/* Copyright (C) 1992-1998 The Geometry Center * Copyright (C) 1998-2000 Stuart Levy, Tamara Munzner, Mark Phillips * * This file is part of Geomview. * * Geomview is free software; you can redistribute it and/or modify it * under the terms of the GNU Lesser General Public License as published * by the Free Software Foundation; either version 2, or (at your option) * any later version. * * Geomview 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 * Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General Public * License along with Geomview; see the file COPYING. If not, write * to the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, * USA, or visit http://www.gnu.org. */ #if HAVE_CONFIG_H # include "config.h" #endif #if 0 static char copyright[] = "Copyright (C) 1992-1998 The Geometry Center\n\ Copyright (C) 1998-2000 Stuart Levy, Tamara Munzner, Mark Phillips"; #endif /* routines for making sure matrix is orthogonal in Minkowski metric */ #include "3d.h" /* row-orthogonalize an isometry of Minkowski space */ void tuneup(Transform m1, int metric) { HPt3SpaceNormalize((HPoint3 *)m1[0], metric); HPt3SpaceGramSchmidt((HPoint3 *)m1[0], (HPoint3 *)m1[1], metric); HPt3SpaceNormalize((HPoint3 *)m1[1], metric); HPt3SpaceGramSchmidt((HPoint3 *)m1[0], (HPoint3 *)m1[2], metric); HPt3SpaceGramSchmidt((HPoint3 *)m1[1], (HPoint3 *)m1[2], metric); HPt3SpaceNormalize((HPoint3 *)m1[2], metric); HPt3SpaceGramSchmidt((HPoint3 *)m1[0], (HPoint3 *)m1[3], metric); HPt3SpaceGramSchmidt((HPoint3 *)m1[1], (HPoint3 *)m1[3], metric); HPt3SpaceGramSchmidt((HPoint3 *)m1[2], (HPoint3 *)m1[3], metric); HPt3SpaceNormalize((HPoint3 *)m1[3], metric); } /* following only works now with hyperbolic mode */ int needstuneup(Transform m1) { int i,j; float d; for (i=0; i<4; ++i) for (j=i; j<4; ++j) { d = m1[i][0] * m1[j][0] + m1[i][1] * m1[j][1] + m1[i][2] * m1[j][2] - m1[i][3] * m1[j][3]; if (i == 3) d *= -1; if (fabs ( d - ( i == j ) ) > .01 ) return (1); } return (0); }