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<html><!-- Created using the cpp_pretty_printer from the dlib C++ library. See http://dlib.net for updates. --><head><title>dlib C++ Library - vector_abstract.h</title></head><body bgcolor='white'><pre>
<font color='#009900'>// Copyright (C) 2003 Davis E. King ([email protected])
</font><font color='#009900'>// License: Boost Software License See LICENSE.txt for the full license.
</font><font color='#0000FF'>#undef</font> DLIB_VECTOR_ABSTRACT_
<font color='#0000FF'>#ifdef</font> DLIB_VECTOR_ABSTRACT_
<font color='#0000FF'>#include</font> "<a style='text-decoration:none' href='../serialize.h.html'>../serialize.h</a>"
<font color='#0000FF'>#include</font> <font color='#5555FF'><</font>functional<font color='#5555FF'>></font>
<font color='#0000FF'>#include</font> <font color='#5555FF'><</font>iostream<font color='#5555FF'>></font>
<font color='#0000FF'>#include</font> "<a style='text-decoration:none' href='../matrix/matrix_abstract.h.html'>../matrix/matrix_abstract.h</a>"
<font color='#0000FF'>namespace</font> dlib
<b>{</b>
<font color='#0000FF'>template</font> <font color='#5555FF'><</font>
<font color='#0000FF'>typename</font> T,
<font color='#0000FF'><u>long</u></font> NR <font color='#5555FF'>=</font> <font color='#979000'>3</font>
<font color='#5555FF'>></font>
<font color='#0000FF'>class</font> <b><a name='vector'></a>vector</b> : <font color='#0000FF'>public</font> matrix<font color='#5555FF'><</font>T,NR,<font color='#979000'>1</font><font color='#5555FF'>></font>
<b>{</b>
<font color='#009900'>/*!
REQUIREMENTS ON T
T should be some object that provides an interface that is
compatible with double, float, int, long and the like.
REQUIREMENTS ON NR
NR == 3 || NR == 2
INITIAL VALUE
x() == 0
y() == 0
z() == 0
WHAT THIS OBJECT REPRESENTS
This object represents a three dimensional vector. If NR == 2 then
this object is limited to representing points on the XY plane where
Z is set to 0.
Also note that this object performs the appropriate integer and
floating point conversions and promotions when vectors of mixed
type are used together. For example:
vector<int,3> vi;
vector<double,2> vd;
vd + vi == a vector<double,3> object type since that is what
is needed to contain the result of vi+vd without
any loss of information.
!*/</font>
<font color='#0000FF'>public</font>:
<font color='#0000FF'>typedef</font> T type;
<b><a name='vector'></a>vector</b> <font face='Lucida Console'>(</font>
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
ensures
- #*this has been properly initialized
!*/</font>
<b><a name='vector'></a>vector</b> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> T _x,
<font color='#0000FF'>const</font> T _y,
<font color='#0000FF'>const</font> T _z
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
requires
- NR == 3
ensures
- #x() == _x
- #y() == _y
- #z() == _z
!*/</font>
<b><a name='vector'></a>vector</b> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> T _x,
<font color='#0000FF'>const</font> T _y
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
requires
- NR == 2
ensures
- #x() == _x
- #y() == _y
- #z() == 0
!*/</font>
<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> U, <font color='#0000FF'><u>long</u></font> NRv<font color='#5555FF'>></font>
<b><a name='vector'></a>vector</b> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>U,NRv<font color='#5555FF'>></font><font color='#5555FF'>&</font> v
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
ensures
- Initializes *this with the contents of v and does any rounding if necessary and also
takes care of converting between 2 and 3 dimensional vectors.
- if (U is a real valued type like float or double and T is an integral type like long) then
- if (NR == 3) then
- #x() == floor(v.x() + 0.5)
- #y() == floor(v.y() + 0.5)
- #z() == floor(v.z() + 0.5)
- else // NR == 2
- #x() == floor(v.x() + 0.5)
- #y() == floor(v.y() + 0.5)
- #z() == 0
- else
- if (NR == 3) then
- #x() == v.x()
- #y() == v.y()
- #z() == v.z()
- else // NR == 2
- #x() == v.x()
- #y() == v.y()
- #z() == 0
!*/</font>
<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> EXP<font color='#5555FF'>></font>
<b><a name='vector'></a>vector</b> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> matrix_exp<font color='#5555FF'><</font>EXP<font color='#5555FF'>></font><font color='#5555FF'>&</font> m
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
requires
- m.size() == NR
- m.nr() == 1 || m.nc() == 1 (i.e. m must be a row or column matrix)
ensures
- Initializes *this with the contents of m and does any rounding if necessary and also
takes care of converting between 2 and 3 dimensional vectors.
- if (m contains real valued values like float or double and T is an integral type like long) then
- #x() == floor(m(0) + 0.5)
- #y() == floor(m(1) + 0.5)
- if (NR == 3) then
- #z() == floor(m(2) + 0.5)
- else
- #z() == 0
- else
- #x() == m(0)
- #y() == m(1)
- if (NR == 3) then
- #z() == m(2)
- else
- #z() == 0
!*/</font>
~<b><a name='vector'></a>vector</b> <font face='Lucida Console'>(</font>
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
ensures
- all resources associated with *this have been released
!*/</font>
<font color='#0000FF'><u>double</u></font> <b><a name='length'></a>length</b><font face='Lucida Console'>(</font>
<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>;
<font color='#009900'>/*!
ensures
- returns the length of the vector
!*/</font>
<font color='#0000FF'><u>double</u></font> <b><a name='length_squared'></a>length_squared</b><font face='Lucida Console'>(</font>
<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>;
<font color='#009900'>/*!
ensures
- returns length()*length()
!*/</font>
T<font color='#5555FF'>&</font> <b><a name='x'></a>x</b> <font face='Lucida Console'>(</font>
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
ensures
- returns a reference to the x component of the vector
!*/</font>
T<font color='#5555FF'>&</font> <b><a name='y'></a>y</b> <font face='Lucida Console'>(</font>
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
ensures
- returns a reference to the y component of the vector
!*/</font>
T<font color='#5555FF'>&</font> <b><a name='z'></a>z</b> <font face='Lucida Console'>(</font>
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
requires
- NR == 3 (this function actually doesn't exist when NR != 3)
ensures
- returns a reference to the z component of the vector
!*/</font>
<font color='#0000FF'>const</font> T<font color='#5555FF'>&</font> <b><a name='x'></a>x</b> <font face='Lucida Console'>(</font>
<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>;
<font color='#009900'>/*!
ensures
- returns a const reference to the x component of the vector
!*/</font>
<font color='#0000FF'>const</font> T<font color='#5555FF'>&</font> <b><a name='y'></a>y</b> <font face='Lucida Console'>(</font>
<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>;
<font color='#009900'>/*!
ensures
- returns a const reference to the y component of the vector
!*/</font>
<font color='#0000FF'>const</font> T<font color='#5555FF'>&</font> <b><a name='z'></a>z</b> <font face='Lucida Console'>(</font>
<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>;
<font color='#009900'>/*!
ensures
- if (NR == 3) then
- returns a const reference to the z component of the vector
- else
- return 0
(there isn't really a z in this case so we just return 0)
!*/</font>
T <b><a name='dot'></a>dot</b> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> vector<font color='#5555FF'>&</font> rhs
<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>;
<font color='#009900'>/*!
ensures
- returns the result of the dot product between *this and rhs
!*/</font>
vector<font color='#5555FF'><</font>T,<font color='#979000'>3</font><font color='#5555FF'>></font> <b><a name='cross'></a>cross</b> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> vector<font color='#5555FF'>&</font> rhs
<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>;
<font color='#009900'>/*!
ensures
- returns the result of the cross product between *this and rhs
!*/</font>
vector<font color='#5555FF'><</font><font color='#0000FF'><u>double</u></font>,NR<font color='#5555FF'>></font> <b><a name='normalize'></a>normalize</b> <font face='Lucida Console'>(</font>
<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>;
<font color='#009900'>/*!
ensures
- returns a vector with length() == 1 and in the same direction as *this
!*/</font>
vector <b><a name='operator'></a>operator</b><font color='#5555FF'>+</font> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> vector<font color='#5555FF'>&</font> rhs
<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>;
<font color='#009900'>/*!
ensures
- returns the result of adding *this to rhs
!*/</font>
vector <b><a name='operator'></a>operator</b><font color='#5555FF'>-</font> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> vector<font color='#5555FF'>&</font> rhs
<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>;
<font color='#009900'>/*!
ensures
- returns the result of subtracting rhs from *this
!*/</font>
vector <b><a name='operator'></a>operator</b><font color='#5555FF'>-</font> <font face='Lucida Console'>(</font>
<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>;
<font color='#009900'>/*!
ensures
- returns -1*(*this)
!*/</font>
vector <b><a name='operator'></a>operator</b><font color='#5555FF'>/</font> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> T rhs
<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>;
<font color='#009900'>/*!
ensures
- returns the result of dividing *this by rhs
!*/</font>
vector<font color='#5555FF'>&</font> <b><a name='operator'></a>operator</b><font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> vector<font color='#5555FF'>&</font> rhs
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
ensures
- #x() == rhs.x()
- #y() == rhs.y()
- #z() == rhs.z()
- returns #*this
!*/</font>
vector<font color='#5555FF'>&</font> <b><a name='operator'></a>operator</b> <font color='#5555FF'>+</font><font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> vector<font color='#5555FF'>&</font> rhs
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
ensures
- #*this == *this + rhs
- returns #*this
!*/</font>
vector<font color='#5555FF'>&</font> <b><a name='operator'></a>operator</b> <font color='#5555FF'>-</font><font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> vector<font color='#5555FF'>&</font> rhs
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
ensures
- #*this == *this - rhs
- returns #*this
!*/</font>
vector<font color='#5555FF'>&</font> <b><a name='operator'></a>operator</b> <font color='#5555FF'>*</font><font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> T rhs
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
ensures
- #*this == *this * rhs
- returns #*this
!*/</font>
vector<font color='#5555FF'>&</font> <b><a name='operator'></a>operator</b> <font color='#5555FF'>/</font><font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> T rhs
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
ensures
- #*this == *this / rhs
- returns #*this
!*/</font>
<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> U, <font color='#0000FF'><u>long</u></font> NR2<font color='#5555FF'>></font>
<font color='#0000FF'><u>bool</u></font> <b><a name='operator'></a>operator</b><font color='#5555FF'>=</font><font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>U,NR2<font color='#5555FF'>></font><font color='#5555FF'>&</font> rhs
<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>;
<font color='#009900'>/*!
ensures
- if (x() == rhs.x() && y() == rhs.y() && z() == rhs.z()) then
- returns true
- else
- returns false
!*/</font>
<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> U, <font color='#0000FF'><u>long</u></font> NR2<font color='#5555FF'>></font>
<font color='#0000FF'><u>bool</u></font> <b><a name='operator'></a>operator</b><font color='#5555FF'>!</font><font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>U,NR2<font color='#5555FF'>></font><font color='#5555FF'>&</font> rhs
<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>;
<font color='#009900'>/*!
ensures
- returns !((*this) == rhs)
!*/</font>
<font color='#0000FF'><u>void</u></font> <b><a name='swap'></a>swap</b> <font face='Lucida Console'>(</font>
vector<font color='#5555FF'>&</font> item
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
ensures
- swaps *this and item
!*/</font>
<b>}</b>;
<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
<font color='#0000FF'>template</font><font color='#5555FF'><</font><font color='#0000FF'>typename</font> T, <font color='#0000FF'>typename</font> U, <font color='#0000FF'><u>long</u></font> NR<font color='#5555FF'>></font>
vector <b><a name='operator'></a>operator</b><font color='#5555FF'>*</font> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>T,NR<font color='#5555FF'>></font> <font color='#5555FF'>&</font> lhs,
<font color='#0000FF'>const</font> U rhs
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
ensures
- returns the result of multiplying the scalar rhs by lhs
!*/</font>
<font color='#0000FF'>template</font><font color='#5555FF'><</font><font color='#0000FF'>typename</font> T, <font color='#0000FF'>typename</font> U, <font color='#0000FF'><u>long</u></font> NR<font color='#5555FF'>></font>
vector <b><a name='operator'></a>operator</b><font color='#5555FF'>*</font> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> U lhs,
<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>T,NR<font color='#5555FF'>></font> <font color='#5555FF'>&</font> rhs
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
ensures
- returns the result of multiplying the scalar lhs by rhs
!*/</font>
<font color='#0000FF'>template</font><font color='#5555FF'><</font><font color='#0000FF'>typename</font> T, <font color='#0000FF'><u>long</u></font> NR<font color='#5555FF'>></font>
<font color='#0000FF'>inline</font> <font color='#0000FF'><u>void</u></font> <b><a name='swap'></a>swap</b> <font face='Lucida Console'>(</font>
vector<font color='#5555FF'><</font>T,NR<font color='#5555FF'>></font> <font color='#5555FF'>&</font> a,
vector<font color='#5555FF'><</font>T,NR<font color='#5555FF'>></font> <font color='#5555FF'>&</font> b
<font face='Lucida Console'>)</font> <b>{</b> a.<font color='#BB00BB'>swap</font><font face='Lucida Console'>(</font>b<font face='Lucida Console'>)</font>; <b>}</b>
<font color='#009900'>/*!
provides a global swap function
!*/</font>
<font color='#0000FF'>template</font><font color='#5555FF'><</font><font color='#0000FF'>typename</font> T, <font color='#0000FF'><u>long</u></font> NR<font color='#5555FF'>></font>
<font color='#0000FF'><u>void</u></font> <b><a name='serialize'></a>serialize</b> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>T,NR<font color='#5555FF'>></font><font color='#5555FF'>&</font> item,
std::ostream<font color='#5555FF'>&</font> out
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
provides serialization support
!*/</font>
<font color='#0000FF'>template</font><font color='#5555FF'><</font><font color='#0000FF'>typename</font> T, <font color='#0000FF'><u>long</u></font> NR<font color='#5555FF'>></font>
<font color='#0000FF'><u>void</u></font> <b><a name='deserialize'></a>deserialize</b> <font face='Lucida Console'>(</font>
vector<font color='#5555FF'><</font>T,NR<font color='#5555FF'>></font><font color='#5555FF'>&</font> item,
std::istream<font color='#5555FF'>&</font> in
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
provides deserialization support
!*/</font>
<font color='#0000FF'>template</font><font color='#5555FF'><</font><font color='#0000FF'>typename</font> T<font color='#5555FF'>></font>
std::ostream<font color='#5555FF'>&</font> <b><a name='operator'></a>operator</b><font color='#5555FF'><</font><font color='#5555FF'><</font> <font face='Lucida Console'>(</font>
std::ostream<font color='#5555FF'>&</font> out,
<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>T,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> item
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
ensures
- writes item to out in the form "(x, y, z)"
!*/</font>
<font color='#0000FF'>template</font><font color='#5555FF'><</font><font color='#0000FF'>typename</font> T<font color='#5555FF'>></font>
std::istream<font color='#5555FF'>&</font> <b><a name='operator'></a>operator</b><font color='#5555FF'>></font><font color='#5555FF'>></font><font face='Lucida Console'>(</font>
std::istream<font color='#5555FF'>&</font> in,
vector<font color='#5555FF'><</font>T,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> item
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
ensures
- reads a vector from the input stream in and stores it in #item.
The data in the input stream should be of the form (x, y, z)
!*/</font>
<font color='#0000FF'>template</font><font color='#5555FF'><</font><font color='#0000FF'>typename</font> T<font color='#5555FF'>></font>
std::ostream<font color='#5555FF'>&</font> <b><a name='operator'></a>operator</b><font color='#5555FF'><</font><font color='#5555FF'><</font> <font face='Lucida Console'>(</font>
std::ostream<font color='#5555FF'>&</font> out,
<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>T,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> item
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
ensures
- writes item to out in the form "(x, y)"
!*/</font>
<font color='#0000FF'>template</font><font color='#5555FF'><</font><font color='#0000FF'>typename</font> T<font color='#5555FF'>></font>
std::istream<font color='#5555FF'>&</font> <b><a name='operator'></a>operator</b><font color='#5555FF'>></font><font color='#5555FF'>></font><font face='Lucida Console'>(</font>
std::istream<font color='#5555FF'>&</font> in,
vector<font color='#5555FF'><</font>T,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> item
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
ensures
- reads a vector from the input stream in and stores it in #item.
The data in the input stream should be of the form (x, y)
!*/</font>
<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
<a name='point'/><font color='#009900'>/*!A point
This is just a typedef of the vector object.
!*/</font>
<font color='#0000FF'>typedef</font> vector<font color='#5555FF'><</font><font color='#0000FF'><u>long</u></font>,<font color='#979000'>2</font><font color='#5555FF'>></font> point;
<a name='dpoint'/><font color='#009900'>/*!A dpoint
This is just a typedef of the vector object.
!*/</font>
<font color='#0000FF'>typedef</font> vector<font color='#5555FF'><</font><font color='#0000FF'><u>double</u></font>,<font color='#979000'>2</font><font color='#5555FF'>></font> dpoint;
<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
<font color='#0000FF'><u>bool</u></font> <b><a name='is_convex_quadrilateral'></a>is_convex_quadrilateral</b> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> std::array<font color='#5555FF'><</font>dpoint,<font color='#979000'>4</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> pts
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
ensures
- If you walk the points in pts in order pts[0], pts[1], pts[2], pts[3], pts[0]
does it draw a convex quadrilateral? This routine returns true if yes and
false if not.
!*/</font>
<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
<font color='#0000FF'>template</font> <font color='#5555FF'><</font>
<font color='#0000FF'>typename</font> array_of_dpoints
<font color='#5555FF'>></font>
<font color='#0000FF'><u>double</u></font> <b><a name='polygon_area'></a>polygon_area</b> <font face='Lucida Console'>(</font>
<font color='#0000FF'>const</font> array_of_dpoints<font color='#5555FF'>&</font> pts
<font face='Lucida Console'>)</font>;
<font color='#009900'>/*!
requires
- array_of_dpoints is something with an interface compatible with
std::vector<dpoint> or std::array<dpoint,N>.
ensures
- If you walk the points pts in order to make a closed polygon, what is its
area? This function returns that area. It uses the shoelace formula to
compute the result and so works for general non-self-intersecting polygons.
!*/</font>
<font color='#009900'>// ----------------------------------------------------------------------------------------
</font>
<b>}</b>
<font color='#0000FF'>namespace</font> std
<b>{</b>
<font color='#009900'>/*!
Define std::less<vector<T,3> > so that you can use vectors in the associative containers.
!*/</font>
<font color='#0000FF'>template</font><font color='#5555FF'><</font><font color='#0000FF'>typename</font> T<font color='#5555FF'>></font>
<font color='#0000FF'>struct</font> <b><a name='less'></a>less</b><font color='#5555FF'><</font>dlib::vector<font color='#5555FF'><</font>T,<font color='#979000'>3</font><font color='#5555FF'>></font> <font color='#5555FF'>></font> : <font color='#0000FF'>public</font> binary_function<font color='#5555FF'><</font>dlib::vector<font color='#5555FF'><</font>T,<font color='#979000'>3</font><font color='#5555FF'>></font> ,dlib::vector<font color='#5555FF'><</font>T,<font color='#979000'>3</font><font color='#5555FF'>></font> ,<font color='#0000FF'><u>bool</u></font><font color='#5555FF'>></font>
<b>{</b>
<font color='#0000FF'>inline</font> <font color='#0000FF'><u>bool</u></font> <b><a name='operator'></a>operator</b><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font face='Lucida Console'>(</font><font color='#0000FF'>const</font> dlib::vector<font color='#5555FF'><</font>T,<font color='#979000'>3</font><font color='#5555FF'>></font> <font color='#5555FF'>&</font> a, <font color='#0000FF'>const</font> dlib::vector<font color='#5555FF'><</font>T,<font color='#979000'>3</font><font color='#5555FF'>></font> <font color='#5555FF'>&</font> b<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
<b>{</b>
<font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>a.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'><</font> b.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font> <font color='#0000FF'>return</font> <font color='#979000'>true</font>;
<font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>a.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>></font> b.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font> <font color='#0000FF'>return</font> <font color='#979000'>false</font>;
<font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>a.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'><</font> b.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font> <font color='#0000FF'>return</font> <font color='#979000'>true</font>;
<font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>a.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>></font> b.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font> <font color='#0000FF'>return</font> <font color='#979000'>false</font>;
<font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>a.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'><</font> b.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font> <font color='#0000FF'>return</font> <font color='#979000'>true</font>;
<font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>a.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>></font> b.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font> <font color='#0000FF'>return</font> <font color='#979000'>false</font>;
<font color='#0000FF'>else</font> <font color='#0000FF'>return</font> <font color='#979000'>false</font>;
<b>}</b>
<b>}</b>;
<font color='#009900'>/*!
Define std::less<vector<T,2> > so that you can use vector<T,2>s in the associative containers.
!*/</font>
<font color='#0000FF'>template</font><font color='#5555FF'><</font><font color='#0000FF'>typename</font> T<font color='#5555FF'>></font>
<font color='#0000FF'>struct</font> <b><a name='less'></a>less</b><font color='#5555FF'><</font>dlib::vector<font color='#5555FF'><</font>T,<font color='#979000'>2</font><font color='#5555FF'>></font> <font color='#5555FF'>></font> : <font color='#0000FF'>public</font> binary_function<font color='#5555FF'><</font>dlib::vector<font color='#5555FF'><</font>T,<font color='#979000'>2</font><font color='#5555FF'>></font> ,dlib::vector<font color='#5555FF'><</font>T,<font color='#979000'>2</font><font color='#5555FF'>></font> ,<font color='#0000FF'><u>bool</u></font><font color='#5555FF'>></font>
<b>{</b>
<font color='#0000FF'>inline</font> <font color='#0000FF'><u>bool</u></font> <b><a name='operator'></a>operator</b><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font face='Lucida Console'>(</font><font color='#0000FF'>const</font> dlib::vector<font color='#5555FF'><</font>T,<font color='#979000'>2</font><font color='#5555FF'>></font> <font color='#5555FF'>&</font> a, <font color='#0000FF'>const</font> dlib::vector<font color='#5555FF'><</font>T,<font color='#979000'>2</font><font color='#5555FF'>></font> <font color='#5555FF'>&</font> b<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
<b>{</b>
<font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>a.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'><</font> b.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font> <font color='#0000FF'>return</font> <font color='#979000'>true</font>;
<font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>a.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>></font> b.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font> <font color='#0000FF'>return</font> <font color='#979000'>false</font>;
<font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>a.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'><</font> b.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font> <font color='#0000FF'>return</font> <font color='#979000'>true</font>;
<font color='#0000FF'>else</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>a.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>></font> b.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font> <font color='#0000FF'>return</font> <font color='#979000'>false</font>;
<font color='#0000FF'>else</font> <font color='#0000FF'>return</font> <font color='#979000'>false</font>;
<b>}</b>
<b>}</b>;
<b>}</b>
<font color='#0000FF'>#endif</font> <font color='#009900'>// DLIB_VECTOR_ABSTRACT_
</font>
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