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let ensure_growth_rate gr v = if gr <= 1 . then raise ( Invalid_argument " growth_rate <= 1 " ) else v . growth_rate <- max gr v . growth_rate v . length <- 0 ; v . data <- [ ] || if i < 0 || i >= v . length then raise ( Invalid_argument " Index out of range " ) else v . data . ( i ) if i < 0 || i >= v . length then raise ( Invalid_argument " Index out of range " ) else v . data . ( i ) <- a |
let get v i = if i < 0 || i >= v . length then None else Some v . data . ( i ) |
let ensure_capacity c v = if c < 0 then raise ( Invalid_argument " amount < 0 " ) else let cap = capacity v in let target_cap = length v + c in if target_cap > cap then begin let cap = ref ( if cap = 0 then v . growth_rate else float_of_int cap ) in let target_cap = float_of_int target_cap in while ! cap < target_cap do cap := ! cap . * v . growth_rate done ; let data = array_uninit ( int_of_float ! cap ) in Array . blit v . data 0 data 0 v . length ; v . data <- data end |
let shrink_to_fit v = if capacity v > v . length then let data = array_uninit v . length in Array . blit v . data 0 data 0 v . length ; v . data <- data |
let push val ' v = ensure_capacity 1 v ; let length = v . length in v . length <- length + 1 ; v . data . ( length ) <- val ' |
let pop v = if v . length = 0 then None else let val ' = v . data . ( v . length - 1 ) in v . data . ( v . length - 1 ) <- Obj . magic 0 ; v . length <- v . length - 1 ; Some val ' { growth_rate = default_growth_rate ; length = 1 ; data = [ | a ] | } |
let find f v = let rec go i = if i = v . length then None else let e = v . data . ( i ) in if f e then Some e else go ( i + 1 ) in go 0 |
let find_exn f v = match find f v with | None -> raise Not_found | Some a -> a |
let add_at i a v = if i < 0 || i > v . length then false else begin ensure_capacity 1 v ; for i ' = v . length downto i + 1 do v . data . ( i ' ) <- v . data . ( i ' - 1 ) done ; v . data . ( i ) <- a ; v . length <- v . length + 1 ; true end |
let remove_at i v = if i < 0 || i >= v . length then None else begin let a = v . data . ( i ) in for i ' = i to v . length - 2 do v . data . ( i ' ) <- v . data . ( i ' + 1 ) done ; v . length <- v . length - 1 ; v . data . ( v . length ) <- Obj . magic 0 ; Some a end |
let map f v = let v2 = make ~ growth_rate : v . growth_rate ~ capacity : v . length ( ) in v2 . length <- v . length ; for i = 0 to v . length - 1 do v2 . data . ( i ) <- f v . data . ( i ) done ; v2 |
let mapi f v = let v2 = make ~ growth_rate : v . growth_rate ~ capacity : v . length ( ) in v2 . length <- v . length ; for i = 0 to v . length - 1 do v2 . data . ( i ) <- f i v . data . ( i ) done ; v2 |
let map_in_place f v = for i = 0 to v . length - 1 do v . data . ( i ) <- f v . data . ( i ) done |
let map2 f v1 v2 = let total_l = v1 . length * v2 . length in let max_gr = max v1 . growth_rate v2 . growth_rate in let v = make ~ growth_rate : max_gr ~ capacity : total_l ( ) in v . length <- total_l ; let idx = ref 0 in for i = 0 to v1 . length - 1 do for j = 0 to v2 . length - 1 do v . data . ( ! idx ) <- f v1 . data . ( i ) v2 . data . ( j ) ; incr idx done done ; v |
let flatten vs = let max_gr = ref 0 . in let total_l = ref 0 in for i = 0 to vs . length - 1 do let crr_v = vs . data . ( i ) in let v_gr = crr_v . growth_rate in if ! max_gr < v_gr then max_gr := v_gr ; total_l := ! total_l + crr_v . length done ; let v = make ~ growth_rate :! max_gr ~ capacity :! total_l ( ) in v . length <- ! total_l ; let idx = ref 0 in for i = 0 to vs . length - 1 do let crr_v = vs . data . ( i ) in for j = 0 to crr_v . length - 1 do v . data . ( ! idx ) <- crr_v . data . ( j ) ; incr idx done done ; v |
let append_in_place v v2 = ensure_capacity v2 . length v ; for i = 0 to v2 . length - 1 do v . data . ( i + v . length ) <- v2 . data . ( i ) done ; v . length <- v . length + v2 . length |
let flat_map f v = let v2 = make ~ growth_rate : v . growth_rate ~ capacity : v . length ( ) in for i = 0 to v . length - 1 do append_in_place v2 ( f v . data . ( i ) ) done ; v2 |
let iter f v = for i = 0 to v . length - 1 do f v . data . ( i ) done |
let iteri f v = for i = 0 to v . length - 1 do f i v . data . ( i ) done |
let filter f v = let v2 = make ~ growth_rate : v . growth_rate ~ capacity : v . length ( ) in let l = ref 0 in for i = 0 to v . length - 1 do let e = v . data . ( i ) in if f e then ( v2 . data . ( ! l ) <- e ; incr l ) done ; v2 . length <- ! l ; v2 |
let filteri f v = let v2 = make ~ growth_rate : v . growth_rate ~ capacity : v . length ( ) in let l = ref 0 in for i = 0 to v . length - 1 do let e = v . data . ( i ) in if f i e then ( v2 . data . ( ! l ) <- e ; incr l ) done ; v2 . length <- ! l ; v2 |
let filter_in_place f v = let old_l = v . length in let l = ref 0 in for i = 0 to old_l - 1 do let e = v . data . ( i ) in if f e then ( v . data . ( ! l ) <- e ; incr l ) done ; for i = ! l to old_l - 1 do v . data . ( i ) <- Obj . magic 0 done ; v . length <- ! l { growth_rate = default_growth_rate ; length = Array . length a ; data = a } |
let to_list v = let rec go acc = function | - 1 -> acc | i -> go ( v . data . ( i ) :: acc ) ( i - 1 ) in go [ ] ( v . length - 1 ) |
let append v v2 = let v ' = copy v in append_in_place v ' v2 ; v ' |
let rev_in_place v = let [ @ inline ] swap i j = let temp = v . data . ( i ) in v . data . ( i ) <- v . data . ( j ) ; v . data . ( j ) <- temp in let rec go i j = if i < j then ( swap i j ; go ( i + 1 ) ( j - 1 ) ) in go 0 ( v . length - 1 ) let v ' = copy v in rev_in_place v ' ; v ' |
let exists f v = let rec go i = i <> v . length && ( f v . data . ( i ) || go ( i + 1 ) ) in go 0 |
let for_all f v = let rec go i = i = v . length || ( f v . data . ( i ) && go ( i + 1 ) ) in go 0 |
let fold_left f z v = let rec go acc i = if i = v . length then acc else go ( f acc v . data . ( i ) ) ( i + 1 ) in go z 0 |
let fold_right f v z = let rec go acc i = if i <= 0 then acc else go ( f v . data . ( i ) acc ) ( i - 1 ) in go z ( v . length - 1 ) |
let zip_with f v1 v2 = let min_length = min v1 . length v2 . length in let max_gr = max v1 . growth_rate v2 . growth_rate in let v = make ~ growth_rate : max_gr ~ capacity : min_length ( ) in v . length <- min_length ; for i = 0 to min_length - 1 do v . data . ( i ) <- f v1 . data . ( i ) v2 . data . ( i ) done ; v shrink_to_fit v ; Array . fast_sort f v . data |
let equal_by f a b = if a . length <> b . length then false else let rec go i = i = a . length || ( f a . data . ( i ) b . data . ( i ) && go ( i + 1 ) ) in go 0 |
let compare_by f a b = let min_l , min_l_ord = match a . length - b . length with | 0 -> a . length , 0 | l when l < 0 -> a . length , - 1 | _ -> b . length , 1 in let rec go i = if i = min_l then min_l_ord else let ord = f a . data . ( i ) b . data . ( i ) in if ord <> 0 then ord else go ( i + 1 ) in go 0 |
let pretty_print fmt v = if v . length = 0 then " [ ] " else let buf = Buffer . create 2 in Buffer . add_char buf ' [ ' ; Buffer . add_string buf @@ fmt v . data . ( 0 ) ; for i = 1 to v . length - 1 do Buffer . add_string buf " ; " ; Buffer . add_string buf ( fmt v . data . ( i ) ) done ; Buffer . add_char buf ' ] ' ; Buffer . contents buf |
let range start end ' = let l = ( abs ( end ' - start ) + 1 ) in let v = make ~ capacity : l ( ) in let rec inc i crr = if crr <= end ' then begin v . data . ( i ) <- crr ; inc ( i + 1 ) ( crr + 1 ) end in let rec dec i crr = if crr >= end ' then begin v . data . ( i ) <- crr ; dec ( i + 1 ) ( crr - 1 ) end in if start < end ' then inc 0 start else dec 0 start ; v . length <- l ; v |
module Infix = struct let ( . [ ] ) ! = get_exn let ( . [ ] ) !<- = set_exn let ( . [ ] ) ? = get let ( . [ ] ) ?<- = set let ( ) @ = append let ( ) =|< = map let [ @ inline ] ( ) >|= v f = f =|< v let ( ) <$> = map let ( ) <*> = apply let ( ) =<< = flat_map let ( ) >>= v f = f =<< v let ( ) -- = range end |
module Let_syntax = struct let [ @ inline ] ( let ) + v f = map f v let ( and ) + = cartesian_product let [ @ inline ] ( let ) * v f = flat_map f v let ( and ) * = cartesian_product end |
let devices = Spoc . Devices . init ( ) |
let dev = ref devices . ( 0 ) |
let vec_size = ref 1024 |
let auto_transfers = ref true |
let verify = ref true |
let _ = Random . self_init ( ) ; let arg1 = ( " - device " , Arg . Int ( fun i -> dev := devices . ( i ) ) , " number of the device [ 0 ] " ) and arg2 = ( " - size " , Arg . Int ( fun i -> vec_size := i ) , " size of the vectors to multiply [ 1024 ] " ) and arg3 = ( " - auto " , Arg . Bool ( fun b -> auto_transfers := b ) , " let Spoc handles transfers automatically [ false ] " ) and arg4 = ( " - check " , Arg . Bool ( fun b -> verify := b ) , " check computation [ true ] " ) in Arg . parse ( [ arg1 ; arg2 ; arg3 ; arg4 ] ) ( fun s -> ( ) ) " " ; let allow_double = Spoc . Devices . allowDouble ! dev in Spoc . Mem . auto_transfers ! auto_transfers ; Printf . printf " Will use device : % s \ n " ( ! dev ) . Spoc . Devices . general_info . Spoc . Devices . name ; Printf . printf " Size of vectors : % d \ n " ! vec_size ; if allow_double then begin Printf . printf " Will use double precision \ n " ; Printf . printf " Allocating Vectors ( on CPU memory ) \ n " ; %! let a = Spoc . Vector . create Spoc . Vector . float64 ( ! vec_size ) and b = Spoc . Vector . create Spoc . Vector . float64 ( ! vec_size ) and res = Spoc . Vector . create Spoc . Vector . float64 ( ! vec_size ) in let vec_add = vec_add_double in Printf . printf " Loading Vectors with random floats \ n " ; %! for i = 0 to ( Spoc . Vector . length a - 1 ) do done ; if ( not ! auto_transfers ) then begin end ; begin Printf . printf " Computing \ n " ; %! let threadsPerBlock = match ! dev . Devices . specific_info with | Devices . OpenCLInfo clI -> ( match clI . Devices . device_type with | Devices . CL_DEVICE_TYPE_CPU -> 1 | _ -> 256 ) | _ -> 256 in let blocksPerGrid = ( ! vec_size + threadsPerBlock - 1 ) / threadsPerBlock in let block = { Spoc . Kernel . blockX = threadsPerBlock ; Spoc . Kernel . blockY = 1 ; Spoc . Kernel . blockZ = 1 ; } in let grid = { Spoc . Kernel . gridX = blocksPerGrid ; Spoc . Kernel . gridY = 1 ; Spoc . Kernel . gridZ = 1 ; } in Spoc . Kernel . run ! dev ( block , grid ) vec_add ( a , b , res , ! vec_size ) ; end ; if ( not ! auto_transfers ) then begin end ; Spoc . Devices . flush ! dev ( ) ; if ! verify then ( for i = 0 to ( Spoc . Vector . length res - 1 ) do let tmp = ( Spoc . Mem . get a i ) . + ( Spoc . Mem . get b i ) in if ( ( tmp ) . - ( Spoc . Mem . get res i ) > 1 . e - 8 ) then begin end ; done ; if ! correct then Printf . printf " Verif OK \ n " else Printf . printf " Verif KO \ n " ) ; end else begin Printf . printf " Will use simple precision \ n " ; Printf . printf " Allocating Vectors ( on CPU memory ) \ n " ; %! let a = Spoc . Vector . create Spoc . Vector . float32 ( ! vec_size ) and b = Spoc . Vector . create Spoc . Vector . float32 ( ! vec_size ) and res = Spoc . Vector . create Spoc . Vector . float32 ( ! vec_size ) in let vec_add = vec_add in Printf . printf " Loading Vectors with random floats \ n " ; %! for i = 0 to ( Spoc . Vector . length a - 1 ) do Spoc . Mem . set a i ( Random . float 32 . ) ; Spoc . Mem . set b i ( ( Random . float 32 . ) ) ; done ; if ( not ! auto_transfers ) then begin end ; begin Printf . printf " Computing \ n " ; %! let threadsPerBlock = match ! dev . Devices . specific_info with | Devices . OpenCLInfo clI -> ( match clI . Devices . device_type with | Devices . CL_DEVICE_TYPE_CPU -> 1 | _ -> 256 ) | _ -> 256 in let blocksPerGrid = ( ! vec_size + threadsPerBlock - 1 ) / threadsPerBlock in let block = { Spoc . Kernel . blockX = threadsPerBlock ; Spoc . Kernel . blockY = 1 ; Spoc . Kernel . blockZ = 1 ; } in let grid = { Spoc . Kernel . gridX = blocksPerGrid ; Spoc . Kernel . gridY = 1 ; Spoc . Kernel . gridZ = 1 ; } in Spoc . Kernel . run ! dev ( block , grid ) vec_add ( a , b , res , ! vec_size ) ; end ; if ( not ! auto_transfers ) then begin end ; Spoc . Devices . flush ! dev ( ) ; if ! verify then ( for i = 0 to ( Spoc . Vector . length res - 1 ) do let tmp = ( Spoc . Mem . get a i ) . + ( Spoc . Mem . get b i ) in if ( ( tmp ) . - ( Spoc . Mem . get res i ) > 1 . e - 5 ) then begin end ; done ; if ! correct then Printf . printf " Verif OK \ n " else Printf . printf " Verif KO \ n " ) end |
let devices = Spoc . Devices . init ( ) |
let dev2n = 1 mod 1 mod Array . length devices in |
let dev1 = ref devices . ( 0 ) in |
let start ( ) = if ( ( Spoc . Devices . gpgpu_devices ( ) ) < 2 ) then begin Printf . printf " Only one compatible device found \ n " ; dev2 := devices . ( 0 ) end else begin Printf . printf " Wow % d compatible devices found \ n " ( Spoc . Devices . gpgpu_devices ( ) ) ; dev2 := devices . ( dev2n ) end in |
let compute ( ) = start ( ) ; Random . self_init ( ) ; let arg0 = ( " - device1 " , Arg . Int ( fun i -> dev1 := devices . ( i ) ) , " number of the device [ 0 ] " ) and arg1 = ( " - device2 " , Arg . Int ( fun i -> dev2 := devices . ( i ) ) , " number of the device [ 1 mod number_of_compatible_devices ] " ) and arg2 = ( " - size " , Arg . Int ( fun i -> vec_size := i ) , " size of the vectors to multiply [ 1024 ] " ) and arg3 = ( " - auto " , Arg . Bool ( fun b -> auto_transfers := b ; ) , " let Spoc handles transfers automatically [ false ] " ) and arg4 = ( " - verify " , Arg . Bool ( fun b -> verify := b ) , " verify computation [ true ] " ) in Arg . parse ( [ arg0 ; arg1 ; arg2 ; arg3 ; arg4 ] ) ( fun s -> ( ) ) " " ; Printf . printf " Will use devices : % s and % s \ n " ( ! dev1 ) . Spoc . Devices . general_info . Spoc . Devices . name ( ! dev2 ) . Spoc . Devices . general_info . Spoc . Devices . name ; Printf . printf " Size of vectors : % d \ n " ! vec_size ; Printf . printf " Allocating Vectors ( on CPU memory ) \ n " ; Printf . printf " Set auto - transfers % b \ n " ! auto_transfers ; Spoc . Mem . auto_transfers ! auto_transfers ; flush stdout ; let a = Spoc . Vector . create Spoc . Vector . float32 ( ! vec_size ) and b = Spoc . Vector . create Spoc . Vector . float32 ( ! vec_size ) and res = Spoc . Vector . create Spoc . Vector . float32 ( ! vec_size ) in let a1 = Spoc . Mem . sub_vector a 0 ( ! vec_size / 2 ) and b1 = Spoc . Mem . sub_vector b 0 ( ! vec_size / 2 ) and res1 = Spoc . Mem . sub_vector res 0 ( ! vec_size / 2 ) and a2 = Spoc . Mem . sub_vector a ( ! vec_size / 2 ) ( ! vec_size / 2 ) and b2 = Spoc . Mem . sub_vector b ( ! vec_size / 2 ) ( ! vec_size / 2 ) and res2 = Spoc . Mem . sub_vector res ( ! vec_size / 2 ) ( ! vec_size / 2 ) in Printf . printf " Loading Vectors with random floats \ n " ; flush stdout ; for i = 0 to ( Spoc . Vector . length a ) - 1 do Spoc . Mem . set a i ( Random . float 32 . ) ; Spoc . Mem . set b i ( ( Random . float 32 . ) ) ; done ; if ( not ! auto_transfers ) then begin Printf . printf " Transfering Vectors ( on Device memory ) \ n " ; flush stdout ; Spoc . Mem . to_device a1 ! dev1 ; Spoc . Mem . to_device b1 ! dev1 ; Spoc . Mem . to_device res1 ! dev1 ; Spoc . Mem . to_device a2 ! dev2 ; Spoc . Mem . to_device b2 ! dev2 ; Spoc . Mem . to_device res2 ! dev2 ; end ; begin Printf . printf " Computing \ n " ; flush stdout ; let threadsPerBlock dev = match dev . Devices . specific_info with | Devices . OpenCLInfo clI -> ( match clI . Devices . device_type with | Devices . CL_DEVICE_TYPE_CPU -> 1 | _ -> 256 ) | _ -> 256 in let blocksPerGrid dev = ( ! vec_size + ( threadsPerBlock dev ) - 1 ) / ( threadsPerBlock dev ) in let block dev = { Spoc . Kernel . blockX = threadsPerBlock dev ; Spoc . Kernel . blockY = 1 ; Spoc . Kernel . blockZ = 1 } and grid dev = { Spoc . Kernel . gridX = ( blocksPerGrid dev ) / 2 ; Spoc . Kernel . gridY = 1 ; Spoc . Kernel . gridZ = 1 } in vecadd # compile ~ debug : true ! dev1 ; vecadd # compile ~ debug : true ! dev2 ; Printf . printf " Computing 1st part \ n " ; flush stdout ; vecadd # run ( a1 , b1 , res1 , ( ! vec_size / 2 ) ) ( block ! dev1 , grid ! dev1 ) 0 ! dev1 ; Printf . printf " Computing 2nd part \ n " ; flush stdout ; vecadd # run ( a2 , b2 , res2 , ( ! vec_size / 2 ) ) ( block ! dev2 , grid ! dev2 ) 0 ! dev2 ; flush stdout ; end ; Printf . printf " Transfering Subvectors Back ( on CPU memory ) \ n " ; Spoc . Mem . to_cpu res1 ( ) ; Spoc . Mem . to_cpu res2 ( ) ; Spoc . Devices . flush ! dev1 ( ) ; Spoc . Devices . flush ! dev2 ( ) ; if ! verify then ( Printf . printf " Verifying Computation \ n " ; flush stdout ; let correct = ref true in begin for i = 0 to ( ( Spoc . Vector . length res ) - 1 ) do let tmp = a . [ < i ] > . + b . [ < i ] > in if ( ( Vector . float32_of_float tmp ) . - res . [ < i ] > <> 0 . ) then begin Printf . printf " ERROR Index : % d - % g <> % g ----> % g \ n " i tmp ( Spoc . Mem . get res i ) ( tmp . - ( Spoc . Mem . get res i ) ) ; Printf . printf " a [ % d ] = % g , b [ % d ] = % g \ n " i ( Spoc . Mem . get a i ) i ( Spoc . Mem . get b i ) ; correct := false ; flush stdout end ; done ; if ! correct then Printf . printf " Verif OK \ n " else Printf . printf " Verif KO \ n " end ) ; flush stdout ; let a = read_line ( ) in a in compute ( ) |
type ( ' el , ' n ) ' n t = | [ ] : ( ' el , Peano . zero ) zero t | ( :: ) : ' el * ( ' el , ' n ) ' n t -> ( ' el , ' n Peano . succ ) succ t |
let is_empty : type n . ( ' a , n ) n t -> bool = function | [ ] -> true | _ :: _ -> false |
let rec to_list : type n . ( ' a , n ) n t -> ' a list = function | [ ] -> [ ] | h :: t -> h :: to_list t |
let rec map : type n . f ( : ' a -> ' b ) ' b -> ( ' a , n ) n t -> ( ' b , n ) n t = fun ~ f ls -> match ls with [ ] -> [ ] | h :: t -> f h :: map ~ f t |
let rec map2 : type n . f ( : ' a -> ' b -> ' c ) ' c -> ( ' a , n ) n t -> ( ' b , n ) n t -> ( ' c , n ) n t = fun ~ f ls_a ls_b -> match ( ls_a , ls_b ) ls_b with | [ ] , [ ] -> [ ] | h_a :: t_a , h_b :: t_b -> f h_a h_b :: map2 ~ f t_a t_b |
let rec fold : type n . init : ' b -> f ( : ' b -> ' a -> ' b ) ' b -> ( ' a , n ) n t -> ' b = fun ~ init ~ f ls -> match ls with [ ] -> init | h :: t -> fold ~ init ( : f init h ) h ~ f t |
let rec fold_map : type n . init : ' b -> f ( : ' b -> ' a -> ' b * ' c ) ' c -> ( ' a , n ) n t -> ' b * ( ' c , n ) n t = fun ~ init ~ f ls -> match ls with | [ ] -> ( init , [ ] ) | h :: t -> let init ' , h ' = f init h in let init ' ' , t ' = fold_map ~ init : init ' ~ f t in ( init ' ' , h ' :: t ' ) t ' |
module Quickcheck_generator = struct open Core_kernel . Quickcheck open Generator . Let_syntax let rec map : type n . f ( : ' a -> ' b Generator . t ) t -> ( ' a , n ) n t -> ( ' b , n ) n t Generator . t = fun ~ f ls -> match ls with | [ ] -> return [ ] | h :: t -> let % bind h ' = f h in let % map t ' = map ~ f t in h ' :: t ' end |
let get_x ( v : t ) : float = Ctypes . getf !@ v Orx_types . Vector . x |
let get_y ( v : t ) : float = Ctypes . getf !@ v Orx_types . Vector . y |
let get_z ( v : t ) : float = Ctypes . getf !@ v Orx_types . Vector . z |
let equal_2d ( a : t ) ( b : t ) : bool = Float . equal ( get_x a ) ( get_x b ) && Float . equal ( get_y a ) ( get_y b ) |
let pp ppf ( v : t ) = Fmt . pf ppf " ( % g , % g , % g ) " ( get_x v ) ( get_y v ) ( get_z v ) |
let make ~ x ~ y ~ z : t = let v = allocate_raw ( ) in let ( _ : t ) = set v x y z in v |
let set_x ( v : t ) ( x : float ) : unit = Ctypes . setf !@ v Orx_types . Vector . x x |
let set_y ( v : t ) ( y : float ) : unit = Ctypes . setf !@ v Orx_types . Vector . y y |
let set_z ( v : t ) ( z : float ) : unit = Ctypes . setf !@ v Orx_types . Vector . z z |
let make_one_vec_op op = let f ' ( ~ target : t ) ( v : t ) : unit = let ( _ : t ) = op target v in ( ) in let f ( v : t ) : t = let target : t = allocate_raw ( ) in f ' ~ target v ; target in ( f ' , f ) |
let ( copy ' , copy ) = make_one_vec_op copy |
let ( normalize ' , normalize ) = make_one_vec_op normalize |
let ( reciprocal ' , reciprocal ) = make_one_vec_op reciprocal |
let ( round ' , round ) = make_one_vec_op round |
let ( floor ' , floor ) = make_one_vec_op floor |
let ( neg ' , neg ) = make_one_vec_op neg |
let make_two_vec_op op = let f ' ( ~ target : t ) ( v1 : t ) ( v2 : t ) : unit = let ( _ : t ) = op target v1 v2 in ( ) in let f ( v1 : t ) ( v2 : t ) : t = let target : t = allocate_raw ( ) in f ' ~ target v1 v2 ; target in ( f ' , f ) |
let ( add ' , add ) = make_two_vec_op add |
let ( sub ' , sub ) = make_two_vec_op sub |
let ( mul ' , mul ) = make_two_vec_op mul |
let ( div ' , div ) = make_two_vec_op div |
let ( cross ' , cross ) = make_two_vec_op cross |
let make_one_vec_one_float_op op = let f ' ( ~ target : t ) ( v : t ) ( x : float ) : unit = let ( _ : t ) = op target v x in ( ) in let f ( v : t ) ( x : float ) : t = let target : t = allocate_raw ( ) in f ' ~ target v x ; target in ( f ' , f ) |
let ( mulf ' , mulf ) = make_one_vec_one_float_op mulf |
let ( divf ' , divf ) = make_one_vec_one_float_op divf |
let ( rotate_2d ' , rotate_2d ) = make_one_vec_one_float_op rotate_2d |
let make_two_vec_one_float_op op = let f ' ( ~ target : t ) ( v1 : t ) ( v2 : t ) ( x : float ) : unit = let ( _ : t ) = op target v1 v2 x in ( ) in let f ( v1 : t ) ( v2 : t ) ( x : float ) : t = let target : t = allocate_raw ( ) in f ' ~ target v1 v2 x ; target in ( f ' , f ) |
let ( lerp ' , lerp ) = make_two_vec_one_float_op lerp |
let make_one_vec_two_vec_op op = let f ' ( ~ target : t ) ( v : t ) ( ~ min : t ) ( ~ max : t ) : unit = let ( _ : t ) = op target v min max in ( ) in let f ( v : t ) ( ~ min : t ) ( ~ max : t ) : t = let target : t = allocate_raw ( ) in f ' ~ target v ~ min ~ max ; target in ( f ' , f ) |
let ( clamp ' , clamp ) = make_one_vec_two_vec_op clamp |
let clamp_size ' ~ target v ~ min ~ max = let size = get_size v in copy ' ~ target v ; if size < min then ( normalize ' ~ target target ; mulf ' ~ target target min ) else if size > max then ( normalize ' ~ target target ; mulf ' ~ target target max ) |
let clamp_size v ~ min ~ max = let target : t = allocate_raw ( ) in clamp_size ' ~ target v ~ min ~ max ; target |
let move_x ( v : t ) ( delta : float ) : unit = set_x v ( get_x v . + delta ) |
let move_y ( v : t ) ( delta : float ) : unit = set_y v ( get_y v . + delta ) |
let move_z ( v : t ) ( delta : float ) : unit = set_z v ( get_z v . + delta ) |
let of_rotation ( rotation : float ) : t = let x = cos rotation in let y = sin rotation in make ~ x ~ y ~ z : 0 . 0 |
let to_rotation ( v : t ) : float = Float . atan2 ( get_y v ) ( get_x v ) |
let get_optional_vector get o = let v = allocate_raw ( ) in match get o v with | None -> None | Some _v -> Some v |
let get_vector_exn get o = match get_optional_vector get o with | None -> fail " Failed to set vector " | Some v -> v |
let get_vector get o = let v = allocate_raw ( ) in let ( _ : t ) = get o v in v |
let msgs = [ " c9bd5b35d48f71b48656c39e395e4d138a45df54b7c03fad7330f5fa3f42a44d " ; " c2a49dc5141afdf02480dc2e9d7ec3f602ccc6cf322a0a9b481c80d37170713c " ; " 72e8b038fd5cbe8a3f2bb8e9ffc8f48f39143279210e8bfa0131445da9d76b93 " ; " 6aeee423a44030de1632b7d4e42afc04473f9de218a11358016cd04a3dcc8593 " ; " ba52a5eb037ceecd38bad63d2f004a46bd3ab7f6632d5aa72fe7ee1275e8a704 " ; " bf49613ff391a12081cfca9ef682784aeeeb4c7774d8259627544e71b14ed15b " ; " 582f18a35c36b2403ea78d8b78515dbb8aef4e666ae1ef68795f0969a84e3f28 " ; " 201b2e9fd3eac2e8c2ec737789551c052db59c9d8c90817c8af044a4de10c694 " ; " 20ec8437edc2d7b208b281997199da0362c3b619c77853f4330d00a366cbceff " ; " b404a9e26011d26f85e1ab3f327b90e582be990f664fc4af3924c9226b908828 " ; ] |
let keys = [ ( " D63FF7D5D8FB7334287CB397F824B3567178BB635CD2FAA8A34D0B1BC65FDAF2 " , " 02CA5364C4302C38E93F8A4850E61A8FE6C27E386D4541B898F4E74BE5E6DD0256 " ) ; ( " 9D585160C3AD171D7F4925F359C2B4C8992730DBAEE4D4D10B1E0E489CCA3404 " , " 03D6008C2A656DD414C6869558A1E262F38BD5A142039FE84E750335C543B376B9 " ) ; ( " 62FAA069EE7286D027747656EC736F29D20E5BF827F1D531B1A9DE215AF876F3 " , " 03812447C00050CA921B05A6097C3F29F4ADFF23C4DD6062CBB114DD5B917D1995 " ) ; ( " 2FE21C081FFA7CBD631E6F20B05B870D64A252A3B7E1A125C3D07E7B6BBFF41B " , " 03BBF4A1B5DF7E66E1FFC67AD2778F5E3A78717027FEBFB940C0C3CFC73F052583 " ) ; ( " BC8CB5B05C306B5561CCBAAFE3777C267A8CDEFA6D00B5CE2E65578DEA030F3C " , " 0276285EE239631F904401C2C2A22CEFDF7590546ED3AA4E2B2759F16DD7709D6B " ) ; ( " 610B1C48263CFEA3AEF9C3EF7DE9D39899155BAD1EC66F50165453429032ED9C " , " 03BD396999184DBCA1CBA0596A9BA2E973BFA1AF610F8458A1280DDCB9EAE9EA0E " ) ; ( " 36149C23680AD42DE8C516DE685A52411086EB9556244A83393FC10CEE12F7C5 " , " 023F35281E1AC1EA0589BA9D7FE7C21BA331D2A7A12B3EF2EFE20BEC6639283769 " ) ; ( " 0866AD7FBCE585B740799D508824A547E877CC5F7D64E121FF13016AAF74B734 " , " 0345FFE8A13964727E2D27FD5471D8899CB3C3EE6EDDE81F2C8E19E2EA1FE98160 " ) ; ( " 8D05026AF08E9FFDDB2C485E1A0F1D093C34C5D77962BF31F1437CF0D44CE9D5 " , " 03DF08C9BE891DA811A86914C58B0BE798769FC756A2BD80878B33D9E7373D99A3 " ) ; ( " B495924045946A563F436F5408A68FA21B9782DFC56F44ED90B12130CF9D926A " , " 02823ACE5698ABE2F45C6C9BCB6920AA5183D0ECE663B6B93C213A02F4766CE6A5 " ) ; ] |
let sigs = [ [ ( " 2993E89EF2190B133449447C014A358E44618224E52C27AC83B3468D615FC390 " , " 7A398C8E09359F54E1E5301F0A70DA61BCA0EFC15F037A0A745B78D25F6ABD8F " ) ; ( " 6F89D730F8F95BA32776E7FA1363177615B5955405017AEF0DD7C2474850764E " , " 681DF8E9541892B165E350689246918B9713D9E4FF038C3689BC46375CFCB7B7 " ) ; ( " 2FBE99E3C49C82B539885D522A8D3FA452C91D71D5221873C1402CBF659B5810 " , " 48E56A7360224DC094BD396C4C25D626A21C932320A0DB0427FDBE14FAE20D72 " ) ; ( " 0365BF5DDDE6D76843E2BA6AB9000A9E67F1B1FD844ACE78619FD19B22C06D8F " , " 640F70EA7D40E096D1EF5E5ECC93AE3E8494A671FA61BBAADE7CDE410DF73B23 " ) ; ( " F8CA27D6C8661F452E0A942646F9457EBBB611304E11449B4EB55CDEE5E13E5E " , " E19853B34B666E4470C94BAE4C460CACA29DF19D3ADE3B4CB5E3E6B87353F348 " ) ; ( " 97835322DE8AE0696FC3B589F022053260098BB3802316A10499DF256B4BF6B9 " , " 329149ACE513F7DD5EFDE1109FC35F190EC164BFE128E1F4A21A13C731251AA2 " ) ; ( " 93150473204DF1C253E9F9CF89B955B5C9A2772FD090283EA31E01CCB298C1F2 " , " 4784653C85F5E9FA903F39074965C9EAD54924DCEA74399FDB47CA4E15D73789 " ) ; ( " 4F4FD87427A8C38126F17AA48A24B4E0E6EE42B15F97C43186B67263082BC445 " , " 771797C887D528E82459C8FF1AC44776D1ECC4405F06A01B823F8C51323A2F03 " ) ; ( " 44DBE56BE142276D1511E358D0EE11758DA23A23AA1C22B5E24FED5EB4F4B020 " , " 5347E75C9A51E0587E41B3753622FE477269989F2D148453DE600C8CD4B61481 " ) ; ( " D7090A223AAB6D9C78766BF7EE6DAABB1339E39081C8AA9DE01FA88A3E1D0C95 " , " 82E0670D9EBFC897FFC64085F750D4AA0EA9CE0060B6CC7BD814BB3D3DBD45F3 " ) ; ] ; [ ( " 3E820E2D38508721A2C306453FCB4876C871EFF458B4D67A331B62E3D35F319C " , " 7F4DD16617A34FBD129E8559B54E6EB1B98966E3E7F1E16D4E98AD19D0C65101 " ) ; ( " A03A20058473B0A4FC2442EB9269FCA1B7925CCE81877D793AC103EF6CE16B9D " , " 8E4CD4B5BC3238579BDAD6C0A13922DE457157E1EA226F4A07EE214272FCD44E " ) ; ( " 3E0BB9EFD944C658EB65B5A00D729972982E1F8E49D0007B4F7B3481A137EF54 " , " 27C564A6B4337DB8A39F188073CC3E5B5AE00E487228B4340C0FC5739F7C09A6 " ) ; ( " BCB837DB845BACE2C282D547D0338EB417603DD07E0CBB35E370183451057B74 " , " 6236A33D34AD6A06BAD7D0CAF910A7B992225C63F1977ECABDC20F49F10CCD97 " ) ; ( " AB62075658B7D19A9752D7639FA5063E6D7BA08DE72E00A0C691DC352C9AD962 " , " 53CBF8A896208D7A9D7A56CE57B08F2B00FEE748DF29A9F69B8AB61049DD3A8D " ) ; ( " 0B703E9133978DC668B2C9A6B30E5C12F3446557C6E68769C6B383D754A64D8E " , " 9DD1FCFA3566A53F76CDDFDFA525667E8057C84741B20E18261F36FA5FF4D3CA " ) ; ( " A03EC5801603A87178421E778A835A9D1D7BFB985B06E308CE182B49930DC362 " , " C3FA50430B83CD0EF61B284F4526F29DEC8C239F00657DB6F5FC0660FC7D5314 " ) ; ( " 41A7C97D65B52DB132B126689D0626776EC8B5C74BF9D95391CE0659FD04FDEF " , " 5A9EDA4E725A230B866DEFF2A97D8E29DE293CFC2083770DF66E80062268681D " ) ; ( " 4D86C9C9DAB4F772245602ED8A61CF29122F62012D2910818A057FA0C35D74E8 " , " 5DD4E4349D55D5BC5A23D6B27150E2B31C4A0C5D4A62ED9FA3A48128CDBA6935 " ) ; ( " 3D28C32230F49BC145C28D26DE67E52C5F77AC3D99E01374AC0CD5C19E0F650A " , " BD6919C7223F762CA8EDF6A7B34D63BC443E55964ADF4D379A13AD2339D57BAD " ) ; ] ; [ ( " 507397351356C48A03F5089F29F0DA00B18A5EBD8932BEB3840A79CAB9CAA6BE " , " 25AEBDE6E3376096A799B93C14A27A679DDE80EA6D465329D9DD3015EC2ADAA5 " ) ; ( " D0FF19A923126F55455749F7D2E9EAAB1EE9D0706FC3B08D91B41CF46C84A79E " , " 557AF9B6F31E429220E8530570FE0F53DF520EC126BCF707F058A74059878E26 " ) ; ( " BD5A17D5D54C538D0BFAF7D215BB1F3A18E6CA6802C13CF7CFB93401BE6F96A4 " , " D9435EB188209C731405B849CA6A1DC967106E3515DF3601D9EA183909737033 " ) ; ( " F9089078FF8984C3303E4ACEA87B634EDF3155AA3937B32B93C44CFB3DB37F49 " , " F7F2C39F9AA2D5AEC858C5DCB32CC7DE9C48561BA12BABAEAF567D279AAE93A3 " ) ; ( " 9CF5D1F80AEC5BFB1A7F6323D2DC0CB752532B42B4BBA7711C50020018EC7A91 " , " 5368DE5375DA38461C56FCBD39361A24F5AA5236B7026637B615B243FBBF8CED " ) ; ( " 5C978424C73A16A626F6D39C93DB9C4FFE0593CAF7FCC1BDB6C665D5884716E1 " , " 549F39C22FB2C7C11FD4E5E5C935B5B3E00F9250AC2FD7C902682FDC9BEB2AF6 " ) ; ( " 4A2D401DCFE0045E1482E55DFF978ECF8F092B9E2B17923ECB53DFFB9E4D6845 " , " D7B90591A06C0E15BB6B1F94BB46668FEA9AC408164CFB19DBFE63A93F0DF925 " ) ; ( " 078ECDE5B62D62EE0A2197D416B992B3FD72551C1F297BE8BC490761F98A6753 " , " 304756BA0880F4BF4AD0EBCED85F1B1A3056CB76FD2A725A00ADA58B9DAD3B81 " ) ; ( " 819D67D2F813D0D0C7199DF4FDAF3907A0EFA2AEA1433F37F76914DB3D10D8D4 " , " 52ECE5C1A4036AE515B9D7673EB5D7E2519039CBAB89AE65459E1634FC94E7F7 " ) ; ( " C513BA09A835EA0372460475BB230E3CE9FBA741E59457E6D6E7B860D5146429 " , " CAD294FFD63C5435E937C4646E92DA4A3B7415B9DF939FC41657A79544C6F563 " ) ; ] ; [ ( " 07EE2738ACD0E5DBF81CD1995A2C25E244A5E4B13BCEEB262319D45A1A7D25F0 " , " 5B9535A7E2F6C7E715693902487594814E913DA664932907AC72141B2F13C0C1 " ) ; ( " 7CF0D1E8706D799A504B709671E05B63FA2EEB97B4B28FB35DA285750EEC1F42 " , " DF3D1DF8BDF59857AB24793EA32439918C115CE06A830ABFE7B6320526543FAC " ) ; ( " D0750F538A7BA5AFDE00C6B0635A669B5A665BAB5BD8EE268C22AEC860225F65 " , " 6A3B718FB63972A47FA1BBE26842AA794C3E3CFDA29D0024B77897E844F66081 " ) ; ( " C543BEC86E4A0C941BED9EFE8B5C135A607D85A36B1354C715CEFEF46BB9A213 " , " 9F94BC36487CC5A4FB2F3CAD6C4D20C36AEB467BC200E7F48064A240ADA8506F " ) ; ( " F0D17C82EB1988899D50E36E08F26570C1E3DC097F823D6BC59C9D036CC8F494 " , " 7031F03277228B4F18CECF5E41C8775DDD1B9D101257F5C06DF31EAF6A085B75 " ) ; ( " BF562B53CE096A96A76722E5276221754B3DE59C45B54E355F45E2F7B5D67A64 " , " 85EE44C510A3D82F26036430289382463528FE67233E99F4AD3B52CF73D3E899 " ) ; ( " 7136A26AD8BD50ADCDBE0D37E539ECB86E0BA04994AA394ACB466A8EB6A5EA99 " , " CC7B1F5A6139CA3A066538A4DFEC3A23FC4A5DB945928AAE3066D62F23594646 " ) ; ( " BF4BD3907E148D1CC5186C724DF00C089C2673FCC656B49D8FB04E41FF2A22FE " , " D113D4133C649981EEBE54141244ABB5F144ABFF9CABC65AEF7EC181647B6761 " ) ; ( " 94BF66B58F9635313967F1E2E8804061115C4055AED47E14017791C89F9EF451 " , " A0AA94298113085492DE2BEE64D240FF37E37FF31109AEF6DE5DE68694CC2C20 " ) ; ( " E6F108A5B5BB293EC37A83E9853C7DEB568748B462C3F90C1794340B374884B5 " , " 975E5CE59081B057A2CAE2E551BDF5D940E3956C5D488C87DE30B0EDDFC9FFE7 " ) ; ] ; [ ( " 87AE66069ECE659874289C9F69EC172312C772EF692F50E8F10F9D1B80D706CE " , " 78B78757B9F23226E80B05D19EA4C3310DC55D22660457A84745BD654B5A5F6C " ) ; ( " 24ECEF6DDF05940AFB3D70CF88AD36458E6B6471315BD24C8679D8556CD8F618 " , " A83F0CBC0C6F0A902128780826028700765C38B8D912019E0BBA6588D47E6EAE " ) ; ( " D0120B7384D80823C9BB7B201BC68A57493FB2DEE79205BFBCCF710ADADAE0BF " , " B265B4D0F5B8D7A79789D97DE44C36CC79EE6E4A50F378784CFD0F8B9E13D4CD " ) ; ( " CA8D7FF035A76E529002E61F0C40F9B288C930AE9A26C7E54082E4EFBA30702D " , " 8355D27C2B6DD9EE8E87CEF2CD409C057E9E5C963C9F489A6A7D1174D5687B89 " ) ; ( " 7200EC9AC9866B3D0F91AE84F9F3CFD0240245B69B646FB797048B4189EE3B99 " , " DA34A221D2FD0DFA3C59525BFB08452DDED99DC3D917365681F0FE9BB659CC5B " ) ; ( " EA5F8CA89E36D5AA0388733879F200518E37D14F2079D679A7F27870B82D6ED2 " , " 8C3BEE0E463FCE7E5FB00550F31833E375B99AD7B93B4A6163B83A2C6BE635DF " ) ; ( " CE3F5E660300555F80EF2BB599892170E0A647BDF8A908558817B9516394816C " , " DA04E455428BABCC8A3F4EDD0E8BF2ECB8F93BEEBED571CF9327BF90609E1F97 " ) ; ( " B001141256BF0EBAC21E850C6FD0E987C0820D46C4149FB73FF3FD6AA38ACBE7 " , " 030C7F191EB70A456681ECA6774462F791CF1056F8E3636FC73C8FBA79CA9357 " ) ; ( " DB6026D84FB431FEB8A298A3D9D3288026685849C557187E9031C8D48781DB3D " , " BEDA43577F7EEF2C246A744532E4D4CACBBA9C8CF39E8FB2D408CAC8D5CAF022 " ) ; ( " 8EC3FCBFDFA4754A46710761798A1CCB7DC7CF05A888D24BE39F10C7A3BA95D9 " , " 6C6FBF49299663E4F4FA7CDB5BB2FFCA8C0A8B7F1FF432295E685670500D7A68 " ) ; ] ; [ ( " C9B0DC51E678802F5DB12323D905E50B2AFB675E1D369C4827F906FBDF0D8949 " , " FD0EA9C356841E20F6404CB519AE7418F06413DC40346A64DDEC030CD6819648 " ) ; ( " BE73D8437105C6794B4EA52F245FB43B94E3AA7D866DE70225F95B0F31B045F7 " , " DBA6025C481A050F1028B7F16394B74ABDA295EA2DAFC12853992763E912BCA0 " ) ; ( " 9E94DD39A0DABCD4D663E35DB91614E6CE80F4538E13950C64C01450F73DF17E " , " A6CE7E4483D190AC7EAE12847AD6960A3C3C4A46D094F3B65DB6C91EC81B46AC " ) ; ( " 0C6CBE5D4093A307CC80948530E7993C2862A4FCAEB12291BEBB5050C6FD5C4E " , " 2A360057D9DEA3925672AE80C2DE3142856A45816F0D3459795B13DBB916FD82 " ) ; ( " 7CF8A3B24334C98B261FD24754DB6150C7B6CC2CAB813253794DB34AAF6EB904 " , " C83FE889C70BD1D6F40B731C6794DBD1B88EBB0BD38C8C2D5EE0159E59E456C8 " ) ; ( " F5AC1083FA8DDA8F49F55EF11D103F4D5FA505A8E4DDDC9749A4DD270F320EDF " , " 7F6D18478A22AFFEE623020918E6E015F559296382BA333A2F3CB75FAFEC3D5E " ) ; ( " 23606BC51E67726A31E9711251F263163D61CAF44A6A8E3EC512A02CCA2A6B54 " , " 2D04CC1E0FA9C036404536B04BFDF2A4B479F33B271BD3566D1A8DFC10A3811D " ) ; ( " E97CC9407250EC79A8FD6DC9891D6862FEB6A5FEBDC98707D886784BE466B99D " , " 9BF45C29A9A737620C49FD3FE8DD563C66B1C89BD62DB1A514B68D9F08181475 " ) ; ( " 8E4360EDE2A78AD86C5935C642EE129760F6C624259254AFDAD768AF58DBF1B2 " , " B8AB363775C7FC1CA935E82B6EB36128AB80A382889CC4393E62DBE6DF85B634 " ) ; ( " 4DD37756E5F88605C4076D5C248514D9596B188F648B1095CBE4F471799E9ADB " , " 305886FB73BD2EFEC718C0922A53CFC0A7FE72D8A7341B72917278F705B2D146 " ) ; ] ; [ ( " 31548B4A01E9D18718DF760ECB31BAC5D74B26AA7A1584683BD9E14F3C150536 " , " 57A4EFA6D545729770CF5EC6F8B9E5E8C00EB7A0A1E8989C3D3360FDD3F3A4E6 " ) ; ( " 80E0BCC128735B3A34BB856F451A4DBA0E12DE7548CC228C255A1E45C29BCB50 " , " 276DC10527F4DB8012ED993B051F36595AC306EB0D03756E26FA5A32DE8BADE6 " ) ; ( " 91923E8F82A7F35520F2329877C779999B5E863EE1272FD7C0B07F9E9E357662 " , " A14421CD51A3FF5D226AA926FFC8610905C647283369F23EFCA0F74A9BAAEEB3 " ) ; 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module Arr = struct type ' a t = ' a array let set = Array . set let get = Array . get let len = Array . length let make = Array . make let copy = Array . copy let iter = Array . iter let foldl = Array . fold_left let foldr ' f a x = Array . fold_right f x a let blit = Array . blit let foldr : type a x . ( x -> ( unit -> a ) -> a ) -> ( unit -> a ) -> x t -> a = fun f a x -> let rec loop ( a : unit -> a ) idx = if idx = len x then a ( ) else f ( get x idx ) ( fun ( ) -> loop a ( idx + 1 ) ) in loop a 0 end |
module AP = struct type ' a t = ' a array * ' a array let len ( l , r ) = Arr . len l + Arr . len r let get ( l , r ) i = if i < Arr . len l then Arr . get l i else Arr . get r ( i - Arr . len l ) let set ( l , r ) i x = if i < Arr . len l then Arr . set l i x else Arr . set r ( i - Arr . len l ) x let fold f a ( l , r ) = Arr . foldl f ( Arr . foldl f a l ) r end |
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