#ifndef lint static const char RCSid[] = "$Id: mat4.c,v 2.3 2003/02/22 02:07:22 greg Exp $"; #endif /* * mat4.c - routines dealing with 4 X 4 homogeneous transformation matrices. */ /* ==================================================================== * The Radiance Software License, Version 1.0 * * Copyright (c) 1990 - 2002 The Regents of the University of California, * through Lawrence Berkeley National Laboratory. All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in * the documentation and/or other materials provided with the * distribution. * * 3. The end-user documentation included with the redistribution, * if any, must include the following acknowledgment: * "This product includes Radiance software * (http://radsite.lbl.gov/) * developed by the Lawrence Berkeley National Laboratory * (http://www.lbl.gov/)." * Alternately, this acknowledgment may appear in the software itself, * if and wherever such third-party acknowledgments normally appear. * * 4. The names "Radiance," "Lawrence Berkeley National Laboratory" * and "The Regents of the University of California" must * not be used to endorse or promote products derived from this * software without prior written permission. For written * permission, please contact radiance@radsite.lbl.gov. * * 5. Products derived from this software may not be called "Radiance", * nor may "Radiance" appear in their name, without prior written * permission of Lawrence Berkeley National Laboratory. * * THIS SOFTWARE IS PROVIDED ``AS IS'' AND ANY EXPRESSED OR IMPLIED * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE * DISCLAIMED. IN NO EVENT SHALL Lawrence Berkeley National Laboratory OR * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF * USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT * OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF * SUCH DAMAGE. * ==================================================================== * * This software consists of voluntary contributions made by many * individuals on behalf of Lawrence Berkeley National Laboratory. For more * information on Lawrence Berkeley National Laboratory, please see * . */ #include "mat4.h" MAT4 m4ident = MAT4IDENT; static MAT4 m4tmp; /* for efficiency */ void multmat4(m4a, m4b, m4c) /* multiply m4b X m4c and put into m4a */ MAT4 m4a; register MAT4 m4b, m4c; { register int i, j; for (i = 4; i--; ) for (j = 4; j--; ) m4tmp[i][j] = m4b[i][0]*m4c[0][j] + m4b[i][1]*m4c[1][j] + m4b[i][2]*m4c[2][j] + m4b[i][3]*m4c[3][j]; copymat4(m4a, m4tmp); } void multv3(v3a, v3b, m4) /* transform vector v3b by m4 and put into v3a */ FVECT v3a; register FVECT v3b; register MAT4 m4; { m4tmp[0][0] = v3b[0]*m4[0][0] + v3b[1]*m4[1][0] + v3b[2]*m4[2][0]; m4tmp[0][1] = v3b[0]*m4[0][1] + v3b[1]*m4[1][1] + v3b[2]*m4[2][1]; m4tmp[0][2] = v3b[0]*m4[0][2] + v3b[1]*m4[1][2] + v3b[2]*m4[2][2]; v3a[0] = m4tmp[0][0]; v3a[1] = m4tmp[0][1]; v3a[2] = m4tmp[0][2]; } void multp3(p3a, p3b, m4) /* transform p3b by m4 and put into p3a */ register FVECT p3a; FVECT p3b; register MAT4 m4; { multv3(p3a, p3b, m4); /* transform as vector */ p3a[0] += m4[3][0]; /* translate */ p3a[1] += m4[3][1]; p3a[2] += m4[3][2]; }