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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.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'>#ifndef</font> DLIB_VECTOr_H_
	<font color='#0000FF'>#define</font> DLIB_VECTOr_H_

	<font color='#0000FF'>#include</font> <font color='#5555FF'><</font>cmath<font color='#5555FF'>></font>
	<font color='#0000FF'>#include</font> "<a style='text-decoration:none' href='vector_abstract.h.html'>vector_abstract.h</a>"
	<font color='#0000FF'>#include</font> "<a style='text-decoration:none' href='../algs.h.html'>../algs.h</a>"
	<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.h.html'>../matrix/matrix.h</a>"
	<font color='#0000FF'>#include</font> <font color='#5555FF'><</font>limits<font color='#5555FF'>></font>
	<font color='#0000FF'>#include</font> <font color='#5555FF'><</font>array<font color='#5555FF'>></font>

	<font color='#0000FF'>#if</font> defined<font face='Lucida Console'>(</font>_MSC_VER<font face='Lucida Console'>)</font> <font color='#5555FF'>&</font><font color='#5555FF'>&</font> _MSC_VER <font color='#5555FF'><</font> <font color='#979000'>1400</font>
	<font color='#0000FF'>#pragma</font> warning<font face='Lucida Console'>(</font>push<font face='Lucida Console'>)</font>

	<font color='#009900'>// Despite my efforts to disabuse visual studio of its usual nonsense I can't find a
	</font><font color='#009900'>// way to make this warning go away without just disabling it. This is the warning:
	</font><font color='#009900'>// dlib\geometry\vector.h(129) : warning C4805: '==' : unsafe mix of type 'std::numeric_limits<_Ty>::is_integer' and type 'bool' in operation
	</font><font color='#009900'>//
	</font><font color='#0000FF'>#pragma</font> warning<font face='Lucida Console'>(</font>disable:<font color='#979000'>4805</font><font face='Lucida Console'>)</font>
	<font color='#0000FF'>#endif</font>

	<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> vector;

	<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'>typename</font> enabled <font color='#5555FF'>=</font> <font color='#0000FF'><u>void</u></font><font color='#5555FF'>></font>
	<font color='#0000FF'>struct</font> vect_promote;

	<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>bool</u></font> res <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font><font color='#0000FF'>sizeof</font><font face='Lucida Console'>(</font>T<font face='Lucida Console'>)</font> <font color='#5555FF'><</font><font color='#5555FF'>=</font> <font color='#0000FF'>sizeof</font><font face='Lucida Console'>(</font>U<font face='Lucida Console'>)</font><font face='Lucida Console'>)</font><font color='#5555FF'>></font>
	<font color='#0000FF'>struct</font> <b><a name='largest_type'></a>largest_type</b>
	<b>{</b>
	<font color='#0000FF'>typedef</font> T type;
	<b>}</b>;
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> T, <font color='#0000FF'>typename</font> U<font color='#5555FF'>></font>
	<font color='#0000FF'>struct</font> <b><a name='largest_type'></a>largest_type</b><font color='#5555FF'><</font>T,U,<font color='#979000'>true</font><font color='#5555FF'>></font>
	<b>{</b>
	<font color='#0000FF'>typedef</font> U type;
	<b>}</b>;

	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> T, <font color='#0000FF'>typename</font> U<font color='#5555FF'>></font>
	<font color='#0000FF'>struct</font> <b><a name='vect_promote'></a>vect_promote</b><font color='#5555FF'><</font>T,U, <font color='#0000FF'>typename</font> enable_if_c<font color='#5555FF'><</font>std::numeric_limits<font color='#5555FF'><</font>T<font color='#5555FF'>></font>::is_integer <font color='#5555FF'>=</font><font color='#5555FF'>=</font> std::numeric_limits<font color='#5555FF'><</font>U<font color='#5555FF'>></font>::is_integer<font color='#5555FF'>></font>::type<font color='#5555FF'>></font>
	<b>{</b>
	<font color='#009900'>// If both T and U are both either integral or non-integral then just
	</font> <font color='#009900'>// use the biggest one
	</font> <font color='#0000FF'>typedef</font> <font color='#0000FF'>typename</font> largest_type<font color='#5555FF'><</font>T,U<font color='#5555FF'>></font>::type type;
	<b>}</b>;

	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> T, <font color='#0000FF'>typename</font> U<font color='#5555FF'>></font>
	<font color='#0000FF'>struct</font> <b><a name='vect_promote'></a>vect_promote</b><font color='#5555FF'><</font>T,U, <font color='#0000FF'>typename</font> enable_if_c<font color='#5555FF'><</font>std::numeric_limits<font color='#5555FF'><</font>T<font color='#5555FF'>></font>::is_integer <font color='#5555FF'>!</font><font color='#5555FF'>=</font> std::numeric_limits<font color='#5555FF'><</font>U<font color='#5555FF'>></font>::is_integer<font color='#5555FF'>></font>::type<font color='#5555FF'>></font>
	<b>{</b>
	<font color='#0000FF'>typedef</font> <font color='#0000FF'><u>double</u></font> type;
	<b>}</b>;

	<font color='#009900'>// ----------------------------------------------------------------------------------------
	</font>
	<font color='#009900'>// This insanity here is to work around a bug in visual studio 8. These two rebind
	</font> <font color='#009900'>// structures are actually declared at a few points in this file because just having the
	</font> <font color='#009900'>// one declaration here isn't enough for visual studio. It takes the three spread around
	</font> <font color='#009900'>// to avoid all its bugs.
	</font> <font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> T, <font color='#0000FF'><u>long</u></font> N<font color='#5555FF'>></font>
	<font color='#0000FF'>struct</font> <b><a name='vc_rebind'></a>vc_rebind</b>
	<b>{</b>
	<font color='#0000FF'>typedef</font> vector<font color='#5555FF'><</font>T,N<font color='#5555FF'>></font> type;
	<b>}</b>;
	<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> N<font color='#5555FF'>></font>
	<font color='#0000FF'>struct</font> <b><a name='vc_rebind_promote'></a>vc_rebind_promote</b>
	<b>{</b>
	<font color='#0000FF'>typedef</font> vector<font color='#5555FF'><</font><font color='#0000FF'>typename</font> vect_promote<font color='#5555FF'><</font>T,U<font color='#5555FF'>></font>::type,N<font color='#5555FF'>></font> type;
	<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'>typename</font> enabled <font color='#5555FF'>=</font> <font color='#0000FF'><u>void</u></font><font color='#5555FF'>></font>
	<font color='#0000FF'>struct</font> <b><a name='vector_assign_helper'></a>vector_assign_helper</b>
	<b>{</b>
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'><u>long</u></font> NR<font color='#5555FF'>></font>
	<font color='#0000FF'>static</font> <font color='#0000FF'><u>void</u></font> <b><a name='assign'></a>assign</b> <font face='Lucida Console'>(</font>
	vector<font color='#5555FF'><</font>T,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> dest,
	<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>U,NR<font color='#5555FF'>></font><font color='#5555FF'>&</font> src
	<font face='Lucida Console'>)</font>
	<b>{</b>
	dest.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font>src.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	dest.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font>src.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'><u>long</u></font> NR<font color='#5555FF'>></font>
	<font color='#0000FF'>static</font> <font color='#0000FF'><u>void</u></font> <b><a name='assign'></a>assign</b> <font face='Lucida Console'>(</font>
	vector<font color='#5555FF'><</font>T,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> dest,
	<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>U,NR<font color='#5555FF'>></font><font color='#5555FF'>&</font> src
	<font face='Lucida Console'>)</font>
	<b>{</b>
	dest.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font>src.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	dest.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font>src.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	dest.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font>src.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> EXP<font color='#5555FF'>></font>
	<font color='#0000FF'>static</font> <font color='#0000FF'><u>void</u></font> <b><a name='assign'></a>assign</b> <font face='Lucida Console'>(</font>
	vector<font color='#5555FF'><</font>T,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> dest,
	<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>
	<b>{</b>
	T x <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font><font color='#BB00BB'>m</font><font face='Lucida Console'>(</font><font color='#979000'>0</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	T y <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font><font color='#BB00BB'>m</font><font face='Lucida Console'>(</font><font color='#979000'>1</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	dest.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> x;
	dest.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> y;
	<b>}</b>

	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> EXP<font color='#5555FF'>></font>
	<font color='#0000FF'>static</font> <font color='#0000FF'><u>void</u></font> <b><a name='assign'></a>assign</b> <font face='Lucida Console'>(</font>
	vector<font color='#5555FF'><</font>T,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> dest,
	<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>
	<b>{</b>
	T x <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font><font color='#BB00BB'>m</font><font face='Lucida Console'>(</font><font color='#979000'>0</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	T y <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font><font color='#BB00BB'>m</font><font face='Lucida Console'>(</font><font color='#979000'>1</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	T z <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font><font color='#BB00BB'>m</font><font face='Lucida Console'>(</font><font color='#979000'>2</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;

	dest.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> x;
	dest.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> y;
	dest.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> z;
	<b>}</b>
	<b>}</b>;

	<font color='#009900'>// This is an overload for the case where you are converting from a floating point
	</font> <font color='#009900'>// type to an integral type. These overloads make sure values are rounded to
	</font> <font color='#009900'>// the nearest integral value.
	</font> <font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> T, <font color='#0000FF'>typename</font> U<font color='#5555FF'>></font>
	<font color='#0000FF'>struct</font> <b><a name='vector_assign_helper'></a>vector_assign_helper</b><font color='#5555FF'><</font>T,U, <font color='#0000FF'>typename</font> enable_if_c<font color='#5555FF'><</font>std::numeric_limits<font color='#5555FF'><</font>T<font color='#5555FF'>></font>::is_integer <font color='#5555FF'>=</font><font color='#5555FF'>=</font> <font color='#979000'>true</font> <font color='#5555FF'>&</font><font color='#5555FF'>&</font>
	std::numeric_limits<font color='#5555FF'><</font>U<font color='#5555FF'>></font>::is_integer <font color='#5555FF'>=</font><font color='#5555FF'>=</font> <font color='#979000'>false</font><font color='#5555FF'>></font>::type<font color='#5555FF'>></font>
	<b>{</b>
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'><u>long</u></font> NR<font color='#5555FF'>></font>
	<font color='#0000FF'>static</font> <font color='#0000FF'><u>void</u></font> <b><a name='assign'></a>assign</b> <font face='Lucida Console'>(</font>
	vector<font color='#5555FF'><</font>T,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> dest,
	<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>U,NR<font color='#5555FF'>></font><font color='#5555FF'>&</font> src
	<font face='Lucida Console'>)</font>
	<b>{</b>
	dest.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font>std::<font color='#BB00BB'>floor</font><font face='Lucida Console'>(</font>src.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#979000'>0.5</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	dest.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font>std::<font color='#BB00BB'>floor</font><font face='Lucida Console'>(</font>src.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#979000'>0.5</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'><u>long</u></font> NR<font color='#5555FF'>></font>
	<font color='#0000FF'>static</font> <font color='#0000FF'><u>void</u></font> <b><a name='assign'></a>assign</b> <font face='Lucida Console'>(</font>
	vector<font color='#5555FF'><</font>T,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> dest,
	<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>U,NR<font color='#5555FF'>></font><font color='#5555FF'>&</font> src
	<font face='Lucida Console'>)</font>
	<b>{</b>
	dest.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font>std::<font color='#BB00BB'>floor</font><font face='Lucida Console'>(</font>src.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#979000'>0.5</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	dest.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font>std::<font color='#BB00BB'>floor</font><font face='Lucida Console'>(</font>src.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#979000'>0.5</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	dest.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font>std::<font color='#BB00BB'>floor</font><font face='Lucida Console'>(</font>src.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#979000'>0.5</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> EXP<font color='#5555FF'>></font>
	<font color='#0000FF'>static</font> <font color='#0000FF'><u>void</u></font> <b><a name='assign'></a>assign</b> <font face='Lucida Console'>(</font>
	vector<font color='#5555FF'><</font>T,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> dest,
	<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>
	<b>{</b>
	dest.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font>std::<font color='#BB00BB'>floor</font><font face='Lucida Console'>(</font><font color='#BB00BB'>m</font><font face='Lucida Console'>(</font><font color='#979000'>0</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#979000'>0.5</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	dest.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font>std::<font color='#BB00BB'>floor</font><font face='Lucida Console'>(</font><font color='#BB00BB'>m</font><font face='Lucida Console'>(</font><font color='#979000'>1</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#979000'>0.5</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	dest.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font>std::<font color='#BB00BB'>floor</font><font face='Lucida Console'>(</font><font color='#BB00BB'>m</font><font face='Lucida Console'>(</font><font color='#979000'>2</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#979000'>0.5</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> EXP<font color='#5555FF'>></font>
	<font color='#0000FF'>static</font> <font color='#0000FF'><u>void</u></font> <b><a name='assign'></a>assign</b> <font face='Lucida Console'>(</font>
	vector<font color='#5555FF'><</font>T,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> dest,
	<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>
	<b>{</b>
	dest.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font>std::<font color='#BB00BB'>floor</font><font face='Lucida Console'>(</font><font color='#BB00BB'>m</font><font face='Lucida Console'>(</font><font color='#979000'>0</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#979000'>0.5</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	dest.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#0000FF'>static_cast</font><font color='#5555FF'><</font>T<font color='#5555FF'>></font><font face='Lucida Console'>(</font>std::<font color='#BB00BB'>floor</font><font face='Lucida Console'>(</font><font color='#BB00BB'>m</font><font face='Lucida Console'>(</font><font color='#979000'>1</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#979000'>0.5</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<b>}</b>;

	<font color='#009900'>// ----------------------------------------------------------------------------------------
	</font>
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> T<font color='#5555FF'>></font>
	<font color='#0000FF'>class</font> <b><a name='vector'></a>vector</b><font color='#5555FF'><</font>T,<font color='#979000'>3</font><font color='#5555FF'>></font> : <font color='#0000FF'>public</font> matrix<font color='#5555FF'><</font>T,<font color='#979000'>3</font>,<font color='#979000'>1</font><font color='#5555FF'>></font>
	<b>{</b>
	<font color='#009900'>/*!
	INITIAL VALUE
	- x() == 0
	- y() == 0
	- z() == 0

	CONVENTION
	- (*this)(0) == x()
	- (*this)(1) == y()
	- (*this)(2) == z()

	!*/</font>

	<font color='#009900'>// This insanity here is to work around a bug in visual studio 8.
	</font> <font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> V, <font color='#0000FF'><u>long</u></font> N<font color='#5555FF'>></font>
	<font color='#0000FF'>struct</font> <b><a name='vc_rebind'></a>vc_rebind</b>
	<b>{</b>
	<font color='#0000FF'>typedef</font> vector<font color='#5555FF'><</font>V,N<font color='#5555FF'>></font> type;
	<b>}</b>;
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> V, <font color='#0000FF'>typename</font> U, <font color='#0000FF'><u>long</u></font> N<font color='#5555FF'>></font>
	<font color='#0000FF'>struct</font> <b><a name='vc_rebind_promote'></a>vc_rebind_promote</b>
	<b>{</b>
	<font color='#0000FF'>typedef</font> vector<font color='#5555FF'><</font><font color='#0000FF'>typename</font> vect_promote<font color='#5555FF'><</font>V,U<font color='#5555FF'>></font>::type,N<font color='#5555FF'>></font> type;
	<b>}</b>;

	<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>
	<b>{</b>
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#979000'>0</font>;
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#979000'>0</font>;
	<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#979000'>0</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> _x;
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> _y;
	<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> _z;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<b><a name='vector'></a>vector</b> <font face='Lucida Console'>(</font>
	<font color='#0000FF'>const</font> vector<font color='#5555FF'>&</font> item
	<font face='Lucida Console'>)</font> : matrix<font color='#5555FF'><</font>T,<font color='#979000'>3</font>,<font color='#979000'>1</font><font color='#5555FF'>></font><font face='Lucida Console'>(</font>item<font face='Lucida Console'>)</font>
	<b>{</b>
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> U<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,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> item
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#009900'>// Do this so that we get the appropriate rounding depending on the relative
	</font> <font color='#009900'>// type of T and U.
	</font> vector<font color='#5555FF'><</font>T,<font color='#979000'>2</font><font color='#5555FF'>></font> <font color='#BB00BB'>temp</font><font face='Lucida Console'>(</font>item<font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> temp.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> temp.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#979000'>0</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<b><a name='vector'></a>vector</b> <font face='Lucida Console'>(</font>
	<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>
	<b>{</b>
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> item.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> item.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#979000'>0</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> U<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,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> item
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> item;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> m;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> EXP<font color='#5555FF'>></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> matrix_exp<font color='#5555FF'><</font>EXP<font color='#5555FF'>></font><font color='#5555FF'>&</font> m
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#009900'>// you can only assign vectors with 3 elements to a dlib::vector<T,3> object
	</font> <font color='#BB00BB'>COMPILE_TIME_ASSERT</font><font face='Lucida Console'>(</font>EXP::NR<font color='#5555FF'></font>EXP::NC <font color='#5555FF'>=</font><font color='#5555FF'>=</font> <font color='#979000'>3</font> <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> EXP::NR<font color='#5555FF'></font>EXP::NC <font color='#5555FF'>=</font><font color='#5555FF'>=</font> <font color='#979000'>0</font><font face='Lucida Console'>)</font>;

	<font color='#009900'>// make sure requires clause is not broken
	</font> <font color='#BB00BB'>DLIB_ASSERT</font><font face='Lucida Console'>(</font><font face='Lucida Console'>(</font>m.<font color='#BB00BB'>nr</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> <font color='#979000'>1</font> <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> m.<font color='#BB00BB'>nc</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> <font color='#979000'>1</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&</font><font color='#5555FF'>&</font> <font face='Lucida Console'>(</font>m.<font color='#BB00BB'>size</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> <font color='#979000'>3</font><font face='Lucida Console'>)</font>,
	"<font color='#CC0000'>\t vector(const matrix_exp& m)</font>"
	<font color='#5555FF'><</font><font color='#5555FF'><</font> "<font color='#CC0000'>\n\t the given matrix is of the wrong size</font>"
	<font color='#5555FF'><</font><font color='#5555FF'><</font> "<font color='#CC0000'>\n\t m.nr(): </font>" <font color='#5555FF'><</font><font color='#5555FF'><</font> m.<font color='#BB00BB'>nr</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>
	<font color='#5555FF'><</font><font color='#5555FF'><</font> "<font color='#CC0000'>\n\t m.nc(): </font>" <font color='#5555FF'><</font><font color='#5555FF'><</font> m.<font color='#BB00BB'>nc</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>
	<font color='#5555FF'><</font><font color='#5555FF'><</font> "<font color='#CC0000'>\n\t m.size(): </font>" <font color='#5555FF'><</font><font color='#5555FF'><</font> m.<font color='#BB00BB'>size</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>
	<font color='#5555FF'><</font><font color='#5555FF'><</font> "<font color='#CC0000'>\n\t this: </font>" <font color='#5555FF'><</font><font color='#5555FF'><</font> <font color='#0000FF'>this</font>
	<font face='Lucida Console'>)</font>;

	vector_assign_helper<font color='#5555FF'><</font>T, <font color='#0000FF'>typename</font> EXP::type<font color='#5555FF'>></font>::<font color='#BB00BB'>assign</font><font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font>, m<font face='Lucida Console'>)</font>;
	<font color='#0000FF'>return</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> U, <font color='#0000FF'><u>long</u></font> N<font color='#5555FF'>></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>U,N<font color='#5555FF'>></font><font color='#5555FF'>&</font> item
	<font face='Lucida Console'>)</font>
	<b>{</b>
	vector_assign_helper<font color='#5555FF'><</font>T,U<font color='#5555FF'>></font>::<font color='#BB00BB'>assign</font><font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font>, item<font face='Lucida Console'>)</font>;
	<font color='#0000FF'>return</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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> item
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> item.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> item.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> item.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#0000FF'>return</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#0000FF'>return</font> std::<font color='#BB00BB'>sqrt</font><font face='Lucida Console'>(</font><font face='Lucida Console'>(</font><font color='#0000FF'><u>double</u></font><font face='Lucida Console'>)</font><font face='Lucida Console'>(</font><font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font><font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font><font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>*</font><font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#0000FF'>return</font> <font face='Lucida Console'>(</font><font color='#0000FF'><u>double</u></font><font face='Lucida Console'>)</font><font face='Lucida Console'>(</font><font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font><font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font><font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>*</font><font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<font color='#0000FF'>typename</font> vc_rebind<font color='#5555FF'><</font><font color='#0000FF'><u>double</u></font>,<font color='#979000'>3</font><font color='#5555FF'>></font>::type <b><a name='normalize'></a>normalize</b> <font face='Lucida Console'>(</font>
	<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
	<b>{</b>
	<font color='#0000FF'>const</font> <font color='#0000FF'><u>double</u></font> tmp <font color='#5555FF'>=</font> std::<font color='#BB00BB'>sqrt</font><font face='Lucida Console'>(</font><font face='Lucida Console'>(</font><font color='#0000FF'><u>double</u></font><font face='Lucida Console'>)</font><font face='Lucida Console'>(</font><font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font><font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font><font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>*</font><font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	<font color='#0000FF'>return</font> vector<font color='#5555FF'><</font><font color='#0000FF'><u>double</u></font>,<font color='#979000'>3</font><font color='#5555FF'>></font> <font face='Lucida Console'>(</font> <font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>/</font>tmp,
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>/</font>tmp,
	<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>/</font>tmp
	<font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	T<font color='#5555FF'>&</font> <b><a name='x'></a>x</b> <font face='Lucida Console'>(</font>
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>return</font> <font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font><font face='Lucida Console'>)</font><font face='Lucida Console'>(</font><font color='#979000'>0</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	T<font color='#5555FF'>&</font> <b><a name='y'></a>y</b> <font face='Lucida Console'>(</font>
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>return</font> <font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font><font face='Lucida Console'>)</font><font face='Lucida Console'>(</font><font color='#979000'>1</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	T<font color='#5555FF'>&</font> <b><a name='z'></a>z</b> <font face='Lucida Console'>(</font>
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>return</font> <font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font><font face='Lucida Console'>)</font><font face='Lucida Console'>(</font><font color='#979000'>2</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#0000FF'>return</font> <font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font><font face='Lucida Console'>)</font><font face='Lucida Console'>(</font><font color='#979000'>0</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#0000FF'>return</font> <font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font><font face='Lucida Console'>)</font><font face='Lucida Console'>(</font><font color='#979000'>1</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#0000FF'>return</font> <font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font><font face='Lucida Console'>)</font><font face='Lucida Console'>(</font><font color='#979000'>2</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#0000FF'>return</font> <font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>*</font>rhs.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> U, <font color='#0000FF'><u>long</u></font> N<font color='#5555FF'>></font>
	<font color='#0000FF'>typename</font> vect_promote<font color='#5555FF'><</font>T,U<font color='#5555FF'>></font>::type <b><a name='dot'></a>dot</b> <font face='Lucida Console'>(</font>
	<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>U,N<font color='#5555FF'>></font><font color='#5555FF'>&</font> rhs
	<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
	<b>{</b>
	<font color='#0000FF'>return</font> <font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>*</font>rhs.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> U, <font color='#0000FF'><u>long</u></font> N<font color='#5555FF'>></font>
	<font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>3</font><font color='#5555FF'>></font>::type <b><a name='cross'></a>cross</b> <font face='Lucida Console'>(</font>
	<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>U,N<font color='#5555FF'>></font><font color='#5555FF'>&</font> rhs
	<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
	<b>{</b>
	<font color='#0000FF'>typedef</font> vector<font color='#5555FF'><</font><font color='#0000FF'>typename</font> vect_promote<font color='#5555FF'><</font>T,U<font color='#5555FF'>></font>::type,<font color='#979000'>3</font><font color='#5555FF'>></font> ret_type;

	<font color='#0000FF'>return</font> <font color='#BB00BB'>ret_type</font> <font face='Lucida Console'>(</font>
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>rhs.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>-</font> <font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,
	<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>-</font> <font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>rhs.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>-</font> <font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>
	<font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font><font color='#5555FF'>=</font> rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font><font color='#5555FF'>=</font> rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font><font color='#5555FF'>=</font> rhs.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#0000FF'>return</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>-</font><font color='#5555FF'>=</font> rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>-</font><font color='#5555FF'>=</font> rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>-</font><font color='#5555FF'>=</font> rhs.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#0000FF'>return</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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<font color='#5555FF'>&</font> rhs
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>/</font><font color='#5555FF'>=</font> rhs;
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>/</font><font color='#5555FF'>=</font> rhs;
	<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>/</font><font color='#5555FF'>=</font> rhs;
	<font color='#0000FF'>return</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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<font color='#5555FF'>&</font> rhs
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>*</font><font color='#5555FF'>=</font> rhs;
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>*</font><font color='#5555FF'>=</font> rhs;
	<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>*</font><font color='#5555FF'>=</font> rhs;
	<font color='#0000FF'>return</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#0000FF'>return</font> <font color='#BB00BB'>vector</font><font face='Lucida Console'>(</font><font color='#5555FF'>-</font><font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, <font color='#5555FF'>-</font><font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, <font color='#5555FF'>-</font><font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> U<font color='#5555FF'>></font>
	<font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>3</font><font color='#5555FF'>></font>::type <b><a name='operator'></a>operator</b> <font color='#5555FF'>/</font> <font face='Lucida Console'>(</font>
	<font color='#0000FF'>const</font> U<font color='#5555FF'>&</font> val
	<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
	<b>{</b>
	<font color='#0000FF'>typedef</font> vector<font color='#5555FF'><</font><font color='#0000FF'>typename</font> vect_promote<font color='#5555FF'><</font>T,U<font color='#5555FF'>></font>::type,<font color='#979000'>3</font><font color='#5555FF'>></font> ret_type;
	<font color='#0000FF'>return</font> <font color='#BB00BB'>ret_type</font><font face='Lucida Console'>(</font><font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>/</font>val, <font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>/</font>val, <font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>/</font>val<font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#0000FF'>return</font> <font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>=</font><font color='#5555FF'>=</font>rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&</font><font color='#5555FF'>&</font> <font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>=</font><font color='#5555FF'>=</font>rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&</font><font color='#5555FF'>&</font> <font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>=</font><font color='#5555FF'>=</font>rhs.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#0000FF'>return</font> <font color='#5555FF'>!</font><font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> rhs<font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	dlib::<font color='#BB00BB'>exchange</font><font face='Lucida Console'>(</font><font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, item.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	dlib::<font color='#BB00BB'>exchange</font><font face='Lucida Console'>(</font><font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, item.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	dlib::<font color='#BB00BB'>exchange</font><font face='Lucida Console'>(</font><font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, item.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<b>}</b>;

	<font color='#009900'>// ----------------------------------------------------------------------------------------
	</font>
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> T<font color='#5555FF'>></font>
	<font color='#0000FF'>class</font> <b><a name='vector'></a>vector</b><font color='#5555FF'><</font>T,<font color='#979000'>2</font><font color='#5555FF'>></font> : <font color='#0000FF'>public</font> matrix<font color='#5555FF'><</font>T,<font color='#979000'>2</font>,<font color='#979000'>1</font><font color='#5555FF'>></font>
	<b>{</b>
	<font color='#009900'>/*!
	INITIAL VALUE
	- x() == 0
	- y() == 0

	CONVENTION
	- (*this)(0) == x()
	- (*this)(1) == y()
	- z() == 0
	!*/</font>

	<font color='#009900'>// This insanity here is to work around a bug in visual studio 8.
	</font> <font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> V, <font color='#0000FF'><u>long</u></font> N<font color='#5555FF'>></font>
	<font color='#0000FF'>struct</font> <b><a name='vc_rebind'></a>vc_rebind</b>
	<b>{</b>
	<font color='#0000FF'>typedef</font> vector<font color='#5555FF'><</font>V,N<font color='#5555FF'>></font> type;
	<b>}</b>;
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> V, <font color='#0000FF'>typename</font> U, <font color='#0000FF'><u>long</u></font> N<font color='#5555FF'>></font>
	<font color='#0000FF'>struct</font> <b><a name='vc_rebind_promote'></a>vc_rebind_promote</b>
	<b>{</b>
	<font color='#0000FF'>typedef</font> vector<font color='#5555FF'><</font><font color='#0000FF'>typename</font> vect_promote<font color='#5555FF'><</font>V,U<font color='#5555FF'>></font>::type,N<font color='#5555FF'>></font> type;
	<b>}</b>;


	<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>
	<b>{</b>
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#979000'>0</font>;
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#979000'>0</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> _x;
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> _y;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> U<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,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> item
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#009900'>// Do this so that we get the appropriate rounding depending on the relative
	</font> <font color='#009900'>// type of T and U.
	</font> vector<font color='#5555FF'><</font>T,<font color='#979000'>3</font><font color='#5555FF'>></font> <font color='#BB00BB'>temp</font><font face='Lucida Console'>(</font>item<font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> temp.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> temp.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<b><a name='vector'></a>vector</b> <font face='Lucida Console'>(</font>
	<font color='#0000FF'>const</font> vector<font color='#5555FF'>&</font> item
	<font face='Lucida Console'>)</font> : matrix<font color='#5555FF'><</font>T,<font color='#979000'>2</font>,<font color='#979000'>1</font><font color='#5555FF'>></font><font face='Lucida Console'>(</font>item<font face='Lucida Console'>)</font>
	<b>{</b>
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<b><a name='vector'></a>vector</b> <font face='Lucida Console'>(</font>
	<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>
	<b>{</b>
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> item.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> item.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> U<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,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> item
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> item;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> m;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> EXP<font color='#5555FF'>></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> matrix_exp<font color='#5555FF'><</font>EXP<font color='#5555FF'>></font><font color='#5555FF'>&</font> m
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#009900'>// you can only assign vectors with 2 elements to a dlib::vector<T,2> object
	</font> <font color='#BB00BB'>COMPILE_TIME_ASSERT</font><font face='Lucida Console'>(</font>EXP::NR<font color='#5555FF'></font>EXP::NC <font color='#5555FF'>=</font><font color='#5555FF'>=</font> <font color='#979000'>2</font> <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> EXP::NR<font color='#5555FF'></font>EXP::NC <font color='#5555FF'>=</font><font color='#5555FF'>=</font> <font color='#979000'>0</font><font face='Lucida Console'>)</font>;

	<font color='#009900'>// make sure requires clause is not broken
	</font> <font color='#BB00BB'>DLIB_ASSERT</font><font face='Lucida Console'>(</font><font face='Lucida Console'>(</font>m.<font color='#BB00BB'>nr</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> <font color='#979000'>1</font> <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> m.<font color='#BB00BB'>nc</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> <font color='#979000'>1</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&</font><font color='#5555FF'>&</font> <font face='Lucida Console'>(</font>m.<font color='#BB00BB'>size</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> <font color='#979000'>2</font><font face='Lucida Console'>)</font>,
	"<font color='#CC0000'>\t vector(const matrix_exp& m)</font>"
	<font color='#5555FF'><</font><font color='#5555FF'><</font> "<font color='#CC0000'>\n\t the given matrix is of the wrong size</font>"
	<font color='#5555FF'><</font><font color='#5555FF'><</font> "<font color='#CC0000'>\n\t m.nr(): </font>" <font color='#5555FF'><</font><font color='#5555FF'><</font> m.<font color='#BB00BB'>nr</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>
	<font color='#5555FF'><</font><font color='#5555FF'><</font> "<font color='#CC0000'>\n\t m.nc(): </font>" <font color='#5555FF'><</font><font color='#5555FF'><</font> m.<font color='#BB00BB'>nc</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>
	<font color='#5555FF'><</font><font color='#5555FF'><</font> "<font color='#CC0000'>\n\t m.size(): </font>" <font color='#5555FF'><</font><font color='#5555FF'><</font> m.<font color='#BB00BB'>size</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>
	<font color='#5555FF'><</font><font color='#5555FF'><</font> "<font color='#CC0000'>\n\t this: </font>" <font color='#5555FF'><</font><font color='#5555FF'><</font> <font color='#0000FF'>this</font>
	<font face='Lucida Console'>)</font>;

	vector_assign_helper<font color='#5555FF'><</font>T, <font color='#0000FF'>typename</font> EXP::type<font color='#5555FF'>></font>::<font color='#BB00BB'>assign</font><font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font>, m<font face='Lucida Console'>)</font>;
	<font color='#0000FF'>return</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> U, <font color='#0000FF'><u>long</u></font> N<font color='#5555FF'>></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>U,N<font color='#5555FF'>></font><font color='#5555FF'>&</font> item
	<font face='Lucida Console'>)</font>
	<b>{</b>
	vector_assign_helper<font color='#5555FF'><</font>T,U<font color='#5555FF'>></font>::<font color='#BB00BB'>assign</font><font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font>, item<font face='Lucida Console'>)</font>;
	<font color='#0000FF'>return</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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> item
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> item.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> item.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#0000FF'>return</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#0000FF'>return</font> std::<font color='#BB00BB'>sqrt</font><font face='Lucida Console'>(</font><font face='Lucida Console'>(</font><font color='#0000FF'><u>double</u></font><font face='Lucida Console'>)</font><font face='Lucida Console'>(</font><font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font><font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font><font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#0000FF'>return</font> <font face='Lucida Console'>(</font><font color='#0000FF'><u>double</u></font><font face='Lucida Console'>)</font><font face='Lucida Console'>(</font><font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font><font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font><font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<font color='#0000FF'>typename</font> vc_rebind<font color='#5555FF'><</font><font color='#0000FF'><u>double</u></font>,<font color='#979000'>2</font><font color='#5555FF'>></font>::type <b><a name='normalize'></a>normalize</b> <font face='Lucida Console'>(</font>
	<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
	<b>{</b>
	<font color='#0000FF'>const</font> <font color='#0000FF'><u>double</u></font> tmp <font color='#5555FF'>=</font> std::<font color='#BB00BB'>sqrt</font><font face='Lucida Console'>(</font><font face='Lucida Console'>(</font><font color='#0000FF'><u>double</u></font><font face='Lucida Console'>)</font><font face='Lucida Console'>(</font><font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font><font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font><font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	<font color='#0000FF'>return</font> vector<font color='#5555FF'><</font><font color='#0000FF'><u>double</u></font>,<font color='#979000'>2</font><font color='#5555FF'>></font> <font face='Lucida Console'>(</font> <font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>/</font>tmp,
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>/</font>tmp
	<font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	T<font color='#5555FF'>&</font> <b><a name='x'></a>x</b> <font face='Lucida Console'>(</font>
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>return</font> <font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font><font face='Lucida Console'>)</font><font face='Lucida Console'>(</font><font color='#979000'>0</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	T<font color='#5555FF'>&</font> <b><a name='y'></a>y</b> <font face='Lucida Console'>(</font>
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>return</font> <font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font><font face='Lucida Console'>)</font><font face='Lucida Console'>(</font><font color='#979000'>1</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#0000FF'>return</font> <font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font><font face='Lucida Console'>)</font><font face='Lucida Console'>(</font><font color='#979000'>0</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#0000FF'>return</font> <font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font><font face='Lucida Console'>)</font><font face='Lucida Console'>(</font><font color='#979000'>1</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<font color='#0000FF'>const</font> T <b><a name='z'></a>z</b> <font face='Lucida Console'>(</font>
	<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
	<b>{</b>
	<font color='#0000FF'>return</font> <font color='#979000'>0</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#0000FF'>return</font> <font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> U, <font color='#0000FF'><u>long</u></font> N<font color='#5555FF'>></font>
	<font color='#0000FF'>typename</font> vect_promote<font color='#5555FF'><</font>T,U<font color='#5555FF'>></font>::type <b><a name='dot'></a>dot</b> <font face='Lucida Console'>(</font>
	<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>U,N<font color='#5555FF'>></font><font color='#5555FF'>&</font> rhs
	<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
	<b>{</b>
	<font color='#0000FF'>return</font> <font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font> <font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>*</font>rhs.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font><font color='#5555FF'>=</font> rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>+</font><font color='#5555FF'>=</font> rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#0000FF'>return</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>-</font><font color='#5555FF'>=</font> rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>-</font><font color='#5555FF'>=</font> rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<font color='#0000FF'>return</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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<font color='#5555FF'>&</font> rhs
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>/</font><font color='#5555FF'>=</font> rhs;
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>/</font><font color='#5555FF'>=</font> rhs;
	<font color='#0000FF'>return</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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<font color='#5555FF'>&</font> rhs
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>*</font><font color='#5555FF'>=</font> rhs;
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>*</font><font color='#5555FF'>=</font> rhs;
	<font color='#0000FF'>return</font> <font color='#5555FF'>*</font><font color='#0000FF'>this</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#0000FF'>return</font> <font color='#BB00BB'>vector</font><font face='Lucida Console'>(</font><font color='#5555FF'>-</font><font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, <font color='#5555FF'>-</font><font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> U<font color='#5555FF'>></font>
	<font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>2</font><font color='#5555FF'>></font>::type <b><a name='operator'></a>operator</b> <font color='#5555FF'>/</font> <font face='Lucida Console'>(</font>
	<font color='#0000FF'>const</font> U<font color='#5555FF'>&</font> val
	<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
	<b>{</b>
	<font color='#0000FF'>typedef</font> vector<font color='#5555FF'><</font><font color='#0000FF'>typename</font> vect_promote<font color='#5555FF'><</font>T,U<font color='#5555FF'>></font>::type,<font color='#979000'>2</font><font color='#5555FF'>></font> ret_type;
	<font color='#0000FF'>return</font> <font color='#BB00BB'>ret_type</font><font face='Lucida Console'>(</font><font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>/</font>val, <font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>/</font>val<font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#0000FF'>return</font> <font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>=</font><font color='#5555FF'>=</font>rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&</font><font color='#5555FF'>&</font> <font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>=</font><font color='#5555FF'>=</font>rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&</font><font color='#5555FF'>&</font> <font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>=</font><font color='#5555FF'>=</font>rhs.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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> rhs
	<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
	<b>{</b>
	<font color='#0000FF'>return</font> <font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>=</font><font color='#5555FF'>=</font>rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>&</font><font color='#5555FF'>&</font> <font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>=</font><font color='#5555FF'>=</font>rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	<font color='#0000FF'>return</font> <font color='#5555FF'>!</font><font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> rhs<font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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> rhs
	<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
	<b>{</b>
	<font color='#0000FF'>return</font> <font color='#5555FF'>!</font><font face='Lucida Console'>(</font><font color='#5555FF'>*</font><font color='#0000FF'>this</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> rhs<font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</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>
	<b>{</b>
	dlib::<font color='#BB00BB'>exchange</font><font face='Lucida Console'>(</font><font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, item.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	dlib::<font color='#BB00BB'>exchange</font><font face='Lucida Console'>(</font><font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, item.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<font color='#0000FF'>template</font> <font color='#5555FF'><</font><font color='#0000FF'>typename</font> U, <font color='#0000FF'><u>long</u></font> N<font color='#5555FF'>></font>
	<font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>3</font><font color='#5555FF'>></font>::type <b><a name='cross'></a>cross</b> <font face='Lucida Console'>(</font>
	<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>U,N<font color='#5555FF'>></font><font color='#5555FF'>&</font> rhs
	<font face='Lucida Console'>)</font> <font color='#0000FF'>const</font>
	<b>{</b>
	<font color='#0000FF'>typedef</font> vector<font color='#5555FF'><</font><font color='#0000FF'>typename</font> vect_promote<font color='#5555FF'><</font>T,U<font color='#5555FF'>></font>::type,<font color='#979000'>3</font><font color='#5555FF'>></font> ret_type;
	<font color='#0000FF'>return</font> <font color='#BB00BB'>ret_type</font> <font face='Lucida Console'>(</font>
	<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>*</font>rhs.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,
	<font color='#5555FF'>-</font> <font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>*</font>rhs.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,
	<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>-</font> <font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>
	<font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ---------------------------------------
	</font>
	<b>}</b>;

	<font color='#009900'>// ----------------------------------------------------------------------------------------
	</font><font color='#009900'>// ----------------------------------------------------------------------------------------
	</font><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='#5555FF'>></font>
	<font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>2</font><font color='#5555FF'>></font>::type <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,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> lhs,
	<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>U,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> rhs
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>typedef</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>2</font><font color='#5555FF'>></font>::type ret_type;
	<font color='#0000FF'>return</font> <font color='#BB00BB'>ret_type</font><font face='Lucida Console'>(</font>lhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, lhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</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='#5555FF'>></font>
	<font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>3</font><font color='#5555FF'>></font>::type <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,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> lhs,
	<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>U,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> rhs
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>typedef</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>3</font><font color='#5555FF'>></font>::type ret_type;
	<font color='#0000FF'>return</font> <font color='#BB00BB'>ret_type</font><font face='Lucida Console'>(</font>lhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, lhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, lhs.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>rhs.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</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='#5555FF'>></font>
	<font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>3</font><font color='#5555FF'>></font>::type <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,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> lhs,
	<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>U,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> rhs
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>typedef</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>3</font><font color='#5555FF'>></font>::type ret_type;
	<font color='#0000FF'>return</font> <font color='#BB00BB'>ret_type</font><font face='Lucida Console'>(</font>lhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, lhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, rhs.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</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='#5555FF'>></font>
	<font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>3</font><font color='#5555FF'>></font>::type <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,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> lhs,
	<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>U,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> rhs
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>typedef</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>3</font><font color='#5555FF'>></font>::type ret_type;
	<font color='#0000FF'>return</font> <font color='#BB00BB'>ret_type</font><font face='Lucida Console'>(</font>lhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, lhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>+</font>rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, lhs.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ----------------------------------------------------------------------------------------
	</font><font color='#009900'>// ----------------------------------------------------------------------------------------
	</font><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='#5555FF'>></font>
	<font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>2</font><font color='#5555FF'>></font>::type <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,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> lhs,
	<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>U,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> rhs
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>typedef</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>2</font><font color='#5555FF'>></font>::type ret_type;
	<font color='#0000FF'>return</font> <font color='#BB00BB'>ret_type</font><font face='Lucida Console'>(</font>lhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font>rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, lhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font>rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</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='#5555FF'>></font>
	<font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>3</font><font color='#5555FF'>></font>::type <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,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> lhs,
	<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>U,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> rhs
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>typedef</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>3</font><font color='#5555FF'>></font>::type ret_type;
	<font color='#0000FF'>return</font> <font color='#BB00BB'>ret_type</font><font face='Lucida Console'>(</font>lhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font>rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, lhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font>rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, lhs.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font>rhs.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</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='#5555FF'>></font>
	<font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>3</font><font color='#5555FF'>></font>::type <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,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> lhs,
	<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>U,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> rhs
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>typedef</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>3</font><font color='#5555FF'>></font>::type ret_type;
	<font color='#0000FF'>return</font> <font color='#BB00BB'>ret_type</font><font face='Lucida Console'>(</font>lhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font>rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, lhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font>rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, <font color='#5555FF'>-</font>rhs.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</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='#5555FF'>></font>
	<font color='#0000FF'>inline</font> <font color='#0000FF'>const</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>3</font><font color='#5555FF'>></font>::type <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,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> lhs,
	<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>U,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> rhs
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>typedef</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>3</font><font color='#5555FF'>></font>::type ret_type;
	<font color='#0000FF'>return</font> <font color='#BB00BB'>ret_type</font><font face='Lucida Console'>(</font>lhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font>rhs.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, lhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font>rhs.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>, lhs.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<font color='#009900'>// ----------------------------------------------------------------------------------------
	</font><font color='#009900'>// ----------------------------------------------------------------------------------------
	</font><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='#5555FF'>></font>
	<font color='#0000FF'>inline</font> <font color='#0000FF'>typename</font> disable_if<font color='#5555FF'><</font>is_matrix<font color='#5555FF'><</font>U<font color='#5555FF'>></font>, <font color='#0000FF'>const</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>2</font><font color='#5555FF'>></font>::type <font color='#5555FF'>></font>::type <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,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> v,
	<font color='#0000FF'>const</font> U<font color='#5555FF'>&</font> s
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>typedef</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>2</font><font color='#5555FF'>></font>::type ret_type;
	<font color='#0000FF'>return</font> <font color='#BB00BB'>ret_type</font><font face='Lucida Console'>(</font>v.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>s, v.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>s<font face='Lucida Console'>)</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='#5555FF'>></font>
	<font color='#0000FF'>inline</font> <font color='#0000FF'>typename</font> disable_if<font color='#5555FF'><</font>is_matrix<font color='#5555FF'><</font>U<font color='#5555FF'>></font>, <font color='#0000FF'>const</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>2</font><font color='#5555FF'>></font>::type <font color='#5555FF'>></font>::type <b><a name='operator'></a>operator</b><font color='#5555FF'>*</font> <font face='Lucida Console'>(</font>
	<font color='#0000FF'>const</font> U<font color='#5555FF'>&</font> s,
	<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>T,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> v
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>typedef</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>2</font><font color='#5555FF'>></font>::type ret_type;
	<font color='#0000FF'>return</font> <font color='#BB00BB'>ret_type</font><font face='Lucida Console'>(</font>v.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>s, v.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>s<font face='Lucida Console'>)</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='#5555FF'>></font>
	<font color='#0000FF'>inline</font> <font color='#0000FF'>typename</font> disable_if<font color='#5555FF'><</font>is_matrix<font color='#5555FF'><</font>U<font color='#5555FF'>></font>, <font color='#0000FF'>const</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>3</font><font color='#5555FF'>></font>::type <font color='#5555FF'>></font>::type <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,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> v,
	<font color='#0000FF'>const</font> U<font color='#5555FF'>&</font> s
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>typedef</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>3</font><font color='#5555FF'>></font>::type ret_type;
	<font color='#0000FF'>return</font> <font color='#BB00BB'>ret_type</font><font face='Lucida Console'>(</font>v.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>s, v.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>s, v.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>*</font>s<font face='Lucida Console'>)</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='#5555FF'>></font>
	<font color='#0000FF'>inline</font> <font color='#0000FF'>typename</font> disable_if<font color='#5555FF'><</font>is_matrix<font color='#5555FF'><</font>U<font color='#5555FF'>></font>, <font color='#0000FF'>const</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>3</font><font color='#5555FF'>></font>::type <font color='#5555FF'>></font>::type <b><a name='operator'></a>operator</b><font color='#5555FF'>*</font> <font face='Lucida Console'>(</font>
	<font color='#0000FF'>const</font> U<font color='#5555FF'>&</font> s,
	<font color='#0000FF'>const</font> vector<font color='#5555FF'><</font>T,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> v
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>typedef</font> <font color='#0000FF'>typename</font> vc_rebind_promote<font color='#5555FF'><</font>T,U,<font color='#979000'>3</font><font color='#5555FF'>></font>::type ret_type;
	<font color='#0000FF'>return</font> <font color='#BB00BB'>ret_type</font><font face='Lucida Console'>(</font>v.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>s, v.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>s, v.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>*</font>s<font face='Lucida Console'>)</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'><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'>// ----------------------------------------------------------------------------------------
	</font>
	<font color='#0000FF'>template</font><font color='#5555FF'><</font><font color='#0000FF'>typename</font> T<font color='#5555FF'>></font>
	<font color='#0000FF'>inline</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,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> item,
	std::ostream<font color='#5555FF'>&</font> out
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>try</font>
	<b>{</b>
	<font color='#BB00BB'>serialize</font><font face='Lucida Console'>(</font>item.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,out<font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>serialize</font><font face='Lucida Console'>(</font>item.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,out<font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>serialize</font><font face='Lucida Console'>(</font>item.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,out<font face='Lucida Console'>)</font>;
	<b>}</b>
	<font color='#0000FF'>catch</font> <font face='Lucida Console'>(</font>serialization_error<font color='#5555FF'>&</font> e<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>throw</font> <font color='#BB00BB'>serialization_error</font><font face='Lucida Console'>(</font>e.info <font color='#5555FF'>+</font> "<font color='#CC0000'>\n while serializing object of type vector</font>"<font face='Lucida Console'>)</font>;
	<b>}</b>
	<b>}</b>

	<font color='#0000FF'>template</font><font color='#5555FF'><</font><font color='#0000FF'>typename</font> T<font color='#5555FF'>></font>
	<font color='#0000FF'>inline</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,<font color='#979000'>3</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> item,
	std::istream<font color='#5555FF'>&</font> in
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>try</font>
	<b>{</b>
	<font color='#BB00BB'>deserialize</font><font face='Lucida Console'>(</font>item.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,in<font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>deserialize</font><font face='Lucida Console'>(</font>item.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,in<font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>deserialize</font><font face='Lucida Console'>(</font>item.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,in<font face='Lucida Console'>)</font>;
	<b>}</b>
	<font color='#0000FF'>catch</font> <font face='Lucida Console'>(</font>serialization_error<font color='#5555FF'>&</font> e<font face='Lucida Console'>)</font>
	<b>{</b>
	item.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#979000'>0</font>;
	item.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#979000'>0</font>;
	item.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#979000'>0</font>;
	<font color='#0000FF'>throw</font> <font color='#BB00BB'>serialization_error</font><font face='Lucida Console'>(</font>e.info <font color='#5555FF'>+</font> "<font color='#CC0000'>\n while deserializing object of type vector</font>"<font face='Lucida Console'>)</font>;
	<b>}</b>
	<b>}</b>

	<font color='#009900'>// ----------------------------------------------------------------------------------------
	</font>
	<font color='#0000FF'>template</font><font color='#5555FF'><</font><font color='#0000FF'>typename</font> T<font color='#5555FF'>></font>
	<font color='#0000FF'>inline</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,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> item,
	std::ostream<font color='#5555FF'>&</font> out
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>try</font>
	<b>{</b>
	<font color='#BB00BB'>serialize</font><font face='Lucida Console'>(</font>item.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,out<font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>serialize</font><font face='Lucida Console'>(</font>item.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,out<font face='Lucida Console'>)</font>;
	<b>}</b>
	<font color='#0000FF'>catch</font> <font face='Lucida Console'>(</font>serialization_error<font color='#5555FF'>&</font> e<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>throw</font> <font color='#BB00BB'>serialization_error</font><font face='Lucida Console'>(</font>e.info <font color='#5555FF'>+</font> "<font color='#CC0000'>\n while serializing object of type vector</font>"<font face='Lucida Console'>)</font>;
	<b>}</b>
	<b>}</b>

	<font color='#0000FF'>template</font><font color='#5555FF'><</font><font color='#0000FF'>typename</font> T<font color='#5555FF'>></font>
	<font color='#0000FF'>inline</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,<font color='#979000'>2</font><font color='#5555FF'>></font><font color='#5555FF'>&</font> item,
	std::istream<font color='#5555FF'>&</font> in
	<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>try</font>
	<b>{</b>
	<font color='#BB00BB'>deserialize</font><font face='Lucida Console'>(</font>item.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,in<font face='Lucida Console'>)</font>;
	<font color='#BB00BB'>deserialize</font><font face='Lucida Console'>(</font>item.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>,in<font face='Lucida Console'>)</font>;
	<b>}</b>
	<font color='#0000FF'>catch</font> <font face='Lucida Console'>(</font>serialization_error<font color='#5555FF'>&</font> e<font face='Lucida Console'>)</font>
	<b>{</b>
	item.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#979000'>0</font>;
	item.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font> <font color='#979000'>0</font>;
	<font color='#0000FF'>throw</font> <font color='#BB00BB'>serialization_error</font><font face='Lucida Console'>(</font>e.info <font color='#5555FF'>+</font> "<font color='#CC0000'>\n while deserializing object of type vector</font>"<font face='Lucida Console'>)</font>;
	<b>}</b>
	<b>}</b>

	<font color='#009900'>// ----------------------------------------------------------------------------------------
	</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>
	<b>{</b>
	out <font color='#5555FF'><</font><font color='#5555FF'><</font> "<font color='#CC0000'>(</font>" <font color='#5555FF'><</font><font color='#5555FF'><</font> item.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'><</font><font color='#5555FF'><</font> "<font color='#CC0000'>, </font>" <font color='#5555FF'><</font><font color='#5555FF'><</font> item.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'><</font><font color='#5555FF'><</font> "<font color='#CC0000'>, </font>" <font color='#5555FF'><</font><font color='#5555FF'><</font> item.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'><</font><font color='#5555FF'><</font> "<font color='#CC0000'>)</font>";
	<font color='#0000FF'>return</font> out;
	<b>}</b>

	<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>
	<b>{</b>

	<font color='#009900'>// eat all the crap up to the '('
	</font> <font color='#0000FF'>while</font> <font face='Lucida Console'>(</font>in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'> </font>' <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>\t</font>' <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>\r</font>' <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>\n</font>'<font face='Lucida Console'>)</font>
	in.<font color='#BB00BB'>get</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;

	<font color='#009900'>// there should be a '(' if not then this is an error
	</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>in.<font color='#BB00BB'>get</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>!</font><font color='#5555FF'>=</font> '<font color='#FF0000'>(</font>'<font face='Lucida Console'>)</font>
	<b>{</b>
	in.<font color='#BB00BB'>setstate</font><font face='Lucida Console'>(</font>in.<font color='#BB00BB'>rdstate</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>\|</font> std::ios::failbit<font face='Lucida Console'>)</font>;
	<font color='#0000FF'>return</font> in;
	<b>}</b>

	<font color='#009900'>// eat all the crap up to the first number
	</font> <font color='#0000FF'>while</font> <font face='Lucida Console'>(</font>in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'> </font>' <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>\t</font>'<font face='Lucida Console'>)</font>
	in.<font color='#BB00BB'>get</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	in <font color='#5555FF'>></font><font color='#5555FF'>></font> item.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;

	<font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#5555FF'>!</font>in.<font color='#BB00BB'>good</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
	<font color='#0000FF'>return</font> in;

	<font color='#009900'>// eat all the crap up to the next number
	</font> <font color='#0000FF'>while</font> <font face='Lucida Console'>(</font>in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'> </font>' <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>\t</font>' <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>,</font>'<font face='Lucida Console'>)</font>
	in.<font color='#BB00BB'>get</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	in <font color='#5555FF'>></font><font color='#5555FF'>></font> item.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;

	<font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#5555FF'>!</font>in.<font color='#BB00BB'>good</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
	<font color='#0000FF'>return</font> in;

	<font color='#009900'>// eat all the crap up to the next number
	</font> <font color='#0000FF'>while</font> <font face='Lucida Console'>(</font>in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'> </font>' <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>\t</font>' <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>,</font>'<font face='Lucida Console'>)</font>
	in.<font color='#BB00BB'>get</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	in <font color='#5555FF'>></font><font color='#5555FF'>></font> item.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;

	<font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#5555FF'>!</font>in.<font color='#BB00BB'>good</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
	<font color='#0000FF'>return</font> in;

	<font color='#009900'>// eat all the crap up to the ')'
	</font> <font color='#0000FF'>while</font> <font face='Lucida Console'>(</font>in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'> </font>' <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>\t</font>'<font face='Lucida Console'>)</font>
	in.<font color='#BB00BB'>get</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;

	<font color='#009900'>// there should be a ')' if not then this is an error
	</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>in.<font color='#BB00BB'>get</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>!</font><font color='#5555FF'>=</font> '<font color='#FF0000'>)</font>'<font face='Lucida Console'>)</font>
	in.<font color='#BB00BB'>setstate</font><font face='Lucida Console'>(</font>in.<font color='#BB00BB'>rdstate</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>\|</font> std::ios::failbit<font face='Lucida Console'>)</font>;
	<font color='#0000FF'>return</font> in;
	<b>}</b>

	<font color='#009900'>// ----------------------------------------------------------------------------------------
	</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>
	<b>{</b>
	out <font color='#5555FF'><</font><font color='#5555FF'><</font> "<font color='#CC0000'>(</font>" <font color='#5555FF'><</font><font color='#5555FF'><</font> item.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'><</font><font color='#5555FF'><</font> "<font color='#CC0000'>, </font>" <font color='#5555FF'><</font><font color='#5555FF'><</font> item.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'><</font><font color='#5555FF'><</font> "<font color='#CC0000'>)</font>";
	<font color='#0000FF'>return</font> out;
	<b>}</b>

	<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>
	<b>{</b>

	<font color='#009900'>// eat all the crap up to the '('
	</font> <font color='#0000FF'>while</font> <font face='Lucida Console'>(</font>in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'> </font>' <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>\t</font>' <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>\r</font>' <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>\n</font>'<font face='Lucida Console'>)</font>
	in.<font color='#BB00BB'>get</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;

	<font color='#009900'>// there should be a '(' if not then this is an error
	</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>in.<font color='#BB00BB'>get</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>!</font><font color='#5555FF'>=</font> '<font color='#FF0000'>(</font>'<font face='Lucida Console'>)</font>
	<b>{</b>
	in.<font color='#BB00BB'>setstate</font><font face='Lucida Console'>(</font>in.<font color='#BB00BB'>rdstate</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>\|</font> std::ios::failbit<font face='Lucida Console'>)</font>;
	<font color='#0000FF'>return</font> in;
	<b>}</b>

	<font color='#009900'>// eat all the crap up to the first number
	</font> <font color='#0000FF'>while</font> <font face='Lucida Console'>(</font>in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'> </font>' <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>\t</font>'<font face='Lucida Console'>)</font>
	in.<font color='#BB00BB'>get</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	in <font color='#5555FF'>></font><font color='#5555FF'>></font> item.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;

	<font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#5555FF'>!</font>in.<font color='#BB00BB'>good</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
	<font color='#0000FF'>return</font> in;

	<font color='#009900'>// eat all the crap up to the next number
	</font> <font color='#0000FF'>while</font> <font face='Lucida Console'>(</font>in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'> </font>' <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>\t</font>' <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>,</font>'<font face='Lucida Console'>)</font>
	in.<font color='#BB00BB'>get</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	in <font color='#5555FF'>></font><font color='#5555FF'>></font> item.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;

	<font color='#0000FF'>if</font> <font face='Lucida Console'>(</font><font color='#5555FF'>!</font>in.<font color='#BB00BB'>good</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font face='Lucida Console'>)</font>
	<font color='#0000FF'>return</font> in;

	<font color='#009900'>// eat all the crap up to the ')'
	</font> <font color='#0000FF'>while</font> <font face='Lucida Console'>(</font>in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'> </font>' <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> in.<font color='#BB00BB'>peek</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> '<font color='#FF0000'>\t</font>'<font face='Lucida Console'>)</font>
	in.<font color='#BB00BB'>get</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;

	<font color='#009900'>// there should be a ')' if not then this is an error
	</font> <font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>in.<font color='#BB00BB'>get</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>!</font><font color='#5555FF'>=</font> '<font color='#FF0000'>)</font>'<font face='Lucida Console'>)</font>
	in.<font color='#BB00BB'>setstate</font><font face='Lucida Console'>(</font>in.<font color='#BB00BB'>rdstate</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>\|</font> std::ios::failbit<font face='Lucida Console'>)</font>;
	<font color='#0000FF'>return</font> in;
	<b>}</b>

	<font color='#009900'>// ----------------------------------------------------------------------------------------
	</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;
	<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'>inline</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>
	<b>{</b>
	<font color='#0000FF'>auto</font> orientation <font color='#5555FF'>=</font> [<font color='#5555FF'>&</font>]<font face='Lucida Console'>(</font><font color='#0000FF'><u>size_t</u></font> i<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'><u>size_t</u></font> a <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>i<font color='#5555FF'>+</font><font color='#979000'>1</font><font face='Lucida Console'>)</font><font color='#5555FF'>%</font><font color='#979000'>4</font>;
	<font color='#0000FF'><u>size_t</u></font> b <font color='#5555FF'>=</font> <font face='Lucida Console'>(</font>i<font color='#5555FF'>+</font><font color='#979000'>3</font><font face='Lucida Console'>)</font><font color='#5555FF'>%</font><font color='#979000'>4</font>;
	<font color='#0000FF'>return</font> <font face='Lucida Console'>(</font>pts[a]<font color='#5555FF'>-</font>pts[i]<font face='Lucida Console'>)</font>.<font color='#BB00BB'>cross</font><font face='Lucida Console'>(</font>pts[b]<font color='#5555FF'>-</font>pts[i]<font face='Lucida Console'>)</font>.<font color='#BB00BB'>z</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;
	<b>}</b>;

	<font color='#009900'>// If pts has any infinite points then this isn't a valid quadrilateral.
	</font> <font color='#0000FF'>for</font> <font face='Lucida Console'>(</font><font color='#0000FF'>auto</font><font color='#5555FF'>&</font> p : pts<font face='Lucida Console'>)</font>
	<b>{</b>
	<font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>p.<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> std::numeric_limits<font color='#5555FF'><</font><font color='#0000FF'><u>double</u></font><font color='#5555FF'>></font>::<font color='#BB00BB'>infinity</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'>if</font> <font face='Lucida Console'>(</font>p.<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>=</font><font color='#5555FF'>=</font> std::numeric_limits<font color='#5555FF'><</font><font color='#0000FF'><u>double</u></font><font color='#5555FF'>></font>::<font color='#BB00BB'>infinity</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>;
	<b>}</b>

	<font color='#0000FF'><u>double</u></font> s0 <font color='#5555FF'>=</font> <font color='#BB00BB'>orientation</font><font face='Lucida Console'>(</font><font color='#979000'>0</font><font face='Lucida Console'>)</font>;
	<font color='#0000FF'><u>double</u></font> s1 <font color='#5555FF'>=</font> <font color='#BB00BB'>orientation</font><font face='Lucida Console'>(</font><font color='#979000'>1</font><font face='Lucida Console'>)</font>;
	<font color='#0000FF'><u>double</u></font> s2 <font color='#5555FF'>=</font> <font color='#BB00BB'>orientation</font><font face='Lucida Console'>(</font><font color='#979000'>2</font><font face='Lucida Console'>)</font>;
	<font color='#0000FF'><u>double</u></font> s3 <font color='#5555FF'>=</font> <font color='#BB00BB'>orientation</font><font face='Lucida Console'>(</font><font color='#979000'>3</font><font face='Lucida Console'>)</font>;

	<font color='#009900'>// if all these things have the same sign then it's convex.
	</font> <font color='#0000FF'>return</font> <font face='Lucida Console'>(</font>s0<font color='#5555FF'>></font><font color='#979000'>0</font><font color='#5555FF'>&</font><font color='#5555FF'>&</font>s1<font color='#5555FF'>></font><font color='#979000'>0</font><font color='#5555FF'>&</font><font color='#5555FF'>&</font>s2<font color='#5555FF'>></font><font color='#979000'>0</font><font color='#5555FF'>&</font><font color='#5555FF'>&</font>s3<font color='#5555FF'>></font><font color='#979000'>0</font><font face='Lucida Console'>)</font> <font color='#5555FF'>\|</font><font color='#5555FF'>\|</font> <font face='Lucida Console'>(</font>s0<font color='#5555FF'><</font><font color='#979000'>0</font><font color='#5555FF'>&</font><font color='#5555FF'>&</font>s1<font color='#5555FF'><</font><font color='#979000'>0</font><font color='#5555FF'>&</font><font color='#5555FF'>&</font>s2<font color='#5555FF'><</font><font color='#979000'>0</font><font color='#5555FF'>&</font><font color='#5555FF'>&</font>s3<font color='#5555FF'><</font><font color='#979000'>0</font><font face='Lucida Console'>)</font>;
	<b>}</b>

	<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'>inline</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>
	<b>{</b>
	<font color='#0000FF'>if</font> <font face='Lucida Console'>(</font>pts.<font color='#BB00BB'>size</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'><</font><font color='#5555FF'>=</font> <font color='#979000'>2</font><font face='Lucida Console'>)</font>
	<font color='#0000FF'>return</font> <font color='#979000'>0</font>;

	<font color='#0000FF'><u>double</u></font> val <font color='#5555FF'>=</font> <font color='#979000'>0</font>;


	<font color='#0000FF'>for</font> <font face='Lucida Console'>(</font><font color='#0000FF'><u>size_t</u></font> i <font color='#5555FF'>=</font> <font color='#979000'>1</font>; i <font color='#5555FF'><</font> pts.<font color='#BB00BB'>size</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>; <font color='#5555FF'>+</font><font color='#5555FF'>+</font>i<font face='Lucida Console'>)</font>
	val <font color='#5555FF'>+</font><font color='#5555FF'>=</font> <font face='Lucida Console'>(</font><font color='#0000FF'><u>double</u></font><font face='Lucida Console'>)</font>pts[i].<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>pts[i<font color='#5555FF'>-</font><font color='#979000'>1</font>].<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>-</font> pts[i].<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>pts[i<font color='#5555FF'>-</font><font color='#979000'>1</font>].<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;

	<font color='#0000FF'>const</font> <font color='#0000FF'><u>size_t</u></font> end <font color='#5555FF'>=</font> pts.<font color='#BB00BB'>size</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'>-</font><font color='#979000'>1</font>;
	val <font color='#5555FF'>+</font><font color='#5555FF'>=</font> <font face='Lucida Console'>(</font><font color='#0000FF'><u>double</u></font><font face='Lucida Console'>)</font>pts[<font color='#979000'>0</font>].<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>pts[end].<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font> <font color='#5555FF'>-</font> pts[<font color='#979000'>0</font>].<font color='#BB00BB'>y</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font><font color='#5555FF'></font>pts[end].<font color='#BB00BB'>x</font><font face='Lucida Console'>(</font><font face='Lucida Console'>)</font>;

	<font color='#0000FF'>return</font> std::<font color='#BB00BB'>abs</font><font face='Lucida Console'>(</font>val<font face='Lucida Console'>)</font><font color='#5555FF'>/</font><font color='#979000'>2.0</font>;
	<b>}</b>

	<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>
	<b>{</b>
	<font color='#0000FF'>typedef</font> dlib::vector<font color='#5555FF'><</font>T, <font color='#979000'>3</font><font color='#5555FF'>></font> first_argument_type;
	<font color='#0000FF'>typedef</font> dlib::vector<font color='#5555FF'><</font>T, <font color='#979000'>3</font><font color='#5555FF'>></font> second_argument_type;
	<font color='#0000FF'>typedef</font> <font color='#0000FF'><u>bool</u></font> result_type;
	<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>
	<b>{</b>
	<font color='#0000FF'>typedef</font> dlib::vector<font color='#5555FF'><</font>T, <font color='#979000'>2</font><font color='#5555FF'>></font> first_argument_type;
	<font color='#0000FF'>typedef</font> dlib::vector<font color='#5555FF'><</font>T, <font color='#979000'>2</font><font color='#5555FF'>></font> second_argument_type;
	<font color='#0000FF'>typedef</font> <font color='#0000FF'><u>bool</u></font> result_type;
	<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'>#if</font> defined<font face='Lucida Console'>(</font>_MSC_VER<font face='Lucida Console'>)</font> <font color='#5555FF'>&</font><font color='#5555FF'>&</font> _MSC_VER <font color='#5555FF'><</font> <font color='#979000'>1400</font>
	<font color='#009900'>// restore warnings back to their previous settings
	</font><font color='#0000FF'>#pragma</font> warning<font face='Lucida Console'>(</font>pop<font face='Lucida Console'>)</font>
	<font color='#0000FF'>#endif</font>

	<font color='#0000FF'>#endif</font> <font color='#009900'>// DLIB_VECTOr_H_
	</font>

	</pre></body></html>