside of the grid'
return False
else:
if numpy.sqrt(x1x2)*numpy.exp(y[0])<gridX:
print 'x outside of the grid'
return False
return True
def setPDFreplica(n):
"""Changes the replica for PDF input.
This is a temporary function will be changed in future versions
"""
artemide.harpy.setpdfreplica(n)
###############################################################################
class TMD5:
"""Static class for TMDPDFs
TMDs without gluon component
"""
@staticmethod
def unpolarizedPDF(x,bt,a=None,b=None,c=None):
"""Unpolarized TMD PDF f_1
Arguments: (x,b)
Argument overloading:
(x,b) = optimal TMD for hadron=1
(x,b,h) = optimal TMD for hadron=h (integer)
(x,b,mu,zeta) = TMD at scale (mu,zeta) for hadron=1
(x,b,mu,zeta,h) = TMD at scale (mu,zeta) for hadron=h(integer)
"""
if a==None: #(-,?,?)
if b==None and c==None: #(-,-,-)
return artemide.harpy.utmdpdf_5_optimal(x,bt,1)
else: #(-,?,?) ?!
print "I am not sure how python works. 1"
return 0
elif b==None: #(a,-,?)
if c==None: #(a,-,-) => a=h
return artemide.harpy.utmdpdf_5_optimal(x,bt,int(a))
else: #(a,-,?) ?!
print "I am not sure how python works. 2"
return 0
elif c==None: #(a,b,-) => (a,b)=(mu,zeta)
return artemide.harpy.utmdpdf_5_evolved(x,bt,a,b,1)
else:
return artemide.harpy.utmdpdf_5_evolved(x,bt,a,b,int(c))
###############################################################################
class TMD50:
"""Static class for TMDPDFs
TMDs with gluon component
"""
@staticmethod
def unpolarizedPDF(x,bt,a=None,b=None,c=None):
"""Unpolarized TMD PDF f_1
Arguments: (x,b)
Argument overloading:
(x,b) = optimal TMD for hadron=1
(x,b,h) = optimal TMD for hadron=h (integer)
(x,b,mu,zeta) = TMD at scale (mu,zeta) for hadron=1
(x,b,mu,zeta,h) = TMD at scale (mu,zeta) for hadron=h(integer)
"""
if a==None: #(-,?,?)
if b==None and c==None: #(-,-,-)
return artemide.harpy.utmdpdf_50_optimal(x,bt,1)
else: #(-,?,?) ?!
print "I am not sure how python works. 1"
return 0
elif b==None: #(a,-,?)
if c==None: #(a,-,-) => a=h
return artemide.harpy.utmdpdf_50_optimal(x,bt,int(a))
else: #(a,-,?) ?!
print "I am not sure how python works. 2"
return 0
elif c==None: #(a,b,-) => (a,b)=(mu,zeta)
return artemide.harpy.utmdpdf_50_evolved(x,bt,a,b,1)
else:
return artemide.harpy.utmdpdf_50_evolved(x,bt,a,b,int(c))
###############################################################################
class TMD5_inKT:
"""Static class for TMDPDFs
TMDs without gluon component
"""
@staticmethod
def unpolarizedPDF(x,kt,a=None,b=None,c=None):
"""Unpolarized TMD PDF f_1
Arguments: (x,kt)
Argument overloading:
(x,kt) = optimal TMD for hadron=1
(x,kt,h) = optimal TMD for hadron=h (integer)
(x,kt,mu,zeta) = TMD at scale (mu,zeta) for hadron=1
(x,kt,mu,zeta,h) = TMD at scale (mu,zeta) for hadron=h(integer)
"""
if a==None: #(-,?,?)
if b==None and c==None: #(-,-,-)
return artemide.harpy.utmdpdf_kt_5_optimal(x,kt,1)
else: #(-,?,?) ?!
print "I am not sure how python works. 1"
return 0
elif b==None: #(a,-,?)
if c==None: #(a,-,-) => a=h
return artemide.harpy.utmdpdf_kt_5_optimal(x,kt,int(a))
else: #(a,-,?) ?!
print "I am not sure how python works. 2"
return 0
elif c==None: #(a,b,-) => (a,b)=(mu,zeta)
return artemide.harpy.utmdpdf_kt_5_evolved(x,kt,a,b,1)
else:
return artemide.harpy.utmdpdf_kt_5_evolved(x,kt,a,b,int(c))
###############################################################################
class TMD50_inKT:
"""Static class for TMDPDFs
TMDs with gluon component
"""
@staticmethod
def unpolarizedPDF(x,kt,a=None,b=None,c=None):
"""Unpolarized TMD PDF f_1
Arguments: (x,kt)
Argument overloading:
(x,kt) = optimal TMD for hadron=1
(x,kt,h) = optimal TMD for hadron=h (integer)
(x,kt,mu,zeta) = TMD at scale (mu,zeta) for hadron=1
(x,kt,mu,zeta,h) = TMD at scale (mu,zeta) for hadron=h(integer)
"""
if a==None: #(-,?,?)
if b==None and c==None: #(-,-,-)
return artemide.harpy.utmdpdf_kt_50_optimal(x,kt,1)
else: #(-,?,?) ?!
print "I am not sure how python works. 1"
return 0
elif b==None: #(a,-,?)
if c==None: #(a,-,-) => a=h
return artemide.harpy.utmdpdf_kt_50_optimal(x,kt,int(a))
else: #(a,-,?) ?!
print "I am not sure how python works. 2"
return 0
elif c==None: #(a,b,-) => (a,b)=(mu,zeta)
return artemide.harpy.utmdpdf_kt_50_evolved(x,kt,a,b,1)
else:
return artemide.harpy.utmdpdf_kt_50_evolved(x,kt,a,b,int(c))
###############################################################################
class DY:
"""Static class for evaluation of DY cross-section
"""
@staticmethod
def xSec(process,s,qT,Q,y,includeCuts,CutParameters=None,Num=None):
"""Cross-section for DY integrated over bin
Arguments: (process,s,qT,Q,y,includeCuts,CutParameters=None,Num=4)
process = (int, int, int) (see definition in artemide manual)
s = Mandelshtan variable s
qT = (qT-Min,qT-Max) boundaries of bin in qT
Q = (Q-Min,Q-Max) boundaries of bin in Q
y = (y-Min,y-Max) boundaries of bin in y
includeCuts = True/False to include leptonic cuts
CutParameters = (real,real,real,real) must be if includeCuts=True (see definition in artemide manual)
Num = even integer, number of section of qt-integration (defaul=4)
"""
# if includeCuts and CutParameters==None:
# print "ERROR 1: specify the cut parameters"
# return 0
#
# if includeCuts and (len(CutParameters) != 4):
# print "ERROR 2: legnth of CutParameters must 4"
# return 0
#
# if len(process) != 3:
# print "ERROR 3: legnth of process must 3"
# return 0
#
# if len(qT) != 2:
# print "ERROR 4: legnth of qT must 2"
# return 0
#
# if len(Q) != 2:
# print "ERROR 5: legnth of Q must 2"
# return 0
#
# if len(y) != 2:
# print "ERROR 6: legnth of y must 2"
# return 0
if not includeCuts:
cc=[0,0,0,0]
else:
cc=CutParameters
if Num==None:
return artemide.harpy.dy_xsec_single(\
numpy.asfortranarray(process),\
s,\
numpy.asfortranarray(qT),\
numpy.asfortranarray(Q),\
numpy.asfortranarray(y),\
includeCuts,\
numpy.asfortranarray(cc))
else:
return artemide.harpy.dy_xsec_single(\
numpy.asfortranarray(process),\
s,\
numpy.asfortranarray(qT),\
numpy.asfortranarray(Q),\
numpy.asfortranarray(y),\
includeCuts,\
numpy.asfortranarray(cc),\
Num)
@staticmethod
def xSecList(process,s,qT,Q,y,includeCuts,CutParameters):
return artemide.harpy.dy_xsec_list(numpy.asfortranarray(process),\
numpy.asfortranarray(s),\
numpy.asfortranarray(qT),\
numpy.asfortranarray(Q),\
numpy.asfortranarray(y),\
numpy.asfortranarray(includeCuts),\
numpy.asfortranarray(CutParameters),\
len(s))
@staticmethod
def xSecListBINLESS(process,s,qT,Q,y,includeCuts,CutParameters):
""" The evaluation of cross-section at a single point.
"""
#print len(s)
return artemide.harpy.dy_xsec_binless_list(numpy.asfortranarray(process),\
numpy.asfortranarray(s),\
numpy.asfortranarray(qT),\
numpy.asfortranarray(Q),\
numpy.asfortranarray(y),\
numpy.asfortranarray(includeCuts),\
numpy.asfortranarray(CutParameters),\
len(s))
###############################################################################
class SIDIS:
"""Static class for evaluation of SIDIS cross-section
"""
@staticmethod
def xSec(process,s,pT,z,x,Q,includeCuts,CutParameters=None,masses=[0.938,0.130]):
"""Cross-section for DY integrated over bin
Arguments: (process,s,qT,z,x,Q,includeCuts,CutParameters=None)
process = (int, int, int) (see definition in artemide manual)
s = Mandelshtan variable s
pT = (pT-Min,pT-Max) boundaries of bin in pT
z = (z-Min,z-Max) boundaries of bin in z
x = (x-Min,x-Max) boundaries of bin in x
Q = (Q-Min,Q-Max) boundaries of bin in Q
includeCuts = True/False to include leptonic cuts
CutParameters = (real,real,real,real) must be if includeCuts=True (see definition in artemide manual)
"""
if not includeCuts:
cc=[0,0,0,100]
else:
cc=CutParameters
return artemide.harpy.sidis_xsec_single_withmasses(\
numpy.asfortranarray(process),\
s,\
numpy.asfortranarray(pT),\
numpy.asfortranarray(z),\
numpy.asfortranarray(x),\
numpy.asfortranarray(Q),\
includeCuts,\
numpy.asfortranarray(cc),
numpy.asfortranarray(masses))
@staticmethod
def xSecList(process,s,pT,z,x,Q,includeCuts,CutParameters,masses):
return artemide.harpy.sidis_xsec_list(numpy.asfortranarray(process),\
numpy.asfortranarray(s),\
numpy.asfortranarray(pT),\
numpy.asfortranarray(z),\
numpy.asfortranarray(x),\
numpy.asfortranarray(Q),\
numpy.asfortranarray(includeCuts),\
numpy.asfortranarray(CutParameters),\
numpy.asfortranarray(masses),\
len(s))
@staticmethod
def xSecListBINLESS(process,s,pT,z,x,Q,masses):
""" The evaluation of cross-section at a single point.
No binning effects.
Consiquetly, no cuts.
"""
return artemide.harpy.sidis_xsec_binless_list(numpy.asfortranarray(process),\
numpy.asfortranarray(s),\
numpy.asfortranarray(pT),\
numpy.asfortranarray(z),\
numpy.asfortranarray(x),\
numpy.asfortranarray(Q),\
numpy.asfortranarray(masses),\
len(s))
| 20,691 | 40.466934 | 119 | py |
artemide-public | artemide-public-master/src/DYcoeff-func.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!! Part of code that contains hard coefficient functions for Drell-Yan-like x-Sections
!! is a part of artemide.TMDX_DY
!!
!! 16.06.2019 created A.Vladimirov
!!
!! A.Vladimirov
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!-----------------------------------------------------------------------------------------------------
!------------------------------------------Drell-Yan -------------------------------------------------
!!! hard coefficeint taken from 1004.3653 up to 3-loop
!!! it is evaluated at mu=Q
function HardCoefficientDY(mu)
real(dp)::HardCoefficientDY,mu,LQ!=Log[Q^2/mu^2]=-2Log[c1]
real(dp)::alpha
If(usePiresum) then
!!! this expression is get by expanding pi-resummedexponent and CV^2 to fixed order
HardCoefficientDY=1.d0
if(orderH_global>=1) then
LQ=-2d0*LOG(c2_global)
alpha=As(mu*c2_global)
HardCoefficientDY=HardCoefficientDY+alpha*&
(-16.946842488404727d0 + 8d0*LQ-2.6666666666666665d0*LQ**2)
if(orderH_global>=2) then
HardCoefficientDY=HardCoefficientDY+alpha**2*&
(-25.413248632430818d0 -208.56946563098907d0*LQ +28.103117631243492d0*LQ**2&
- 14.518518518518519d0*LQ**3 + 3.5555555555555554d0*LQ**4)
if(orderH_global>=3) then
HardCoefficientDY=HardCoefficientDY+alpha**3*&
(7884.91043450197d0 -3916.5246445256016d0*LQ +58.76188412075794d0*LQ**2&
+418.58823871161303d0*LQ**3 +13.708854670518122d0*LQ**4 + 10.271604938271604d0*LQ**5&
-3.1604938271604937d0*LQ**6)
end if
end if
end if
HardCoefficientDY=HardCoefficientDY*PiResumFactor_q(alpha)
else
HardCoefficientDY=1.d0
if(orderH_global>=1) then
LQ=-2d0*LOG(c2_global)
alpha=As(mu*c2_global)
HardCoefficientDY=HardCoefficientDY+alpha*&
(9.372102581166892d0 + 8d0*LQ-2.6666666666666665d0*LQ**2)
if(orderH_global>=2) then
HardCoefficientDY=HardCoefficientDY+alpha**2*&
(359.39087353234015d0 + 1.9820949255839224d0*LQ - 42.08073588761418d0*LQ**2&
- 14.518518518518519d0*LQ**3 + 3.5555555555555554d0*LQ**4)
if(orderH_global>=3) then
HardCoefficientDY=HardCoefficientDY+alpha**3*&
(8935.66841729192d0 - 2759.2358438992906d0*LQ - 1417.132743244908d0*LQ**2&
+ 36.47614733116575d0*LQ**3 + 107.28732602899498d0*LQ**4 + 10.271604938271604d0*LQ**5&
-3.1604938271604937d0*LQ**6)
if(orderH_global>=4) then
HardCoefficientDY=HardCoefficientDY+alpha**4*&
(135087.2036735284d0 - 150489.22799257038d0*LQ + 64333.03564525264d0*LQ**2 &
- 8614.870827808947d0*LQ**3 - 1644.002266122397d0*LQ**4 + 403.72511575802685d0*LQ**5 &
- 57.47461249405413d0*LQ**6 - 3.950617283950617d0*LQ**7 + 1.8436213991769548d0*LQ**8)
end if
end if
end if
end if
end if
end function HardCoefficientDY
!!! factor for resummed pi^2 contributions for DY-process
!!! see [0808.3008]
function PiResumFactor_q(alpha)
real(dp)::PiResumFactor_q
real(dp)::alpha,aa,ArcT,LogA,UU
! Nf=5 everywhere
aa=24.08554367752175d0*alpha ! beta0*pi*alpha
ArcT=2d0*atan(aa)
LogA=Log(1+aa**2)
UU=24d0/529d0/alpha*(aa*ArcT-LogA)
if(orderH_global>=2) then
UU=UU+0.05720391222158297d0*(ArcT**2-LogA**2)+0.6063377746307231d0*LogA
if(orderH_global>=3) then
UU=UU+alpha/(1+aa**2)*(-3.4962177171202846d0*aa**2 + 3.3966025898820527d0*aa*ArcT &
+ 0.36427776d0*ArcT**2 + 2.9812442965487187d0*LogA &
- 0.41535829333333335d0*aa**2+LogA - 0.72855552d0*aa*ArcT*LogA - 0.36427776d0*LogA**2)
end if
end if
PiResumFactor_q=Exp(UU)
end function PiResumFactor_q
!-----------------------------------------------------------------------------------------------------
!------------------------------------------Higgs production-------------------------------------------
!!! effective coupling for vertex HFF through the top-quark trinagle
!!! defined to start from 1 (see e.g.[0809.4283] (11)-(12)
!!! mu is scale of coupling
!!! coeff-function is taken at mu=mT (and Nf=5 or 6) and evolved to the scale mu
function EffCouplingHFF(mu)
real(dp)::mu,EffCouplingHFF
real(dp)::alphaT,alphaMU,betaT,betaMU
alphaT=As(mTOP)
alphaMU=As(c2_global*mu)
!!! we consider only two situations mu<mTOP (Nf=5) and mu >mTOP (Nf=6)
!!! for mu<mBOTTOM we do nothing (this situation posible never appears)
if(mu<=mTOP) then
if(mu<mBOTTOM) call Warning_Raise('no threashold matching for Higgs-DY for mu<mBOTTOM',&
messageCounter,messageTrigger,modulename)
!!betaT is beta-function at mT it is normalized to be 1 at LO
!!betaMU is beta-function at MU it is normalized to be 1 at LO
betaT=1d0+alphaT*5.0434782608695645d0
betaMU=1d0+alphaMU*5.0434782608695645d0
EffCouplingHFF=1d0
if(orderH_global>=1) then
betaT=betaT+alphaT**2*23.596618357487923d0
betaMU=betaMU+alphaMU**2*23.596618357487923d0
EffCouplingHFF=EffCouplingHFF+alphaT*11d0
if(orderH_global>=2) then
betaT=betaT+alphaT**3*629.4986515814214d0
betaMU=betaMU+alphaMU**3*629.4986515814214d0
EffCouplingHFF=EffCouplingHFF+alphaT**2*98.44444444444444d0
if(orderH_global>=3) then
call Warning_Raise(&
'no NNNLO implementation of Higgs coefficient function (so far). Continue NNLO',&
messageCounter,messageTrigger,modulename)
end if
end if
end if
else !Nf=6
!!betaT is beta-function at mT it is normalized to be 1 at LO
!!betaMU is beta-function at MU it is normalized to be 1 at LO
betaT=1d0+alphaT*3.714285714285714d0
betaMU=1d0+alphaMU*3.714285714285714d0
EffCouplingHFF=1d0
if(orderH_global>=1) then
betaT=betaT+alphaT**2*(-4.642857142857142d0)
betaMU=betaMU+alphaMU**2*(-4.642857142857142d0)
EffCouplingHFF=EffCouplingHFF+alphaT*11d0
if(orderH_global>=2) then
betaT=betaT+alphaT**3*353.1833917971027d0
betaMU=betaMU+alphaMU**3*353.1833917971027d0
EffCouplingHFF=EffCouplingHFF+alphaT**2*87.27777777777777d0
if(orderH_global>=3) then
call Warning_Raise(&
'no NNNLO implementation of Higgs coefficient function (so far). Continue NNLO',&
messageCounter,messageTrigger,modulename)
end if
end if
end if
end if
!evolved coupling is
EffCouplingHFF=betaMU/betaT*EffCouplingHFF
end function EffCouplingHFF
!!! hard coefficeint taken from 1004.3653 up to 3-loop
!!! it is evaluated at mu=Q
function HardCoefficientHIGGS(mu)
real(dp)::HardCoefficientHIGGS,mu,LQ!=Log[Q^2/mu^2]=-2Log[c1]
real(dp)::alpha
!Nf=5 here!
If(usePiresum) then
HardCoefficientHIGGS=1.d0
if(orderH_global>=1) then
LQ=-2d0*LOG(c2_global)
alpha=As(mu*c2_global)
HardCoefficientHIGGS=HardCoefficientHIGGS+alpha*&
(9.869604401089358d0 -6d0*LQ**2)
if(orderH_global>=2) then
HardCoefficientHIGGS=HardCoefficientHIGGS+alpha**2*&
(-23.720599432600856d0 -56.83020488600443d0*LQ -100.66666666666666d0*LQ**2&
+ 15.333333333333334d0*LQ**3 + 18d0*LQ**4)
if(orderH_global>=3) then
call Warning_Raise(&
'no NNNLO implementation of Higgs coefficient function (so far). Continue NNLO',&
messageCounter,messageTrigger,modulename)
end if
end if
end if
HardCoefficientHIGGS=HardCoefficientHIGGS*PiResumFactor_g(alpha)
else
HardCoefficientHIGGS=1.d0
if(orderH_global>=1) then
LQ=-2d0*LOG(c2_global)
alpha=As(mu*c2_global)
HardCoefficientHIGGS=HardCoefficientHIGGS+alpha*&
(69.0872308076255d0 -6d0*LQ**2)
if(orderH_global>=2) then
HardCoefficientHIGGS=HardCoefficientHIGGS+alpha**2*&
(2723.1832155557718d0 -510.83200733611494d0*LQ - 455.9724251058836d0*LQ**2&
+ 15.333333333333334d0*LQ**3 + 18d0*LQ**4)
if(orderH_global>=3) then
call Warning_Raise(&
'no NNNLO implementation of Higgs coefficient function (so far). Continue NNLO',&
messageCounter,messageTrigger,modulename)
end if
end if
end if
end if
end function HardCoefficientHIGGS
!!! factor for resummed pi^2 contributions for HIGGS-process
!!! see [0808.3008]
function PiResumFactor_g(alpha)
real(dp)::PiResumFactor_g
real(dp)::alpha,aa,ArcT,LogA,UU
! Nf=5 everywhere
aa=24.08554367752175d0*alpha ! beta0*pi*alpha
ArcT=2d0*atan(aa)
LogA=Log(1+aa**2)
UU=54d0/529d0/alpha*(aa*ArcT-LogA)
if(orderH_global>=2) then
UU=UU+0.12870880249856168d0*(ArcT**2-LogA**2)+0.19034694944086603d0*LogA
if(orderH_global>=3) then
UU=UU+alpha/(1+aa**2)*(1.0895717932098101d0*aa**2 + 0.989555827234617d0*aa*ArcT &
+ 0.81962496d0*ArcT**2 + 0.05499966723461647d0*LogA - 0.93455616d0*aa**2*LogA &
- 1.63924992d0*aa*ArcT*LogA - 0.81962496*LogA**2)
end if
end if
PiResumFactor_g=Exp(UU)
end function PiResumFactor_g
| 9,038 | 34.034884 | 102 | f90 |
artemide-public | artemide-public-master/src/EWinput.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 1.4
!
! The module defining various QED and electro weak parameters
!
! 14.02.2019 values of ckm matrix are added AV.
!
! AV. 10.06.2018
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module EWinput
use aTMDe_Numerics
use IO_functions
implicit none
private
logical:: started=.false.
integer::outputLevel
character (len=7),parameter :: moduleName="EWinput"
character (len=5),parameter :: version="v2.03"
!Last appropriate verion of constants-file
integer,parameter::inputver=14
real(dp)::massZ,massW,massHIGGS,sW2,cW2
real(dp)::Vckm_UD,Vckm_US,Vckm_CD,Vckm_CS,Vckm_CB,Vckm_UB
public::alphaEM,EWinput_Initialize,EWinput_IsInitialized
!!-Z-gamma DY
real(dp),public::paramU,paramD,paramS,paramC,paramB,paramL,paramL_A
real(dp),public::paramMIXU,paramMIXD,paramMIXS,paramMIXC,paramMIXB,paramMIXL,paramMIXL_A
!!-W DY
real(dp),public::paramW_UD,paramW_US,paramW_UB,paramW_CD,paramW_CS,paramW_CB,paramW_L
!!-EW-boson parameters
real(dp),public::GammaZ2,MZ2
real(dp),public::GammaW2,MW2
!!-Higgs-boson parameters
real(dp),public::MH2,GammaH2,VEVH
!!-Lepton parameters
real(dp),public::massELECTRON,massMUON,massTAU
!!-quark masses parameters (used to compute threashold of running alpha)
real(dp)::massCHARM,massBOTTOM,massTOP
!!alphaQED parameters
real(dp)::alphaZ,alphaZinv,alphaTAUinv !!! these are from constans-file
real(dp)::alphaELECTRONinv,alphaMUONinv,alphaCHARMinv,alphaBOTTOMinv,alphaTOPinv!!! these are calculated in Set_betaQED()
!! running parameters
real(dp)::betaQED !!! this is corrected beta function of qed matched to mZ and mTau threasholds with 1-loop evolution
contains
function EWinput_IsInitialized()
logical::EWinput_IsInitialized
EWinput_IsInitialized=started
end function EWinput_IsInitialized
subroutine EWinput_Initialize(file,prefix)
character(len=*)::file
character(len=*),optional::prefix
character(len=300)::path
logical::initRequired
real(dp)::dummy
integer::FILEver
if(started) return
if(present(prefix)) then
path=trim(adjustl(prefix))//trim(adjustr(file))
else
path=trim(adjustr(file))
end if
OPEN(UNIT=51, FILE=path, ACTION="read", STATUS="old")
!!! Search for output level
call MoveTO(51,'*0 ')
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) FILEver
if(FILEver<inputver) then
write(*,*) 'artemide.'//trim(moduleName)//': const-file version is too old.'
write(*,*) ' Update the const-file with artemide.setup'
write(*,*) ' '
stop
end if
call MoveTO(51,'*p2 ')
read(51,*) outputLevel
if(outputLevel>1) write(*,*) '--------------------------------------------- '
if(outputLevel>1) write(*,*) 'artemide.EWinput: initialization started ... '
!!! check do we need initialisation?
call MoveTO(51,'*2 ')
call MoveTO(51,'*p1 ')
read(51,*) initRequired
if(.not.initRequired) then
if(outputLevel>1) write(*,*)'artemide.EWinput: initialization is not required. '
started=.false.
return
end if
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) alphaZinv
alphaZ=1d0/alphaZinv
call MoveTO(51,'*p2 ')
read(51,*) sW2 !!!!!!!!!!sin^2 theta_W
cw2=1d0-sw2 !!!!!!!!!!cos^2 theta_W
call MoveTO(51,'*p3 ')!!!!CKM matrix
read(51,*) Vckm_UD,Vckm_US,Vckm_UB
read(51,*) Vckm_CD,Vckm_CS,Vckm_CB
call MoveTO(51,'*p4 ')
read(51,*) alphaTAUinv
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) massZ !!!!!!!!!!Z mass
MZ2=massZ**2
call MoveTO(51,'*p2 ')
read(51,*) dummy
GammaZ2=dummy**2 !!!!!!!!!!Z width
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) massW !!!!!!!!!!W mass
MW2=massW**2
call MoveTO(51,'*p2 ')
read(51,*) dummy
GammaW2=dummy**2 !!!!!!!!!!W width
call MoveTO(51,'*D ')
call MoveTO(51,'*p1 ')
read(51,*) massHIGGS !!!!!!!!!!Higgs mass
MH2=massHIGGS**2
call MoveTO(51,'*p2 ')
read(51,*) dummy
GammaH2=dummy**2 !!!!!!!!!!Higgs width
call MoveTO(51,'*p3 ')
read(51,*) VEVH !!!!!!!!!!Higgs VEV
call MoveTO(51,'*E ')
call MoveTO(51,'*p1 ')
read(51,*) massELECTRON !!!!!!!!!!electron mass in GEV
call MoveTO(51,'*p2 ')
read(51,*) massMUON !!!!!!!!!!muon mass in GEV
call MoveTO(51,'*p3 ')
read(51,*) massTAU !!!!!!!!!!tau-lepton mass in GEV
CLOSE (51, STATUS='KEEP')
!!!!! read quark thresholds from the QCD section
OPEN(UNIT=51, FILE=path, ACTION="read", STATUS="old")
call MoveTO(51,'*1 ')!!! QCD section
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) massCHARM
call MoveTO(51,'*p2 ')
read(51,*) massBOTTOM
call MoveTO(51,'*p3 ')
read(51,*) massTOP
CLOSE (51, STATUS='KEEP')
call Set_EWconstants()
call Set_betaQED()
if(outputLevel>0) write(*,*) color('----- arTeMiDe.EWinput '//trim(version)//': .... initialized',c_green)
if(outputLevel>1) write(*,*) ' '
started=.true.
end subroutine EWinput_Initialize
!!!!alpha EM (normalized at MZ as 127^{-1}
!!!! with 1-loop run
function alphaEM(mu)
real(dp)::mu,alphaEM
if(mu>massTOP) then
alphaEM=1d0/(alphaTOPinv+16d0*betaQED*log(mu/massTOP))
else if(mu>massBOTTOM) then
alphaEM=1d0/(alphaZinv+40d0/3d0*betaQED*log(mu/massZ))
else if(mu>massTAU) then
alphaEM=1d0/(alphaTAUinv+38d0/3d0*betaQED*log(mu/massTAU))
else if(mu>massCHARM) then
alphaEM=1d0/(alphaTAUinv+32d0/3d0*betaQED*log(mu/massTAU))
else if(mu>massMUON) then
alphaEM=1d0/(alphaCHARMinv+8d0*betaQED*log(mu/massCHARM))
else if(mu>massELECTRON) then
alphaEM=1d0/(alphaMUONinv+16d0/3d0*betaQED*log(mu/massMUON))
else
alphaEM=1d0/alphaELECTRONinv
end if
end function alphaEM
subroutine Set_EWconstants()
real(dp)::ef,t3
!!!! param is given by
!!!! ((1-2|eq|sw^2)^2+4eq^2sw^4)/(8sw^2cw^2)
!!!! it is 2(gV^2+gA^2) for Z boson.
!!!! paramMIX is given by
!!!! eq(t2-2ef sW^2)/(2sw cW)
!!!! eq*gV for Z boson
!-------------------------------------------------------
!--- Z-boson interaction
!---------------U quark
ef=2d0/3d0
t3=+0.5d0
paramU=((1d0-2d0*Abs(ef)*sW2)**2+4d0*ef**2*sW2**2)/(8d0*sW2*cW2)
paramMIXU=ef*(t3-2d0*ef*sW2)/(2d0*Sqrt(sw2*cw2))
!---------------D-quark
ef=-1d0/3d0
t3=-0.5d0
paramD=((1d0-2d0*Abs(ef)*sW2)**2+4d0*ef**2*sW2**2)/(8d0*sW2*cW2)
paramMIXD=ef*(t3-2d0*ef*sW2)/(2d0*Sqrt(sw2*cw2))
!---------------S-quark
ef=-1d0/3d0
t3=-0.5d0
paramS=((1d0-2d0*Abs(ef)*sW2)**2+4d0*ef**2*sW2**2)/(8d0*sW2*cW2)
paramMIXS=ef*(t3-2d0*ef*sW2)/(2d0*Sqrt(sw2*cw2))
!---------------C-quark
ef=2d0/3d0
t3=+0.5d0
paramC=((1d0-2d0*Abs(ef)*sW2)**2+4d0*ef**2*sW2**2)/(8d0*sW2*cW2)
paramMIXC=ef*(t3-2d0*ef*sW2)/(2d0*Sqrt(sw2*cw2))
!---------------B-quark
ef=-1d0/3d0
t3=-0.5d0
paramB=((1d0-2d0*Abs(ef)*sW2)**2+4d0*ef**2*sW2**2)/(8d0*sW2*cW2)
paramMIXB=ef*(t3-2d0*ef*sW2)/(2d0*Sqrt(sw2*cw2))
!---------------Lepton
ef=-1d0
t3=-0.5d0
paramL=((1d0-2d0*Abs(ef)*sW2)**2+4d0*ef**2*sW2**2)/(8d0*sW2*cW2)
paramMIXL=ef*(t3-2d0*ef*sW2)/(2d0*Sqrt(sw2*cw2))
!!! asymetric combinations
paramL_A=(4d0*Abs(ef)*sW2**2-1)/(8d0*sW2*cW2)
paramMIXL_A=-t3*ef/(2d0*Sqrt(sw2*cw2))
!-------------------------------------------------------
!--- W-boson interaction
paramW_UD=abs(Vckm_UD)**2/(4d0*sW2)
paramW_US=abs(Vckm_US)**2/(4d0*sW2)
paramW_UB=abs(Vckm_UB)**2/(4d0*sW2)
paramW_CD=abs(Vckm_CD)**2/(4d0*sW2)
paramW_CS=abs(Vckm_CS)**2/(4d0*sW2)
paramW_CB=abs(Vckm_CB)**2/(4d0*sW2)
paramW_L=1d0/(4d0*sW2)
end subroutine Set_EWconstants
!!! compute the matched value of QED beta function
!!! It uses alphaZ and alphaTau to determine the beta function of QED with threasholds
!!! the threasholds used
!!! e(+u+d); muon(+s); c; t; b; t;
!!! betaEFF=Neff*beta
!!! beta is almost -1/3pi
!!! Neff=N_leptons+sum_q e_q^2 N_c
!!! Neff= 8/3; 4; 16/3;, 19/3; 20/3; 8
!!!
!!! So fixing at z and tau gives beta=(alpha^{-1}(tau)-alpha^{-1}(Z))/2/(Neff(top<->b) Log[b/MZ]+Neff(b<->tau) Log[tau/b])
!!! this number should be close to -1/3pi
!!!
!!! It also compute threashold values of alpha QED
subroutine Set_betaQED()
real(dp),parameter::betaQED_1loop=-0.1061032953945969d0
real(dp)::deltaB
betaQED=(alphaTAUinv-alphaZinv)/2d0/(20d0/3d0*Log(massBOTTOM/massZ)+19d0/3d0*Log(massTAU/massBOTTOM))
deltaB=betaQED/betaQED_1loop
if(outputLevel>2) write(*,*) " Effective QED beta fuction in fractions of LO:",deltaB
if(abs(deltaB-1d0)>0.05) &
write(*,*) WarningString(' Effective QED beta function 5% deviate from LO. Check boundary setup.',modulename)
alphaTOPinv=alphaZinv+2d0*betaQED*20d0/3d0*log(massTOP/massZ)
alphaBOTTOMinv=alphaZinv+2d0*betaQED*20d0/3d0*log(massBOTTOM/massZ)
!alphaTAUinv !! exact
alphaCHARMinv=alphaTAUinv+2d0*betaQED*16d0/3d0*log(massCHARM/massTAU)
alphaMUONinv=alphaCHARMinv+2d0*betaQED*4d0*log(massMUON/massCHARM)
alphaELECTRONinv=alphaMUONinv+2d0*betaQED*8d0/3d0*log(massELECTRON/massMUON)
if(outputLevel>2) write(*,*) " Theashold values of alpha^(-1) QED (mE,mMU,mC,mTAU,mB,mT):"
if(outputLevel>2) write(*,"(' ',F7.3,',',F7.3,',',F7.3,',',F7.3,',',F7.3,',',F7.3)") &
alphaELECTRONinv,alphaMUONinv,alphaCHARMinv,alphaTAUinv,alphaBOTTOMinv,alphaTOPinv
end subroutine Set_betaQED
end module EWinput
| 9,603 | 29.980645 | 123 | f90 |
artemide-public | artemide-public-master/src/LeptonCutsDY.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 1.4
!
! Evaluation of the leptonic cuts for the DrellYan
!
! if you use this module please, quote 1706.01473
!
! ver 1.0: release (AV, 10.05.2017)
! ver 1.32 update nessacary for parallelisation (AV,17.09.2018)
! ver 1.32 CutFactor4 added, asymetric cuts are introduced (AV,03.12.2018)
! ver.1.4 Deleted old routines. Incapsulated variables (AV. 18.01.2019(
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module LeptonCutsDY
use aTMDe_Numerics
use IO_functions
implicit none
private
! public
!!!Parameters of cut and cross-section
!!!!! this is array =(/ pT1lim,pT2lim,etaMin,etaMax,Exp(2etaMin),exp(2etaMax) /)
real(dp)::cutParam_global(1:6)
!!! number of divisions in Simpsons
integer,parameter::num=64!
!! Tolerance (absolute)
real(dp),parameter::tolerance=0.000001d0
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!! the kinematic variables are passed via an aray
!!! (q_T,Q,y, Q^2 , qt^2/Q^2+qt^2 , Sqrt[Q^2+qT^2] )
public:: SetCutParameters
public:: CutFactor4,CutFactorA
interface SetCutParameters
module procedure SetCutParameters_sym,SetCutParameters_asym
end interface
contains
!SEt parameters of cut
subroutine SetCutParameters_sym(pT_in,etaMin_in,etaMax_in)
real(dp)::pT_in,etaMax_in,etaMin_in
cutParam_global=(/ pT_in**2,&
pT_in**2,&
etaMin_in,&
etaMax_in,&
EXP(2*etaMin_in),&
EXP(2*etaMax_in) /)
end subroutine SetCutParameters_sym
!SEt parameters of cut
! with asymetric cuts for pT
subroutine SetCutParameters_asym(pT1_in,pT2_in,etaMin_in,etaMax_in)
real(dp)::pT1_in,pT2_in,etaMax_in,etaMin_in
!! for definetines we order pt1>pt2
if(pT1_in>=pT2_in) then
cutParam_global=(/ pT1_in**2,&
pT2_in**2,&
etaMin_in,&
etaMax_in,&
EXP(2d0*etaMin_in),&
EXP(2d0*etaMax_in) /)
else
cutParam_global=(/ pT2_in**2,&
pT1_in**2,&
etaMin_in-tolerance,&
etaMax_in+tolerance,&
EXP(2d0*etaMin_in),&
EXP(2d0*etaMax_in) /)
end if
end subroutine SetCutParameters_asym
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!
!! This function survives after many modification of module. For different version of integral evaluation see /history
!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!! Integration is done by more accurate method. Secting the phi-plane, and define the boundaries of eta
!!!! The integal over eta is done exactly
!!!! Unfortunately works only for large enough Q.
!!!! Gives very precise result 10^-5 accuracy
!!!!
!!!! CutParameters = (/ kT1, kT2, etaMin, etaMax /)
function CutFactor4(qT,Q_in,y_in,CutParameters)
real(dp):: qT,CutFactor4,Q_in,y_in
real(dp):: dphi
integer :: i
real(dp),dimension(1:6)::var,varC
real(dp),dimension(1:4),optional,intent(in)::CutParameters
if(present(CutParameters)) then
if(CutParameters(1)>CutParameters(2)) then
varC(1)=CutParameters(1)**2
varC(2)=CutParameters(2)**2
else
varC(1)=CutParameters(2)**2
varC(2)=CutParameters(1)**2
end if
varC(3)=CutParameters(3)
varC(4)=CutParameters(4)
varC(5)=exp(2d0*CutParameters(3))
varC(6)=exp(2d0*CutParameters(4))
else
varC=cutParam_global
end if
var=(/qT,Q_in,y_in,Q_in**2,qT**2/(Q_in**2+qT**2),SQRT(Q_in**2+qT**2)/)
if(varC(3)<varC(4)) then
if(y_in<varC(3) .or. y_in>varC(4)) then
CutFactor4=0d0
else
CutFactor4=0d0
dphi=pix2/num
do i=0,num
CutFactor4=CutFactor4+Simp(i,num)*IntegralOverEtaFixedPhiEXACT(var,varC,i*dphi)
end do
CutFactor4=CutFactor4*dphi/3d0/2d0
end if
else
CutFactor4=0d0
end if
end function CutFactor4
!!!! integral for anti-symmetric part of lepton tensor
function CutFactorA(qT,Q_in,y_in,CutParameters)
real(dp):: qT,CutFactorA,Q_in,y_in
real(dp):: dphi
integer :: i
real(dp),dimension(1:6)::var,varC
real(dp),dimension(1:4),optional,intent(in)::CutParameters
if(present(CutParameters)) then
if(CutParameters(1)>CutParameters(2)) then
varC(1)=CutParameters(1)**2
varC(2)=CutParameters(2)**2
else
varC(1)=CutParameters(2)**2
varC(2)=CutParameters(1)**2
end if
varC(3)=CutParameters(3)
varC(4)=CutParameters(4)
varC(5)=exp(2d0*CutParameters(3))
varC(6)=exp(2d0*CutParameters(4))
else
varC=cutParam_global
end if
var=(/qT,Q_in,y_in,Q_in**2,qT**2/(Q_in**2+qT**2),SQRT(Q_in**2+qT**2)/)
if(varC(3)<varC(4)) then
if(y_in<varC(3) .or. y_in>varC(4)) then
CutFactorA=0d0
else
CutFactorA=0d0
dphi=pix2/num
do i=0,num
CutFactorA=CutFactorA+Simp(i,num)*IntegralOverEtaFixedPhiEXACT_A(var,varC,i*dphi)
end do
CutFactorA=CutFactorA*dphi/3d0/2d0
end if
else
CutFactorA=0d0
end if
end function CutFactorA
!it is the same function as IntegralOverEtaFixedPhi, but the integration is done exactly.
! the boundaries are defined as before
! 1 2 3 4 5 6
! var =(/ qT, Q_in, y_in, Q_in**2, qT**2/(Q_in**2+qT**2), SQRT(Q_in**2+qT**2)/)
! varC=(/ pT1, pT2, etaMin, etaMax, EXP(2*etaMin), EXP(2*etaMax) /)
function IntegralOverEtaFixedPhiEXACT(var,varC,phi)
real(dp),dimension(1:6)::var,varC
real(dp):: IntegralOverEtaFixedPhiEXACT,phi
real(dp)::eta1,eta2
if(Integrand2THETA(var,varC,var(3),phi)==0) then
!!!! Here is the point of assumption!! because if Q~qT the integration region is difficult and the boundaries may be inproper
IntegralOverEtaFixedPhiEXACT=0d0
else
!!lower boundary
eta1=FindBoundary(var,varC,varC(3)-0.0001d0,var(3),phi)
!!upper boundary
eta2=FindBoundary(var,varC,var(3),varC(4)+0.0001d0,phi)
!write(*,*) eta1,eta2
IntegralOverEtaFixedPhiEXACT=var(4)/(16d0*pi)*(&
integralEtaExactUNDEFINED(var(1)*cos(phi),var(6),var(3)-eta2,var(4))&
-integralEtaExactUNDEFINED(var(1)*cos(phi),var(6),var(3)-eta1,var(4)))
end if
end function IntegralOverEtaFixedPhiEXACT
!it is the same function as IntegralOverEtaFixedPhi, but the integration is done exactly.
! the boundaries are defined as before
! 1 2 3 4 5 6
! var =(/ qT, Q_in, y_in, Q_in**2, qT**2/(Q_in**2+qT**2), SQRT(Q_in**2+qT**2)/)
! varC=(/ pT1, pT2, etaMin, etaMax, EXP(2*etaMin), EXP(2*etaMax) /)
!!! ANTI SYMMETRIC ONE!
function IntegralOverEtaFixedPhiEXACT_A(var,varC,phi)
real(dp),dimension(1:6)::var,varC
real(dp):: IntegralOverEtaFixedPhiEXACT_A,phi
real(dp)::eta1,eta2
if(Integrand2THETA(var,varC,var(3),phi)==0) then
!!!! Here is the point of assumption!! because if Q~qT the integration region is difficult and the boundaries may be inproper
IntegralOverEtaFixedPhiEXACT_A=0d0
else
!!lower boundary
eta1=FindBoundary(var,varC,varC(3)-0.0001d0,var(3),phi)
!!upper boundary
eta2=FindBoundary(var,varC,var(3),varC(4)+0.0001d0,phi)
!write(*,*) eta1,eta2
IntegralOverEtaFixedPhiEXACT_A=var(4)/(16d0*pi)*(&
integralEtaExactUNDEFINED_A(var(1)*cos(phi),var(6),var(3)-eta2,var(4))&
-integralEtaExactUNDEFINED_A(var(1)*cos(phi),var(6),var(3)-eta1,var(4)))
end if
end function IntegralOverEtaFixedPhiEXACT_A
!! this is integral over eta exactly evaluated by mathematica. Udefined. (without common factor Q^2/16/pi)
!! it is used in IntegralOverEtaFixedPhiEXACT
!! a = qT cos phi
!! b = Sqrt{Q^2+qT^2}
!! uu = y-eta
function integralEtaExactUNDEFINED(a,b,uu,Q2)
real(dp)::a,b,uu,integralEtaExactUNDEFINED,Q2
real(dp)::w,R,TT,bb
bb=b*b
w=bb-a**2
R=a-b*Cosh(uu)
TT=-b*Sinh(uu)/w/R
integralEtaExactUNDEFINED=2d0*Q2*TT/R**2+a*(6d0*w-5d0*Q2)*TT/w/R&
+(6d0-(18d0*bb+11d0*Q2)/w+15d0*bb*Q2/w**2)*TT&
-6d0*a*(2d0*(3d0*bb+Q2)*w-5d0*bb*Q2)*atan((a+b)/sqrt(w)*tanh(uu/2d0))/w**(3.5d0)
end function integralEtaExactUNDEFINED
!! this is integral over eta exactly evaluated by mathematica. Udefined. (without common factor Q^2/16/pi)
!! it is used in IntegralOverEtaFixedPhiEXACT
!! a = qT cos phi
!! b = Sqrt{Q^2+qT^2}
!! uu = y-eta
!!! ANTI SYMMETRIC ONE!
function integralEtaExactUNDEFINED_A(a,b,uu,Q2)
real(dp)::a,b,uu,integralEtaExactUNDEFINED_A,Q2
integralEtaExactUNDEFINED_A=-6d0/(a-b*Cosh(uu))**2
end function integralEtaExactUNDEFINED_A
!!!!the theta (0 or 1) funciton of the integrand in the coordinates rapidity-angle
!! Search for the boundary of integration between t1 and t2 at fixed phi
!! by devision on 2
! 1 2 3 4 5 6
! var =(/ qT, Q_in, y_in, Q_in**2, qT**2/(Q_in**2+qT**2), SQRT(Q_in**2+qT**2)/)
! varC=(/ pT1, pT2, etaMin, etaMax, EXP(2*etaMin), EXP(2*etaMax) /)
function Integrand2THETA(var,varC,h1,p1)
real(dp),dimension(1:6)::var,varC
real(dp):: h1,p1
integer::Integrand2THETA
real(dp)::cosp1,chhy,l1square,l2square,exp2h2,l1
cosp1=COS(p1)
chhy=COSH(h1-var(3))
l1=var(4)/2d0/(var(6)*chhy-var(1)*cosp1)
l1square=l1**2
l2square=var(1)**2+l1square-2d0*var(1)*l1*cosp1
exp2h2=(EXP(2d0*var(3)+h1)*var(6)-EXP(var(3)+2d0*h1)*l1)/(EXP(h1)*var(6)-EXP(var(3))*l1)
If((l1square>varC(1)).and.(l2square>varC(2)).and.&
(varC(4)>h1).and.(varC(6)>exp2h2).and.&
(h1>varC(3)).and.(exp2h2>varC(5))) then
Integrand2THETA=1
else
Integrand2THETA=0
end if
end function Integrand2THETA
function Simp(i,n)
integer::i,n
real(dp)::Simp
if((i==0).or.(i==n)) then
Simp=1d0
else
if(MOD(i,2)==1) then
Simp=4d0
else
Simp=2d0
end if
end if
end function Simp
!! Search for the boundary of integration between t1 and t2 at fixed phi
!! by devision on 2
! 1 2 3 4 5 6
! var =(/ qT, Q_in, y_in, Q_in**2, qT**2/(Q_in**2+qT**2), SQRT(Q_in**2+qT**2)/)
! varC=(/ pT1, pT2, etaMin, etaMax, EXP(2*etaMin), EXP(2*etaMax) /)
function FindBoundary(var,varC,eta1_in,eta2_in,phi)
real(dp),dimension(1:6)::var,varC
real(dp)::FindBoundary,eta1,eta2,phi,eta3,eta1_in,eta2_in
integer:: v1,v2,v3,i
eta1=eta1_in
eta2=eta2_in
v1=Integrand2THETA(var,varC,eta1,phi)
v2=Integrand2THETA(var,varC,eta2,phi)
if(v1==v2) then
write(*,*) 'ERROR LeptonCuts: problem with boundary evaluation. Probably Q is too close to qT. EVALUATION STOP'
write(*,*) 'Problematic values:'
write(*,*) 'Kinematic: Q=',var(2), 'qT=',var(1),'y=',var(3)
write(*,*) 'Cut params: (pT1,pT2)=(',SQRT(varC(1)),SQRT(varC(2)),'), eta =(',varC(3),varC(4),')'
stop
FindBoundary=(eta1+eta2)/2d0
else
do
eta3=(eta1+eta2)/2d0
v3=Integrand2THETA(var,varC,eta3,phi)
if(v3==v1) then
eta1=eta3
else
eta2=eta3
end if
i=i+1
if (ABS(eta1-eta2)<tolerance) exit
end do
FindBoundary=(eta1+eta2)/2d0
end if
end function FindBoundary
end module LeptonCutsDY
| 11,002 | 29.907303 | 127 | f90 |
artemide-public | artemide-public-master/src/QCDinput.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 2.01
!
! Interface module to the user defined alpha-s, PDF, FF, etc.
! Could be interfaced to LHAPDF
!
! ver.2.0: 28.03.2019 AV
! ver.2.01: 14.06.2019 AV (+lpPDF)
! ver.2.07: 09.11.2021 AV (+g1T)
! A.Vladimirov
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module QCDinput
use aTMDe_Numerics
use IO_functions
implicit none
private
public::QCDinput_Initialize,QCDinput_IsInitialized
public::As,activeNf
public::xPDF,xFF,x_lp_PDF,x_hPDF
public:: QCDinput_SetPDFreplica, QCDinput_SetFFreplica, QCDinput_SetlpPDFreplica,QCDinput_SethPDFreplica
character (len=8),parameter :: moduleName="QCDinput"
!Current version of module
character (len=5),parameter :: version="v2.06"
!Last appropriate verion of constants-file
integer,parameter::inputver=18
!--- general
logical:: started=.false.
integer::outputLevel
real(dp),public::mCHARM,mBOTTOM,mTOP
!---uPDFs
integer::num_of_uPDFs,startPDFindex
integer,allocatable::enumeration_of_uPDFs(:)
!---uFFs
integer::num_of_uFFs,startFFindex
integer,allocatable::enumeration_of_uFFs(:)
!---lpPDFs
integer::num_of_lpPDFs,startlpPDFindex
integer,allocatable::enumeration_of_lpPDFs(:)
!---hPDFs
integer::num_of_hPDFs,start_hPDFindex
integer,allocatable::enumeration_of_hPDFs(:)
!---common
integer,allocatable::current_replicas(:)
contains
function QCDinput_IsInitialized()
logical::QCDinput_IsInitialized
QCDinput_IsInitialized=started
end function QCDinput_IsInitialized
!------------------------------Functions below are to be changed by user (if needed)
subroutine QCDinput_Initialize(file,prefix)
character(len=*)::file
character(len=*),optional::prefix
character(len=300)::path
character(len=64),allocatable::names(:)
integer::i,FILEver
integer,allocatable::replicas(:)
if(started) return
if(present(prefix)) then
path=trim(adjustl(prefix))//trim(adjustr(file))
else
path=trim(adjustr(file))
end if
OPEN(UNIT=51, FILE=path, ACTION="read", STATUS="old")
!!! Search for output level
call MoveTO(51,'*0 ')
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) FILEver
if(FILEver<inputver) then
write(*,*) 'artemide.'//trim(moduleName)//': const-file version is too old.'
write(*,*) ' Update the const-file with artemide.setup'
write(*,*) ' '
stop
end if
call MoveTO(51,'*p2 ')
read(51,*) outputLevel
if(outputLevel>1) write(*,*) '--------------------------------------------- '
if(outputLevel>1) write(*,*) 'artemide.QCDinput: initialization started ... '
!!! Search for QCDinput initialization options
call MoveTO(51,'*1 ')
!!! Search for parameters
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) mCHARM
call MoveTO(51,'*p2 ')
read(51,*) mBOTTOM
call MoveTO(51,'*p3 ')
read(51,*) mTOP
if(outputLevel>2) write(*,*) ' mass of charm : ',mCHARM
if(outputLevel>2) write(*,*) ' mass of bottom: ',mBOTTOM
if(outputLevel>2) write(*,*) ' mass of top : ',mTOP
!!!---------------------------------------- Search for uPDF initialization options
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) num_of_uPDFs
if(num_of_uPDFs>0) then
!! initialization of LHAPDF grids
allocate(enumeration_of_uPDFs(1:num_of_uPDFs))
allocate(names(1:num_of_uPDFs))
allocate(replicas(1:num_of_uPDFs))
call MoveTO(51,'*p2 ')
read(51,*) enumeration_of_uPDFs
call MoveTO(51,'*p3 ')
do i=1,num_of_uPDFs
read(51,*) names(i)
end do
call MoveTO(51,'*p4 ')
read(51,*) replicas
!!! actually initialization
startPDFindex=0
do i=1,num_of_uPDFs
call InitPDFsetByNameM(i+startPDFindex,names(i))
call InitPDFM(i+startPDFindex,replicas(i))
if(outputLevel>2) write(*,"(' uPDF(hadron=',I3,') initialized by : ',A,' (replica= ',I5,')')") &
enumeration_of_uPDFs(i),trim(names(i)),replicas(i)
end do
!!! save initial replicas to the list of replicas
call append_list(current_replicas,replicas)
deallocate(names,replicas)
else
!!! initialization is not needed
if(outputLevel>2) write(*,*)' no uPDFs to initialize...'
end if
!!! -------------------------------------Search for uFF initialization options
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) num_of_uFFs
if(num_of_uFFs>0) then
allocate(enumeration_of_uFFs(1:num_of_uFFs))
allocate(names(1:num_of_uFFs))
allocate(replicas(1:num_of_uFFs))
call MoveTO(51,'*p2 ')
read(51,*) enumeration_of_uFFs
call MoveTO(51,'*p3 ')
do i=1,num_of_uFFs
read(51,*) names(i)
end do
call MoveTO(51,'*p4 ')
read(51,*) replicas
!!! actually initialization
startFFindex=num_of_uPDFs+startPDFindex
do i=1,num_of_uFFs
call InitPDFsetByNameM(startFFindex+i,names(i))
call InitPDFM(startFFindex+i,replicas(i))
if(outputLevel>2) write(*,"(' uFF(hadron=',I3,') initialized by : ',A,' (replica= ',I5,')')") &
enumeration_of_uFFs(i),trim(names(i)),replicas(i)
end do
!!! save initial replicas to the list of replicas
call append_list(current_replicas,replicas)
deallocate(names,replicas)
else
!!! initialization is not needed
if(outputLevel>2) write(*,*)' no uFFs to initialize...'
end if
!!!---------------------------------------- Search for lpPDF initialization options
call MoveTO(51,'*D ')
call MoveTO(51,'*p1 ')
read(51,*) num_of_lpPDFs
if(num_of_lpPDFs>0) then
!! initialization of LHAPDF grids
allocate(enumeration_of_lpPDFs(1:num_of_lpPDFs))
allocate(names(1:num_of_lpPDFs))
allocate(replicas(1:num_of_lpPDFs))
call MoveTO(51,'*p2 ')
read(51,*) enumeration_of_lpPDFs
call MoveTO(51,'*p3 ')
do i=1,num_of_lpPDFs
read(51,*) names(i)
end do
call MoveTO(51,'*p4 ')
read(51,*) replicas
!!! actually initialization
startlpPDFindex=num_of_uFFs+num_of_uPDFs+startPDFindex
do i=1,num_of_lpPDFs
call InitPDFsetByNameM(i+startlpPDFindex,names(i))
call InitPDFM(i+startlpPDFindex,replicas(i))
if(outputLevel>2) write(*,"(' lpPDF(hadron=',I3,') initialized by : ',A,' (replica= ',I5,')')") &
enumeration_of_lpPDFs(i),trim(names(i)),replicas(i)
end do
!!! save initial replicas to the list of replicas
call append_list(current_replicas,replicas)
deallocate(names,replicas)
else
!!! initialization is not needed
if(outputLevel>2) write(*,*)' no lpPDFs to initialize...'
end if
!!!---------------------------------------- Search for hPDF initialization options
call MoveTO(51,'*E ')
call MoveTO(51,'*p1 ')
read(51,*) num_of_hPDFs
if(num_of_hPDFs>0) then
!! initialization of LHAPDF grids
allocate(enumeration_of_hPDFs(1:num_of_hPDFs))
allocate(names(1:num_of_hPDFs))
allocate(replicas(1:num_of_hPDFs))
call MoveTO(51,'*p2 ')
read(51,*) enumeration_of_hPDFs
call MoveTO(51,'*p3 ')
do i=1,num_of_hPDFs
read(51,*) names(i)
end do
call MoveTO(51,'*p4 ')
read(51,*) replicas
!!! actually initialization
start_hPDFindex=num_of_lpPDFs+num_of_uFFs+num_of_uPDFs+startPDFindex
do i=1,num_of_hPDFs
call InitPDFsetByNameM(i+start_hPDFindex,names(i))
call InitPDFM(i+start_hPDFindex,replicas(i))
if(outputLevel>2) write(*,"(' hPDF(hadron=',I3,') initialized by : ',A,' (replica= ',I5,')')") &
enumeration_of_hPDFs(i),trim(names(i)),replicas(i)
end do
!!! save initial replicas to the list of replicas
call append_list(current_replicas,replicas)
deallocate(names,replicas)
else
!!! initialization is not needed
if(outputLevel>2) write(*,*)' no hPDFs to initialize...'
end if
CLOSE (51, STATUS='KEEP')
if(outputLevel>2) write(*,*) "The list of initial PDF replica numbers is :", current_replicas
if(outputLevel>0) write(*,*) color('----- arTeMiDe.QCDinput '//trim(version)//': .... initialized',c_green)
if(outputLevel>1) write(*,*) ' '
started=.true.
end subroutine QCDinput_Initialize
!!!! Add values of listB, to the end of listA
pure subroutine append_list(listA,listB)
integer,allocatable, intent(inout)::listA(:)
integer,intent(in)::listB(:)
integer,allocatable::dummy_list(:)
integer:: isize,i
if(allocated(listA)) then
isize=size(listA)+size(listB)
allocate(dummy_list(1:isize))
do i=1, size(listA)
dummy_list(i)=listA(i)
end do
do i=1, size(listB)
dummy_list(i+size(listA))=listB(i)
end do
deallocate(listA)
call move_alloc(dummy_list,listA)
else
allocate(listA(1:size(listB)))
do i=1, size(listB)
listA(i)=listB(i)
end do
end if
end subroutine append_list
!!! provide the index of grid associated with uPDF(hadron)
function index_of_uPDF(hadron)
integer,intent(in)::hadron
integer::index_of_uPDF
integer::i
if(num_of_uPDFs==0) then
write(*,*) ErrorString('no uPDFs are initialized',moduleName)
stop
else
do i=1,num_of_uPDFs
if(enumeration_of_uPDFs(i)==hadron) then
index_of_uPDF=i+startPDFindex
return
end if
end do
!!! if we exit from the loop it means index is not found
write(*,*) ErrorString('uPDF is not found',moduleName)
write(*,"('no uPDF for hadron ',I3,' is initialized. Set PDF for hadron (',I3,')')") &
hadron,enumeration_of_uPDFs(1)
index_of_uPDF=1+startPDFindex
end if
end function index_of_uPDF
!!! provide the index of grid associated with uFF(hadron)
function index_of_uFF(hadron)
integer,intent(in)::hadron
integer::index_of_uFF
integer::i
if(num_of_uFFs==0) then
write(*,*) ErrorString('no uFFs are initialized',moduleName)
stop
else
do i=1,num_of_uFFs
if(enumeration_of_uFFs(i)==hadron) then
index_of_uFF=i+startFFindex
return
end if
end do
!!! if we exit from the loop it means index is not found
write(*,*) ErrorString('uFF is not found',moduleName)
write(*,"('no uFF for hadron ',I3,' is initialized. Set FF for hadron (',I3,')')") &
hadron,enumeration_of_uPDFs(1)
index_of_uFF=1+startFFindex
end if
end function index_of_uFF
!!! provide the index of grid associated with lpPDF(hadron)
function index_of_lpPDF(hadron)
integer,intent(in)::hadron
integer::index_of_lpPDF
integer::i
if(num_of_lpPDFs==0) then
write(*,*) ErrorString('no lpPDFs are initialized',moduleName)
stop
else
do i=1,num_of_lpPDFs
if(enumeration_of_lpPDFs(i)==hadron) then
index_of_lpPDF=i+startlpPDFindex
return
end if
end do
!!! if we exit from the loop it means index is not found
write(*,*) ErrorString('lpPDF is not found',moduleName)
write(*,"('no lpPDF for hadron ',I3,' is initialized. Set PDF for hadron (',I3,')')") &
hadron,enumeration_of_lpPDFs(1)
index_of_lpPDF=1+startlpPDFindex
end if
end function index_of_lpPDF
!!! provide the index of grid associated with hPDF(hadron)
function index_of_hPDF(hadron)
integer,intent(in)::hadron
integer::index_of_hPDF
integer::i
if(num_of_hPDFs==0) then
write(*,*) ErrorString('no hPDFs are initialized',moduleName)
stop
else
do i=1,num_of_hPDFs
if(enumeration_of_hPDFs(i)==hadron) then
index_of_hPDF=i+start_hPDFindex
return
end if
end do
!!! if we exit from the loop it means index is not found
write(*,*) ErrorString('hPDF is not found',moduleName)
write(*,"('no hPDF for hadron ',I3,' is initialized. Set PDF for hadron (',I3,')')") &
hadron,enumeration_of_hPDFs(1)
index_of_hPDF=1+start_hPDFindex
end if
end function index_of_hPDF
!!! set a different replica of uPDF (pointing to hadron)
!!! check whatever its the same or not.
!!! in the case the replica is same as stored -- does not change PDF (newPDF=false)
!!! in the case the replica is different -- does change PDF (newPDF=true)
subroutine QCDinput_SetPDFreplica(rep,hadron,newPDF)
integer,intent(in):: rep,hadron
logical,intent(out)::newPDF
integer:: num_h
num_h=index_of_uPDF(hadron)
!!! if the number of replica to change coincides with the already used. Do not change it
if(current_replicas(num_h)==rep) then
newPDF=.false.
else
call InitPDFM(num_h,rep)
current_replicas(num_h)=rep
newPDF=.true.
end if
end subroutine QCDinput_SetPDFreplica
!!! set a different replica of uFF (pointing to hadron)
!!! check whatever its the same or not.
!!! in the case the replica is same as stored -- does not change PDF (newPDF=false)
!!! in the case the replica is different -- does change PDF (newPDF=true)
subroutine QCDinput_SetFFreplica(rep,hadron,newPDF)
integer,intent(in):: rep,hadron
logical,intent(out)::newPDF
integer:: num_h
num_h=index_of_uFF(hadron)
!!! if the number of replica to change coincides with the already used. Do not change it
if(current_replicas(num_h)==rep) then
newPDF=.false.
else
call InitPDFM(num_h,rep)
current_replicas(num_h)=rep
newPDF=.true.
end if
end subroutine QCDinput_SetFFreplica
!!! set a different replica of lp_PDF (pointing to hadron)
!!! check whatever its the same or not.
!!! in the case the replica is same as stored -- does not change PDF (newPDF=false)
!!! in the case the replica is different -- does change PDF (newPDF=true)
subroutine QCDinput_SetlpPDFreplica(rep,hadron,newPDF)
integer,intent(in):: rep,hadron
logical,intent(out)::newPDF
integer:: num_h
num_h=index_of_lpPDF(hadron)
!!! if the number of replica to change coincides with the already used. Do not change it
if(current_replicas(num_h)==rep) then
newPDF=.false.
else
call InitPDFM(num_h,rep)
current_replicas(num_h)=rep
newPDF=.true.
end if
end subroutine QCDinput_SetlpPDFreplica
!!! set a different replica of hPDF (pointing to hadron)
!!! check whatever its the same or not.
!!! in the case the replica is same as stored -- does not change PDF (newPDF=false)
!!! in the case the replica is different -- does change PDF (newPDF=true)
subroutine QCDinput_SethPDFreplica(rep,hadron,newPDF)
integer,intent(in):: rep,hadron
logical,intent(out)::newPDF
integer:: num_h
num_h=index_of_hPDF(hadron)
!!! if the number of replica to change coincides with the already used. Do not change it
if(current_replicas(num_h)==rep) then
newPDF=.false.
else
call InitPDFM(num_h,rep)
current_replicas(num_h)=rep
newPDF=.true.
end if
end subroutine QCDinput_SethPDFreplica
!!number of active flavor at given mu
function activeNf(mu)
integer::activeNf
real(dp)::mu
if(mu>mBOTTOM) then
activeNf=5
else if(mu>mCHARM) then
activeNf=4
else
activeNf=3
end if
end function activeNf
!!!!alphas(Q)/4pi
!!! NOT FORGET 4 PI !!!
function As(Q)
real(dp)::as,Q,alphasPDF
As=alphasPDF(Q)/pix4
! as=1d0/(2d0*23d0/3d0*Log(Q/0.08782708014552364d0)) !!! Nf=5 LO solution
end function As
!!!!array of x times PDF(x,Q) for hadron 'hadron'
!!! unpolarized PDF used in uTMDPDF
!!!! array is (-5:5) (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function xPDF(x,Q,hadron)
real(dp),intent(in) :: x,Q
integer,intent(in):: hadron
real(dp), dimension(-5:5):: xPDF
real(dp), dimension (-6:6)::inputPDF
call evolvePDFM(index_of_uPDF(hadron),x,Q,inputPDF)
xPDF=inputPDF(-5:5)
end function xPDF
!!!! return x*F(x,mu)
!!!! enumeration of flavors
!!!! f = -5,-4, -3, -2, -1,0,1,2,3,5,4
!!!! = bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b
!!! unpolarized FF used in uTMDFF
!!!! enumeration of hadrons
function xFF(x,Q,hadron)
integer,intent(in) :: hadron
real(dp),intent(in) :: x,Q
real(dp),dimension(-5:5):: xFF
real(dp), dimension (-6:6)::inputFF
call evolvePDFM(index_of_uFF(hadron),x,Q,inputFF)
xFF=inputFF(-5:5)
end function xFF
!!!!array of x times PDF(x,Q) for hadron 'hadron'
!!! unpolarized PDF used in lpTMDPDF
!!!! array is (-5:5) (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function x_lp_PDF(x,Q,hadron)
real(dp),intent(in) :: x,Q
integer,intent(in):: hadron
real(dp), dimension(-5:5):: x_lp_PDF
real(dp), dimension (-6:6)::inputPDF
call evolvePDFM(index_of_lpPDF(hadron),x,Q,inputPDF)
x_lp_PDF=inputPDF(-5:5)
end function x_lp_PDF
!!!!array of x times PDF(x,Q) for hadron 'hadron'
!!! helicity PDF
!!!! array is (-5:5) (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function x_hPDF(x,Q,hadron)
real(dp),intent(in) :: x,Q
integer,intent(in):: hadron
real(dp), dimension(-5:5):: x_hPDF
real(dp), dimension (-6:6)::inputPDF
call evolvePDFM(index_of_hPDF(hadron),x,Q,inputPDF)
x_hPDF=inputPDF(-5:5)
end function x_hPDF
end module QCDinput
| 17,525 | 29.964664 | 110 | f90 |
artemide-public | artemide-public-master/src/SiversTMDPDF.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 2.0
!
! Evaluation of the Sivers TMD PDF f_{1T}^\perp at low normalization point in zeta-prescription.
!
! if you use this module please, quote 20??.????
!
!
! A.Vladimirov (21.05.2020)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module SiversTMDPDF
use aTMDe_Numerics
use IO_functions
use QCDinput
use SiversTMDPDF_model
implicit none
!------------------------LOCALs -----------------------------------------------
private
!Current version of module
character (len=5),parameter :: version="v2.05"
character (len=12),parameter :: moduleName="SiversTMDPDF"
!Last appropriate verion of constants-file
integer,parameter::inputver=12
!--------------------------------Working variables-----------------------------------------------
!--- general
logical:: started=.false.
!! Level of output
!! 0=only critical
!! 1=initialization details
!! 2=WARNINGS
integer::outputLevel=2
!! variable that count number of WRNING mesagges. In order not to spam too much
integer::messageTrigger=6
!!! The global order which is used in programm
! it is set by SetOrderForC subroutine
! 0=LO, 1=NLO, 2=NNLO
integer :: order_global
integer::lambdaNPlength
real(dp),dimension(:),allocatable::lambdaNP
real(dp),dimension(:),allocatable::lambdaNP_grid !!! this is the value of lambda on which the grid is build
real(dp)::c4_global!!!this is the variation constant for mu_OPE
!!!Parameters of numerics
real(dp) :: tolerance=0.0001d0!!! relative tolerance of the integration
integer :: maxIteration=5000
integer :: counter,messageCounter
INCLUDE 'Code/Twist3/Twist3Convolution-VAR.f90'
INCLUDE 'Code/Grids/TMDGrid-B-VAR.f90'
!!--------------------------------- variables for the griding the TMD.---------------------------------------------
logical :: gridReady!!!!indicator that grid is ready to use. If it is .true., the TMD calculated from the grid
logical :: prepareGrid!!!idicator that grid must be prepared
logical :: withGluon!!!indicator the gluon is needed in the grid
logical :: IsFnpZdependent !!! indicator that the grid must be recalculated with the change of Lambda
!!--------------------------------- variables for hadron composition---------------------------------------------
integer::numberOfHadrons !!!number of hadrons/components
integer,dimension(:),allocatable::hadronsInGRID !!!list of hadron to be pre-grid
logical::IsComposite=.false. !!!flag to use the composite TMD
!!-----------------------------------------------Public interface---------------------------------------------------
public::SiversTMDPDF_Initialize,SiversTMDPDF_SetLambdaNP,SiversTMDPDF_SetScaleVariation,SiversTMDPDF_resetGrid,&
SiversTMDPDF_SetPDFreplica
public::SiversTMDPDF_IsInitialized,SiversTMDPDF_CurrentNPparameters
public::SiversTMDPDF_lowScale5,SiversTMDPDF_lowScale50
! public::CheckCoefficient
! public::mu_OPE
interface SiversTMDPDF_SetLambdaNP
module procedure SiversTMDPDF_SetLambdaNP_usual,SiversTMDPDF_SetReplica_optional
end interface
contains
INCLUDE 'Code/Twist3/Twist3Convolution.f90'
INCLUDE 'Code/Grids/TMDGrid-B-2.f90'
!! Testing the model
INCLUDE 'Code/SiversTMDPDF/modelTest.f90'
!! The convolution interfaces
INCLUDE 'Code/SiversTMDPDF/convolutions.f90'
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Interface subroutines!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
function SiversTMDPDF_IsInitialized()
logical::SiversTMDPDF_IsInitialized
SiversTMDPDF_IsInitialized=started
end function SiversTMDPDF_IsInitialized
!! Initialization of the package
subroutine SiversTMDPDF_Initialize(file,prefix)
character(len=*)::file
character(len=*),optional::prefix
character(len=300)::path,line
logical::initRequired
character(len=8)::orderMain
logical::bSTAR_lambdaDependent
integer::i,FILEver
if(started) return
if(.not.QCDinput_IsInitialized()) then
if(outputLevel>1) write(*,*) '.. initializing QCDinput (from ',moduleName,')'
if(present(prefix)) then
call QCDinput_Initialize(file,prefix)
else
call QCDinput_Initialize(file)
end if
end if
if(present(prefix)) then
path=trim(adjustl(prefix))//trim(adjustr(file))
else
path=trim(adjustr(file))
end if
OPEN(UNIT=51, FILE=path, ACTION="read", STATUS="old")
!!! Search for output level
call MoveTO(51,'*0 ')
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) FILEver
if(FILEver<inputver) then
write(*,*) 'artemide.'//trim(moduleName)//': const-file version is too old.'
write(*,*) ' Update the const-file with artemide.setup'
write(*,*) ' '
stop
end if
call MoveTO(51,'*p2 ')
read(51,*) outputLevel
if(outputLevel>1) write(*,*) '--------------------------------------------- '
if(outputLevel>1) write(*,*) 'artemide.',moduleName,version,': initialization started ... '
call MoveTO(51,'*p3 ')
read(51,*) messageTrigger
call MoveTO(51,'*12 ')
call MoveTO(51,'*p1 ')
read(51,*) initRequired
if(.not.initRequired) then
if(outputLevel>1) write(*,*)'artemide.',moduleName,': initialization is not required. '
started=.false.
return
end if
!----- ORDER
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) orderMain
SELECT CASE(trim(orderMain))
CASE ("NA")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NA',color(" (TMD=fNP)",c_yellow)
order_global=-50
CASE ("LO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: LO'
order_global=0
CASE ("LO+")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: LO+'
order_global=0
CASE DEFAULT
if(outputLevel>0) write(*,*) &
WarningString('Initialize: unknown order for coefficient function. Switch to LO.',moduleName)
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: LO'
order_global=0
END SELECT
if(outputLevel>2 .and. order_global>-1) write(*,'(A,I1)') ' | Coef.func. =as^',order_global
!------ Compositeness
call MoveTO(51,'*p2 ')
read(51,*) IsComposite
if(outputLevel>2) then
if(IsComposite) then
write(*,'(A,I1)') ' | Use compsite =TRUE'
else
write(*,'(A,I1)') ' | Use compsite =FALSE'
end if
end if
!-------------parameters of NP model
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) lambdaNPlength
if(outputLevel>2) write(*,'(A,I3)') ' Number of NP parameters =',lambdaNPlength
if(lambdaNPlength<=0) then
write(*,*) ErrorString('Initialize: number of non-pertrubative &
parameters should be >=1. Check the constants-file. Evaluation STOP',moduleName)
stop
end if
allocate(lambdaNP(1:lambdaNPlength))
call MoveTO(51,'*p2 ')
do i=1,lambdaNPlength
read(51,*) lambdaNP(i)
end do
!-------------Numeric parameters
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) tolerance
call MoveTO(51,'*p2 ')
read(51,*) maxIteration
if(outputLevel>2) then
write(*,'(A,ES10.3)') ' | tolerance =',tolerance
write(*,'(A,ES10.3)') ' | max iteration =',REAL(maxIteration)
end if
!-------------Make grid options
call MoveTO(51,'*D ')
call MoveTO(51,'*p1 ')
read(51,*) prepareGrid
call MoveTO(51,'*p2 ')
read(51,*) withGluon
call MoveTO(51,'*p3 ')
read(51,*) numberOfHadrons
allocate(hadronsInGRID(1:numberOfHadrons))
call MoveTO(51,'*p4 ')
read(51,*) hadronsInGRID
!-------------Parameters of grid
call MoveTO(51,'*E ')
call MoveTO(51,'*p1 ')
read(51,*) xGrid_Min
call MoveTO(51,'*p2 ')
read(51,*) bGrid_Max
call MoveTO(51,'*p3 ')
read(51,*) GridSizeX
call MoveTO(51,'*p4 ')
read(51,*) GridSizeB
call MoveTO(51,'*p5 ')
read(51,*) slope
if(outputLevel>2) then
write(*,*) 'Grid options:'
write(*,'(A,ES10.3)') ' | xGrid_Min =',xGrid_Min
write(*,'(A,ES10.3)') ' | bGrid_Max =',bGrid_Max
write(*,'(A,I6,A,I6,A)') ' | (GridSizeX,GridSizeB) =(',GridSizeX,',',GridSizeB,')'
write(*,'(A,F6.3)') ' | slope =',slope
write(*,'(A,I3)') ' | hadrons to grid =',numberOfHadrons
write(*,*) ' | list of hadrons in grid =(',hadronsInGRID,')'
end if
CLOSE (51, STATUS='KEEP')
allocate(gridMain(0:GridSizeX,0:GridSizeB,-5:5,1:numberOfHadrons))
allocate(boundaryValues(0:GridSizeX,-5:5,1:numberOfHadrons))
allocate(lambdaNP_grid(1:lambdaNPlength))
c4_global=1d0
call ModelInitialization(lambdaNP)
!!!!!!!Checking the lambda-dependance of bSTAR
bSTAR_lambdaDependent=testbSTAR()
if(bSTAR_lambdaDependent) then
if(outputLevel>2) write(*,*) 'arTeMiDe.SiversTMDPDF: bSTAR is dependent on lambda'
else
if(outputLevel>2) write(*,*) 'arTeMiDe.SiversTMDPDF: bSTAR is independent on lambda'
end if
!!! if fnp depende on z or bSTAR depeds on lambda
!!! grid must be recalculate ech time. It canbe saved to single IsFnpZdependent
if(bSTAR_lambdaDependent) then
IsFnpZdependent=.true.
if(outputLevel>2) write(*,*) 'arTeMiDe.SiversTMDPDF: ............. convolution is lambda sensitive.'
end if
started=.true.
messageCounter=0
if(outputLevel>0) write(*,*) color('----- arTeMiDe.SiversTMDPDF '//trim(version)//': .... initialized',c_green)
if(outputLevel>1) write(*,*) ' '
end subroutine SiversTMDPDF_Initialize
!! call for parameters from the model
subroutine SiversTMDPDF_SetReplica_optional(num,buildGrid, gluonRequired)
integer,intent(in):: num
logical,optional,intent(in):: buildGrid,gluonRequired
real(dp),allocatable::NParray(:)
call GetReplicaParameters(num,NParray)
if(present(buildGrid)) then
if(present(gluonRequired)) then
call SiversTMDPDF_SetLambdaNP_usual(NParray,buildGrid=buildGrid,gluonRequired=gluonRequired)
else
call SiversTMDPDF_SetLambdaNP_usual(NParray,buildGrid=buildGrid)
end if
else
if(present(gluonRequired)) then
call SiversTMDPDF_SetLambdaNP_usual(NParray,gluonRequired=gluonRequired)
else
call SiversTMDPDF_SetLambdaNP_usual(NParray)
end if
end if
end subroutine SiversTMDPDF_SetReplica_optional
!! call QCDinput to change the PDF replica number
!! unset the grid, since it should be recalculated fro different PDF replica.
subroutine SiversTMDPDF_SetPDFreplica(rep,hadron)
integer,intent(in):: rep,hadron
if(outputLevel>0) write(*,*) &
WarningString('Cannot change PDF replica. No PDFs for Sivers. NOTHING IS DONE!',moduleName)
end subroutine SiversTMDPDF_SetPDFreplica
!!!Sets the non-pertrubative parameters lambda
!!! carries additionl option to build the grid
!!! if need to build grid, specify the gluon required directive.
subroutine SiversTMDPDF_SetLambdaNP_usual(lambdaIN,buildGrid, gluonRequired)
real(dp),intent(in)::lambdaIN(:)
logical,optional,intent(in) :: buildGrid,gluonRequired
real(dp),dimension(1:lambdaNPlength)::lambdaOLD
logical::IsNewValues
integer::i,ll
messageCounter=0
if(present(buildGrid)) prepareGrid=buildGrid
if(present(gluonRequired)) withGluon=gluonRequired
ll=size(lambdaIN)
if(ll<lambdaNPlength) then
if(outputLevel>0) write(*,"(A,I3,A,I3,')')")&
WarningString('SetLambdaNP:length of lambdaNP(',moduleName),&
ll,color(') is less then requred (',c_red),lambdaNPlength
if(outputLevel>0) write(*,*)color(' Rest parameters are replaced by zeros!',c_red)
lambdaNP=0d0*lambdaNP
lambdaNP(1:ll)=lambdaIN(1:ll)
else if (ll>lambdaNPlength) then
if(outputLevel>0) write(*,"(A,I3,A,I3,')')")&
WarningString('SetLambdaNP:length of lambdaNP(',moduleName),&
ll,color(') is greater then requred (',c_red),lambdaNPlength
if(outputLevel>0) write(*,*)color(' Array is truncated!',c_red)
lambdaNP(1:lambdaNPlength)=lambdaIN(1:lambdaNPlength)
else
lambdaOLD=lambdaNP
lambdaNP=lambdaIN
end if
lambdaOLD=lambdaNP
lambdaNP=lambdaIN
IsNewValues=.false.
do i=1,lambdaNPlength
if(ABS(lambdaNP(i)-lambdaOLD(i))>10d-10) then
IsNewValues=.true.
exit
end if
end do
if(IsNewValues.and.(outputLevel>2)) write(*,*) 'arTeMiDe.',moduleName,': NPparameters reset = (',lambdaNP,')'
call ModelUpdate(lambdaNP)
!! further if's are only for griding
if(prepareGrid) then !!!grid is requred
if(IsNewValues) then !! values are new
if(gridReady) then !!! grid is already build
if(IsFnpZdependent) then !!! check the z-dependance of FNP
!! if it is z- dependent, rebuild the grid
gridReady=.false.
call MakeGrid()
gridReady=.true.
else !!! if z-Independent just do nothing.
if(outputLevel>2) write(*,*) 'arTeMiDe.',moduleName,': the values are to be restored from the initial grid'
end if
else !!! grid is not ready (how comes?)
call MakeGrid()
gridReady=.true.
end if
else !! values are old
if(gridReady) then !!! grid is already build
!!!nothing to do
else!!rare option then parameters are not new but grit is not build
if(outputLevel>2) write(*,*) 'arTeMiDe.',moduleName,': parameters are not reset. But grid is not ready.'
call MakeGrid()
gridReady=.true.
end if
end if
else
gridReady=.false.
end if
end subroutine SiversTMDPDF_SetLambdaNP_usual
!!! returns current value of NP parameters
subroutine SiversTMDPDF_CurrentNPparameters(var)
real(dp),dimension(1:lambdaNPlength),intent(out)::var
var=lambdaNP
end subroutine SiversTMDPDF_CurrentNPparameters
!!! This subroutine ask for the grid reconstruction (or destruction)
subroutine SiversTMDPDF_resetGrid(buildGrid,gluonRequired)
logical,optional,intent(in)::buildGrid,gluonRequired
logical::previousState
if(present(buildGrid)) prepareGrid=buildGrid
if(present(gluonRequired)) withGluon=gluonRequired
previousState=gridReady
gridReady=.false.
!! we recalculate grid only if it was already calculated!
if(prepareGrid .and. previousState) then
if(outputLevel>1) write(*,*) 'arTeMiDe ',moduleName,': Grid Reset. with c4=',c4_global
call MakeGrid()
gridReady=.true.
end if
end subroutine SiversTMDPDF_resetGrid
!!!! this routine set the variations of scales
!!!! it is used for the estimation of errors
subroutine SiversTMDPDF_SetScaleVariation(c4_in)
real(dp),intent(in)::c4_in
if(c4_in<0.1d0 .or. c4_in>10.d0) then
if(outputLevel>0) write(*,*) WarningString('variation in c4 is enourmous. c4 is set to 2',moduleName)
c4_global=2d0
call SiversTMDPDF_resetGrid()
else if(abs(c4_in-c4_global)<tolerance) then
if(outputLevel>1) write(*,*) color('SiversTMDPDF: c4-variation is ignored. c4='//real8ToStr(c4_global),c_yellow)
else
c4_global=c4_in
if(outputLevel>1) write(*,*) color('SiversTMDPDF: set scale variations constant c4 as:'//real8ToStr(c4_global),c_yellow)
call SiversTMDPDF_resetGrid()
end if
end subroutine SiversTMDPDF_SetScaleVariation
end module SiversTMDPDF
| 15,997 | 33.70282 | 128 | f90 |
artemide-public | artemide-public-master/src/TMDF.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 1.41
!
! Evaluation of the TMD structure function
!
! if you use this module please, quote 1706.01473
!
! ver 1.31: release (AV, 30.05.2018)
! ver 1.41: fixed potential bug in the initialisation order (AV, 28.02.2019)
!
! A.Vladimirov (30.05.2018)
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module TMDF
use aTMDe_Numerics
use IO_functions
use TMDs
use EWinput
implicit none
private
! public
character (len=7),parameter :: moduleName="TMDF"
character (len=5),parameter :: version="v2.05"
!Last appropriate verion of constants-file
integer,parameter::inputver=16
!------------------------------------------Tables-----------------------------------------------------------------------
integer,parameter::Nmax=1000
INCLUDE 'Tables/BesselZero1000.f90'
!------------------------------------------Working variables------------------------------------------------------------
integer::outputLevel=2
!! variable that count number of WRNING mesagges. In order not to spam too much
integer::messageTrigger=6
logical::started=.false.
logical:: convergenceLost=.false.
!!!!! I split the qT over runs qT<qTSegmentationBoundary
!!!!! In each segment I have the ogata quadrature with h=hOGATA*hSegmentationWeight
!!!!! It helps to convergen integrals, since h(optimal) ~ qT
integer,parameter::hSegmentationNumber=5
real(dp),dimension(1:hSegmentationNumber),parameter::hSegmentationWeight=(/0.001d0,0.01d0,0.1d0,1d0,5d0/)
real(dp),dimension(1:hSegmentationNumber),parameter::qTSegmentationBoundary=(/0.001d0,0.01d0,0.1d0,1d0,50d0/)
real(dp)::hOGATA,tolerance
!!!weights of ogata quadrature
real(dp),dimension(1:hSegmentationNumber,0:3,1:Nmax)::ww,ww0
!!!nodes of ogata quadrature
real(dp),dimension(1:hSegmentationNumber,0:3,1:Nmax)::bb,bb0
real(dp):: global_mass_scale=0.938_dp
integer::GlobalCounter
integer::CallCounter
integer::MaxCounter
integer::messageCounter
!-----------------------------------------Public interface--------------------------------------------------------------
public::TMDF_Initialize,TMDF_ShowStatistic,TMDF_ResetCounters
public:: TMDF_F
public::TMDF_convergenceISlost,TMDF_IsconvergenceLost,TMDF_IsInitialized
public::Integrand
contains
INCLUDE 'Code/TMDF/Ogata.f90'
function TMDF_IsInitialized()
logical::TMDF_IsInitialized
TMDF_IsInitialized=started
end function TMDF_IsInitialized
!! Initialization of the package
subroutine TMDF_Initialize(file,prefix)
character(len=*)::file
character(len=*),optional::prefix
character(len=300)::path,line
logical::initRequired
integer::FILEver
if(started) return
if(present(prefix)) then
path=trim(adjustl(prefix))//trim(adjustr(file))
else
path=trim(adjustr(file))
end if
OPEN(UNIT=51, FILE=path, ACTION="read", STATUS="old")
!!! Search for output level
call MoveTO(51,'*0 ')
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) FILEver
if(FILEver<inputver) then
write(*,*) 'artemide.'//trim(moduleName)//': const-file version is too old.'
write(*,*) ' Update the const-file with artemide.setup'
write(*,*) ' '
stop
end if
call MoveTO(51,'*p2 ')
read(51,*) outputLevel
if(outputLevel>2) write(*,*) '--------------------------------------------- '
if(outputLevel>2) write(*,*) 'artemide.',moduleName,version,': initialization started ... '
call MoveTO(51,'*p3 ')
read(51,*) messageTrigger
call MoveTO(51,'*7 ')
call MoveTO(51,'*p1 ')
read(51,*) initRequired
if(.not.initRequired) then
if(outputLevel>2) write(*,*)'artemide.',moduleName,': initialization is not required. '
started=.false.
return
end if
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) tolerance
call MoveTO(51,'*p2 ')
read(51,*) hOGATA
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) global_mass_scale
if(outputLevel>2) write(*,'(A,ES8.2)') ' | h for Ogata quadrature : ',hOGATA
if(outputLevel>2) write(*,'(A,ES8.2)') ' | tolerance : ',tolerance
CLOSE (51, STATUS='KEEP')
if(outputLevel>1) write(*,*) 'arTeMiDe.TMDF: preparing Ogata tables'
call PrepareTables()
if(outputLevel>2) write(*,'(A,I4)') ' | Maximum number of nodes :',Nmax
if(outputLevel>1) write(*,*) 'arTeMiDe.TMDF: Ogata tables prepared'
convergenceLost=.false.
GlobalCounter=0
CallCounter=0
MaxCounter=0
messageCounter=0
if(.not.TMDs_IsInitialized()) then
if(outputLevel>1) write(*,*) '.. initializing TMDs (from ',moduleName,')'
if(present(prefix)) then
call TMDs_Initialize(file,prefix)
else
call TMDs_Initialize(file)
end if
end if
if(.not.EWinput_IsInitialized()) then
if(outputLevel>1) write(*,*) '.. initializing EWinput (from ',moduleName,')'
if(present(prefix)) then
call EWinput_Initialize(file,prefix)
else
call EWinput_Initialize(file)
end if
end if
started=.true.
if(outputLevel>0) write(*,*) color('----- arTeMiDe.TMDF '//trim(version)//': .... initialized',c_green)
if(outputLevel>1) write(*,*) ' '
end subroutine TMDF_Initialize
!!!!!!!Functions which carry the trigger on convergences.... Its used in xSec, and probably in other places.
function TMDF_IsconvergenceLost()
logical::TMDF_IsconvergenceLost
!!! checks TMDs trigger
TMDF_IsconvergenceLost=convergenceLost
end function TMDF_IsconvergenceLost
subroutine TMDF_convergenceISlost()
convergenceLost=.true.
if(outputLevel>1) write(*,*) WarningString('convergenceLOST trigger ON',moduleName)
end subroutine TMDF_convergenceISlost
subroutine TMDF_ShowStatistic()
if(convergenceLost) then
write(*,*) ' TMDF statistics: convergence has been lost.'
else
write(*,'(A,ES12.3)') 'TMDF statistics total calls of TMDs : ',Real(2*GlobalCounter)
write(*,'(A,ES12.3)') ' total calls of TMDF_F : ',Real(CallCounter)
write(*,'(A,F12.3)') ' avarage M : ',Real(GlobalCounter)/Real(CallCounter)
write(*,'(A,I12)') ' maximum calls : ',MaxCounter
end if
end subroutine TMDF_ShowStatistic
!passes the NP parameters to TMDs
subroutine TMDF_ResetCounters()
if(outputLevel>2) call TMDF_ShowStatistic()
convergenceLost=.false.
GlobalCounter=0
CallCounter=0
MaxCounter=0
messageCounter=0
end subroutine TMDF_ResetCounters
function Integrand(Q2,b,x1,x2,mu,zeta1,zeta2,process)
real(dp)::Integrand
real(dp)::b,x1,x2,mu,zeta1,zeta2,Q2
integer::process,h
real(dp),dimension(-5:5)::FA,FB,FAB
!increment counter
GlobalCounter=GlobalCounter+1
if(b>1000d0) then
Integrand=0d0
return
end if
SELECT CASE(process)
!!!test case
CASE(0,10000,20000,30000)
Integrand=Exp(-0.2d0*b)
CASE(9999,19999,29999,39999)
Integrand=Exp(-mu*b)*(1d0+x1*b**2+x2*b**4)
CASE(9998,19998,29998,39998)
Integrand=Exp(-mu*b**2)*(1d0+x1*b**2+x2*b**4)
!--------------------------------------------------------------------------------
CASE (1) !pp->gamma
! e_q^2 *F_q(A)*F_qbar(B)
if(zeta1==zeta2) then
FAB=uPDF_uPDF(x1,x2,b,mu,zeta1,1,1)
else
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
FAB=FA*(FB(5:-5:-1))
end if
Integrand=FAB(1)/9.d0&
+FAB(2)*4.d0/9.d0&
+FAB(3)/9.d0&
+FAB(4)*4d0/9.d0&
+FAB(5)/9d0&
+FAB(-1)/9.d0&
+FAB(-2)*4.d0/9.d0&
+FAB(-3)/9.d0&
+FAB(-4)*4d0/9.d0&
+FAB(-5)/9d0
!--------------------------------------------------------------------------------
CASE (2) !ppbar->gamma
! e_q^2 *F_q(A)*F_q(B)
if(zeta1==zeta2) then
FAB=uPDF_anti_uPDF(x1,x2,b,mu,zeta1,1,1)
else
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
FAB=FA*FB
end if
Integrand=FAB(1)/9.d0&
+FAB(2)*4.d0/9.d0&
+FAB(3)/9.d0&
+FAB(4)*4d0/9.d0&
+FAB(5)/9d0&
+FAB(-1)/9.d0&
+FAB(-2)*4.d0/9.d0&
+FAB(-3)/9.d0&
+FAB(-4)*4d0/9.d0&
+FAB(-5)/9d0
!--------------------------------------------------------------------------------
CASE (3) !pp->Z
!((1-2|eq|sw^2)^2+4eq^2sw^4)/(8sw^2cw^2) *F_q(A)*F_qbar(B)
if(zeta1==zeta2) then
FAB=uPDF_uPDF(x1,x2,b,mu,zeta1,1,1)
else
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
FAB=FA*(FB(5:-5:-1))
end if
Integrand=&
FAB(1)*paramD&
+FAB(2)*paramU&
+FAB(3)*paramS&
+FAB(4)*paramC&
+FAB(5)*paramB&
+FAB(-1)*paramD&
+FAB(-2)*paramU&
+FAB(-3)*paramS&
+FAB(-4)*paramC&
+FAB(-5)*paramB
!--------------------------------------------------------------------------------
CASE (4) !ppbar->Z
!((1-2|eq|sw^2)^2+4eq^2sw^4)/(8sw^2cw^2) *F_q(A)*F_qbar(B)
if(zeta1==zeta2) then
FAB=uPDF_anti_uPDF(x1,x2,b,mu,zeta1,1,1)
else
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
FAB=FA*FB
end if
Integrand=&
FAB(1)*paramD&
+FAB(2)*paramU&
+FAB(3)*paramS&
+FAB(4)*paramC&
+FAB(5)*paramB&
+FAB(-1)*paramD&
+FAB(-2)*paramU&
+FAB(-3)*paramS&
+FAB(-4)*paramC&
+FAB(-5)*paramB
!--------------------------------------------------------------------------------
CASE (5) !pp->Z+gamma
if(zeta1==zeta2) then
FAB=uPDF_uPDF(x1,x2,b,mu,zeta1,1,1)
else
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
FAB=FA*(FB(5:-5:-1))
end if
Integrand=XIntegrandForDYwithZgamma(FAB,Q2)
!--------------------------------------------------------------------------------
CASE (6) !ppbar->Z+gamma
if(zeta1==zeta2) then
FAB=uPDF_anti_uPDF(x1,x2,b,mu,zeta1,1,1)
else
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
FAB=FA*FB
end if
!! we invert the order of FB
Integrand=XIntegrandForDYwithZgamma(FAB,Q2)
!--------------------------------------------------------------------------------
CASE (7) !pp-> W+
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
Integrand=paramW_L*(&
paramW_UD*(FA(2)*FB(-1)+FA(-1)*FB(2))& !u*dbar+dbar*u
+paramW_US*(FA(2)*FB(-3)+FA(-3)*FB(2))& !u*sbar+sbar*u
+paramW_UB*(FA(2)*FB(-5)+FA(-5)*FB(2))& !u*bbar+bbar*u
+paramW_CD*(FA(4)*FB(-1)+FA(-1)*FB(4))& !c*dbar+dbar*c
+paramW_CS*(FA(4)*FB(-3)+FA(-3)*FB(4))& !c*sbar+sbar*c
+paramW_CB*(FA(4)*FB(-5)+FA(-5)*FB(4))& !c*bbar+bbar*c
)*Q2*Q2/((Q2-MW2)**2+GammaW2*MW2)
!--------------------------------------------------------------------------------
CASE (8) !pp-> W-
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
Integrand=paramW_L*(&
paramW_UD*(FA(1)*FB(-2)+FA(-2)*FB(1))& !d*ubar+ubar*d
+paramW_US*(FA(3)*FB(-2)+FA(-2)*FB(3))& !s*ubar+ubar*s
+paramW_UB*(FA(5)*FB(-2)+FA(-2)*FB(5))& !b*ubar+ubar*b
+paramW_CD*(FA(1)*FB(-4)+FA(-4)*FB(1))& !d*cbar+cbar*d
+paramW_CS*(FA(3)*FB(-4)+FA(-4)*FB(3))& !s*cbar+cbar*s
+paramW_CB*(FA(5)*FB(-4)+FA(-4)*FB(5))& !b*cbar+cbar*b
)*Q2*Q2/((Q2-MW2)**2+GammaW2*MW2)
!--------------------------------------------------------------------------------
CASE (9) !pp-> W+ + W-
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
Integrand=paramW_L*(&
paramW_UD*(FA(2)*FB(-1)+FA(1)*FB(-2)+FA(-2)*FB(1)+FA(-1)*FB(2))& !u*dbar+d*ubar+ubar*d+dbar*u
+paramW_US*(FA(2)*FB(-3)+FA(3)*FB(-2)+FA(-2)*FB(3)+FA(-3)*FB(2))& !u*sbar+s*ubar+ubar*s+sbar*u
+paramW_UB*(FA(2)*FB(-5)+FA(5)*FB(-2)+FA(-2)*FB(5)+FA(-5)*FB(2))& !u*bbar+b*ubar+ubar*b+bbar*u
+paramW_CD*(FA(4)*FB(-1)+FA(1)*FB(-4)+FA(-4)*FB(1)+FA(-1)*FB(4))& !c*dbar+d*cbar+cbar*d+dbar*c
+paramW_CS*(FA(4)*FB(-3)+FA(3)*FB(-4)+FA(-4)*FB(3)+FA(-3)*FB(4))& !c*sbar+s*cbar+cbar*s+sbar*c
+paramW_CB*(FA(4)*FB(-5)+FA(5)*FB(-4)+FA(-4)*FB(5)+FA(-5)*FB(4))& !c*bbar+b*cbar+cbar*b+bbar*c
)*Q2*Q2/((Q2-MW2)**2+GammaW2*MW2)
!--------------------------------------------------------------------------------
CASE (10) !ppbar-> W+
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
FB=FB(5:-5:-1) !! inverse the quark order
Integrand=paramW_L*(&
paramW_UD*(FA(2)*FB(-1)+FA(-1)*FB(2))& !u*dbar+dbar*u
+paramW_US*(FA(2)*FB(-3)+FA(-3)*FB(2))& !u*sbar+sbar*u
+paramW_UB*(FA(2)*FB(-5)+FA(-5)*FB(2))& !u*bbar+bbar*u
+paramW_CD*(FA(4)*FB(-1)+FA(-1)*FB(4))& !c*dbar+dbar*c
+paramW_CS*(FA(4)*FB(-3)+FA(-3)*FB(4))& !c*sbar+sbar*c
+paramW_CB*(FA(4)*FB(-5)+FA(-5)*FB(4))& !c*bbar+bbar*c
)*Q2*Q2/((Q2-MW2)**2+GammaW2*MW2)
!--------------------------------------------------------------------------------
CASE (11) !ppbar-> W-
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
FB=FB(5:-5:-1) !! inverse the quark order
Integrand=paramW_L*(&
paramW_UD*(FA(1)*FB(-2)+FA(-2)*FB(1))& !d*ubar+ubar*d
+paramW_US*(FA(3)*FB(-2)+FA(-2)*FB(3))& !s*ubar+ubar*s
+paramW_UB*(FA(5)*FB(-2)+FA(-2)*FB(5))& !b*ubar+ubar*b
+paramW_CD*(FA(1)*FB(-4)+FA(-4)*FB(1))& !d*cbar+cbar*d
+paramW_CS*(FA(3)*FB(-4)+FA(-4)*FB(3))& !s*cbar+cbar*s
+paramW_CB*(FA(5)*FB(-4)+FA(-4)*FB(5))& !b*cbar+cbar*b
)*Q2*Q2/((Q2-MW2)**2+GammaW2*MW2)
!--------------------------------------------------------------------------------
CASE (12) !ppbar-> W+ + W-
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
FB=FB(5:-5:-1) !! inverse the quark order
Integrand=paramW_L*(&
paramW_UD*(FA(2)*FB(-1)+FA(1)*FB(-2)+FA(-2)*FB(1)+FA(-1)*FB(2))& !u*dbar+d*ubar+ubar*d+dbar*u
+paramW_US*(FA(2)*FB(-3)+FA(3)*FB(-2)+FA(-2)*FB(3)+FA(-3)*FB(2))& !u*sbar+s*ubar+ubar*s+sbar*u
+paramW_UB*(FA(2)*FB(-5)+FA(5)*FB(-2)+FA(-2)*FB(5)+FA(-5)*FB(2))& !u*bbar+b*ubar+ubar*b+bbar*u
+paramW_CD*(FA(4)*FB(-1)+FA(1)*FB(-4)+FA(-4)*FB(1)+FA(-1)*FB(4))& !c*dbar+d*cbar+cbar*d+dbar*c
+paramW_CS*(FA(4)*FB(-3)+FA(3)*FB(-4)+FA(-4)*FB(3)+FA(-3)*FB(4))& !c*sbar+s*cbar+cbar*s+sbar*c
+paramW_CB*(FA(4)*FB(-5)+FA(5)*FB(-4)+FA(-4)*FB(5)+FA(-5)*FB(4))& !c*bbar+b*cbar+cbar*b+bbar*c
)*Q2*Q2/((Q2-MW2)**2+GammaW2*MW2)
!--------------------------------------------------------------------------------
CASE (13) !pp-> W+
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
Integrand=&
paramW_UD*(FA(2)*FB(-1)+FA(-1)*FB(2))& !u*dbar+dbar*u
+paramW_US*(FA(2)*FB(-3)+FA(-3)*FB(2))& !u*sbar+sbar*u
+paramW_UB*(FA(2)*FB(-5)+FA(-5)*FB(2))& !u*bbar+bbar*u
+paramW_CD*(FA(4)*FB(-1)+FA(-1)*FB(4))& !c*dbar+dbar*c
+paramW_CS*(FA(4)*FB(-3)+FA(-3)*FB(4))& !c*sbar+sbar*c
+paramW_CB*(FA(4)*FB(-5)+FA(-5)*FB(4)) !c*bbar+bbar*c
!--------------------------------------------------------------------------------
CASE (14) !pp-> W-
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
Integrand=&
paramW_UD*(FA(1)*FB(-2)+FA(-2)*FB(1))& !d*ubar+ubar*d
+paramW_US*(FA(3)*FB(-2)+FA(-2)*FB(3))& !s*ubar+ubar*s
+paramW_UB*(FA(5)*FB(-2)+FA(-2)*FB(5))& !b*ubar+ubar*b
+paramW_CD*(FA(1)*FB(-4)+FA(-4)*FB(1))& !d*cbar+cbar*d
+paramW_CS*(FA(3)*FB(-4)+FA(-4)*FB(3))& !s*cbar+cbar*s
+paramW_CB*(FA(5)*FB(-4)+FA(-4)*FB(5)) !b*cbar+cbar*b
!--------------------------------------------------------------------------------
CASE (15) !pp-> W+ + W-
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
Integrand=&
paramW_UD*(FA(2)*FB(-1)+FA(1)*FB(-2)+FA(-2)*FB(1)+FA(-1)*FB(2))& !u*dbar+d*ubar+ubar*d+dbar*u
+paramW_US*(FA(2)*FB(-3)+FA(3)*FB(-2)+FA(-2)*FB(3)+FA(-3)*FB(2))& !u*sbar+s*ubar+ubar*s+sbar*u
+paramW_UB*(FA(2)*FB(-5)+FA(5)*FB(-2)+FA(-2)*FB(5)+FA(-5)*FB(2))& !u*bbar+b*ubar+ubar*b+bbar*u
+paramW_CD*(FA(4)*FB(-1)+FA(1)*FB(-4)+FA(-4)*FB(1)+FA(-1)*FB(4))& !c*dbar+d*cbar+cbar*d+dbar*c
+paramW_CS*(FA(4)*FB(-3)+FA(3)*FB(-4)+FA(-4)*FB(3)+FA(-3)*FB(4))& !c*sbar+s*cbar+cbar*s+sbar*c
+paramW_CB*(FA(4)*FB(-5)+FA(5)*FB(-4)+FA(-4)*FB(5)+FA(-5)*FB(4)) !c*bbar+b*cbar+cbar*b+bbar*c
!--------------------------------------------------------------------------------
CASE (16) !ppbar-> W+
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
FB=FB(5:-5:-1) !! inverse the quark order
Integrand=&
paramW_UD*(FA(2)*FB(-1)+FA(-1)*FB(2))& !u*dbar+dbar*u
+paramW_US*(FA(2)*FB(-3)+FA(-3)*FB(2))& !u*sbar+sbar*u
+paramW_UB*(FA(2)*FB(-5)+FA(-5)*FB(2))& !u*bbar+bbar*u
+paramW_CD*(FA(4)*FB(-1)+FA(-1)*FB(4))& !c*dbar+dbar*c
+paramW_CS*(FA(4)*FB(-3)+FA(-3)*FB(4))& !c*sbar+sbar*c
+paramW_CB*(FA(4)*FB(-5)+FA(-5)*FB(4)) !c*bbar+bbar*c
!--------------------------------------------------------------------------------
CASE (17) !ppbar-> W-
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
FB=FB(5:-5:-1) !! inverse the quark order
Integrand=&
paramW_UD*(FA(1)*FB(-2)+FA(-2)*FB(1))& !d*ubar+ubar*d
+paramW_US*(FA(3)*FB(-2)+FA(-2)*FB(3))& !s*ubar+ubar*s
+paramW_UB*(FA(5)*FB(-2)+FA(-2)*FB(5))& !b*ubar+ubar*b
+paramW_CD*(FA(1)*FB(-4)+FA(-4)*FB(1))& !d*cbar+cbar*d
+paramW_CS*(FA(3)*FB(-4)+FA(-4)*FB(3))& !s*cbar+cbar*s
+paramW_CB*(FA(5)*FB(-4)+FA(-4)*FB(5)) !b*cbar+cbar*b
!--------------------------------------------------------------------------------
CASE (18) !ppbar-> W+ + W-
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
FB=FB(5:-5:-1) !! inverse the quark order
Integrand=&
paramW_UD*(FA(2)*FB(-1)+FA(1)*FB(-2)+FA(-2)*FB(1)+FA(-1)*FB(2))& !u*dbar+d*ubar+ubar*d+dbar*u
+paramW_US*(FA(2)*FB(-3)+FA(3)*FB(-2)+FA(-2)*FB(3)+FA(-3)*FB(2))& !u*sbar+s*ubar+ubar*s+sbar*u
+paramW_UB*(FA(2)*FB(-5)+FA(5)*FB(-2)+FA(-2)*FB(5)+FA(-5)*FB(2))& !u*bbar+b*ubar+ubar*b+bbar*u
+paramW_CD*(FA(4)*FB(-1)+FA(1)*FB(-4)+FA(-4)*FB(1)+FA(-1)*FB(4))& !c*dbar+d*cbar+cbar*d+dbar*c
+paramW_CS*(FA(4)*FB(-3)+FA(3)*FB(-4)+FA(-4)*FB(3)+FA(-3)*FB(4))& !c*sbar+s*cbar+cbar*s+sbar*c
+paramW_CB*(FA(4)*FB(-5)+FA(5)*FB(-4)+FA(-4)*FB(5)+FA(-5)*FB(4)) !c*bbar+b*cbar+cbar*b+bbar*c
!--------------------------------------------------------------------------------
CASE(20) !pp -> Higgs (unpol.part+lin.pol.part)
FA=uTMDPDF_50(x1,b,mu,zeta1,1)
FB=uTMDPDF_50(x2,b,mu,zeta2,1)
Integrand=FA(0)*FB(0) !!!! unpolarized part
FA=lpTMDPDF_50(x1,b,mu,zeta1,1)
FB=lpTMDPDF_50(x2,b,mu,zeta2,1)
Integrand=Integrand+FA(0)*FB(0) !!!! linearly polarized part
!--------------------------------------------------------------------------------
CASE(21) !pp -> Higgs (unpol.part)
FA=uTMDPDF_50(x1,b,mu,zeta1,1)
FB=uTMDPDF_50(x2,b,mu,zeta2,1)
Integrand=FA(0)*FB(0)
!--------------------------------------------------------------------------------
CASE(22) !pp -> Higgs (lin.pol.part)
FA=lpTMDPDF_50(x1,b,mu,zeta1,1)
FB=lpTMDPDF_50(x2,b,mu,zeta2,1)
Integrand=FA(0)*FB(0)
!--------------------------------------------------------------------------------
CASE (101) !p h->gamma
! e_q^2 *F_q(A)*F_qbar(B)
if(zeta1==zeta2) then
FAB=uPDF_uPDF(x1,x2,b,mu,zeta1,2,1)
else
FA=uTMDPDF_5(x1,b,mu,zeta1,2)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
FAB=FA*(FB(5:-5:-1))
end if
Integrand=FAB(1)/9.d0&
+FAB(2)*4.d0/9.d0&
+FAB(3)/9.d0&
+FAB(4)*4d0/9.d0&
+FAB(5)/9d0&
+FAB(-1)/9.d0&
+FAB(-2)*4.d0/9.d0&
+FAB(-3)/9.d0&
+FAB(-4)*4d0/9.d0&
+FAB(-5)/9d0
!--------------------------------------------------------------------------------
CASE (102) !pbar h->gamma
! e_q^2 *F_q(A)*F_q(B)
if(zeta1==zeta2) then
FAB=uPDF_anti_uPDF(x1,x2,b,mu,zeta1,2,1)
else
FA=uTMDPDF_5(x1,b,mu,zeta1,2)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
FAB=FA*FB
end if
!! in fact, we must revert this array, but the coefficients are symmetric
Integrand=FAB(1)/9.d0&
+FAB(2)*4.d0/9.d0&
+FAB(3)/9.d0&
+FAB(4)*4d0/9.d0&
+FAB(5)/9d0&
+FAB(-1)/9.d0&
+FAB(-2)*4.d0/9.d0&
+FAB(-3)/9.d0&
+FAB(-4)*4d0/9.d0&
+FAB(-5)/9d0
!--------------------------------------------------------------------------------
CASE (103) !p hbar->gamma
! e_q^2 *F_q(A)*F_qbar(B)
if(zeta1==zeta2) then
FAB=uPDF_anti_uPDF(x1,x2,b,mu,zeta1,2,1)
else
FA=uTMDPDF_5(x1,b,mu,zeta1,2)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
FAB=FA*FB
end if
!! in fact, we must revert this array, but the coefficients are symmetric
Integrand=FAB(1)/9.d0&
+FAB(2)*4.d0/9.d0&
+FAB(3)/9.d0&
+FAB(4)*4d0/9.d0&
+FAB(5)/9d0&
+FAB(-1)/9.d0&
+FAB(-2)*4.d0/9.d0&
+FAB(-3)/9.d0&
+FAB(-4)*4d0/9.d0&
+FAB(-5)/9d0
!--------------------------------------------------------------------------------
CASE (104) !pbar hbar->gamma
! e_q^2 *F_q(A)*F_q(B)
! e_q^2 *F_q(A)*F_qbar(B)
if(zeta1==zeta2) then
FAB=uPDF_uPDF(x1,x2,b,mu,zeta1,2,1)
else
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,2)
FAB=FA*(FB(5:-5:-1))
end if
Integrand=FAB(1)/9.d0&
+FAB(2)*4.d0/9.d0&
+FAB(3)/9.d0&
+FAB(4)*4d0/9.d0&
+FAB(5)/9d0&
+FAB(-1)/9.d0&
+FAB(-2)*4.d0/9.d0&
+FAB(-3)/9.d0&
+FAB(-4)*4d0/9.d0&
+FAB(-5)/9d0
!--------------------------------------------------------------------------------
CASE (1001) !p+Cu->gamma* !!this is for E288
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
Integrand=116d0/567d0*(FA(2)*FB(-2)+FA(-2)*FB(2))+136d0/567d0*(FA(-2)*FB(1)+FA(2)*FB(-1))&
+34d0/567d0*(FA(-1)*FB(2)+FA(1)*FB(-2))+29d0/567d0*(FA(-1)*FB(1)+FA(1)*FB(-1))&
+1d0/9d0*(FA(-3)*FB(3)+FA(3)*FB(-3)+4d0*FA(-4)*FB(4)+4d0*FA(4)*FB(-4)+FA(-5)*FB(5)+FA(5)*FB(-5))
!--------------------------------------------------------------------------------
CASE (1002) !p+2H->gamma* !!this is for E772
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
Integrand=2d0/9d0*(FA(2)*FB(-2)+FA(-2)*FB(2))+2d0/9d0*(FA(-2)*FB(1)+FA(2)*FB(-1))&
+1d0/18d0*(FA(-1)*FB(2)+FA(1)*FB(-2))+1d0/18d0*(FA(-1)*FB(1)+FA(1)*FB(-1))&
+1d0/9d0*(FA(-3)*FB(3)+FA(3)*FB(-3)+4d0*FA(-4)*FB(4)+4d0*FA(4)*FB(-4)+FA(-5)*FB(5)+FA(5)*FB(-5))
!--------------------------------------------------------------------------------
CASE (1003) !pbar+W->gamma* !!this is for E537
!Wolfram has A=183, Z=74, N=109
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
Integrand=296d0/1647d0*(FA(2)*FB(2)+FA(-2)*FB(-2))+436d0/1647d0*(FA(2)*FB(1)+FA(-2)*FB(-1))&
+109d0/1647d0*(FA(1)*FB(2)+FA(-1)*FB(-2))+74d0/1647d0*(FA(1)*FB(1)+FA(-1)*FB(-1))&
+1d0/9d0*(FA(3)*FB(3)+FA(-3)*FB(-3)+4d0*FA(4)*FB(4)+4d0*FA(-4)*FB(-4)+FA(5)*FB(5)+FA(-5)*FB(-5))
!--------------------------------------------------------------------------------
CASE (1004) !pminus+W->gamma* !!this is for E537
!Wolfram has A=183, Z=74, N=109
FA=uTMDPDF_5(x1,b,mu,zeta1,2)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
Integrand=296d0/1647d0*(FA(-2)*FB(2)+FA(2)*FB(-2))+436d0/1647d0*(FA(-2)*FB(1)+FA(2)*FB(-1))&
+109d0/1647d0*(FA(-1)*FB(2)+FA(1)*FB(-2))+74d0/1647d0*(FA(-1)*FB(1)+FA(1)*FB(-1))&
+1d0/9d0*(FA(-3)*FB(3)+FA(3)*FB(-3)+4d0*FA(-4)*FB(4)+4d0*FA(4)*FB(-4)+FA(-5)*FB(5)+FA(5)*FB(-5))
!----------------------------------------------------------------------------------
!-------------------------SIDIS----------------------------------------------------
!----------------------------------------------------------------------------------
CASE (2001:2009) !p->hN where n=last number
! e_q^2 *F_q(A)*F_q(B)
h=process-2000
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,h)
Integrand=FA(1)*FB(1)/9.d0&
+FA(2)*FB(2)*4.d0/9.d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+FA(-1)*FB(-1)/9.d0&
+FA(-2)*FB(-2)*4.d0/9.d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0
!--------------------------------------------------------------------------------
CASE (2011:2019) !d->hN where n=last number (d=deutron=(p+n)/2)
! e_q^2 *F_q(A)*F_q(B)
h=process-2010
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,h)
Integrand=(FA(1)+FA(2))*(FB(1)+4d0*FB(2))/18d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+(FA(-1)+FA(-2))*(FB(-1)+4d0*FB(-2))/18d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0
!--------------------------------------------------------------------------------
CASE (2021:2029) !p->bar-hN where n=last number
! e_q^2 *F_q(A)*F_bar-q(B)
h=process-2020
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,h)
Integrand=FA(1)*FB(-1)/9.d0&
+FA(2)*FB(-2)*4.d0/9.d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+FA(-1)*FB(1)/9.d0&
+FA(-2)*FB(2)*4.d0/9.d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0
!--------------------------------------------------------------------------------
CASE (2031:2039) !d->bar-hN where n=last number (d=deutron=(p+n)/2)
! e_q^2 *F_q(A)*F_bar-q(B)
h=process-2030
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,h)
Integrand=(FA(1)+FA(2))*(FB(-1)+4d0*FB(-2))/18d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+(FA(-1)+FA(-2))*(FB(1)+4d0*FB(2))/18d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0
!--------------------------------------------------------------------------------
CASE (2041:2049) !n->hN where n=last number (n=neutron=p(u<->d))
! e_q^2 *F_q(A)*F_q(B)
h=process-2040
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,h)
Integrand=FA(2)*FB(1)/9.d0&
+FA(1)*FB(2)*4.d0/9.d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+FA(-2)*FB(-1)/9.d0&
+FA(-1)*FB(-2)*4.d0/9.d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0
!--------------------------------------------------------------------------------
CASE (2051:2059) !n->bar-hN where n=last number (n=neutron=p(u<->d))
! e_q^2 *F_q(A)*F_bar-q(B)
h=process-2050
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,h)
Integrand=FA(2)*FB(-1)/9.d0&
+FA(1)*FB(-2)*4.d0/9.d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+FA(-2)*FB(1)/9.d0&
+FA(-1)*FB(2)*4.d0/9.d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0
!--------------------------------------------------------------------------------
!--------------------------------------------------------------------------------
CASE (2101) !p->h? where h?=h1+h2
! e_q^2 *F_q(A)*F_q(B)
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)
Integrand=FA(1)*FB(1)/9.d0&
+FA(2)*FB(2)*4.d0/9.d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+FA(-1)*FB(-1)/9.d0&
+FA(-2)*FB(-2)*4.d0/9.d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0
!--------------------------------------------------------------------------------
CASE (2102) !p->h? where h?=h1+h2+h3
! e_q^2 *F_q(A)*F_q(B)
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)+uTMDFF_5(x2,b,mu,zeta2,3)
Integrand=FA(1)*FB(1)/9.d0&
+FA(2)*FB(2)*4.d0/9.d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+FA(-1)*FB(-1)/9.d0&
+FA(-2)*FB(-2)*4.d0/9.d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0
!--------------------------------------------------------------------------------
CASE (2103) !d->h? where h?=h1+h2 (d=deutron=(p+n)/2)
! e_q^2 *F_q(A)*F_q(B)
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)
Integrand=(FA(1)+FA(2))*(FB(1)+4d0*FB(2))/18d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+(FA(-1)+FA(-2))*(FB(-1)+4d0*FB(-2))/18d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0
!--------------------------------------------------------------------------------
CASE (2104) !d->h? where h?=h1+h2+h3 (d=deutron=(p+n)/2)
! e_q^2 *F_q(A)*F_q(B)
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)+uTMDFF_5(x2,b,mu,zeta2,3)
Integrand=(FA(1)+FA(2))*(FB(1)+4d0*FB(2))/18d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+(FA(-1)+FA(-2))*(FB(-1)+4d0*FB(-2))/18d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0
!--------------------------------------------------------------------------------
CASE (2105) !n->h? where h?=h1+h2 (n=neutron=p(u<->d))
! e_q^2 *F_q(A)*F_q(B)
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)
Integrand=FA(2)*FB(1)/9.d0&
+FA(1)*FB(2)*4.d0/9.d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+FA(-2)*FB(-1)/9.d0&
+FA(-1)*FB(-2)*4.d0/9.d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0
!--------------------------------------------------------------------------------
CASE (2106) !n->h? where h?=h1+h2+h3 (n=neutron=p(u<->d))
! e_q^2 *F_q(A)*F_q(B)
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)+uTMDFF_5(x2,b,mu,zeta2,3)
Integrand=FA(2)*FB(1)/9.d0&
+FA(1)*FB(2)*4.d0/9.d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+FA(-2)*FB(-1)/9.d0&
+FA(-1)*FB(-2)*4.d0/9.d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0
!------------------------------------------------------------------------------------
CASE (2111) !p->bar h? where h?=h1+h2
! e_q^2 *F_q(A)*F_bq(B)
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)
Integrand=FA(1)*FB(-1)/9.d0&
+FA(2)*FB(-2)*4.d0/9.d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+FA(-1)*FB(1)/9.d0&
+FA(-2)*FB(2)*4.d0/9.d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0
!--------------------------------------------------------------------------------
CASE (2112) !p->bar h? where h?=h1+h2+h3
! e_q^2 *F_q(A)*F_bq(B)
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)+uTMDFF_5(x2,b,mu,zeta2,3)
Integrand=FA(1)*FB(-1)/9.d0&
+FA(2)*FB(-2)*4.d0/9.d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+FA(-1)*FB(1)/9.d0&
+FA(-2)*FB(2)*4.d0/9.d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0
!--------------------------------------------------------------------------------
CASE (2113) !d->bar h? where h?=h1+h2 (d=deutron=(p+n)/2)
! e_q^2 *F_q(A)*F_bq(B)
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)
Integrand=(FA(1)+FA(2))*(FB(-1)+4d0*FB(-2))/18d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+(FA(-1)+FA(-2))*(FB(1)+4d0*FB(2))/18d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0
!--------------------------------------------------------------------------------
CASE (2114) !d->bar h? where h?=h1+h2+h3 (d=deutron=(p+n)/2)
! e_q^2 *F_q(A)*F_bq(B)
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)+uTMDFF_5(x2,b,mu,zeta2,3)
Integrand=(FA(1)+FA(2))*(FB(-1)+4d0*FB(-2))/18d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+(FA(-1)+FA(-2))*(FB(1)+4d0*FB(2))/18d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0
!------------------------------------------------------------------------------------
CASE (2115) !n->bar h? where h?=h1+h2 (n=neutron=p(u<->d))
! e_q^2 *F_q(A)*F_bq(B)
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)
Integrand=FA(2)*FB(-1)/9.d0&
+FA(1)*FB(-2)*4.d0/9.d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+FA(-2)*FB(1)/9.d0&
+FA(-1)*FB(2)*4.d0/9.d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0
!--------------------------------------------------------------------------------
CASE (2116) !n->bar h? where h?=h1+h2+h3 (n=neutron=p(u<->d))
! e_q^2 *F_q(A)*F_bq(B)
FA=uTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)+uTMDFF_5(x2,b,mu,zeta2,3)
Integrand=FA(2)*FB(-1)/9.d0&
+FA(1)*FB(-2)*4.d0/9.d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+FA(-2)*FB(1)/9.d0&
+FA(-1)*FB(2)*4.d0/9.d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0
!----------------------------------------------------------------------------------------------------------------------------------
!-----------------------------------------------------Sivers asymetries------------------------------------------------------------
!----------------------------------------------------------------------------------------------------------------------------------
!--------------------------------------------------------------------------------
CASE (10001) !pp->gamma
! e_q^2 *F_q(A)*F_qbar(B)
FA=-SiversTMDPDF_5(x1,b,mu,zeta1,1) !!!! -1 is due to definition of Sivers function (+1) for SIDIS (-1) for DY
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
FAB=FA*(FB(5:-5:-1))
Integrand=-global_mass_scale*(&
FAB(1)/9.d0&
+FAB(2)*4.d0/9.d0&
+FAB(3)/9.d0&
+FAB(4)*4d0/9.d0&
+FAB(5)/9d0&
+FAB(-1)/9.d0&
+FAB(-2)*4.d0/9.d0&
+FAB(-3)/9.d0&
+FAB(-4)*4d0/9.d0&
+FAB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (10005) !pp->Z+gamma
FA=-SiversTMDPDF_5(x1,b,mu,zeta1,1) !!!! -1 is due to definition of Sivers function (+1) for SIDIS (-1) for DY
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
FAB=FA*(FB(5:-5:-1))
Integrand=-global_mass_scale*XIntegrandForDYwithZgamma(FAB,Q2)
!--------------------------------------------------------------------------------
CASE (10007) !pp-> W+
FA=-SiversTMDPDF_5(x1,b,mu,zeta1,1) !!!! -1 is due to definition of Sivers function (+1) for SIDIS (-1) for DY
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
Integrand=-global_mass_scale*paramW_L*(&
paramW_UD*(FA(2)*FB(-1)+FA(-1)*FB(2))& !u*dbar+dbar*u
+paramW_US*(FA(2)*FB(-3)+FA(-3)*FB(2))& !u*sbar+sbar*u
+paramW_UB*(FA(2)*FB(-5)+FA(-5)*FB(2))& !u*bbar+bbar*u
+paramW_CD*(FA(4)*FB(-1)+FA(-1)*FB(4))& !c*dbar+dbar*c
+paramW_CS*(FA(4)*FB(-3)+FA(-3)*FB(4))& !c*sbar+sbar*c
+paramW_CB*(FA(4)*FB(-5)+FA(-5)*FB(4))& !c*bbar+bbar*c
)*Q2*Q2/((Q2-MW2)**2+GammaW2*MW2)
!--------------------------------------------------------------------------------
CASE (10008) !pp-> W-
FA=-SiversTMDPDF_5(x1,b,mu,zeta1,1) !!!! -1 is due to definition of Sivers function (+1) for SIDIS (-1) for DY
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
Integrand=-global_mass_scale*paramW_L*(&
paramW_UD*(FA(1)*FB(-2)+FA(-2)*FB(1))& !d*ubar+ubar*d
+paramW_US*(FA(3)*FB(-2)+FA(-2)*FB(3))& !s*ubar+ubar*s
+paramW_UB*(FA(5)*FB(-2)+FA(-2)*FB(5))& !b*ubar+ubar*b
+paramW_CD*(FA(1)*FB(-4)+FA(-4)*FB(1))& !d*cbar+cbar*d
+paramW_CS*(FA(3)*FB(-4)+FA(-4)*FB(3))& !s*cbar+cbar*s
+paramW_CB*(FA(5)*FB(-4)+FA(-4)*FB(5))& !b*cbar+cbar*b
)*Q2*Q2/((Q2-MW2)**2+GammaW2*MW2)
!--------------------------------------------------------------------------------
CASE (10101) !h+p(s)->gamma
! e_q^2 *F_q(A)*F_qbar(B)
FA=uTMDPDF_5(x1,b,mu,zeta2,2)
FB=-SiversTMDPDF_5(x2,b,mu,zeta1,1) !!!! -1 is due to definition of Sivers function (+1) for SIDIS (-1) for DY
FAB=FA*(FB(5:-5:-1))
!!!! extra factor -1 (total +1) is due to definition of Sivers, h1+h2(s)=-h1(s)+h2
Integrand=+global_mass_scale*(&
FAB(1)/9.d0&
+FAB(2)*4.d0/9.d0&
+FAB(3)/9.d0&
+FAB(4)*4d0/9.d0&
+FAB(5)/9d0&
+FAB(-1)/9.d0&
+FAB(-2)*4.d0/9.d0&
+FAB(-3)/9.d0&
+FAB(-4)*4d0/9.d0&
+FAB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (10102) !h + pbar(s)-> gamma
! e_q^2 *F_q(A)*F_q(B)
FA=uTMDPDF_5(x1,b,mu,zeta2,2)
FB=-SiversTMDPDF_5(x2,b,mu,zeta1,1) !!!! -1 is due to definition of Sivers function (+1) for SIDIS (-1) for DY
FAB=FA*FB
!!!! extra factor -1 (total +1) is due to definition of Sivers, h1+h2(s)=-h1(s)+h2
Integrand=+global_mass_scale*(&
FAB(1)/9.d0&
+FAB(2)*4.d0/9.d0&
+FAB(3)/9.d0&
+FAB(4)*4d0/9.d0&
+FAB(5)/9d0&
+FAB(-1)/9.d0&
+FAB(-2)*4.d0/9.d0&
+FAB(-3)/9.d0&
+FAB(-4)*4d0/9.d0&
+FAB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (10103) !hbar + p(s) -> gamma
! e_q^2 *F_qbar(A)*F_qbar(B)
FA=uTMDPDF_5(x1,b,mu,zeta2,2)
FB=-SiversTMDPDF_5(x2,b,mu,zeta1,1) !!!! -1 is due to definition of Sivers function (+1) for SIDIS (-1) for DY
FAB=FA*FB
!!!! extra factor -1 (total +1) is due to definition of Sivers, h1+h2(s)=-h1(s)+h2
Integrand=+global_mass_scale*(&
FAB(1)/9.d0&
+FAB(2)*4.d0/9.d0&
+FAB(3)/9.d0&
+FAB(4)*4d0/9.d0&
+FAB(5)/9d0&
+FAB(-1)/9.d0&
+FAB(-2)*4.d0/9.d0&
+FAB(-3)/9.d0&
+FAB(-4)*4d0/9.d0&
+FAB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (10104) !hbar + pbar(s) ->gamma
! e_q^2 *F_qbar(A)*F_q(B)
FA=uTMDPDF_5(x1,b,mu,zeta2,2)
FA=-SiversTMDPDF_5(x2,b,mu,zeta1,1) !!!! -1 is due to definition of Sivers function (+1) for SIDIS (-1) for DY
FAB=(FA(5:-5:-1))*FB
!!!! extra factor -1 (total +1) is due to definition of Sivers, h1+h2(s)=-h1(s)+h2
Integrand=+global_mass_scale*(&
FAB(1)/9.d0&
+FAB(2)*4.d0/9.d0&
+FAB(3)/9.d0&
+FAB(4)*4d0/9.d0&
+FAB(5)/9d0&
+FAB(-1)/9.d0&
+FAB(-2)*4.d0/9.d0&
+FAB(-3)/9.d0&
+FAB(-4)*4d0/9.d0&
+FAB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (12001:12009) !Sivers asymmetry p->hN where n=last number
! e_q^2 *F_q(A)*F_q(B)
h=process-12000
FA=SiversTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,h)
Integrand=-global_mass_scale*(&
FA(1)*FB(1)/9.d0&
+FA(2)*FB(2)*4.d0/9.d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+FA(-1)*FB(-1)/9.d0&
+FA(-2)*FB(-2)*4.d0/9.d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (12011:12019) !Sivers asymmetry d->hN where n=last number (d=deutron=(p+n)/2)
! e_q^2 *F_q(A)*F_q(B)
h=process-12010
FA=SiversTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,h)
Integrand=-global_mass_scale*(&
(FA(1)+FA(2))*(FB(1)+4d0*FB(2))/18d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+(FA(-1)+FA(-2))*(FB(-1)+4d0*FB(-2))/18d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (12021:12029) !Sivers asymmetry p->bar-hN where n=last number
! e_q^2 *F_q(A)*F_bar-q(B)
h=process-12020
FA=SiversTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,h)
Integrand=-global_mass_scale*(&
FA(1)*FB(-1)/9.d0&
+FA(2)*FB(-2)*4.d0/9.d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+FA(-1)*FB(1)/9.d0&
+FA(-2)*FB(2)*4.d0/9.d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0)
!--------------------------------------------------------------------------------
CASE (12031:12039) !Sivers asymmetry d->bar-hN where n=last number (d=deutron=(p+n)/2)
! e_q^2 *F_q(A)*F_bar-q(B)
h=process-12030
FA=SiversTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,h)
Integrand=-global_mass_scale*(&
(FA(1)+FA(2))*(FB(-1)+4d0*FB(-2))/18d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+(FA(-1)+FA(-2))*(FB(1)+4d0*FB(2))/18d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0)
!--------------------------------------------------------------------------------
CASE (12041:12049) !Sivers asymmetry p->hN where n=last number (n=neutron=p(u<->d))
! e_q^2 *F_q(A)*F_q(B)
h=process-12040
FA=SiversTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,h)
Integrand=-global_mass_scale*(&
FA(2)*FB(1)/9.d0&
+FA(1)*FB(2)*4.d0/9.d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+FA(-2)*FB(-1)/9.d0&
+FA(-1)*FB(-2)*4.d0/9.d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (12051:12059) !Sivers asymmetry p->bar-hN where n=last number (n=neutron=p(u<->d))
! e_q^2 *F_q(A)*F_bar-q(B)
h=process-12050
FA=SiversTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,h)
Integrand=-global_mass_scale*(&
FA(2)*FB(-1)/9.d0&
+FA(1)*FB(-2)*4.d0/9.d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+FA(-2)*FB(1)/9.d0&
+FA(-1)*FB(2)*4.d0/9.d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0)
!--------------------------------------------------------------------------------
!--------------------------------------------------------------------------------
CASE (12101) !p->h? where h?=h1+h2
! e_q^2 *F_q(A)*F_q(B)
FA=SiversTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)
Integrand=-global_mass_scale*(&
FA(1)*FB(1)/9.d0&
+FA(2)*FB(2)*4.d0/9.d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+FA(-1)*FB(-1)/9.d0&
+FA(-2)*FB(-2)*4.d0/9.d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (12102) !p->h? where h?=h1+h2+h3
! e_q^2 *F_q(A)*F_q(B)
FA=SiversTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)+uTMDFF_5(x2,b,mu,zeta2,3)
Integrand=-global_mass_scale*(&
FA(1)*FB(1)/9.d0&
+FA(2)*FB(2)*4.d0/9.d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+FA(-1)*FB(-1)/9.d0&
+FA(-2)*FB(-2)*4.d0/9.d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (12103) !d->h? where h?=h1+h2 (d=deutron=(p+n)/2)
! e_q^2 *F_q(A)*F_q(B)
FA=SiversTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)
Integrand=-global_mass_scale*(&
(FA(1)+FA(2))*(FB(1)+4d0*FB(2))/18d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+(FA(-1)+FA(-2))*(FB(-1)+4d0*FB(-2))/18d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (12104) !d->h? where h?=h1+h2+h3 (d=deutron=(p+n)/2)
! e_q^2 *F_q(A)*F_q(B)
FA=SiversTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)+uTMDFF_5(x2,b,mu,zeta2,3)
Integrand=-global_mass_scale*(&
(FA(1)+FA(2))*(FB(1)+4d0*FB(2))/18d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+(FA(-1)+FA(-2))*(FB(-1)+4d0*FB(-2))/18d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (12105) !n->h? where h?=h1+h2 (n=neutron=p(u<->d))
! e_q^2 *F_q(A)*F_q(B)
FA=SiversTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)
Integrand=-global_mass_scale*(&
FA(2)*FB(1)/9.d0&
+FA(1)*FB(2)*4.d0/9.d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+FA(-2)*FB(-1)/9.d0&
+FA(-1)*FB(-2)*4.d0/9.d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (12106) !n->h? where h?=h1+h2+h3 (n=neutron=p(u<->d))
! e_q^2 *F_q(A)*F_q(B)
FA=SiversTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)+uTMDFF_5(x2,b,mu,zeta2,3)
Integrand=-global_mass_scale*(&
FA(2)*FB(1)/9.d0&
+FA(1)*FB(2)*4.d0/9.d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+FA(-2)*FB(-1)/9.d0&
+FA(-1)*FB(-2)*4.d0/9.d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0)
!------------------------------------------------------------------------------------
CASE (12111) !p->bar h? where h?=h1+h2
! e_q^2 *F_q(A)*F_bq(B)
FA=SiversTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)
Integrand=-global_mass_scale*(&
FA(1)*FB(-1)/9.d0&
+FA(2)*FB(-2)*4.d0/9.d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+FA(-1)*FB(1)/9.d0&
+FA(-2)*FB(2)*4.d0/9.d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0)
!--------------------------------------------------------------------------------
CASE (12112) !p->bar h? where h?=h1+h2+h3
! e_q^2 *F_q(A)*F_bq(B)
FA=SiversTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)+uTMDFF_5(x2,b,mu,zeta2,3)
Integrand=-global_mass_scale*(&
FA(1)*FB(-1)/9.d0&
+FA(2)*FB(-2)*4.d0/9.d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+FA(-1)*FB(1)/9.d0&
+FA(-2)*FB(2)*4.d0/9.d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0)
!--------------------------------------------------------------------------------
CASE (12113) !d->bar h? where h?=h1+h2 (d=deutron=(p+n)/2)
! e_q^2 *F_q(A)*F_bq(B)
FA=SiversTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)
Integrand=-global_mass_scale*(&
(FA(1)+FA(2))*(FB(-1)+4d0*FB(-2))/18d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+(FA(-1)+FA(-2))*(FB(1)+4d0*FB(2))/18d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0)
!--------------------------------------------------------------------------------
CASE (12114) !d->bar h? where h?=h1+h2+h3 (d=deutron=(p+n)/2)
! e_q^2 *F_q(A)*F_bq(B)
FA=SiversTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)+uTMDFF_5(x2,b,mu,zeta2,3)
Integrand=-global_mass_scale*(&
(FA(1)+FA(2))*(FB(-1)+4d0*FB(-2))/18d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+(FA(-1)+FA(-2))*(FB(1)+4d0*FB(2))/18d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0)
!------------------------------------------------------------------------------------
CASE (12115) !n->bar h? where h?=h1+h2 (n=neutron=p(u<->d))
! e_q^2 *F_q(A)*F_bq(B)
FA=SiversTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)
Integrand=-global_mass_scale*(&
FA(2)*FB(-1)/9.d0&
+FA(1)*FB(-2)*4.d0/9.d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+FA(-2)*FB(1)/9.d0&
+FA(-1)*FB(2)*4.d0/9.d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0)
!--------------------------------------------------------------------------------
CASE (12116) !n->bar h? where h?=h1+h2+h3 (n=neutron=p(u<->d))
! e_q^2 *F_q(A)*F_bq(B)
FA=SiversTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)+uTMDFF_5(x2,b,mu,zeta2,3)
Integrand=-global_mass_scale*(&
FA(2)*FB(-1)/9.d0&
+FA(1)*FB(-2)*4.d0/9.d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+FA(-2)*FB(1)/9.d0&
+FA(-1)*FB(2)*4.d0/9.d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0)
!--------------------------------------------------------------------------------
!----------------------------------WGT-related asymetries------------------------
!-------------------------------------------------------------------------------
!---------------------------------SIDIS-----------------------------------------
CASE (13001:13009) !A_LT asymmetry p->hN where n=last number
! e_q^2 *F_q(A)*F_q(B)
h=process-13000
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,h)
Integrand=+global_mass_scale*(&
FA(1)*FB(1)/9.d0&
+FA(2)*FB(2)*4.d0/9.d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+FA(-1)*FB(-1)/9.d0&
+FA(-2)*FB(-2)*4.d0/9.d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (13011:13019) !A_LT asymmetry d->hN where n=last number (d=deutron=(p+n)/2)
! e_q^2 *F_q(A)*F_q(B)
h=process-13010
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,h)
Integrand=+global_mass_scale*(&
(FA(1)+FA(2))*(FB(1)+4d0*FB(2))/18d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+(FA(-1)+FA(-2))*(FB(-1)+4d0*FB(-2))/18d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (13021:13029) !A_LT asymmetry p->bar-hN where n=last number
! e_q^2 *F_q(A)*F_bar-q(B)
h=process-13020
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,h)
Integrand=+global_mass_scale*(&
FA(1)*FB(-1)/9.d0&
+FA(2)*FB(-2)*4.d0/9.d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+FA(-1)*FB(1)/9.d0&
+FA(-2)*FB(2)*4.d0/9.d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0)
!--------------------------------------------------------------------------------
CASE (13031:13039) !A_LT asymmetry d->bar-hN where n=last number (d=deutron=(p+n)/2)
! e_q^2 *F_q(A)*F_bar-q(B)
h=process-13030
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,h)
Integrand=+global_mass_scale*(&
(FA(1)+FA(2))*(FB(-1)+4d0*FB(-2))/18d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+(FA(-1)+FA(-2))*(FB(1)+4d0*FB(2))/18d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0)
!--------------------------------------------------------------------------------
CASE (13041:13049) !A_LT asymmetry p->hN where n=last number (n=neutron=p(u<->d))
! e_q^2 *F_q(A)*F_q(B)
h=process-13040
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,h)
Integrand=+global_mass_scale*(&
FA(2)*FB(1)/9.d0&
+FA(1)*FB(2)*4.d0/9.d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+FA(-2)*FB(-1)/9.d0&
+FA(-1)*FB(-2)*4.d0/9.d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (13051:13059) !A_LT asymmetry p->bar-hN where n=last number (n=neutron=p(u<->d))
! e_q^2 *F_q(A)*F_bar-q(B)
h=process-13050
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,h)
Integrand=+global_mass_scale*(&
FA(2)*FB(-1)/9.d0&
+FA(1)*FB(-2)*4.d0/9.d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+FA(-2)*FB(1)/9.d0&
+FA(-1)*FB(2)*4.d0/9.d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0)
!--------------------------------------------------------------------------------
!--------------------------------------------------------------------------------
CASE (13101) !p->h? where h?=h1+h2
! e_q^2 *F_q(A)*F_q(B)
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)
Integrand=+global_mass_scale*(&
FA(1)*FB(1)/9.d0&
+FA(2)*FB(2)*4.d0/9.d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+FA(-1)*FB(-1)/9.d0&
+FA(-2)*FB(-2)*4.d0/9.d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (13102) !p->h? where h?=h1+h2+h3
! e_q^2 *F_q(A)*F_q(B)
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)+uTMDFF_5(x2,b,mu,zeta2,3)
Integrand=+global_mass_scale*(&
FA(1)*FB(1)/9.d0&
+FA(2)*FB(2)*4.d0/9.d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+FA(-1)*FB(-1)/9.d0&
+FA(-2)*FB(-2)*4.d0/9.d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (13103) !d->h? where h?=h1+h2 (d=deutron=(p+n)/2)
! e_q^2 *F_q(A)*F_q(B)
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)
Integrand=+global_mass_scale*(&
(FA(1)+FA(2))*(FB(1)+4d0*FB(2))/18d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+(FA(-1)+FA(-2))*(FB(-1)+4d0*FB(-2))/18d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (13104) !d->h? where h?=h1+h2+h3 (d=deutron=(p+n)/2)
! e_q^2 *F_q(A)*F_q(B)
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)+uTMDFF_5(x2,b,mu,zeta2,3)
Integrand=+global_mass_scale*(&
(FA(1)+FA(2))*(FB(1)+4d0*FB(2))/18d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+(FA(-1)+FA(-2))*(FB(-1)+4d0*FB(-2))/18d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (13105) !n->h? where h?=h1+h2 (n=neutron=p(u<->d))
! e_q^2 *F_q(A)*F_q(B)
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)
Integrand=+global_mass_scale*(&
FA(2)*FB(1)/9.d0&
+FA(1)*FB(2)*4.d0/9.d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+FA(-2)*FB(-1)/9.d0&
+FA(-1)*FB(-2)*4.d0/9.d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0)
!--------------------------------------------------------------------------------
CASE (13106) !n->h? where h?=h1+h2+h3 (n=neutron=p(u<->d))
! e_q^2 *F_q(A)*F_q(B)
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)+uTMDFF_5(x2,b,mu,zeta2,3)
Integrand=+global_mass_scale*(&
FA(2)*FB(1)/9.d0&
+FA(1)*FB(2)*4.d0/9.d0&
+FA(3)*FB(3)/9.d0&
+FA(4)*FB(4)*4d0/9.d0&
+FA(5)*FB(5)/9d0&
+FA(-2)*FB(-1)/9.d0&
+FA(-1)*FB(-2)*4.d0/9.d0&
+FA(-3)*FB(-3)/9.d0&
+FA(-4)*FB(-4)*4d0/9.d0&
+FA(-5)*FB(-5)/9d0)
!------------------------------------------------------------------------------------
CASE (13111) !p->bar h? where h?=h1+h2
! e_q^2 *F_q(A)*F_bq(B)
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)
Integrand=+global_mass_scale*(&
FA(1)*FB(-1)/9.d0&
+FA(2)*FB(-2)*4.d0/9.d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+FA(-1)*FB(1)/9.d0&
+FA(-2)*FB(2)*4.d0/9.d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0)
!--------------------------------------------------------------------------------
CASE (13112) !p->bar h? where h?=h1+h2+h3
! e_q^2 *F_q(A)*F_bq(B)
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)+uTMDFF_5(x2,b,mu,zeta2,3)
Integrand=+global_mass_scale*(&
FA(1)*FB(-1)/9.d0&
+FA(2)*FB(-2)*4.d0/9.d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+FA(-1)*FB(1)/9.d0&
+FA(-2)*FB(2)*4.d0/9.d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0)
!--------------------------------------------------------------------------------
CASE (13113) !d->bar h? where h?=h1+h2 (d=deutron=(p+n)/2)
! e_q^2 *F_q(A)*F_bq(B)
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)
Integrand=+global_mass_scale*(&
(FA(1)+FA(2))*(FB(-1)+4d0*FB(-2))/18d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+(FA(-1)+FA(-2))*(FB(1)+4d0*FB(2))/18d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0)
!--------------------------------------------------------------------------------
CASE (13114) !d->bar h? where h?=h1+h2+h3 (d=deutron=(p+n)/2)
! e_q^2 *F_q(A)*F_bq(B)
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)+uTMDFF_5(x2,b,mu,zeta2,3)
Integrand=+global_mass_scale*(&
(FA(1)+FA(2))*(FB(-1)+4d0*FB(-2))/18d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+(FA(-1)+FA(-2))*(FB(1)+4d0*FB(2))/18d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0)
!------------------------------------------------------------------------------------
CASE (13115) !n->bar h? where h?=h1+h2 (n=neutron=p(u<->d))
! e_q^2 *F_q(A)*F_bq(B)
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)
Integrand=+global_mass_scale*(&
FA(2)*FB(-1)/9.d0&
+FA(1)*FB(-2)*4.d0/9.d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+FA(-2)*FB(1)/9.d0&
+FA(-1)*FB(2)*4.d0/9.d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0)
!--------------------------------------------------------------------------------
CASE (13116) !n->bar h? where h?=h1+h2+h3 (n=neutron=p(u<->d))
! e_q^2 *F_q(A)*F_bq(B)
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDFF_5(x2,b,mu,zeta2,1)+uTMDFF_5(x2,b,mu,zeta2,2)+uTMDFF_5(x2,b,mu,zeta2,3)
Integrand=+global_mass_scale*(&
FA(2)*FB(-1)/9.d0&
+FA(1)*FB(-2)*4.d0/9.d0&
+FA(3)*FB(-3)/9.d0&
+FA(4)*FB(-4)*4d0/9.d0&
+FA(5)*FB(-5)/9d0&
+FA(-2)*FB(1)/9.d0&
+FA(-1)*FB(2)*4.d0/9.d0&
+FA(-3)*FB(3)/9.d0&
+FA(-4)*FB(4)*4d0/9.d0&
+FA(-5)*FB(5)/9d0)
!--------------------------------------------------------------------------------
!-------------------------SPECIAL DY CASES---------------------------------------
CASE (13200) !pp->Z+gamma
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
FAB=FA*(FB(5:-5:-1))
Integrand=global_mass_scale*XIntegrandForDYwithZgamma_GTU(FAB,Q2)
!--------------------------------------------------------------------------------
CASE (13201) !pp-> W+
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
Integrand=-global_mass_scale*paramW_L*(& !!! -1=is due to the -gL^2 in the coupling for lepton
paramW_UD*(FA(2)*FB(-1)-FA(-1)*FB(2))& !u*dbar+dbar*u
+paramW_US*(FA(2)*FB(-3)-FA(-3)*FB(2))& !u*sbar+sbar*u
+paramW_UB*(FA(2)*FB(-5)-FA(-5)*FB(2))& !u*bbar+bbar*u
+paramW_CD*(FA(4)*FB(-1)-FA(-1)*FB(4))& !c*dbar+dbar*c
+paramW_CS*(FA(4)*FB(-3)-FA(-3)*FB(4))& !c*sbar+sbar*c
+paramW_CB*(FA(4)*FB(-5)-FA(-5)*FB(4))& !c*bbar+bbar*c
)*Q2*Q2/((Q2-MW2)**2+GammaW2*MW2)
!--------------------------------------------------------------------------------
CASE (13202) !pp-> W-
FA=wgtTMDPDF_5(x1,b,mu,zeta1,1)
FB=uTMDPDF_5(x2,b,mu,zeta2,1)
Integrand=-global_mass_scale*paramW_L*(& !!! -1=is due to the -gL^2 in the coupling for lepton
paramW_UD*(FA(1)*FB(-2)-FA(-2)*FB(1))& !d*ubar+ubar*d
+paramW_US*(FA(3)*FB(-2)-FA(-2)*FB(3))& !s*ubar+ubar*s
+paramW_UB*(FA(5)*FB(-2)-FA(-2)*FB(5))& !b*ubar+ubar*b
+paramW_CD*(FA(1)*FB(-4)-FA(-4)*FB(1))& !d*cbar+cbar*d
+paramW_CS*(FA(3)*FB(-4)-FA(-4)*FB(3))& !s*cbar+cbar*s
+paramW_CB*(FA(5)*FB(-4)-FA(-4)*FB(5))& !b*cbar+cbar*b
)*Q2*Q2/((Q2-MW2)**2+GammaW2*MW2)
CASE DEFAULT
write(*,*) ErrorString('undefined process: ',moduleName),process
write(*,*) color('Evaluation stop',c_red_bold)
stop
END SELECT
if(ISNAN(Integrand)) then
write(*,*) ErrorString('Integrand evaluated to NaN',moduleName)
write(*,*) 'bT=',b, 'x1,x2=',x1,x2,' process=',process
write(*,*) 'mu=',mu, 'Q2=',Q2
!write(*,*) 'Current set of NP parameters ------------'
!write(*,*) currentNP
call TMDF_convergenceISlost()
Integrand=1d10
end if
if(Integrand>1d32) then
write(*,*) ErrorString('Integrand evaluated to >10^32',moduleName)
write(*,*) 'bT=',b, 'x1,x2=',x1,x2,' process=',process
write(*,*) 'mu=',mu, 'Q2=',Q2
!write(*,*) 'Current set of NP parameters ------------'
!write(*,*) currentNP
call TMDF_convergenceISlost()
Integrand=1d10
end if
end function Integrand
!-------------------------------------------------------------------------------------------------------------------------------------
!-------------------------------------------------------------------------------------------------------------------------------------
!!! The hadron tensonr for the DY icludes Z + gamma, evaluated at FA and FB
function XIntegrandForDYwithZgamma(FAB,Q2)
real(dp)::XIntegrandForDYwithZgamma,Q2
!!cross-seciton parameters
real(dp),dimension(-5:5):: FAB
!!!parameters of Z boson coupling
! real(dp),parameter:: paramU=0.40329064872689d0 !! ((1-2|eq|sw^2)^2+4eq^2sw^4)/(8sw^2cw^2) for eq=2/3
! real(dp),parameter:: paramD=0.51983027428079d0 !! ((1-2|eq|sw^2)^2+4eq^2sw^4)/(8sw^2cw^2) for eq=1/3
! real(dp),parameter:: paramS=0.51983027428079d0 !! ((1-2|eq|sw^2)^2+4eq^2sw^4)/(8sw^2cw^2) for eq=1/3
! real(dp),parameter:: paramC=0.40329064872689d0 !! ((1-2|eq|sw^2)^2+4eq^2sw^4)/(8sw^2cw^2) for eq=2/3
! real(dp),parameter:: paramB=0.51983027428079d0 !! ((1-2|eq|sw^2)^2+4eq^2sw^4)/(8sw^2cw^2) for eq=1/3
! real(dp),parameter:: paramL=0.35358707798999d0 !! ((1-2|eq|sw^2)^2+4eq^2sw^4)/(8sw^2cw^2) for eq=1
!!!parameters of Z-gamma boson coupling
! real(dp),parameter:: paramMIXU=0.1515661518957d0 !! e(T3-2e sW^2)/2sWcW for eq=+2/3,, T3=+1/2
! real(dp),parameter:: paramMIXD=0.1367184036034d0 !! e(T3-2e sW^2)/2sWcW for eq=-1/3,T3=-1/2
! real(dp),parameter:: paramMIXS=0.1367184036034d0 !! e(T3-2e sW^2)/2sWcW for eq=-1/3, T3=-1/2
! real(dp),parameter:: paramMIXC=0.1515661518957d0 !! e(T3-2e sW^2)/2sWcW for eq=+2/3,, T3=+1/2
! real(dp),parameter:: paramMIXB=0.1367184036034d0 !! e(T3-2e sW^2)/2sWcW for eq=-1/3, T3=-1/2
! real(dp),parameter:: paramMIXL=0.0445432448766d0 !! e(T3-2e sW^2)/2sWcW for eq=-1, T3=-1/2
XIntegrandForDYwithZgamma=&
(&!gamma-part
4d0/9d0*FAB(2)&
+1d0/9d0*FAB(1)&
+1d0/9d0*FAB(3)&
+4d0/9d0*FAB(4)&
+1d0/9d0*FAB(5)&
+4d0/9d0*FAB(-2)&
+1d0/9d0*FAB(-1)&
+1d0/9d0*FAB(-3)&
+4d0/9d0*FAB(-4)&
+1d0/9d0*FAB(-5))&
+&!gamma-Z interference
paramMIXL*(&
paramMIXU*FAB(2)&
+paramMIXD*FAB(1)&
+paramMIXS*FAB(3)&
+paramMIXC*FAB(4)&
+paramMIXB*FAB(5)&
+paramMIXU*FAB(-2)&
+paramMIXD*FAB(-1)&
+paramMIXS*FAB(-3)&
+paramMIXC*FAB(-4)&
+paramMIXB*FAB(-5))*&
2d0*Q2*(Q2-MZ2)/((Q2-MZ2)**2+GammaZ2*MZ2)&
+&!ZZ-contributions
paramL*(&
paramU*FAB(2)&
+paramD*FAB(1)&
+paramS*FAB(3)&
+paramC*FAB(4)&
+paramB*FAB(5)&
+paramU*FAB(-2)&
+paramD*FAB(-1)&
+paramS*FAB(-3)&
+paramC*FAB(-4)&
+paramB*FAB(-5))*&
Q2*Q2/((Q2-MZ2)**2+GammaZ2*MZ2)
end function XIntegrandForDYwithZgamma
!-------------------------------------------------------------------------------------------------------------------------------------
!-------------------------------------------------------------------------------------------------------------------------------------
!!! The hadron tensonr for the structure function GTU in DY icludes Z + gamma
function XIntegrandForDYwithZgamma_GTU(FAB,Q2)
real(dp)::XIntegrandForDYwithZgamma_GTU,Q2
!!cross-seciton parameters
real(dp),dimension(-5:5):: FAB
!gamma-part=0
XIntegrandForDYwithZgamma_GTU=&!gamma-Z interference
paramMIXL_A*(&
paramMIXU*FAB(2)&
+paramMIXD*FAB(1)&
+paramMIXS*FAB(3)&
+paramMIXC*FAB(4)&
+paramMIXB*FAB(5)&
-paramMIXU*FAB(-2)&
-paramMIXD*FAB(-1)&
-paramMIXS*FAB(-3)&
-paramMIXC*FAB(-4)&
-paramMIXB*FAB(-5))*&
2d0*Q2*(Q2-MZ2)/((Q2-MZ2)**2+GammaZ2*MZ2)&
+&!ZZ-contributions
paramL_A*(&
paramU*FAB(2)&
+paramD*FAB(1)&
+paramS*FAB(3)&
+paramC*FAB(4)&
+paramB*FAB(5)&
-paramU*FAB(-2)&
-paramD*FAB(-1)&
-paramS*FAB(-3)&
-paramC*FAB(-4)&
-paramB*FAB(-5))*&
Q2*Q2/((Q2-MZ2)**2+GammaZ2*MZ2)
end function XIntegrandForDYwithZgamma_GTU
end module TMDF
| 66,347 | 36.358108 | 134 | f90 |
artemide-public | artemide-public-master/src/TMDR.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 2.00
!
! Evaluation of the TMD evolution kernel
! Here we use the improved gamma-solution, and the universal TMD definition.
!
! if you use this module please, quote 1803.11089
!
! A.Vladimirov (17.04.2018)
! v1.32 A.Vladimirov (30.08.2018)
! b-freeze at 1d-6 A.Vladimirov (16.09.2018)
! v1.41 transpose-issue fixed A.Vladimirov (11.03.2019)
! 29.03.2019 Update to version 2.00 (AV).
! v2.01 Added zeta-line with non-pertrubative D A.Vladimirov (06.06.2019)
! Added gluon evolution A.Vladimirov (12.06.2019)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module TMDR
use aTMDe_Numerics
use IO_functions
use QCDinput
use TMDR_model
use TMD_AD
implicit none
private
!Current version of module
character (len=5),parameter :: version="v2.06"
character (len=7),parameter :: moduleName="TMDR"
!Last appropriate verion of constants-file
integer,parameter::inputver=10
character(256)::replicaFILE
logical::usereplicaFILE=.false.
character(50)::name
!------------------------------------------Working variables------------------------------------------------------------
!!!! the orders of used perturbative expressions for AD
!! Orders of anomalous dimensions as^n
integer::orderCusp !for Cusp AD
integer::orderV !for gammaV
integer::orderD !for RAD
integer::orderDresum !for resummed RAD
integer::orderZETA !for zeta-line
!! Level of output
!! 0=only critical
!! 1=initialization details
!! 2=WARNINGS
integer::outputLevel=2
integer::messageTrigger=5
logical::started=.false.
!! Precision tolerance used in various routines
real(dp)::tolerance=0.0001d0
!! Evolution type
integer:: EvolutionType=3
integer::counter,messageCounter
!!!!!!!
!!model parameters
real(dp),allocatable::Stable(:,:)
!------------------------------------------Non-pertrubative parameters--------------------------------------------------
!!Number of non-pertrubative parameters
integer::NPlength=0
!! array of non-pertrubative parameters
real(dp),allocatable,dimension(:):: NPparam
public::TMDR_R,TMDR_Rzeta,TMDR_Rzeta_harpy
public:: TMDR_Initialize,TMDR_setNPparameters,LowestQ,TMDR_IsInitialized,TMDR_CurrentNPparameters
!public::DNP!,GammaCusp,gammaV
interface TMDR_setNPparameters
module procedure TMDR_setNPparameters, TMDR_SetReplica
end interface
interface TMDR_R
module procedure TMDR_R_typeZ0,TMDR_R_typeZ
end interface
interface TMDR_Rzeta
module procedure TMDR_Rzeta_type1,TMDR_Rzeta_type2,TMDR_Rzeta_type3
end interface
contains
!!! Routines for evolution type1
INCLUDE 'Code/TMDR/type1.f90'
!!! Routines for evolution type2
INCLUDE 'Code/TMDR/type2.f90'
!!! Routines for evolution type3
INCLUDE 'Code/TMDR/type3.f90'
function TMDR_IsInitialized()
logical::TMDR_IsInitialized
TMDR_IsInitialized=started
end function TMDR_IsInitialized
!!! Initializing routing
!!! Filles the prebuiled arrays
!!! orderAD, is order of anomalous dimension for evolution
!!!! order zeta is the order of pertrubative zeta expression, used only in the "universal TMD"
subroutine TMDR_Initialize(file,prefix)
character(len=*)::file
character(len=*),optional::prefix
character(len=300)::path,line
logical::initRequired
character(len=8)::orderMain
integer::i,FILEver
if(started) return
if(present(prefix)) then
path=trim(adjustl(prefix))//trim(adjustr(file))
else
path=trim(adjustr(file))
end if
OPEN(UNIT=51, FILE=path, ACTION="read", STATUS="old")
!!! Search for output level
call MoveTO(51,'*0 ')
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) FILEver
if(FILEver<inputver) then
write(*,*) 'artemide.'//trim(moduleName)//': const-file version is too old.'
write(*,*) ' Update the const-file with artemide.setup'
write(*,*) ' '
stop
end if
call MoveTO(51,'*p2 ')
read(51,*) outputLevel
if(outputLevel>2) write(*,*) '--------------------------------------------- '
if(outputLevel>2) write(*,*) 'artemide.',moduleName,version,': initialization started ... '
call MoveTO(51,'*p3 ')
read(51,*) messageTrigger
call MoveTO(51,'*3 ')
call MoveTO(51,'*p1 ')
read(51,*) initRequired
if(.not.initRequired) then
if(outputLevel>2) write(*,*)'artemide.',moduleName,': initialization is not required. '
started=.false.
return
end if
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) orderMain
!!!!! IMPORTANT
!!!!! Gamma cusp start from Gamma0, i.e. orderCusp=0 = as^1
SELECT CASE(orderMain)
CASE ("LO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: LO'
orderCusp=0
orderV=0
orderD=0
orderDresum=0
orderZETA=0
CASE ("LO+")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: LO+'
orderCusp=0
orderV=1
orderD=1
orderDresum=0
orderZETA=0
CASE ("NLO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NLO'
orderCusp=1
orderV=1
orderD=1
orderDresum=1
orderZETA=1
CASE ("NLO+")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NLO+'
orderCusp=1
orderV=2
orderD=2
orderDresum=1
orderZETA=1
CASE ("NNLO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NNLO'
orderCusp=2
orderV=2
orderD=2
orderDresum=2
orderZETA=2
CASE ("N2LO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NNLO'
orderCusp=2
orderV=2
orderD=2
orderDresum=2
orderZETA=2
CASE ("NNLO+")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NNLO+'
orderCusp=2
orderV=3
orderD=3
orderDresum=3!2
orderZETA=3!2
CASE ("NNNLO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NNNLO'
orderCusp=3
orderV=3
orderD=3
orderDresum=3
orderZETA=3
CASE ("N3LO") !!! same as NNNLO
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: N3LO'
orderCusp=3
orderV=3
orderD=3
orderDresum=3
orderZETA=3
CASE ("N3LO+")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: N3LO+'
orderCusp=3
orderV=4
orderD=4
orderDresum=3
orderZETA=3
CASE ("N4LO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: N4LO'
orderCusp=4
orderV=4
orderD=4
orderDresum=4
orderZETA=4
CASE DEFAULT
if(outputLevel>0) write(*,*) &
WarningString(' Initialize:try to set unknown ADs orders. Switch to NLO.',modulename)
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NLO'
orderCusp=1
orderV=1
orderD=1
orderDresum=1
orderZETA=1
END SELECT
if(outputLevel>2) then
write(*,'(A,I1)') ' | GammaCusp =as^',orderCusp+1
write(*,'(A,I1)') ' | gammaV =as^',orderV
write(*,'(A,I1)') ' | D =as^',orderD
write(*,'(A,I1)') ' | Dresum =as^',orderDresum
write(*,'(A,I1)') ' | zeta_mu =as^',orderZETA
end if
call MoveTO(51,'*p2 ')
read(51,*) EvolutionType
if(EvolutionType<1 .or. EvolutionType>3) then
if(outputLevel>0) write(*,*) &
WarningString(' Initialize: Inappropriate evolution type (not 1,2,3). Switch to 3',modulename)
EvolutionType=3
end if
if(outputLevel>2) write(*,'(A,I3)') ' Evolution type =',EvolutionType
!-------------------------
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) NPlength
if(outputLevel>2) write(*,'(A,I3)') ' Number of NP parameters =',NPlength
!!allocating number of NP input
allocate(NPparam(1:NPlength))
call MoveTO(51,'*p2 ')
do i=1,NPlength
read(51,*) NPparam(i)
end do
!--------------------------
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) tolerance
if(outputLevel>2) write(*,'(A,ES10.3)') ' | tolerance=',tolerance
CLOSE (51, STATUS='KEEP')
call TMD_AD_Initialize(orderCusp,orderV,orderD,orderDresum,orderZETA)
if(.not.QCDinput_IsInitialized()) then
if(outputLevel>1) write(*,*) '.. initializing QCDinput (from ',moduleName,')'
if(present(prefix)) then
call QCDinput_Initialize(file,prefix)
else
call QCDinput_Initialize(file)
end if
end if
if(outputLevel>2) write(*,*) 'Model initialization..'
call ModelInitialization(NPparam)
!!! we also initialize the variables
call TMDR_setNPparameters(NPparam)
started=.true.
counter=0
messageCounter=0
if(outputLevel>0) write(*,*) color('----- arTeMiDe.TMDR '//trim(version)//': .... initialized',c_green)
if(outputLevel>1) write(*,*) ' '
end subroutine TMDR_Initialize
!Reset the NP parameters
subroutine TMDR_setNPparameters(lambdaIN)
real(dp),intent(in)::lambdaIN(:)
integer::ll
ll=size(lambdaIN)
if(ll<NPlength) then
if(outputLevel>0) write(*,"(A,I3,A,I3,')')")&
WarningString('length of lambdaNP(',moduleName),ll,&
color(') is less then requred (',c_red),NPlength
if(outputLevel>0) write(*,*)color(' Rest parameters are replaced by zeros!',c_red)
NPparam=0d0*NPparam
NPparam(1:ll)=lambdaIN(1:ll)
else if (ll>NPlength) then
if(outputLevel>0) write(*,"(A,I3,A,I3,')')")&
WarningString('length of lambdaNP(',moduleName),ll,&
color(') is greater then requred (',c_red),NPlength
if(outputLevel>0) write(*,*)color(' Array is truncated!',c_red)
NPparam(1:NPlength)=lambdaIN(1:NPlength)
else
NPparam=lambdaIN
end if
if(outputLevel>2) write(*,*) 'arTeMiDe.TMDR: NPparameters reset = (',NPparam,')'
call ModelUpdate(NPparam)
end subroutine TMDR_setNPparameters
subroutine TMDR_SetReplica(rep)
integer,intent(in)::rep
real(dp),allocatable::NParray(:)
call GetReplicaParameters(rep,NParray)
call TMDR_setNPparameters(NParray)
end subroutine TMDR_SetReplica
subroutine TMDR_CurrentNPparameters(var)
real(dp),dimension(1:NPlength)::var
var=NPparam
end subroutine TMDR_CurrentNPparameters
!!!--------------------------------------------------------------------------
!!!--------------------------- interfaces -----------------------------------
!!! general interface for evolutions from (muf,zetaf)->(mui,zetai)
!!! contains parameter mu0 which is used in type-1 evolution.
!!! for other cases mu0 is ignored
!!! these functions are the part of TMDR_R definition
function TMDR_R_typeZ0(b,muf,zetaf,mui,zetai,mu0,f)
real(dp)::TMDR_R_typeZ0
real(dp),intent(in)::b,muf,zetaf,mui,zetai,mu0
integer,intent(in)::f
SELECT CASE(EvolutionType)
CASE(1)
TMDR_R_typeZ0=TMDR_R_type1(b,muf,zetaf,mui,zetai,mu0,f)
CASE(2)
TMDR_R_typeZ0=TMDR_R_type2(b,muf,zetaf,mui,zetai,f)
CASE(3)
TMDR_R_typeZ0=TMDR_Rzeta_type3(b,muf,zetaf,f)/TMDR_Rzeta_type3(b,mui,zetai,f)
CASE DEFAULT
TMDR_R_typeZ0=TMDR_Rzeta_type3(b,muf,zetaf,f)/TMDR_Rzeta_type3(b,mui,zetai,f)
end SELECT
end function TMDR_R_typeZ0
!!! general interface for evolutions from (muf,zetaf)->(mui,zetai) for types 2,3,4
!!! for the type 1 the parameter mu0 = mui
!!! these functions are the part of TMDR_R definition
function TMDR_R_typeZ(b,muf,zetaf,mui,zetai,f)
real(dp)::TMDR_R_typeZ
real(dp),intent(in)::b,muf,zetaf,mui,zetai
integer,intent(in)::f
SELECT CASE(EvolutionType)
CASE(1)
!!!!! parameter mu0 = mui !!!
TMDR_R_typeZ=TMDR_R_type1(b,muf,zetaf,mui,zetai,mui,f)
CASE(2)
TMDR_R_typeZ=TMDR_R_type2(b,muf,zetaf,mui,zetai,f)
CASE(3)
TMDR_R_typeZ=TMDR_Rzeta_type3(b,muf,zetaf,f)/TMDR_Rzeta_type3(b,mui,zetai,f)
CASE DEFAULT
TMDR_R_typeZ=TMDR_Rzeta_type3(b,muf,zetaf,f)/TMDR_Rzeta_type3(b,mui,zetai,f)
end SELECT
end function TMDR_R_typeZ
!! we search for the lowest avalible Q, under which the evolution is inverted (for quark)
!! it is defined by Q^2<zeta_Q(b->infty)
!! with variabtions it is Q^2<zeta_{c Q}(b->infty)
!! the function return the values for c={0.5,1,2} at b=25 (let it be assimptotic value)
!! The function returns 1 if Q<1
function LowestQ()
real(dp),dimension(1:3)::LowestQ
real(dp),parameter::b=25d0
integer,parameter::f=1
real(dp)::Qs1,Qs2,Qs3,V1,V2,V3
!c=1
Qs1=1d0
V1=Qs1**2-zetaNP(Qs1,b,f)
Qs3=25d0
V3=Qs3**2-zetaNP(Qs3,b,f)
if(V1<0d0 .and. V3>0d0) then
do
Qs2=(Qs3+Qs1)/2d0
V2=Qs2**2-zetaNP(Qs2,b,f)
if(V2>0d0) then
Qs3=Qs2
V3=V2
else
Qs1=Qs2
V1=V2
end if
if(Qs3-Qs1<tolerance) exit
end do
LowestQ(2)=(Qs3+Qs1)/2d0
else if(V1>0d0 .and. V3>0d0) then
LowestQ(2)=1d0
else
write(*,*) ErrorString('LowestQ: Negative value at large Q (c=1).',moduleName)
stop
end if
!c=0.5
Qs1=1d0
V1=Qs1**2-zetaNP(0.5d0*Qs1,b,f)
Qs3=25d0
V3=Qs3**2-zetaNP(0.5d0*Qs3,b,f)
if(V1<0d0 .and. V3>0d0) then
do
Qs2=(Qs3+Qs1)/2d0
V2=Qs2**2-zetaNP(0.5d0*Qs2,b,f)
if(V2>0d0) then
Qs3=Qs2
V3=V2
else
Qs1=Qs2
V1=V2
end if
if(Qs3-Qs1<tolerance) exit
end do
LowestQ(1)=(Qs3+Qs1)/2d0
else if(V1>0d0 .and. V3>0d0) then
LowestQ(1)=1d0
else
write(*,*) ErrorString('LowestQ: Negative value at large Q (c=1).',moduleName)
stop
end if
!c=2
Qs1=1d0
V1=Qs1**2-zetaNP(2d0*Qs1,b,f)
Qs3=25d0
V3=Qs3**2-zetaNP(2d0*Qs3,b,f)
if(V1<0d0 .and. V3>0d0) then
do
Qs2=(Qs3+Qs1)/2d0
V2=Qs2**2-zetaNP(2d0*Qs2,b,f)
if(V2>0d0) then
Qs3=Qs2
V3=V2
else
Qs1=Qs2
V1=V2
end if
if(Qs3-Qs1<tolerance) exit
end do
LowestQ(3)=(Qs3+Qs1)/2d0
else if(V1>0d0 .and. V3>0d0) then
LowestQ(3)=1d0
else
write(*,*) ErrorString('LowestQ: Negative value at large Q (c=1).',moduleName)
stop
end if
end function LowestQ
end module TMDR
| 13,993 | 26.278752 | 120 | f90 |
artemide-public | artemide-public-master/src/TMDX_DY.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 2.01
!
! Evaluation of the TMD cross-section for DY-like cross-sections
!
! if you use this module please, quote 1706.01473
!
! ver 1.0: release (AV, 10.05.2017)
! ver 1.1: multiple updates (AV, 5.10.2017)
! ver 1.2: module is renamed, and multiple renaming of functions (AV, 15.10.2017)
! ver 1.31: part of functions migrated to TMDF, rest updated (AV, 1.06.2018)
! ver 1.4: encapsulation of cuts, and process,+ multiple updates (AV, 18.01.2019)
! ver 2.01: Added Higgs xSec, piresum option, and coefficient function moved to separate file (AV, 17.06.2019)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module TMDX_DY
use aTMDe_Numerics
use IO_functions
use TMDF
use LeptonCutsDY
use QCDinput
use EWinput
implicit none
private
!Current version of module
character (len=7),parameter :: moduleName="TMDX-DY"
character (len=5),parameter :: version="v2.06"
!Last appropriate verion of constants-file
integer,parameter::inputver=21
real(dp) :: tolerance=0.0005d0
integer::outputlevel
integer::messageTrigger
!!!!
!!!! in the module the kinematic is stored in the varibles "kinematic" real(dp),dimension(1:6)
!!!! which is (qT,s,Q,Q^2,x0,y,exp[y])
!!!! where x0=sqrt[(Q^2+q_T^2)/s] (if exactX1X2) or x0=Q^2/s (otherwise)
!!!!
!The variables for all parameters of the model!
real(dp):: s_global,Q_global,y_global
!! Set of process definition, for Prefactor 1, Prefactor 2, structure function, etc
!! = (/p1,p2,p3/)
integer,dimension(1:3)::process_global
!!cut parameters
!!!!! this variable = (pT1,pT2,etaMIN,etaMAX)
real(dp),dimension(1:4)::CutParameters_global
!!other global parameters see SetXParameters
integer:: orderH_global
logical:: includeCuts_global
logical::usePIresum
integer:: exactX1X2 !!!=1 if exact x's=true, =0 otherwise
integer:: exactScales !!!=1 if exact hard scales = true, =0 otherwise
!!! number of sections for PT-integral by default
integer::NumPTdefault=4
!!! Maximum size of Q-bin. Larger bins are desected
real::maxQbinSize=30.
real(dp)::c2_global!,muHard_global
integer::GlobalCounter
integer::CallCounter
integer::messageCounter
real(dp)::hc2
logical::started=.false.
public::TMDX_DY_XSetup,TMDX_DY_Initialize,TMDX_DY_SetCuts,TMDX_DY_SetScaleVariation,&
TMDX_DY_setProcess,TMDX_DY_ShowStatistic,TMDX_DY_ResetCounters,TMDX_DY_IsInitialized
public:: CalcXsec_DY,CalcXsec_DY_Yint,CalcXsec_DY_Qint_Yint,CalcXsec_DY_PTint_Qint_Yint,CalcXsec_DY_Qint,xSec_DY,xSec_DY_List,&
xSec_DY_List_BINLESS
interface TMDX_DY_SetCuts
module procedure SetCuts_sym,SetCuts_asym
end interface
interface CalcXsec_DY
module procedure xSecSingle,xSecList
end interface
interface TMDX_DY_setProcess
module procedure TMDX_setProcess1,TMDX_setProcess3,TMDX_setProcess30
end interface
interface CalcXsec_DY_Yint
module procedure xSecSingle_Yint ,xSecList_Yint,xSecSingle_Ycomplete ,xSecList_Ycomplete
end interface
interface CalcXsec_DY_Qint
module procedure xSecSingle_Qint ,xSecList_Qint
end interface
interface CalcXsec_DY_Qint_Yint
module procedure xSecSingle_Qint_Yint, xSecList_Qint_Yint, xSecSingle_Qint_Ycomplete, xSecList_Qint_Ycomplete
end interface
interface CalcXsec_DY_PTint_Qint_Yint
module procedure xSecSingle_PTint_Qint_Yint, xSecList_PTint_Qint_Yint, &
xSecSingle_PTint_Qint_Ycomplete, xSecList_PTint_Qint_Ycomplete,&
xSecSingle_PTintN_Qint_Yint, xSecList_PTintN_Qint_Yint,&
xSecSingle_PTintN_Qint_Ycomplete, xSecList_PTintN_Qint_Ycomplete,&
xSecListList_PTint_Qint_Yint,xSecListList_PTint_Qint_Ycomplete,&
xSecListList_PTintN_Qint_Yint,xSecListList_PTintN_Qint_Ycomplete,&
xSecListPY_PTint_Qint_Yint,xSecListPY_PTintN_Qint_Yint
end interface
interface xSec_DY
module procedure MainInterface_AsAAAloo,MainInterface_isAAAloo
end interface
contains
function TMDX_DY_IsInitialized()
logical::TMDX_DY_IsInitialized
TMDX_DY_IsInitialized=started
end function TMDX_DY_IsInitialized
!! Initialization of the package
subroutine TMDX_DY_Initialize(file,prefix)
character(len=*)::file
character(len=*),optional::prefix
character(len=300)::path,line
logical::initRequired,dummyLogical,TMDPDFgrid
character(len=8)::orderMain
integer::i,FILEver
!$ integer:: omp_get_thread_num
if(started) return
if(present(prefix)) then
path=trim(adjustl(prefix))//trim(adjustr(file))
else
path=trim(adjustr(file))
end if
OPEN(UNIT=51, FILE=path, ACTION="read", STATUS="old")
!!! Search for output level
call MoveTO(51,'*0 ')
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) FILEver
if(FILEver<inputver) then
write(*,*) 'artemide.'//trim(moduleName)//': const-file version is too old.'
write(*,*) ' Update the const-file with artemide.setup'
write(*,*) ' '
stop
end if
call MoveTO(51,'*p2 ')
read(51,*) outputLevel
if(outputLevel>2) write(*,*) '--------------------------------------------- '
if(outputLevel>2) write(*,*) 'artemide.',moduleName,version,': initialization started ... '
call MoveTO(51,'*p3 ')
read(51,*) messageTrigger
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) hc2
!!! go to section TMD-DY
call MoveTO(51,'*9 ')
call MoveTO(51,'*p1 ')
read(51,*) initRequired
if(.not.initRequired) then
if(outputLevel>2) write(*,*)'artemide.',moduleName,': initialization is not required. '
started=.false.
return
end if
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) orderMain
SELECT CASE(orderMain)
CASE ("LO")
orderH_global=0
CASE ("LO+")
orderH_global=0
CASE ("NLO")
orderH_global=1
CASE ("NLO+")
orderH_global=1
CASE ("NNLO")
orderH_global=2
CASE ("N2LO")
orderH_global=2
CASE ("NNLO+")
orderH_global=2
CASE ("NNNLO")
orderH_global=3
CASE ("N3LO") !!! same as NNNLO
orderH_global=3
CASE ("N3LO+")
orderH_global=3
CASE ("N4LO")
orderH_global=4
CASE DEFAULT
if(outputLevel>0) write(*,*) WarningString('try to set unknown order. Switch to NLO.',moduleName)
orderH_global=1
END SELECT
if(outputLevel>1) write(*,*) ' artemide.TMDX_DY: the used order is ',trim(orderMain)
!!exact values of x1x2
call MoveTO(51,'*p2 ')
read(51,*) dummyLogical
if(dummyLogical) then
exactX1X2=1
else
exactX1X2=0
end if
if(outputLevel>2 .and. dummyLogical) write(*,*) ' artemide.TMDX_DY: qT/Q corrections for x1 and x2 variables are included.'
!! pi2 resummation
call MoveTO(51,'*p3 ')
read(51,*) usePIresum
if(outputLevel>2 .and. usePIresum) write(*,*) ' artemide.TMDX_DY: pi-resummation in coef.function included.'
!!exact values for scales
call MoveTO(51,'*p4 ')
read(51,*) dummyLogical
if(dummyLogical) then
exactScales=1
else
exactScales=0
end if
if(outputLevel>2 .and. dummyLogical) write(*,*) ' artemide.TMDX_DY: qT/Q correction for scales variables are included.'
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) tolerance
call MoveTO(51,'*p2 ')
read(51,*) NumPTdefault
call MoveTO(51,'*p3 ')
read(51,*) maxQbinSize
!$ if(outputLevel>1) write(*,*) ' artemide.TMDX_DY: parallel evaluation of cross-sections is to be used'
!$ call MoveTO(51,'*C ')
!$ call MoveTO(51,'*p1 ')
!$ read(51,*) i
!$ call OMP_set_num_threads(i)
!$ if(outputLevel>1) write(*,*) ' artemide.TMDX_DY: number of threads for parallel evaluation is set to ', i
!$ if(outputLevel>2) write(*,*) '------TEST OF PARALLEL PROCESSING ----------'
!$OMP PARALLEL
!$ if(outputLevel>2) write(*,*) ' artemide.TMDX_DY:thread num ', omp_get_thread_num(), ' ready.'
!$OMP END PARALLEL
CLOSE (51, STATUS='KEEP')
if(.not.EWinput_IsInitialized()) then
if(outputLevel>1) write(*,*) '.. initializing EWinput (from ',moduleName,')'
if(present(prefix)) then
call EWinput_Initialize(file,prefix)
else
call EWinput_Initialize(file)
end if
end if
if(.not.TMDF_IsInitialized()) then
if(outputLevel>1) write(*,*) '.. initializing TMDF (from ',moduleName,')'
if(present(prefix)) then
call TMDF_Initialize(file,prefix)
else
call TMDF_Initialize(file)
end if
end if
includeCuts_global=.false.
c2_global=1d0
GlobalCounter=0
CallCounter=0
messageCounter=0
started=.true.
write(*,*) color('----- arTeMiDe.TMD_DY '//trim(version)//': .... initialized',c_green)
end subroutine TMDX_DY_Initialize
subroutine TMDX_DY_ResetCounters()
if(outputlevel>2) call TMDX_DY_ShowStatistic
GlobalCounter=0
CallCounter=0
messageCounter=0
end subroutine TMDX_DY_ResetCounters
subroutine TMDX_DY_ShowStatistic()
write(*,'(A,ES12.3)') 'TMDX DY statistics total calls of point xSec : ',Real(GlobalCounter)
write(*,'(A,ES12.3)') ' total calls of xSecF : ',Real(CallCounter)
write(*,'(A,F12.3)') ' avarage M : ',Real(GlobalCounter)/Real(CallCounter)
end subroutine TMDX_DY_ShowStatistic
!!!!Call this after TMD initializetion but before NP, and X parameters
subroutine TMDX_DY_SetScaleVariation(c2_in)
real(dp)::c1_in,c2_in,c3_in,c4_in
if(outputLevel>1) write(*,*) 'TMDX_DY: c2 scale reset:',c2_in
if(c2_in<0.1d0 .or. c2_in>10.d0) then
if(outputLevel>0) write(*,*) WarningString('variation in c2 is enourmous. c2 is set to 2',moduleName)
c2_global=2d0
else
c2_global=c2_in
end if
end subroutine TMDX_DY_SetScaleVariation
!!sets the cuts
!! argument includeCuts_global_in=logical, if .true. will add to calculation the evaluation of cut leptonic tensor
!! call BEFORE SetXParameters
subroutine SetCuts_sym(include_arg,pT_arg,eta_min,eta_max)
logical:: include_arg
real(dp):: pT_arg,eta_max,eta_min
includeCuts_global=include_arg
CutParameters_global=(/pT_arg,pT_arg,eta_min,eta_max/)
end subroutine SetCuts_sym
!!sets the cuts (asymetric)
!! argument includeCuts_global_in=logical, if .true. will add to calculation the evaluation of cut leptonic tensor
!! call BEFORE SetXParameters
subroutine SetCuts_asym(include_arg,pT1_arg,pT2_arg,eta_min,eta_max)
logical:: include_arg
real(dp):: pT1_arg,pT2_arg,eta_max,eta_min
includeCuts_global=include_arg
CutParameters_global=(/pT1_arg,pT2_arg,eta_min,eta_max/)
end subroutine SetCuts_asym
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!! PROCESS DEFINITION
function processArrayFromInteger(p)
integer,intent(in)::p
integer,dimension(1:3)::processArrayFromInteger
SELECT CASE(p)
case(1)
processArrayFromInteger=(/1,1,5/) !!! p + p -> Z + gamma^* (e.g. ATLAS, CMS, LHCb)
case(2)
processArrayFromInteger=(/1,1,6/) !!! p + pbar -> Z + gamma^* (e.g. CDF,D0)
case(4)
processArrayFromInteger=(/1,2,1001/)
case(5)
processArrayFromInteger=(/1,1,5/)
case(7)
processArrayFromInteger=(/1,1,6/)
case default
write(*,*) 'ERROR: arTeMiDe_DY: unknown process is called. p=',p
write(*,*) 'Evaluation stop'
stop
end SELECT
end function processArrayFromInteger
!!!set variables for process definition
subroutine TMDX_setProcess30(p0)
integer,dimension(1:3)::p0
process_global(1)=p0(1)
process_global(2)=p0(2)
process_global(3)=p0(3)
end subroutine TMDX_setProcess30
!!!set variables for process definition
subroutine TMDX_setProcess3(p1,p2,p3)
integer::p1,p2,p3
process_global(1)=p1
process_global(2)=p2
process_global(3)=p3
end subroutine TMDX_setProcess3
!!!set variables for process definition
subroutine TMDX_setProcess1(p)
integer::p
call TMDX_setProcess30(processArrayFromInteger(p))
end subroutine TMDX_setProcess1
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!FUNCTIONS FOR OPERATION WITH KINEMATICS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!sets the main parameters of cross-section (x,zeta,etc)
!the variables process defines the type of process
subroutine TMDX_DY_XSetup(s,Q,y)
real(dp)::s,Q,y
if(.not.started) then
write(*,*) 'ERROR: arTeMiDe.TMDX_DY is not initialized. Evaluation terminated'
stop
end if
s_global=s
Q_global=Q
y_global=y
! if(includeCuts_global) then
! call SetCutParameters(pT1_global,pT2_global,eta_min_global,eta_max_global)
! end if
end subroutine TMDX_DY_XSetup
!!! function makes kinematic array from the given set of qT,s,Q,y
!!! array has 7 often appearing entries
function kinematicArray(qT,s,Q,y)
real(dp),dimension(1:7)::kinematicArray
real(dp)::qT,s,Q,y
kinematicArray=(/qT,s,Q,Q**2,sqrt((Q**2+exactX1X2*qT**2)/s),y,exp(y)/)
end function kinematicArray
!!!intrinsic change the value of Q within kinematic array var
subroutine SetQ(Q,var)
real(dp),dimension(1:7)::var
real(dp)::Q
var(3)=Q
var(4)=Q**2
var(5)=sqrt((var(4)+exactX1X2*var(1)**2)/var(2))
end subroutine SetQ
!!!intrinsic change the value of y within kinematic array var
subroutine SetY(y,var)
real(dp),dimension(1:7)::var
real(dp)::y
var(6)=y
var(7)=exp(y)
end subroutine SetY
!!!intrinsic change the value of qT within kinematic array var
subroutine SetQT(qT_in,var)
real(dp),dimension(1:7)::var
real(dp)::qT_in
var(1)=qT_in
var(5)=sqrt((var(4)+exactX1X2*var(1)**2)/var(2))
end subroutine SetQT
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!FUNCTIONS FOR PREFACTORS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!! for easier read coeff-functions are split into separate file
INCLUDE 'DYcoeff-func.f90'
!!!!! Prefactor 2 is (universal part) x (cuts) x H
function PreFactor2(kin,process, includeCuts_in,CutParam)
real(dp),dimension(1:7),intent(in)::kin
logical,intent(in)::includeCuts_in
real(dp)::PreFactor2,cutPrefactor,uniPart,scaleMu
real(dp),dimension(1:4),intent(in)::CutParam
integer,dimension(1:3),intent(in)::process
!!!!! cut part
if(includeCuts_in) then
!!! here include cuts onf lepton tensor
cutPrefactor=CutFactor4(qT=kin(1),Q_in=kin(3),y_in=kin(6),CutParameters=CutParam)
else
!!! this is uncut lepton tensor
cutPrefactor=(1+0.5d0*(kin(1)/kin(3))**2)
end if
!!!! universal part
scaleMu=sqrt(kin(4)+exactScales*kin(1)**2)
SELECT CASE(process(2))
case(-10221191)
uniPart=1d0
cutPrefactor=1d0
CASE(1)
!4 pi aEm^2/3 /Nc/Q^2/s
uniPart=pix4/9d0*(alphaEM(scaleMu)**2)/(kin(2)*kin(4))*&
HardCoefficientDY(scaleMu)*&
hc2*1d9!from GeV to pb
!!! IsySymmetric=.true. !!! state is IsySymmetric-function
CASE(2)
!4 pi aEm^2/3 /Nc/Q^2/s
uniPart=pix4/9d0*(alphaEM(scaleMu)**2)/(kin(2)*kin(4))*&
HardCoefficientDY(scaleMu)*&
hc2*1d9!from GeV to pb
!!!IsySymmetric=.false. !!! state is IsySymmetric-function
CASE (3) !Zboson in the narrow-width approximation
!4 pi^2 aem/Nc/s Br(z->ee+mumu)
uniPart=pi2x4/3d0*alphaEM(scaleMu)/kin(2)*&
HardCoefficientDY(scaleMu)*&
hc2*1d9*&!from GeV to pb
0.03645d0!Br from PDG, ee+mumu
CASE (4) !Wboson in the narrow-width approximation
!4 pi^2 aem/Nc/s Br(z->ee+mumu)
uniPart=pi2x4/3d0**alphaEM(scaleMu)/kin(2)*&
HardCoefficientDY(scaleMu)*&
hc2*1d9*&!from GeV to pb
0.1086d0!Br from PDG, ee+mumu
CASE (5) !exclusive HIGGSboson production
! (2\pi) *pi Mh^2 as(mu)/36/s/vev^2 * H*cT^2
! (1.033)^2 is correction for mT mass in Ct at LO.
uniPart=(1d0/18d0)*MH2*(As(c2_global*scaleMu)/VEVH)**2/kin(2)*&
HardCoefficientHIGGS(scaleMu)*(EffCouplingHFF(scaleMu)**2)*1.0677023627519822d0*&
hc2*1d9!from GeV to pb
cutPrefactor=1d0 !!! cut-prefactor is different in this case!
CASE DEFAULT
write(*,*) 'ERROR: arTeMiDe.TMDX_DY: unknown process p2=',process(2),' .Evaluation stop.'
stop
END SELECT
!!! this is case of xF integration the weight is 2sqrt[(Q^2+q_T^2)/s] Cosh[y]
if(process(1)==2) then
uniPart=2d0*kin(5)*cosh(kin(6))*uniPart
end if
PreFactor2=uniPart*cutPrefactor
end function PreFactor2
!!!! Set Prefactor1
!!!! it multiplies the cross-section as a whole, does not participate in the integration
function PreFactor1(p1)
real(dp)::Prefactor1
integer::p1
SELECT CASE(p1)
CASE(1)
PreFactor1=1d0
CASE(2)
PreFactor1=1d0
CASE DEFAULT
write(*,*) 'ERROR: arTeMiDe.TMDX_DY: unknown process p1=',p1,' .Evaluation stop.'
stop
END SELECT
end function PreFactor1
!!! check is the process y-symmetric
function IsySymmetric(p2)
logical::IsySymmetric
integer::p2
if(p2==1 .or. p2==3 ) then
IsySymmetric=.true.
else
IsySymmetric=.false.
end if
end function IsySymmetric
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!FUNCTIONS CALCULATING CROSS-SECTIONS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------UNINTEGRATED------------------------------------------------------------------
!!! this is help function which evaluate xSec at single qt (without lists) with only prefactor 2
!!!! this is extended (and default) version of xSec, which include all parameters
function xSec(var,process,incCut,CutParam)
real(dp):: xSec,FF
real(dp)::x1,x2,scaleMu,scaleZeta
real(dp),dimension(1:7),intent(in)::var
logical,intent(in)::incCut
real(dp),dimension(1:4),intent(in)::CutParam
integer,dimension(1:3),intent(in)::process
GlobalCounter=GlobalCounter+1
if(TMDF_IsconvergenceLost()) then
xSec=1d9
return
end if
!!! setting values of X
x1=var(5)*var(7)
x2=var(5)/var(7)
!!! setting values of scales
scaleZeta=var(4)+exactScales*var(1)**2 !! zeta=Q2+qT^2
scaleMu=sqrt(scaleZeta)
FF=TMDF_F(var(4),var(1),x1,x2,scaleMu*c2_global,scaleZeta,scaleZeta,process(3))
xSec=PreFactor2(var,process,incCut,CutParam)*FF
!write(*,*) "{",var(4),",",x1,"},"!,z1
end function xSec
!---------------------------------INTEGRATED over Y---------------------------------------------------------------
!!! function determines the best value of PT-sections from PT-bin size, and Q
!!! it is determined by formula Q/PT< val/ (2 k) => def+2K
function NumPT_auto(dPT,Q)
real,parameter::val=40.
real(dp)::dPT,Q,rat
integer::i,NumPT_auto
rat=Q/dPT
if(rat>40.) then
NumPT_auto=NumPTdefault
return
else
do i=1,25
if(rat>(40d0/2d0/i)) then
NumPT_auto=NumPTdefault+2*i
return
end if
end do
end if
if(outputlevel>1) then
write(*,*) WarningString('Fail to automatically determine number of Pt-section for a bin.',moduleName)
write(*,*) ' ... Possibly Pt-bin is too large', dPT
end if
NumPT_auto=NumPTdefault+12
end function NumPT_auto
function yFromXF(xF,var)
real(dp),dimension(1:7)::var
real(dp):: yFromXF,xF
! yFromXF=asinh(Sqrt(s_global/(Q2_global+qt**2))*xF/2d0)
yFromXF=asinh(xF/2d0/var(5))
end function yFromXF
!!!
function Xsec_Yint(var,process,incCut,CutParam,ymin_in,ymax_in)
real(dp),dimension(1:7) :: var
logical,intent(in)::incCut
real(dp),dimension(1:4),intent(in)::CutParam
real(dp) :: Xsec_Yint
real(dp) :: ymin, ymax,ymin_in,ymax_in
real(dp) :: ymin_Check,ymax_Check
integer,dimension(1:3),intent(in)::process
if(TMDF_IsconvergenceLost()) then
Xsec_Yint=1d9
return
end if
!!! evaluate correspnding y's
!!! in the case process=2 the integral is over xF
if(process(1)==2) then
ymin=yFromXF(ymin_in,var)
ymax=yFromXF(ymax_in,var)
else
ymin=ymin_in
ymax=ymax_in
end if
ymin_Check=log(var(5))+0.000000001d0
ymax_Check=-log(var(5))-0.000000001d0
if(IsySymmetric(process(2)) .and. (ABS(ymax+ymin)<tolerance)) then!!! symetric integral
if(ymax > ymax_check) then
ymax=ymax_Check
end if!!!!! else case: automatically taken into account
Xsec_Yint=2d0*integralOverYpoint_S(var,process,incCut,CutParam,0d0,ymax)!!! 2 since symmetric
else !!!non-symmetric integral!!!!!!!!
if(ymax<ymin_check .or. ymin>ymax_check) then !!! the case then y is outside physicsl region
Xsec_Yint=0d0
else
if(ymax > ymax_check) then
ymax=yMax_check
end if!!!!! else case: automatically taken into account
if(ymin < ymin_check) then
ymin=ymin_check
end if!!!!! else case: automatically taken into account
Xsec_Yint=integralOverYpoint_S(var,process,incCut,CutParam,ymin,ymax)
end if
end if
end function Xsec_Yint
!--------------Simpsons--------------------
!!!! parameter valueMax remembers the approximate value of integral to weight the tolerance.
!!!! evaluation is done by adaptive simpson
!!!! First we evaluate over 5 points and estimate the integral, and then split it to 3+3 and send to adaptive
!!!! Thus minimal number of points =9
function integralOverYpoint_S(var,process,incCut,CutParam,yMin_in,yMax_in)
real(dp),dimension(1:7)::var
logical,intent(in)::incCut
real(dp),dimension(1:4),intent(in)::CutParam
integer,dimension(1:3),intent(in)::process
real(dp) ::integralOverYpoint_S
real(dp) :: X1,X2,X3,X4,X5
real(dp) :: y2,y3,y4,deltay
real(dp) :: yMin_in,yMax_in
real(dp)::valueMax
deltay=yMax_in-yMin_in
y2=yMin_in+deltay/4d0
y3=yMin_in+deltay/2d0
y4=yMax_in-deltay/4d0
call SetY(yMin_in,var)
X1= xSec(var,process,incCut,CutParam)
call SetY(y2,var)
X2= xSec(var,process,incCut,CutParam)
call SetY(y3,var)
X3= xSec(var,process,incCut,CutParam)
call SetY(y4,var)
X4= xSec(var,process,incCut,CutParam)
call SetY(yMax_in,var)
X5= xSec(var,process,incCut,CutParam)
!!approximate integral value
valueMax=deltay*(X1+4d0*X2+2d0*X3+4d0*X4+X5)/12d0
integralOverYpoint_S=IntegralOverYpoint_S_Rec(var,process,incCut,CutParam,yMin_in,y3,X1,X2,X3,valueMax)+&
IntegralOverYpoint_S_Rec(var,process,incCut,CutParam,y3,yMax_in,X3,X4,X5,valueMax)
end function integralOverYpoint_S
!!!! X1,X3,X5 are cross-sections at end (X1,X5) and central (X3) points of integraitons
recursive function integralOverYpoint_S_Rec(var,process,incCut,CutParam,yMin_in,yMax_in,X1,X3,X5,valueMax) result(interX)
real(dp),dimension(1:7) ::var
logical,intent(in)::incCut
real(dp),dimension(1:4),intent(in)::CutParam
integer,dimension(1:3),intent(in)::process
real(dp) :: interX,X1,X2,X3,X4,X5
real(dp) :: valueAB,valueACB
real(dp) :: yMin_in,yMax_in,y2,y3,y4,deltay
real(dp),intent(in)::valueMax
deltay=yMax_in-yMin_in
y2=yMin_in+deltay/4d0
y3=yMin_in+deltay/2d0
y4=yMax_in-deltay/4d0
call SetY(y2,var)
X2= xSec(var,process,incCut,CutParam)
call SetY(y4,var)
X4= xSec(var,process,incCut,CutParam)
valueAB=deltay*(X1+4d0*X3+X5)/6d0
valueACB=deltay*(X1+4d0*X2+2d0*X3+4d0*X4+X5)/12d0
!write(*,*) yMin_in,yMax_in,(valueACB-valueAB)/valueMax,ABS((valueACB-valueAB)/valueMax)>tolerance
!if(GlobalCounter>200) stop
! if(abs(valueMax)<1d-10) write(*,*) valueMax
If(ABS((valueACB-valueAB)/valueMax)>tolerance) then
interX=integralOverYpoint_S_Rec(var,process,incCut,CutParam,yMin_in,y3,X1,X2,X3,valueMax)&
+integralOverYpoint_S_Rec(var,process,incCut,CutParam,y3,yMax_in,X3,X4,X5,valueMax)
else
interX=valueACB
end if
end function integralOverYpoint_S_Rec
!---------------------------------INTEGRATED over Q---------------------------------------------------------------
function Xsec_Qint(var,process,incCut,CutParam,Qmin_in,Qmax_in)
real(dp),dimension(1:7)::var
logical,intent(in)::incCut
real(dp),dimension(1:4),intent(in)::CutParam
integer,dimension(1:3),intent(in)::process
real(dp),intent(in):: Qmin_in,Qmax_in
real(dp):: Xsec_Qint
integer::numSec,i
real(dp)::dQ
if(TMDF_IsconvergenceLost()) then
Xsec_Qint=1d9
return
end if
!!! check how many maxQbins is inside the integration range (+1)
numSec=INT((Qmax_in-Qmin_in)/maxQbinSize)+1
if(numSec==1) then
!!! if the bin is smaller than maxQbinSize, integrate as is
Xsec_Qint=integralOverQpoint_S(var,process,incCut,CutParam,Qmin_in,Qmax_in)
else
!!! else divide to smaler bins and sum the integrals
dQ=(Qmax_in-Qmin_in)/numSec !!! size of new bins
Xsec_Qint=0d0
do i=0,numSec-1
Xsec_Qint=Xsec_Qint + &
integralOverQpoint_S(var,process,incCut,CutParam,Qmin_in+i*dQ,Qmin_in+(i+1)*dQ)
end do
end if
end function Xsec_Qint
!--------------Simpsons--------------------
!!!! parameter valueMax remembers the initial value of integral to weight the tolerance.
!!!! First we evaluate over 5 points and estimate the integral, and then split it to 3+3 and send to adaptive
!!!! Thus minimal number of points =9
!!!! taking into account minimum calls of y-integral we have =81 points
function integralOverQpoint_S(var,process,incCut,CutParam,QMin_in,QMax_in)
real(dp),dimension(1:7)::var
logical,intent(in)::incCut
real(dp),dimension(1:4),intent(in)::CutParam
integer,dimension(1:3),intent(in)::process
real(dp) ::integralOverQpoint_S
real(dp) :: X1,X2,X3,X4,X5
real(dp) :: QMin_in,QMax_in
real(dp)::valueMax,Q2,Q3,Q4,deltaQ
deltaQ=QMax_in-QMin_in
Q2=QMin_in+deltaQ/4d0
Q3=QMin_in+deltaQ/2d0
Q4=QMax_in-deltaQ/4d0
call SetQ(QMin_in,var)
X1=2*QMin_in*xSec(var,process,incCut,CutParam)
call SetQ(Q2,var)
X2=2*Q2*xSec(var,process,incCut,CutParam)
call SetQ(Q3,var)
X3=2*Q3*xSec(var,process,incCut,CutParam)
call SetQ(Q4,var)
X4=2*Q4*xSec(var,process,incCut,CutParam)
call SetQ(QMax_in,var)
X5=2*Qmax_in*xSec(var,process,incCut,CutParam)
!!approximate integral value
valueMax=deltaQ*(X1+4d0*X2+2d0*X3+4d0*X4+X5)/12d0
integralOverQpoint_S=IntegralOverQpoint_S_Rec(var,process,incCut,CutParam,QMin_in,Q3,X1,X2,X3,valueMax)+&
IntegralOverQpoint_S_Rec(var,process,incCut,CutParam,Q3,QMax_in,X3,X4,X5,valueMax)
end function integralOverQpoint_S
!!!! X1,X3,X5 are cross-sections at end (X1,X5) and central (X3) points of integraitons
recursive function integralOverQpoint_S_Rec(var,process,incCut,CutParam,QMin_in,QMax_in,X1,X3,X5,valueMax) result(interX)
real(dp),dimension(1:7)::var
logical,intent(in)::incCut
real(dp),dimension(1:4),intent(in)::CutParam
integer,dimension(1:3),intent(in)::process
real(dp) :: interX,X1,X2,X3,X4,X5
real(dp) :: valueAB,valueACB
real(dp) :: QMin_in,QMax_in,Q2,Q3,Q4,deltaQ
real(dp),intent(in)::valueMax
deltaQ=QMax_in-QMin_in
Q2=QMin_in+deltaQ/4d0
Q3=QMin_in+deltaQ/2d0
Q4=QMax_in-deltaQ/4d0
call SetQ(Q2,var)
X2=2*Q2*xSec(var,process,incCut,CutParam)
call SetQ(Q4,var)
X4=2*Q4*xSec(var,process,incCut,CutParam)
valueAB=deltaQ*(X1+4d0*X3+X5)/6d0
valueACB=deltaQ*(X1+4d0*X2+2d0*X3+4d0*X4+X5)/12d0
If(ABS((valueACB-valueAB)/valueMax)>tolerance) then
interX=integralOverQpoint_S_Rec(var,process,incCut,CutParam,QMin_in,Q3,X1,X2,X3,valueMax)&
+integralOverQpoint_S_Rec(var,process,incCut,CutParam,Q3,Qmax_in,X3,X4,X5,valueMax)
else
interX=valueACB
end if
end function integralOverQpoint_S_Rec
!---------------------------------INTEGRATED over Y over Q---------------------------------------------------------------
!!!! No need for check over Y they take a place within y-integration
!!!! to integrate over Q I use adaptive Simpson. (defined below)
!!!! before the integration over Q I check the size of Q-bin,
!!!! if Q-bin is large I split desect the integration range to smaller
function Xsec_Qint_Yint(var,process,incCut,CutParam,Qmin_in,Qmax_in,ymin_in,ymax_in)
real(dp),dimension(1:7)::var
logical,intent(in)::incCut
real(dp),dimension(1:4),intent(in)::CutParam
integer,dimension(1:3),intent(in)::process
real(dp),intent(in) :: yMin_in,yMax_in,QMin_in,QMax_in
real(dp):: Xsec_Qint_Yint
integer::numSec,i
real(dp)::dQ
if(TMDF_IsconvergenceLost()) then
Xsec_Qint_Yint=1d9
return
end if
!!! check how many maxQbins is inside the integration range (+1)
numSec=INT((Qmax_in-Qmin_in)/maxQbinSize)+1
if(numSec==1) then
!!! if the bin is smaller than maxQbinSize, integrate as is
Xsec_Qint_Yint=Xsec_Qint_Yint_in(var,process,incCut,CutParam,Qmin_in,Qmax_in,ymin_in,ymax_in)
else
!!! else divide to smaler bins and sum the integrals
dQ=(Qmax_in-Qmin_in)/numSec !!! size of new bins
Xsec_Qint_Yint=0d0
do i=0,numSec-1
Xsec_Qint_Yint=Xsec_Qint_Yint + &
Xsec_Qint_Yint_in(var,process,incCut,CutParam,Qmin_in+i*dQ,Qmin_in+(i+1)*dQ,ymin_in,ymax_in)
end do
end if
end function Xsec_Qint_Yint
!--------------Simpsons--------------------
!!!! parameter valueMax remembers the initial value of integral to weight the tolerance.
!!!! First we evaluate over 5 points and estimate the integral, and then split it to 3+3 and send to adaptive
!!!! Thus minimal number of points =9
!!!! taking into account minimum calls of y-integral we have =81 points
function Xsec_Qint_Yint_in(var,process,incCut,CutParam,Qmin_in,Qmax_in,ymin_in,ymax_in)
real(dp),dimension(1:7)::var
logical,intent(in)::incCut
real(dp),dimension(1:4),intent(in)::CutParam
integer,dimension(1:3),intent(in)::process
real(dp),intent(in) :: yMin_in,yMax_in,QMin_in,QMax_in
real(dp):: Xsec_Qint_Yint_in
real(dp) :: X1,X2,X3,X4,X5
real(dp)::valueMax,Q2,Q3,Q4,deltaQ
deltaQ=QMax_in-QMin_in
Q2=QMin_in+deltaQ/4d0
Q3=QMin_in+deltaQ/2d0
Q4=QMax_in-deltaQ/4d0
call SetQ(QMin_in,var)
X1=2*QMin_in*Xsec_Yint(var,process,incCut,CutParam,yMin_in,yMax_in)
call SetQ(Q2,var)
X2=2*Q2*Xsec_Yint(var,process,incCut,CutParam,yMin_in,yMax_in)
call SetQ(Q3,var)
X3=2*Q3*Xsec_Yint(var,process,incCut,CutParam,yMin_in,yMax_in)
call SetQ(Q4,var)
X4=2*Q4*Xsec_Yint(var,process,incCut,CutParam,yMin_in,yMax_in)
call SetQ(QMax_in,var)
X5=2*QMax_in*Xsec_Yint(var,process,incCut,CutParam,yMin_in,yMax_in)
!!approximate integral value
valueMax=deltaQ*(X1+4d0*X2+2d0*X3+4d0*X4+X5)/12d0
Xsec_Qint_Yint_in=IntegralOverQYpoint_S_Rec(var,process,incCut,CutParam,QMin_in,Q3,yMin_in,yMax_in,X1,X2,X3,valueMax)+&
IntegralOverQYpoint_S_Rec(var,process,incCut,CutParam,Q3,QMax_in,yMin_in,yMax_in,X3,X4,X5,valueMax)
end function Xsec_Qint_Yint_in
!!!! X1,X3,X5 are cross-sections at end (X1,X5) and central (X3) points of integraitons
recursive function integralOverQYpoint_S_Rec(var,process,incCut,CutParam,&
QMin_in,QMax_in,yMin_in,yMax_in,X1,X3,X5,valueMax) result(interX)
real(dp),dimension(1:7)::var
logical,intent(in)::incCut
real(dp),dimension(1:4),intent(in)::CutParam
integer,dimension(1:3),intent(in)::process
real(dp) :: interX,X1,X2,X3,X4,X5
real(dp) :: valueAB,valueACB
real(dp) :: yMin_in,yMax_in,QMin_in,QMax_in,Q2,Q3,Q4,deltaQ
real(dp),intent(in)::valueMax
deltaQ=QMax_in-QMin_in
Q2=QMin_in+deltaQ/4d0
Q3=QMin_in+deltaQ/2d0
Q4=QMax_in-deltaQ/4d0
call SetQ(Q2,var)
X2=2*Q2*Xsec_Yint(var,process,incCut,CutParam,yMin_in,yMax_in)
call SetQ(Q4,var)
X4=2*Q4*Xsec_Yint(var,process,incCut,CutParam,yMin_in,yMax_in)
valueAB=deltaQ*(X1+4d0*X3+X5)/6d0
valueACB=deltaQ*(X1+4d0*X2+2d0*X3+4d0*X4+X5)/12d0
If(ABS((valueACB-valueAB)/valueMax)>tolerance) then
interX=integralOverQYpoint_S_Rec(var,process,incCut,CutParam,QMin_in,Q3,yMin_in,yMax_in,X1,X2,X3,valueMax)&
+integralOverQYpoint_S_Rec(var,process,incCut,CutParam,Q3,Qmax_in,yMin_in,yMax_in,X3,X4,X5,valueMax)
else
interX=valueACB
end if
end function integralOverQYpoint_S_Rec
!---------------------------------INTEGRATED over Y over Q over pT-------------------------------------------------------------
!!!integration over PT is made by Num-sections
!!!N even
function Xsec_PTint_Qint_Yint(process,incCut,CutParam,s_in,qt_min,qt_max,Q_min,Q_max,ymin_in,ymax_in,Num)
real(dp),dimension(1:7)::var
logical,intent(in)::incCut
real(dp),dimension(1:4),intent(in)::CutParam
integer,dimension(1:3),intent(in)::process
real(dp):: Xsec_PTint_Qint_Yint,X0,Xfin
real(dp):: ymin_in,ymax_in,Q_min,Q_max,qt_min,qt_max,s_in
integer :: Num
if(TMDF_IsconvergenceLost()) then
Xsec_PTint_Qint_Yint=1d9
return
end if
if(qt_min<1d-3) then
var=kinematicArray(1d-3,s_in,(Q_min+Q_max)/2d0,(ymin_in+ymax_in)/2d0)
else
var=kinematicArray(qt_min,s_in,(Q_min+Q_max)/2d0,(ymin_in+ymax_in)/2d0)
end if
X0=2d0*qt_min*Xsec_Qint_Yint(var,process,incCut,CutParam,Q_min,Q_max,ymin_in,ymax_in)
call Xsec_PTint_Qint_Yint_0(process,incCut,CutParam,s_in,qt_min,qt_max,Q_min,Q_max,ymin_in,ymax_in,Num,Xfin,X0)
Xsec_PTint_Qint_Yint=Xfin
end function Xsec_PTint_Qint_Yint
!!!integration over PT is made by Num-sections
!!!N even
!!! X0 is value of the function at qt_min input
!!! X0 is value of the function at qt_max output
!!! !!! Xfin is value of the cross-section
subroutine Xsec_PTint_Qint_Yint_0(process,incCut,CutParam,s_in,qt_min,qt_max,Q_min,Q_max,ymin_in,ymax_in,Num,Xfin,X0)
real(dp),dimension(1:7)::var
logical,intent(in)::incCut
real(dp),dimension(1:4),intent(in)::CutParam
integer,dimension(1:3),intent(in)::process
real(dp):: Xfin,X0
real(dp):: ymin_in,ymax_in,Q_min,Q_max,qt_min,qt_max,s_in
integer :: i,Num
real(dp)::deltaQT,qT_cur,inter
if(mod(num,2)>0) then
write(*,*) 'ERROR: arTeMiDe_DY: number of Simpson sections is odd. Evaluation stop.'
stop
end if
deltaQT=(qt_max-qt_min)/Num
inter=X0!!!first term is calculated eqarlier
var=kinematicArray(qt_min,s_in,(Q_min+Q_max)/2d0,(ymin_in+ymax_in)/2d0)
!!!! even terms
do i=1,Num-1,2
qT_cur=qt_min+i*deltaQT
call SetQT(qT_cur,var)
inter=inter+8d0*qt_cur*Xsec_Qint_Yint(var,process,incCut,CutParam,Q_min,Q_max,ymin_in,ymax_in)
end do
if(Num>2) then
!!!! odd terms
do i=2,Num-2,2
qT_cur=qt_min+i*deltaQT
call SetQT(qT_cur,var)
inter=inter+4d0*qt_cur*Xsec_Qint_Yint(var,process,incCut,CutParam,Q_min,Q_max,ymin_in,ymax_in)
end do
end if
call SetQT(qT_max,var)
X0=2d0*qt_max*Xsec_Qint_Yint(var,process,incCut,CutParam,Q_min,Q_max,ymin_in,ymax_in)!!!! last term
inter=inter+X0
Xfin=deltaQT/3d0*inter
end subroutine Xsec_PTint_Qint_Yint_0
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!INTERFACES TO CALCULATING CROSS-SECTIONS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------UN-INTEGRATED------------------------------------------------------------------
!!qt_list is the list of requred qt -point,
!! X_list is variable to store results (should be of the same dimension as qt_list)
subroutine xSecList(X_list,qt_List)
real(dp), intent(in) :: qt_list(:)
real(dp), intent(out) :: X_list(:)
integer :: i,length
real(dp),dimension(1:7)::var
length=size(qt_list)
CallCounter=CallCounter+length
do i=1,length
var=kinematicArray(qt_List(i),s_global,Q_global,y_global)
X_List(i)=PreFactor1(process_global(1))*xSec(var,process_global,includeCuts_global,CutParameters_global)
end do
end subroutine xSecList
!!!!Evaluate differential xSec at single point
subroutine xSecSingle(X,qT_in)
real(dp),dimension(1:7)::var
real(dp):: X,qT_in
CallCounter=CallCounter+1
var=kinematicArray(qt_in,s_global,Q_global,y_global)
X=PreFactor1(process_global(1))*xSec(var,process_global,includeCuts_global,CutParameters_global)
end subroutine xSecSingle
!---------------------------------INTEGRATED over Y---------------------------------------------------------------
!!qt_list is the list of requred qt -point,
!! X_list is variable to store results (should be of the same dimension as qt_list)
subroutine xSecList_Yint(X_list,qt_List,yMin_in,yMax_in)
real(dp), intent(in) :: qt_list(:)
real(dp), intent(out) :: X_list(:)
real(dp)::yMin_in,yMax_in
real(dp),dimension(1:7)::var
integer :: i,length
length=size(qt_list)
CallCounter=CallCounter+length
!$OMP PARALLEL DO DEFAULT(SHARED) PRIVATE(var)
do i=1,length
var=kinematicArray(qt_List(i),s_global,Q_global,y_global)
X_List(i)=PreFactor1(process_global(1))*Xsec_Yint(var,process_global,includeCuts_global,CutParameters_global,yMin_in,yMax_in)
end do
!$OMP END PARALLEL DO
end subroutine xSecList_Yint
!!
subroutine xSecSingle_Yint(X,qt,yMin_in,yMax_in)
real(dp)::X,qT
real(dp)::yMin_in,yMax_in
real(dp),dimension(1:7)::var
CallCounter=CallCounter+1
var=kinematicArray(qt,s_global,Q_global,y_global)
X=PreFactor1(process_global(1))*Xsec_Yint(var,process_global,includeCuts_global,CutParameters_global,yMin_in,yMax_in)
end subroutine xSecSingle_Yint
!!qt_list is the list of requred qt -point,
!! X_list is variable to store results (should be of the same dimension as qt_list)
subroutine xSecList_Ycomplete(X_list,qt_List)
real(dp), intent(in) :: qt_list(:)
real(dp), intent(out) :: X_list(:)
integer :: i,length
real(dp),dimension(1:7)::var
length=size(qt_list)
CallCounter=CallCounter+length
!$OMP PARALLEL DO DEFAULT(SHARED) PRIVATE(var)
do i=1,length
var=kinematicArray(qt_List(i),s_global,Q_global,y_global)
X_List(i)=PreFactor1(process_global(1))*Xsec_Yint(var,process_global,includeCuts_global,CutParameters_global,&
log(var(5)),-log(var(5)))
end do
!$OMP END PARALLEL DO
end subroutine xSecList_Ycomplete
subroutine xSecSingle_Ycomplete(X,qt)
real(dp)::X,qT
real(dp),dimension(1:7)::var
CallCounter=CallCounter+1
var=kinematicArray(qt,s_global,Q_global,y_global)
X=PreFactor1(process_global(1))*Xsec_Yint(var,process_global,includeCuts_global,CutParameters_global,log(var(5)),-log(var(5)))
end subroutine xSecSingle_Ycomplete
!---------------------------------INTEGRATED over Q---------------------------------------------------------------
!!qt_list is the list of requred qt -point,
!! X_list is variable to store results (should be of the same dimension as qt_list)
subroutine xSecList_Qint(X_list,qt_List,Q_min,Q_max)
real(dp), intent(in) :: qt_list(:)
real(dp), intent(out) :: X_list(:)
real(dp)::Q_min,Q_max
integer :: i,length
real(dp),dimension(1:7)::var
length=size(qt_list)
CallCounter=CallCounter+length
!$OMP PARALLEL DO DEFAULT(SHARED) PRIVATE(var)
do i=1,length
var=kinematicArray(qt_List(i),s_global,Q_global,y_global)
X_List(i)=PreFactor1(process_global(1))*Xsec_Qint(var,process_global,includeCuts_global,CutParameters_global,Q_min,Q_max)
end do
!$OMP END PARALLEL DO
end subroutine xSecList_Qint
!!
subroutine xSecSingle_Qint(X,qt,Q_min,Q_max)
real(dp)::X,qT
real(dp)::Q_min,Q_max
real(dp),dimension(1:7)::var
CallCounter=CallCounter+1
var=kinematicArray(qt,s_global,Q_global,y_global)
X=PreFactor1(process_global(1))*Xsec_Qint(var,process_global,includeCuts_global,CutParameters_global,Q_min,Q_max)
end subroutine xSecSingle_Qint
!---------------------------------INTEGRATED over Y over Q---------------------------------------------------------------
!!qt_list is the list of requred qt -point,
!! X_list is variable to store results (should be of the same dimension as qt_list)
subroutine xSecList_Qint_Yint(X_list,qt_List,Q_min,Q_max,yMin_in,yMax_in)
real(dp), intent(in) :: qt_list(:)
real(dp), intent(out) :: X_list(:)
real(dp)::yMin_in,yMax_in,Q_min,Q_max
integer :: i,length
real(dp),dimension(1:7)::var
length=size(qt_list)
CallCounter=CallCounter+length
!$OMP PARALLEL DO DEFAULT(SHARED) PRIVATE(var)
do i=1,length
var=kinematicArray(qt_List(i),s_global,Q_global,y_global)
X_List(i)=PreFactor1(process_global(1))*Xsec_Qint_Yint(var,process_global,includeCuts_global,CutParameters_global,&
Q_min,Q_max,yMin_in,yMax_in)
end do
!$OMP END PARALLEL DO
end subroutine xSecList_Qint_Yint
!!
subroutine xSecSingle_Qint_Yint(X,qt,Q_min,Q_max,yMin_in,yMax_in)
real(dp)::X,qT
real(dp)::yMin_in,yMax_in,Q_min,Q_max
real(dp),dimension(1:7)::var
CallCounter=CallCounter+1
var=kinematicArray(qt,s_global,Q_global,y_global)
X=PreFactor1(process_global(1))*Xsec_Qint_Yint(var,process_global,includeCuts_global,CutParameters_global,&
Q_min,Q_max,yMin_in,yMax_in)
end subroutine xSecSingle_Qint_Yint
!!qt_list is the list of requred qt -point,
!! X_list is variable to store results (should be of the same dimension as qt_list)
subroutine xSecList_Qint_Ycomplete(X_list,qt_List,Q_min,Q_max)
real(dp), intent(in) :: qt_list(:)
real(dp), intent(out) :: X_list(:)
real(dp)::Q_min,Q_max
integer :: i,length
real(dp),dimension(1:7)::var
length=size(qt_list)
CallCounter=CallCounter+length
!$OMP PARALLEL DO DEFAULT(SHARED) PRIVATE(var)
do i=1,length
var=kinematicArray(qt_List(i),s_global,Q_global,y_global)
X_List(i)=PreFactor1(process_global(1))*Xsec_Qint_Yint(var,process_global,includeCuts_global,CutParameters_global,&
Q_min,Q_max,log(var(5)),-log(var(5)))
end do
!$OMP END PARALLEL DO
end subroutine xSecList_Qint_Ycomplete
subroutine xSecSingle_Qint_Ycomplete(X,qt,Q_min,Q_max)
real(dp)::X,qT
real(dp)::Q_min,Q_max
real(dp),dimension(1:7)::var
CallCounter=CallCounter+1
var=kinematicArray(qt,s_global,Q_global,y_global)
X=PreFactor1(process_global(1))*Xsec_Qint_Yint(var,process_global,includeCuts_global,CutParameters_global,&
Q_min,Q_max,log(var(5)),-log(var(5)))
end subroutine xSecSingle_Qint_Ycomplete
!---------------------------------INTEGRATED over Y over Q over PT----------------------------------------------------------
!!qt_list is the list of requred qt -point,
!! X_list is variable to store results (should be of the same dimension as qt_list)
subroutine xSecList_PTintN_Qint_Yint(X_list,qtMIN_List,qtMAX_list,Q_min,Q_max,yMin_in,yMax_in,num)
real(dp), intent(in) :: qtMIN_list(:),qtMAX_list(:)
real(dp), intent(out) :: X_list(:)
real(dp)::yMin_in,yMax_in,Q_min,Q_max
integer :: i,length,num
length=size(qtMIN_list)
CallCounter=CallCounter+length
!$OMP PARALLEL DO DEFAULT(SHARED)
do i=1,length
X_List(i)=PreFactor1(process_global(1))*Xsec_PTint_Qint_Yint(process_global,includeCuts_global,CutParameters_global,&
s_global,qtMIN_List(i),qtMAX_list(i),Q_min,Q_max,yMin_in,yMax_in,num)
end do
!$OMP END PARALLEL DO
end subroutine xSecList_PTintN_Qint_Yint
subroutine xSecList_PTint_Qint_Yint(X_list,qtMIN_List,qtMAX_list,Q_min,Q_max,yMin_in,yMax_in)
real(dp), intent(in) :: qtMIN_list(:),qtMAX_list(:)
real(dp), intent(out) :: X_list(:)
real(dp)::yMin_in,yMax_in,Q_min,Q_max
call xSecList_PTintN_Qint_Yint(X_list,qtMIN_List,qtMAX_list,Q_min,Q_max,yMin_in,yMax_in,NumPTdefault)
end subroutine xSecList_PTint_Qint_Yint
subroutine xSecListList_PTintN_Qint_Yint(X_list,qt_List,Q_min,Q_max,yMin_in,yMax_in,num)
real(dp), intent(in) :: qt_list(:)
real(dp), intent(out) :: X_list(:)
real(dp)::Q_min,Q_max,X0,Xfin,yMin_in,yMax_in
integer :: i,length,length2,num
real(dp),dimension(1:7)::var
length2=size(qt_list)
length=size(X_list)
if( (length2-length) .ne. 1) then
write(*,*) 'ERROR: arTeMiDe_DY: pt integration : sizes of lists (for cross-seciont and pt-bins) are inconsistent'
write(*,*) 'Evaluation stop'
stop
end if
!-----------------parallel version-------------
!$ call xSecList_PTintN_Qint_Yint(X_list,qt_List(1:length2-1),qt_list(2:length2),Q_min,Q_max,yMin_in,yMax_in,num)
!$ return
!-----------------single-thread version-------------
CallCounter=CallCounter+length
var=kinematicArray(qt_list(1),s_global,Q_global,y_global)
X0=2d0*qt_list(1)*Xsec_Qint_Yint(var,process_global,includeCuts_global,CutParameters_global,Q_min,Q_max,yMin_in,yMax_in)
do i=1,length
call Xsec_PTint_Qint_Yint_0(process_global,includeCuts_global,CutParameters_global,&
s_global,qt_list(i),qt_list(i+1),Q_min,Q_max,yMin_in,yMax_in,Num,Xfin,X0)
X_List(i)=PreFactor1(process_global(1))*Xfin
end do
end subroutine xSecListList_PTintN_Qint_Yint
subroutine xSecListList_PTint_Qint_Yint(X_list,qt_List,Q_min,Q_max,yMin_in,yMax_in)
real(dp), intent(in) :: qt_list(:)
real(dp), intent(out) :: X_list(:)
real(dp)::Q_min,Q_max,yMin_in,yMax_in
call xSecListList_PTintN_Qint_Yint(X_list,qt_List,Q_min,Q_max,yMin_in,yMax_in,NumPTdefault)
end subroutine xSecListList_PTint_Qint_Yint
!!
subroutine xSecSingle_PTintN_Qint_Yint(X,qt_Min,qt_Max,Q_min,Q_max,yMin_in,yMax_in,num)
real(dp)::X,qt_Min,qt_Max
real(dp)::yMin_in,yMax_in,Q_min,Q_max
integer::num
CallCounter=CallCounter+1
X=PreFactor1(process_global(1))*Xsec_PTint_Qint_Yint(process_global,includeCuts_global,CutParameters_global,&
s_global,qt_Min,qt_Max,Q_min,Q_max,yMin_in,yMax_in,num)
end subroutine xSecSingle_PTintN_Qint_Yint
subroutine xSecSingle_PTint_Qint_Yint(X,qt_Min,qt_Max,Q_min,Q_max,yMin_in,yMax_in)
real(dp)::X,qt_Min,qt_Max
real(dp)::yMin_in,yMax_in,Q_min,Q_max
X=PreFactor1(process_global(1))*Xsec_PTint_Qint_Yint(process_global,includeCuts_global,CutParameters_global,&
s_global, qt_Min,qt_Max,Q_min,Q_max,yMin_in,yMax_in,NumPTdefault)
end subroutine xSecSingle_PTint_Qint_Yint
subroutine xSecListPY_PTint_Qint_Yint(X_list,qtMIN_List,qtMAX_list,Q_min,Q_max,yMin_List,yMax_List,num)
real(dp), intent(in) :: qtMIN_list(:),qtMAX_list(:),yMin_List(:),yMax_List(:)
real(dp), intent(out) :: X_list(:)
real(dp)::Q_min,Q_max
integer :: i,length,num
length=size(qtMIN_list)
if(size(qtMAX_list)/=length) then
write(*,*) 'ERROR: arTeMiDe_DY: pt integration (2) : sizes of lists (pt min-max bins) are inconsistent'
write(*,*) 'Evaluation stop'
stop
end if
if(size(yMin_List)/=length) then
write(*,*) 'ERROR: arTeMiDe_DY: pt integration (3) : sizes of lists (pt-bins vs yMin) are inconsistent'
write(*,*) 'Evaluation stop'
stop
end if
if(size(yMax_List)/=length) then
write(*,*) 'ERROR: arTeMiDe_DY: pt integration (4) : sizes of lists (pt-bins vs yMax) are inconsistent'
write(*,*) 'Evaluation stop'
stop
end if
CallCounter=CallCounter+length
!$OMP PARALLEL DO DEFAULT(SHARED)
do i=1,length
X_List(i)=PreFactor1(process_global(1))*Xsec_PTint_Qint_Yint(process_global,includeCuts_global,CutParameters_global,&
s_global,qtMIN_List(i),qtMAX_list(i),Q_min,Q_max,yMin_List(i),yMax_List(i),num)
end do
!$OMP END PARALLEL DO
end subroutine xSecListPY_PTint_Qint_Yint
subroutine xSecListPY_PTintN_Qint_Yint(X_list,qtMIN_List,qtMAX_list,Q_min,Q_max,yMin_List,yMax_List)
real(dp), intent(in) :: qtMIN_list(:),qtMAX_list(:),yMin_List(:),yMax_List(:)
real(dp), intent(out) :: X_list(:)
real(dp)::Q_min,Q_max
call xSecListPY_PTint_Qint_Yint(X_list,qtMIN_List,qtMAX_list,Q_min,Q_max,yMin_List,yMax_List,NumPTdefault)
end subroutine xSecListPY_PTintN_Qint_Yint
!---------------------------------INTEGRATED over Y (complete) over Q over PT---------------------------------------------------!
!!qt_list is the list of requred qt -point,
!! X_list is variable to store results (should be of the same dimension as qt_list)
!! I set y in (-1000,1000) since the check is made in the integration routine
subroutine xSecList_PTintN_Qint_Ycomplete(X_list,qtMIN_List,qtMAX_list,Q_min,Q_max,num)
real(dp), intent(in) :: qtMIN_list(:),qtMAX_list(:)
real(dp), intent(out) :: X_list(:)
real(dp)::Q_min,Q_max
integer :: i,length,num
length=size(qtMIN_list)
CallCounter=CallCounter+length
!$OMP PARALLEL DO DEFAULT(SHARED)
do i=1,length
X_List(i)=PreFactor1(process_global(1))*Xsec_PTint_Qint_Yint(process_global,includeCuts_global,CutParameters_global,&
s_global,qtMIN_list(i),qtMAX_list(i),Q_min,Q_max,-1000d0,1000d0,num)
end do
!$OMP END PARALLEL DO
end subroutine xSecList_PTintN_Qint_Ycomplete
subroutine xSecSingle_PTintN_Qint_Ycomplete(X,qt_min,qt_max,Q_min,Q_max,num)
real(dp)::X,qT_min,qT_max
real(dp)::Q_min,Q_max
integer::num
CallCounter=CallCounter+1
X=PreFactor1(process_global(1))*Xsec_PTint_Qint_Yint(process_global,includeCuts_global,CutParameters_global,&
s_global,qt_min,qt_max,Q_min,Q_max,-1000d0,1000d0,num)
end subroutine xSecSingle_PTintN_Qint_Ycomplete
subroutine xSecListList_PTintN_Qint_Ycomplete(X_list,qt_List,Q_min,Q_max,num)
real(dp), intent(in) :: qt_list(:)
real(dp), intent(out) :: X_list(:)
real(dp)::Q_min,Q_max,X0,Xfin
integer :: i,length,length2,num
real(dp),dimension(1:7)::var
length2=size(qt_list)
length=size(X_list)
if( (length2-length) .ne. 1) then
write(*,*) 'ERROR: arTeMiDe_DY: pt integration : sizes of lists (for cross-seciont and pt-bins) are inconsistent'
write(*,*) 'Evaluation stop'
stop
end if
!-----------------parallel version-------------
!$ call xSecList_PTintN_Qint_Ycomplete(X_list,qt_List(1:length2-1),qt_list(2:length2),Q_min,Q_max,num)
!$ return
!-----------------single-thread version-------------
CallCounter=CallCounter+length
var=kinematicArray(qt_list(1),s_global,Q_global,y_global)
X0=2d0*qt_list(1)*Xsec_Qint_Yint(var,process_global,includeCuts_global,CutParameters_global,Q_min,Q_max,-1000d0,1000d0)
do i=1,length
call Xsec_PTint_Qint_Yint_0(process_global,includeCuts_global,CutParameters_global,&
s_global, qt_list(i),qt_list(i+1),Q_min,Q_max,-1000d0,1000d0,Num,Xfin,X0)
X_List(i)=PreFactor1(process_global(1))*Xfin
end do
end subroutine xSecListList_PTintN_Qint_Ycomplete
subroutine xSecList_PTint_Qint_Ycomplete(X_list,qtMIN_List,qtMAX_list,Q_min,Q_max)
real(dp), intent(in) :: qtMIN_list(:),qtMAX_list(:)
real(dp), intent(out) :: X_list(:)
real(dp)::Q_min,Q_max
call xSecList_PTintN_Qint_Ycomplete(X_list,qtMIN_List,qtMAX_list,Q_min,Q_max,NumPTdefault)
end subroutine xSecList_PTint_Qint_Ycomplete
subroutine xSecSingle_PTint_Qint_Ycomplete(X,qt_min,qt_max,Q_min,Q_max)
real(dp)::X,qT_min,qT_max
real(dp)::Q_min,Q_max
CallCounter=CallCounter+1
X=PreFactor1(process_global(1))*Xsec_PTint_Qint_Yint(process_global,includeCuts_global,CutParameters_global,&
s_global,qt_min,qt_max,Q_min,Q_max,-1000d0,1000d0,NumPTdefault)
end subroutine xSecSingle_PTint_Qint_Ycomplete
subroutine xSecListList_PTint_Qint_Ycomplete(X_list,qt_List,Q_min,Q_max)
real(dp), intent(in) :: qt_list(:)
real(dp), intent(out) :: X_list(:)
real(dp)::Q_min,Q_max
call xSecListList_PTintN_Qint_Ycomplete(X_list,qt_List,Q_min,Q_max,NumPTdefault)
end subroutine xSecListList_PTint_Qint_Ycomplete
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!THE MAIN INTERFACE TO CROSS-SECTION!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!! interface for integer,s,array,array,array,logical,optional, optional
subroutine MainInterface_isAAAloo(X,process,s,qT,Q,y,includeCuts,CutParameters,Num)
integer,intent(in)::process !the number of process
real(dp),intent(in)::s !Mandelshtam s
real(dp),intent(in),dimension(1:2)::qT !(qtMin,qtMax)
real(dp),intent(in),dimension(1:2)::Q !(Qmin,Qmax)
real(dp),intent(in),dimension(1:2)::y !(ymin,ymax)
logical,intent(in)::includeCuts !include cuts
real(dp),intent(in),dimension(1:4),optional::CutParameters !(p1,p2,eta1,eta2)
integer,intent(in),optional::Num !number of sections
real(dp)::X
integer::nn
real(dp),dimension(1:4)::CutParam
integer,dimension(1:3)::ppp
!!! determine number of sections
if(present(Num)) then
nn=Num
else
nn=NumPTdefault
end if
!!! determine cut parameters
if(includeCuts) then
if(present(CutParameters)) then
CutParam=CutParameters
else
write(*,*) 'ERROR: arTeMiDe_DY: called includeCuts=true, while CutParameters are undefined'
write(*,*) 'Evaluation stop'
stop
end if
else
CutParam=(/0d0,0d0,0d0,0d0/)
end if
ppp=processArrayFromInteger(process)
!!!! evaluation
CallCounter=CallCounter+1
X=PreFactor1(ppp(1))*Xsec_PTint_Qint_Yint(ppp,includeCuts,CutParameters,&
s,qT(1),qT(2),Q(1),Q(2),y(1),y(2),nn)
end subroutine MainInterface_isAAAloo
!!!! interface for array,s,array,array,array,logical,optional, optional
subroutine MainInterface_AsAAAloo(X,process,s,qT,Q,y,includeCuts,CutParameters,Num)
! function xSec_DY(process,s,qT,Q,y,includeCuts,CutParameters,Num)
integer,intent(in),dimension(1:3)::process !the number of process
real(dp),intent(in)::s !Mandelshtam s
real(dp),intent(in),dimension(1:2)::qT !(qtMin,qtMax)
real(dp),intent(in),dimension(1:2)::Q !(Qmin,Qmax)
real(dp),intent(in),dimension(1:2)::y !(ymin,ymax)
logical,intent(in)::includeCuts !include cuts
real(dp),intent(in),dimension(1:4),optional::CutParameters !(p1,p2,eta1,eta2)
integer,intent(in),optional::Num !number of sections
real(dp)::X
integer::nn
real(dp),dimension(1:4)::CutParam
!! determine number of sections
if(present(Num)) then
nn=Num
else
nn=NumPT_auto(qT(2)-qT(1),(Q(2)+Q(1))/2d0)
end if
!!! determine cut parameters
if(includeCuts) then
if(present(CutParameters)) then
CutParam=CutParameters
else
write(*,*) 'ERROR: arTeMiDe_DY: called includeCuts=true, while CutParameters are undefined'
write(*,*) 'Evaluation stop'
stop
end if
else
CutParam=(/0d0,0d0,0d0,0d0/)
end if
!!!! evaluation
CallCounter=CallCounter+1
X=PreFactor1(process(1))*Xsec_PTint_Qint_Yint(process,includeCuts,CutParameters,&
s,qT(1),qT(2),Q(1),Q(2),y(1),y(2),nn)
end subroutine MainInterface_AsAAAloo
subroutine xSec_DY_List(X,process,s,qT,Q,y,includeCuts,CutParameters,Num)
integer,intent(in),dimension(:,:)::process !the number of process
real(dp),intent(in),dimension(:)::s !Mandelshtam s
real(dp),intent(in),dimension(:,:)::qT !(qtMin,qtMax)
real(dp),intent(in),dimension(:,:)::Q !(Qmin,Qmax)
real(dp),intent(in),dimension(:,:)::y !(ymin,ymax)
logical,intent(in),dimension(:)::includeCuts !include cuts
real(dp),intent(in),dimension(:,:)::CutParameters !(p1,p2,eta1,eta2)
integer,intent(in),dimension(:),optional::Num !number of sections
real(dp),dimension(:),intent(out)::X
integer :: i,length
integer,allocatable::nn(:)
length=size(s)
!!! cheking sizes
if(size(X)/=length) then
write(*,*) 'ERROR: arTeMiDe_DY: xSec_DY_List: sizes of xSec and s lists are not equal.'
write(*,*) 'Evaluation stop'
stop
end if
if(size(process,1)/=length) then
write(*,*) 'ERROR: arTeMiDe_DY: xSec_DY_List: sizes of process and s lists are not equal.'
write(*,*) 'Evaluation stop'
stop
end if
if(size(qT,1)/=length) then
write(*,*) 'ERROR: arTeMiDe_DY: xSec_DY_List: sizes of qT and s lists are not equal.'
write(*,*) 'Evaluation stop'
stop
end if
if(size(y,1)/=length) then
write(*,*) 'ERROR: arTeMiDe_DY: xSec_DY_List: sizes of y and s lists are not equal.'
write(*,*) 'Evaluation stop'
stop
end if
if(size(Q,1)/=length) then
write(*,*) 'ERROR: arTeMiDe_DY: xSec_DY_List: sizes of Q and s lists are not equal.'
write(*,*) 'Evaluation stop'
stop
end if
if(size(includeCuts)/=length) then
write(*,*) 'ERROR: arTeMiDe_DY: xSec_DY_List: sizes of includeCuts and s lists are not equal.'
write(*,*) 'Evaluation stop'
stop
end if
if(size(CutParameters,1)/=length) then
write(*,*) 'ERROR: arTeMiDe_DY: xSec_DY_List: sizes of CutParameters and s lists are not equal.'
write(*,*) 'Evaluation stop'
stop
end if
if(size(process,2)/=3) then
write(*,*) 'ERROR: arTeMiDe_DY: xSec_DY_List: process list must be (:,1:3).'
write(*,*) 'Evaluation stop'
stop
end if
if(size(qT,2)/=2) then
write(*,*) 'ERROR: arTeMiDe_DY: xSec_DY_List: qt list must be (:,1:3).'
write(*,*) 'Evaluation stop'
stop
end if
if(size(y,2)/=2) then
write(*,*) 'ERROR: arTeMiDe_DY: xSec_DY_List: y list must be (:,1:3).'
write(*,*) 'Evaluation stop'
stop
end if
if(size(Q,2)/=2) then
write(*,*) 'ERROR: arTeMiDe_DY: xSec_DY_List: Q list must be (:,1:3).'
write(*,*) 'Evaluation stop'
stop
end if
CallCounter=CallCounter+length
allocate(nn(1:length))
if(present(Num)) then
if(size(Num,1)/=length) then
write(*,*) 'ERROR: arTeMiDe_DY: xSec_DY_List: sizes of Num and s lists are not equal.'
write(*,*) 'Evaluation stop'
stop
end if
nn=Num
else
do i=1,length
nn=NumPT_auto(qT(i,2)-qT(i,1),(Q(i,2)+Q(i,1))/2d0)
end do
end if
!$OMP PARALLEL DO DEFAULT(SHARED)
do i=1,length
X(i)=PreFactor1(process(i,1))*Xsec_PTint_Qint_Yint(process(i,1:3),includeCuts(i),CutParameters(i,1:4),&
s(i),qT(i,1),qT(i,2),Q(i,1),Q(i,2),y(i,1),y(i,2),nn(i))
end do
!$OMP END PARALLEL DO
deallocate(nn)
end subroutine xSec_DY_List
subroutine xSec_DY_List_BINLESS(X,process,s,qT,Q,y,includeCuts,CutParameters)
integer,intent(in),dimension(:,:)::process !the number of process
real(dp),intent(in),dimension(:)::s !Mandelshtam s
real(dp),intent(in),dimension(:)::qT !(qtMin,qtMax)
real(dp),intent(in),dimension(:)::Q !(Qmin,Qmax)
real(dp),intent(in),dimension(:)::y !(ymin,ymax)
logical,intent(in),dimension(:)::includeCuts !include cuts
real(dp),intent(in),dimension(:,:)::CutParameters !(p1,p2,eta1,eta2)
real(dp),dimension(:),intent(out)::X
real(dp),allocatable,dimension(:,:)::vv
integer :: i,length
length=size(s)
!!! cheking sizes
if(size(X)/=length) then
write(*,*) 'ERROR: arTeMiDe_DY_BINLESS: xSec_DY_List: sizes of xSec and s lists are not equal.'
write(*,*) 'Evaluation stop'
stop
end if
if(size(process,1)/=length) then
write(*,*) 'ERROR: arTeMiDe_DY_BINLESS: xSec_DY_List: sizes of process and s lists are not equal.'
write(*,*) 'Evaluation stop'
stop
end if
if(size(qT)/=length) then
write(*,*) 'ERROR: arTeMiDe_DY_BINLESS: xSec_DY_List: sizes of qT and s lists are not equal.'
write(*,*) 'Evaluation stop'
stop
end if
if(size(y)/=length) then
write(*,*) 'ERROR: arTeMiDe_DY_BINLESS: xSec_DY_List: sizes of y and s lists are not equal.'
write(*,*) 'Evaluation stop'
stop
end if
if(size(Q)/=length) then
write(*,*) 'ERROR: arTeMiDe_DY_BINLESS: xSec_DY_List: sizes of Q and s lists are not equal.'
write(*,*) 'Evaluation stop'
stop
end if
if(size(includeCuts)/=length) then
write(*,*) 'ERROR: arTeMiDe_DY_BINLESS: xSec_DY_List: sizes of includeCuts and s lists are not equal.'
write(*,*) 'Evaluation stop'
stop
end if
if(size(CutParameters,1)/=length) then
write(*,*) 'ERROR: arTeMiDe_D_BINLESSY: xSec_DY_List: sizes of CutParameters and s lists are not equal.'
write(*,*) 'Evaluation stop'
stop
end if
if(size(process,2)/=3) then
write(*,*) 'ERROR: arTeMiDe_DY_BINLESS: xSec_DY_List: process list must be (:,1:3).'
write(*,*) 'Evaluation stop'
stop
end if
CallCounter=CallCounter+length
allocate(vv(1:length,1:7))
!$OMP PARALLEL DO DEFAULT(SHARED)
do i=1,length
vv(i,1:7)=kinematicArray(qt(i),s(i),Q(i),y(i))
X(i)=PreFactor1(process(i,1))*xSec(vv(i,1:7),process(i,1:3),includeCuts(i),CutParameters(i,1:4))
end do
!$OMP END PARALLEL DO
deallocate(vv)
end subroutine xSec_DY_List_BINLESS
end module TMDX_DY
| 62,675 | 35.145329 | 132 | f90 |
artemide-public | artemide-public-master/src/TMDX_SIDIS.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 2.02
!
! Evaluation of the TMD cross-section for SIDIS-like cross-sections
!
! if you use this module please, quote ????.????
!
! ver 1.2: release (AV, 15.12.2017)
! ver 1.32: part of functions migrated to TMDF, rest updated (AV, 16.08.2018)
! ver 2.02: (AV,16.08.2019)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module TMDX_SIDIS
use aTMDe_Numerics
use IO_functions
use TMDF
use QCDinput
use EWinput
implicit none
private
!Current version of module
character (len=10),parameter :: moduleName="TMDX-SIDIS"
character (len=5),parameter :: version="v2.02"
!Last appropriate verion of constants-file
integer,parameter::inputver=9
logical::started=.false.
integer::outputlevel
integer::messageTrigger
real(dp)::hc2
!The variables for all parameters of the model!
!it is used only as input if these parameters are not set by the user.
real(dp):: Q_global,x_global,z_global,s_global
!! Set of process definition, for Prefactor 1, Prefactor 2, structure function, etc
!! = (/p1,p2,p3/)
integer,dimension(1:3)::process_global
!! cut prarameters
logical::includeCuts_global
!! (yMin,yMax,Wmin,Wmax)
real(dp),dimension(1:4)::CutParameters_global
!!! Target mass of target (squared)
real(dp):: M2_target_global=0.939d0**2
!!! Produced mass (squared)
real(dp):: M2_product_global=0.1d0**2
!!other global parameters, which are defined upon initialization
integer:: orderH_global
!!inclusion of power corrections to the definition
!! corrQT ~ qT/Q in cross-section
!! corrM1 ~ M1/Q
!! corrM2 ~ M2/Q
!! corrQTinX1Z1 ~ qT/Q in x1,z1
logical:: corrQT,corrM1,corrM2,corrQTinX1Z1 !!!if true include
integer:: exactScales !!!=1 if exact hard scales = true, =0 otherwise
real(dp) :: tolerance=0.0005d0
!!! number of sections for PT-integral by default
integer::NumPTdefault=4
real(dp)::c2_global!,muHard_global
integer::messageCounter
integer::GlobalCounter
integer::CallCounter
!!!------------------------------Global Integration definitions-------------------
!-integration over Z
real(dp) :: toleranceZ=0.0005d0
!!! SA = adaptive simpson, S5 = Simpson with 5-points, I0 = center point x size
character(len=4)::methodZ='SA'
!-integration over X
real(dp) :: toleranceX=0.0005d0
!!! SA = adaptive simpson, S5 = Simpson with 5-points, I0 = center point x size
character(len=4)::methodX='SA'
public::TMDX_SIDIS_setProcess,TMDX_SIDIS_ShowStatistic,TMDX_SIDIS_Initialize,&
TMDX_SIDIS_XSetup,TMDX_SIDIS_SetCuts,TMDX_SIDIS_IsInitialized,TMDX_SIDIS_ResetCounters,TMDX_SIDIS_SetScaleVariation
public::CalcXsec_SIDIS,CalcXsec_SIDIS_Zint_Xint_Qint,CalcXsec_SIDIS_PTint_Zint_Xint_Qint,xSec_SIDIS,xSec_SIDIS_List,&
xSec_SIDIS_List_forharpy,xSec_SIDIS_BINLESS_List_forharpy
interface TMDX_SIDIS_setProcess
module procedure TMDX_setProcess1,TMDX_setProcess3,TMDX_setProcess30
end interface
interface CalcXsec_SIDIS
module procedure CalcXsecLIST_SIDIS,CalcXsecSINGLE_SIDIS
end interface
interface CalcXsec_SIDIS_Zint_Xint_Qint
module procedure CalcXsecLIST_SIDIS_Zint_Xint_Qint,CalcXsecSINGLE_SIDIS_Zint_Xint_Qint
end interface
interface CalcXsec_SIDIS_PTint_Zint_Xint_Qint
module procedure CalcXsecLISTLIST_SIDIS_PTint_Zint_Xint_Qint,&
CalcXsecLIST_SIDIS_PTint_Zint_Xint_Qint,CalcXsecSINGLE_SIDIS_PTint_Zint_Xint_Qint
end interface
contains
function TMDX_SIDIS_IsInitialized()
logical::TMDX_SIDIS_IsInitialized
TMDX_SIDIS_IsInitialized=started
end function TMDX_SIDIS_IsInitialized
!! Initialization of the package
subroutine TMDX_SIDIS_Initialize(file,prefix)
character(len=*)::file
character(len=*),optional::prefix
character(len=300)::path,line
logical::initRequired,dummyLogical
character(len=8)::orderMain
integer::i,FILEver
!$ integer:: omp_get_thread_num
if(started) return
if(present(prefix)) then
path=trim(adjustl(prefix))//trim(adjustr(file))
else
path=trim(adjustr(file))
end if
OPEN(UNIT=51, FILE=path, ACTION="read", STATUS="old")
!!! Search for output level
call MoveTO(51,'*0 ')
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) FILEver
if(FILEver<inputver) then
write(*,*) 'artemide.'//trim(moduleName)//': const-file version is too old.'
write(*,*) ' Update the const-file with artemide.setup'
write(*,*) ' '
stop
end if
call MoveTO(51,'*p2 ')
read(51,*) outputLevel
if(outputLevel>2) write(*,*) '--------------------------------------------- '
if(outputLevel>2) write(*,*) 'artemide.',moduleName,version,': initialization started ... '
call MoveTO(51,'*p3 ')
read(51,*) messageTrigger
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) hc2
call MoveTO(51,'*10 ')
call MoveTO(51,'*p1 ')
read(51,*) initRequired
if(.not.initRequired) then
if(outputLevel>2) write(*,*)'artemide.',moduleName,': initialization is not required. '
started=.false.
return
end if
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) orderMain
SELECT CASE(orderMain)
CASE ("LO")
orderH_global=0
CASE ("LO+")
orderH_global=0
CASE ("NLO")
orderH_global=1
CASE ("NLO+")
orderH_global=1
CASE ("NNLO")
orderH_global=2
CASE ("N2LO")
orderH_global=2
CASE ("NNLO+")
orderH_global=3
CASE ("NNNLO")
orderH_global=3
CASE ("N3LO") !! same as NNNLO
orderH_global=3
CASE ("N3LO+")
orderH_global=3
CASE ("N4LO")
orderH_global=4
CASE DEFAULT
if(outputLevel>0) write(*,*) WarningString('try to set unknown order. Switch to NLO.',moduleName)
orderH_global=1
END SELECT
if(outputLevel>1) write(*,*) ' artemide.TMDX_SIDIS: the used order is ',trim(orderMain)
!! qT correction in kinematics
call MoveTO(51,'*p2 ')
read(51,*) corrQT
if(outputLevel>2 .and. corrQT) write(*,*) ' artemide.TMDX_SIDIS: qT/Q corrections in kinematics are included.'
!! Target mass corrections
call MoveTO(51,'*p3 ')
read(51,*) corrM1
if(outputLevel>2 .and. corrM1) write(*,*) ' artemide.TMDX_SIDIS: target mass corrections in kinematics are included.'
!! produced mass corrections
call MoveTO(51,'*p4 ')
read(51,*) corrM2
if(outputLevel>2 .and. corrM2) write(*,*) ' artemide.TMDX_SIDIS: product mass corrections in kinematics are included.'
!! qT correction in x1 z1
call MoveTO(51,'*p5 ')
read(51,*) corrQTinX1Z1
if(outputLevel>2 .and. corrQTinX1Z1) write(*,*) ' artemide.TMDX_SIDIS: qT/Q corrections in x1,z1 are included.'
!!exact values for scales
call MoveTO(51,'*p6 ')
read(51,*) dummyLogical
if(dummyLogical) then
exactScales=1
else
exactScales=0
end if
if(outputLevel>2 .and. dummyLogical) write(*,*) ' artemide.TMDX_SIDIS: qT/Q correction for scales variables are included.'
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) tolerance
call MoveTO(51,'*p2 ')
read(51,*) NumPTdefault
call MoveTO(51,'*p3 ')
read(51,*) toleranceZ
call MoveTO(51,'*p4 ')
read(51,*) methodZ
if((.not.(methodZ=='SA'.or.methodZ=='S5'.or.methodZ=='I0')).and.outputLevel>0) then
write(*,*) ErrorString(' method for z-bin-integration is unknow: '//methodZ,moduleName)
write(*,*) color('switching to Adaptive-Simpson',c_red)
methodZ='SA'
end if
call MoveTO(51,'*p5 ')
read(51,*) toleranceX
call MoveTO(51,'*p6 ')
read(51,*) methodX
if((.not.(methodX=='SA'.or.methodX=='S5'.or.methodX=='I0')).and.outputLevel>0) then
write(*,*) ErrorString(' method for x-bin-integration is unknow: '//methodX,moduleName)
write(*,*) color('switching to Adaptive-Simpson',c_red)
methodX='SA'
end if
!$ if(outputLevel>1) write(*,*) ' artemide.TMDX_SIDIS: parallel evaluation of cross-sections is to be used'
!$ call MoveTO(51,'*C ')
!$ call MoveTO(51,'*p1 ')
!$ read(51,*) i
!$ call OMP_set_num_threads(i)
!$ if(outputLevel>1) write(*,*) ' artemide.TMDX_SIDIS: number of threads for parallel evaluation is set to ', i
!$ if(outputLevel>2) write(*,*) '------TEST OF PARALLEL PROCESSING ----------'
!$OMP PARALLEL
!$ if(outputLevel>2) write(*,*) ' artemide.TMDX_SIDIS:thread num ', omp_get_thread_num(), ' ready.'
!$OMP END PARALLEL
CLOSE (51, STATUS='KEEP')
if(.not.EWinput_IsInitialized()) then
if(outputLevel>1) write(*,*) '.. initializing EWinput (from ',moduleName,')'
if(present(prefix)) then
call EWinput_Initialize(file,prefix)
else
call EWinput_Initialize(file)
end if
end if
if(.not.TMDF_IsInitialized()) then
if(outputLevel>1) write(*,*) '.. initializing TMDF (from ',moduleName,')'
if(present(prefix)) then
call TMDF_Initialize(file,prefix)
else
call TMDF_Initialize(file)
end if
end if
includeCuts_global=.false.
c2_global=1d0
GlobalCounter=0
CallCounter=0
messageCounter=0
started=.true.
write(*,*) color('----- arTeMiDe.TMD_SIDIS '//trim(version)//': .... initialized',c_green)
end subroutine TMDX_SIDIS_Initialize
subroutine TMDX_SIDIS_ResetCounters()
if(outputlevel>2) call TMDX_SIDIS_ShowStatistic()
GlobalCounter=0
CallCounter=0
messageCounter=0
end subroutine TMDX_SIDIS_ResetCounters
subroutine TMDX_SIDIS_ShowStatistic()
write(*,'(A,ES12.3)') 'TMDX SIDIS statistics total calls of point xSec : ',Real(GlobalCounter)
write(*,'(A,ES12.3)') ' total calls of xSecF : ',Real(CallCounter)
write(*,'(A,F12.3)') ' avarage M : ',Real(GlobalCounter)/Real(CallCounter)
end subroutine TMDX_SIDIS_ShowStatistic
!!!!Call this after TMD initializetion but before NP, and X parameters
subroutine TMDX_SIDIS_SetScaleVariation(c2_in)
real(dp)::c2_in
if(outputLevel>1) write(*,*) 'TMDX_SIDIS: scale variation constant c2 reset:',c2_in
if(c2_in<0.1d0 .or. c2_in>10.d0) then
if(outputLevel>0) write(*,*) WarningString('variation in c2 is enourmous. c2 is set to 2',moduleName)
c2_global=2d0
else
c2_global=c2_in
end if
end subroutine TMDX_SIDIS_SetScaleVariation
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!! PROCESS DEFINITION
!!!set variables for process definition
subroutine TMDX_setProcess30(p0)
integer,dimension(1:3)::p0
process_global=p0
end subroutine TMDX_setProcess30
!!!set variables for process definition
subroutine TMDX_setProcess3(p1,p2,p3)
integer::p1,p2,p3
process_global=(/p1,p2,p3/)
end subroutine TMDX_setProcess3
!!!set variables for process definition
subroutine TMDX_setProcess1(p)
integer::p
call TMDX_setProcess30(processArrayFromInteger(p))
end subroutine TMDX_setProcess1
function processArrayFromInteger(p)
integer,intent(in)::p
integer,dimension(1:3)::processArrayFromInteger
SELECT CASE(p)
case default
write(*,*) color('ERROR: arTeMiDe_SIDIS: unknown process is called. p=',c_red_bold),p
write(*,*) 'Evaluation stop'
stop
end SELECT
end function processArrayFromInteger
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!FUNCTIONS FOR OPERATION WITH KINEMATICS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
subroutine TMDX_SIDIS_XSetup(s,z,x,Q,mTARGET,mPRODUCT)
real(dp)::s,Q,x,z
real(dp),optional::mTARGET,mPRODUCT
if(.not.started) then
write(*,*) ErrorString('module is not initialized. Evaluation terminated',moduleName)
stop
end if
s_global=s
Q_global=Q
x_global=x
z_global=z
if(PRESENT(mTARGET)) then
M2_target_global=mTARGET**2
! write(*,*) 'mTarget reset ->',M2_target_global
end if
if(PRESENT(mPRODUCT)) then
M2_product_global=mPRODUCT**2
! write(*,*) 'mProduct reset ->',M2_product_global
end if
end subroutine TMDX_SIDIS_XSetup
!!! function makes kinematic array from the given set of pT,s,Q,x,z
!!! array has 13 often appearing entries
! 1 = pT
! 2 = Q
! 3 = Q^2
! 4 = x
! 5 = z
! 6 = y =Q^2/x(s-M^2)
! 7 = epsilon = (1-y-gamma2 y^2/4)/(1-y+y^2/2+gamma2 y^2/4)
! 8 = gamma2 = (2 x M/Q)^2
! 9=rho2*gamma2 = (m/z/Q)^2*gamma2
! 10=rhoT2*gamma2 = (m^2+pt^2)/(z Q)^2*gamma2
! 11=sM2 = s-M^2
! 12=M2-target
! 13=M2-product
pure function kinematicArray(pT,s,z,x,Q,M2target_in,M2product_in)
real(dp),dimension(1:13)::kinematicArray
real(dp),intent(in)::pT,s,z,x,Q,M2target_in,M2product_in
real(dp)::Q2,y,varepsilon,gamma2,rho2,rhoPEPR2,sM2,M2target,M2product
Q2=Q**2
if(corrM1) then
M2target=M2target_in
sM2=s-M2target
gamma2=4d0*M2target*x**2/Q2
else
M2target=0d0
gamma2=0d0
sM2=s
end if
y=Q2/x/sM2!YfromSXQ2(sM2,x,Q2)
varepsilon=(1d0-y-y**2*gamma2*0.25d0)/(1d0-y+y**2*(0.5d0+0.25d0*gamma2))
if(corrM2) then
M2product=M2product_in
rho2=gamma2*M2product/Q2/z**2
else
M2product=0d0
rho2=0d0
end if
if(corrQT) then
rhoPEPR2=rho2+gamma2*(pT/z/Q)**2
else
rhoPEPR2=rho2
end if
kinematicArray=(/pT,Q,Q2,x,z,y,varepsilon,gamma2,rho2,rhoPEPR2,sM2,M2target,M2product/)
end function kinematicArray
!!! xy(s-M^2)=Q^2
pure function YfromSXQ2(sM2,x,Q2)
real(dp),intent(in)::sM2,x,Q2
real(dp)::YfromSXQ2
YfromSXQ2=Q2/x/sM2
end function YfromSXQ2
pure function XfromSYQ2(sM2,y,Q2)
real(dp),intent(in)::sM2,y,Q2
real(dp)::XfromSYQ2
XfromSYQ2=Q2/y/sM2
end function XfromSYQ2
pure function QfromSXY(sM2,x,y)
real(dp),intent(in)::sM2,x,y
real(dp)::QfromSXY
QfromSXY=Sqrt(sM2*x*y)
end function QfromSXY
!!!!!Evaluate the parameters of the TMD factorized Fourier-integral
!!qT =pT/z sqrt( ( 1+gamma2) / (1-gamma2 rho2))
pure subroutine CalculateqT(qT,var)
real(dp),intent(out)::qT
real(dp),dimension(1:13),intent(inout)::var
qT=var(1)/var(5)*Sqrt((1d0+var(8))/(1d0-var(9)))
end subroutine CalculateqT
!!!!!Evaluate the parameters of the TMD factorized Fourier-integral
!!qT =pT/z sqrt( ( 1+gamma2) / (1-gamma2 rho2))
!!fac1 = -2/gamma2*(1-sqrt(1+gamma2*(1-qT^2/Q^2)))
!!X1=x*fac1
!!Z1=z*fac1*(...)
pure subroutine CalculateX1Z1qT(x1,z1,qT,var)
real(dp),intent(out)::x1,z1,qT
real(dp),dimension(1:13),intent(inout)::var
real(dp)::fac1
qT=var(1)/var(5)*Sqrt((1d0+var(8))/(1d0-var(9)))
!!fac1 appears in definition of x1, and z1
if(corrM1 .and. var(8)>0) then
if(corrQTinX1Z1) then
fac1=-2d0/var(8)*(1d0-sqrt(1d0+var(8)*(1d0-(qT/var(2))**2)))
else
fac1=-2d0/var(8)*(1d0-sqrt(1d0+var(8)))
end if
else
if(corrQTinX1Z1) then
fac1=(1d0-(qT/var(2))**2)
else
fac1=1d0
end if
end if
x1=var(4)*fac1
if (corrQTinX1Z1) then
z1=var(5)*fac1*(1d0+sqrt(1d0-var(9)))/(2d0*(1d0-(qT/var(2))**2))
else
z1=var(5)*fac1*(1d0+sqrt(1d0-var(9)))*0.5d0
end if
!if(x1<0.0001d0) write(*,*) '>>>>>>>>>>>>>>>',x1,z1,qT,var
end subroutine CalculateX1Z1qT
!!!! update a given kinematic array with new value of x.
pure subroutine SetX(x,var)
real(dp) ,dimension(1:13),intent(inout)::var
real(dp),intent(in)::x
real(dp)::g2
! var=kinematicArray(var(1),var(11)+var(12),var(5),x,var(2),var(12),var(13))
g2=var(8)!old gamma2
var(4)=x
!!!Q2 same
!!!sM2 same
!!!gamma
var(8)=4d0*var(12)*x**2/var(3)
!!!y
var(6)=YfromSXQ2(var(11),x,var(3))
!!epsilon
var(7)=(1d0-var(6)-var(6)**2*var(8)*0.25d0)/(1d0-var(6)+var(6)**2*(0.5d0+0.25d0*var(8)))
!! rescale rho'2 with new gamma
if(g2>0) then
var(9)=var(9)*var(8)/g2
var(10)=var(10)*var(8)/g2
else
var(9)=0d0
var(10)=0d0
end if
!!!masses same
end subroutine SetX
!!!! update a given kinematic array with new value of Q.
pure subroutine setQ(Q,var)
real(dp) ,dimension(1:13),intent(inout)::var
real(dp),intent(in)::Q
!!! in the case of Q, the array is updated completely
!!! thus we just reconstruct it
var=kinematicArray(var(1),var(11)+var(12),var(5),var(4),Q,var(12),var(13))
end subroutine setQ
!!!! update a given kinematic array with new value of Q2.
pure subroutine setQ2(Q2,var)
real(dp) ,dimension(1:13),intent(inout)::var
real(dp),intent(in)::Q2
!!! in the case of Q, the array is updated completely
!!! thus we just reconstruct it
var=kinematicArray(var(1),var(11)+var(12),var(5),var(4),sqrt(Q2),var(12),var(13))
end subroutine setQ2
!!!! update a given kinematic array with new value of Z.
pure subroutine SetZ(z,var)
real(dp) ,dimension(1:13),intent(inout)::var
real(dp),intent(in)::z
! var=kinematicArray(var(1),var(11)+var(12),z,var(4),var(2),var(12),var(13))
var(5)=z
!!Q2 same
!!gamma2 same
!!y same
!!varepsilon same
!!rho2 new
var(9)=var(8)*var(13)/var(3)/z**2
!!rhoPerp new
if(corrQT) then
var(10)=var(9)+var(8)*(var(1)/z/var(2))**2
else
var(10)=var(9)
end if
end subroutine SetZ
!!!! update a given kinematic array with new value of pt.
pure subroutine SetPT(pt,var)
real(dp),dimension(1:13),intent(inout)::var
real(dp),intent(in)::pt
! var=kinematicArray(pt,var(11)+var(12),var(5),var(4),var(2),var(12),var(13))
var(1)=pt
!!! Q2 same
!!! gamma2 same
!!! y same
!!! varepsilon same
!!! rho2 same
!!!rho perp new
if(corrQT) then
var(10)=var(9)+var(8)*(var(1)/var(5)/var(2))**2
else
var(10)=var(9)
end if
end subroutine SetPT
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!FUNCTIONS FOR PREFACTORS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!! hard coefficeint taken from 1004.3653 up to 2-loop
!!! it takes global values of Q,order
!!! NOTE it uses Nf=3(fixed)
function HardCoefficientSIDIS(mu)
real(dp)::HardCoefficientSIDIS,mu,alpha,LQ!=Log[Q^2/mu^2]=-2Log[c1]
HardCoefficientSIDIS=1.d0
if(orderH_global>=1) then
LQ=-2d0*LOG(c2_global)
alpha=As(mu*c2_global)
HardCoefficientSIDIS=HardCoefficientSIDIS+alpha*&
(-16.946842488404727d0 + 8d0*LQ - 2.6666666666666665d0*LQ**2)
if(orderH_global>=2) then
HardCoefficientSIDIS=HardCoefficientSIDIS+alpha**2*&
(-116.50054911601637d0 + 46.190372772820254d0*LQ + 16.843858371984233d0*LQ**2&
-13.333333333333334d0*LQ**3 + 3.5555555555555554d0*LQ**4)
if(orderH_global>=3) then
HardCoefficientSIDIS=HardCoefficientSIDIS+alpha**3*&
(-4820.715927678687 + 2492.274201933993*LQ + 44.19495641116441*LQ**2 &
- 237.22228827339313*LQ**3 + 43.33848430014775*LQ**4 + 7.111111111111111*LQ**5 &
-3.1604938271604937*LQ**6)
if(orderH_global>=4) then
HardCoefficientSIDIS=HardCoefficientSIDIS+alpha**4*&
(26391.759725461765 - 31391.21814540276*LQ + 16136.794429475773*LQ**2 &
- 3922.584672164565*LQ**3 - 98.8284343286739*LQ**4 + 250.360398809412*LQ**5 &
- 47.07700456533447*LQ**6 - 3.950617283950617*LQ**7 + 1.8436213991769548*LQ**8)
end if
end if
end if
end if
end function HardCoefficientSIDIS
!!!! Set Prefactor1
!!!! it multiplies the cross-section as a whole, does not participate in the integration
pure function PreFactor1(p1)
real(dp)::Prefactor1
integer,intent(in)::p1
PreFactor1=1d0
end function PreFactor1
!!!!! Prefactor 2 is (universal part) x H
function PreFactor2(var,process,x1,z1,qT)
real(dp),dimension(1:13),intent(in)::var
integer,dimension(1:3),intent(in)::process
real(dp)::PreFactor2,uniPart,phasePart,x1,z1,qT,fac1,scaleMu
!!!! universal part
!!!! If exact scales, zeta*zeta=Q^2-qT^2.
scaleMu=sqrt(var(3)-exactScales*qT**2)
SELECT CASE(process(2))
case(-10221191)
uniPart=1d0
CASE(1)
!!!!!!!!!!!!!!!!!!!!! CHECK FACTOR 2???!
!2 pi aEm^2/Q^4 y^2/(1-epsilon)*z1/z(1+varepsilon...)
! prefactor for unpolarized expression
!!! this is 1+qT^2/Q^2(e-gamma^2/2)/(1+gamma^2)
if(corrQT) then
fac1=(1d0+(qT**2/var(3))*(var(7)-0.5d0*var(8))/(1+var(8)))/sqrt(1-var(10))
else
fac1=1d0
end if
uniPart=pix2*alphaEM(scaleMu)**2/(var(3)**2)*(var(6)**2/(1d0-var(7)))*(z1/var(5))*&
fac1*&
HardCoefficientSIDIS(scaleMu)*&
hc2*1d9!from GeV to pbarn
CASE(2)
! prefactor for FUU,T
!!! this is 1+qT^2/Q^2(e-gamma^2/2)/(1+gamma^2)
if(corrQT) then
fac1=(1d0+(qT**2/var(3))*(var(7)-0.5d0*var(8))/(1+var(8)))/sqrt(1-var(10))
else
fac1=1d0
end if
uniPart=var(4)/pi/(1d0+0.5d0*var(8)/var(4))*&
fac1*&
HardCoefficientSIDIS(scaleMu)
CASE DEFAULT
write(*,*) ErrorString(' unknown process p2=',moduleName),&
process(2),color(' .Evaluation stop.',c_red_bold)
stop
END SELECT
SELECT CASE(process(1))
CASE(2)
!!! case of dQ2 -> dy
phasePart=var(3)/var(6)
CASE(3)
!!! case of dx -> dy
phasePart=var(4)/var(6)
CASE DEFAULT
phasePart=1d0
END SELECT
PreFactor2=phasePart*uniPart
end function PreFactor2
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! CUTS RELATED FUNCTIONS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!The cuts are ymin<y<ymax,Wmin<W2<Wmax
subroutine TMDX_SIDIS_SetCuts(inc,yMin,yMax,Wmin,Wmax)
logical::inc
real(dp)::yMin,yMax,Wmin,Wmax
real(dp)::y0,y1,W0,W1
includeCuts_global=inc
if(.not.inc) return
if(yMin<0d0) then
if(outputlevel>0) write(*,*) WarningString('SetCuts: yMin<0. Set to 0',moduleName)
y0=0d0
else if(ymin>1d0) then
if(outputlevel>0) write(*,*) WarningString('SetCuts: yMin>1. Set to 1',moduleName)
y0=1d0
else
y0=yMin
end if
if(yMax<0d0) then
if(outputlevel>0) write(*,*) WarningString('SetCuts: yMax<0. Set to 0',moduleName)
y1=0d0
else if(ymax>1d0) then
if(outputlevel>0) write(*,*) WarningString('SetCuts: yMax>1. Set to 1',moduleName)
y1=1d0
else
y1=yMax
end if
if(Wmin>0) then
W0=Wmin
else
if(outputlevel>0) write(*,*) WarningString('SetCuts: Wmin<0. Set to 0',moduleName)
W0=0d0
end if
if(Wmax>0) then
W1=Wmax
else
if(outputlevel>0) write(*,*) WarningString('SetCuts: Wmax<0. Set to 0',moduleName)
W1=0d0
end if
if(y0<=y1) then
if(W0<=W1) then
CutParameters_global=(/y0,y1,W0,W1/)
else
if(outputlevel>0) write(*,*) WarningString('SetCuts: WMin>WMax. Values exchanged',moduleName)
CutParameters_global=(/y0,y1,W1,W0/)
end if
else
if(outputlevel>0) write(*,*) WarningString('SetCuts: yMin>yMax. Values exchanged',moduleName)
if(W0<=W1) then
CutParameters_global=(/y1,y0,W0,W1/)
else
if(outputlevel>0) write(*,*) WarningString('SetCuts: WMin>WMax. Values exchanged',moduleName)
CutParameters_global=(/y1,y0,W1,W0/)
end if
end if
end subroutine TMDX_SIDIS_SetCuts
!!! checks the value of x against cut constaints from below and return the maximal allowed value
!!! argument xmin is xmin vs. which we compare cuts.
pure function xMinWithCuts(xmin,var,cutParam)
real(dp),dimension(1:13),intent(in)::var
real(dp),dimension(1:4),intent(in)::cutParam
real(dp),intent(in)::xmin
real(dp)::x1,x2,xMinWithCuts
x1=var(3)/cutParam(2)/var(11)
x2=var(3)/(var(3)+cutParam(4)-var(12))
xMinWithCuts=max(xmin,x1,x2)
end function xMinWithCuts
!!! checks the value of x against cut constaints from above and return the minimal allowed value
!!! argument xmax is xmin vs. which we compare cuts.
function xMaxWithCuts(xmax,var,cutParam)
real(dp),dimension(1:13),intent(in)::var
real(dp),dimension(1:4),intent(in)::cutParam
real(dp),intent(in)::xmax
real(dp)::x1,x2,xMaxWithCuts
x1=var(3)/cutParam(1)/var(11)
x2=var(3)/(var(3)+cutParam(3)-var(12))
xMaxWithCuts=min(xmax,x1,x2)
end function xMaxWithCuts
!!! checks the value of x against cut constaints from above and return the minimal allowed value
!!! argument Qmin is Qmin vs. which we compare cuts.
!!! argument xmin is xmin vs. which we compare cuts.
pure function QMinWithCuts(xmin,Qmin,var,cutParam)
real(dp),dimension(1:13),intent(in)::var
real(dp),dimension(1:4),intent(in)::cutParam
real(dp),intent(in)::xmin,Qmin
real(dp)::Q1,Q2,QMinWithCuts
Q1=sqrt(xmin*cutParam(1)*var(11))
Q2=sqrt(xmin*(cutParam(3)-var(12))/(1d0-xmin))
QMinWithCuts=max(Qmin,Q1,Q2)
end function QMinWithCuts
!!! checks the value of Q against cut constaints from below and return the maximal allowed value
!!! argument Qmax is Qmax vs. which we compare cuts.
!!! argument xmax is xmax vs. which we compare cuts.
pure function QMaxWithCuts(xmax,Qmax,var,cutParam)
real(dp),dimension(1:13),intent(in)::var
real(dp),dimension(1:4),intent(in)::cutParam
real(dp),intent(in)::xmax,Qmax
real(dp)::Q1,Q2,QMaxWithCuts
Q1=Sqrt(xmax*cutParam(2)*var(11))
Q2=sqrt(xmax*(cutParam(4)-var(12))/(1d0-xmax))
QMaxWithCuts=min(Qmax,Q1,Q2)
end function QMaxWithCuts
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!FUNCTIONS CALCULATING CROSS-SECTIONS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------UNTIGRATED------------------------------------------------------------------
!!! this is help function which evaluate xSec at single qt (without lists) with only prefactor 2
!!!! this is extended (and default) version of xSec, which include all parameters
!!! note that it is calculated with respect to qT
function xSec(var,process)
real(dp):: xSec,FF
real(dp)::x1,z1,qT,scaleMu,scaleZeta
real(dp),dimension(1:13)::var
integer,dimension(1:3),intent(in)::process
integer::OMP_get_thread_num
GlobalCounter=GlobalCounter+1
call CalculateX1Z1qT(x1,z1,qT,var)
!!! setting values of scales
scaleZeta=var(3)-exactScales*qT**2 !! zeta=Q2+qT^2
scaleMu=sqrt(scaleZeta)
FF=TMDF_F(var(3),qT,x1,z1,scaleMu*c2_global,scaleZeta,scaleZeta,process(3))
xSec=PreFactor2(var,process,x1,z1,qT)*FF
!write(*,*) "{",var(3),",",x1,"},"!,z1
end function xSec
!---------------------------------INTEGRATED over Z (and Q and X)--------------------------------------------------------------
!!! the variable doZ check should the integration over Z be performed
!!! if doZ=true, the integration is done
!!! if doZ=facle the single value (at xMin) is returned
function Xsec_Zint(var,process,doZ,zMin,zMax)
real(dp),dimension(1:13):: var
logical::doZ
real(dp) :: Xsec_Zint
real(dp) :: zMin,zMax
integer,dimension(1:3),intent(in)::process
!! the integration over Z is required
if(doZ) then
if(zmax > 1d0) then
if(outputlevel>1) write(*,*) WarningString('upper limit of z-integration is >1. It is set to 1.',moduleName)
zmax=1d0
end if
if(zmin < 0.000001d0) then
write(*,*) ErrorString('lower limit of z-integration is < 10^{-6}. Evaluation stop.',moduleName)
stop
end if
if(zMin<zMax) then
if(methodZ=='I0') then !!!! central point estimation
call SetZ((Zmin+zMax)/2d0,var)
Xsec_Zint=Xsec(var,process)*(zMax-zMin)
else !!!! so far only Simpsons
Xsec_Zint=integralOverZpoint_S(var,process,zMin,zMax)
end if
else
Xsec_Zint=0d0
end if
else
! no integration over Z
if(zmax > 1d0) then
if(outputlevel>1) write(*,*) WarningString('upper limit of z-integration is >1. It is set to 1.',moduleName)
zmin=1d0
end if
if(zmin < 0.000001d0) then
write(*,*) ErrorString('lower limit of z-integration is < 10^{-6}. Evaluation stop.',moduleName)
stop
end if
call SetZ((Zmin+zMax)/2d0,var)
Xsec_Zint=Xsec(var,process)
end if
end function Xsec_Zint
!--------------Simpsons--------------------
!!!! parameter valueMax remembers the approximate value of integral to weight the tolerance.
!!!! evaluation is done by adaptive simpson
!!!! First we evaluate over 5 points and estimate the integral, and then split it to 3+3 and send to adaptive
!!!! Thus minimal number of points =9
function integralOverZpoint_S(var,process,yMin_in,yMax_in)
real(dp),dimension(1:13)::var
integer,dimension(1:3),intent(in)::process
real(dp) ::integralOverZpoint_S
real(dp) :: X1,X2,X3,X4,X5
real(dp) :: y2,y3,y4,deltay
real(dp) :: yMin_in,yMax_in
real(dp)::valueMax
deltay=yMax_in-yMin_in
y2=yMin_in+deltay/4d0
y3=yMin_in+deltay/2d0
y4=yMax_in-deltay/4d0
call SetZ(yMin_in,var)
X1=Xsec(var,process)
call SetZ(y2,var)
X2=Xsec(var,process)
call SetZ(y3,var)
X3=Xsec(var,process)
call SetZ(y4,var)
X4=Xsec(var,process)
call SetZ(yMax_in,var)
X5=Xsec(var,process)
!!approximate integral value
valueMax=deltay*(X1+4d0*X2+2d0*X3+4d0*X4+X5)/12d0
if(methodZ=='SA') then
integralOverZpoint_S=IntegralOverZpoint_S_Rec(var,process,yMin_in,y3,X1,X2,X3,valueMax)+&
IntegralOverZpoint_S_Rec(var,process,y3,yMax_in,X3,X4,X5,valueMax)
else if(methodZ=='S5') then
integralOverZpoint_S=valueMax !!!! 5-point integration
else
write(*,*) ErrorString(' integralOverZpoint_S incorrect method. Check methodZ variable and initialization',moduleName)
end if
end function integralOverZpoint_S
!!!! X1,X3,X5 are cross-sections at end (X1,X5) and central (X3) points of integraitons
recursive function integralOverZpoint_S_Rec(var,process,yMin_in,yMax_in,X1,X3,X5,valueMax) result(interX)
real(dp),dimension(1:13) ::var
integer,dimension(1:3),intent(in)::process
real(dp) :: interX,X1,X2,X3,X4,X5
real(dp) :: value,valueAB,valueACB
real(dp) :: yMin_in,yMax_in,y2,y3,y4,deltay
real(dp)::valueMax,vv
deltay=yMax_in-yMin_in
y2=yMin_in+deltay/4d0
y3=yMin_in+deltay/2d0
y4=yMax_in-deltay/4d0
call SetZ(y2,var)
X2=Xsec(var,process)
call SetZ(y4,var)
X4=Xsec(var,process)
valueAB=deltay*(X1+4d0*X3+X5)/6d0
valueACB=deltay*(X1+4d0*X2+2d0*X3+4d0*X4+X5)/12d0
If(ABS((valueACB-valueAB)/valueMax)>toleranceZ) then
interX=integralOverZpoint_S_Rec(var,process,yMin_in,y3,X1,X2,X3,valueMax)&
+integralOverZpoint_S_Rec(var,process,y3,yMax_in,X3,X4,X5,valueMax)
else
interX=valueACB
end if
end function integralOverZpoint_S_Rec
!---------------------------------INTEGRATED over X (and Z)---------------------------------------------------------------
!!!
!!! the variable doX check should the integration over x be performed
!!! if doX=true, the integration is done
!!! if doX=false the single value (at xMin) is returned
function Xsec_Zint_Xint(var,process,doZ,zMin,zMax,doX,Xmin_in,Xmax_in,doCut,Cuts)
real(dp),dimension(1:13) :: var
logical::doX,doZ,doCut
real(dp),dimension(1:4),intent(in)::Cuts
real(dp) :: Xsec_Zint_Xint
real(dp) :: xmin, xmax,xmin_in,xmax_in,zMin,zMax
integer,dimension(1:3),intent(in)::process
if(doX) then
!!!Integration is required
!!! in the case process=3 the input is y, which is to be transformed to X
!!! evaluate corresponding y's
if(process(1)==3) then
xmin=XfromSYQ2(var(11),xmin_in,var(3))
xmax=XfromSYQ2(var(11),xmax_in,var(3))
else
xmin=xmin_in
xmax=xmax_in
end if
if(xmax > 1d0) then
if(outputlevel>1) write(*,*) WarningString('upper limit of x-integration is >1. It is set to 1.',moduleName)
xmax=1d0
end if
if(xmin < 0.000001d0) then
write(*,*) ErrorString('lower limit of x-integration is < 10^{-6}. Evaluation stop.',moduleName)
stop
end if
!! in case of cut we determine recut values
if(doCut) then
xmin=xMinWithCuts(xmin,var,Cuts)
xmax=xMaxWithCuts(xmax,var,Cuts)
end if
if(xmin<xmax) then
if(methodX=='I0') then !! central point estimaton
call SetX((xMin+xMax)/2d0,var)
Xsec_Zint_Xint=Xsec_Zint(var,process,doZ,zMin,zMax)*(xMax-xMin)
else !!! so far only Simpsons
Xsec_Zint_Xint=integralOverXpoint_S(var,process,doZ,zMin,zMax,xmin,xmax)
end if
else!!! it is possible that cuts cut out the integration range completely
Xsec_Zint_Xint=0d0
end if
else
!! no integration
!! just single point
if(process(1)==3) then
xmin=XfromSYQ2(var(11),(xmin_in+xmax_in)/2d0,var(3))
xmax=XfromSYQ2(var(11),(xmin_in+xmax_in)/2d0,var(3))
else
xmin=xmin_in
xmax=xmax_in
end if
if(xmin > 1d0) then
if(outputlevel>1) write(*,*) WarningString('upper limit of x-integration is >1. It is set to 1.',moduleName)
xmin=1d0
end if
if(xmin < 0.000001d0) then
write(*,*) ErrorString('lower limit of x-integration is < 10^{-6}. Evaluation stop.',moduleName)
stop
end if
!! in case of cut we determine recut values
if(doCut) then
xmin=xMinWithCuts(xmin,var,Cuts)
xmax=xMaxWithCuts(xmin,var,Cuts)+0.000001d0
end if
if(xmin<=xmax) then
call SetX((xMin+xMax)/2d0,var)
Xsec_Zint_Xint=Xsec_Zint(var,process,doZ,zMin,zMax)
else!!! it is possible that cuts cut out the integration range completely
Xsec_Zint_Xint=0d0
end if
end if
end function Xsec_Zint_Xint
!--------------Simpsons--------------------
!!!! parameter valueMax remembers the approximate value of integral to weight the tolerance.
!!!! evaluation is done by adaptive simpson
!!!! First we evaluate over 5 points and estimate the integral, and then split it to 3+3 and send to adaptive
!!!! Thus minimal number of points =9
function integralOverXpoint_S(var,process,doZ,zMin,zMax,yMin_in,yMax_in)
real(dp),dimension(1:13)::var
integer,dimension(1:3),intent(in)::process
real(dp) ::integralOverXpoint_S
real(dp) :: X1,X2,X3,X4,X5
real(dp) :: y2,y3,y4,deltay
real(dp) :: yMin_in,yMax_in
real(dp)::valueMax
logical::doZ
real(dp)::zmin,zMax
deltay=yMax_in-yMin_in
y2=yMin_in+deltay/4d0
y3=yMin_in+deltay/2d0
y4=yMax_in-deltay/4d0
call SetX(yMin_in,var)
X1= Xsec_Zint(var,process,doZ,zMin,zMax)
call SetX(y2,var)
X2= Xsec_Zint(var,process,doZ,zMin,zMax)
call SetX(y3,var)
X3= Xsec_Zint(var,process,doZ,zMin,zMax)
call SetX(y4,var)
X4= Xsec_Zint(var,process,doZ,zMin,zMax)
call SetX(yMax_in,var)
X5= Xsec_Zint(var,process,doZ,zMin,zMax)
!!approximate integral value
valueMax=deltay*(X1+4d0*X2+2d0*X3+4d0*X4+X5)/12d0
if(methodX=='SA') then
integralOverXpoint_S=IntegralOverXpoint_S_Rec(var,process,doZ,zMin,zMax,yMin_in,y3,X1,X2,X3,valueMax)+&
IntegralOverXpoint_S_Rec(var,process,doZ,zMin,zMax,y3,yMax_in,X3,X4,X5,valueMax)
else if(methodX=='S5') then
integralOverXpoint_S=valueMax !!!! 5-point integration
else
write(*,*) ErrorString(' integralOverXpoint_S incorrect method. Check methodX variable and initialization',moduleName)
end if
end function integralOverXpoint_S
!!!! X1,X3,X5 are cross-sections at end (X1,X5) and central (X3) points of integraitons
recursive function integralOverXpoint_S_Rec(var,process,doZ,zMin,zMax,yMin_in,yMax_in,X1,X3,X5,valueMax) result(interX)
real(dp),dimension(1:13)::var
integer,dimension(1:3),intent(in)::process
real(dp) :: interX,X1,X2,X3,X4,X5
real(dp) :: value,valueAB,valueACB
real(dp) :: yMin_in,yMax_in,y2,y3,y4,deltay
real(dp)::valueMax,vv
logical::doZ
real(dp)::zmin,zMax
deltay=yMax_in-yMin_in
y2=yMin_in+deltay/4d0
y3=yMin_in+deltay/2d0
y4=yMax_in-deltay/4d0
call SetX(y2,var)
X2= Xsec_Zint(var,process,doZ,zMin,zMax)
call SetX(y4,var)
X4= Xsec_Zint(var,process,doZ,zMin,zMax)
valueAB=deltay*(X1+4d0*X3+X5)/6d0
valueACB=deltay*(X1+4d0*X2+2d0*X3+4d0*X4+X5)/12d0
If(ABS((valueACB-valueAB)/valueMax)>toleranceX) then
interX=integralOverXpoint_S_Rec(var,process,doZ,zMin,zMax,yMin_in,y3,X1,X2,X3,valueMax)&
+integralOverXpoint_S_Rec(var,process,doZ,zMin,zMax,y3,yMax_in,X3,X4,X5,valueMax)
else
interX=valueACB
end if
end function integralOverXpoint_S_Rec
!---------------------------------INTEGRATED over Q (and X and Z)--------------------------------------------------------------
!!! the variable doQ check should the integration over x be performed
!!! if doQ=true, the integration is done
!!! if doQ=false the single value (at xMin) is returned
function Xsec_Zint_Xint_Qint(var,process,doZ,zMin,zMax,doX,xMin,xMax,doQ,Qmin_in,Qmax_in,doCut,Cuts)
real(dp),dimension(1:13):: var
logical::doX,doQ,doCut,doZ
real(dp),dimension(1:4),intent(in)::Cuts
real(dp) :: Xsec_Zint_Xint_Qint
real(dp) :: Qmin, Qmax,Qmin_in,Qmax_in,xMin,xMax,zMin,zMax
integer,dimension(1:3),intent(in)::process
!! the integration over Q is required
if(doQ) then
!!! evaluate correspnding y's
!!! in the case process=2 the integral is over y
if(process(1)==2) then
Qmin=QfromSXY(var(11),var(4), Qmin_in)
Qmax=QfromSXY(var(11),var(4), Qmax_in)
else
Qmin=Qmin_in
Qmax=Qmax_in
end if
! write(*,*) '>>>>>',Qmin,Qmax
!! in case of cut we determine recut values
if(doCut) then
if(doX) then
Qmin=QMinWithCuts(xmin,Qmin,var,Cuts)
Qmax=QMaxWithCuts(xmax,Qmax,var,Cuts)
else
Qmin=QMinWithCuts(xmin,Qmin,var,Cuts)
Qmax=QMaxWithCuts(xmin,Qmax,var,Cuts)
end if
end if
! write(*,*) '>>>>>',Qmin,Qmax
if(Qmin<Qmax) then
Xsec_Zint_Xint_Qint=integralOverQpoint_S(var,process,doZ,zMin,zMax,doX,xMin,xMax,Qmin,Qmax,doCut,Cuts)
!Xsec_Zint_Xint_Qint=integralOverQ2point_S(var,process,doZ,zMin,zMax,doX,xMin,xMax,1d0/(Qmax**2),1d0/(Qmin**2),doCut,Cuts)
else!!! it is possible that cuts cut out the integration range completely
Xsec_Zint_Xint_Qint=0d0
end if
else
! no integration over Q
if(process(1)==2) then
! y depends on Q linearly, thus there is avarages of transformed is transfromed avarage
Qmin=QfromSXY(var(11),var(4), Qmin_in)
Qmax=QfromSXY(var(11),var(4), Qmax_in)
else
Qmin=Qmin_in
Qmax=Qmax_in
end if
!! in case of cut we determine recut values
if(doCut) then
if(doX) then
Qmin=QMinWithCuts(xmin,Qmin,var,Cuts)
Qmax=QMaxWithCuts(xmax,Qmin,var,Cuts)
else
Qmin=QMinWithCuts((xmin+xmax)/2d0,Qmin,var,Cuts)
Qmax=QMaxWithCuts((xmin+xmax)/2d0,Qmin,var,Cuts)+0.000001d0!!! this is needed to resolve 0
end if
end if
if(Qmin<=Qmax) then
call SetQ((Qmin+Qmax)/2d0,var)
Xsec_Zint_Xint_Qint=Xsec_Zint_Xint(var,process,doZ,zMin,zMax,doX,xmin,xmax,doCut,Cuts)
else!!! it is possible that cuts cut out the integration range completely
Xsec_Zint_Xint_Qint=0d0
end if
end if
end function Xsec_Zint_Xint_Qint
!--------------Simpsons--------------------
!!!! parameter valueMax remembers the approximate value of integral to weight the tolerance.
!!!! evaluation is done by adaptive simpson
!!!! First we evaluate over 5 points and estimate the integral, and then split it to 3+3 and send to adaptive
!!!! Thus minimal number of points =9
function integralOverQpoint_S(var,process,doZ,zMin,zMax,doX,xMin,xMax,yMin_in,yMax_in,doCut,Cuts)
real(dp),dimension(1:13)::var
integer,dimension(1:3),intent(in)::process
real(dp) ::integralOverQpoint_S
real(dp) :: X1,X2,X3,X4,X5
real(dp) :: y2,y3,y4,deltay
real(dp) :: yMin_in,yMax_in
real(dp)::valueMax
logical::doX,doCut,doZ
real(dp),dimension(1:4),intent(in)::Cuts
real(dp)::xMin,xMax,zMin,zMax
deltay=yMax_in-yMin_in
y2=yMin_in+deltay/4d0
y3=yMin_in+deltay/2d0
y4=yMax_in-deltay/4d0
call SetQ(yMin_in,var)
X1=2d0*yMin_in*Xsec_Zint_Xint(var,process,doZ,zMin,zMax,doX,xmin,xmax,doCut,Cuts)
call SetQ(y2,var)
X2=2d0*y2*Xsec_Zint_Xint(var,process,doZ,zMin,zMax,doX,xmin,xmax,doCut,Cuts)
call SetQ(y3,var)
X3=2d0*y3*Xsec_Zint_Xint(var,process,doZ,zMin,zMax,doX,xmin,xmax,doCut,Cuts)
call SetQ(y4,var)
X4=2d0*y4*Xsec_Zint_Xint(var,process,doZ,zMin,zMax,doX,xmin,xmax,doCut,Cuts)
call SetQ(yMax_in,var)
X5=2d0*yMax_in*Xsec_Zint_Xint(var,process,doZ,zMin,zMax,doX,xmin,xmax,doCut,Cuts)
!!approximate integral value
valueMax=deltay*(X1+4d0*X2+2d0*X3+4d0*X4+X5)/12d0
integralOverQpoint_S=IntegralOverQpoint_S_Rec(var,process,doZ,zMin,zMax,doX,xMin,xMax,doCut,Cuts,yMin_in,y3,X1,X2,X3,valueMax)+&
IntegralOverQpoint_S_Rec(var,process,doZ,zMin,zMax,doX,xMin,xMax,doCut,Cuts,y3,yMax_in,X3,X4,X5,valueMax)
end function integralOverQpoint_S
!!!! X1,X3,X5 are cross-sections at end (X1,X5) and central (X3) points of integraitons
recursive function integralOverQpoint_S_Rec(var,process,doZ,zMin,zMax,doX,xMin,xMax,doCut,Cuts,yMin_in,yMax_in,X1,X3,X5,valueMax)&
result(interX)
real(dp),dimension(1:13)::var
integer,dimension(1:3),intent(in)::process
real(dp) :: interX,X1,X2,X3,X4,X5
real(dp) :: value,valueAB,valueACB
real(dp) :: yMin_in,yMax_in,y2,y3,y4,deltay
real(dp)::valueMax,vv
logical::doX,doCut,doZ
real(dp),dimension(1:4),intent(in)::Cuts
real(dp)::xMin,xMax,zMin,zMax
deltay=yMax_in-yMin_in
y2=yMin_in+deltay/4d0
y3=yMin_in+deltay/2d0
y4=yMax_in-deltay/4d0
call SetQ(y2,var)
X2=2*y2*Xsec_Zint_Xint(var,process,doZ,zMin,zMax,doX,xmin,xmax,doCut,Cuts)
call SetQ(y4,var)
X4=2*y4*Xsec_Zint_Xint(var,process,doZ,zMin,zMax,doX,xmin,xmax,doCut,Cuts)
valueAB=deltay*(X1+4d0*X3+X5)/6d0
valueACB=deltay*(X1+4d0*X2+2d0*X3+4d0*X4+X5)/12d0
If(ABS((valueACB-valueAB)/valueMax)>tolerance) then
interX=integralOverQpoint_S_Rec(var,process,doZ,zMin,zMax,doX,xMin,xMax,doCut,Cuts,yMin_in,y3,X1,X2,X3,valueMax)&
+integralOverQpoint_S_Rec(var,process,doZ,zMin,zMax,doX,xMin,xMax,doCut,Cuts,y3,yMax_in,X3,X4,X5,valueMax)
else
interX=valueACB
end if
end function integralOverQpoint_S_Rec
!--------------Simpsons--------------------
!!! integration over y=1/Q2 (jacobian=1/2/y^{3/2})
!!!
!!!! parameter valueMax remembers the approximate value of integral to weight the tolerance.
!!!! evaluation is done by adaptive simpson
!!!! First we evaluate over 5 points and estimate the integral, and then split it to 3+3 and send to adaptive
!!!! Thus minimal number of points =9
function integralOverQ2point_S(var,process,doZ,zMin,zMax,doX,xMin,xMax,yMin_in,yMax_in,doCut,Cuts)
real(dp),dimension(1:13)::var
integer,dimension(1:3),intent(in)::process
real(dp) ::integralOverQ2point_S
real(dp) :: X1,X2,X3,X4,X5
real(dp) :: y2,y3,y4,deltay
real(dp) :: yMin_in,yMax_in
real(dp)::valueMax
logical::doX,doCut,doZ
real(dp),dimension(1:4),intent(in)::Cuts
real(dp)::xMin,xMax,zMin,zMax
deltay=yMax_in-yMin_in
y2=yMin_in+deltay/4d0
y3=yMin_in+deltay/2d0
y4=yMax_in-deltay/4d0
call SetQ2(1d0/yMin_in,var)
X1=Xsec_Zint_Xint(var,process,doZ,zMin,zMax,doX,xmin,xmax,doCut,Cuts)/yMin_in**2
call SetQ2(1d0/y2,var)
X2=Xsec_Zint_Xint(var,process,doZ,zMin,zMax,doX,xmin,xmax,doCut,Cuts)/y2**2
call SetQ2(1d0/y3,var)
X3=Xsec_Zint_Xint(var,process,doZ,zMin,zMax,doX,xmin,xmax,doCut,Cuts)/y3**2
call SetQ2(1d0/y4,var)
X4=Xsec_Zint_Xint(var,process,doZ,zMin,zMax,doX,xmin,xmax,doCut,Cuts)/y4**2
call SetQ2(1d0/yMax_in,var)
X5=Xsec_Zint_Xint(var,process,doZ,zMin,zMax,doX,xmin,xmax,doCut,Cuts)/yMax_in**2
!!approximate integral value
valueMax=deltay*(X1+4d0*X2+2d0*X3+4d0*X4+X5)/12d0
integralOverQ2point_S=IntegralOverQ2point_S_Rec(var,process,doZ,zMin,zMax,doX,xMin,xMax,doCut,Cuts,yMin_in,y3,X1,X2,X3,valueMax)&
+IntegralOverQ2point_S_Rec(var,process,doZ,zMin,zMax,doX,xMin,xMax,doCut,Cuts,y3,yMax_in,X3,X4,X5,valueMax)
end function integralOverQ2point_S
!!!! X1,X3,X5 are cross-sections at end (X1,X5) and central (X3) points of integraitons
recursive function integralOverQ2point_S_Rec(var,process,doZ,zMin,zMax,doX,xMin,xMax,doCut,Cuts,yMin_in,yMax_in,&
X1,X3,X5,valueMax) result(interX)
real(dp),dimension(1:13) ::var
integer,dimension(1:3),intent(in)::process
real(dp) :: interX,X1,X2,X3,X4,X5
real(dp) :: value,valueAB,valueACB
real(dp) :: yMin_in,yMax_in,y2,y3,y4,deltay
real(dp)::valueMax,vv
logical::doX,doCut,doZ
real(dp),dimension(1:4),intent(in)::Cuts
real(dp)::xMin,xMax,zMin,zMax
deltay=yMax_in-yMin_in
y2=yMin_in+deltay/4d0
y3=yMin_in+deltay/2d0
y4=yMax_in-deltay/4d0
call SetQ2(1d0/y2,var)
X2=Xsec_Zint_Xint(var,process,doZ,zMin,zMax,doX,xmin,xmax,doCut,Cuts)/y2**2
call SetQ2(1d0/y4,var)
X4=Xsec_Zint_Xint(var,process,doZ,zMin,zMax,doX,xmin,xmax,doCut,Cuts)/y4**2
valueAB=deltay*(X1+4d0*X3+X5)/6d0
valueACB=deltay*(X1+4d0*X2+2d0*X3+4d0*X4+X5)/12d0
If(ABS((valueACB-valueAB)/valueMax)>tolerance) then
interX=integralOverQ2point_S_Rec(var,process,doZ,zMin,zMax,doX,xMin,xMax,doCut,Cuts,yMin_in,y3,X1,X2,X3,valueMax)&
+integralOverQ2point_S_Rec(var,process,doZ,zMin,zMax,doX,xMin,xMax,doCut,Cuts,y3,yMax_in,X3,X4,X5,valueMax)
else
interX=valueACB
end if
end function integralOverQ2point_S_Rec
!---------------------------------INTEGRATED over pT (and Z and Q and X)--------------------------------------------------------------
!!! function determines the best value of PT-sections from PT-bin size, and Q
!!! it is determined by formula Q/PT< val/ (2 k) => def+2K
function NumPT_auto(dPT,Q)
real(dp),parameter::val=40d0
real(dp)::dPT,Q,rat
integer::i,NumPT_auto
rat=Q/dPT
if(rat>40d0) then
NumPT_auto=NumPTdefault
return
else
do i=1,5
if(rat>(40d0/2d0/i)) then
NumPT_auto=NumPTdefault+2*i
return
end if
end do
end if
if(outputlevel>1) then
write(*,*) WarningString('Fail to automatically determine number of Pt-section for a bin.',moduleName)
write(*,*) '>> Possibly Pt-bin is too large', dPT
end if
NumPT_auto=NumPTdefault+12
end function NumPT_auto
!!! the variable doPT check should the integration over pT be performed
!!! if doZ=true, the integration is done
!!! if doZ=false the single value (at xMin) is returned
function Xsec_Zint_Xint_Qint_PTint(var,process,doZ,zMin,zMax,doX,xMin,xMax,doQ,Qmin,Qmax,doPT,ptMin_in,ptMax_in,doCut,Cuts,Num)
real(dp),dimension(1:13) :: var
real(dp),dimension(1:4),intent(in) :: Cuts
logical::doX,doQ,doZ,doPT,doCut
real(dp) :: Xsec_Zint_Xint_Qint_PTint
real(dp) :: Qmin,Qmax,xMin,xMax,zMin,zMax,ptMin,ptMax,pT_cur,deltaPT,inter,ptMax_in,ptMin_in
integer,dimension(1:3),intent(in)::process
integer::Num,i
if(ptMin_in<0.001d0) then
pTmin=0.001d0
else
pTmin=ptMin_in
end if
ptMax=ptMax_in
!! the integration over PT is required
if(doPT) then
if(mod(num,2)>0) then
write(*,*) ErrorString('number of Simpson sections is odd. Evaluation stop.',moduleName)
stop
end if
!!!!!!!!!!!!!!!!!!!fixed number Simpsons
deltaPT=(PTmax-PTmin)/Num
call SetPT(PTmin,var)
inter=2d0*PTmin*Xsec_Zint_Xint_Qint(var,process,doZ,zMin,zMax,doX,xMin,xMax,doQ,Qmin,Qmax,doCut,Cuts)
!!!! even terms
do i=1,Num-1,2
pT_cur=PTmin+i*deltaPT
call SetPT(pT_cur,var)
inter=inter+8d0*pt_cur*Xsec_Zint_Xint_Qint(var,process,doZ,zMin,zMax,doX,xMin,xMax,doQ,Qmin,Qmax,doCut,Cuts)
end do
if(Num>2) then
!!!! odd terms
do i=2,Num-2,2
pT_cur=PTmin+i*deltaPT
call SetPT(pT_cur,var)
inter=inter+4d0*pt_cur*Xsec_Zint_Xint_Qint(var,process,doZ,zMin,zMax,doX,xMin,xMax,doQ,Qmin,Qmax,doCut,Cuts)
end do
end if
call SetPT(PTmax,var)
inter=inter+2d0*PTmax*Xsec_Zint_Xint_Qint(var,process,doZ,zMin,zMax,doX,xMin,xMax,doQ,Qmin,Qmax,doCut,Cuts)!!!! last term
Xsec_Zint_Xint_Qint_PTint=deltaPT/3d0*inter
else
! no integration over PT
call SetPT((PTmin+PTmax)/2d0,var)
Xsec_Zint_Xint_Qint_PTint=Xsec_Zint_Xint_Qint(var,process,doZ,zMin,zMax,doX,xMin,xMax,doQ,Qmin,Qmax,doCut,Cuts)
! write(*,*) (PTmin+PTmax)/2d0," --> ",Xsec_Zint_Xint_Qint_PTint
end if
end function Xsec_Zint_Xint_Qint_PTint
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! UNIVERSAL INTERFACE TO THE CROSS-SECTION !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!----------------------------------------------- single pt point-----------------------------------------
!!!! just a point cross-section
subroutine CalcXsecSINGLE_SIDIS(X,pt)
real(dp),dimension(1:13):: var
real(dp)::X,pt
CallCounter=CallCounter+1
var=kinematicArray(pt,s_global,z_global,x_global,Q_global,M2_target_global,M2_product_global)
X=PreFactor1(process_global(1))*xSec(var,process_global)
end subroutine CalcXsecSINGLE_SIDIS
!!!! just a point cross-section
subroutine CalcXsecLIST_SIDIS(X_list,pt_list)
real(dp),dimension(1:13):: var
real(dp),intent(in)::pt_list(:)
real(dp),intent(out)::X_list(:)
integer::length,length2,i
length=size(pt_list)
if(size(X_list)/=length) then
write(*,*) ErrorString('CalcXsecLIST_SIDIS: sizes of X_list and pt_list are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
!$OMP PARALLEL DO DEFAULT(SHARED)
do i=1,length
call CalcXsecSINGLE_SIDIS(X_list(i),pt_list(i))
end do
!$OMP END PARALLEL DO
end subroutine CalcXsecLIST_SIDIS
!----------------------------------------------- XQZ-integerations -----------------------------------------
!!! integrated over XQZ
subroutine CalcXsecSINGLE_SIDIS_Zint_Xint_Qint(X,pt,zMin,zMax,xMin,xMax,Qmin,Qmax)
real(dp)::X,pt,xMin,xMax,Qmin,Qmax,zMin,zMax
real(dp),dimension(1:13):: var
CallCounter=CallCounter+1
var=kinematicArray(pt,s_global,(zMin+zMax)/2d0,(xMin+xMax)/2d0,(Qmin+Qmax)/2d0,M2_target_global,M2_product_global)
X=PreFactor1(process_global(1))*Xsec_Zint_Xint_Qint(var,process_global,.true.,zMin,zMax,.true.,xMin,xMax,.true.,Qmin,Qmax,&
includeCuts_global,CutParameters_global)
end subroutine CalcXsecSINGLE_SIDIS_Zint_Xint_Qint
!!! integrated over XQZ
subroutine CalcXsecLIST_SIDIS_Zint_Xint_Qint(X_list,pt_list,zMin,zMax,xMin,xMax,Qmin,Qmax)
real(dp),intent(in)::pt_list(:)
real(dp),intent(in)::xMin,xMax,Qmin,Qmax,zMin,zMax
real(dp),intent(out)::X_list(:)
integer::i,length
length=size(pt_list)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!sizes checks
if(size(X_list)/=length) then
write(*,*) ErrorString('CalcXsecLIST_SIDIS_Zint_Qint_Xint: sizes of X_list and pt_list are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
!$OMP PARALLEL DO DEFAULT(SHARED)
do i=1,length
call CalcXsecSINGLE_SIDIS_Zint_Xint_Qint(X_list(i),pt_list(i),zMin,zMax,xMin,xMax,Qmin,Qmax)
end do
!$OMP END PARALLEL DO
end subroutine CalcXsecLIST_SIDIS_Zint_Xint_Qint
!----------------------------------------------- PT+XQZ-integerations -----------------------------------------
!!! this function just to help incapsulte the variables for parallel computation
function CalcXsecHELP_PTint_Zint_Xint_Qint(ptMin,ptMax,zMin,zMax,xMin,xMax,Qmin,Qmax)
real(dp)::pt,xMin,xMax,Qmin,Qmax,zMin,zMax,ptMin,ptMax,CalcXsecHELP_PTint_Zint_Xint_Qint
real(dp),dimension(1:13):: var
integer::Num
var=kinematicArray((ptMin+ptMax)/2d0,s_global,(zMin+zMax)/2d0,(xMin+xMax)/2d0,(Qmin+Qmax)/2d0,&
M2_target_global,M2_product_global)
Num=NumPT_auto(ptMax-ptMin,var(2))
CalcXsecHELP_PTint_Zint_Xint_Qint=PreFactor1(process_global(1))*&
Xsec_Zint_Xint_Qint_PTint(var,process_global,.true.,zMin,zMax,.true.,xMin,xMax,.true.,Qmin,Qmax,.true.,ptMin,ptMax,&
includeCuts_global,CutParameters_global,Num)
end function CalcXsecHELP_PTint_Zint_Xint_Qint
!!! integrated over PT+XQZ
subroutine CalcXsecSINGLE_SIDIS_PTint_Zint_Xint_Qint(X,ptMin,ptMax,zMin,zMax,xMin,xMax,Qmin,Qmax)
real(dp)::X,pt,xMin,xMax,Qmin,Qmax,zMin,zMax,ptMin,ptMax
CallCounter=CallCounter+1
X=CalcXsecHELP_PTint_Zint_Xint_Qint(ptMin,ptMax,zMin,zMax,xMin,xMax,Qmin,Qmax)
end subroutine CalcXsecSINGLE_SIDIS_PTint_Zint_Xint_Qint
subroutine CalcXsecLIST_SIDIS_PTint_Zint_Xint_Qint(X_list,ptMin_list,ptMax_list,zMin,zMax,xMin,xMax,Qmin,Qmax)
real(dp)::xMin,xMax,Qmin,Qmax,zMin,zMax
real(dp),intent(in)::ptMax_list(:),ptMin_list(:)
real(dp)::X_list(:)
integer::length,i
length=size(ptMin_list)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!sizes checks
if(size(X_list)/=length) then
write(*,*) ErrorString('CalcXsecLIST_SIDIS_PTint_Zint_Qint_Xint: sizes of X_list and ptMin_list are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(ptMax_list)/=length) then
write(*,*) ErrorString('CalcXsecLIST_SIDIS_PTint_Zint_Qint_Xint: sizes of ptMax_list and ptMin_list are not equal.'&
,moduleName)
write(*,*) 'Evaluation stop'
stop
end if
CallCounter=CallCounter+length
!$OMP PARALLEL DO DEFAULT(SHARED)
do i=1,length
X_list(i)=CalcXsecHELP_PTint_Zint_Xint_Qint(ptMin_list(i),ptMax_list(i),zMin,zMax,xMin,xMax,Qmin,Qmax)
end do
!$OMP END PARALLEL DO
end subroutine CalcXsecLIST_SIDIS_PTint_Zint_Xint_Qint
subroutine CalcXsecLISTLIST_SIDIS_PTint_Zint_Xint_Qint(X_list,pt_list,zMin,zMax,xMin,xMax,Qmin,Qmax)
real(dp)::xMin,xMax,Qmin,Qmax,zMin,zMax,ptMin,ptMax
real(dp),intent(in)::pt_list(:)
real(dp)::X_list(:)
integer::length,i
length=size(pt_list)-1
!!!!!!!!!!!!!!!!!!!!!!!!!!!!sizes checks
if(size(X_list)/=length) then
write(*,*) ErrorString('CalcXsecLIST_SIDIS_PTint_Zint_Qint_Xint: sizes of X_list and ptMin_list are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
CallCounter=CallCounter+length
!$OMP PARALLEL DO DEFAULT(SHARED)
do i=1,length
X_list(i)=CalcXsecHELP_PTint_Zint_Xint_Qint(pt_list(i),pt_list(i+1),zMin,zMax,xMin,xMax,Qmin,Qmax)
end do
!$OMP END PARALLEL DO
end subroutine CalcXsecLISTLIST_SIDIS_PTint_Zint_Xint_Qint
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!! MAIN INTERFACE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!! single value interface
subroutine xSec_SIDIS(xx,process,s,pT,z,x,Q,doCut,Cuts,masses)
integer,intent(in),dimension(1:3)::process !the number of process
real(dp),intent(in)::s !Mandelshtam s
real(dp),intent(in),dimension(1:2)::pT !(qtMin,qtMax)
real(dp),intent(in),dimension(1:2)::z !(zmin,zmax)
real(dp),intent(in),dimension(1:2)::x !(xmin,xmax)
real(dp),intent(in),dimension(1:2)::Q !(Qmin,Qmax)
logical,intent(in)::doCut !triger cuts
real(dp),intent(in),dimension(1:4)::Cuts !(ymin,yMax,W2)
real(dp),intent(in),dimension(1:2),optional::masses !(mass_target,mass-product)GeV
real(dp),intent(out)::xx
integer :: i,length
real(dp),dimension(1:13):: var
integer::Num
CallCounter=CallCounter+1
if(PRESENT(masses)) then
var=kinematicArray((pt(1)+pt(2))/2d0,s,(z(1)+z(2))/2d0,(x(1)+x(2))/2d0,(Q(1)+Q(2))/2d0,masses(1)**2,masses(2)**2)
else
var=kinematicArray((pt(1)+pt(2))/2d0,s,(z(1)+z(2))/2d0,(x(1)+x(2))/2d0,(Q(1)+Q(2))/2d0,M2_target_global,M2_product_global)
end if
Num=NumPT_auto(pt(2)-pt(1),var(2))
xx=PreFactor1(process(1))*&
Xsec_Zint_Xint_Qint_PTint(var,process,.true.,z(1),z(2),.true.,x(1),x(2),.true.,Q(1),Q(2),.true.,pt(1),pt(2),&
doCut,Cuts,Num)
end subroutine xSec_SIDIS
subroutine xSec_SIDIS_List(xx,process,s,pT,z,x,Q,doCut,Cuts,masses)
integer,intent(in),dimension(:,:)::process !the number of process
real(dp),intent(in),dimension(:)::s !Mandelshtam s
real(dp),intent(in),dimension(:,:)::pT !(qtMin,qtMax)
real(dp),intent(in),dimension(:,:)::z !(zmin,zmax)
real(dp),intent(in),dimension(:,:)::x !(xmin,xmax)
real(dp),intent(in),dimension(:,:)::Q !(Qmin,Qmax)
logical,intent(in),dimension(:)::doCut !triger cuts
real(dp),intent(in),dimension(:,:)::Cuts !(ymin,yMax,W2)
real(dp),intent(in),dimension(:,:),optional::masses !(mass_target,mass-product)GeV
real(dp),dimension(:),intent(out)::xx
integer :: i,length
length=size(s)
CallCounter=CallCounter+length
!!! cheking sizes
if(size(xx)/=length) then
write(*,*) ErrorString('xSec_SIDIS_List: sizes of xSec and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(process,1)/=length) then
write(*,*) ErrorString('xSec_SIDIS_List: sizes of process and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(pT,1)/=length) then
write(*,*) ErrorString('xSec_SIDIS_List: sizes of pT and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(x,1)/=length) then
write(*,*) ErrorString('xSec_SIDIS_List: sizes of x and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(Q,1)/=length) then
write(*,*) ErrorString('xSec_SIDIS_List: sizes of Q and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(z,1)/=length) then
write(*,*) ErrorString('xSec_SIDIS_List: sizes of z and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(doCut)/=length) then
write(*,*) ErrorString('xSec_SIDIS_List: sizes of doCut and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(Cuts,1)/=length) then
write(*,*) ErrorString('xSec_SIDIS_List: sizes of Cuts and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(process,2)/=3) then
write(*,*) ErrorString('xSec_SIDIS_List: process list must be (:,1:3).',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(pT,2)/=2) then
write(*,*) ErrorString('xSec_SIDIS_List: pt list must be (:,1:2).',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(x,2)/=2) then
write(*,*) ErrorString('xSec_SIDIS_List: x list must be (:,1:2).',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(Q,2)/=2) then
write(*,*) ErrorString('xSec_SIDIS_List: Q list must be (:,1:2).',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(z,2)/=2) then
write(*,*) ErrorString('xSec_SIDIS_List: z list must be (:,1:2).',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(Cuts,2)/=4) then
write(*,*) ErrorString('xSec_SIDIS_List: cuts list must be (:,1:4).',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
CallCounter=CallCounter+length
if(PRESENT(masses)) then
if(size(masses,1)/=length) then
write(*,*) ErrorString('xSec_SIDIS_List: sizes of masses and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(masses,2)/=2) then
write(*,*) ErrorString('xSec_SIDIS_List: mass list must be (:,1:2).',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
!$OMP PARALLEL DO DEFAULT(SHARED)
do i=1,length
xx(i)=xSecFULL(process(i,1:3),s(i),pt(i,1),pt(i,2),z(i,1),z(i,2),x(i,1),x(i,2),Q(i,1),Q(i,2),doCut(i),Cuts(i,1:4),&
masses(i,1)**2,masses(i,2)**2)
end do
!$OMP END PARALLEL DO
else
!$OMP PARALLEL DO DEFAULT(SHARED)
do i=1,length
xx(i)=xSecFULL(process(i,1:3),s(i),pt(i,1),pt(i,2),z(i,1),z(i,2),x(i,1),x(i,2),Q(i,1),Q(i,2),doCut(i),Cuts(i,1:4),&
M2_target_global,M2_product_global)
end do
!$OMP END PARALLEL DO
end if
end subroutine xSec_SIDIS_List
!!!! problem is that f2py does not like optional arguments.. in any form
subroutine xSec_SIDIS_List_forharpy(xx,process,s,pT,z,x,Q,doCut,Cuts,masses)
integer,intent(in),dimension(:,:)::process !the number of process
real(dp),intent(in),dimension(:)::s !Mandelshtam s
real(dp),intent(in),dimension(:,:)::pT !(qtMin,qtMax)
real(dp),intent(in),dimension(:,:)::z !(zmin,zmax)
real(dp),intent(in),dimension(:,:)::x !(xmin,xmax)
real(dp),intent(in),dimension(:,:)::Q !(Qmin,Qmax)
logical,intent(in),dimension(:)::doCut !triger cuts
real(dp),intent(in),dimension(:,:)::Cuts !(ymin,yMax,W2)
real(dp),intent(in),dimension(:,:)::masses !(mass_target,mass-product)GeV
real(dp),dimension(:),intent(out)::xx
integer :: i,length
length=size(s)
CallCounter=CallCounter+length
!!! cheking sizes
if(size(xx)/=length) then
write(*,*) ErrorString('xSec_SIDIS_List: sizes of xSec and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(process,1)/=length) then
write(*,*) ErrorString('xSec_SIDIS_List: sizes of process and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(pT,1)/=length) then
write(*,*) ErrorString('xSec_SIDIS_List: sizes of pT and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(x,1)/=length) then
write(*,*) ErrorString('xSec_SIDIS_List: sizes of x and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(Q,1)/=length) then
write(*,*) ErrorString('xSec_SIDIS_List: sizes of Q and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(z,1)/=length) then
write(*,*) ErrorString('xSec_SIDIS_List: sizes of z and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(doCut)/=length) then
write(*,*) ErrorString('xSec_SIDIS_List: sizes of doCut and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(Cuts,1)/=length) then
write(*,*) ErrorString('xSec_SIDIS_List: sizes of Cuts and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(process,2)/=3) then
write(*,*) ErrorString('xSec_SIDIS_List: process list must be (:,1:3).',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(pT,2)/=2) then
write(*,*) ErrorString('xSec_SIDIS_List: pt list must be (:,1:2).',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(x,2)/=2) then
write(*,*) ErrorString('xSec_SIDIS_List: x list must be (:,1:2).',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(Q,2)/=2) then
write(*,*) ErrorString('xSec_SIDIS_List: Q list must be (:,1:2).',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(z,2)/=2) then
write(*,*) ErrorString('xSec_SIDIS_List: z list must be (:,1:2).',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(Cuts,2)/=4) then
write(*,*) ErrorString('xSec_SIDIS_List: cuts list must be (:,1:4).',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
CallCounter=CallCounter+length
if(size(masses,1)/=length) then
write(*,*) ErrorString('xSec_SIDIS_List: sizes of masses and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(masses,2)/=2) then
write(*,*) ErrorString('xSec_SIDIS_List: mass list must be (:,1:2).',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
!$OMP PARALLEL DO DEFAULT(SHARED)
do i=1,length
xx(i)=xSecFULL(process(i,1:3),s(i),pt(i,1),pt(i,2),z(i,1),z(i,2),x(i,1),x(i,2),Q(i,1),Q(i,2),doCut(i),Cuts(i,1:4),&
masses(i,1)**2,masses(i,2)**2)
end do
!$OMP END PARALLEL DO
end subroutine xSec_SIDIS_List_forharpy
!!! helper to incapsulate PARALLEL variables
function xSecFULL(proc,s,ptmin,ptmax,zmin,zmax,xmin,xmax,Qmin,Qmax,doCut,Cuts,m1,m2)
real(dp)::s,ptmin,ptmax,zmin,zmax,xmin,xmax,Qmin,Qmax,Cuts(1:4),xSecFULL,var(1:13),m1,m2
integer::proc(1:3),Num
logical::doCut
var=kinematicArray((ptmin+ptmax)/2d0,s,(zmin+zmax)/2d0,(xmin+xmax)/2d0,(Qmin+Qmax)/2d0,m1,m2)
Num=NumPT_auto(ptmax-ptmin,var(2))
! write(*,*) 'aTMD:1 ',var
! write(*,*) 'aTMD:2 ',proc,m1,m2
! write(*,*) 'aTMD:3 ',.true.,zmin,zmax,.true.,xmin,xmax,.true.,Qmin,Qmax,.true.,ptmin,ptmax
xSecFULL=PreFactor1(proc(1))*Xsec_Zint_Xint_Qint_PTint(var,proc,&
.true.,zmin,zmax,.true.,xmin,xmax,.true.,Qmin,Qmax,.true.,ptmin,ptmax,doCut,Cuts,Num)
end function xSecFULL
!!!! problem is that f2py does not like optional arguments.. in any form
subroutine xSec_SIDIS_BINLESS_List_forharpy(xx,process,s,pT,z,x,Q,masses)
integer,intent(in),dimension(:,:)::process !the number of process
real(dp),intent(in),dimension(:)::s !Mandelshtam s
real(dp),intent(in),dimension(:)::pT !(pt)
real(dp),intent(in),dimension(:)::z !(z)
real(dp),intent(in),dimension(:)::x !(x)
real(dp),intent(in),dimension(:)::Q !(Q)
real(dp),intent(in),dimension(:,:)::masses !(mass_target,mass-product)GeV
real(dp),dimension(:),intent(out)::xx
integer :: i,length
length=size(s)
CallCounter=CallCounter+length
!!! cheking sizes
if(size(xx)/=length) then
write(*,*) ErrorString('xSec_SIDIS_BINLESS_List: sizes of xSec and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(process,1)/=length) then
write(*,*) ErrorString('xSec_SIDIS_BINLESS_List: sizes of process and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(pT)/=length) then
write(*,*) ErrorString('xSec_SIDIS_BINLESS_List: sizes of pT and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(x)/=length) then
write(*,*) ErrorString('xSec_SIDIS_BINLESS_List: sizes of x and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(Q)/=length) then
write(*,*) ErrorString('xSec_SIDIS_BINLESS_List: sizes of Q and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(z)/=length) then
write(*,*) ErrorString('xSec_SIDIS_BINLESS_List: sizes of z and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(process,2)/=3) then
write(*,*) ErrorString('xSec_SIDIS_BINLESS_List: process list must be (:,1:3).',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
CallCounter=CallCounter+length
if(size(masses,1)/=length) then
write(*,*) ErrorString('xSec_SIDIS_BINLESS_List: sizes of masses and s lists are not equal.',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
if(size(masses,2)/=2) then
write(*,*) ErrorString('xSec_SIDIS_BINLESS_List: mass list must be (:,1:2).',moduleName)
write(*,*) 'Evaluation stop'
stop
end if
!$OMP PARALLEL DO DEFAULT(SHARED)
do i=1,length
xx(i)=xSecBINLESS(process(i,1:3),s(i),pt(i),z(i),x(i),Q(i),masses(i,1)**2,masses(i,2)**2)
end do
!$OMP END PARALLEL DO
end subroutine xSec_SIDIS_BINLESS_List_forharpy
!!! helper to incapsulate PARALLEL variables
!!! evaluate cross-section without integrations over bins, and without cuts
function xSecBINLESS(proc,s,pt,z,x,Q,m1,m2)
real(dp)::s,pt,z,x,Q,xSecBINLESS,var(1:13),m1,m2
integer::proc(1:3)
var=kinematicArray(pt,s,z,x,Q,m1,m2)
! write(*,*) 'aTMD:1 ',var
! write(*,*) 'aTMD:2 ',proc,m1,m2
! write(*,*) 'aTMD:3 ',.false.,z,z,.false.,x,x,.false.,Q,Q,.false.,pt,pt
xSecBINLESS=PreFactor1(proc(1))*Xsec_Zint_Xint_Qint_PTint(var,proc,&
.false.,z,z,.false.,x,x,.false.,Q,Q,.false.,pt,pt,.false.,(/0d0,1d0,0d0,1d9/),4)
end function xSecBINLESS
end module TMDX_SIDIS
| 71,627 | 34.600398 | 159 | f90 |
artemide-public | artemide-public-master/src/TMD_AD.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 2.03
!
! Contains the expressions for coefficients of anomalous dimensions used by TMDR module.
! Main purpose is to make evaluation of ADs fast and transparent.
!
! if you use this module please, quote 1803.11089
!
! A.Vladimirov (10.02.2020)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module TMD_AD
use aTMDe_Numerics
use IO_functions
use QCDinput
implicit none
private
!Current version of module
character (len=5),parameter :: version="v2.06"
character (len=7),parameter :: moduleName="TMD_AD"
logical::started=.false.
!!! Minimum and maximum avalible values of Nf (number of quark flavors)
integer,parameter::NfMIN=0
integer,parameter::NfMAX=6
!!! color factors for SU(N=3)
real(dp),parameter::TF=1d0/2d0
real(dp),parameter::CF=4d0/3d0
real(dp),parameter::CA=3d0
real(dp),parameter::dAA=135d0/8d0 !d_A^{abcd}d_A^{abcd}/(N^2-1)
real(dp),parameter::dFA=15d0/16d0 !d_F^{abcd}d_A^{abcd}/(N^2-1)
real(dp),parameter::dFF=5d0/96d0 !d_F^{abcd}d_F^{abcd}/(N^2-1)
!!--------------------------------------------------
!! I precompute values of AD on initialization stage
!! and same them to matrices (internal to module).
!! A pack of get-functions returns the values of matrices.
!!
!! There are two classes of anomalous dimensions primary and secondary.
!! Primary:
!! These are set up to the best known order
!! Secondary:
!! These are derived from primary ADs, up to requested number of loops
!!! beta function (up to 5 loops) (numeration starts from 0)
real(dp),dimension(0:4,NfMIN:NfMAX)::beta_internal
!!! gamma cusp for quark/gluon (up to 5 loops) (numeration starts from 0)
real(dp),dimension(0:4,NfMIN:NfMAX)::GammaCuspQ_internal
real(dp),dimension(0:4,NfMIN:NfMAX)::GammaCuspG_internal
!!! gammaV for quark/gluon (up to 4 loops) (numeration starts from 1)
real(dp),dimension(1:4,NfMIN:NfMAX)::GammaVQ_internal
real(dp),dimension(1:4,NfMIN:NfMAX)::GammaVG_internal
!!!! Roots of beta-function betaRoots(n,k,Nf) \beta(a)=0
!!!! Depending on Nf and k, these can be complex or real. Each case special
COMPLEX*16,dimension(1:4,1:4,NfMIN:NfMAX)::betaRoots_internal
!!!! coefficients of integral Gamma/2
COMPLEX*16,dimension(1:4,0:4,NfMIN:NfMAX)::GammaIntegral_Q_internal
COMPLEX*16,dimension(1:4,0:4,NfMIN:NfMAX)::GammaIntegral_G_internal
!!! d^{(n,k)} for quark/gluon (up to 4 loops) (numeration starts from 1)
real(dp),dimension(1:4,0:4,NfMIN:NfMAX)::d_nk_Q_internal
real(dp),dimension(1:4,0:4,NfMIN:NfMAX)::d_nk_G_internal
!!! d^{(n,k,l)} (resummed coefficients) for quark/Gluon (up to 4 loops/no tree)(numeration starts from 0/)
real(dp),dimension(1:4,0:4,0:4,NfMIN:NfMAX)::d_nkl_Q_internal
real(dp),dimension(1:4,0:4,0:4,NfMIN:NfMAX)::d_nkl_G_internal
!!! v^{(n,k)} for quark/Gluon (up to 4 loops )(numeration starts from 0)
real(dp),dimension(0:4,0:5,NfMIN:NfMAX)::v_nk_Q_internal
real(dp),dimension(0:4,0:5,NfMIN:NfMAX)::v_nk_G_internal
!!! OMEGA^{(n,k)} for quark/Gluon (up to 5 loops )(numeration starts from 0)
!!! Each terms is multiplied by its own functional coefficeint.
real(dp),dimension(0:4,1:5,NfMIN:NfMAX)::OMEGA_nk_Q_internal
real(dp),dimension(0:4,1:5,NfMIN:NfMAX)::OMEGA_nk_G_internal
!!! 2 beta0/Gamma0
real(dp),dimension(NfMIN:NfMAX)::pFACTOR_Q_internal
real(dp),dimension(NfMIN:NfMAX)::pFACTOR_G_internal
!!!! the orders of used perturbative expressions for AD
!!!! the values of these constants are set thorugh initialization routine
integer::orderCusp !for Cusp AD
integer::orderV !for gammaV
integer::orderD !for RAD
integer::orderDresum !for resummed RAD
integer::orderZETA !for zeta-line
public:: TMD_AD_Initialize
!public:: betaQCD,GammaCusp_q,GammaCusp_g,gammaV_q, gammaV_g,dnk_q,dnk_g,dnkl_q,dnkl_g
!public:: vnk_q,vnk_g,OMEGA_q,OMEGA_g,pFACTOR_q,pFACTOR_g
public:: zetaMUpert,gammaV,Dpert,Dresum,GammaCusp,zetaSL,RADEvolution,zFUNC
contains
!!! definitions of coefficients of primary ADs (Gamma, beta, gammaV, d)
INCLUDE 'Code/TMD_AD/AD_primary.f90'
!!! definitions of coefficients of secondary ADs (RAD, zeta-lines, resummed versions)
INCLUDE 'Code/TMD_AD/AD_secondary.f90'
!!! definitions of coefficients of secondary ADs at scale mu
INCLUDE 'Code/TMD_AD/AD_atMu.f90'
!!! Routines for the exact zeta-line
INCLUDE 'Code/TMD_AD/exactZetaLine.f90'
!!! Routines for the analytical evaluation of RGE-integrals
INCLUDE 'Code/TMD_AD/AD_Integral.f90'
subroutine TMD_AD_Initialize(oCusp,oV,oD,oDresum,oZETA)
integer,intent(in)::oCusp,oV,oD,oDresum,oZETA
real(dp)::aa
if(started) return
!setting orders
orderCusp=oCusp
orderV=oV
orderD=oD
orderDresum=oDresum
orderZETA=oZETA
!----------Primary coefficients
call SetBetaFunction()
call SetGammaCuspQuark()
call SetGammaCuspGluon()
call SetGammaVQuark()
call SetGammaVGluon()
call SetDn0Quark()
call SetDn0Gluon()
!---------Secondary coefficients
call SetDnkQuark()
call SetDnkGluon()
call SetDnklQuark()
call SetDnklGluon()
call SetVnkQuark()
call SetVnkGluon()
call SetOMEGAnkQuark()
call SetOMEGAnkGluon()
!---------Set values for integrals
call SetBetaRoots()
call SetIntegralCoefficeintsGAMMA_Q()
call SetIntegralCoefficeintsGAMMA_G()
started=.true.
end subroutine TMD_AD_Initialize
!!!-------------------------------------------------------------------------------------------------------
!!!--------------------------------------------GET INTERFACES---------------------------------------------
!!!-------------------------------------------------------------------------------------------------------
!!Coefficients of QCD beta function
pure function betaQCD(n,Nf)
real(dp)::betaQCD
integer,intent(in)::n,Nf
betaQCD=beta_internal(n,Nf)
end function betaQCD
!!Light-like cusp coefficients QUARK
pure function GammaCusp_q(n,Nf)
real(dp)::GammaCusp_q
integer,intent(in)::n,Nf
GammaCusp_q=GammaCuspQ_internal(n,Nf)
end function GammaCusp_q
!!Light-like cusp coefficients GLUON
pure function GammaCusp_g(n,Nf)
real(dp)::GammaCusp_g
integer,intent(in)::n,Nf
GammaCusp_g=GammaCuspG_internal(n,Nf)
end function GammaCusp_g
!!gammaV coefficients QUARK
pure function gammaV_q(n,Nf)
real(dp)::gammaV_q
integer,intent(in)::n,Nf
gammaV_q=GammaVQ_internal(n,Nf)
end function gammaV_q
!!gammaV coefficients GLUON
pure function gammaV_g(n,Nf)
real(dp)::gammaV_g
integer,intent(in)::n,Nf
gammaV_g=GammaVG_internal(n,Nf)
end function gammaV_g
!! RAD coefficients QUARK
pure function dnk_q(n,k,Nf)
real(dp)::dnk_q
integer,intent(in)::n,k,Nf
dnk_q=d_nk_Q_internal(n,k,Nf)
end function dnk_q
!! RAD coefficients GLUON
pure function dnk_g(n,k,Nf)
real(dp)::dnk_g
integer,intent(in)::n,k,Nf
dnk_g=d_nk_G_internal(n,k,Nf)
end function dnk_g
!! RAD coefficients resummed QUARK
pure function dnkl_q(n,k,l,Nf)
real(dp)::dnkl_q
integer,intent(in)::n,k,Nf,l
dnkl_q=d_nkl_Q_internal(n,k,l,Nf)
end function dnkl_q
!! RAD coefficients resummed GLUON
pure function dnkl_g(n,k,l,Nf)
real(dp)::dnkl_g
integer,intent(in)::n,k,Nf,l
dnkl_g=d_nkl_G_internal(n,k,l,Nf)
end function dnkl_g
!! RAD coefficients QUARK
pure function vnk_q(n,k,Nf)
real(dp)::vnk_q
integer,intent(in)::n,k,Nf
vnk_q=v_nk_Q_internal(n,k,Nf)
end function vnk_q
!! RAD coefficients GLUON
pure function vnk_g(n,k,Nf)
real(dp)::vnk_g
integer,intent(in)::n,k,Nf
vnk_g=v_nk_G_internal(n,k,Nf)
end function vnk_g
!! RAD resummed coefficients QUARK
pure function OMEGA_q(n,k,Nf)
real(dp)::OMEGA_q
integer,intent(in)::n,k,Nf
OMEGA_q=OMEGA_nk_Q_internal(n,k,Nf)
end function OMEGA_q
!! RAD resummed coefficients GLUON
pure function OMEGA_g(n,k,Nf)
real(dp)::OMEGA_g
integer,intent(in)::n,k,Nf
OMEGA_g=OMEGA_nk_G_internal(n,k,Nf)
end function OMEGA_g
!! coefficeint for p QUARK
pure function pFACTOR_q(Nf)
real(dp)::pFACTOR_q
integer,intent(in)::Nf
pFACTOR_q=pFACTOR_Q_internal(Nf)
end function pFACTOR_q
!! coefficeint for p GLUON
pure function pFACTOR_g(Nf)
real(dp)::pFACTOR_g
integer,intent(in)::Nf
pFACTOR_g=pFACTOR_G_internal(Nf)
end function pFACTOR_g
end module TMD_AD
| 8,402 | 30.354478 | 106 | f90 |
artemide-public | artemide-public-master/src/TMDs.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 2.0
!
! Evaluation of the TMDs
!
! if you use this module please, quote 1706.01473
!
! ver 1.0: release (AV, 10.05.2017)
! ver 1.4: release (AV, 23.12.2018)
! ver 1.41:release (AV, 23.12.2018)
! ver 2.00:release (AV, 29.03.2019)
! ver 2.01:release (AV, 08.06.2019)
! ver 2.05:release (AV, 22.05.2020)
!
! A.Vladimirov (23.12.2018)
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module TMDs
use aTMDe_Numerics
use IO_functions
use QCDinput
use TMDR
use uTMDPDF
use uTMDFF
use lpTMDPDF
use SiversTMDPDF
use wgtTMDPDF
implicit none
private
! public
character (len=7),parameter :: moduleName="TMDs"
character (len=5),parameter :: version="v2.06"
!Last appropriate verion of constants-file
integer,parameter::inputver=19
!------------------------------------------Physical and mathematical constants------------------------------------------
!------------------------------------------Working variables------------------------------------------------------------
logical::started=.false.
integer::outputLevel=2
integer::messageTrigger=5
!!!! The TMD evolution can be tritted differently
integer::EvolutionType
logical::include_uTMDPDF
logical::include_uTMDFF
logical::include_lpTMDPDF
logical::include_SiversTMDPDF
logical::include_wgtTMDPDF
!!!parameters for the uncertanty estimation
real(dp)::c1_global,c3_global
!-----------------------------------------Public interface--------------------------------------------------------------
public::TMDs_SetScaleVariations,TMDs_Initialize,TMDs_IsInitialized
real(dp),dimension(-5:5),public:: uTMDPDF_5,uTMDPDF_50
real(dp),dimension(-5:5),public:: uTMDFF_5,uTMDFF_50
real(dp),dimension(-5:5),public:: lpTMDPDF_50
real(dp),dimension(-5:5),public:: SiversTMDPDF_5,SiversTMDPDF_50
real(dp),dimension(-5:5),public:: wgtTMDPDF_5,wgtTMDPDF_50
public::uPDF_uPDF,uPDF_anti_uPDF
interface uTMDPDF_5
module procedure uTMDPDF_5_Ev,uTMDPDF_5_optimal
end interface
interface uTMDPDF_50
module procedure uTMDPDF_50_Ev,uTMDPDF_50_optimal
end interface
interface uTMDFF_5
module procedure uTMDFF_5_Ev,uTMDFF_5_optimal
end interface
interface uTMDFF_50
module procedure uTMDFF_50_Ev,uTMDFF_50_optimal
end interface
interface lpTMDPDF_50
module procedure lpTMDPDF_50_Ev,lpTMDPDF_50_optimal
end interface
interface SiversTMDPDF_5
module procedure SiversTMDPDF_5_Ev,SiversTMDPDF_5_optimal
end interface
interface SiversTMDPDF_50
module procedure SiversTMDPDF_50_Ev,SiversTMDPDF_50_optimal
end interface
interface wgtTMDPDF_5
module procedure wgtTMDPDF_5_Ev,wgtTMDPDF_5_optimal
end interface
interface wgtTMDPDF_50
module procedure wgtTMDPDF_50_Ev,wgtTMDPDF_50_optimal
end interface
contains
INCLUDE 'Model/TMDs_model.f90'
INCLUDE 'Code/TMDs/TMD-calls.f90'
function TMDs_IsInitialized()
logical::TMDs_IsInitialized
TMDs_IsInitialized=started
end function TMDs_IsInitialized
!!! Initializing routing
!!! Filles the prebuiled arrays
!!! orderAD, is order of anomalous dimension for evolution
!!!! order zeta is the order of pertrubative zeta expression, used only in the "universal TMD"
subroutine TMDs_Initialize(file,prefix)
character(len=*)::file
character(len=*),optional::prefix
character(len=300)::path,line
logical::initRequired
integer::FILEver
if(started) return
if(present(prefix)) then
path=trim(adjustl(prefix))//trim(adjustr(file))
else
path=trim(adjustr(file))
end if
OPEN(UNIT=51, FILE=path, ACTION="read", STATUS="old")
!!! Search for output level
call MoveTO(51,'*0 ')
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) FILEver
if(FILEver<inputver) then
write(*,*) 'artemide.'//trim(moduleName)//': const-file version is too old.'
write(*,*) ' Update the const-file with artemide.setup'
write(*,*) ' '
stop
end if
call MoveTO(51,'*p2 ')
read(51,*) outputLevel
if(outputLevel>2) write(*,*) '--------------------------------------------- '
if(outputLevel>2) write(*,*) 'artemide.',moduleName,version,': initialization started ... '
call MoveTO(51,'*p3 ')
read(51,*) messageTrigger
call MoveTO(51,'*6 ')
call MoveTO(51,'*p1 ')
read(51,*) initRequired
if(.not.initRequired) then
if(outputLevel>2) write(*,*)'artemide.',moduleName,': initialization is not required. '
started=.false.
return
end if
CLOSE (51, STATUS='KEEP')
!!! then we read it again from the beginning to fill parameters of other modules
OPEN(UNIT=51, FILE=path, ACTION="read", STATUS="old")
!! TMDR
call MoveTO(51,'*3 ')
call MoveTO(51,'*A ')
call MoveTO(51,'*p2 ')
read(51,*) EvolutionType
if(outputLevel>2) write(*,'(A,I3)') ' Evolution type =',EvolutionType
!! uTMDPDF
call MoveTO(51,'*4 ')
call MoveTO(51,'*p1 ')
read(51,*) include_uTMDPDF
!! uTMDFF
call MoveTO(51,'*5 ')
call MoveTO(51,'*p1 ')
read(51,*) include_uTMDFF
!! lpTMDPDF
call MoveTO(51,'*11 ')
call MoveTO(51,'*p1 ')
read(51,*) include_lpTMDPDF
!! SiversTMDPDF
call MoveTO(51,'*12 ')
call MoveTO(51,'*p1 ')
read(51,*) include_SiversTMDPDF
!! wgtTMDPDF
call MoveTO(51,'*13 ')
call MoveTO(51,'*p1 ')
read(51,*) include_wgtTMDPDF
CLOSE (51, STATUS='KEEP')
if(.not.QCDinput_IsInitialized()) then
if(outputLevel>1) write(*,*) '.. initializing QCDinput (from ',moduleName,')'
if(present(prefix)) then
call QCDinput_Initialize(file,prefix)
else
call QCDinput_Initialize(file)
end if
end if
if(.not.TMDR_IsInitialized()) then
if(outputLevel>1) write(*,*) '.. initializing TMDR (from ',moduleName,')'
if(present(prefix)) then
call TMDR_Initialize(file,prefix)
else
call TMDR_Initialize(file)
end if
end if
if(include_uTMDPDF .and. (.not.uTMDPDF_IsInitialized())) then
if(outputLevel>1) write(*,*) '.. initializing uTMDPDF (from ',moduleName,')'
if(present(prefix)) then
call uTMDPDF_Initialize(file,prefix)
else
call uTMDPDF_Initialize(file)
end if
end if
if(include_uTMDFF .and. (.not.uTMDFF_IsInitialized())) then
if(outputLevel>1) write(*,*) '.. initializing uTMDFF (from ',moduleName,')'
if(present(prefix)) then
call uTMDFF_Initialize(file,prefix)
else
call uTMDFF_Initialize(file)
end if
end if
if(include_lpTMDPDF .and. (.not.lpTMDPDF_IsInitialized())) then
if(outputLevel>1) write(*,*) '.. initializing lpTMDPDF (from ',moduleName,')'
if(present(prefix)) then
call lpTMDPDF_Initialize(file,prefix)
else
call lpTMDPDF_Initialize(file)
end if
end if
if(include_SiversTMDPDF .and. (.not.SiversTMDPDF_IsInitialized())) then
if(outputLevel>1) write(*,*) '.. initializing SiversTMDPDF (from ',moduleName,')'
if(present(prefix)) then
call SiversTMDPDF_Initialize(file,prefix)
else
call SiversTMDPDF_Initialize(file)
end if
end if
if(include_wgtTMDPDF .and. (.not.wgtTMDPDF_IsInitialized())) then
if(outputLevel>1) write(*,*) '.. initializing wgtTMDPDF (from ',moduleName,')'
if(present(prefix)) then
call wgtTMDPDF_Initialize(file,prefix)
else
call wgtTMDPDF_Initialize(file)
end if
end if
c1_global=1d0
c3_global=1d0
started=.true.
if(outputLevel>0) write(*,*) color('----- arTeMiDe.TMDs '//trim(version)//': .... initialized',c_green)
if(outputLevel>1) write(*,*)
end subroutine TMDs_Initialize
!!!! this routine set the variations of scales
!!!! it is used for the estimation of errors
subroutine TMDs_SetScaleVariations(c1_in,c3_in)
real(dp),intent(in)::c1_in,c3_in
If(EvolutionType==1) then
if(c1_in<0.1d0 .or. c1_in>10.d0) then
if(outputLevel>0) write(*,*) WarningString('variation in c1 is enourmous. c1 is set to 2',moduleName)
c1_global=2d0
else
c1_global=c1_in
end if
else
if(ABS(c1_in-1d0)>0.00001d0) then
if(outputLevel>0) write(*,*) WarningString('variation of c1 is sensless. &
There is no such constant within current evolution scheme. Nothing is done',moduleName)
end if
end if
if(EvolutionType==3) then
if(ABS(c3_in-1d0)>0.00001d0) then
if(outputLevel>0) write(*,*) WarningString("variation of c3 is sensless. &
There is no such constant within current evolution scheme. Nothing is done",moduleName)
end if
else
if(c3_in<0.1d0 .or. c3_in>10.d0) then
if(outputLevel>0) write(*,*) WarningString('variation in c3 is enourmous. c3 is set to 2',moduleName)
c3_global=2d0
else
c3_global=c3_in
end if
end if
if(outputLevel>1) write(*,*) 'TMDs: set scale variations constants (c1,c3) as:',c1_global,c3_global
end subroutine TMDs_SetScaleVariations
end module TMDs
| 9,341 | 29.331169 | 120 | f90 |
artemide-public | artemide-public-master/src/TMDs_inKT.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 1.4
!
! Evaluation of the TMDs in KT space
!
! if you use this module please, quote 1902.08474
!
! ver 1.0: release (AV, 23.12.2018)
! ver 2.00: release (AV, 29.03.2019)
!
! A.Vladimirov (23.12.2018)
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module TMDs_inKT
use aTMDe_Numerics
use IO_functions
use TMDs
implicit none
private
character (len=10),parameter :: moduleName="TMDs-inKT"
character (len=5),parameter :: version="v2.06"
!Last appropriate verion of constants-file
integer,parameter::inputver=1
!------------------------------------------Tables-----------------------------------------------------------------------
integer,parameter::Nmax=1000
INCLUDE 'Tables/BesselZero1000.f90'
logical:: convergenceLost=.false.
!!!!! I split the qT over runs qT<qTSegmentationBoundary
!!!!! In each segment I have the ogata quadrature with h=hOGATA*hSegmentationWeight
!!!!! It helps to convergen integrals, since h(optimal) ~ qT
integer,parameter::hSegmentationNumber=7
real(dp),dimension(1:hSegmentationNumber),parameter::hSegmentationWeight=(/0.0001d0,0.001d0,0.01d0,1d0,2d0,5d0,10d0/)
real(dp),dimension(1:hSegmentationNumber),parameter::qTSegmentationBoundary=(/0.001d0,0.01d0,0.1d0,10d0,50d0,100d0,200d0/)
real(dp)::hOGATA,tolerance
!!!weights of ogata quadrature
real(dp),dimension(1:hSegmentationNumber,0:3,1:Nmax)::ww,ww0
!!!nodes of ogata quadrature
real(dp),dimension(1:hSegmentationNumber,0:3,1:Nmax)::bb,bb0
integer::GlobalCounter
integer::CallCounter
integer::MaxCounter
integer::messageCounter
!------------------------------------------Physical and mathematical constants------------------------------------------
!------------------------------------------Working variables------------------------------------------------------------
logical::started=.false.
integer::outputLevel=2
integer::messageTrigger=5
public::TMDs_inKT_Initialize,TMDs_inKT_ShowStatistic,TMDs_inKT_IsInitialized,TMDs_inKT_ResetCounters
real(dp),dimension(-5:5),public::uTMDPDF_kT_50,uTMDPDF_kT_5,uTMDFF_kT_5,uTMDFF_kT_50,lpTMDPDF_kT_50,&
SiversTMDPDF_kT_5,SiversTMDPDF_kT_50,wgtTMDPDF_kT_5,wgtTMDPDF_kT_50
public::testTMD_kT
interface uTMDPDF_kT_5
module procedure uTMDPDF_kT_5_Ev,uTMDPDF_kT_5_optimal
end interface
interface uTMDPDF_kT_50
module procedure uTMDPDF_kT_50_Ev,uTMDPDF_kT_50_optimal
end interface
interface uTMDFF_kT_5
module procedure uTMDFF_kT_5_Ev,uTMDFF_kT_5_optimal
end interface
interface uTMDFF_kT_50
module procedure uTMDFF_kT_50_Ev,uTMDFF_kT_50_optimal
end interface
interface lpTMDPDF_kT_50
module procedure lpTMDPDF_kT_50_Ev,lpTMDPDF_kT_50_optimal
end interface
interface SiversTMDPDF_kT_5
module procedure SiversTMDPDF_kT_5_Ev,SiversTMDPDF_kT_5_optimal
end interface
interface SiversTMDPDF_kT_50
module procedure SiversTMDPDF_kT_50_Ev,SiversTMDPDF_kT_50_optimal
end interface
interface wgtTMDPDF_kT_5
module procedure wgtTMDPDF_kT_5_Ev,wgtTMDPDF_kT_5_optimal
end interface
interface wgtTMDPDF_kT_50
module procedure wgtTMDPDF_kT_50_Ev,wgtTMDPDF_kT_50_optimal
end interface
contains
function TMDs_inKT_IsInitialized()
logical::TMDs_inKT_IsInitialized
TMDs_inKT_IsInitialized=started
end function TMDs_inKT_IsInitialized
!! Initialization of the package
subroutine TMDs_inKT_Initialize(file,prefix)
character(len=*)::file
character(len=*),optional::prefix
character(len=300)::path,line
logical::initRequired
integer::FILEver
if(started) return
if(present(prefix)) then
path=trim(adjustl(prefix))//trim(adjustr(file))
else
path=trim(adjustr(file))
end if
OPEN(UNIT=51, FILE=path, ACTION="read", STATUS="old")
!!! Search for output level
call MoveTO(51,'*0 ')
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) FILEver
if(FILEver<inputver) then
write(*,*) 'artemide.'//trim(moduleName)//': const-file version is too old.'
write(*,*) ' Update the const-file with artemide.setup'
write(*,*) ' '
stop
end if
call MoveTO(51,'*p2 ')
read(51,*) outputLevel
if(outputLevel>2) write(*,*) '--------------------------------------------- '
if(outputLevel>2) write(*,*) 'artemide.',moduleName,version,': initialization started ... '
call MoveTO(51,'*p3 ')
read(51,*) messageTrigger
call MoveTO(51,'*8 ')
call MoveTO(51,'*p1 ')
read(51,*) initRequired
if(.not.initRequired) then
if(outputLevel>2) write(*,*)'artemide.',moduleName,': initialization is not required. '
started=.false.
return
end if
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) tolerance
call MoveTO(51,'*p2 ')
read(51,*) hOGATA
if(outputLevel>2) write(*,'(A,ES8.2)') ' | h for Ogata quadrature : ',hOGATA
if(outputLevel>2) write(*,'(A,ES8.2)') ' | tolerance : ',tolerance
CLOSE (51, STATUS='KEEP')
if(outputLevel>1) write(*,*) 'arTeMiDe.TMDs-inKT: preparing Ogata tables'
call PrepareTables()
if(outputLevel>2) write(*,'(A,I4)') ' | Maximum number of nodes :',Nmax
if(outputLevel>1) write(*,*) 'arTeMiDe.TMDs-inKT: Ogata tables prepared'
GlobalCounter=0
CallCounter=0
MaxCounter=0
convergenceLost=.false.
if(.not.TMDs_IsInitialized()) then
if(outputLevel>1) write(*,*) '.. initializing TMDs (from ',moduleName,')'
if(present(prefix)) then
call TMDs_Initialize(file,prefix)
else
call TMDs_Initialize(file)
end if
end if
started=.true.
if(outputLevel>0) write(*,*) color('----- arTeMiDe.TMDs-inKT '//trim(version)//': .... initialized',c_green)
if(outputLevel>1) write(*,*) ' '
end subroutine TMDs_inKT_Initialize
subroutine TMDs_inKT_ResetCounters()
convergenceLost=.false.
GlobalCounter=0
CallCounter=0
MaxCounter=0
end subroutine TMDs_inKT_ResetCounters
!!!!!!!Functions which carry the trigger on convergences.... Its used in xSec, and probably in other places.
function TMDs_inKT_IsconvergenceLost()
logical::TMDs_inKT_IsconvergenceLost
TMDs_inKT_IsconvergenceLost=convergenceLost
end function TMDs_inKT_IsconvergenceLost
subroutine TMDs_inKT_convergenceISlost()
convergenceLost=.true.
if(outputLevel>1) write(*,*) WarningString('convergence is lost. Counters reset.',moduleName)
call TMDs_inKT_ResetCounters()
end subroutine TMDs_inKT_convergenceISlost
subroutine TMDs_inKT_ShowStatistic()
if(convergenceLost) then
write(*,*) ' TMDs-in-kT statistics: convergence has been lost.'
else
write(*,'(A,ES12.3)') 'TMDs-in-kT statistics total calls of TMDs : ',Real(2*GlobalCounter)
write(*,'(A,ES12.3)') ' total calls of TMD_F : ',Real(CallCounter)
write(*,'(A,F12.3)') ' avarage M : ',Real(GlobalCounter)/Real(CallCounter)
write(*,'(A,I12)') ' maximum calls : ',MaxCounter
end if
end subroutine TMDs_inKT_ShowStatistic
!!!Prepare tables for Ogata quadrature with given h
!!! note that the factor 1/(2pi) is taken into ww
!!! the difference between definition in TMDF and here is 1/pi
subroutine PrepareTables()
integer::i,k,j
real(dp)::hS!=h*hSegmentationWeight
real(dp)::xi,qqq
do j=1,hSegmentationNumber
do k=0,3
do i=1,Nmax
hS=hOGATA*hSegmentationWeight(j)
xi=JZero(k,i)
! ww(j,k,i)=BESSEL_JN(k,bb(j,k,i))/xi/(BESSEL_JN(k+1,xi)**2)&
! *(pi*xi*hS*Cosh(xi*hS)+Sinh(pi*Sinh(xi*hS)))/(1d0+Cosh(pi*Sinh(xi*hS)))
!!! if we too far away in xI*hS, the double exponential grow rapidly.
!!! and for >6, it generates term 10^{300} and exceed the presision
if(xi*hS>6.d0) then
bb(j,k,i)=xi*Tanh(piHalf*Sinh(xi*hS))
ww(j,k,i)=BESSEL_JN(k,bb(j,k,i))/xi/(BESSEL_JN(k+1,xi)**2)/pi
else
bb(j,k,i)=xi*Tanh(piHalf*Sinh(xi*hS))
ww(j,k,i)=BESSEL_JN(k,bb(j,k,i))/xi/(BESSEL_JN(k+1,xi)**2)&
*(pi*xi*hS*Cosh(xi*hS)/(2d0*Cosh(piHalf*Sinh(xi*hS))**2)+Tanh(piHalf*Sinh(xi*hS)))/pi
end if
end do
end do
end do
end subroutine PrepareTables
!--------------------------------------INTERFACES TO TMD------------------------------------------------
function testTMD_kT(x,qT)
real(dp)::testTMD_kT(-5:5)
real(dp)::x,qT
testTMD_kT=Fourier(x,qT,10d0,10d0,0,1)
end function testTMD_kT
!---------------------------------------------------uTMDPDF
function uTMDPDF_kT_5_Ev(x,qT,mu,zeta,hadron)
real(dp)::uTMDPDF_kT_5_Ev(-5:5)
real(dp)::x,qT,mu,zeta
integer::hadron
uTMDPDF_kT_5_Ev=Fourier(x,qT,mu,zeta,1,hadron)
end function uTMDPDF_kT_5_Ev
function uTMDPDF_kT_50_Ev(x,qT,mu,zeta,hadron)
real(dp)::uTMDPDF_kT_50_Ev(-5:5)
real(dp)::x,qT,mu,zeta
integer::hadron
uTMDPDF_kT_50_Ev=Fourier(x,qT,mu,zeta,2,hadron)
end function uTMDPDF_kT_50_Ev
function uTMDPDF_kT_5_optimal(x,qT,hadron)
real(dp)::uTMDPDF_kT_5_optimal(-5:5)
real(dp)::x,qT
integer::hadron
uTMDPDF_kT_5_optimal=Fourier(x,qT,10d0,10d0,3,hadron)
end function uTMDPDF_kT_5_optimal
function uTMDPDF_kT_50_optimal(x,qT,hadron)
real(dp)::uTMDPDF_kT_50_optimal(-5:5)
real(dp)::x,qT
integer::hadron
uTMDPDF_kT_50_optimal=Fourier(x,qT,10d0,10d0,4,hadron)
end function uTMDPDF_kT_50_optimal
!---------------------------------------------------uTMDFF
function uTMDFF_kT_5_Ev(x,qT,mu,zeta,hadron)
real(dp)::uTMDFF_kT_5_Ev(-5:5)
real(dp)::x,qT,mu,zeta
integer::hadron
uTMDFF_kT_5_Ev=Fourier(x,qT,mu,zeta,5,hadron)
end function uTMDFF_kT_5_Ev
function uTMDFF_kT_50_Ev(x,qT,mu,zeta,hadron)
real(dp)::uTMDFF_kT_50_Ev(-5:5)
real(dp)::x,qT,mu,zeta
integer::hadron
uTMDFF_kT_50_Ev=Fourier(x,qT,mu,zeta,6,hadron)
end function uTMDFF_kT_50_Ev
function uTMDFF_kT_5_optimal(x,qT,hadron)
real(dp)::uTMDFF_kT_5_optimal(-5:5)
real(dp)::x,qT
integer::hadron
uTMDFF_kT_5_optimal=Fourier(x,qT,10d0,10d0,7,hadron)
end function uTMDFF_kT_5_optimal
function uTMDFF_kT_50_optimal(x,qT,hadron)
real(dp)::uTMDFF_kT_50_optimal(-5:5)
real(dp)::x,qT
integer::hadron
uTMDFF_kT_50_optimal=Fourier(x,qT,10d0,10d0,8,hadron)
end function uTMDFF_kT_50_optimal
!---------------------------------------------------lpTMDPDF
function lpTMDPDF_kT_50_Ev(x,qT,mu,zeta,hadron)
real(dp)::lpTMDPDF_kT_50_Ev(-5:5)
real(dp)::x,qT,mu,zeta
integer::hadron
lpTMDPDF_kT_50_Ev=Fourier(x,qT,mu,zeta,9,hadron)
end function lpTMDPDF_kT_50_Ev
function lpTMDPDF_kT_50_optimal(x,qT,hadron)
real(dp)::lpTMDPDF_kT_50_optimal(-5:5)
real(dp)::x,qT
integer::hadron
lpTMDPDF_kT_50_optimal=Fourier(x,qT,10d0,10d0,10,hadron)
end function lpTMDPDF_kT_50_optimal
!---------------------------------------------------SiversTMDPDF
function SiversTMDPDF_kT_5_Ev(x,qT,mu,zeta,hadron)
real(dp)::SiversTMDPDF_kT_5_Ev(-5:5)
real(dp)::x,qT,mu,zeta
integer::hadron
SiversTMDPDF_kT_5_Ev=Fourier(x,qT,mu,zeta,11,hadron)
end function SiversTMDPDF_kT_5_Ev
function SiversTMDPDF_kT_50_Ev(x,qT,mu,zeta,hadron)
real(dp)::SiversTMDPDF_kT_50_Ev(-5:5)
real(dp)::x,qT,mu,zeta
integer::hadron
SiversTMDPDF_kT_50_Ev=Fourier(x,qT,mu,zeta,12,hadron)
end function SiversTMDPDF_kT_50_Ev
function SiversTMDPDF_kT_5_optimal(x,qT,hadron)
real(dp)::SiversTMDPDF_kT_5_optimal(-5:5)
real(dp)::x,qT
integer::hadron
SiversTMDPDF_kT_5_optimal=Fourier(x,qT,10d0,10d0,13,hadron)
end function SiversTMDPDF_kT_5_optimal
function SiversTMDPDF_kT_50_optimal(x,qT,hadron)
real(dp)::SiversTMDPDF_kT_50_optimal(-5:5)
real(dp)::x,qT
integer::hadron
SiversTMDPDF_kT_50_optimal=Fourier(x,qT,10d0,10d0,14,hadron)
end function SiversTMDPDF_kT_50_optimal
!---------------------------------------------------wgtTMDPDF
function wgtTMDPDF_kT_5_Ev(x,qT,mu,zeta,hadron)
real(dp)::wgtTMDPDF_kT_5_Ev(-5:5)
real(dp)::x,qT,mu,zeta
integer::hadron
wgtTMDPDF_kT_5_Ev=Fourier(x,qT,mu,zeta,15,hadron)
end function wgtTMDPDF_kT_5_Ev
function wgtTMDPDF_kT_50_Ev(x,qT,mu,zeta,hadron)
real(dp)::wgtTMDPDF_kT_50_Ev(-5:5)
real(dp)::x,qT,mu,zeta
integer::hadron
wgtTMDPDF_kT_50_Ev=Fourier(x,qT,mu,zeta,16,hadron)
end function wgtTMDPDF_kT_50_Ev
function wgtTMDPDF_kT_5_optimal(x,qT,hadron)
real(dp)::wgtTMDPDF_kT_5_optimal(-5:5)
real(dp)::x,qT
integer::hadron
wgtTMDPDF_kT_5_optimal=Fourier(x,qT,10d0,10d0,17,hadron)
end function wgtTMDPDF_kT_5_optimal
function wgtTMDPDF_kT_50_optimal(x,qT,hadron)
real(dp)::wgtTMDPDF_kT_50_optimal(-5:5)
real(dp)::x,qT
integer::hadron
wgtTMDPDF_kT_50_optimal=Fourier(x,qT,10d0,10d0,18,hadron)
end function wgtTMDPDF_kT_50_optimal
!------------------------------------------FOURIER--------------------------------
!!!This is the defining module function
!!! It evaluates the integral
!!! int_0^infty b db/2pi J0(b qT) F1
!!! The function F1 is given via number.. num
function Fourier(x,qT_in,mu,zeta,num,hadron)
real(dp)::qT,x,mu,zeta,qT_in
integer::num,hadron
real(dp)::integral(-5:5),eps(-5:5)
real(dp)::v1(-5:5),v2(-5:5),v3(-5:5),v4(-5:5),delta(-5:5)
logical:: partDone(-5:5)
integer::k,n,j,Nsegment
real(dp)::Fourier(-5:5)
CallCounter=CallCounter+1
integral=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
if(qT_in<0.0001d0) then
qT=0.0001d0
else
qT=qT_in
end if
!!!in the case of lost convergence we return huge number (divergent xSec)
if(TMDs_inKT_IsconvergenceLost()) then
Fourier=integral+1d10
else
v1=(/1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0/)
v2=(/1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0/)
v3=(/1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0/)
v4=(/1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0/)
partDone=(/.false.,.false.,.false.,.false.,.false.,.false.,.false.,.false.,.false.,.false.,.false./)
!!! define segment of qT
do j=1,hSegmentationNumber
if(qT<qTSegmentationBoundary(j)) exit
end do
if(j>hSegmentationNumber) then
Nsegment=hSegmentationNumber
else
Nsegment=j
end if
!!!! select the order of Bessel function for transform
SELECT CASE(num)
CASE(9,10)
n=2
CASE(11,12,13,14,15,16,17,18)
n=1
CASE DEFAULT
n=0
END SELECT
do k=1,Nmax!!! maximum of number of bessel roots preevaluated in the head
eps=ww(Nsegment,n,k)*(bb(Nsegment,n,k)**(n+1))*Integrand(bb(Nsegment,n,k)/qT,x,mu,zeta,num,hadron)
v4=v3
v3=v2
v2=v1
v1=abs(eps)
delta=(v1+v2+v3+v4)
integral=integral+eps
!!! here we check that residual term is smaller than already collected integral
!!! also checking the zerothness of the integral. If already collected integral is null it is null
!!! Here is potential bug. If the first 10 points give zero (whereas some later points do not), the integral will be zero
!!! I check for each separate flavor
do j=-5,5
if((delta(j)<tolerance*ABS(integral(j)) .or. ABS(integral(j))<1d-32) .and. k>=10) partDone(j)=.true.
end do
if(partDone(-5).and.partDone(-4).and.partDone(-3).and.partDone(-2).and.partDone(-1)&
.and.partDone(0).and.partDone(1).and.partDone(2).and.partDone(3).and.partDone(4).and.partDone(5)) exit
end do
if(k>=Nmax) then
if(outputlevel>0) WRITE(*,*) WarningString('OGATA quadrature diverge. TMD decaing too slow?',moduleName)
if(outputlevel>2) then
write(*,*) 'Information over the last call ----------'
write(*,*) partDone
write(*,*) 'bt/qT= ',bb(Nsegment,n,Nmax)/qT, 'qT=',qT, '| segmentation zone=',Nsegment,&
' ogata h=',hOGATA*hSegmentationWeight(Nsegment)
write(*,*) 'W=',Integrand(bb(Nsegment,n,Nmax)/qT,x,mu,zeta,num,hadron), 'eps/integral =', eps/integral
write(*,*) 'v1+v2+v3+v4=',v1+v2+v3+v4, '>',tolerance*(ABS(integral(1))+ABS(integral(2)))
write(*,*) 'x=',x,'type =',num,' it is ',CallCounter,'call.'
write(*,*) '------------------------------------------'
end if
call TMDs_inKT_convergenceISlost()
end if
if(k>MaxCounter) MaxCounter=k-1
! write(*,*) 'Integral=',integral
Fourier=integral/(qT**(n+2))
end if
!write(*,*) 'Last call: ',k
end function Fourier
function Integrand(b,x,mu,zeta,num,hadron)
real(dp)::b,x,mu,zeta
integer::num,hadron
real(dp)::Integrand(-5:5)
!increment counter
GlobalCounter=GlobalCounter+1
SELECT CASE(num)
CASE(0) !!! test case
Integrand=(/(b**3d0)*Exp(-x*b),(b**2d0)*Exp(-x*b),b*Exp(-x*b),Exp(-x*b),&
1d0/(b**2+x**2d0)**4d0,1d0/(b**2+x**2d0)**2d0,1d0/(b**2+x**2d0),&
(b**2d0)*Exp(-x*b*b),Exp(-x*b*b), BESSEL_J0(x/b)/b,1d0/b/)
CASE(1) !!! uTMDPDF quarks
Integrand=uTMDPDF_5(x,b,mu,zeta,hadron)
Integrand(0)=0d0
CASE(2) !!! uTMDPDF quarks+gluon
Integrand=uTMDPDF_50(x,b,mu,zeta,hadron)
CASE(3) !!! uTMDPDF quarks OPTIMAL
Integrand=uTMDPDF_5(x,b,hadron)
Integrand(0)=0d0
CASE(4) !!! uTMDPDF quarks+gluon OPTIMAL
Integrand=uTMDPDF_50(x,b,hadron)
CASE(5) !!! uTMDFF quarks
Integrand=uTMDFF_5(x,b,mu,zeta,hadron)
Integrand(0)=0d0
CASE(6) !!! uTMDFF quarks+gluon
Integrand=uTMDFF_50(x,b,mu,zeta,hadron)
CASE(7) !!! uTMDFF quarks OPTIMAL
Integrand=uTMDFF_5(x,b,hadron)
Integrand(0)=0d0
CASE(8) !!! uTMDFF quarks+gluon OPTIMAL
Integrand=uTMDFF_50(x,b,hadron)
CASE(9) !!! lin.pol.gluon TMDPDF
!!! minus is due to definition (see manual)
Integrand=-lpTMDPDF_50(x,b,mu,zeta,hadron)
CASE(10) !!! lim.pol.gluon TMDPDF OPTIMAL
!!! minus is due to definition (see manual)
Integrand=-lpTMDPDF_50(x,b,hadron)
CASE(11) !!! SiversTMDPDF quarks
Integrand=SiversTMDPDF_5(x,b,mu,zeta,hadron)
Integrand(0)=0d0
CASE(12) !!! SiversuTMDPDF quarks+gluon
Integrand=SiversTMDPDF_50(x,b,mu,zeta,hadron)
CASE(13) !!! SiversTMDPDF quarks OPTIMAL
Integrand=SiversTMDPDF_5(x,b,hadron)
Integrand(0)=0d0
CASE(14) !!! SiversTMDPDF quarks+gluon OPTIMAL
Integrand=SiversTMDPDF_50(x,b,hadron)
CASE(15) !!! wgtTMDPDF quarks
Integrand=wgtTMDPDF_5(x,b,mu,zeta,hadron)
Integrand(0)=0d0
CASE(16) !!! SiversuTMDPDF quarks+gluon
Integrand=wgtTMDPDF_50(x,b,mu,zeta,hadron)
CASE(17) !!! wgtTMDPDF quarks OPTIMAL
Integrand=wgtTMDPDF_5(x,b,hadron)
Integrand(0)=0d0
CASE(18) !!! wgtTMDPDF quarks+gluon OPTIMAL
Integrand=wgtTMDPDF_50(x,b,hadron)
CASE DEFAULT
write(*,*) ErrorString('undefined TMD: ',moduleName)
write(*,*) color('Evaluation stop',c_red_bold)
stop
END SELECT
end function Integrand
!-------------------------------------------------functions for uTMDPDF---------------------------------------
end module TMDs_inKT
| 19,670 | 32.454082 | 129 | f90 |
artemide-public | artemide-public-master/src/aTMDe_control.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe-control 2.0
!
! Module that control the flow of artemide package.
! Initialize and reset submodules
!
! if you use this module please, quote 1803.11089
!
! A.Vladimirov (30.05.2019)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module aTMDe_control
use aTMDe_Numerics
use IO_functions
use QCDinput
use EWinput
use uTMDPDF
use lpTMDPDF
use SiversTMDPDF
use wgtTMDPDF
use uTMDFF
use TMDR
use TMDs
use TMDF
use TMDX_DY
use TMDX_SIDIS
use TMDs_inKT
use aTMDe_Setup
implicit none
private
character (len=14),parameter :: moduleName="aTMDe-control"
character (len=5),parameter :: version="v2.06"
!Last appropriate verion of constants-file
integer,parameter::inputver=11
character (len=15),parameter :: constNAME="aTMDe-temporary"
integer::outputLevel=2
integer::messageTrigger=5
!!!! indicator of the aTMDe_control intialization
logical::isStarted=.false.
!!!! indicators of modules usage
logical::include_EWinput,include_uTMDPDF,include_uTMDFF,include_TMDR,include_TMDs,include_TMDF
logical::include_lpTMDPDF,include_SiversTMDPDF,include_wgtTMDPDF
logical::include_TMDX_DY,include_TMDX_SIDIS,include_TMDs_inKT
!!!! legths of non-perturbative arrays
integer::NPlength_total
integer::NPlength_TMDR,NPlength_uTMDPDF,NPlength_uTMDFF,NPlength_lpTMDPDF,NPlength_SiversTMDPDF,NPlength_wgtTMDPDF
!!!! non-pertrubative parameters for individual modules
real(dp),allocatable::lambdaNP_TMDR(:),lambdaNP_uTMDPDF(:),lambdaNP_uTMDFF(:),lambdaNP_lpTMDPDF(:),&
lambdaNP_SiversTMDPDF(:),lambdaNP_wgtTMDPDF(:)
!!!! Saved values of scale-variation parameters
real(dp)::c1_saved,c2_saved,c3_saved,c4_saved
public::artemide_Initialize
public::artemide_SetNPparameters,artemide_SetNPparameters_TMDR,artemide_SetNPparameters_uTMDFF,artemide_SetNPparameters_uTMDPDF
public::artemide_SetNPparameters_lpTMDPDF,artemide_SetNPparameters_SiversTMDPDF,artemide_SetNPparameters_wgtTMDPDF
public::artemide_SetReplica_TMDR,artemide_SetReplica_uTMDFF,artemide_SetReplica_uTMDPDF
public::artemide_SetReplica_lpTMDPDF,artemide_SetReplica_SiversTMDPDF,artemide_SetReplica_wgtTMDPDF
public::artemide_SetScaleVariations
public::artemide_ShowStatistics
public::artemide_GetReplicaFromFile,artemide_NumOfReplicasInFile
contains
!! Module that creates the constants-file,
!! and the read it
!! intialize it-self and artemide modules
subroutine artemide_Initialize(file,prefix,order)
character(len=*)::file
character(len=*),optional::prefix
character(len=*),optional::order
character(len=300)::path
integer::FILEver,i
logical::initilize_NParrays
!-----------------------------------------------------------
if(present(prefix).and.present(order)) then
call artemide_Setup_fromFile(file,prefix=prefix,order=order)
else if(present(prefix)) then
call artemide_Setup_fromFile(file,prefix=prefix)
else if(present(order)) then
call artemide_Setup_fromFile(file,order=order)
else
call artemide_Setup_fromFile(file)
end if
if(present(prefix)) then
call CreateConstantsFile(constNAME,prefix)
else
call CreateConstantsFile(constNAME)
end if
!-----------------------------------------------------------
if(present(prefix)) then
path=trim(adjustl(prefix))//trim(adjustr(constNAME))
else
path=trim(adjustr(constNAME))
end if
OPEN(UNIT=51, FILE=path, ACTION="read", STATUS="old")
!!! Search for output level
call MoveTO(51,'*0 ')
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) FILEver
if(FILEver<inputver) then
write(*,*) color('artemide.'//trim(moduleName)//': const-file version is too old.',c_red_bold)
write(*,*) color(' Update the const-file with artemide.setup',c_red_bold)
write(*,*) ' '
stop
end if
call MoveTO(51,'*p2 ')
read(51,*) outputLevel
if(outputLevel>2) write(*,*) '--------------------------------------------- '
if(outputLevel>2) write(*,*) 'artemide.control: initialization started ... '
call MoveTO(51,'*p3 ')
read(51,*) outputLevel
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) initilize_NParrays
call MoveTO(51,'*2 ')
call MoveTO(51,'*p1 ')
read(51,*) include_EWinput
call MoveTO(51,'*3 ')
call MoveTO(51,'*p1 ')
read(51,*) include_TMDR
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) NPlength_TMDR
!allocate lambda's and read initialization NP-array
if(include_TMDR) then
allocate(lambdaNP_TMDR(1:NPlength_TMDR))
call MoveTO(51,'*p2 ')
do i=1,NPlength_TMDR
read(51,*) lambdaNP_TMDR(i)
end do
end if
call MoveTO(51,'*4 ')
call MoveTO(51,'*p1 ')
read(51,*) include_uTMDPDF
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) NPlength_uTMDPDF
!allocate lambda's and read initialization NP-array
if(include_uTMDPDF) then
allocate(lambdaNP_uTMDPDF(1:NPlength_uTMDPDF))
call MoveTO(51,'*p2 ')
do i=1,NPlength_uTMDPDF
read(51,*) lambdaNP_uTMDPDF(i)
end do
end if
call MoveTO(51,'*5 ')
call MoveTO(51,'*p1 ')
read(51,*) include_uTMDFF
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) NPlength_uTMDFF
!allocate lambda's and read initialization NP-array
if(include_uTMDFF) then
allocate(lambdaNP_uTMDFF(1:NPlength_uTMDFF))
call MoveTO(51,'*p2 ')
do i=1,NPlength_uTMDFF
read(51,*) lambdaNP_uTMDFF(i)
end do
end if
call MoveTO(51,'*6 ')
call MoveTO(51,'*p1 ')
read(51,*) include_TMDs
call MoveTO(51,'*7 ')
call MoveTO(51,'*p1 ')
read(51,*) include_TMDF
call MoveTO(51,'*8 ')
call MoveTO(51,'*p1 ')
read(51,*) include_TMDs_inKT
call MoveTO(51,'*9 ')
call MoveTO(51,'*p1 ')
read(51,*) include_TMDX_DY
call MoveTO(51,'*10 ')
call MoveTO(51,'*p1 ')
read(51,*) include_TMDX_SIDIS
call MoveTO(51,'*11 ')
call MoveTO(51,'*p1 ')
read(51,*) include_lpTMDPDF
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) NPlength_lpTMDPDF
!allocate lambda's and read initialization NP-array
if(include_lpTMDPDF) then
allocate(lambdaNP_lpTMDPDF(1:NPlength_lpTMDPDF))
call MoveTO(51,'*p2 ')
do i=1,NPlength_lpTMDPDF
read(51,*) lambdaNP_lpTMDPDF(i)
end do
end if
call MoveTO(51,'*12 ')
call MoveTO(51,'*p1 ')
read(51,*) include_SiversTMDPDF
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) NPlength_SiversTMDPDF
!allocate lambda's and read initialization NP-array
if(include_SiversTMDPDF) then
allocate(lambdaNP_SiversTMDPDF(1:NPlength_SiversTMDPDF))
call MoveTO(51,'*p2 ')
do i=1,NPlength_SiversTMDPDF
read(51,*) lambdaNP_SiversTMDPDF(i)
end do
end if
call MoveTO(51,'*13 ')
call MoveTO(51,'*p1 ')
read(51,*) include_wgtTMDPDF
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) NPlength_wgtTMDPDF
!allocate lambda's and read initialization NP-array
if(include_wgtTMDPDF) then
allocate(lambdaNP_wgtTMDPDF(1:NPlength_wgtTMDPDF))
call MoveTO(51,'*p2 ')
do i=1,NPlength_wgtTMDPDF
read(51,*) lambdaNP_wgtTMDPDF(i)
end do
end if
CLOSE (51, STATUS='KEEP')
!-----------------------------------------------------------
if(outputLevel>2) write(*,*) 'artemide.control: initialization file is read. Initialization of modules ... '
if(present(prefix)) then
call QCDinput_Initialize(constNAME,prefix)
else
call QCDinput_Initialize(constNAME)
end if
if(include_EWinput) then
if(present(prefix)) then
call EWinput_Initialize(constNAME,prefix)
else
call EWinput_Initialize(constNAME)
end if
end if
if(include_uTMDPDF) then
if(present(prefix)) then
call uTMDPDF_Initialize(constNAME,prefix)
else
call uTMDPDF_Initialize(constNAME)
end if
end if
if(include_uTMDFF) then
if(present(prefix)) then
call uTMDFF_Initialize(constNAME,prefix)
else
call uTMDFF_Initialize(constNAME)
end if
end if
if(include_lpTMDPDF) then
if(present(prefix)) then
call lpTMDPDF_Initialize(constNAME,prefix)
else
call lpTMDPDF_Initialize(constNAME)
end if
end if
if(include_SiversTMDPDF) then
if(present(prefix)) then
call SiversTMDPDF_Initialize(constNAME,prefix)
else
call SiversTMDPDF_Initialize(constNAME)
end if
end if
if(include_wgtTMDPDF) then
if(present(prefix)) then
call wgtTMDPDF_Initialize(constNAME,prefix)
else
call wgtTMDPDF_Initialize(constNAME)
end if
end if
if(include_TMDR) then
if(present(prefix)) then
call TMDR_Initialize(constNAME,prefix)
else
call TMDR_Initialize(constNAME)
end if
end if
if(include_TMDs) then
if(present(prefix)) then
call TMDs_Initialize(constNAME,prefix)
else
call TMDs_Initialize(constNAME)
end if
end if
if(include_TMDF) then
if(present(prefix)) then
call TMDF_Initialize(constNAME,prefix)
else
call TMDF_Initialize(constNAME)
end if
end if
if(include_TMDs_inKT) then
if(present(prefix)) then
call TMDs_inKT_Initialize(constNAME,prefix)
else
call TMDs_inKT_Initialize(constNAME)
end if
end if
if(include_TMDX_DY) then
if(present(prefix)) then
call TMDX_DY_Initialize(constNAME,prefix)
else
call TMDX_DY_Initialize(constNAME)
end if
end if
if(include_TMDX_SIDIS) then
if(present(prefix)) then
call TMDX_SIDIS_Initialize(constNAME,prefix)
else
call TMDX_SIDIS_Initialize(constNAME)
end if
end if
!------------------------------------------------------
!!! calculate total NP lendth
NPlength_total=0
if(include_TMDR) NPlength_total=NPlength_total+NPlength_TMDR
if(include_uTMDPDF) NPlength_total=NPlength_total+NPlength_uTMDPDF
if(include_uTMDFF) NPlength_total=NPlength_total+NPlength_uTMDFF
if(include_lpTMDPDF) NPlength_total=NPlength_total+NPlength_lpTMDPDF
if(include_SiversTMDPDF) NPlength_total=NPlength_total+NPlength_SiversTMDPDF
if(include_wgtTMDPDF) NPlength_total=NPlength_total+NPlength_wgtTMDPDF
if(outputLevel>2) write(*,*) ' artemide.control: Total number of NP parameters:',NPlength_total
c1_saved=1d0
c2_saved=1d0
c3_saved=1d0
c4_saved=1d0
call artemide_SetScaleVariations(c1_saved,c2_saved,c3_saved,c4_saved)
isStarted=.true.
if(outputLevel>1) write(*,*) color(' artemide.control: initialization done.',c_green_bold)
if(initilize_NParrays) then
if(outputLevel>1) write(*,*) 'artemide.control: setting initial NP arrays.'
if(include_TMDR) call artemide_SetNPparameters_TMDR(lambdaNP_TMDR)
if(include_uTMDPDF) call artemide_SetNPparameters_uTMDPDF(lambdaNP_uTMDPDF)
if(include_uTMDFF) call artemide_SetNPparameters_uTMDFF(lambdaNP_uTMDFF)
if(include_lpTMDPDF) call artemide_SetNPparameters_lpTMDPDF(lambdaNP_lpTMDPDF)
if(include_SiversTMDPDF) call artemide_SetNPparameters_SiversTMDPDF(lambdaNP_SiversTMDPDF)
if(include_wgtTMDPDF) call artemide_SetNPparameters_wgtTMDPDF(lambdaNP_wgtTMDPDF)
if(outputLevel>1) write(*,*) color(' artemide.control: initial NP arrays set.',c_green_bold)
end if
end subroutine artemide_Initialize
!-------------------------------------------------------------- NP parameters ---------------------------
subroutine artemide_SetNPparameters(lambdaNP)
real(dp),intent(in)::lambdaNP(:)
real(dp),dimension(1:NPlength_total)::lambda_cur
integer::ll,num
ll=size(lambdaNP)
if(ll<NPlength_total) then
if(outputLevel>0) write(*,"(A,I4,A,I4,A)") &
color('artemide.SetNPparameters: ERROR: the length of NP parameters array (',c_red),ll,&
color(') is smaller then the total number of NP parameters (',c_red),NPlength_total,color(')',c_red)
if(outputLevel>0) write(*,*) color('NOTHING IS DONE',c_red)
return
end if
if(ll>NPlength_total) then
if(outputLevel>0) write(*,"(A,I4,A,I4,A)")&
color('artemide.SetNPparameters: ERROR: the length of NP parameters array (',c_red), ll,&
color(') is larger then total the number of NP parameters (',c_red),NPlength_total,color(')',c_red)
if(outputLevel>0) write(*,*) color('The array is trucated',c_red)
end if
lambda_cur=lambdaNP(1:NPlength_total)
num=0
!!! split the incoming array
if(include_TMDR) then
lambdaNP_TMDR=lambda_cur(num+1:num+NPlength_TMDR)
num=num+NPlength_TMDR
end if
if(include_uTMDPDF) then
lambdaNP_uTMDPDF=lambda_cur(num+1:num+NPlength_uTMDPDF)
num=num+NPlength_uTMDPDF
end if
if(include_uTMDFF) then
lambdaNP_uTMDFF=lambda_cur(num+1:num+NPlength_uTMDFF)
num=num+NPlength_uTMDFF
end if
if(include_lpTMDPDF) then
lambdaNP_lpTMDPDF=lambda_cur(num+1:num+NPlength_lpTMDPDF)
num=num+NPlength_uTMDPDF
end if
if(include_SiversTMDPDF) then
lambdaNP_SiversTMDPDF=lambda_cur(num+1:num+NPlength_SiversTMDPDF)
num=num+NPlength_SiversTMDPDF
end if
if(include_wgtTMDPDF) then
lambdaNP_wgtTMDPDF=lambda_cur(num+1:num+NPlength_wgtTMDPDF)
num=num+NPlength_wgtTMDPDF
end if
!!! sending NP arrays to packages
if(include_TMDR) call TMDR_setNPparameters(lambdaNP_TMDR)
if(include_uTMDPDF) call uTMDPDF_SetLambdaNP(lambdaNP_uTMDPDF)
if(include_uTMDFF) call uTMDFF_SetLambdaNP(lambdaNP_uTMDFF)
if(include_lpTMDPDF) call lpTMDPDF_SetLambdaNP(lambdaNP_lpTMDPDF)
if(include_SiversTMDPDF) call SiversTMDPDF_SetLambdaNP(lambdaNP_SiversTMDPDF)
if(include_wgtTMDPDF) call wgtTMDPDF_SetLambdaNP(lambdaNP_wgtTMDPDF)
!!! reseting other packages
if(include_TMDF) call TMDF_ResetCounters()
if(include_TMDX_DY) call TMDX_DY_ResetCounters()
if(include_TMDX_SIDIS) call TMDX_SIDIS_ResetCounters()
end subroutine artemide_SetNPparameters
subroutine artemide_SetNPparameters_TMDR(lambdaNP)
real(dp),intent(in)::lambdaNP(:)
integer::ll
if(.not.include_TMDR) then
if(outputLevel>0) &
write(*,*) &
ErrorString('attempt to set NP-parameters for TMDR, while TMDR module is not included in the current setup',moduleName)
if(outputLevel>0) write(*,*) color('NOTHING IS DONE',c_red)
return
end if
ll=size(lambdaNP)
if(ll<NPlength_TMDR) then
if(outputLevel>0) write(*,"(A,I4,A,I4,A)")&
color('artemide.SetNPparameters-TMDR: ERROR: the length of NP parameters array (',c_red),ll,&
color(') is smaller then the total number of NP parameters for TMDR (',c_red),NPlength_TMDR,&
color(')',c_red)
if(outputLevel>0) write(*,*) color('NOTHING IS DONE',c_red)
return
end if
if(ll>NPlength_TMDR) then
if(outputLevel>0) write(*,"(A,I4,A,I4,A)")&
color('artemide.SetNPparameters: ERROR: the length of NP parameters array (',c_red),ll,&
color(') is larger then total the number of NP parameters for TMDR (',c_red),NPlength_TMDR,&
color(')',c_red)
if(outputLevel>0) write(*,*) color('The array is trucated',c_red)
end if
lambdaNP_TMDR=lambdaNP(1:NPlength_TMDR)
call TMDR_setNPparameters(lambdaNP_TMDR)
!!! reseting other packages
if(include_TMDF) call TMDF_ResetCounters()
if(include_TMDX_DY) call TMDX_DY_ResetCounters()
if(include_TMDX_SIDIS) call TMDX_SIDIS_ResetCounters()
end subroutine artemide_SetNPparameters_TMDR
subroutine artemide_SetNPparameters_uTMDPDF(lambdaNP)
real(dp),intent(in)::lambdaNP(:)
integer::ll
if(.not.include_uTMDPDF) then
if(outputLevel>0) &
write(*,*) &
ErrorString('attempt to set NP-parameters for uTMDPDF, while uTMDPDF module is not included in the current setup',&
moduleName)
if(outputLevel>0) write(*,*) color('NOTHING IS DONE',c_red)
return
end if
ll=size(lambdaNP)
if(ll<NPlength_uTMDPDF) then
if(outputLevel>0) write(*,"(A,I4,A,I4,A)")&
color('artemide.SetNPparameters-uTMDPDF: ERROR: the length of NP parameters array (',c_red),ll,&
color(') is smaller then the total number of NP parameters for uTMDPDF (',c_red),NPlength_uTMDPDF,&
color(')',c_red)
if(outputLevel>0) write(*,*) color('NOTHING IS DONE',c_red)
return
end if
if(ll>NPlength_uTMDPDF) then
if(outputLevel>0) write(*,"(A,I4,A,I4,A)")&
color('artemide.SetNPparameters: ERROR: the length of NP parameters array (',c_red),ll,&
color(') is larger then total the number of NP parameters for uTMDPDF (',c_red),NPlength_uTMDPDF,&
color(')',c_red)
if(outputLevel>0) write(*,*) color('The array is trucated',c_red)
end if
lambdaNP_uTMDPDF=lambdaNP(1:NPlength_uTMDPDF)
call uTMDPDF_SetLambdaNP(lambdaNP_uTMDPDF)
!!! reseting other packages
if(include_TMDF) call TMDF_ResetCounters()
if(include_TMDX_DY) call TMDX_DY_ResetCounters()
if(include_TMDX_SIDIS) call TMDX_SIDIS_ResetCounters()
end subroutine artemide_SetNPparameters_uTMDPDF
subroutine artemide_SetNPparameters_uTMDFF(lambdaNP)
real(dp),intent(in)::lambdaNP(:)
integer::ll
if(.not.include_uTMDFF) then
if(outputLevel>0) &
write(*,*) ErrorString('attempt to set NP-parameters for uTMDFF, while uTMDFF module is not included in the current setup',&
moduleName)
if(outputLevel>0) write(*,*) color('NOTHING IS DONE',c_red)
return
end if
ll=size(lambdaNP)
if(ll<NPlength_uTMDFF) then
if(outputLevel>0) write(*,"(A,I4,A,I4,A)")&
color('artemide.SetNPparameters-uTMDFF: ERROR: the length of NP parameters array (',c_red),ll,&
color(') is smaller then the total number of NP parameters for uTMDFF (',c_red),NPlength_uTMDFF,&
color(')',c_red)
if(outputLevel>0) write(*,*) color('NOTHING IS DONE',c_red)
return
end if
if(ll>NPlength_uTMDFF) then
if(outputLevel>0) write(*,"(A,I4,A,I4,A)")&
color('artemide.SetNPparameters: ERROR: the length of NP parameters array (',c_red),ll,&
color(') is larger then total the number of NP parameters for uTMDFF (',c_red),NPlength_uTMDFF,&
color(')',c_red)
if(outputLevel>0) write(*,*) color('The array is trucated',c_red)
end if
lambdaNP_uTMDFF=lambdaNP(1:NPlength_uTMDFF)
call uTMDFF_SetLambdaNP(lambdaNP_uTMDFF)
!!! reseting other packages
if(include_TMDF) call TMDF_ResetCounters()
if(include_TMDX_DY) call TMDX_DY_ResetCounters()
if(include_TMDX_SIDIS) call TMDX_SIDIS_ResetCounters()
end subroutine artemide_SetNPparameters_uTMDFF
subroutine artemide_SetNPparameters_lpTMDPDF(lambdaNP)
real(dp),intent(in)::lambdaNP(:)
integer::ll
if(.not.include_lpTMDPDF) then
if(outputLevel>0) &
write(*,*) ErrorString('attempt to set NP-parameters for lpTMDPDF, &
while lpTMDPDF module is not included in the current setup',moduleName)
if(outputLevel>0) write(*,*) color('NOTHING IS DONE',c_red)
return
end if
ll=size(lambdaNP)
if(ll<NPlength_lpTMDPDF) then
if(outputLevel>0) write(*,"(A,I4,A,I4,A)")&
color('artemide.SetNPparameters-lpTMDPDF: ERROR: the length of NP parameters array (',c_red),ll,&
color(') is smaller then the total number of NP parameters for lpTMDPDF (',c_red),NPlength_lpTMDPDF,&
color(')',c_red)
if(outputLevel>0) write(*,*) color('NOTHING IS DONE',c_red)
return
end if
if(ll>NPlength_lpTMDPDF) then
if(outputLevel>0) write(*,"(A,I4,A,I4,A)")&
color('artemide.SetNPparameters: ERROR: the length of NP parameters array (',c_red),ll,&
color(') is larger then total the number of NP parameters for lpTMDPDF (',c_red),NPlength_lpTMDPDF,&
color(')',c_red)
if(outputLevel>0) write(*,*) color('The array is trucated',c_red)
end if
lambdaNP_lpTMDPDF=lambdaNP(1:NPlength_lpTMDPDF)
call lpTMDPDF_SetLambdaNP(lambdaNP_lpTMDPDF)
!!! reseting other packages
if(include_TMDF) call TMDF_ResetCounters()
if(include_TMDX_DY) call TMDX_DY_ResetCounters()
if(include_TMDX_SIDIS) call TMDX_SIDIS_ResetCounters()
end subroutine artemide_SetNPparameters_lpTMDPDF
subroutine artemide_SetNPparameters_SiversTMDPDF(lambdaNP)
real(dp),intent(in)::lambdaNP(:)
integer::ll
if(.not.include_SiversTMDPDF) then
if(outputLevel>0) &
write(*,*) ErrorString('attempt to set NP-parameters for SiversTMDPDF, &
while SiversTMDPDF module is not included in the current setup',moduleName)
if(outputLevel>0) write(*,*) color('NOTHING IS DONE',c_red)
return
end if
ll=size(lambdaNP)
if(ll<NPlength_SiversTMDPDF) then
if(outputLevel>0) write(*,"(A,I4,A,I4,A)")&
color('artemide.SetNPparameters-SiversTMDPDF: ERROR: the length of NP parameters array (',c_red),ll,&
color(') is smaller then the total number of NP parameters for SiversTMDPDF (',c_red),NPlength_SiversTMDPDF,&
color(')',c_red)
if(outputLevel>0) write(*,*) color('NOTHING IS DONE',c_red)
return
end if
if(ll>NPlength_SiversTMDPDF) then
if(outputLevel>0) write(*,"(A,I4,A,I4,A)")&
color('artemide.SetNPparameters: ERROR: the length of NP parameters array (',c_red),ll,&
color(') is larger then total the number of NP parameters for SiversTMDPDF (',c_red),NPlength_SiversTMDPDF,&
color(')',c_red)
if(outputLevel>0) write(*,*) color('The array is trucated',c_red)
end if
lambdaNP_SiversTMDPDF=lambdaNP(1:NPlength_SiversTMDPDF)
call SiversTMDPDF_SetLambdaNP(lambdaNP_SiversTMDPDF)
!!! reseting other packages
if(include_TMDF) call TMDF_ResetCounters()
if(include_TMDX_DY) call TMDX_DY_ResetCounters()
if(include_TMDX_SIDIS) call TMDX_SIDIS_ResetCounters()
end subroutine artemide_SetNPparameters_SiversTMDPDF
subroutine artemide_SetNPparameters_wgtTMDPDF(lambdaNP)
real(dp),intent(in)::lambdaNP(:)
integer::ll
if(.not.include_wgtTMDPDF) then
if(outputLevel>0) &
write(*,*) ErrorString('attempt to set NP-parameters for wgtTMDPDF, &
while wgtTMDPDF module is not included in the current setup',moduleName)
if(outputLevel>0) write(*,*) color('NOTHING IS DONE',c_red)
return
end if
ll=size(lambdaNP)
if(ll<NPlength_wgtTMDPDF) then
if(outputLevel>0) write(*,"(A,I4,A,I4,A)")&
color('artemide.SetNPparameters-wgtTMDPDF: ERROR: the length of NP parameters array (',c_red),ll,&
color(') is smaller then the total number of NP parameters for wgtTMDPDF (',c_red),NPlength_wgtTMDPDF,&
color(')',c_red)
if(outputLevel>0) write(*,*) color('NOTHING IS DONE',c_red)
return
end if
if(ll>NPlength_wgtTMDPDF) then
if(outputLevel>0) write(*,"(A,I4,A,I4,A)")&
color('artemide.SetNPparameters: ERROR: the length of NP parameters array (',c_red),ll,&
color(') is larger then total the number of NP parameters for wgtTMDPDF (',c_red),NPlength_wgtTMDPDF,&
color(')',c_red)
if(outputLevel>0) write(*,*) color('The array is trucated',c_red)
end if
lambdaNP_wgtTMDPDF=lambdaNP(1:NPlength_wgtTMDPDF)
call wgtTMDPDF_SetLambdaNP(lambdaNP_wgtTMDPDF)
!!! reseting other packages
if(include_TMDF) call TMDF_ResetCounters()
if(include_TMDX_DY) call TMDX_DY_ResetCounters()
if(include_TMDX_SIDIS) call TMDX_SIDIS_ResetCounters()
end subroutine artemide_SetNPparameters_wgtTMDPDF
subroutine artemide_SetReplica_TMDR(num)
integer,intent(in)::num
if(.not.include_TMDR) then
if(outputLevel>0) &
write(*,*) ErrorString('attempt to set a replica for TMDR,&
while TMDR module is not included in the current setup',moduleName)
if(outputLevel>0) write(*,*) color('NOTHING IS DONE',c_red)
return
end if
call TMDR_setNPparameters(num)
call TMDR_CurrentNPparameters(lambdaNP_TMDR)
!!! reseting other packages
if(include_TMDF) call TMDF_ResetCounters()
if(include_TMDX_DY) call TMDX_DY_ResetCounters()
if(include_TMDX_SIDIS) call TMDX_SIDIS_ResetCounters()
end subroutine artemide_SetReplica_TMDR
subroutine artemide_SetReplica_uTMDPDF(num)
integer,intent(in)::num
if(.not.include_uTMDPDF) then
if(outputLevel>0) &
write(*,*) ErrorString('attempt to set a replica for uTMDPDF,&
while uTMDPDF module is not included in the current setup',moduleName)
if(outputLevel>0) write(*,*) color('NOTHING IS DONE',c_red)
return
end if
call uTMDPDF_SetLambdaNP(num)
call uTMDPDF_CurrentNPparameters(lambdaNP_uTMDPDF)
!!! reseting other packages
if(include_TMDF) call TMDF_ResetCounters()
if(include_TMDX_DY) call TMDX_DY_ResetCounters()
if(include_TMDX_SIDIS) call TMDX_SIDIS_ResetCounters()
end subroutine artemide_SetReplica_uTMDPDF
subroutine artemide_SetReplica_uTMDFF(num)
integer,intent(in)::num
if(.not.include_uTMDFF) then
if(outputLevel>0) &
write(*,*) ErrorString('attempt to set a replica for uTMDFF,&
while uTMDFF module is not included in the current setup',moduleName)
if(outputLevel>0) write(*,*) color('NOTHING IS DONE',c_red)
return
end if
call uTMDFF_SetLambdaNP(num)
call uTMDFF_CurrentNPparameters(lambdaNP_uTMDFF)
!!! reseting other packages
if(include_TMDF) call TMDF_ResetCounters()
if(include_TMDX_DY) call TMDX_DY_ResetCounters()
if(include_TMDX_SIDIS) call TMDX_SIDIS_ResetCounters()
end subroutine artemide_SetReplica_uTMDFF
subroutine artemide_SetReplica_lpTMDPDF(num)
integer,intent(in)::num
if(.not.include_lpTMDPDF) then
if(outputLevel>0) &
write(*,*) ErrorString('attempt to set a replica for lpTMDPDF,&
while lpTMDPDF module is not included in the current setup',ModuleName)
if(outputLevel>0) write(*,*) 'NOTHING IS DONE'
return
end if
call lpTMDPDF_SetLambdaNP(num)
call lpTMDPDF_CurrentNPparameters(lambdaNP_lpTMDPDF)
!!! reseting other packages
if(include_TMDF) call TMDF_ResetCounters()
if(include_TMDX_DY) call TMDX_DY_ResetCounters()
if(include_TMDX_SIDIS) call TMDX_SIDIS_ResetCounters()
end subroutine artemide_SetReplica_lpTMDPDF
subroutine artemide_SetReplica_SiversTMDPDF(num)
integer,intent(in)::num
if(.not.include_SiversTMDPDF) then
if(outputLevel>0) &
write(*,*) ErrorString('attempt to set a replica for SiversTMDPDF,&
while SiversTMDPDF module is not included in the current setup',ModuleName)
if(outputLevel>0) write(*,*) 'NOTHING IS DONE'
return
end if
call SiversTMDPDF_SetLambdaNP(num)
call SiversTMDPDF_CurrentNPparameters(lambdaNP_SiversTMDPDF)
!!! reseting other packages
if(include_TMDF) call TMDF_ResetCounters()
if(include_TMDX_DY) call TMDX_DY_ResetCounters()
if(include_TMDX_SIDIS) call TMDX_SIDIS_ResetCounters()
end subroutine artemide_SetReplica_SiversTMDPDF
subroutine artemide_SetReplica_wgtTMDPDF(num)
integer,intent(in)::num
if(.not.include_wgtTMDPDF) then
if(outputLevel>0) &
write(*,*) ErrorString('attempt to set a replica for wgtTMDPDF,&
while wgtTMDPDF module is not included in the current setup',ModuleName)
if(outputLevel>0) write(*,*) 'NOTHING IS DONE'
return
end if
call wgtTMDPDF_SetLambdaNP(num)
call wgtTMDPDF_CurrentNPparameters(lambdaNP_wgtTMDPDF)
!!! reseting other packages
if(include_TMDF) call TMDF_ResetCounters()
if(include_TMDX_DY) call TMDX_DY_ResetCounters()
if(include_TMDX_SIDIS) call TMDX_SIDIS_ResetCounters()
end subroutine artemide_SetReplica_wgtTMDPDF
!------------------------------------------------------- Other routines ---------------------------------
subroutine artemide_ShowStatistics()
integer::i
write(*,*) '------------------------- artemide statistics -------------------------'
write(*,*) 'Synopsis of NP input:'
if(include_TMDR) then
write(*,"('--- TMDR : ',I3,' parameters')") NPlength_TMDR
do i=1,NPlength_TMDR
write(*,"(F10.4,' ')",advance='no') lambdaNP_TMDR(i)
end do
write(*,*) ' '
end if
if(include_uTMDPDF) then
write(*,"('--- uTMDPDF : ',I3,' parameters')") NPlength_uTMDPDF
do i=1,NPlength_uTMDPDF
write(*,"(F10.4,' ')",advance='no') lambdaNP_uTMDPDF(i)
end do
write(*,*) ' '
end if
if(include_uTMDFF) then
write(*,"('--- uTMDFF : ',I3,' parameters')") NPlength_uTMDFF
do i=1,NPlength_uTMDFF
write(*,"(F10.4,' ')",advance='no') lambdaNP_uTMDFF(i)
end do
write(*,*) ' '
end if
if(include_lpTMDPDF) then
write(*,"('--- lpTMDPDF : ',I3,' parameters')") NPlength_lpTMDPDF
do i=1,NPlength_lpTMDPDF
write(*,"(F10.4,' ')",advance='no') lambdaNP_lpTMDPDF(i)
end do
write(*,*) ' '
end if
if(include_SiversTMDPDF) then
write(*,"('--- SiversTMDPDF : ',I3,' parameters')") NPlength_SiversTMDPDF
do i=1,NPlength_SiversTMDPDF
write(*,"(F10.4,' ')",advance='no') lambdaNP_SiversTMDPDF(i)
end do
write(*,*) ' '
end if
if(include_wgtTMDPDF) then
write(*,"('--- wgtTMDPDF : ',I3,' parameters')") NPlength_wgtTMDPDF
do i=1,NPlength_wgtTMDPDF
write(*,"(F10.4,' ')",advance='no') lambdaNP_wgtTMDPDF(i)
end do
write(*,*) ' '
end if
if(include_TMDF) call TMDF_ShowStatistic()
if(include_TMDX_DY) call TMDX_DY_ShowStatistic()
if(include_TMDX_SIDIS) call TMDX_SIDIS_ShowStatistic()
write(*,*) '-------------------------------------------------------------------------'
end subroutine artemide_ShowStatistics
!!! changes the scale variations
subroutine artemide_SetScaleVariations(c1,c2,c3,c4)
real(dp),intent(in)::c1,c2,c3,c4
if(outputLevel>2) write(*,"('artemide.control: set scale variations (c1,c2,c3,c4)= (',F5.2,F5.2,F5.2,F5.2,')')") c1,c2,c3,c4
if(include_uTMDPDF) call uTMDPDF_SetScaleVariation(c4)
if(include_uTMDFF) call uTMDFF_SetScaleVariation(c4)
if(include_lpTMDPDF) call lpTMDPDF_SetScaleVariation(c4)
if(include_SiversTMDPDF) call SiversTMDPDF_SetScaleVariation(c4)
if(include_wgtTMDPDF) call wgtTMDPDF_SetScaleVariation(c4)
if(include_TMDs) call TMDs_SetScaleVariations(c1,c3)
if(include_TMDX_DY) call TMDX_DY_SetScaleVariation(c2)
if(include_TMDX_SIDIS) call TMDX_SIDIS_SetScaleVariation(c2)
end subroutine artemide_SetScaleVariations
!!!! generates some base(typical) array of NP parameters (2,0.02,0...,1,0...,etc)
function BaseNPString()
real(dp)::BaseNPString(1:NPlength_total)
integer::i,j
j=1
if(include_TMDR) then
BaseNPString(j)=2d0
j=j+1
BaseNPString(j)=0.02d0
j=j+1
do i=3,NPlength_TMDR
BaseNPString(j)=0d0
j=j+1
end do
end if
if(include_uTMDPDF) then
BaseNPString(j)=1d0
j=j+1
do i=1,NPlength_uTMDPDF
BaseNPString(j)=0d0
j=j+1
end do
end if
if(include_uTMDFF) then
BaseNPString(j)=1d0
j=j+1
do i=1,NPlength_uTMDFF
BaseNPString(j)=0d0
j=j+1
end do
end if
if(include_lpTMDPDF) then
BaseNPString(j)=1d0
j=j+1
do i=1,NPlength_lpTMDPDF
BaseNPString(j)=0d0
j=j+1
end do
end if
if(include_SiversTMDPDF) then
BaseNPString(j)=1d0
j=j+1
do i=1,NPlength_SiversTMDPDF
BaseNPString(j)=0d0
j=j+1
end do
end if
if(include_wgtTMDPDF) then
BaseNPString(j)=1d0
j=j+1
do i=1,NPlength_wgtTMDPDF
BaseNPString(j)=0d0
j=j+1
end do
end if
if(j-1/=NPlength_total) then
write(*,*) ERRORstring("something went wrong on the creation of base NP parameters.",moduleName)
stop
end if
end function BaseNPString
!------------------------------------------------------- Working with .rep files -------------------------
!!!! this search for the string of NP parameters in the file "file" and returns rep=n
subroutine artemide_GetReplicaFromFile(file,rep,repString)
character(len=*)::file
integer::rep,i,k1,k2,numR,lenArray,ver
real(dp),allocatable,intent(out)::repString(:)
real(dp),allocatable::ParametersTOread(:)
logical::file_exists
INQUIRE(FILE=trim(FILE), EXIST=file_exists)
if(.not.file_exists) then
write(*,*) ERRORstring('replica file is not found: '//trim(FILE),moduleName)
stop
end if
if(.not.isStarted .and. outputLevel>1) &
write(*,*) WarningString(' is not initialized. Continue to read replicas without checks.',moduleName)
OPEN(UNIT=51, FILE=trim(FILE), ACTION="read", STATUS="old")
!!! the version
call MoveTO(51,'*V ')
read(51,*) ver
call MoveTO(51,'*B ')
!!!! check total length
call MoveTO(51,'*0 ')
read(51,*) lenArray
if(isStarted) then
if(lenArray-1/=NPlength_total) then
write(*,*) ERRORstring('number of NP parameters in replica-file does not match the model',moduleName)
stop
end if
!!! --------------------check lengths by modules
if(include_TMDR) then
call MoveTO(51,'*3 ')
read(51,*) k1,k2
if(k2-k1+1/=NPlength_TMDR) then
write(*,*) ERRORstring('number of NP parameters in replica-file does not match the TMDR model',moduleName)
stop
end if
end if
if(include_uTMDPDF) then
call MoveTO(51,'*4 ')
read(51,*) k1,k2
if(k2-k1+1/=NPlength_uTMDPDF) then
write(*,*) ERRORstring('number of NP parameters in replica-file does not match the uTMDPDF model',moduleName)
stop
end if
end if
if(include_uTMDFF) then
call MoveTO(51,'*5 ')
read(51,*) k1,k2
if(k2-k1+1/=NPlength_uTMDFF) then
write(*,*) ERRORstring('number of NP parameters in replica-file does not match the uTMDFF model',moduleName)
stop
end if
end if
if(ver>=3 .and. include_lpTMDPDF) then
call MoveTO(51,'*11 ')
read(51,*) k1,k2
if(k2-k1+1/=NPlength_lpTMDPDF) then
write(*,*) ERRORstring('number of NP parameters in replica-file does not match the lpTMDPDF model',moduleName)
stop
end if
end if
if(ver>=15 .and. include_SiversTMDPDF) then
call MoveTO(51,'*12 ')
read(51,*) k1,k2
if(k2-k1+1/=NPlength_SiversTMDPDF) then
write(*,*) ERRORstring('number of NP parameters in replica-file does not match the SiversTMDPDF model',moduleName)
stop
end if
end if
if(ver>=19 .and. include_wgtTMDPDF) then
call MoveTO(51,'*13 ')
read(51,*) k1,k2
if(k2-k1+1/=NPlength_wgtTMDPDF) then
write(*,*) ERRORstring('number of NP parameters in replica-file does not match the wgtTMDPDF model',moduleName)
stop
end if
end if
end if
allocate(ParametersTOread(1:lenArray))
if(allocated(repString)) deallocate(repString)
allocate(repString(1:lenArray-1))
!!---------------------Continue to reading the file
!! indices related to the module
call MoveTO(51,'*C ')
read(51,*) numR!!! full number of replicas
!! read the replicas
if(rep<1) then ! case of technical replicas
call MoveTO(51,'*D ')
read(51,*) ParametersTOread
if(rep==-1) then ! replica -1
if(Int(ParametersTOread(1))==-1) then
repString=ParametersTOread(2:lenArray)
else
write(*,*) ERRORstring('error in the reading the replica (-1)',moduleName)
repString=BaseNPString()
end if
else if(rep==0) then ! replica 0
read(51,*) ParametersTOread
if(Int(ParametersTOread(1))==0) then
repString=ParametersTOread(2:lenArray)
else
write(*,*) ERRORstring('error in the reading the replica (0)',moduleName)
repString=BaseNPString()
end if
else ! ! replica unknown
write(*,*) ERRORstring('there is no such replica',moduleName),rep
repString=BaseNPString()
end if
else if(rep<=numR) then ! main pull of replicas
call MoveTO(51,'*R ')
do i=1,numR
read(51,*) ParametersTOread
repString=ParametersTOread(2:lenArray)
if(Int(ParametersTOread(1))==rep) then
repString=ParametersTOread(2:lenArray)
goto 101
end if
end do
write(*,*) ERRORstring('there is no replica',moduleName),rep
repString=BaseNPString()
else
write(*,*) ERRORstring('there is no such replica',moduleName),rep
end if
101 CLOSE (51, STATUS='KEEP')
deallocate(ParametersTOread)
end subroutine artemide_GetReplicaFromFile
!!!! this return the number of replicas stored in the file
function artemide_NumOfReplicasInFile(file)
character(len=*)::file
integer::numR,artemide_NumOfReplicasInFile
logical::file_exists
INQUIRE(FILE=trim(FILE), EXIST=file_exists)
if(.not.file_exists) then
write(*,*) ERRORstring('replica file is not found: '//trim(FILE),moduleName)
stop
end if
OPEN(UNIT=51, FILE=trim(FILE), ACTION="read", STATUS="old")
!! indices related to the module
call MoveTO(51,'*C ')
read(51,*) numR!!! full number of replicas
artemide_NumOfReplicasInFile=numR
CLOSE (51, STATUS='KEEP')
end function artemide_NumOfReplicasInFile
end module aTMDe_control
| 39,295 | 33.652557 | 132 | f90 |
artemide-public | artemide-public-master/src/aTMDe_setup.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe-setup 2.0
!
! Module that read, create and modify constants-files
!
! if you use this module please, quote 1803.11089
!
! A.Vladimirov (27.05.2019)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module aTMDe_Setup
use aTMDe_Numerics
use IO_functions
implicit none
private
character (len=5),parameter :: version="v2.06"
character (len=11),parameter :: moduleName="aTMDe-setup"
!! actual version of input file
integer,parameter::inputVer=21
!detalization of output: 0 = no output except critical, 1 = + WARNINGS, 2 = + states of initialization,sets,etc, 3 = + details
integer::outputLevel
integer::messageTrigger
!! if .true. uses the given NP arrays to initialize from aTMDe_control
logical::initialize_NParrays
!-----------------------physic parameters
logical::include_EWinput
!mass, and width parameters
real(dp)::mCHARM,mBOTTOM,mTOP,mZ,mW,GammaZ,GammaW,mH,GammaH,vevH
real(dp)::mELECTRON,mMUON,mTAU
!other physical parameters
real(dp)::hc2,alphaQED_MZ,sW2,alphaQED_MTAU
!CKM matrix
real(dp)::Vckm_UD,Vckm_US,Vckm_CD,Vckm_CS,Vckm_CB,Vckm_UB
!--------------------- uPDF parameters
integer::number_of_uPDFs
integer,allocatable::enumeration_of_uPDFs(:),replicas_of_uPDFs(:)
character(len=100),allocatable::sets_of_uPDFs(:)
!--------------------- uFF parameters
integer::number_of_uFFs
integer,allocatable::enumeration_of_uFFs(:),replicas_of_uFFs(:)
character(len=100),allocatable::sets_of_uFFs(:)
!--------------------- lpPDF parameters
integer::number_of_lpPDFs
integer,allocatable::enumeration_of_lpPDFs(:),replicas_of_lpPDFs(:)
character(len=100),allocatable::sets_of_lpPDFs(:)
!--------------------- hPDF parameters
integer::number_of_hPDFs
integer,allocatable::enumeration_of_hPDFs(:),replicas_of_hPDFs(:)
character(len=100),allocatable::sets_of_hPDFs(:)
!-------------------- TMDR options
logical::include_TMDR
character*8::TMDR_order
integer::TMDR_evolutionType,TMDR_lambdaLength
real(dp)::TMDR_tolerance
real(dp),allocatable::TMDR_lambdaNP_init(:)
!-------------------- uTMDPDF parameters
logical::include_uTMDPDF
integer::uTMDPDF_lambdaLength
real(dp)::uTMDPDF_tolerance
integer::uTMDPDF_maxIteration
character*8::uTMDPDF_order
logical::uTMDPDF_makeGrid,uTMDPDF_withGluon
real(dp)::uTMDPDF_grid_bMax,uTMDPDF_grid_xMin,uTMDPDF_grid_slope
integer::uTMDPDF_grid_SizeX,uTMDPDF_grid_SizeB
real(dp),allocatable::uTMDPDF_lambdaNP_init(:)
logical::uTMDPDF_IsComposite
!-------------------- uTMDFF parameters
logical::include_uTMDFF
integer::uTMDFF_lambdaLength
real(dp)::uTMDFF_tolerance
integer::uTMDFF_maxIteration
character*8::uTMDFF_order
logical::uTMDFF_makeGrid,uTMDFF_withGluon
real(dp)::uTMDFF_grid_bMax,uTMDFF_grid_xMin,uTMDFF_grid_slope
integer::uTMDFF_grid_SizeX,uTMDFF_grid_SizeB
real(dp),allocatable::uTMDFF_lambdaNP_init(:)
logical::uTMDFF_IsComposite
!-------------------- lpTMDPDF parameters
logical::include_lpTMDPDF
integer::lpTMDPDF_lambdaLength
real(dp)::lpTMDPDF_tolerance
integer::lpTMDPDF_maxIteration
character*8::lpTMDPDF_order
logical::lpTMDPDF_makeGrid,lpTMDPDF_withGluon
real(dp)::lpTMDPDF_grid_bMax,lpTMDPDF_grid_xMin,lpTMDPDF_grid_slope
integer::lpTMDPDF_grid_SizeX,lpTMDPDF_grid_SizeB
real(dp),allocatable::lpTMDPDF_lambdaNP_init(:)
logical::lpTMDPDF_IsComposite
!-------------------- SiversTMDPDF parameters
logical::include_SiversTMDPDF
integer::SiversTMDPDF_lambdaLength
real(dp)::SiversTMDPDF_tolerance
integer::SiversTMDPDF_maxIteration
character*8::SiversTMDPDF_order
logical::SiversTMDPDF_makeGrid,SiversTMDPDF_withGluon
real(dp)::SiversTMDPDF_grid_bMax,SiversTMDPDF_grid_xMin,SiversTMDPDF_grid_slope
integer::SiversTMDPDF_grid_SizeX,SiversTMDPDF_grid_SizeB
real(dp),allocatable::SiversTMDPDF_lambdaNP_init(:)
logical::SiversTMDPDF_IsComposite
integer::number_of_SiversTMDPDFs
integer,allocatable::enumeration_of_SiversTMDPDFs(:)
!-------------------- wgtTMDPDF parameters
logical::include_wgtTMDPDF
integer::wgtTMDPDF_lambdaLength
real(dp)::wgtTMDPDF_tolerance
integer::wgtTMDPDF_maxIteration
character*8::wgtTMDPDF_order
logical::wgtTMDPDF_makeGrid,wgtTMDPDF_withGluon
real(dp)::wgtTMDPDF_grid_bMax,wgtTMDPDF_grid_xMin,wgtTMDPDF_grid_slope
integer::wgtTMDPDF_grid_SizeX,wgtTMDPDF_grid_SizeB
real(dp),allocatable::wgtTMDPDF_lambdaNP_init(:)
logical::wgtTMDPDF_IsComposite
integer::number_of_wgtTMDPDFs
integer,allocatable::enumeration_of_wgtTMDPDFs(:)
!-------------------- TMDs parameters
logical::include_TMDs
!-------------------- TMDF parameters
logical::include_TMDF
real(dp)::TMDF_OGATAh,TMDF_tolerance
real(dp)::TMDF_mass
!-------------------- TMDs-inKT parameters
logical::include_TMDs_inKT
real(dp)::TMDs_inKT_OGATAh,TMDs_inKT_tolerance
!-------------------- TMDX-DY parameters
logical::include_TMDX_DY
character*8::TMDX_DY_order
real(dp)::TMDX_DY_tolerance
integer::TMDX_DY_ptSECTION
logical::TMDX_DY_exactX1X2,TMDX_DY_piResum,TMDX_DY_exactScale
integer::TMDX_DY_numProc
real::TMDX_DY_maxQbinSize
!-------------------- TMDX-SIDIS parameters
logical::include_TMDX_SIDIS
character*8::TMDX_SIDIS_order
real(dp)::TMDX_SIDIS_tolerance
integer::TMDX_SIDIS_ptSECTION
logical::TMDX_SIDIS_qTcorr,TMDX_SIDIS_M1corr,TMDX_SIDIS_M2corr,TMDX_SIDIS_qTinX1Z1corr,TMDX_SIDIS_exactScale
integer::TMDX_SIDIS_numProc
real(dp)::TMDX_SIDIS_toleranceZ,TMDX_SIDIS_toleranceX
character(len=4)::TMDX_SIDIS_methodZ,TMDX_SIDIS_methodX
!---------------------------------------------------
public::artemide_Setup_Default,artemide_Setup_fromFile,artemide_include,CreateConstantsFile,ReadConstantsFile,CheckConstantsFile
public::Set_uPDF,Set_uFF,Set_lpPDF,Set_quarkMasses,Set_EWparameters
public::Set_TMDR_order,Set_TMDR_evolutionType,Set_TMDR_lengthNParray
public::Set_uTMDPDF,Set_uTMDPDF_order,Set_uTMDPDF_gridEvaluation,Set_uTMDPDF_lengthNParray
public::Set_uTMDFF,Set_uTMDFF_order,Set_uTMDFF_gridEvaluation,Set_uTMDFF_lengthNParray
public::Set_lpTMDPDF,Set_lpTMDPDF_order,Set_lpTMDPDF_gridEvaluation,Set_lpTMDPDF_lengthNParray
!public::Set_hTMDPDF,Set_hTMDPDF_order,Set_hTMDPDF_gridEvaluation,Set_hTMDPDF_lengthNParray
contains
INCLUDE 'Code/aTMDe_setup/const-modification.f90'
!!!
subroutine artemide_Setup_Default(order)
character(len=*),intent(in)::order
outputLevel=2
call SetupDefault(trim(order))
end subroutine artemide_Setup_Default
subroutine artemide_Setup_fromFile(file,prefix,order)
character(len=*)::file
character(len=*),optional::prefix
character(len=*),optional::order
!! first we set up the default definitions for LO
outputLevel=2
if(present(order)) then
call SetupDefault(trim(order))
else
call SetupDefault('LO')
end if
if(present(prefix)) then
call ReadConstantsFile(file,prefix)
else
call ReadConstantsFile(file)
end if
end subroutine artemide_Setup_fromFile
!!! This subroutine set all parameters to their defaul value according to given order
!!! It is called in any case, in order to make sure that all parameters are defined
subroutine SetupDefault(order)
character(len=*),intent(in)::order
!---------------------Global definitions
outputLevel=2
messageTrigger=6
initialize_NParrays=.false.
include_EWinput=.true.
!-----------------------physic parameters
mCHARM=1.2700d0 !threashold mass for charm quark
mBOTTOM=4.180d0 !threashold mass for bottom quark
mTOP=172.90d0 !threashold mass for top quark
mZ=91.1876d0 !pole mass for Z-boson
GammaZ=2.4952d0 !width of Z-boson
mW=80.379d0 !pole mass for W-boson
GammaW=2.085d0 !width of W-boson
mH=125.1d0 !pole mass for Higgs-boson
GammaH=0.0042d0 !width of Higgs-boson [GeV]
vevH=246.d0 !Higgs Vev
mELECTRON=0.0005109989461d0 !mass of electron[GeV]
mMUON=0.1056583745d0 !mass of muon[GeV]
mTAU=1.77686d0 !mass of tau
hc2=0.389379338d0 !transformation constant (hc)^2 GeV->mbarn
alphaQED_MZ=127.955d0 !inverse alpha_QED at Z-boson mass
alphaQED_MTAU=133.476d0 !inverse alpha_QED at TAU-lepton mass
sW2=0.23122d0 !sin^2 theta_Weinberg
!CKM matrix
Vckm_UD=0.97420d0
Vckm_US=0.2243d0
Vckm_CD=0.218d0
Vckm_CS=0.997d0
Vckm_CB=0.0422d0
Vckm_UB=0.0394d0
!-------------------Parameters for uPDFs evaluation
number_of_uPDFs=1
if(allocated(enumeration_of_uPDFs)) deallocate(enumeration_of_uPDFs)
if(allocated(replicas_of_uPDFs)) deallocate(replicas_of_uPDFs)
if(allocated(sets_of_uPDFs)) deallocate(sets_of_uPDFs)
allocate(enumeration_of_uPDFs(1:1))
allocate(replicas_of_uPDFs(1:1))
allocate(sets_of_uPDFs(1:1))
enumeration_of_uPDFs=(/1/)
replicas_of_uPDFs=(/0/)
select case(order)
case('LO','LO+')
sets_of_uPDFs=(/trim('MMHT2014lo68cl')/)
case('NLO','NLO+')
sets_of_uPDFs=(/trim('MMHT2014nlo68cl')/)
case('NNLO','NNLO+')
sets_of_uPDFs=(/trim('MMHT2014nnlo68cl')/)
end select
!-------------------Parameters for uFFs evaluation
! by definition we do not initiate any FFs
number_of_uFFs=0
if(allocated(enumeration_of_uFFs)) deallocate(enumeration_of_uFFs)
if(allocated(replicas_of_uFFs)) deallocate(replicas_of_uFFs)
if(allocated(sets_of_uFFs)) deallocate(sets_of_uFFs)
allocate(enumeration_of_uFFs(1:1))
allocate(replicas_of_uFFs(1:1))
allocate(sets_of_uFFs(1:1))
enumeration_of_uFFs=(/-1/)
replicas_of_uFFs=(/0/)
sets_of_uFFs=(/trim('ABSENT')/)
!-------------------Parameters for lpPDFs evaluation
! by definition we do not initiate any lpPDF
number_of_lpPDFs=0
if(allocated(enumeration_of_lpPDFs)) deallocate(enumeration_of_lpPDFs)
if(allocated(replicas_of_lpPDFs)) deallocate(replicas_of_lpPDFs)
if(allocated(sets_of_lpPDFs)) deallocate(sets_of_lpPDFs)
allocate(enumeration_of_lpPDFs(1:1))
allocate(replicas_of_lpPDFs(1:1))
allocate(sets_of_lpPDFs(1:1))
enumeration_of_lpPDFs=(/-1/)
replicas_of_lpPDFs=(/0/)
sets_of_lpPDFs=(/trim('ABSENT')/)
!-------------------Parameters for hPDFs evaluation
! by definition we do not initiate any hPDF
number_of_hPDFs=0
if(allocated(enumeration_of_hPDFs)) deallocate(enumeration_of_hPDFs)
if(allocated(replicas_of_hPDFs)) deallocate(replicas_of_hPDFs)
if(allocated(sets_of_hPDFs)) deallocate(sets_of_hPDFs)
allocate(enumeration_of_hPDFs(1:1))
allocate(replicas_of_hPDFs(1:1))
allocate(sets_of_hPDFs(1:1))
enumeration_of_hPDFs=(/-1/)
replicas_of_hPDFs=(/0/)
sets_of_hPDFs=(/trim('ABSENT')/)
!-------------------- parameters for TMDR
include_TMDR=.true.
TMDR_order=trim(order)
TMDR_evolutionType=3 !1 = improved D solution ,2 = improved gamma solution, 3 = fixed mu
TMDR_lambdaLength=2
call ReNewInitializationArray(TMDR_lambdaNP_init,TMDR_lambdaLength)! initialization values of parameters
TMDR_tolerance=0.0001d0 !tolerance of searching for saddle point, numerical integration etc.
!-------------------- parameters for UTMDPDF
include_uTMDPDF=.true.
uTMDPDF_order=trim(order)
uTMDPDF_IsComposite=.false.
uTMDPDF_makeGrid=.true.
uTMDPDF_withGluon=.false.
uTMDPDF_lambdaLength=2
call ReNewInitializationArray(uTMDPDF_lambdaNP_init,uTMDPDF_lambdaLength)! initialization values of parameters
uTMDPDF_tolerance=0.0001d0 !tolerance (i.e. relative integration tolerance -- in convolution integrals)
uTMDPDF_maxIteration=10000 !maxIteration for adaptive integration
uTMDPDF_grid_xMin=0.00001d0
uTMDPDF_grid_bMax=100d0
uTMDPDF_grid_SizeX=250
uTMDPDF_grid_SizeB=750
uTMDPDF_grid_slope=10d0
!-------------------- parameters for UTMDFF
include_uTMDFF=.false.!!! we do not initialize TMDFF by definition
uTMDFF_order=trim(order)
uTMDFF_IsComposite=.false.
uTMDFF_makeGrid=.true.
uTMDFF_withGluon=.false.
uTMDFF_lambdaLength=1
call ReNewInitializationArray(uTMDFF_lambdaNP_init,uTMDFF_lambdaLength)! initialization values of parameters
uTMDFF_tolerance=0.0001d0 !tolerance (i.e. relative integration tolerance -- in convolution integrals)
uTMDFF_maxIteration=10000 !maxIteration for adaptive integration
uTMDFF_grid_xMin=0.05d0
uTMDFF_grid_bMax=50d0
uTMDFF_grid_SizeX=250
uTMDFF_grid_SizeB=400
uTMDFF_grid_slope=10d0
!-------------------- parameters for lpTMDPDF
include_lpTMDPDF=.false. !!! we do not initialize lpTMDPDF by definition
lpTMDPDF_order=trim(order)
lpTMDPDF_IsComposite=.false.
lpTMDPDF_makeGrid=.true.
lpTMDPDF_withGluon=.true.
lpTMDPDF_lambdaLength=1
call ReNewInitializationArray(lpTMDPDF_lambdaNP_init,lpTMDPDF_lambdaLength)! initialization values of parameters
lpTMDPDF_tolerance=0.0001d0 !tolerance (i.e. relative integration tolerance -- in convolution integrals)
lpTMDPDF_maxIteration=10000 !maxIteration for adaptive integration
lpTMDPDF_grid_xMin=0.00001d0
lpTMDPDF_grid_bMax=100d0
lpTMDPDF_grid_SizeX=250
lpTMDPDF_grid_SizeB=750
lpTMDPDF_grid_slope=10d0
!-------------------- parameters for SiversTMDPDF
include_SiversTMDPDF=.false. !!! we do not initialize SiversTMDPDF by definition
SiversTMDPDF_order=trim('LO') !!! by definition Sivers is tree-order
SiversTMDPDF_IsComposite=.false.
SiversTMDPDF_makeGrid=.false. !!! no need to make grid
SiversTMDPDF_withGluon=.false.
SiversTMDPDF_lambdaLength=1
call ReNewInitializationArray(SiversTMDPDF_lambdaNP_init,SiversTMDPDF_lambdaLength)! initialization values of parameters
SiversTMDPDF_tolerance=0.0001d0 !tolerance (i.e. relative integration tolerance -- in convolution integrals)
SiversTMDPDF_maxIteration=10000 !maxIteration for adaptive integration
SiversTMDPDF_grid_xMin=0.00001d0
SiversTMDPDF_grid_bMax=100d0
SiversTMDPDF_grid_SizeX=250
SiversTMDPDF_grid_SizeB=750
SiversTMDPDF_grid_slope=10d0
number_of_SiversTMDPDFs=0
if(allocated(enumeration_of_SiversTMDPDFs)) deallocate(enumeration_of_SiversTMDPDFs)
allocate(enumeration_of_SiversTMDPDFs(1:1))
enumeration_of_SiversTMDPDFs=(/-1/)
!-------------------- parameters for wgtTMDPDF
include_wgtTMDPDF=.false.
wgtTMDPDF_order=trim('LO')
wgtTMDPDF_IsComposite=.false.
wgtTMDPDF_makeGrid=.true.
wgtTMDPDF_withGluon=.false.
wgtTMDPDF_lambdaLength=1
call ReNewInitializationArray(wgtTMDPDF_lambdaNP_init,wgtTMDPDF_lambdaLength)! initialization values of parameters
wgtTMDPDF_tolerance=0.0001d0 !tolerance (i.e. relative integration tolerance -- in convolution integrals)
wgtTMDPDF_maxIteration=10000 !maxIteration for adaptive integration
wgtTMDPDF_grid_xMin=0.001d0
wgtTMDPDF_grid_bMax=100d0
wgtTMDPDF_grid_SizeX=250
wgtTMDPDF_grid_SizeB=500
wgtTMDPDF_grid_slope=10d0
number_of_wgtTMDPDFs=0
if(allocated(enumeration_of_wgtTMDPDFs)) deallocate(enumeration_of_wgtTMDPDFs)
allocate(enumeration_of_wgtTMDPDFs(1:1))
enumeration_of_wgtTMDPDFs=(/-1/)
!------------------ parameters for TMDs
include_TMDs=.true.
!------------------ parameters for TMDF
include_TMDF=.true.
TMDF_tolerance=0.0001d0 !tolerance (i.e. relative integration tolerance)
TMDF_OGATAh=0.001d0 !Ogata quadrature integration step
TMDF_mass=0.938272 !mass parameter that is used as reference dimension
!------------------ parameters for TMDs-inKT
include_TMDs_inKT=.false.
TMDs_inKT_tolerance=0.0001d0 !tolerance (i.e. relative integration tolerance)
TMDs_inKT_OGATAh=0.001d0 !Ogata quadrature integration step
!------------------ parameters for TMDX-DY
include_TMDX_DY=.true.
TMDX_DY_tolerance=0.001d0 !tolerance (i.e. relative integration tolerance -- in kinematic integrals;)
TMDX_DY_ptSECTION=4 !default number of sections for pt-bin integration
TMDX_DY_maxQbinSize=30. !default maximum size of the Q-bin integration
TMDX_DY_order=trim(order)
TMDX_DY_exactX1X2=.true.
TMDX_DY_piResum=.false.
TMDX_DY_exactScale=.false.
TMDX_DY_numProc=8
!------------------ parameters for TMDX-SIDIS
include_TMDX_SIDIS=.false.
TMDX_SIDIS_tolerance=0.001d0 !tolerance (i.e. relative integration tolerance -- in kinematic integrals;)
TMDX_SIDIS_ptSECTION=4 !default number of sections for pt-bin integration
TMDX_SIDIS_order=trim(order)
TMDX_SIDIS_qTcorr=.true.
TMDX_SIDIS_M1corr=.true.
TMDX_SIDIS_M2corr=.true.
TMDX_SIDIS_qTinX1Z1corr=.true.
TMDX_SIDIS_exactScale=.false.
TMDX_SIDIS_numProc=8
TMDX_SIDIS_toleranceZ=TMDX_SIDIS_tolerance
TMDX_SIDIS_methodZ='SA' !SA=Simpson adaptive, S5=Simpson 5-point
TMDX_SIDIS_toleranceX=TMDX_SIDIS_tolerance
TMDX_SIDIS_methodX='SA' !SA=Simpson adaptive, S5=Simpson 5-point
end subroutine SetupDefault
!!! theck the file for compatibility with the current version
!!! true= ver.FILE>=current version
!!! false= ver.FILE<current version
function CheckConstantsFile(file,prefix)
character(len=*)::file
character(len=*),optional::prefix
character(len=516)::path
logical::CheckConstantsFile
integer::FILEversion
if(present(prefix)) then
path=trim(adjustl(prefix))//trim(adjustr(file))
else
path=trim(adjustr(file))
end if
!!!read the version of the file
OPEN(UNIT=51, FILE=path, ACTION="read", STATUS="old")
call MoveTO(51,'*0 ')
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) FILEversion
CLOSE (51, STATUS='KEEP')
if(FILEversion<inputVer) then
CheckConstantsFile=.false.
else
CheckConstantsFile=.true.
end if
end function CheckConstantsFile
!-------------------------------------------------------READ AND WRITE CONSTANTS FILE---------------------------------------
subroutine CreateConstantsFile(file,prefix)
character(len=*)::file
character(len=*),optional::prefix
character(len=516)::path
integer::values(1:8),i
if(outputLevel>2) write(*,*) '-----------------------------------'
if(outputLevel>1) write(*,*) 'aTMDe_setup: Creating setup file ...'
if(present(prefix)) then
path=trim(adjustl(prefix))//trim(adjustr(file))
else
path=trim(adjustr(file))
end if
if(outputLevel>2) write(*,*) ' path for constants-file:',path
call date_and_time(values=values)
OPEN(UNIT=51, FILE=path, ACTION="write", STATUS="replace")
write(51,"('# Setup file for artemide')")
write(51,"('# File generated by aTMDe_setup ',A)") version
write(51,"('# File created at ',I3,':',I2,' (',I3,'/',I2,'/',I4,')')")values(5),values(6),values(3),values(2),values(1)
write(51,"('# ')")
write(51,"('# FORMAT: Lines started from * determine input parameter (*????), following line determine parameter value')")
write(51,"(' ')")
write(51,"(' ')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('# ---- GLOBAL PARAMETERS -----')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('*0 :')")
write(51,"(' ')")
write(51,"('*A : ---- Global I/O ----')")
write(51,"('*p1 : Input file Version (used to check version compatibility)')")
write(51,*) inputVer
write(51,"('*p2 : Output level (0 = no output except critical, 1 = + WARNINGS, 2 = + info, 3 = + details)')")
write(51,*) outputLevel
write(51,"('*p3 : Message trigger (the number of continious non-critical warning before stop showing them)')")
write(51,*) messageTrigger
write(51,"(' ')")
write(51,"('*B : ---- Universal physic parameters ----')")
write(51,"('*p1 : Unit transformation constant (hc)^2 [GeV->mbarn]')")
write(51,*) hc2
write(51,"(' ')")
write(51,"('*C : ---- aTMDe-control parameters ----')")
write(51,"('*p1 : initialize the modules by NP arrays')")
write(51,*) initialize_NParrays
write(51,"(' ')")
write(51,"(' ')")
write(51,"(' ')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('# ---- PARAMETERS OF QCDinput -----')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('*1 :')")
write(51,"(' ')")
write(51,"('*A : ---- quarks threashold masses ----')")
write(51,"('*p1 : mass of charm-quark')")
write(51,*) mCHARM
write(51,"('*p2 : mass of bottom-quark')")
write(51,*) mBOTTOM
write(51,"('*p3 : mass of top-quark')")
write(51,*) mTOP
write(51,"(' ')")
write(51,"('*B : ---- uPDF sets----')")
write(51,"('*p1 : total number of PDFs to initialize (0= initialization is skipped)')")
write(51,*) number_of_uPDFs
write(51,"('*p2 : reference number for hadrons')")
call writeShortIntegerList(51,enumeration_of_uPDFs)
write(51,"('*p3 : LHAPDF set names for hadrons (line-by-line corresponding to reference number')")
do i=1,number_of_uPDFs
write(51,*) trim(sets_of_uPDFs(i))
end do
write(51,"('*p4 : list of initialization replicas')")
call writeShortIntegerList(51,replicas_of_uPDFs)
write(51,"(' ')")
write(51,"('*C : ---- uFF sets----')")
write(51,"('*p1 : total number of FFs to initialize (0= initialization is skipped)')")
write(51,*) number_of_uFFs
write(51,"('*p2 : reference number for hadrons')")
call writeShortIntegerList(51,enumeration_of_uFFs)
write(51,"('*p3 : LHAPDF set names for hadrons (line-by-line corresponding to reference number')")
do i=1,number_of_uFFs
write(51,*) trim(sets_of_uFFs(i))
end do
write(51,"('*p4 : list of initialization replicas')")
call writeShortIntegerList(51,replicas_of_uFFs)
write(51,"(' ')")
write(51,"('*D : ----lpPDF sets----')")
write(51,"('*p1 : total number of PDFs to initialize (0= initialization is skipped)')")
write(51,*) number_of_lpPDFs
write(51,"('*p2 : reference number for hadrons')")
call writeShortIntegerList(51,enumeration_of_lpPDFs)
write(51,"('*p3 : LHAPDF set names for hadrons (line-by-line corresponding to reference number')")
do i=1,number_of_lpPDFs
write(51,*) trim(sets_of_lpPDFs(i))
end do
write(51,"('*p4 : list of initialization replicas')")
call writeShortIntegerList(51,replicas_of_lpPDFs)
write(51,"(' ')")
write(51,"('*E : ----hPDF sets----')")
write(51,"('*p1 : total number of PDFs to initialize (0= initialization is skipped)')")
write(51,*) number_of_hPDFs
write(51,"('*p2 : reference number for hadrons')")
call writeShortIntegerList(51,enumeration_of_hPDFs)
write(51,"('*p3 : LHAPDF set names for hadrons (line-by-line corresponding to reference number')")
do i=1,number_of_hPDFs
write(51,*) trim(sets_of_hPDFs(i))
end do
write(51,"('*p4 : list of initialization replicas')")
call writeShortIntegerList(51,replicas_of_hPDFs)
write(51,"(' ')")
write(51,"(' ')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('# ---- PARAMETERS OF EWinput -----')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('*2 :')")
write(51,"('*p1 : initialize EWinput module')")
write(51,*) include_EWinput
write(51,"(' ')")
write(51,"('*A : ---- EW coupling parameters ----')")
write(51,"('*p1 : value of (alphaQED)^{-1} at MZ')")
write(51,*) alphaQED_MZ
write(51,"('*p2 : value of sin^2(theta_W)')")
write(51,*) sW2
write(51,"('*p3 : values of CKM matrix (1-line:UD, US, UB, 2-line: CD, CS, CB)')")
write(51,*) Vckm_UD,Vckm_US,Vckm_UB
write(51,*) Vckm_CD,Vckm_CS,Vckm_CB
write(51,"('*p4 : value of (alphaQED)^{-1} at MTAU')")
write(51,*) alphaQED_MTAU
write(51,"('*B : ---- Z-boson ----')")
write(51,"('*p1 : mass of Z-boson [GeV]')")
write(51,*) mZ
write(51,"('*p2 : width of Z-boson [GeV]')")
write(51,*) GammaZ
write(51,"('*C : ---- W-boson ----')")
write(51,"('*p1 : mass of W-boson [GeV]')")
write(51,*) mW
write(51,"('*p2 : width of W-boson [GeV]')")
write(51,*) GammaW
write(51,"('*D : ---- Higgs-boson ----')")
write(51,"('*p1 : mass of Higgs-boson [GeV]')")
write(51,*) mH
write(51,"('*p2 : width of H-boson [GeV]')")
write(51,*) GammaH
write(51,"('*p3 : Vacuum expectation value (VEV) for Higgs potential [GeV]')")
write(51,*) vevH
write(51,"('*E : ---- Leptons ----')")
write(51,"('*p1 : mass of electron [GeV]')")
write(51,*) mELECTRON
write(51,"('*p2 : mass of muon [GeV]')")
write(51,*) mMUON
write(51,"('*p3 : mass of tau-lepton [GeV]')")
write(51,*) mTAU
write(51,"(' ')")
write(51,"(' ')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('# ---- PARAMETERS OF TMDR -----')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('*3 :')")
write(51,"('*p1 : initialize TMDR module')")
write(51,*) include_TMDR
write(51,"(' ')")
write(51,"('*A : ---- Main definitions ----')")
write(51,"('*p1 : Order of evolution')")
write(51,*) trim(TMDR_order)
write(51,"('*p2 : Type of evolution solution (1 = improved D solution ,2 = improved gamma solution, 3 = fixed mu)')")
write(51,*) TMDR_evolutionType
write(51,"('*B : ---- Parameters of NP model ----')")
write(51,"('*p1 : Length of lambdaNP')")
write(51,*) TMDR_lambdaLength
write(51,"('*p2 : Initialization parameters (in column)')")
do i=1,TMDR_lambdaLength
write(51,*) TMDR_lambdaNP_init(i)
end do
write(51,*)
write(51,"('*C : ---- Numerical evaluation parameters ----')")
write(51,"('*p1 : Tolerance (relative tolerance of convolution integral)')")
write(51,*) TMDR_tolerance
write(51,"(' ')")
write(51,"(' ')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('# ---- PARAMETERS OF uTMDPDF -----')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('*4 :')")
write(51,"('*p1 : initialize uTMDPDF module')")
write(51,*) include_uTMDPDF
write(51,"(' ')")
write(51,"('*A : ---- Main definitions ----')")
write(51,"('*p1 : Order of coefficient function')")
write(51,*) trim(uTMDPDF_order)
write(51,"('*p2 : Use composite TMD-function definition')")
write(51,*) uTMDPDF_IsComposite
write(51,"('*B : ---- Parameters of NP model ----')")
write(51,"('*p1 : Length of lambdaNP')")
write(51,*) uTMDPDF_lambdaLength
write(51,"('*p2 : Initialization parameters (in column)')")
do i=1,uTMDPDF_lambdaLength
write(51,*) uTMDPDF_lambdaNP_init(i)
end do
write(51,"('*C : ---- Numerical evaluation parameters ----')")
write(51,"('*p1 : Tolerance (relative tolerance of convolution integral)')")
write(51,*) uTMDPDF_tolerance
write(51,"('*p2 : Maximum number of iterations (for adaptive integration)')")
write(51,*) uTMDPDF_maxIteration
write(51,"('*D : ---- Grid preparation options ----')")
write(51,"('*p1 : Prepare grid')")
write(51,*) uTMDPDF_makeGrid
write(51,"('*p2 : Include gluon TMDs into the grid')")
write(51,*) uTMDPDF_withGluon
write(51,"('*p3 : total number of PDFs added to the grid (by default it coincides with number of initialized PDFs)')")
write(51,*) number_of_uPDFs
write(51,"('*p4 : reference numbers for hadrons (by default it coincides with references for PDFs)')")
call writeShortIntegerList(51,enumeration_of_uPDFs)
write(51,"('*E : ---- Parameters of grid ----')")
write(51,"('*p1 : xGrid_Min the minimal value of x in grid (max=1), make sure that it is enough)')")
write(51,*) uTMDPDF_grid_xMin
write(51,"('*p2 : the maximum bT in grid (min=0), for larger approximate extrapolation is done')")
write(51,*) uTMDPDF_grid_bMax
write(51,"('*p3 : GridSizeX (250 is enough for 10^-8 presicion, for grid up to 10^-5)')")
write(51,*) uTMDPDF_grid_SizeX
write(51,"('*p4 : GridSizeB (750 is enough for ~10^-6 presicion, 500 for 10^-5 presicion)')")
write(51,*) uTMDPDF_grid_SizeB
write(51,"('*p5 : slope scale of griding at smaller b (better not to change it :) )')")
write(51,*) uTMDPDF_grid_slope
write(51,"(' ')")
write(51,"(' ')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('# ---- PARAMETERS OF uTMDFF -----')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('*5 :')")
write(51,"('*p1 : initialize uTMDFF module')")
write(51,*) include_uTMDFF
write(51,"(' ')")
write(51,"('*A : ---- Main definitions ----')")
write(51,"('*p1 : Order of coefficient function')")
write(51,*) trim(uTMDFF_order)
write(51,"('*p2 : Use composite TMD-function definition')")
write(51,*) uTMDFF_IsComposite
write(51,"('*B : ---- Parameters of NP model ----')")
write(51,"('*p1 : Length of lambdaNP')")
write(51,*) uTMDFF_lambdaLength
write(51,"('*p2 : Initialization parameters (in column)')")
do i=1,uTMDFF_lambdaLength
write(51,*) uTMDFF_lambdaNP_init(i)
end do
write(51,"('*C : ---- Numerical evaluation parameters ----')")
write(51,"('*p1 : Tolerance (relative tolerance of convolution integral)')")
write(51,*) uTMDFF_tolerance
write(51,"('*p2 : Maximum number of iterations (for adaptive integration)')")
write(51,*) uTMDFF_maxIteration
write(51,"('*D : ---- Grid preparation options ----')")
write(51,"('*p1 : Prepare grid')")
write(51,*) uTMDFF_makeGrid
write(51,"('*p2 : Include gluon TMDs into the grid')")
write(51,*) uTMDFF_withGluon
write(51,"('*p3 : total number of FFs added to the grid (by default it coincides with number of initialized FFs)')")
write(51,*) number_of_uFFs
write(51,"('*p4 : reference numbers for hadrons (by default it coincides with references for FFs)')")
call writeShortIntegerList(51,enumeration_of_uFFs)
write(51,"('*E : ---- Parameters of grid ----')")
write(51,"('*p1 : xGrid_Min the minimal value of x in grid (max=1), make sure that it is enough)')")
write(51,*) uTMDFF_grid_xMin
write(51,"('*p2 : the maximum bT in grid (min=0), for larger approximate extrapolation is done')")
write(51,*) uTMDFF_grid_bMax
write(51,"('*p3 : GridSizeX (250 is enough for 10^-8 presicion, for grid up to 10^-5)')")
write(51,*) uTMDFF_grid_SizeX
write(51,"('*p4 : GridSizeB (750 is enough for ~10^-6 presicion, 500 for 10^-5 presicion)')")
write(51,*) uTMDFF_grid_SizeB
write(51,"('*p5 : slope scale of griding at smaller b (better not to change it :) )')")
write(51,*) uTMDFF_grid_slope
write(51,"(' ')")
write(51,"(' ')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('# ---- PARAMETERS OF TMDs -----')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('*6 :')")
write(51,"('*p1 : initialize TMDs module')")
write(51,*) include_TMDs
write(51,"(' ')")
write(51,"(' ')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('# ---- PARAMETERS OF TMDF -----')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('*7 :')")
write(51,"('*p1 : initialize TMDF module')")
write(51,*) include_TMDF
write(51,"('*A : ---- Numerical evaluation parameters ----')")
write(51,"('*p1 : Tolerance (relative tolerance of summation in OGATA quadrature)')")
write(51,*) TMDF_tolerance
write(51,"('*p2 : Ogata quadrature integration step')")
write(51,*) TMDF_OGATAh
write(51,"('*B : ---- Global garameters of structure functions----')")
write(51,"('*p1 : Mass parameter used in the structure function (mass of hadron)')")
write(51,*) TMDF_mass
write(51,"(' ')")
write(51,"(' ')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('# ---- PARAMETERS OF TMDs-inKT -----')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('*8 :')")
write(51,"('*p1 : initialize TMDs-inKT module')")
write(51,*) include_TMDs_inKT
write(51,"('*A : ---- Numerical evaluation parameters ----')")
write(51,"('*p1 : Tolerance (relative tolerance of summation in OGATA quadrature)')")
write(51,*) TMDs_inKT_tolerance
write(51,"('*p2 : Ogata quadrature integration step')")
write(51,*) TMDs_inKT_OGATAh
write(51,"(' ')")
write(51,"(' ')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('# ---- PARAMETERS OF TMDX-DY -----')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('*9 :')")
write(51,"('*p1 : initialize TMDX-DY module')")
write(51,*) include_TMDX_DY
write(51,"('*A : ---- Main definitions ----')")
write(51,"('*p1 : Order of coefficient function')")
write(51,*) trim(TMDX_DY_order)
write(51,"('*p2 : Use the exact values of x1 and x2 (include qT/Q correction)')")
write(51,*) TMDX_DY_exactX1X2
write(51,"('*p3 : Use resummation of pi^2-corrections in hard coefficient')")
write(51,*) TMDX_DY_piResum
write(51,"('*p4 : Use the exact values for factorization scales (include qT/Q correction)')")
write(51,*) TMDX_DY_exactScale
write(51,"('*B : ---- Numerical evaluation parameters ----')")
write(51,"('*p1 : Tolerance (relative tolerance for bin-integration routines, except pt-integration)')")
write(51,*) TMDX_DY_tolerance
write(51,"('*p2 : Minimal number of sections for pt-integration')")
write(51,*) TMDX_DY_ptSECTION
write(51,"('*p3 : Maximum size of the Q-bin integration (larger bins are desected)')")
write(51,*) TMDX_DY_maxQbinSize
write(51,"('*C : ---- Parameters for parallel evaluation (used only if compiled with openMP) ----')")
write(51,"('*p1 : Maximum number of processors to use')")
write(51,*) TMDX_DY_numProc
write(51,"(' ')")
write(51,"(' ')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('# ---- PARAMETERS OF TMDX-SIDIS -----')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('*10 :')")
write(51,"('*p1 : initialize TMDX-SIDIS module')")
write(51,*) include_TMDX_SIDIS
write(51,"('*A : ---- Main definitions ----')")
write(51,"('*p1 : Order of coefficient function')")
write(51,*) trim(TMDX_SIDIS_order)
write(51,"('*p2 : Use transverse momentum corrections in kinematics')")
write(51,*) TMDX_SIDIS_qTcorr
write(51,"('*p3 : Use target mass corrections in kinematics')")
write(51,*) TMDX_SIDIS_M1corr
write(51,"('*p4 : Use product mass corrections in kinematics')")
write(51,*) TMDX_SIDIS_M2corr
write(51,"('*p5 : Use transverse momentum corrections in x1 and z1')")
write(51,*) TMDX_SIDIS_qTinX1Z1corr
write(51,"('*p6 : Use the exact values for factorization scales (include qT/Q correction)')")
write(51,*) TMDX_SIDIS_exactScale
write(51,"('*B : ---- Numerical evaluation parameters ----')")
write(51,"('*p1 : Tolerance (relative tolerance for bin-integration routines, except pt-integration)')")
write(51,*) TMDX_SIDIS_tolerance
write(51,"('*p2 : Minimal number of sections for pt-integration')")
write(51,*) TMDX_SIDIS_ptSECTION
write(51,"('*p3 : Tolerance for Z-integration (relative tolerance for Z-bin-integration routines)')")
write(51,*) TMDX_SIDIS_toleranceZ
write(51,"('*p4 : Method for Z-bin integration (see manual)')")
write(51,*) TMDX_SIDIS_methodZ
write(51,"('*p5 : Tolerance for X-integration (relative tolerance for X-bin-integration routines)')")
write(51,*) TMDX_SIDIS_toleranceX
write(51,"('*p6 : Method for X-bin integration (see manual)')")
write(51,*) TMDX_SIDIS_methodX
write(51,"('*C : ---- Parameters for parallel evaluation (used only if compiled with openMP) ----')")
write(51,"('*p1 : Maximum number of processors to use')")
write(51,*) TMDX_SIDIS_numProc
write(51,"(' ')")
write(51,"(' ')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('# ---- PARAMETERS OF lpTMDPDF -----')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('*11 :')")
write(51,"('*p1 : initialize lpTMDPDF module')")
write(51,*) include_lpTMDPDF
write(51,"(' ')")
write(51,"('*A : ---- Main definitions ----')")
write(51,"('*p1 : Order of coefficient function')")
write(51,*) trim(lpTMDPDF_order)
write(51,"('*p2 : Use composite TMD-function definition')")
write(51,*) lpTMDPDF_IsComposite
write(51,"('*B : ---- Parameters of NP model ----')")
write(51,"('*p1 : Length of lambdaNP')")
write(51,*) lpTMDPDF_lambdaLength
write(51,"('*p2 : Initialization parameters (in column)')")
do i=1,lpTMDPDF_lambdaLength
write(51,*) lpTMDPDF_lambdaNP_init(i)
end do
write(51,"('*C : ---- Numerical evaluation parameters ----')")
write(51,"('*p1 : Tolerance (relative tolerance of convolution integral)')")
write(51,*) lpTMDPDF_tolerance
write(51,"('*p2 : Maximum number of iterations (for adaptive integration)')")
write(51,*) lpTMDPDF_maxIteration
write(51,"('*D : ---- Grid preparation options ----')")
write(51,"('*p1 : Prepare grid')")
write(51,*) lpTMDPDF_makeGrid
write(51,"('*p2 : Include gluon TMDs into the grid')")
write(51,*) lpTMDPDF_withGluon
write(51,"('*p3 : total number of PDFs added to the grid (by default it coincides with number of initialized PDFs)')")
write(51,*) number_of_lpPDFs
write(51,"('*p4 : reference numbers for hadrons (by default it coincides with references for PDFs)')")
call writeShortIntegerList(51,enumeration_of_lpPDFs)
write(51,"('*E : ---- Parameters of grid ----')")
write(51,"('*p1 : xGrid_Min the minimal value of x in grid (max=1), make sure that it is enough)')")
write(51,*) lpTMDPDF_grid_xMin
write(51,"('*p2 : the maximum bT in grid (min=0), for larger approximate extrapolation is done')")
write(51,*) lpTMDPDF_grid_bMax
write(51,"('*p3 : GridSizeX (250 is enough for 10^-8 presicion, for grid up to 10^-5)')")
write(51,*) lpTMDPDF_grid_SizeX
write(51,"('*p4 : GridSizeB (750 is enough for ~10^-6 presicion, 500 for 10^-5 presicion)')")
write(51,*) lpTMDPDF_grid_SizeB
write(51,"('*p5 : slope scale of griding at smaller b (better not to change it :) )')")
write(51,*) lpTMDPDF_grid_slope
write(51,"(' ')")
write(51,"(' ')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('# ---- PARAMETERS OF SiversTMDPDF -----')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('*12 :')")
write(51,"('*p1 : initialize SiversTMDPDF module')")
write(51,*) include_SiversTMDPDF
write(51,"(' ')")
write(51,"('*A : ---- Main definitions ----')")
write(51,"('*p1 : Order of coefficient function')")
write(51,*) trim(SiversTMDPDF_order)
write(51,"('*p2 : Use composite TMD-function definition')")
write(51,*) SiversTMDPDF_IsComposite
write(51,"('*B : ---- Parameters of NP model ----')")
write(51,"('*p1 : Length of lambdaNP')")
write(51,*) SiversTMDPDF_lambdaLength
write(51,"('*p2 : Initialization parameters (in column)')")
do i=1,SiversTMDPDF_lambdaLength
write(51,*) SiversTMDPDF_lambdaNP_init(i)
end do
write(51,"('*C : ---- Numerical evaluation parameters ----')")
write(51,"('*p1 : Tolerance (relative tolerance of convolution integral)')")
write(51,*) SiversTMDPDF_tolerance
write(51,"('*p2 : Maximum number of iterations (for adaptive integration)')")
write(51,*) SiversTMDPDF_maxIteration
write(51,"('*D : ---- Grid preparation options ----')")
write(51,"('*p1 : Prepare grid')")
write(51,*) SiversTMDPDF_makeGrid
write(51,"('*p2 : Include gluon TMDs into the grid')")
write(51,*) SiversTMDPDF_withGluon
write(51,"('*p3 : total number of PDFs added to the grid')")
write(51,*) number_of_SiversTMDPDFs
write(51,"('*p4 : reference numbers for hadrons')")
call writeShortIntegerList(51,enumeration_of_SiversTMDPDFs)
write(51,"('*E : ---- Parameters of grid ----')")
write(51,"('*p1 : xGrid_Min the minimal value of x in grid (max=1), make sure that it is enough)')")
write(51,*) SiversTMDPDF_grid_xMin
write(51,"('*p2 : the maximum bT in grid (min=0), for larger approximate extrapolation is done')")
write(51,*) SiversTMDPDF_grid_bMax
write(51,"('*p3 : GridSizeX (250 is enough for 10^-8 presicion, for grid up to 10^-5)')")
write(51,*) SiversTMDPDF_grid_SizeX
write(51,"('*p4 : GridSizeB (750 is enough for ~10^-6 presicion, 500 for 10^-5 presicion)')")
write(51,*) SiversTMDPDF_grid_SizeB
write(51,"('*p5 : slope scale of griding at smaller b (better not to change it :) )')")
write(51,*) SiversTMDPDF_grid_slope
write(51,"(' ')")
write(51,"(' ')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('# ---- PARAMETERS OF wgtTMDPDF -----')")
write(51,"('# ---------------------------------------------------------------------------')")
write(51,"('*13 :')")
write(51,"('*p1 : initialize wgtTMDPDF module')")
write(51,*) include_wgtTMDPDF
write(51,"(' ')")
write(51,"('*A : ---- Main definitions ----')")
write(51,"('*p1 : Order of coefficient function (for tw-2 part only)')")
write(51,*) trim(wgtTMDPDF_order)
write(51,"('*p2 : Use composite TMD-function definition')")
write(51,*) wgtTMDPDF_IsComposite
write(51,"('*B : ---- Parameters of NP model ----')")
write(51,"('*p1 : Length of lambdaNP (used in fNP and tw-3 part)')")
write(51,*) wgtTMDPDF_lambdaLength
write(51,"('*p2 : Initialization parameters (in column)')")
do i=1,wgtTMDPDF_lambdaLength
write(51,*) wgtTMDPDF_lambdaNP_init(i)
end do
write(51,"('*C : ---- Numerical evaluation parameters ----')")
write(51,"('*p1 : Tolerance (relative tolerance of convolution integral)')")
write(51,*) wgtTMDPDF_tolerance
write(51,"('*p2 : Maximum number of iterations (for adaptive integration)')")
write(51,*) wgtTMDPDF_maxIteration
write(51,"('*D : ---- Grid preparation options ----')")
write(51,"('*p1 : Prepare grid')")
write(51,*) wgtTMDPDF_makeGrid
write(51,"('*p2 : Include gluon TMDs into the grid')")
write(51,*) wgtTMDPDF_withGluon
write(51,"('*p3 : total number of PDFs added to the grid')")
write(51,*) number_of_wgtTMDPDFs
write(51,"('*p4 : reference numbers for hadrons')")
call writeShortIntegerList(51,enumeration_of_wgtTMDPDFs)
write(51,"('*E : ---- Parameters of grid ----')")
write(51,"('*p1 : xGrid_Min the minimal value of x in grid (max=1), make sure that it is enough)')")
write(51,*) wgtTMDPDF_grid_xMin
write(51,"('*p2 : the maximum bT in grid (min=0), for larger approximate extrapolation is done')")
write(51,*) wgtTMDPDF_grid_bMax
write(51,"('*p3 : GridSizeX (250 is enough for 10^-8 presicion, for grid up to 10^-5)')")
write(51,*) wgtTMDPDF_grid_SizeX
write(51,"('*p4 : GridSizeB (750 is enough for ~10^-6 presicion, 500 for 10^-5 presicion)')")
write(51,*) wgtTMDPDF_grid_SizeB
write(51,"('*p5 : slope scale of griding at smaller b (better not to change it :) )')")
write(51,*) wgtTMDPDF_grid_slope
CLOSE (51, STATUS='KEEP')
if(outputLevel>1) write(*,*) 'aTMDe_setup: Constans file is made.'
end subroutine CreateConstantsFile
subroutine ReadConstantsFile(file,prefix)
character(len=*)::file
character(len=*),optional::prefix
character(len=516)::path
!!!! this is version of input file. it is read first and then result is compared with the current ID
!!!! It suppose to make compatibility betwen versions
integer::FILEversion
integer::i
logical::file_exists
if(outputLevel>2) write(*,*) '-----------------------------------'
if(outputLevel>1) write(*,*) 'aTMDe_setup: Reading setup file ...'
if(present(prefix)) then
path=trim(adjustl(prefix))//trim(adjustr(file))
else
path=trim(adjustr(file))
end if
if(outputLevel>1) write(*,*)' path:', color(trim(path),c_yellow)
INQUIRE(FILE=path, EXIST=file_exists)
if(.not.file_exists) then
write(*,*) color('Constans file is not found.',c_red_bold)
return
end if
OPEN(UNIT=51, FILE=path, ACTION="read", STATUS="old")
!# ---- GLOBAL PARAMETERS -----
call MoveTO(51,'*0 ')
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) FILEversion
if(FILEversion>inputVer) then
if(outputLevel>0) write(*,*) color('aTMDe_setup: Version of input file(',c_red_bold), &
color(int4ToStr(FILEversion),c_red_bold),&
color(') newer than the current version of code(',c_red_bold),&
color(int4ToStr(inputVer),c_red_bold),&
color(')',c_red_bold)
if(outputLevel>0) write(*,*) color('aTMDe_setup: UPDATE ARTEMIDE!',c_red_bold)
if(outputLevel>0) write(*,*) color('aTMDe_setup: UPDATE ARTEMIDE!',c_red_bold)
if(outputLevel>0) write(*,*) 'aTMDe_setup: Attempt to load...'
else if(FILEversion<inputVer) then
if(outputLevel>0) write(*,*) color('aTMDe_setup: Version of input file(',c_red_bold), &
color(int4ToStr(FILEversion),c_red_bold),&
color(') older than the current version of code(',c_red_bold),&
color(int4ToStr(inputVer),c_red_bold),&
color(')',c_red_bold)
if(outputLevel>0) write(*,*) 'aTMDe_setup: Attempt to load...'
end if
call MoveTO(51,'*p2 ')
read(51,*) outputLevel
call MoveTO(51,'*p3 ')
read(51,*) messageTrigger
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) hc2
if(FILEversion>=11) then
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) initialize_NParrays
end if
!# ---- PARAMETERS OF QCDinput -----
call MoveTO(51,'*1 ')
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) mCHARM
call MoveTO(51,'*p2 ')
read(51,*) mBOTTOM
if(FILEversion>3) then
call MoveTO(51,'*p3 ')
read(51,*) mTOP
end if
!-------PDF for uTMDPDF
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) number_of_uPDFs
if(allocated(enumeration_of_uPDFs)) deallocate(enumeration_of_uPDFs)
if(allocated(replicas_of_uPDFs)) deallocate(replicas_of_uPDFs)
if(allocated(sets_of_uPDFs)) deallocate(sets_of_uPDFs)
allocate(enumeration_of_uPDFs(1:number_of_uPDFs))
allocate(sets_of_uPDFs(1:number_of_uPDFs))
allocate(replicas_of_uPDFs(1:number_of_uPDFs))
call MoveTO(51,'*p2 ')
read(51,*) enumeration_of_uPDFs
call MoveTO(51,'*p3 ')
do i=1,number_of_uPDFs
read(51,*) sets_of_uPDFs(i)
end do
call MoveTO(51,'*p4 ')
read(51,*) replicas_of_uPDFs
!-------FF for uTMDFF
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) number_of_uFFs
if(allocated(enumeration_of_uFFs)) deallocate(enumeration_of_uFFs)
if(allocated(replicas_of_uFFs)) deallocate(replicas_of_uFFs)
if(allocated(sets_of_uFFs)) deallocate(sets_of_uFFs)
allocate(enumeration_of_uFFs(1:number_of_uFFs))
allocate(sets_of_uFFs(1:number_of_uFFs))
allocate(replicas_of_uFFs(1:number_of_uFFs))
call MoveTO(51,'*p2 ')
read(51,*) enumeration_of_uFFs
call MoveTO(51,'*p3 ')
do i=1,number_of_uFFs
read(51,*) sets_of_uFFs(i)
end do
call MoveTO(51,'*p4 ')
read(51,*) replicas_of_uFFs
if(FILEversion>=3) then
!-------PDF for lpTMDPDF
call MoveTO(51,'*D ')
call MoveTO(51,'*p1 ')
read(51,*) number_of_lpPDFs
if(allocated(enumeration_of_lpPDFs)) deallocate(enumeration_of_lpPDFs)
if(allocated(replicas_of_lpPDFs)) deallocate(replicas_of_lpPDFs)
if(allocated(sets_of_lpPDFs)) deallocate(sets_of_lpPDFs)
allocate(enumeration_of_lpPDFs(1:number_of_lpPDFs))
allocate(sets_of_lpPDFs(1:number_of_lpPDFs))
allocate(replicas_of_lpPDFs(1:number_of_lpPDFs))
call MoveTO(51,'*p2 ')
read(51,*) enumeration_of_lpPDFs
call MoveTO(51,'*p3 ')
do i=1,number_of_lpPDFs
read(51,*) sets_of_lpPDFs(i)
end do
call MoveTO(51,'*p4 ')
read(51,*) replicas_of_lpPDFs
end if
if(FILEversion>=18) then
!-------helicity PDF
call MoveTO(51,'*E ')
call MoveTO(51,'*p1 ')
read(51,*) number_of_hPDFs
if(allocated(enumeration_of_hPDFs)) deallocate(enumeration_of_hPDFs)
if(allocated(replicas_of_hPDFs)) deallocate(replicas_of_hPDFs)
if(allocated(sets_of_hPDFs)) deallocate(sets_of_hPDFs)
allocate(enumeration_of_hPDFs(1:number_of_hPDFs))
allocate(sets_of_hPDFs(1:number_of_hPDFs))
allocate(replicas_of_hPDFs(1:number_of_hPDFs))
call MoveTO(51,'*p2 ')
read(51,*) enumeration_of_hPDFs
call MoveTO(51,'*p3 ')
do i=1,number_of_hPDFs
read(51,*) sets_of_hPDFs(i)
end do
call MoveTO(51,'*p4 ')
read(51,*) replicas_of_hPDFs
end if
!# ---- PARAMETERS OF EWinput -----
call MoveTO(51,'*2 ')
call MoveTO(51,'*p1 ')
read(51,*) include_EWinput
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) alphaQED_MZ
call MoveTO(51,'*p2 ')
read(51,*) sW2
call MoveTO(51,'*p3 ')
read(51,*) Vckm_UD,Vckm_US,Vckm_UB
read(51,*) Vckm_CD,Vckm_CS,Vckm_CB
if(FILEversion>=14) then
call MoveTO(51,'*p4 ')
read(51,*) alphaQED_MTAU
end if
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) mZ
call MoveTO(51,'*p2 ')
read(51,*) GammaZ
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) mW
call MoveTO(51,'*p2 ')
read(51,*) GammaW
if(FILEversion>=5) then
call MoveTO(51,'*D ')
call MoveTO(51,'*p1 ')
read(51,*) mH
call MoveTO(51,'*p2 ')
read(51,*) GammaH
call MoveTO(51,'*p3 ')
read(51,*) vevH
end if
if(FILEversion>=13) then
call MoveTO(51,'*E ')
call MoveTO(51,'*p1 ')
read(51,*) mELECTRON
call MoveTO(51,'*p2 ')
read(51,*) mMUON
call MoveTO(51,'*p3 ')
read(51,*) mTAU
end if
!# ---- PARAMETERS OF TMDR -----
call MoveTO(51,'*3 ')
call MoveTO(51,'*p1 ')
read(51,*) include_TMDR
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) TMDR_order
call MoveTO(51,'*p2 ')
read(51,*) TMDR_evolutionType
if((inputVer<2 .and. TMDR_evolutionType>=4) .or. (inputVer>=14 .and. TMDR_evolutionType>=4)) then
if(outputLevel>0) write(*,*) color('aTMDe_setup: mismatch in TMDR_evolutionType (3-A-p2). Set to 3',c_red)
TMDR_evolutionType=3
end if
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) TMDR_lambdaLength
call ReNewInitializationArray(TMDR_lambdaNP_init,TMDR_lambdaLength)!!!!we need to redo (and reallocate) the initialization of the NP-array
if(FILEversion>=10) then
call MoveTO(51,'*p2 ')
do i=1,TMDR_lambdaLength
read(51,*) TMDR_lambdaNP_init(i)
end do
end if
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) TMDR_tolerance
!# ---- PARAMETERS OF uTMDPDF -----
call MoveTO(51,'*4 ')
call MoveTO(51,'*p1 ')
read(51,*) include_uTMDPDF
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) uTMDPDF_order
if(FILEversion>=12) then
call MoveTO(51,'*p2 ')
read(51,*) uTMDPDF_IsComposite
end if
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) uTMDPDF_lambdaLength
call ReNewInitializationArray(uTMDPDF_lambdaNP_init,uTMDPDF_lambdaLength)!!!!we need to redo (and reallocate) the initialization of the NP-array
if(FILEversion>=10) then
call MoveTO(51,'*p2 ')
do i=1,uTMDPDF_lambdaLength
read(51,*) uTMDPDF_lambdaNP_init(i)
end do
end if
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) uTMDPDF_tolerance
call MoveTO(51,'*p2 ')
read(51,*) uTMDPDF_maxIteration
call MoveTO(51,'*D ')
call MoveTO(51,'*p1 ')
read(51,*) uTMDPDF_makeGrid
call MoveTO(51,'*p2 ')
read(51,*) uTMDPDF_withGluon
call MoveTO(51,'*p3 ')
read(51,*) i
if(i/=number_of_uPDFs) then
if(outputLevel>0) write(*,*) ' '
if(outputLevel>0) write(*,*) color('ESSENTIAL INCONSITENCY: the number of uPDFs is unequal to the number of uTMDPDFs',c_red)
if(outputLevel>0) write(*,*) color(' information on the number of uTMDPDFs is ignored',c_red)
if(outputLevel>0) write(*,*) ' '
end if
call MoveTO(51,'*E ')
call MoveTO(51,'*p1 ')
read(51,*) uTMDPDF_grid_xMin
call MoveTO(51,'*p2 ')
read(51,*) uTMDPDF_grid_bMax
call MoveTO(51,'*p3 ')
read(51,*) uTMDPDF_grid_SizeX
call MoveTO(51,'*p4 ')
read(51,*) uTMDPDF_grid_SizeB
call MoveTO(51,'*p5 ')
read(51,*) uTMDPDF_grid_slope
!# ---- PARAMETERS OF uTMDFF -----
call MoveTO(51,'*5 ')
call MoveTO(51,'*p1 ')
read(51,*) include_uTMDFF
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) uTMDFF_order
if(FILEversion>=12) then
call MoveTO(51,'*p2 ')
read(51,*) uTMDFF_IsComposite
end if
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) uTMDFF_lambdaLength
call ReNewInitializationArray(uTMDFF_lambdaNP_init,uTMDFF_lambdaLength)!!!!we need to redo (and reallocate) the initialization of the NP-array
if(FILEversion>=10) then
call MoveTO(51,'*p2 ')
do i=1,uTMDFF_lambdaLength
read(51,*) uTMDFF_lambdaNP_init(i)
end do
end if
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) uTMDFF_tolerance
call MoveTO(51,'*p2 ')
read(51,*) uTMDFF_maxIteration
call MoveTO(51,'*D ')
call MoveTO(51,'*p1 ')
read(51,*) uTMDFF_makeGrid
call MoveTO(51,'*p2 ')
read(51,*) uTMDFF_withGluon
call MoveTO(51,'*p3 ')
read(51,*) i
if(i/=number_of_uFFs) then
if(outputLevel>0) write(*,*) ' '
if(outputLevel>0) write(*,*) color('ESSENTIAL INCONSITENCY: number of uFFs unequal uTMDFFs',c_red)
if(outputLevel>0) write(*,*) color(' information on number of uTMDFFs ignored',c_red)
if(outputLevel>0) write(*,*) ' '
end if
call MoveTO(51,'*E ')
call MoveTO(51,'*p1 ')
read(51,*) uTMDFF_grid_xMin
call MoveTO(51,'*p2 ')
read(51,*) uTMDFF_grid_bMax
call MoveTO(51,'*p3 ')
read(51,*) uTMDFF_grid_SizeX
call MoveTO(51,'*p4 ')
read(51,*) uTMDFF_grid_SizeB
call MoveTO(51,'*p5 ')
read(51,*) uTMDFF_grid_slope
!# ---- PARAMETERS OF TMDs -----
call MoveTO(51,'*6 ')
call MoveTO(51,'*p1 ')
read(51,*) include_TMDs
!# ---- PARAMETERS OF TMDF -----
call MoveTO(51,'*7 ')
call MoveTO(51,'*p1 ')
read(51,*) include_TMDF
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) TMDF_tolerance
call MoveTO(51,'*p2 ')
read(51,*) TMDF_OGATAh
if(FILEversion>=16) then
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) TMDF_mass
end if
!# ---- PARAMETERS OF TMDs-inKT -----
call MoveTO(51,'*8 ')
call MoveTO(51,'*p1 ')
read(51,*) include_TMDs_inKT
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) TMDs_inKT_tolerance
call MoveTO(51,'*p2 ')
read(51,*) TMDs_inKT_OGATAh
!# ---- PARAMETERS OF TMDX-DY -----
call MoveTO(51,'*9 ')
call MoveTO(51,'*p1 ')
read(51,*) include_TMDX_DY
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) TMDX_DY_order
call MoveTO(51,'*p2 ')
read(51,*) TMDX_DY_exactX1X2
if(FILEversion>=6) then
call MoveTO(51,'*p3 ')
read(51,*) TMDX_DY_piResum
end if
if(FILEversion>=17) then
call MoveTO(51,'*p4 ')
read(51,*) TMDX_DY_exactScale
end if
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) TMDX_DY_tolerance
call MoveTO(51,'*p2 ')
read(51,*) TMDX_DY_ptSECTION
if(FILEversion>=21) then
call MoveTO(51,'*p3 ')
read(51,*) TMDX_DY_maxQbinSize
end if
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) TMDX_DY_numProc
!# ---- PARAMETERS OF TMDX-SIDIS -----
call MoveTO(51,'*10 ')
call MoveTO(51,'*p1 ')
read(51,*) include_TMDX_SIDIS
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) TMDX_SIDIS_order
call MoveTO(51,'*p2 ')
read(51,*) TMDX_SIDIS_qTcorr
call MoveTO(51,'*p3 ')
read(51,*) TMDX_SIDIS_M1corr
call MoveTO(51,'*p4 ')
read(51,*) TMDX_SIDIS_M2corr
if(FILEversion>=9) then
call MoveTO(51,'*p5 ')
read(51,*) TMDX_SIDIS_qTinX1Z1corr
end if
if(FILEversion>=20) then
call MoveTO(51,'*p6 ')
read(51,*) TMDX_SIDIS_exactScale
end if
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) TMDX_SIDIS_tolerance
call MoveTO(51,'*p2 ')
read(51,*) TMDX_SIDIS_ptSECTION
if(FILEversion>=7) then
call MoveTO(51,'*p3 ')
read(51,*) TMDX_SIDIS_toleranceZ
call MoveTO(51,'*p4 ')
read(51,*) TMDX_SIDIS_methodZ
end if
if(FILEversion>=8) then
call MoveTO(51,'*p5 ')
read(51,*) TMDX_SIDIS_toleranceX
call MoveTO(51,'*p6 ')
read(51,*) TMDX_SIDIS_methodX
end if
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) TMDX_SIDIS_numProc
if(FILEversion>=3) then
!# ---- PARAMETERS OF lpTMDPDF -----
call MoveTO(51,'*11 ')
call MoveTO(51,'*p1 ')
read(51,*) include_lpTMDPDF
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) lpTMDPDF_order
if(FILEversion>=12) then
call MoveTO(51,'*p2 ')
read(51,*) lpTMDPDF_IsComposite
end if
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) lpTMDPDF_lambdaLength
call ReNewInitializationArray(lpTMDPDF_lambdaNP_init,lpTMDPDF_lambdaLength)!!!!we need to redo (and reallocate) the initialization of the NP-array
if(FILEversion>=10) then
call MoveTO(51,'*p2 ')
do i=1,lpTMDPDF_lambdaLength
read(51,*) lpTMDPDF_lambdaNP_init(i)
end do
end if
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) lpTMDPDF_tolerance
call MoveTO(51,'*p2 ')
read(51,*) lpTMDPDF_maxIteration
call MoveTO(51,'*D ')
call MoveTO(51,'*p1 ')
read(51,*) lpTMDPDF_makeGrid
call MoveTO(51,'*p2 ')
read(51,*) lpTMDPDF_withGluon
call MoveTO(51,'*p3 ')
read(51,*) i
if(i/=number_of_lpPDFs) then
if(outputLevel>0) write(*,*) ' '
if(outputLevel>0) write(*,*) color(&
'ESSENTIAL INCONSITENCY: the number of lpPDFs is unequal to the number of lpTMDPDFs',c_red)
if(outputLevel>0) write(*,*) color(' information on the number of lpTMDPDFs is ignored',c_red)
if(outputLevel>0) write(*,*) ' '
end if
call MoveTO(51,'*E ')
call MoveTO(51,'*p1 ')
read(51,*) lpTMDPDF_grid_xMin
call MoveTO(51,'*p2 ')
read(51,*) lpTMDPDF_grid_bMax
call MoveTO(51,'*p3 ')
read(51,*) lpTMDPDF_grid_SizeX
call MoveTO(51,'*p4 ')
read(51,*) lpTMDPDF_grid_SizeB
call MoveTO(51,'*p5 ')
read(51,*) lpTMDPDF_grid_slope
else
write(*,*) 'aTMDe_setup: parameters of lin.pol.gluons set default. (const-ver. < 3)'
end if
if(FILEversion>=15) then
!# ---- PARAMETERS OF SiversTMDPDF -----
call MoveTO(51,'*12 ')
call MoveTO(51,'*p1 ')
read(51,*) include_SiversTMDPDF
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) SiversTMDPDF_order
call MoveTO(51,'*p2 ')
read(51,*) SiversTMDPDF_IsComposite
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) SiversTMDPDF_lambdaLength
call ReNewInitializationArray(SiversTMDPDF_lambdaNP_init,SiversTMDPDF_lambdaLength)!!!!we need to redo (and reallocate) the initialization of the NP-array
call MoveTO(51,'*p2 ')
do i=1,SiversTMDPDF_lambdaLength
read(51,*) SiversTMDPDF_lambdaNP_init(i)
end do
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) SiversTMDPDF_tolerance
call MoveTO(51,'*p2 ')
read(51,*) SiversTMDPDF_maxIteration
call MoveTO(51,'*D ')
call MoveTO(51,'*p1 ')
read(51,*) SiversTMDPDF_makeGrid
call MoveTO(51,'*p2 ')
read(51,*) SiversTMDPDF_withGluon
call MoveTO(51,'*p3 ')
read(51,*) number_of_SiversTMDPDFs
if(allocated(enumeration_of_SiversTMDPDFs)) deallocate(enumeration_of_SiversTMDPDFs)
allocate(enumeration_of_SiversTMDPDFs(1:number_of_SiversTMDPDFs))
call MoveTO(51,'*p4 ')
read(51,*) enumeration_of_SiversTMDPDFs
call MoveTO(51,'*E ')
call MoveTO(51,'*p1 ')
read(51,*) SiversTMDPDF_grid_xMin
call MoveTO(51,'*p2 ')
read(51,*) SiversTMDPDF_grid_bMax
call MoveTO(51,'*p3 ')
read(51,*) SiversTMDPDF_grid_SizeX
call MoveTO(51,'*p4 ')
read(51,*) SiversTMDPDF_grid_SizeB
call MoveTO(51,'*p5 ')
read(51,*) SiversTMDPDF_grid_slope
else
write(*,*) 'aTMDe_setup: parameters of Sivers functions set default. (const-ver. < 15)'
end if
if(FILEversion>=19) then
!# ---- PARAMETERS OF wgtTMDPDF -----
call MoveTO(51,'*13 ')
call MoveTO(51,'*p1 ')
read(51,*) include_wgtTMDPDF
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) wgtTMDPDF_order
call MoveTO(51,'*p2 ')
read(51,*) wgtTMDPDF_IsComposite
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) wgtTMDPDF_lambdaLength
call ReNewInitializationArray(wgtTMDPDF_lambdaNP_init,wgtTMDPDF_lambdaLength)!!!!we need to redo (and reallocate) the initialization of the NP-array
call MoveTO(51,'*p2 ')
do i=1,wgtTMDPDF_lambdaLength
read(51,*) wgtTMDPDF_lambdaNP_init(i)
end do
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) wgtTMDPDF_tolerance
call MoveTO(51,'*p2 ')
read(51,*) wgtTMDPDF_maxIteration
call MoveTO(51,'*D ')
call MoveTO(51,'*p1 ')
read(51,*) wgtTMDPDF_makeGrid
call MoveTO(51,'*p2 ')
read(51,*) wgtTMDPDF_withGluon
call MoveTO(51,'*p3 ')
read(51,*) number_of_wgtTMDPDFs
if(allocated(enumeration_of_wgtTMDPDFs)) deallocate(enumeration_of_wgtTMDPDFs)
allocate(enumeration_of_wgtTMDPDFs(1:number_of_wgtTMDPDFs))
call MoveTO(51,'*p4 ')
read(51,*) enumeration_of_wgtTMDPDFs
call MoveTO(51,'*E ')
call MoveTO(51,'*p1 ')
read(51,*) wgtTMDPDF_grid_xMin
call MoveTO(51,'*p2 ')
read(51,*) wgtTMDPDF_grid_bMax
call MoveTO(51,'*p3 ')
read(51,*) wgtTMDPDF_grid_SizeX
call MoveTO(51,'*p4 ')
read(51,*) wgtTMDPDF_grid_SizeB
call MoveTO(51,'*p5 ')
read(51,*) wgtTMDPDF_grid_slope
else
write(*,*) 'aTMDe_setup: parameters of worm-geat T functions set default. (const-ver. < 19)'
end if
CLOSE (51, STATUS='KEEP')
if(outputLevel>1) write(*,*) color('aTMDe_setup: constants-file loaded sucessfully.',c_green_bold)
end subroutine ReadConstantsFile
!--------------------------------------------------------------
!!!! this subtroutine kill re allocate the array, and sets its values as (2,0,0,0,...)
!!!! used for empty initialization arrays
subroutine ReNewInitializationArray(arr,n)
real(dp),allocatable,intent(out)::arr(:)
integer::n,i
if(allocated(arr)) deallocate(arr)
allocate(arr(1:n))
arr(1)=2d0
do i=2,n
arr(i)=0d0
end do
end subroutine ReNewInitializationArray
end module aTMDe_Setup
| 67,371 | 39.806784 | 170 | f90 |
artemide-public | artemide-public-master/src/lpTMDPDF.f90 | ! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 2.01
!
! Evaluation of the linearly-polarized gluon TMD PDF at low normalization point in zeta-prescription.
!
! if you use this module please, quote ????.????
!
!
! A.Vladimirov (13.06.2016)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module lpTMDPDF
use aTMDe_Numerics
use IO_functions
use QCDinput
use lpTMDPDF_model
implicit none
!------------------------LOCALs -----------------------------------------------
private
!Current version of module
character (len=8),parameter :: moduleName="lpTMDPDF"
character (len=5),parameter :: version="v2.05"
!Last appropriate version of constants-file
integer,parameter::inputver=12
INCLUDE 'Tables/G7K15.f90'
!--------------------------------Working variables-----------------------------------------------!--- general
logical:: started=.false.
!! Level of output
!! 0=only critical
!! 1=initialization details
!! 2=WARNINGS
integer::outputLevel=2
!! variable that count number of WRNING mesagges. In order not to spam too much
integer::messageTrigger=6
!!! The global order which is used in programm
! it is set by SetOrderForC subroutine
! 0=LO, 1=NLO, 2=NNLO
integer :: order_global
!
integer::lambdaNPlength
real(dp),dimension(:),allocatable::lambdaNP
real(dp),dimension(:),allocatable::lambdaNP_grid !!! this is the value of lambda on which the grid is build
real(dp)::c4_global!!!this is the variation constant for mu_OPE
!!!Parameteris of numerics
real(dp) :: tolerance=0.0001d0!!! relative tolerance of the integration
integer :: maxIteration=5000
!------------------------------Variables for coefficient function etc-------------------------------
!!!!!Coefficient lists
integer,parameter::parametrizationLength=14
!! { 1/x, log[x]/x !exact
!! Log[x], log[x]^2 !exact
!! 1 (exact), (1-x), x(1-x)
!! (1-x)Log[1-x]/x, x Log[x], x^2 Log[x]
!! (1-x) Log[1-x], (1-x)^2 Log[1-x]
!! Log[x]^2Log[1-x],Log[x]Log[1-x]^2
!! The Lmu and Nf parts are exact the later parts are fitted
real(dp),dimension(1:parametrizationLength) :: Coeff_q_q, Coeff_q_g, Coeff_g_q, Coeff_g_g, Coeff_q_qb, Coeff_q_qp
!! This is list of coefficeints for the encoding the singular at x->1
!! { 1/(1-x), (Log[1-x]/(1-x))_+, (Log[1-x]^2/(1-x))_+,}
!! they are zero!!!
real(dp), dimension(1:3) :: CoeffSing1_q_q,CoeffSing1_g_g
integer :: counter,messageCounter
INCLUDE 'Code/Twist2/Twist2Convolution-VAR.f90'
INCLUDE 'Code/Grids/TMDGrid-B-VAR.f90'
!!--------------------------------- variables for the griding the TMD.---------------------------------------------
logical :: gridReady!!!!indicator that grid is ready to use. If it is .true., the TMD calculated from the grid
logical :: prepareGrid!!!idicator that grid must be prepared
logical,parameter :: withGluon=.true.!!!indicator the gluon is needed in the grid
logical :: IsFnpZdependent !!! indicator that the grid must be recalculated with the change of Lambda
!!--------------------------------- variables for hadron composition---------------------------------------------
integer::numberOfHadrons !!!number of hadrons/components
integer,dimension(:),allocatable::hadronsInGRID !!!list of hadron to be pre-grid
logical::IsComposite=.false. !!!flag to use the composite TMD
!!-----------------------------------------------Public interface---------------------------------------------------
public::lpTMDPDF_Initialize,lpTMDPDF_SetLambdaNP,lpTMDPDF_SetScaleVariation,lpTMDPDF_resetGrid,lpTMDPDF_SetPDFreplica
public::lpTMDPDF_IsInitialized,lpTMDPDF_CurrentNPparameters
public::lpTMDPDF_lowScale50
! public::CheckCoefficient
! public::mu_OPE
interface lpTMDPDF_SetLambdaNP
module procedure lpTMDPDF_SetLambdaNP_usual,lpTMDPDF_SetReplica_optional
end interface
contains
INCLUDE 'Code/Twist2/Twist2Convolution.f90'
INCLUDE 'Code/Grids/TMDGrid-B.f90'
!! Coefficient function
INCLUDE 'Code/lpTMDPDF/coeffFunc.f90'
!! Computation of TMDs
INCLUDE 'Code/lpTMDPDF/convolutions.f90'
!! Testing the model
INCLUDE 'Code/lpTMDPDF/modelTest.f90'
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Interface subroutines!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
function lpTMDPDF_IsInitialized()
logical::lpTMDPDF_IsInitialized
lpTMDPDF_IsInitialized=started
end function lpTMDPDF_IsInitialized
!! Initialization of the package
subroutine lpTMDPDF_Initialize(file,prefix)
character(len=*)::file
character(len=*),optional::prefix
character(len=300)::path,line
logical::initRequired
character(len=8)::orderMain
logical::bSTAR_lambdaDependent,dummyLogical
integer::i,FILEver
if(started) return
if(.not.QCDinput_IsInitialized()) then
if(outputLevel>1) write(*,*) '.. initializing QCDinput (from ',moduleName,')'
if(present(prefix)) then
call QCDinput_Initialize(file,prefix)
else
call QCDinput_Initialize(file)
end if
end if
if(present(prefix)) then
path=trim(adjustl(prefix))//trim(adjustr(file))
else
path=trim(adjustr(file))
end if
OPEN(UNIT=51, FILE=path, ACTION="read", STATUS="old")
!!! Search for output level
call MoveTO(51,'*0 ')
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) FILEver
if(FILEver<inputver) then
write(*,*) 'artemide.'//trim(moduleName)//': const-file version is too old.'
write(*,*) ' Update the const-file with artemide.setup'
write(*,*) ' '
stop
end if
call MoveTO(51,'*p2 ')
read(51,*) outputLevel
if(outputLevel>1) write(*,*) '--------------------------------------------- '
if(outputLevel>1) write(*,*) 'artemide.',moduleName,version,': initialization started ... '
call MoveTO(51,'*p3 ')
read(51,*) messageTrigger
call MoveTO(51,'*11 ')
call MoveTO(51,'*p1 ')
read(51,*) initRequired
if(.not.initRequired) then
if(outputLevel>1) write(*,*)'artemide.',moduleName,': initialization is not required. '
started=.false.
return
end if
! ---- ORDER
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) orderMain
SELECT CASE(trim(orderMain))
CASE ("NA")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NA',color(" (TMD=fNP)",c_yellow)
order_global=-50
CASE ("LO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: LO'
order_global=0
if(outputLevel>0)write(*,*) WarningString('Initialize: lin.pol.gluon at LO are zero!',moduleName)
CASE ("LO+")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: LO+'
order_global=0
if(outputLevel>0)write(*,*) WarningString('Initialize: lin.pol.gluon at LO are zero!',moduleName)
CASE ("NLO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NLO'
order_global=1
CASE ("NLO+")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NLO+'
order_global=1
CASE ("NNLO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NNLO'
order_global=2
CASE ("NNLO+")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NNLO+'
order_global=2
CASE DEFAULT
if(outputLevel>0) &
write(*,*) WarningString('Initialize: unknown order for coefficient function. Switch to NLO.',moduleName)
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NLO'
order_global=1
END SELECT
if(outputLevel>2 .and. order_global>-1) write(*,'(A,I1)') ' | Coef.func. =as^',order_global
!------ Compositeness
call MoveTO(51,'*p2 ')
read(51,*) IsComposite
if(outputLevel>2) then
if(IsComposite) then
write(*,'(A,I1)') ' | Use compsite =TRUE'
else
write(*,'(A,I1)') ' | Use compsite =FALSE'
end if
end if
!-------------parameters of NP model
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) lambdaNPlength
if(outputLevel>2) write(*,'(A,I3)') ' Number of NP parameters =',lambdaNPlength
if(lambdaNPlength<=0) then
write(*,*) ErrorString('Initialize: number of non-pertrubative &
parameters should be >=1. Check the constants-file. Evaluation STOP',moduleName)
stop
end if
allocate(lambdaNP(1:lambdaNPlength))
call MoveTO(51,'*p2 ')
do i=1,lambdaNPlength
read(51,*) lambdaNP(i)
end do
!-------------Numeric parameters
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) tolerance
call MoveTO(51,'*p2 ')
read(51,*) maxIteration
if(outputLevel>2) then
write(*,'(A,ES10.3)') ' | tolerance =',tolerance
write(*,'(A,ES10.3)') ' | max iteration =',REAL(maxIteration)
end if
!-------------Make grid options
call MoveTO(51,'*D ')
call MoveTO(51,'*p1 ')
read(51,*) prepareGrid
call MoveTO(51,'*p2 ')
read(51,*) dummyLogical
if(.not.dummyLogical) then
if(outputLevel>0) write(*,*) WarningString('Initialize:&
gluon option is switched ON (otherwise there is no reason to evaluate it)',moduleName)
end if
call MoveTO(51,'*p3 ')
read(51,*) numberOfHadrons
allocate(hadronsInGRID(1:numberOfHadrons))
call MoveTO(51,'*p4 ')
read(51,*) hadronsInGRID
!-------------Parameters of grid
call MoveTO(51,'*E ')
call MoveTO(51,'*p1 ')
read(51,*) xGrid_Min
call MoveTO(51,'*p2 ')
read(51,*) bGrid_Max
call MoveTO(51,'*p3 ')
read(51,*) GridSizeX
call MoveTO(51,'*p4 ')
read(51,*) GridSizeB
call MoveTO(51,'*p5 ')
read(51,*) slope
if(outputLevel>2) then
write(*,*) 'Grid options:'
write(*,'(A,ES10.3)') ' | xGrid_Min =',xGrid_Min
write(*,'(A,ES10.3)') ' | bGrid_Max =',bGrid_Max
write(*,'(A,I6,A,I6,A)') ' | (GridSizeX,GridSizeB) =(',GridSizeX,',',GridSizeB,')'
write(*,'(A,F6.3)') ' | slope =',slope
write(*,'(A,I3)') ' | hadrons to grid =',numberOfHadrons
write(*,*) ' | list of hadrons in grid =(',hadronsInGRID,')'
end if
CLOSE (51, STATUS='KEEP')
allocate(gridMain(0:GridSizeX,0:GridSizeB,-5:5,1:numberOfHadrons))
allocate(boundaryValues(0:GridSizeX,-5:5,1:numberOfHadrons))
allocate(lambdaNP_grid(1:lambdaNPlength))
c4_global=1d0
call ModelInitialization(lambdaNP)
!!!!!!!Checking the x-dependance of muOPE
IsMuXdependent=testMU()
if(IsMuXdependent) then
if(outputLevel>2) write(*,*) 'arTeMiDe.lpTMDPDF: mu OPE is dependent on x'
else
if(outputLevel>2) write(*,*) 'arTeMiDe.lpTMDPDF: mu OPE is independent on x'
end if
!!!!!!!Checking the lambda-dependance of bSTAR
bSTAR_lambdaDependent=testbSTAR()
if(bSTAR_lambdaDependent) then
if(outputLevel>2) write(*,*) 'arTeMiDe.lpTMDPDF: bSTAR is dependent on lambda'
else
if(outputLevel>2) write(*,*) 'arTeMiDe.lpTMDPDF: bSTAR is independent on lambda'
end if
!!!!!!!Checking the x-dependance of FNP
IsFnpZdependent=TestFNP()
gridReady=.false.
if(IsFnpZdependent) then
if(outputLevel>2) write(*,*) 'arTeMiDe.lpTMDPDF: FNP is dependent on z'
else
if(outputLevel>2) write(*,*) 'arTeMiDe.lpTMDPDF: FNP is independent on z'
end if
!!! if fnp depende on z or bSTAR depeds on lambda
!!! grid must be recalculate ech time. It canbe saved to single IsFnpZdependent
if(IsFnpZdependent .or. bSTAR_lambdaDependent) then
IsFnpZdependent=.true.
if(outputLevel>2) write(*,*) 'arTeMiDe.lpTMDPDF: ............. convolution is lambda sensitive.'
end if
started=.true.
messageCounter=0
if(outputLevel>0) write(*,*) color('----- arTeMiDe.lpTMDPDF '//trim(version)//': .... initialized',c_green)
if(outputLevel>1) write(*,*) ' '
end subroutine lpTMDPDF_Initialize
!! call for parameters from the model
!! gluonRequired option is ignored
subroutine lpTMDPDF_SetReplica_optional(num,buildGrid, gluonRequired)
integer:: num
logical,optional:: buildGrid,gluonRequired
real(dp),allocatable::NParray(:)
call GetReplicaParameters(num,NParray)
if(present(buildGrid)) then
call lpTMDPDF_SetLambdaNP_usual(NParray,buildGrid=buildGrid)
else
call lpTMDPDF_SetLambdaNP_usual(NParray)
end if
end subroutine lpTMDPDF_SetReplica_optional
!! call QCDinput to change the PDF replica number
!! unset the grid, since it should be recalculated fro different PDF replica.
subroutine lpTMDPDF_SetPDFreplica(rep,hadron)
integer:: rep,hadron
logical::newPDF
call QCDinput_SetlpPDFreplica(rep,hadron,newPDF)
if(newPDF) then
gridReady=.false.
call lpTMDPDF_resetGrid()
else
if(outputLevel>1) write(*,"('arTeMiDe ',A,': replica of PDF (',I4,' is the same as the used one. Nothing is done!')") &
moduleName, rep
end if
end subroutine lpTMDPDF_SetPDFreplica
!!!Sets the non-pertrubative parameters lambda
!!! carries additionl option to build the grid
!!! if need to build grid, specify the gluon required directive.
!!! gluon gluonRequired option is ignored
subroutine lpTMDPDF_SetLambdaNP_usual(lambdaIN,buildGrid, gluonRequired)
real(dp),intent(in)::lambdaIN(:)
logical,optional :: buildGrid,gluonRequired
real(dp),dimension(1:lambdaNPlength)::lambdaOLD
logical::IsNewValues
integer::i,ll
messageCounter=0
if(present(buildGrid)) prepareGrid=buildGrid
ll=size(lambdaIN)
if(ll<lambdaNPlength) then
if(outputLevel>0) write(*,"(A,I3,A,I3,')')")&
WarningString('SetLambdaNP:length of lambdaNP(',moduleName),&
ll,color(') is less then requred (',c_red),lambdaNPlength
if(outputLevel>0) write(*,*)color(' Rest parameters are replaced by zeros!',c_red)
lambdaNP=0d0*lambdaNP
lambdaNP(1:ll)=lambdaIN(1:ll)
else if (ll>lambdaNPlength) then
if(outputLevel>0) write(*,"(A,I3,A,I3,')')")&
WarningString('SetLambdaNP:length of lambdaNP(',moduleName),&
ll,color(') is greater then requred (',c_red),lambdaNPlength
if(outputLevel>0) write(*,*)color(' Array is truncated!',c_red)
lambdaNP(1:lambdaNPlength)=lambdaIN(1:lambdaNPlength)
else
lambdaOLD=lambdaNP
lambdaNP=lambdaIN
end if
lambdaOLD=lambdaNP
lambdaNP=lambdaIN
IsNewValues=.false.
do i=1,lambdaNPlength
if(ABS(lambdaNP(i)-lambdaOLD(i))>10d-10) then
IsNewValues=.true.
exit
end if
end do
if(IsNewValues.and.(outputLevel>2)) write(*,*) 'arTeMiDe.',moduleName,': NPparameters reset = (',lambdaNP,')'
call ModelUpdate(lambdaNP)
!! further if's are only for griding
if(prepareGrid) then !!!grid is requred
if(IsNewValues) then !! values are new
if(gridReady) then !!! grid is already build
if(IsFnpZdependent) then !!! check the z-dependance of FNP
!! if it is z- dependent, rebuild the grid
gridReady=.false.
call MakeGrid()
gridReady=.true.
else !!! if z-Independent just do nothing.
if(outputLevel>2) write(*,*) 'arTeMiDe.',moduleName,': the values are to be restored from the initial grid'
end if
else !!! grid is not ready (how comes?)
call MakeGrid()
gridReady=.true.
end if
else !! values are old
if(gridReady) then !!! grid is already build
!!!nothing to do
else!!rare option then parameters are not new but grit is not build
if(outputLevel>2) write(*,*) 'arTeMiDe.',moduleName,': parameters are not reset. But grid is not ready.'
call MakeGrid()
gridReady=.true.
end if
end if
else
gridReady=.false.
end if
end subroutine lpTMDPDF_SetLambdaNP_usual
!!! returns current value of NP parameters
subroutine lpTMDPDF_CurrentNPparameters(var)
real(dp),dimension(1:lambdaNPlength),intent(out)::var
var=lambdaNP
end subroutine lpTMDPDF_CurrentNPparameters
!!! This subroutine ask for the grid reconstruction (or destruction)
!!! gluon gluonRequired option is ignored
subroutine lpTMDPDF_resetGrid(buildGrid,gluonRequired)
logical,optional::buildGrid,gluonRequired
logical::previousState
if(present(buildGrid)) prepareGrid=buildGrid
previousState=gridReady
gridReady=.false.
!! we recalculate grid only if it was already calculated!
if(prepareGrid .and. previousState) then
if(outputLevel>1) write(*,*) 'arTeMiDe ',moduleName,': Grid Reset. with c4=',c4_global
call MakeGrid()
gridReady=.true.
end if
end subroutine lpTMDPDF_resetGrid
!!!! this routine set the variations of scales
!!!! it is used for the estimation of errors
subroutine lpTMDPDF_SetScaleVariation(c4_in)
real(dp),intent(in)::c4_in
if(c4_in<0.1d0 .or. c4_in>10.d0) then
if(outputLevel>0) write(*,*) WarningString('variation in c4 is enourmous. c4 is set to 2',moduleName)
c4_global=2d0
call lpTMDPDF_resetGrid()
else if(abs(c4_in-c4_global)<tolerance) then
if(outputLevel>1) write(*,*) color('lpTMDPDF: c4-variation is ignored. c4='//real8ToStr(c4_global),c_yellow)
else
c4_global=c4_in
if(outputLevel>1) write(*,*) color('lpTMDPDF: set scale variations constant c4 as:'//real8ToStr(c4_global),c_yellow)
call lpTMDPDF_resetGrid()
end if
end subroutine lpTMDPDF_SetScaleVariation
end module lpTMDPDF
| 17,835 | 33.432432 | 128 | f90 |
artemide-public | artemide-public-master/src/uTMDFF.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 2.00
!
! Evaluation of the unpolarized TMD FF at low normalization point in zeta-prescription.
!
! if you use this module please, quote 1706.01473 (for arTeMiDe), + ????.???? (for UTMDFF)
!
! 27.02.2019 changed z^2 prescription, now dd=x^2 xd.
! 29.03.2019 Update to version 2.00 (AV).
!
! A.Vladimirov (19.04.2018)
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module uTMDFF
use aTMDe_Numerics
use IO_functions
use QCDinput
use uTMDFF_model
implicit none
private
!Current version of module
character (len=5),parameter :: version="v2.05"
character (len=7),parameter :: moduleName="uTMDFF"
!Last appropriate version of constants-file
integer,parameter::inputver=12
INCLUDE 'Tables/G7K15.f90'
!-------------------Physical constants-----------------------------------------
!--------------------------------Working variables-----------------------------------------------
!! Level of output
!! 0=only critical
!! 1=initialization details
!! 2=WARNINGS
integer::outputLevel=2
!! variable that count number of WRNING mesagges. In order not to spam too much
integer::messageTrigger=6
logical::started=.false.
!!! The global order which is used in programm
! 0=LO, 1=NLO, 2=NNLO
integer :: order_global
!!parameters of non-perturbative input
integer::lambdaNPlength
real(dp),dimension(:),allocatable::lambdaNP,lambdaNP_grid
real(dp)::c4_global!!!this is the variation constant for mu_OPE
!!parameters of numerics
real(dp) :: tolerance=0.0001d0!!! relative tolerance of the integration
integer :: maxIteration=5000
!------------------------------Variables for coefficient function etc-------------------------------
integer,parameter::parametrizationLength=36
!!!!!Coefficient lists
!!!!! contain exact asymptotic z->0, and z->1.
!!!!! regular part fit by some function, such that all coefficeint without polylog [main log,large-nf] are exact
real(dp),dimension(1:parametrizationLength) :: Coeff_q_q, Coeff_q_g, Coeff_g_q, Coeff_g_g, Coeff_q_qb, Coeff_q_qp
!! This is list of coefficeints for the encoding the singular at x->1
!! { 1/(1-x), (Log[1-x]/(1-x))_+, (Log[1-x]^2/(1-x))_+,}
real(dp), dimension(1:3) :: CoeffSing1_q_q,CoeffSing1_g_g
integer:: counter,messageCounter
INCLUDE 'Code/Twist2/Twist2Convolution-VAR.f90'
INCLUDE 'Code/Grids/TMDGrid-B-VAR.f90'
!!--------------------------------- variables for the griding the TMD.---------------------------------------------
logical :: gridReady!!!!indicator that grid is ready to use. If it is .true., the TMD calculated form the grid
logical :: prepareGrid!!!idicator that grid must be prepared
logical :: withGluon!!!indicator the gluon is needed in the grid
logical :: IsFnpZdependent !!! indicator that the grid must be recalculated with the change of Lambda
!!--------------------------------- variables for hadron composition---------------------------------------------
integer::numberOfHadrons !!!number of hadrons/components
integer,dimension(:),allocatable::hadronsInGRID !!!list of hadron to be pre-grid
logical::IsComposite=.false. !!!flag to use the composite TMD
!!-----------------------------------------------Public interface---------------------------------------------------
public::uTMDFF_Initialize,uTMDFF_SetLambdaNP,uTMDFF_resetGrid,uTMDFF_SetScaleVariation,uTMDFF_CurrentNPparameters
public::uTMDFF_IsInitialized
public::uTMDFF_lowScale5,uTMDFF_lowScale50
public::uTMDFF_SetFFreplica
! public::CheckCoefficient
interface uTMDFF_SetLambdaNP
module procedure uTMDFF_SetLambdaNP_usual,uTMDFF_SetReplica_optional
end interface
contains
INCLUDE 'Code/Twist2/Twist2Convolution.f90'
INCLUDE 'Code/Grids/TMDGrid-B.f90'
!! Coefficient function
INCLUDE 'Code/uTMDFF/coeffFunc.f90'
!! Computation of TMDs
INCLUDE 'Code/uTMDFF/convolutions.f90'
!! Testing the model
INCLUDE 'Code/uTMDFF/modelTest.f90'
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Interface subroutines!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
function uTMDFF_IsInitialized()
logical::uTMDFF_IsInitialized
uTMDFF_IsInitialized=started
end function uTMDFF_IsInitialized
!! Initialization of the package
subroutine uTMDFF_Initialize(file,prefix)
character(len=*)::file
character(len=*),optional::prefix
character(len=300)::path,line
logical::initRequired
character(len=8)::orderMain
logical::bSTAR_lambdaDependent
integer::i,FILEver
if(started) return
if(.not.QCDinput_IsInitialized()) then
if(outputLevel>1) write(*,*) '.. initializing QCDinput (from ',moduleName,')'
if(present(prefix)) then
call QCDinput_Initialize(file,prefix)
else
call QCDinput_Initialize(file)
end if
end if
if(present(prefix)) then
path=trim(adjustl(prefix))//trim(adjustr(file))
else
path=trim(adjustr(file))
end if
OPEN(UNIT=51, FILE=path, ACTION="read", STATUS="old")
!!! Search for output level
call MoveTO(51,'*0 ')
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) FILEver
if(FILEver<inputver) then
write(*,*) 'artemide.'//trim(moduleName)//': const-file version is too old.'
write(*,*) ' Update the const-file with artemide.setup'
write(*,*) ' '
stop
end if
call MoveTO(51,'*p2 ')
read(51,*) outputLevel
if(outputLevel>1) write(*,*) '--------------------------------------------- '
if(outputLevel>1) write(*,*) 'artemide.',moduleName,version,': initialization started ... '
call MoveTO(51,'*p3 ')
read(51,*) messageTrigger
call MoveTO(51,'*5 ')
call MoveTO(51,'*p1 ')
read(51,*) initRequired
if(.not.initRequired) then
if(outputLevel>1) write(*,*)'artemide.',moduleName,': initialization is not required. '
started=.false.
return
end if
!------ ORDER
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) orderMain
SELECT CASE(trim(orderMain))
CASE ("NA")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NA',color(" (TMD=fNP)",c_yellow)
order_global=-50
CASE ("LO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: LO'
order_global=0
CASE ("LO+")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: LO+'
order_global=0
CASE ("NLO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NLO'
order_global=1
CASE ("NLO+")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NLO+'
order_global=1
CASE ("NNLO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NNLO'
order_global=2
CASE ("N2LO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NNLO'
order_global=2
CASE ("NNLO+")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NNLO+'
order_global=2
CASE ("NNNLO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NNNLO'
order_global=3
CASE ("N3LO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: N3LO'
order_global=3
CASE DEFAULT
if(outputLevel>0) write(*,*) &
WarningString('Initialize: unknown order for coefficient function. Switch to NLO.',moduleName)
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NLO'
order_global=1
END SELECT
if(outputLevel>2 .and. order_global>-1) write(*,'(A,I1)') ' | Coef.func. =as^',order_global
!------ Compositeness
call MoveTO(51,'*p2 ')
read(51,*) IsComposite
if(outputLevel>2) then
if(IsComposite) then
write(*,'(A,I1)') ' | Use compsite =TRUE'
else
write(*,'(A,I1)') ' | Use compsite =FALSE'
end if
end if
!-------------parameters of NP model
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) lambdaNPlength
if(outputLevel>2) write(*,'(A,I3)') ' Number of NP parameters =',lambdaNPlength
if(lambdaNPlength<=0) then
write(*,*) ErrorString('Initialize: number of non-pertrubative &
parameters should be >=1. Check the constants-file. Evaluation STOP',moduleName)
stop
end if
allocate(lambdaNP(1:lambdaNPlength))
call MoveTO(51,'*p2 ')
do i=1,lambdaNPlength
read(51,*) lambdaNP(i)
end do
!-------------Numeric parameters
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) tolerance
call MoveTO(51,'*p2 ')
read(51,*) maxIteration
if(outputLevel>2) then
write(*,'(A,ES10.3)') ' | tolerance =',tolerance
write(*,'(A,ES10.3)') ' | max iteration =',REAL(maxIteration)
end if
!-------------Make grid options
call MoveTO(51,'*D ')
call MoveTO(51,'*p1 ')
read(51,*) prepareGrid
call MoveTO(51,'*p2 ')
read(51,*) withGluon
call MoveTO(51,'*p3 ')
read(51,*) numberOfHadrons
allocate(hadronsInGRID(1:numberOfHadrons))
call MoveTO(51,'*p4 ')
read(51,*) hadronsInGRID
!-------------Parameters of grid
call MoveTO(51,'*E ')
call MoveTO(51,'*p1 ')
read(51,*) xGrid_Min
call MoveTO(51,'*p2 ')
read(51,*) bGrid_Max
call MoveTO(51,'*p3 ')
read(51,*) GridSizeX
call MoveTO(51,'*p4 ')
read(51,*) GridSizeB
call MoveTO(51,'*p5 ')
read(51,*) slope
if(outputLevel>2) then
write(*,*) 'Grid options:'
write(*,'(A,ES10.3)') ' | xGrid_Min =',xGrid_Min
write(*,'(A,ES10.3)') ' | bGrid_Max =',bGrid_Max
write(*,'(A,I6,A,I6,A)') ' | (GridSizeX,GridSizeB) =(',GridSizeX,',',GridSizeB,')'
write(*,'(A,F6.3)') ' | slope =',slope
write(*,'(A,I3)') ' | hadrons to grid =',numberOfHadrons
write(*,*) ' | list of hadrons in grid =(',hadronsInGRID,')'
end if
CLOSE (51, STATUS='KEEP')
allocate(gridMain(0:GridSizeX,0:GridSizeB,-5:5,1:numberOfHadrons))
allocate(boundaryValues(0:GridSizeX,-5:5,1:numberOfHadrons))
allocate(lambdaNP_grid(1:lambdaNPlength))
c4_global=1d0
call ModelInitialization(lambdaNP)
!!!!!!!Checking the x-dependance of muOPE
IsMuXdependent=testMU()
if(IsMuXdependent) then
if(outputLevel>2) write(*,*) 'arTeMiDe.uTMDFF: mu OPE is dependent on x'
else
if(outputLevel>2) write(*,*) 'arTeMiDe.uTMDFF: mu OPE is independent on x'
end if
!!!!!!!Checking the lambda-dependance of bSTAR
bSTAR_lambdaDependent=testbSTAR()
if(bSTAR_lambdaDependent) then
if(outputLevel>2) write(*,*) 'arTeMiDe.uTMDFF: bSTAR is dependent on lambda'
else
if(outputLevel>2) write(*,*) 'arTeMiDe.uTMDFF: bSTAR is independent on lambda'
end if
!!!!!!!Checking the x-dependance of FNP
IsFnpZdependent=TestFNP()
gridReady=.false.
if(IsFnpZdependent) then
if(outputLevel>2) write(*,*) 'arTeMiDe.uTMDFF: FNP is dependent on z'
else
if(outputLevel>2) write(*,*) 'arTeMiDe.uTMDFF: FNP is independent on z'
end if
!!! if fnp depende on z or bSTAR depeds on lambda
!!! grid must be recalculate ech time. It canbe saved to single IsFnpZdependent
if(IsFnpZdependent .or. bSTAR_lambdaDependent) then
IsFnpZdependent=.true.
if(outputLevel>2) write(*,*) 'arTeMiDe.uTMDFF: ............. convolution is lambda sensitive.'
end if
messageCounter=0
started=.true.
if(outputLevel>0) write(*,*) color('----- arTeMiDe.uTMDFF '//trim(version)//': .... initialized',c_green)
if(outputLevel>1) write(*,*) ' '
end subroutine uTMDFF_Initialize
!! call for parameters from the model
subroutine uTMDFF_SetReplica_optional(num,buildGrid, gluonRequired)
integer, intent(in):: num
logical,optional:: buildGrid,gluonRequired
real(dp),allocatable::NParray(:)
call GetReplicaParameters(num,NParray)
if(present(buildGrid)) then
if(present(gluonRequired)) then
call uTMDFF_SetLambdaNP_usual(NParray,buildGrid=buildGrid,gluonRequired=gluonRequired)
else
call uTMDFF_SetLambdaNP_usual(NParray,buildGrid=buildGrid)
end if
else
if(present(gluonRequired)) then
call uTMDFF_SetLambdaNP_usual(NParray,gluonRequired=gluonRequired)
else
call uTMDFF_SetLambdaNP_usual(NParray)
end if
end if
end subroutine uTMDFF_SetReplica_optional
!! call QCDinput to change the PDF replica number
!! unset the grid, since it should be recalculated fro different PDF replica.
subroutine uTMDFF_SetFFreplica(rep,hadron)
integer,intent(in):: rep,hadron
logical::newPDF
call QCDinput_SetFFreplica(rep,hadron,newPDF)
if(newPDF) then
gridReady=.false.
call uTMDFF_resetGrid()
else
if(outputLevel>1) write(*,"('arTeMiDe ',A,': replica of PDF (',I4,' is the same as the used one. Nothing is done!')") &
moduleName, rep
end if
end subroutine uTMDFF_SetFFreplica
!!!Sets the non-pertrubative parameters lambda
!!! carries additionl option to build the grid
!!! if need to build grid, specify the gluon required directive.
subroutine uTMDFF_SetLambdaNP_usual(lambdaIN,buildGrid, gluonRequired)
real(dp),intent(in)::lambdaIN(:)
logical,optional :: buildGrid,gluonRequired
real(dp),dimension(1:lambdaNPlength)::lambdaOLD
logical::IsNewValues
integer::i,ll
messageCounter=0
if(present(buildGrid)) prepareGrid=buildGrid
if(present(gluonRequired)) withGluon=gluonRequired
ll=size(lambdaIN)
if(ll<lambdaNPlength) then
if(outputLevel>0) write(*,"(A,I3,A,I3,')')")&
WarningString('SetLambdaNP:length of lambdaNP(',moduleName),&
ll,color(') is less then requred (',c_red),lambdaNPlength
if(outputLevel>0) write(*,*)color(' Rest parameters are replaced by zeros!',c_red)
lambdaNP=0d0*lambdaNP
lambdaNP(1:ll)=lambdaIN(1:ll)
else if (ll>lambdaNPlength) then
if(outputLevel>0) write(*,"(A,I3,A,I3,')')")&
WarningString('SetLambdaNP:length of lambdaNP(',moduleName),&
ll,color(') is greater then requred (',c_red),lambdaNPlength
if(outputLevel>0) write(*,*)color(' Array is truncated!',c_red)
lambdaNP(1:lambdaNPlength)=lambdaIN(1:lambdaNPlength)
else
lambdaOLD=lambdaNP
lambdaNP=lambdaIN
end if
lambdaOLD=lambdaNP
lambdaNP=lambdaIN
IsNewValues=.false.
do i=1,lambdaNPlength
if(ABS(lambdaNP(i)-lambdaOLD(i))>10d-10) then
IsNewValues=.true.
exit
end if
end do
if(IsNewValues.and.(outputLevel>2)) write(*,*) 'arTeMiDe.',moduleName,': NPparameters reset = (',lambdaNP,')'
call ModelUpdate(lambdaNP)
!! further if's are only for griding
if(prepareGrid) then !!!grid is requred
if(IsNewValues) then !! values are new
if(gridReady) then !!! grid is already build
if(IsFnpZdependent) then !!! check the z-dependance of FNP
!! if it is z- dependent, rebuild the grid
gridReady=.false.
call MakeGrid()
gridReady=.true.
else !!! if z-Independent just do nothing.
if(outputLevel>2) write(*,*) 'arTeMiDe.',moduleName,': the values are to be restored from the initial grid'
end if
else !!! grid is not ready (how comes?)
call MakeGrid()
gridReady=.true.
end if
else !! values are old
if(gridReady) then !!! grid is already build
!!!nothing to do
else!!rare option then parameters are not new but grit is not build
if(outputLevel>2) write(*,*) 'arTeMiDe.',moduleName,': parameters are not reset. But grid is not ready.'
call MakeGrid()
gridReady=.true.
end if
end if
else
gridReady=.false.
end if
end subroutine uTMDFF_SetLambdaNP_usual
!!! This subroutine ask for the grid reconstruction (or destruction)
subroutine uTMDFF_resetGrid(buildGrid,gluonRequired)
logical,optional::buildGrid,gluonRequired
logical::previousState
if(present(buildGrid)) prepareGrid=buildGrid
if(present(gluonRequired)) withGluon=gluonRequired
previousState=gridReady
gridReady=.false.
! we recalculate grid only if it was already calculated
if(prepareGrid.and.previousState) then
if(outputLevel>1) write(*,*) 'arTeMiDe ',moduleName,': Grid Reset. with c4=',c4_global
call MakeGrid()
gridReady=.true.
end if
end subroutine uTMDFF_resetGrid
!!!! this routine set the variations of scales
!!!! it is used for the estimation of errors
subroutine uTMDFF_SetScaleVariation(c4_in)
real(dp),intent(in)::c4_in
if(c4_in<0.1d0 .or. c4_in>10.d0) then
if(outputLevel>0) write(*,*) WarningString('variation in c4 is enourmous. c4 is set to 2',moduleName)
c4_global=2d0
call uTMDFF_resetGrid()
else if(abs(c4_in-c4_global)<tolerance) then
if(outputLevel>1) write(*,*) color('uTMDFF: c4-variation is ignored. c4='//real8ToStr(c4_global),c_yellow)
else
c4_global=c4_in
if(outputLevel>1) write(*,*) color('uTMDFF: set scale variations constant c4 as:'//real8ToStr(c4_global),c_yellow)
call uTMDFF_resetGrid()
end if
end subroutine uTMDFF_SetScaleVariation
!!! retruns current value of NP parameters
subroutine uTMDFF_CurrentNPparameters(var)
real(dp),dimension(1:lambdaNPlength),intent(out)::var
var=lambdaNP
end subroutine uTMDFF_CurrentNPparameters
end module uTMDFF
| 18,145 | 33.045028 | 133 | f90 |
artemide-public | artemide-public-master/src/uTMDPDF.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 2.0
!
! Evaluation of the unpolarized TMD PDF at low normalization point in zeta-prescription.
!
! if you use this module please, quote 1706.01473
!
! 08.11.2018 essential error in griding with x-dependance FIXED (AV).
! 29.03.2019 Update to version 2.00 (AV).
! 24.06.2022 Update to version 2.06 [N3LO] (AV).
!
! A.Vladimirov (19.04.2018)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module uTMDPDF
use aTMDe_Numerics
use IO_functions
use QCDinput
use uTMDPDF_model
implicit none
!------------------------LOCALs -----------------------------------------------
private
!Current version of module
character (len=5),parameter :: version="v2.05"
character (len=7),parameter :: moduleName="uTMDPDF"
!Last appropriate version of constants-file
integer,parameter::inputver=12
INCLUDE 'Tables/G7K15.f90'
!--------------------------------Working variables-----------------------------------------------
!--- general
logical:: started=.false.
!! Level of output
!! 0=only critical
!! 1=initialization details
!! 2=WARNINGS
integer::outputLevel=2
!! variable that count number of WRNING mesagges. In order not to spam too much
integer::messageTrigger=6
!!! The global order which is used in programm
! it is set by SetOrderForC subroutine
! 0=LO, 1=NLO, 2=NNLO
integer :: order_global
integer::lambdaNPlength
real(dp),dimension(:),allocatable::lambdaNP
real(dp),dimension(:),allocatable::lambdaNP_grid !!! this is the value of lambda on which the grid is build
real(dp)::c4_global!!!this is the variation constant for mu_OPE
!!!Parameters of numerics
real(dp) :: tolerance=0.0001d0!!! relative tolerance of the integration
integer :: maxIteration=5000
!------------------------------Variables for coefficient function etc-------------------------------
!!!!!Coefficient lists
integer,parameter::parametrizationLength=37
!! { Log[1-x], log[1-x]^2, log[1-x]^3, log[1-x]^4, log[1-x]^5 !exact
!! 1/x, log[x]/x, Log[x]^2/x !exact
!! Log[x], log[x]^2, Log[x]^3, log[x]^4, Log[x]^5 !exact
!! T0,...,T23 (Chebyshev polynomials) }
!! The Lmu^2 part is exact the later parts are fitted, but exact if posible (e.g. Lmu and Nf parts for q->q)
real(dp),dimension(1:parametrizationLength) :: Coeff_q_q, Coeff_q_g, Coeff_g_q, Coeff_g_g, Coeff_q_qb, Coeff_q_qp
!! This is list of coefficeints for the encoding the singular at x->1
!! { 1/(1-x)_+, (Log[1-x]/(1-x))_+, (Log[1-x]^2/(1-x))_+}
real(dp), dimension(1:3) :: CoeffSing1_q_q,CoeffSing1_g_g
integer :: counter,messageCounter
INCLUDE 'Code/Twist2/Twist2Convolution-VAR.f90'
INCLUDE 'Code/Grids/TMDGrid-B-VAR.f90'
!!--------------------------------- variables for the griding the TMD.---------------------------------------------
logical :: gridReady!!!!indicator that grid is ready to use. If it is .true., the TMD calculated from the grid
logical :: prepareGrid!!!idicator that grid must be prepared
logical :: withGluon!!!indicator the gluon is needed in the grid
logical :: IsFnpZdependent !!! indicator that the grid must be recalculated with the change of Lambda
!!--------------------------------- variables for hadron composition---------------------------------------------
integer::numberOfHadrons !!!number of hadrons/components
integer,dimension(:),allocatable::hadronsInGRID !!!list of hadron to be pre-grid
logical::IsComposite=.false. !!!flag to use the composite TMD
!!-----------------------------------------------Public interface---------------------------------------------------
public::uTMDPDF_Initialize,uTMDPDF_SetLambdaNP,uTMDPDF_SetScaleVariation,uTMDPDF_resetGrid,uTMDPDF_SetPDFreplica
public::uTMDPDF_IsInitialized,uTMDPDF_CurrentNPparameters
public::uTMDPDF_lowScale5,uTMDPDF_lowScale50
! public::CheckCoefficient
! public::mu_OPE
interface uTMDPDF_SetLambdaNP
module procedure uTMDPDF_SetLambdaNP_usual,uTMDPDF_SetReplica_optional
end interface
contains
INCLUDE 'Code/Twist2/Twist2Convolution.f90'
INCLUDE 'Code/Grids/TMDGrid-B.f90'
!! Coefficient function
INCLUDE 'Code/uTMDPDF/coeffFunc.f90'
!! Computation of TMDs
INCLUDE 'Code/uTMDPDF/convolutions.f90'
!! Testing the model
INCLUDE 'Code/uTMDPDF/modelTest.f90'
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Interface subroutines!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
function uTMDPDF_IsInitialized()
logical::uTMDPDF_IsInitialized
uTMDPDF_IsInitialized=started
end function uTMDPDF_IsInitialized
!! Initialization of the package
subroutine uTMDPDF_Initialize(file,prefix)
character(len=*)::file
character(len=*),optional::prefix
character(len=300)::path,line
logical::initRequired
character(len=8)::orderMain
logical::bSTAR_lambdaDependent
integer::i,FILEver
if(started) return
if(.not.QCDinput_IsInitialized()) then
if(outputLevel>1) write(*,*) '.. initializing QCDinput (from ',moduleName,')'
if(present(prefix)) then
call QCDinput_Initialize(file,prefix)
else
call QCDinput_Initialize(file)
end if
end if
if(present(prefix)) then
path=trim(adjustl(prefix))//trim(adjustr(file))
else
path=trim(adjustr(file))
end if
OPEN(UNIT=51, FILE=path, ACTION="read", STATUS="old")
!!! Search for output level
call MoveTO(51,'*0 ')
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) FILEver
if(FILEver<inputver) then
write(*,*) 'artemide.'//trim(moduleName)//': const-file version is too old.'
write(*,*) ' Update the const-file with artemide.setup'
write(*,*) ' '
stop
end if
call MoveTO(51,'*p2 ')
read(51,*) outputLevel
if(outputLevel>1) write(*,*) '--------------------------------------------- '
if(outputLevel>1) write(*,*) 'artemide.',moduleName,version,': initialization started ... '
call MoveTO(51,'*p3 ')
read(51,*) messageTrigger
call MoveTO(51,'*4 ')
call MoveTO(51,'*p1 ')
read(51,*) initRequired
if(.not.initRequired) then
if(outputLevel>1) write(*,*)'artemide.',moduleName,': initialization is not required. '
started=.false.
return
end if
!----- ORDER
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) orderMain
SELECT CASE(trim(orderMain))
CASE ("NA")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NA',color(" (TMD=fNP)",c_yellow)
order_global=-50
CASE ("LO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: LO'
order_global=0
CASE ("LO+")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: LO+'
order_global=0
CASE ("NLO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NLO'
order_global=1
CASE ("NLO+")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NLO+'
order_global=1
CASE ("NNLO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NNLO'
order_global=2
CASE ("N2LO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NNLO'
order_global=2
CASE ("NNLO+")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NNLO+'
order_global=2
CASE ("NNNLO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: N3LO'
order_global=3
CASE ("N3LO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: N3LO'
order_global=3
CASE DEFAULT
if(outputLevel>0)write(*,*) &
WarningString('Initialize: unknown order for coefficient function. Switch to NLO.',moduleName)
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: NLO'
order_global=1
END SELECT
if(outputLevel>2 .and. order_global>-1) write(*,'(A,I1)') ' | Coef.func. =as^',order_global
!------ Compositeness
call MoveTO(51,'*p2 ')
read(51,*) IsComposite
if(outputLevel>2) then
if(IsComposite) then
write(*,'(A,I1)') ' | Use compsite =TRUE'
else
write(*,'(A,I1)') ' | Use compsite =FALSE'
end if
end if
!-------------parameters of NP model
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) lambdaNPlength
if(outputLevel>2) write(*,'(A,I3)') ' Number of NP parameters =',lambdaNPlength
if(lambdaNPlength<=0) then
write(*,*) ErrorString('Initialize: number of non-pertrubative &
parameters should be >=1. Check the constants-file. Evaluation STOP',moduleName)
stop
end if
allocate(lambdaNP(1:lambdaNPlength))
call MoveTO(51,'*p2 ')
do i=1,lambdaNPlength
read(51,*) lambdaNP(i)
end do
!-------------Numeric parameters
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) tolerance
call MoveTO(51,'*p2 ')
read(51,*) maxIteration
if(outputLevel>2) then
write(*,'(A,ES10.3)') ' | tolerance =',tolerance
write(*,'(A,ES10.3)') ' | max iteration =',REAL(maxIteration)
end if
!-------------Make grid options
call MoveTO(51,'*D ')
call MoveTO(51,'*p1 ')
read(51,*) prepareGrid
call MoveTO(51,'*p2 ')
read(51,*) withGluon
call MoveTO(51,'*p3 ')
read(51,*) numberOfHadrons
allocate(hadronsInGRID(1:numberOfHadrons))
call MoveTO(51,'*p4 ')
read(51,*) hadronsInGRID
!-------------Parameters of grid
call MoveTO(51,'*E ')
call MoveTO(51,'*p1 ')
read(51,*) xGrid_Min
call MoveTO(51,'*p2 ')
read(51,*) bGrid_Max
call MoveTO(51,'*p3 ')
read(51,*) GridSizeX
call MoveTO(51,'*p4 ')
read(51,*) GridSizeB
call MoveTO(51,'*p5 ')
read(51,*) slope
if(outputLevel>2) then
write(*,*) 'Grid options:'
write(*,'(A,ES10.3)') ' | xGrid_Min =',xGrid_Min
write(*,'(A,ES10.3)') ' | bGrid_Max =',bGrid_Max
write(*,'(A,I6,A,I6,A)') ' | (GridSizeX,GridSizeB) =(',GridSizeX,',',GridSizeB,')'
write(*,'(A,F6.3)') ' | slope =',slope
write(*,'(A,I3)') ' | hadrons to grid =',numberOfHadrons
write(*,*) ' | list of hadrons in grid =(',hadronsInGRID,')'
end if
CLOSE (51, STATUS='KEEP')
allocate(gridMain(0:GridSizeX,0:GridSizeB,-5:5,1:numberOfHadrons))
allocate(boundaryValues(0:GridSizeX,-5:5,1:numberOfHadrons))
allocate(lambdaNP_grid(1:lambdaNPlength))
c4_global=1d0
call ModelInitialization(lambdaNP)
!!!!!!!Checking the x-dependance of muOPE
IsMuXdependent=testMU()
if(IsMuXdependent) then
if(outputLevel>2) write(*,*) 'arTeMiDe.uTMDPDF: mu OPE is dependent on x'
else
if(outputLevel>2) write(*,*) 'arTeMiDe.uTMDPDF: mu OPE is independent on x'
end if
!!!!!!!Checking the lambda-dependance of bSTAR
bSTAR_lambdaDependent=testbSTAR()
if(bSTAR_lambdaDependent) then
if(outputLevel>2) write(*,*) 'arTeMiDe.uTMDPDF: bSTAR is dependent on lambda'
else
if(outputLevel>2) write(*,*) 'arTeMiDe.uTMDPDF: bSTAR is independent on lambda'
end if
!!!!!!!Checking the x-dependance of FNP
IsFnpZdependent=TestFNP()!hadronsInGRID,lambdaNPlength)
gridReady=.false.
if(IsFnpZdependent) then
if(outputLevel>2) write(*,*) 'arTeMiDe.uTMDPDF: FNP is dependent on z'
else
if(outputLevel>2) write(*,*) 'arTeMiDe.uTMDPDF: FNP is independent on z'
end if
!!! if fnp depende on z or bSTAR depeds on lambda
!!! grid must be recalculate ech time. It canbe saved to single IsFnpZdependent
if(IsFnpZdependent .or. bSTAR_lambdaDependent) then
IsFnpZdependent=.true.
if(outputLevel>2) write(*,*) 'arTeMiDe.uTMDPDF: ............. convolution is lambda sensitive.'
end if
started=.true.
messageCounter=0
if(outputLevel>0) write(*,*) color('----- arTeMiDe.uTMDPDF '//trim(version)//': .... initialized',c_green)
if(outputLevel>1) write(*,*) ' '
end subroutine uTMDPDF_Initialize
!! call for parameters from the model
subroutine uTMDPDF_SetReplica_optional(num,buildGrid, gluonRequired)
integer,intent(in):: num
logical,optional,intent(in):: buildGrid,gluonRequired
real(dp),allocatable::NParray(:)
call GetReplicaParameters(num,NParray)
if(present(buildGrid)) then
if(present(gluonRequired)) then
call uTMDPDF_SetLambdaNP_usual(NParray,buildGrid=buildGrid,gluonRequired=gluonRequired)
else
call uTMDPDF_SetLambdaNP_usual(NParray,buildGrid=buildGrid)
end if
else
if(present(gluonRequired)) then
call uTMDPDF_SetLambdaNP_usual(NParray,gluonRequired=gluonRequired)
else
call uTMDPDF_SetLambdaNP_usual(NParray)
end if
end if
end subroutine uTMDPDF_SetReplica_optional
!! call QCDinput to change the PDF replica number
!! unset the grid, since it should be recalculated fro different PDF replica.
subroutine uTMDPDF_SetPDFreplica(rep,hadron)
integer,intent(in):: rep,hadron
logical::newPDF
call QCDinput_SetPDFreplica(rep,hadron,newPDF)
if(newPDF) then
gridReady=.false.
call uTMDPDF_resetGrid()
else
if(outputLevel>1) write(*,"('arTeMiDe ',A,': replica of PDF (',I4,' is the same as the used one. Nothing is done!')") &
moduleName, rep
end if
end subroutine uTMDPDF_SetPDFreplica
!!!Sets the non-pertrubative parameters lambda
!!! carries additionl option to build the grid
!!! if need to build grid, specify the gluon required directive.
subroutine uTMDPDF_SetLambdaNP_usual(lambdaIN,buildGrid, gluonRequired)
real(dp),intent(in)::lambdaIN(:)
logical,optional,intent(in) :: buildGrid,gluonRequired
real(dp),dimension(1:lambdaNPlength)::lambdaOLD
logical::IsNewValues
integer::i,ll
messageCounter=0
if(present(buildGrid)) prepareGrid=buildGrid
if(present(gluonRequired)) withGluon=gluonRequired
ll=size(lambdaIN)
if(ll<lambdaNPlength) then
if(outputLevel>0) write(*,"(A,I3,A,I3,')')")&
WarningString('SetLambdaNP:length of lambdaNP(',moduleName),&
ll,color(') is less then requred (',c_red),lambdaNPlength
if(outputLevel>0) write(*,*)color(' Rest parameters are replaced by zeros!',c_red)
lambdaNP=0d0*lambdaNP
lambdaNP(1:ll)=lambdaIN(1:ll)
else if (ll>lambdaNPlength) then
if(outputLevel>0) write(*,"(A,I3,A,I3,')')")&
WarningString('SetLambdaNP:length of lambdaNP(',moduleName),&
ll,color(') is greater then requred (',c_red),lambdaNPlength
if(outputLevel>0) write(*,*)color(' Array is truncated!',c_red)
lambdaNP(1:lambdaNPlength)=lambdaIN(1:lambdaNPlength)
else
lambdaOLD=lambdaNP
lambdaNP=lambdaIN
end if
lambdaOLD=lambdaNP
lambdaNP=lambdaIN
IsNewValues=.false.
do i=1,lambdaNPlength
if(ABS(lambdaNP(i)-lambdaOLD(i))>10d-10) then
IsNewValues=.true.
exit
end if
end do
if(IsNewValues.and.(outputLevel>2)) write(*,*) 'arTeMiDe.',moduleName,': NPparameters reset = (',lambdaNP,')'
call ModelUpdate(lambdaNP)
!! further if's are only for griding
if(prepareGrid) then !!!grid is requred
if(IsNewValues) then !! values are new
if(gridReady) then !!! grid is already build
if(IsFnpZdependent) then !!! check the z-dependance of FNP
!! if it is z- dependent, rebuild the grid
gridReady=.false.
call MakeGrid()
gridReady=.true.
else !!! if z-Independent just do nothing.
if(outputLevel>2) write(*,*) 'arTeMiDe.',moduleName,': the values are to be restored from the initial grid'
end if
else !!! grid is not ready (how comes?)
call MakeGrid()
gridReady=.true.
end if
else !! values are old
if(gridReady) then !!! grid is already build
!!!nothing to do
else!!rare option then parameters are not new but grit is not build
if(outputLevel>2) write(*,*) 'arTeMiDe.',moduleName,': parameters are not reset. But grid is not ready.'
call MakeGrid()
gridReady=.true.
end if
end if
else
gridReady=.false.
end if
end subroutine uTMDPDF_SetLambdaNP_usual
!!! returns current value of NP parameters
subroutine uTMDPDF_CurrentNPparameters(var)
real(dp),dimension(1:lambdaNPlength),intent(out)::var
var=lambdaNP
end subroutine uTMDPDF_CurrentNPparameters
!!! This subroutine ask for the grid reconstruction (or destruction)
subroutine uTMDPDF_resetGrid(buildGrid,gluonRequired)
logical,optional,intent(in)::buildGrid,gluonRequired
logical::previousState
if(present(buildGrid)) prepareGrid=buildGrid
if(present(gluonRequired)) withGluon=gluonRequired
previousState=gridReady
gridReady=.false.
!! we recalculate grid only if it was already calculated!
if(prepareGrid .and. previousState) then
if(outputLevel>1) write(*,*) 'arTeMiDe ',moduleName,': Grid Reset. with c4=',c4_global
call MakeGrid()
gridReady=.true.
end if
end subroutine uTMDPDF_resetGrid
!!!! this routine set the variations of scales
!!!! it is used for the estimation of errors
subroutine uTMDPDF_SetScaleVariation(c4_in)
real(dp),intent(in)::c4_in
if(c4_in<0.1d0 .or. c4_in>10.d0) then
if(outputLevel>0) write(*,*) WarningString('variation in c4 is enourmous. c4 is set to 2',moduleName)
c4_global=2d0
call uTMDPDF_resetGrid()
else if(abs(c4_in-c4_global)<tolerance) then
if(outputLevel>1) write(*,*) color('uTMDPDF: c4-variation is ignored. c4='//real8ToStr(c4_global),c_yellow)
else
c4_global=c4_in
if(outputLevel>1) write(*,*) color('uTMDPDF: set scale variations constant c4 as:'//real8ToStr(c4_global),c_yellow)
call uTMDPDF_resetGrid()
end if
end subroutine uTMDPDF_SetScaleVariation
end module uTMDPDF
| 18,260 | 33.650854 | 128 | f90 |
artemide-public | artemide-public-master/src/wgtTMDPDF.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 2.06
!
! Evaluation of the worm-gear T TMD PDF at low normalization point in zeta-prescription.
!
! if you use this module please, quote 1706.01473
!
! 09.11.2021 Created (AV)
!
! A.Vladimirov (09.11.2021)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module wgtTMDPDF
use aTMDe_Numerics
use IO_functions
use QCDinput
use wgtTMDPDF_model
implicit none
!------------------------LOCALs -----------------------------------------------
private
!Current version of module
character (len=5),parameter :: version="v2.06"
character (len=7),parameter :: moduleName="wgtTMDPDF"
!Last appropriate version of constants-file
integer,parameter::inputver=19
INCLUDE 'Tables/G7K15.f90'
!--------------------------------Working variables-----------------------------------------------
!--- general
logical:: started=.false.
!! Level of output
!! 0=only critical
!! 1=initialization details
!! 2=WARNINGS
integer::outputLevel=2
!! variable that count number of WRNING mesagges. In order not to spam too much
integer::messageTrigger=6
!!! The global order which is used in programm
! it is set by SetOrderForC subroutine
! 1=LO, 2=NLO, 3=NNLO, etc..
integer :: order_global, order_global_tw3
integer::lambdaNPlength
real(dp),dimension(:),allocatable::lambdaNP
real(dp),dimension(:),allocatable::lambdaNP_grid !!! this is the value of lambda on which the grid is build
real(dp)::c4_global!!!this is the variation constant for mu_OPE
!!!Parameters of numerics
real(dp) :: tolerance=0.0001d0!!! relative tolerance of the integration
integer :: maxIteration=5000
!------------------------------Variables for coefficient function etc-------------------------------
!!!!!Coefficient lists
integer,parameter::parametrizationLength=4
!! { 1 (exact)}
!! The Lmu^2 part is exact the later parts are fitted, but exact if posible (e.g. Lmu and Nf parts for q->q)
real(dp),dimension(1:parametrizationLength) :: Coeff_q_q, Coeff_q_g, Coeff_g_q, Coeff_g_g, Coeff_q_qb, Coeff_q_qp
!! This is list of coefficeints for the encoding the singular at x->1
!! { 1/(1-x), (Log[1-x]/(1-x))_+, (Log[1-x]^2/(1-x))_+,}
real(dp), dimension(1:3) :: CoeffSing1_q_q,CoeffSing1_g_g
integer :: counter,messageCounter
INCLUDE 'Code/Twist2/Twist2Convolution-VAR.f90'
INCLUDE 'Code/Grids/TMDGrid-B-VAR.f90'
!!--------------------------------- variables for the griding the TMD.---------------------------------------------
logical :: gridReady!!!!indicator that grid is ready to use. If it is .true., the TMD calculated from the grid
logical :: prepareGrid!!!idicator that grid must be prepared
logical :: withGluon!!!indicator the gluon is needed in the grid
logical :: IsFnpZdependent !!! indicator that the grid must be recalculated with the change of Lambda
!!--------------------------------- variables for hadron composition---------------------------------------------
integer::numberOfHadrons !!!number of hadrons/components
integer,dimension(:),allocatable::hadronsInGRID !!!list of hadron to be pre-grid
logical::IsComposite=.false. !!!flag to use the composite TMD
!!-----------------------------------------------Public interface---------------------------------------------------
public::wgtTMDPDF_Initialize,wgtTMDPDF_SetLambdaNP,wgtTMDPDF_SetScaleVariation,wgtTMDPDF_resetGrid,wgtTMDPDF_SetPDFreplica
public::wgtTMDPDF_IsInitialized,wgtTMDPDF_CurrentNPparameters
public::wgtTMDPDF_lowScale5,wgtTMDPDF_lowScale50
! public::CheckCoefficient
! public::mu_OPE
interface wgtTMDPDF_SetLambdaNP
module procedure wgtTMDPDF_SetLambdaNP_usual,wgtTMDPDF_SetReplica_optional
end interface
contains
INCLUDE 'Code/Twist2/Twist2Convolution.f90'
INCLUDE 'Code/Grids/TMDGrid-B.f90'
!! Coefficient function
INCLUDE 'Code/wgtTMDPDF/coeffFunc.f90'
!! Computation of TMDs
INCLUDE 'Code/wgtTMDPDF/convolutions.f90'
!! Testing the model
INCLUDE 'Code/wgtTMDPDF/modelTest.f90'
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Interface subroutines!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
function wgtTMDPDF_IsInitialized()
logical::wgtTMDPDF_IsInitialized
wgtTMDPDF_IsInitialized=started
end function wgtTMDPDF_IsInitialized
!! Initialization of the package
subroutine wgtTMDPDF_Initialize(file,prefix)
character(len=*)::file
character(len=*),optional::prefix
character(len=300)::path,line
logical::initRequired
character(len=8)::orderTW2
logical::bSTAR_lambdaDependent
integer::i,FILEver
if(started) return
if(.not.QCDinput_IsInitialized()) then
if(outputLevel>1) write(*,*) '.. initializing QCDinput (from ',moduleName,')'
if(present(prefix)) then
call QCDinput_Initialize(file,prefix)
else
call QCDinput_Initialize(file)
end if
end if
if(present(prefix)) then
path=trim(adjustl(prefix))//trim(adjustr(file))
else
path=trim(adjustr(file))
end if
OPEN(UNIT=51, FILE=path, ACTION="read", STATUS="old")
!!! Search for output level
call MoveTO(51,'*0 ')
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) FILEver
if(FILEver<inputver) then
write(*,*) 'artemide.'//trim(moduleName)//': const-file version is too old.'
write(*,*) ' Update the const-file with artemide.setup'
write(*,*) ' '
stop
end if
call MoveTO(51,'*p2 ')
read(51,*) outputLevel
if(outputLevel>1) write(*,*) '--------------------------------------------- '
if(outputLevel>1) write(*,*) 'artemide.',moduleName,version,': initialization started ... '
call MoveTO(51,'*p3 ')
read(51,*) messageTrigger
!!!!--------------------- actual wgtTMDPDF section
call MoveTO(51,'*13 ')
call MoveTO(51,'*p1 ')
read(51,*) initRequired
if(.not.initRequired) then
if(outputLevel>1) write(*,*)'artemide.',moduleName,': initialization is not required. '
started=.false.
return
end if
!----- ORDER
call MoveTO(51,'*A ')
call MoveTO(51,'*p1 ')
read(51,*) orderTW2
!!!!!!!!!!!!!!!!!!
!!!!! LO=1 because it is needed to trigger computation of convolution in convolution.f90
SELECT CASE(trim(orderTW2))
CASE ("NA")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order for tw2-part set: NA',color(" (TMD=fNP)",c_yellow)
order_global=-50
CASE ("LO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order for tw2-part set: LO'
order_global=1
CASE ("LO+")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order for tw2-part set: LO+'
order_global=1
CASE ("NLO")
if(outputLevel>1) write(*,*) trim(moduleName)//' Order for tw2-part set: NLO'
order_global=2
CASE DEFAULT
if(outputLevel>0) write(*,*) &
WarningString('Initialize: unknown order for tw2 coefficient function. Switch to LO.',moduleName)
if(outputLevel>1) write(*,*) trim(moduleName)//' Order set: LO'
order_global=1
END SELECT
if(outputLevel>2 .and. order_global>-1) write(*,'(A,I1)') ' | Tw2.Coef.func. =as^',(order_global-1)
!------ Compositeness
call MoveTO(51,'*p2 ')
read(51,*) IsComposite
if(outputLevel>2) then
if(IsComposite) then
write(*,'(A,I1)') ' | Use compsite =TRUE'
else
write(*,'(A,I1)') ' | Use compsite =FALSE'
end if
end if
!-------------parameters of NP model
call MoveTO(51,'*B ')
call MoveTO(51,'*p1 ')
read(51,*) lambdaNPlength
if(outputLevel>2) write(*,'(A,I3)') ' Number of NP parameters =',lambdaNPlength
if(lambdaNPlength<=0) then
write(*,*) ErrorString('Initialize: number of non-pertrubative &
parameters should be >=1. Check the constants-file. Evaluation STOP',moduleName)
stop
end if
allocate(lambdaNP(1:lambdaNPlength))
call MoveTO(51,'*p2 ')
do i=1,lambdaNPlength
read(51,*) lambdaNP(i)
end do
!-------------Numeric parameters
call MoveTO(51,'*C ')
call MoveTO(51,'*p1 ')
read(51,*) tolerance
call MoveTO(51,'*p2 ')
read(51,*) maxIteration
if(outputLevel>2) then
write(*,'(A,ES10.3)') ' | tolerance =',tolerance
write(*,'(A,ES10.3)') ' | max iteration =',REAL(maxIteration)
end if
!-------------Make grid options
call MoveTO(51,'*D ')
call MoveTO(51,'*p1 ')
read(51,*) prepareGrid
call MoveTO(51,'*p2 ')
read(51,*) withGluon
call MoveTO(51,'*p3 ')
read(51,*) numberOfHadrons
allocate(hadronsInGRID(1:numberOfHadrons))
call MoveTO(51,'*p4 ')
read(51,*) hadronsInGRID
!-------------Parameters of grid
call MoveTO(51,'*E ')
call MoveTO(51,'*p1 ')
read(51,*) xGrid_Min
call MoveTO(51,'*p2 ')
read(51,*) bGrid_Max
call MoveTO(51,'*p3 ')
read(51,*) GridSizeX
call MoveTO(51,'*p4 ')
read(51,*) GridSizeB
call MoveTO(51,'*p5 ')
read(51,*) slope
if(outputLevel>2) then
write(*,*) 'Grid options:'
write(*,'(A,ES10.3)') ' | xGrid_Min =',xGrid_Min
write(*,'(A,ES10.3)') ' | bGrid_Max =',bGrid_Max
write(*,'(A,I6,A,I6,A)') ' | (GridSizeX,GridSizeB) =(',GridSizeX,',',GridSizeB,')'
write(*,'(A,F6.3)') ' | slope =',slope
write(*,'(A,I3)') ' | hadrons to grid =',numberOfHadrons
write(*,*) ' | list of hadrons in grid =(',hadronsInGRID,')'
end if
CLOSE (51, STATUS='KEEP')
allocate(gridMain(0:GridSizeX,0:GridSizeB,-5:5,1:numberOfHadrons))
allocate(boundaryValues(0:GridSizeX,-5:5,1:numberOfHadrons))
allocate(lambdaNP_grid(1:lambdaNPlength))
c4_global=1d0
call ModelInitialization(lambdaNP)
!!!! no x-dependance in Mu FOREVER
IsMuXdependent=.false.
!!!!!!!Checking the lambda-dependance of bSTAR
bSTAR_lambdaDependent=testbSTAR()
if(bSTAR_lambdaDependent) then
if(outputLevel>2) write(*,*) 'arTeMiDe.wgtTMDPDF: bSTAR is dependent on lambda'
else
if(outputLevel>2) write(*,*) 'arTeMiDe.wgtTMDPDF: bSTAR is independent on lambda'
end if
!!! if fnp depende on z or bSTAR depeds on lambda
!!! grid must be recalculate ech time. It canbe saved to single IsFnpZdependent
if(bSTAR_lambdaDependent) then
IsFnpZdependent=.true.
if(outputLevel>2) write(*,*) 'arTeMiDe.wgtTMDPDF: ............. convolution is lambda sensitive.'
end if
started=.true.
messageCounter=0
if(outputLevel>0) write(*,*) color('----- arTeMiDe.wgtTMDPDF '//trim(version)//': .... initialized',c_green)
if(outputLevel>1) write(*,*) ' '
end subroutine wgtTMDPDF_Initialize
!! call for parameters from the model
subroutine wgtTMDPDF_SetReplica_optional(num,buildGrid, gluonRequired)
integer,intent(in):: num
logical,optional,intent(in):: buildGrid,gluonRequired
real(dp),allocatable::NParray(:)
call GetReplicaParameters(num,NParray)
if(present(buildGrid)) then
if(present(gluonRequired)) then
call wgtTMDPDF_SetLambdaNP_usual(NParray,buildGrid=buildGrid,gluonRequired=gluonRequired)
else
call wgtTMDPDF_SetLambdaNP_usual(NParray,buildGrid=buildGrid)
end if
else
if(present(gluonRequired)) then
call wgtTMDPDF_SetLambdaNP_usual(NParray,gluonRequired=gluonRequired)
else
call wgtTMDPDF_SetLambdaNP_usual(NParray)
end if
end if
end subroutine wgtTMDPDF_SetReplica_optional
!! call QCDinput to change the PDF replica number
!! unset the grid, since it should be recalculated fro different PDF replica.
subroutine wgtTMDPDF_SetPDFreplica(rep,hadron)
integer,intent(in):: rep,hadron
logical::newPDF
call QCDinput_SethPDFreplica(rep,hadron,newPDF)
if(newPDF) then
gridReady=.false.
call wgtTMDPDF_resetGrid()
else
if(outputLevel>1) write(*,"('arTeMiDe ',A,': replica of PDF (',I4,' is the same as the used one. Nothing is done!')") &
moduleName, rep
end if
end subroutine wgtTMDPDF_SetPDFreplica
!!!Sets the non-pertrubative parameters lambda
!!! carries additionl option to build the grid
!!! if need to build grid, specify the gluon required directive.
subroutine wgtTMDPDF_SetLambdaNP_usual(lambdaIN,buildGrid, gluonRequired)
real(dp),intent(in)::lambdaIN(:)
logical,optional,intent(in) :: buildGrid,gluonRequired
real(dp),dimension(1:lambdaNPlength)::lambdaOLD
logical::IsNewValues
integer::i,ll
messageCounter=0
if(present(buildGrid)) prepareGrid=buildGrid
if(present(gluonRequired)) withGluon=gluonRequired
ll=size(lambdaIN)
if(ll<lambdaNPlength) then
if(outputLevel>0) write(*,"(A,I3,A,I3,')')")&
WarningString('SetLambdaNP:length of lambdaNP(',moduleName),&
ll,color(') is less then requred (',c_red),lambdaNPlength
if(outputLevel>0) write(*,*)color(' Rest parameters are replaced by zeros!',c_red)
lambdaNP=0d0*lambdaNP
lambdaNP(1:ll)=lambdaIN(1:ll)
else if (ll>lambdaNPlength) then
if(outputLevel>0) write(*,"(A,I3,A,I3,')')")&
WarningString('SetLambdaNP:length of lambdaNP(',moduleName),&
ll,color(') is greater then requred (',c_red),lambdaNPlength
if(outputLevel>0) write(*,*)color(' Array is truncated!',c_red)
lambdaNP(1:lambdaNPlength)=lambdaIN(1:lambdaNPlength)
else
lambdaOLD=lambdaNP
lambdaNP=lambdaIN
end if
lambdaOLD=lambdaNP
lambdaNP=lambdaIN
IsNewValues=.false.
do i=1,lambdaNPlength
if(ABS(lambdaNP(i)-lambdaOLD(i))>10d-10) then
IsNewValues=.true.
exit
end if
end do
if(IsNewValues.and.(outputLevel>2)) write(*,*) 'arTeMiDe.',moduleName,': NPparameters reset = (',lambdaNP,')'
call ModelUpdate(lambdaNP)
!! further if's are only for griding
if(prepareGrid) then !!!grid is requred
if(IsNewValues) then !! values are new
if(gridReady) then !!! grid is already build
if(IsFnpZdependent) then !!! check the z-dependance of FNP
!! if it is z- dependent, rebuild the grid
gridReady=.false.
call MakeGrid()
gridReady=.true.
else !!! if z-Independent just do nothing.
if(outputLevel>2) write(*,*) 'arTeMiDe.',moduleName,': the values are to be restored from the initial grid'
end if
else !!! grid is not ready (how comes?)
call MakeGrid()
gridReady=.true.
end if
else !! values are old
if(gridReady) then !!! grid is already build
!!!nothing to do
else!!rare option then parameters are not new but grit is not build
if(outputLevel>2) write(*,*) 'arTeMiDe.',moduleName,': parameters are not reset. But grid is not ready.'
call MakeGrid()
gridReady=.true.
end if
end if
else
gridReady=.false.
end if
end subroutine wgtTMDPDF_SetLambdaNP_usual
!!! returns current value of NP parameters
subroutine wgtTMDPDF_CurrentNPparameters(var)
real(dp),dimension(1:lambdaNPlength),intent(out)::var
var=lambdaNP
end subroutine wgtTMDPDF_CurrentNPparameters
!!! This subroutine ask for the grid reconstruction (or destruction)
subroutine wgtTMDPDF_resetGrid(buildGrid,gluonRequired)
logical,optional,intent(in)::buildGrid,gluonRequired
logical::previousState
if(present(buildGrid)) prepareGrid=buildGrid
if(present(gluonRequired)) withGluon=gluonRequired
previousState=gridReady
gridReady=.false.
!! we recalculate grid only if it was already calculated!
if(prepareGrid .and. previousState) then
if(outputLevel>1) write(*,*) 'arTeMiDe ',moduleName,': Grid Reset. with c4=',c4_global
call MakeGrid()
gridReady=.true.
end if
end subroutine wgtTMDPDF_resetGrid
!!!! this routine set the variations of scales
!!!! it is used for the estimation of errors
subroutine wgtTMDPDF_SetScaleVariation(c4_in)
real(dp),intent(in)::c4_in
if(c4_in<0.1d0 .or. c4_in>10.d0) then
if(outputLevel>0) write(*,*) WarningString('variation in c4 is enourmous. c4 is set to 2',moduleName)
c4_global=2d0
call wgtTMDPDF_resetGrid()
else if(abs(c4_in-c4_global)<tolerance) then
if(outputLevel>1) write(*,*) color('wgtTMDPDF: c4-variation is ignored. c4='//real8ToStr(c4_global),c_yellow)
else
c4_global=c4_in
if(outputLevel>1) write(*,*) color('wgtTMDPDF: set scale variations constant c4 as:'//real8ToStr(c4_global),c_yellow)
call wgtTMDPDF_resetGrid()
end if
end subroutine wgtTMDPDF_SetScaleVariation
end module wgtTMDPDF
| 16,933 | 33.629857 | 128 | f90 |
artemide-public | artemide-public-master/src/Code/IO_functions.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 2.02
!
! The module that contains support functions for input-output used within artemide
!
! A.Vladimirov (08.09.2019)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module IO_functions
use aTMDe_numerics
implicit none
!!!! colors for colring of the ansi-output
character(len=1), parameter :: c_esc = achar(27)
character(len=2), parameter :: c_start = c_esc // '['
character(len=1), parameter :: c_end = 'm'
character(len=*), parameter :: c_black = '30'
character(len=*), parameter :: c_black_bold = '30;1'
character(len=*), parameter :: c_red = '31'
character(len=*), parameter :: c_red_bold = '31;1'
character(len=*), parameter :: c_green = '32'
character(len=*), parameter :: c_green_bold = '32;1'
character(len=*), parameter :: c_yellow = '33'
character(len=*), parameter :: c_yellow_bold = '33;1'
character(len=*), parameter :: c_blue = '34'
character(len=*), parameter :: c_magenta = '35'
character(len=*), parameter :: c_cyan = '36'
character(len=*), parameter :: c_white = '37'
character(len=*), parameter :: c_clear = c_start // '0' // c_end
interface numToStr
module procedure intToStr,realToStr,real8ToStr
end interface numToStr
contains
!!!the function that makes string-ansi-colored
!!!initial code copied from http://fortranwiki.org/fortran/show/ansi_colors
function color(str, code) result(out)
character(len=*), intent(in) :: str
character(len=*), intent(in) :: code
character(len=:), allocatable :: out
out = c_start // code // c_end // str // c_clear
end function color
!!! move the CURRET in streem to the next line that starts from pos (5 char)
!!! this function is universally used in all reading of constants-files
subroutine MoveTO(streem,pos)
integer,intent(in)::streem
character(len=5)::pos
character(len=300)::line
integer::IOstatus
do
read(streem,'(A)',IOSTAT=IOstatus) line
if(IOstatus>0) then
write(*,*) ErrorString("Error in attemt to read the line ("//pos//")", "aTMDe_IO_system")
stop
else if(IOstatus<0) then
write(*,*) ErrorString("EndOfFile during search of the line ("//pos//")", "aTMDe_IO_system")
stop
else
if(line(1:5)==pos) exit
end if
end do
end subroutine MoveTO
!!! write list of short integers (I5) to streem spliting by commas
!!! used to fill constants-file
subroutine writeShortIntegerList(streem, list)
integer::streem,i
integer,intent(in)::list(:)
do i=1,size(list)-1
write(streem,"(I5,', ')",advance='no') list(i)
end do
write(streem,"(I5)") list(size(list))
end subroutine writeShortIntegerList
!--------------------convertation
!!! convert a real(dp) number to a string
function real8ToStr(num)
real(dp),intent(in)::num
character(len=16)::real8ToStr
write(real8ToStr,"(F16.10)") num
end function real8ToStr
!!! convert a real number to a string
function realToStr(num)
real,intent(in)::num
character(len=12)::realToStr
write(realToStr,*) num
end function realToStr
!!! convert an integer number to a string
function intToStr(num)
integer,intent(in)::num
character(len=8)::intToStr
write(intToStr,"(I8)") num
end function intToStr
!! convert an short integer number to a string
function int4ToStr(num)
integer,intent(in)::num
character(len=4)::int4ToStr
write(int4ToStr,"(I4)") num
end function int4ToStr
!!!Common format of Warning line in artemide
function WarningString(str, moduleName) result(out)
character(len=*), intent(in) :: str
character(len=*), intent(in) :: moduleName
character(len=:), allocatable :: out
out = color('WARNING: artemide.'//trim(moduleName)//': '//trim(str),c_red)
end function WarningString
!!!Common format of error line in artemide
function ErrorString(str, moduleName) result(out)
character(len=*), intent(in) :: str
character(len=*), intent(in) :: moduleName
character(len=:), allocatable :: out
out = color('ERROR: artemide.'//trim(moduleName)//': '//trim(str),c_red_bold)
end function ErrorString
!--------------------------- massage trigger counter functions
!!!! the routine shows a line of warning. and increase the counter
!!!! Use this one for WARNINGS
subroutine Warning_Raise(str,messageCounter,messageTrigger,moduleName)
integer::messageCounter
integer,intent(in)::messageTrigger
character(len=*), intent(in) :: moduleName
character(len=*), intent(in) :: str
if(messageCounter<=messageTrigger) then
write(*,*) WarningString(str,moduleName)
messageCounter=messageCounter+1
if(messageCounter>messageTrigger) then
write(*,*) color('artemide.'//trim(moduleName)//&
': number of warning massages hits the limit. Further warnings are suppressed',c_red)
end if
end if
end subroutine Warning_Raise
end module IO_functions
| 5,059 | 34.138889 | 104 | f90 |
artemide-public | artemide-public-master/src/Code/IntegrationRoutines.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 2.04
!
! The module that contains standard integration routines (mainly used for bin integration)
! the main difference from library routines is the absence of checks (boundaries, etc.),
! the checks are done in the artemide main code.
!
! Currently it incorporates:
! S5: 5-point Simpsons
! SN: N-point Simpsons (N=even)
! SA: Adaptive Simpsons
! G7: 7-point Gauss
! K15: 15-point Kronrod
! GK: Adaptive Gauss Kronrod 7/15
!
! A.Vladimirov (17.04.2020)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module IntegrationRoutines
use aTMDe_numerics
implicit none
private
INCLUDE '../Tables/G7K15.f90'
public::Integrate_S5,Integrate_SN,Integrate_SA
public::Integrate_G7,Integrate_K15,Integrate_GK
contains
!!! Simpson by 5 points
!!! Use it for estimations only!
!!! f:: function of 1 variable
!!! xMin, and xMax boundaries of the integral. xMax>xMin !!
function Integrate_S5(f,xMin,xMax)
real(dp)::f,Integrate_S5
real(dp),intent(in)::xMin,xMax
real(dp)::delta,x2,x3,x4,f1,f2,f3,f4,f5
delta=xMax-xMin
x2=xMin+delta/4_dp
x3=xMin+delta/2_dp
x4=xMax-delta/4_dp
f1=f(xMin)
f2=f(x2)
f3=f(x3)
f4=f(x4)
f5=f(xMax)
Integrate_S5=delta*(f1+4_dp*f2+2_dp*f3+4_dp*f4+f5)/12_dp
end function Integrate_S5
!!! Simpson by N points
!!! f:: function of 1 variable
!!! xMin, and xMax boundaries of the integral. xMax>xMin !!
!!! N is an even integer N>2
function Integrate_SN(f,xMin,xMax,N)
real(dp)::f,Integrate_SN
real(dp),intent(in)::xMin,xMax
real(dp)::delta,inter,xCur
integer::N,i
!!!!!!!!!!!!!!!!!!!fixed number Simpsons
delta=(xMax-xMin)/N
inter=f(xMin) !!!! first term
!!!! even terms
do i=1,N-1,2
xCur=xMin+i*delta
inter=inter+4_dp*f(xCur)
end do
!!!! odd term
do i=2,N-2,2
xCur=xMin+i*delta
inter=inter+2_dp*f(xCur)
end do
inter=inter+f(xMax)!!!! last term
Integrate_SN=delta/3_dp*inter
end function Integrate_SN
!!! Simpson adaptive
!!! f:: function of 1 variable
!!! xMin, and xMax boundaries of the integral. xMax>xMin !!
!!! tolerance is relative (it is wieghted by approximate value of integral)
function Integrate_SA(f,xMin,xMax,tolerance)
real(dp)::f,Integrate_SA,tolerance,eps
real(dp),intent(in)::xMin,xMax
real(dp)::delta,x2,x3,x4,f1,f2,f3,f4,f5
delta=xMax-xMin
x2=xMin+delta/4_dp
x3=xMin+delta/2_dp
x4=xMax-delta/4_dp
f1=f(xMin)
f2=f(x2)
f3=f(x3)
f4=f(x4)
f5=f(xMax)
!!! the error parameter is weighted with the approximate integral size
eps=tolerance*abs(delta*(f1+4_dp*f2+2_dp*f3+4_dp*f4+f5)/12_dp)
Integrate_SA=SA_Rec(f,xMin,x2,x3,f1,f2,f3,eps)+SA_Rec(f,x3,x4,xMax,f3,f4,f5,eps)
end function Integrate_SA
recursive function SA_Rec(f,x1,x3,x5,f1,f3,f5,eps) result(res)
real(dp)::f,x1,x2,x3,x4,x5
real(dp)::f1,f2,f3,f4,f5,eps,res
real(dp)::value15,value135
x2=(x1+x3)/2_dp
f2=f(x2)
x4=(x3+x5)/2_dp
f4=f(x4)
value15=(x5-x1)*(f1+4_dp*f3+f5)/6_dp
value135=(x5-x1)*(f1+4_dp*f2+2_dp*f3+4_dp*f4+f5)/12_dp
If(ABS(value135-value15)>eps) then
res=SA_Rec(f,x1,x2,x3,f1,f2,f3,eps)+SA_Rec(f,x3,x4,x5,f3,f4,f5,eps)
else
res=value135
end if
end function SA_Rec
!!! Gauss 7-points
!!! f:: function of 1 variable
!!! xMin, and xMax boundaries of the integral. xMax>xMin !!
function Integrate_G7(f,xMin,xMax)
real(dp)::f,Integrate_G7
real(dp),intent(in)::xMin,xMax
real(dp)::delta,av,inter
integer::i
delta=(xMax-xMin)/2_dp
av=(xMax+xMin)/2_dp
inter=0_dp
do i=1,7
inter=inter+Wi_g77(i)*f(Xi_g7(i)*delta+av)
end do
Integrate_G7=delta*inter
end function Integrate_G7
!!! Kronrod 15-points
!!! f:: function of 1 variable
!!! xMin, and xMax boundaries of the integral. xMax>xMin !!
function Integrate_K15(f,xMin,xMax)
real(dp)::f,Integrate_K15
real(dp),intent(in)::xMin,xMax
real(dp)::delta,av,inter
integer::i
delta=(xMax-xMin)/2_dp
av=(xMax+xMin)/2_dp
inter=0_dp
do i=1,15
inter=inter+Wi_k15(i)*f(Xi_k15(i)*delta+av)
end do
Integrate_K15=delta*inter
end function Integrate_K15
!!! Gauss-Kronrod 7/15 adaptive
!!! f:: function of 1 variable
!!! xMin, and xMax boundaries of the integral. xMax>xMin !!
!!! tolerance is relative (it is wieghted by approximate value of integral)
function Integrate_GK(f,xMin,xMax,tolerance)
real(dp)::f,Integrate_GK
real(dp),intent(in)::xMin,xMax
real(dp)::delta,av,g7,k15,eps,tolerance,fI
integer::i
delta=(xMax-xMin)/2_dp
av=(xMax+xMin)/2_dp
g7=0_dp
k15=0_dp
do i=1,15
fI=f(Xi_k15(i)*delta+av)
g7=g7+Wi_g7(i)*fI
k15=k15+Wi_k15(i)*fI
end do
eps=delta*abs(k15)*tolerance
if(delta*abs(k15-g7)>eps) then
Integrate_GK=GK_Rec(f,xMin,av,eps)+GK_Rec(f,av,xMax,eps)
else
Integrate_GK=delta*k15
end if
end function Integrate_GK
recursive function GK_Rec(f,xMin,xMax,eps) result(res)
real(dp)::f,res
real(dp),intent(in)::xMin,xMax
real(dp)::delta,av,g7,k15,eps,fI
integer::i
delta=(xMax-xMin)/2_dp
av=(xMax+xMin)/2_dp
g7=0_dp
k15=0_dp
do i=1,15
fI=f(Xi_k15(i)*delta+av)
g7=g7+Wi_g7(i)*fI
k15=k15+Wi_k15(i)*fI
end do
if(delta*abs(k15-g7)>eps) then
res=GK_Rec(f,xMin,av,eps)+GK_Rec(f,av,xMax,eps)
else
res=delta*k15
end if
end function GK_Rec
end module IntegrationRoutines
| 5,842 | 23.654008 | 95 | f90 |
artemide-public | artemide-public-master/src/Code/aTMDe_Numerics.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 2.03
!
! Contains the definition of the precision and global numeric constants, used in computation
! Used in each artemide module.
!
! A.Vladimirov (10.02.2020)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module aTMDe_Numerics
implicit none
public
!!-------------------------Definition of presision kinds----------------
!!-------------------------artemide uses dp presision everywhere -------
!!-------------------------declare as real(dp)
integer, parameter :: sp = selected_real_kind(6, 37)
integer, parameter :: dp = selected_real_kind(15, 307)
integer, parameter :: qp = selected_real_kind(33, 4931)
!!! for the complex nimbers I use COMPLEX*16
!!------------------------Constants
!!------------------------written up to 64 digits (in case double-precision will be rised)
!!! Zeta-functions
real(dp),parameter::zeta2=1.644934066848226436472415166646025189218949901206798437735558229_dp
real(dp),parameter::zeta3=1.202056903159594285399738161511449990764986292340498881792271555_dp
real(dp),parameter::zeta4=1.082323233711138191516003696541167902774750951918726907682976215_dp
real(dp),parameter::zeta5=1.036927755143369926331365486457034168057080919501912811974192678_dp
real(dp),parameter::zeta6=1.017343061984449139714517929790920527901817490032853561842408664_dp
!!! Pi 's
real(dp),parameter::piHalf=1.570796326794896619231321691639751442098584699687552910487472296_dp !!pi/2
real(dp),parameter::pi=3.141592653589793238462643383279502884197169399375105820974944592_dp !!pi
real(dp),parameter::pix2=6.283185307179586476925286766559005768394338798750211641949889185_dp !!2*pi
real(dp),parameter::pix4=12.56637061435917295385057353311801153678867759750042328389977837_dp !!4*pi
!!! Pi^2 's
real(dp),parameter::pi2=9.869604401089358618834490999876151135313699407240790626413349376_dp !!pi^2
real(dp),parameter::pi2x2=19.73920880217871723766898199975230227062739881448158125282669875_dp !!2*pi^2
real(dp),parameter::pi2x4=39.47841760435743447533796399950460454125479762896316250565339750_dp !!4*pi^2
!!! Pi^4 's
real(dp),parameter::pi4=97.40909103400243723644033268870511124972758567268542169146785939_dp !!pi^4
real(dp),parameter::pi4x2=194.8181820680048744728806653774102224994551713453708433829357188_dp !!2*pi^4
real(dp),parameter::pi4x4=389.6363641360097489457613307548204449989103426907416867658714376_dp !!4*pi^4
!!! C0 -constant (typical TMD constant)
real(dp), parameter :: C0_const=1.122918967133770339648286429581761573531420773850306336308318152_dp !!=2Exp[-gamma_E]
real(dp), parameter :: C0_inv_const=0.8905362089950989926182520515535897745848226071517151026788329383_dp !!=Exp[gamma_E]/2
end module aTMDe_Numerics
| 2,858 | 52.943396 | 126 | f90 |
artemide-public | artemide-public-master/src/Code/Grids/TMDGrid-B-2.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 1.4
!
! This file contains the part of the code, which is common for all TMD-evaluation modules that operates at twist-2
! It shares the variables with the module where it is inlucded (as a text)
! Such idiotic structure is needed since, FORTRAN does not allow inheritance.
!
! Be AWARE of possible clash of variable names.
!
! This part is devoted to the Grid evaluation
!
! v.2.00 Large-b evaluation changed AV (25.03.2019)
! v.2.01 Cosmetic changes AV (25.04.2019)
!
! A.Vladimirov (08.10.2018)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!
!!!! THIS IS THE SAME CODE AS IN TMDGRID-B
!!!! THE ONLY DIFFERENCE THAT FNP is called without z-argument
!!!!
!---------------------------------------------------------------------------------------
!Used global variables:
! outputlevel, moduleName
! numberOfHadrons, hadronsInGRID
! lambdaNP_grid, lambdaNP, FNP
! aTMDe_Numerics, IO_functions functions
! + variables defined in TMDGrid-B-VAR.f90
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Griding functions !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!! this subroutine create grid. It is called only from the uTMDPDF_SetLambdaNP function.
subroutine MakeGrid()
real(dp):: x_local,b_local
!!!size of grid is power of 2, to make it testable and reusable. order is the current power.
integer:: iX,iB,j,h
real(dp),dimension(-5:5)::checkValue,dummyfNP
real(dp)::maxValue,eps,epsB,epsX,B_BAD,x_BAD,eps_av,time1,time2
integer::grid_size
real(dp),dimension(0:GridSizeX,1:2,-5:5,1:numberOfHadrons)::smallGrid
real(dp)::v1_BAD,v2_BAD
if(numberOfHadrons==1 .and. hadronsInGRID(1)==0) return
call cpu_time(time1)
if(outputlevel>2) write(*,*) 'arTeMiDe.',moduleName,' starts to build grid. At ',time1
!!!save the parameters on which the grid is build
lambdaNP_grid=lambdaNP
bFactor=bGrid_Max/(EXP(slope)-1d0) !!! often used combination
slopeFactor=slope/REAL(GridSizeB)
! goto 111
!!!We use the following grid
!! b=(e^{a i/imax}-1)/(e^a-1)*b_Max
!! where a=slope. If slope higher more points concentrated at b->0
!! For x we use the grid
!! x=(xMin)^(i/imax)
do h=1,numberOfHadrons
do iX=0,GridSizeX
do iB=0,GridSizeB
x_local=xGrid_Min**(REAL(iX)/REAL(GridSizeX))
b_local=(EXP(slopeFactor*REAL(iB))-1d0)*bFactor
if(x_local==1d0) then
gridMain(iX,iB,-5:5,h)=0d0
else
if(withGluon) then
gridMain(iX,iB,-5:5,h)=x_local*Common_lowScale50(x_local,b_local,hadronsInGRID(h))
else
gridMain(iX,iB,-5:5,h)=x_local*Common_lowScale5(x_local,b_local,hadronsInGRID(h))
end if
end if
end do
end do
if(outputLevel>1 .and. numberOfHadrons>1) write(*,'(" ",A,": Grid for hadron ",I3," is done")') moduleName,hadronsInGRID(h)
end do
!!!!!!!!!!!!!**************************************************************************************************************
!!!!!!!!!!!!!**************************************************************************************************************
!!!!!!!!!!!!!*****************************TALE PART************************************************************************
!!!!!!!!!!!!!**************************************************************************************************************
!!!The high B (b>bGrid_Max) tales are approximated as value(bGrid_Max)/fNP(x,x,bGrid_Max) * fNP(x,x,b)
!!! this approximation is exact if coeff-function freeze at large b.
111 do h=1,numberOfHadrons
do iX=1,GridSizeX
x_local=xGrid_Min**(REAL(iX)/REAL(GridSizeX))
b_local=bGrid_Max
if(withGluon) then
boundaryValues(iX,-5:5,h)=x_local*Common_lowScale50(x_local,b_local,hadronsInGRID(h))
else
boundaryValues(iX,-5:5,h)=x_local*Common_lowScale5(x_local,b_local,hadronsInGRID(h))
boundaryValues(iX,0,h)=0d0
end if
dummyfNP=FNP(x_local,b_local,hadronsInGRID(h),lambdaNP_grid)
!!!! if fNP=0, here, we check is C x f fNP=0, if so, we save 1, otherwise exception
do j=-5,5
if(dummyfNP(j)==0d0) then
if(boundaryValues(iX,j,h)/=0d0 .and. outputLevel>0) then
call Warning_Raise('error in evaluation of boundary for grid',messageCounter,messageTrigger,moduleName)
if(messageCounter<messageTrigger) then
write(*,*) '----- information on last call -----'
write(*,*) 'fNP=',dummyfNP(j),'boundary=',boundaryValues(iX,j,h), 'for (h,f)=(',hadronsInGRID(h),j,')'
write(*,*) 'Continue with value=1'
end if
end if
boundaryValues(iX,j,h)=1d0
else
!!!normal case
boundaryValues(iX,j,h)=boundaryValues(iX,j,h)/dummyfNP(j)
end if
end do
end do
end do
call cpu_time(time2)
if(outputlevel>1) then
if(numberOfHadrons>1) then
write(*,'(" ",A,": Grids are built (",I5," x",I5,") calc.time=",F6.2,"s. ")')&
moduleName, GridSizeX,GridSizeB, time2-time1
else
write(*,'(" ",A,": Grid is built (",I5," x",I5,") calc.time=",F6.2,"s. ")')&
moduleName, GridSizeX,GridSizeB, time2-time1
end if
end if
!!check the grid
!! we pass though grid restoring a point from near-by points
!! in this way we estimate error
if(outputLevel>2) then
do h=1,numberOfHadrons
epsB=0d0
epsX=0d0
eps_av=0d0
grid_size=0
!check b-grid
do iX=0,GridSizeX
maxValue=MAXVAL(ABS(gridMain(iX,2:GridSizeB,1:3,h)))
if(maxValue>0d0) then
do iB=2,GridSizeB-4
checkValue=((-gridMain(iX,iB,-5:5,h)+4d0*gridMain(iX,iB+1,-5:5,h)+4d0*gridMain(iX,iB+3,-5:5,h)&
-gridMain(iX,iB+4,-5:5,h))/6d0-gridMain(iX,iB+2,-5:5,h))
if(.not.withGluon) checkValue(0)=0
eps=MAXVAL(ABS(checkValue))/maxValue
eps_av=eps_av+checkValue(MAXLOC(ABS(checkValue),1)-6)/maxValue
grid_size=grid_size+1
if(eps>epsB) then
epsB=eps
B_BAD=(EXP(slopeFactor*REAL(iB+2))-1d0)*bFactor
x_BAD=xGrid_Min**(REAL(iX)/REAL(GridSizeX))
end if
end do
end if
end do
! write(*,*) 'The worst B reconstraction with ',epsB, 'at (x,b)=',x_BAD,B_BAD
! check x-grid
do iB=0,GridSizeB
if(withGluon) then
maxValue=MAXVAL(ABS(gridMain(0:GridSizeX,iB,0:3,h)))
else
maxValue=MAXVAL(ABS(gridMain(0:GridSizeX,iB,1:3,h)))
end if
if(maxValue>0d0) then
do iX=0,GridSizeX-4
checkValue=((-gridMain(iX,iB,-5:5,h)+4d0*gridMain(iX+1,iB,-5:5,h)+4d0*gridMain(iX+3,iB,-5:5,h)&
-gridMain(iX+4,iB,-5:5,h))/6d0-gridMain(iX+2,iB,-5:5,h))
if(.not.withGluon) checkValue(0)=0
eps=MAXVAL(ABS(checkValue))/maxValue
eps_av=eps_av+eps
grid_size=grid_size+1
if(eps>epsX) then
epsX=eps
B_BAD=(EXP(slopeFactor*REAL(iB))-1d0)*bFactor
x_BAD=xGrid_Min**(REAL(iX+2)/REAL(GridSizeX))
end if
end do
end if
end do
! write(*,*) 'The worst X reconstraction with ',epsX, 'at (x,b)=',x_BAD,B_BAD
write(*,'(" ",A,": Grid (for hadron ",I3,") av.badness =",ES12.3)')&
moduleName,hadronsInGRID(h),eps_av/REAL(grid_size)
end do
end if
end subroutine MakeGrid
function ExtractFromGrid(x,bT,hadron)
real(dp),intent(in)::x,bT
integer,intent(in)::hadron
real(dp),dimension(-5:5)::ExtractFromGrid
real(dp),dimension(0:3,-5:5):: interI
real(dp),dimension(-5:5)::dummyfNP
real(dp)::indexX,indexB,fX,fB
integer::i,iX,iB,h
real(dp)::var1,var2,var3,var4 !!dummyvariables
!!!searching for hadron
h=0
do i=1,numberOfHadrons
if(hadronsInGRID(i)==hadron) then
h=i
exit
end if
end do
if(h==0) then
write(*,*) ErrorString('the hadron '//numToStr(hadron)//' is not found in the grid',moduleName)
write(*,*) 'arTeMiDe: evaluation STOP'
stop
end if
if(x<xGrid_Min) then
write(*,*) ErrorString('The TMD with x ='//numToStr(x)//'is called. Current grid size is up to '//&
numToStr(xGrid_Min)//'. Enlarge boundaries.',moduleName)
write(*,*) 'arTeMiDe: evaluation STOP'
stop
end if
if(x>1d0) then
write(*,*) ErrorString('The TMD with x >1 ('//numToStr(x)//') is called.',moduleName)
write(*,*) 'arTeMiDe: evaluation STOP'
stop
end if
if(bT<0d0) then
write(*,*) ErrorString('The TMD with bT <0 ('//numToStr(bT)//') is called.',moduleName)
write(*,*) 'arTeMiDe: evaluation STOP'
stop
end if
!!!!!!!!!Finding X index
indexX=GridSizeX*LOG(x)/LOG(xGrid_Min)
iX=INT(indexX)
if(iX>0) then
if(iX<GridSizeX-1) then !!normal restoration X
iX=INT(indexX)
else !!X in the last interval
iX=INT(indexX)-2
end if
else !! X in the first inteval
iX=INT(indexX)+1
end if
fX=indexX-iX !!! fraction part (automatically shifted by +- 1 if needed)
if(bT>bGrid_Max) then
!!!!here will code for large b
!!! we interpolate over x the boundary value
var1=-fX*(fX-1d0)*(fX-2d0)
var2=3d0*(fX+1d0)*(fX-1d0)*(fX-2d0)
var3=-3d0*(fX+1d0)*fX*(fX-2d0)
var4=(fX+1d0)*fX*(fX-1d0)
ExtractFromGrid=FNP(x,bT,hadronsInGRID(h),lambdaNP_grid)*&
(var1*boundaryValues(iX-1,-5:5,h)+var2*boundaryValues(iX,-5:5,h)&
+var3*boundaryValues(iX+1,-5:5,h)+var4*boundaryValues(iX+2,-5:5,h))/6d0/x
else!!! b inside the main region
indexB=LOG(1d0+bT/bFactor)/slopeFactor
iB=INT(indexB)
if(iB>0) then
if(iB<GridSizeB-1) then !!normal restoration B
iB=INT(indexB)
else !!B in the last interval
iB=INT(indexB)-2
end if
else !! B in the first inteval
iB=INT(indexB)+1
end if
fB=indexB-iB !!! fraction part (automatically shifted by +- 1 if needed)
!! intepolation procedure
var1=-fB*(fB-1d0)*(fB-2d0)
var2=3d0*(fB+1d0)*(fB-1d0)*(fB-2d0)
var3=-3d0*(fB+1d0)*fB*(fB-2d0)
var4=(fB+1d0)*fB*(fB-1d0)
interI(0,-5:5)=(var1*gridMain(iX-1,iB-1,-5:5,h)+var2*gridMain(iX-1,iB,-5:5,h)&
+var3*gridMain(iX-1,iB+1,-5:5,h)+var4*gridMain(iX-1,iB+2,-5:5,h))/6d0
interI(1,-5:5)=(var1*gridMain(iX,iB-1,-5:5,h)+var2*gridMain(iX,iB,-5:5,h)&
+var3*gridMain(iX,iB+1,-5:5,h)+var4*gridMain(iX,iB+2,-5:5,h))/6d0
interI(2,-5:5)=(var1*gridMain(iX+1,iB-1,-5:5,h)+var2*gridMain(iX+1,iB,-5:5,h)&
+var3*gridMain(iX+1,iB+1,-5:5,h)+var4*gridMain(iX+1,iB+2,-5:5,h))/6d0
interI(3,-5:5)=(var1*gridMain(iX+2,iB-1,-5:5,h)+var2*gridMain(iX+2,iB,-5:5,h)&
+var3*gridMain(iX+2,iB+1,-5:5,h)+var4*gridMain(iX+2,iB+2,-5:5,h))/6d0
!!! linear interpolation procedure
! interI(0,-5:5)=fB*gridMain(iX-1,iB,-5:5,h)+(1d0-fB)*gridMain(iX-1,iB+1,-5:5,h)
! interI(1,-5:5)=fB*gridMain(iX,iB,-5:5,h)+(1d0-fB)*gridMain(iX,iB+1,-5:5,h)
! interI(2,-5:5)=fB*gridMain(iX+1,iB,-5:5,h)+(1d0-fB)*gridMain(iX+1,iB+1,-5:5,h)
! interI(3,-5:5)=fB*gridMain(iX+2,iB,-5:5,h)+(1d0-fB)*gridMain(iX+2,iB+1,-5:5,h)
var1=-fX*(fX-1d0)*(fX-2d0)
var2=3d0*(fX+1d0)*(fX-1d0)*(fX-2d0)
var3=-3d0*(fX+1d0)*fX*(fX-2d0)
var4=(fX+1d0)*fX*(fX-1d0)
ExtractFromGrid=(var1*interI(0,-5:5)+var2*interI(1,-5:5)&
+var3*interI(2,-5:5)+var4*interI(3,-5:5))/6d0/x
end if
do i=-5,5
if(ISNAN(ExtractFromGrid(i))) then
write(*,*) ErrorString('grid extraction produced NaN. EVALUATION STOP',moduleName)
write(*,*) '----- information on last call -----'
write(*,*) 'bT=',bT,' i=',i, ' extraction=',ExtractFromGrid(i)
write(*,*) 'interI=',interI(0:3,i)
dummyfNP=FNP(x,bT,hadronsInGRID(h),lambdaNP_grid)
write(*,*) 'fNP=', dummyfNP(i)
stop
end if
end do
end function ExtractFromGrid
| 12,003 | 34.514793 | 127 | f90 |
artemide-public | artemide-public-master/src/Code/Grids/TMDGrid-B-VAR.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 1.4
!
! This file contains the part of the code, which is common for all TMD-evaluation modules that operates at twist-2
! ONLY DECLARATION OF VARIABLES that are used in twist2Convolution
! It shares the variables with the module where it is inlucded (as a text)
! Such idiotic structure is needed since, FORTRAN does not allow inheritance.
!
! Be AWARE of possible clash of variable names.
!
! This part is devoted to the Grid evaluation
!
! A.Vladimirov (08.10.2018)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
real(dp)::xGrid_Min=0.00001d0 !!!!min x in grid. if lower requared remake it
real(dp)::bGrid_Max=100d0 !!!max b in grid if higher requared, extrapolation is done
integer::GridSizeX=250
integer::GridSizeB=750
real(dp) :: slope=10d0
real(dp), dimension(:,:,:,:), allocatable :: gridMain !!!! THIS IS HUGE(!) matrix for the grid
real(dp), dimension(:,:,:), allocatable :: boundaryValues !!!! for b>bGrid_Max we approximate by fNP. With prefactor given by boundary value/fNP(bMax)
real(dp):: bFactor,slopeFactor !! some often used combinations
| 1,220 | 49.875 | 152 | f90 |
artemide-public | artemide-public-master/src/Code/Grids/TMDGrid-B.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 1.4
!
! This file contains the part of the code, which is common for all TMD-evaluation modules that operates at twist-2
! It shares the variables with the module where it is inlucded (as a text)
! Such idiotic structure is needed since, FORTRAN does not allow inheritance.
!
! Be AWARE of possible clash of variable names.
!
! This part is devoted to the Grid evaluation
!
! v.2.00 Large-b evaluation changed AV (25.03.2019)
! v.2.01 Cosmetic changes AV (25.04.2019)
!
! A.Vladimirov (08.10.2018)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------------------------
!Used global variables:
! outputlevel, moduleName
! numberOfHadrons, hadronsInGRID
! lambdaNP_grid, lambdaNP, FNP
! aTMDe_Numerics, IO_functions functions
! + variables defined in TMDGrid-B-VAR.f90
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Griding functions !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!! this subroutine create grid. It is called only from the uTMDPDF_SetLambdaNP function.
subroutine MakeGrid()
real(dp):: x_local,b_local
!!!size of grid is power of 2, to make it testable and reusable. order is the current power.
integer:: iX,iB,j,h
real(dp),dimension(-5:5)::checkValue,dummyfNP
real(dp)::maxValue,eps,epsB,epsX,B_BAD,x_BAD,eps_av,time1,time2
integer::grid_size
real(dp),dimension(0:GridSizeX,1:2,-5:5,1:numberOfHadrons)::smallGrid
real(dp)::v1_BAD,v2_BAD
if(numberOfHadrons==1 .and. hadronsInGRID(1)==0) return
!!!!!!!!!!!!!**************************************************************************************************************
!!initial message
call cpu_time(time1)
if(outputlevel>1) then
if(numberOfHadrons>1) then
write(*,*) 'arTeMiDe.',moduleName,' starts to build grids for',numToStr(numberOfHadrons), ' hadrons. At ',time1
else
write(*,*) 'arTeMiDe.',moduleName,' starts to build grid. At ',time1
end if
end if
!!!!!!!!!!!!!**************************************************************************************************************
!!main part
!!!save the parameters on which the grid is build
lambdaNP_grid=lambdaNP
bFactor=bGrid_Max/(EXP(slope)-1d0) !!! often used combination
slopeFactor=slope/REAL(GridSizeB)
! goto 111
!!!We use the following grid
!! b=(e^{a i/imax}-1)/(e^a-1)*b_Max
!! where a=slope. If slope higher more points concentrated at b->0
!! For x we use the grid
!! x=(xMin)^(i/imax)
do h=1,numberOfHadrons
do iX=0,GridSizeX
do iB=0,GridSizeB
x_local=xGrid_Min**(REAL(iX)/REAL(GridSizeX))
b_local=(EXP(slopeFactor*REAL(iB))-1d0)*bFactor
if(x_local==1d0) then
gridMain(iX,iB,-5:5,h)=0d0
else
if(withGluon) then
gridMain(iX,iB,-5:5,h)=x_local*Common_lowScale50(x_local,b_local,hadronsInGRID(h))
else
gridMain(iX,iB,-5:5,h)=x_local*Common_lowScale5(x_local,b_local,hadronsInGRID(h))
end if
end if
end do
end do
if(outputLevel>1 .and. numberOfHadrons>1) write(*,'(" ",A,": Grid for hadron ",I3," is done")') moduleName,hadronsInGRID(h)
end do
!!!!!!!!!!!!!**************************************************************************************************************
!!!!!!!!!!!!!**************************************************************************************************************
!!!!!!!!!!!!!*****************************TALE PART************************************************************************
!!!!!!!!!!!!!**************************************************************************************************************
!!!The high B (b>bGrid_Max) tales are approximated as value(bGrid_Max)/fNP(x,x,bGrid_Max) * fNP(x,x,b)
!!! this approximation is exact if coeff-function freeze at large b.
111 do h=1,numberOfHadrons
do iX=1,GridSizeX
x_local=xGrid_Min**(REAL(iX)/REAL(GridSizeX))
b_local=bGrid_Max
if(withGluon) then
boundaryValues(iX,-5:5,h)=x_local*Common_lowScale50(x_local,b_local,hadronsInGRID(h))
else
boundaryValues(iX,-5:5,h)=x_local*Common_lowScale5(x_local,b_local,hadronsInGRID(h))
boundaryValues(iX,0,h)=0d0
end if
dummyfNP=FNP(x_local,x_local,b_local,hadronsInGRID(h),lambdaNP_grid)
!!!! if fNP=0, here, we check is C x f fNP=0, if so, we save 1, otherwise exception
do j=-5,5
if(dummyfNP(j)==0d0) then
if(boundaryValues(iX,j,h)/=0d0 .and. outputLevel>0) then
call Warning_Raise('error in evaluation of boundary for grid',messageCounter,messageTrigger,moduleName)
if(messageCounter<messageTrigger) then
write(*,*) '----- information on last call -----'
write(*,*) 'fNP=',dummyfNP(j),'boundary=',boundaryValues(iX,j,h), 'for (h,f)=(',hadronsInGRID(h),j,')'
write(*,*) 'Continue with value=1'
end if
end if
boundaryValues(iX,j,h)=1d0
else
!!!normal case
boundaryValues(iX,j,h)=boundaryValues(iX,j,h)/dummyfNP(j)
end if
end do
end do
end do
!!!!!!!!!!!!!**************************************************************************************************************
!!check the grid
!! we pass though grid restoring a point from near-by points
!! in this way we estimate error
if(outputLevel>2) then
do h=1,numberOfHadrons
epsB=0d0
epsX=0d0
eps_av=0d0
grid_size=0
!check b-grid
do iX=0,GridSizeX
maxValue=MAXVAL(ABS(gridMain(iX,2:GridSizeB,1:3,h)))
if(maxValue>0d0) then
do iB=2,GridSizeB-4
checkValue=((-gridMain(iX,iB,-5:5,h)+4d0*gridMain(iX,iB+1,-5:5,h)+4d0*gridMain(iX,iB+3,-5:5,h)&
-gridMain(iX,iB+4,-5:5,h))/6d0-gridMain(iX,iB+2,-5:5,h))
if(.not.withGluon) checkValue(0)=0
eps=MAXVAL(ABS(checkValue))/maxValue
eps_av=eps_av+checkValue(MAXLOC(ABS(checkValue),1)-6)/maxValue
grid_size=grid_size+1
if(eps>epsB) then
epsB=eps
B_BAD=(EXP(slopeFactor*REAL(iB+2))-1d0)*bFactor
x_BAD=xGrid_Min**(REAL(iX)/REAL(GridSizeX))
end if
end do
end if
end do
! write(*,*) 'The worst B reconstraction with ',epsB, 'at (x,b)=',x_BAD,B_BAD
! check x-grid
do iB=0,GridSizeB
if(withGluon) then
maxValue=MAXVAL(ABS(gridMain(0:GridSizeX,iB,0:3,h)))
else
maxValue=MAXVAL(ABS(gridMain(0:GridSizeX,iB,1:3,h)))
end if
if(maxValue>0d0) then
do iX=0,GridSizeX-4
checkValue=((-gridMain(iX,iB,-5:5,h)+4d0*gridMain(iX+1,iB,-5:5,h)+4d0*gridMain(iX+3,iB,-5:5,h)&
-gridMain(iX+4,iB,-5:5,h))/6d0-gridMain(iX+2,iB,-5:5,h))
if(.not.withGluon) checkValue(0)=0
eps=MAXVAL(ABS(checkValue))/maxValue
eps_av=eps_av+eps
grid_size=grid_size+1
if(eps>epsX) then
epsX=eps
B_BAD=(EXP(slopeFactor*REAL(iB))-1d0)*bFactor
x_BAD=xGrid_Min**(REAL(iX+2)/REAL(GridSizeX))
end if
end do
end if
end do
! write(*,*) 'The worst X reconstraction with ',epsX, 'at (x,b)=',x_BAD,B_BAD
write(*,'(" ",A,": Grid (for hadron ",I3,") av.badness =",ES12.3)')&
moduleName,hadronsInGRID(h),eps_av/REAL(grid_size)
end do
end if
!!!!!!!!!!!!!**************************************************************************************************************
!!final message
call cpu_time(time2)
if(outputlevel>1) then
if(numberOfHadrons>1) then
write(*,'(" ",A,": Grids are built (",I5," x",I5,") calc.time=",F6.2,"s. ")')&
moduleName, GridSizeX,GridSizeB, time2-time1
else
write(*,'(" ",A,": Grid is built (",I5," x",I5,") calc.time=",F6.2,"s. ")')&
moduleName, GridSizeX,GridSizeB, time2-time1
end if
end if
end subroutine MakeGrid
function ExtractFromGrid(x,bT,hadron)
real(dp),intent(in)::x,bT
integer,intent(in)::hadron
real(dp),dimension(-5:5)::ExtractFromGrid
real(dp),dimension(0:3,-5:5):: interI
real(dp),dimension(-5:5)::dummyfNP
real(dp)::indexX,indexB,fX,fB
integer::i,iX,iB,h
real(dp)::var1,var2,var3,var4 !!dummyvariables
!!!searching for hadron
h=0
do i=1,numberOfHadrons
if(hadronsInGRID(i)==hadron) then
h=i
exit
end if
end do
if(h==0) then
write(*,*) ErrorString('the hadron '//numToStr(hadron)//' is not found in the grid',moduleName)
write(*,*) 'arTeMiDe: evaluation STOP'
stop
end if
if(x<xGrid_Min) then
write(*,*) ErrorString('The TMD with x ='//numToStr(x)//'is called. Current grid size is up to '//&
numToStr(xGrid_Min)//'. Enlarge boundaries.',moduleName)
write(*,*) 'arTeMiDe: evaluation STOP'
stop
end if
if(x>1d0) then
write(*,*) ErrorString('The TMD with x >1 ('//numToStr(x)//') is called.',moduleName)
write(*,*) 'arTeMiDe: evaluation STOP'
stop
end if
if(bT<0d0) then
write(*,*) ErrorString('The TMD with bT <0 ('//numToStr(bT)//') is called.',moduleName)
write(*,*) 'arTeMiDe: evaluation STOP'
stop
end if
!!!!!!!!!Finding X index
indexX=GridSizeX*LOG(x)/LOG(xGrid_Min)
iX=INT(indexX)
if(iX>0) then
if(iX<GridSizeX-1) then !!normal restoration X
iX=INT(indexX)
else !!X in the last interval
iX=INT(indexX)-2
end if
else !! X in the first inteval
iX=INT(indexX)+1
end if
fX=indexX-iX !!! fraction part (automatically shifted by +- 1 if needed)
if(bT>bGrid_Max) then
!!!!here will code for large b
!!! we interpolate over x the boundary value
var1=-fX*(fX-1d0)*(fX-2d0)
var2=3d0*(fX+1d0)*(fX-1d0)*(fX-2d0)
var3=-3d0*(fX+1d0)*fX*(fX-2d0)
var4=(fX+1d0)*fX*(fX-1d0)
ExtractFromGrid=FNP(x,x,bT,hadronsInGRID(h),lambdaNP_grid)*&
(var1*boundaryValues(iX-1,-5:5,h)+var2*boundaryValues(iX,-5:5,h)&
+var3*boundaryValues(iX+1,-5:5,h)+var4*boundaryValues(iX+2,-5:5,h))/6d0/x
else!!! b inside the main region
indexB=LOG(1d0+bT/bFactor)/slopeFactor
iB=INT(indexB)
if(iB>0) then
if(iB<GridSizeB-1) then !!normal restoration B
iB=INT(indexB)
else !!B in the last interval
iB=INT(indexB)-2
end if
else !! B in the first inteval
iB=INT(indexB)+1
end if
fB=indexB-iB !!! fraction part (automatically shifted by +- 1 if needed)
!! intepolation procedure
var1=-fB*(fB-1d0)*(fB-2d0)
var2=3d0*(fB+1d0)*(fB-1d0)*(fB-2d0)
var3=-3d0*(fB+1d0)*fB*(fB-2d0)
var4=(fB+1d0)*fB*(fB-1d0)
interI(0,-5:5)=(var1*gridMain(iX-1,iB-1,-5:5,h)+var2*gridMain(iX-1,iB,-5:5,h)&
+var3*gridMain(iX-1,iB+1,-5:5,h)+var4*gridMain(iX-1,iB+2,-5:5,h))/6d0
interI(1,-5:5)=(var1*gridMain(iX,iB-1,-5:5,h)+var2*gridMain(iX,iB,-5:5,h)&
+var3*gridMain(iX,iB+1,-5:5,h)+var4*gridMain(iX,iB+2,-5:5,h))/6d0
interI(2,-5:5)=(var1*gridMain(iX+1,iB-1,-5:5,h)+var2*gridMain(iX+1,iB,-5:5,h)&
+var3*gridMain(iX+1,iB+1,-5:5,h)+var4*gridMain(iX+1,iB+2,-5:5,h))/6d0
interI(3,-5:5)=(var1*gridMain(iX+2,iB-1,-5:5,h)+var2*gridMain(iX+2,iB,-5:5,h)&
+var3*gridMain(iX+2,iB+1,-5:5,h)+var4*gridMain(iX+2,iB+2,-5:5,h))/6d0
!!! linear interpolation procedure
! interI(0,-5:5)=fB*gridMain(iX-1,iB,-5:5,h)+(1d0-fB)*gridMain(iX-1,iB+1,-5:5,h)
! interI(1,-5:5)=fB*gridMain(iX,iB,-5:5,h)+(1d0-fB)*gridMain(iX,iB+1,-5:5,h)
! interI(2,-5:5)=fB*gridMain(iX+1,iB,-5:5,h)+(1d0-fB)*gridMain(iX+1,iB+1,-5:5,h)
! interI(3,-5:5)=fB*gridMain(iX+2,iB,-5:5,h)+(1d0-fB)*gridMain(iX+2,iB+1,-5:5,h)
var1=-fX*(fX-1d0)*(fX-2d0)
var2=3d0*(fX+1d0)*(fX-1d0)*(fX-2d0)
var3=-3d0*(fX+1d0)*fX*(fX-2d0)
var4=(fX+1d0)*fX*(fX-1d0)
ExtractFromGrid=(var1*interI(0,-5:5)+var2*interI(1,-5:5)&
+var3*interI(2,-5:5)+var4*interI(3,-5:5))/6d0/x
end if
do i=-5,5
if(ISNAN(ExtractFromGrid(i))) then
write(*,*) ErrorString('grid extraction produced NaN. EVALUATION STOP',moduleName)
write(*,*) '----- information on last call -----'
write(*,*) 'bT=',bT,' i=',i, ' extraction=',ExtractFromGrid(i)
write(*,*) 'interI=',interI(0:3,i)
dummyfNP=FNP(x,x,bT,hadronsInGRID(h),lambdaNP_grid)
write(*,*) 'fNP=', dummyfNP(i)
stop
end if
end do
end function ExtractFromGrid
| 13,867 | 38.73639 | 131 | f90 |
artemide-public | artemide-public-master/src/Code/SiversTMDPDF/convolutions.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of SiversTMDPDF module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Routines for evaluation of TMD distributions------------------------------
!!!-------------------------the actual calculation takes a place in twist3 code---------------------------
!!!-------------------------------------------------------------------------------------------------------
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Convolutions!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,??,d,u,s, c ,b
!!---Gluon contribution is undefined
!!---Base version: hadron=number of PDF
!---------------------------------------------------------------------
!---------------------------------------------------------------------
function SiversTMDPDF_base5(x,bT,hadron)
real(dp),dimension(-5:5)::SiversTMDPDF_base5
real(dp) :: x, bT
integer::hadron
!!! variables for restoration only
real(dp),dimension(-5:5) :: fNP_grid,fNP_current
integer::j
!!!! if the coefficient function is not used at all. Just return fNP
if(order_global==-50) then
SiversTMDPDF_base5=fNP(x,bT,hadron,lambdaNP)
!!! in the case the greed has been calculated AND the hadron is in the grid
else if(gridReady .and. ANY(hadronsInGRID.eq.hadron)) then
SiversTMDPDF_base5=ExtractFromGrid(x,bT,hadron)
!!!!!!!!!!This is procedure of restoration of function from the initial grid
!!! if fNP is x-independent then the value can be obtained by TMDPDF(initial) fNP(current)/fNP(initial)
if(.not.IsFnpZdependent) then
fNP_grid=FNP(x,bT,hadron,lambdaNP_grid)
fNP_current=FNP(x,bT,hadron,lambdaNP)
do j=-5,5
if(fNP_grid(j)==0) then
if(fNP_current(j)/=0 .and. ((j/=0).or.(.not.withGluon))) then
if(outputLevel>0) &
call Warning_Raise('error in restoration: original value is zero. TMDPDF set to zero. b='//numToStr(bT),&
messageCounter,messageTrigger,moduleName)
end if
SiversTMDPDF_base5(j)=0!!!! this is case then 0/0
else
SiversTMDPDF_base5(j)=SiversTMDPDF_base5(j)*fNP_current(j)/fNP_grid(j)
end if
end do
end if
!!!! Finally, just computation
else
SiversTMDPDF_base5=Common_lowScale5(x,bT,hadron)
end if
end function SiversTMDPDF_base5
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu the GLUON INCLUDED
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,g,d,u,s, c ,b
!!---Base version: hadron=number of PDF
!---------------------------------------------------------------------
!---------------------------------------------------------------------
function SiversTMDPDF_base50(x,bT,hadron)
real(dp),dimension(-5:5)::SiversTMDPDF_base50
real(dp) :: x, bT
integer::hadron
!!! variables for restoration only
real(dp),dimension(-5:5) :: fNP_grid,fNP_current
integer::j
!!!! if the coefficient function is not used at all. Just return fNP
if(order_global==-50) then
SiversTMDPDF_base50=fNP(x,bT,hadron,lambdaNP)
!!! in the case the greed has been calculated
else if(gridReady .and. ANY(hadronsInGRID.eq.hadron)) then
SiversTMDPDF_base50=ExtractFromGrid(x,bT,hadron)
!!!!!!!!!!This is procedure of restoration of function from the initial grid
!!! if fNP is x-independent then the value can be obtained by TMDPDF(initial) fNP(current)/fNP(initial)
if(.not.IsFnpZdependent) then
fNP_grid=FNP(x,bT,hadron,lambdaNP_grid)
fNP_current=FNP(x,bT,hadron,lambdaNP)
do j=-5,5
if(fNP_grid(j)==0) then
if(SiversTMDPDF_base50(j)/=0.and.j/=0) then
if(outputLevel>0) &
call Warning_Raise('error in restoration: original value is zero. TMDPDF set to zero. b='//numToStr(bT),&
messageCounter,messageTrigger,moduleName)
end if
SiversTMDPDF_base50(j)=0
else
SiversTMDPDF_base50(j)=SiversTMDPDF_base50(j)*fNP_current(j)/fNP_grid(j)
end if
end do
end if
!!!! Finally just calculation
else
SiversTMDPDF_base50=Common_lowScale50(x,bT,hadron)
end if
end function SiversTMDPDF_base50
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!OUTPUT INTERFACE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,??,d,u,s, c ,b
!!---Gluon contribution is undefined
!!---Full version: hadron=number of PDF (if compositeness OFF)
!!--- hadron=sum components (if compositeness ON)
!---------------------------------------------------------------------
!---------------------------------------------------------------------
function SiversTMDPDF_lowScale5(x,bT,hadron)
real(dp),dimension(-5:5)::SiversTMDPDF_lowScale5
real(dp) :: x, bT
integer::hadron
logical,allocatable::includeInComposition(:)
real(dp),allocatable::compositionCoefficients(:)
integer::j,jN
if(x>1d0) then
SiversTMDPDF_lowScale5=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
return
end if
if(IsComposite) then
SiversTMDPDF_lowScale5=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
call GetCompositionArray(hadron,lambdaNP,includeInComposition,compositionCoefficients)
jN=size(includeInComposition)
do j=1,jN
if(includeInComposition(j)) then
SiversTMDPDF_lowScale5=SiversTMDPDF_lowScale5+compositionCoefficients(j)*SiversTMDPDF_base5(x,bT,j)
end if
end do
deallocate(includeInComposition,compositionCoefficients)
else
SiversTMDPDF_lowScale5=SiversTMDPDF_base5(x,bT,hadron)
end if
end function SiversTMDPDF_lowScale5
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu the GLUON INCLUDED
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,g,d,u,s, c ,b
!!---Full version: hadron=number of PDF (if compositeness OFF)
!!--- hadron=sum components (if compositeness ON)
!---------------------------------------------------------------------
!---------------------------------------------------------------------
function SiversTMDPDF_lowScale50(x,bT,hadron)
real(dp),dimension(-5:5)::SiversTMDPDF_lowScale50
real(dp) :: x, bT
integer::hadron
logical,allocatable::includeInComposition(:)
real(dp),allocatable::compositionCoefficients(:)
integer::j,jN
if(x>1d0) then
SiversTMDPDF_lowScale50=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
return
end if
if(IsComposite) then
SiversTMDPDF_lowScale50=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
call GetCompositionArray(hadron,lambdaNP,includeInComposition,compositionCoefficients)
jN=size(includeInComposition)
do j=1,jN
if(includeInComposition(j)) then
SiversTMDPDF_lowScale50=SiversTMDPDF_lowScale50+compositionCoefficients(j)*SiversTMDPDF_base50(x,bT,j)
end if
end do
deallocate(includeInComposition,compositionCoefficients)
else
SiversTMDPDF_lowScale50=SiversTMDPDF_base50(x,bT,hadron)
end if
end function SiversTMDPDF_lowScale50
| 9,018 | 41.947619 | 125 | f90 |
artemide-public | artemide-public-master/src/Code/SiversTMDPDF/modelTest.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of SiversTMDPDF module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!! The twist-3 convolution with in Sivers function is difficult enough! !!!!!!!!!!!
!!!!!!!!!!!!!!!!! So the NP-functions are made independent on convolution library !!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!! test bSTAR for lambda-dependance
!!! .true. = lambda-dependent
function TestbSTAR()
integer::i,j,k
logical::TestbSTAR
real(dp)::bT,dummy1,dummy2
real(dp),allocatable::NPtest(:)
allocate(NPtest(1:lambdaNPlength))
TestbSTAR=.false.
do i=1,lambdaNPlength
NPtest=0.5d0+0d0*NPtest
do k=0,3
bT=0.1d0+k
dummy1=bSTAR(bT,NPtest)
do j=1,3
NPtest(i)=0.9d0*j
dummy2=bSTAR(bT,NPtest)
if(abs(dummy2-dummy1)>1d-10) then
TestbSTAR=.true.
exit
end if
end do
end do
end do
end function TestbSTAR
| 1,419 | 33.634146 | 106 | f90 |
artemide-public | artemide-public-master/src/Code/TMDF/Ogata.f90 | !!!Prepare tables for Ogata quadrature with given h
subroutine PrepareTables()
integer::i,k,j
real(dp)::hS!=h*hSegmentationWeight
real(dp)::xi,qqq
do j=1,hSegmentationNumber
do k=0,3
do i=1,Nmax
hS=hOGATA*hSegmentationWeight(j)
xi=JZero(k,i)
! ww(j,k,i)=BESSEL_JN(k,bb(j,k,i))/xi/(BESSEL_JN(k+1,xi)**2)&
! *(pi*xi*hS*Cosh(xi*hS)+Sinh(pi*Sinh(xi*hS)))/(1d0+Cosh(pi*Sinh(xi*hS)))
!!! if we too far away in xI*hS, the double exponential grow rapidly.
!!! and for >6, it generates term 10^{300} and exceed the presision
if(xi*hS>6.d0) then
bb(j,k,i)=xi*Tanh(piHalf*Sinh(xi*hS))
ww(j,k,i)=BESSEL_JN(k,bb(j,k,i))/xi/(BESSEL_JN(k+1,xi)**2)
else
bb(j,k,i)=xi*Tanh(piHalf*Sinh(xi*hS))
ww(j,k,i)=BESSEL_JN(k,bb(j,k,i))/xi/(BESSEL_JN(k+1,xi)**2)&
*(pi*xi*hS*Cosh(xi*hS)/(2d0*Cosh(piHalf*Sinh(xi*hS))**2)+Tanh(piHalf*Sinh(xi*hS)))
end if
end do
end do
end do
end subroutine PrepareTables
!!!This is the defining module function
!!! It evaluates the integral
!!! int_0^infty b^(n+1) db/2 Jn(b qT) zff F1 F2
!!!
function TMDF_F(Q2,qT,x1,x2,mu,zeta1,zeta2,process)
real(dp)::TMDF_F
real(dp)::qT,x1,x2,mu,zeta1,zeta2,Q2
integer::process
real(dp)::integral,eps,delta
real(dp)::v1,v2,v3,v4
integer::k,n,j,Nsegment
CallCounter=CallCounter+1
integral=0d0
if(qT<0.0000001d0 .or. x1>=1d0 .or. x2>=1d0) then
integral=0d0
else if(TMDF_IsconvergenceLost()) then
!!!in the case of lost convergence we return huge number (divergent xSec)
TMDF_F=1d10
else
v1=1d0
v2=1d0
v3=1d0
v4=1d0
!!Here we set the order of Bessel
if(process<10000) then
n=0
else if(process<20000) then
n=1
else if(process<30000) then
n=2
else
n=3
end if
!!! define segment of qT
do j=1,hSegmentationNumber
if(qT<qTSegmentationBoundary(j)) exit
end do
if(j>hSegmentationNumber) then
Nsegment=hSegmentationNumber
else
Nsegment=j
end if
!!! sum over OGATA nodes
do k=1,Nmax!!! maximum of number of bessel roots preevaluated in the head
eps=ww(Nsegment,n,k)*(bb(Nsegment,n,k)**(n+1))*Integrand(Q2,bb(Nsegment,n,k)/qT,x1,x2,mu,zeta1,zeta2,process)
v4=v3
v3=v2
v2=v1
v1=ABS(eps)
delta=(v1+v2+v3+v4)
integral=integral+eps
!!! here we check that residual term is smaller than already collected integral
!!! also checking the zerothness of the integral. If already collected integral is null it is null
!!! Here is potential bug. If the first 10 points give zero (whereas some later points do not), the integral will be zero
if((delta<tolerance*abs(integral) .or. abs(integral)<1d-32) .and. k>=10) exit
end do
if(k>=Nmax) then
if(outputlevel>0) WRITE(*,*) WarningString('OGATA quadrature diverge. TMD decaing too slow? ',moduleName)
if(outputlevel>1) then
write(*,*) 'Information over the last call ----------'
write(*,*) 'bt/qT= ',bb(Nsegment,n,Nmax)/qT, 'qT=',qT, '| segmentation zone=',Nsegment,&
' ogata h=',hOGATA*hSegmentationWeight(Nsegment)
write(*,*) 'W=',Integrand(Q2,bb(Nsegment,n,Nmax)/qT,x1,x2,mu,zeta1,zeta2,process), 'eps/integral =', eps/integral
write(*,*) 'residual term=',delta, '>',tolerance
write(*,*) '(x1,x2)=(',x1,',',x2,')'
write(*,*) 'process =',process,' it is ',CallCounter,'call.'
write(*,*) '------------------------------------------'
end if
call TMDF_convergenceISlost()
end if
if(k>MaxCounter) MaxCounter=k-1
! write(*,*) 'Integral=',integral
TMDF_F=integral/(qT**(n+2))
end if
!write(*,*) 'Last call: ',k
! write(*,'("{",F6.2,",",F18.16,"},")') qT,x1*x2*TMDF_F
end function TMDF_F
| 3,758 | 29.560976 | 125 | f90 |
artemide-public | artemide-public-master/src/Code/TMDR/type1.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of TMDR module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Routines for the evolution of type 1--------------------------------------
!!!--------------------------(ordinary CS evolution=improved-D evolution)---------------------------------
!!!-------------------------------------------------------------------------------------------------------
!!! Evolution exponent in the improved D-picture
!!! from point to point, via intemidiate scale mu0
function TMDR_R_type1(b,muf,zetaf,mui,zetai,mu0,f)
real(dp)::TMDR_R_type1,b,muf,zetaf,mui,zetai,mu0
integer::f
counter=0
if(b<1d-6) b=1d-6
TMDR_R_type1=EXP(IntegralG1(muf,mui,zetaf,f)-(IntegralG2(mui,mu0,f)+DNP(mu0,b,f))*Log(zetaf/zetai))
!write(*,*) 'TMDR_R_type1: number of AD calls ',counter
end function TMDR_R_type1
!!! Evolution exponent in the improved D-picture to zeta-line
!!! The evolution from point (muf,zetaf) -> (zeta_mui) via scale mu0
function TMDR_Rzeta_type1(b,muf,zetaf,mui,mu0,f)
real(dp)::TMDR_Rzeta_type1,b,muf,zetaf,mui,mu0,zetaP
integer::f
counter=0
if(b<1d-6) b=1d-6
zetaP=zetaNP(mui,b,f)
TMDR_Rzeta_type1=EXP(IntegralG1(muf,mui,zetaf,f)-(IntegralG2(mui,mu0,f)+DNP(mu0,b,f))*Log(zetaf/zetaP))
!write(*,*) 'TMDR_Rzeta_type1: number of AD calls ',counter
end function TMDR_Rzeta_type1
!!!This is the integral \int_{mu_i}^{muf} dmu/mu (Gamma(mu)Log[mu^2/zeta]-gammaV)
!!! evaluation by adaptive simpson
function IntegralG1(muf,mui,zeta,f)
real(dp)::IntegralG1,muf,mui,zeta,lnz
integer::f
real(dp)::y1,y3,y5,X1,X3,X5,maxV
lnz=Log(zeta)
y1=Log(muf)
y5=Log(mui)
if(y1<y5) then
y3=y1
y1=y5
y5=y3
end if
y3=(y1+y5)/2d0
X1=gammaCUSP(Exp(y1),f)*(2d0*y1-lnz)-gammaV(Exp(y1),f)
X3=gammaCUSP(Exp(y3),f)*(2d0*y3-lnz)-gammaV(Exp(y3),f)
X5=gammaCUSP(Exp(y5),f)*(2d0*y5-lnz)-gammaV(Exp(y5),f)
counter=counter+3
!maxV is approximate value of the integral, just to normalize the errors
maxV=ABS((y1-y5)*(X1+4d0*X3+X5)/6d0)
!!!! swithc sign if the integral is opposite
if(muf>mui) then
IntegralG1=integral1_S(y1,y5,lnz,f,X1,X3,X5,maxV)
else
IntegralG1=-integral1_S(y1,y5,lnz,f,X1,X3,X5,maxV)
end if
end function IntegralG1
!!! expected that y1>y2 (logarithm scale)
recursive function integral1_S(y1,y5,lnz,f,X1,X3,X5,maxV) result(interX)
real(dp) ::y1,y5,lnz
integer::f
real(dp) :: interX,X1,X2,X3,X4,X5
real(dp) :: value,valueAB,valueACB
real(dp) :: y2,y3,y4,deltay,maxV
deltay=y1-y5
y4=y5+deltay/4d0
y3=y5+deltay/2d0
y2=y1-deltay/4d0
X2=gammaCUSP(Exp(y2),f)*(2d0*y2-lnz)-gammaV(Exp(y2),f)
X4=gammaCUSP(Exp(y4),f)*(2d0*y4-lnz)-gammaV(Exp(y4),f)
counter=counter+2
valueAB=deltay*(X1+4d0*X3+X5)/6d0
valueACB=deltay*(X1+4d0*X2+2d0*X3+4d0*X4+X5)/12d0
! write(*,*) y1,y3,y5,valueACB-valueAB
If(ABS(valueACB-valueAB)/15d0>tolerance*maxV) then
interX=integral1_S(y1,y3,lnz,f,X1,X2,X3,maxV)&
+integral1_S(y3,y5,lnz,f,X3,X4,X5,maxV)
else
interX=valueACB
end if
end function integral1_S
!!!This is the integral \int_{mu_i}^{muf} dmu/mu Gamma(mu)
!!! evaluation by adaptive simpson
function IntegralG2(muf,mui,f)
real(dp)::IntegralG2,muf,mui
integer::f
real(dp)::y1,y3,y5,X1,X3,X5,maxV
if(Abs(muf-mui)<tolerance) then
IntegralG2=0d0
return
end if
y1=Log(muf)
y5=Log(mui)
if(y1<y5) then
y3=y1
y1=y5
y5=y3
end if
y3=(y1+y5)/2d0
X1=gammaCUSP(Exp(y1),f)
X3=gammaCUSP(Exp(y3),f)
X5=gammaCUSP(Exp(y5),f)
counter=counter+3
!maxV is approximate value of the integral, just to normalize the errors
maxV=ABS((y1-y5)*(X1+4d0*X3+X5)/6d0)
!!!! swithc sign if the integral is opposite
if(muf>mui) then
IntegralG2=integral2_S(y1,y5,f,X1,X3,X5,maxV)
else
IntegralG2=-integral2_S(y1,y5,f,X1,X3,X5,maxV)
end if
end function IntegralG2
!!! expected that y1>y2 (logarithm scale)
recursive function integral2_S(y1,y5,f,X1,X3,X5,maxV) result(interX)
real(dp) ::y1,y5
integer::f
real(dp) :: interX,X1,X2,X3,X4,X5
real(dp) :: value,valueAB,valueACB
real(dp) :: y2,y3,y4,deltay,maxV
deltay=y1-y5
y4=y5+deltay/4d0
y3=y5+deltay/2d0
y2=y1-deltay/4d0
X2=gammaCUSP(Exp(y2),f)
X4=gammaCUSP(Exp(y4),f)
counter=counter+2
valueAB=deltay*(X1+4d0*X3+X5)/6d0
valueACB=deltay*(X1+4d0*X2+2d0*X3+4d0*X4+X5)/12d0
! write(*,*) y1,y3,y5,valueACB-valueAB
If(ABS(valueACB-valueAB)/15d0>tolerance*maxV) then
interX=integral2_S(y1,y3,f,X1,X2,X3,maxV)&
+integral2_S(y3,y5,f,X3,X4,X5,maxV)
else
interX=valueACB
end if
end function integral2_S
| 5,032 | 25.489474 | 106 | f90 |
artemide-public | artemide-public-master/src/Code/TMDR/type2.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of TMDR module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Routines for the evolution of type 2--------------------------------------
!!!----------------------------------(improved-gamma evolution)-------------------------------------------
!!!-------------------------------------------------------------------------------------------------------
!!! Evolution exponent in the improved gamma-picture
!!! Evolution from (muf,zetaf) -> (mui,zetai)
function TMDR_R_type2(b,muf,zetaf,mui,zetai,f)
real(dp)::TMDR_R_type2,b,muf,zetaf,mui,zetai
integer::f
counter=0
if(b<1d-6) b=1d-6
TMDR_R_type2=EXP(-IntegralG3(muf,mui,b,f)+DNP(muf,b,f)*Log(muf**2/zetaf)-DNP(mui,b,f)*Log(mui**2/zetai))
!write(*,*) 'TMDR_R_type2: number of AD calls ',counter
if(TMDR_R_type2>1d6) then
write(*,*) ErrorString('Evolution factor (type2-1) is TOO HUGE check the formula',moduleName)
write(*,*) 'NP parameters =', NPparam
write(*,*) 'b=',b,'zetaf=',zetaf,'muf=',muf,'zetai=',zetai,'mui=',mui
write(*,*) 'int=',IntegralG3(muf,mui,b,f),'t1=',DNP(muf,b,f)*Log(muf**2/zetaf),'t2=',DNP(mui,b,f)*Log(mui**2/zetai)
write(*,*) 'Evaluation continue with R=10^6'
TMDR_R_type2=1d6
end if
end function TMDR_R_type2
!!! Evolution exponent in the improved gamma-picture to zeta-line
!!! Evolution from (muf,zetaf) -> (zeta_mui)
function TMDR_Rzeta_type2(b,muf,zetaf,mui,f)
real(dp)::TMDR_Rzeta_type2,b,muf,zetaf,mui,zetaP
integer::f
counter=0
if(b<1d-6) b=1d-6
zetaP=zetaNP(mui,b,f)
TMDR_Rzeta_type2=EXP(-IntegralG3(muf,mui,b,f)+DNP(muf,b,f)*Log(muf**2/zetaf)-DNP(mui,b,f)*Log(mui**2/zetaP))
!write(*,*) 'TMDR_Rzeta_type2: number of AD calls ',counter
if(TMDR_Rzeta_type2>1d6) then
write(*,*) ErrorString('Evolution factor (type2-2) is TOO HUGE check the formula',moduleName)
write(*,*) 'b=',b,'zetaf=',zetaf,'muf=',muf,'zetaP=',zetaP,'mui=',mui
write(*,*) 'int=',IntegralG3(muf,mui,b,f),'t1=',DNP(muf,b,f)*Log(muf**2/zetaf),'t2=',DNP(mui,b,f)*Log(mui**2/zetaP)
write(*,*) 'Evaluation continue with R=10^6'
TMDR_Rzeta_type2=1d6
end if
end function TMDR_Rzeta_type2
!!!This is the integral \int_{mu_i}^{muf} dmu/mu (2 D(mu,b)+gammaV)
!!! evaluation by adaptive simpson
function IntegralG3(muf,mui,b,f)
real(dp)::IntegralG3,muf,mui,b
integer::f
real(dp)::y1,y3,y5,X1,X3,X5,maxV
y1=Log(muf)
y5=Log(mui)
if(y1<y5) then
y3=y1
y1=y5
y5=y3
end if
y3=(y1+y5)/2d0
X1=2d0*DNP(Exp(y1),b,f)+gammaV(Exp(y1),f)
X3=2d0*DNP(Exp(y3),b,f)+gammaV(Exp(y3),f)
X5=2d0*DNP(Exp(y5),b,f)+gammaV(Exp(y5),f)
counter=counter+3
!maxV is approximate value of the integral, just to normalize the errors
maxV=ABS((y1-y5)*(X1+4d0*X3+X5)/6d0)
!!!! swithc sign if the integral is opposite
if(muf>mui) then
IntegralG3=integral3_S(y1,y5,b,f,X1,X3,X5,maxV)
else
IntegralG3=-integral3_S(y1,y5,b,f,X1,X3,X5,maxV)
end if
end function IntegralG3
!!! expected that y1>y2 (logarithm scale)
recursive function integral3_S(y1,y5,b,f,X1,X3,X5,maxV) result(interX)
real(dp) ::y1,y5,b
integer::f
real(dp) :: interX,X1,X2,X3,X4,X5
real(dp) :: value,valueAB,valueACB
real(dp) :: y2,y3,y4,deltay,maxV
deltay=y1-y5
y4=y5+deltay/4d0
y3=y5+deltay/2d0
y2=y1-deltay/4d0
X2=2d0*DNP(Exp(y2),b,f)+gammaV(Exp(y2),f)
X4=2d0*DNP(Exp(y4),b,f)+gammaV(Exp(y4),f)
counter=counter+2
valueAB=deltay*(X1+4d0*X3+X5)/6d0
valueACB=deltay*(X1+4d0*X2+2d0*X3+4d0*X4+X5)/12d0
! write(*,*) y1,y3,y5,valueACB-valueAB
If(ABS(valueACB-valueAB)/15>tolerance*maxV) then
interX=integral3_S(y1,y3,b,f,X1,X2,X3,maxV)&
+integral3_S(y3,y5,b,f,X3,X4,X5,maxV)
else
interX=valueACB
end if
end function integral3_S
| 4,150 | 30.44697 | 119 | f90 |
artemide-public | artemide-public-master/src/Code/TMDR/type3.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of TMDR module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Routines for the evolution of type 3--------------------------------------
!!!----------------------------------(zeta-prescription)--------------------------------------------------
!!!-------------------------------------------------------------------------------------------------------
!!! Evolution exponent in the improved gamma-picture to zeta-line (defined by zetaNP)
function TMDR_Rzeta_type3(b,muf,zetaf,f)
real(dp)::TMDR_Rzeta_type3,b,muf,zetaf,zetaP
integer::f
if(b<1d-6) b=1d-6
zetaP=zetaNP(muf,b,f)
TMDR_Rzeta_type3=EXP(-DNP(muf,b,f)*Log(zetaf/zetaP))
! write(*,*) 'HERE'
! write(*,*) DNP(muf,b,f),zetaf,zetaP
if(TMDR_Rzeta_type3>1d6) then
write(*,*) ErrorString('Evolution factor(type3) is TOO HUGE check the formula',moduleName)
write(*,*) 'b=',b,'zetaf=',zetaf,'muf=',muf,'zetaP=',zetaP
write(*,*) 'DNP=',DNP(muf,b,f), 'log(zeta/zetamu)=',Log(zetaf/zetaP)
write(*,*) 'NPparameters= (',NPparam,')'
write(*,*) 'Evaluation continue with R=10^6'
TMDR_Rzeta_type3=1d6
stop
end if
end function TMDR_Rzeta_type3
function TMDR_Rzeta_harpy(b,muf,zetaf,f)
real(dp)::TMDR_Rzeta_harpy,b,muf,zetaf
integer::f
TMDR_Rzeta_harpy=TMDR_Rzeta_type3(b,muf,zetaf,f)
end function TMDR_Rzeta_harpy
| 1,690 | 37.431818 | 106 | f90 |
artemide-public | artemide-public-master/src/Code/TMD_AD/AD_Integral.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of TMD_AD module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Integrals with anomalous dimensions---------------------------------------
!!!-------------------------------------------------------------------------------------------------------
!!!! Defines the coefficients for the decomposition for the integral Gamma/(-2 beta) over the roots of beta-function
!!!! The zeroth terms is G0/(-2b0) (common)
!!!! k=number of root. The expression is given by Lagrange decomposition
subroutine SetIntegralCoefficeintsGAMMA_Q()
integer::n,i,j,k,l
real(dp)::G1,G2,G3,G4,BB
COMPLEX(dp)::ps
GammaIntegral_Q_internal=0d0*GammaIntegral_Q_internal
do n=NfMIN,NfMAX
G1=GammaCusp_q(1,n)/GammaCusp_q(0,n)
G2=GammaCusp_q(2,n)/GammaCusp_q(0,n)
G3=GammaCusp_q(3,n)/GammaCusp_q(0,n)
G4=GammaCusp_q(4,n)/GammaCusp_q(0,n)
!!! loops
do i=1,4
!!! special case: common prefactor = Gamma0/(-2beta0)
GammaIntegral_Q_internal(i,0,n)=GammaCusp_q(0,n)/(-2d0*betaQCD(0,n))
!!! Bi
BB=betaQCD(i,n)/betaQCD(0,n)
!!! roots
do j=1,i
!!! 0;th-root=0
ps=betaRoots_internal(i,j,n)
!!! rest roots
do k=1,i
if(k.ne.j) ps=ps*(betaRoots_internal(i,j,n)-betaRoots_internal(i,k,n))
end do
!!! numerator is Gamma at root
GammaIntegral_Q_internal(i,j,n)=1d0
if(i>0) GammaIntegral_Q_internal(i,j,n)=GammaIntegral_Q_internal(i,j,n)+G1*betaRoots_internal(i,j,n)
if(i>1) GammaIntegral_Q_internal(i,j,n)=GammaIntegral_Q_internal(i,j,n)+G2*betaRoots_internal(i,j,n)**2
if(i>2) GammaIntegral_Q_internal(i,j,n)=GammaIntegral_Q_internal(i,j,n)+G3*betaRoots_internal(i,j,n)**3
if(i>3) GammaIntegral_Q_internal(i,j,n)=GammaIntegral_Q_internal(i,j,n)+G4*betaRoots_internal(i,j,n)**4
GammaIntegral_Q_internal(i,j,n)=GammaIntegral_Q_internal(i,j,n)/ps/BB
end do
end do
end do
end subroutine SetIntegralCoefficeintsGAMMA_Q
!!!! Defines the coefficients for the decomposition for the integral Gamma/(-2 beta) over the roots of beta-function
!!!! The zeroth terms is G0/(-2b0) (common)
!!!! k=number of root. The expression is given by Lagrange decomposition
subroutine SetIntegralCoefficeintsGAMMA_G()
integer::n,i,j,k,l
real(dp)::G1,G2,G3,G4,BB
COMPLEX(dp)::ps
GammaIntegral_G_internal=0d0*GammaIntegral_G_internal
do n=NfMIN,NfMAX
G1=GammaCusp_g(1,n)/GammaCusp_g(0,n)
G2=GammaCusp_g(2,n)/GammaCusp_g(0,n)
G3=GammaCusp_g(3,n)/GammaCusp_g(0,n)
G4=GammaCusp_g(4,n)/GammaCusp_g(0,n)
!!! loops
do i=1,4
!!! special case: common prefactor = Gamma0/(-2beta0)
GammaIntegral_G_internal(i,0,n)=GammaCusp_g(0,n)/(-2d0*betaQCD(0,n))
!!! Bi
BB=betaQCD(i,n)/betaQCD(0,n)
!!! roots
do j=1,i
!!! 0;th-root=0
ps=betaRoots_internal(i,j,n)
!!! rest roots
do k=1,i
if(k.ne.j) ps=ps*(betaRoots_internal(i,j,n)-betaRoots_internal(i,k,n))
end do
!!! numerator is Gamma at root
GammaIntegral_G_internal(i,j,n)=1d0
if(i>0) GammaIntegral_G_internal(i,j,n)=GammaIntegral_G_internal(i,j,n)+G1*betaRoots_internal(i,j,n)
if(i>1) GammaIntegral_G_internal(i,j,n)=GammaIntegral_G_internal(i,j,n)+G2*betaRoots_internal(i,j,n)**2
if(i>2) GammaIntegral_G_internal(i,j,n)=GammaIntegral_G_internal(i,j,n)+G3*betaRoots_internal(i,j,n)**3
if(i>3) GammaIntegral_G_internal(i,j,n)=GammaIntegral_G_internal(i,j,n)+G4*betaRoots_internal(i,j,n)**4
GammaIntegral_G_internal(i,j,n)=GammaIntegral_G_internal(i,j,n)/ps/BB
end do
end do
end do
end subroutine SetIntegralCoefficeintsGAMMA_G
!!!! Compute the integral
!!!! Gamma(a)/(-2beta(a)) for [a0,a1]
!!!! loop=loop order (0=1loop), Nf=number of flavors
!!!! Uses exact analytic expression with decomposition over roots of beta-function.
function GammaIntegral_Q(a0,a1,loop,nf)
integer, intent(in)::loop,nf
real(dp), intent(in)::a1,a0
real(dp)::GammaIntegral_Q
COMPLEX(dp):: inter
integer::i
!!! common term from the 0th-root
inter=LOG(a1/a0)
!!! sum over roots
do i=1,loop
inter=inter+GammaIntegral_Q_internal(loop,i,nf)*LOG((a1-betaRoots_internal(loop,i,nf))/(a0-betaRoots_internal(loop,i,nf)))
end do
!!!! common factor (I use index=1, it is not defined for loop=0)
GammaIntegral_Q=GammaIntegral_Q_internal(1,0,nf)*dreal(inter)
end function GammaIntegral_Q
!!!! Compute the integral
!!!! Gamma(a)/(-2beta(a)) for [a0,a1]
!!!! loop=loop order (0=1loop), Nf=number of flavors
!!!! Uses exact analytic expression with decomposition over roots of beta-function.
function GammaIntegral_G(a0,a1,loop,nf)
integer, intent(in)::loop,nf
real(dp), intent(in)::a1,a0
real(dp)::GammaIntegral_G
COMPLEX(dp):: inter
integer::i
!!! common term from the 0th-root
inter=LOG(a1/a0)
!!! sum over roots
do i=1,loop
inter=inter+GammaIntegral_G_internal(loop,i,nf)*LOG((a1-betaRoots_internal(loop,i,nf))/(a0-betaRoots_internal(loop,i,nf)))
end do
GammaIntegral_G=GammaIntegral_G_internal(1,0,nf)*dreal(inter)
end function GammaIntegral_G
!!!! gives the additive factor for the RAD evolution from (mu0) to (mu1)
!!!! It is equal to: Gamma(a)/2 dmu2/mu2 for mu in [mu0,mu1]
!!!! loop= orderCusp, f=flavor
function RADevolution(mu0,mu1,f)
real(dp),intent(in)::mu0,mu1
integer,intent(in)::f
real(dp):: RADevolution
real(dp)::a0,a1,inter,ar1,ar2
logical::naturalOrder !!! mu0<mu1
integer::n0,n1
if(mu0<mu1) then
a0=as(mu0)
a1=as(mu1)
naturalOrder=.true.
n0=activeNf(mu0)
n1=activeNf(mu1)
else !!! order of limits inverted
a0=as(mu1)
a1=as(mu0)
naturalOrder=.false.
n0=activeNf(mu1)
n1=activeNf(mu0)
end if
if(n0==n1) then
if(f==0) then
inter=GammaIntegral_G(a0,a1,orderCusp,n0)
else
inter=GammaIntegral_Q(a0,a1,orderCusp,n0)
end if
else if (n0==3 .and. n1==4) then
ar1=as(mCHARM)
if(f==0) then
inter=GammaIntegral_G(a0,ar1,orderCusp,3)+GammaIntegral_G(ar1,a1,orderCusp,4)
else
inter=GammaIntegral_Q(a0,ar1,orderCusp,3)+GammaIntegral_Q(ar1,a1,orderCusp,4)
end if
else if (n0==4 .and. n1==5) then
ar1=as(mBOTTOM)
if(f==0) then
inter=GammaIntegral_G(a0,ar1,orderCusp,4)+GammaIntegral_G(ar1,a1,orderCusp,5)
else
inter=GammaIntegral_Q(a0,ar1,orderCusp,4)+GammaIntegral_Q(ar1,a1,orderCusp,5)
end if
else if (n0==3 .and. n1==5) then
ar1=as(mCHARM)
ar2=as(mBOTTOM)
if(f==0) then
inter=GammaIntegral_G(a0,ar1,orderCusp,3)+GammaIntegral_G(ar1,ar2,orderCusp,4)+GammaIntegral_G(ar2,a1,orderCusp,5)
else
inter=GammaIntegral_Q(a0,ar1,orderCusp,3)+GammaIntegral_Q(ar1,ar2,orderCusp,4)+GammaIntegral_Q(ar2,a1,orderCusp,5)
end if
else
write(*,*) WarningString(' RADevolution finds impossible combination of thresholds.',moduleName)
write(*,*) "Numbers for Nf", n0, " to ",n1, "(compute with ",n0,")"
inter=GammaIntegral_G(a0,a1,orderCusp,n0)
end if
if(naturalOrder) then
RADevolution=inter
else
RADevolution=-inter
end if
end function RADevolution
| 8,317 | 37.331797 | 138 | f90 |
artemide-public | artemide-public-master/src/Code/TMD_AD/AD_atMu.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of TMD_AD module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Anomalous dimensions at scale mu------------------------------------------
!!!-------------------------------------------------------------------------------------------------------
! The TMD rapidity anomalous dimension D, pertrubative expression
function Dpert(mu,bT,f)
real(dp),intent(in):: bT,mu
integer,intent(in):: f
real(dp)::Dpert
integer:: Nf,n,k
real(dp)::LL,astrong,inter
LL=2_dp*LOG(bt*mu*C0_inv_const)
astrong=As(mu)
Dpert=0_dp
Nf=ActiveNf(mu)
if(f==0) then!gluon
do n=1,orderD
inter=0_dp
do k=0,orderD
inter=inter+dnk_G(n,k,Nf)*(LL**k)
end do
Dpert=Dpert+inter*(astrong**n)
end do
else!quark
do n=1,orderD
inter=0_dp
do k=0,orderD
inter=inter+dnk_Q(n,k,Nf)*(LL**k)
end do
Dpert=Dpert+inter*(astrong**n)
end do
end if
end function Dpert
! The TMD UV anomalous dimension gammaV
function gammaV(mu,f)
real(dp),intent(in)::mu
integer,intent(in)::f
real(dp):: gammaV
integer:: Nf,i
real(dp) ::astrong
astrong=As(mu)
Nf=ActiveNf(mu)
gammaV=0_dp
if(f==0) then !!gluon case
do i=1,orderV
gammaV=gammaV+gammaV_G(i,Nf)*(astrong**i)
end do
else !! quark case
do i=1,orderV
gammaV=gammaV+gammaV_Q(i,Nf)*(astrong**i)
end do
end if
end function gammaV
! The Gamma Cusp anomalous dimension gammaV
function gammaCUSP(mu,f)
real(dp),intent(in)::mu
integer,intent(in)::f
real(dp) :: gammaCUSP
integer:: Nf,i
real(dp) ::astrong
astrong=As(mu)
Nf=activeNf(mu)
gammaCUSP=0_dp
if(f==0) then !!gluon case
do i=1,orderCusp
gammaCUSP=gammaCUSP+GammaCusp_G(i-1,Nf)*(astrong**i)
end do
else !! quark case
do i=1,orderCusp
gammaCUSP=gammaCUSP+GammaCusp_Q(i-1,Nf)*(astrong**i)
end do
end if
end function gammaCUSP
!!the resummed version of rapidity anomalous dimension
function Dresum(mu,bT,f)
real(dp),intent(in)::mu,bT
integer,intent(in)::f
real(dp)::Dresum
integer::Nf
integer::n,k,l
real(dp):: X,alpha,lX,LL,commulant,inter
alpha=As(mu)
Nf=ActiveNf(mu)
LL=2_dp*LOG(bT*mu*C0_inv_const)
X=betaQCD(0,Nf)*alpha*LL
!!! in many models D evaluated at X=0, to speed up these computations I explicitely state it
if(abs(X)<1d-7) then
Dresum=0_dp
if(f==0) then !! gluon case
do n=2,orderDresum
Dresum=Dresum+alpha**n*dnk_G(n,0,Nf)
end do
else !! quark case
do n=2,orderDresum
Dresum=Dresum+alpha**n*dnk_Q(n,0,Nf)
end do
end if
!!! complete case
else
lX=Log(1_dp-X)
if(f==0) then !! gluon case
commulant=lX
do n=1,orderDresum
inter=0_dp
do k=0,n
do l=0,n
inter=inter+(X**k)*(lX**l)*dnkl_G(n,k,l,Nf)
end do
end do
commulant=commulant+((alpha/(1_dp-X))**n)*inter
end do
Dresum=-GammaCusp_G(0,Nf)/betaQCD(0,Nf)*commulant
else !!! quark case
commulant=lX
do n=1,orderDresum
inter=0_dp
do k=0,n
do l=0,n
inter=inter+(X**k)*(lX**l)*dnkl_Q(n,k,l,Nf)
end do
end do
commulant=commulant+((alpha/(1_dp-X))**n)*inter
end do
Dresum=-GammaCusp_Q(0,Nf)/betaQCD(0,Nf)/2_dp*commulant
end if
if(ISNAN(Dresum)) then
write(*,*) ErrorString('Dresum is NaN.',moduleName)
write(*,*) 'At mu=',mu,'b=',bT,'Lmu=',2_dp*Log(mu*bT*C0_inv_const), 'X=',X,'log(1-x)=',lX
write(*,*) 'Evaluation STOP'
stop
end if
end if
end function Dresum
!-------------------zeta-lines -------------------------------------
!the exact zeta-line is in TMDR (because it depends on DNP)
!! the value of zeta_mu in the pertrubation theory with ri=0
function zetaMUpert(mu,bt,f)
real(dp),intent(in)::mu,bT
integer,intent(in)::f
real(dp):: zetaMUpert
integer::Nf,n,k
real(dp)::alpha,LL,val,iter
if(orderZETA>0) then !!! NLO,NNLO,...
LL=2_dp*LOG(bt*mu*C0_inv_const)
alpha=As(mu)
Nf=ActiveNf(mu)
!!!!! Important!!!!
!! the perturbative value for zeta, must be taken 1-order higher
!! because there double logarithms ~~beta0 L
!! For 4-loop it requires 5-loop rad... The value which contains it is set to zero v(4,0)=0.
if(f==0) then !!! gluon
val=vnk_g(0,0,Nf)
do n=1,orderZETA-1
iter = 0_dp
do k=0,n+1
iter=iter+(LL**k)*vnk_g(n,k,Nf)
end do
val=val+(alpha**n)*iter
end do
else !!!! quark
val=vnk_q(0,0,Nf)
do n=1,orderZETA
iter = 0_dp
do k=0,n+1
iter=iter+(LL**k)*vnk_q(n,k,Nf)
end do
val=val+(alpha**n)*iter
end do
end if
zetaMUpert=mu*C0_const/bT*EXP(-val)
else if (orderZETA==0) then !!! LO
zetaMUpert=mu*C0_const/bT
else !!!! just in case
zetaMUpert=1_dp
end if
end function zetaMUpert
| 5,762 | 24.843049 | 106 | f90 |
artemide-public | artemide-public-master/src/Code/TMD_AD/AD_primary.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of TMD_AD module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!--------------------------------------------PRIMARY ADs------------------------------------------------
!!!-------------------------------------------------------------------------------------------------------
!!!! sets the values of beta function
!!!! the expressions are taken from [1701.01404]
subroutine SetBetaFunction()
integer::n
!! 1-loop
do n=NfMIN,NfMAX
beta_internal(0,n)=11d0/3d0*CA-4d0/3d0*TF*n
end do
!! 2-loop
do n=NfMIN,NfMAX
beta_internal(1,n)=34d0/3d0*(CA**2)-20d0/3d0*CA*TF*n-4d0*CF*TF*n
end do
!! 3-loop
do n=NfMIN,NfMAX
beta_internal(2,n)=2857d0/54d0*(CA**3) -1415d0/27d0*(CA**2)*TF*n -205d0/9d0*CF*CA*TF*n +2d0*(CF**2)*TF*n&
+44d0/9d0*CF*(TF**2)*(n**2) +158d0/27d0*CA*(TF**2)*(n**2)
end do
!! 4-loop
do n=NfMIN,NfMAX
beta_internal(3,n)=(CA**4)*(150653d0/486d0 -44d0/9d0*zeta3) +dAA*(-80d0/9d0 +704d0/3d0*zeta3)&
+(CA**3)*TF*n*(-39143d0/81d0 +136d0/3d0*zeta3) +(CA**2)*CF*TF*n*(7073d0/243d0 -656d0/9d0*zeta3)&
+CA*(CF**2)*TF*n*(-4204d0/27d0 +352d0/9d0*zeta3) +dFA*n*(512d0/9d0 -1664d0/3d0*zeta3)&
+46d0*(CF**3)*TF*n +(CA**2)*(TF**2)*(n**2)*(7930d0/81d0 +224d0/9d0*zeta3)&
+(CF**2)*(TF**2)*(n**2)*(1352d0/27d0 -704d0/9d0*zeta3)&
+CA*CF*(TF**2)*(n**2)*(17152d0/243d0 +448d0/9d0*zeta3) +dFF*(n**2)*(-704d0/9d0 +512d0/3d0*zeta3)&
+424d0/243d0*CA*(TF**3)*(n**3) +1232d0/243d0*CF*(TF**3)*(n**3)
end do
!! 5-loop
do n=NfMIN,NfMAX
beta_internal(4,n)=(CA**5)*(8296235d0/3888d0 -1630d0/81d0*zeta3 +121d0/6d0*zeta4 -1045d0/9d0*zeta5)&
+dAA*CA*(-514d0/3d0 +18716d0/3d0*zeta3 -968d0*zeta4 -15400d0/3d0*zeta5)&
+(CA**4)*TF*n*(-5048959d0/972d0 +10505d0/81d0*zeta3 -583d0/3d0*zeta4 +1230d0*zeta5)&
+(CA**3)*CF*TF*n*(8141995d0/1944d0 +146d0*zeta3 +902d0/3d0*zeta4 -8720d0/3d0*zeta5)&
+(CA**2)*(CF**2)*TF*n*(-548732d0/81d0 -50581d0/27d0*zeta3 -484d0/3d0*zeta4 +12820d0/3d0*zeta5)&
+CA*(CF**3)*TF*n*(3717d0 +5696d0/3d0*zeta3 -7480d0/3d0*zeta5)&
-(CF**4)*TF*n*(4157d0/6d0 +128d0*zeta3)&
+dAA*TF*n*(904d0/9d0 -20752d0/9d0*zeta3 +352d0*zeta4 +4000d0/9d0*zeta5)&
+dFA*CA*n*(11312d0/9d0 -127736d0/9d0*zeta3 +2288d0*zeta4 +67520d0/9d0*zeta5)&
+dFA*CF*n*(-320d0 +1280d0/3d0*zeta3 +6400d0/3d0*zeta5)&
+(CA**3)*(TF**2)*(n**2)*(843067d0/486d0 +18446d0/27d0*zeta3 -104d0/3d0*zeta4-2200d0/3d0*zeta5)&
+(CA**2)*CF*(TF**2)*(n**2)*(5701d0/162d0 +26452d0/27d0*zeta3 -944d0/3d0*zeta4 +1600d0/3d0*zeta5)&
+(CF**2)*CA*(TF**2)*(n**2)*(31583d0/18d0 -28628d0/27d0*zeta3 +1144d0/3d0*zeta4 -4400d0/3d0*zeta5)&
+(CF**3)*(TF**2)*(n**2)*(-5018d0/9d0 -2144d0/3d0*zeta3 +4640d0/3d0*zeta5)&
+dFA*TF*(n**2)*(-3680d0/9d0 +40160d0/9d0*zeta3 -832d0*zeta4 -1280d0/9d0*zeta5)&
+dFF*CA*(n**2)*(-7184d0/3d0 +40336d0/9d0*zeta3 -704d0*zeta4 +2240d0/9d0*zeta5)&
+dFF*CF*(n**2)*(4160d0/3d0 +5120d0/3d0*zeta3 -12800d0/3d0*zeta5)&
+(CA**2)*(TF**3)*(n**3)*(-2077d0/27d0 -9736d0/81d0*zeta3 +112d0/3d0*zeta4 +320d0/9d0*zeta5)&
+CA*CF*(TF**3)*(n**3)*(-736d0/81d0 -5680d0/27d0*zeta3 +224d0/3d0*zeta4)&
+(CF**2)*(TF**3)*(n**3)*(-9922d0/81d0 +7616d0/27d0*zeta3 -352d0/3d0*zeta4)&
+dFF*TF*(n**3)*(3520d0/9d0 - 2624d0/3d0*zeta3 +256d0*zeta4 +1280d0/3d0*zeta5)&
+CA*(TF**4)*(n**4)*(916d0/243d0 -640d0/81d0*zeta3) - CF*(TF**4)*(n**4)*(856d0/243d0 +128d0/27d0*zeta3)
end do
end subroutine SetBetaFunction
!!!! sets the values of cusp anomalous dimension
!!!! the 4-loop expression is taken from [2001.11377] (appendix C)
!!!! the 5-loop expression is taken from [1812.11818] formula (13), central value(!!)
!!!! only nf=3,4,5 avalible
subroutine SetGammaCuspQuark()
integer::n
!! 1-loop
do n=NfMIN,NfMAX
GammaCuspQ_internal(0,n)=CF*4d0
end do
!! 2-loop
do n=NfMIN,NfMAX
GammaCuspQ_internal(1,n)=4d0*CF*(CA*(67d0/9d0 -2*zeta2) -10d0/9d0*n)
end do
!! 3-loop
do n=NfMIN,NfMAX
GammaCuspQ_internal(2,n)=4d0*CF*(&
(CA**2)*(245d0/6d0 -268d0/9d0*zeta2 +22d0/3d0*zeta3 +22d0*zeta4)&
+CA*n*(-209d0/27d0 +40d0/9d0*zeta2 -28d0/3d0*zeta3)&
+CF*n*(-55d0/6d0 +8d0*zeta3) -(n**2)*4d0/27d0)
end do
!! 4-loop
do n=NfMIN,NfMAX
GammaCuspQ_internal(3,n)=CF*(&
dFA*(7040d0/3d0*zeta5 +256d0/3d0*zeta3-768d0*(zeta3**2) -256d0*zeta2 -15872d0/35d0*(zeta2**3))&
+dFF*n*(-2560d0/3d0*zeta5 -512d0/3d0*zeta3 +512d0*zeta2)&
+(n**3)*(-32d0/81d0 +64d0/27d0*zeta3)&
+CF*(n**2)*(2392d0/81d0 -640d0/9d0*zeta3 +64d0/5d0*(zeta2**2))&
+(CF**2)*n*(572d0/9d0 -320d0*zeta5 +592d0/3d0*zeta3)&
+CA*(n**2)*(923d0/81d0 +2240d0/27d0*zeta3 -608d0/81d0*zeta2 -224d0/15d0*(zeta2**2))&
+CF*CA*n*(-34066d0/81d0 +160d0*zeta5 +3712d0/9d0*zeta3 +440d0/3d0*zeta2 -128*zeta2*zeta3 -352d0/5d0*(zeta2**2))&
+(CA**2)*n*(-24137d0/81d0 +2096d0/9d0*zeta5 -23104d0/27d0*zeta3 +20320d0/81d0*zeta2 &
+448d0/3d0*zeta2*zeta3 -352d0/15d0*(zeta2**2))&
+(CA**3)*(84278d0/81d0 - 3608d0/9d0*zeta5 +20944d0/27d0*zeta3 -16d0*(zeta3**2) &
-88400d0/81d0*zeta2 -352d0/3d0*zeta2*zeta3 +3608d0/5d0*(zeta2**2)-20032d0/105d0*(zeta2**3)))
end do
!! 5-loop
do n=NfMIN,NfMAX
if(n<=3) then
GammaCuspQ_internal(4,n)=4d0*CF*32417.5d0
else if(n==4) then
GammaCuspQ_internal(4,n)=4d0*CF*19949.2d0
else
GammaCuspQ_internal(4,n)=4d0*CF*12468.3d0
end if
end do
end subroutine SetGammaCuspQuark
!!!! sets the values of cusp anomalous dimension
!!!! the values up to 3-loop are the same as for the quark *CA/CF
!!!! the explicit 4-loop expression is not given yet.
!!!! Instead, I use the numeric values for given in [1805.09638]
!!!! the 5-loop expression is taken as CA/CF from [1812.11818] formula (13), central value(!!)
!!!! only nf=3,4,5 avalible,
subroutine SetGammaCuspGluon()
integer::n
!! 1-loop
do n=NfMIN,NfMAX
GammaCuspG_internal(0,n)=CA*4d0
end do
!! 2-loop
do n=NfMIN,NfMAX
GammaCuspG_internal(1,n)=4d0*CA*(CA*(67d0/9d0 -2*zeta2) -10d0/9d0*n)
end do
!! 3-loop
do n=NfMIN,NfMAX
GammaCuspG_internal(2,n)=4d0*CA*(&
(CA**2)*(245d0/6d0 -268d0/9d0*zeta2 +22d0/3d0*zeta3 +22d0*zeta4)&
+CA*n*(-209d0/27d0 +40d0/9d0*zeta2 -28d0/3d0*zeta3)&
+CF*n*(-55d0/6d0 +8d0*zeta3) -(n**2)*4d0/27d0)
end do
!! 4-loop
do n=NfMIN,NfMAX
GammaCuspG_internal(3,n)=40880.d0 - 11714.d0*n + 440.0488d0*(n**2) + 7.362774d0*(n**3)
end do
!! 5-loop
do n=NfMIN,NfMAX
if(n<=3) then
GammaCuspG_internal(4,n)=4d0*CA*32417.5d0
else if(n==4) then
GammaCuspG_internal(4,n)=4d0*CA*19949.2d0
else
GammaCuspG_internal(4,n)=4d0*CA*12468.3d0
end if
end do
end subroutine SetGammaCuspGluon
!!!! sets the values of vector FF anomalous dimension
!!!! it is defined with factor 2 (standard for TMD physics)
!!!! 3-loop expression is taken from [1004.3653]
!!!! 4-loop expression is taken from [2202.04660] (aux-file, 2,3-loops confirmed)
subroutine SetGammaVQuark()
integer::n
!! 1-loop
do n=NfMIN,NfMAX
GammaVQ_internal(1,n)=-6d0*CF
end do
!! 2-loop
do n=NfMIN,NfMAX
GammaVQ_internal(2,n)=2d0*CF*(&
CF*(-3d0/2d0 +12d0*zeta2 -24d0*zeta3)&
+CA*(-961d0/54d0 -11d0*zeta2 +26d0*zeta3)&
+n*(65d0/27d0 +2d0*zeta2))
end do
!! 3-loop
do n=NfMIN,NfMAX
GammaVQ_internal(3,n)=2d0*CF*(&
CF*n*(2953d0/54d0 -26d0/3d0*zeta2 -140d0/3d0*zeta4 +256d0/9d0*zeta3)&
+(n**2)*(2417d0/729d0 -20d0/9d0*zeta2 -8d0/27d0*zeta3)&
+CA*n*(-8659d0/729d0 +2594d0/81d0*zeta2 +22d0*zeta4 -964d0/27d0*zeta3)&
+(CF**2)*(-29d0/2d0 -18d0*zeta2 -144d0*zeta4 -68d0*zeta3 +32d0*zeta2*zeta3 +240d0*zeta5)&
+CF*CA*(-151d0/4d0 +410d0/3d0*zeta2 +494d0/3d0*zeta4 -844d0/3d0*zeta3 -16d0*zeta2*zeta3 -120d0*zeta5)&
+(CA**2)*(-139345d0/2916d0 -7163d0/81d0*zeta2 -83d0*zeta4 +3526d0/9d0*zeta3 -88d0/3d0*zeta2*zeta3 -136d0*zeta5))
end do
!! 4-loop
do n=NfMIN,NfMAX
GammaVQ_internal(4,n)=-24503.6d0 + 7857.17d0*n - 414.043d0*n**2 - 6.51577d0*n**3
end do
end subroutine SetGammaVQuark
!!!! sets the values of vector FF anomalous dimension
!!!! it is defined with factor 2 (standard for TMD physics)
!!!! 3-loop expression is taken from [1004.3653]
!!!! 4-loop expression is taken from [2202.04660] (aux-file, 2,3-loops confirmed)
subroutine SetGammaVGluon()
integer::n
!! 1-loop
do n=NfMIN,NfMAX
GammaVG_internal(1,n)=-22d0/3d0*CA+4d0/3d0*n
end do
!! 2-loop
do n=NfMIN,NfMAX
GammaVG_internal(2,n)=2d0*(&
(CA**2)*(-692d0/27d0 +11d0/3d0*zeta2+2d0*zeta3) +CA*n*(128d0/27d0 -2d0/3d0*zeta2) +2*CF*n)
end do
!! 3-loop
do n=NfMIN,NfMAX
GammaVG_internal(3,n)=2d0*(&
(CA**3)*(-97186d0/729d0 +6109d0/81d0*zeta2 -319d0/3d0*zeta4 +122d0/3d0*zeta3 -40d0/3d0*zeta2*zeta3 -16d0*zeta5)&
+(CA**2)*n*(30715d0/1458d0 -1198d0/81d0*zeta2 +82d0/3d0*zeta4 +356d0/27d0*zeta3)&
+CF*CA*n*(1217d0/27d0 -2d0*zeta2 -8d0*zeta4 -152d0/9d0*zeta3)&
+CA*(n**2)*(-269d0/1458d0 +20d0/27d0*zeta2 -56d0/27d0*zeta3)&
-(CF**2)*n -11d0/9d0*CF*(n**2))
end do
!! 4-loop
do n=NfMIN,NfMAX
GammaVG_internal(4,n)=-84790.4d0 + 29077.5d0*n - 906.871d0*n**2 - 2.90651d0*n**3
end do
end subroutine SetGammaVGluon
!!!! sets the values of finite part for RAD
!!!! Expression is taken from [1707.07606]
!!!! 4-loop expression is taken from aux-files in [2205.02249]
subroutine SetDn0Quark()
integer::n
!! 1-loop
do n=NfMIN,NfMAX
d_nk_Q_internal(1,0,n)=0d0
end do
!! 2-loop
do n=NfMIN,NfMAX
d_nk_Q_internal(2,0,n)=CF*CA*(404d0/27d0-14d0*zeta3)-CF*n*56d0/27d0
end do
!! 3-loop
do n=NfMIN,NfMAX
d_nk_Q_internal(3,0,n)=CF*(CA**2)*(297029d0/1458d0 -3196d0/81d0*zeta2 &
-6164d0/27d0*zeta3 -77d0/3d0*zeta4 +88d0/3d0*zeta2*zeta3 +96d0*zeta5)&
+CF*CA*n*(-31313d0/729d0 +412d0/81d0*zeta2 +452d0/27d0*zeta3 -10d0/3d0*zeta4)&
+(CF**2)*n*(-1711d0/54d0 +152d0/9d0*zeta3 +8d0*zeta4)&
+CF*(n**2)*(928d0/729d0 +16d0/9d0*zeta3)
end do
!! 4-loop
do n=NfMIN,NfMAX
d_nk_Q_internal(4,0,n)=350.834d0 - 2428.14d0*n + 378.306d0*n**2 - 8.07192d0*n**3
end do
end subroutine SetDn0Quark
!!!! sets the values of finite part for RAD
!!!! Expression is taken from [1707.07606]
!!!! at this order the differance between quark and gluon is CA/CF
!!!! 4-loop expression is taken from aux-files in [2205.02249] (there is no CA/CF any more)
subroutine SetDn0Gluon()
integer::n
!! 1-loop
do n=NfMIN,NfMAX
d_nk_G_internal(1,0,n)=0d0
end do
!! 2-loop
do n=NfMIN,NfMAX
d_nk_G_internal(2,0,n)=(CA**2)*(404d0/27d0-14d0*zeta3)-CA*n*56d0/27d0
end do
!! 3-loop
do n=NfMIN,NfMAX
d_nk_G_internal(3,0,n)=(CA**3)*(297029d0/1458d0 -3196d0/81d0*zeta2 &
-6164d0/27d0*zeta3 -77d0/3d0*zeta4 +88d0/3d0*zeta2*zeta3 +96d0*zeta5)&
+(CA**2)*n*(-31313d0/729d0 +412d0/81d0*zeta2 +452d0/27d0*zeta3 -10d0/3d0*zeta4)&
+CF*CA*n*(-1711d0/54d0 +152d0/9d0*zeta3 +8d0*zeta4)&
+CA*(n**2)*(928d0/729d0 +16d0/9d0*zeta3)
end do
!! 4-loop
do n=NfMIN,NfMAX
d_nk_G_internal(3,0,n)=-333.77d0 - 5506.38d0*n + 851.188d0*n**2 - 18.1618d0*n**3
end do
end subroutine SetDn0Gluon
| 13,009 | 41.37785 | 130 | f90 |
artemide-public | artemide-public-master/src/Code/TMD_AD/AD_secondary.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of TMD_AD module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!--------------------------------------------SECONDARY ADs------------------------------------------------
!!!-------------------------------------------------------------------------------------------------------
!!!! sets the values of logarithm part for QUARK
!!!! Expression is taken from [1707.07606]
subroutine SetDnkQuark()
integer::n
!! 1-loop
!! *[checked 18.05.22]
do n=NfMIN,NfMAX
d_nk_Q_internal(1,4,n)=0d0
d_nk_Q_internal(1,3,n)=0d0
d_nk_Q_internal(1,2,n)=0d0
d_nk_Q_internal(1,1,n)=GammaCusp_q(0,n)/2d0
end do
!! 2-loop
!! *[checked 18.05.22]
do n=NfMIN,NfMAX
d_nk_Q_internal(2,4,n)=0d0
d_nk_Q_internal(2,3,n)=0d0
d_nk_Q_internal(2,2,n)=GammaCusp_q(0,n)*betaQCD(0,n)/4d0
d_nk_Q_internal(2,1,n)=GammaCusp_q(1,n)/2d0
end do
!! 3-loop
!! *[checked 18.05.22]
do n=NfMIN,NfMAX
d_nk_Q_internal(3,4,n)=0
d_nk_Q_internal(3,3,n)=GammaCusp_q(0,n)*(betaQCD(0,n)**2)/6d0
d_nk_Q_internal(3,2,n)=(GammaCusp_q(0,n)*betaQCD(1,n)+2d0*GammaCusp_q(1,n)*betaQCD(0,n))/4d0
d_nk_Q_internal(3,1,n)=(GammaCusp_q(2,n)+4d0*dnk_q(2,0,n)*betaQCD(0,n))/2d0
end do
!! 4-loop
do n=NfMIN,NfMAX
d_nk_Q_internal(4,4,n)=GammaCusp_q(0,n)*(betaQCD(0,n)**3)/8d0
d_nk_Q_internal(4,3,n)=5d0/12d0*GammaCusp_q(0,n)*betaQCD(0,n)*betaQCD(1,n)&
+GammaCusp_q(1,n)*(betaQCD(0,n)**2)/2d0
d_nk_Q_internal(4,2,n)=GammaCusp_q(0,n)*betaQCD(2,n)/4d0+GammaCusp_q(1,n)*betaQCD(1,n)/2d0&
+3d0/4d0*GammaCusp_q(2,n)*betaQCD(0,n)&
+3d0*dnk_q(2,0,n)*(betaQCD(0,n)**2)
d_nk_Q_internal(4,1,n)=GammaCusp_q(3,n)/2d0+2d0*dnk_q(2,0,n)*betaQCD(1,n)&
+3d0*dnk_q(3,0,n)*betaQCD(0,n)
end do
end subroutine SetDnkQuark
!!!! sets the values of logarithm part for RAD GLUON
!!!! Expression is taken from [1707.07606]
subroutine SetDnkGluon()
integer::n
!! 1-loop
do n=NfMIN,NfMAX
d_nk_G_internal(1,4,n)=0d0
d_nk_G_internal(1,3,n)=0d0
d_nk_G_internal(1,2,n)=0d0
d_nk_G_internal(1,1,n)=GammaCusp_g(0,n)/2d0
end do
!! 2-loop
do n=NfMIN,NfMAX
d_nk_G_internal(2,4,n)=0d0
d_nk_G_internal(2,3,n)=0d0
d_nk_G_internal(2,2,n)=GammaCusp_g(0,n)*betaQCD(0,n)/4d0
d_nk_G_internal(2,1,n)=GammaCusp_g(1,n)/2d0
end do
!! 3-loop
do n=NfMIN,NfMAX
d_nk_G_internal(3,4,n)=0d0
d_nk_G_internal(3,3,n)=GammaCusp_g(0,n)*(betaQCD(0,n)**2)/6d0
d_nk_G_internal(3,2,n)=(GammaCusp_g(0,n)*betaQCD(1,n)+2d0*GammaCusp_g(1,n)*betaQCD(0,n))/4d0
d_nk_G_internal(3,1,n)=(GammaCusp_g(2,n)+4d0*dnk_g(2,0,n)*betaQCD(0,n))/2d0
end do
!! 4-loop
do n=NfMIN,NfMAX
d_nk_G_internal(4,4,n)=GammaCusp_g(0,n)*(betaQCD(0,n)**3)/8d0
d_nk_G_internal(4,3,n)=5d0/12d0*GammaCusp_q(0,n)*betaQCD(0,n)*betaQCD(1,n)&
+GammaCusp_g(1,n)*(betaQCD(0,n)**2)/2d0
d_nk_G_internal(4,2,n)=GammaCusp_g(0,n)*betaQCD(2,n)/4d0+GammaCusp_g(1,n)*betaQCD(1,n)/2d0&
+3d0/4d0*GammaCusp_g(2,n)*betaQCD(0,n)&
+3d0*dnk_g(2,0,n)*(betaQCD(0,n)**2)
d_nk_G_internal(4,1,n)=GammaCusp_g(3,n)/2d0+2d0*dnk_g(2,0,n)*betaQCD(1,n)&
+3d0*dnk_g(3,0,n)*betaQCD(0,n)
end do
end subroutine SetDnkGluon
!!!! sets the values of RAD-resummed coefficients for QUARK
!!!! D=-GAMMA0/2BETA0(LOG(1-X)+as^n/(1-X)^n dnkl X^k Log(1-X)^l
subroutine SetDnklQuark()
integer::n,i,j
real(dp)::B1,B2,B3,B4,G1,G2,G3,G4,DD2,DD3,DD4
do n=NfMIN,NfMAX
B1=betaQCD(1,n)/betaQCD(0,n)
B2=betaQCD(2,n)/betaQCD(0,n)
B3=betaQCD(3,n)/betaQCD(0,n)
B4=betaQCD(4,n)/betaQCD(0,n)
G1=GammaCusp_q(1,n)/GammaCusp_q(0,n)
G2=GammaCusp_q(2,n)/GammaCusp_q(0,n)
G3=GammaCusp_q(3,n)/GammaCusp_q(0,n)
G4=GammaCusp_q(4,n)/GammaCusp_q(0,n)
DD2=-2d0*dnk_q(2,0,n)*betaQCD(0,n)/GammaCusp_q(0,n)
DD3=-2d0*dnk_q(3,0,n)*betaQCD(0,n)/GammaCusp_q(0,n)
DD4=-2d0*dnk_q(4,0,n)*betaQCD(0,n)/GammaCusp_q(0,n)
!! 1-loop
!! *checked [18.05.22]
d_nkl_Q_internal(1,0,1,n)=B1
d_nkl_Q_internal(1,1,0,n)=B1-G1
d_nkl_Q_internal(1,0,0,n)=0d0
!! 2-loop
!! *checked [18.05.22]
d_nkl_Q_internal(2,0,2,n)=-(B1**2)/2d0
d_nkl_Q_internal(2,0,1,n)=B1*G1
d_nkl_Q_internal(2,2,0,n)=(G2-B1*G1-B2+B1**2)/2d0
d_nkl_Q_internal(2,1,0,n)=B1*G1-G2
d_nkl_Q_internal(2,0,0,n)=DD2
d_nkl_Q_internal(2,2,2,n)=0d0
d_nkl_Q_internal(2,1,1,n)=0d0
!! 3-loop
d_nkl_Q_internal(3,0,3,n)=(B1**3)/3d0
d_nkl_Q_internal(3,0,2,n)=-(B1**3)/2d0-(B1**2)*G1
d_nkl_Q_internal(3,0,1,n)=B1*G2-2d0*B1*DD2
d_nkl_Q_internal(3,1,1,n)=B1*B2-B1**3
d_nkl_Q_internal(3,3,0,n)=1d0/3d0*(B1**3-2d0*B1*B2+B3-(B1**2)*G1+B2*G1+B1*G2-G3)
d_nkl_Q_internal(3,2,0,n)=-0.5d0*(B1**3)+B1*B2-0.5d0*B3+(B1**2)*G1-B2*G1-B1*G2+G3
d_nkl_Q_internal(3,1,0,n)=B1*G2-G3
d_nkl_Q_internal(3,0,0,n)=DD3
d_nkl_Q_internal(3,1,2,n)=0d0
d_nkl_Q_internal(3,1,3,n)=0d0
d_nkl_Q_internal(3,2,1,n)=0d0
d_nkl_Q_internal(3,2,2,n)=0d0
d_nkl_Q_internal(3,2,3,n)=0d0
d_nkl_Q_internal(3,3,1,n)=0d0
d_nkl_Q_internal(3,3,2,n)=0d0
d_nkl_Q_internal(3,3,3,n)=0d0
!! 4-loop
do i=0,4
do j=0,4
d_nkl_Q_internal(4,i,j,n)=0d0
end do
end do
d_nkl_Q_internal(4,0,4,n)=-(B1**4)/4d0
d_nkl_Q_internal(4,0,3,n)=5d0/6d0*(B1**4)+(B1**3)*G1
d_nkl_Q_internal(4,0,2,n)=-(B1**2*B2)/2d0 + 3d0*B1**2*DD2 - B1**3*G1 - 3d0*B1**2*G2/2d0
d_nkl_Q_internal(4,1,2,n)=B1**4 - B1**2*B2
d_nkl_Q_internal(4,0,1,n)=-2d0*B1**2*DD2 - 3d0*B1*DD3 + B1*G3
d_nkl_Q_internal(4,1,1,n)=-(B1**2*B2) + B1*B3 - 2d0*B1**3*G1 + 2d0*B1*B2*G1
d_nkl_Q_internal(4,2,1,n)=-B1**4/2d0 + B1**2*B2 - (B1*B3)/2d0
d_nkl_Q_internal(4,4,0,n)=(B1**4 - 3d0*B1**2*B2 + B2**2 + 2d0*B1*B3 - B4 &
- B1**3*G1 + 2d0*B1*B2*G1 - B3*G1 + B1**2*G2 - B2*G2 - B1*G3 + G4)/4d0
d_nkl_Q_internal(4,3,0,n)=(-2*B1**4 + 6*B1**2*B2 - 2*B2**2 - 4*B1*B3 + 2*B4 + 3*B1**3*G1 &
- 6*B1*B2*G1 + 3*B3*G1 - 3*B1**2*G2 + 3*B2*G2 + 3*B1*G3 - 3*G4)/3d0
d_nkl_Q_internal(4,2,0,n)=(-(B1**2*B2) + 2*B1*B3 - B4 - 2*B1**3*G1 + 4*B1*B2*G1 - 2*B3*G1 &
+ 3*B1**2*G2 - 3*B2*G2 - 3*B1*G3 + 3*G4)/2d0
d_nkl_Q_internal(4,1,0,n)=-2*B1**2*DD2 + 2*B2*DD2 + B1*G3 - G4
d_nkl_Q_internal(4,0,0,n)=DD4
end do
end subroutine SetDnklQuark
!!!! sets the values of RAD-resummed coefficients for QUARK
!!!! D=-GAMMA0/2BETA0(LOG(1-X)+as^n/(1-X)^n dnkl X^k Log(1-X)^l
subroutine SetDnklGluon()
integer::n, i,j
real(dp)::B1,B2,B3,B4,G1,G2,G3,G4,DD2,DD3,DD4
do n=NfMIN,NfMAX
B1=betaQCD(1,n)/betaQCD(0,n)
B2=betaQCD(2,n)/betaQCD(0,n)
B3=betaQCD(3,n)/betaQCD(0,n)
B4=betaQCD(4,n)/betaQCD(0,n)
G1=GammaCusp_g(1,n)/GammaCusp_g(0,n)
G2=GammaCusp_g(2,n)/GammaCusp_g(0,n)
G3=GammaCusp_g(3,n)/GammaCusp_g(0,n)
G4=GammaCusp_g(4,n)/GammaCusp_g(0,n)
DD2=-2d0*dnk_g(2,0,n)*betaQCD(0,n)/GammaCusp_g(0,n)
DD3=-2d0*dnk_g(3,0,n)*betaQCD(0,n)/GammaCusp_g(0,n)
DD4=-2d0*dnk_g(4,0,n)*betaQCD(0,n)/GammaCusp_g(0,n)
!! 1-loop
d_nkl_G_internal(1,0,1,n)=B1
d_nkl_G_internal(1,1,0,n)=B1-G1
d_nkl_G_internal(1,0,0,n)=0d0
!! 2-loop
d_nkl_G_internal(2,0,2,n)=-(B1**2)/2d0
d_nkl_G_internal(2,0,1,n)=B1*G1
d_nkl_G_internal(2,2,0,n)=(G2-B1*G1-B2+B1**2)/2d0
d_nkl_G_internal(2,1,0,n)=B1*G1-G2
d_nkl_G_internal(2,0,0,n)=-2d0*dnk_g(2,0,n)*betaQCD(0,n)/GammaCusp_g(0,n)
d_nkl_G_internal(2,2,2,n)=0d0
d_nkl_G_internal(2,1,1,n)=0d0
!! 3-loop
d_nkl_G_internal(3,0,3,n)=(B1**3)/3d0
d_nkl_G_internal(3,0,2,n)=-(B1**3)/2d0-(B1**2)*G1
d_nkl_G_internal(3,0,1,n)=B1*G2+4d0*dnk_g(2,0,n)*betaQCD(1,n)/GammaCusp_g(0,n)
d_nkl_G_internal(3,1,1,n)=B1*B2-B1**3
d_nkl_G_internal(3,3,0,n)=1d0/3d0*(B1**3-2d0*B1*B2+B3-(B1**2)*G1+B2*G1+B1*G2-G3)
d_nkl_G_internal(3,2,0,n)=-0.5d0*(B1**3)+B1*B2-0.5d0*B3+(B1**2)*G1-B2*G1-B1*G2+G3
d_nkl_G_internal(3,1,0,n)=B1*G2-G3
d_nkl_G_internal(3,0,0,n)=-2d0*dnk_g(3,0,n)*betaQCD(0,n)/GammaCusp_g(0,n)
d_nkl_G_internal(3,1,2,n)=0d0
d_nkl_G_internal(3,1,3,n)=0d0
d_nkl_G_internal(3,2,1,n)=0d0
d_nkl_G_internal(3,2,2,n)=0d0
d_nkl_G_internal(3,2,3,n)=0d0
d_nkl_G_internal(3,3,1,n)=0d0
d_nkl_G_internal(3,3,2,n)=0d0
d_nkl_G_internal(3,3,3,n)=0d0
!! 4-loop
do i=0,4
do j=0,4
d_nkl_G_internal(4,i,j,n)=0d0
end do
end do
d_nkl_G_internal(4,0,4,n)=-(B1**4)/4d0
d_nkl_G_internal(4,0,3,n)=5d0/6d0*(B1**4)+(B1**3)*G1
d_nkl_G_internal(4,0,2,n)=-(B1**2*B2)/2d0 + 3d0*B1**2*DD2 - B1**3*G1 - 3d0*B1**2*G2/2d0
d_nkl_G_internal(4,1,2,n)=B1**4 - B1**2*B2
d_nkl_G_internal(4,0,1,n)=-2d0*B1**2*DD2 - 3d0*B1*DD3 + B1*G3
d_nkl_G_internal(4,1,1,n)=-(B1**2*B2) + B1*B3 - 2d0*B1**3*G1 + 2d0*B1*B2*G1
d_nkl_G_internal(4,2,1,n)=-B1**4/2d0 + B1**2*B2 - (B1*B3)/2d0
d_nkl_G_internal(4,4,0,n)=(B1**4 - 3d0*B1**2*B2 + B2**2 + 2d0*B1*B3 - B4 &
- B1**3*G1 + 2d0*B1*B2*G1 - B3*G1 + B1**2*G2 - B2*G2 - B1*G3 + G4)/4d0
d_nkl_G_internal(4,3,0,n)=(-2*B1**4 + 6*B1**2*B2 - 2*B2**2 - 4*B1*B3 + 2*B4 + 3*B1**3*G1 &
- 6*B1*B2*G1 + 3*B3*G1 - 3*B1**2*G2 + 3*B2*G2 + 3*B1*G3 - 3*G4)/3d0
d_nkl_G_internal(4,2,0,n)=(-(B1**2*B2) + 2*B1*B3 - B4 - 2*B1**3*G1 + 4*B1*B2*G1 - 2*B3*G1 &
+ 3*B1**2*G2 - 3*B2*G2 - 3*B1*G3 + 3*G4)/2d0
d_nkl_G_internal(4,1,0,n)=-2*B1**2*DD2 + 2*B2*DD2 + B1*G3 - G4
d_nkl_G_internal(4,0,0,n)=DD4
end do
end subroutine SetDnklGluon
!!!! sets the values of zeta-line PT coefficients for QUARK
!!!! zeta=C0 mu/b*exp(-v), v=a^n L^k v^{(nk)}
subroutine SetVnkQuark()
integer::n
real(dp)::B1,B2,B3,G1,G2,G3,gg1,gg2,gg3,gg4,dd2,dd3,dd4
v_nk_Q_internal=0d0*v_nk_Q_internal
do n=NfMIN,NfMAX
B1=betaQCD(1,n)/betaQCD(0,n)
B2=betaQCD(2,n)/betaQCD(0,n)
B3=betaQCD(3,n)/betaQCD(0,n)
G1=GammaCusp_q(1,n)/GammaCusp_q(0,n)
G2=GammaCusp_q(2,n)/GammaCusp_q(0,n)
G3=GammaCusp_q(3,n)/GammaCusp_q(0,n)
gg1=gammaV_q(1,n)/GammaCusp_q(0,n)
gg2=(gammaV_q(2,n)+dnk_q(2,0,n))/GammaCusp_q(0,n)
gg3=(gammaV_q(3,n)+dnk_q(3,0,n))/GammaCusp_q(0,n)
gg4=(gammaV_q(4,n)+dnk_q(4,0,n))/GammaCusp_q(0,n)
dd2=dnk_q(2,0,n)/GammaCusp_q(0,n)
dd3=dnk_q(3,0,n)/GammaCusp_q(0,n)
dd4=dnk_q(4,0,n)/GammaCusp_q(0,n)
!! 1-loop
v_nk_Q_internal(0,1,n)=0d0
v_nk_Q_internal(0,0,n)=gg1
!! 2-loop
v_nk_Q_internal(1,2,n)=betaQCD(0,n)/12d0
v_nk_Q_internal(1,1,n)=0d0
v_nk_Q_internal(1,0,n)=-gg1*G1+gg2
!! 3-loop
v_nk_Q_internal(2,3,n)=(betaQCD(0,n)**2)/24d0
v_nk_Q_internal(2,2,n)=betaQCD(0,n)/12d0*(B1+G1)
v_nk_Q_internal(2,1,n)=betaQCD(0,n)/2d0*(5d0/3d0*dd2-gg1*G1+gg2)
v_nk_Q_internal(2,0,n)=gg1*(G1**2)-gg2*G1-gg1*G2+gg3
!! 4-loop
v_nk_Q_internal(3,4,n)=19d0*(betaQCD(0,n)**3)/720d0
v_nk_Q_internal(3,3,n)=(betaQCD(0,n)**2)/12d0*(G1+3d0/2d0*B1)
v_nk_Q_internal(3,2,n)=betaQCD(0,n)/12d0*(B2 + B1*G1 - G1**2 + 2d0*G2 &
+ (14d0*dd2 - 5d0*G1*gg1 + 5d0*gg2)*betaQCD(0,n))
v_nk_Q_internal(3,1,n)=betaQCD(0,n)/6d0*(5d0*B1*dd2 + 8d0*dd3 - 6d0*dd2*G1 &
- 3d0*B1*G1*gg1 + 6d0*G1**2*gg1 - 6d0*G2*gg1 + 3d0*B1*gg2 &
- 6d0*G1*gg2 + 6d0*gg3)
v_nk_Q_internal(3,0,n)=-(G1**3*gg1) + 2d0*G1*G2*gg1 - G3*gg1 + G1**2*gg2 &
- G2*gg2 - G1*gg3 + gg4 + ((-5d0*dd2**2)/3d0 - dd2*G1*gg1 + dd2*gg2)*betaQCD(0,n)
!! 5-loop partially
v_nk_Q_internal(4,5,n)=3d0*(betaQCD(0,n)**4)/160d0
v_nk_Q_internal(4,4,n)=(betaQCD(0,n)**3)/720d0*(104*B1 + 57*G1)
v_nk_Q_internal(4,3,n)=betaQCD(0,n)**2/24d0*(2d0*B1**2 + 4d0*B2 + 5d0*B1*G1 - 3d0*G1**2 + 6d0*G2 &
+ ((511d0*dd2)/15d0 - 9d0*G1*gg1 + 9d0*gg2)*betaQCD(0,n))
v_nk_Q_internal(4,2,n)=betaQCD(0,n)/12d0*(B3 + B2*G1 - B1*G1**2 + G1**3 + 2d0*B1*G2 - 3d0*G1*G2 &
+ 3*G3 + (35d0*B1*dd2 + 33d0*dd3 - 24d0*dd2*G1 - 12d0*B1*G1*gg1 + 13d0*G1**2*gg1 &
- 14d0*G2*gg1 + 12d0*B1*gg2 - 13d0*G1*gg2 + 14d0*gg3)*betaQCD(0,n))
v_nk_Q_internal(4,1,n)=betaQCD(0,n)/6d0*(5*B2*dd2 + 8*B1*dd3 + 11*dd4 - 6*B1*dd2*G1 - 9*dd3*G1 &
+ 7*dd2*G1**2 - 7*dd2*G2 - 3*B2*G1*gg1 + 6*B1*G1**2*gg1 - 9*G1**3*gg1 - 6*B1*G2*gg1 &
+ 18*G1*G2*gg1 - 9*G3*gg1 + 3*B2*gg2 - 6*B1*G1*gg2 + 9*G1**2*gg2 - 9*G2*gg2 + 6*B1*gg3 &
- 9*G1*gg3 + 9*gg4 + (-29*dd2**2 - 16*dd2*G1*gg1 + 16*dd2*gg2)*betaQCD(0,n))
v_nk_Q_internal(4,0,n)=0d0
end do
end subroutine SetVnkQuark
!!!! sets the values of zeta-line PT coefficients for QUARK
!!!! zeta=C0 mu/b*exp(-v), v=a^n L^k v^{(nk)}
subroutine SetVnkGluon()
integer::n
real(dp)::B1,B2,B3,G1,G2,G3,gg1,gg2,gg3,gg4,dd2,dd3,dd4
v_nk_G_internal=0d0*v_nk_G_internal
do n=NfMIN,NfMAX
B1=betaQCD(1,n)/betaQCD(0,n)
B2=betaQCD(2,n)/betaQCD(0,n)
B2=betaQCD(3,n)/betaQCD(0,n)
G1=GammaCusp_g(1,n)/GammaCusp_g(0,n)
G2=GammaCusp_g(2,n)/GammaCusp_g(0,n)
G3=GammaCusp_g(3,n)/GammaCusp_g(0,n)
gg1=gammaV_g(1,n)/GammaCusp_g(0,n)
gg2=(gammaV_g(2,n)+dnk_g(2,0,n))/GammaCusp_g(0,n)
gg3=(gammaV_g(3,n)+dnk_g(3,0,n))/GammaCusp_g(0,n)
gg4=(gammaV_g(4,n)+dnk_g(4,0,n))/GammaCusp_g(0,n)
dd2=dnk_g(2,0,n)/GammaCusp_g(0,n)
dd3=dnk_g(3,0,n)/GammaCusp_g(0,n)
dd4=dnk_g(4,0,n)/GammaCusp_g(0,n)
!! 1-loop
v_nk_G_internal(0,1,n)=0d0
v_nk_G_internal(0,0,n)=gg1
!! 2-loop
v_nk_G_internal(1,2,n)=betaQCD(0,n)/12d0
v_nk_G_internal(1,1,n)=0d0
v_nk_G_internal(1,0,n)=-gg1*G1+gg2
!! 3-loop
v_nk_G_internal(2,3,n)=(betaQCD(0,n)**2)/24d0
v_nk_G_internal(2,2,n)=betaQCD(0,n)/12d0*(B1+G1)
v_nk_G_internal(2,1,n)=betaQCD(0,n)/2d0*(5d0/3d0*dd2-gg1*G1+gg2)
v_nk_G_internal(2,0,n)=gg1*(G1**2)-gg2*G1-gg1*G2+gg3
!! 4-loop
v_nk_G_internal(3,4,n)=19d0*(betaQCD(0,n)**3)/720d0
v_nk_G_internal(3,3,n)=(betaQCD(0,n)**2)/12d0*(G1+3d0/2d0*B1)
v_nk_G_internal(3,2,n)=betaQCD(0,n)/12d0*(B2 + B1*G1 - G1**2 + 2d0*G2 &
+ (14d0*dd2 - 5d0*G1*gg1 + 5d0*gg2)*betaQCD(0,n))
v_nk_G_internal(3,1,n)=betaQCD(0,n)/6d0*(5d0*B1*dd2 + 8d0*dd3 - 6d0*dd2*G1 &
- 3d0*B1*G1*gg1 + 6d0*G1**2*gg1 - 6d0*G2*gg1 + 3d0*B1*gg2 &
- 6d0*G1*gg2 + 6d0*gg3)
v_nk_G_internal(3,0,n)=-(G1**3*gg1) + 2d0*G1*G2*gg1 - G3*gg1 + G1**2*gg2 &
- G2*gg2 - G1*gg3 + gg4 + ((-5d0*dd2**2)/3d0 - dd2*G1*gg1 + dd2*gg2)*betaQCD(0,n)
!! 5-loop partially
v_nk_G_internal(4,5,n)=3d0*(betaQCD(0,n)**4)/160d0
v_nk_G_internal(4,4,n)=(betaQCD(0,n)**3)/720d0*(104*B1 + 57*G1)
v_nk_G_internal(4,3,n)=betaQCD(0,n)**2/24d0*(2d0*B1**2 + 4d0*B2 + 5d0*B1*G1 - 3d0*G1**2 + 6d0*G2 &
+ ((511d0*dd2)/15d0 - 9d0*G1*gg1 + 9d0*gg2)*betaQCD(0,n))
v_nk_G_internal(4,2,n)=betaQCD(0,n)/12d0*(B3 + B2*G1 - B1*G1**2 + G1**3 + 2d0*B1*G2 - 3d0*G1*G2 &
+ 3*G3 + (35d0*B1*dd2 + 33d0*dd3 - 24d0*dd2*G1 - 12d0*B1*G1*gg1 + 13d0*G1**2*gg1 &
- 14d0*G2*gg1 + 12d0*B1*gg2 - 13d0*G1*gg2 + 14d0*gg3)*betaQCD(0,n))
v_nk_G_internal(4,1,n)=betaQCD(0,n)/6d0*(5*B2*dd2 + 8*B1*dd3 + 11*dd4 - 6*B1*dd2*G1 - 9*dd3*G1 &
+ 7*dd2*G1**2 - 7*dd2*G2 - 3*B2*G1*gg1 + 6*B1*G1**2*gg1 - 9*G1**3*gg1 - 6*B1*G2*gg1 &
+ 18*G1*G2*gg1 - 9*G3*gg1 + 3*B2*gg2 - 6*B1*G1*gg2 + 9*G1**2*gg2 - 9*G2*gg2 + 6*B1*gg3 &
- 9*G1*gg3 + 9*gg4 + (-29*dd2**2 - 16*dd2*G1*gg1 + 16*dd2*gg2)*betaQCD(0,n))
v_nk_G_internal(4,0,n)=0d0
end do
end subroutine SetVnkGluon
!!!! sets the values of EXACT zeta-line PT coefficients for QUARK
!!!! zeta=mu^2*exp(-1/beta0/as * OMEGA), OMEGA=a^n OMEGA^{(nk)} ...
!!!! ... in each term different.
subroutine SetOMEGAnkQuark()
integer::n
real(dp)::B1,B2,B3,B4,G1,G2,G3,G4,gg1,gg2,gg3,gg4,commonF
OMEGA_nk_Q_internal=0d0*OMEGA_nk_Q_internal
do n=NfMIN,NfMAX
B1=betaQCD(1,n)/betaQCD(0,n)
B2=betaQCD(2,n)/betaQCD(0,n)
B3=betaQCD(3,n)/betaQCD(0,n)
B4=betaQCD(4,n)/betaQCD(0,n)
G1=GammaCusp_q(1,n)/GammaCusp_q(0,n)
G2=GammaCusp_q(2,n)/GammaCusp_q(0,n)
G3=GammaCusp_q(3,n)/GammaCusp_q(0,n)
G4=GammaCusp_q(4,n)/GammaCusp_q(0,n)
gg1=gammaV_q(1,n)*betaQCD(0,n)/GammaCusp_q(0,n)
gg2=gammaV_q(2,n)*betaQCD(0,n)/GammaCusp_q(0,n)
gg3=gammaV_q(3,n)*betaQCD(0,n)/GammaCusp_q(0,n)
gg4=gammaV_q(4,n)*betaQCD(0,n)/GammaCusp_q(0,n)
pFACTOR_Q_internal(n)=2d0*betaQCD(0,n)/GammaCusp_q(0,n)
commonF=1d0/betaQCD(0,n)
!! 0-loop
!! * z_1
OMEGA_nk_Q_internal(0,1,n)=1d0*commonF
!! 1-loop
!! * z_1
OMEGA_nk_Q_internal(1,1,n)=(B1-G1)*commonF
!! * 1
OMEGA_nk_Q_internal(1,2,n)=gg1*commonF
!! * p
OMEGA_nk_Q_internal(1,3,n)=-B1/2d0*commonF
!! 2-loop
!! * z_1
OMEGA_nk_Q_internal(2,1,n)=(B2-B1*G1+G1**2-G2)/2d0*commonF
!! * z_{-1}
OMEGA_nk_Q_internal(2,2,n)=((-B2+B1*G1+G1**2-G2)/2d0-G1*gg1+gg2)*commonF
!! * 1
OMEGA_nk_Q_internal(2,3,n)=(-G1*gg1+gg2)*commonF
!! 3-loop
!! * z_1
OMEGA_nk_Q_internal(3,1,n)=(2d0*B3+(B1**2)*G1-B2*G1-G1**3+3*G1*G2-B1*B2-B1*G2-2d0*G3)/6d0*commonF
!! * z_{-1}
!!! corrected 17.11.2022
OMEGA_nk_Q_internal(3,2,n)=(-B2+B1*G1+G1**2-G2-2d0*G1*gg1+2d0*gg2)*(G1-B1)/2d0*commonF
!! * z_{-2}
OMEGA_nk_Q_internal(3,3,n)=((-B1*B2-B3+(B1**2)*G1+2d0*B2*G1-4d0*(G1**3)-B1*G2+6d0*G1*G2-2d0*G3)/12d0&
+(2d0*G1-B1)*(G1*gg1-gg2)/2d0-(G2*gg1-gg3)/2d0)*commonF
!! * 1
OMEGA_nk_Q_internal(3,4,n)=((G1**2)*gg1-G2*gg1-G1*gg2+gg3)*commonF
!! * p (leading term of expansion z[1]+z[-1]+z[-2] parts.)
!! this is used to cure the groving tail
OMEGA_nk_Q_internal(3,5,n)=(-G1**3 + 2*G1*G2 - G3 - B1*G1*gg1 + 3*G1**2*gg1 &
- 2*G2*gg1 + B1*gg2 - 3*G1*gg2 + 2*gg3)/2d0*commonF
!! 4-loop
!! * z_1
OMEGA_nk_Q_internal(4,1,n)=(2d0*B1**2*B2 - 3d0*B2**2 - 4d0*B1*B3 + 6d0*B4 - 2d0*B1**3*G1 &
+ 6d0*B1*B2*G1 - 2d0*B3*G1 - B1**2*G1**2 - 2d0*B2*G1**2 + 2d0*B1*G1**3 &
+ G1**4 + 2d0*B1**2*G2 - 2d0*B1*G1*G2 - 6d0*G1**2*G2 + 3d0*G2**2 - 2d0*B1*G3 &
+ 8d0*G1*G3 - 6d0*G4)/24d0*commonF
!! * z_{-1}
OMEGA_nk_Q_internal(4,2,n)=(2d0*B1**2 - B2 - 3d0*B1*G1 + G1**2 + G2)*(-B2 + B1*G1 &
+ G1**2 - G2 - 2d0*G1*gg1 + 2d0*gg2)/4d0*commonF
!! * z_{-2}
OMEGA_nk_Q_internal(4,3,n)=(B1*B2 + B3 - B1**2*G1 - 2d0*B2*G1 + 4d0*G1**3 + B1*G2 - 6d0*G1*G2 &
+ 2d0*G3 + 6d0*B1*G1*gg1 - 12d0*G1**2*gg1 + 6d0*G2*gg1 - 6d0*B1*gg2 &
+ 12d0*G1*gg2 - 6d0*gg3)*(B1-G1)/6d0*commonF
!! * z_{-3}
OMEGA_nk_Q_internal(4,4,n)=(-2*B1**2*B2 - B2**2 - 4*B1*B3 - 2*B4 + 2*B1**3*G1 + 10*B1*B2*G1 &
+ 6*B3*G1 - 3*B1**2*G1**2 - 6*B2*G1**2 - 18*B1*G1**3 + 27*G1**4 - 2*B1**2*G2 + 30*B1*G1*G2 &
- 54*G1**2*G2 + 9*G2**2 - 10*B1*G3 + 24*G1*G3 - 6*G4 - 24*B1**2*G1*gg1 - 12*B2*G1*gg1 &
+ 108*B1*G1**2*gg1 - 108*G1**3*gg1 - 48*B1*G2*gg1 + 108*G1*G2*gg1 - 24*G3*gg1 &
+ 24*B1**2*gg2 + 12*B2*gg2 - 108*B1*G1*gg2 + 108*G1**2*gg2 - 36*G2*gg2 + 48*B1*gg3 &
- 72*G1*gg3 + 24*gg4)/72d0*commonF
!! * 1
OMEGA_nk_Q_internal(4,5,n)=(-(G1**3*gg1) + 2*G1*G2*gg1 - G3*gg1 + G1**2*gg2 &
- G2*gg2 - G1*gg3 + gg4)*commonF
end do
! write(*,*) "w0"
! write(*,*) OMEGA_nk_Q_internal(0,1,3),OMEGA_nk_Q_internal(0,1,4),OMEGA_nk_Q_internal(0,1,5)
! write(*,*) "w1"
! write(*,*) OMEGA_nk_Q_internal(1,1,3),OMEGA_nk_Q_internal(1,1,4),OMEGA_nk_Q_internal(1,1,5)
! write(*,*) OMEGA_nk_Q_internal(1,2,3),OMEGA_nk_Q_internal(1,2,4),OMEGA_nk_Q_internal(1,2,5)
! write(*,*) OMEGA_nk_Q_internal(1,3,3),OMEGA_nk_Q_internal(1,3,4),OMEGA_nk_Q_internal(1,3,5)
! write(*,*) "w2"
! write(*,*) OMEGA_nk_Q_internal(2,1,3),OMEGA_nk_Q_internal(2,1,4),OMEGA_nk_Q_internal(2,1,5)
! write(*,*) OMEGA_nk_Q_internal(2,2,3),OMEGA_nk_Q_internal(2,2,4),OMEGA_nk_Q_internal(2,2,5)
! write(*,*) OMEGA_nk_Q_internal(2,3,3),OMEGA_nk_Q_internal(2,3,4),OMEGA_nk_Q_internal(2,3,5)
! write(*,*) "w3"
! write(*,*) OMEGA_nk_Q_internal(3,1,3),OMEGA_nk_Q_internal(3,1,4),OMEGA_nk_Q_internal(3,1,5)
! write(*,*) OMEGA_nk_Q_internal(3,2,3),OMEGA_nk_Q_internal(3,2,4),OMEGA_nk_Q_internal(3,2,5)
! write(*,*) OMEGA_nk_Q_internal(3,3,3),OMEGA_nk_Q_internal(3,3,4),OMEGA_nk_Q_internal(3,3,5)
! write(*,*) OMEGA_nk_Q_internal(3,4,3),OMEGA_nk_Q_internal(3,4,4),OMEGA_nk_Q_internal(3,4,5)
! write(*,*) OMEGA_nk_Q_internal(3,5,3),OMEGA_nk_Q_internal(3,5,4),OMEGA_nk_Q_internal(3,5,5)
! write(*,*) "w4"
! write(*,*) OMEGA_nk_Q_internal(4,1,3),OMEGA_nk_Q_internal(4,1,4),OMEGA_nk_Q_internal(4,1,5)
! write(*,*) OMEGA_nk_Q_internal(4,2,3),OMEGA_nk_Q_internal(4,2,4),OMEGA_nk_Q_internal(4,2,5)
! write(*,*) OMEGA_nk_Q_internal(4,3,3),OMEGA_nk_Q_internal(4,3,4),OMEGA_nk_Q_internal(4,3,5)
! write(*,*) OMEGA_nk_Q_internal(4,4,3),OMEGA_nk_Q_internal(4,4,4),OMEGA_nk_Q_internal(4,4,5)
! write(*,*) OMEGA_nk_Q_internal(4,5,3),OMEGA_nk_Q_internal(4,5,4),OMEGA_nk_Q_internal(4,5,5)
end subroutine SetOMEGAnkQuark
!!!! sets the values of EXACT zeta-line PT coefficients for QUARK
!!!! zeta=mu^2*exp(-1/as * OMEGA), OMEGA=a^n OMEGA^{(nk)} ...
!!!! ... in each term different.
subroutine SetOMEGAnkGluon()
integer::n
real(dp)::B1,B2,B3,B4,G1,G2,G3,G4,gg1,gg2,gg3,gg4,commonF
OMEGA_nk_G_internal=0d0*OMEGA_nk_G_internal
do n=NfMIN,NfMAX
B1=betaQCD(1,n)/betaQCD(0,n)
B2=betaQCD(2,n)/betaQCD(0,n)
B3=betaQCD(3,n)/betaQCD(0,n)
B4=betaQCD(4,n)/betaQCD(0,n)
G1=GammaCusp_g(1,n)/GammaCusp_g(0,n)
G2=GammaCusp_g(2,n)/GammaCusp_g(0,n)
G3=GammaCusp_g(3,n)/GammaCusp_g(0,n)
G4=GammaCusp_g(4,n)/GammaCusp_g(0,n)
gg1=gammaV_g(1,n)*betaQCD(0,n)/GammaCusp_g(0,n)
gg2=gammaV_g(2,n)*betaQCD(0,n)/GammaCusp_g(0,n)
gg3=gammaV_g(3,n)*betaQCD(0,n)/GammaCusp_g(0,n)
gg4=gammaV_g(4,n)*betaQCD(0,n)/GammaCusp_g(0,n)
pFACTOR_G_internal(n)=2d0*betaQCD(0,n)/GammaCusp_g(0,n)
commonF=1d0/betaQCD(0,n)
!! 0-loop
!! * z_1
OMEGA_nk_G_internal(0,1,n)=1d0*commonF
!! 1-loop
!! * z_1
OMEGA_nk_G_internal(1,1,n)=(B1-G1)*commonF
!! * 1
OMEGA_nk_G_internal(1,2,n)=gg1*commonF
!! * p
OMEGA_nk_G_internal(1,3,n)=-B1/2d0*commonF
!! 2-loop
!! * z_1
OMEGA_nk_G_internal(2,1,n)=(B2-B1*G1+G1**2-G2)/2d0*commonF
!! * z_{-1}
OMEGA_nk_G_internal(2,2,n)=((-B2+B1*G1+G1**2-G2)/2d0-G1*gg1+gg2)*commonF
!! * 1
OMEGA_nk_G_internal(2,3,n)=(-G1*gg1+gg2)*commonF
!! 3-loop
!! * z_1
OMEGA_nk_G_internal(3,1,n)=(2d0*B3+(B1**2)*G1-B2*G1-G1**3+3*G1*G2-B1*B2-B1*G2-2d0*G3)/6d0*commonF
!! * z_{-1}
OMEGA_nk_G_internal(3,2,n)=(-B2+B1*G1+G1**2-G2-2d0*G1*gg1+2d0*gg2)*(B1-G1)/2d0*commonF
!! * z_{-2}
OMEGA_nk_G_internal(3,3,n)=((-B1*B2-B3+(B1**2)*G1+2d0*B2*G1-4d0*(G1**3)-B1*G2+6d0*G1*G2-2d0*G3)/12d0&
+(2d0*G1-B1)*(G1*gg1-gg2)/2d0-(G2*gg1-gg3)/2d0)*commonF
!! * 1
OMEGA_nk_G_internal(3,4,n)=((G1**2)*gg1-G2*gg1-G1*gg2+gg3)*commonF
!! * p (leading term of expansion z[-1]+z[-2] parts.)
!! this is used to cure the groving tail
OMEGA_nk_G_internal(3,5,n)=(B1*B2 - 2*B3 - B1**2*G1 + B2*G1 - 5*G1**3 + B1*G2 + 9*G1*G2 - 4*G3 &
- 6*B1*G1*gg1 + 18*G1**2*gg1 - 12*G2*gg1 + 6*B1*gg2 - 18*G1*gg2 + 12*gg3)/12d0*commonF
!! 4-loop
!! * z_1
OMEGA_nk_G_internal(4,1,n)=(2d0*B1**2*B2 - 3d0*B2**2 - 4d0*B1*B3 + 6d0*B4 - 2d0*B1**3*G1 &
+ 6d0*B1*B2*G1 - 2d0*B3*G1 - B1**2*G1**2 - 2d0*B2*G1**2 + 2d0*B1*G1**3 &
+ G1**4 + 2d0*B1**2*G2 - 2d0*B1*G1*G2 - 6d0*G1**2*G2 + 3d0*G2**2 - 2d0*B1*G3 &
+ 8d0*G1*G3 - 6d0*G4)/24d0*commonF
!! * z_{-1}
OMEGA_nk_G_internal(4,2,n)=(2d0*B1**2 - B2 - 3d0*B1*G1 + G1**2 + G2)*(-B2 + B1*G1 &
+ G1**2 - G2 - 2d0*G1*gg1 + 2d0*gg2)/4d0*commonF
!! * z_{-2}
OMEGA_nk_G_internal(4,3,n)=(B1*B2 + B3 - B1**2*G1 - 2d0*B2*G1 + 4d0*G1**3 + B1*G2 - 6d0*G1*G2 &
+ 2d0*G3 + 6d0*B1*G1*gg1 - 12d0*G1**2*gg1 + 6d0*G2*gg1 - 6d0*B1*gg2 &
+ 12d0*G1*gg2 - 6d0*gg3)*(B1-G1)/6d0*commonF
!! * z_{-3}
OMEGA_nk_G_internal(4,4,n)=(-2*B1**2*B2 - B2**2 - 4*B1*B3 - 2*B4 + 2*B1**3*G1 + 10*B1*B2*G1 &
+ 6*B3*G1 - 3*B1**2*G1**2 - 6*B2*G1**2 - 18*B1*G1**3 + 27*G1**4 - 2*B1**2*G2 + 30*B1*G1*G2 &
- 54*G1**2*G2 + 9*G2**2 - 10*B1*G3 + 24*G1*G3 - 6*G4 - 24*B1**2*G1*gg1 - 12*B2*G1*gg1 &
+ 108*B1*G1**2*gg1 - 108*G1**3*gg1 - 48*B1*G2*gg1 + 108*G1*G2*gg1 - 24*G3*gg1 &
+ 24*B1**2*gg2 + 12*B2*gg2 - 108*B1*G1*gg2 + 108*G1**2*gg2 - 36*G2*gg2 + 48*B1*gg3 &
- 72*G1*gg3 + 24*gg4)/72d0*commonF
!! * 1
OMEGA_nk_G_internal(4,5,n)=(-(G1**3*gg1) + 2*G1*G2*gg1 - G3*gg1 + G1**2*gg2 &
- G2*gg2 - G1*gg3 + gg4)*commonF
end do
end subroutine SetOMEGAnkGluon
subroutine SetBetaRoots()
integer::n,i,j
real(dp)::B1,B2,B3,B4
COMPLEX*16 :: a,answ
!!!!! TABLES OF ROOTS ARE COMPUTED BY MATHEMATICA
!!!!! for pairs of complex roots the root with Im>0 is first
!!! 3-loop
COMPLEX*16,dimension(0:6),parameter:: root21=[&
(-0.03570178508925446272313615680784,0.080160885478465432575800740549553),&
(-0.038675539164595526336887677383148,0.086322238704594954924135437271609),&
(-0.042909558259571733587612197093758,0.094759912532946789061512692156804),&
(-0.049702303908879109500388299249288,0.107277462500385745931517856995518),&
(-0.06316365127831199015631408649683,0.12852249664419349413270267645244),&
(-0.106868666188965093663629849524,0.17594897561664481697781266179055),&
(-0.21268639236122698844346103757164,0.)]
COMPLEX*16,dimension(0:6),parameter:: root22=[&
(-0.03570178508925446272313615680784,-0.080160885478465432575800740549553),&
(-0.038675539164595526336887677383148,-0.086322238704594954924135437271609),&
(-0.042909558259571733587612197093758,-0.094759912532946789061512692156804),&
(-0.049702303908879109500388299249288,-0.107277462500385745931517856995518),&
(-0.06316365127831199015631408649683,-0.12852249664419349413270267645244),&
(-0.106868666188965093663629849524,-0.17594897561664481697781266179055),&
(1.0126863923612269884434610375716,0.)]
!!! 4-loop
COMPLEX*16,dimension(0:6),parameter:: root31=[&
-0.07241478299428282,-0.07680070354530623,-0.08208483490867254,&
-0.08849217512975707,-0.09621061277365012,-0.10508908839765044,-0.11362023213019258]
COMPLEX*16,dimension(0:6),parameter:: root32=[&
(0.011782712908695248,0.07110324448715928),&
(0.012965518598492015,0.07588307304102093),&
(0.014740652117464371,0.08195773114463775),&
(0.01762023160041607,0.09000832305675134),&
(0.02281953013830925,0.10128572857488127),&
(0.0338021542840822,0.11821077095791804),&
(0.0633829862094608,0.1445765143534799)]
COMPLEX*16,dimension(0:6),parameter:: root33=[&
(0.011782712908695248,-0.07110324448715928),&
(0.012965518598492015,-0.07588307304102093),&
(0.014740652117464371,-0.08195773114463775),&
(0.01762023160041607,-0.09000832305675134),&
(0.02281953013830925,-0.10128572857488127),&
(0.0338021542840822,-0.11821077095791804),&
(0.0633829862094608,-0.1445765143534799)]
!!! 5-loop
COMPLEX*16,dimension(0:6),parameter:: root41=[&
(-0.05591091756225722,0.04182926526696407),&
(-0.06136700935148767,0.044883180457591494),&
(-0.06931025598997154,0.0486907342529324),&
(-0.08235582183306786,0.05320124554862426),&
(-0.10910510735854696,0.05533447765266648),&
(-0.12511060289367348,0.),&
(-0.11397406563300194,0.)]
COMPLEX*16,dimension(0:6),parameter:: root42=[&
(-0.05591091756225722,-0.04182926526696407),&
(-0.06136700935148767,-0.044883180457591494),&
(-0.06931025598997154,-0.0486907342529324),&
(-0.08235582183306786,-0.05320124554862426),&
(-0.10910510735854696,-0.05533447765266648),&
(-0.2793998493629861,0),&
(-9.12266237853665,0)]
COMPLEX*16,dimension(0:6),parameter:: root43=[&
(0.028690317392283806,0.05811172924003517),&
(0.03054701511242339,0.06261303090284312),&
(0.03290023100445615,0.06851832657672867),&
(0.03598915425211804,0.07671897555874341),&
(0.040205175247139464,0.08906642425176058),&
(0.0462770317488488,0.10970531146206083),&
(0.06410815653997126,0.1438532871828738)]
COMPLEX*16,dimension(0:6),parameter:: root44=[&
(0.028690317392283806,-0.05811172924003517),&
(0.03054701511242339,-0.06261303090284312),&
(0.03290023100445615,-0.06851832657672867),&
(0.03598915425211804,-0.07671897555874341),&
(0.040205175247139464,-0.08906642425176058),&
(0.0462770317488488,-0.10970531146206083),&
(0.06410815653997126,-0.1438532871828738)]
betaRoots_internal=0d0*betaRoots_internal
do n=NfMIN,NfMAX
B1=betaQCD(1,n)/betaQCD(0,n)
!!! 2-loop
!!! 1 real root
betaRoots_internal(1,1,n)=-1d0/B1
end do
!!! rest roots are tabulated
if(NfMIN>=0 .and. NfMAX<=6) then
!!! 3-loop
betaRoots_internal(2,1,NfMIN:NfMAX)=root21(NfMIN:NfMAX)
betaRoots_internal(2,2,NfMIN:NfMAX)=root22(NfMIN:NfMAX)
!!! 4-loop
betaRoots_internal(3,1,NfMIN:NfMAX)=root31(NfMIN:NfMAX)
betaRoots_internal(3,2,NfMIN:NfMAX)=root32(NfMIN:NfMAX)
betaRoots_internal(3,3,NfMIN:NfMAX)=root33(NfMIN:NfMAX)
!!! 5-loop
betaRoots_internal(4,1,NfMIN:NfMAX)=root41(NfMIN:NfMAX)
betaRoots_internal(4,2,NfMIN:NfMAX)=root42(NfMIN:NfMAX)
betaRoots_internal(4,3,NfMIN:NfMAX)=root43(NfMIN:NfMAX)
betaRoots_internal(4,4,NfMIN:NfMAX)=root44(NfMIN:NfMAX)
else
!!! 3-loop
betaRoots_internal(2,1,0:6)=root21(0:6)
betaRoots_internal(2,2,0:6)=root22(0:6)
!!! 4-loop
betaRoots_internal(3,1,0:6)=root31(0:6)
betaRoots_internal(3,2,0:6)=root32(0:6)
betaRoots_internal(3,3,0:6)=root33(0:6)
!!! 5-loop
betaRoots_internal(4,1,0:6)=root41(0:6)
betaRoots_internal(4,2,0:6)=root42(0:6)
betaRoots_internal(4,3,0:6)=root43(0:6)
betaRoots_internal(4,4,0:6)=root44(0:6)
write(*,*) ErrorString('Beta-roots are not defined for Nf<0, and Nf>6.',moduleName)
write(*,*) 'All cases beyond: [Nf(min),Nf(max)] = [', NfMIN, ', ', NfMAX, '], are ignored.'
end if
!!! checking procedure
do n=NfMIN,NfMAX
B1=betaQCD(1,n)/betaQCD(0,n)
B2=betaQCD(2,n)/betaQCD(0,n)
B3=betaQCD(3,n)/betaQCD(0,n)
B4=betaQCD(4,n)/betaQCD(0,n)
do i=1,4
do j=1,i
a=betaRoots_internal(i,j,n)
answ=1d0+B1*a
if(i>1) answ=answ+B2*a**2
if(i>2) answ=answ+B3*a**3
if(i>3) answ=answ+B4*a**4
!!! the test of roots must be relative. I.e. for large roots, absolute precision decreses
if(abs(dreal(answ)/max(1.,abs(a**i)))<0.000001 .and. abs(aimag(answ)/max(1.,abs(a**i)))<0.000001 )then
!write(*,'(I1,"-loop , root-", I1, " Nf=",I2, ": PASS")') i,j,n
else
write(*,*) ErrorString('The beta-root is incorrect:',moduleName)
write(*,'(I1,"-loop , root-", I1, " Nf=",I2, ": root incorrect")') i,j,n
write(*,*) "EQN yealds=", answ
end if
end do
end do
end do
end subroutine SetBetaRoots
| 34,012 | 44.050331 | 114 | f90 |
artemide-public | artemide-public-master/src/Code/TMD_AD/exactZetaLine.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of TMDR module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------The expression for exact zeta-line----------------------------------------
!!!-------------------------------------------------------------------------------------------------------
!!!!!!!!!! exact value of zeta-line at given b,mu expanded over as
!!!!!!!!!! rad = dNP
function zetaSL(mu,rad,f)
real(dp)::zetaSL
real(dp),intent(in)::rad,mu
integer,intent(in)::f
real(dp)::alpha,GD
if (orderZETA<0) then
zetaSL=1d0
return
end if
alpha=As(mu)
!!dd=DNP(mu,b,f)
if(f==0) then
GD=valueOfGD_type4_G(rad,alpha,mu)
else
GD=valueOfGD_type4_Q(rad,alpha,mu)
end if
!write(*,*) '..........',b,rad,alpha,GD
zetaSL=(mu**2)*exp(-GD)
end function zetaSL
!!! expression for G, at given D,alpha, and mu
!!! evaluated for type4 evolution for Quark
function valueOfGD_type4_Q(dd,alpha,mu)
real(dp)::valueOfGD_type4_Q,dd,alpha,mu
integer::Nf
real(dp)::p,pFF,z1,zm1,zm2,zm3,val
if (orderZETA<0) then
valueOfGD_type4_Q=0d0
return
end if
Nf=ActiveNf(mu)
pFF=pFACTOR_Q(Nf)
p=dd*pFF
z1=zFUNC(p,1)
val=z1*OMEGA_q(0,1,Nf)
if(orderZETA>=1) then
val=val+alpha*(z1*OMEGA_q(1,1,Nf)+OMEGA_q(1,2,Nf)+p*OMEGA_q(1,3,Nf))
if(orderZETA>=2) then
zm1=zFUNC(p,-1)
val=val+(alpha**2)*(z1*OMEGA_q(2,1,Nf)+zm1*OMEGA_q(2,2,Nf)+OMEGA_q(2,3,Nf))
if(orderZETA>=3) then
!!! the problem is that the coefficients of z[-1], z[-2], are negative
!!! therefore at large D the expression for R, diverges exponentially.
!!! however, z[] \sim as, therefore, these terms contribute to as^4.
!!! here I kill them. Istead I add their expansion up to p
!val=val+(alpha**3)*(OMEGA_q(3,4,Nf)+p*OMEGA_q(3,5,Nf))
!!! killed part
!!!+z1*OMEGA_q(3,1,Nf)+zm1*OMEGA_q(3,2,Nf)+zm2*OMEGA_q(3,3,Nf)
!!! full expression
zm2=zFUNC(p,-2)
val=val+(alpha**3)*(OMEGA_q(3,4,Nf)+z1*OMEGA_q(3,1,Nf)+zm1*OMEGA_q(3,2,Nf)+zm2*OMEGA_q(3,3,Nf))
if(orderZETA>=4) then
!!! here is the same problem. So I just kill z[-1],z[-2],z[-3]
!!! since they formally gives as^5
!!! I do not add anything -- no need
!val=val+(alpha**4)*(OMEGA_q(4,5,Nf))
!!! killed part
!!!+z1*OMEGA_q(4,1,Nf)+zm1*OMEGA_q(4,2,Nf)+zm2*OMEGA_q(4,3,Nf)+zm3*OMEGA_q(4,4,Nf)
!!! full expression
zm3=zFUNC(p,-3)
val=val+(alpha**4)*(OMEGA_q(4,5,Nf)+z1*OMEGA_q(4,1,Nf) &
+zm1*OMEGA_q(4,2,Nf)+zm2*OMEGA_q(4,3,Nf)+zm3*OMEGA_q(4,4,Nf))
end if
end if
end if
end if
valueOfGD_type4_Q=val/alpha
end function valueOfGD_type4_Q
!!! expression for G*D, at given D,alpha, and mu
!!! evaluated for type4 evolution for Quark
function valueOfGD_type4_G(dd,alpha,mu)
real(dp)::valueOfGD_type4_G,dd,alpha,mu
integer::Nf
real(dp)::p,pFF,z1,zm1,zm2,val
if (orderZETA<0) then
valueOfGD_type4_G=0d0
return
end if
Nf=ActiveNf(mu)
pFF=pFACTOR_G(Nf)
p=dd*pFF
z1=zFUNC(p,1)
val=z1*OMEGA_g(0,1,Nf)
if(orderZETA>=1) then
val=val+alpha*(z1*OMEGA_g(1,1,Nf)+OMEGA_g(1,2,Nf)+p*OMEGA_g(1,3,Nf))
if(orderZETA>=2) then
zm1=zFUNC(p,-1)
val=val+(alpha**2)*(z1*OMEGA_g(2,1,Nf)+zm1*OMEGA_g(2,2,Nf)+OMEGA_g(2,3,Nf))
if(orderZETA>=3) then
! zm2=zFUNC(p,-2)
!!! the problem is that the coefficients of z[-1], z[-2], are negative
!!! therefore at large D the expression for R, diverges exponentially.
!!! however, z[] \sim as, therefore, these terms contribute to as^4.
!!! here I kill them. Istead I add their expansion up to p
val=val+(alpha**3)*(OMEGA_g(3,4,Nf)+p*OMEGA_g(3,5,Nf))
!!! killed part
!!!+z1*OMEGA_g(3,1,Nf)+zm1*OMEGA_g(3,2,Nf)+zm2*OMEGA_g(3,3,Nf)
if(orderZETA>=4) then
!!! here is the same problem. So I just kill z[-1],z[-2],z[-3]
!!! since they formally gives as^5
!!! I do not add anything -- no need
val=val+(alpha**4)*(OMEGA_g(4,5,Nf))
!!! killed part
!!!+z1*OMEGA_g(4,1,Nf)+zm1*OMEGA_g(4,2,Nf)+zm2*OMEGA_g(4,3,Nf)+zm3*OMEGA_g(4,4,Nf)
end if
end if
end if
end if
valueOfGD_type4_G=val/alpha
end function valueOfGD_type4_G
!!! this is z=(exp(- np)-1+np)/p
pure function zFUNC(p,n)
real(dp)::zFUNC
real(dp),intent(in)::p
integer,intent(in)::n
real(dp):: freezeP
!!!! in the case p~0, the computation requires cancelation of zero, I expand in a series
if(Abs(p)>0.00001d0) then
!!!! In the case n<0, and p very large, the exponent blows-up
!!!! this is due to the nonperurbative effects. Because it happen at b->infty
!!!! To cure this problem, I freeze the expression for n<0, and large p.
!!!! For typical CS-kernels, this freze starts at p~2 or b>~5-6 GeV [at 2GeV, and b~2 at 100 GeV], and is suppressed as as^3, or as^4.
!!!! Therefore, it should not be important,
if(n<0 .and. p>2.) then
!!! the tail is 3a/2+ p/(1-p*(3/a**2)), where a is the point at which the effect turns on
!!! in this form, the function is continious with its first derivative
freezeP=3d0+p/(1d0-0.75d0*p**2)
zFUNC=(real(n,dp)*freezeP-1d0+Exp(-real(n,dp)*freezeP))/freezeP
else
!! normal case
zFUNC=(real(n,dp)*p-1d0+Exp(-real(n,dp)*p))/p
end if
else
!!!! in the case p~0, the computation requires cancelation of zero, I expand in a series
zFUNC=real(n**2,dp)*p/2d0-real(n**3,dp)*(p**2)/6d0
end if
end function zFUNC
| 6,499 | 33.946237 | 142 | f90 |
artemide-public | artemide-public-master/src/Code/TMDs/TMD-calls.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of TMDs module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Routines for composition of TMD distributions-----------------------------
!!!-------------------------------------------------------------------------------------------------------
!!!!!!!!!!!!!!!!!!!uTMDPDF!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!! upolarized TMDPDF
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function uTMDPDF_5_Ev(x,bt,muf,zetaf,hadron)
real(dp)::uTMDPDF_5_Ev(-5:5)
real(dp),intent(in):: x,bt,muf,zetaf
integer,intent(in)::hadron
real(dp):: mui,Rkernel
SELECT CASE(EvolutionType)
CASE(1)!!!! improved D
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,c1_global*mu0(bt),1)
CASE(2)!!!! improved gamma
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,1)
CASE(3)!!!! fixed mu
Rkernel=TMDR_Rzeta(bt,muf,zetaf,1)
CASE(4)!!!! exact solution via zeta-line
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,1)
END SELECT
uTMDPDF_5_Ev=Rkernel*uTMDPDF_lowScale5(x,bT,hadron)
!!! forcefully set =0 below threshold
if(muf<mBOTTOM) then
uTMDPDF_5_Ev(5)=0_dp
uTMDPDF_5_Ev(-5)=0_dp
end if
if(muf<mCHARM) then
uTMDPDF_5_Ev(4)=0_dp
uTMDPDF_5_Ev(-4)=0_dp
end if
end function uTMDPDF_5_Ev
!!!!!!!! upolarized TMDPDF
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function uTMDPDF_50_Ev(x,bt,muf,zetaf,hadron)
real(dp)::uTMDPDF_50_Ev(-5:5)
real(dp),intent(in):: x,bt,muf,zetaf
integer,intent(in)::hadron
real(dp):: mui,Rkernel ,RkernelG
SELECT CASE(EvolutionType)
CASE(1)!!!! improved D
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,c1_global*mu0(bt),1)
RkernelG=TMDR_Rzeta(bt,muf,zetaf,mui,c1_global*mu0(bt),0)
CASE(2)!!!! improved gamma
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,1)
RkernelG=TMDR_Rzeta(bt,muf,zetaf,mui,0)
CASE(3)!!!! fixed mu
Rkernel=TMDR_Rzeta(bt,muf,zetaf,1)
RkernelG=TMDR_Rzeta(bt,muf,zetaf,0)
CASE(4)!!!! exact solution via zeta-line
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bT,muf,zetaf,mui,1)
RkernelG=TMDR_Rzeta(bt,muf,zetaf,mui,0)
END SELECT
!uTMDPDF_50_Ev=Rkernel*uTMDPDF_lowScale50(x,bT,hadron)
!uTMDPDF_50_Ev(0)=uTMDPDF_50_Ev(0)*RkernelG/Rkernel
uTMDPDF_50_Ev=uTMDPDF_lowScale50(x,bT,hadron)*&
(/Rkernel,Rkernel,Rkernel,Rkernel,Rkernel,RkernelG,Rkernel,Rkernel,Rkernel,Rkernel,Rkernel/)
!!! forcefully set =0 below threshold
if(muf<mBOTTOM) then
uTMDPDF_50_Ev(5)=0_dp
uTMDPDF_50_Ev(-5)=0_dp
end if
if(muf<mCHARM) then
uTMDPDF_50_Ev(4)=0_dp
uTMDPDF_50_Ev(-4)=0_dp
end if
end function uTMDPDF_50_Ev
!!!!!!!! upolarized TMDPDF OPTIMAL
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function uTMDPDF_5_optimal(x,bt,hadron)
real(dp)::uTMDPDF_5_optimal(-5:5)
real(dp),intent(in):: x,bt
integer,intent(in)::hadron
uTMDPDF_5_optimal=uTMDPDF_lowScale5(x,bT,hadron)
end function uTMDPDF_5_optimal
!!!!!!!! upolarized TMDPDF
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function uTMDPDF_50_optimal(x,bt,hadron)
real(dp)::uTMDPDF_50_optimal(-5:5)
real(dp),intent(in):: x,bt
integer,intent(in)::hadron
uTMDPDF_50_optimal=uTMDPDF_lowScale50(x,bT,hadron)
end function uTMDPDF_50_optimal
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PRODUCTS FOR DY!!!!!!!!!!!!!!!!!!!!!!
!!! Product of quark*antiquark uTMDPDFs. Slightly faster then just product
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function uPDF_uPDF(x1,x2,bt,muf,zetaf,hadron1,hadron2)
real(dp),dimension(-5:5)::uPDF_uPDF
real(dp),intent(in):: x1,x2,bt,muf,zetaf
integer,intent(in)::hadron1,hadron2
real(dp):: mui,Rkernel
real(dp),dimension(-5:5)::tmd1,tmd2
SELECT CASE(EvolutionType)
CASE(1)!!!! improved D
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,c1_global*mu0(bt),1)
CASE(2)!!!! improved gamma
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,1)
CASE(3)!!!! fixed mu
Rkernel=TMDR_Rzeta(bt,muf,zetaf,1)
CASE(4)!!!! exact solution via zeta-line
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,1)
END SELECT
tmd1=uTMDPDF_lowScale5(x1,bT,hadron1)
tmd2=uTMDPDF_lowScale5(x2,bT,hadron2)
uPDF_uPDF=(Rkernel**2)*tmd1*(tmd2(5:-5:-1))
!!! forcefully set =0 below threshold
if(muf<mBOTTOM) then
uPDF_uPDF(5)=0_dp
uPDF_uPDF(-5)=0_dp
end if
if(muf<mCHARM) then
uPDF_uPDF(4)=0_dp
uPDF_uPDF(-4)=0_dp
end if
end function uPDF_uPDF
!!! Product of quark*quark uTMDPDFs. Slightly faster then just product
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function uPDF_anti_uPDF(x1,x2,bt,muf,zetaf,hadron1,hadron2)
real(dp),dimension(-5:5)::uPDF_anti_uPDF
real(dp),intent(in):: x1,x2,bt,muf,zetaf
integer,intent(in)::hadron1,hadron2
real(dp):: mui,Rkernel
real(dp),dimension(-5:5)::tmd1,tmd2
SELECT CASE(EvolutionType)
CASE(1)!!!! improved D
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,c1_global*mu0(bt),1)
CASE(2)!!!! improved gamma
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,1)
CASE(3)!!!! fixed mu
Rkernel=TMDR_Rzeta(bt,muf,zetaf,1)
CASE(4)!!!! exact solution via zeta-line
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,1)
END SELECT
tmd1=uTMDPDF_lowScale5(x1,bT,hadron1)
tmd2=uTMDPDF_lowScale5(x2,bT,hadron2)
uPDF_anti_uPDF=(Rkernel**2)*tmd1*tmd2
!!! forcefully set =0 below threshold
if(muf<mBOTTOM) then
uPDF_anti_uPDF(5)=0_dp
uPDF_anti_uPDF(-5)=0_dp
end if
if(muf<mCHARM) then
uPDF_anti_uPDF(4)=0_dp
uPDF_anti_uPDF(-4)=0_dp
end if
end function uPDF_anti_uPDF
!!!!!!!!!!!!!!!!!!!uTMDFF!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!! upolarized TMDFF
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function uTMDFF_5_Ev(x,bt,muf,zetaf,hadron)
real(dp)::uTMDFF_5_Ev(-5:5)
real(dp),intent(in):: x,bt,muf,zetaf
integer,intent(in)::hadron
real(dp):: mui,Rkernel
SELECT CASE(EvolutionType)
CASE(1)!!!! improved D
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,c1_global*mu0(bt),1)
CASE(2)!!!! improved gamma
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,1)
CASE(3)!!!! fixed mu
Rkernel=TMDR_Rzeta(bt,muf,zetaf,1)
CASE(4)!!!! exact solution via zeta-line
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,1)
END SELECT
uTMDFF_5_Ev=Rkernel*uTMDFF_lowScale5(x,bT,hadron)
!!! forcefully set =0 below threshold
if(muf<mBOTTOM) then
uTMDFF_5_Ev(5)=0_dp
uTMDFF_5_Ev(-5)=0_dp
end if
if(muf<mCHARM) then
uTMDFF_5_Ev(4)=0_dp
uTMDFF_5_Ev(-4)=0_dp
end if
end function uTMDFF_5_Ev
!!!!!!!! upolarized TMDFF
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function uTMDFF_50_Ev(x,bt,muf,zetaf,hadron)
real(dp)::uTMDFF_50_Ev(-5:5)
real(dp),intent(in):: x,bt,muf,zetaf
integer,intent(in)::hadron
real(dp):: mui,Rkernel ,RkernelG
SELECT CASE(EvolutionType)
CASE(1)!!!! improved D
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,c1_global*mu0(bt),1)
RkernelG=TMDR_Rzeta(bt,muf,zetaf,mui,c1_global*mu0(bt),0)
CASE(2)!!!! improved gamma
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,1)
RkernelG=TMDR_Rzeta(bt,muf,zetaf,mui,0)
CASE(3)!!!! fixed mu
Rkernel=TMDR_Rzeta(bt,muf,zetaf,1)
RkernelG=TMDR_Rzeta(bt,muf,zetaf,0)
CASE(4)!!!! exact solution via zeta-line
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,1)
RkernelG=TMDR_Rzeta(bt,muf,zetaf,mui,0)
END SELECT
!uTMDFF_50_Ev=Rkernel*uTMDFF_lowScale50(x,bT,hadron)
!uTMDFF_50_Ev(0)=uTMDFF_50_Ev(0)*RkernelG/Rkernel
uTMDFF_50_Ev=uTMDFF_lowScale50(x,bT,hadron)*&
(/Rkernel,Rkernel,Rkernel,Rkernel,Rkernel,RkernelG,Rkernel,Rkernel,Rkernel,Rkernel,Rkernel/)
!!! forcefully set =0 below threshold
if(muf<mBOTTOM) then
uTMDFF_50_Ev(5)=0_dp
uTMDFF_50_Ev(-5)=0_dp
end if
if(muf<mCHARM) then
uTMDFF_50_Ev(4)=0_dp
uTMDFF_50_Ev(-4)=0_dp
end if
end function uTMDFF_50_Ev
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function uTMDFF_5_optimal(x,bt,hadron)
real(dp)::uTMDFF_5_optimal(-5:5)
real(dp),intent(in):: x,bt
integer,intent(in)::hadron
uTMDFF_5_optimal=uTMDFF_lowScale5(x,bT,hadron)
end function uTMDFF_5_optimal
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function uTMDFF_50_optimal(x,bt,hadron)
real(dp)::uTMDFF_50_optimal(-5:5)
real(dp),intent(in):: x,bt
integer,intent(in)::hadron
uTMDFF_50_optimal=uTMDFF_lowScale50(x,bT,hadron)
end function uTMDFF_50_optimal
!!!!!!!!!!!!!!!!!!!lpTMDPDF!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!! linearly polarized gluon TMDPDF
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
! all quark terms are zero!
function lpTMDPDF_50_Ev(x,bt,muf,zetaf,hadron)
real(dp)::lpTMDPDF_50_Ev(-5:5)
real(dp),intent(in):: x,bt,muf,zetaf
integer,intent(in)::hadron
real(dp):: mui,RkernelG
SELECT CASE(EvolutionType)
CASE(1)!!!! improved D
mui=c3_global*mu_LOW(bt)
RkernelG=TMDR_Rzeta(bt,muf,zetaf,mui,c1_global*mu0(bt),0)
CASE(2)!!!! improved gamma
mui=c3_global*mu_LOW(bt)
RkernelG=TMDR_Rzeta(bt,muf,zetaf,mui,0)
CASE(3)!!!! fixed mu
RkernelG=TMDR_Rzeta(bt,muf,zetaf,0)
CASE(4)!!!! exact solution via zeta-line
mui=c3_global*mu_LOW(bt)
RkernelG=TMDR_Rzeta(bt,muf,zetaf,mui,0)
END SELECT
lpTMDPDF_50_Ev=RkernelG*lpTMDPDF_lowScale50(x,bT,hadron)
!!! forcefully set=0 all quarks
! glTMDPDF_50_Ev(5)=0_dp
! glTMDPDF_50_Ev(4)=0_dp
! glTMDPDF_50_Ev(3)=0_dp
! glTMDPDF_50_Ev(2)=0_dp
! glTMDPDF_50_Ev(1)=0_dp
! glTMDPDF_50_Ev(-1)=0_dp
! glTMDPDF_50_Ev(-2)=0_dp
! glTMDPDF_50_Ev(-3)=0_dp
! glTMDPDF_50_Ev(-4)=0_dp
! glTMDPDF_50_Ev(-5)=0_dp
end function lpTMDPDF_50_Ev
!!!!!!!! linearly polarized gluon TMDPDF OPTIMAL
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
! all quark terms are zero!
function lpTMDPDF_50_optimal(x,bt,hadron)
real(dp)::lpTMDPDF_50_optimal(-5:5)
real(dp),intent(in):: x,bt
integer,intent(in)::hadron
lpTMDPDF_50_optimal=lpTMDPDF_lowScale50(x,bT,hadron)
end function lpTMDPDF_50_optimal
!!!!!!!!!!!!!!!!!!!SiversTMDPDF!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!! upolarized TMDFF
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function SiversTMDPDF_5_Ev(x,bt,muf,zetaf,hadron)
real(dp)::SiversTMDPDF_5_Ev(-5:5)
real(dp),intent(in):: x,bt,muf,zetaf
integer,intent(in)::hadron
real(dp):: mui,Rkernel
SELECT CASE(EvolutionType)
CASE(1)!!!! improved D
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,c1_global*mu0(bt),1)
CASE(2)!!!! improved gamma
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,1)
CASE(3)!!!! fixed mu
Rkernel=TMDR_Rzeta(bt,muf,zetaf,1)
CASE(4)!!!! exact solution via zeta-line
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,1)
END SELECT
SiversTMDPDF_5_Ev=Rkernel*SiversTMDPDF_lowScale5(x,bT,hadron)
!!! forcefully set =0 below threshold
if(muf<mBOTTOM) then
SiversTMDPDF_5_Ev(5)=0_dp
SiversTMDPDF_5_Ev(-5)=0_dp
end if
if(muf<mCHARM) then
SiversTMDPDF_5_Ev(4)=0_dp
SiversTMDPDF_5_Ev(-4)=0_dp
end if
end function SiversTMDPDF_5_Ev
!!!!!!!! upolarized TMDFF
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function SiversTMDPDF_50_Ev(x,bt,muf,zetaf,hadron)
real(dp)::SiversTMDPDF_50_Ev(-5:5)
real(dp),intent(in):: x,bt,muf,zetaf
integer,intent(in)::hadron
real(dp):: mui,Rkernel ,RkernelG
SELECT CASE(EvolutionType)
CASE(1)!!!! improved D
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,c1_global*mu0(bt),1)
RkernelG=TMDR_Rzeta(bt,muf,zetaf,mui,c1_global*mu0(bt),0)
CASE(2)!!!! improved gamma
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,1)
RkernelG=TMDR_Rzeta(bt,muf,zetaf,mui,0)
CASE(3)!!!! fixed mu
Rkernel=TMDR_Rzeta(bt,muf,zetaf,1)
RkernelG=TMDR_Rzeta(bt,muf,zetaf,0)
CASE(4)!!!! exact solution via zeta-line
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,1)
RkernelG=TMDR_Rzeta(bt,muf,zetaf,mui,0)
END SELECT
!SiversTMDPDF_50_Ev=Rkernel*SiversTMDPDF_lowScale50(x,bT,hadron)
!SiversTMDPDF_50_Ev(0)=SiversTMDPDF_50_Ev(0)*RkernelG/Rkernel
SiversTMDPDF_50_Ev=SiversTMDPDF_lowScale50(x,bT,hadron)*&
(/Rkernel,Rkernel,Rkernel,Rkernel,Rkernel,RkernelG,Rkernel,Rkernel,Rkernel,Rkernel,Rkernel/)
!!! forcefully set =0 below threshold
if(muf<mBOTTOM) then
SiversTMDPDF_50_Ev(5)=0_dp
SiversTMDPDF_50_Ev(-5)=0_dp
end if
if(muf<mCHARM) then
SiversTMDPDF_50_Ev(4)=0_dp
SiversTMDPDF_50_Ev(-4)=0_dp
end if
end function SiversTMDPDF_50_Ev
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function SiversTMDPDF_5_optimal(x,bt,hadron)
real(dp)::SiversTMDPDF_5_optimal(-5:5)
real(dp),intent(in):: x,bt
integer,intent(in)::hadron
SiversTMDPDF_5_optimal=SiversTMDPDF_lowScale5(x,bT,hadron)
end function SiversTMDPDF_5_optimal
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function SiversTMDPDF_50_optimal(x,bt,hadron)
real(dp)::SiversTMDPDF_50_optimal(-5:5)
real(dp),intent(in):: x,bt
integer,intent(in)::hadron
SiversTMDPDF_50_optimal=SiversTMDPDF_lowScale50(x,bT,hadron)
end function SiversTMDPDF_50_optimal
!!!!!!!!!!!!!!!!!!!wgtTMDPDF!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!! upolarized TMDFF
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function wgtTMDPDF_5_Ev(x,bt,muf,zetaf,hadron)
real(dp)::wgtTMDPDF_5_Ev(-5:5)
real(dp),intent(in):: x,bt,muf,zetaf
integer,intent(in)::hadron
real(dp):: mui,Rkernel
SELECT CASE(EvolutionType)
CASE(1)!!!! improved D
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,c1_global*mu0(bt),1)
CASE(2)!!!! improved gamma
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,1)
CASE(3)!!!! fixed mu
Rkernel=TMDR_Rzeta(bt,muf,zetaf,1)
CASE(4)!!!! exact solution via zeta-line
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,1)
END SELECT
wgtTMDPDF_5_Ev=Rkernel*wgtTMDPDF_lowScale5(x,bT,hadron)
!!! forcefully set =0 below threshold
if(muf<mBOTTOM) then
wgtTMDPDF_5_Ev(5)=0_dp
wgtTMDPDF_5_Ev(-5)=0_dp
end if
if(muf<mCHARM) then
wgtTMDPDF_5_Ev(4)=0_dp
wgtTMDPDF_5_Ev(-4)=0_dp
end if
end function wgtTMDPDF_5_Ev
!!!!!!!! upolarized TMDFF
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function wgtTMDPDF_50_Ev(x,bt,muf,zetaf,hadron)
real(dp)::wgtTMDPDF_50_Ev(-5:5)
real(dp),intent(in):: x,bt,muf,zetaf
integer,intent(in)::hadron
real(dp):: mui,Rkernel ,RkernelG
SELECT CASE(EvolutionType)
CASE(1)!!!! improved D
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,c1_global*mu0(bt),1)
RkernelG=TMDR_Rzeta(bt,muf,zetaf,mui,c1_global*mu0(bt),0)
CASE(2)!!!! improved gamma
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,1)
RkernelG=TMDR_Rzeta(bt,muf,zetaf,mui,0)
CASE(3)!!!! fixed mu
Rkernel=TMDR_Rzeta(bt,muf,zetaf,1)
RkernelG=TMDR_Rzeta(bt,muf,zetaf,0)
CASE(4)!!!! exact solution via zeta-line
mui=c3_global*mu_LOW(bt)
Rkernel=TMDR_Rzeta(bt,muf,zetaf,mui,1)
RkernelG=TMDR_Rzeta(bt,muf,zetaf,mui,0)
END SELECT
!wgtTMDPDF_50_Ev=Rkernel*wgtTMDPDF_lowScale50(x,bT,hadron)
!wgtTMDPDF_50_Ev(0)=wgtTMDPDF_50_Ev(0)*RkernelG/Rkernel
wgtTMDPDF_50_Ev=wgtTMDPDF_lowScale50(x,bT,hadron)*&
(/Rkernel,Rkernel,Rkernel,Rkernel,Rkernel,RkernelG,Rkernel,Rkernel,Rkernel,Rkernel,Rkernel/)
!!! forcefully set =0 below threshold
if(muf<mBOTTOM) then
wgtTMDPDF_50_Ev(5)=0_dp
wgtTMDPDF_50_Ev(-5)=0_dp
end if
if(muf<mCHARM) then
wgtTMDPDF_50_Ev(4)=0_dp
wgtTMDPDF_50_Ev(-4)=0_dp
end if
end function wgtTMDPDF_50_Ev
! vector (bbar,cbar,sbar,ubar,dbar,??,d,u,s,c,b)
function wgtTMDPDF_5_optimal(x,bt,hadron)
real(dp)::wgtTMDPDF_5_optimal(-5:5)
real(dp),intent(in):: x,bt
integer,intent(in)::hadron
wgtTMDPDF_5_optimal=wgtTMDPDF_lowScale5(x,bT,hadron)
end function wgtTMDPDF_5_optimal
! vector (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function wgtTMDPDF_50_optimal(x,bt,hadron)
real(dp)::wgtTMDPDF_50_optimal(-5:5)
real(dp),intent(in):: x,bt
integer,intent(in)::hadron
wgtTMDPDF_50_optimal=wgtTMDPDF_lowScale50(x,bT,hadron)
end function wgtTMDPDF_50_optimal
| 17,694 | 32.198874 | 106 | f90 |
artemide-public | artemide-public-master/src/Code/Twist2/Twist2Convolution-VAR.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 1.4
!
! This file contains the part of the code, which is common for all TMD-evaluation modules that operates at twist-2
! ONLY DECLARATION OF VARIABLES that are used in twist2Convolution
! It shares the variables with the module where it is inlucded (as a text)
! Such idiotic structure is needed since, FORTRAN does not allow inheritance.
!
! Be AWARE of possible clash of variable names.
!
! This part is devoted to the calculation of Mellin convolution
!
! A.Vladimirov (08.10.2018)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!these are globals for the exchange of parameters between functions
! it is used only in the calculation without grid!!!
real(dp):: xCurrent,bTcurrent,muCurrent
real(dp)::muAt1!!!special case for z-dependant mu. it is = mu(z=1)
real(dp),dimension(-5:5)::FPDFcurrent !!!value of fNP(1)*f(xCurrent)
real(dp),dimension(-5:5)::PDFcurrent !!!value of f(xCurrent)
real(dp),dimension(-5:5)::Fcurrent !!!value of fNP(1)
real(dp),dimension(-5:5) :: integralWeight
!!!triger for calculation
logical:: IsMuXdependent
| 1,208 | 45.5 | 114 | f90 |
artemide-public | artemide-public-master/src/Code/Twist2/Twist2Convolution.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 1.4
!
! This file contains the part of the code, which is common for all TMD-evaluation modules that operates at twist-2
! It shares the variables with the module where it is inlucded (as a text)
! Such idiotic structure is needed since, FORTRAN does not allow inheritance.
!
! Be AWARE of possible clash of variable names.
!
! This part is devoted to the calculation of Mellin convolution
!
! v.2.00 Added b* AV (27.03.2019)
!
! A.Vladimirov (08.10.2018)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Supplimentary functions !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------------------------
!Used global variables:
! outputlevel, moduleName
! lambdaNP, FNP, bSTAR, mu_OPE
! QCDinput functions
! aTMDe_Numerics, IO_functions functions
! + variables defined in Twist2Convolution-VAR.f90
!!Evaluate Log[mu^2 bT^2/4/Exp(-2Gamma_E)]
!! the b here is b*, this funciton is used only in Coefficeint functions
function LogMuB(mu,bT)
real(dp)::LogMuB
real(dp),intent(in)::bT,mu
LogMuB=2d0*Log(bSTAR(bT,lambdaNP)*mu*C0_inv_const)
end function LogMuB
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Convolutions!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,g,d,u,s, c ,b
!!---Gluon contribution is undefined
!- The order is accumulative pertrubative order of coefficient =0,1,2 (LO,NLO,NNLO)
!---------------------------------------------------------------------
!!!---
!!! It calculates 1/x int_x^1 dz C[z] f[x/z],
!!! where f is given by xf, C is given by coeff. function.
!!!---
!---------------------------------------------------------------------
function Common_lowScale5(x,bT,hadron)
real(dp),dimension(-5:5)::Common_lowScale5
real(dp),intent(in) :: x, bT
integer,intent(in)::hadron
real(dp) :: alpha,alphaAt1
real(dp) :: Lmu,Nf,LmuAt1, NfAt1
real(dp) :: remnant
real(dp),dimension(-5:5) :: deltaPart
real(dp),dimension(-5:5) :: convolutionPart
integer :: j
xCurrent=x
!! for extrimely small-values of b we freeze its value at b=10^{-6}.
if(bT>1d-6) then
bTcurrent=bT
else
bTcurrent=1d-6
end if
muCurrent=mu_OPE(x,bTcurrent,c4_global)
alpha=As(muCurrent)
Nf=real(activeNf(muCurrent),dp)
Lmu=LogMuB(muCurrent,bTcurrent)
!! in the x-dependent mu we should additionally calculate values at x=1
if(IsMuXdependent) then
!!! we first calculate at z=1
muAt1=mu_OPE(1d0,bTcurrent,c4_global)
LmuAt1=LogMuB(muAt1,bTcurrent)
alphaAt1=As(muAt1)
NfAt1=real(activeNf(muAt1),dp)
end if
!! boundary value of FNP*PDF
if(IsMuXdependent) then
Fcurrent=FNP(xCurrent,1d0,bTcurrent,hadron,lambdaNP)
PDFcurrent=xf(x,muAt1,hadron)!!!!!!!! This is important, since y enters definition of d via mu(y)
FPDFcurrent=Fcurrent*PDFcurrent
else
Fcurrent=FNP(xCurrent,1d0,bTcurrent,hadron,lambdaNP)
PDFcurrent=xf(x,muCurrent,hadron)
FPDFcurrent=Fcurrent*PDFcurrent
end if
!------------DELTA PART-------------------
!Leading order is always here!!
if(IsMuXdependent) then
deltaPart=FPDFcurrent*C_q_q_delta(alphaAt1,NfAt1,LmuAt1)
else
deltaPart=FPDFcurrent*C_q_q_delta(alpha,Nf,Lmu)
end if
!!!!evaluate coefficients
if(order_global>=1) then
call Set_CoeffSing1_q_q(alpha,Nf,Lmu)
call Set_Coeff_q_q(alpha,Nf,Lmu)
call Set_Coeff_q_qb(alpha,Nf,Lmu)
call Set_Coeff_q_qp(alpha,Nf,Lmu)
call Set_Coeff_q_g(alpha,Nf,Lmu)
end if
if(order_global>=1) then
!!!! evaluating Mellin convolution
counter=1 !=1 since there was singe call for FPDFcurrent
!!! The crude estimation of the integral is its tree-value
!!! It is needed to weight the adaptive integration
integralWeight=ABS(FPDFcurrent)
do j=-5,5!!!this is needed since at low energies some of functions =0.
if(ABS(2d0*integralWeight(j))<tolerance) integralWeight(j)=tolerance
end do
!!!! the integral over 1/(1-x)_+ has a remnant part ~delta(1-x)\int_0^x
!!!! these terms appears order-by-order,
!!!! since Log[1-x] can be large I compute it order-by-order to avoid dropping of precision (large number x 0d0)
remnant=CoeffSing1_q_q(1)*LOG(1d0-xCurrent) !!! remnant of 1/(1-x)_+
if(order_global>=2) remnant=remnant+CoeffSing1_q_q(2)*LOG(1d0-xCurrent)**2/2d0 !!! remnant of log[1-x]/(1-x)_+
if(order_global>=3) remnant=remnant+CoeffSing1_q_q(3)*LOG(1d0-xCurrent)**3/3d0 !!! remnant of Log[1-x]^2/(1-x)_+
convolutionPart=MellinConvolutionVectorPart5(xCurrent,1d0,hadron)&
+remnant*FPDFcurrent
!write(*,*) 'counter GK=',counter
else
convolutionPart=0d0
end if
!write(*,*) 'gluonMIXTUREPart =', gluonMIXTURE/x
!write(*,*) 'TDhat', (deltaPart+singularPart+regularPart)/x
Common_lowScale5=(deltaPart+convolutionPart)*(1d0/x)
end function Common_lowScale5
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu the GLUON INCLUDED
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,g,d,u,s, c ,b
!- The order is accumulative pertrubative order of coefficient =0,1,2 (LO,NLO,NNLO)
!---------------------------------------------------------------------
!!!---
!!! It calculates 1/x int_x^1 dz C[z] f[x/z],
!!! where f is given by xf, C is given by coeff. function.
!!!---
!---------------------------------------------------------------------
function Common_lowScale50(x,bT,hadron)
real(dp),dimension(-5:5)::Common_lowScale50
real(dp),intent(in) :: x, bT
integer,intent(in)::hadron
real(dp) :: alpha,alphaAt1
real(dp) :: Lmu,Nf,LmuAt1, NfAt1,dummy1,dummy2
real(dp),dimension(-5:5) :: deltaPart
real(dp),dimension(-5:5) :: convolutionPart
integer :: j
xCurrent=x
!! for extrimely small-values of b we freeze its value at b=10^{-6}.
if(bT>1d-6) then
bTcurrent=bT
else
bTcurrent=1d-6
end if
muCurrent=mu_OPE(x,bTcurrent,c4_global)
alpha=As(muCurrent)
Nf=real(activeNf(muCurrent),dp)
Lmu=LogMuB(muCurrent,bTcurrent)
!! in the x-dependent mu we should additionally calculate values at x=1
if(IsMuXdependent) then
!!! we first calculate at z=1
muAt1=mu_OPE(1d0,bTcurrent,c4_global)
LmuAt1=LogMuB(muAt1,bTcurrent)
alphaAt1=As(muAt1)
NfAt1=real(activeNf(muAt1),dp)
end if
!! boundary value of FNP*PDF
if(IsMuXdependent) then
Fcurrent=FNP(xCurrent,1d0,bTcurrent,hadron,lambdaNP)
PDFcurrent=xf(x,muAt1,hadron)!!!!!!!! This is important, since y enters definition of d via mu(y)
FPDFcurrent=Fcurrent*PDFcurrent
else
Fcurrent=FNP(xCurrent,1d0,bTcurrent,hadron,lambdaNP)
PDFcurrent=xf(x,muCurrent,hadron)
FPDFcurrent=Fcurrent*PDFcurrent
end if
!------------DELTA PART-------------------
!Leading order is always here!!
if(IsMuXdependent) then
deltaPart=FPDFcurrent*C_q_q_delta(alphaAt1,NfAt1,LmuAt1)
deltaPart(0)=FPDFcurrent(0)*C_g_g_delta(alphaAt1,NfAt1,LmuAt1)
else
deltaPart=FPDFcurrent*C_q_q_delta(alpha,Nf,Lmu)
deltaPart(0)=FPDFcurrent(0)*C_g_g_delta(alpha,Nf,Lmu)
end if
!!!!evaluate coefficients
if(order_global>=1) then
call Set_CoeffSing1_q_q(alpha,Nf,Lmu)
call Set_CoeffSing1_g_g(alpha,Nf,Lmu)
call Set_Coeff_q_q(alpha,Nf,Lmu)
call Set_Coeff_q_qb(alpha,Nf,Lmu)
call Set_Coeff_q_qp(alpha,Nf,Lmu)
call Set_Coeff_q_g(alpha,Nf,Lmu)
call Set_Coeff_g_g(alpha,Nf,Lmu)
call Set_Coeff_g_q(alpha,Nf,Lmu)
end if
if(order_global>=1) then
!!!! evaluating Mellin convolution
counter=1 !=1 since there was call in FPDFcurrent
!!! The crude estimation of the integral is its tree-value
!!! It is needed to weight the adaptive integration
integralWeight=ABS(FPDFcurrent)
do j=-5,5!!!this is needed since at low energies some of function =0.
if(ABS(2d0*integralWeight(j))<tolerance) integralWeight(j)=tolerance
end do
!!!! the integral over 1/(1-x)_+ has a remnant part ~delta(1-x)\int_0^x
!!!! these terms appears order-by-order,
!!!! since Log[1-x] can be large I compute it order-by-order to avoid dropping of precision (large number x 0d0)
!!! quark case
dummy1=CoeffSing1_q_q(1)*LOG(1d0-xCurrent) !!! remnant of 1/(1-x)_+
if(order_global>=2) dummy1=dummy1+CoeffSing1_q_q(2)*LOG(1d0-xCurrent)**2/2d0 !!! remnant of log[1-x]/(1-x)_+
if(order_global>=3) dummy1=dummy1+CoeffSing1_q_q(3)*LOG(1d0-xCurrent)**3/3d0 !!! remnant of Log[1-x]^2/(1-x)_+
!!! gluon case
dummy2=CoeffSing1_g_g(1)*LOG(1d0-xCurrent) !!! remnant of 1/(1-x)_+
if(order_global>=2) dummy2=dummy2+CoeffSing1_g_g(2)*LOG(1d0-xCurrent)**2/2d0 !!! remnant of log[1-x]/(1-x)_+
if(order_global>=3) dummy2=dummy2+CoeffSing1_g_g(3)*LOG(1d0-xCurrent)**3/3d0 !!! remnant of Log[1-x]^2/(1-x)_+
convolutionPart=MellinConvolutionVectorPart50(xCurrent,1d0,hadron)&
+(/dummy1,dummy1,dummy1,dummy1,dummy1,&
dummy2,dummy1,dummy1,dummy1,dummy1,dummy1/)*FPDFcurrent
! write(*,*) 'counter GK=',counter
else
convolutionPart=0d0
end if
!write(*,*) 'gluonMIXTUREPart =', gluonMIXTURE/x
!write(*,*) 'TDhat', (deltaPart+singularPart+regularPart)/x
Common_lowScale50=(deltaPart+convolutionPart)*(1d0/x)
end function Common_lowScale50
!!Gauss-Kronrod adaptive quadrature, with explicit evaluation at the end point (if converge slow)
!!!---
!!! It calculates int_x0^x1 dz C[z] f[x/z],
!!! where f[x/z] is given by function xf, C[z] is given by coeff.
!!!---
recursive function MellinConvolutionVectorPart5(x0,x1,hadron) result(res5)
integer,intent(in)::hadron
real(dp),dimension(-5:5)::res5,PDFs,value,eps,epspdf,vg7,vk15
real(dp) :: x0,x1,xm,xr,z,PDFsum,CqMain,CqAnti,CqPrime,CqGluon
integer :: j,i
real(dp),dimension(1:parametrizationLength):: var
real(dp):: alpha,Lmu,Nf,dummy
real(dp),dimension(-5:5)::F0
xm=0.5d0*(x1+x0)
xr=0.5d0*(x1-x0)
vg7=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
vk15=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
Do j=1,15
z=xm+xr*Xi_k15(j)
!!!!If mu(x) we have to recalculate Coefficeints every new x!!! This should be very loooong
if(IsMuXdependent) then
if(bTcurrent>1d-8) then
muCurrent=mu_OPE(z,bTcurrent,c4_global)
Lmu=LogMuB(muCurrent,bTcurrent)
else
muCurrent=mu_OPE(z,10d-8,c4_global)
Lmu=LogMuB(muCurrent,10d-8)
end if
alpha=As(muCurrent)
Nf=real(activeNf(muCurrent),dp)
call Set_CoeffSing1_q_q(alpha,Nf,Lmu)
call Set_Coeff_q_q(alpha,Nf,Lmu)
call Set_Coeff_q_qb(alpha,Nf,Lmu)
call Set_Coeff_q_qp(alpha,Nf,Lmu)
call Set_Coeff_q_g(alpha,Nf,Lmu)
end if
!!! PDFs are together with non-perp func!
PDFs=xf(xCurrent/z,muCurrent,hadron)
PDFsum=PDFs(-5)+PDFs(-4)+PDFs(-3)+PDFs(-2)+PDFs(-1)+PDFs(1)+PDFs(2)+PDFs(3)+PDFs(4)+PDFs(5)
counter=counter+1
var=parametrizationString(z)
!! summing regular part
CqMain=SUM(Coeff_q_q*var)
CqPrime=SUM(Coeff_q_qp*var)
CqAnti=SUM(Coeff_q_qb*var)
CqGluon=SUM(Coeff_q_g*var)
F0=FNP(xCurrent,z,bTcurrent,hadron,lambdaNP)
!!combingin with PDFs
value=F0*(/&
CqMain*PDFs(-5)+CqAnti*PDFs(5)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(-4)+CqAnti*PDFs(4)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(-3)+CqAnti*PDFs(3)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(-2)+CqAnti*PDFs(2)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(-1)+CqAnti*PDFs(1)+CqPrime*PDFsum+CqGluon*PDFs(0),&
0d0,&
CqMain*PDFs(1)+CqAnti*PDFs(-1)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(2)+CqAnti*PDFs(-2)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(3)+CqAnti*PDFs(-3)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(4)+CqAnti*PDFs(-4)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(5)+CqAnti*PDFs(-5)+CqPrime*PDFsum+CqGluon*PDFs(0)/)
!!adding ()_+ part
dummy=CoeffSing1_q_q(1)/(1d0-z)
if(order_global>=2) dummy=dummy+CoeffSing1_q_q(2)*LOG(1d0-z)/(1d0-z)
if(order_global>=3) dummy=dummy+CoeffSing1_q_q(3)*LOG(1d0-z)**2/(1d0-z)
value=value+dummy*(F0*PDFs-FPDFcurrent)
vg7=vg7+Wi_g7(j)*value
vk15=vk15+Wi_k15(j)*value
end do
!!!! check the convergance
eps=ABS(xr*(vg7-vk15)/integralWeight)
eps(0)=0d0
!write(*,*) x0,x1, eps
!!!! section for checking integral
if(MAXVAL(eps)>tolerance) then !!!integral not yet convergent
if(counter>maxIteration) then
!!!out of counting limit: rise warning, return current result
if(outputLevel>0) call Warning_Raise('Mellin convolution does not converge. Integral evaluation stop after '//&
numToStr(maxIteration)//' iterations.',messageCounter,messageTrigger,moduleName)
if(outputLevel>2) then
write(*,*) '----- information on last call -----'
write(*,*) 'x=',xCurrent,'b=',bTcurrent,'mu=',muCurrent
write(*,*) 'iteration=',counter, 'eps=',eps
write(*,*) 'weight=',integralWeight
end if
!stop
res5=xr*vk15
else
!!!! we are inside the counting limit
if(x1==1d0 .and. 1d0-x0<tolerance) then !!!!small distance to unity
!!!! in the case of the integration from x to 1, we check the convergance at 1
!!!! if the change of PDF*fNP is small enough we replace the integral, by the exact integral
if(IsMuXdependent) then
if(bTcurrent>1d-8) then
muCurrent=mu_OPE(x0,bTcurrent,c4_global)
else
muCurrent=mu_OPE(x0,1d-8,c4_global)
end if
end if
epspdf=ABS((FNP(xCurrent,x0,bTcurrent,hadron,lambdaNP)*xf(xCurrent/x0,muCurrent,hadron)-FPDFcurrent)/integralWeight)
epspdf(0)=0
counter=counter+1
!here we will add end point integration
!write(*,*) x0,x1, epspdf
if(MAXVAL(epspdf)<tolerance) then !!! variation is small
if(IsMuXdependent) then
if(bTcurrent>1d-8) then
muCurrent=mu_OPE(x0,bTcurrent,c4_global)
Lmu=LogMuB(muCurrent,bTcurrent)
else
muCurrent=mu_OPE(x0,1d-8,c4_global)
Lmu=LogMuB(muCurrent,1d-8)
end if
alpha=As(muCurrent)
Nf=real(activeNf(muCurrent),dp)
call Set_CoeffSing1_q_q(alpha,Nf,Lmu)
call Set_Coeff_q_q(alpha,Nf,Lmu)
call Set_Coeff_q_qb(alpha,Nf,Lmu)
call Set_Coeff_q_qp(alpha,Nf,Lmu)
call Set_Coeff_q_g(alpha,Nf,Lmu)
end if
!!!! integrate by usuming that the pdf is flat (+linear)
PDFs=(xf(xCurrent/x0,muCurrent,hadron)+PDFcurrent)/2d0
PDFsum=PDFs(-5)+PDFs(-4)+PDFs(-3)+PDFs(-2)+PDFs(-1)+PDFs(1)+PDFs(2)+PDFs(3)+PDFs(4)+PDFs(5)
counter=counter+1
!!!this is integral over vars from x0 to 1, last terms are <10^-7 for x0=1-10^-3
var=parametrizationStringAt1(x0)
!! summing regular part
CqMain=SUM(Coeff_q_q*var)
CqPrime=SUM(Coeff_q_qp*var)
CqAnti=SUM(Coeff_q_qb*var)
CqGluon=SUM(Coeff_q_g*var)
F0=FNP(xCurrent,x0,bTcurrent,hadron,lambdaNP)
!!combingin with PDFs
value=F0*(/&
CqMain*PDFs(-5)+CqAnti*PDFs(5)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(-4)+CqAnti*PDFs(4)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(-3)+CqAnti*PDFs(3)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(-2)+CqAnti*PDFs(2)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(-1)+CqAnti*PDFs(1)+CqPrime*PDFsum+CqGluon*PDFs(0),&
0d0,&
CqMain*PDFs(1)+CqAnti*PDFs(-1)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(2)+CqAnti*PDFs(-2)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(3)+CqAnti*PDFs(-3)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(4)+CqAnti*PDFs(-4)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(5)+CqAnti*PDFs(-5)+CqPrime*PDFsum+CqGluon*PDFs(0)/)
!!! AV: 25.06.22
!!! the (..)_+ part is tricky.
!!! I estimate int_x0^1 (f[xc/x]-f[xc])/(1-x)g[x] as (f[xc/x0]-f[xc])/(1-x0) int_x0^1 g[x]
!!! it follows from the expansion of f[xc/x] at x->1, and comparison to the expansion of f[xc/x0] at x0->1
!!! it is justified if x0->1, and f[xc] is smooth
dummy=CoeffSing1_q_q(1)
if(order_global>=2) dummy=dummy+CoeffSing1_q_q(2)*(LOG(1d0-x0)-1d0)
if(order_global>=3) dummy=dummy+CoeffSing1_q_q(3)*(LOG(1d0-x0)**2-2d0*LOG(1d0-x0)+2d0)
value=value+dummy*(F0*PDFs-FPDFcurrent)
res5=value
else
res5=MellinConvolutionVectorPart5(x0,xm,hadron)+MellinConvolutionVectorPart5(xm,x1,hadron)
end if
else
res5=MellinConvolutionVectorPart5(x0,xm,hadron)+MellinConvolutionVectorPart5(xm,x1,hadron)
end if
end if
else !!!integral converges
res5=xr*vk15
end if
end function MellinConvolutionVectorPart5
!!!Gauss-Kronrod adaptive quadrature, with explicit evaluation at the end point (if converge slow)
!!!---
!!! It calculates int_x0^x1 dz C[z] f[x/z],
!!! where f[x/z] is given by function xf, C[z] is given by coeff.
!!!---
recursive function MellinConvolutionVectorPart50(x0,x1,hadron) result(res5)
integer,intent(in)::hadron
real(dp),dimension(-5:5)::res5,PDFs,value,vg7,vk15,eps,epspdf,addV
real(dp) :: x0,x1,xm,xr,z,PDFsum,CqMain,CqAnti,CqPrime,CqGluon,CgMain,CgQuark
integer :: j,i
real(dp),dimension(1:parametrizationLength):: var
real(dp):: alpha,Lmu,Nf,dummy
real(dp),dimension(-5:5)::F0
xm=0.5d0*(x1+x0)
xr=0.5d0*(x1-x0)
vg7=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
vk15=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
Do j=1,15
z=xm+xr*Xi_k15(j)
!!!!If mu(z) we have to recalculate Coefficeints every new z!!! This should be very loooong
if(IsMuXdependent) then
if(bTcurrent>1d-8) then
muCurrent=mu_OPE(z,bTcurrent,c4_global)
Lmu=LogMuB(muCurrent,bTcurrent)
else
muCurrent=mu_OPE(z,10d-8,c4_global)
Lmu=LogMuB(muCurrent,10d-8)
end if
alpha=As(muCurrent)
Nf=real(activeNf(muCurrent),dp)
call Set_CoeffSing1_q_q(alpha,Nf,Lmu)
call Set_Coeff_q_q(alpha,Nf,Lmu)
call Set_Coeff_q_qb(alpha,Nf,Lmu)
call Set_Coeff_q_qp(alpha,Nf,Lmu)
call Set_Coeff_q_g(alpha,Nf,Lmu)
call Set_Coeff_g_q(alpha,Nf,Lmu)
call Set_Coeff_g_g(alpha,Nf,Lmu)
end if
!!! PDFs are together with non-perp func!
PDFs=xf(xCurrent/z,muCurrent,hadron)
PDFsum=PDFs(-5)+PDFs(-4)+PDFs(-3)+PDFs(-2)+PDFs(-1)+PDFs(1)+PDFs(2)+PDFs(3)+PDFs(4)+PDFs(5)
counter=counter+1
var=parametrizationString(z)
!! summing regular part
CqMain=SUM(Coeff_q_q*var)
CqPrime=SUM(Coeff_q_qp*var)
CqAnti=SUM(Coeff_q_qb*var)
CqGluon=SUM(Coeff_q_g*var)
CgMain=SUM(Coeff_g_g*var)
CgQuark=SUM(Coeff_g_q*var)
F0=FNP(xCurrent,z,bTcurrent,hadron,lambdaNP)
!!combingin with PDFs
value=F0*(/&
CqMain*PDFs(-5)+CqAnti*PDFs(5)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(-4)+CqAnti*PDFs(4)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(-3)+CqAnti*PDFs(3)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(-2)+CqAnti*PDFs(2)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(-1)+CqAnti*PDFs(1)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CgMain*PDFs(0)+CgQuark*PDFsum,&
CqMain*PDFs(1)+CqAnti*PDFs(-1)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(2)+CqAnti*PDFs(-2)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(3)+CqAnti*PDFs(-3)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(4)+CqAnti*PDFs(-4)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(5)+CqAnti*PDFs(-5)+CqPrime*PDFsum+CqGluon*PDFs(0)/)
!!adding ()_+ part
dummy=CoeffSing1_q_q(1)/(1d0-z)
if(order_global>=2) dummy=dummy+CoeffSing1_q_q(2)*LOG(1d0-z)/(1d0-z)
if(order_global>=3) dummy=dummy+CoeffSing1_q_q(3)*LOG(1d0-z)**2/(1d0-z)
addV=dummy*(F0*PDFs-FPDFcurrent)
dummy=CoeffSing1_g_g(1)/(1d0-z)
if(order_global>=2) dummy=dummy+CoeffSing1_g_g(2)*LOG(1d0-z)/(1d0-z)
if(order_global>=3) dummy=dummy+CoeffSing1_g_g(3)*LOG(1d0-z)**2/(1d0-z)
addV(0)=dummy*(F0(0)*PDFs(0)-FPDFcurrent(0))
value=value+addV
!write(*,*)CqMain,CqAnti,CqPrime,singCoeff,singCoeffLog
vg7=vg7+Wi_g7(j)*value
vk15=vk15+Wi_k15(j)*value
end do
eps=ABS(xr*(vg7-vk15)/integralWeight)
!write(*,*) x0,x1, eps(0), xr*vk15(0)
if(MAXVAL(eps)>tolerance) then
if(counter>maxIteration) then
if(outputLevel>0) call Warning_Raise('Mellin convolution does not converge. Integral evaluation stop after '//&
numToStr(maxIteration)//' iterations.',messageCounter,messageTrigger,moduleName)
if(outputLevel>1) then
write(*,*) '----- information on last call -----'
write(*,*) 'x=',xCurrent,'b=',bTcurrent,'mu=',muCurrent
write(*,*) 'iteration=',counter, 'eps=',eps
write(*,*) 'weight=',integralWeight
end if
res5=xr*vk15
else
if((1d0-x1)<1d-12 .and. (1d0-x0)<tolerance) then
!!!! in the case of the integration from x to 1, we check the convergance at 1
!!!! if the change of PDF*fNP is small enough we replace hte integral, by the exact integral
if(IsMuXdependent) then
if(bTcurrent>1d-8) then
muCurrent=mu_OPE(x0,bTcurrent,c4_global)
else
muCurrent=mu_OPE(x0,1d-8,c4_global)
end if
end if
epspdf=ABS((FNP(xCurrent,x0,bTcurrent,hadron,lambdaNP)*xf(xCurrent/x0,muCurrent,hadron)-FPDFcurrent)/integralWeight)
counter=counter+1
!here we will add end point integration
!write(*,*) "====",x0,x1, epspdf(0)
if(MAXVAL(epspdf)<tolerance) then !!! variation is small
if(IsMuXdependent) then
if(bTcurrent>1d-8) then
muCurrent=mu_OPE(x0,bTcurrent,c4_global)
Lmu=LogMuB(muCurrent,bTcurrent)
else
muCurrent=mu_OPE(x0,1d-8,c4_global)
Lmu=LogMuB(muCurrent,1d-8)
end if
alpha=As(muCurrent)
Nf=real(activeNf(muCurrent),dp)
call Set_CoeffSing1_q_q(alpha,Nf,Lmu)
call Set_Coeff_q_q(alpha,Nf,Lmu)
call Set_Coeff_q_qb(alpha,Nf,Lmu)
call Set_Coeff_q_qp(alpha,Nf,Lmu)
call Set_Coeff_q_g(alpha,Nf,Lmu)
call Set_Coeff_g_q(alpha,Nf,Lmu)
call Set_Coeff_g_g(alpha,Nf,Lmu)
end if
!!! I approximate function f(xC/z) by mean value f(xC/x0)-f(xC)
PDFs=(xf(xCurrent/x0,muCurrent,hadron)+PDFcurrent)/2d0
PDFsum=PDFs(-5)+PDFs(-4)+PDFs(-3)+PDFs(-2)+PDFs(-1)+PDFs(1)+PDFs(2)+PDFs(3)+PDFs(4)+PDFs(5)
counter=counter+1
!!!this is integral over vars from x0 to 1, last terms are <10^-7 for x0=1-10^-3
var=parametrizationStringAt1(x0)
!! summing regular part
CqMain=SUM(Coeff_q_q*var)
CqPrime=SUM(Coeff_q_qp*var)
CqAnti=SUM(Coeff_q_qb*var)
CqGluon=SUM(Coeff_q_g*var)
CgMain=SUM(Coeff_g_g*var)
CgQuark=SUM(Coeff_g_q*var)
F0=FNP(xCurrent,x0,bTcurrent,hadron,lambdaNP)
!!combingin with PDFs
value=F0*(/&
CqMain*PDFs(-5)+CqAnti*PDFs(5)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(-4)+CqAnti*PDFs(4)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(-3)+CqAnti*PDFs(3)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(-2)+CqAnti*PDFs(2)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(-1)+CqAnti*PDFs(1)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CgMain*PDFs(0)+CgQuark*PDFsum,&
CqMain*PDFs(1)+CqAnti*PDFs(-1)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(2)+CqAnti*PDFs(-2)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(3)+CqAnti*PDFs(-3)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(4)+CqAnti*PDFs(-4)+CqPrime*PDFsum+CqGluon*PDFs(0),&
CqMain*PDFs(5)+CqAnti*PDFs(-5)+CqPrime*PDFsum+CqGluon*PDFs(0)/)
!!! AV: 25.06.22
!!! the (..)_+ part is tricky.
!!! I estimate int_x0^1 (f[xc/x]-f[xc])/(1-x)g[x] as (f[xc/x0]-f[xc])/(1-x0) int_x0^1 g[x]
!!! it follows from the expansion of f[xc/x] at x->1, and comparison to the expansion of f[xc/x0] at x0->1
!!! it is justified if x0->1, and f[xc] is smooth
dummy=CoeffSing1_q_q(1)
if(order_global>=2) dummy=dummy+CoeffSing1_q_q(2)*(LOG(1d0-x0)-1d0)
if(order_global>=3) dummy=dummy+CoeffSing1_q_q(3)*(LOG(1d0-x0)**2-2d0*LOG(1d0-x0)+2d0)
addV=dummy*(F0*PDFs-FPDFcurrent)
dummy=CoeffSing1_g_g(1)
if(order_global>=2) dummy=dummy+CoeffSing1_g_g(2)*(LOG(1d0-x0)-1d0)
if(order_global>=3) dummy=dummy+CoeffSing1_g_g(3)*(LOG(1d0-x0)**2-2d0*LOG(1d0-x0)+2d0)
addV(0)=dummy*(F0(0)*PDFs(0)-FPDFcurrent(0))
value=value+addV
res5=value
else
res5=MellinConvolutionVectorPart50(x0,xm,hadron)+MellinConvolutionVectorPart50(xm,x1,hadron)
end if
else
res5=MellinConvolutionVectorPart50(x0,xm,hadron)+MellinConvolutionVectorPart50(xm,x1,hadron)
end if
end if
else
res5=xr*vk15
end if
end function MellinConvolutionVectorPart50
| 26,377 | 38.078519 | 134 | f90 |
artemide-public | artemide-public-master/src/Code/Twist3/Twist3Convolution-VAR.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 2.05
!
! This file contains the part of the code, which is common for all TMD-evaluation modules that operates at twist-3
! ONLY DECLARATION OF VARIABLES that are used in twist2Convolution
! It shares the variables with the module where it is inlucded (as a text)
! Such idiotic structure is needed since, FORTRAN does not allow inheritance.
!
! Be AWARE of possible clash of variable names.
!
! SO FAR THERE IS NO TWIST-3 CONVOLUTION IMPLEMENTATION
!
! A.Vladimirov (21.05.2020)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
| 674 | 44 | 114 | f90 |
artemide-public | artemide-public-master/src/Code/Twist3/Twist3Convolution.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! arTeMiDe 2.05
!
! This file contains the part of the code, which is common for all TMD-evaluation modules that operates at twist-2
! It shares the variables with the module where it is inlucded (as a text)
! Such idiotic structure is needed since, FORTRAN does not allow inheritance.
!
! Be AWARE of possible clash of variable names.
!
! SO FAR THERE IS NO TWIST-3 CONVOLUTION IMPLEMENTATION
!
! A.Vladimirov (21.05.2020)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Supplimentary functions !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!Evaluate Log[mu^2 bT^2/4/Exp(-2Gamma_E)]
!! the b here is b*, this funciton is used only in Coefficeint functions
function LogMuB(mu,bT)
real(dp)::LogMuB
real(dp),intent(in)::bT,mu
LogMuB=2d0*Log(bSTAR(bT,lambdaNP)*mu*C0_inv_const)
end function LogMuB
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Convolutions!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,g,d,u,s, c ,b
!!---Gluon contribution is undefined
!- The order is accumulative pertrubative order of coefficient =0,1,2 (LO,NLO,NNLO)
!---------------------------------------------------------------------
function Common_lowScale5(x,bT,hadron)
real(dp),dimension(-5:5)::Common_lowScale5
real(dp),intent(in) :: x, bT
integer,intent(in)::hadron
!!!!SO FAR THERE IS NO TWIST-3 CONVOLUTION IMPLEMENTATION
Common_lowScale5=FNP(x,bT,hadron,lambdaNP)
end function Common_lowScale5
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu the GLUON INCLUDED
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,g,d,u,s, c ,b
!- The order is accumulative pertrubative order of coefficient =0,1,2 (LO,NLO,NNLO)
!---------------------------------------------------------------------
function Common_lowScale50(x,bT,hadron)
real(dp),dimension(-5:5)::Common_lowScale50
real(dp),intent(in) :: x, bT
integer,intent(in)::hadron
!!!!SO FAR THERE IS NO TWIST-3 CONVOLUTION IMPLEMENTATION
Common_lowScale50=FNP(x,bT,hadron,lambdaNP)
end function Common_lowScale50
| 3,180 | 48.703125 | 134 | f90 |
artemide-public | artemide-public-master/src/Code/aTMDe_setup/const-modification.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of aTMDe_setup module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Routines for modification of constants-file-------------------------------
!!!-------------------------------------------------------------------------------------------------------
!-------------------------------------------------------CHANGE INITILIZATION PARAMETERS-------------------------------------
subroutine Set_outputLevel(level,numMessages)
integer,intent(in)::level
integer,optional,intent(in)::numMessages
outputLevel=level
if(present(numMessages)) messageTrigger=numMessages
end subroutine Set_outputLevel
subroutine artemide_include(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10)
character(len=*),optional::a1,a2,a3,a4,a5,a6,a7,a8,a9,a10
if(present(a1)) call SwitchModule(a1)
if(present(a2)) call SwitchModule(a2)
if(present(a3)) call SwitchModule(a3)
if(present(a4)) call SwitchModule(a4)
if(present(a5)) call SwitchModule(a5)
if(present(a6)) call SwitchModule(a6)
if(present(a7)) call SwitchModule(a7)
if(present(a8)) call SwitchModule(a8)
if(present(a9)) call SwitchModule(a9)
if(present(a10)) call SwitchModule(a10)
end subroutine artemide_include
subroutine SwitchModule(name)
character(len=*)::name
select case(trim(name))
case('QCDinput')
if(outputLevel>1) write(*,*) 'artemide_setup: Module QCDinput is included by default'
case('EWinput')
include_EWinput=.true.
if(outputLevel>1) write(*,*) 'artemide_setup: Module EWinput is included'
case('uTMDPDF')
include_uTMDPDF=.true.
if(outputLevel>1) write(*,*) 'artemide_setup: Module uTMDPDF is included'
case('uTMDFF')
include_uTMDFF=.true.
if(outputLevel>1) write(*,*) 'artemide_setup: Module uTMDFF is included'
case('lpTMDPDF')
include_lpTMDPDF=.true.
if(outputLevel>1) write(*,*) 'artemide_setup: Module lpTMDPDF is included'
case('SiversTMDPDF')
include_SiversTMDPDF=.true.
if(outputLevel>1) write(*,*) 'artemide_setup: Module SiversTMDPDF is included'
case('TMDR')
include_TMDR=.true.
if(outputLevel>1) write(*,*) 'artemide_setup: Module TMDR is included'
case('TMDs')
include_TMDs=.true.
if(outputLevel>1) write(*,*) 'artemide_setup: Module TMDs is included'
case('TMDF')
include_TMDF=.true.
if(outputLevel>1) write(*,*) 'artemide_setup: Module TMDF is included'
case('TMDs_inKT')
include_TMDs_inKT=.true.
if(outputLevel>1) write(*,*) 'artemide_setup: Module TMDs_inKT is included'
case('TMDX_DY')
include_TMDX_DY=.true.
if(outputLevel>1) write(*,*) 'artemide_setup: Module TMDX_DY is included'
case('TMDX_SIDIS')
include_TMDX_SIDIS=.true.
if(outputLevel>1) write(*,*) 'artemide_setup: Module TMDX_SIDIS is included'
end select
end subroutine SwitchModule
!!! Adds a uPDF to initialization list
subroutine Set_uPDF(hadron,setName,replica)
integer,intent(in)::hadron
character(len=*),intent(in)::setName
integer,intent(in),optional::replica
integer::pos,i
integer,allocatable::enum_old(:),rep_old(:)
character(len=100),allocatable::sets_old(:)
!!! If there is no hadron so far in the list, we make it new
if(number_of_uPDFs==0) then
if(outputLevel>2) write(*,"('artemide_setup: uPDF initialization list is made')")
number_of_uPDFs=1
pos=1 !!! by default all allocated with single element, we have to just rewrite it.
else if(ANY(enumeration_of_uPDFs.eq.hadron)) then!!!! hadron already in the grid. We ust redefine it
if(outputLevel>2) write(*,"('artemide_setup: uPDF for hadron',I3,' is redefined')") hadron
do i=1,number_of_uPDFs
if(enumeration_of_uPDFs(i)==hadron) exit
end do
pos=i
else !!!! this hadron is NEW
if(outputLevel>2) write(*,"('artemide_setup: uPDF for hadron',I3,' is added')") hadron
!!save old arrays
allocate(enum_old(1:number_of_uPDFs))
allocate(rep_old(1:number_of_uPDFs))
allocate(sets_old(1:number_of_uPDFs))
do i=1,number_of_uPDFs
enum_old(i)=enumeration_of_uPDFs(i)
rep_old(i)=replicas_of_uPDFs(i)
sets_old(i)=sets_of_uPDFs(i)
end do
!! reallocating arrays
deallocate(enumeration_of_uPDFs,replicas_of_uPDFs,sets_of_uPDFs)
number_of_uPDFs=number_of_uPDFs+1
allocate(enumeration_of_uPDFs(1:number_of_uPDFs))
allocate(replicas_of_uPDFs(1:number_of_uPDFs))
allocate(sets_of_uPDFs(1:number_of_uPDFs))
!! copy information
do i=1,number_of_uPDFs-1
enumeration_of_uPDFs(i)=enum_old(i)
replicas_of_uPDFs(i)=rep_old(i)
sets_of_uPDFs(i)=sets_old(i)
end do
pos=number_of_uPDFs
deallocate(enum_old,sets_old,rep_old)
end if
enumeration_of_uPDFs(pos)=hadron
sets_of_uPDFs(pos)=trim(setName)
if(present(replica)) then
replicas_of_uPDFs(pos)=replica
else
replicas_of_uPDFs(pos)=0
end if
if(outputLevel>1) write(*,"('artemide_setup: uPDF ',A,' for hadron ',I3,' added to initializaton list')") trim(setName),hadron
end subroutine Set_uPDF
!!! Adds a uFF to initialization list
subroutine Set_uFF(hadron,setName,replica)
integer,intent(in)::hadron
character(len=*),intent(in)::setName
integer,intent(in),optional::replica
integer::pos,i
integer,allocatable::enum_old(:),rep_old(:)
character(len=100),allocatable::sets_old(:)
!!! If there is no hadron so far in the list, we make it new
if(number_of_uFFs==0) then
if(outputLevel>2) write(*,"('artemide_setup: uFF initialization list is made')")
number_of_uFFs=1
pos=1 !!! by default all allocated with single element, we have to just rewrite it.
else if(ANY(enumeration_of_uFFs.eq.hadron)) then!!!! hadron already in the grid. We ust redefine it
if(outputLevel>2) write(*,"('artemide_setup: uFF for hadron',I3,' is redefined')") hadron
do i=1,number_of_uFFs
if(enumeration_of_uFFs(i)==hadron) exit
end do
pos=i
else !!!! this hadron is NEW
if(outputLevel>2) write(*,"('artemide_setup: uFF for hadron',I3,' is added')") hadron
!!save old arrays
allocate(enum_old(1:number_of_uFFs))
allocate(rep_old(1:number_of_uFFs))
allocate(sets_old(1:number_of_uFFs))
do i=1,number_of_uFFs
enum_old(i)=enumeration_of_uFFs(i)
rep_old(i)=replicas_of_uFFs(i)
sets_old(i)=sets_of_uFFs(i)
end do
!! reallocating arrays
deallocate(enumeration_of_uFFs,replicas_of_uFFs,sets_of_uFFs)
number_of_uFFs=number_of_uFFs+1
allocate(enumeration_of_uFFs(1:number_of_uFFs))
allocate(replicas_of_uFFs(1:number_of_uFFs))
allocate(sets_of_uFFs(1:number_of_uFFs))
!! copy information
do i=1,number_of_uFFs-1
enumeration_of_uFFs(i)=enum_old(i)
replicas_of_uFFs(i)=rep_old(i)
sets_of_uFFs(i)=sets_old(i)
end do
pos=number_of_uFFs
deallocate(enum_old,sets_old,rep_old)
end if
enumeration_of_uFFs(pos)=hadron
sets_of_uFFs(pos)=trim(setName)
if(present(replica)) then
replicas_of_uFFs(pos)=replica
else
replicas_of_uFFs(pos)=0
end if
if(outputLevel>1) write(*,"('artemide_setup: uFF ',A,' for hadron ',I3,' added to initializaton list')") trim(setName),hadron
end subroutine Set_uFF
!!! Adds a uPDF to initialization list
subroutine Set_lpPDF(hadron,setName,replica)
integer,intent(in)::hadron
character(len=*),intent(in)::setName
integer,intent(in),optional::replica
integer::pos,i
integer,allocatable::enum_old(:),rep_old(:)
character(len=100),allocatable::sets_old(:)
!!! If there is no hadron so far in the list, we make it new
if(number_of_lpPDFs==0) then
if(outputLevel>2) write(*,"('artemide_setup: lpPDF initialization list is made')")
number_of_lpPDFs=1
pos=1 !!! by default all allocated with single element, we have to just rewrite it.
else if(ANY(enumeration_of_lpPDFs.eq.hadron)) then!!!! hadron already in the grid. We ust redefine it
if(outputLevel>2) write(*,"('artemide_setup: lpPDF for hadron',I3,' is redefined')") hadron
do i=1,number_of_lpPDFs
if(enumeration_of_lpPDFs(i)==hadron) exit
end do
pos=i
else !!!! this hadron is NEW
if(outputLevel>2) write(*,"('artemide_setup: lpPDF for hadron',I3,' is added')") hadron
!!save old arrays
allocate(enum_old(1:number_of_lpPDFs))
allocate(rep_old(1:number_of_lpPDFs))
allocate(sets_old(1:number_of_lpPDFs))
do i=1,number_of_lpPDFs
enum_old(i)=enumeration_of_lpPDFs(i)
rep_old(i)=replicas_of_lpPDFs(i)
sets_old(i)=sets_of_lpPDFs(i)
end do
!! reallocating arrays
deallocate(enumeration_of_lpPDFs,replicas_of_lpPDFs,sets_of_lpPDFs)
number_of_lpPDFs=number_of_lpPDFs+1
allocate(enumeration_of_lpPDFs(1:number_of_lpPDFs))
allocate(replicas_of_lpPDFs(1:number_of_lpPDFs))
allocate(sets_of_lpPDFs(1:number_of_lpPDFs))
!! copy information
do i=1,number_of_lpPDFs-1
enumeration_of_lpPDFs(i)=enum_old(i)
replicas_of_lpPDFs(i)=rep_old(i)
sets_of_lpPDFs(i)=sets_old(i)
end do
pos=number_of_lpPDFs
deallocate(enum_old,sets_old,rep_old)
end if
enumeration_of_lpPDFs(pos)=hadron
sets_of_lpPDFs(pos)=trim(setName)
if(present(replica)) then
replicas_of_lpPDFs(pos)=replica
else
replicas_of_lpPDFs(pos)=0
end if
if(outputLevel>1) write(*,"('artemide_setup: lpPDF ',A,' for hadron ',I3,' added to initializaton list')") trim(setName),hadron
end subroutine Set_lpPDF
subroutine Set_quarkMasses(mC,mB,mT)
real,optional::mC,mB,mT
if(present(mC)) mCHARM=mC
if(present(mB)) mBOTTOM=mB
if(present(mT)) mTOP=mT
if(outputLevel>1) write(*,"('artemide_setup: quark masses reset (mCHARM,mBOTTOM,mTOP)=(',F6.3,',',F6.3,',',F6.3,')')")&
mCHARM,mBOTTOM,mTOP
end subroutine Set_quarkMasses
subroutine Set_EWparameters(alphaInv,massZ,massW,widthZ,widthW,massH,widthH,vevHIGGS,sin2ThetaW,UD,US,UB,CD,CS,CB)
real(dp),optional::alphaInv,massZ,massW,widthZ,widthW,sin2ThetaW,UD,US,UB,CD,CS,CB,massH,widthH,vevHIGGS
if(present(alphaInv)) alphaQED_MZ=alphaInv
if(present(massZ)) MZ=massZ
if(present(massW)) MW=massW
if(present(massH)) MH=massH
if(present(widthZ)) GammaZ=widthZ
if(present(widthW)) GammaW=widthW
if(present(widthH)) GammaH=widthH
if(present(vevHIGGS)) vevH=vevHIGGS
if(present(sin2ThetaW)) sW2=sin2ThetaW
if(present(UD)) Vckm_UD=UD
if(present(US)) Vckm_US=US
if(present(UB)) Vckm_UB=UB
if(present(CD)) Vckm_CD=CD
if(present(CS)) Vckm_CS=CS
if(present(CB)) Vckm_CB=CB
if(outputLevel>1) write(*,"('artemide_setup: EW parameters reset')")
end subroutine Set_EWparameters
!-------------------------
subroutine Set_TMDR_order(order)
character(len=*)::order
if(len(order)<8) then
TMDR_order=trim(order)
else
TMDR_order=trim(order(1:8))
end if
if(outputLevel>1) write(*,"('artemide_setup: TMDR order is changed to ',A)") TMDR_order
end subroutine Set_TMDR_order
subroutine Set_TMDR_evolutionType(num)
integer,intent(in)::num
if(num<=0 .or. num>4) then
write(*,"(A,I3)") WarningString('Set_TMDR_evolutionType, type must be =1,2,3,4 but not',moduleName), TMDR_evolutionType
TMDR_evolutionType=4
else
TMDR_evolutionType=num
end if
if(outputLevel>1) write(*,"('artemide_setup: TMDR evolution type is changed to ',I3)") TMDR_evolutionType
end subroutine Set_TMDR_evolutionType
subroutine Set_TMDR_lengthNParray(num)
integer,intent(in)::num
TMDR_lambdaLength=num
if(outputLevel>1) write(*,"('artemide_setup: TMDR length of NP array is set to ',I3)") TMDR_lambdaLength
end subroutine Set_TMDR_lengthNParray
!-------------------------
subroutine Set_uTMDPDF(hadron,setName,replica)
integer,intent(in)::hadron
character(len=*),intent(in)::setName
integer,intent(in),optional::replica
if(.not.include_uTMDPDF) then
include_uTMDPDF=.true.
if(outputLevel>1) write(*,"('artemide_setup: uTMDPDF module included into initialisaion list')")
end if
if(outputLevel>1) write(*,"('artemide_setup: uTMDPDF ',A,' for hadron ',I3,' added to grid list')") trim(setName),hadron
call Set_uPDF(hadron,setName,replica)
end subroutine Set_uTMDPDF
subroutine Set_uTMDPDF_order(order)
character(len=*)::order
if(len(order)<8) then
uTMDPDF_order=trim(order)
else
uTMDPDF_order=trim(order(1:8))
end if
if(outputLevel>1) write(*,"('artemide_setup: uTMDPDF order is changed to ',A)") uTMDPDF_order
end subroutine Set_uTMDPDF_order
subroutine Set_uTMDPDF_gridEvaluation(prepareGrid,includeGluon)
logical::prepareGrid
logical,optional::includeGluon
uTMDPDF_makeGrid=prepareGrid
if(present(includeGluon)) uTMDPDF_withGluon=includeGluon
if(outputLevel>1) write(*,"('artemide_setup: uTMDPDF grid evaluation is changed to (',L2,',',L2,')')") prepareGrid,includeGluon
end subroutine Set_uTMDPDF_gridEvaluation
subroutine Set_uTMDPDF_lengthNParray(num)
integer,intent(in)::num
uTMDPDF_lambdaLength=num
if(outputLevel>1) write(*,"('artemide_setup: uTMDPDF length of NP array is set to ',I3)") uTMDPDF_lambdaLength
end subroutine Set_uTMDPDF_lengthNParray
!-------------------------
subroutine Set_uTMDFF(hadron,setName,replica)
integer,intent(in)::hadron
character(len=*),intent(in)::setName
integer,intent(in),optional::replica
if(.not.include_uTMDFF) then
include_uTMDFF=.true.
if(outputLevel>1) write(*,"('artemide_setup: uTMDFF module included into initialisaion list')")
end if
if(outputLevel>1) write(*,"('artemide_setup: uTMDFF ',A,' for hadron ',I3,' added to grid list')") trim(setName),hadron
call Set_uFF(hadron,setName,replica)
end subroutine Set_uTMDFF
subroutine Set_uTMDFF_order(order)
character(len=*)::order
if(len(order)<8) then
uTMDFF_order=trim(order)
else
uTMDFF_order=trim(order(1:8))
end if
if(outputLevel>1) write(*,"('artemide_setup: uTMDFF order is changed to ',A)") uTMDFF_order
end subroutine Set_uTMDFF_order
subroutine Set_uTMDFF_gridEvaluation(prepareGrid,includeGluon)
logical::prepareGrid
logical,optional::includeGluon
uTMDFF_makeGrid=prepareGrid
if(present(includeGluon)) uTMDFF_withGluon=includeGluon
if(outputLevel>1) write(*,"('artemide_setup: uTMDFF grid evaluation is changed to (',L2,',',L2,')')") prepareGrid,includeGluon
end subroutine Set_uTMDFF_gridEvaluation
subroutine Set_uTMDFF_lengthNParray(num)
integer,intent(in)::num
uTMDFF_lambdaLength=num
if(outputLevel>1) write(*,"('artemide_setup: uTMDFF length of NP array is set to ',I3)") uTMDFF_lambdaLength
end subroutine Set_uTMDFF_lengthNParray
!-------------------------
subroutine Set_lpTMDPDF(hadron,setName,replica)
integer,intent(in)::hadron
character(len=*),intent(in)::setName
integer,intent(in),optional::replica
if(.not.include_lpTMDPDF) then
include_lpTMDPDF=.true.
if(outputLevel>1) write(*,"('artemide_setup: lpTMDPDF module included into initialisaion list')")
end if
if(outputLevel>1) write(*,"('artemide_setup: lpTMDPDF ',A,' for hadron ',I3,' added to grid list')") trim(setName),hadron
call Set_uPDF(hadron,setName,replica)
end subroutine Set_lpTMDPDF
subroutine Set_lpTMDPDF_order(order)
character(len=*)::order
if(len(order)<8) then
lpTMDPDF_order=trim(order)
else
lpTMDPDF_order=trim(order(1:8))
end if
if(outputLevel>1) write(*,"('artemide_setup: lpTMDPDF order is changed to ',A)") lpTMDPDF_order
end subroutine Set_lpTMDPDF_order
subroutine Set_lpTMDPDF_gridEvaluation(prepareGrid,includeGluon)
logical::prepareGrid
logical,optional::includeGluon
lpTMDPDF_makeGrid=prepareGrid
if(present(includeGluon)) lpTMDPDF_withGluon=includeGluon
if(outputLevel>1) write(*,"('artemide_setup: lpTMDPDF grid evaluation is changed to (',L2,',',L2,')')") prepareGrid,includeGluon
end subroutine Set_lpTMDPDF_gridEvaluation
subroutine Set_lpTMDPDF_lengthNParray(num)
integer::num
lpTMDPDF_lambdaLength=num
if(outputLevel>1) write(*,"('artemide_setup: lpTMDPDF length of NP array is set to ',I3)") lpTMDPDF_lambdaLength
end subroutine Set_lpTMDPDF_lengthNParray
| 17,378 | 34.612705 | 132 | f90 |
artemide-public | artemide-public-master/src/Code/lpTMDPDF/coeffFunc.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of lpTMDPDF module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Routines for the mathing coefficient--------------------------------------
!!!--------------The order is accumulative pertrubative order of coefficient =0,1,2 (LO,NLO,NNLO)---------
!!!-------------------------------------------------------------------------------------------------------
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!COEFFICIENT FUNCTIONS!!
!!! the function which contains the functions of parameterizations
function parametrizationString(z)
real(dp)::z,lz,llz,zz
real(dp),dimension(1:parametrizationLength)::parametrizationString
zz=1d0-z
lz=Log(z)
llz=Log(zz)
parametrizationString=(/&
1d0/z,lz/z,&
lz,lz**2,&
1d0,zz,z*zz,&
zz*llz/z,&
z*lz,z**2*lz,&
zz*llz,zz**2*llz,&
lz**2*llz,lz*llz**2/)
end function parametrizationString
!!! the function which contains
!!! int_z^1 parameterization at values of z -> 1
!!! it is used to estimate integration error at z~1
function parametrizationStringAt1(z)
real(dp)::z
real(dp),dimension(1:parametrizationLength)::parametrizationStringAt1
parametrizationStringAt1=(/1d0-z, 0d0,0d0,0d0,1d0-z,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
end function parametrizationStringAt1
!!!!Each coefficient is split to delta, sing x->1, regular
!!!!!coefficient function q<-q delta-part
!!!! NO QUARK HERE!
function C_q_q_delta(alpha,Nf,Lmu)
real(dp)::C_q_q_delta,Nf,alpha,Lmu
C_q_q_delta=0d0
end function C_q_q_delta
!!!!!coefficient function g<-g delta-part
!!!! NO DELTA-function!
function C_g_g_delta(alpha,Nf,Lmu)
real(dp)::C_g_g_delta,Nf,alpha,Lmu
C_g_g_delta=0d0
end function C_g_g_delta
!!!!!coefficient function q<-q singular-part (1/(1-x)_+,(Log(1-x)/(1-x))_+)
!!!! NO QUARK HERE!
subroutine Set_CoeffSing1_q_q(alpha,Nf,Lmu)
real(dp)::Nf,alpha,LLambda,Lmu
CoeffSing1_q_q=(/0d0,0d0,0d0/)
end subroutine Set_CoeffSing1_q_q
!!!!!coefficient function g<-g singular-part (1/(1-x)_+,(Log(1-x)/(1-x))_+)
!!!! NO SINGULAR PART HERE!
subroutine Set_CoeffSing1_g_g(alpha,Nf,Lmu)
real(dp)::Nf,alpha,Lmu
CoeffSing1_g_g=(/0d0,0d0,0d0/)
end subroutine Set_CoeffSing1_g_g
!!!!!coefficient function q<-q regular-part
!!!! NO QUARK HERE!
subroutine Set_Coeff_q_q(alpha,Nf,Lmu)
real(dp)::alpha,Nf,Lmu
Coeff_q_q=(/0d0, 0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
end subroutine Set_Coeff_q_q
!!!!!coefficient function q<-g regular-part
!!!! NO QUARK HERE!
subroutine Set_Coeff_q_g(alpha,Nf,Lmu)
real(dp)::alpha,Nf,Lmu
!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_q_g=(/0d0, 0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
end subroutine Set_Coeff_q_g
!!!!!coefficient function g<-q regular-part
subroutine Set_Coeff_g_q(alpha,Nf,Lmu)
real(dp)::alpha,Nf,Lmu
!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_g_q=(/0d0, 0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
if(order_global>=1) then
Coeff_g_q=Coeff_g_q+alpha*(/&
-16d0/3d0,0d0,& !1/x, log[x]/x
0d0,0d0,& !log[x], log[x]^2
16d0/3d0,0d0,0d0,& !1 ,1-x, x(1-x)
0d0,& !(1-x)log[1-x]/x
0d0,0d0,& !xlog[x], x^2 log[x]
0d0,0d0,& !(1-x)Log[1-x],(1-x)^2Log[1-x]
0d0,0d0/) !log[1-x]Log[x]^2,log[1-x]^2log[x]
!------The kernels are calculated in mathematica
if(order_global>=2) then
Coeff_g_q=Coeff_g_q+alpha*alpha*(/&
352d0/9d0+128d0/27d0*Nf+Lmu*(32d0/9d0*Nf-512d0/3d0)+80d0*zeta2-128d0*zeta3,& !1/x,
64d0*(1d0-Lmu),& ! log[x]/x
1120d0/9d0-448d0/9d0*Lmu,& !log[x]
-224d0/9d0,& !log[x]^2
-352d0/9d0-128d0/27d0*Nf+Lmu*(-32d0/9d0*Nf+512d0/3d0)-80d0*zeta2+128d0*zeta3,& !1
96.93661014992554d0 - 80d0*Lmu/9d0,& !1-x
-12.03616313305288d0, & !x(1-x)
-70.94828373998075d0+256d0*Lmu/9d0 + 64d0*Nf/9d0,& !(1-x)log[1-x]/x
66.13401288059151d0, -4.368597177618905d0,& !xlog[x], x^2 log[x]
29.77672764648373d0, -7.277284712894577d0,& !(1-x)Log[1-x],(1-x)^2Log[1-x]
-0.21013073998329043d0, 17.922444586392995d0/) !log[1-x]Log[x]^2,log[1-x]^2log[x]
end if
end if
end subroutine Set_Coeff_g_q
!!!!!coefficient function g<-g regular-part
subroutine Set_Coeff_g_g(alpha,Nf,Lmu)
real(dp)::alpha,Nf,Lmu
!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_g_g=(/0d0, 0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
if(order_global>=1) then
Coeff_g_g=Coeff_g_g+alpha*(/&
-12d0,0d0,& !1/x, log[x]/x
0d0,0d0,& !log[x], log[x]^2
12d0,0d0,0d0,& !1 ,1-x, x(1-x)
0d0,& !(1-x)log[1-x]/x
0d0,0d0,& !xlog[x], x^2 log[x]
0d0,0d0,& !(1-x)Log[1-x],(1-x)^2Log[1-x]
0d0,0d0/) !log[1-x]Log[x]^2,log[1-x]^2log[x]
!------The kernels are calculated in mathematica
if(order_global>=2) then
Coeff_g_g=Coeff_g_g+alpha*alpha*(/&
220d0+12d0*Nf+Lmu*(64d0/9d0*Nf-408d0)+180d0*zeta2-288d0*zeta3,& !1/x,
144d0*(1d0-Lmu),& ! log[x]/x
228d0+8d0*Nf+Lmu*(32d0/3d0*Nf-144d0),& !log[x]
-72d0+16d0*Nf/3d0,& !log[x]^2
-208d0-16d0*Nf+Lmu*(-64d0/9d0*Nf+408d0)-180d0*zeta2+288d0*zeta3,& !1
-1069d0/4d0+80d0/3d0*Nf+Lmu*(64d0/9d0*Nf-48d0)+288d0*zeta2,& !1-x
-28d0/3d0*Nf+Lmu*(-32d0/9d0*Nf+24d0)-47.26606760498457d0, & !x(1-x)
-0.04368111639126644d0+144d0*Lmu,& !(1-x)log[1-x]/x
143.74118698578818d0, -3.936195409223967d0,& !xlog[x], x^2 log[x]
18.440046947186577d0, -31.890749138002473d0,& !(1-x)Log[1-x],(1-x)^2Log[1-x]
1.080993168990866d0, -1.8412301915911546d0/) !log[1-x]Log[x]^2,log[1-x]^2log[x]
end if
end if
end subroutine Set_Coeff_g_g
!!!!!coefficient function q<-qb regular-part
!!!! NO QUARK HERE!
subroutine Set_Coeff_q_qb(alpha,Nf,Lmu)
real(dp)::alpha,Nf,Lmu
!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_q_qb=(/0d0, 0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
end subroutine Set_Coeff_q_qb
!!!!!coefficient function q<-qp regular-part
!!!! NO QUARK HERE!
subroutine Set_Coeff_q_qp(alpha,Nf,Lmu)
real(dp)::alpha,Nf,Lmu
!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_q_qp=(/0d0, 0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
end subroutine Set_Coeff_q_qp
!!! This function has been used during debuging
subroutine CheckCoefficient(as,Nf,Lmu,z)
real(dp)::Lmu,as,z,Nf
real(dp), dimension(1:parametrizationLength)::func
real(dp), dimension(1:3)::func1
func=parametrizationString(z)
func1=(/1d0/(1d0-z),Log(1d0-z)/(1d0-z),Log(1d0-z)/(1d0-z)/)
!!Q->Q
! call Set_CoeffSing1_q_q(as,Nf,Lmu)
! call Set_Coeff_q_q(as,Nf,Lmu)
! write(*,*) SUM(Coeff_q_q*func)+SUM(CoeffSing1_q_q*func1)
! !!Q->G
! call Set_Coeff_q_g(as,Nf,Lmu)
! write(*,*) SUM(Coeff_q_g*func)
! !!Q->Q'
! call Set_Coeff_q_qp(as,Nf,Lmu)
! write(*,*) SUM(Coeff_q_qp*func)
!!Q->Qbar
! call Set_Coeff_q_qb(as,Nf,Lmu)
! write(*,*) SUM(Coeff_q_qb*func)
! !! G->Q
! call Set_Coeff_g_q(as,Nf,Lmu)
! write(*,*) SUM(Coeff_g_q*func)
! !!G->G
call Set_CoeffSing1_g_g(as,Nf,Lmu)
call Set_Coeff_g_g(as,Nf,Lmu)
!
! write(*,*) Coeff_g_g
! write(*,*) '---------'
! write(*,*) func
write(*,*) SUM(Coeff_g_g*func)+SUM(CoeffSing1_g_g*func1)
end subroutine CheckCoefficient
| 7,996 | 34.074561 | 106 | f90 |
artemide-public | artemide-public-master/src/Code/lpTMDPDF/convolutions.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of uTMDPDF module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Routines for evaluation of TMD distributions------------------------------
!!!-------------------------the actual calculation takes a place in twist2 code---------------------------
!!!-------------------------------------------------------------------------------------------------------
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Convolutions!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!-------------------------------------------------
!!!!array of x times PDF(x,Q) for hadron 'hadron'
!!!! array is (-5:5) (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function xf(x,Q,hadron)
real(dp) :: x,Q
integer:: hadron
real(dp), dimension(-5:5):: xf
xf=x_lp_PDF(x,Q,hadron)
end function xf
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Convolutions!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------NO SUCH FUNCTION IN HERE
! function lpTMDPDF_base5(x,bT,hadron)
! real(dp),dimension(-5:5)::lpTMDPDF_base5
! real(dp) :: x, bT
! integer::hadron
!
! lpTMDPDF_base5=0d0
!
! end function lpTMDPDF_base5
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu the GLUON INCLUDED
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,g,d,u,s, c ,b
!- The order is accumulative pertrubative order of coefficient =0,1,2 (LO,NLO,NNLO)
!!---Base version: hadron=number of PDF
!---------------------------------------------------------------------
!---------------------------------------------------------------------
function lpTMDPDF_base50(x,bT,hadron)
real(dp),dimension(-5:5)::lpTMDPDF_base50
real(dp) :: x, bT
integer::hadron
!!! variables for restoration only
real(dp),dimension(-5:5) :: fNP_grid,fNP_current
integer::j
!!!! if the coefficient function is not used at all. Just return fNP
if(order_global==-50) then
lpTMDPDF_base50=fNP(x,1d0,bT,hadron,lambdaNP)
!!! in the case the greed has been calculated
else if(gridReady .and. ANY(hadronsInGRID.eq.hadron)) then
lpTMDPDF_base50=ExtractFromGrid(x,bT,hadron)
!!!!!!!!!!This is procedure of restoration of function from the initial grid
!!! if fNP is x-independent then the value can be obtained by TMDPDF(initial) fNP(current)/fNP(initial)
if(.not.IsFnpZdependent) then
fNP_grid=FNP(x,0d0,bT,hadron,lambdaNP_grid)
fNP_current=FNP(x,0d0,bT,hadron,lambdaNP)
do j=-5,5
if(fNP_grid(j)==0) then
if(lpTMDPDF_base50(j)/=0.and.j/=0) then
if(outputlevel>0) &
call Warning_Raise('error in restoration: original value is zero. TMDPDF set to zero. b='//numToStr(bT),&
messageCounter,messageTrigger,moduleName)
end if
lpTMDPDF_base50(j)=0
else
lpTMDPDF_base50(j)=lpTMDPDF_base50(j)*fNP_current(j)/fNP_grid(j)
end if
end do
end if
!!!! Finally, Just calculation
else
lpTMDPDF_base50=Common_lowScale50(x,bT,hadron)
end if
end function lpTMDPDF_base50
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!OUTPUT INTERFACE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! NO SUCH FUNCTION HERE
! function lpTMDPDF_lowScale5(x,bT,hadron)
! real(dp),dimension(-5:5)::lpTMDPDF_lowScale5
! real(dp) :: x, bT
! integer::hadron
! end function lpTMDPDF_lowScale5
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu the GLUON INCLUDED
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,g,d,u,s, c ,b
!!---Full version: hadron=number of PDF (if compositeness OFF)
!!--- hadron=sum components (if compositeness ON)
!---------------------------------------------------------------------
!---------------------------------------------------------------------
function lpTMDPDF_lowScale50(x,bT,hadron)
real(dp),dimension(-5:5)::lpTMDPDF_lowScale50
real(dp) :: x, bT
integer::hadron
logical,allocatable::includeInComposition(:)
real(dp),allocatable::compositionCoefficients(:)
integer::j,jN
if(x>1d0) then
lpTMDPDF_lowScale50=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
return
end if
if(IsComposite) then
lpTMDPDF_lowScale50=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
call GetCompositionArray(hadron,lambdaNP,includeInComposition,compositionCoefficients)
jN=size(includeInComposition)
do j=1,jN
if(includeInComposition(j)) then
lpTMDPDF_lowScale50=lpTMDPDF_lowScale50+compositionCoefficients(j)*lpTMDPDF_base50(x,bT,j)
end if
end do
deallocate(includeInComposition,compositionCoefficients)
else
lpTMDPDF_lowScale50=lpTMDPDF_base50(x,bT,hadron)
end if
end function lpTMDPDF_lowScale50
| 6,400 | 42.25 | 134 | f90 |
artemide-public | artemide-public-master/src/Code/lpTMDPDF/modelTest.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of uTMDPDF module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Routines that test the behaviour of NP model------------------------------
!!!-------------------------------------------------------------------------------------------------------
!!! test FNP for z-dependance
!!! the test consists in the evaluation of FNP at several random sets and NParray
!!! and comparison of the values.
function TestFNP()
logical::TestFNP
real(dp)::xR,bR
real(dp),dimension(-5:5)::test1,test2
integer::h,i,j
real(dp),allocatable::NPtest(:)
allocate(NPtest(1:lambdaNPlength))
call RANDOM_NUMBER(NPtest)
NPtest=3d0*NPtest
TestFNP=.false.
do h=1,numberOfHadrons
do i=1,10
!! generate some random input
call RANDOM_NUMBER(xR)
if(xR>0.99d0) xR=xR/2d0
if(xR<0.00001d0) xR=0.0001d0+xR
call RANDOM_NUMBER(bR)
bR=3d0*bR
test1=FNP(xR,0.9d0,bR,hadronsInGRID(h),NPtest)
do j=1,10
test2=FNP(xR,0.8d0/REAL(j),bR,hadronsInGRID(h),NPtest)
if(SUM(ABS(test1-test2))>1d-10) then
TestFNP=.true.
exit
end if
end do
end do
end do
deallocate(NPtest)
end function TestFNP
!!! test MU for x-dependance
!!! the test consists in the evaluation of FNP at several random sets and NParray
!!! and comparison of the values.
function TestMU()
logical::TestMU
real(dp)::xR,bR
real(dp)::test1,test2
integer::i,j
TestMU=.false.
do i=1,10
call RANDOM_NUMBER(bR)
bR=3d0*bR
!!! generate some random input
call RANDOM_NUMBER(xR)
if(xR>0.99d0) xR=xR/2d0
if(xR<0.00001d0) xR=0.0001d0+xR
test1=mu_OPE(xR,bR)
!!! generate some random input
call RANDOM_NUMBER(xR)
if(xR>0.99d0) xR=xR/2d0
if(xR<0.00001d0) xR=0.0001d0+xR
test2=mu_OPE(xR,bR)
if(ABS(test1-test2)>1d-10) then
TestMU=.true.
exit
end if
end do
end function TestMU
!!! test bSTAR for lambda-dependance
!!! .true. = lambda-dependent
function TestbSTAR()
integer::i,j,k
logical::TestbSTAR
real(dp)::bT,dummy1,dummy2
real(dp),allocatable::NPtest(:)
allocate(NPtest(1:lambdaNPlength))
TestbSTAR=.false.
do i=1,lambdaNPlength
NPtest=0.5d0+0d0*NPtest
do k=0,3
bT=0.1d0+k
dummy1=bSTAR(bT,NPtest)
do j=1,3
NPtest(i)=0.9d0*j
dummy2=bSTAR(bT,NPtest)
if(abs(dummy2-dummy1)>1d-10) then
TestbSTAR=.true.
exit
end if
end do
end do
end do
end function TestbSTAR
| 3,133 | 26.734513 | 106 | f90 |
artemide-public | artemide-public-master/src/Code/uTMDFF/coeffFunc.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of uTMDFF module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Routines for the mathing coefficient--------------------------------------
!!!--------------The order is accumulative pertrubative order of coefficient =0,1,2 (LO,NLO,NNLO)---------
!!!-------------------------------------------------------------------------------------------------------
!!! the function which contains the functions of parameterizations
pure function parametrizationString(z)
real(dp),intent(in)::z
real(dp)::lz,l1z,zz
real(dp),dimension(1:parametrizationLength)::parametrizationString
zz=1d0-z
lz=Log(z)
l1z=Log(1d0-z)
parametrizationString=(/&
l1z,l1z**2,l1z**3,l1z**4,l1z**5,&
1d0/z,lz/z,lz**2/z,lz**3/z,lz**4/z,lz**5/z,&
lz,lz**2,lz**3,lz**4,lz**5,& !!!<--- exact part, approximate part --->
1d0,z,z*zz,&
z*(lz/zz+1d0),z*lz**2/zz,z*lz**3/zz,&
z*lz,z*lz**2,z*lz**3,&
z*zz*lz,z*zz*lz**2,&
zz*l1z,zz*l1z**2,zz*l1z**3,&
z*zz*l1z,z*zz*l1z**2,&
lz*l1z,z*lz*l1z,&
l1z/zz*(1-z**2+2*lz),zz/z*(l1z+z)&
/)
end function parametrizationString
!!! the function which contains
!!! int_z^1 parameterization at values of z -> 1
!!! it is used to estimate integration error at z~1
pure function parametrizationStringAt1(z)
real(dp),intent(in)::z
real(dp)::lz,l1z,zz
real(dp),dimension(1:parametrizationLength)::parametrizationStringAt1
zz=1d0-z
l1z=Log(zz)
parametrizationStringAt1=(/ &
zz*(l1z-1), & !Log[1-x]
zz*(2d0-2d0*l1z+l1z**2),& ! Log^2[1-x]
zz*(-6d0+6d0*l1z-3d0*l1z**2+l1z**3),& !Log^3[1-x]
zz*(24d0 - 24d0*l1z + 12d0*l1z**2 - 4d0*l1z**3 + l1z**4),& !Log^4[1-x]
zz*(-120d0 + 120d0*l1z - 60d0*l1z**2 + 20d0*l1z**3 - 5d0*l1z**4 + l1z**5),& !Log^5[1-x]
zz,& !1/x
0d0, 0d0, 0d0,0d0,0d0,&! log[x]/x, log[x]^2/x, log[x]^3/x, log[x]^4/x, log[x]^4/x
0d0,0d0,0d0,0d0,0d0,& !!log[x],Log[x]^2,Log[x]^3,Log[x]^4,Log[x]^5
zz, zz, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0,&
0d0, 0d0, 0d0, 0d0, 0d0, 0d0 /) !!! rest
end function parametrizationStringAt1
!!!!Each coefficient is split to delta, sing x->1, regular
!!!!!coefficient function q<-q delta-part
pure function C_q_q_delta(alpha,Nf,Lmu)
real(dp), intent(in)::Nf,alpha,Lmu
real(dp)::C_q_q_delta
C_q_q_delta=1d0
if(order_global>=1) then
!(checked 27.02.19 AV) (27.06.22 AV)
C_q_q_delta=C_q_q_delta+alpha*(-4d0/3d0*zeta2-4d0*Lmu)
if(order_global>=2) then
!-----
C_q_q_delta=C_q_q_delta+alpha*alpha*(&
-2416d0/81d0 + (Lmu**2)*(-14d0 + 4d0*Nf/3d0 - 128d0*zeta2/9d0) &
+ Nf*(352d0/243d0 + 20d0*zeta2/9d0 + 56d0*zeta3/27d0) + Lmu*(-14d0 - 140d0*zeta2/3d0 + Nf*(4d0/9d0&
+ 40d0*zeta2/9d0) + 16d0*zeta3/3d0)- 134d0*zeta2/3d0 + 448d0*zeta3/9d0 + 200d0*zeta4/9d0 ) !!!+ 2360d0*zeta4/9d0
if(order_global>=3) then
C_q_q_delta=C_q_q_delta+alpha**3*(&
Lmu**3*(-84d0 - (16d0*Nf**2)/27d0 - (896d0*zeta2)/9d0 + Nf*(128d0/9d0 + (256d0*zeta2)/27d0) &
- (4096d0*zeta3)/81d0) + (13954d0*zeta3)/81d0 + (30212d0*zeta2*zeta3)/27d0 - (244d0*zeta3**2)/3d0 &
+ Nf**2*(2800d0/19683d0 - (496d0*zeta2)/81d0 - (3712d0*zeta3)/729d0 - (88d0*zeta4)/81d0) &
+ (12796d0*zeta4)/9d0 + Lmu**2*(-302d0 + Nf**2*(-8d0/27d0 - (80d0*zeta2)/27d0) - (26476d0*zeta2)/27d0 &
+ Nf*(340d0/9d0 + (7744d0*zeta2)/81d0 - (32d0*zeta3)/9d0) + (112d0*zeta3)/3d0 + (12800d0*zeta4)/27d0) &
+ Lmu*(-5947d0/27d0 - (232612d0*zeta2)/81d0 + Nf**2*(428d0/729d0 - (560d0*zeta2)/81d0 - (32d0*zeta3)/81d0) &
+ (35200d0*zeta3)/27d0 + (15680d0*zeta2*zeta3)/27d0 + Nf*(6496d0/243d0 + (80536d0*zeta2)/243d0 &
- (112d0*zeta3)/3d0 - (1064d0*zeta4)/9d0) + (3364d0*zeta4)/3d0 - (4960d0*zeta5)/9d0) &
+ Nf*(212644d0/6561d0 + (224116d0*zeta2)/729d0 + (83452d0*zeta3)/729d0 - (5960d0*zeta2*zeta3)/81d0 &
- (1988d0*zeta4)/81d0 - (8144d0*zeta5)/81d0) - (1576d0*zeta5)/3d0 - (59468d0*zeta6)/81d0 &
- 578966d0/2187d0 - (667234d0*zeta2)/243d0)
end if
end if
end if
end function C_q_q_delta
!!!!!coefficient function g<-g delta-part
pure function C_g_g_delta(alpha,Nf,Lmu)
real(dp),intent(in)::Nf,alpha,Lmu
real(dp)::C_g_g_delta
C_g_g_delta=1d0
if(order_global>=1) then
!(checked 27.02.19 AV) (27.06.22 AV)
C_g_g_delta=C_g_g_delta+alpha*(-3d0*zeta2+(-11d0+2d0/3d0*Nf)*Lmu)
if(order_global>=2) then
!---
C_g_g_delta=C_g_g_delta+alpha*alpha*(&
-112d0 - 56d0*(Nf**2)/81d0 - 201d0*zeta2/2d0 - 72d0*(Lmu**2)*zeta2 + Lmu*(-96d0 + 32d0*Nf/3d0 &
- 108d0*zeta3) + Nf*(548d0/27d0 + 5d0*zeta2 - 28d0*zeta3/3d0) + 154d0*zeta3 + 225d0*zeta4/4d0) !!+ 2385d0*zeta4/4d0
if(order_global>=3) then
C_g_g_delta=C_g_g_delta+alpha**3*(&
-698456d0/243d0 - (213865d0*zeta2)/54d0 + Nf**3*(-752d0/2187d0 + (16d0*zeta3)/27d0) &
+ (1489d0*zeta3)/9d0 - 576d0*Lmu**3*zeta3 + 429d0*zeta2*zeta3 + 2337d0*zeta3**2 &
+ Nf**2*(-73577d0/2187d0 - (200d0*zeta2)/81d0 - (368d0*zeta3)/81d0 - (20d0*zeta4)/9d0) &
+ (15395d0*zeta4)/4d0 + Lmu**2*(-561d0 - (38d0*Nf**2)/9d0 - 3216d0*zeta2 + Nf*(311d0/3d0 &
+ 160d0*zeta2) + 2700d0*zeta4) - 2046d0*zeta5 + Nf*(1033259d0/1458d0 + (27305d0*zeta2)/81d0 &
- (17762d0*zeta3)/81d0 + (122d0*zeta2*zeta3)/3d0 - (2767d0*zeta4)/18d0 + (556d0*zeta5)/9d0) &
+ Lmu*(-4597d0/2d0 + (112d0*Nf**3)/243d0 - (8855d0*zeta2)/2d0 - 3130d0*zeta3 &
+ 3780d0*zeta2*zeta3 + Nf**2*(-4471d0/162d0 - (10d0*zeta2)/3d0 + (56d0*zeta3)/9d0) &
+ Nf*(25175d0/54d0 + (904d0*zeta2)/3d0 + (104d0*zeta3)/3d0 - (15d0*zeta4)/2d0) &
+ (495d0*zeta4)/4d0 + 2160d0*zeta5) - (28783d0*zeta6)/16d0)
end if
end if
end if
end function C_g_g_delta
!!!!!coefficient function q<-q singular-part (1/(1-x)_+,(Log(1-x)/(1-x))_+)
subroutine Set_CoeffSing1_q_q(alpha,Nf,Lmu)
real(dp),intent(in)::Nf,alpha,Lmu
real(dp)::s1,s2,s3
s1=0d0!!!coeff 1/(1-x)
s2=0d0!!!coeff log(1-x)/(1-x)
s3=0d0!!!coeff log(1-x)^2/(1-x)
if(order_global>=1) then
!(checked 27.02.19 AV) (27.06.22 AV)
s1=s1+alpha*(-16d0/3d0*Lmu)
if(order_global>=2) then
!(checked 27.02.19 AV) (27.06.22 AV)
s1=s1+alpha*alpha*(&
-3232d0/27d0 + 448d0*Nf/81d0 + (Lmu**2)*(-8d0 + 16d0*Nf/9d0) + &
Lmu*(-1072d0/9d0 + 160d0*Nf/27d0 + 352d0*zeta2/9d0) + 112d0*zeta3)
s2=s2+alpha*alpha*(256d0/9d0*Lmu**2)
if(order_global>=3) then
s1=s1+alpha**3*(&
-1188116d0/243d0 + (89632d0*zeta2)/81d0 + Lmu**3*(-208d0/9d0 + (320d0*Nf)/27d0 &
- (64d0*Nf**2)/81d0 + (2048d0*zeta2)/27d0) + Lmu**2*(-9280d0/9d0 - (320d0*Nf**2)/81d0 &
+ Nf*(4112d0/27d0 - (1280d0*zeta2)/27d0) + 512d0*zeta2 - (256d0*zeta3)/9d0) &
+ Nf**2*(-7424d0/2187d0 - (128d0*zeta3)/27d0) + (49312d0*zeta3)/9d0 - (2560d0*zeta2*zeta3)/3d0 &
+ Lmu*(-961208d0/243d0 - (1600d0*Nf**2)/243d0 + (49312d0*zeta2)/27d0 + Nf*(321104d0/729d0 &
- (7360d0*zeta2)/81d0 - (5504d0*zeta3)/81d0) + (37760d0*zeta3)/27d0 - (34592d0*zeta4)/27d0) &
+ Nf*(332632d0/729d0 - (11680d0*zeta2)/243d0 - (15712d0*zeta3)/81d0 - (16d0*zeta4)/9d0) &
+ 616d0*zeta4 - 2304d0*zeta5)
s2=s2+alpha**3*(Lmu**3*(1792d0/9d0 - (512d0*Nf)/27d0) + Lmu**2*(34304d0/27d0 - (5120d0*Nf)/81d0 &
- (10240d0*zeta2)/27d0) + Lmu*(103424d0/81d0 - (14336d0*Nf)/243d0 - (3584d0*zeta3)/3d0))
s3=alpha**3*((-2048d0*Lmu**3)/27d0)
end if
end if
end if
CoeffSing1_q_q=(/s1,s2,s3/)
end subroutine Set_CoeffSing1_q_q
!!!!!coefficient function g<-g singular-part (1/(1-x)_+,(Log(1-x)/(1-x))_+)
subroutine Set_CoeffSing1_g_g(alpha,Nf,Lmu)
real(dp),intent(in)::Nf,alpha,Lmu
real(dp)::s1,s2,s3
s1=0d0!!!coeff 1/(1-x)
s2=0d0!!!coeff log(1-x)/(1-x)
s3=0d0!!!coeff log(1-x)^2/(1-x)
if(order_global>=1) then
!(checked 27.02.19 AV) (27.06.22 AV)
s1=s1+alpha*(-12d0)*Lmu
if(order_global>=2) then
!(checked 27.02.19 AV) (27.06.22 AV)
s1=s1+alpha*alpha*(&
-808d0/3d0 + (Lmu**2)*(66d0 - 4d0*Nf) + 112d0*Nf/9d0 +&
Lmu*(-268d0 + 40d0*Nf/3d0 + 108d0*zeta2) + 252d0*zeta3)
!
s2=s2+alpha*alpha*144d0*(Lmu**2)
if(order_global>=3) then
!(checked 27.02.19 AV) (27.06.22 AV)
s1=s1+alpha**3*(&
-297029d0/27d0 + (8816d0*zeta2)/3d0 + Lmu**3*(242d0 - (88d0*Nf)/3d0 + (8d0*Nf**2)/9d0 + 864d0*zeta2) &
+ Nf**2*(-1856d0/243d0 - (32d0*zeta3)/3d0) + 12328d0*zeta3 - 2340d0*zeta2*zeta3 &
+ Lmu**2*(540d0 + Nf*(-52d0 - 12d0*zeta2) + 198d0*zeta2 + 1296d0*zeta3) &
+ Lmu*(-18086d0/3d0 + (16d0*Nf**2)/9d0 + 5226d0*zeta2 + 132d0*zeta3 + Nf*(4484d0/9d0 &
- 260d0*zeta2 + 152d0*zeta3) - 3591d0*zeta4) + Nf*(83158d0/81d0 - (1160d0*zeta2)/9d0 &
- (3928d0*zeta3)/9d0 - 4d0*zeta4) + 1386d0*zeta4 - 5184d0*zeta5)
!
s2=s2+alpha**3*(Lmu**2*(6432d0 - 320d0*Nf - 2160d0*zeta2) + Lmu*(6464d0 - (896d0*Nf)/3d0 - 6048d0*zeta3))
s3=alpha**3*(-864d0*Lmu**3)
end if
end if
end if
CoeffSing1_g_g=(/s1,s2,s3/)
end subroutine Set_CoeffSing1_g_g
!!!!!coefficient function q->q
subroutine Set_Coeff_q_q(alpha,Nf,Lmu)
real(dp),intent(in)::alpha,Nf,Lmu
real(dp),dimension(1:36)::inter
!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_q_q=0d0
!
if(order_global>=1) then
!(checked 27.02.19 AV) (27.06.22 AV)
Coeff_q_q=Coeff_q_q+alpha*(/&
0d0,0d0,0d0, 0d0, 0d0,& !Log[1-z], log[1-z]^2, log[1-z]^3, log[1-z]^4, log[1-z]^5 !exact
0d0,0d0,0d0,0d0,0d0,0d0,& !1/z, log[z]/z, Log[z]^2/z, Log[z]^3/z, Log[z]^4/z, Log[z]^5/z !exact
16d0/3d0,0d0,0d0,0d0, 0d0,& !Log[z], log[z]^2, Log[z]^3, log[z]^4, Log[z]^5 !exact
8d0/3d0*(1d0+Lmu),8d0/3d0*(Lmu-5d0), 0d0,&
32d0/3d0, 0d0, 0d0,&
-16d0/3d0, 0d0, 0d0,&
0d0, 0d0, 0d0, 0d0, 0d0, 0d0,&
0d0, 0d0, 0d0, 0d0, 0d0/)
!------The kernels are calculated in mathematica
if(order_global>=2) then
!(checked 27.02.19 AV)
inter(1:16)=(/&
-200d0/9d0 + 256d0*Lmu/3d0 - 256d0*(Lmu**2)/9d0, &!Log[1-z]
64d0/9d0, & !log[1-z]^2
0d0, 0d0, 0d0, & !Log^2[1-z], log[1-z]^3, log[1-z]^4 !exact
0d0,0d0,0d0,0d0,0d0,0d0,& !1/z, log[z]/z, Log[z]^2/z, Log[z]^3/z !exact
1496d0/9d0-32d0*(Lmu**2)/9d0+Lmu*(248d0/9d0-16d0*Nf/9d0)-8d0*Nf-560d0*zeta2/9d0,&!Log[z]
-130d0/9d0+88d0*Lmu/9d0+4d0*Nf/9d0, & !Log^2[z]
-140d0/27d0, 0d0, 0d0/) !Log[z], log[z]^2, Log[z]^3 !exact
inter(17:36)=&
(/ -0.888888888888889d0, -0.888888888888889d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0&
/)*Nf*Lmu**2&
+ &
(/ -1.185185185185185d0, -1.185185185185185d0, 0d0, -3.555555555555556d0, &
0d0, 0d0, 1.777777777777778d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0&
/)*Nf*Lmu&
+ &
(/ -3.654320987654321d0, 7.01234567901235d0, 0d0, -8.888888888888889d0, &
0.8888888888888889d0, 0d0, 8.d0, -0.4444444444444444d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0&
/)*Nf&
+ &
(/ -3.111111111111111d0, 25.33333333333333d0, 0d0, -14.22222222222222d0, &
0d0, 0d0, 10.66666666666667d0, 0d0, 0d0, 0d0, 0d0, 14.22222222222222d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0&
/)*Lmu**2 &
+ &
(/ -10.83426619614309d0, 70.9435115816347d0, 0d0, -5.333333333333333d0, &
40.88888888888889d0, 0d0, -24.d0, -31.11111111111111d0, 0d0, &
0d0, 0d0, -56.88888888888889d0, 0d0, 0d0, 0d0, 0d0, &
42.66666666666667d0, 42.66666666666667d0, -42.66666666666667d0, 0d0&
/)*Lmu &
+ &
(/ -126.3853088284307d0, -17.288496146375d0, 457.8573648571505d0, -11.376584400133861d0, &
-33.026470960317d0, -29.01610383405676d0, 324.6919301289853d0, 17.477762066110003d0, &
23.805124211514354d0, -196.35241508570232d0, 20.87694875005565d0, 290.64815320800926d0, &
-0.4394514401811413d0, -0.00127664405525959d0, 37.496309830013715d0, -3.1454576814270183d0, &
-49.19558150692296d0, 85.96887438889961d0, 153.36042722188085d0, 62.22115690085759d0/)
Coeff_q_q=Coeff_q_q+alpha*alpha*inter
if(order_global>=3) then
inter(1:16)=(/&
347680d0/243d0 + Lmu**3*(-7424d0/27d0 + (512d0*Nf)/27d0) - (43712d0*zeta2)/81d0 &
+ Nf*(-42736d0/729d0 + (3568d0*zeta2)/81d0) + Lmu**2*(-21248d0/27d0 + (512d0*Nf)/81d0 &
+ (10240d0*zeta2)/27d0) - (5792d0*zeta3)/3d0 + Lmu*(130672d0/81d0 - (20704d0*Nf)/243d0 &
- (2048d0*zeta2)/3d0 + (3584d0*zeta3)/3d0),&
7400d0/81d0 - (8192d0*Lmu**2)/27d0 + (2048d0*Lmu**3)/27d0 + Lmu*(6656d0/27d0 &
- (256d0*Nf)/27d0) - (280d0*Nf)/27d0 - (1672d0*zeta2)/27d0, &
2816d0/81d0 - (1024d0*Lmu)/27d0 - (512d0*Nf)/243d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, &
1361368d0/243d0 + (2144d0*Nf**2)/243d0 + Lmu**3*(-928d0/27d0 + (64d0*Nf)/27d0) &
+ Lmu**2*(920d0/27d0 - (1856d0*Nf)/81d0 + (32d0*Nf**2)/27d0 - (512d0*zeta2)/27d0) &
- (265888d0*zeta2)/81d0 + Lmu*(243632d0/81d0 + (512d0*Nf**2)/81d0- (6112d0*zeta2)/9d0 &
+ Nf*(-69104d0/243d0 + (1216d0*zeta2)/27d0) - 224d0*zeta3) + Nf*(-467728d0/729d0 &
+ (39776d0*zeta2)/243d0 - (640d0*zeta3)/27d0) + (5072d0*zeta3)/81d0 + (204928d0*zeta4)/81d0,&
-11464d0/9d0 - (128d0*Lmu**3)/81d0 + Lmu**2*(872d0/9d0 - (176d0*Nf)/27d0) - (592d0*Nf**2)/243d0 &
+ Lmu*(10976d0/27d0 + (320d0*Nf)/81d0 - (32d0*Nf**2)/27d0 - (2240d0*zeta2)/27d0) &
- (640d0*zeta2)/81d0 + Nf*(23272d0/243d0 + (304d0*zeta2)/27d0) + (17440d0*zeta3)/81d0, &
-75028d0/243d0 + (448d0*Lmu**2)/81d0 + (3328d0*Nf)/729d0 + (112d0*Nf**2)/243d0 &
+ Lmu*(-4552d0/81d0 + (304d0*Nf)/81d0) + (12512d0*zeta2)/243d0, &
-422d0/243d0 - (370d0*Lmu)/81d0 - (4d0*Nf)/27d0, &
134d0/405d0/)
inter(17:36)=&
(/ 0.395061728395062d0, 0.395061728395062d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0 &
/)*Nf**2*Lmu**3 &
+ &
(/ 0.790123456790123d0, 0.790123456790123d0, 0d0, 2.370370370370370d0, &
0d0, 0d0, -1.185185185185185d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0 &
/)*Nf**2*Lmu**2 &
+ &
(/ -0.658436213991770d0, -0.658436213991770d0, 0.000006646661665956256d0, 7.901252623191405d0, &
-2.370369393039824d0, 0.0000001051287377209631d0, -6.320984680374406d0, 1.185183653784385d0, &
-0.0000001040493847583887d0, -0.000004388019163816241d0, 0.0000005803783465894928d0, 0.0000210610298627657d0, &
0.00000005367329796056104d0, -0.0000000001165564763461417d0, 0.00000128081294438327d0, -0.00000005629717700258444d0, &
0.00001486726713632128d0, 0.00001026801319586006d0, 0.0000007726427697087596d0, 0.000004317723336688416d0 &
/)*Nf**2*Lmu &
+ &
(/ 1.649502965696999d0, 1.122753994503583d0, 0.00001823720067355565d0, 6.321034058160635d0, &
-3.292178686368146d0, 0.921810927344545d0, -8.82303646597564d0, 2.436210114120259d0, &
-0.460905575256123d0, -0.00001175111518140113d0, 0.000001550290154123572d0, 0.00005497828785022403d0, &
0.000000137813218278815d0, -0.0000000003001551839516394d0, 0.000003331211735256033d0, -0.0000001445675118615718d0, &
0.00003792360810804984d0, 0.00002662888660677162d0, 0.000002519834465779048d0, 0.00001122862903817708d0 &
/)*Nf**2 &
+ &
(/ -1.185185185185185d0, -20.14814814814815d0, 0d0, 9.481481481481481d0, &
0d0, 0d0, -7.111111111111111d0, 0d0, &
0d0, 0d0, 0d0, -9.481481481481481d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0 &
/)*Nf*Lmu**3 &
+ &
(/ 27.23794331294561d0, -97.6015628598939d0, 0d0, -3.950617283950617d0, &
-27.25925925925926d0, 0d0, 4.740740740740741d0, 20.74074074074074d0, &
0d0, 0d0, 0d0, -7.901234567901235d0, &
0d0, 0d0, 0d0, 0d0, &
-28.44444444444444d0, -28.44444444444444d0, 28.44444444444444d0, 0d0 &
/)*Nf*Lmu**2 &
+ &
(/ 180.1084175723685d0, -245.8094598286008d0, -241.0425642824332d0, -156.5582318048157d0, &
-6.081364713071015d0, 21.15677343468357d0, -28.66596318600849d0, 45.75127400615632d0, &
-17.3876329711481d0, 122.8797470606384d0, -12.78377412797905d0, -144.3955152674698d0, &
0.916059677415882d0, 0.001049351119511121d0, -40.19547657095027d0, 3.848957873348752d0, &
0.2375155392967963d0, -192.4660943680877d0, -27.22661741124765d0, -43.19184587535115d0 &
/)*Nf*Lmu &
+ &
(/ 224.5632837520682d0, -38.8171541898427d0, -1739.064804229186d0, 2148.88101586926d0, &
519.5338320734754d0, 135.7207359673928d0, -1864.69754582409d0, -369.5892119238029d0, &
-142.8782204760399d0, 456.800692339773d0, -34.5320042240207d0, 686.07164398811d0, &
-4.444420013467424d0, 1.056805481674338d0, 32.65862850323677d0, 0.977487438124628d0, &
2201.287887314699d0, 707.854792341094d0, -1024.899816578233d0, 114.5268315517728d0 &
/)*Nf &
+ &
(/ -150.7636565436621d0, 148.6590280656929d0, -21.29097314204883d0, -152.3072584481715d0, &
-12.30437452642475d0, 0.1767046945230637d0, 112.0562612182513d0, 11.65293957935564d0, &
-0.1758147499739741d0, 8.159427190277d0, -0.905782415992485d0, 160.0269041677232d0, &
-37.94781893263169d0, 0.00004259433166843154d0, -0.527055363432896d0, 0.02286439735345148d0, &
-45.11158158383627d0, -59.09630887089385d0, 23.58938336385421d0, -3.187774019456777d0 &
/)*Lmu**3 &
+ &
(/ -579.675025157712d0, 1513.187936819728d0, -2854.114915084704d0, -10442.38400870205d0, &
734.5175450719109d0, 116.4416056816371d0, 1651.708054026545d0, -428.1084737061445d0, &
-110.5706118713186d0, 2038.688654819524d0, -210.1917201882055d0, -8475.06816964152d0, &
69.69984660195378d0, 0.02853693631991892d0, -1099.595361465606d0, 120.592270967213d0, &
848.007772537267d0, -3628.955404266093d0, -3890.548906092623d0, -1049.703002827976d0 &
/)*Lmu**2 &
+ &
(/ -2023.470520476187d0, 1378.804183835033d0, -20008.67622378371d0, 57978.38628205719d0, &
12181.58412298762d0, 2737.561862207436d0, -33150.70798716165d0, -10819.09037758744d0, &
-2619.72349444805d0, 509.9388635163218d0, 294.8075974462912d0, 33531.54770027113d0, &
-140.1473006675752d0, 18.91718762865996d0, 3864.586363669312d0, -270.7379415556374d0, &
78870.27267736225d0, 32632.89228244875d0, -33000.69051736807d0, 6629.349785184928d0 &
/)*Lmu &
+ &
(/ 241.5165309840164d0, -1938.094559073414d0, -92103.9637009004d0, 206938.7974251147d0, &
51620.75140731967d0, 14643.72991050662d0, -122316.2209010014d0, -44169.80991426136d0, &
-13704.55994625964d0, 2321.777657850387d0, 1941.917129722069d0, 114823.7834678573d0, &
375.9174158027219d0, -43.68740314379325d0, 12950.02236176927d0, -358.4528971923611d0, &
398389.0709057566d0, 128964.8773491693d0, -189773.7471494758d0, 21607.05629109171d0 &
/)
Coeff_q_q=Coeff_q_q+alpha**3*inter
end if
end if
end if
end subroutine Set_Coeff_q_q
!!!!!coefficient function q->g
subroutine Set_Coeff_q_g(alpha,Nf,Lmu)
real(dp),intent(in)::alpha,Nf,Lmu
real(dp),dimension(36)::inter
!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_q_g=0d0
if(order_global>=1) then
!(checked 27.02.19 AV)
Coeff_q_g=Coeff_q_g+alpha*(/&
0d0,0d0,0d0,0d0,0d0,& !Log[1-z], log[1-z]^2, log[1-z]^3 !exact
-16d0/3d0*Lmu,32d0/3d0,0d0,0d0,0d0,0d0,& !1/z, log[z]/z, Log[z]^2/z, Log[z]^3/z !exact
-32d0/3d0,0d0,0d0,0d0,0d0,& !Log[z], log[z]^2, Log[z]^3 !exact
16d0/3d0*Lmu,8d0/3d0*(1d0-Lmu), 0d0,& !
0d0, 0d0, 0d0,&
16d0/3d0, 0d0, 0d0,&
0d0, 0d0, 0d0, 0d0, 0d0, 0d0,&
0d0, 0d0, 0d0, 0d0, 0d0/)
!------The kernels are calculated in mathematica
if(order_global>=2) then
inter(1:16)=(/&
-40d0/9d0 - 128d0*Lmu/9d0 + 208d0*(Lmu**2)/9d0 - 80d0*zeta2/3d0, &
-40d0/9d0 + 80d0*Lmu/9d0, &
40d0/27d0, 0d0, 0d0,& !Log[1-z], log[1-z]^2, log[1-z]^3 !exact
12512d0/27d0 - 248d0*(Lmu**2)/3d0 + Lmu*(112d0/3d0 - 64d0*zeta2) - 352d0*zeta2/3d0 - 352d0*zeta3,&
400d0/3d0 + 992d0*Lmu/3d0 - 32d0*Lmu**2, &
-848d0/3d0 + 128d0*Lmu, &
-320d0/3d0, 0d0, 0d0, & !1/z, log[z]/z, Log[z]^2/z, Log[z]^3/z !exact
1144d0/3d0 - 64d0*Lmu - 224d0*(Lmu**2)/9d0, 64d0/3d0 + 224d0*Lmu/3d0, -1232d0/27d0, 0d0, 0d0/)
!! adding approximate part
inter(17:36)=&
(/ 24.88888888888889d0, 63.1111111111111d0, -10.66666666666667d0, 0d0, &
0d0, 0d0, -35.55555555555556d0, 0d0, &
0d0, 0d0, 0d0, -23.11111111111111d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 46.22222222222222d0 &
/)*Lmu**2 &
+ &
(/ -112.0000000000000d0, 50.6925128318890d0, 1172.292645867259d0, -1634.076478411569d0, &
355.6744240132547d0, 41.95910256399803d0, 2291.78782808891d0, -339.1244317449503d0, &
-41.70046206749001d0, -789.7152916122896d0, 112.7443660468996d0, 982.00128181958d0, &
31.05575175091441d0, -0.005109919714865203d0, 253.7667122771159d0, -22.28901233909695d0, &
3549.035032468401d0, 1424.375201893528d0, -1784.437635831888d0, 242.4000943500821d0 &
/)*Lmu &
+ &
(/ 848.868057025367d0, -681.035773803485d0, 10356.41248501491d0, 12093.05458031778d0, &
92.80067909259d0, -95.9817145324191d0, 8187.34804913428d0, -754.3989654812444d0, &
6.211685352625884d0, -5743.667882947058d0, 731.6907868928562d0, 18595.76351962874d0, &
73.37773229763224d0, 1.37991615985907d0, 1213.030005642114d0, -54.41561517874279d0, &
8894.02936156517d0, 8619.91197172082d0, 2818.181932623188d0, 3288.617186218982d0 /)
Coeff_q_g=Coeff_q_g+alpha*alpha*inter
!------The kernels are calculated in mathematica
if(order_global>=3) then
inter(1:16)=(/&
-442792d0/729d0 + Lmu**3*(1904d0/27d0 - (544d0*Nf)/81d0) - (80272d0*zeta2)/81d0 &
+ Lmu**2*(7088d0/9d0 - (1696d0*Nf)/81d0 + (4160d0*zeta2)/9d0) + Lmu*(1184d0/3d0 &
- (18416d0*zeta2)/27d0 + Nf*(-496d0/81d0 + (416d0*zeta2)/9d0) - (13088d0*zeta3)/27d0) &
+ (15824d0*zeta3)/81d0 + Nf*(82672d0/2187d0 + (2912d0*zeta2)/81d0 + (224d0*zeta3)/9d0) &
+ (1280d0*zeta4)/9d0, &
12484d0/243d0 - (8512d0*Lmu**3)/81d0 + Lmu**2*(1864d0/27d0 - (80d0*Nf)/27d0) - (19784d0*zeta2)/81d0 &
+ Nf*(1016d0/729d0 + (496d0*zeta2)/27d0) + Lmu*(9520d0/27d0 - (800d0*Nf)/81d0 + (2560d0*zeta2)/9d0) &
- (10480d0*zeta3)/81d0, &
14120d0/243d0 - (2080d0*Lmu**2)/27d0 + Lmu*(1360d0/27d0 - (160d0*Nf)/81d0) - (1360d0*Nf)/729d0 &
+ (8000d0*zeta2)/243d0, &
1930d0/243d0 - (1840d0*Lmu)/81d0 - (100d0*Nf)/243d0, &
-200d0/81d0,&
-14047804d0/243d0 + (26528d0*zeta2)/27d0 + Lmu**3*(-5128d0/3d0 + (8432d0*Nf)/243d0 + (2816d0*zeta2)/9d0) &
+ Lmu**2*(155872d0/27d0 - (24064d0*zeta2)/9d0 + Nf*(-248d0/243d0 + (128d0*zeta2)/3d0) - (29632d0*zeta3)/27d0) &
- (1396720d0*zeta3)/81d0 + (520192d0*zeta2*zeta3)/81d0 + (735304d0*zeta4)/27d0 + Nf*(-304640d0/6561d0 &
+ (17312d0*zeta2)/243d0 + (24704d0*zeta3)/81d0 + (2336d0*zeta4)/27d0) + Lmu*(1192312d0/243d0 &
- (224576d0*zeta2)/27d0 - (153280d0*zeta3)/27d0 + Nf*(-8200d0/243d0 + (24448d0*zeta2)/81d0 + (21760d0*zeta3)/81d0) &
+ (37376d0*zeta4)/27d0) + (1105024d0*zeta5)/27d0, &
-4469696d0/243d0 + Lmu**3*(-2048d0/3d0 + (1088d0*Nf)/81d0) + Lmu**2*(9952d0 - (10976d0*Nf)/81d0 - (6784d0*zeta2)/3d0) &
+ (960256d0*zeta2)/81d0 + Nf*(-343600d0/729d0 - (34624d0*zeta2)/81d0 - (26240d0*zeta3)/81d0) + Lmu*(-357616d0/27d0 &
+ Nf*(-1328d0/243d0 - (2432d0*zeta2)/27d0) + (59968d0*zeta2)/9d0 - (3584d0*zeta3)/27d0) + (327680d0*zeta3)/27d0 &
+ (1556608d0*zeta4)/81d0, &
722368d0/81d0 - 64d0*Lmu**3 + Lmu**2*(3744d0 - (1600d0*Nf)/27d0) - (117568d0*zeta2)/27d0 + Nf*(-56560d0/243d0 &
+ (3328d0*zeta2)/27d0) + Lmu*(-49360d0/3d0 + (11200d0*Nf)/81d0 + (12544d0*zeta2)/3d0) + (382592d0*zeta3)/81d0, &
243776d0/27d0 + 384d0*Lmu**2 - (17152d0*Nf)/243d0 + Lmu*(-19072d0/3d0 + (6272d0*Nf)/81d0) - (59648d0*zeta2)/27d0, &
31264d0/9d0 - 704d0*Lmu - (8768d0*Nf)/243d0, &
384d0,&
-15084496d0/729d0 + Lmu**3*(-224d0 + (320d0*Nf)/81d0) + Lmu**2*(-42592d0/27d0 + (6272d0*Nf)/81d0 - (20992d0*zeta2)/27d0) &
- (118832d0*zeta2)/27d0 + Lmu*(-488d0/9d0 - (111184d0*zeta2)/27d0 + Nf*(624d0 + (2048d0*zeta2)/9d0) &
- (139520d0*zeta3)/27d0) + Nf*(-61760d0/2187d0 + (5968d0*zeta2)/9d0 - (7936d0*zeta3)/81d0) &
+ (640768d0*zeta3)/81d0 + (1123832d0*zeta4)/81d0, &
468728d0/81d0 + Lmu**2*(19040d0/27d0 - (320d0*Nf)/27d0) + Lmu**3*(4288d0/81d0 - (128d0*Nf)/27d0) &
+ Nf*(-119776d0/243d0 - (3328d0*zeta2)/9d0) + (597520d0*zeta2)/81d0 + Lmu*(-30704d0/27d0 + 160d0*Nf &
+ (1072d0*zeta2)/9d0) + (192320d0*zeta3)/81d0, &
275248d0/243d0 - (97408d0*Nf)/729d0 + Lmu**2*(-17152d0/81d0 + (512d0*Nf)/27d0) + Lmu*(-46064d0/81d0 &
+ (2464d0*Nf)/81d0) + (114160d0*zeta2)/243d0,&
12128d0/81d0 + Lmu*(20368d0/81d0 - (608d0*Nf)/27d0) - (1984d0*Nf)/81d0, &
-36448d0/405d0 + (1088d0*Nf)/135d0/)
!! adding approximate part
inter(17:36)=(/&
-39.5061728395062d0, 2.4362139917695d0, 4.477366255144033d0, 0d0, &
0d0, 0d0, 1.580246913580247d0, 2.370370370370370d0, &
0d0, 0d0, 0d0, 6.716049382716049d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, -13.43209876543210d0 &
/)*Nf*Lmu**3 &
+ &
(/ -94.7462477470832d0, 60.9925983718335d0, -402.7543369400545d0, 563.1095484979481d0, &
-118.6392754103136d0, -14.06948319574519d0, -931.950506744753d0, 159.4127761086216d0, &
4.50137807217051d0, 272.6598197657955d0, -37.06742959873558d0, -294.8342388102304d0, &
-10.34175381633058d0, 0.001683440133333974d0, -84.3231284596963d0, 7.41905455083984d0, &
-1186.44133757814d0, -473.3843157692066d0, 600.0652595234989d0, -130.7648189212868d0 &
/)*Nf*Lmu**2 &
+ &
(/ 27.90176236251998d0, -576.314978027694d0, 52331.43664917138d0, -88937.065324927d0, &
-21885.79856102572d0, -6809.973010347166d0, 69803.66296477706d0, 17054.1019453812d0, &
6411.367736631225d0, -7113.765946542411d0, -141.6033277182562d0, -32433.76530334356d0, &
-157.4006898416644d0, -1.694198688767325d0, -4463.097292702729d0, 143.2982974472474d0, &
-156130.5526062531d0, -47850.77816493929d0, 81021.679641728d0, -5040.586823324242d0 &
/)*Nf*Lmu &
+ &
(/ -195.2143315627602d0, -249.684211470751d0, 694813.7901407169d0, -1309002.336505629d0, &
-309712.4994413114d0, -89698.1970419772d0, 915174.221890104d0, 264666.9293217459d0, &
86901.0118625728d0, -72809.89804603783d0, -4761.257131869202d0, -676975.3323359747d0, &
-2489.146897906335d0, 10.18478186972605d0, -74744.89268098189d0, 2725.60563803361d0, &
-2259105.919338529d0, -757087.644033478d0, 1070886.331137086d0, -120967.8965888338d0 &
/)*Nf &
+ &
(/ 1112.129085571333d0, 287.382887105342d0, 318.986340291904d0, -13688.28993954358d0, &
294.2864269281446d0, 69.4343808556498d0, 7479.523043572333d0, -274.2035482949935d0, &
-69.03665413806086d0, 1723.914083675291d0, -153.6969168976626d0, -8996.15281416407d0, &
-372.7296762837818d0, 0.07630795184609163d0, -2130.023194331339d0, 269.4360405606308d0, &
4611.371141068274d0, -6356.956569032511d0, -4607.710911604733d0, 460.8016544696405d0 &
/)*Lmu**3 &
+ &
(/ 88.0001806474415d0, -554.316431748592d0, -17490.16301406013d0, -105270.6320149402d0, &
14604.94414764404d0, 2498.924750897689d0, 51701.003293862d0, -15044.08508156181d0, &
-1773.555203617338d0, 4265.152608840256d0, -176.8253685270781d0, -52639.63885069622d0, &
15.87994034980141d0, -75.42873607273132d0, -843.645865262513d0, -259.6765377295376d0, &
113608.0454458143d0, 4815.710614481128d0, -84233.4980240564d0, 5122.234463898707d0 &
/)*Lmu**2 &
+ &
(/ -2898.239089727381d0, 11796.74657932397d0, -6709107.101014003d0, 1251833.027398668d0, &
2129514.14143842d0, 679574.0155882386d0, -6236329.426409709d0, -1516155.858376501d0, &
-640350.1890947426d0, 1876101.340282979d0, -124149.7547059303d0, -3395971.877385121d0, &
-22397.67991092111d0, 472.7626249836995d0, -86163.9393799184d0, 30696.52833128749d0, &
13119779.84014492d0, 1804145.6185806d0, -9692308.64253736d0,-931258.418909355d0 &
/)*Lmu &
+ &
(/ -36247.35239293123d0, 27970.83834163821d0, -91700003.2432001d0, 173212749.874713d0, &
40397446.74699754d0, 11736754.19560485d0, -121535271.7418424d0, -34442681.04637739d0, &
-11361302.82440776d0, 9878896.58697324d0, 567819.1120798423d0, 88394387.4527129d0, &
344149.9125312954d0, -997.71215944967d0, 9797815.76198555d0, -367057.3176477686d0, &
294170323.7568769d0, 98745093.9157183d0, -139306184.1703019d0, 15930197.08022237d0 /)
Coeff_q_g=Coeff_q_g+alpha**3*inter
end if
end if
end if
end subroutine Set_Coeff_q_g
!!!!!coefficient function g->q
subroutine Set_Coeff_g_q(alpha,Nf,Lmu)
real(dp),intent(in)::alpha,Nf,Lmu
real(dp),dimension(36)::inter
!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_g_q=0d0
if(order_global>=1) then
Coeff_g_q=Coeff_g_q+alpha*(/&
0d0,0d0,0d0,0d0,0d0,& !Log[1-z], log[1-z]^2, log[1-z]^3 !exact
0d0,0d0,0d0,0d0,0d0,0d0,& !1/z, log[z]/z, Log[z]^2/z, Log[z]^3/z !exact
2d0,0d0,0d0,0d0,0d0,& !Log[z], log[z]^2, Log[z]^3 !exact
-Lmu,0d0, 2d0*(1d0+Lmu),& !
0d0, 0d0, 0d0,&
0d0, 0d0, 0d0,&
-4d0, 0d0, 0d0, 0d0, 0d0, 0d0,&
0d0, 0d0, 0d0, 0d0, 0d0/)
if(order_global>=2) then
inter(1:16)=(/&
-44d0/3d0 + (26d0*Lmu**2)/3d0 + (10d0*Nf)/9d0 + Lmu*(-14d0 + (4d0*Nf)/3d0) + 10d0*zeta2, &
-7d0/2d0 - (10d0*Lmu)/3d0 + Nf/3d0, &
-5d0/9d0, 0d0, 0d0, &
-148d0/9d0 - 4d0*Lmu + 4d0*Lmu**2 + 8d0*zeta2, &
8d0 - 16d0*Lmu,&
16d0, 0d0, 0d0, 0d0,&
-157d0/3d0 + 10d0*Lmu + (14d0*Lmu**2)/3d0 - (10d0*Nf)/3d0 - (100d0*zeta2)/3d0, &
-73d0/3d0 - 14d0*Lmu + Nf/3d0, &
77d0/9d0, 0d0, 0d0/)
!! adding approximate part
inter(17:36)=&
(/ 2.222222222222222d0, 0.d0, -3.111111111111111d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, -2.666666666666667d0, 0d0, &
0d0, 0d0, 0d0, 0d0 &
/)*Nf*Lmu &
+ &
(/ -1.215794059622379d0, 0d0, 34.59854686788562d0, 172.0354591354246d0, &
-1.071417919816238d0, -0.7835833535773114d0, -30.52704104632661d0, -3.489090918240755d0, &
0.7796161540187825d0, -18.67690566408815d0, 3.791306229360859d0, 146.2490968992552d0, &
0.1408593763861849d0, -0.0002670601198483139d0, 16.19730505792535d0, -0.813632333526747d0, &
15.97709186544453d0, 70.97529088501029d0, 50.23115131690548d0, 23.36316570035092d0 &
/)*Nf &
+ &
(/ 0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0 &
/)*Lmu**3 &
+ &
(/ 2.333333333333333d0, -4.333333333333333d0, 31.d0, 0d0, &
0d0, 0d0, 21.33333333333333d0, 0d0, &
0d0, 5.333333333333333d0, 0d0, 0d0, &
0d0, 0d0, -17.33333333333333d0, 0d0, &
0d0, 0d0, 0d0, 0d0 &
/)*Lmu**2 &
+ &
(/ 43.6402381150449d0, -30.603816843113d0, -603.0961385139581d0, -1331.590190083019d0, &
223.9435507792411d0, 39.85022710610476d0, 61.24449633518426d0, -277.4567047122059d0, &
-39.60522850745566d0, 67.0315587097388d0, -32.23080837927475d0, -762.2077398211369d0, &
-3.286864777088938d0, 0.006959323156868987d0, 174.6788103055855d0, 10.11081169037133d0, &
1272.618794495229d0, 355.4663272198425d0, -1259.003777739434d0, -267.7972686439948d0 &
/)*Lmu &
+ &
(/ -112.7283628879928d0, 136.9112562789268d0, 5702.393680429243d0, -16278.82453523954d0, &
891.39771295882d0, 78.11964387865778d0, 14371.59100807822d0, -1292.469409170783d0, &
-10.72150385317866d0, -2734.539871601295d0, 416.8935791015186d0,-3409.222385706619d0, &
9.56237898125257d0, 1.113929684221592d0, -278.5432441690214d0, -1.145484592787573d0, &
9853.33838060694d0, 566.5094605848551d0, -7243.97819707409d0, -396.7228493775216d0 /)
Coeff_g_q=Coeff_g_q+alpha*alpha*inter
if(order_global>=3) then
inter(1:16)=(/&
-300818d0/243d0 + Lmu**3*(238d0/9d0 - (68d0*Nf)/27d0) + Lmu**2*(1439d0/3d0 - (176d0*Nf)/9d0 &
- (4d0*Nf**2)/9d0 - (3250d0*zeta2)/9d0) + (33947d0*zeta2)/27d0 + Nf**2*(-104d0/27d0 + (28d0*zeta2)/9d0) &
+ Lmu*(-7730d0/27d0 - (100d0*Nf**2)/27d0 + Nf*(7832d0/81d0 - (188d0*zeta2)/9d0) + (778d0*zeta2)/3d0 &
- (4276d0*zeta3)/9d0) + (1196d0*zeta3)/9d0 + Nf*(119606d0/729d0 - (10070d0*zeta2)/81d0 + (104d0*zeta3)/27d0) &
- (18055d0*zeta4)/27d0, &
-36032d0/81d0 - (1064d0*Lmu**3)/27d0 + Lmu**2*(329d0/3d0 - (94d0*Nf)/9d0) - (50d0*Nf**2)/27d0 + Lmu*(-983d0/6d0&
+ (202d0*Nf)/9d0 - (10d0*Nf**2)/9d0 - (70d0*zeta2)/3d0) + Nf*(14267d0/243d0 - (187d0*zeta2)/9d0) &
+ (4487d0*zeta2)/18d0 + (530d0*zeta3)/27d0, &
-15263d0/162d0 + (260d0*Lmu**2)/9d0 + Lmu*(-97d0/9d0 + (22d0*Nf)/27d0) + (2734d0*Nf)/243d0 - (10d0*Nf**2)/27d0 &
+ (2075d0*zeta2)/81d0,&
-145d0/12d0 + (10d0*Lmu)/9d0 + (175d0*Nf)/162d0, &
-25d0/27d0, &
77224d0/27d0 + Lmu**3*(272d0/3d0 - (136d0*Nf)/81d0) + Lmu**2*(-718d0/3d0 - (208d0*Nf)/81d0 - (52d0*zeta2)/3d0) &
- (3244d0*zeta2)/27d0 + Lmu*(-128d0/3d0 + (2764d0*zeta2)/9d0 + Nf*(-4252d0/243d0 + (272d0*zeta2)/27d0) &
- 208d0*zeta3) + Nf*(25856d0/2187d0 - (3200d0*zeta2)/243d0 - (16d0*zeta3)/27d0) + (4456d0*zeta3)/9d0 - 1468d0*zeta4, &
13180d0/27d0 + 16d0*Lmu**3 + Lmu**2*(-568d0 + (272d0*Nf)/27d0) + Nf*(956d0/27d0 - (1664d0*zeta2)/81d0) &
- (6152d0*zeta2)/9d0 + Lmu*(760d0 + (832d0*Nf)/81d0 + (496d0*zeta2)/3d0) + 128d0*zeta3, &
-1868d0/3d0 - 96d0*Lmu**2 + Lmu*(1184d0 - (544d0*Nf)/27d0) - (2368d0*Nf)/243d0 - (880d0*zeta2)/3d0, &
-7328d0/9d0 + 192d0*Lmu + (3296d0*Nf)/243d0, &
-368d0/3d0, 0d0, &
8459221d0/2430d0 + Lmu**3*(110d0/9d0 + (52d0*Nf)/27d0) + Nf**2*(176d0/81d0 - (20d0*zeta2)/9d0) &
- (26663d0*zeta2)/27d0 + Lmu**2*(2719d0/9d0 - (68d0*Nf)/3d0 + (4d0*Nf**2)/9d0 + (134d0*zeta2)/3d0) &
+ Nf*(-539438d0/3645d0 + (15694d0*zeta2)/81d0 - (448d0*zeta3)/27d0) - (1996d0*zeta3)/3d0 + Lmu*(71932d0/27d0 &
+ (20d0*Nf**2)/9d0 + (1240d0*zeta2)/9d0 + Nf*(-31510d0/81d0 + (328d0*zeta2)/9d0) + 440d0*zeta3) + (9433d0*zeta4)/27d0, &
-209393d0/81d0 + Lmu**2*(-638d0/9d0 - (52d0*Nf)/9d0) + Lmu**3*(-268d0/27d0 + (8d0*Nf)/9d0) - (50d0*Nf**2)/27d0 &
+ Nf*(68147d0/243d0 - (139d0*zeta2)/27d0) - (7897d0*zeta2)/9d0 + Lmu*(-1661d0/9d0 + (233d0*Nf)/27d0 &
- (10d0*Nf**2)/9d0 + (2009d0*zeta2)/9d0) - (5420d0*zeta3)/27d0, &
9101d0/162d0 + Lmu**2*(1072d0/27d0 - (32d0*Nf)/9d0) + (196d0*Nf)/243d0 + (14d0*Nf**2)/27d0 &
+ Lmu*(2639d0/27d0 + (94d0*Nf)/27d0) - (17410d0*zeta2)/81d0, &
-2098d0/81d0 + (62d0*Nf)/81d0 + Lmu*(-1273d0/27d0 + (38d0*Nf)/9d0), &
2278d0/135d0 - (68d0*Nf)/45d0/)
!! adding approximate part
inter(17:36)=&
(/ -0.7407407407407407d0, 0d0, 1.481481481481481d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, -0.888888888888889d0, 0d0, 0d0, &
0d0, 0d0, 0.888888888888889d0, 0d0, &
0d0, 0d0, 0d0, 0d0 &
/)*Nf**2*Lmu**2 &
+ &
(/ 0.5636157928346723d0, 0d0, -23.75704876605342d0, -114.690286864508d0, &
0.7142792957647252d0, 0.5223889472233316d0, 20.35136346704535d0, 2.326059361865037d0, &
-0.5197441470014602d0, 10.67348817847094d0, -0.7497591280594782d0, -97.4993763040082d0, &
-0.093906196615571d0, 0.0001780399645960984d0, -6.650053954782045d0, 2.320199276547002d0, &
-10.65138155864157d0, -47.31685060018418d0, -33.4874320212375d0, -15.57543933080464d0 &
/)*Nf**2*Lmu &
+ &
(/ 3.414337658359456d0, 0d0, -84.0542753273584d0, 59.3402867949691d0, &
1.144550252863812d0, 2.616212148227208d0, -74.18787088603881d0, 9.37666301787974d0, &
-3.645619188886469d0, 33.53800010167387d0, -5.065153804386897d0, -20.32597740365196d0, &
4.810071812393534d0, 0.7460590508556081d0, -18.77106819710892d0, -2.083615832667d0, &
58.35585494449029d0, -17.11096422922067d0, -19.92119159550678d0, 34.5740316017998d0 &
/)*Nf**2 &
+ &
(/ 7.62962962962963d0, -6.839506172839506d0, -13.01234567901234d0, 0d0, &
0d0, 0d0, -6.518518518518518d0, -1.777777777777778d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 5.037037037037037d0, 0d0, &
0d0, 0d0, 0d0, 0d0 &
/)*Nf*Lmu**3 &
+ &
(/ 65.37346762620016d0, -42.82328556216403d0, 54.0250799787705d0, 538.8826740221667d0, &
-80.4594328748953d0, -12.90823586085793d0, -80.1184834161452d0, 83.4180424302031d0, &
19.93852532723695d0, 3.653075918549408d0, -4.131464213749346d0, 300.7415243155705d0, &
1.132336463132379d0, -0.002386341489880453d0, -64.51061349772838d0, 19.70259614382838d0, &
-440.6285250002892d0, -122.7291749898257d0, 444.6412720682263d0, 91.927162127918d0 &
/)*Nf*Lmu**2 &
+ &
(/ -282.3532136550358d0, 251.2577557610698d0, -49850.16949703025d0, 44419.81725877749d0, &
15863.64579819813d0, 5127.063994069841d0, -56901.1895039064d0, -11367.03247977978d0, &
-4823.295108040911d0, 12417.62738281787d0, -648.1131137905126d0, -3708.334542142703d0, &
52.9965026053285d0, -1.746245639334127d0, 1152.455710490214d0, -120.0824223909658d0, &
102500.8304536954d0, 21726.86682218281d0, -63639.7071700934d0, -679.5711024908374d0 &
/)*Nf*Lmu &
+ &
(/ -88.3120589194156d0, 13.18214576331104d0, -594154.9688170928d0, -757495.2918850097d0, &
-30553.60285486157d0, 12988.89283071028d0, -536170.411344867d0, 92078.6489688247d0, &
-11635.14004692353d0, 337648.4408288186d0, -41377.27358694826d0, -1326520.34603877d0, &
-5383.620137412952d0, 43.80641360576915d0, -93180.9129088653d0, 6205.65050968152d0, &
-712064.2094648877d0, -622212.285607708d0, -184208.5930160626d0, -277733.5135167261d0 &
/)*Nf &
+ &
(/ -160.4130924335138d0, 146.5690126974587d0, -86.3858663280762d0, -2050.791921050702d0, &
3.447794295933421d0, 10.5355676880081d0, 536.9101205974475d0, 173.8535665701977d0, &
-10.48419474018043d0, 450.1383327181006d0, -68.11827909917163d0, -1658.244415702145d0, &
-1.631379760345229d0, 0.003107922662538578d0, -590.8330986993532d0, 80.5172202146855d0, &
-178.1157935509735d0, -961.73185603907d0, -600.7909638523823d0, -302.2943696278728d0 &
/)*Lmu**3 &
+ &
(/ -657.1056632965489d0, 949.997940469449d0, -99114.8139233635d0, -282458.7034499582d0, &
7816.463195421571d0, 2175.614369254061d0, -3374.800913514458d0, -2343.918792440078d0, &
-2694.849564365941d0, 53370.86916154663d0, -6053.299693276865d0, -266792.7894712356d0, &
-740.1008734457068d0, -57.2908916668831d0, -11382.68271344407d0, 542.4885094921885d0, &
-35731.57698749715d0, -96643.6912193701d0, -99121.3097733965d0, -52016.88503870794d0 &
/)*Lmu**2 &
+ &
(/ 2247.313081964251d0, -2064.734546962189d0, 3788065.882815681d0, -8240003.6464363d0, &
-1491642.482009701d0, -480584.0737818051d0, 5805562.648971923d0, 1136368.18905364d0, &
453944.1741323838d0, -506634.6475187414d0, -10902.06808675353d0, -3237700.365394747d0, &
-12567.68787680968d0, 123.3430808010683d0, -364244.1588954045d0, 14568.90754039434d0, &
-10717152.81775454d0, -3608358.633786783d0, 5062152.137069569d0, -590025.9646190657d0 &
/)*Lmu &
+ &
(/ 7512.490136174404d0, -8543.44043875134d0, 64761335.97261077d0, -119463549.0408237d0, &
-28239838.72543035d0, -8167133.39666084d0, 84982570.8744558d0, 24207022.0098218d0, &
7923948.548020599d0, -7308378.023412827d0, -342922.0467254429d0, -61172120.24114317d0, &
-228678.0131569034d0, 603.0841688422133d0, -6749012.417939758d0, 241818.7328658158d0, &
-205053697.1615032d0, -68592149.18260267d0, 97316011.9430667d0, -10988747.36681864d0 /)
Coeff_g_q=Coeff_g_q+alpha**3*inter
end if
end if
end if
end subroutine Set_Coeff_g_q
!!!!!coefficient function g->g
subroutine Set_Coeff_g_g(alpha,Nf,Lmu)
real(dp),intent(in)::alpha,Nf,Lmu
real(dp),dimension(36)::inter
!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_g_g=0d0
if(order_global>=1) then
Coeff_g_g=Coeff_g_g+alpha*(/&
0d0,0d0,0d0,0d0,0d0,& !Log[1-z], log[1-z]^2, log[1-z]^3 !exact
-12d0*Lmu,24d0,0d0,0d0,0d0,0d0,& !1/z, log[z]/z, Log[z]^2/z, Log[z]^3/z !exact
-24d0,0d0,0d0,0d0,0d0,& !Log[z], log[z]^2, Log[z]^3 !exact
24d0*Lmu,-24d0, -12d0*Lmu,& !1 (exact), z, z^2
24d0, 0d0, 0d0, 0d0, 0d0, 0d0, &
24d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0/)
if(order_global>=2) then
inter(1:16)=(/&
-6d0 + 432d0*Lmu - 144d0*Lmu**2 + 2d0*Nf, &
36d0, 0d0, 0d0, 0d0, &
3268d0/3d0 + Lmu**2*(-198d0 - (4d0*Nf)/9d0) + (278d0*Nf)/81d0 - 264d0*zeta2 &
+ Lmu*((412d0*Nf)/27d0 + 36d0*zeta2) - 792d0*zeta3, &
536d0 - 72d0*Lmu**2 - (244d0*Nf)/9d0 + Lmu*(792d0 + (16d0*Nf)/9d0) - 360d0*zeta2, &
-660d0 + 288d0*Lmu - (8d0*Nf)/9d0, &
-240d0, 0d0, 0d0, &
819d0 + Lmu*(-12d0 - 24d0*Nf) - 50d0*Nf + Lmu**2*(-72d0 + (16d0*Nf)/3d0) + 360d0*zeta2, &
33d0 + Lmu*(216d0 - 16d0*Nf) + (22d0*Nf)/3d0, &
-132d0 + (88d0*Nf)/9d0, 0d0, 0d0/)
!! adding approximate part
inter(17:36)=&
(/ 10.66666666666667d0, -6.222222222222222d0, -0.4444444444444445d0, 0d0, &
0d0, 0d0, 5.333333333333333d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0 &
/)*Nf*Lmu**2 &
+ &
(/ -17.33333333333333d0, -27.25925925925926d0, 4.592592592592593d0, 16.d0, &
0d0, 0d0, 2.666666666666667d0, -16.d0, &
0d0, 16.d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0 &
/)*Nf*Lmu &
+ &
(/ -90.2222222222222d0, 91.679012345679d0, -32.5679012345679d0, -13.33333333333333d0, &
-8.d0, 0d0, -82.5925925925926d0, 3.777777777777778d0, &
9.77777777777778d0, 17.92592592592593d0, -15.11111111111111d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0 &
/)*Nf &
+ &
(/ 0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0 &
/)*Lmu**3 &
+ &
(/ -60.d0, 264.d0, -198.d0, -72.d0, &
0d0, 0d0, -144.d0, 0d0, &
0d0, -72.d0, 0d0, 0d0, &
0d0, 0d0, 144.d0, 0d0, &
0d0, 0d0, 0d0, 144.d0 &
/)*Lmu**2 &
+ &
(/ -279.7410112522892d0, 574.8705056261445d0, 98500.3117249364d0, -16906.67620658853d0, &
14693.72999953235d0, 1253.195988436447d0, 144380.02002326d0, -21266.64549139968d0, &
-1245.48074947182d0, -54522.79937191731d0, 7779.615507182626d0, 122371.991439455d0, &
225.8518821005868d0, -0.4323281721839349d0, 7765.831766046913d0, -235.7340903559212d0, &
188143.9958801046d0, 82572.1084425476d0, -58461.93292601423d0, 23358.23965947636d0 &
/)*Lmu &
+ &
(/ 2240.309367355737d0, -2493.806551627768d0, 466531.8131690678d0, 880470.4541782d0, &
-9960.13089536834d0, -6632.598005195343d0, 219769.8177162316d0, -23264.42421391567d0, &
5847.172647610648d0, -248422.9396667846d0, 32099.77493932134d0, 1015958.806752651d0, &
1917.614798215426d0, -3.727443698054962d0, 55529.33410550031d0, -2020.392123130384d0, &
337678.9437195499d0, 411807.6388544661d0, 261739.630525951d0, 201008.9653363942d0 /)
Coeff_g_g=Coeff_g_g+alpha*alpha*inter
if(order_global>=3) then
inter(1:16)=(/&
33412d0/3d0 - 864d0*Lmu**3 - (56d0*Nf**2)/9d0 - 4686d0*zeta2 + Nf*(-3280d0/9d0 + (758d0*zeta2)/3d0) &
+ Lmu**2*(-8016d0 + 416d0*Nf + 2160d0*zeta2) - 8784d0*zeta3 + Lmu*(9694d0 - (1570d0*Nf)/3d0 &
- (4d0*Nf**2)/3d0 - 1296d0*zeta2 + 6048d0*zeta3), &
1432d0 - 3456d0*Lmu**2 + 864d0*Lmu**3 + Lmu*(468d0 - 48d0*Nf) - (8d0*Nf**2)/9d0 + Nf*(-164d0/3d0&
- 6d0*zeta2) - 468d0*zeta2, &
176d0 - 432d0*Lmu - (32d0*Nf)/3d0, &
0d0, 0d0,&
-1348136d0/9d0 - (44444d0*zeta2)/3d0 + Lmu**3*(-4270d0 + 88d0*Nf + (8d0*Nf**2)/81d0 + 864d0*zeta2) &
+ Lmu**2*(12532d0 - (640d0*Nf**2)/81d0 - 2178d0*zeta2 + Nf*(388d0 + 20d0*zeta2) - 3456d0*zeta3) &
+ Nf**2*(-13064d0/2187d0 - (32d0*zeta3)/27d0) - 43728d0*zeta3 + 14472d0*zeta2*zeta3 + Nf*(296404d0/729d0 &
+ (910d0*zeta2)/9d0 + (65864d0*zeta3)/81d0 - (16504d0*zeta4)/27d0) + 89892d0*zeta4 + Lmu*(16928d0/3d0 &
- (3364d0*Nf**2)/243d0 - 20682d0*zeta2 - 3432d0*zeta3 + Nf*(3490d0/27d0 + (1720d0*zeta2)/3d0 + (1328d0*zeta3)/27d0) &
+ 3753d0*zeta4) + 117072d0*zeta5, &
-369056d0/9d0 + (14960d0*Nf**2)/729d0 + Lmu**3*(-1584d0 + (256d0*Nf)/9d0) + Lmu**2*(24168d0 - (800d0*Nf)/3d0 &
- 4968d0*zeta2) + 15964d0*zeta2 + Nf*(-355168d0/243d0 - (16852d0*zeta2)/27d0 - (45664d0*zeta3)/81d0) + 20592d0*zeta3 &
+ Lmu*(-24976d0 + (1096d0*Nf**2)/81d0 + Nf*(-38060d0/27d0 - 160d0*zeta2) + 1584d0*zeta2 + 1728d0*zeta3) + 60318d0*zeta4, &
14792d0 - 144d0*Lmu**3 + Lmu**2*(8712d0 - (368d0*Nf)/3d0) + (368d0*Nf**2)/243d0 - 1188d0*zeta2 + Nf*(30064d0/81d0 &
+ (2968d0*zeta2)/9d0) + Lmu*(-37548d0 - (248d0*Nf)/9d0 - (16d0*Nf**2)/27d0 + 6048d0*zeta2) + 11232d0*zeta3, &
57392d0/3d0 + 864d0*Lmu**2 + (11056d0*Nf)/81d0 + (64d0*Nf**2)/243d0 + Lmu*(-14784d0 + (1408d0*Nf)/9d0) - 1584d0*zeta2, &
8008d0 - 1584d0*Lmu - (2000d0*Nf)/27d0, &
864d0,&
-358958d0/15d0 + Lmu**3*(-432d0 + (176d0*Nf)/9d0 - (32d0*Nf**2)/27d0) - 23309d0*zeta2 + Lmu**2*(-5592d0 &
- (416d0*Nf**2)/27d0 - 1512d0*zeta2 + Nf*(1856d0/3d0 + (688d0*zeta2)/9d0)) + Nf**2*(106760d0/729d0 &
- (224d0*zeta2)/81d0 - (256d0*zeta3)/27d0) + 22992d0*zeta3 + Lmu*(-9161d0 - 8748d0*zeta2 + Nf**2*(44d0/3d0 &
+ (128d0*zeta2)/9d0) - 12960d0*zeta3 + Nf*(23080d0/9d0 + 1412d0*zeta2 + (9280d0*zeta3)/9d0)) &
+ Nf*(-5193724d0/1215d0 + (21470d0*zeta2)/27d0 - (6176d0*zeta3)/9d0 - (36038d0*zeta4)/27d0) + 26154d0*zeta4, &
60007d0/3d0 + Lmu**3*(144d0 - (512d0*Nf)/27d0) + Lmu**2*(1296d0 - (304d0*Nf)/9d0 + (32d0*Nf**2)/9d0) &
+ Nf**2*(1252d0/81d0 - (160d0*zeta2)/27d0) + 18813d0*zeta2 + Lmu*(2913d0 + (476d0*Nf**2)/9d0 - 2376d0*zeta2 &
+ Nf*(-600d0 + (2012d0*zeta2)/9d0)) + Nf*(-74588d0/27d0 - (13850d0*zeta2)/9d0 - (20480d0*zeta3)/27d0) + 8640d0*zeta3, &
1078d0/3d0 - (6584d0*Nf**2)/243d0 + Lmu**2*(-576d0 + (2048d0*Nf)/27d0) + Lmu*(-1056d0 + (1336d0*Nf)/27d0 &
- (80d0*Nf**2)/27d0) + Nf*(320d0/9d0 - (18292d0*zeta2)/81d0) + 2556d0*zeta2, &
380d0 + Lmu*(684d0 - (2432d0*Nf)/27d0) - (4880d0*Nf)/81d0 + (32d0*Nf**2)/27d0, &
-1224d0/5d0 + (4352d0*Nf)/135d0/)
!! adding approximate part
inter(17:36)=&
(/ -2.37037037037037d0, 1.382716049382716d0, 0.098770222833092d0, 0.000011159806893806d0, &
0.000001004100655547748d0, 0.000000127014851064703d0, -1.18518201034838d0, -0.000001424067177349293d0, &
-0.0000001258395886513513d0, -0.000003276353875186778d0, 0.000000448835616923528d0, 0.00001471247323269422d0, &
0.00000003361801306211853d0, 0d0, 0.000000925277778956665d0, -0.00000003519234724515344d0, &
0.00001283159361429818d0, 0.000007768462488228145d0, -0.000001013017711806273d0, 0.000002923597830270614d0 &
/)*Nf**2*Lmu**3 &
+ &
(/ -14.06767929017998d0, 21.96891385808121d0, -15.89092209240415d0, -19.80088472529534d0, &
0.1264935395409149d0, 0.06630172193079419d0, -23.90510287233405d0, 3.777787519548987d0, &
-0.06596785872193972d0, 7.803967793585022d0, -0.3400858432420004d0, -14.08240285264944d0, &
-0.00827372171918381d0, 0.00001614242876324227d0, -4.939496071950172d0, 0.00864170053479284d0, &
-2.701967817343956d0, -7.946599694773181d0, -5.380461511880785d0, -5.940168778296059d0 &
/)*Nf**2*Lmu**2 &
+ &
(/ -25.71569702237576d0, 44.00376286599716d0, 35.33369426957128d0, 56.39524651486034d0, &
-4.502218081001542d0, -0.6479737557458931d0, -64.6548567877701d0, 62.90455668999473d0, &
-2.318034113902678d0, -20.51728433052833d0, -9.14804719528548d0, 71.3539161983945d0, &
0.1424794032714387d0, -0.0002581820133292093d0, 20.36313136200403d0, -0.1484096854549835d0, &
-21.45234664879611d0, 61.37343238352857d0, 22.74552126493332d0, -12.3532580953806d0 &
/)*Nf**2*Lmu &
+ &
(/ 141.148232736005d0, -95.3128079259175d0, 6508.50433824943d0, -11404.46853317076d0, &
-2170.813705189179d0, -711.8743818845938d0, 9442.97795535667d0, 1600.933344444275d0, &
646.6908092458101d0, -1324.134349211874d0, 89.6278996146028d0, -3695.006680043618d0, &
-14.64319341669314d0, 0.2239409893960292d0, -469.543301968524d0, 14.6364777640893d0, &
-15338.53359030546d0, -4860.108146349047d0, 7709.271424817477d0, -627.6595290161756d0 &
/)*Nf**2 &
+ &
(/ -172.595080226752d0, 113.9284135600853d0, 29.40741319355071d0, -145.2108985942667d0, &
0.927508188584403d0, 0.4862089489718969d0, 11.75718263775316d0, 46.66696948719485d0, &
-0.4837606899502576d0, 28.78561062551428d0, -2.494084831853074d0, -103.2756989946684d0, &
-0.06068676645317499d0, 0.0001184067028150685d0, -36.22324912986327d0, 0.06338592485104062d0, &
-19.81698577530389d0, -58.27718865537964d0, -39.45738831248227d0, -43.56223033361428d0 &
/)*Nf*Lmu**3 &
+ &
(/ -521.8440793016026d0, 12.68460676681684d0, -2846.589259287547d0, -5032.676598723855d0, &
200.0837207317805d0, 58.76703893274783d0, -2787.661707896367d0, 329.1402236175395d0, &
-259.9065554890753d0, 1890.098727784896d0, -189.8173625679829d0, -6175.973123552074d0, &
-10.09285565694887d0, 0.02016956184053099d0, -805.063503267903d0, 10.55151045754024d0, &
-1149.241078201772d0, -2283.288294268265d0, -2084.55867202432d0, -1573.350676702808d0 &
/)*Nf*Lmu**2 &
+ &
(/ 7024.224488662514d0, -8629.35875810713d0, 1403912.626424755d0, -1542929.523541944d0, &
-575117.3702890039d0, -174041.689869655d0, 1560221.036947493d0, 447074.2822628863d0, &
164046.124049478d0, -237883.8515665282d0, 3231.93244747367d0, -352846.8547015837d0, &
-2066.604551414853d0, 1.326317458303211d0, -83194.9325554947d0, 2175.611858784177d0, &
-3997446.679976734d0, -1054972.866721067d0, 2287986.545290107d0, -39710.18760624288d0 &
/)*Nf*Lmu &
+ &
(/ 2948.230451725987d0, -2777.32803261064d0, 21201613.35037818d0, -38252741.90918029d0, &
-10061259.70280802d0, -2849410.917152781d0, 26546295.49570175d0, 8729292.82691174d0, &
2761540.787797181d0, -1975576.787447185d0, -209128.6568235917d0, -20987735.95055125d0, &
-66641.06526896606d0, 156.5315324981517d0, -2296439.180040667d0, 69997.0195932957d0, &
-73547416.08425741d0, -24198573.07737947d0, 35389840.45566951d0, -3656090.424819286d0 &
/)*Nf &
+ &
(/ 1244.d0, -58.44606751373521d0, 7817.024083457056d0, -15998.21389720417d0, &
820.248129924413d0, 106.3313568278863d0, 23222.4318088485d0, -2197.253583937838d0, &
-105.6014781672134d0, 72.37508965017935d0, 243.4904473784848d0, -2716.346928978553d0, &
-1933.286216701912d0, 0.2547664151648843d0, -1706.636246338726d0, 211.3092868543732d0, &
22530.64338919176d0, -9982.5166488381d0, -6836.213215660682d0, 7237.178285971703d0 &
/)*Lmu**3 &
+ &
(/ -3074.927441799292d0, 2980.70314781489d0, -861094.315681024d0, -7468106.30198839d0, &
613894.1657340072d0, 107292.1920072101d0, 2589972.393349052d0, -567374.431570414d0, &
-100860.2800804339d0, 340017.1326768026d0, -24637.4294232969d0, -4151497.84525888d0, &
-14192.867302156d0, 19.27339925711047d0, -186552.2567902433d0, 16358.08025106746d0, &
3737445.889579132d0, -540707.4102660059d0, -4217773.263974477d0, -890036.377579409d0 &
/)*Lmu**2 &
+ &
(/ -35526.50283321828d0, 66775.68102945786d0, -23915778.58198381d0, 67421634.7101927d0, &
20675707.57218081d0, 5749963.30423457d0, -28431334.71493001d0, -18158774.33909346d0, &
-5450099.730722335d0, -4501877.377109695d0, 1573930.360408537d0, 49186811.91115152d0, &
135463.1757548603d0, -49.94939544939731d0, 5155946.98252893d0, -145355.929979583d0, &
163139150.4456324d0, 54590484.27248965d0, -77456050.63912585d0, 8413486.94652415d0 &
/)*Lmu &
+ &
(/ -153060.7077882481d0, 117839.1362430865d0, -708331352.1466121d0, 1313443641.284707d0, &
338138794.3452719d0, 95757922.3419418d0, -896185690.700743d0, -294966108.0876507d0, &
-92944471.8651479d0, 62743651.11969659d0, 7523465.894613073d0, 733203694.7834501d0, &
2272007.263742887d0, -5120.54727691242d0, 78504896.3023709d0, -2380504.37157665d0, &
2481164166.948918d0, 824176638.482638d0, -1182178627.466786d0, 128423037.2446708d0 /)
Coeff_g_g=Coeff_g_g+alpha**3*inter
end if
end if
end if
end subroutine Set_Coeff_g_g
!!!!!coefficient function q->qb
subroutine Set_Coeff_q_qb(alpha,Nf,Lmu)
real(dp),intent(in)::alpha,Nf,Lmu
real(dp),dimension(1:36)::inter
!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_q_qb=0d0
if(order_global>=2) then
inter(1:16)=(/&
0d0, 0d0, 0d0, 0d0, 0d0,&
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, &
-76d0/9d0 + (16d0*Lmu)/9d0, -32d0/9d0 + (8d0*Lmu)/9d0, -4d0/3d0, 0d0, 0d0/)
!! adding approximate part
inter(17:36)=&
(/ 0.6312283256031531d0, -0.6312283256031531d0, -4580.347899925276d0, 807.106771894687d0, &
-738.4036480604117d0, -67.49444738534267d0, -6777.122844130754d0, 1092.195491192707d0, &
67.0774528348277d0, 2607.474064690944d0, -365.4074734972551d0, -5913.21970907602d0, &
-10.37812662249473d0, 0.01971081422236078d0, -445.8789462154352d0, 10.82908318540305d0, &
-9212.6601491564d0, -4142.949072008643d0, 2974.875729429869d0, -1043.097463614533d0 &
/)*Lmu &
+ &
(/ -11.33431535673512d0, 11.33431535673512d0, -23740.33736018912d0, -38882.63915834897d0, &
298.1657052883564d0, 299.3121742152986d0, -13657.50552870465d0, 1365.993202294593d0, &
-296.0828164359113d0, 12537.23117008013d0, -1615.279077617758d0, -48138.96143497134d0, &
-90.2482066088453d0, 0.1803196905087639d0, -2604.045768441197d0, 94.3488194748237d0, &
-18239.5071484197d0, -19901.49348792259d0, -11097.07970830333d0, -9559.03746371398d0 /)
Coeff_q_qb=Coeff_q_qb+alpha*alpha*inter
if(order_global>=3) then
inter(1:16)=(/&
0d0, 0d0, 0d0, 0d0, 0d0,&
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, &
-105152d0/243d0 + Lmu**2*(848d0/27d0 - (32d0*Nf)/27d0 - (128d0*zeta2)/9d0) + (28336d0*zeta2)/81d0 &
- (11408d0*zeta3)/81d0 + Nf*(5312d0/729d0 + (416d0*zeta2)/243d0 + (256d0*zeta3)/81d0) + &
Lmu*(-304d0/9d0 + Nf*(256d0/81d0 - (32d0*zeta2)/27d0) + (2368d0*zeta2)/27d0 + (32d0*zeta3)/3d0) + (17468d0*zeta4)/81d0,&
-28324d0/243d0 + Lmu**2*(296d0/27d0 - (16d0*Nf)/27d0) + Lmu*(160d0/27d0 + (80d0*Nf)/81d0 - (56d0*zeta2)/27d0) &
- (1808d0*zeta2)/81d0 + Nf*(760d0/729d0 + (128d0*zeta2)/81d0) + (4640d0*zeta3)/81d0, &
-14336d0/243d0 + (64d0*Lmu**2)/81d0 + (848d0*Nf)/729d0 + Lmu*(-2872d0/81d0 + (112d0*Nf)/81d0) &
+ (7096d0*zeta2)/243d0, &
6362d0/243d0 - (118d0*Lmu)/81d0 - (188d0*Nf)/243d0, &
38d0/135d0/)
!! adding approximate part
inter(17:36)=&
(/ -0.4208188837354355d0, 0.4208188837354355d0, 3053.565264614416d0, -538.0711856964996d0, &
492.2690983753708d0, 44.99629821999816d0, 4518.081894813376d0, -728.1303269621786d0, &
-44.71830185333048d0, -1738.316041824109d0, 243.6049821550197d0, 3942.146466941939d0, &
6.918751069491326d0, -0.01314054279106719d0, 297.2526304593152d0, -7.219388777554376d0, &
6141.773428155437d0, 2761.966045061251d0, -1983.250486143853d0, 695.3983079326106d0 &
/)*Nf*Lmu**2 &
+ &
(/ 5.287562614924223d0, -5.287562614924223d0, 40032.65009810091d0, 50162.71544064428d0, &
1013.048341009765d0, -266.6072681926599d0, 30762.4672107977d0, -3884.082264379852d0, &
263.5224172913803d0, -21514.77961744444d0, 2828.474088783589d0, 75016.90919125363d0, &
139.2563288638432d0, -0.2762652666563344d0, 4296.016405764685d0, -145.5440541830248d0, &
41619.75546532618d0, 34226.9688862601d0, 9082.46439891241d0, 14647.91143706495d0 &
/)*Nf*Lmu &
+ &
(/ 33.2280777683701d0, -33.2280777683701d0, 60268.01385435927d0, 135320.5734462089d0, &
-6780.000085273504d0, -1906.207470298292d0, 13318.33571592385d0, 2653.379062497121d0, &
1869.507458305548d0, -29362.99464228428d0, 3538.082670852599d0, 132719.3048947568d0, &
249.7336284060741d0, -0.5044005567184639d0, 6277.220033015489d0, -261.1896126584982d0, &
120.0354790985032d0, 42708.81773363323d0, 61733.0610897445d0, 27206.43589638115d0 &
/)*Nf &
+ &
(/ -11.64286011500031d0, 11.64286011500031d0, 1169.041204273986d0, 187395.610866767d0, &
-18688.20298521823d0, -2956.039300577861d0, -93093.7285670373d0, 19432.92223492016d0, &
2936.780588213922d0, 4147.760012435468d0, -1227.113487360397d0, 75156.23777669695d0, &
157.4791091695345d0, -0.3388026718827688d0, 1140.042138233976d0,-165.1196458503607d0, &
-133537.3189552676d0, -8386.89946850796d0, 118124.9196200195d0, 17968.10619379328d0 &
/)*Lmu**2 &
+ &
(/ 182.6086062010662d0, -182.6086062010662d0, -1451218.820913149d0, -1484996.325165111d0, &
-81493.6161396719d0, 1903.298322732097d0, -1298987.256057194d0, 186634.6741278595d0, &
-1948.392880229407d0, 795066.426393997d0, -106006.8149508975d0, -2612881.154481631d0, &
-4862.512545419921d0, 9.61041754053332d0, -156835.6856889807d0, 5081.341900324954d0, &
-1853179.175259212d0, -1289630.793834574d0, -66220.62710693707d0, -503760.1845775154d0 &
/)*Lmu &
+ &
(/ 843.046836311914d0, -843.046836311914d0, -2155652.508517574d0, -7032497.666384911d0, &
136353.2818268123d0, 29268.79881259821d0, 207518.7478904591d0, 7271.359091585319d0, &
-29654.04653319976d0, 1206940.57939385d0, -152692.0144403551d0, -6257567.399358766d0, &
-12393.86698841608d0, 25.19921798389934d0, -316182.6631769422d0, 12966.20907828547d0, &
-1159503.290196366d0, -2284563.872063856d0, -2205576.038848495d0, -1276868.421248799d0 /)
Coeff_q_qb=Coeff_q_qb+alpha**3*inter
end if
end if
!
end subroutine Set_Coeff_q_qb
!!!!!coefficient function q->qp
subroutine Set_Coeff_q_qp(alpha,Nf,Lmu)
real(dp),intent(in)::alpha,Nf,Lmu
real(dp),dimension(1:36)::inter
!!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_q_qp=0d0
if(order_global>=2) then
inter(1:16)=(/&
0d0, 0d0, 0d0, 0d0, 0d0,&
-592d0/81d0 - (16d0*Lmu)/9d0 + (16d0*Lmu**2)/9d0 + (32d0*zeta2)/9d0, &
32d0/9d0 - (64d0*Lmu)/9d0, &
64d0/9d0, 0d0, 0d0, 0d0,&
-48d0 + (8d0*Lmu)/3d0 + (8d0*Lmu**2)/3d0, &
-22d0/3d0 - 8d0*Lmu, &
44d0/9d0, 0d0, 0d0/)
!! adding approximate part
inter(17:36)=&
(/ 1.333333333333333d0, -3.111111111111111d0, 1.777777777777777d0, 0d0, &
0d0, 0d0, 2.666666666666667d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0 &
/)*Lmu**2 &
+ &
(/ 18.66666666666666d0, -16.88888888888889d0, 3.555555555555555d0, 0d0, &
0d0, 0d0, 20.44444444444444d0, -8.d0, &
0d0, -7.111111111111111d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0 &
/)*Lmu &
+ &
(/ -47.43964835652387d0, 48.89963587192772d0, -23.90009978865697d0, 15.40466691328466d0, &
-0.965185716254401d0, 0.07262296876282914d0, -39.37517225992031d0, -10.03914315982873d0, &
4.816460728333691d0, 8.29986892962763d0, 3.676316531404927d0, 1.974956564548119d0, &
0.001617483198892773d0, -0.000002899283277358931d0, 0.00801974542514126d0, -0.001684194761939536d0, &
-4.910186558517016d0, -0.5217142411883789d0, 3.927400138406334d0, 0.4393785792553383d0 /)
Coeff_q_qp=Coeff_q_qp+alpha*alpha*inter
if(order_global>=3) then
inter(1:16)=(/&
0d0, 0d0, 0d0, 0d0, 0d0, &
994024d0/729d0 + Lmu**3*(352d0/9d0 - (64d0*Nf)/81d0) + Nf*(-5696d0/2187d0 - (64d0*zeta2)/27d0) &
- (53056d0*zeta2)/243d0 + Lmu**2*(-3160d0/27d0 + (32d0*Nf)/27d0 + (512d0*zeta2)/27d0) &
+ Lmu*(-1616d0/81d0 + (9472d0*zeta2)/81d0 + Nf*(-2560d0/243d0 + (128d0*zeta2)/27d0) - (832d0*zeta3)/9d0) &
+ (18400d0*zeta3)/81d0 - (4672d0*zeta4)/9d0, &
53536d0/243d0 + (64d0*Lmu**3)/9d0 + Lmu**2*(-736d0/3d0 + (128d0*Nf)/27d0) + Lmu*(3424d0/9d0 &
- (128d0*Nf)/27d0 - (896d0*zeta2)/27d0) + Nf*(5120d0/243d0 - (256d0*zeta2)/27d0) - (21056d0*zeta2)/81d0 &
+ (512d0*zeta3)/9d0, &
-26192d0/81d0 - (128d0*Lmu**2)/3d0 + Lmu*(512d0 - (256d0*Nf)/27d0) + (128d0*Nf)/27d0 - (640d0*zeta2)/27d0, &
-28672d0/81d0 + (256d0*Lmu)/3d0 + (512d0*Nf)/81d0, &
-1472d0/27d0, 0d0, &
320440d0/243d0 + Lmu**3*(176d0/9d0 - (32d0*Nf)/27d0) - 192d0*zeta2 + Lmu**2*(944d0/9d0 - (160d0*Nf)/27d0 &
+ (128d0*zeta2)/3d0) - (128d0*zeta3)/27d0 + Nf*(-14320d0/729d0 + (1264d0*zeta2)/81d0 &
+ (128d0*zeta3)/27d0) + Lmu*(632d0/27d0 + (800d0*zeta2)/9d0 + Nf*(160d0/81d0 + (160d0*zeta2)/9d0) &
+ 320d0*zeta3) - (13624d0*zeta4)/27d0, &
-32668d0/81d0 - (80d0*Lmu**3)/27d0 + Lmu**2*(-224d0/3d0 + (32d0*Nf)/9d0) + Nf*(5224d0/243d0 &
- (400d0*zeta2)/27d0) - (1768d0*zeta2)/9d0 + Lmu*(-1352d0/9d0 + (520d0*Nf)/27d0 &
+ (176d0*zeta2)/9d0) - (1120d0*zeta3)/9d0, &
9584d0/81d0 + (320d0*Lmu**2)/27d0 + Lmu*(2048d0/27d0 - (80d0*Nf)/27d0) - (3296d0*Nf)/243d0&
- (832d0*zeta2)/27d0, &
-422d0/27d0 - (400d0*Lmu)/27d0 + (64d0*Nf)/81d0, &
164d0/27d0/)
!! adding approximate part
inter(17:36)=&
(/ -15.92272853397888d0, 14.7375433487937d0, -2.809720269950975d0, -9.90060175289378d0, &
0.06324098153010965d0, 0.03315049089280369d0, -10.17479919754452d0, 3.666682200538664d0, &
-0.03298356369233423d0, 3.902022251222286d0, -0.1700479037327548d0, -7.041383253842918d0, &
-0.004137301961004627d0, 0.000008072163653291d0, -2.469758695250948d0, 0.004321312746852226d0, &
-1.351094070892633d0, -3.973384126962018d0, -2.690248496393016d0, -2.970121653863334d0 &
/)*Nf*Lmu**2 &
+ &
(/ -1.764899200107591d0, 4.501672677436164d0, 55.92240839009741d0, 174.36321040228d0, &
0.7003581283715121d0, -1.010624198133692d0, -40.99221308545308d0, 8.46222680166079d0, &
-1.957096324638474d0, -27.6047344592595d0, 4.639760179674112d0, 177.298934581469d0, &
-0.884585409737233d0, -0.0001410017335761161d0, 19.8586774740452d0, -0.007336656306480251d0, &
36.71062434080176d0, 85.733750987418d0, 50.59959337818094d0, 21.72214826255193d0 &
/)*Nf*Lmu &
+ &
(/ 23.23012666971167d0, -16.7265426722077d0, 3913.00801120321d0, -7210.791376607022d0, &
-1478.843439702858d0, -474.5723509485138d0, 5611.075659742638d0, 1153.697829516259d0, &
443.4516129755076d0, -605.1719851951998d0, -6.048123478932814d0, -2573.055931690894d0, &
-10.60710548985274d0, -0.0814113502401731d0, -322.0999254578696d0, 10.50613691076134d0, &
-10470.65348715981d0, -3358.830630747482d0, 5258.066870968736d0, -416.3247052712856d0 &
/)*Nf &
+ &
(/ -50.62385675427538d0, 11.51274564316427d0, 16.47344760554195d0, -56.10304195996164d0, &
0.3583751236764752d0, 0.1878530573141386d0, 12.66383673548854d0, 13.66673469561347d0, &
-0.1869071312030261d0, 15.00026560754666d0, -0.963594225269988d0, -39.9007699439714d0, &
-0.02344362953196342d0, 0.00004573973477451334d0, -13.99527557077543d0, 0.02448630111753539d0, &
-7.655981164124812d0, -22.51566249236487d0, -15.24468641154133d0, -16.83060574674116d0 &
/)*Lmu**3 &
+ &
(/ -104.7976135302622d0, 190.6418267811403d0, -844.883340500708d0, 1913.504763720097d0, &
27.55400796696418d0, 11.5375064688754d0, -2122.070322500548d0, 103.8820879199894d0, &
-74.2758034399466d0, 195.8802757288241d0, -64.61177128693396d0, 659.7130409630789d0, &
-1.393327540247528d0, 0.003176213463735356d0, 230.0430566399033d0, 1.464649622585899d0, &
-331.7248167538847d0, 550.6351796236057d0, 296.8658875197295d0, -72.10036355567851d0 &
/)*Lmu**2 &
+ &
(/ 487.990050318583d0, -549.271697112748d0, 474648.0500092148d0, -833698.26433963d0, &
-174068.1825132066d0, -55915.28244634567d0, 671496.8403907737d0, 130428.8804292405d0, &
52568.91815613066d0, -81390.4763296045d0, 2139.664641654064d0, -271531.0321249713d0, &
-947.355817059136d0, 3.473600622239258d0, -35021.91661220942d0, 997.303733117554d0, &
-1217059.335927853d0, -377292.6435242922d0, 621450.3196582047d0, -44529.27346166185d0 &
/)*Lmu &
+ &
(/ 2346.414276468631d0, -3062.021974179683d0, 8113925.46796676d0, -12404996.7648078d0, &
-3358183.769835142d0, -980091.410785803d0, 10007230.71031073d0, 2825332.860697479d0, &
948872.619175596d0, -1157039.067459284d0, -7415.262893026673d0, -5543056.448753328d0, &
-19141.28886353129d0, 32.65309901415864d0, -679686.5014862488d0, 19975.33568850041d0, &
-23859288.73052914d0, -7429104.13534057d0, 12062210.27925168d0, -934221.276497916d0 /)
Coeff_q_qp=Coeff_q_qp+alpha**3*inter
end if
end if
end subroutine Set_Coeff_q_qp
subroutine CheckCoefficient(as,Nf,Lmu,z)
real(dp)::Lmu,as,z,Nf
real(dp), dimension(1:36)::func
real(dp), dimension(1:3)::func1
func=parametrizationString(z)
func1=(/1d0/(1d0-z),Log(1d0-z)/(1d0-z),Log(1d0-z)**2/(1d0-z)/)
! !!Q->Q
! call Set_CoeffSing1_q_q(as,Nf,Lmu)
! call Set_Coeff_q_q(as,Nf,Lmu)
! write(*,*) SUM(Coeff_q_q*func)!+SUM(CoeffSing1_q_q*func1)
! !!Q->G
! call Set_Coeff_q_g(as,Nf,Lmu)
! write(*,*) SUM(Coeff_q_g*func)
! !!Q->Q'
! call Set_Coeff_q_qp(as,Nf,Lmu)
! write(*,*) SUM(Coeff_q_qp*func)
!
! !!Q->Qbar
! call Set_Coeff_q_qb(as,Nf,Lmu)
! write(*,*) SUM(Coeff_q_qb*func)
!
! !! G->Q
! call Set_Coeff_g_q(as,Nf,Lmu)
! write(*,*) SUM(Coeff_g_q*func)
!
!!G->G
! call Set_CoeffSing1_g_g(as,Nf,Lmu)
! call Set_Coeff_g_g(as,Nf,Lmu)
! write(*,*) SUM(Coeff_g_g*func)!+SUM(CoeffSing1_g_g*func1)
end subroutine CheckCoefficient
| 68,327 | 54.777959 | 128 | f90 |
artemide-public | artemide-public-master/src/Code/uTMDFF/convolutions.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of uTMDFF module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Routines for evaluation of TMD distributions------------------------------
!!!-------------------------the actual calculation takes a place in twist2 code---------------------------
!!!-------------------------------------------------------------------------------------------------------
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Convolutions!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
function xf(x,Q,hadron)
real(dp) :: x,Q
integer:: hadron
real(dp), dimension(-5:5):: xf
xf=xFF(x,Q,hadron)
end function xf
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Functions for calculation of convolution!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!! We evaluate the integral II=\int_z^1 dy/y C(z/y) fNP(z,y) d(z)/z^2
!! to make sure that its definition is close to PDF definition we change d(x)->xd(x)/x and evaluate
!! II=1/z**3 \int_z^1 dy C(y) fNP(z,y) xd(z/y)
!! where 1/z \int_z^1 dy C(y) fNP(z,y) xd(z/y) is calculated in the common code.
!! so in the end I devide by extra factor z^2.
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,g,d,u,s, c ,b
!!---Gluon contribution is undefined
!!---Base version: hadron=number of PDF
!---------------------------------------------------------------------
!---------------------------------------------------------------------
function uTMDFF_base5(z,bT,hadron)
real(dp),dimension(-5:5)::uTMDFF_base5
real(dp) :: z, bT
integer::hadron,j
!!! variables for restoration only
real(dp),dimension(-5:5) :: fNP_grid,fNP_current
!!!! if the coefficient function is not used at all. Just return fNP
if(order_global==-50) then
uTMDFF_base5=fNP(z,1d0,bT,hadron,lambdaNP)
!!! in the case the greed has been calculated
else if(gridReady.and. ANY(hadronsInGRID.eq.hadron)) then
uTMDFF_base5=ExtractFromGrid(z,bT,hadron)/z**2
!!!!!!!!!!This is procedure of restoration of function from the initial grid
!!! if fNP is z-independent then the value can be obtained by TMDFF(initial) fNP(current)/fNP(initial)
if(.not.IsFnpZdependent) then
fNP_grid=FNP(z,0d0,bT,hadron,lambdaNP_grid)
fNP_current=FNP(z,0d0,bT,hadron,lambdaNP)
do j=-5,5
if(fNP_grid(j)==0) then
if(fNP_current(j)/=0 .and. ((j/=0).or.(.not.withGluon))) then
if(outputLevel>0) &
call Warning_Raise('error in restoration: original value is zero. TMDFF set to zero. b='//numToStr(bT),&
messageCounter,messageTrigger,moduleName)
end if
uTMDFF_base5(j)=0
else
uTMDFF_base5(j)=uTMDFF_base5(j)*fNP_current(j)/fNP_grid(j)
end if
end do
end if
!!!! finally just calculation
else
uTMDFF_base5=Common_lowScale5(z,bT,hadron)/z**2
end if
end function uTMDFF_base5
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,g,d,u,s, c ,b
!!---Base version: hadron=number of PDF
!---------------------------------------------------------------------
!---------------------------------------------------------------------
function uTMDFF_base50(z,bT,hadron)
real(dp),dimension(-5:5)::uTMDFF_base50
real(dp) :: z, bT
integer::hadron,j
!!! variables for restoration only
real(dp),dimension(-5:5) :: fNP_grid,fNP_current
!!!! if the coefficient function is not used at all. Just return fNP
if(order_global==-50) then
uTMDFF_base50=fNP(z,1d0,bT,hadron,lambdaNP)
!!! in the case the greed has been calculated
else if(gridReady .and. ANY(hadronsInGRID.eq.hadron)) then
uTMDFF_base50=ExtractFromGrid(z,bT,hadron)/z**2
if(.not.IsFnpZdependent) then
fNP_grid=FNP(z,1d0,bT,hadron,lambdaNP_grid)
fNP_current=FNP(z,1d0,bT,hadron,lambdaNP)
do j=-5,5
if(fNP_grid(j)==0) then
if(uTMDFF_base50(j)/=0) then
if(outputLevel>0) &
call Warning_Raise('error in restoration: original value is zero. TMDFF set to zero. b='//numToStr(bT),&
messageCounter,messageTrigger,moduleName)
end if
uTMDFF_base50(j)=0
else
uTMDFF_base50(j)=uTMDFF_base50(j)*fNP_current(j)/fNP_grid(j)
end if
end do
end if
!!!!! finally just calculation
else
uTMDFF_base50=Common_lowScale50(z,bT,hadron)/z**2
end if
end function uTMDFF_base50
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!OUTPUT INTERFACE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,??,d,u,s, c ,b
!!---Gluon contribution is undefined
!!---Full version: hadron=number of PDF (if compositeness OFF)
!!--- hadron=sum components (if compositeness ON)
!---------------------------------------------------------------------
!---------------------------------------------------------------------
function uTMDFF_lowScale5(x,bT,hadron)
real(dp),dimension(-5:5)::uTMDFF_lowScale5
real(dp) :: x, bT
integer::hadron
logical,allocatable::includeInComposition(:)
real(dp),allocatable::compositionCoefficients(:)
integer::j,jN
if(x>1d0) then
uTMDFF_lowScale5=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
return
end if
if(IsComposite) then
uTMDFF_lowScale5=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
call GetCompositionArray(hadron,lambdaNP,includeInComposition,compositionCoefficients)
jN=size(includeInComposition)
do j=1,jN
if(includeInComposition(j)) then
uTMDFF_lowScale5=uTMDFF_lowScale5+compositionCoefficients(j)*uTMDFF_base5(x,bT,j)
end if
end do
deallocate(includeInComposition,compositionCoefficients)
else
uTMDFF_lowScale5=uTMDFF_base5(x,bT,hadron)
end if
end function uTMDFF_lowScale5
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu the GLUON INCLUDED
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,g,d,u,s, c ,b
!!---Full version: hadron=number of PDF (if compositeness OFF)
!!--- hadron=sum components (if compositeness ON)
!---------------------------------------------------------------------
!---------------------------------------------------------------------
function uTMDFF_lowScale50(x,bT,hadron)
real(dp),dimension(-5:5)::uTMDFF_lowScale50
real(dp) :: x, bT
integer::hadron
logical,allocatable::includeInComposition(:)
real(dp),allocatable::compositionCoefficients(:)
integer::j,jN
if(x>1d0) then
uTMDFF_lowScale50=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
return
end if
if(IsComposite) then
uTMDFF_lowScale50=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
call GetCompositionArray(hadron,lambdaNP,includeInComposition,compositionCoefficients)
jN=size(includeInComposition)
do j=1,jN
if(includeInComposition(j)) then
uTMDFF_lowScale50=uTMDFF_lowScale50+compositionCoefficients(j)*uTMDFF_base50(x,bT,j)
end if
end do
deallocate(includeInComposition,compositionCoefficients)
else
uTMDFF_lowScale50=uTMDFF_base50(x,bT,hadron)
end if
end function uTMDFF_lowScale50
| 9,288 | 40.10177 | 133 | f90 |
artemide-public | artemide-public-master/src/Code/uTMDFF/modelTest.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of uTMDPDF module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Routines that test the behaviour of NP model------------------------------
!!!-------------------------------------------------------------------------------------------------------
!!! test FNP for z-dependance
!!! the test consists in the evaluation of FNP at several random sets and NParray
!!! and comparison of the values.
function TestFNP()
logical::TestFNP
real(dp)::xR,bR
real(dp),dimension(-5:5)::test1,test2
integer::h,i,j
real(dp),allocatable::NPtest(:)
allocate(NPtest(1:lambdaNPlength))
call RANDOM_NUMBER(NPtest)
NPtest=3d0*NPtest
TestFNP=.false.
do h=1,numberOfHadrons
do i=1,10
!! generate some random input
call RANDOM_NUMBER(xR)
if(xR>0.99d0) xR=xR/2d0
if(xR<0.00001d0) xR=0.0001d0+xR
call RANDOM_NUMBER(bR)
bR=3d0*bR
test1=FNP(xR,0.9d0,bR,hadronsInGRID(h),NPtest)
do j=1,10
test2=FNP(xR,0.8d0/REAL(j),bR,hadronsInGRID(h),NPtest)
if(SUM(ABS(test1-test2))>1d-10) then
TestFNP=.true.
exit
end if
end do
end do
end do
deallocate(NPtest)
end function TestFNP
!!! test MU for x-dependance
!!! the test consists in the evaluation of FNP at several random sets and NParray
!!! and comparison of the values.
function TestMU()
logical::TestMU
real(dp)::xR,bR
real(dp)::test1,test2
integer::i,j
TestMU=.false.
do i=1,10
call RANDOM_NUMBER(bR)
bR=3d0*bR
!!! generate some random input
call RANDOM_NUMBER(xR)
if(xR>0.99d0) xR=xR/2d0
if(xR<0.00001d0) xR=0.0001d0+xR
test1=mu_OPE(xR,bR)
!!! generate some random input
call RANDOM_NUMBER(xR)
if(xR>0.99d0) xR=xR/2d0
if(xR<0.00001d0) xR=0.0001d0+xR
test2=mu_OPE(xR,bR)
if(ABS(test1-test2)>1d-10) then
TestMU=.true.
exit
end if
end do
end function TestMU
!!! test bSTAR for lambda-dependance
!!! .true. = lambda-dependent
function TestbSTAR()
integer::i,j,k
logical::TestbSTAR
real(dp)::bT,dummy1,dummy2
real(dp),allocatable::NPtest(:)
allocate(NPtest(1:lambdaNPlength))
TestbSTAR=.false.
do i=1,lambdaNPlength
NPtest=0.5d0+0d0*NPtest
do k=0,3
bT=0.1d0+k
dummy1=bSTAR(bT,NPtest)
do j=1,3
NPtest(i)=0.9d0*j
dummy2=bSTAR(bT,NPtest)
if(abs(dummy2-dummy1)>1d-10) then
TestbSTAR=.true.
exit
end if
end do
end do
end do
end function TestbSTAR
| 3,129 | 27.198198 | 106 | f90 |
artemide-public | artemide-public-master/src/Code/uTMDPDF/coeffFunc.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of uTMDPDF module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Routines for the mathing coefficient--------------------------------------
!!!--------------The order is accumulative pertrubative order of coefficient =0,1,2 (LO,NLO,NNLO)---------
!!!-------------------------------------------------------------------------------------------------------
!!! the function which contains the functions of parameterizations
pure function parametrizationString(z)
real(dp),intent(in)::z
real(dp)::lz,l1z,zz
real(dp),dimension(1:parametrizationLength)::parametrizationString
zz=1d0-z
lz=Log(z)
l1z=Log(1d0-z)
parametrizationString=(/&
l1z,l1z**2,l1z**3,l1z**4,l1z**5,&
1d0/z,lz/z,lz**2/z,&
lz,lz**2,lz**3,lz**4,lz**5,& !!!<--- exact part, approximate part --->
1d0,z,z*zz,&
z*(lz/zz+1d0),z*lz**2/zz,z*lz**3/zz,&
z*lz,z*lz**2,z*lz**3,z*lz**4,&
z*zz*lz,z*zz*lz**2,z*zz*lz**3,&
zz*l1z,zz*l1z**2,zz*l1z**3,&
z*zz*l1z,z*zz*l1z**2,z*zz*l1z**3,&
lz*l1z,z*lz*l1z,z*zz*lz*l1z,&
l1z/zz*(1-z**2+2*lz),zz/z*(l1z+z)&
/)
end function parametrizationString
!!! the function which contains
!!! int_z^1 parameterization at values of z -> 1
!!! it is used to estimate integration error at z~1
pure function parametrizationStringAt1(z)
real(dp),intent(in)::z
real(dp)::lz,l1z,zz
real(dp),dimension(1:parametrizationLength)::parametrizationStringAt1
zz=1d0-z
l1z=Log(zz)
parametrizationStringAt1=(/ &
zz*(l1z-1), & !Log[1-x]
zz*(2d0-2d0*l1z+l1z**2),& ! Log^2[1-x]
zz*(-6d0+6d0*l1z-3d0*l1z**2+l1z**3),& !Log^3[1-x]
zz*(24d0 - 24d0*l1z + 12d0*l1z**2 - 4d0*l1z**3 + l1z**4),& !Log^4[1-x]
zz*(-120d0 + 120d0*l1z - 60d0*l1z**2 + 20d0*l1z**3 - 5d0*l1z**4 + l1z**5),& !Log^5[1-x]
zz,& !1/x
0d0, 0d0, &! log[x]/x, log[x]^2/x
0d0,0d0,0d0,0d0,0d0,& !!log[x],Log[x]^2,Log[x]^3,Log[x]^4,Log[x]^5
zz, zz, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0 /) !!! rest
end function parametrizationStringAt1
!!!!Each coefficient is split to delta, sing x->1, regular
!!!!!coefficient function q<-q delta-part
pure function C_q_q_delta(alpha,Nf,Lmu)
real(dp),intent(in)::alpha,Nf,Lmu
real(dp)::C_q_q_delta
C_q_q_delta=1d0
if(order_global>=1) then
!!!checked (3.12.17) AV!!!
C_q_q_delta=C_q_q_delta+alpha*(-4d0/3d0*zeta2-4d0*Lmu)
if(order_global>=2) then
!!!checked (3.12.17) AV!!!
C_q_q_delta=C_q_q_delta+alpha*alpha*(&
-2416d0/81d0-134d0/3d0*zeta2+448d0/9d0*zeta3+200d0/9d0*zeta4+&
Nf*(352d0/243d0+20d0/9d0*zeta2+56d0/27d0*zeta3)+&
Lmu*(-14d0-140d0/3d0*zeta2+16d0/3d0*zeta3+Nf*(4d0/9d0+40d0/9d0*zeta2))+&
Lmu**2*(-14d0+4d0/3d0*Nf-128d0/9d0*zeta2))
if(order_global>=3) then
C_q_q_delta=C_q_q_delta+alpha**3*(&
Nf**2*(2800d0/19683d0 - (496d0*zeta2)/81d0 - (3712d0*zeta3)/729d0 - (88d0*zeta4)/81d0)&
+Nf*(212644d0/6561d0 + (224116d0*zeta2)/729d0 + (83452d0*zeta3)/729d0 - (5960d0*zeta2*zeta3)/81d0 &
- (1988d0*zeta4)/81d0 - (8144d0*zeta5)/81d0)&
-578966d0/2187d0 - (667234d0*zeta2)/243d0 + (13954d0*zeta3)/81d0 + (30212d0*zeta2*zeta3)/27d0 &
-(244d0*zeta3**2)/3d0 + (12796d0*zeta4)/9d0 - (1576d0*zeta5)/3d0 - (59468d0*zeta6)/81d0&
+Lmu*(&
Nf**2*(428d0/729d0 - (560d0*zeta2)/81d0 - (32d0*zeta3)/81d0)&
+ Nf*(6496d0/243d0 + (80536d0*zeta2)/243d0 - (112d0*zeta3)/3d0 - (1064d0*zeta4)/9d0)&
-5947d0/27d0 - (232612d0*zeta2)/81d0 + (35200d0*zeta3)/27d0 + (15680d0*zeta2*zeta3)/27d0&
+ (3364d0*zeta4)/3d0 - (4960d0*zeta5)/9d0)&
+Lmu**2*(-302d0 + Nf**2*(-8d0/27d0 - (80d0*zeta2)/27d0) - (26476d0*zeta2)/27d0 &
+ Nf*(340d0/9d0 + (7744d0*zeta2)/81d0 - (32d0*zeta3)/9d0) + (112d0*zeta3)/3d0 + (12800d0*zeta4)/27d0)&
+Lmu**3*(-84d0 - 16d0*Nf**2/27d0 - 896d0*zeta2/9d0 + Nf*(128d0/9d0 + 256d0*zeta2/27d0) - 4096d0*zeta3/81d0)&
)
end if
end if
end if
end function C_q_q_delta
!!!!!coefficient function g<-g delta-part
pure function C_g_g_delta(alpha,Nf,Lmu)
real(dp),intent(in)::alpha,Nf,Lmu
real(dp)::C_g_g_delta
C_g_g_delta=1d0
if(order_global>=1) then
!!!checked (20.11.17) AV!!!
C_g_g_delta=C_g_g_delta+alpha*(-3d0*zeta2-(11d0-2d0/3d0*Nf)*Lmu)
if(order_global>=2) then
!!!checked (23.06.22) AV!!!
C_g_g_delta=C_g_g_delta+alpha*alpha*(&
-112d0 - 56d0*Nf**2/81d0 - 201d0*zeta2/2d0 - 72d0*Lmu**2*zeta2 +&
Lmu*(-96d0 + 32d0*Nf/3d0 - 108d0*zeta3) + Nf*(548d0/27 + 5d0*zeta2 - 28d0*zeta3/3d0) + 154d0*zeta3 + 225d0*zeta4/4d0)
if(order_global>=3) then
C_g_g_delta=C_g_g_delta+alpha**3*(&
Nf**3*(-752d0/2187d0 + (16d0*zeta3)/27d0)&
+ Nf**2*(-73577d0/2187d0 - (200d0*zeta2)/81d0 - (368d0*zeta3)/81d0 - (20d0*zeta4)/9d0)&
+ Nf*(1033259d0/1458d0 + (27305d0*zeta2)/81d0 - (17762d0*zeta3)/81d0 + (122d0*zeta2*zeta3)/3d0 &
- (2767d0*zeta4)/18d0 + (556d0*zeta5)/9d0)&
-698456d0/243d0 - (213865d0*zeta2)/54d0 + (1489d0*zeta3)/9d0 + 429d0*zeta2*zeta3 + 2337d0*zeta3**2&
+ (15395d0*zeta4)/4d0 - 2046d0*zeta5 - (28783d0*zeta6)/16d0&
+Lmu*((112d0*Nf**3)/243d0&
+Nf**2*(-4471d0/162d0 - (10d0*zeta2)/3d0 + (56d0*zeta3)/9d0)&
+Nf*(25175d0/54d0 + (904d0*zeta2)/3d0 + (104d0*zeta3)/3d0 - (15d0*zeta4)/2d0)&
-4597d0/2d0 - (8855d0*zeta2)/2d0 - 3130d0*zeta3 + 3780d0*zeta2*zeta3 + (495d0*zeta4)/4d0 + 2160d0*zeta5)&
+ Lmu**2*(-561d0 - (38d0*Nf**2)/9d0 - 3216d0*zeta2 + Nf*(311d0/3d0 + 160d0*zeta2) + 2700d0*zeta4)&
- Lmu**3*576d0*zeta3&
)
end if
end if
end if
end function C_g_g_delta
!!!!!coefficient function q<-q singular-part (1/(1-x)_+,(Log(1-x)/(1-x))_+)
subroutine Set_CoeffSing1_q_q(alpha,Nf,Lmu)
real(dp),intent(in)::Nf,alpha,Lmu
real(dp)::s1,s2,s3
s1=0d0!!!coeff 1/(1-x)
s2=0d0!!!coeff log(1-x)/(1-x)
s3=0d0!!!coeff log(1-x)^2/(1-x)
if(order_global>=1) then
!!!checked (20.11.17) AV!!!
s1=s1+alpha*(-16d0/3d0)*Lmu
if(order_global>=2) then
!!!checked (21.11.17) AV!!!
s1=s1+alpha*alpha*(&
-3232d0/27d0+112d0*zeta3+448d0/81d0*Nf+&
Lmu*(-1072d0/9d0+352d0/9d0*zeta2+160d0/27d0*Nf)+&
Lmu**2*(-8d0+16d0/9d0*Nf))
s2=s2+alpha*alpha*(256d0/9d0*(Lmu**2))
if(order_global>=3) then
s1=s1+alpha**3*(&
Nf**2*(-7424d0/2187d0 - (128d0*zeta3)/27d0)&
+ Nf*(332632d0/729d0 - (11680d0*zeta2)/243d0 - (15712d0*zeta3)/81d0 - (16d0*zeta4)/9d0)&
-1188116d0/243d0 + (89632d0*zeta2)/81d0 + (49312d0*zeta3)/9d0 - (2560d0*zeta2*zeta3)/3d0&
+ 616d0*zeta4 - 2304d0*zeta5&
+Lmu*(&
- (1600d0*Nf**2)/243d0&
+ Nf*(321104d0/729d0 - (7360d0*zeta2)/81d0 - (5504d0*zeta3)/81d0)&
-961208d0/243d0 + (49312d0*zeta2)/27d0 + (37760d0*zeta3)/27d0 - (34592d0*zeta4)/27d0)&
+Lmu**2*(&
-9280d0/9d0 - (320d0*Nf**2)/81d0 + Nf*(4112d0/27d0 - (1280d0*zeta2)/27d0) + 512d0*zeta2 - (256d0*zeta3)/9d0)&
+Lmu**3*(&
-208d0/9d0 + (320d0*Nf)/27d0 - (64d0*Nf**2)/81d0 + (2048d0*zeta2)/27d0)&
)
s2=s2+alpha**3*(&
Lmu**3*(1792d0/9d0 - (512d0*Nf)/27d0) &
+ Lmu**2*(34304d0/27d0 - (5120d0*Nf)/81d0 - (10240d0*zeta2)/27d0) &
+ Lmu*(103424d0/81d0 - (14336d0*Nf)/243d0 - (3584d0*zeta3)/3d0)&
)
s3=s3+alpha**3*(-2048d0/27d0*Lmu**3)
end if
end if
end if
CoeffSing1_q_q=(/s1,s2,s3/)
end subroutine Set_CoeffSing1_q_q
!!!!!coefficient function g<-g singular-part (1/(1-x)_+,(Log(1-x)/(1-x))_+)
subroutine Set_CoeffSing1_g_g(alpha,Nf,Lmu)
real(dp),intent(in)::Nf,alpha,Lmu
real(dp)::s1,s2,s3
s1=0d0!!!coeff 1/(1-x)
s2=0d0!!!coeff log(1-x)/(1-x)
s3=0d0!!!coeff log(1-x)^2/(1-x)
if(order_global>=1) then
!!!checked (20.11.17) AV!!!
s1=s1+alpha*(-12d0)*Lmu
if(order_global>=2) then
!!!checked (23.06.22) AV!!!
s1=s1+alpha*alpha*(&
-808d0/3d0 + Lmu**2*(66d0 - 4d0*Nf) + 112d0*Nf/9d0 + Lmu*(-268d0 + 40d0*Nf/3d0 + 108d0*zeta2) + 252d0*zeta3)
s2=s2+alpha*alpha*144d0*(Lmu**2)
if(order_global>=3) then
s1=s1+alpha**3*(&
Nf**2*(-1856d0/243d0 - (32d0*zeta3)/3d0) &
+Nf*(83158d0/81d0 - (1160d0*zeta2)/9d0 - (3928d0*zeta3)/9d0 - 4d0*zeta4) &
-297029d0/27d0 + (8816d0*zeta2)/3d0 + 12328d0*zeta3 - 2340d0*zeta2*zeta3 + 1386d0*zeta4 - 5184d0*zeta5 &
+Lmu*(-18086d0/3d0 + (16d0*Nf**2)/9d0 + 5226d0*zeta2 + 132d0*zeta3 + &
Nf*(4484d0/9d0 - 260d0*zeta2 + 152d0*zeta3) - 3591d0*zeta4) &
+Lmu**2*(540d0 + Nf*(-52d0 - 12d0*zeta2) + 198d0*zeta2 + 1296d0*zeta3) &
+Lmu**3*(242d0 - (88d0*Nf)/3d0 + (8d0*Nf**2)/9d0 + 864d0*zeta2) &
)
s2=s2+alpha**3*(&
Lmu**2*(6432d0 - 320d0*Nf - 2160d0*zeta2) + Lmu*(6464d0 - (896d0*Nf)/3 - 6048d0*zeta3))
s3=s3+alpha**3*(-864d0*Lmu**3)
end if
end if
end if
CoeffSing1_g_g=(/s1,s2,s3/)
end subroutine Set_CoeffSing1_g_g
!!!!!coefficient function q<-q regular-part
subroutine Set_Coeff_q_q(alpha,Nf,Lmu)
real(dp),intent(in)::alpha,Nf,Lmu
real(dp),dimension(1:37)::inter
!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_q_q=0d0
if(order_global>=1) then
!!! checked AV(24.06.22) !!!!!
Coeff_q_q=Coeff_q_q+alpha*(/&
0d0,0d0,0d0,0d0,0d0,& !log(1-x),log(1-x)^2,log(1-x)^3,log(1-x)^4,log(1-x)^5
0d0,0d0,0d0,& !1/x, Log(x)/x,Log(x)^2/x
0d0,0d0,0d0,0d0,0d0, & !Log(x),Log^2(x),Log^3(x), Log^4(x),Log^5(x)
8d0/3d0*(1d0+Lmu),8d0/3d0*(Lmu-1d0),0d0,& !1,x,x(1-x)
0d0,0d0,0d0,& !!
0d0,0d0,0d0,& !!
0d0,0d0,0d0,& !!
0d0,0d0,0d0,& !!
0d0,0d0,0d0,& !!
0d0,0d0,0d0,& !!
0d0,0d0,0d0/) !!
!------The kernels are calculated in mathematica
if(order_global>=2) then
!!! checked AV(24.06.22) !!!!!
inter(1:13)=(/&!!!exact part
200d0/9d0 - 256d0*Lmu/9d0 - 256d0*Lmu**2/9d0, & !Log[1-x]
-64d0/9d0, & !Log[1-x]^2
0d0,0d0,0d0,& !log(1-x)^3,log(1-x)^4,log(1-x)^5
0d0,0d0,0d0,& !1/x, Log(x)/x, Log[x]^2/x
-8d0 - 32d0*Lmu**2/9d0 + 40d0*Nf/27d0 + Lmu*(-152d0/9d0 + 16d0*Nf/9d0), & !log[x]
-2d0 - 40d0*Lmu/9d0 + 4d0*Nf/9d0, & !log[x]^2
-20d0/27d0,& !Log^3(x)
0d0,0d0/) !Log[x]^4, Log[x]^5
inter(14:37)= & !!!! approximate part computed by Mathematica
(/ -0.8888888888888888d0, -0.8888888888888888d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0&
/)*Nf*Lmu**2+ &
(/ -1.1851851851851851d0, -8.296296296296296d0, 0d0, 3.5555555555555554d0, &
0d0, 0d0, -1.7777777777777777d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0,&
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0&
/)*Nf*Lmu+ &
(/ -3.654320987654321d0, -4.839506172839506d0, 0d0, 2.962962962962963d0,&
0.8888888888888888d0, 0d0, -1.4814814814814814d0, -0.4444444444444444d0,&
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0,0d0, 0d0&
/)*Nf+ &
(/ -3.111111111111111d0, 25.33333333333333d0, 0d0, -14.22222222222222d0, &
0d0, 0d0, 10.66666666666667d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, &
14.22222222222222d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0&
/)*Lmu**2+ &
(/ -10.83426619614309d0, 102.9435115816347d0, 0d0, -37.33333333333333d0,&
-16.d0, 0d0, 20.44444444444444d0, 11.55555555555556d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, -14.22222222222222d0, &
-14.22222222222222d0, 0d0, 14.22222222222222d0, 0d0&
/)*Lmu+ &
(/ -16.25120354435739d0, 16.80921296761507d0, 16.78735273864289d0, -52.22420869683257d0,&
-22.69342916833946d0, -3.6302702106995186d0, 25.456722241267812d0, 13.658111372360185d0,&
2.3426085161446135d0, -0.00166793644872697d0, 15.01420012799732d0, -1.7721235693713506d0, &
0.4888403083888631d0, -35.198475130364784d0, 0.7192197295856515d0, -0.042415863348287605d0,&
-4.268366809337707d0, 2.834812467714212d0, 0.042367879919478484d0, -30.03064725982577d0, &
-18.74489662606933d0, -4.661172640767598d0, 17.573591314678325d0, 8.044172905206903d0/)
Coeff_q_q=Coeff_q_q+alpha*alpha*inter
if(order_global>=3) then
inter(1:13)=(/&!!!exact part
-37408d0/243d0 - (183152d0*Lmu)/81d0 - (45056d0*Lmu**2)/27d0 - (7424d0*Lmu**3)/27d0 &
- (272d0*Nf)/729d0 + (26336d0*Lmu*Nf)/243d0 + (8192d0*Lmu**2*Nf)/81d0 &
+ (512d0*Lmu**3*Nf)/27d0 - (6976d0*zeta2)/81d0 + (8704d0*Lmu*zeta2)/27d0 &
+ (10240d0*Lmu**2*zeta2)/27d0 - (496d0*Nf*zeta2)/81d0 + 736d0*zeta3 + (3584d0*Lmu*zeta3)/3d0, & !Log[1-x]
-7400d0/81d0 - (6656d0*Lmu)/27d0 + (4096d0*Lmu**2)/27d0 + (2048d0*Lmu**3)/27d0 &
+ (280d0*Nf)/27d0 + (256d0*Lmu*Nf)/27d0 + (1672d0*zeta2)/27d0, & !Log[1-x]^2
-2816d0/81d0 + (1024d0*Lmu)/27d0 + (512d0*Nf)/243d0,& !log(1-x)^3
0d0,0d0, & !log(1-x)^4,log(1-x)^5
0d0,0d0,0d0,& !1/x, Log(x)/x, Log[x]^2/x
-57152d0/27d0 - (1376d0*Nf**2)/243d0 + Lmu**3*(-928d0/27d0 + (64d0*Nf)/27d0) &
+ (27424d0*zeta2)/81d0 + Lmu**2*(-13144d0/27d0 + (3520d0*Nf)/81d0 - (32d0*Nf**2)/27d0 &
+ (2560d0*zeta2)/27d0) + Nf*(64960d0/243d0 - (8096d0*zeta2)/243d0 - (1888d0*zeta3)/81d0) &
+ (31888d0*zeta3)/81d0 + Lmu*(-144304d0/81d0 - (512d0*Nf**2)/81d0 + Nf*(58288d0/243d0 &
- (1024d0*zeta2)/27d0) + (3200d0*zeta2)/9d0 + (928d0*zeta3)/9d0) + (14240d0*zeta4)/81d0, &!log[x]
-149368d0/243d0 - (128d0*Lmu**3)/81d0 - (592d0*Nf**2)/243d0 + Lmu**2*(-632d0/9d0 &
+ (16d0*Nf)/3d0) + Nf*(57592d0/729d0 - (1024d0*zeta2)/81d0) + (3352d0*zeta2)/27d0 &
+ Lmu*(-4672d0/9d0 + (1280d0*Nf)/27d0 - (32d0*Nf**2)/27d0 + (1024d0*zeta2)/9d0) + (2872d0*zeta3)/27d0, & !log[x]^2
-26932d0/243d0 - (320d0*Lmu**2)/81d0 + (8704d0*Nf)/729d0 - (80d0*Nf**2)/243d0 &
+ Lmu*(-3704d0/81d0 + (112d0*Nf)/27d0) + (6392d0*zeta2)/243d0, & !Log^3(x)
-704d0/81d0 - 2d0*Lmu + (208d0*Nf)/243d0, & !Log[x]^4,
-122d0/405d0/) !Log[x]^5
inter(14:37)= & !!!! approximate part computed by Mathematica
(/ 0.395061728395062d0, 0.395061728395062d0, 0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0&
/)*Nf**2*Lmu**3 &
+ &
(/ 0.790123456790123d0, 5.53086419753086d0, 0d0, -2.37037037037037d0, &
0d0, 0d0, 1.185185185185185d0, 0d0,&
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0&
/)*Nf**2*Lmu**2 &
+ &
(/ -0.65843621399177d0, 15.1440329218107d0, -2.7530687439030275d0, -4.591437087176103d0,&
-2.5542591731780475d0, 0.034685452795748035d0, 1.8027809089183915d0, 1.696151011480841d0,&
-0.059062892434395727d0, -0.000008147158497574798d0, 1.476735874677593d0, -0.3298337085972163d0, &
0.024136940847005385d0, -0.18821018205271628d0, 0.005887693081541277d0, 0.0009087273491762202d0, &
-0.2740643029932125d0, -0.0057601059063042675d0, -0.0009037858652495371d0, -1.186794446097566d0, &
-0.6687318379028852d0, 0.08996332607633727d0, 0.7347690706137007d0, 0.07745556112877952d0&
/)*Nf**2*Lmu &
+ &
(/ 1.649502965696999d0, 14.29147827433897d0, -2.394479730189019d0, -4.099623089957749d0, &
-3.4460830206134943d0, -0.6273649187911713d0, 1.785780454402315d0, 2.872835875174166d0, &
0.27723408856151094d0, -0.000005411539898243856d0, 1.2859205605331552d0, -0.28433473155420436d0, &
0.020760828858175498d0, -0.24999155560607883d0, 0.0044177557960472695d0, 0.0006857392837754416d0, &
-0.2377780526157309d0, -0.004320604763193867d0, -0.0006819732308017775d0, -1.0173771309697677d0, &
-0.6048310050079647d0, 0.07550040216160507d0, 0.5910549413562982d0, 0.048560912112946795d0 &
/)*Nf**2 &
+ &
(/ -1.185185185185185d0, -20.14814814814815d0, 0d0, 9.481481481481481d0, &
0d0, 0d0, -7.111111111111111d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0, -9.481481481481481d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0&
/)*Nf*Lmu**3 &
+ &
(/ 27.23794331294561d0, -182.9348961932272d0, 0d0, 81.38271604938272d0, &
20.14814814814815d0, 0d0, -61.62962962962963d0, -14.81481481481481d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, -55.30864197530864d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 18.96296296296296d0,&
18.96296296296296d0, 0d0, -18.96296296296296d0, 0d0&
/)*Nf*Lmu**2 &
+ &
(/ 117.7080838564612d0, -542.502472387698d0, 63.070538256303884d0, 284.38142474243955d0, &
138.80849966392316d0, 16.730706941597898d0, -175.3140490629636d0, -111.59015951728095d0, &
-10.638185646438437d0, 0.004140586007571197d0, -71.51667963464652d0, 16.235800797517403d0, &
-1.8013451889704244d0, 112.96203439549515d0, -1.2111244108012207d0, 0.015693231995821354d0, &
17.0972148863512d0, -3.533772393665435d0, -0.015870714097628493d0, 162.40033307218977d0, &
177.02059758423033d0, 1.6973234298688649d0, -81.95340823051978d0, -13.706968345567375d0 &
/)*Nf*Lmu &
+ &
(/ 155.1398371292255d0, -494.695936261738d0, 326.28510004531756d0, 4.7138458393930955d0, &
-30.781587986216383d0, 23.079319433575193d0, 100.65609243445266d0, 58.29978887659598d0, &
-8.090190525801678d0, 0.8839134145556795d0, -81.9112401755307d0, 3.144079549711709d0, &
-1.2946555292071331d0, -159.6059524313951d0, -5.102723115989586d0, -0.754757577251002d0, &
-76.4662281529223d0, -2.555854239522789d0, -0.30081099102918335d0, -218.04753894247514d0, &
-213.76810777043718d0, 22.13251041655753d0, 47.19953689289184d0, -53.73818289471319d0 &
/)*Nf &
+ &
(/ -150.7636565436621d0, 148.6590280656929d0, -96.11836489901302d0, -163.2788480925019d0, &
-11.109996964893716d0, 2.1106020554139775d0, 30.83680931824303d0, 17.410291869530138d0, &
-2.5031652564884084d0, 0.0017122506700585278d0, 48.488009635979964d0, -7.04696881642319d0, &
0.45233841551902204d0, 89.15375161657458d0, -38.48011439381526d0, -0.08189197920191399d0, &
-4.593689633567012d0, 0.543502291303585d0, 0.08148119767339691d0, -58.153641518137846d0, &
-90.19101220555473d0, -0.882026307415368d0, 1.5321370156999023d0, -16.605722037258257d0 &
/)*Lmu**3 &
+ &
(/ -579.675025157712d0, 1137.893499285246d0, 171.9564811967508d0, -1565.401894601279d0, &
-483.29183367465464d0, -38.63411800349697d0, 790.3027880615474d0, 494.5928604798917d0, &
32.89146260194936d0, -0.01213769091437563d0, -101.40861393434552d0, -96.97029118550205d0, &
1.3660452995123087d0, -298.59262089257146d0, 24.27940543164731d0, 1.219131070549323d0, &
-292.6273692333567d0, -62.116720558216905d0, -1.2158866108856214d0, -1347.4886356207612d0, &
-959.4151598722376d0, 201.7435271589885d0, 315.19770060262334d0, -256.2120703252077d0 &
/)*Lmu**2 &
+ &
(/ -941.270119433274d0, 2642.838024657489d0, -2661.1837170736376d0, 1535.2486416935578d0, &
-44.97273050972106d0, -173.23814559000638d0, -939.8338875245635d0, 150.05828291530773d0, &
72.27286285703005d0, -2.1586175629565014d0, 1952.700292936121d0, -331.5912206561213d0, &
34.42860000702732d0, 1447.134559648216d0, -66.01546761953692d0, -8.895544629861057d0, &
-343.9431368657766d0, 167.94666220839483d0, -10.066418164947923d0, 3745.9110477822d0, &
-727.2392818112431d0, -138.3856197720716d0, -429.18209014460245d0, 885.3601630809311d0 &
/)*Lmu &
+ &
(/ -1433.957394231969d0, 2589.033809576615d0, 21299.718269383393d0, -74113.44408116463d0, &
-344.86981104896626d0, -2740.388191486285d0, 31375.8368763333d0, -13479.560536880519d0, &
2767.80244633298d0, -5.50434417968931d0, -2421.055970398775d0, 13709.204385940917d0, &
-34.61979854133346d0, -41226.374533618386d0, -3800.571484308407d0, -646.1583799369932d0, &
58626.04751736368d0, 3697.8360885236484d0, 634.1178415829487d0, -80542.92378541816d0, &
29465.93024506383d0, -27786.929046325393d0, 19715.215135342984d0, -30433.16116711433d0/)
Coeff_q_q=Coeff_q_q+alpha**3*inter
end if
end if
end if
end subroutine Set_Coeff_q_q
!!!!!coefficient function q<-g regular-part
subroutine Set_Coeff_q_g(alpha,Nf,Lmu)
real(dp),intent(in)::alpha,Nf,Lmu
real(dp),dimension(1:37)::inter
!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_q_g=0d0
!!! checked AV(24.06.22) !!!!!
if(order_global>=1) then
Coeff_q_g=Coeff_q_g+alpha*(/&
0d0,0d0,0d0,0d0,0d0,& !log(1-x),log(1-x)^2,log(1-x)^3,log(1-x)^4,log(1-x)^5
0d0,0d0,0d0,& !1/x, Log(x)/x,Log(x)^2/x
0d0,0d0,0d0,& !Log(x),Log^2(x),Log^3(x)
0d0,0d0,& !Log^4(x),Log^5(x)
-Lmu,0d0,2d0*(Lmu+1d0),& !1,x,x(1-x)
0d0,0d0,0d0,& !..
0d0,0d0,0d0,& !..
0d0,0d0,0d0,& !..
0d0,0d0,0d0,& !..
0d0,0d0,0d0,& !..
0d0,0d0,0d0,& !..
0d0,0d0,0d0/) !..
if(order_global>=2) then
!!! checked AV(24.06.22) !!!!!
inter(1:13)= (/&!!!Exact part
-5d0/3d0 + 26d0*Lmu**2/3d0, 10d0*Lmu/3d0, 5d0/9d0,& !log(1-x),log(1-x)^2,log(1-x)^3
0d0,0d0,& !log(1-x)^4,log(1-x)^5
172d0/9d0 - 52d0*Lmu/3d0 + 4d0*Lmu**2 - 8d0*zeta2, 0d0, 0d0, & !1/x, Log(x)/x, Log[x]^2/x
34d0/3d0 - 22d0*Lmu/3d0 + 14d0*Lmu**2/3d0, -7d0/6d0 + 14d0*Lmu/3d0, 7d0/9d0, 0d0, 0d0/) !Log(x),Log^2(x),Log^3(x),Log^4(x),Log^5(x)
inter(14:37) = &!!!! approximate part computed by Mathematica
(/ 2.333333333333333d0, -4.333333333333333d0, 31.d0, 0d0, &
0d0, 0d0, 21.33333333333333d0, 0d0, &
0d0, 0d0, 5.333333333333333d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
-17.33333333333333d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0&
/)*Lmu**2 &
+ &
(/ 21.63289377898818d0, -15.86960440108936d0, -1347.7655161771831d0, 4272.1636816063965d0,&
546.954456339436d0, 146.981804191587d0, -2643.3817352202545d0, -470.37233968318066d0, &
-143.92662870297517d0, 0.19587862057210267d0, 146.02451238944474d0, 30.39804331455055d0, &
3.6731710504375257d0, 2722.5432534817473d0, 4.76166076807807d0, 0.5243017033328325d0, &
554.5415219819214d0, -11.405935276728773d0, -0.5236541757221975d0, 4129.44617085216d0, &
2457.7944330779314d0, -120.10810410077829d0, -1485.9990493228613d0, 322.4104334714699d0 &
/)*Lmu &
+ &
(/ 6.51093766115781d0, -27.9340423448555d0, -2226.281133930018d0, 7338.908383582605d0, &
1095.5927252702118d0, 254.4804567188687d0, -4543.853353204252d0, -1190.712146927466d0, &
-234.52974763875386d0, 0.3915336374442863d0, -48.95617559974949d0, 288.57204891406667d0, &
-4.1602164210475d0, 4519.396563312932d0, -18.007975333999568d0, -3.225271227613856d0, &
1695.6115053273888d0, 12.800231678813827d0, 2.0928097435234276d0, 6665.395403675886d0, &
4921.711750117209d0, -500.29279582171137d0, -2549.79132306537d0, 272.6427824324629d0/)
Coeff_q_g=Coeff_q_g+alpha*alpha*inter
if(order_global>=3) then
inter(1:13)=(/&!!!exact part
-22412d0/243d0 + Lmu**2*(910d0/3d0 - (260d0*Nf)/27d0) + Lmu**3*(238d0/9d0 - (68d0*Nf)/27d0) &
- (422d0*zeta2)/27d0 + Lmu*(2708d0/9d0 - 42d0*zeta2 + Nf*(-74d0/9d0 + 4d0*zeta2) &
- (1636d0*zeta3)/9d0) - 58d0*zeta3 + Nf*(5378d0/729d0 + (20d0*zeta2)/9d0 + (28d0*zeta3)/3d0) &
+ (730d0*zeta4)/9d0, & !log[1-x]
8821d0/162d0 - (1064d0*Lmu**3)/27d0 + Lmu**2*(35d0/3d0 - (10d0*Nf)/9d0) + Lmu*(1130d0/9d0 &
- (100d0*Nf)/27d0 - (40d0*zeta2)/3d0) - (166d0*zeta2)/9d0 + Nf*(-173d0/243d0 + (4d0*zeta2)/3d0) &
- (1310d0*zeta3)/27d0, & !log[1-x]^2
1870d0/81d0 - (260d0*Lmu**2)/9d0 + Lmu*(10d0 - (20d0*Nf)/27d0) - (200d0*Nf)/243d0 - (500d0*zeta2)/81d0, & !log[1-x]^3
85d0/36d0 - (230d0*Lmu)/27d0 - (25d0*Nf)/162d0, & !log[1-x]^4
-25d0/27d0, & !log[1-x]^5
-480178d0/81d0 + Lmu**3*(272d0/3d0 - (136d0*Nf)/81d0) + (35192d0*zeta2)/27d0 &
+ Lmu**2*(-1790d0/3d0 + (152d0*Nf)/81d0 + (128d0*zeta2)/3d0) + Lmu*(9188d0/3d0 &
- (6560d0*zeta2)/9d0 + Nf*(-4208d0/243d0 + (272d0*zeta2)/27d0) - (1712d0*zeta3)/3d0) &
+ Nf*(66130d0/2187d0 - (304d0*zeta2)/81d0 - (272d0*zeta3)/27d0) + (11912d0*zeta3)/9d0 &
+ (2968d0*zeta4)/3d0, & !1/x
-17152d0/27d0 - 104d0*Lmu**2 + 16d0*Lmu**3 + Lmu*(1136d0/3d0 - 96d0*zeta2) + 208d0*zeta2 + 96d0*zeta3, & !Log(x)/x
0d0,& !Log[x]^2/x
-567080d0/243d0 + Lmu**3*(110d0/9d0 + (52d0*Nf)/27d0) + Lmu**2*(-3718d0/9d0 + (1360d0*Nf)/27d0 &
- (1592d0*zeta2)/9d0) + (12262d0*zeta2)/27d0 + Lmu*(5416d0/9d0 + (1642d0*zeta2)/9d0 &
+ Nf*(4120d0/27d0 + (32d0*zeta2)/3d0) - (7816d0*zeta3)/9d0) + (164d0*zeta3)/9d0 &
+ Nf*(139178d0/729d0 + 8d0*zeta2 + (32d0*zeta3)/3d0) - (39473d0*zeta4)/54d0, & !log[x]
22754d0/81d0 + Lmu**3*(-268d0/27d0 + (8d0*Nf)/9d0) + Lmu**2*(40d0/3d0 + (80d0*Nf)/9d0) &
+ Lmu*(-10039d0/18d0 + (1567d0*Nf)/27d0 - (235d0*zeta2)/3d0) + (860d0*zeta2)/27d0 &
+ Nf*(14206d0/243d0 + (16d0*zeta2)/3d0) - (9748d0*zeta3)/27d0, & !log[x]^2
-13136d0/81d0 + (3466d0*Nf)/243d0 + Lmu**2*(-536d0/27d0 + (16d0*Nf)/9d0) &
+ Lmu*(535d0/27d0 + (190d0*Nf)/27d0) - (523d0*zeta2)/81d0, & !Log^3(x)
823d0/162d0 + (103d0*Nf)/81d0 + Lmu*(-335d0/27d0 + (10d0*Nf)/9d0), & !Log[x]^4,
-268d0/135d0 + (8d0*Nf)/45d0/) !Log[x]^5
inter(14:37)= & !!!! approximate part computed by Mathematica
(/ 7.62962962962963d0, -6.83950617283951d0, -13.01234567901235d0, 0d0 , &
0d0, 0d0, -6.518518518518519d0, -1.777777777777778d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, &
5.037037037037037d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0 &
/)*Nf*Lmu**3 &
+ &
(/ 72.3542498958121d0, -73.2517430468732d0, 403.2271181482173d0, -1434.7988325054466d0, &
-181.52671064835621d0, -49.35514436213495d0, 881.2310465305789d0, 132.33437417267362d0, &
44.83345470060389d0, -0.06553248934010411d0, -61.21805109394673d0, -2.1446923935694344d0, &
-1.2851867347038952d0, -898.0506935856612d0, -1.535932066085718d0, -0.16723907003844884d0, &
-164.5038290518236d0, 3.7516600704255163d0, 0.1670604518486107d0, -1370.382743834321d0, &
-813.542803053118d0, 39.96183122195952d0, 495.47028161583296d0, -105.91314096503616d0 &
/)*Nf*Lmu**2 &
+ (/ 221.5634015749843d0, -176.1580767287682d0, 2346.8190974674635d0, -8274.57901412815d0, &
-1391.7802845673993d0, -285.7476685106875d0, 5230.778545437339d0, 1667.8100012967434d0, &
226.74083248851613d0, -2.7153621424688437d0, 221.16088515407003d0, -547.4776644894898d0, &
25.53316984252233d0, -5045.1029367714145d0, 51.48436013274954d0, 8.476104165455595d0, &
-2677.5170650158293d0, -41.00688839542791d0, -6.944111250733137d0, -7162.7754138193095d0, &
-6415.377271481533d0, 893.4544267659736d0, 2920.1338028035907d0, 26.207942588037138d0 &
/)*Nf*Lmu &
+ &
(/ 256.9582959358714d0, -188.3999850419033d0, 1737.269021029394d0, 17218.70117301099d0, &
1347.906403068893d0, 618.2681109986735d0, -4484.153437303089d0, -1747.6176267311628d0, &
-439.8642459937709d0, 10.423313125358677d0, -776.9204633933074d0, 2500.5782806749075d0, &
38.94014251614613d0, 301.41119105482386d0, -626.3704344878853d0, -190.11394983050576d0, &
11615.991429236092d0, 490.93186430839876d0, 182.14196197395714d0, 7079.497968228632d0, &
9953.04634515822d0, -5061.605998827431d0, -2844.353250784031d0, -1482.3384180170683d0 &
/)*Nf &
+ &
(/ -160.4130924335138d0, 146.5690126974587d0, 187.55460344075067d0, 78.10866100439475d0, &
-9.613051684156957d0, 4.448891029160875d0, 9.4084209249648d0, 146.75953257066195d0, &
-5.170368568725777d0, 0.0027281040029338613d0, 224.9836049214083d0, -27.89298529260442d0, &
0.8194126577963371d0, 35.98069945125342d0, 0.2580087238719447d0, 0.03575503491287038d0, &
-370.9526743739064d0, 78.56088613209761d0, -0.03560079985387738d0, 29.227522935205304d0, &
-151.56853522203528d0, -43.01718618642273d0, -14.956046600037475d0, -27.761431381845195d0 &
/)*Lmu**3 &
+ &
(/ -29.82600732368725d0, 554.835363434056d0, -34336.314598380966d0, 119029.01782078671d0, &
20408.614079876992d0, 4154.673825451728d0, -75023.63448938228d0, -24786.056055024634d0, &
-3445.8544831181666d0, 7.365049784232069d0, -4657.864770234503d0, 8110.180348784133d0, &
-344.27265056599504d0, 72841.79014710816d0, -866.7527821258016d0, -143.16526091870853d0, &
38317.10721907232d0, 838.4408705432135d0, 200.08862645247842d0, 102025.59562978137d0, &
92514.58297573215d0, -13160.129286516396d0, -42070.36303808866d0, -1627.999857136047d0 &
/)*Lmu**2 &
+ &
(/ -2995.073575291361d0, 1498.80862589993d0, 88114.42665895961d0, -733133.0290966288d0, &
48566.45444228208d0, -29927.71589862371d0, 286988.80942297296d0, -292814.37800907117d0, &
30289.240032065558d0, 47.547734825104044d0, 18548.179682490125d0, 234771.0705979576d0, &
-817.7584235475912d0, -494751.545586673d0, -57109.49992224833d0, -14009.175482415527d0, &
1077555.5167492619d0, 48692.04856848418d0, 13434.923257675862d0, -783206.4807470617d0, &
640994.260827683d0, -483929.5043946736d0, 212137.29048399607d0, -355106.146593611d0 &
/)*Lmu &
+ &
(/ -1159.413099122895d0, 1635.363764260032d0, 291728.66383380373d0, 297685.8129714873d0, &
-221915.06752085776d0, 25524.51881819133d0, 219177.47007250955d0, 788551.1237446637d0, &
-9410.065343697566d0, -278.87991521235773d0, -466009.41476942756d0, -599592.6570672634d0, &
-20694.71044592301d0, 389326.2660609592d0, 181813.58029501003d0, 46319.91724831932d0, &
-3331360.7104325257d0, -159939.11874439236d0, -45147.96425971463d0, 252563.50461695628d0, &
-2524447.0539041213d0, 1495477.2954864914d0, -45392.404861584015d0, 738745.8988557612d0/)
Coeff_q_g=Coeff_q_g+alpha**3*inter
end if
end if
end if
end subroutine Set_Coeff_q_g
!!!!!coefficient function g<-q regular-part
subroutine Set_Coeff_g_q(alpha,Nf,Lmu)
real(dp), intent(in)::alpha,Nf,Lmu
real(dp),dimension(1:37)::inter
!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_g_q=0d0
if(order_global>=1) then
Coeff_g_q=Coeff_g_q+alpha*(/&
0d0,0d0,0d0,0d0,0d0,& !log(1-x),log(1-x)^2,log(1-x)^3,log(1-x)^4,log(1-x)^5
-16d0/3d0*Lmu,0d0,0d0,& !1/x, Log(x)/x,Log[x]^2/x
0d0,0d0,0d0,0d0,0d0,& !Log(x),Log^2(x),Log^3(x),Log^4(x),Log^5(x)
16d0/3d0*Lmu,8d0/3d0*(1d0-Lmu),0d0,& !1,x,x(1-x)
0d0,0d0,0d0,& !...
0d0,0d0,0d0,& !...
0d0,0d0,0d0,& !...
0d0,0d0,0d0,& !...
0d0,0d0,0d0,& !...
0d0,0d0,0d0,& !...
0d0,0d0,0d0/) !...
!------The kernels are calculated in mathematica
if(order_global>=2) then
!!! checked AV(24.06.22) !!!!!
inter(1:13)=(/ &!!Exact part
-184d0/9d0 + 208d0*Lmu**2/9d0 + 32d0*Nf/27d0 + Lmu*(-208d0/3d0 + 32d0*Nf/9d0), & !log(1-x),
-44d0/9d0 - 80d0*Lmu/9d0 + 8d0*Nf/9d0, &!log(1-x)^2
-40d0/27d0,& !log(1-x)^3
0d0,0d0, & !log[1-x]^4, Log[1-x]^5
-12640d0/27d0 - 248d0*Lmu**2/3d0 + 896d0*Nf/81d0 + 352d0*zeta2/3d0 + Lmu*(-16d0 + 320d0*Nf/27d0 + 16d0*zeta2)&
+ 192d0*zeta3, & ! 1/x
-32d0*Lmu**2,& !Log(x)/x
0d0, & ! log[x]^2/x
-200d0/3d0 + 448d0*Lmu/9d0 - 224d0*Lmu**2/9d0,& ! log[x]
112d0/9d0 - 224d0*Lmu/9d0, & !log[x]^2
-112d0/27d0,& !Log^3(x)
0d0, 0d0/) !log^4[x], Log^5[x]
inter(14:37) = &!!!! approximate part computed by Mathematica
(/ -18.96296296296296d0, 14.81481481481481d0, 0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, -3.555555555555556d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 7.111111111111111d0&
/)*Nf*Lmu &
+ &
(/ -16.98765432098765d0, 8.49382716049383d0, 10.105878861256377d0, -15.683156391980615d0, &
-1.1678464945686933d0, -0.3894843351990761d0, 7.8533142515878485d0, 1.9546438875445589d0, &
0.6950027212435487d0, -0.00014502220330457329d0, -20.188404362810786d0, -0.8503331335490835d0, &
-0.3103147478202312d0, -4.82059155359706d0, 4.059871081452588d0, 0.16430446407329385d0, &
-5.974977274813962d0, -3.155832574687199d0, -0.16373846451905985d0, -30.642601685443175d0, &
9.420630737009382d0, 8.982446076391128d0, 1.5121624860392393d0, -2.5176972873105594d0 &
/)*Nf &
+ &
(/ 24.88888888888889d0, 63.1111111111111d0, -10.66666666666667d0, 0d0, &
0d0, 0d0, -35.55555555555556d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, &
-23.11111111111111d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 46.22222222222222d0&
/)*Lmu**2 &
+ &
(/ -16.03916979230256d0, -87.2458021173561d0, -2010.1488699407232d0, 6076.208632952935d0, &
564.5557445841231d0, 211.86453200951652d0, -3601.9602386229362d0, -225.32839489211293d0, &
-229.9625300588414d0, 0.2136803057876804d0, 574.4207814289659d0, -255.11611757357517d0, &
25.549411842390107d0, 3907.324648052323d0, 10.584578521507195d0, 5.9544978776108115d0, &
-246.27997288487478d0, -18.63107102589967d0, -5.921973413578754d0, 6363.831078614713d0, &
2158.1962023153906d0, 200.4117523356342d0, -2029.9168194481554d0, 771.5543116309995d0 &
/)*Lmu &
+ &
(/ -43.7670093177715d0, 76.9627282416364d0, -3810.7353885971775d0, 11852.342051380561d0, &
1395.2794273691215d0, 408.2878206728194d0, -7076.194549950133d0, -1105.1338760960982d0, &
-419.7000512900085d0, 0.5144908962048776d0, 762.2333453342488d0, -37.910128841259684d0, &
25.841653105434336d0, 7206.145394500205d0, -47.97022791877111d0, -3.4487059407983987d0, &
1152.4124598008452d0, 26.348519296850707d0, 1.9731271688088206d0, 11838.586361348272d0, &
5670.649765218949d0, -286.7508347433035d0, -3920.619711189592d0, 1269.1159656155107d0/)
Coeff_g_q=Coeff_g_q+alpha*alpha*inter
if(order_global>=3) then
inter(1:13)=(/ &!!Exact part
-2606752d0/729d0 + Lmu**3*(1904d0/27d0 - (544d0*Nf)/81d0) - (224d0*Nf**2)/27d0 &
+ Lmu**2*(13096d0/9d0 - (1696d0*Nf)/27d0 - (32d0*Nf**2)/27d0 - (13520d0*zeta2)/27d0) &
+ (19240d0*zeta2)/81d0 + Lmu*(-186472d0/81d0 - (896d0*Nf**2)/81d0 + Nf*(87712d0/243d0 &
- (832d0*zeta2)/27d0) + (7328d0*zeta2)/9d0 - (34208d0*zeta3)/27d0) + (92416d0*zeta3)/81d0 &
+ Nf*(872656d0/2187d0 - (3616d0*zeta2)/243d0 + (832d0*zeta3)/81d0) - (9440d0*zeta4)/81d0, & !log[1-x]
-249580d0/243d0 - (8512d0*Lmu**3)/81d0 + Lmu**2*(4360d0/9d0 - (752d0*Nf)/27d0) &
- (352d0*Nf**2)/81d0 + Nf*(102664d0/729d0 - (296d0*zeta2)/27d0) + (7124d0*zeta2)/81d0 &
+ Lmu*(-6388d0/9d0 + (2272d0*Nf)/27d0 - (80d0*Nf**2)/27d0 + 80d0*zeta2) + (4240d0*zeta3)/81d0,& ! Log^2[1-x]
-56852d0/243d0 + (2080d0*Lmu**2)/27d0 + (20672d0*Nf)/729d0 - (80d0*Nf**2)/81d0 &
+ Lmu*(-2216d0/27d0 + (176d0*Nf)/81d0) + (4600d0*zeta2)/243d0, & ! Log^3[1-x]
-7430d0/243d0 + (80d0*Lmu)/27d0 + (700d0*Nf)/243d0, &! Log[1-x]^4
-200d0/81d0, & !Log[1-x]^5
5955362d0/81d0 - (369280d0*zeta2)/27d0 + Lmu**3*(-5128d0/3d0 + (8432d0*Nf)/243d0 &
+ (2816d0*zeta2)/9d0) + Lmu**2*(140896d0/27d0 - (320d0*Nf**2)/81d0 - (9016d0*zeta2)/9d0 &
+ Nf*(62248d0/243d0 + 32d0*zeta2) - (41152d0*zeta3)/27d0) + Nf**2*(-7424d0/729d0 &
- (128d0*zeta3)/9d0) - (221312d0*zeta3)/27d0 + (2240d0*zeta2*zeta3)/9d0 &
- (443552d0*zeta4)/27d0 + Nf*(2586920d0/6561d0 - (77312d0*zeta2)/729d0 + (1408d0*zeta3)/81d0 &
+ (32d0*zeta4)/9d0) + Lmu*(-459260d0/9d0 - (704d0*Nf**2)/81d0 + (301208d0*zeta2)/27d0 &
+ Nf*(65728d0/81d0 - (13552d0*zeta2)/81d0 - (512d0*zeta3)/9d0) + (140576d0*zeta3)/9d0 &
+ (134924d0*zeta4)/27d0) - (378688d0*zeta5)/27d0, & !! 1/x
302336d0/27d0 + Lmu**3*(-2048d0/3d0 + (1088d0*Nf)/81d0) - (30016d0*zeta2)/9d0 &
+ Lmu**2*(-96d0 + (9056d0*Nf)/81d0 + 96d0*zeta2) - 960d0*zeta3 + Nf*(-75424d0/2187d0 &
- (1024d0*zeta2)/243d0 + (2432d0*zeta3)/27d0) + Lmu*(-25280d0/3d0 + 2112d0*zeta2 + &
Nf*(13376d0/243d0 + (128d0*zeta2)/27d0) + 2688d0*zeta3) - 1568d0*zeta4, & !! log[x]/x
-64d0*Lmu**3 + 768d0*zeta3, & !! log^2[x]/x
51537256d0/3645d0 + Lmu**3*(-224d0 + (320d0*Nf)/81d0) - (42568d0*zeta2)/27d0 &
+ Lmu**2*(37568d0/27d0 - 64d0*Nf + (31072d0*zeta2)/27d0) - (357760d0*zeta3)/81d0 &
+ Nf*(-4044016d0/10935d0 + (8960d0*zeta2)/243d0 + (7168d0*zeta3)/81d0) &
+ Lmu*(-538744d0/81d0 - (19376d0*zeta2)/9d0 + Nf*(-74864d0/243d0 + (1792d0*zeta2)/27d0) &
+ (129536d0*zeta3)/27d0) + (108248d0*zeta4)/27d0, & ! log[x]
-850448d0/243d0 + Lmu**2*(-3584d0/9d0 - (128d0*Nf)/27d0) + Lmu**3*(4288d0/81d0 - (128d0*Nf)/27d0) &
- (25480d0*zeta2)/81d0 + Nf*(-89776d0/729d0 + (896d0*zeta2)/81d0) + Lmu*(55744d0/27d0 &
- (7136d0*Nf)/81d0 + (19120d0*zeta2)/27d0) + 2368d0*zeta3, &! log[x]^2
63392d0/81d0 + Lmu*(-2576d0/9d0 - (928d0*Nf)/81d0) + Lmu**2*(8576d0/81d0 - (256d0*Nf)/27d0) &
- (28768d0*Nf)/729d0 + (704d0*zeta2)/9d0, &! log[x]^3
-4760d0/81d0 + Lmu*(5360d0/81d0 - (160d0*Nf)/27d0) - (688d0*Nf)/243d0, & ! Log[x]^4
4288d0/405d0 - (128d0*Nf)/135d0/) ! Log^5[x]
inter(14:37) = &!!!! approximate part computed by Mathematica
(/ 6.32098765432099d0, -4.34567901234568d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 1.185185185185185d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, -2.37037037037037d0&
/)*Nf**2*Lmu**2&
+ &
(/ 28.44444444444444d0, -26.07407407407407d0, -35.29801594148292d0, 50.210681300740426d0, &
3.9707199283758614d0, 1.3464464832492478d0, -27.19869670520337d0, -6.455517820141844d0, &
-2.3702122249252056d0, 0.00053022408146142d0, 68.20567217451166d0, 2.7190857878029586d0, &
1.0413774239525115d0, 20.42366025291231d0, -13.550951108316838d0, -0.5503472280851305d0, &
19.773262092818616d0, 10.537142073153895d0, 0.548447214403684d0, 101.9066259658048d0, &
-32.504970113632204d0, -29.972529920634813d0, -6.084967086246976d0, 7.861438161737242d0 &
/)*Nf**2*Lmu &
+ &
(/ 47.82294372010792d0, -36.4217599258976d0, -103.18220793431355d0, 95.41364528968354d0, &
10.640108345284865d0, 0.1984641329559921d0, -16.097961598654987d0, -32.866408953777416d0, &
-2.2640980754442563d0, -0.0012035375030404777d0, 100.32122537445532d0, 21.57302915613261d0, &
2.021097157042704d0, -49.528355132988594d0, -19.122018202371205d0, -3.5146883820099273d0, &
150.62392188914674d0, 13.52730996944557d0, 2.524623417995718d0, 161.74164765160825d0, &
31.414413375305013d0, -83.38479001415207d0, 11.201148680760982d0, 101.61702932792713d0 &
/)*Nf**2 &
+ &
(/ -39.5061728395062d0, 2.4362139917695d0, 4.477366255144033d0, 0d0, &
0d0, 0d0, 1.580246913580247d0, 2.37037037037037d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 6.716049382716049d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, -13.4320987654321d0 &
/)*Nf*Lmu**3 &
+ &
(/ -229.3672608276712d0, 3.094116146469d0, 302.87500057394493d0, -1476.8599548104532d0, &
-151.65103037754028d0, -56.53130889162675d0, 992.5078345472483d0, 3.3720340940756395d0, &
56.32635747311797d0, -0.06642330242133421d0, 533.3268936849769d0, 107.5511745395276d0, &
2.62146090002572d0, -1156.6359941205324d0, -143.6056477916958d0, -7.585782583188262d0, &
294.738650265751d0, 114.95945865518577d0, 7.555764576563168d0, -1158.9918299959888d0, &
-1033.4419732743704d0, -374.23960883667604d0, 628.6343039811965d0, -80.71875196679441d0 &
/)*Nf*Lmu**2 &
+ &
(/ -439.388901878674d0, 388.023803539541d0, 2766.5687673568d0, -5899.707009905244d0, &
89.70584115153471d0, -180.69227606213542d0, 3319.997454029521d0, -936.777865731949d0, &
296.3374377405848d0, 3.0317599471048746d0, -4010.8392770616574d0, 914.6812915345051d0, &
-110.38068168721452d0, -3558.5416821860476d0, 365.25511104815257d0, 8.831521819958427d0, &
2101.265774497295d0, -271.91164419649505d0, -6.695985690695591d0, -9707.647884296195d0, &
2795.039769977866d0, -20.8401481568141d0, 1447.9744888698085d0, -2302.6378340767164d0 &
/)*Nf*Lmu &
+ &
(/ -67.9829145503743d0, 219.158749725915d0, -1928174.3675232043d0, 13660230.992231071d0, &
1438555.6389498522d0, 527788.3832247681d0, -6342633.943314056d0, -1110066.3713385295d0, &
-445647.2310416044d0, 1664.058961721363d0, -984268.7617930577d0, 294152.4814036452d0, &
-31933.408010414198d0, 5951974.557720204d0, 47164.00667140128d0, 6327.7953033340145d0, &
677862.4552121769d0, -47164.64607858405d0, -6333.491225375449d0, 10232448.271520196d0, &
5019923.443771398d0, 18417.09719771348d0, -3817819.5892725224d0, 989192.3011421486d0 &
/)*Nf &
+ &
(/ 1112.129085571333d0, 287.382887105342d0, -1042.843709978051d0, 1613.9057618736701d0, &
130.48491144849456d0, 36.913444663260776d0, -790.498229787766d0, -396.43165363819736d0, &
-70.72319060762437d0, 0.009931176068876455d0, 2109.6101843219603d0, 126.19201394067828d0, &
34.126778528541784d0, 292.793009287879d0, -473.6178477019335d0, -18.516766946510426d0, &
810.6843828683268d0, 366.85190013429116d0, 18.454110884783805d0, 3122.599517294824d0, &
-773.6648331833818d0, -1043.3921068516167d0, -120.29583752037485d0, 1269.610749445055d0 &
/)*Lmu**3 &
+ &
(/ -1921.906789307857d0, -372.58274178472d0, -69084.97566902386d0, 244673.44841537002d0, &
31442.57661294567d0, 8863.188624207041d0, -152060.14889377757d0, -24968.341519618167d0, &
-8640.416151791425d0, 12.211611200230898d0, -8963.798397351113d0, -423.0287842908501d0, &
42.76369773990685d0, 162725.2684433645d0, 2276.826077880327d0, 369.31081528383714d0, &
18550.888533023717d0, -1963.9725079078212d0, -291.8319896027318d0, 223028.74722121123d0, &
142501.98489448125d0, 2856.3848645639023d0, -88325.37887887648d0, 8394.365797443907d0 &
/)*Lmu**2 &
+ &
(/ 11921.71434155528d0, -6781.34908416411d0, -158148.2209543558d0, 538674.8944284564d0, &
171737.3261600601d0, 19039.382679251597d0, -409325.72973033605d0, -310181.0747300033d0, &
-12976.794025064213d0, -34.58232150902785d0, -69520.34345877795d0, 161761.49969193127d0, &
-4070.8041299190677d0, 311686.00215086143d0, -32574.15349767234d0, -5589.677387248409d0, &
714494.0770862179d0, 29772.452884385068d0, 5467.081025636136d0, 335003.4033512359d0, &
940478.2101984358d0, -289448.1823897888d0, -214692.0268137817d0, -196438.11603672872d0 &
/)*Lmu &
+ &
(/ -7169.29235586346d0, -4588.1011723863d0, 702617.0793999566d0, -3344355.0256354054d0, &
-103204.8841595639d0, -130444.4124037771d0, 1454326.4688116042d0, -433210.44889358024d0, &
124681.21137203537d0, 187.0287189883803d0, 143306.48429574308d0, 483117.5387530173d0, &
3802.697957047535d0, -1867008.6648047518d0, -138642.599018635d0, -28982.28358193084d0, &
2271353.975985237d0, 133169.94967082897d0, 28841.22591650202d0, -3198342.1864987523d0, &
779457.2094747808d0, -1090149.6774086975d0, 941888.7159622173d0, -994158.7838174688d0/)
Coeff_g_q=Coeff_g_q+alpha**3*inter
end if
end if
end if
end subroutine Set_Coeff_g_q
!!!!!coefficient function g<-g regular-part
subroutine Set_Coeff_g_g(alpha,Nf,Lmu)
real(dp),intent(in)::alpha,Nf,Lmu
real(dp),dimension(1:37)::inter
!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_g_g=0d0
if(order_global>=1) then
Coeff_g_g=Coeff_g_g+alpha*Lmu*(/&
0d0,0d0,0d0,0d0,0d0,& !log(1-x),log(1-x)^2,log(1-x)^3,log(1-x)^4,log(1-x)^5
-12d0,0d0,0d0,& !1/x, Log(x)/x,Log[x]^2/x
0d0,0d0,0d0,0d0,0d0,& !Log(x),Log^2(x),Log^3(x),Log^4(x),Log^5(x)
24d0, 0d0,-12d0,& !1,x,x(1-x)
0d0,0d0,0d0,& !..
0d0,0d0,0d0,& !..
0d0,0d0,0d0,& !..
0d0,0d0,0d0,& !..
0d0,0d0,0d0,& !..
0d0,0d0,0d0,& !..
0d0,0d0,0d0/) !..
if(order_global>=2) then
!!! checked AV(24.06.22) !!!
inter(1:13)=(/ &!!Exact part
6d0 - 144d0*Lmu - 144d0*Lmu**2 - 2d0*Nf, & !log(1-x),
-36d0, &!log(1-x)^2
0d0, 0d0,0d0, & !log[1-x]^3, log[1-x]^4, Log[1-x]^5
-3160d0/3d0 + Lmu**2*(-198d0 - (4d0*Nf)/9d0) + (226d0*Nf)/9d0 + 264d0*zeta2 + &
Lmu*((244d0*Nf)/9d0 + 36d0*zeta2) + 432d0*zeta3, & ! 1/x
-72d0*Lmu**2,& !Log(x)/x
0d0, & ! log[x]^2/x
-293d0 + (74d0*Nf)/3d0 + Lmu**2*(-72d0 + (16d0*Nf)/3d0) + Lmu*(12d0 + 24d0*Nf),& ! log[x]
3d0 + 6d0*Nf + Lmu*(-72d0 + (16d0*Nf)/3d0), & !log[x]^2
-12d0 + (8d0*Nf)/9d0,& !Log^3(x)
0d0, 0d0/) !log^4[x], Log^5[x]
inter(14:37) = &
(/ 10.66666666666667d0, -6.22222222222222d0, -0.4444444444444444d0, 0d0, &
0d0, 0d0, 5.333333333333333d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0 &
/)*Nf*Lmu**2 &
+ &
(/ -1.333333333333333d0, -39.1111111111111d0, 37.77777777777778d0, 0d0, &
0d0, 0d0, 24.d0, 5.333333333333333d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0 &
/)*Nf*Lmu &
+ &
(/ 5.77777777777778d0, -47.33333333333333d0, 29.11111111111111d0, 0d0, &
0d0, 0d0, 22.66666666666667d0, 3.333333333333333d0, &
0.8888888888888889d0, 0d0, 0d0, 0d0, 0d0, 2.d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0 &
/)*Nf &
+ &
(/ -60.d0, 264.d0, -198.d0, -72.d0, 0d0, 0d0, -144.d0, 0d0, 0d0, 0d0, -72.d0,&
0d0, 0d0, 0d0, 0d0, 0d0, 144.d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 144.d0 &
/)*Lmu**2 &
+ &
(/ -279.7410112522892d0, 310.8705056261446d0, -76116.72957522413d0, 227435.0426425998d0, &
14694.948622119973d0, 7852.982835926467d0, -126287.08683080797d0, 7681.9523265155985d0, &
-8787.429745152553d0, 6.185373636685077d0, 23141.842469436266d0, -19380.192645494557d0, &
1155.442799035533d0, 141976.8483303002d0, 3519.441399895187d0, 534.3309563046148d0, &
-51718.27724334603d0, -3446.5407125396396d0, -531.5164360812116d0, 247552.22667564978d0, &
36865.788952674775d0, 27062.399526573845d0, -72096.79062441169d0, 50707.86861234319d0 &
/)*Lmu &
+ &
(/ -437.3941105612035d0, 634.026514631848d0, -108148.8778338832d0, 335894.17252322356d0, &
28631.91754486051d0, 11693.126422797315d0, -190633.32403480247d0, -4486.984018390231d0, &
-12511.948840348732d0, 11.66555510600327d0, 24455.47310680199d0, -18479.39608475271d0, &
1203.1211921227507d0, 207544.7184684116d0, 3550.179717964366d0, 542.2298125036455d0, &
-39719.99391154532d0, -3459.316434977435d0, -539.4220461167924d0, 349237.40838496963d0, &
93903.92860129807d0, 24720.14896600743d0, -108434.67427803481d0, 59112.06208671693d0/)
Coeff_g_g=Coeff_g_g+alpha*alpha*inter
if(order_global>=3) then
inter(1:13)=(/ &!!Exact part
-14020d0/3d0 - 864d0*Lmu**3 + (56d0*Nf**2)/9d0 + Nf*(592d0/9d0 - (182d0*zeta2)/3d0) &
+ 1518d0*zeta2 + Lmu**2*(-6432d0 + 320d0*Nf + 2160d0*zeta2) + 2736d0*zeta3 &
+ Lmu*(-12974d0 + (1922d0*Nf)/3d0 + (4d0*Nf**2)/3d0 + 432d0*zeta2 + 6048d0*zeta3), & !log(1-x),
-1432d0 + 1728d0*Lmu**2 + 864d0*Lmu**3 + (8d0*Nf**2)/9d0 + Lmu*(-468d0 + 48d0*Nf) &
+ 468d0*zeta2 + Nf*(164d0/3d0 + 6d0*zeta2),& !log(1-x)^2
-176d0 + 432d0*Lmu + (32d0*Nf)/3d0, & !log[1-x]^3,
0d0, 0d0, & !log[1-x]^4, Log[1-x]^5
1572769d0/9d0 - (103448d0*zeta2)/3d0 + Lmu**3*(-4270d0 + 88d0*Nf + (8d0*Nf**2)/81d0 &
+ 864d0*zeta2) + Lmu**2*(12532d0 - (640d0*Nf**2)/81d0 - 2178d0*zeta2 + Nf*(5924d0/9d0 &
+ 20d0*zeta2) - 3456d0*zeta3) + Nf**2*(-54584d0/2187d0 - (800d0*zeta3)/27d0) &
- 16128d0*zeta3 + 2160d0*zeta2*zeta3 - 41184d0*zeta4 + Nf*(743104d0/729d0 &
- (17254d0*zeta2)/81d0 - (23296d0*zeta3)/81d0 + (25544d0*zeta4)/81d0) + Lmu*(-354278d0/3d0 &
- (1652d0*Nf**2)/81d0 + 25686d0*zeta2 + Nf*(15230d0/9d0 - 360d0*zeta2 - (6496d0*zeta3)/27d0) &
+ 38544d0*zeta3 + 8937d0*zeta4) - 33264d0*zeta5, & ! 1/x
75584d0/3d0 + Lmu**3*(-1584d0 + (256d0*Nf)/9d0) - 7504d0*zeta2 + Lmu**2*((2288d0*Nf)/9d0 &
+ 216d0*zeta2) - 1584d0*zeta3 + Nf*(-18640d0/243d0 - (256d0*zeta2)/27d0 + 224d0*zeta3) &
+ Lmu*(-18960d0 + 4752d0*zeta2 + Nf*(3416d0/27d0+ (32d0*zeta2)/3d0) + 6048d0*zeta3) &
- 3528d0*zeta4, & ! log[x]/x
-144d0*Lmu**3 + 1728d0*zeta3, & ! log[x]^2/x
164484d0/5d0 + Lmu**3*(-432d0 + (176d0*Nf)/9d0 - (32d0*Nf**2)/27d0) + 3343d0*zeta2 &
+ Lmu**2*(3984d0 - (512d0*Nf**2)/27d0 + Nf*(-2080d0/9d0 - (2128d0*zeta2)/9d0) &
+ 3672d0*zeta2) + Nf**2*(-30316d0/729d0 - (1888d0*zeta2)/81d0 - (512d0*zeta3)/27d0) &
- 3888d0*zeta3 + Lmu*(-13945d0 + Nf**2*(-364d0/9d0 - (128d0*zeta2)/9d0) + 324d0*zeta2 &
+ Nf*(-7568d0/9d0 - (5788d0*zeta2)/9d0 - (5824d0*zeta3)/9d0) + 12096d0*zeta3) &
+ Nf*(-2047364d0/1215d0 - (766d0*zeta2)/3d0 - (23968d0*zeta3)/27d0 - (19546d0*zeta4)/27d0) &
+ 11448d0*zeta4, & ! Log[x]
-6667d0 + Lmu**2*(-504d0 - (656d0*Nf)/9d0) + Lmu**3*(144d0 - (512d0*Nf)/27d0) &
+ Nf**2*(-3724d0/243d0 - (64d0*zeta2)/27d0) + 927d0*zeta2 + Lmu*(6483d0 - (404d0*Nf**2)/27d0 &
+ Nf*(-528d0 - (1444d0*zeta2)/9d0) + 2808d0*zeta2) + Nf*(-38672d0/81d0 - (6592d0*zeta2)/27d0 &
- (10432d0*zeta3)/27d0) + 6336d0*zeta3, & ! Log^2[x]
7034d0/3d0 + Lmu**2*(288d0 - (1024d0*Nf)/27d0) - (296d0*Nf**2)/243d0 + Lmu*(-288d0 &
- (280d0*Nf)/3d0 + (16d0*Nf**2)/27d0) + Nf*(-17968d0/81d0 - (1844d0*zeta2)/81d0) + 468d0*zeta2, & ! Log^3[x]
-62d0 + Lmu*(180d0 - (640d0*Nf)/27d0) - (1568d0*Nf)/81d0 + (8d0*Nf**2)/81d0, & ! Log^4[x]
144d0/5d0 - (512d0*Nf)/135d0 /) ! Log^5[x]
inter(14:37) = &!!!! approximate part computed by Mathematica
(/ -2.37037037037037d0, 1.382716049382716d0, 0.09876543209876543d0, 0d0, &
0d0, 0d0, -1.185185185185185d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0 &
/)*Nf**2*Lmu**3 &
+ &
(/ -14.06767929017998d0, 21.96891385808122d0, -0.4183597841221291d0, -10.123439983450782d0, &
0.4186297605669643d0, -0.21664784284161404d0, -6.181913462447272d0, -1.7481662020531836d0, &
0.30796469565463613d0, -0.00008052725820166228d0, -1.1918315476653107d0, 1.2876876210499666d0, &
-0.0942231431841472d0, 6.013190755987933d0, 0.05432647731543677d0, 0.0077842716068921465d0, &
-2.419233143228511d0, -0.05336961603267109d0, -0.00774774545216196d0, 3.599106241151542d0, &
2.7120858036419553d0, -0.36825531632688485d0, -0.9241890362625219d0, -2.6778132221507063d0 &
/)*Nf**2*Lmu**2 &
+ &
(/ -93.8382660349475d0, 115.1222166522315d0, -22.303597652885507d0, -40.21338245665678d0, &
1.1354830591710579d0, -1.1769008324493675d0, -23.41070799332935d0, -27.818818398578536d0, &
2.396266223974132d0, -0.00035695401617199575d0, -25.92344077903917d0, 9.758389806818519d0, &
-0.6396062122015982d0, 16.656644979192006d0, 0.2593645206016529d0, 0.037446160884602245d0, &
-2.614939451493282d0, -0.25469881516546633d0, -0.03726780577538688d0, 17.999107117426796d0, &
10.600267537403617d0, -3.1728342768020217d0, -0.6727225093261171d0, -1.1889482577656703d0 &
/)*Nf**2*Lmu &
+ &
(/ -80.3831871276814d0, 169.9911535600553d0, -55.0116181826182d0, -74.25396724742407d0, &
1.400134563968624d0, -2.5827478882047696d0, -21.952914745699974d0, -39.31327050332188d0, &
1.4650514160902537d0, 0.09753675482999398d0, -28.818057067036392d0, 11.911127239042397d0, &
-0.5390546384537974d0, 16.67779351522091d0, -2.650240121234823d0, 0.16034365274369056d0, &
8.995889716464315d0, -0.6202620246492179d0, 0.03724224125466998d0, 23.906829321526043d0, &
9.687315349036552d0, -6.71643150603122d0, 5.345088379088654d0, 0.7269062355233182d0 &
/)*Nf**2 &
+ &
(/ -172.595080226752d0, 113.9284135600853d0, 54.72970663340388d0, -17.95512876659481d0, &
-0.5119537977728488d0, -0.13142462686241485d0, -8.844891010000145d0, 45.607817409146406d0, &
0.13120451120777019d0, -0.00020952843080140242d0, 10.668650507791332d0, -0.15392688571611104d0, &
-0.006837243639087208d0, 5.240811474559813d0, 0.32088370313714926d0, 0.04661760421956784d0, &
-26.31388527333646d0, -0.3149994850022332d0, -0.04639230851446269d0, -5.870214501378134d0, &
-10.35184462591085d0, -0.8538506750299095d0, -1.567253393897597d0, -24.30307137641227d0 &
/)*Nf*Lmu**3 &
+ &
(/ -1257.974111216652d0, 478.592416459644d0, -70.40565975959595d0, 3331.224276483943d0, &
580.9779120083d0, 105.09591416647865d0, -2079.6191411233626d0, -512.8408392515436d0, &
-15.235130397163633d0, 0.19857298330395556d0, 200.01040292709916d0, 277.13765156003933d0, &
-14.394339544514498d0, 1730.9215036774444d0, -31.75121754778609d0, -5.051908774367486d0, &
892.477503662088d0, 31.004432456500158d0, 5.022821568607085d0, 2593.3337307481193d0, &
2683.1788333461377d0, -504.9761790276198d0, -1112.5531691510164d0, -533.4676992641519d0 &
/)*Nf*Lmu**2 &
+ &
(/ -3497.98349876396d0, 2090.12292711375d0, 224637.60847624866d0, -674762.360510647d0, &
-46501.010853960666d0, -23431.73002359432d0, 376125.7320257752d0, -15677.238140561289d0, &
26259.68007623272d0, 17.361869702751893d0, -63879.12286282953d0, 53141.51834222993d0, &
-3271.6312486015217d0, -420595.0589062043d0, -9636.491462033977d0, -1467.0038916272879d0, &
137026.76020897328d0, 9410.13458106331d0, 1456.3511666781703d0, -726695.6568771134d0, &
-126616.3488864514d0, -73555.0402288353d0, 214814.51945746905d0, -142740.21125535117d0 &
/)*Nf*Lmu &
+ &
(/ -5106.91113556904d0, 3242.03774067862d0, -131459.9761206949d0, 2260157.9179418124d0, &
273164.80175895116d0, 93319.1013274207d0, -948136.9756587398d0, -287826.4996675914d0, &
-69728.5153847615d0, 274.12418923594026d0, -355479.5627864812d0, 140469.61640415108d0, &
-13870.888819228723d0, 801162.4217650415d0, 2147.7827035809023d0, 475.67469649576157d0, &
282010.17968242837d0, -1882.5825444216928d0, -461.4238376413187d0, 1367356.0166587536d0, &
941988.6809300713d0, -66365.76667587527d0, -590159.488724148d0, 47987.58650937422d0 &
/)*Nf &
+ &
(/ 1244.d0, -58.446067513735d0, -5216.856603562426d0, 6017.507101300683d0, &
463.4409894570864d0, 156.2738849088021d0, -3064.4824289595404d0, -2029.3631616267785d0, &
-291.56494801395803d0, 0.05609466903813764d0, 7109.357162418047d0, 437.4717030369035d0, &
137.1081545288258d0, 1107.8333994939396d0, -2394.65365570667d0, -78.38641093781266d0, &
5994.683350137116d0, 659.4648682049817d0, 78.11795289383987d0, 12384.683029773765d0, &
-3393.5030664165656d0, -3458.226179623217d0, -369.6185947175731d0, 4969.237574661922d0 &
/)*Lmu**3 &
+ &
(/ -3074.927441799293d0, -5546.63505472632d0, -3612960.133389416d0, 11753160.913383693d0, &
1378492.2082445452d0, 414754.8398099961d0, -6946497.684580832d0, -1033191.3015051303d0, &
-416483.1470880283d0, 536.6859165534612d0, 281064.03362685716d0, -94757.88812547995d0, &
19013.383372631353d0, 7217843.562271608d0, 46693.34761617414d0, 6190.8170843601365d0, &
727420.2930883368d0, -46845.183517555284d0, -6163.899782781849d0, 11319613.202597812d0, &
5668002.636683398d0, 32215.496287084487d0, -3939100.4730418706d0, 1182411.1376309213d0 &
/)*Lmu**2 &
+ &
(/ 46690.9449936092d0, -24991.7519522712d0, -11727221.755060362d0, 41927416.57626116d0, &
7012877.193730939d0, 1518220.926867407d0, -26302663.21687959d0, -8570036.965322932d0, &
-1366099.8597695287d0, 2031.6145109953145d0, -1962477.923479717d0, 2775049.484470149d0, &
-63326.100095429254d0, 25438312.464124486d0, -348030.0016889494d0, -55469.80990964071d0, &
14306111.510047743d0, 339113.78142936d0, 54920.137859771945d0, 35451432.57335606d0, &
33083144.020927094d0, -4684849.293127669d0, -14809006.60121325d0, -900995.9816314322d0 &
/)*Lmu &
+ &
(/ 10071.26376885732d0, -26382.03920419378d0, 5902362.259911467d0, -55207749.23142851d0, &
-3064162.3794858526d0, -2187131.724776452d0, 21107857.300875414d0, -1429513.9072325323d0, &
1919039.0859595556d0, -5319.677805355966d0, 2685156.614970081d0, 2035351.5122670475d0, &
78531.16993579347d0, -20823454.86009278d0, -854391.060484691d0, -133043.62182469876d0, &
12803895.946836378d0, 835429.123218491d0, 132111.5844099395d0, -43027963.51892143d0, &
-1379746.8890004286d0, -6318383.538237535d0, 13323182.55528821d0, -9914427.904937435d0/)
Coeff_g_g=Coeff_g_g+alpha**3*inter
end if
end if
end if
end subroutine Set_Coeff_g_g
!!!!!coefficient function q<-qb regular-part
subroutine Set_Coeff_q_qb(alpha,Nf,Lmu)
real(dp), intent(in) ::alpha,Nf,Lmu
real(dp),dimension(1:37)::inter
! the LO and NLO are zero, therefore calculation should be done only for order >=2
Coeff_q_qb=0d0
if(order_global>=2) then
!!! checked AV(24.06.22) !!!
inter(1:13)=(/ &!!Exact part
0d0, 0d0, 0d0, 0d0, 0d0, & !log(1-x), log(1-x)^2, log[1-x]^3, log[1-x]^4, Log[1-x]^5
0d0, 0d0, 0d0, & ! 1/x, Log(x)/x, log[x]^2/x
-4d0/3d0 + 16d0*Lmu/9d0,& ! log[x]
8d0*Lmu/9d0, & !log[x]^2
4d0/27d0,& !Log^3(x)
0d0, 0d0/) !log^4[x], Log^5[x]
inter(14:37) = &!!!! approximate part computed by Mathematica
(/ 0.631228325603153d0, -0.631228325603153d0, 3942.529581486256d0, -11850.261412231383d0, &
-827.4590575503554d0, -408.404722864862d0, 6629.091487489141d0, -262.50389028854295d0, &
452.0671507296439d0, -0.3399093126032732d0, -1142.847497410903d0, 918.0680132938099d0, &
-55.7470005177331d0, -7389.33921793817d0, -169.5326415952526d0, -25.69939765518913d0, &
2353.6235491505718d0, 166.03617583231753d0, 25.56445089746481d0, -12776.285572478779d0, &
-2298.83622137161d0, -1264.9377358848137d0, 3778.325387326013d0, -2514.899544740347d0&
/)*Lmu &
+ &
(/ -3.348670846768813d0, 3.348670846768813d0, 5397.706006552403d0, -16828.78761110459d0, &
-1508.619112415608d0, -585.799858610073d0, 9582.778304158983d0, 391.3917345296116d0, &
619.6649793848344d0, -0.6059653892685178d0, -1110.5104219580835d0, 821.7274847481704d0, &
-55.169591667418906d0, -10370.833023230267d0, -169.627665732229d0, -25.453051086253883d0, &
1624.4184400879947d0, 166.23015697183678d0, 25.322217832496175d0, -17317.17331275877d0, &
-5122.288348120117d0, -1099.449659019894d0, 5451.427375012384d0, -2821.4902017469344d0/)
Coeff_q_qb=Coeff_q_qb+alpha*alpha*inter
if(order_global>=3) then
inter(1:13)=(/ &!!Exact part
0d0, 0d0, 0d0, 0d0, 0d0, & !log(1-x), log(1-x)^2, log[1-x]^3, log[1-x]^4, Log[1-x]^5
0d0, 0d0, 0d0, & ! 1/x, Log(x)/x, log[x]^2/x
54976d0/243d0 + Lmu**2*(848d0/27d0 - (32d0*Nf)/27d0 - (128d0*zeta2)/9d0) &
- (3344d0*zeta2)/81d0 + Lmu*(5744d0/27d0 + Nf*(-512d0/81d0 - (32d0*zeta2)/27d0) &
+ (1216d0*zeta2)/27d0 - (1376d0*zeta3)/27d0) + Nf*(704d0/729d0 - (736d0*zeta2)/243d0 &
- (32d0*zeta3)/81d0) - (6448d0*zeta3)/81d0 + (1484d0*zeta4)/27d0, & !log[x]
18620d0/243d0 + Lmu**2*(296d0/27d0 - (16d0*Nf)/27d0) + Lmu*(3488d0/27d0 - (304d0*Nf)/81d0 &
- (1336d0*zeta2)/27d0) + Nf*(-1544d0/729d0 - (64d0*zeta2)/81d0) + (2672d0*zeta2)/81d0 &
- (7432d0*zeta3)/81d0, & !log^2[x]
6544d0/243d0 + (64d0*Lmu**2)/81d0 + Lmu*(184d0/81d0 - (16d0*Nf)/27d0) &
- (688d0*Nf)/729d0 - (2240d0*zeta2)/243d0, & !log^3[x]
28d0/81d0 + (122d0*Lmu)/81d0 - (32d0*Nf)/243d0, & !log^4[x]
38d0/135d0/) !Log^5[x]
inter(14:37) = &!!!! approximate part computed by Mathematica
(/ -0.420818883735435d0, 0.420818883735435d0, -2628.3530413513986d0, 7900.174226179467d0, &
551.6393679057725d0, 272.2698134826626d0, -4419.3943012587915d0, 175.00259320736896d0, &
-301.3780987848556d0, 0.22660620603373544d0, 761.8983306794843d0, -612.045339191858d0, &
37.16466698976035d0, 4926.226119446405d0, 113.02176016151641d0, 17.132931627758513d0, &
-1569.0823543972272d0, -110.69078300713133d0, -17.042967123424216d0, 8517.52366831298d0, &
1532.5574752264667d0, 843.2918177173582d0, -2518.8835775375555d0, 1676.599686110977d0 &
/)*Nf*Lmu**2 &
+ &
(/ -5.35996339836418d0, 5.35996339836418d0, -14805.161604623514d0, 45440.189026283726d0, &
3665.348823735255d0, 1574.4336406463633d0, -25641.152262748794d0, -118.96997505961468d0, &
-1698.9086270678636d0, 1.487177716971577d0, 3614.0688502149733d0, -2810.7462596099863d0, &
177.3688731646266d0, 28122.97415772642d0, 546.9015504990884d0, 82.53079856027551d0, &
-6534.226468065827d0, -535.7668916672405d0, -82.10147655556435d0, 47750.03685019893d0, &
11489.322320793888d0, 3839.056840073771d0, -14601.242591681132d0, 8550.581997541578d0 &
/)*Nf*Lmu &
+ &
(/ 1.485884839629099d0, -1.485884839629099d0, -22994.341565343188d0, 71751.65215591916d0, &
6335.087188821391d0, 2500.4097568023412d0, -40705.60745489642d0, -1437.2641312254184d0, &
-2649.8122810074865d0, 2.7005693572703215d0, 4841.363855026909d0, -3643.2836235552572d0, &
239.99662073010091d0, 44133.036313448996d0, 746.7408141905988d0, 112.15083499804393d0, &
-7548.638476250211d0, -731.7460894190867d0, -111.57330056937465d0, 73977.38612458899d0, &
21080.169147515815d0, 4932.1492687421205d0, -23168.047798120224d0, 12275.564785646236d0 &
/)*Nf &
+ &
(/ -11.64286011500031d0, 11.64286011500031d0, 107752.36705045619d0, -345549.48458220554d0, &
-37628.78624273229d0, -12119.719764778662d0, 202053.24899377595d0, 23549.2704298831d0, &
12337.138215870556d0, -14.704585990530498d0, -13387.144820630327d0, 7077.3950605701975d0, &
-725.6157125000607d0, -212527.8857723942d0, -1923.761085812927d0, -280.15739409464777d0, &
-4262.906074784453d0, 1888.516866167127d0, 278.8100157376913d0, -340428.577762145d0, &
-147088.65697607037d0, -7364.503788872913d0, 114576.43891555582d0, -41900.35475008881d0 &
/)*Lmu**2 &
+ &
(/ 330.8644482622595d0, -330.8644482622595d0, 203799.95755766265d0, -627776.6397155327d0, &
-50448.469097114095d0, -21777.585983741916d0, 352793.0656816167d0, 980.0035386346508d0, &
23451.39638408572d0, -20.674244294554626d0, -49531.46168335397d0, 39206.64181817516d0, &
-2407.5498908330223d0, -387113.454716415d0, -7698.846483369285d0, -1162.765647178553d0, &
93677.66636436332d0, 7541.732993294718d0, 1156.7067229191632d0, -659129.0169248356d0, &
-154174.4971070573d0, -54380.54227904041d0, 201008.28302119556d0, -119291.66525922473d0 &
/)*Lmu &
+ &
(/ 121.0074075176244d0, -121.0074075176244d0, 186589.00311887404d0, -569994.4923939075d0, &
-42051.932248569574d0, -19673.026862332146d0, 316062.8250434273d0, -8185.794307328427d0, &
21368.77761981082d0, -19.40466434228386d0, -49831.13490861227d0, 41437.97994454532d0, &
-2347.7073177020015d0, -350582.39077280846d0, -8042.389009653743d0, -1221.037528027165d0, &
109204.71700366706d0, 7876.214076894238d0, 1214.6050948781424d0, -606430.380966919d0, &
-112765.1374329637d0, -59211.74145105641d0, 180432.8596727076d0, -118492.80482198505d0/)
Coeff_q_qb=Coeff_q_qb+alpha**3*inter
end if
end if
end subroutine Set_Coeff_q_qb
!!!!!coefficient function q<-qp regular-part
subroutine Set_Coeff_q_qp(alpha,Nf,Lmu)
real(dp),intent(in)::alpha,Nf,Lmu
real(dp),dimension(1:37)::inter
! the LO and NLO are zero, therefore calculation should be done only for order >=2
Coeff_q_qp=0d0
!------The kernels are calculated in mathematica
if(order_global>=2) then
!!! checked AV(24.06.22) !!!
inter(1:13)=(/ &!!Exact part
0d0, 0d0, 0d0, 0d0, 0d0, & !log(1-x), log(1-x)^2, log[1-x]^3, log[1-x]^4, Log[1-x]^5
688d0/81d0 - 208d0*Lmu/27d0 + 16d0*Lmu**2/9d0 - 32d0*zeta2/9d0, 0d0, 0d0, & ! 1/x, Log(x)/x, log[x]^2/x
8d0/3d0 - 8d0*Lmu/3d0 + 8d0*Lmu**2/3d0, &! log[x]
-2d0/3d0 + 8d0*Lmu/3d0, & !log[x]^2
4d0/9d0,& !Log^3(x)
0d0, 0d0/) !log^4[x], Log^5[x]
inter(14:37) = &!!!! approximate part computed by Mathematica
(/ 1.333333333333333d0, -3.111111111111111d0, 1.777777777777778d0, 0d0, &
0d0, 0d0, 2.666666666666667d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0 &
/)*Lmu**2 &
+ &
(/ 10.66666666666667d0, -2.96296296296296d0, -13.03703703703704d0, 0d0, &
0d0, 0d0, -15.11111111111111d0, 2.666666666666667d0, &
0d0, 0d0, 7.111111111111111d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0 &
/)*Lmu &
+ &
(/ -3.227018310142792d0, 0.58184560955377d0, 0.12542507033692735d0, -1.07181185106891d0, &
0.12046794593765435d0, -0.011732578381194772d0, -0.9478751341693092d0, -3.162642880410607d0, &
0.36474315015100084d0, -0.00011477503707994981d0, -3.449118717407772d0, 2.3200949718842585d0, &
0.08744322026774756d0, -0.2833666908091895d0, 0.021551416183886923d0, 0.0033218762064403337d0, &
-0.6834343481246384d0, -0.0210860129627325d0, -0.0033038547215126697d0, -0.1819525104954756d0, &
-0.9790941516231819d0, 0.25627829419410336d0, 0.20543357146845326d0, 0.22088733720695408d0/)
Coeff_q_qp=Coeff_q_qp+alpha*alpha*inter
if(order_global>=3) then
!!! checked AV(24.06.22) !!!
inter(1:13)=(/ &!!Exact part
0d0, 0d0, 0d0, 0d0, 0d0, & !log(1-x), log(1-x)^2, log[1-x]^3, log[1-x]^4, Log[1-x]^5
-1863800d0/729d0 + Lmu**3*(352d0/9d0 - (64d0*Nf)/81d0) + (134432d0*zeta2)/243d0 &
+ Lmu**2*(-6808d0/27d0 + (32d0*Nf)/27d0 + (512d0*zeta2)/27d0) + Lmu*(106112d0/81d0 &
- (25664d0*zeta2)/81d0 + Nf*(-2176d0/243d0 + (128d0*zeta2)/27d0) - (6848d0*zeta3)/27d0) &
+ Nf*(33856d0/2187d0 - (64d0*zeta2)/27d0 - (128d0*zeta3)/27d0) + (47072d0*zeta3)/81d0 &
+ (11872d0*zeta4)/27d0, & ! 1/x,
-68608d0/243d0 - (416d0*Lmu**2)/9d0 + (64d0*Lmu**3)/9d0 + Lmu*(4544d0/27d0 - (128d0*zeta2)/3d0) &
+ (832d0*zeta2)/9d0 + (128d0*zeta3)/3d0, & ! Log(x)/x
0d0, & ! Log^2(x)/x
-150656d0/243d0 + Lmu**3*(176d0/9d0 - (32d0*Nf)/27d0) + Lmu**2*(-152d0/9d0 - (208d0*Nf)/27d0 &
- (704d0*zeta2)/9d0) + (6304d0*zeta2)/27d0 + Lmu*(16352d0/27d0 + Nf*(-1472d0/81d0 &
- (64d0*zeta2)/9d0) + (256d0*zeta2)/3d0 - (1184d0*zeta3)/3d0) + Nf*(-15760d0/729d0 &
- (320d0*zeta2)/81d0 - (64d0*zeta3)/27d0) + 80d0*zeta3 - (9808d0*zeta4)/27d0, & !log[x]
22244d0/81d0 - (80d0*Lmu**3)/27d0 + Lmu**2*(344d0/9d0 - (16d0*Nf)/9d0) + Lmu*(-908d0/9d0 &
- (208d0*Nf)/27d0 - (352d0*zeta2)/9d0) + Nf*(-1616d0/243d0 - (64d0*zeta2)/27d0) &
- (272d0*zeta2)/27d0 - (3856d0*zeta3)/27d0, & !log^2[x]
-3044d0/81d0 - (160d0*Lmu**2)/27d0 + Lmu*(920d0/27d0 - (32d0*Nf)/27d0) - (392d0*Nf)/243d0 &
- (512d0*zeta2)/81d0, & !log^3[x]
580d0/81d0 - (40d0*Lmu)/9d0 - (20d0*Nf)/81d0, & !log^4[x]
-20d0/27d0/) !log^5[x]
inter(14:37) = &!!!! approximate part computed by Mathematica
(/ -0.592592592592593d0, 1.382716049382716d0, -0.7901234567901235d0, 0d0, &
0d0, 0d0, -1.185185185185185d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, &
0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0, 0d0 &
/)*Nf*Lmu**3 &
+ &
(/ -15.92272853397888d0, 14.73754334879369d0, 1.0252538396533557d0, -2.549529895855797d0, &
0.04980677724263695d0, -0.04396025340935776d0, -2.0913130128550312d0, -2.0578851054039844d0, &
0.05992354701341488d0, -0.00002366416919235366d0, -3.218893648958056d0, 0.21862710712005565d0, &
-0.01679450111497901d0, 1.3006945991391052d0, 0.023857503055877093d0, 0.003447652486971469d0, &
-1.589350533850617d0, -0.023426671052609524d0, -0.0034311752963447d0, 0.36937006205051987d0, &
0.021153615797440857d0, -0.1018603242093906d0, -0.2238522602731073d0, -1.542308577721926d0 &
/)*Nf*Lmu**2 &
+ &
(/ -47.8425032432307d0, 48.9990298069791d0, -1.8872796188149785d0, 1.5979813182566829d0, &
0.8961507765025266d0, -0.2536807645991519d0, -3.7613469447595915d0, -9.395680537818867d0, &
-1.06752606587877d0, -0.0003301284548967919d0, -0.5161127774724069d0, 0.6294186686322646d0, &
0.12428449454682541d0, -8.791796770765814d0, -1.5262861816211084d0, -0.07275739525832361d0, &
18.155129594957362d0, 0.6311901392456124d0, 0.07252751340283625d0, 10.325641973958374d0, &
6.143450578411127d0, -12.94536882717889d0, 2.4717646097444574d0, 9.027005665514377d0 &
/)*Nf*Lmu &
+ &
(/ -59.0986813840636d0, 53.215857504091d0, 24.140580816241688d0, -81.72866050674769d0, &
1.3206302292644807d0, -4.074416991895965d0, 39.15910709887204d0, -27.58896765759569d0, &
4.609495225201512d0, -0.24899651372285408d0, -40.266596115858064d0, 16.43634624395365d0, &
-2.2226721800736526d0, -65.72164767822024d0, 0.3345481347358888d0, -0.12896414486625019d0, &
90.3254995412478d0, -0.8348484413196592d0, 0.029945831270512233d0, -112.47085193301878d0, &
72.84118484216567d0, -35.67902958276407d0, 24.391166281810015d0, -19.72387321689641d0 &
/)*Nf &
+ &
(/ -50.6238567542754d0, 11.5127456431643d0, 22.124749485703727d0, -3.8947324435674817d0, &
-0.38514171215422927d0, 0.014489141250248194d0, -1.297568437191498d0, 13.909716176015246d0, &
-0.04691064777364909d0, -0.00006867864638985566d0, 10.240064284050815d0, -0.516961266144533d0, &
0.030172101859048134d0, 0.470069521401996d0, 0.12238108465767968d0, 0.01782118827051471d0, &
-10.56834322168105d0, -0.12012179896512673d0, -0.017734642854523096d0, -3.833777027185487d0, &
-5.345033831305193d0, -0.23584027284081305d0, -0.20877074496690337d0, -9.551238269214487d0 &
/)*Lmu**3 &
+ &
(/ 263.2674024272627d0, -42.312078065274d0, -571.6921420329305d0, 1498.7651660590557d0, &
302.2922211381266d0, 48.5627349393934d0, -1032.637861681827d0, -462.2666059625852d0, &
-21.69974555994333d0, 0.09742244515098d0, -68.17724526126959d0, 190.28115151756995d0, &
-8.161096717422804d0, 946.3762152458621d0, -16.538325077968015d0, -2.6222429252654256d0, &
792.3098169309293d0, 16.15282334739656d0, 2.607236141852663d0, 1346.214237066315d0, &
1486.5364674893049d0, -285.1373664296378d0, -553.1143081841441d0, 11.875251597455774d0 &
/)*Lmu**2 &
+ &
(/ -786.575347190271d0, 302.608000401427d0, 5366.1863325109825d0, -14997.200488514503d0, &
-1298.3365715143016d0, -524.0546539255815d0, 9089.629389906473d0, 305.1539111618705d0, &
570.9216205522708d0, 7.81103796325521d0, -1731.926657876008d0, 808.7962711676832d0, &
-69.44538624583392d0, -9904.852499705194d0, -64.16765612518256d0, -9.968135847410316d0, &
196.85796755082856d0, 72.02113171222993d0, 11.392872964214373d0, -16086.156630396485d0, &
-6131.562800017792d0, -418.3470137766061d0, 5135.296977075216d0, -2229.4721657228165d0 &
/)*Lmu &
+ &
(/ 383.2125465551824d0, 88.97325459697d0, -2269.143315786094d0, -127490.23219337668d0, &
-10003.736291069717d0, -4837.284462832547d0, 46632.83638353811d0, 2307.260465798782d0, &
3327.0726897549885d0, -52.71914150605516d0, 16174.623029027776d0, -2349.811027529514d0, &
506.6983717307881d0, -40608.98157324396d0, -772.3222874172269d0, -191.4272992139688d0, &
2588.140813926824d0, 662.2086466156652d0, 183.51086095936924d0, -74499.37187804801d0, &
-31743.10247894145d0, -3511.1266352060857d0, 31106.518414717415d0, -6721.7208256652975d0/)
Coeff_q_qp=Coeff_q_qp+alpha**3*inter
end if
end if
end subroutine Set_Coeff_q_qp
!!! This function has been used during debuging
subroutine CheckCoefficient(as,Nf,Lmu,z)
real(dp)::Lmu,as,z,Nf,lz,l1z
real(dp), dimension(1:37)::func
real(dp), dimension(1:3)::func1
func=parametrizationString(z)
func1=(/1d0/(1d0-z),Log(1d0-z)/(1d0-z),Log(1d0-z)**2/(1d0-z)/)
!!Q->Q
! call Set_CoeffSing1_q_q(as,Nf,Lmu)
! call Set_Coeff_q_q(as,Nf,Lmu)
! write(*,*) SUM(Coeff_q_q*func)!+SUM(CoeffSing1_q_q*func1)
!!Q->G
! ! call Set_Coeff_q_g(as,Nf,Lmu)
! ! write(*,*) SUM(Coeff_q_g*func)
! !!Q->Q'
! call Set_Coeff_q_qp(as,Nf,Lmu)
! write(*,*) SUM(Coeff_q_qp*func)
!!Q->Qbar
! call Set_Coeff_q_qb(as,Nf,Lmu)
! write(*,*) SUM(Coeff_q_qb*func)
! !! G->Q
! call Set_Coeff_g_q(as,Nf,Lmu)
! write(*,*) SUM(Coeff_g_q*func)
! !!G->G
call Set_CoeffSing1_g_g(as,Nf,Lmu)
call Set_Coeff_g_g(as,Nf,Lmu)
write(*,*) SUM(Coeff_g_g*func)!+SUM(CoeffSing1_g_g*func1)
end subroutine CheckCoefficient
| 72,350 | 55.30428 | 137 | f90 |
artemide-public | artemide-public-master/src/Code/uTMDPDF/convolutions.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of uTMDPDF module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Routines for evaluation of TMD distributions------------------------------
!!!-------------------------the actual calculation takes a place in twist2 code---------------------------
!!!-------------------------------------------------------------------------------------------------------
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Convolutions!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!-------------------------------------------------
!!!!array of x times PDF(x,Q) for hadron 'hadron'
!!!! array is (-5:5) (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function xf(x,Q,hadron)
real(dp) :: x,Q
integer:: hadron
real(dp), dimension(-5:5):: xf
xf=xPDF(x,Q,hadron)
end function xf
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,??,d,u,s, c ,b
!!---Gluon contribution is undefined
!!---Base version: hadron=number of PDF
!---------------------------------------------------------------------
!---------------------------------------------------------------------
function uTMDPDF_base5(x,bT,hadron)
real(dp),dimension(-5:5)::uTMDPDF_base5
real(dp) :: x, bT
integer::hadron
!!! variables for restoration only
real(dp),dimension(-5:5) :: fNP_grid,fNP_current
integer::j
!!!! if the coefficient function is not used at all. Just return fNP
if(order_global==-50) then
uTMDPDF_base5=fNP(x,1d0,bT,hadron,lambdaNP)
!!! in the case the greed has been calculated AND the hadron is in the grid
else if(gridReady .and. ANY(hadronsInGRID.eq.hadron)) then
uTMDPDF_base5=ExtractFromGrid(x,bT,hadron)
!!!!!!!!!!This is procedure of restoration of function from the initial grid
!!! if fNP is x-independent then the value can be obtained by TMDPDF(initial) fNP(current)/fNP(initial)
if(.not.IsFnpZdependent) then
fNP_grid=FNP(x,0d0,bT,hadron,lambdaNP_grid)
fNP_current=FNP(x,0d0,bT,hadron,lambdaNP)
do j=-5,5
if(fNP_grid(j)==0) then
if(fNP_current(j)/=0 .and. ((j/=0).or.(.not.withGluon))) then
if(outputLevel>0) &
call Warning_Raise('error in restoration: original value is zero. TMDPDF set to zero. b='&
//numToStr(bT)//' x='//numToStr(x)//' f='//numToStr(j),&
messageCounter,messageTrigger,moduleName)
end if
uTMDPDF_base5(j)=0!!!! this is case then 0/0
else
uTMDPDF_base5(j)=uTMDPDF_base5(j)*fNP_current(j)/fNP_grid(j)
end if
end do
end if
!!!! finally just calculation
else
uTMDPDF_base5=Common_lowScale5(x,bT,hadron)
end if
end function uTMDPDF_base5
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu the GLUON INCLUDED
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,g,d,u,s, c ,b
!!---Base version: hadron=number of PDF
!---------------------------------------------------------------------
!---------------------------------------------------------------------
function uTMDPDF_base50(x,bT,hadron)
real(dp),dimension(-5:5)::uTMDPDF_base50
real(dp) :: x, bT
integer::hadron
!!! variables for restoration only
real(dp),dimension(-5:5) :: fNP_grid,fNP_current
integer::j
!!!! if the coefficient function is not used at all. Just return fNP
if(order_global==-50) then
uTMDPDF_base50=fNP(x,1d0,bT,hadron,lambdaNP)
!!! in the case the greed has been calculated FOR THIS HADRON
else if(gridReady .and. ANY(hadronsInGRID.eq.hadron)) then
uTMDPDF_base50=ExtractFromGrid(x,bT,hadron)
!!!!!!!!!!This is procedure of restoration of function from the initial grid
!!! if fNP is x-independent then the value can be obtained by TMDPDF(initial) fNP(current)/fNP(initial)
if(.not.IsFnpZdependent) then
fNP_grid=FNP(x,0d0,bT,hadron,lambdaNP_grid)
fNP_current=FNP(x,0d0,bT,hadron,lambdaNP)
do j=-5,5
if(fNP_grid(j)==0) then
if(uTMDPDF_base50(j)/=0.and.j/=0) then
if(outputLevel>0) &
call Warning_Raise('error in restoration: original value is zero. TMDPDF set to zero. b='//numToStr(bT),&
messageCounter,messageTrigger,moduleName)
end if
uTMDPDF_base50(j)=0
else
uTMDPDF_base50(j)=uTMDPDF_base50(j)*fNP_current(j)/fNP_grid(j)
end if
end do
end if
!!!! finally just calculation
else
uTMDPDF_base50=Common_lowScale50(x,bT,hadron)
end if
end function uTMDPDF_base50
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!OUTPUT INTERFACE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,??,d,u,s, c ,b
!!---Gluon contribution is undefined
!!---Full version: hadron=number of PDF (if compositeness OFF)
!!--- hadron=sum components (if compositeness ON)
!---------------------------------------------------------------------
!---------------------------------------------------------------------
function uTMDPDF_lowScale5(x,bT,hadron)
real(dp),dimension(-5:5)::uTMDPDF_lowScale5
real(dp) :: x, bT
integer::hadron
logical,allocatable::includeInComposition(:)
real(dp),allocatable::compositionCoefficients(:)
integer::j,jN
if(x>1d0) then
uTMDPDF_lowScale5=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
return
end if
if(IsComposite) then
uTMDPDF_lowScale5=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
call GetCompositionArray(hadron,lambdaNP,includeInComposition,compositionCoefficients)
jN=size(includeInComposition)
do j=1,jN
if(includeInComposition(j)) then
uTMDPDF_lowScale5=uTMDPDF_lowScale5+compositionCoefficients(j)*uTMDPDF_base5(x,bT,j)
end if
end do
deallocate(includeInComposition,compositionCoefficients)
else
uTMDPDF_lowScale5=uTMDPDF_base5(x,bT,hadron)
end if
end function uTMDPDF_lowScale5
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu the GLUON INCLUDED
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,g,d,u,s, c ,b
!!---Full version: hadron=number of PDF (if compositeness OFF)
!!--- hadron=sum components (if compositeness ON)
!---------------------------------------------------------------------
!---------------------------------------------------------------------
function uTMDPDF_lowScale50(x,bT,hadron)
real(dp),dimension(-5:5)::uTMDPDF_lowScale50
real(dp) :: x, bT
integer::hadron
logical,allocatable::includeInComposition(:)
real(dp),allocatable::compositionCoefficients(:)
integer::j,jN
if(x>1d0) then
uTMDPDF_lowScale50=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
return
end if
if(IsComposite) then
uTMDPDF_lowScale50=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
call GetCompositionArray(hadron,lambdaNP,includeInComposition,compositionCoefficients)
jN=size(includeInComposition)
do j=1,jN
if(includeInComposition(j)) then
uTMDPDF_lowScale50=uTMDPDF_lowScale50+compositionCoefficients(j)*uTMDPDF_base50(x,bT,j)
end if
end do
deallocate(includeInComposition,compositionCoefficients)
else
uTMDPDF_lowScale50=uTMDPDF_base50(x,bT,hadron)
end if
end function uTMDPDF_lowScale50
| 9,271 | 40.026549 | 125 | f90 |
artemide-public | artemide-public-master/src/Code/uTMDPDF/modelTest.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of uTMDPDF module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Routines that test the behaviour of NP model------------------------------
!!!-------------------------------------------------------------------------------------------------------
!!! test FNP for z-dependance
!!! the test consists in the evaluation of FNP at several random sets and NParray
!!! and comparison of the values.
function TestFNP()
logical::TestFNP
real(dp)::xR,bR
real(dp),dimension(-5:5)::test1,test2
integer::h,i,j
real(dp),allocatable::NPtest(:)
allocate(NPtest(1:lambdaNPlength))
call RANDOM_NUMBER(NPtest)
NPtest=3d0*NPtest
TestFNP=.false.
do h=1,numberOfHadrons
do i=1,10
!! generate some random input
call RANDOM_NUMBER(xR)
if(xR>0.99d0) xR=xR/2d0
if(xR<0.00001d0) xR=0.0001d0+xR
call RANDOM_NUMBER(bR)
bR=3d0*bR
test1=FNP(xR,0.9d0,bR,hadronsInGRID(h),NPtest)
do j=1,10
test2=FNP(xR,0.8d0/REAL(j),bR,hadronsInGRID(h),NPtest)
if(SUM(ABS(test1-test2))>1d-10) then
TestFNP=.true.
exit
end if
end do
end do
end do
deallocate(NPtest)
end function TestFNP
!!! test MU for x-dependance
!!! the test consists in the evaluation of FNP at several random sets and NParray
!!! and comparison of the values.
function TestMU()
logical::TestMU
real(dp)::xR,bR
real(dp)::test1,test2
integer::i,j
TestMU=.false.
do i=1,10
call RANDOM_NUMBER(bR)
bR=3d0*bR
!!! generate some random input
call RANDOM_NUMBER(xR)
if(xR>0.99d0) xR=xR/2d0
if(xR<0.00001d0) xR=0.0001d0+xR
test1=mu_OPE(xR,bR)
!!! generate some random input
call RANDOM_NUMBER(xR)
if(xR>0.99d0) xR=xR/2d0
if(xR<0.00001d0) xR=0.0001d0+xR
test2=mu_OPE(xR,bR)
if(ABS(test1-test2)>1d-10) then
TestMU=.true.
exit
end if
end do
end function TestMU
!!! test bSTAR for lambda-dependance
!!! .true. = lambda-dependent
function TestbSTAR()
integer::i,j,k
logical::TestbSTAR
real(dp)::bT,dummy1,dummy2
real(dp),allocatable::NPtest(:)
allocate(NPtest(1:lambdaNPlength))
TestbSTAR=.false.
do i=1,lambdaNPlength
NPtest=0.5d0+0d0*NPtest
do k=0,3
bT=0.1d0+k
dummy1=bSTAR(bT,NPtest)
do j=1,3
NPtest(i)=0.9d0*j
dummy2=bSTAR(bT,NPtest)
if(abs(dummy2-dummy1)>1d-10) then
TestbSTAR=.true.
exit
end if
end do
end do
end do
end function TestbSTAR
| 3,133 | 26.734513 | 106 | f90 |
artemide-public | artemide-public-master/src/Code/wgtTMDPDF/coeffFunc.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of wgtTMDPDF module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Routines for the mathing coefficient--------------------------------------
!!!--------------The order is accumulative pertrubative order of coefficient =1,2,3 (LO,NLO,NNLO)---------
!!!-------------------------------------------------------------------------------------------------------
!!! the function which contains the functions of parameterizations
pure function parametrizationString(z)
real(dp),intent(in)::z
real(dp),dimension(1:parametrizationLength)::parametrizationString
!lz=Log(z)
!l1z=Log(1d0-z)
parametrizationString=(/1d0,z,Log(z),Log(1d0-z)/)
end function parametrizationString
!!! the function which contains
!!! int_z^1 parameterization at values of z -> 1
!!! it is used to estimate integration error at z~1
pure function parametrizationStringAt1(z)
real(dp), intent(in)::z
real(dp),dimension(1:parametrizationLength)::parametrizationStringAt1
real(dp)::zz
zz=(1d0-z)
parametrizationStringAt1=(/zz,zz,0d0,zz*(Log(zz)-1d0)/)
end function parametrizationStringAt1
!!!!Each coefficient is split to delta, sing x->1, regular
!!!!!coefficient function q<-q delta-part
pure function C_q_q_delta(alpha,Nf,Lmu)
real(dp), intent(in)::Nf,alpha,Lmu
real(dp)::C_q_q_delta
C_q_q_delta=0d0
end function C_q_q_delta
!!!!!coefficient function g<-g delta-part
pure function C_g_g_delta(alpha,Nf,Lmu)
real(dp), intent(in)::Nf,alpha,Lmu
real(dp)::C_g_g_delta
C_g_g_delta=0d0
end function C_g_g_delta
!!!!!coefficient function q<-q singular-part (1/(1-x)_+,(Log(1-x)/(1-x))_+)
subroutine Set_CoeffSing1_q_q(alpha,Nf,Lmu)
real(dp)::Nf,alpha,Lmu
CoeffSing1_q_q=(/0d0, 0d0, 0d0/)
end subroutine Set_CoeffSing1_q_q
!!!!!coefficient function g<-g singular-part (1/(1-x)_+,(Log(1-x)/(1-x))_+)
subroutine Set_CoeffSing1_g_g(alpha,Nf,Lmu)
real(dp)::Nf,alpha,Lmu
CoeffSing1_g_g=(/0d0, 0d0, 0d0/)
end subroutine Set_CoeffSing1_g_g
!!!!!coefficient function q<-q regular-part
!!!!! note that the order counting starts from 1=LO, 2=NLO etc. Because 0=delta contribution only[in Twist2Convolution]
subroutine Set_Coeff_q_q(alpha,Nf,Lmu)
real(dp)::alpha,Nf,Lmu
!! the Leading order is 1, it is WW-part of worm-gear function
Coeff_q_q=(/1d0,0d0,0d0,0d0/) !1
if(order_global>=2) then
Coeff_q_q=Coeff_q_q+alpha*4d0/3d0*(/&
-Lmu-2d0-zeta2, -2d0*Lmu+2d0, 2d0*Lmu-2d0, -4d0*Lmu/) !
! write(*,*) 'regularPart=', regularPart/x
end if
end subroutine Set_Coeff_q_q
!!!!!coefficient function q<-g regular-part
!!!!! note that the order counting starts from 1=LO, 2=NLO etc. Because 0=delta contribution only[in Twist2Convolution]
subroutine Set_Coeff_q_g(alpha,Nf,Lmu)
real(dp)::alpha,Nf,Lmu
!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_q_g=(/0d0,0d0,0d0,0d0/)
if(order_global>=2) then
Coeff_q_g=Coeff_q_g+alpha*(/-2d0*Lmu+1d0, 2d0*Lmu-1d0, -Lmu+0.5d0, 0d0/)
end if
end subroutine Set_Coeff_q_g
!!!!!coefficient function g<-q regular-part
subroutine Set_Coeff_g_q(alpha,Nf,Lmu)
real(dp)::alpha,Nf,Lmu
!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_g_q=(/0d0,0d0,0d0,0d0/)
! if(order_global>=1) then
! Coeff_g_q=Coeff_g_q+alpha*(/0d0/)!
!
! end if
end subroutine Set_Coeff_g_q
!!!!!coefficient function g<-g regular-part
subroutine Set_Coeff_g_g(alpha,Nf,Lmu)
real(dp)::alpha,Nf,Lmu
!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_g_g=(/1d0,0d0,0d0,0d0/)
if(outputLevel>0) write(*,*) &
WarningString('gluon part of worm-gear T function is not known. Set alike quark.',moduleName)
end subroutine Set_Coeff_g_g
!!!!!coefficient function q<-qb regular-part
subroutine Set_Coeff_q_qb(alpha,Nf,Lmu)
real(dp)::alpha,Nf,Lmu
!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_q_qb=(/0d0,0d0,0d0,0d0/)!
end subroutine Set_Coeff_q_qb
!!!!!coefficient function q<-qp regular-part
subroutine Set_Coeff_q_qp(alpha,Nf,Lmu)
real(dp)::alpha,Nf,Lmu
!! the Leading order is always zero, therefore calculation should be done only for order >=1
Coeff_q_qp=(/0d0,0d0,0d0,0d0/)
end subroutine Set_Coeff_q_qp
!!! This function has been used during debuging
subroutine CheckCoefficient(as,Nf,Lmu,z)
real(dp)::Lmu,as,z,Nf,lz,l1z
real(dp), dimension(1:23)::func
real(dp), dimension(1:2)::func1
! lz=Log(z)
! l1z=Log(1d0-z)
! func=(/l1z,l1z**2,l1z**3,&
! 1d0/z,lz/z,&
! lz,lz**2,lz**3,&
! 1d0,z,z**2,&
! z/(1d0-z)*lz, z*lz, (z**2)*lz,&
! z/(1d0-z)*lz**2,z*lz**2,&
! (lz/(1d0-z)+1d0)*l1z,lz*l1z,z*lz*l1z,&
! (1d0-z)/z*l1z, (1d0-z)*l1z, ((1d0-z)**2)*l1z,(1d0-z)*l1z**2/)
!
! func1=(/1d0/(1d0-z),Log(1d0-z)/(1d0-z)/)
!
!!Q->Q
! call Set_CoeffSing1_q_q(as,Nf,Lmu)
! call Set_Coeff_q_q(as,Nf,Lmu)
! write(*,*) SUM(Coeff_q_q*func)+SUM(CoeffSing1_q_q*func1)
! !!Q->G
! call Set_Coeff_q_g(as,Nf,Lmu)
! write(*,*) SUM(Coeff_q_g*func)
! !!Q->Q'
! call Set_Coeff_q_qp(as,Nf,Lmu)
! write(*,*) SUM(Coeff_q_qp*func)
!!Q->Qbar
! call Set_Coeff_q_qb(as,Nf,Lmu)
! write(*,*) SUM(Coeff_q_qb*func)
! !! G->Q
! call Set_Coeff_g_q(as,Nf,Lmu)
! write(*,*) SUM(Coeff_g_q*func)
! !!G->G
call Set_CoeffSing1_g_g(as,Nf,Lmu)
call Set_Coeff_g_g(as,Nf,Lmu)
!write(*,*) SUM(Coeff_g_g*func)+SUM(CoeffSing1_g_g*func1)
end subroutine CheckCoefficient
| 6,196 | 32.317204 | 119 | f90 |
artemide-public | artemide-public-master/src/Code/wgtTMDPDF/convolutions.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of wgtTMDPDF module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Routines for evaluation of TMD distributions------------------------------
!!!-------------------------the actual calculation takes a place in twist2 code---------------------------
!!!-------------------------------------------------------------------------------------------------------
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Convolutions!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!-------------------------------------------------
!!!!array of x times PDF(x,Q) for hadron 'hadron'
!!!! array is (-5:5) (bbar,cbar,sbar,ubar,dbar,g,d,u,s,c,b)
function xf(x,Q,hadron)
real(dp) :: x,Q
integer:: hadron
real(dp), dimension(-5:5):: xf
!!! helicity times x
xf=x_hPDF(x,Q,hadron)
!xf=(/x,x,x,x,x,x,x**2,x,x,x,x/)
end function xf
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,??,d,u,s, c ,b
!!---Gluon contribution is undefined
!!---Base version: hadron=number of PDF
!---------------------------------------------------------------------
!---------------------------------------------------------------------
function wgtTMDPDF_base5(x,bT,hadron)
real(dp),dimension(-5:5)::wgtTMDPDF_base5
real(dp) :: x, bT
integer::hadron
!!! variables for restoration only
real(dp),dimension(-5:5) :: fNP_grid,fNP_current
integer::j
!!!! if the coefficient function is not used at all. Just return fNP
if(order_global<0) then
wgtTMDPDF_base5=fNP(x,1d0,bT,hadron,lambdaNP)
!!! in the case the greed has been calculated AND the hadron is in the grid
else if(gridReady .and. ANY(hadronsInGRID.eq.hadron)) then
wgtTMDPDF_base5=x*ExtractFromGrid(x,bT,hadron)
!!!!!!!!!!This is procedure of restoration of function from the initial grid
!!! if fNP is x-independent then the value can be obtained by TMDPDF(initial) fNP(current)/fNP(initial)
if(.not.IsFnpZdependent) then
fNP_grid=FNP(x,0d0,bT,hadron,lambdaNP_grid)
fNP_current=FNP(x,0d0,bT,hadron,lambdaNP)
do j=-5,5
if(fNP_grid(j)==0) then
if(fNP_current(j)/=0 .and. ((j/=0).or.(.not.withGluon))) then
if(outputLevel>0) &
call Warning_Raise('error in restoration: original value is zero. TMDPDF set to zero. b='&
//numToStr(bT)//' x='//numToStr(x)//' f='//numToStr(j),&
messageCounter,messageTrigger,moduleName)
end if
wgtTMDPDF_base5(j)=0!!!! this is case then 0/0
else
wgtTMDPDF_base5(j)=wgtTMDPDF_base5(j)*fNP_current(j)/fNP_grid(j)
end if
end do
!!!! only (tw-2 part)*fNP is saved in grid. Therefore, we add tw3*fNP
wgtTMDPDF_base5=wgtTMDPDF_base5+g1T_tw3NP(x,hadron,lambdaNP)*FNP(x,0d0,bT,hadron,lambdaNP)
end if
!!!! finally just calculation
else
!!!! only (tw-2 part)*fNP is computed by convolution. Therefore, we add tw3*fNP
!!!! the factor x is the part of definition of convolution for WW
wgtTMDPDF_base5=x*Common_lowScale5(x,bT,hadron)+g1T_tw3NP(x,hadron,lambdaNP)*FNP(x,0d0,bT,hadron,lambdaNP)
end if
end function wgtTMDPDF_base5
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu the GLUON INCLUDED
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,g,d,u,s, c ,b
!!---Base version: hadron=number of PDF
!---------------------------------------------------------------------
!---------------------------------------------------------------------
function wgtTMDPDF_base50(x,bT,hadron)
real(dp),dimension(-5:5)::wgtTMDPDF_base50
real(dp) :: x, bT
integer::hadron
!!! variables for restoration only
real(dp),dimension(-5:5) :: fNP_grid,fNP_current
integer::j
!!!! if the coefficient function is not used at all. Just return fNP
if(order_global<0) then
wgtTMDPDF_base50=fNP(x,1d0,bT,hadron,lambdaNP)
!!! in the case the greed has been calculated FOR THIS HADRON
else if(gridReady .and. ANY(hadronsInGRID.eq.hadron)) then
wgtTMDPDF_base50=x*ExtractFromGrid(x,bT,hadron)
!!!!!!!!!!This is procedure of restoration of function from the initial grid
!!! if fNP is x-independent then the value can be obtained by TMDPDF(initial) fNP(current)/fNP(initial)
if(.not.IsFnpZdependent) then
fNP_grid=FNP(x,0d0,bT,hadron,lambdaNP_grid)
fNP_current=FNP(x,0d0,bT,hadron,lambdaNP)
do j=-5,5
if(fNP_grid(j)==0) then
if(wgtTMDPDF_base50(j)/=0.and.j/=0) then
if(outputLevel>0) &
call Warning_Raise('error in restoration: original value is zero. TMDPDF set to zero. b='//numToStr(bT),&
messageCounter,messageTrigger,moduleName)
end if
wgtTMDPDF_base50(j)=0
else
wgtTMDPDF_base50(j)=wgtTMDPDF_base50(j)*fNP_current(j)/fNP_grid(j)
end if
end do
!!!! only (tw-2 part)*fNP is saved in grid. Therefore, we add tw3*fNP
!!!! the factor x is the part of definition of convolution for WW
wgtTMDPDF_base50=wgtTMDPDF_base50+g1T_tw3NP(x,hadron,lambdaNP)*FNP(x,0d0,bT,hadron,lambdaNP)
end if
!!!! finally just calculation
else
!!!! only (tw-2 part)*fNP is computed by convolution. Therefore, we add tw3*fNP
wgtTMDPDF_base50=x*Common_lowScale50(x,bT,hadron)+g1T_tw3NP(x,hadron,lambdaNP)*FNP(x,0d0,bT,hadron,lambdaNP)
end if
end function wgtTMDPDF_base50
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!OUTPUT INTERFACE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,??,d,u,s, c ,b
!!---Gluon contribution is undefined
!!---Full version: hadron=number of PDF (if compositeness OFF)
!!--- hadron=sum components (if compositeness ON)
!---------------------------------------------------------------------
!---------------------------------------------------------------------
function wgtTMDPDF_lowScale5(x,bT,hadron)
real(dp),dimension(-5:5)::wgtTMDPDF_lowScale5
real(dp) :: x, bT
integer::hadron
logical,allocatable::includeInComposition(:)
real(dp),allocatable::compositionCoefficients(:)
integer::j,jN
if(x>1d0) then
wgtTMDPDF_lowScale5=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
return
end if
if(IsComposite) then
wgtTMDPDF_lowScale5=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
call GetCompositionArray(hadron,lambdaNP,includeInComposition,compositionCoefficients)
jN=size(includeInComposition)
do j=1,jN
if(includeInComposition(j)) then
wgtTMDPDF_lowScale5=wgtTMDPDF_lowScale5+compositionCoefficients(j)*wgtTMDPDF_base5(x,bT,j)
end if
end do
deallocate(includeInComposition,compositionCoefficients)
else
wgtTMDPDF_lowScale5=wgtTMDPDF_base5(x,bT,hadron)
end if
end function wgtTMDPDF_lowScale5
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---------------------------------------------------------------------
!- This is the TMD function evaluated for all quarks simultaniously (-5..5) at x,bT,mu the GLUON INCLUDED
!-- f = -5, -4, -3, -2, -1,0,1,2,3, 4 ,5
!-- = bbar ,cbar sbar,ubar,dbar,g,d,u,s, c ,b
!!---Full version: hadron=number of PDF (if compositeness OFF)
!!--- hadron=sum components (if compositeness ON)
!---------------------------------------------------------------------
!---------------------------------------------------------------------
function wgtTMDPDF_lowScale50(x,bT,hadron)
real(dp),dimension(-5:5)::wgtTMDPDF_lowScale50
real(dp) :: x, bT
integer::hadron
logical,allocatable::includeInComposition(:)
real(dp),allocatable::compositionCoefficients(:)
integer::j,jN
if(x>1d0) then
wgtTMDPDF_lowScale50=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
return
end if
if(IsComposite) then
wgtTMDPDF_lowScale50=(/0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0,0d0/)
call GetCompositionArray(hadron,lambdaNP,includeInComposition,compositionCoefficients)
jN=size(includeInComposition)
do j=1,jN
if(includeInComposition(j)) then
wgtTMDPDF_lowScale50=wgtTMDPDF_lowScale50+compositionCoefficients(j)*wgtTMDPDF_base50(x,bT,j)
end if
end do
deallocate(includeInComposition,compositionCoefficients)
else
wgtTMDPDF_lowScale50=wgtTMDPDF_base50(x,bT,hadron)
end if
end function wgtTMDPDF_lowScale50
| 10,305 | 41.941667 | 125 | f90 |
artemide-public | artemide-public-master/src/Code/wgtTMDPDF/modelTest.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!
!!!!!!!!! part of wgtTMDPDF module for artemide
!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!-------------------------------------------------------------------------------------------------------
!!!-----------------------------Routines that test the behaviour of NP model------------------------------
!!!-------------------------------------------------------------------------------------------------------
!!! test FNP for z-dependance
!!! the test consists in the evaluation of FNP at several random sets and NParray
!!! and comparison of the values.
function TestFNP()
logical::TestFNP
real(dp)::xR,bR
real(dp),dimension(-5:5)::test1,test2
integer::h,i,j
real(dp),allocatable::NPtest(:)
allocate(NPtest(1:lambdaNPlength))
call RANDOM_NUMBER(NPtest)
NPtest=3d0*NPtest
TestFNP=.false.
do h=1,numberOfHadrons
do i=1,10
!! generate some random input
call RANDOM_NUMBER(xR)
if(xR>0.99d0) xR=xR/2d0
if(xR<0.00001d0) xR=0.0001d0+xR
call RANDOM_NUMBER(bR)
bR=3d0*bR
test1=FNP(xR,0.9d0,bR,hadronsInGRID(h),NPtest)
do j=1,10
test2=FNP(xR,0.8d0/REAL(j),bR,hadronsInGRID(h),NPtest)
if(SUM(ABS(test1-test2))>1d-10) then
TestFNP=.true.
exit
end if
end do
end do
end do
deallocate(NPtest)
end function TestFNP
!!! test MU for x-dependance
!!! the test consists in the evaluation of FNP at several random sets and NParray
!!! and comparison of the values.
function TestMU()
logical::TestMU
real(dp)::xR,bR
real(dp)::test1,test2
integer::i,j
TestMU=.false.
do i=1,10
call RANDOM_NUMBER(bR)
bR=3d0*bR
!!! generate some random input
call RANDOM_NUMBER(xR)
if(xR>0.99d0) xR=xR/2d0
if(xR<0.00001d0) xR=0.0001d0+xR
test1=mu_OPE(xR,bR)
!!! generate some random input
call RANDOM_NUMBER(xR)
if(xR>0.99d0) xR=xR/2d0
if(xR<0.00001d0) xR=0.0001d0+xR
test2=mu_OPE(xR,bR)
if(ABS(test1-test2)>1d-10) then
TestMU=.true.
exit
end if
end do
end function TestMU
!!! test bSTAR for lambda-dependance
!!! .true. = lambda-dependent
function TestbSTAR()
integer::i,j,k
logical::TestbSTAR
real(dp)::bT,dummy1,dummy2
real(dp),allocatable::NPtest(:)
allocate(NPtest(1:lambdaNPlength))
TestbSTAR=.false.
do i=1,lambdaNPlength
NPtest=0.5d0+0d0*NPtest
do k=0,3
bT=0.1d0+k
dummy1=bSTAR(bT,NPtest)
do j=1,3
NPtest(i)=0.9d0*j
dummy2=bSTAR(bT,NPtest)
if(abs(dummy2-dummy1)>1d-10) then
TestbSTAR=.true.
exit
end if
end do
end do
end do
end function TestbSTAR
| 3,135 | 26.752212 | 106 | f90 |
artemide-public | artemide-public-master/src/Model/SiversTMDPDF_model.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! Model for Sivers TMD PDF [20??.????]
!
! A.Vladimirov (21.05.2020)
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module SiversTMDPDF_model
use aTMDe_Numerics
use IO_functions
implicit none
private
!!!!!------------------------------------------------------------------------------------
!!!!! These functions MUST defined in module !!
!!!!!
!!!!! 1) The subroutine is called during the initialization of TMD-module
!!!!! arg=array of initial NP-parameters
public:: ModelInitialization
!!!!! 2) The subroutine that is called on reset of NP-parameters in TMD-module
!!!!! arg=array of new NP-parameters
public:: ModelUpdate
!!!!! 3) Function which returns FNP function
!!!!! arg=(x,b,hadron,lambdaNP) with x=x_Bj for TMD (real_dp),
!!!!! b=transverse distance(real_dp), hadron=number of the hadron in grid(integer)
!!!!! lambdaNP = array of NP parameters (real_dp(:))
real(dp),public,dimension(-5:5):: FNP
!!!!! 4) Function which returns the value of b used as argument of convolution integrals
!!!!! arg=(b,lambdaNP) with b=transverse distance(real_dp), lambdaNP = array of NP parameters (real_dp(:))
real(dp),public:: bSTAR
!!!!! 5) Function which returns the scale of matching (OPE scale)
!!!!! arg=(bt) with b=transverse distance(real_dp)
real(dp),public:: mu_OPE
!!!!! 6) Subroutine which returns the array of parameters CA which compose the TMDs into a single one
!!!!! i.e. the TMD for hardon=h is build as TMD(h)=Sum_c CA(h,c) TMD(c)
!!!!! it is used only if the option UseComposite TMD is ON,
!!!!! arg=(h,lambdaNP,includeArray,CA) with h=hadron(integer),lambdaNP = array of NP parameters (real_dp(:))
!!!!! includeArray=logical array with .true. for terms included in the sum (logical(:),allocatable,intent(out))
!!!!! CA=coefficient CA (real_dp(:),allocatable,intent(out))
public:: GetCompositionArray
!!!!! 7) Subroutine which returns the array of NP-parameters corresponding to certain integer (replica)
!!!!! arg=rep input integer, NParray (real_dp(:), allocatable, intent(out)) returned array
public:: GetReplicaParameters
!!!!!------------------------------------------------------------------------------------
real(dp),allocatable::NPparam(:)
contains
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! USER DEFINED FUNCTIONS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!! Write nessecery model intitialization.
subroutine ModelInitialization(NPstart)
real(dp),intent(in)::NPstart(:)
allocate(NPparam(1:size(NPstart)))
NPparam=NPstart
write(*,*) color(">>> The model for Sivers function is BPV20. Please, cite [20??.????] <<<",c_cyan)
end subroutine ModelInitialization
!!!!!! Write nessecery model update (e.g. save current NP-parameters)
!!!!!! newNPParams is the new NP-array
subroutine ModelUpdate(newNPParams)
real(dp),intent(in):: newNPParams(:)
NPparam=newNPParams !! save new vector of NP-parameters
end subroutine ModelUpdate
!!! This is non-pertrubative function
!!! non=pertrubative parameters are lambdaNP()
!!! x-- is the bjorken variable of TMD
function FNP(x,bT,hadron,lambdaNP)
real(dp),intent(in)::x,bT
integer,intent(in)::hadron
real(dp),intent(in)::lambdaNP(:)
real(dp)::bProfile
real(dp)::FNPu,FNPd,FNPs,FNPsea,Normu,Normd,Normsea,YY
!!! profile in b is common for all (5 parameters)
YY=(lambdaNP(1)+x*lambdaNP(2))*(bT**2)/sqrt(1d0+Abs(lambdaNP(3))*x**2*bT**2)
bProfile=exp(-YY)
!bProfile=1d0/cosh((lambdaNP(1)+x**2*lambdaNP(2))*bT)
!!! u-quark(3 parameters)
Normu=(3d0+lambdaNP(7)+lambdaNP(8)*(1+lambdaNP(7)))/((lambdaNP(7)+1d0)*(lambdaNP(7)+2d0)*(lambdaNP(7)+3d0))
FNPu=lambdaNP(6)*(1-x)*x**lambdaNP(7)*(1+lambdaNP(8)*x)/Normu
!!! d-quark(3 parameters)
Normd=(3d0+lambdaNP(10)+lambdaNP(11)*(1+lambdaNP(10)))/((lambdaNP(10)+1d0)*(lambdaNP(10)+2d0)*(lambdaNP(10)+3d0))
FNPd=lambdaNP(9)*(1-x)*x**lambdaNP(10)*(1+lambdaNP(11)*x)/Normd
!!! sea-quark(3 parameters)
Normsea=1d0/((lambdaNP(13)+1d0)*(lambdaNP(13)+2d0))
FNPs=lambdaNP(12)*(1-x)*x**lambdaNP(13)/Normsea
FNPsea=lambdaNP(14)*(1-x)*x**lambdaNP(13)/Normsea
FNP=bProfile*(/0d0,0d0,FNPsea,FNPsea,FNPsea,0d0,FNPd,FNPu,FNPs,0d0,0d0/)
end function FNP
!!!! This is the function b* that enter the logarithms of coefficient function
!!!! at small-b it should be ~b to match the collinear regime
!!!! at large-b it is a part of model
!!!! NOTE: if it is lambda-dependent, the grid will be recalculate each reset of lambdaNP
pure function bSTAR(bT,lambdaNP)
real(dp),intent(in)::bT
real(dp),intent(in)::lambdaNP(:)
bSTAR=bT/sqrt(1d0+(bT/500d0)**2)
end function bSTAR
!!!!This function is the mu(x,b), which is used inside the OPE
pure function mu_OPE(bt)
real(dp),intent(in)::bt
mu_OPE=C0_const*1d0/bT+2d0
if(mu_OPE>1000d0) then
mu_OPE=1000d0
end if
end function mu_OPE
!!!! if the option UseComposite TMD is OFF, this function is ignored
!!!! If the option UseComposite TMD is ON,
!!!! than the TMD for hardon is build as TMD(hadron)=Sum_c CA(h,c) TMD(c)
!!!! where h=hadron, CA=coefficientArray
!!!! coefficientArray real(dp) list of coefficeints
!!!! includeArray is logical array list (true=TMD(c) is computed, false TMD(c) ignored)
subroutine GetCompositionArray(hadron,lambdaNP,includeArray,coefficientArray)
real(dp),intent(in)::lambdaNP(:)
integer::hadron
logical,allocatable,intent(out)::includeArray(:)
real(dp),allocatable,intent(out)::coefficientArray(:)
allocate(includeArray(1:1))
allocate(coefficientArray(1:1))
end subroutine GetCompositionArray
!!! In SV19 model the replica parameters are stored in separate file.
subroutine GetReplicaParameters(rep,NParray)
integer,intent(in)::rep
real(dp),allocatable,intent(out)::NParray(:)
integer::i
allocate(NParray(1:size(NPparam)))
write(*,*) warningstring("set model replica via artemide-control module","Sivers")
write(*,*) warningstring("some generic NP values returned","Sivers")
NParray(1)=1d0
do i=2,size(NPparam)
NParray(1)=0.001d0
end do
end subroutine GetReplicaParameters
end module SiversTMDPDF_model
| 6,556 | 39.726708 | 121 | f90 |
artemide-public | artemide-public-master/src/Model/TMDR_model.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! Model for unpolarized TMD evolution for SV19
!
! corresponds to bb* model
! DNP=Dpert(b*)+g bb*
! zeta=zetaPert(b) exp[-b2/BB]+zetaSL(b)(1-exp(-b2/BB)
!
! Requres two NP parameters (initated by best values)
!
! A.Vladimirov (11.07.2019)
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module TMDR_model
use aTMDe_Numerics
use IO_functions
use TMD_AD, only : Dresum,Dpert,zetaMUpert,zetaSL,RADEvolution
implicit none
private
!!!!!------------------------------------------------------------------------------------
!!!!! These functions MUST defined in module !!
!!!!!
!!!!! 1) The subroutine is called during the initialization of TMDR
!!!!! arg=array of initial NP-parameters
public:: ModelInitialization
!!!!! 2) The subroutine that is called on reset of NP-parameters in TMDR
!!!!! arg=array of new NP-parameters
public:: ModelUpdate
!!!!! 3) Function which returns RAD function
!!!!! arg=(mu,b,f) with mu=scale(real_dp), b=transverse distance(real_dp), f=flavor(integer)
real(dp),public:: DNP
!!!!! 4) Function which returns special equi-potential line, which is used in the evolution solutions
!!!!! arg=(mu,b,f) with mu=scale(real_dp), b=transverse distance(real_dp), f=flavor(integer)
real(dp),public:: zetaNP
!!!!! 5) Subroutine which returns the array of NP-parameters corresponding to certain integer (replica)
!!!!! arg=rep input integer, NParray (real_dp(:), allocatable, intent(out)) returned array
public:: GetReplicaParameters
!!!!!------------------------------------------------------------------------------------
real(dp),allocatable::NPparam(:)
contains
!!!!!! Write nessecery model intitialization.
!!!!!! InitialNPParams is the initial NP-array (in principle, any non-pathological NP-array)
subroutine ModelInitialization(InitialNPParams)
real(dp),intent(in):: InitialNPParams(:)
if(size(InitialNPParams)<3) then
write(*,*) color('ART23-model: Number NP parameters for TMDR is less then 3',c_red)
write(*,*) 'Evaluation STOP'
stop
end if
allocate(NPparam(1:size(InitialNPParams)))
NPparam=InitialNPParams
write(*,*) &
color(">>> The model for TMD evolution is ART23. Please, cite [1907.10356]&[2305.????] <<<",c_cyan)
end subroutine ModelInitialization
!!!!!! Write nessecery model update (e.g. save current NP-parameters)
!!!!!! newNPParams is the new NP-array
subroutine ModelUpdate(newNPParams)
real(dp),intent(in):: newNPParams(:)
NPparam=newNPParams !! save new vector of NP-parameters
end subroutine ModelUpdate
!!! This is the rapidity anomalous dimension non-perturbative model
!!! In your evaluation take care that the saddle point is inside the pertrubative regeme
!!! Use function Dpert(mu,b,f) for D perturbative, use Dresum for D resum
function DNP(mu,b,f)
real(dp),intent(in)::mu,b
integer,intent(in)::f
real(dp)::bSTAR
bSTAR=b/SQRT(1_dp+b**2/NPparam(1)**2)
DNP=Dpert(C0_const/bSTAR*NPparam(4),bSTAR,1)+RADEvolution(C0_const/bSTAR*NPparam(4),mu,1)&
+NPparam(2)*b*bSTAR+NPparam(3)*b*bSTAR*Log(bSTAR/NPparam(1))
end function DNP
!! This is the non-pertrubative shape of zeta_mu line.
!! It MUST follow the equipotential line in perturbative regime (at small-b), at the level pf PT accuracy.
!! Otherwice, your evolution is completely broken.
!! Use zetaMUpert for perturbative values, use zetaSL for exact values
function zetaNP(mu,b,f)
real(dp),intent(in)::mu,b
integer,intent(in)::f
real(dp)::zz,rad,w1,w2
rad=DNP(mu,b,f)
!! this ofset is required to guaranty a good numerical bahavior at b->0.
!! In principle, zz=0 also works
zz=Exp(-b**2/0.01d0)
zetaNP=zetaMUpert(mu,b,f)*zz+zetaSL(mu,rad,f)*(1d0-zz)
end function zetaNP
!!! In SV19 model the replica parameters are stored in separate file.
subroutine GetReplicaParameters(rep,NParray)
integer,intent(in)::rep
real(dp),allocatable,intent(out)::NParray(:)
real(dp),parameter,dimension(1:3)::replica=(/2.2824d0, 0.025d0,0d0/)
allocate(NParray(1:3))
NParray=replica
end subroutine GetReplicaParameters
end module TMDR_model
| 4,296 | 34.512397 | 106 | f90 |
artemide-public | artemide-public-master/src/Model/TMDs_model.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! Model for TMD defining scales
! used only in the case of evolution types 1 and 2
!
! mu_low=C0/b+2
! mu0=C0/b+2
!
! A.Vladimirov (25.04.2018)
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!USER DEFINED FUNCTION!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!This function is the mu(b)
! it is used for solutions with variable lower evolution scale (EvolutionTYpe=1,2)
function mu_LOW(bt)
real*8::bt,mu_LOW
real*8, parameter :: C0_const=1.1229189671337703d0
mu_LOW=10d0!C0_const*1d0/bT+2d0
if(mu_LOW>1000d0) then
mu_LOW=1000d0
end if
end function mu_LOW
!!!!This function is the mu0(b)
! it is used for solutions within improved D solution (EvolutionTYpe=1)
function mu0(bt)
real*8::bt,mu0
mu0=mu_LOW(bt)
end function mu0
| 1,199 | 31.432432 | 110 | f90 |
artemide-public | artemide-public-master/src/Model/lpTMDPDF_model.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! Model for linearly polarized gluons
!
! corresponds to nothing
! A.Vladimirov (13.06.2019)
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module lpTMDPDF_model
use aTMDe_Numerics
use IO_functions
implicit none
private
!!!!!------------------------------------------------------------------------------------
!!!!! These functions MUST defined in module !!
!!!!!
!!!!! 1) The subroutine is called during the initialization of TMD-module
!!!!! arg=array of initial NP-parameters
public:: ModelInitialization
!!!!! 2) The subroutine that is called on reset of NP-parameters in TMD-module
!!!!! arg=array of new NP-parameters
public:: ModelUpdate
!!!!! 3) Function which returns FNP function
!!!!! arg=(x,z,b,hadron,lambdaNP) with x=x_Bj for TMD (real_dp), z=convolution variable(real_dp),
!!!!! b=transverse distance(real_dp), hadron=number of the hadron in grid(integer)
!!!!! lambdaNP = array of NP parameters (real_dp(:))
real(dp),public,dimension(-5:5):: FNP
!!!!! 4) Function which returns the value of b used as argument of convolution integrals
!!!!! arg=(b,lambdaNP) with b=transverse distance(real_dp), lambdaNP = array of NP parameters (real_dp(:))
real(dp),public:: bSTAR
!!!!! 5) Function which returns the scale of matching (OPE scale)
!!!!! arg=(z,bt) with z=convolution variable(real_dp), b=transverse distance(real_dp)
real(dp),public:: mu_OPE
!!!!! 6) Subroutine which returns the array of parameters CA which compose the TMDs into a single one
!!!!! i.e. the TMD for hardon=h is build as TMD(h)=Sum_c CA(h,c) TMD(c)
!!!!! it is used only if the option UseComposite TMD is ON,
!!!!! arg=(h,lambdaNP,includeArray,CA) with h=hadron(integer),lambdaNP = array of NP parameters (real_dp(:))
!!!!! includeArray=logical array with .true. for terms included in the sum (logical(:),allocatable,intent(out))
!!!!! CA=coefficient CA (real_dp(:),allocatable,intent(out))
public:: GetCompositionArray
!!!!! 7) Subroutine which returns the array of NP-parameters corresponding to certain integer (replica)
!!!!! arg=rep input integer, NParray (real_dp(:), allocatable, intent(out)) returned array
public:: GetReplicaParameters
!!!!!------------------------------------------------------------------------------------
real(dp),allocatable::NPparam(:)
contains
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! USER DEFINED FUNCTIONS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!! Write nessecery model intitialization.
subroutine ModelInitialization(NPstart)
real(dp),intent(in)::NPstart(:)
allocate(NPparam(1:size(NPstart)))
NPparam=NPstart
write(*,*) color(">>> The model for lpTMDPDF is NONAME. Please, just cite me... <<<",c_cyan)
end subroutine ModelInitialization
!!!!!! Write nessecery model update (e.g. save current NP-parameters)
!!!!!! newNPParams is the new NP-array
subroutine ModelUpdate(newNPParams)
real(dp),intent(in):: newNPParams(:)
NPparam=newNPParams !! save new vector of NP-parameters
end subroutine ModelUpdate
!!! This is non-pertrubative function
!!! non=pertrubative parameters are lambdaNP()
!!! x-- is the bjorken variable of TMD
!!! z-- is convolution variable
function FNP(x,z,bT,hadron,lambdaNP)
real(dp),intent(in)::x,z,bT
integer,intent(in)::hadron
real(dp),intent(in)::lambdaNP(:)
real(dp)::FNP0
FNP0=Exp(-0.5d0*bT**2)
FNP=FNP0*(/1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0/)
end function FNP
!!!! This is the function b* that enter the logarithms of coefficient function
!!!! at small-b it should be ~b to match the collinear regime
!!!! at large-b it is a part of model
!!!! NOTE: if it is lambda-dependent, the grid will be recalculate each reset of lambdaNP
pure function bSTAR(bT,lambdaNP)
real(dp),intent(in)::bT
real(dp),intent(in)::lambdaNP(:)
bSTAR=bT/sqrt(1d0+(bT/500d0)**2)
end function bSTAR
!!!!This function is the mu(x,b), which is used inside the OPE
pure function mu_OPE(z,bt,c4)
real(dp),intent(in)::z,bt
real(dp),intent(in),optional::c4
if(present(c4)) then
mu_OPE=C0_const*c4/bT+2d0
!mu_OPE=C0_const/bT*sqrt(1+(bT/1.)**2)
else
mu_OPE=C0_const/bT+2d0
end if
if(mu_OPE>1000d0) then
mu_OPE=1000d0
end if
end function mu_OPE
!!!! if the option UseComposite TMD is OFF, this function is ignored
!!!! If the option UseComposite TMD is ON,
!!!! than the TMD for hardon is build as TMD(hadron)=Sum_c CA(h,c) TMD(c)
!!!! where h=hadron, CA=coefficientArray
!!!! coefficientArray real(dp) list of coefficeints
!!!! includeArray is logical array list (true=TMD(c) is computed, false TMD(c) ignored)
subroutine GetCompositionArray(hadron,lambdaNP,includeArray,coefficientArray)
real(dp),intent(in)::lambdaNP(:)
integer::hadron
logical,allocatable,intent(out)::includeArray(:)
real(dp),allocatable,intent(out)::coefficientArray(:)
allocate(includeArray(1:1))
allocate(coefficientArray(1:1))
end subroutine GetCompositionArray
!!! In SV19 model the replica parameters are stored in separate file.
subroutine GetReplicaParameters(rep,NParray)
integer,intent(in)::rep
real(dp),allocatable,intent(out)::NParray(:)
integer::i
allocate(NParray(1:size(NPparam)))
write(*,*) warningstring("THERE IS NOT YET FIT OF LINEARLY POLARIZED GLUONS","NONAME")
write(*,*) warningstring("some generic NP values returned","SV19")
NParray(1)=1d0
do i=2,size(NPparam)
NParray(1)=0.001d0
end do
end subroutine GetReplicaParameters
end module lpTMDPDF_model
| 5,940 | 37.083333 | 114 | f90 |
artemide-public | artemide-public-master/src/Model/uTMDFF_model.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! Model for unpolarized TMD FF SV19 [1912.06532]
!
! A.Vladimirov (11.07.2019)
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module uTMDFF_model
use aTMDe_Numerics
use IO_functions
implicit none
private
!!!!!------------------------------------------------------------------------------------
!!!!! These functions MUST defined in module !!
!!!!!
!!!!! 1) The subroutine is called during the initialization of TMD-module
!!!!! arg=array of initial NP-parameters
public:: ModelInitialization
!!!!! 2) The subroutine that is called on reset of NP-parameters in TMD-module
!!!!! arg=array of new NP-parameters
public:: ModelUpdate
!!!!! 3) Function which returns FNP function
!!!!! arg=(x,z,b,hadron,lambdaNP) with x=x_Bj for TMD (real_dp), z=convolution variable(real_dp),
!!!!! b=transverse distance(real_dp), hadron=number of the hadron in grid(integer)
!!!!! lambdaNP = array of NP parameters (real_dp(:))
real(dp),public,dimension(-5:5):: FNP
!!!!! 4) Function which returns the value of b used as argument of convolution integrals
!!!!! arg=(b,lambdaNP) with b=transverse distance(real_dp), lambdaNP = array of NP parameters (real_dp(:))
real(dp),public:: bSTAR
!!!!! 5) Function which returns the scale of matching (OPE scale)
!!!!! arg=(z,bt) with z=convolution variable(real_dp), b=transverse distance(real_dp)
real(dp),public:: mu_OPE
!!!!! 6) Subroutine which returns the array of parameters CA which compose the TMDs into a single one
!!!!! i.e. the TMD for hardon=h is build as TMD(h)=Sum_c CA(h,c) TMD(c)
!!!!! it is used only if the option UseComposite TMD is ON,
!!!!! arg=(h,lambdaNP,includeArray,CA) with h=hadron(integer),lambdaNP = array of NP parameters (real_dp(:))
!!!!! includeArray=logical array with .true. for terms included in the sum (logical(:),allocatable,intent(out))
!!!!! CA=coefficient CA (real_dp(:),allocatable,intent(out))
public:: GetCompositionArray
!!!!! 7) Subroutine which returns the array of NP-parameters corresponding to certain integer (replica)
!!!!! arg=rep input integer, NParray (real_dp(:), allocatable, intent(out)) returned array
public:: GetReplicaParameters
!!!!!------------------------------------------------------------------------------------
real(dp),allocatable::NPparam(:)
contains
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! USER DEFINED FUNCTIONS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!! Write nessecery model intitialization.
subroutine ModelInitialization(NPstart)
real(dp),intent(in)::NPstart(:)
allocate(NPparam(1:size(NPstart)))
NPparam=NPstart
write(*,*) color(">>> The model for uTMDFF is SV19. Please, cite [1912.06532] <<<",c_cyan)
end subroutine ModelInitialization
!!!!!! Write nessecery model update (e.g. save current NP-parameters)
!!!!!! newNPParams is the new NP-array
subroutine ModelUpdate(newNPParams)
real(dp),intent(in):: newNPParams(:)
NPparam=newNPParams !! save new vector of NP-parameters
end subroutine ModelUpdate
!!! This is non-pertrubative function
!!! non=pertrubative parameters are lambdaNP()
!!! x-- is the bjorken variable of TMD
!!! z-- is convolution variable
function FNP(x,z,bT,hadron,lambdaNP)
real(dp),intent(in)::x,z,bT
integer,intent(in)::hadron
real(dp),intent(in)::lambdaNP(:)
real(dp)::FNP0
real(dp)::bb,w1,w2,M
bb=bT**2/x**2
! if(hadron==1) then
w1=lambdaNP(1)*x+lambdaNP(2)*(1d0-x)
w2=lambdaNP(3)
FNP0=Exp(-bb*w1/sqrt(1d0+w2*bb))*(1+lambdaNP(4)*bb)
! else
! w1=lambdaNP(5)*x+lambdaNP(6)*(1d0-x)
! w2=lambdaNP(7)
! FNP0=Exp(-bb*w1/sqrt(1d0+w2*bb))*(1+lambdaNP(8)*bb)
! end if
FNP=FNP0*(/1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0/)
end function FNP
!!!! This is the function b* that enter the logarithms of coefficient function
!!!! at small-b it should be ~b to match the collinear regime
!!!! at large-b it is a part of model
!!!! NOTE: if it is lambda-dependent, the grid will be recalculate each reset of lambdaNP
pure function bSTAR(bT,lambdaNP)
real(dp),intent(in)::bT
real(dp),intent(in)::lambdaNP(:)
bSTAR=bT/sqrt(1d0+(bT/500d0)**2)
end function bSTAR
!!!!This function is the mu(x,b), which is used inside the OPE
pure function mu_OPE(z,bt,c4)
real(dp),intent(in)::z,bt
real(dp),intent(in),optional::c4
if(present(c4)) then
mu_OPE=C0_const*c4*z/bT+2d0
!mu_OPE=C0_const/bT*sqrt(1+(bT/1.)**2)
else
mu_OPE=C0_const*z/bT+2d0
end if
if(mu_OPE>1000d0) then
mu_OPE=1000d0
end if
end function mu_OPE
!!!! if the option UseComposite TMD is OFF, this function is ignored
!!!! If the option UseComposite TMD is ON,
!!!! than the TMD for hardon is build as TMD(hadron)=Sum_c CA(h,c) TMD(c)
!!!! where h=hadron, CA=coefficientArray
!!!! coefficientArray real(dp) list of coefficeints
!!!! includeArray is logical array list (true=TMD(c) is computed, false TMD(c) ignored)
subroutine GetCompositionArray(hadron,lambdaNP,includeArray,coefficientArray)
real(dp),intent(in)::lambdaNP(:)
integer::hadron
logical,allocatable,intent(out)::includeArray(:)
real(dp),allocatable,intent(out)::coefficientArray(:)
allocate(includeArray(1:1))
allocate(coefficientArray(1:1))
end subroutine GetCompositionArray
!!! In SV19 model the replica parameters are stored in separate file.
subroutine GetReplicaParameters(rep,NParray)
integer,intent(in)::rep
real(dp),allocatable,intent(out)::NParray(:)
integer::i
allocate(NParray(1:size(NPparam)))
write(*,*) warningstring("set model replica via artemide-control module","SV19")
write(*,*) warningstring("some generic NP values returned","SV19")
NParray(1)=1d0
do i=2,size(NPparam)
NParray(1)=0.001d0
end do
end subroutine GetReplicaParameters
end module uTMDFF_model
| 6,260 | 36.716867 | 114 | f90 |
artemide-public | artemide-public-master/src/Model/uTMDPDF_model.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! Model for unpolarized TMD PDF Vpion19.bFIT [1907.10356]
!
! proton uTMDPDF is from BSV19.HERA set (h=1)
! pion uTMDPDF is here (h=2)
!
! Requres 6 (proton)+3 (pion)=9 NP parameters
! Uses HERAPDF20_NNLO_VAR and JAM18PionPDFnlo
! A.Vladimirov (11.07.2019)
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module uTMDPDF_model
use aTMDe_Numerics
use IO_functions
implicit none
private
!!!!!------------------------------------------------------------------------------------
!!!!! These functions MUST defined in module !!
!!!!!
!!!!! 1) The subroutine is called during the initialization of TMD-module
!!!!! arg=array of initial NP-parameters
public:: ModelInitialization
!!!!! 2) The subroutine that is called on reset of NP-parameters in TMD-module
!!!!! arg=array of new NP-parameters
public:: ModelUpdate
!!!!! 3) Function which returns FNP function
!!!!! arg=(x,z,b,hadron,lambdaNP) with x=x_Bj for TMD (real_dp), z=convolution variable(real_dp),
!!!!! b=transverse distance(real_dp), hadron=number of the hadron in grid(integer)
!!!!! lambdaNP = array of NP parameters (real_dp(:))
real(dp),public,dimension(-5:5):: FNP
!!!!! 4) Function which returns the value of b used as argument of convolution integrals
!!!!! arg=(b,lambdaNP) with b=transverse distance(real_dp), lambdaNP = array of NP parameters (real_dp(:))
real(dp),public:: bSTAR
!!!!! 5) Function which returns the scale of matching (OPE scale)
!!!!! arg=(z,bt) with z=convolution variable(real_dp), b=transverse distance(real_dp)
real(dp),public:: mu_OPE
!!!!! 6) Subroutine which returns the array of parameters CA which compose the TMDs into a single one
!!!!! i.e. the TMD for hardon=h is build as TMD(h)=Sum_c CA(h,c) TMD(c)
!!!!! it is used only if the option UseComposite TMD is ON,
!!!!! arg=(h,lambdaNP,includeArray,CA) with h=hadron(integer),lambdaNP = array of NP parameters (real_dp(:))
!!!!! includeArray=logical array with .true. for terms included in the sum (logical(:),allocatable,intent(out))
!!!!! CA=coefficient CA (real_dp(:),allocatable,intent(out))
public:: GetCompositionArray
!!!!! 7) Subroutine which returns the array of NP-parameters corresponding to certain integer (replica)
!!!!! arg=rep input integer, NParray (real_dp(:), allocatable, intent(out)) returned array
public:: GetReplicaParameters
!!!!!------------------------------------------------------------------------------------
real(dp),allocatable::NPparam(:)
contains
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! USER DEFINED FUNCTIONS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!! Write nessecery model intitialization.
subroutine ModelInitialization(NPstart)
real(dp),intent(in)::NPstart(:)
allocate(NPparam(1:size(NPstart)))
NPparam=NPstart
write(*,*) color(">>> The model for uTMDPDF for ART23 <<<",c_cyan)
end subroutine ModelInitialization
!!!!!! Write nessecery model update (e.g. save current NP-parameters)
!!!!!! newNPParams is the new NP-array
subroutine ModelUpdate(newNPParams)
real(dp),intent(in):: newNPParams(:)
NPparam=newNPParams !! save new vector of NP-parameters
end subroutine ModelUpdate
!!! This is non-pertrubative function
!!! non=pertrubative parameters are lambdaNP()
!!! x-- is the bjorken variable of TMD
!!! z-- is convolution variable
function FNP(x,z,bT,hadron,lambdaNP)
real(dp),intent(in)::x,z,bT
integer,intent(in)::hadron
real(dp),intent(in)::lambdaNP(:)
real*8::FNP0,FNPu,FNPd,FNPubar,FNPdbar,FNPr
real*8::bb,w1,w2,w3,wu,wd,wubar,wdbar,wr,wcommon
if(hadron==1) then
bb=bT**2
wu=lambdaNP(1)*(1-x)+x*lambdaNP(2)
wd=lambdaNP(3)*(1-x)+x*lambdaNP(4)
wubar=lambdaNP(5)*(1-x)+x*lambdaNP(6)
wdbar=lambdaNP(7)*(1-x)+x*lambdaNP(8)
wr=lambdaNP(9)*(1-x)+x*lambdaNP(10)
!wcommon=(lambdaNP(11)*x**2+lambdaNP(12))
if(wu<0d0 .or. wd<0d0 .or. wubar<0d0 .or. wdbar<0d0 .or. wr<0d0 .or. wcommon<0d0) then
FNPu=Exp(-10d0*bb)
FNPd=Exp(-10d0*bb)
FNPubar=Exp(-10d0*bb)
FNPdbar=Exp(-10d0*bb)
FNPr=Exp(-10d0*bb)
else
FNPu=1d0/cosh(wu*bT)
FNPd=1d0/cosh(wd*bT)
FNPubar=1d0/cosh(wubar*bT)
FNPdbar=1d0/cosh(wdbar*bT)
FNPr=1d0/cosh(wr*bT)
end if
FNP=(/&
FNPr,FNPr,FNPr,FNPubar,FNPdbar,&
0d0,&
FNPd,FNPu,FNPr,FNPr,FNPr/)
else
bb=bT**2
w1=(lambdaNP(7)+(1-x)**2*lambdaNP(8))
w2=lambdaNP(9)
if(w2<0d0 .or. w1<0d0) then
FNP0=-1d0
else
FNP0=Exp(-w1*bb/sqrt(1+w2*bb))
end if
FNP=FNP0*(/1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0/)
end if
end function FNP
!!!! This is the function b* that enter the logarithms of coefficient function
!!!! at small-b it should be ~b to match the collinear regime
!!!! at large-b it is a part of model
!!!! NOTE: if it is lambda-dependent, the grid will be recalculate each reset of lambdaNP
pure function bSTAR(bT,lambdaNP)
real(dp),intent(in)::bT
real(dp),intent(in)::lambdaNP(:)
bSTAR=bT/sqrt(1d0+(bT/500d0)**2)
!bSTAR=bT/(1d0+bT*2/C0_const)
!bSTAR=bT/sqrt(1+(bT/1.)**2)
end function bSTAR
!!!!This function is the mu(x,b), which is used inside the OPE
pure function mu_OPE(z,bt,c4)
real(dp),intent(in)::z,bt
real(dp),intent(in),optional::c4
if(present(c4)) then
mu_OPE=C0_const*c4/bT+2d0
!mu_OPE=C0_const/bT*sqrt(1+(bT/1.)**2)
else
mu_OPE=C0_const/bT+2d0
end if
if(mu_OPE>1000d0) then
mu_OPE=1000d0
end if
end function mu_OPE
!!!! if the option UseComposite TMD is OFF, this function is ignored
!!!! If the option UseComposite TMD is ON,
!!!! than the TMD for hardon is build as TMD(hadron)=Sum_c CA(h,c) TMD(c)
!!!! where h=hadron, CA=coefficientArray
!!!! coefficientArray real(dp) list of coefficeints
!!!! includeArray is logical array list (true=TMD(c) is computed, false TMD(c) ignored)
subroutine GetCompositionArray(hadron,lambdaNP,includeArray,coefficientArray)
real(dp),intent(in)::lambdaNP(:)
integer::hadron
logical,allocatable,intent(out)::includeArray(:)
real(dp),allocatable,intent(out)::coefficientArray(:)
allocate(includeArray(1:1))
allocate(coefficientArray(1:1))
end subroutine GetCompositionArray
!!! In SV19 model the replica parameters are stored in separate file.
subroutine GetReplicaParameters(rep,NParray)
integer,intent(in)::rep
real(dp),allocatable,intent(out)::NParray(:)
real*8,parameter,dimension(1:6):: protonNP=(/0.3204d0, 11.8747d0, 298.593d0, 1.8738d0, -9.0685d0, 0.0d0/)
real,parameter,dimension(1:309)::replicas=(/&
0.173426, 0.482789, 2.15172, &
0.093, 0.264, 0.377,&
0.173426, 0.482789, 2.15172, &
0.249541, 0.634629, 3.09413, &
0.105834, 0.156929, 0.385113, &
0.0978039, 0.281598, 0.449822, &
0.154557, 0.350553, 1.10694, &
0.261972, 0.676967, 3.37234, &
0.183507, 0.520334, 1.87893, &
0.0785418, 0.356815, 0.41225, &
0.355825, 0.846914, 5.60176, &
0.223488, 0.553231, 2.8377, &
0.629039, 1.61353, 16.4577, &
0.0818166, 0.360383, 0.435636, &
0.222895, 0.629612, 2.65102, &
0.0965146, 0.178813, 0.219953, &
0.491635, 1.15167, 10.0341, &
0.153072, 0.319388, 1.10683, &
0.161597, 0.382618, 1.2612, &
0.128724, 0.373911, 0.736818, &
0.152192, 0.290414, 0.823574, &
0.0954244, 0.278245, 0.356441, &
0.165523, 0.345776, 1.29734, &
0.176371, 0.421179, 1.6543, &
0.198816, 0.340405, 1.68137, &
0.0894031, 0.322207, 0.387982, &
0.163753, 0.473674, 1.29232, &
0.0947285, 0.198516, 0.326766, &
0.0814235, 0.329594, 0.422357, &
0.149341, 0.366549, 0.914248, &
0.0942002, 0.266578, 0.368842, &
0.133111, 0.572628, 1.31634, &
0.180704, 0.41721, 1.62999, &
0.065896, 0.316252, 0.250545, &
0.10734, 0.247779, 0.362931, &
0.139521, 0.471966, 1.31441, &
0.366519, 1.25787, 8.21266, &
0.0790098, 0.241259, 0.230682, &
0.581215, 2.27234, 21.0271, &
0.0954821, 0.261137, 0.374515, &
0.115915, 0.368228, 0.786806, &
0.273399, 0.749383, 4.03135, &
0.465171, 1.07553, 9.80427, &
0.0903598, 0.263619, 0.406335, &
0.123613, 0.374445, 0.849558, &
0.285171, 0.418185, 3.34914, &
0.269755, 0.553625, 3.96405, &
0.259095, 1.16033, 4.84876, &
0.0899398, 0.248281, 0.399757, &
0.259753, 0.814591, 4.63706, &
0.0947479, 0.272567, 0.365655, &
0.108101, 0.256952, 0.452232, &
0.0914599, 0.304369, 0.38939, &
0.170683, 0.272946, 1.06934, &
0.118159, 0.279235, 0.604779, &
0.264408, 0.762043, 3.82065, &
0.0784105, 0.316828, 0.458274, &
0.360117, 1.33631, 9.64109, &
0.105368, 0.225053, 0.322375, &
0.0987314, 0.303631, 0.477949, &
0.150731, 0.437147, 1.11623, &
0.238012, 0.87718, 2.98115, &
0.278189, 0.492043, 3.65615, &
0.0804673, 0.2964, 0.289875, &
0.0837756, 0.328657, 0.428778, &
0.100518, 0.276298, 0.456033, &
0.104566, 0.200711, 0.347386, &
0.132109, 0.380439, 1.01348, &
0.113121, 0.188703, 0.36785, &
0.103887, 0.26594, 0.400361, &
0.0936283, 0.272979, 0.366824, &
0.112749, 0.393731, 0.670924, &
0.12597, 0.491501, 1.02126, &
0.184632, 0.567039, 1.97799, &
0.0897044, 0.244245, 0.395551, &
0.101595, 0.265109, 0.38515, &
0.247302, 0.471764, 2.98563, &
0.284248, 0.821081, 4.66352, &
0.18231, 1.03437, 3.07118, &
0.108571, 0.375484, 0.727352, &
0.140538, 0.270434, 0.67072, &
0.233778, 0.496306, 3.07228, &
0.120892, 0.378347, 0.696918, &
0.322058, 0.91204, 6.34466, &
0.134719, 0.352275, 0.759533, &
0.157389, 0.4007, 1.20728, &
0.0814492, 0.37148, 0.442985, &
0.239761, 0.604956, 2.83285, &
0.104431, 0.216468, 0.423611, &
0.113135, 0.307468, 0.522409, &
0.128644, 0.357123, 0.837743, &
0.136476, 0.292455, 0.815463, &
0.143915, 0.468419, 1.26521, &
0.0938552, 0.272222, 0.374274, &
0.17918, 0.457854, 1.82332, &
0.0827782, 0.270842, 0.342522, &
0.167811, 0.298295, 1.05922, &
0.170454, 0.315802, 1.18806, &
0.0885638, 0.321581, 0.444846, &
0.33685, 1.1168, 6.69006, &
0.131763, 0.302245, 0.888346, &
0.117674, 0.38926, 0.906957, &
0.391747, 0.989056, 7.27382/)
allocate(NParray(1:9))
if(rep>100) then
write(*,*) color('ERROR in Vpion19 model. It has only 100 replicas. Central replica is set',c_red)
NParray=(/protonNP(1),protonNP(2),protonNP(3),protonNP(4),protonNP(5),protonNP(6),&
1d0*replicas((0+2)*3+1),1d0*replicas((0+2)*3+2),1d0*replicas((0+2)*3+3)/)
else
NParray=(/protonNP(1),protonNP(2),protonNP(3),protonNP(4),protonNP(5),protonNP(6),&
1d0*replicas((rep+2)*3+1),1d0*replicas((rep+2)*3+2),1d0*replicas((rep+2)*3+3)/)
end if
end subroutine GetReplicaParameters
end module uTMDPDF_model
| 11,216 | 35.067524 | 114 | f90 |
artemide-public | artemide-public-master/src/Model/wgtTMDPDF_model.f90 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! Model for worm gear T TMD PDF
!
! A.Vladimirov (09.11.2021)
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
module wgtTMDPDF_model
use aTMDe_Numerics
use IO_functions
implicit none
private
!!!!!------------------------------------------------------------------------------------
!!!!! These functions MUST defined in module !!
!!!!!
!!!!! 1) The subroutine is called during the initialization of TMD-module
!!!!! arg=array of initial NP-parameters
public:: ModelInitialization
!!!!! 2) The subroutine that is called on reset of NP-parameters in TMD-module
!!!!! arg=array of new NP-parameters
public:: ModelUpdate
!!!!! 3) Function which returns FNP function
!!!!! arg=(x,z,b,hadron,lambdaNP) with x=x_Bj for TMD (real_dp), z=convolution variable(real_dp),
!!!!! b=transverse distance(real_dp), hadron=number of the hadron in grid(integer)
!!!!! lambdaNP = array of NP parameters (real_dp(:))
real(dp),public,dimension(-5:5):: FNP
!!!!! 3.5) Function which returns g1T_tw3NP function
!!!!! arg=(x,hadron,lambdaNP) with x=x_Bj for TMD (real_dp), hadron=number of the hadron in grid(integer)
!!!!! lambdaNP = array of NP parameters (real_dp(:))
real(dp),public,dimension(-5:5):: g1T_tw3NP
!!!!! 4) Function which returns the value of b used as argument of convolution integrals
!!!!! arg=(b,lambdaNP) with b=transverse distance(real_dp), lambdaNP = array of NP parameters (real_dp(:))
real(dp),public:: bSTAR
!!!!! 5) Function which returns the scale of matching (OPE scale)
!!!!! arg=(z,bt) with z=convolution variable(real_dp), b=transverse distance(real_dp)
real(dp),public:: mu_OPE
!!!!! 6) Subroutine which returns the array of parameters CA which compose the TMDs into a single one
!!!!! i.e. the TMD for hardon=h is build as TMD(h)=Sum_c CA(h,c) TMD(c)
!!!!! it is used only if the option UseComposite TMD is ON,
!!!!! arg=(h,lambdaNP,includeArray,CA) with h=hadron(integer),lambdaNP = array of NP parameters (real_dp(:))
!!!!! includeArray=logical array with .true. for terms included in the sum (logical(:),allocatable,intent(out))
!!!!! CA=coefficient CA (real_dp(:),allocatable,intent(out))
public:: GetCompositionArray
!!!!! 7) Subroutine which returns the array of NP-parameters corresponding to certain integer (replica)
!!!!! arg=rep input integer, NParray (real_dp(:), allocatable, intent(out)) returned array
public:: GetReplicaParameters
!!!!!------------------------------------------------------------------------------------
real(dp),allocatable::NPparam(:)
contains
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! USER DEFINED FUNCTIONS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!! Write nessecery model intitialization.
subroutine ModelInitialization(NPstart)
real(dp),intent(in)::NPstart(:)
allocate(NPparam(1:size(NPstart)))
NPparam=NPstart
write(*,*) color(">>> The model for uTMDPDF is Vpion19 & BSV19. Please, cite [1902.08474]&[1907.10356] <<<",c_cyan)
end subroutine ModelInitialization
!!!!!! Write nessecery model update (e.g. save current NP-parameters)
!!!!!! newNPParams is the new NP-array
subroutine ModelUpdate(newNPParams)
real(dp),intent(in):: newNPParams(:)
NPparam=newNPParams !! save new vector of NP-parameters
end subroutine ModelUpdate
!!! This is non-pertrubative function
!!! non=pertrubative parameters are lambdaNP()
!!! x-- is the bjorken variable of TMD
!!! z-- is convolution variable
!!! -------------------------------
!!! lambdaNP is same as for g1T_tw3NP !!
!!! -------------------------------
function FNP(x,z,bT,hadron,lambdaNP)
real(dp),intent(in)::x,z,bT
integer,intent(in)::hadron
real(dp),intent(in)::lambdaNP(:)
real*8::FNP0
!FNP0=lambdaNP(2)/cosh(lambdaNP(1)*bT)
!FNP=FNP0*(/1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0/)
FNP0=1/cosh(lambdaNP(1)*bT)
FNP=FNP0*(/1d0,1d0,lambdaNP(4),lambdaNP(4),lambdaNP(4),0d0,lambdaNP(3),lambdaNP(2),lambdaNP(4),1d0,1d0/)
end function FNP
!!! This is non-perturbative function for twist-3 part of small-b limit of worm-gear T TMDPDF
!!! non=pertrubative parameters are lambdaNP()
!!! x-- is the bjorken variable of TMD
!!! -------------------------------
!!! lambdaNP is same as for fNP !!
!!! -------------------------------
function g1T_tw3NP(x,hadron,lambdaNP)
real(dp),intent(in)::x
integer,intent(in)::hadron
real(dp),intent(in)::lambdaNP(:)
real*8::f0
f0=0d0
g1T_tw3NP=f0*(/1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0,1d0/)
end function g1T_tw3NP
!!!! This is the function b* that enter the logarithms of coefficient function
!!!! at small-b it should be ~b to match the collinear regime
!!!! at large-b it is a part of model
!!!! NOTE: if it is lambda-dependent, the grid will be recalculate each reset of lambdaNP
pure function bSTAR(bT,lambdaNP)
real(dp),intent(in)::bT
real(dp),intent(in)::lambdaNP(:)
bSTAR=bT/sqrt(1d0+(bT/500d0)**2)
end function bSTAR
!!!!This function is the mu(x,b), which is used inside the OPE
pure function mu_OPE(z,bt,c4)
real(dp),intent(in)::z,bt
real(dp),intent(in),optional::c4
if(present(c4)) then
mu_OPE=C0_const*c4/bT+2d0
!mu_OPE=C0_const/bT*sqrt(1+(bT/1.)**2)
else
mu_OPE=C0_const/bT+2d0
end if
if(mu_OPE>1000d0) then
mu_OPE=1000d0
end if
end function mu_OPE
!!!! if the option UseComposite TMD is OFF, this function is ignored
!!!! If the option UseComposite TMD is ON,
!!!! than the TMD for hardon is build as TMD(hadron)=Sum_c CA(h,c) TMD(c)
!!!! where h=hadron, CA=coefficientArray
!!!! coefficientArray real(dp) list of coefficeints
!!!! includeArray is logical array list (true=TMD(c) is computed, false TMD(c) ignored)
subroutine GetCompositionArray(hadron,lambdaNP,includeArray,coefficientArray)
real(dp),intent(in)::lambdaNP(:)
integer::hadron
logical,allocatable,intent(out)::includeArray(:)
real(dp),allocatable,intent(out)::coefficientArray(:)
allocate(includeArray(1:1))
allocate(coefficientArray(1:1))
end subroutine GetCompositionArray
!!! In SV19 model the replica parameters are stored in separate file.
subroutine GetReplicaParameters(rep,NParray)
integer,intent(in)::rep
real(dp),allocatable,intent(out)::NParray(:)
integer::i
allocate(NParray(1:size(NPparam)))
write(*,*) warningstring("set model replica via artemide-control module","wgT")
write(*,*) warningstring("some generic NP values returned","wgT")
NParray(1)=1d0
do i=2,size(NPparam)
NParray(1)=0.001d0
end do
end subroutine GetReplicaParameters
end module wgtTMDPDF_model
| 6,991 | 38.280899 | 122 | f90 |
artemide-public | artemide-public-master/src/Tables/BesselZero.f90 | !!!!This is table of zeros of bessel function J0,..,J3 up to 200
!!!!
!!!! the table is j0,j1,j2,j3(1-root),j0,j1,j2,j3(2-root)
!!!! udated for v1.41 (12.03.2019) (A.Vladimirov)
real(dp),dimension(0:3,1:Nmax),parameter::JZero=reshape((/&
2.4048255576957727686216318793265_dp, 3.8317059702075123156144358863082_dp, &
5.1356223018406825563014016901378_dp, 6.3801618959239835062366146419427_dp, &
5.5200781102863106495966041128130_dp, 7.0155866698156187535370499814765_dp, &
8.4172441403998648577836136761580_dp, 9.7610231299816696785453885000862_dp, &
8.6537279129110122169541987126609_dp, 10.173468135062722077185711776776_dp, &
11.619841172149059427094144986755_dp, 13.015200721698434419832684382879_dp, &
11.791534439014281613743044911925_dp, 13.323691936314223032393684126948_dp, &
14.795951782351260746661471320228_dp, 16.223466160318768122228024524950_dp, &
14.930917708487785947762593997389_dp, 16.470630050877632812552460470990_dp, &
17.959819494987826455115142077254_dp, 19.409415226435011553575420295721_dp, &
18.071063967910922543147882975618_dp, 19.615858510468242021125065884138_dp, &
21.116997053021845590962817082798_dp, 22.582729593104442027928009075353_dp, &
21.211636629879258959078393350526_dp, 22.760084380592771898053005152182_dp, &
24.270112313573102609583152428183_dp, 25.748166699294977635022331629115_dp, &
24.352471530749302737057944763179_dp, 25.903672087618382625495855445980_dp, &
27.420573549984557330570488191395_dp, 28.908350780921757858342340445134_dp, &
27.493479132040254795877288234607_dp, 29.046828534916855066647819883532_dp, &
30.569204495516397036604063539306_dp, 32.064852407097709482952251363775_dp, &
30.634606468431975117549578926854_dp, 32.189679910974403626622984104460_dp, &
33.716519509222699921959198425218_dp, 35.218670738610114657374842953082_dp, &
33.775820213573568684238546346715_dp, 35.332307550083865102634479022519_dp, &
36.862856511283809817518162941366_dp, 38.370472434756944364117735272543_dp, &
36.917098353664043979769493063273_dp, 38.474766234771615112052197557717_dp, &
40.008446733478192227261895006566_dp, 41.520719670406775549033549967527_dp, &
40.058425764628239294799307373994_dp, 41.617094212814450885863516805060_dp, &
43.153453778371463269900135114779_dp, 44.669743116617253070620026027512_dp, &
43.199791713176730357524072728743_dp, 44.759318997652821732779352713212_dp, &
46.297996677236919185152545485014_dp, 47.817785691533301888365414155942_dp, &
46.341188371661814018685788879113_dp, 47.901460887185447121274008722508_dp, &
49.442164110416872731070543201950_dp, 50.965029906205183304270065697431_dp, &
49.482609897397817173602761533178_dp, 51.043535183571509468733034633224_dp, &
52.586023506815963631762235503007_dp, 54.111615569821873930296229138608_dp, &
52.624051841114996029251285380392_dp, 54.185553641061320532099966214534_dp, &
55.729627053201144085573014119284_dp, 57.257651604499014080869205598496_dp, &
55.765510755019979311683492773462_dp, 57.327525437901010745090504243751_dp, &
58.873015772612164650109120458626_dp, 60.403224138472121535278996039731_dp, &
58.906983926080942132834406634616_dp, 60.469457845347491559398749808383_dp, &
62.016222359217653701902244080246_dp, 63.548402178567206488006135509057_dp, &
62.048469190227169882852500264651_dp, 63.611356698481232631039762417874_dp, &
65.159273190757797829068965281770_dp, 66.693241667372679460213432049015_dp, &
65.189964800206860440636033742512_dp, 66.753226734098493415305259750042_dp, &
68.302189784183460399289978944662_dp, 69.837788437904339776270219439729_dp, &
68.331469329856798270992303839984_dp, 69.895071837495773969730536435500_dp, &
71.444989866357852114065026538824_dp, 72.982080400432005140350940880054_dp, &
71.472981603593732825063073856130_dp, 73.036895225573834826506117569092_dp, &
74.587688173602402406057514474156_dp, 76.126149184774095573068427472748_dp, &
74.614500643701837883820540469336_dp, 76.178699584641457572852614623535_dp, &
77.730297056978903231600858137201_dp, 79.270021390055860364887771141645_dp, &
77.756025630388055037739371891234_dp, 79.320487175476299391184484872488_dp, &
80.872826946244764614635062206873_dp, 82.413719547267878630106355566440_dp, &
80.897555871137627863772143490873_dp, 82.462259914373556453986610648781_dp, &
84.015286709546167263026969007688_dp, 85.557262868829996929821182055237_dp, &
84.039090776938190157879638347998_dp, 85.604019436350230965949425493380_dp, &
87.157683935203351467159591745092_dp, 88.700667838222059270991158022861_dp, &
87.180629843641153651261805069049_dp, 88.745767144926306903735916434854_dp, &
90.300025154592920389847956637937_dp, 91.843948678147085097922584903141_dp, &
90.322172637210480055717766777628_dp, 91.887504251694985280553622214490_dp, &
93.442316020011125815745154163878_dp, 94.987117725465609446165244167644_dp, &
93.463718781944774171190591543981_dp, 95.029231808044695268050998187174_dp, &
96.584561447783203643969032670587_dp, 98.130185733874888293649043241741_dp, &
96.605267950996268778121617323928_dp, 98.170950730790781973537759160851_dp, &
99.726765734292801706949183732458_dp, 101.27316212007975484359733766047_dp, &
99.746819858680596470279979000135_dp, 101.31266182303873013714105638865_dp, &
102.86893265072788228312581201716_dp, 104.41605516539675324251803335537_dp, &
102.88837425419479459642003427256_dp, 104.45436579128276007136342813961_dp, &
106.01106552096340500241740284879_dp, 107.55887218193252115317370474093_dp, &
106.02993091645161551017691719188_dp, 107.59606325950917218267036427761_dp, &
109.15316728598199715341434725018_dp, 110.70161965039489504918138861441_dp, &
109.17148964980538355206597701275_dp, 110.73775478089921510860865288827_dp, &
112.29524055747167142084675582857_dp, 113.84430333503185636635239771113_dp, &
112.31305028049490962749450612218_dp, 113.87944084759499813488417492843_dp, &
115.43728766266442337825491222667_dp, 116.98692838000925682886566203595_dp, &
115.45461265366693962811775669403_dp, 117.02112189889242502757649460146_dp, &
118.57931068204164170314345284022_dp, 120.12949939063372411801804080652_dp, &
118.59617663087253171562938447524_dp, 120.16279832814900375811940782917_dp, &
121.72131148119620217155159586287_dp, 123.27202050213073457899726797977_dp, &
121.73774208795096296523436348334_dp, 123.30447048863571801676003206877_dp, &
124.86329173788123742704895117889_dp, 126.41449543814765238831277161191_dp, &
124.87930891323294604525912836690_dp, 126.44613869851659569779448049584_dp, &
128.00525296507315884050917189087_dp, 129.55692756072957066323761728614_dp, &
128.02087700600832407976355939230_dp, 129.58780324510399675374141784136_dp, &
131.14719653071777382494964322504_dp, 132.69931991318397587079464043915_dp, &
131.16244627521391460789611499153_dp, 132.72946438850961588677459735175_dp, &
134.28912367470306158692192054100_dp, 135.84167525698768375801650091083_dp, &
134.30401663830546609935289683410_dp, 135.87112236478900059180156821946_dp, &
137.43103552350268765265495857649_dp, 138.98399610368046877046922631908_dp, &
137.44558802028427778778266148333_dp, 139.01277738865970417843354613596_dp, &
140.57293310285488161908524452670_dp, 142.12628474252246251335124863269_dp, &
140.58716035285429654848890334006_dp, 142.15442965585902903270090809976_dp, &
143.71481734877749157675431306544_dp, 145.26854326455769404920935138894_dp, &
143.72873357368973253395071800477_dp, 145.29607934519590723242215085501_dp, &
146.85668911716851279429215974319_dp, 148.41077358361715918552628207145_dp, &
146.87030762579664959413270485825_dp, 148.43772662034223039593927702627_dp, &
149.99854919219959026033487531708_dp, 151.55297745470619425910946713021_dp, &
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486.16172025854264807328480056416_dp, 487.73149060555801798745619105586_dp, &
489.29922378862748050413268319910_dp, 490.86493927628410872453387646830_dp, &
489.30331126131940409774578087143_dp, 490.87308817987649776029810792137_dp, &
492.44084088918050573215093578311_dp, 494.00658861149238600736886244892_dp, &
492.44490228515899601668600916307_dp, 494.01468569161024135195118921542_dp, &
495.58245767978145009652462015859_dp, 497.14823723030500471735191605723_dp, &
495.58649332966086702078684377096_dp, 497.15628314194568804739102719151_dp, &
498.72407416628783623907834073729_dp, 500.28988514621864700051293358375_dp, &
498.72808439443455293802282359755_dp, 500.29788053203947649648729923581_dp, &
501.86569035441051459207292941869_dp, 503.43153237239307335046520579454_dp, &
501.86967547909936635010781928003_dp, 503.43947786301937452961457396779_dp, &
505.00730624971822568381039884347_dp, 506.57317892166157093392901722051_dp, &
505.01126658328409249909412547840_dp, 506.58107513598517437553303026734_dp, &
508.14892185764199320090204692967_dp, 509.71482480654101548865919843997_dp, &
508.15285770662669647389647235679_dp, 509.72267235200955477419631233361_dp, &
511.29053718347935508686725969205_dp, 512.85647003924156336578485257014_dp, &
511.29444884877404119159269543381_dp, 512.86426951213891140399684269620_dp, &
514.43215223239843960106175331363_dp, 515.99811463167598948128047976195_dp, &
514.43604000938161571205416906272_dp, 516.00586661739415697382005362706_dp, &
517.57376700944189292569600445745_dp, 519.13975859546868617797377737599_dp, &
517.57763118811327344686574343389_dp, 519.14746366877149226490563227176_dp, &
520.71538151953066459072506062518_dp, 522.28140194196433727751087638128_dp, &
520.71922238464097984468493957250_dp, 522.28906066724314934567951059920_dp, &
523.85699576746765668557476500276_dp, 525.42304468223628091857310212258_dp, &
523.86081359864456915523651010798_dp, 525.43065761375810812421336904650_dp, &
526.99860975794124254199344868463_dp, 528.56468682709457413106055820725_dp, &
527.00240482981150989310934034999_dp, 528.57225450924278734759109766163_dp, &
530.14022349552866030282581745422_dp, 531.70632838709377148376712491865_dp, &
530.14399607783667864048177529477_dp, 531.71385135460171110502905899327_dp, &
533.28183698469928653630255862275_dp, 534.84796937254042956324861178604_dp, &
533.28558734242214184490841475993_dp, 534.85544815071815184193615858403_dp, &
536.42345022981779481368821541602_dp, 537.98960979350034849224037321966_dp, &
536.42717862327694528441198256460_dp, 537.99704489845475084504879742006_dp, &
539.56506323514720393904782613463_dp, 541.13124965980556117534299988932_dp, &
539.56876992011691088739023694450_dp, 541.13864159865411711418323790003_dp, &
542.70667600485182030274628744461_dp, 544.27288898106108046610743291827_dp, &
542.71036123266444060931891545414_dp, 544.28023825213940549387186281104_dp, &
545.84828854300007862439639564009_dp, 547.41452776665141398156135080503_dp, &
545.85195256064832708195317202468_dp, 547.42183485971487489805730510754_dp, &
548.98990085356728515567831289652_dp, 550.55616602574685584617176312320_dp, &
548.99354390380357076374475894474_dp, 550.56343142216642742298487896041_dp, &
552.13151294043826722816135708667_dp, 553.69780376730956422587006042251_dp, &
552.13513526187120333254054012990_dp, 553.70502794026212910734232974018_dp, &
555.27312480740993285540264088154_dp, 556.83944100009943311279565240274_dp, &
555.27672663459811707334749969882_dp, 556.84662441475271306443707221683_dp, &
558.41473645819374393164532763571_dp, 559.98107773267976644164209619733_dp, &
558.41831802173690002507560380059_dp, 559.98822084637206567867199386789_dp, &
561.55634789641810641089393752878_dp, 563.12271397342276225778828848423_dp, &
561.55990942304567666073587936129_dp, 563.12981723583769652768506436366_dp, &
564.69795912563068069953752647869_dp, 566.26434973051481431470867214230_dp, &
564.70150083828795388560805507539_dp, 566.27141358385119266216480261678_dp, &
567.83957014930061535258443632037_dp, 569.40598501196163815248652619987_dp, &
567.84309226723247214742933517053_dp, 569.41300989109865784745799791542_dp, &
570.98118097082070702755202697267_dp, 572.54761982559322839966930555602_dp, &
570.98468370965306146172084152242_dp, 572.55460615825113734456798730395_dp, &
574.12279159350948952073353876413_dp, 575.68925417906865374632678587594_dp, &
574.12627516532850216398680588732_dp, 575.69620238596502878292608385656_dp, &
577.26440202061325458757740206936_dp, 578.83088807988069575617598081289_dp, &
577.26786663404239020871801572242_dp, 578.83779857488247965333474410491_dp, &
580.40601225530800713191902746592_dp, 581.97252153536033741924498884399_dp, &
580.40945811558300684292816220180_dp, 581.97939472563177192666226917909_dp, &
583.54762230070135723747879494646_dp, 585.11415455268110709303051582553_dp, &
583.55104960974319248937110251939_dp, 585.12099083882769428215269157557_dp, &
586.68923215983435140907903922404_dp, 588.25578713886328323877315213745_dp, &
586.69264111632022468164885924335_dp, 588.26258691507190240854212142507_dp, &
589.83084183568324529015151090910_dp, 591.39741930077796512968309348244_dp, &
589.83423263511569990014348104066_dp, 591.40418295495326782148876714716_dp, &
592.97245133116122002703594761214_dp, 594.53905104515101448908705503353_dp, &
592.97582416593541916410861541134_dp, 594.54577895904821562207588261377_dp, &
596.11406064912004435905648494630_dp, 597.68068237856687280796007768572_dp, &
596.11741570858927724135568942286_dp, 597.68737492792105160328582301949_dp, &
599.25566979235168442616676626069_dp, 600.82231330747225889261225256994_dp, &
599.25900726289115534278087885822_dp, 600.82897086212427909432284117923_dp, &
602.39727876358986320285156913324_dp, 603.96394383817975100390957414879_dp, &
602.40059882865881717451757647370_dp, 603.97056676219890591643850490212_dp, &
605.53888756551157138775020635397_dp, 607.10557397687125776883871547376_dp, &
605.54219040571380822577899659059_dp, 607.11216262867474180844543296837_dp, &
608.68049620073853150292458616842_dp, 610.24720372960138187302331206177_dp, &
608.68378199388135817549022304874_dp, 610.25375846207068666535353545962_dp, &
611.82210467183861688464365148236_dp, 613.38883310230068037853574586897_dp, &
611.82537359299028630561101379444_dp, 613.39535426289500991949139851409_dp, &
614.96371298132722717881760122762_dp, 616.53046210077882535461886741812_dp, &
614.96696520287290981363190358388_dp, 616.53695003164562138004922610462_dp, &
618.10532113166862188862144217887_dp, 619.67209073072766835935457663156_dp, &
618.10855682336495492109781748806_dp, 619.67854576881033383416612648018_dp, &
621.24692912527721345923900638066_dp, 622.81371899772421216752989457500_dp, &
621.25014845430547067918611895253_dp, 622.82014147486711770045260801923_dp, &
624.38853696451882132488537974688_dp, 625.95534690723349300361521432272_dp, &
624.39174009553674537634977748250_dp, 625.96173715028434801415973388679_dp, &
627.53014465171188828618577586881_dp, 629.09697446461137640856166265604_dp, &
627.53333174690422545684061172594_dp, 629.10333279552104401205188622690_dp, &
630.67175218912866053146808838837_dp, 632.23860167510726974474038952138_dp&
/),(/4,Nmax/))
| 31,452 | 76.090686 | 77 | f90 |
artemide-public | artemide-public-master/src/Tables/BesselZero1000.f90 | !!!!This is table of zeros of bessel function J0,..,J3 up to 1000
!!!!
!!!! the table is j0,j1,j2,j3(1-root),j0,j1,j2,j3(2-root)
!!!! udated for v1.41 (12.03.2019) (A.Vladimirov)
real(dp),dimension(0:3,1:Nmax),parameter::JZero=reshape((/&
2.4048255576957727686216318793265_dp, 3.8317059702075123156144358863082_dp, &
5.1356223018406825563014016901378_dp, 6.3801618959239835062366146419427_dp, &
5.5200781102863106495966041128130_dp, 7.0155866698156187535370499814765_dp, &
8.4172441403998648577836136761580_dp, 9.7610231299816696785453885000862_dp, &
8.6537279129110122169541987126609_dp, 10.173468135062722077185711776776_dp, &
11.619841172149059427094144986755_dp, 13.015200721698434419832684382879_dp, &
11.791534439014281613743044911925_dp, 13.323691936314223032393684126948_dp, &
14.795951782351260746661471320228_dp, 16.223466160318768122228024524950_dp, &
14.930917708487785947762593997389_dp, 16.470630050877632812552460470990_dp, &
17.959819494987826455115142077254_dp, 19.409415226435011553575420295721_dp, &
18.071063967910922543147882975618_dp, 19.615858510468242021125065884138_dp, &
21.116997053021845590962817082798_dp, 22.582729593104442027928009075353_dp, &
21.211636629879258959078393350526_dp, 22.760084380592771898053005152182_dp, &
24.270112313573102609583152428183_dp, 25.748166699294977635022331629115_dp, &
24.352471530749302737057944763179_dp, 25.903672087618382625495855445980_dp, &
27.420573549984557330570488191395_dp, 28.908350780921757858342340445134_dp, &
27.493479132040254795877288234607_dp, 29.046828534916855066647819883532_dp, &
30.569204495516397036604063539306_dp, 32.064852407097709482952251363775_dp, &
30.634606468431975117549578926854_dp, 32.189679910974403626622984104460_dp, &
33.716519509222699921959198425218_dp, 35.218670738610114657374842953082_dp, &
33.775820213573568684238546346715_dp, 35.332307550083865102634479022519_dp, &
36.862856511283809817518162941366_dp, 38.370472434756944364117735272543_dp, &
36.917098353664043979769493063273_dp, 38.474766234771615112052197557717_dp, &
40.008446733478192227261895006566_dp, 41.520719670406775549033549967527_dp, &
40.058425764628239294799307373994_dp, 41.617094212814450885863516805060_dp, &
43.153453778371463269900135114779_dp, 44.669743116617253070620026027512_dp, &
43.199791713176730357524072728743_dp, 44.759318997652821732779352713212_dp, &
46.297996677236919185152545485014_dp, 47.817785691533301888365414155942_dp, &
46.341188371661814018685788879113_dp, 47.901460887185447121274008722508_dp, &
49.442164110416872731070543201950_dp, 50.965029906205183304270065697431_dp, &
49.482609897397817173602761533178_dp, 51.043535183571509468733034633224_dp, &
52.586023506815963631762235503007_dp, 54.111615569821873930296229138608_dp, &
52.624051841114996029251285380392_dp, 54.185553641061320532099966214534_dp, &
55.729627053201144085573014119284_dp, 57.257651604499014080869205598496_dp, &
55.765510755019979311683492773462_dp, 57.327525437901010745090504243751_dp, &
58.873015772612164650109120458626_dp, 60.403224138472121535278996039731_dp, &
58.906983926080942132834406634616_dp, 60.469457845347491559398749808383_dp, &
62.016222359217653701902244080246_dp, 63.548402178567206488006135509057_dp, &
62.048469190227169882852500264651_dp, 63.611356698481232631039762417874_dp, &
65.159273190757797829068965281770_dp, 66.693241667372679460213432049015_dp, &
65.189964800206860440636033742512_dp, 66.753226734098493415305259750042_dp, &
68.302189784183460399289978944662_dp, 69.837788437904339776270219439729_dp, &
68.331469329856798270992303839984_dp, 69.895071837495773969730536435500_dp, &
71.444989866357852114065026538824_dp, 72.982080400432005140350940880054_dp, &
71.472981603593732825063073856130_dp, 73.036895225573834826506117569092_dp, &
74.587688173602402406057514474156_dp, 76.126149184774095573068427472748_dp, &
74.614500643701837883820540469336_dp, 76.178699584641457572852614623535_dp, &
77.730297056978903231600858137201_dp, 79.270021390055860364887771141645_dp, &
77.756025630388055037739371891234_dp, 79.320487175476299391184484872488_dp, &
80.872826946244764614635062206873_dp, 82.413719547267878630106355566440_dp, &
80.897555871137627863772143490873_dp, 82.462259914373556453986610648781_dp, &
84.015286709546167263026969007688_dp, 85.557262868829996929821182055237_dp, &
84.039090776938190157879638347998_dp, 85.604019436350230965949425493380_dp, &
87.157683935203351467159591745092_dp, 88.700667838222059270991158022861_dp, &
87.180629843641153651261805069049_dp, 88.745767144926306903735916434854_dp, &
90.300025154592920389847956637937_dp, 91.843948678147085097922584903141_dp, &
90.322172637210480055717766777628_dp, 91.887504251694985280553622214490_dp, &
93.442316020011125815745154163878_dp, 94.987117725465609446165244167644_dp, &
93.463718781944774171190591543981_dp, 95.029231808044695268050998187174_dp, &
96.584561447783203643969032670587_dp, 98.130185733874888293649043241741_dp, &
96.605267950996268778121617323928_dp, 98.170950730790781973537759160851_dp, &
99.726765734292801706949183732458_dp, 101.27316212007975484359733766047_dp, &
99.746819858680596470279979000135_dp, 101.31266182303873013714105638865_dp, &
102.86893265072788228312581201716_dp, 104.41605516539675324251803335537_dp, &
102.88837425419479459642003427256_dp, 104.45436579128276007136342813961_dp, &
106.01106552096340500241740284879_dp, 107.55887218193252115317370474093_dp, &
106.02993091645161551017691719188_dp, 107.59606325950917218267036427761_dp, &
109.15316728598199715341434725018_dp, 110.70161965039489504918138861441_dp, &
109.17148964980538355206597701275_dp, 110.73775478089921510860865288827_dp, &
112.29524055747167142084675582857_dp, 113.84430333503185636635239771113_dp, &
112.31305028049490962749450612218_dp, 113.87944084759499813488417492843_dp, &
115.43728766266442337825491222667_dp, 116.98692838000925682886566203595_dp, &
115.45461265366693962811775669403_dp, 117.02112189889242502757649460146_dp, &
118.57931068204164170314345284022_dp, 120.12949939063372411801804080652_dp, &
118.59617663087253171562938447524_dp, 120.16279832814900375811940782917_dp, &
121.72131148119620217155159586287_dp, 123.27202050213073457899726797977_dp, &
121.73774208795096296523436348334_dp, 123.30447048863571801676003206877_dp, &
124.86329173788123742704895117889_dp, 126.41449543814765238831277161191_dp, &
124.87930891323294604525912836690_dp, 126.44613869851659569779448049584_dp, &
128.00525296507315884050917189087_dp, 129.55692756072957066323761728614_dp, &
128.02087700600832407976355939230_dp, 129.58780324510399675374141784136_dp, &
131.14719653071777382494964322504_dp, 132.69931991318397587079464043915_dp, &
131.16244627521391460789611499153_dp, 132.72946438850961588677459735175_dp, &
134.28912367470306158692192054100_dp, 135.84167525698768375801650091083_dp, &
134.30401663830546609935289683410_dp, 135.87112236478900059180156821946_dp, &
137.43103552350268765265495857649_dp, 138.98399610368046877046922631908_dp, &
137.44558802028427778778266148333_dp, 139.01277738865970417843354613596_dp, &
140.57293310285488161908524452670_dp, 142.12628474252246251335124863269_dp, &
140.58716035285429654848890334006_dp, 142.15442965585902903270090809976_dp, &
143.71481734877749157675431306544_dp, 145.26854326455769404920935138894_dp, &
143.72873357368973253395071800477_dp, 145.29607934519590723242215085501_dp, &
146.85668911716851279429215974319_dp, 148.41077358361715918552628207145_dp, &
146.87030762579664959413270485825_dp, 148.43772662034223039593927702627_dp, &
149.99854919219959026033487531708_dp, 151.55297745470619425910946713021_dp, &
150.01188245695475749088047297407_dp, 151.57937163140142799278350422223_dp, &
153.14039829367591937514162398332_dp, 154.69515649014854564745980747983_dp, &
153.15345801922789248759162561015_dp, 154.72101451628595352476655565184_dp, &
156.28223708350806285468484002218_dp, 157.83731217380013269173444016131_dp, &
156.29503426853352381954949527314_dp, 157.86265540193029780509466960866_dp, &
159.42406617141824818502551091100_dp, 160.97944587359655862041370180815_dp, &
159.43661116426314632349103791000_dp, 161.00429440536199346389341540909_dp, &
162.56588611998475099193119357346_dp, 164.12155885265792716178798609166_dp, &
162.57818866894667751905980896294_dp, 164.14593163464963540213252677998_dp, &
165.70769744911224760350632309686_dp, 167.26365227914088251029066499668_dp, &
165.71976674795502086669042673820_dp, 167.28756718974408380356484785789_dp, &
168.84950064000293223708446704493_dp, 170.40572723499974079179898675768_dp, &
168.86134536923582568745633745233_dp, 170.42920116322663234774549741975_dp, &
171.99129613869225916262814009258_dp, 173.54778472379510842543776999768_dp, &
172.00292450307820021540043150733_dp, 173.57083364097592863036704086285_dp, &
175.13308435920400147926225509553_dp, 176.68982567766867170379650251274_dp, &
175.14450412190274306537279785910_dp, 176.71246470276375745529773734105_dp, &
178.27486568637160433594225530690_dp, 179.83185096358623431932355491251_dp, &
178.28608420007377068148397419125_dp, 179.85409442278838484508490290633_dp, &
181.41664047836629944316922231606_dp, 182.97386138893704178200809052576_dp, &
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1507.1778315128456421274072807441_dp, 1508.7469721289369502186663844509_dp, &
1507.1791584960752929993055637676_dp, 1508.7496233363596466972733653154_dp, &
1510.3194267541602408568034022214_dp, 1511.8885708080212994185293997421_dp, &
1510.3207509771506297117756360782_dp, 1511.8912165064172320397531647455_dp, &
1513.4610219847317963618028043066_dp, 1515.0301694621164069758463736180_dp, &
1513.4623434589421649101802251193_dp, 1515.0328096743329086219313426154_dp, &
1516.6026172046270703711482728613_dp, 1518.1717680913774065188031487208_dp, &
1516.6039359414454478580364827774_dp, 1518.1744028401199733410283196885_dp, &
1519.7442124139122725765911646918_dp, 1521.3133666959581502285835107315_dp, &
1519.7455284246560646207653068867_dp, 1521.3159960037916132592997868376_dp, &
1522.8858076126530663269544711358_dp, 1524.4549652760112220435146158644_dp, &
1522.8871209085696376860952407994_dp, 1524.4575891653609067357723765070_dp, &
1526.0274028009145742518622681476_dp, 1527.5965638316879507002798249074_dp, &
1526.0287133931818255891551473338_dp, 1527.5991823248408245440144750536_dp, &
1529.1689979787613838161470334332_dp, 1530.7381623631384226145397261860_dp, &
1529.1703058784883225421882275196_dp, 1530.7407754822442309761427998617_dp, &
1532.3105931462575528059297209273_dp, 1533.8797608705114946032637753107_dp, &
1532.3118983644848580688210605298_dp, 1533.8823686375838849332620778936_dp, &
1535.4521883034666147473511981532_dp, 1537.0213593539548064510373306227_dp, &
1535.4534908511671966428224267858_dp, 1537.0239617908724410025319355814_dp, &
1538.5937834504515842589176665109_dp, 1540.1629578136147933225719054696_dp, &
1538.5950833385311373312877418789_dp, 1540.1655549421224505210519424342_dp, &
1541.7353785872749623384069922115_dp, 1543.3045562496366980236101777739_dp, &
1541.7366758265725134421859750544_dp, 1543.3071480913463626267526412480_dp, &
1544.8769737139987415852674704523_dp, 1546.4461546621645831123816800229_dp, &
1544.8782683152871921762069529702_dp, 1546.4487412385565252964773451598_dp, &
1548.0185688306844113594254216732_dp, 1549.5877530513413428637301253816_dp, &
1548.0198608046710742828479576465_dp, 1549.5903343837651863714364848473_dp, &
1551.1601639373929628774031706621_dp, 1552.7293514173087150879989949465_dp, &
1551.1614532947200937206795173499_dp, 1552.7319275269844945702133468070_dp, &
1554.3017590341848942466343813014_dp, 1555.8709497602072928067283043691_dp, &
1554.3030457854302173217312609781_dp, 1555.8735206682265004894971547415_dp, &
1557.4433541211202154388494064346_dp, 1559.0125480801765357871823726016_dp, &
1557.4446382767974444599396606905_dp, 1559.0151138075031575927166095858_dp, &
1560.5849491982584532033892583360_dp, 1562.1541463773547819376959190755_dp, &
1560.5862307688178067236004244203_dp, 1562.1567069448263231867442185317_dp, &
1563.7265442656586559212930053992_dp, 1565.2957446518792585657939061723_dp, &
1563.7278232614873675917692198580_dp, 1565.2983000802077593868390085553_dp, &
1566.8681393233793984009898498041_dp, 1568.4373429038860935010092096454_dp, &
1566.8694157548022221145553148436_dp, 1568.4398932136591340699925343962_dp, &
1570.0097343714787866164138341125_dp, 1571.5789411335103260842914291956_dp, &
1570.0110082487584965972536061896_dp, 1571.5814863451920218168404536949_dp, &
1573.1513294100144623883460570954_dp, 1574.7205393408859180258699334390_dp, &
1573.1526007433523482882613800950_dp, 1574.7230794748179048422993521101_dp, &
1576.2929244390436080097764458459_dp, 1577.8621375261457641334045570445_dp, &
1576.2941932385799650707270028229_dp, 1577.8646726025481739150859577577_dp, &
1579.4345194586229508160645277230_dp, 1581.0037356894217029122282220907_dp, &
1579.4357857344375651578785805149_dp, 1581.0062657283941292662733863185_dp, &
1582.5761144688087677006662673318_dp, 1584.1453338308445270394571301735_dp, &
1582.5773782309213967919814521986_dp, 1584.1478588523669814870366047597_dp, &
1585.7177094696568895771818761308_dp, 1587.2869319505439937137160561958_dp, &
1585.7189707280277379468741905224_dp, 1587.2894519744778524157368919059_dp, &
1588.8593044612227057884675609809_dp, 1590.4285300486488348821986590122_dp, &
1588.8605632257528960340335808005_dp, 1590.4310450947377760144927072329_dp, &
1592.0008994435611684635424487666_dp, 1593.5701281252867673467555983258_dp, &
1592.0021557240932076121198308637_dp, 1593.5726382131576992353820543853_dp, &
1595.1424944167267968230104029327_dp, 1596.7117261805845027506766018148_dp, &
1595.1437482230450380999540322673_dp, 1596.7142313297484828764191422170_dp, &
1598.2840893807736814337051303139_dp, 1599.8533242146677574478064519516_dp, &
1598.2853407226047814928806478705_dp, 1599.8558244445209024274459028110_dp, &
1601.4256843357554884132558589869_dp, 1602.9949222276612622556091491563_dp, &
1601.4269332227688600824685419506_dp, 1602.9974175574856489060767221620_dp, &
1604.5672792817254635852599461344_dp, 1606.1365202196887720937692477525_dp, &
1604.5685257235337241795047970981_dp, 1606.1390106686533296838325742267_dp, &
1607.7088742187364365857380452478_dp, 1609.2781181908730755098945448430_dp, &
1607.7101182248958518402362774234_dp, 1609.2806037780344693025986221041_dp, &
1610.8504691468408249215369206673_dp, 1612.4197161413360040938599210382_dp, &
1610.8517107268517485958146003287_dp, 1612.4221968856395102815372604685_dp, &
1613.9920640660906379813346407949_dp, 1615.5613140711984417823081774976_dp, &
1613.9933032293979471849008695176_dp, 1615.5637899914788139145865202987_dp, &
1617.1336589765374809998927057332_dp, 1618.7029119805803340548001776948_dp, &
1617.1348957325310072893872002570_dp, 1618.7053830955626610586717397418_dp, &
1620.2752538782325589761896670890_dp, 1621.8445098696006970230834765893_dp, &
1620.2764882362475152731927344152_dp, 1621.8469761979012529127564229010_dp, &
1623.4168487712266805460609737954_dp, 1624.9861077383776264149258965491_dp, &
1623.4180807405440839240924976973_dp, 1624.9885692985047117878562607811_dp, &
1626.5584436555702618099601246960_dp, 1628.1277055870283064539381806521_dp, &
1626.5596732454173521985380950162_dp, 1628.1301623973830818681383748903_dp, &
1629.7000385313133301164467229940_dp, 1631.2693034156690186367879123018_dp, &
1629.7012657508639849694298722844_dp, 1631.2717554945463299632259634286_dp, &
1632.8416333985055278019977062887_dp, 1634.4109012244151504091853279835_dp, &
1632.8428582568806727768007943170_dp, 1634.4133485900043462518266819628_dp, &
1635.9832282571961158877288656380_dp, 1637.5524990133812037420004601837_dp, &
1635.9844507634641315813728991935_dp, 1637.5549416837669450168012743620_dp, &
1639.1248231074339777336047648171_dp, 1640.6940967826808036088502228577_dp, &
1639.1260432706111025209477895556_dp, 1640.6965347758438653717871849388_dp, &
1642.2664179492676226507063236619_dp, 1643.8356945324267063664735853939_dp, &
1642.2676357783183516695932111132_dp, 1643.8381278662447719794901286177_dp, &
1645.4080127827451894721166341387_dp, 1646.9772922627308080391928659438_dp, &
1645.4092282865826697995883482910_dp, 1646.9797209549792557617548719336_dp, &
1648.5496076079144500829770316628_dp, 1650.1188899737041525087394045790_dp, &
1648.5508207954008721460910366661_dp, 1650.1213140420568346015247831928_dp, &
1651.6912024248228129102570443714_dp, 1653.2604876654569396107024444537_dp, &
1651.6924133047697981744906518160_dp, 1653.2629071274869540367980446330_dp, &
1654.8327972335173263727735867567_dp, 1656.4020853380985331388409485718_dp, &
1654.8340058146863113504109845902_dp, 1656.4045002112789879466867823545_dp, &
1657.9743920340446822919866485624_dp, 1659.5436829917374687584793046155_dp, &
1657.9755983251472989123279538354_dp, 1659.5460932934422392296837606205_dp, &
1661.1159868264512192640907524879_dp, 1662.6852806264814618301894144226_dp, &
1661.1171908361496716467675394056_dp, 1662.6876863739859404742397053152_dp, &
1664.2575816107829259939136124079_dp, 1665.8268782424374151449435220936_dp, &
1664.2587833476903636660498410578_dp, 1665.8292794529192546217527663878_dp, &
1667.3991763870854445911257149573_dp, 1668.9684758397114265719042994664_dp, &
1667.4003758597663321885456827373_dp, 1668.9708725302512756220701004918_dp, &
1670.5407711554040738292569689531_dp, 1672.1100734184087966200011740356_dp, &
1670.5419683723745573214126869650_dp, 1672.1124656059910290816000522585_dp, &
1673.6823659157837723680091167616_dp, 1675.2516709786340359144246466702_dp, &
1673.6835608855120418457782407079_dp, 1675.2540586801474729041319352360_dp, &
1676.8239606682691619393452769969_dp, 1678.3932685204908725891533991492_dp, &
1676.8251533991758110043372624127_dp, 1678.3956517527294979244589610085_dp, &
1679.9655554129045304978307864802_dp, 1681.5348660440822595966123291665_dp, &
1679.9667459133629122913331599599_dp, 1681.5372448237459285348984369126_dp, &
1683.1071501497338353356924289204_dp, 1684.6764635495103819355432677437_dp, &
1683.1083384280704152448908413103_dp, 1684.6788378932055233048019486421_dp, &
1686.2487448788007061630561760195_dp, 1687.8180610368766637981540257227_dp, &
1686.2499309432954112416711037158_dp, 1687.8204309611169755931468634273_dp, &
1689.3903396001484481538167214780_dp, 1690.9596585062817756375955770902_dp, &
1689.3915234590350132938161836955_dp, 1690.9620240274889141542991319525_dp, &
1692.5319343138200449575853574864_dp, 1694.1012559578256411568016123228_dp, &
1692.5331159752863558481566986904_dp, 1694.1036170923299037370360323160_dp, &
1695.6735290198581616781561246436_dp, 1697.2428533916074442197093798356_dp, &
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1698.8163010093129062350256107730_dp, 1700.3868032174529784820828906669_dp, &
1701.9567184092030401956797495700_dp, 1703.5260482062779401694070111547_dp, &
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1705.0983130925935658172093603835_dp, 1706.6676455873613627233884929437_dp, &
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1711.3815024370178928561772104589_dp, 1712.9508402975060240405662171305_dp, &
1711.3826710833831419354522783935_dp, 1712.9531754496976218224458680380_dp, &
1714.5230970981336247389557772994_dp, 1716.0924376267577342374114800365_dp, &
1714.5242636031381918817039800816_dp, 1716.0947685040565278131416848038_dp, &
1717.6646917519058563395246344837_dp, 1719.2340349389215182332600476272_dp, &
1717.6658561233828061818376204234_dp, 1719.2363615569507683409482643624_dp, &
1720.8062863983748077422348534090_dp, 1722.3756322340908809943249697836_dp, &
1720.8074486441143035181410344846_dp, 1722.3779546083883579904846050096_dp, &
1723.9478810375804058545886354377_dp, 1725.5172295123586465168287556230_dp, &
1723.9490411653300221177934517480_dp, 1725.5195476583772529788956968218_dp, &
1727.0894756695622870737045105341_dp, 1728.6588267738169640148844690991_dp, &
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1730.2310702943597999237333217995_dp, 1731.8004240185573140410250101107_dp, &
1730.2322262092035726756873597517_dp, 1731.8027337540404951800128240869_dp, &
1733.3726649120120076645935422020_dp, 1734.9420212466705145402343040874_dp, &
1733.3738187318561772225499736752_dp, 1734.9443267997304677341984727515_dp, &
1736.5142595225576908723891357633_dp, 1738.0836184582467268383217780015_dp, &
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1742.7985963026463392322645485543_dp, 1744.3691059283263613343886130531_dp, &
1745.9390433119392122099368523436_dp, 1747.5084099946453224435511550827_dp, &
1745.9401888271786819602605646034_dp, 1747.5106989683923748458443532617_dp, &
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1755.3638270387315064896071741994_dp, 1756.9332013853950280204768372936_dp, &
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1764.7886107039373405547812185986_dp, 1766.3579926328272758688363677136_dp, &
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1805.6293392316897163547563926691_dp, 1807.1987531036210996244729220527_dp, &
1805.6304468786203819045636365731_dp, 1807.2009664743472746312177488976_dp, &
1808.7709336888750217095147983869_dp, 1810.3403499583054096873319917951_dp, &
1808.7720394119707320464731948203_dp, 1810.3425594880293426890315959769_dp, &
1811.9125281398059766589428975986_dp, 1813.4819467984341123289069858041_dp, &
1811.9136319457380370978351083305_dp, 1813.4841525004637979127044003593_dp, &
1815.0541225845150573428246271007_dp, 1816.6235436240827234447210357580_dp, &
1815.0552244799201319980783096258_dp, 1816.6257455116571130012731731099_dp, &
1818.1957170230345154432474339166_dp, 1819.7651404353262374530607844791_dp, &
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1821.3373114553963801204227544180_dp, 1822.9067372322391317885704443995_dp, &
1821.3384095495201057923060485988_dp, 1822.9089315303459904689131784855_dp, &
1824.4789058816324599285065549080_dp, 1826.0483340148953713494599183031_dp, &
1824.4800020849337288687051697960_dp, 1826.0505245378542762972104057483_dp, &
1827.6205003017743447116605871050_dp, 1829.1899307833684128988846554369_dp, &
1827.6215946207536299046930595393_dp, 1829.1921175441468696472835432235_dp, &
1830.7620947158534074805917082602_dp, 1832.3315275377312094210472668143_dp, &
1830.7631871569777173808584439238_dp, 1832.3337105492300235447003728235_dp, &
1833.9036891239008062698033628663_dp, 1835.4731242780562144325633920865_dp, &
1833.9047796936039141093867682203_dp, 1835.4753035531099482044168782378_dp, &
1837.0452835259474859757901202068_dp, 1838.6147210044153862496268947386_dp, &
1837.0463722306301571115156890311_dp, 1838.6168965557928113965235672653_dp, &
1840.1868779220241801764030084966_dp, 1841.7563177168801922115021605910_dp, &
1840.1879647680543974962458222034_dp, 1841.7584895572847388082485486885_dp, &
1843.3284723121614129316102812328_dp, 1844.8979144155216128608640847131_dp, &
1843.3295573058746003402917711689_dp, 1844.9000825575918144022619830425_dp, &
1846.4700666963895005658751937987_dp, 1848.0395111004101460814992519924_dp, &
1846.4711498440887445692586642055_dp, 1848.0416755567200807713259198214_dp, &
1849.6116610747385534323693575187_dp, 1851.1811077716158111938748448690_dp, &
1849.6127423826948228400296298394_dp, 1851.1832685546755394893329361269_dp, &
1852.7532554472384776592372734740_dp, 1854.3227044292081530090749463243_dp, &
1852.7543349216908414243498372551_dp, 1854.3248615514641514587764033354_dp, &
1855.8948498139189768781247286624_dp, 1857.4643010732562458415971452888_dp, &
1855.8959274610748200935929232235_dp, 1857.4664545470918372546946288862_dp, &
1859.0364441748095539351808617715_dp, 1860.6058977038286974814956934630_dp, &
1859.0375200008447920046958187431_dp, 1860.6080475415644774651305496294_dp, &
1862.1780385299395125847408741767_dp, 1863.7474943209936531263509053767_dp, &
1862.1791125409988035872481773556_dp, 1863.7496405348879130281480911642_dp, &
1865.3196328793379591658935730371_dp, 1866.8890909248187992735380356561_dp, &
1865.3207050815349144317227930125_dp, 1866.8912335270679455654457541004_dp, &
1868.4612272230338042621351868293_dp, 1870.0306875153713675732625072571_dp, &
1868.4622976224511971788335784628_dp, 1870.0328265181103377126074430480_dp, &
1871.6028215610557643443081886121_dp, 1873.1722840927181386428221002131_dp, &
1871.6038901637457374100078554635_dp, 1873.1744195080208134460300172409_dp, &
1874.7444158934323633970211980725_dp, 1876.3138806569254458425505406338_dp, &
1874.7454827054166335389598857264_dp, 1876.3160124968050584065665128921_dp, &
1877.8860102201919345287434092660_dp, 1879.4554772080591790138908526986_dp, &
1877.8870752474619967043527464501_dp, 1879.4576054844687202199234665220_dp, &
1881.0276045413626215657644062812_dp, 1882.5970737461847881800408506681_dp, &
1881.0286677898799506635358265952_dp, 1882.5991984710174088138502554727_dp, &
1884.1691988569723806302076831533_dp, 1885.7386702713672872096072519599_dp, &
1884.1702603326686316873453897811_dp, 1885.7407914564566967321578664810_dp, &
1887.3107931670489817022836765923_dp, 1888.8802667836712574436990846247_dp, &
1887.3118528758261884559558168625_dp, 1888.8823844407921194456040054086_dp, &
1890.4523874716200101669656498384_dp, 1892.0218632831608512868853416281_dp, &
1890.4534454193507819557693059216_dp, 1892.0239774240291756596809708919_dp, &
1893.5939817707128683452693325896_dp, 1895.1634597698997957624361987768_dp, &
1893.5950379632405853773319696328_dp, 1895.1655704061733276193422316542_dp, &
1896.7355760643547770103148248492_dp, 1898.3050562439513960322615614928_dp, &
1896.7366305074937840142644297574_dp, 1898.3071633872300014107031713962_dp, &
1899.8771703525727768883469111246_dp, 1901.4466527053785388819552365617_dp, &
1899.8782230521085751631951659495_dp, 1901.4487563672045872597509964300_dp, &
1903.0187646353937301448876050717_dp, 1904.5882491542436961713476370942_dp, &
1903.0198155970831680246850311388_dp, 1904.5903493461024398280983394319_dp, &
1906.1603589128443218561924528508_dp, 1907.7298455906089282509646209073_dp, &
1906.1614081424157836051314985400_dp, 1907.7319423239288785058146377381_dp, &
1909.3019531849510614661798655725_dp, 1910.8714420145358873447848330392_dp, &
1909.3030006881046546196413558598_dp, 1910.8735353006891877013689163955_dp, &
1912.4435474517402842290005267049_dp, 1914.0130384260858208996827708762_dp, &
1912.4445932341480253958607105691_dp, 1914.0151282763886171287171645816_dp, &
1915.5851417132381526374117286391_dp, 1917.1546348253195749019397141131_dp, &
1915.5861857805441517787513162144_dp, 1917.1567212510323820915670589280_dp, &
1918.7267359694706578371193332353_dp, 1920.2962312122975971611996602643_dp, &
1918.7277783272913010363023736988_dp, 1920.2983142246256637648523586032_dp, &
1921.8683302204636210272479235640_dp, 1923.4378275870799405622424784534_dp, &
1921.8693708743877517661671032955_dp, 1923.4399071971736094734488746390_dp, &
1925.0099244662426948470976176980_dp, 1926.5794239497262662849416385460_dp, &
1925.0109634218317938032135229152_dp, 1926.5815001686813329681634998066_dp, &
1928.1515187068333647493439497961_dp, 1929.7210203002958469927690881759_dp, &
1928.1525559696217281279790058469_dp, 1929.7230931391539146990273752706_dp, &
1931.2931129422609503598351883434_dp, 1932.8626166388475699902051356861_dp, &
1931.2941485177558667760183268842_dp, 1932.8646861085964020859238661718_dp, &
1934.4347071725506068241394557870_dp, 1936.0042129654399403494065513322_dp, &
1934.4357410662325327481350394508_dp, 1936.0062790770138097865816201098_dp, &
1937.5763013977273261409920374485_dp, 1939.1458092801310840064815211638_dp, &
1937.5773336150500599214861580937_dp, 1939.1478720444111199619625901240_dp, &
1940.7178956178159384827913200301_dp, 1942.2874055829787508277155767056_dp, &
1940.7189261642067929615502505457_dp, 1942.2894650107932825390745171136_dp, &
1943.8594898328411135032898807946_dp, 1945.4290018740403176460881778341_dp, &
1943.8605187137010872349491715063_dp, 1945.4310579761652154712369855938_dp, &
1947.0010840428273616326253571346_dp, 1948.5705981533727912684152450341_dp, &
1947.0021112635313087231137963734_dp, 1948.5726509405318049958297911750_dp, &
1950.1426782477990353598338623053_dp, 1951.7121944210328114534486194688_dp, &
1950.1437038136958339367842374236_dp, 1951.7142439038979058895519880802_dp, &
1953.2842724477803305029868761311_dp, 1954.8537906770766538612591740088_dp, &
1953.2852963641930498313351473925_dp, 1954.8558368662683417212196202962_dp, &
1956.4258666427952874670907290850_dp, 1957.9953869215602329742261045185_dp, &
1956.4268889150213537229168361045_dp, 1957.9974298276479051021297805014_dp, &
1959.5674608328677924898860138477_dp, 1961.1369831545391049899507973178_dp, &
1959.5684814661791532054030447448_dp, 1961.1390227880413579340182866442_dp, &
1962.7090550180215788756824998666_dp, 1964.2785793760684706864095948576_dp, &
1962.7100740176648660681363396061_dp, 1964.2806157474534316546379168740_dp, &
1965.8506491982802282173633931404_dp, 1967.4201755862031782596557663097_dp, &
1965.8516665694769202144622026917_dp, 1967.4222087058888274809837993746_dp, &
1968.9922433736671716066910750533_dp, 1970.5617717849977261343770320526_dp, &
1968.9932591216137535810430104445_dp, 1970.5638016633522166501922144359_dp, &
1972.1338375442056908330447701700_dp, 1973.7033679725062657476110900120_dp, &
1972.1348516740738140579432041331_dp, 1973.7053946198482406581387317430_dp, &
1975.2754317099189195707189330982_dp, 1976.8449641487826043059177465843_dp, &
1975.2764442268555594094770660739_dp, 1976.8469875753815114957612762909_dp, &
1978.4170258708298445549095084383_dp, 1979.9865603138802075163024645580_dp, &
1978.4180367799574571958106249382_dp, 1979.9885805299566118831333914639_dp, &
1981.5586200269613067465136050999_dp, 1983.1281564678522022911824041686_dp, &
1981.5596293333779846953093209073_dp, 1983.1301734835780955013126475869_dp, &
1984.7002141783360024858665365005_dp, 1986.2697526107513794276823503352_dp, &
1984.7012218871156288276231674195_dp, 1986.2717664362504872219888285756_dp, &
1987.8418083249764846355386110069_dp, 1989.4113487426301962615442883808_dp, &
1987.8428144411688860775012507259_dp, 1989.4133593879782833349562181266_dp, &
1990.9834024669051637123125120845_dp, 1992.5529448635407792959308113159_dp, &
1990.9844069955362624193275114654_dp, 1992.5549523387659517734340001110_dp, &
1994.1249966041443090084605846263_dp, 1995.6945409735349268053990132537_dp, &
1994.1259995502162732423698539949_dp, 1995.6965452886179323372584854097_dp, &
1997.2665907367160497024398425014_dp, 1998.8361370726641114153180449203_dp, &
1997.2675921052074432767347293077_dp, 1998.8381382375386369139705792773_dp, &
2000.4081848646423759591210321526_dp, 2001.9777331609794826570000777570_dp, &
2000.4091846605083065200194360485_dp, 2001.9797311855324496978216093828_dp, &
2003.5497789879451400196666277518_dp, 2005.1193292385318694988110419962_dp, &
2003.5507772161174061646544814201_dp, 2005.1213241326037274067203448805_dp, &
2006.6913731066460572811711946612_dp, 2008.2609253053717828535241705874_dp, &
2006.6923697720332945259284396921_dp, 2008.2629170787567994971437511529_dp, &
2009.8329672207667073661761394315_dp, 2011.4025213615494180621760941999_dp, &
2009.8339623282545329706878405846_dp, 2011.4045100239959683770337431645_dp, &
2012.9745613303285351821694659718_dp, 2014.5441174071146573546819920082_dp, &
2012.9755548847796918467047130415_dp, 2014.5461029683255096167019226266_dp, &
2016.1161554353528519711797785480_dp, 2017.6857134421170722874631078605_dp, &
2016.1171474416073504127045018335_dp, 2017.6876959117496721577640103178_dp, &
2019.2577495358608363495724125946_dp, 2020.8273094666059261583367910226_dp, &
2019.2587399987360967690471650755_dp, 2020.8292888542726785201254148839_dp, &
2022.3993436318735353381542336615_dp, 2023.9689054806301763989161142988_dp, &
2022.4003325561645277890543501176_dp, 2023.9708817958987250070391131959_dp, &
2025.5409377234118653826923228733_dp, 2027.1105014842384769447630592656_dp, &
2025.5419251138912490509756333970_dp, 2027.1124747366319819082567548050_dp, &
2028.6825318104966133649504637513_dp, 2030.2520974774791805835362379493_dp, &
2028.6835176719148747705868967356_dp, 2030.2540676764765937012936441601_dp, &
2031.8241258931484376043460598680_dp, 2033.3936934604003412813711418673_dp, &
2031.8251102302340277344139982616_dp, 2033.3956606154366792508279989697_dp, &
2034.9657199713878688503288452769_dp, 2036.5352894330497164877279723025_dp, &
2034.9667027888473392335749806284_dp, 2036.5372535535163320062546313590_dp, &
2038.1073140452353112655814997233_dp, 2039.6768853954747694189392093345_dp, &
2038.1082953477534489982341425352_dp, 2039.6788464907196201974129502255_dp, &
2041.2489081147110434001410480136_dp, 2042.8184813477226713206862208983_dp, &
2041.2498879069510051326613817247_dp, 2042.8204394270505870285089383881_dp, &
2044.3905021798352191565387073415_dp, 2045.9600772898403037096313963638_dp, &
2044.3914804664386640508902986702_dp, 2045.9620323625132508702505166993_dp, &
2047.5320962406278687460546475783_dp, 2049.1016732218742605944295112112_dp, &
2047.5330730262150904129686300811_dp, 2049.1036252971116054502154691926_dp, &
2050.6736902971088996361829472696_dp, 2052.2432691438708506763392897409_dp, &
2050.6746655862789570617946601745_dp, 2052.2452182308496200414708685272_dp, &
2053.8152843492980974894008620914_dp, 2055.3848650558760995296534308004_dp, &
2053.8162581466289449605333353861_dp, 2055.3868111637312396494627094026_dp, &
2056.9568783972151270933353725606_dp, 2058.5264609579357517621626966717_dp, &
2056.9578507072637431306058848602_dp, 2058.5284040957603851971942292165_dp, &
2060.0984724408795332824188436144_dp, 2061.6680568500952731558670369667_dp, &
2060.0994432681820485902468246675_dp, 2061.6699970269409537087111699662_dp, &
2063.2400664803107418511245100406_dp, 2064.8096527323998527881441270763_dp, &
2063.2410358293825662936222982703_dp, 2064.8115899572768184909120132073_dp, &
2066.3816605155280604588713984095_dp, 2067.9512486048944051335831438582_dp, &
2066.3826283908640090705037793128_dp, 2067.9531828867718293137010007355_dp, &
2069.5232545465506795266872079059_dp, 2071.0928444676235721466890792958_dp, &
2069.5242209526250975664912353589_dp, 2071.0947758154298125885015375009_dp, &
2072.6648485733976731257165990492_dp, 2074.2344403206317253256604052851_dp, &
2072.6658135146645601837799227607_dp, 2074.2363687432545715451473600539_dp, &
2075.8064425960879998576612805005_dp, 2077.3760361639629677574404489875_dp, &
2075.8074060769811330224650534245_dp, 2077.3779616702498864071686435120_dp, &
2078.9480366146405037272372397700_dp, 2080.5176319976611361442404178176_dp, &
2078.9489986395735598223786438651_dp, 2080.5195545964195145654900125885_dp, &
2082.0896306290739150067334334284_dp, 2083.6592278217698028117296256040_dp, &
2082.0905912024405919054529256179_dp, 2083.6611475217671907505572175888_dp, &
2085.2312246394068510927552361927_dp, 2086.8008236363322776990861162859_dp, &
2085.2321837655809881186047638271_dp, 2086.8027404462966272029090344155_dp, &
2088.3728186456578173552349457758_dp, 2089.9424194413916103310985581897_dp, &
2088.3737763289935147771355976560_dp, 2089.9443333700115138422107484942_dp, &
2091.5144126478452079787906514661_dp, 2093.0840152369905917725079900020_dp, &
2091.5153688926769456086414820937_dp, 2093.0859262929155184347653860878_dp, &
2094.6560066459873067965137988234_dp, 2096.2256110231717565647757385370_dp, &
2094.6569614566300616974278757713_dp, 2096.2275192150122867595186626787_dp, &
2097.7976006401022881162648204525_dp, 2099.3672067999773846454615978319_dp, &
2097.7985540208516514294238835558_dp, 2099.3691121363054427725734269113_dp, &
2100.9391946302082175395552533367_dp, 2102.5088025674495032503941585358_dp, &
2100.9401465853405104375907259929_dp, 2102.5107050567985887702291899809_dp, &
2104.0807886163230527730938265004_dp, 2105.6503983256298887988130055399_dp, &
2104.0817391500954415478192701117_dp, 2105.6522979764953055505621442734_dp, &
2107.2223825984646444330730786186_dp, 2108.7919940745600687616603598849_dp, &
2107.2233317151152547253115177140_dp, 2108.7938908953991525735608914786_dp, &
2110.3639765766507368422721534271_dp, 2111.9335898142813235131976277495_dp, &
2110.3649242803987670214410080555_dp, 2111.9354838135136681198329192730_dp, &
2113.5055705508989688200505212169_dp, 2115.0751855448346881661202343373_dp, &
2113.5065168459448025210871517938_dp, 2115.0770767308423694478966869643_dp, &
2116.6471645212268744653064871459_dp, 2118.2167812662609543903420633299_dp, &
2116.6481094117521922904385722472_dp, 2118.2186696473887529500740041706_dp, &
2119.7887584876518839324734713846_dp, 2121.3583769786006722156187928360_dp, &
2119.7897019778197743252605883893_dp, 2121.3602625631562943069972126379_dp, &
2122.9303524501913242006261820640_dp, 2124.4999726818941518181774160485_dp, &
2122.9312945441463934996220316049_dp, 2124.5018554781484486407455096467_dp, &
2126.0719464088624198357679494351_dp, 2127.6415683761814652915172587137_dp, &
2126.0728871107309015150766450695_dp, 2127.6434483923686506666245820843_dp, &
2129.2135403636822937463696484074_dp, 2130.7831640615024484015458556321_dp, &
2129.2144796775721568502943706955_dp, 2130.7850413058203148436035531361_dp, &
2132.3551343146679679322298065550_dp, 2133.9247597378967023262111243641_dp, &
2132.3560722446690247111378839251_dp, 2133.9266342185068355234230786382_dp, &
2135.4967282618363642267246755819_dp, 2137.0663554054035953797893757196_dp, &
2135.4976648120203769811797912581_dp, 2137.0682271304315870983882674022_dp, &
2138.6383222052043050325162359769_dp, 2140.2079510640622647219868271035_dp, &
2138.6392573796250921726559592805_dp, 2140.2098200415979241478599392484_dp, &
2141.7799161447885140507853069918_dp, 2143.3495467139116180520104359914_dp, &
2141.7808499474820553778504971359_dp, 2143.3514129520091815834575760191_dp, &
2144.9215100806056170040561469991_dp, 2146.4911423549903352877620463726_dp, &
2144.9224425155901582209079668517_dp, 2146.4930058616686747929871644717_dp, &
2148.0631040126721423526781525645_dp, 2149.6327379873368702303080405508_dp, &
2148.0640350839482988100684477098_dp, 2149.6345987705796997831069756346_dp, &
2151.2046979410045220050294980577_dp, 2152.7743336109894522137749118956_dp, &
2151.2056276525553816903211319539_dp, 2152.7761916787455333207441729198_dp, &
2154.3462918656190920215068011758_dp, 2155.9159292259860877408194206460_dp, &
2154.3472202214103177964721795532_dp, 2155.9177845861694330732749909910_dp, &
2157.4878857865320933123641532140_dp, 2159.0575248323645621038202643343_dp, &
2157.4888127905120244066226095103_dp, 2159.0593774928546377474810790647_dp, &
2160.6294797037596723294641161522_dp, 2162.1991204301624409919364864968_dp, &
2160.6304053598594250960520543175_dp, 2162.2009703988043672272944559336_dp, &
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2817.2232564765746419457972434513_dp, 2818.7938753978260679257004639031_dp, &
2820.3641399524805896683176435586_dp, 2821.9340507318330898863223170641_dp, &
2820.3648490807409650127962380741_dp, 2821.9354681995211924481824126244_dp, &
2823.5057333457733457899564599916_dp, 2825.0756451094784721635813957744_dp, &
2823.5064416850172707404830378728_dp, 2825.0770610008869195221223513074_dp, &
2826.6473267374218597730278331532_dp, 2828.2172394832936771134630461928_dp, &
2826.6480342894031924182433551134_dp, 2828.2186538019243468340681156235_dp, &
2829.7889201274316078657478361647_dp, 2831.3588338532914543153554669678_dp, &
2829.7896268938983649639301397191_dp, 2831.3602466026345671987272973554_dp, &
2832.9305135158080420246597447335_dp, 2834.5004282194844968249959809882_dp, &
2832.9312194985024249148341007600_dp, 2834.5018394030186685859655265579_dp, &
2836.0721069025565900491768422543_dp, 2837.6420225818854414873625124512_dp, &
2836.0728121032150104187142410607_dp, 2837.6434322030777341476254127998_dp, &
2839.2137002876826557152319933560_dp, 2840.7836169405068692474889164213_dp, &
2839.2144047080357612248879400902_dp, 2840.7850250028128422441675338070_dp, &
2842.3552936711916189080408967877_dp, 2843.9252112953613054592202151191_dp, &
2842.3559973129643186753801244169_dp, 2843.9266178022250664711348475530_dp, &
2845.4968870530888357539858674983_dp, 2847.0668056464612201919236534558_dp, &
2845.4975899180003256961310690726_dp, 2847.0682106013154756854418917005_dp, &
2848.6384804333796387516269373282_dp, 2850.2083999938190285351713460161_dp, &
2848.6391825231434267882623772058_dp, 2850.2098034000851340314901222670_dp, &
2851.7800738120693369018470038971_dp, 2853.3499943374470909014101487678_dp, &
2851.7807751283932680194006893871_dp, 2853.3513961985351009671107314837_dp, &
2854.9216671891632158371376980305_dp, 2856.4915886773577133266342512251_dp, &
2854.9223677337494970150586778842_dp, 2856.4929889966664312893362730237_dp, &
2858.0632605646665379500325814081_dp, 2859.6331830135631477690758486043_dp, &
2858.0639603392117629500728851300_dp, 2859.6345817944801751600024111057_dp, &
2861.2048539385845425206942280424_dp, 2862.7747773460755924059291186674_dp, &
2861.2055529447797165400979694831_dp, 2862.7761745919773781311810984180_dp, &
2864.3464473109224458436616856923_dp, 2865.9163716749071919281225944320_dp, &
2864.3471455504530100331569252102_dp, 2865.9177673891590811704464763683_dp, &
2867.4880406816854413537647563787_dp, 2869.0579660000700378331548917316_dp, &
2867.4887381562312972012468474176_dp, 2869.0593601860263206859747798297_dp, &
2870.6296340508786997512114787937_dp, 2872.1995603215761687160086197087_dp, &
2870.6303307621142333319998164165_dp, 2872.2009529825801285514795173357_dp, &
2873.7712274185073691258551395737_dp, 2875.3411546394375705581571727193_dp, &
2873.7719233681014752203984797283_dp, 2875.3425457788215321309831865688_dp, &
2876.9128207845765750806470851349_dp, 2878.4827489536661770146789737846_dp, &
2876.9135159741926811605459136213_dp, 2878.4841385747515543034267739845_dp, &
2880.0544141490914208542815510391_dp, 2881.6243432642738696994936126539_dp, &
2880.0551085803875109374893497186_dp, 2881.6257313703712134871182765238_dp, &
2883.1960075120569874430386716636_dp, 2884.7659375712724784687341957066_dp, &
2883.1967011866856258190973558287_dp, 2884.7673241656815236640214725799_dp, &
2886.3376008734783337218317792888_dp, 2887.9075318746737817022701003237_dp, &
2886.3382937930866885479900637305_dp, 2887.9089169606834944038861587043_dp, &
2889.4791942333604965644650485776_dp, 2891.0491261744895065833942029780_dp, &
2889.4798863995903633335220401833_dp, 2891.0505097553781308882210579654_dp, &
2892.6207875917084909631074898051_dp, 2894.1907204707313293766885281144_dp, &
2892.6214790061963158438174009435_dp, 2894.1921025497664339341105953978_dp, &
2895.7623809485273101469892420901_dp, 2897.3323147634108757040821439110_dp, &
2895.7630716129042131978567710410_dp, 2897.3336953438494000178767256111_dp, &
2898.9039743038219257003260662874_dp, 2900.4739090525397208191150112035_dp, &
2898.9046642197137239576156980088_dp, 2900.4752881376280212985869873608_dp, &
2902.0455676575972876794778861036_dp, 2903.6155033381293898794213732228_dp, &
2902.0462568266245181202541281657_dp, 2903.6168809311032856414099497111_dp, &
2905.1871610098583247293471754053_dp, 2906.7570976201913582174461563070_dp, &
2905.1878494336362671103565594251_dp, 2906.7584737242761766408192043544_dp, &
2908.3287543606099441990229395842_dp, 2909.8986918987370516094077354112_dp, &
2908.3294420407486437722224874416_dp, 2909.9000665171476736436470486754_dp, &
2911.4703477098570322566759892242_dp, 2913.0402861737778465425203030225_dp, &
2911.4710346479613223622067652174_dp, 2913.0416593097187517719889942771_dp, &
2914.6119410576044540037111551824_dp, 2916.1818804453250704804889659931_dp, &
2914.6126272552739785411094995641_dp, 2916.1832521019903819459602259034_dp, &
2917.7535344038570535881820455340_dp, 2919.3234747133900021272905818155_dp, &
2917.7542198626862893666151110609_dp, 2919.3248448939635309063051260097_dp, &
2920.8951277486196543174738966428_dp, 2922.4650689779838716892532339617_dp, &
2920.8958124701979332857801873610_dp, 2922.4664376856391612368609706419_dp, &
2924.0367210918970587702600228950_dp, 2925.6066632391178611354471350976_dp, &
2924.0374050778085901275697628820_dp, 2925.6080304770182313868768927861_dp, &
2927.1783144336940489077373223741_dp, 2928.7482574968031044563996372331_dp, &
2927.1789976855179410954416610642_dp, 2928.7496232681016956931891999426_dp, &
2930.3199077740153861841462489467_dp, 2931.8898517510506879211469191832_dp, &
2930.3205902933256687599785385033_dp, 2931.8912160588905044022541233663_dp, &
2933.4615011128658116565806148743_dp, 2935.0314460018716503326348140732_dp, &
2933.4621829012314570515672733525_dp, 2935.0328088493856036920390671844_dp, &
2936.6030944502500460940925421603_dp, 2938.1730402492769832814811330168_dp, &
2936.6037755092349912531253434512_dp, 2938.1744016395879356937734164690_dp, &
2939.7446877861727900860978353692_dp, 2941.3146344932776313981117355156_dp, &
2939.7453681173359579928738426666_dp, 2941.3159944294984385135599542897_dp, &
2942.8862811206387241500870036311_dp, 2944.4562287338844926032824925603_dp, &
2942.8869607255340452371567869386_dp, 2944.4575872191180462538479288116_dp, &
2946.0278744536525088386471149418_dp, 2947.5978229711084183569991848551_dp, &
2946.0285533338289422833063644906_dp, 2947.5991800084476890347688026243_dp, &
2949.1694677852187848457996217003_dp, 2950.7394172049602139058472760092_dp, &
2949.1701459422203397525537876124_dp, 2950.7407727974882930153357076988_dp, &
2952.3110611153421731126592526783_dp, 2953.8810114354506385287433989566_dp, &
2952.3117385507079295829854063397_dp, 2953.8823655862407804145076206591_dp, &
2955.4526544440272749324190232869_dp, 2957.0226056625904057811202932435_dp, &
2955.4533311592914050225437472427_dp, 2957.0239583747060695321192644347_dp, &
2958.5942477712786720546663730910_dp, 2960.1641998863901837375568311666_dp, &
2958.5949237679704606220731433957_dp, 2960.1655511628850747696777338130_dp, &
2961.7358410971009267890353970174_dp, 2963.3057941068605952328646720416_dp, &
2961.7365163767447922284096244365_dp, 2963.3071439507787066510268339570_dp, &
2964.8774344214985821082000946013_dp, 2966.4473883240122181016429861131_dp, &
2964.8781089856140969775147384267_dp, 2966.4487367383878718428801125676_dp, &
2968.0190277444761617502135199196_dp, 2969.5889825378555854163125927856_dp, &
2968.0197015945780732876529800088_dp, 2969.5903295257134731752235580751_dp, &
2971.1606210660381703201976735552_dp, 2972.7305767484011857236407619411_dp, &
2971.1612942036364208526125021041_dp, 2972.7319223127564096615889280191_dp, &
2974.3022143861890933913889370283_dp, 2975.8721709556594632797678321057_dp, &
2974.3028868127888406349687911277_dp, 2975.8735150995175765191986636380_dp, &
2977.4438077049333976055438096112_dp, 2979.0137651596408182837467051299_dp, &
2977.4444794220350348593909883950_dp, 2979.0151078859978651889833386188_dp, &
2980.5854010222755307727096673032_dp, 2982.1553593603556071096061838369_dp, &
2980.5860720313747070059905430704_dp, 2982.1567006721981633554725819725_dp, &
2983.7269943382199219703652239902_dp, 2985.2969535578141425369490267696_dp, &
2983.7276646408075618037118846603_dp, 2985.2982934581193549665604070857_dp, &
2986.8685876527709816419353354320_dp, 2988.4385477520266939800955027138_dp, &
2986.8692572503333052237648056769_dp, 2988.4398862437623202531458711594_dp, &
2990.0101809659331016946847477110_dp, 2991.5801419430034877157831370900_dp, &
2990.0108498599516444730982477002_dp, 2991.5814790291279357486499814840_dp, &
2993.1517742777106555969953531426_dp, 2994.7217361307547071094332525708_dp, &
2993.1524424696622879879151866404_dp, 2994.7230718142170743084097573061_dp, &
2996.2933675881079984750314783669_dp, 2997.8633303152904928399948173989_dp, &
2996.2940350794649454272283155567_dp, 2997.8646645990306051289503484251_dp, &
2999.4349608971294672087976914330_dp, 3001.0049244966209431233760268285_dp, &
2999.4356276893593276664562259138_dp, 3001.0062573835693937671361041107_dp, &
3002.5765542047793805275935771275_dp, 3004.1465186747561139344739558974_dp, &
3002.5772202993451467910597906620_dp, 3004.1478501678343021592014784567_dp, &
3005.7181475110620391048698925985_dp, 3007.2881128497060192278125353327_dp, &
3005.7188129094221160902184550077_dp, 3007.2894429518261886396626508805_dp, &
3008.8597408159817256524904784691_dp, 3010.4297070214806311567990168101_dp, &
3008.8604055195899500505461431964_dp, 3010.4310357355459079601107331427_dp, &
3012.0013341195427050144042641318_dp, 3013.5713011900898802916090089969_dp, &
3012.0019981298483643498464920652_dp, 3013.5726285189943113078874269925_dp, &
3015.1429274217492242597316697445_dp, 3016.7128953555436558357100818223_dp, &
3015.1435907401970758509071245339_dp, 3016.7142213021722463246439893477_dp, &
3018.2845207226055127752696716280_dp, 3019.8544895178518058410338532110_dp, &
3018.2851833506358025953326785884_dp, 3019.8558140850805571247843547839_dp, &
3021.4261140221157823574197622677_dp, 3022.9960836770241374218063900935_dp, &
3021.4267759611642637974163096806_dp, 3022.9974068677200843137932580461_dp, &
3024.5677073202842273035430009689_dp, 3026.1376778330704169670466738487_dp, &
3024.5683685717821798380493868107_dp, 3026.1389996500916650064501922925_dp, &
3027.7093006171150245027463163795_dp, 3029.2792719860003703517427994413_dp, &
3027.7099611824892722586691048787_dp, 3029.2805924321961328449300318511_dp, &
3030.8508939126123335261041875895_dp, 3032.4208661358236831467154973775_dp, &
3030.8515537932852637552437381958_dp, 3032.4221852140343180167911413978_dp, &
3033.9924872067802967163197963325_dp, 3035.5624602825500008271784882104_dp, &
3033.9931464041698781722952623213_dp, 3035.5637779956070472728517866614_dp, &
3037.1340804996230392768297089477_dp, 3038.7040544261889289800051006698_dp, &
3037.1347390151428404969590736517_dp, 3038.7053707769151439449556550178_dp, &
3040.2756737911446693603561132084_dp, 3041.8456485667500335097105065710_dp, &
3040.2763316262038768530805384230_dp, 3041.8469635579594279636272876586_dp, &
3043.4172670813492781569106018867_dp, 3044.9872427042428408431588484572_dp, &
3043.4179242373527144953481050046_dp, 3044.9885563387407158756182184012_dp, &
3046.5588603702409399812534619877_dp, 3048.1288368386768381330044594443_dp, &
3046.5595168485890818034627155580_dp, 3048.1301491192598208613446076508_dp, &
3049.7004536578237123598123959662_dp, 3051.2704309700614734598762989656_dp, &
3049.7011094599127082763432553086_dp, 3051.2717418995175527522171535333_dp, &
3052.8420469441016361170645689118_dp, 3054.4120250984061560333146530385_dp, &
3052.8427020713233245263677798345_dp, 3054.4133346795147180478640557796_dp, &
3055.9836402290787354613858436633_dp, 3057.5536192237202563914690732982_dp, &
3055.9842946828206622736502629086_dp, 3057.5549274592521199332478015688_dp, &
3059.1252335127590180703710340883_dp, 3060.6952133460131065995664553482_dp, &
3059.1258872944044543403526095504_dp, 3060.6965202387305582956765362212_dp, &
3062.2668267951464751756289753237_dp, 3063.8368074652940004471580839708_dp, &
3062.2674799060744346450316810333_dp, 3063.8381130179508297417107753737_dp, &
3065.4084200762450816470561786304_dp, 3066.9784015815721936441544003969_dp, &
3065.4090725178303381970210806758_dp, 3066.9797057969137276139662090694_dp, &
3068.5500133560587960765928076556_dp, 3070.1199956948569040156561751657_dp, &
3068.5506651296719010908474512970_dp, 3070.1212985756200420078133420518_dp, &
3071.6916066345915608614646823203_dp, 3073.2615898051573116955906990888_dp, &
3071.6922577415988605006810372586_dp, 3073.2628913540705597879747084642_dp, &
3074.8331999118473022869149862590_dp, 3076.4031839124825593191615344766_dp, &
3074.8338503536109546748202660341_dp, 3076.4044841322660646050203931281_dp, &
3077.9747931878299306084293237199_dp, 3079.5447780168417522141202990663_dp, &
3077.9754429657079229302101062453_dp, 3079.5460769102073369117625855946_dp, &
3081.1163864625433401334577420961_dp, 3082.6863721182439585908688860184_dp, &
3081.1170355778895056469939610917_dp, 3082.6876696878951539795498872470_dp, &
3084.2579797359914093026373067919_dp, 3085.8279662166982097314004549065_dp, &
3084.2586281901554442630988580614_dp, 3085.8292624653302899144620858616_dp, &
3087.3995730081780007705187859282_dp, 3088.9695603122135001770874608080_dp, &
3087.4002208025054812688536977567_dp, 3088.9708552425135156734061062253_dp, &
3090.5411662791069614858009734627_dp, 3092.1111544047987879153249214095_dp, &
3090.5418134149393602016403266009_dp, 3092.1124480194455990801138396460_dp, &
3093.6827595487821227710761506360_dp, 3095.2527484944629945650370554586_dp, &
3093.6834060274568256405772000984_dp, 3095.2540407961273048410425494869_dp, &
3096.8243528172073004020901572465_dp, 3098.3943425812150055610553599182_dp, &
3096.8249986400576232012354052186_dp, 3098.3956335725593945611785442003_dp, &
3099.9659460843862946865205161178_dp, 3101.5359366650636703373761278098_dp, &
3099.9665912527414995303868123466_dp, 3101.5372263487426267597448037324_dp, &
3103.1075393503228905422760262271_dp, 3104.6775307460178025093053439516_dp, &
3103.1081838655082023007841291058_dp, 3104.6788191246777568858132396205_dp, &
3106.2491326150208575753212123345_dp, 3107.8191248240861800544988316124_dp, &
3106.2497764783574802059726301978_dp, 3107.8204119003655373338222635998_dp, &
3109.3907258784839501570289915662_dp, 3110.9607188992775454929054594947_dp, &
3109.3913690912890829551333392316_dp, 3110.9620046758067174590003340877_dp, &
3112.5323191407159075010648902699_dp, 3114.1023129716006060656211554362_dp, &
3112.5329617043027612679574403222_dp, 3114.1035974510020435926961445087_dp, &
3115.6739124017204537398061175745_dp, 3117.2439070410640339126614107611_dp, &
3115.6745543173982668695516990338_dp, 3117.2451902259522590576161120728_dp, &
3118.8155056615012980002987754391_dp, 3120.3855011076764662496598973256_dp, &
3118.8161469305753524853746740137_dp, 3120.3867830006581041829698203125_dp, &
3121.9570989200621344797564585742_dp, 3123.5270951714465055435007579691_dp, &
3121.9577395438337718362035024298_dp, 3123.5283757751203163195240634301_dp, &
3125.0986921774066425206034714543_dp, 3126.6686892323827196868920703122_dp, &
3125.0993321571732796331310440644_dp, 3126.6699685493396298545661352936_dp, &
3128.2402854335384866850658637107_dp, 3129.8102832904936421718879236144_dp, &
3128.2409247705936315725931706456_dp, 3129.8115613233167762267770007627_dp, &
3131.3818786884613168293134595017_dp, 3132.9518773457877722623664887225_dp, &
3131.3825173840945843314259887146_dp, 3132.9531540970524839410149819060_dp, &
3134.5234719421787681771560309947_dp, 3136.0934713982735751654714019971_dp, &
3134.5241099976758955619527860189_dp, 3136.0947468705474785830105866047_dp, &
3137.6650651946944613932967408610_dp, 3139.2350654479594822020237254937_dp, &
3137.6657026113373238871004931075_dp, 3139.2363396438024828339731020113_dp, &
3140.8066584460120026561459536809_dp, 3142.3766594948538909759116875905_dp, &
3140.8072952250786288955454534711_dp, 3142.3779324168182164851095703567_dp, &
3143.9482516961349837301984913722_dp, 3145.5182535389651655424653506930_dp &
/),(/4,Nmax/))
| 156,255 | 76.816733 | 77 | f90 |
artemide-public | artemide-public-master/src/Tables/BesselZero200.f90 | !!!!This is table of zeros of bessel function J0,..,J3 up to 200
!!!!
!!!! the table is j0,j1,j2,j3(1-root),j0,j1,j2,j3(2-root)
!!!! udated for v1.41 (12.03.2019) (A.Vladimirov)
real(dp),dimension(0:3,1:Nmax),parameter::JZero=reshape((/&
2.4048255576957727686216318793265_dp, 3.8317059702075123156144358863082_dp, &
5.1356223018406825563014016901378_dp, 6.3801618959239835062366146419427_dp, &
5.5200781102863106495966041128130_dp, 7.0155866698156187535370499814765_dp, &
8.4172441403998648577836136761580_dp, 9.7610231299816696785453885000862_dp, &
8.6537279129110122169541987126609_dp, 10.173468135062722077185711776776_dp, &
11.619841172149059427094144986755_dp, 13.015200721698434419832684382879_dp, &
11.791534439014281613743044911925_dp, 13.323691936314223032393684126948_dp, &
14.795951782351260746661471320228_dp, 16.223466160318768122228024524950_dp, &
14.930917708487785947762593997389_dp, 16.470630050877632812552460470990_dp, &
17.959819494987826455115142077254_dp, 19.409415226435011553575420295721_dp, &
18.071063967910922543147882975618_dp, 19.615858510468242021125065884138_dp, &
21.116997053021845590962817082798_dp, 22.582729593104442027928009075353_dp, &
21.211636629879258959078393350526_dp, 22.760084380592771898053005152182_dp, &
24.270112313573102609583152428183_dp, 25.748166699294977635022331629115_dp, &
24.352471530749302737057944763179_dp, 25.903672087618382625495855445980_dp, &
27.420573549984557330570488191395_dp, 28.908350780921757858342340445134_dp, &
27.493479132040254795877288234607_dp, 29.046828534916855066647819883532_dp, &
30.569204495516397036604063539306_dp, 32.064852407097709482952251363775_dp, &
30.634606468431975117549578926854_dp, 32.189679910974403626622984104460_dp, &
33.716519509222699921959198425218_dp, 35.218670738610114657374842953082_dp, &
33.775820213573568684238546346715_dp, 35.332307550083865102634479022519_dp, &
36.862856511283809817518162941366_dp, 38.370472434756944364117735272543_dp, &
36.917098353664043979769493063273_dp, 38.474766234771615112052197557717_dp, &
40.008446733478192227261895006566_dp, 41.520719670406775549033549967527_dp, &
40.058425764628239294799307373994_dp, 41.617094212814450885863516805060_dp, &
43.153453778371463269900135114779_dp, 44.669743116617253070620026027512_dp, &
43.199791713176730357524072728743_dp, 44.759318997652821732779352713212_dp, &
46.297996677236919185152545485014_dp, 47.817785691533301888365414155942_dp, &
46.341188371661814018685788879113_dp, 47.901460887185447121274008722508_dp, &
49.442164110416872731070543201950_dp, 50.965029906205183304270065697431_dp, &
49.482609897397817173602761533178_dp, 51.043535183571509468733034633224_dp, &
52.586023506815963631762235503007_dp, 54.111615569821873930296229138608_dp, &
52.624051841114996029251285380392_dp, 54.185553641061320532099966214534_dp, &
55.729627053201144085573014119284_dp, 57.257651604499014080869205598496_dp, &
55.765510755019979311683492773462_dp, 57.327525437901010745090504243751_dp, &
58.873015772612164650109120458626_dp, 60.403224138472121535278996039731_dp, &
58.906983926080942132834406634616_dp, 60.469457845347491559398749808383_dp, &
62.016222359217653701902244080246_dp, 63.548402178567206488006135509057_dp, &
62.048469190227169882852500264651_dp, 63.611356698481232631039762417874_dp, &
65.159273190757797829068965281770_dp, 66.693241667372679460213432049015_dp, &
65.189964800206860440636033742512_dp, 66.753226734098493415305259750042_dp, &
68.302189784183460399289978944662_dp, 69.837788437904339776270219439729_dp, &
68.331469329856798270992303839984_dp, 69.895071837495773969730536435500_dp, &
71.444989866357852114065026538824_dp, 72.982080400432005140350940880054_dp, &
71.472981603593732825063073856130_dp, 73.036895225573834826506117569092_dp, &
74.587688173602402406057514474156_dp, 76.126149184774095573068427472748_dp, &
74.614500643701837883820540469336_dp, 76.178699584641457572852614623535_dp, &
77.730297056978903231600858137201_dp, 79.270021390055860364887771141645_dp, &
77.756025630388055037739371891234_dp, 79.320487175476299391184484872488_dp, &
80.872826946244764614635062206873_dp, 82.413719547267878630106355566440_dp, &
80.897555871137627863772143490873_dp, 82.462259914373556453986610648781_dp, &
84.015286709546167263026969007688_dp, 85.557262868829996929821182055237_dp, &
84.039090776938190157879638347998_dp, 85.604019436350230965949425493380_dp, &
87.157683935203351467159591745092_dp, 88.700667838222059270991158022861_dp, &
87.180629843641153651261805069049_dp, 88.745767144926306903735916434854_dp, &
90.300025154592920389847956637937_dp, 91.843948678147085097922584903141_dp, &
90.322172637210480055717766777628_dp, 91.887504251694985280553622214490_dp, &
93.442316020011125815745154163878_dp, 94.987117725465609446165244167644_dp, &
93.463718781944774171190591543981_dp, 95.029231808044695268050998187174_dp, &
96.584561447783203643969032670587_dp, 98.130185733874888293649043241741_dp, &
96.605267950996268778121617323928_dp, 98.170950730790781973537759160851_dp, &
99.726765734292801706949183732458_dp, 101.27316212007975484359733766047_dp, &
99.746819858680596470279979000135_dp, 101.31266182303873013714105638865_dp, &
102.86893265072788228312581201716_dp, 104.41605516539675324251803335537_dp, &
102.88837425419479459642003427256_dp, 104.45436579128276007136342813961_dp, &
106.01106552096340500241740284879_dp, 107.55887218193252115317370474093_dp, &
106.02993091645161551017691719188_dp, 107.59606325950917218267036427761_dp, &
109.15316728598199715341434725018_dp, 110.70161965039489504918138861441_dp, &
109.17148964980538355206597701275_dp, 110.73775478089921510860865288827_dp, &
112.29524055747167142084675582857_dp, 113.84430333503185636635239771113_dp, &
112.31305028049490962749450612218_dp, 113.87944084759499813488417492843_dp, &
115.43728766266442337825491222667_dp, 116.98692838000925682886566203595_dp, &
115.45461265366693962811775669403_dp, 117.02112189889242502757649460146_dp, &
118.57931068204164170314345284022_dp, 120.12949939063372411801804080652_dp, &
118.59617663087253171562938447524_dp, 120.16279832814900375811940782917_dp, &
121.72131148119620217155159586287_dp, 123.27202050213073457899726797977_dp, &
121.73774208795096296523436348334_dp, 123.30447048863571801676003206877_dp, &
124.86329173788123742704895117889_dp, 126.41449543814765238831277161191_dp, &
124.87930891323294604525912836690_dp, 126.44613869851659569779448049584_dp, &
128.00525296507315884050917189087_dp, 129.55692756072957066323761728614_dp, &
128.02087700600832407976355939230_dp, 129.58780324510399675374141784136_dp, &
131.14719653071777382494964322504_dp, 132.69931991318397587079464043915_dp, &
131.16244627521391460789611499153_dp, 132.72946438850961588677459735175_dp, &
134.28912367470306158692192054100_dp, 135.84167525698768375801650091083_dp, &
134.30401663830546609935289683410_dp, 135.87112236478900059180156821946_dp, &
137.43103552350268765265495857649_dp, 138.98399610368046877046922631908_dp, &
137.44558802028427778778266148333_dp, 139.01277738865970417843354613596_dp, &
140.57293310285488161908524452670_dp, 142.12628474252246251335124863269_dp, &
140.58716035285429654848890334006_dp, 142.15442965585902903270090809976_dp, &
143.71481734877749157675431306544_dp, 145.26854326455769404920935138894_dp, &
143.72873357368973253395071800477_dp, 145.29607934519590723242215085501_dp, &
146.85668911716851279429215974319_dp, 148.41077358361715918552628207145_dp, &
146.87030762579664959413270485825_dp, 148.43772662034223039593927702627_dp, &
149.99854919219959026033487531708_dp, 151.55297745470619425910946713021_dp, &
150.01188245695475749088047297407_dp, 151.57937163140142799278350422223_dp, &
153.14039829367591937514162398332_dp, 154.69515649014854564745980747983_dp, &
153.15345801922789248759162561015_dp, 154.72101451628595352476655565184_dp, &
156.28223708350806285468484002218_dp, 157.83731217380013269173444016131_dp, &
156.29503426853352381954949527314_dp, 157.86265540193029780509466960866_dp, &
159.42406617141824818502551091100_dp, 160.97944587359655862041370180815_dp, &
159.43661116426314632349103791000_dp, 161.00429440536199346389341540909_dp, &
162.56588611998475099193119357346_dp, 164.12155885265792716178798609166_dp, &
162.57818866894667751905980896294_dp, 164.14593163464963540213252677998_dp, &
165.70769744911224760350632309686_dp, 167.26365227914088251029066499668_dp, &
165.71976674795502086669042673820_dp, 167.28756718974408380356484785789_dp, &
168.84950064000293223708446704493_dp, 170.40572723499974079179898675768_dp, &
168.86134536923582568745633745233_dp, 170.42920116322663234774549741975_dp, &
171.99129613869225916262814009258_dp, 173.54778472379510842543776999768_dp, &
172.00292450307820021540043150733_dp, 173.57083364097592863036704086285_dp, &
175.13308435920400147926225509553_dp, 176.68982567766867170379650251274_dp, &
175.14450412190274306537279785910_dp, 176.71246470276375745529773734105_dp, &
178.27486568637160433594225530690_dp, 179.83185096358623431932355491251_dp, &
178.28608420007377068148397419125_dp, 179.85409442278838484508490290633_dp, &
181.41664047836629944316922231606_dp, 182.97386138893704178200809052576_dp, &
181.42766471373105079421219958705_dp, 182.99572287015296608408437309503_dp, &
184.55840906896693470225193679081_dp, 186.11585770656552928487302725475_dp, &
184.56924564063871814111541224792_dp, 186.13735010929550802023984809489_dp, &
187.70017176960179060238592959524_dp, 189.25784061930150760949313492291_dp, &
187.71082696004935978007526572080_dp, 189.27897620037601409322580067878_dp, &
190.84192887118866686315225053587_dp, 192.39981078404616900835795855060_dp, &
190.85240865258152232178079894960_dp, 192.42060119962570542177113155478_dp, &
193.98368064579611618122256984019_dp, 195.54176881546391206282492352567_dp, &
193.99399070010911978994039672749_dp, 195.56222515966258243078293560412_dp, &
197.12542734814578414897129245527_dp, 198.68371528932365343515750007754_dp, &
197.13557308566141473621200268072_dp, 198.70384812977705212611810657899_dp, &
200.26716921697330873188443250775_dp, 201.82565074552785127633895305746_dp, &
200.27715579333241178336208747127_dp, 201.84547015619088230499981743498_dp, &
203.40890647626307544373381162524_dp, 204.96757569086277355982436901628_dp, &
203.41873880819864617124882021532_dp, 204.98709128229234414435873423006_dp, &
206.55063933637026252485108007674_dp, 208.10949060149949118249942978029_dp, &
206.56032211624447365545724492840_dp, 208.12871154885005908148724652235_dp, &
209.69236799504199973243008130056_dp, 211.25139592527156531215171526552_dp, &
209.70190570429407519748244666580_dp, 211.27033099420776661446279140998_dp, &
212.83409263834806770795013143726_dp, 214.39329208375235150073883784403_dp, &
212.84348955994948275074556567747_dp, 214.41194965446196982870027084972_dp, &
215.97581344153035114724030572916_dp, 217.53517947415219253010819975753_dp, &
215.98507367153401315699563788314_dp, 217.55356756362418940178479050986_dp, &
219.11753056977920192962108991282_dp, 220.67705847105346132021825525104_dp, &
219.12665802804056746518913097823_dp, 220.69518475376935974481291028342_dp, &
222.25924417894394581075623230546_dp, 223.81892942799939674987674551727_dp, &
222.26824261908431434128452437947_dp, 223.83680125517172874029155350983_dp, &
225.40095441618395949389559487906_dp, 226.96079267895090843688276538084_dp, &
225.40982743485932989851318199627_dp, 226.97841709642947178848018795482_dp, &
228.54266142056603794772465364330_dp, 230.10264853962397700429726401840_dp, &
228.55141246609881330119784069023_dp, 230.12003230457909864762476955681_dp, &
231.68436532361315119292774653975_dp, 233.24449730871891482942593709843_dp, &
231.69299770403853878097379619250_dp, 233.26164690520061535434630624102_dp, &
234.82606624980914388445040560170_dp, 236.38633926905155372563356498292_dp, &
234.83458314038324101980802326656_dp, 236.40326092251430120867342295121_dp, &
237.96776431706345000072541224276_dp, 239.52817468859536904919545679263_dp, &
237.97616876727566285555756332329_dp, 239.54487437946987058125885716413_dp, &
241.10945963713947035857377502433_dp, 242.67000382144261600854168920639_dp, &
241.11775457726802251499697108991_dp, 242.68648729782870958512982035565_dp, &
244.25115231604988524368994625031_dp, 245.81182690869172771743311116100_dp, &
244.25934056329568255880657617787_dp, 245.82809969823980710755206208514_dp, &
247.39284245442184193652948689308_dp, 248.95364417926749220296021091813_dp, &
247.40092671865282484808794068947_dp, 248.96971160030993716235251663274_dp, &
250.53453014783466193868018651301_dp, 252.09545585067987544224305062167_dp, &
250.54251303696995547044636528300_dp, 252.11132302266859400103494537894_dp, &
253.67621548713245061564203942971_dp, 255.23726212972677943380416775924_dp, &
253.68409951219308100469280850439_dp, 255.25293398302813204908059941444_dp, &
256.81789855871375874445886809100_dp, 258.37906321314550954150070629103_dp, &
256.82568613856441302431773328637_dp, 258.39454449823951876423115058767_dp, &
259.95957944480023759999835817978_dp, 261.52085928821726627105891693651_dp, &
259.96727291060447157306477756920_dp, 261.53615458434406929738025260711_dp, &
263.10125822368604370141033032485_dp, 264.66265053332856663645009330327_dp, &
263.10885982309547069270400257634_dp, 264.67776425662149680975435257908_dp, &
266.24293496996958353340177528394_dp, 267.80443711849313358465678996965_dp, &
266.25044687106588011884095423401_dp, 267.81937352963458097094305971233_dp, &
269.38460975476904015682357830195_dp, 270.94621920583746354719449714936_dp, &
269.39203404977606713817339613835_dp, 270.96098241727072910231536052812_dp, &
272.52628264592299062259364725822_dp, 274.08799695005298768356825189267_dp, &
272.53362135470493145351434896935_dp, 274.10259093278067926475235338893_dp, &
275.66795370817730374678071276906_dp, 277.22977049881747793195092855525_dp, &
275.67520878153745384789779496895_dp, 277.24419908881457199046364002186_dp, &
278.80962300335940055497041545462_dp, 280.37153999318811121615426154559_dp, &
278.81679632615308657846177386448_dp, 280.38580689745559703837918028193_dp, &
281.95129059054086321158311860143_dp, 283.51330556796839111681109960377_dp, &
281.95838398461491985431670967679_dp, 283.52741437025140325871518171186_dp, &
285.09295652618929132895242448108_dp, 286.65506735205093339689430067060_dp, &
285.09997175315956453913058774305_dp, 286.66902151824344316273414799617_dp, &
288.23462086431022615823259687789_dp, 289.79682546873794768600784465162_dp, &
288.24155962818769643811739502072_dp, 289.81062835199440891286756060626_dp, &
291.37628365657989237989547890585_dp, 292.93858003604109035351027729328_dp, &
291.38314760625521224168905006922_dp, 292.95223488161390300372865411839_dp, &
294.51794495246944322395320026470_dp, 296.08033116696222135268663582483_dp, &
294.52473568406495145823317711092_dp, 296.09384111678247474373053592233_dp, &
297.65960479936133674161512741844_dp, 299.22207896975646901834143040219_dp, &
297.66632385845894252404919067485_dp, 299.23544706677414263525740915856_dp, &
300.80126324265841858581554211855_dp, 302.36382354817889005033022619019_dp, &
300.80791212641113477166896885132_dp, 302.37705274047751276923355940137_dp, &
303.94292032588623907510965155034_dp, 305.50556500171590597589821871719_dp, &
303.94950048502058110605777975398_dp, 305.51865814641559429161879469395_dp, &
307.08457609078908911435693374716_dp, 308.64730342580260115335877496016_dp, &
307.09108893150503911477379700033_dp, 308.66026329276440477080676352875_dp, &
310.22623057742020028256958830748_dp, 311.78903891202687987981778232419_dp, &
310.23267746319496095259609304361_dp, 311.80186818737045081251124166656_dp, &
313.36788382422651867843064886724_dp, 314.93077154832140052498881028024_dp, &
313.37426607752784471969024510190_dp, 314.94347283776716245806560024561_dp, &
316.50953586812842958553328723681_dp, 318.07250141914413205502656886887_dp, &
316.51585477204292221847752267426_dp, 318.08507725119035369678887043577_dp, &
319.65118674459478036864693416130_dp, 321.21422860564831214170496507367_dp, &
319.65744354437615994888734721776_dp, 321.22668143459277576398185970052_dp, &
322.79283648771352195915574942034_dp, 324.35595318584252565402859897630_dp, &
322.79903239225555200324754484870_dp, 324.36828539465782473031004693385_dp, &
325.93448513025826458182497801267_dp, 327.49767523474156714770599658189_dp, &
325.94062131349668516737048895576_dp, 327.50988913781246016848946995186_dp, &
329.07613270375102079211694614517_dp, 330.63939482450870050695127519744_dp, &
329.08221030599855803834301990803_dp, 330.65149267023938736694571149975_dp, &
332.21777923852138823260359568620_dp, 333.78111202458988270830513106440_dp, &
332.22379936773963734548991829834_dp, 333.79309599788855160947927876751_dp, &
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/),(/4,Nmax/))
| 31,452 | 76.090686 | 77 | f90 |
artemide-public | artemide-public-master/src/Tables/G7K15.f90 | !!! parameters for Gauss-Kronrod rule G7-K15
real(dp), parameter, dimension(1:7) :: Xi_g7 = &
(/-0.949107912342759_dp,-0.741531185599394_dp,-0.405845151377397_dp,&
0._dp,&
0.405845151377397_dp,0.741531185599394_dp,0.949107912342759_dp/)
real(dp), parameter, dimension(1:15) :: Wi_g7 = &
(/0._dp,0.129484966168870_dp,0._dp,&
0.279705391489277_dp,0._dp,0.381830050505119_dp,&
0._dp,0.417959183673469_dp,0._dp,&
0.381830050505119_dp,0._dp,0.279705391489277_dp,&
0._dp,0.129484966168870_dp,0._dp/)
real(dp), parameter, dimension(1:7) :: Wi_g77 = &
(/0.129484966168870_dp,0.279705391489277_dp,0.381830050505119_dp,&
0.417959183673469_dp,&
0.381830050505119_dp,0.279705391489277_dp,0.129484966168870_dp/)
real(dp), parameter, dimension(1:15) :: Xi_k15 = &
(/-0.991455371120813_dp,-0.949107912342759_dp,-0.864864423359769_dp,&
-0.741531185599394_dp,-0.586087235467691_dp,-0.405845151377397_dp,&
-0.207784955007898_dp,0._dp,0.207784955007898_dp,&
0.405845151377397_dp,0.586087235467691_dp,0.741531185599394_dp,&
0.864864423359769_dp,0.949107912342759_dp,0.991455371120813_dp/)
real(dp), parameter, dimension(1:15) :: Wi_k15 = &
(/0.022935322010529_dp,0.063092092629979_dp,0.104790010322250_dp,&
0.140653259715525_dp,0.169004726639267_dp,0.190350578064785_dp,&
0.204432940075298_dp,0.209482141084728_dp,0.204432940075298_dp,&
0.190350578064785_dp,0.169004726639267_dp,0.140653259715525_dp,&
0.104790010322250_dp,0.063092092629979_dp,0.022935322010529_dp/)
| 1,513 | 46.3125 | 71 | f90 |
null | mtenv-main/.pre-commit-config.yaml | repos:
- repo: https://github.com/psf/black
rev: stable
hooks:
- id: black
language_version: python3.6
- repo: https://gitlab.com/pycqa/flake8
rev: 3.7.9
hooks:
- id: flake8
additional_dependencies: [-e, "git+git://github.com/pycqa/pyflakes.git@1911c20#egg=pyflakes"]
- repo: https://github.com/pre-commit/mirrors-mypy
rev: v0.761
hooks:
- id: mypy
args: [--strict]
exclude: noxfile.py
exclude: setup.py
| 495 | 21.545455 | 101 | yaml |
null | mtenv-main/.readthedocs.yaml | # .readthedocs.yml
# Read the Docs configuration file
# See https://docs.readthedocs.io/en/stable/config-file/v2.html for details
# Required
version: 2
# Build documentation in the docs/ directory with Sphinx
sphinx:
configuration: docs_src/source/conf.py
# Optionally build your docs in additional formats such as PDF
formats:
- pdf
# Optionally set the version of Python and requirements required to build your docs
python:
version: 3.8
install:
- requirements: requirements/docs.txt | 504 | 24.25 | 83 | yaml |
null | mtenv-main/README.md | [](https://circleci.com/gh/facebookresearch/mtenv)
[](https://github.com/psf/black)
[](https://mtenv.zulipchat.com)
# MTEnv
MultiTask Environments for Reinforcement Learning.
## Contents
1. [Introduction](#Introduction)
2. [Installation](#Installation)
3. [Usage](#Usage)
4. [Documentation](#Documentation)
5. [Contributing to MTEnv](#Contributing-to-MTEnv)
6. [Community](#Community)
7. [Acknowledgements](#Acknowledgements)
## Introduction
MTEnv is a library to interface with environments for multi-task reinforcement learning. It has two main components:
* A core API/interface that extends the [gym interface](https://gym.openai.com/) and adds first-class support for multi-task RL.
* A [collection of environments](https://mtenv.readthedocs.io/en/latest/pages/envs/supported.html) that implement the API.
Together, these two components should provide a standard interface for multi-task RL environments and make it easier to reuse components and tools across environments.
You can read more about the difference between `MTEnv` and single-task environments [here.](https://mtenv.readthedocs.io/en/latest/pages/readme.html#multitask-observation)
### List of publications & submissions using MTEnv (please create a pull request to add the missing entries):
* [Learning Adaptive Exploration Strategies in Dynamic Environments Through Informed Policy Regularization](https://arxiv.org/abs/2005.02934)
* [Learning Robust State Abstractions for Hidden-Parameter Block MDPs](https://arxiv.org/abs/2007.07206)
* [Multi-Task Reinforcement Learning with Context-based Representations](https://arxiv.org/abs/2102.06177)
### License
* MTEnv uses [MIT License](https://github.com/facebookresearch/mtenv/blob/main/LICENSE).
* [Terms of Use](https://opensource.facebook.com/legal/terms)
* [Privacy Policy](https://opensource.facebook.com/legal/privacy)
### Citing MTEnv
If you use MTEnv in your research, please use the following BibTeX entry:
```
@Misc{Sodhani2021MTEnv,
author = {Shagun Sodhani and Ludovic Denoyer and Pierre-Alexandre Kamienny and Olivier Delalleau},
title = {MTEnv - Environment interface for mulit-task reinforcement learning},
howpublished = {Github},
year = {2021},
url = {https://github.com/facebookresearch/mtenv}
}
```
## Installation
MTEnv has two components - a core API and environments that implement the API.
The **Core API** can be installed via `pip install mtenv` or `pip install git+https://github.com/facebookresearch/mtenv.git@main#egg=mtenv`
The **list of environments**, that implement the API, is available [here](https://mtenv.readthedocs.io/en/latest/pages/envs/supported.html). Any of these environments can be installed via `pip install git+https://github.com/facebookresearch/mtenv.git@main#egg="mtenv[env_name]"`. For example, the `MetaWorld` environment can be installed via `pip install git+https://github.com/facebookresearch/mtenv.git@main#egg="mtenv[metaworld]"`.
All the environments can be installed at once using `pip install git+https://github.com/facebookresearch/mtenv.git@main#egg="mtenv[all]"`. However, note that some environments may have incompatible dependencies.
MTEnv can also be installed from the source by first cloning the repo (`git clone [email protected]:facebookresearch/mtenv.git`), *cding* into the directory `cd mtenv`, and then using the pip commands as described above. For example, `pip install mtenv` to install the core API, and `pip install "mtenv[env_name]"` to install a particular environment.
## Usage
MTEnv provides an interface very similar to the standard gym environments. One key difference between multi-task environments (that implement the MTEnv interface) and single-task environments is in terms of observation that they return.
### MultiTask Observation
The multi-task environments return a dictionary as the observation. This dictionary has two keys: (i) `env_obs`, which maps to the observation from the environment (i.e., the observation that a single task environments return), and (ii) `task_obs`, which maps to the task-specific information from the environment. In the simplest case, `task_obs` can be an integer denoting the task index. In other cases, `task_obs` can provide richer information.
```
from mtenv import make
env = make("MT-MetaWorld-MT10-v0")
obs = env.reset()
print(obs)
# {'env_obs': array([-0.03265039, 0.51487777, 0.2368754 , -0.06968209, 0.6235982 ,
# 0.01492813, 0. , 0. , 0. , 0.03933976,
# 0.89743189, 0.01492813]), 'task_obs': 1}
action = env.action_space.sample()
print(action)
# array([-0.76422 , -0.15384133, 0.74575615, -0.11724994], dtype=float32)
obs, reward, done, info = env.step(action)
print(obs)
# {'env_obs': array([-0.02583682, 0.54065546, 0.22773503, -0.06968209, 0.6235982 ,
# 0.01494118, 0. , 0. , 0. , 0.03933976,
# 0.89743189, 0.01492813]), 'task_obs': 1}
```
## Documentation
[https://mtenv.readthedocs.io](https://mtenv.readthedocs.io)
## Contributing to MTEnv
There are several ways to contribute to MTEnv.
1. Use MTEnv in your research.
2. Contribute a new environment. We support [many environments](https://mtenv.readthedocs.io/en/latest/pages/envs/supported.html) via MTEnv and are looking forward to adding more environments. Contributors will be added as authors of the library. You can learn more about the workflow of adding an environment [here.](https://mtenv.readthedocs.io/en/latest/pages/envs/create.html)
3. Check out the [good-first-issues](https://github.com/facebookresearch/mtenv/pulls?q=is%3Apr+is%3Aopen+label%3A%22good+first+issue%22) on GitHub and contribute to fixing those issues.
4. Check out additional details [here](https://github.com/facebookresearch/mtenv/blob/main/.github/CONTRIBUTING.md).
## Community
Ask questions in the chat or github issues:
* [Chat](https://mtenv.zulipchat.com)
* [Issues](https://github.com/facebookresearch/mtenv/issues)
## Acknowledgements
* Project file pre-commit, mypy config, towncrier config, circleci etc are based on same files from [Hydra](https://github.com/facebookresearch/hydra). | 6,559 | 49.461538 | 449 | md |
null | mtenv-main/noxfile.py | # Copyright (c) Facebook, Inc. and its affiliates. All Rights Reserved
# type: ignore
import base64
import os
from pathlib import Path
from typing import List, Set
import nox
from nox.sessions import Session
DEFAULT_PYTHON_VERSIONS = ["3.6", "3.7", "3.8", "3.9"]
PYTHON_VERSIONS = os.environ.get(
"NOX_PYTHON_VERSIONS", ",".join(DEFAULT_PYTHON_VERSIONS)
).split(",")
def setup_env(session: Session, name: str) -> None:
env = {}
if name in ["metaworld"]:
key = "CIRCLECI_MJKEY"
if key in os.environ:
# job is running in CI
env[
"LD_LIBRARY_PATH"
] = "$LD_LIBRARY_PATH:/home/circleci/.mujoco/mujoco200/bin"
session.install(f".[{name}]", env=env)
def setup_mtenv(session: Session) -> None:
key = "CIRCLECI_MJKEY"
if key in os.environ:
# job is running in CI
mjkey = base64.b64decode(os.environ[key]).decode("utf-8")
mjkey_path = "/home/circleci/.mujoco/mjkey.txt"
with open(mjkey_path, "w") as f:
# even if the mjkey exists, we can safely overwrite it.
for line in mjkey:
f.write(line)
session.install("--upgrade", "setuptools", "pip")
session.install(".[dev]")
def get_core_paths(root: str) -> List[str]:
"""Return all the files/directories that are part of core package.
In practice, it just excludes the directories in env module"""
paths = []
for _path in Path(root).iterdir():
if _path.stem == "envs":
for _env_path in _path.iterdir():
if _env_path.is_file():
paths.append(str(_env_path))
else:
paths.append(str(_path))
return paths
class EnvSetup:
def __init__(
self, name: str, setup_path: Path, supported_python_versions: Set[str]
) -> None:
self.name = name
self.setup_path = str(setup_path)
self.path = str(setup_path.parent)
self.supported_python_versions = supported_python_versions
def parse_setup_file(session: Session, setup_path: Path) -> EnvSetup:
command = ["python", str(setup_path), "--name", "--classifiers"]
classifiers = session.run(*command, silent=True).splitlines()
name = classifiers[0]
python_version_string = "Programming Language :: Python :: "
supported_python_versions = {
stmt.replace(python_version_string, "")
for stmt in classifiers[1:]
if python_version_string in stmt
}
return EnvSetup(
name=name,
setup_path=setup_path,
supported_python_versions=supported_python_versions,
)
def get_all_envsetups(session: Session) -> List[EnvSetup]:
return [
parse_setup_file(session=session, setup_path=setup_path)
for setup_path in Path("mtenv/envs").glob("**/setup.py")
]
def get_all_env_setup_paths_as_nox_params():
return [
nox.param(setup_path, id=setup_path.parent.stem)
for setup_path in Path("mtenv/envs").glob("**/setup.py")
]
def get_supported_envsetups(session: Session) -> List[EnvSetup]:
"""Get the list of EnvSetups that can run in a given session."""
return [
env_setup
for env_setup in get_all_envsetups(session=session)
if session.python in env_setup.supported_python_versions
]
def get_supported_env_paths(session: Session) -> List[str]:
"""Get the list of env_paths that can run in a given session."""
return [env_setup.path for env_setup in get_supported_envsetups(session=session)]
@nox.session(python=PYTHON_VERSIONS)
def lint(session: Session) -> None:
setup_mtenv(session=session)
for _path in (
get_core_paths(root="mtenv")
+ get_core_paths(root="tests")
+ get_supported_env_paths(session=session)
):
session.run("black", "--check", _path)
session.run("flake8", _path)
@nox.session(python=PYTHON_VERSIONS)
def mypy(session: Session) -> None:
setup_mtenv(session=session)
for _path in get_core_paths(root="mtenv"):
session.run("mypy", "--strict", _path)
for envsetup in get_supported_envsetups(session=session):
setup_env(session=session, name=envsetup.name)
session.run("mypy", envsetup.path)
@nox.session(python=PYTHON_VERSIONS)
def test_wrappers(session) -> None:
setup_mtenv(session=session)
session.run("pytest", "tests/wrappers")
@nox.session(python=PYTHON_VERSIONS)
def test_examples(session) -> None:
setup_mtenv(session=session)
session.run("pytest", "tests/examples")
@nox.session(python=PYTHON_VERSIONS)
@nox.parametrize("env_setup_path", get_all_env_setup_paths_as_nox_params())
def test_envs(session, env_setup_path) -> None:
setup_mtenv(session=session)
envsetup = parse_setup_file(session=session, setup_path=env_setup_path)
if session.python not in envsetup.supported_python_versions:
print(f"Python {session.python} is not supported by {envsetup.name}")
return
setup_env(session=session, name=envsetup.name)
env = {"NOX_MTENV_ENV_PATH": envsetup.path}
command_for_headless_rendering = [
"xvfb-run",
"-a",
"-s",
"-screen 0 1024x768x24 -ac +extension GLX +render -noreset",
]
commands = []
key = "CIRCLECI_MJKEY"
if key in os.environ and envsetup.name in ["metaworld"]:
env["LD_LIBRARY_PATH"] = "$LD_LIBRARY_PATH:/home/circleci/.mujoco/mujoco200/bin"
if envsetup.name.startswith("MT-HiPBMDP"):
env["PYTHONPATH"] = "mtenv/envs/hipbmdp/local_dm_control_suite"
if envsetup.name in ["hipbmdp", "mpte"]:
commands = commands + command_for_headless_rendering
commands = commands + ["pytest", "tests/envs"]
session.run(*commands, env=env)
| 5,746 | 31.653409 | 88 | py |
null | mtenv-main/setup.py | # Copyright (c) Facebook, Inc. and its affiliates. All Rights Reserved
# type: ignore
import codecs
import os.path
import subprocess
from pathlib import Path
import setuptools
def read(rel_path):
here = os.path.abspath(os.path.dirname(__file__))
with codecs.open(os.path.join(here, rel_path), "r") as fp:
return fp.read()
def get_version(rel_path):
for line in read(rel_path).splitlines():
if line.startswith("__version__"):
delim = '"' if '"' in line else "'"
return line.split(delim)[1]
raise RuntimeError("Unable to find version string.")
def parse_dependency(filepath):
dep_list = []
for dep in open(filepath).read().splitlines():
if dep.startswith("#"):
continue
key = "#egg="
if key in dep:
git_link, egg_name = dep.split(key)
dep = f"{egg_name} @ {git_link}"
dep_list.append(dep)
return dep_list
base_requirements = parse_dependency("requirements/base.txt")
dev_requirements = base_requirements + parse_dependency("requirements/dev.txt")
extras_require = {}
for setup_path in Path("mtenv/envs").glob("**/setup.py"):
env_path = setup_path.parent
env_name = (
subprocess.run(["python", setup_path, "--name"], stdout=subprocess.PIPE)
.stdout.decode()
.strip()
)
extras_require[env_name] = base_requirements + parse_dependency(
f"{str(env_path)}/requirements.txt"
)
extras_require["all"] = list(
set([dep for requirements in extras_require.values() for dep in requirements])
)
extras_require["dev"] = dev_requirements
with open("README.md", "r") as fh:
long_description = fh.read()
setuptools.setup(
name="mtenv",
version=get_version("mtenv/__init__.py"),
author="Shagun Sodhani, Ludovic Denoyer, Pierre-Alexandre Kamienny, Olivier Delalleau",
author_email="[email protected], [email protected], [email protected], [email protected]",
description="MTEnv: MultiTask Environments for Reinforcement Learning",
long_description=open("README.md").read(),
long_description_content_type="text/markdown",
install_requires=base_requirements,
url="https://github.com/facbookresearch/mtenv",
packages=setuptools.find_packages(
exclude=["*.tests", "*.tests.*", "tests.*", "tests", "docs", "docsrc"]
),
classifiers=[
"Programming Language :: Python :: 3.6",
"Programming Language :: Python :: 3.7",
"Programming Language :: Python :: 3.8",
"Programming Language :: Python :: 3.9",
"License :: OSI Approved :: MIT License",
"Operating System :: OS Independent",
],
python_requires=">=3.6",
extras_require=extras_require,
)
| 2,743 | 30.54023 | 98 | py |
null | mtenv-main/.circleci/config.yml | # Python CircleCI 2.0 configuration file
#
# Check https://circleci.com/docs/2.0/language-python/ for more details
#
version: 2.1
jobs:
# Linux
py36_linux:
docker:
- image: circleci/python:3.6
steps:
- checkout
- run:
name: "Mujoco setup"
command: |
wget https://www.roboti.us/download/mujoco200_linux.zip
unzip mujoco200_linux.zip -d ~/.mujoco
cp -r ~/.mujoco/mujoco200_linux ~/.mujoco/mujoco200
export LD_LIBRARY_PATH=$LD_LIBRARY_PATH:/home/circleci/.mujoco/mujoco200_linux/bin
sudo apt install -y libosmesa6-dev libgl1-mesa-glx libglfw3 libglew-dev libglfw3-dev patchelf
- run:
name: "Preparing environment"
command: |
sudo apt-get install -y expect
sudo pip install nox
- run:
name: "Testing mtenv"
command: |
export NOX_PYTHON_VERSIONS=3.6
pip install nox
python3 -m nox
py37_linux:
docker:
- image: circleci/python:3.7
steps:
- checkout
- run:
name: "Mujoco setup"
command: |
wget https://www.roboti.us/download/mujoco200_linux.zip
unzip mujoco200_linux.zip -d ~/.mujoco
cp -r ~/.mujoco/mujoco200_linux ~/.mujoco/mujoco200
export LD_LIBRARY_PATH=$LD_LIBRARY_PATH:/home/circleci/.mujoco/mujoco200_linux/bin
sudo apt install -y libosmesa6-dev libgl1-mesa-glx libglfw3 libglew-dev libglfw3-dev patchelf
- run:
name: "Preparing environment"
command: |
sudo apt-get install -y expect
sudo pip install nox
- run:
name: "Testing mtenv"
command: |
export NOX_PYTHON_VERSIONS=3.7
pip install nox
python3 -m nox
py38_linux:
docker:
- image: circleci/python:3.8
steps:
- checkout
- run:
name: "Mujoco setup"
command: |
wget https://www.roboti.us/download/mujoco200_linux.zip
unzip mujoco200_linux.zip -d ~/.mujoco
cp -r ~/.mujoco/mujoco200_linux ~/.mujoco/mujoco200
export LD_LIBRARY_PATH=$LD_LIBRARY_PATH:/home/circleci/.mujoco/mujoco200_linux/bin
sudo apt install -y libosmesa6-dev libgl1-mesa-glx libglfw3 libglew-dev libglfw3-dev patchelf
- run:
name: "Preparing environment"
command: |
sudo apt-get install -y expect
sudo pip install nox
- run:
name: "Testing mtenv"
command: |
export NOX_PYTHON_VERSIONS=3.8
pip install nox
python3 -m nox
py39_linux:
docker:
- image: circleci/python:3.9
steps:
- checkout
- run:
name: "Mujoco setup"
command: |
wget https://www.roboti.us/download/mujoco200_linux.zip
unzip mujoco200_linux.zip -d ~/.mujoco
cp -r ~/.mujoco/mujoco200_linux ~/.mujoco/mujoco200
export LD_LIBRARY_PATH=$LD_LIBRARY_PATH:/home/circleci/.mujoco/mujoco200_linux/bin
sudo apt install -y libosmesa6-dev libgl1-mesa-glx libglfw3 libglew-dev libglfw3-dev patchelf
- run:
name: "Preparing environment"
command: |
sudo apt-get install -y expect
sudo pip install nox
- run:
name: "Testing mtenv"
command: |
export NOX_PYTHON_VERSIONS=3.9
pip install nox
python3 -m nox
workflows:
version: 2.0
build:
jobs:
- py36_linux
- py37_linux
- py38_linux
- py39_linux
| 3,706 | 30.683761 | 105 | yml |
null | mtenv-main/.github/CODE_OF_CONDUCT.md | # Open Source Code of Conduct
## Our Pledge
In the interest of fostering an open and welcoming environment, we as contributors and maintainers pledge to make participation in our project and our community a harassment-free experience for everyone, regardless of age, body size, disability, ethnicity, sex characteristics, gender identity and expression, level of experience, education, socio-economic status, nationality, personal appearance, race, religion, or sexual identity and orientation.
## Our Standards
Examples of behavior that contributes to creating a positive environment include:
Using welcoming and inclusive language
Being respectful of differing viewpoints and experiences
Gracefully accepting constructive criticism
Focusing on what is best for the community
Showing empathy towards other community members
Examples of unacceptable behavior by participants include:
The use of sexualized language or imagery and unwelcome sexual attention or advances
Trolling, insulting/derogatory comments, and personal or political attacks
Public or private harassment
Publishing others’ private information, such as a physical or electronic address, without explicit permission
Other conduct which could reasonably be considered inappropriate in a professional setting
## Our Responsibilities
Project maintainers are responsible for clarifying the standards of acceptable behavior and are expected to take appropriate and fair corrective action in response to any instances of unacceptable behavior.
Project maintainers have the right and responsibility to remove, edit, or reject comments, commits, code, wiki edits, issues, and other contributions that are not aligned to this Code of Conduct, or to ban temporarily or permanently any contributor for other behaviors that they deem inappropriate, threatening, offensive, or harmful.
## Scope
This Code of Conduct applies within all project spaces, and it also applies when an individual is representing the project or its community in public spaces. Examples of representing a project or community include using an official project e-mail address, posting via an official social media account, or acting as an appointed representative at an online or offline event. Representation of a project may be further defined and clarified by project maintainers.
## Enforcement
Instances of abusive, harassing, or otherwise unacceptable behavior may be reported by contacting the project team at [email protected]. All complaints will be reviewed and investigated and will result in a response that is deemed necessary and appropriate to the circumstances. The project team is obligated to maintain confidentiality with regard to the reporter of an incident. Further details of specific enforcement policies may be posted separately.
Project maintainers who do not follow or enforce the Code of Conduct in good faith may face temporary or permanent repercussions as determined by other members of the project’s leadership.
## Attribution
This Code of Conduct is adapted from the [Contributor Covenant][homepage], version 1.4,
available at https://www.contributor-covenant.org/version/1/4/code-of-conduct.html
[homepage]: https://www.contributor-covenant.org | 3,231 | 70.822222 | 463 | md |
null | mtenv-main/.github/CONTRIBUTING.md | # Contributing to MTEnv
We are glad that you want to contribute to MTEnv.
## Local Setup
Follow these instructions to setup MTEnv locally:
* Clone locally - `git clone [email protected]:facebookresearch/mtenv.git`.
* *cd* into the directory - `cd mtenv`.
* Install MTEnv in the dev mode - `pip install -e ".[dev]"`
* Tests can be run locally using `nox`. The code is linted using:
* `black`
* `flake8`
* `mypy`
* Install pre-commit hooks - `pre-commit install`. It will execute some
of the tests when you commit the code. You can disable it by adding the
"-n" flag to git command. For example, `git commit -m <commit_message> -n`.
### Documentation
We use [Sphinx](https://www.sphinx-doc.org/en/master/) to build the documentation.
Follow the steps to build/update the documentation locally.
* rm -rf docs/*
* rm -rf docs_src/source/pages/api
* rm -rf docs_src/build
* sphinx-apidoc -o docs_src/source/pages/api mtenv
* cd docs_src
* make html
* cd ..
* cp -r docs_src/build/html/* docs/
Or run all the commands at once: `rm -rf docs/* && rm -rf docs_src/source/pages/api && rm -rf docs_src/build && sphinx-apidoc -o docs_src/source/pages/api mtenv && cd docs_src && make html && cd .. && cp -r docs_src/build/html/* docs/`
## Pull Requests
We actively welcome your pull requests.
1. Fork the repo and create your branch from `main`.
2. Set up the code using instructions from above.
3. If you are adding a new environment, checkout the guide on [how to contribute new environments](#How-To-Contribute-New-Environments).
4. If you've added code that should be tested, add tests.
5. If you've changed APIs, update the documentation.
6. Ensure the test suite passes. This is tested via CI when you make a PR.
7. Add a news entry as described [here](#News-Entry).
8. If you haven't already, complete the Contributor License Agreement ("CLA").
#### How To Contribute New Environments
1. We recommend that you first open an issue to discuss the feasibility of
adding a new environment. This will eliminate the possibility of duplication
of work.
2. Checkout the guide on [how to create new environments](https://mtenv.readthedocs.io/en/latest/pages/envs/create.html).
3. Create a new folder in `mtenv/envs`.
4. Add the following files, along with the implementation of the environment.
You can refer to existing environments.
* `__init__.py`
* `setup.py`
* `requirements.txt`
* `README.md`
5. Register your environment in `/mtenv/envs/__init__.py`.
* `test_kwargs` are optional but if you can specify some values (both
valid and invalid configurations) for automated testing.
6. We run some basic tests on the environment (to make sure it can be
instantiated). You should add more tests to `tests/envs`
7. Add your environment to the list of supported environments at
`docs_src/source/pages/envs/supported.rst`
#### News Entry
* Add an issue describing the issue that the PR fixes.
* Create a file, with the name `issue_number.xxx`, in `news` folder using
the issue number from the previous step.
* The extension (ie `xxx` part) can be one of the following:
* api_change: API Changes
* bugfix: Bug Fixes
* doc: Documentation Changes
* environment: Environment Chages (addition or removal)
* feature: Features
* misc: Miscellaneous Changes
* Add a crisp one line summary of the change. The summary should complete
the sentence "This change will ...".
## Contributor License Agreement ("CLA")
In order to accept your pull request, we need you to submit a CLA. You only need
to do this once to work on any of Facebook's open source projects.
Complete your CLA here: <https://code.facebook.com/cla>
## Issues
We use GitHub issues to track public bugs. Please ensure your description is
clear and has sufficient instructions to be able to reproduce the issue.
Facebook has a [bounty program](https://www.facebook.com/whitehat/) for the safe
disclosure of security bugs. In those cases, please go through the process
outlined on that page and do not file a public issue.
## License
By contributing to MTEnv, you agree that your contributions will be licensed
under the LICENSE file in the root directory of this source tree. | 4,208 | 37.614679 | 235 | md |
null | mtenv-main/.github/ISSUE_TEMPLATE.md | ---
name: "Issue"
about:
title: "Issue"
labels:
assignees: ''
---
# Description
What issue are you facing?
## How to reproduce
**Add a minimal example to reproduce the issue.**
**Stack trace / error message**
Paste the stack trace/error message to [Gist](https://gist.github.com)
and paste the link here.
## System information
- **MTEnv Version** :
- **MTEnv environment Name** :
- **Python version** :
## Any other information
Add any other information here.
| 477 | 14.419355 | 70 | md |
null | mtenv-main/.github/PULL_REQUEST_TEMPLATE.md | Thank you for contributing to MTEnv.
## Proposed Change
What are you proposing? What is the motivation for the change.
### Have you read the [Contributing Guidelines](https://github.com/facebookresearch/mtenv/blob/main/.github/CONTRIBUTING.md)?
Yes/No
## Related Issues/PRs
Any issues or PRs that are related to this? | 323 | 23.923077 | 125 | md |
null | mtenv-main/docs_src/source/conf.py | # Copyright (c) Facebook, Inc. and its affiliates. All Rights Reserved
# Configuration file for the Sphinx documentation builder.
#
# This file only contains a selection of the most common options. For a full
# list see the documentation:
# https://www.sphinx-doc.org/en/master/usage/configuration.html
# -- Path setup --------------------------------------------------------------
# If extensions (or modules to document with autodoc) are in another directory,
# add these directories to sys.path here. If the directory is relative to the
# documentation root, use os.path.abspath to make it absolute, like shown here.
#
import os
import sys
sys.path.insert(0, os.path.abspath("../.."))
# -- Project information -----------------------------------------------------
import mtenv
project = "mtenv"
copyright = "2021, Facebook AI"
author = "Shagun Sodhani, Ludovic Denoyer, Pierre-Alexandre Kamienny, Olivier Delalleau"
# The full version, including alpha/beta/rc tags
release = mtenv.__version__
# -- General configuration ---------------------------------------------------
# Add any Sphinx extension module names here, as strings. They can be
# extensions coming with Sphinx (named 'sphinx.ext.*') or your custom
# ones.
extensions = [
"sphinx.ext.autodoc",
"sphinx.ext.autosectionlabel",
"sphinx.ext.napoleon",
"sphinx.ext.viewcode",
"sphinx_copybutton",
"sphinxcontrib.bibtex",
]
bibtex_bibfiles = ["pages/bib/refs.bib"]
# Add any paths that contain templates here, relative to this directory.
templates_path = ["_templates"]
# List of patterns, relative to source directory, that match files and
# directories to ignore when looking for source files.
# This pattern also affects html_static_path and html_extra_path.
exclude_patterns = ["_build", "Thumbs.db", ".DS_Store"]
# -- Options for HTML output -------------------------------------------------
# The theme to use for HTML and HTML Help pages. See the documentation for
# a list of builtin themes.
#
html_theme = "sphinx_rtd_theme"
# Add any paths that contain custom static files (such as style sheets) here,
# relative to this directory. They are copied after the builtin static files,
# so a file named "default.css" will overwrite the builtin "default.css".
html_static_path = ["_static"]
# https://github.com/sphinx-doc/sphinx/issues/2374
autoclass_content = "both"
| 2,375 | 33.434783 | 88 | py |
null | mtenv-main/examples/bandit.py | # Copyright (c) Facebook, Inc. and its affiliates. All Rights Reserved
from typing import List, Optional, Tuple
import numpy as np
from gym import spaces
from gym.core import Env
from mtenv.utils import seeding
from mtenv.utils.types import ActionType, DoneType, EnvObsType, InfoType, RewardType
StepReturnType = Tuple[EnvObsType, RewardType, DoneType, InfoType]
class BanditEnv(Env): # type: ignore[misc]
# Class cannot subclass 'Env' (has type 'Any')
def __init__(self, n_arms: int):
self.n_arms = n_arms
self.action_space = spaces.Discrete(n_arms)
self.observation_space = spaces.Box(
low=0.0, high=1.0, shape=(1,), dtype=np.float32
)
self.reward_probability = spaces.Box(
low=0.0, high=1.0, shape=(self.n_arms,)
).sample()
def seed(self, seed: Optional[int] = None) -> List[int]:
self.np_random_env, seed = seeding.np_random(seed)
assert isinstance(seed, int)
return [seed]
def reset(self) -> EnvObsType:
return np.asarray([0.0])
def step(self, action: ActionType) -> StepReturnType:
sample = self.np_random_env.rand()
reward = 0.0
if sample < self.reward_probability[action]:
reward = 1.0
return np.asarray([0.0]), reward, False, {}
def run() -> None:
env = BanditEnv(5)
env.seed(seed=5)
for episode in range(3):
print("=== episode " + str(episode))
print(env.reset())
for _ in range(5):
action = env.action_space.sample()
print(env.step(action))
if __name__ == "__main__":
run()
| 1,632 | 27.649123 | 84 | py |
null | mtenv-main/examples/finite_mtenv_bandit.py | # Copyright (c) Facebook, Inc. and its affiliates. All Rights Reserved
from typing import Any, Dict, List, Optional
import numpy as np
from gym import spaces
from mtenv import MTEnv
from mtenv.utils import seeding
from mtenv.utils.types import ActionType, ObsType, StepReturnType
TaskStateType = int
class FiniteMTBanditEnv(MTEnv):
"""Multitask Bandit Env where the task_state is sampled from a finite list of states"""
def __init__(self, n_tasks: int, n_arms: int):
super().__init__(
action_space=spaces.Discrete(n_arms),
env_observation_space=spaces.Box(
low=0.0, high=1.0, shape=(1,), dtype=np.float32
),
task_observation_space=spaces.Box(low=0.0, high=1.0, shape=(n_arms,)),
)
self.n_arms = n_arms
self.n_tasks = n_tasks
self.observation_space["task_obs"].seed(0)
self.possible_task_observations = np.asarray(
[self.observation_space["task_obs"].sample() for _ in range(self.n_tasks)]
)
# possible_task_observations is assumed to be part of the environment definition ie
# everytime we instantiate the env, we get the same `possible_task_observations`.
self._should_reset_env = True
def reset(self, **kwargs: Dict[str, Any]) -> ObsType:
self.assert_env_seed_is_set()
self._should_reset_env = False
return {"env_obs": [0.0], "task_obs": self.task_obs}
def sample_task_state(self) -> TaskStateType:
"""Sample a `task_state` that contains all the information needed to revert to any
other task. For examples, refer to TBD"""
self.assert_task_seed_is_set()
# The assert statement (at the start of the function) ensures that self.np_random_task
# is not None. Mypy is raising the warning incorrectly.
return self.np_random_task.randint(0, self.n_tasks) # type: ignore[no-any-return, union-attr]
def set_task_state(self, task_state: TaskStateType) -> None:
self.task_state = task_state
self.task_obs = self.possible_task_observations[task_state]
def step(self, action: ActionType) -> StepReturnType:
if self._should_reset_env:
raise RuntimeError("Call `env.reset()` before calling `env.step()`")
# The assert statement (at the start of the function) ensures that self.np_random_task
# is not None. Mypy is raising the warning incorrectly.
sample = self.np_random_env.rand() # type: ignore[union-attr]
reward = 0.0
if sample < self.task_obs[action]: # type: ignore[index]
reward = 1.0
return (
{"env_obs": [0.0], "task_obs": self.task_obs},
reward,
False,
{},
)
def seed_task(self, seed: Optional[int] = None) -> List[int]:
"""Set the seed for task information"""
self.np_random_task, seed = seeding.np_random(seed)
# in this function, we do not need the self.np_random_task
return [seed]
def get_task_state(self) -> TaskStateType:
"""Return all the information needed to execute the current task again.
For examples, refer to TBD"""
return self.task_state
def run() -> None:
env = FiniteMTBanditEnv(n_tasks=10, n_arms=5)
env.seed(seed=1)
env.seed_task(seed=2)
for task in range(3):
print("=== Task " + str(task % 2))
env.set_task_state(task % 2)
print(env.reset())
for _ in range(5):
action = env.action_space.sample()
print(env.step(action))
new_env = FiniteMTBanditEnv(n_tasks=10, n_arms=5)
new_env.seed(seed=1)
new_env.seed_task(seed=2)
print("=== Executing the current task (from old env) in new env ")
new_env.set_task_state(task_state=env.get_task_state())
print(new_env.reset())
for _ in range(5):
action = new_env.action_space.sample()
print(new_env.step(action))
if __name__ == "__main__":
run()
| 4,016 | 35.518182 | 102 | py |
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