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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