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/*
* frame.h -- Orthonormal basis
*
* This file is part of ePiX, a preprocessor for creating high-quality
* line figures in LaTeX
*
* Version 1.0.15
* Last Change: October 10, 2006
*/
/*
* Copyright (C) 2001, 2002, 2003, 2004, 2005, 2006
* 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
*/
/*
* In geometry, a "frame" is a right-handed orthonormal basis, that is,
* an ordered set of three mututally perpendicular unit vectors, oriented
* according to the right-hand rule. A frame has nothing to do with
* picture frames.
*
*
* This file provides:
* - the frame class, and routines for rotating a frame about the axes
* determined by its elements. (Note that there are no methods for
* rotating about fixed coordinate axes, and that rotations in R^3 do
* not generally commute.
*/
#ifndef EPIX_FRAME
#define EPIX_FRAME
#include "triples.h"
namespace ePiX {
class frame {
public:
// standard basis
frame();
// Gram-Schmidt
frame(P arg1, P arg2, P arg3); // need args by value
// frame elements
P sea() const;
P sky() const;
P eye() const;
// rotations about frame elements
frame& rot1(double angle);
frame& rot2(double angle);
frame& rot3(double angle);
private:
P m_e1; // sea
P m_e2; // sky
P m_e3; // eye
}; // end of class frame
} // end of namespace
#endif /* EPIX_FRAME */
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