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-/*
- * triples.h -- ePiX::P class
- *
- * 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
- */
-
-/*
- * This file provides:
- *
- * The P class (ordered triple of <double>s) and operators
- *
- * - P(), P() (default to origin), E_1, E_2, E_3 (standard basis)
- * - Vector space operators
- * - Other vector operators, operands (a,b,c), (x,y,z)
- * | dot product ax + by + cz
- * norm(p) = sqrt(p|p)
- * & componentwise product (ax, by, cz)
- * * cross product (bz-cy, cx-az, ay-bx)
- * J rotate (x1,x2,0)-plane 1/4 turn (-b,a,0)
- * % orthogonalization u%v = u - ((u|v)/(v|v))*v
- */
-#ifndef EPIX_TRIPLES
-#define EPIX_TRIPLES
-
-namespace ePiX {
-
- class P {
- public:
- P(double arg1=0, double arg2=0, double arg3=0);
-
- double x1() const;
- double x2() const;
- double x3() const;
-
- bool is_valid() const; // coords not inf or nan
-
- // increment operators
- P& operator += (const P&);
- P& operator -= (const P&);
- P& operator *= (double); // scalar multipication
-
- // cross product
- P& operator *= (const P&);
-
- // componentwise product
- P& operator &= (const P&);
-
- // orthogonalization: u %= v is the vector of the form u-k*v perp to v
- P& operator %= (const P&);
-
- private:
- double m_x1, m_x2, m_x3;
- }; // end of class P
-
-
- // standard basis in global namespace
- const P E_1(1,0,0);
- const P E_2(0,1,0);
- const P E_3(0,0,1);
-
- // vector space operations
- P operator- (P u); // unary negation
- P operator+ (P u, const P& v);
- P operator- (P u, const P& v);
- // scalar multiplication
- P operator* (double c, P v);
-
- // cross product
- P operator* (P, const P&);
- P J(P); // quarter turn about E_3-axis
-
- // dot product
- double operator | (const P&, const P&);
- double norm(const P&);
-
- // componentwise product (a,b,c)&(x,y,z)=(ax,by,cz)
- P operator& (P, const P&);
- // orthogonalization
- P operator% (P, const P&);
-
- // (in)equality
- bool operator == (const P&, const P&);
- bool operator != (const P&, const P&);
-
-} // end of namespace
-
-#endif /* EPIX_TRIPLES */