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authorNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
committerNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
commite0c6872cf40896c7be36b11dcc744620f10adf1d (patch)
tree60335e10d2f4354b0674ec22d7b53f0f8abee672 /graphics/epix/frame.h
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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 */