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/*
* pairs.cc -- ePiX pair:: class and mathematical operators
*
* This file is part of ePiX, a C++ library for creating high-quality
* figures in LaTeX
*
* Version 1.1.10
* Last Change: August 04, 2007
*/
/*
* Copyright (C) 2001, 2002, 2003, 2004, 2005, 2006, 2007
* Andrew D. Hwang <rot 13 nujnat at zngupf dot ubylpebff dot rqh>
* Department of Mathematics and Computer Science
* College of the Holy Cross
* Worcester, MA, 01610-2395, USA
*/
/*
* ePiX is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* ePiX is distributed in the hope that it will be useful, but WITHOUT
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
* or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
* License for more details.
*
* You should have received a copy of the GNU General Public License
* along with ePiX; if not, write to the Free Software Foundation, Inc.,
* 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*/
#include <cmath>
#include "constants.h"
#include "triples.h"
#include "pairs.h"
namespace ePiX {
pair::pair(const P& arg)
{
m_x1 = arg.x1();
m_x2 = arg.x2();
}
// unary increment operators
pair& pair::operator += (const pair& arg)
{
m_x1 += arg.m_x1;
m_x2 += arg.m_x2;
return *this;
}
pair& pair::operator -= (const pair& arg)
{
m_x1 -= arg.m_x1;
m_x2 -= arg.m_x2;
return *this;
}
pair& pair::operator *= (double c)
{
m_x1 *= c;
m_x2 *= c;
return *this;
}
// complex multiplication and division
pair& pair::operator *= (const pair& arg)
{
double temp(m_x1);
m_x1 = temp * arg.m_x1 - m_x2 * arg.m_x2;
m_x2 = temp * arg.m_x2 + m_x2 * arg.m_x1;
return *this;
}
pair& pair::operator /= (const pair& arg)
{
double denom = (arg.m_x1)*(arg.m_x1)+(arg.m_x2)*(arg.m_x2);
double temp(m_x1);
m_x1 = (temp * arg.m_x1 + m_x2 * arg.m_x2)/denom;
m_x2 = (m_x2 * arg.m_x1 - temp * arg.m_x2)/denom;
return *this;
}
bool pair::operator== (const pair& u) const
{
return ( fabs(m_x1-u.m_x1) < EPIX_EPSILON
&& fabs(m_x2-u.m_x2) < EPIX_EPSILON );
}
bool pair::operator!= (const pair& u) const
{
return !((*this) == u);
}
// non-member functions
pair operator- (pair u)
{
return u *= -1;
}
pair operator+ (pair u, const pair& v)
{
return u += v;
}
pair operator- (pair u, const pair& v)
{
return u -= v;
}
pair operator* (double c, pair u)
{
return u *= c;
}
// complex arithmetic
pair J(pair p)
{
return p *= pair(0,1);
}
pair operator* (pair u, const pair& v)
{
return u *= v;
}
pair operator/ (pair u, const pair& v)
{
return u /= v;
}
// dot product
double operator| (const pair& u, const pair& v)
{
return u.x1()*v.x1() + u.x2()*v.x2();
}
double norm (const pair& u)
{
return sqrt(u|u);
}
// componentwise product (a,b)&(x,y)=(ax,by)
pair operator& (const pair& u, const pair& v)
{
return pair(u.x1()*v.x1(), u.x2()*v.x2());
}
} // end of namespace
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