/* * ***** BEGIN GPL LICENSE BLOCK ***** * * This program 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. * * This program 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 this program; if not, write to the Free Software Foundation, * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. * * The Original Code is Copyright (C) 2001-2002 by NaN Holding BV. * All rights reserved. * * The Original Code is: all of this file. * * Contributor(s): none yet. * * ***** END GPL LICENSE BLOCK ***** */ /** \file gameengine/Rasterizer/RAS_texmatrix.cpp * \ingroup bgerast */ #include "RAS_TexMatrix.h" void RAS_CalcTexMatrix(RAS_TexVert p[3],MT_Point3& origin,MT_Vector3& udir,MT_Vector3& vdir) { // precondition: 3 vertices are non-colinear MT_Vector3 vec1 = p[1].xyz()-p[0].xyz(); MT_Vector3 vec2 = p[2].xyz()-p[0].xyz(); MT_Vector3 normal = vec1.cross(vec2); normal.normalize(); // determine which coordinate we drop, ie. max coordinate in the normal int ZCOORD = normal.closestAxis(); int XCOORD = (ZCOORD+1)%3; int YCOORD = (ZCOORD+2)%3; // ax+by+cz+d=0 MT_Scalar d = -p[0].xyz().dot(normal); MT_Matrix3x3 mat3( p[0].getUV(0)[0],p[0].getUV(0)[1], 1, p[1].getUV(0)[0],p[1].getUV(0)[1], 1, p[2].getUV(0)[0],p[2].getUV(0)[1], 1); MT_Matrix3x3 mat3inv = mat3.inverse(); MT_Vector3 p123x(p[0].xyz()[XCOORD],p[1].xyz()[XCOORD],p[2].xyz()[XCOORD]); MT_Vector3 resultx = mat3inv*p123x; MT_Vector3 p123y(p[0].xyz()[YCOORD],p[1].xyz()[YCOORD],p[2].xyz()[YCOORD]); MT_Vector3 resulty = mat3inv*p123y; // normal[ZCOORD] is not zero, because it's chosen to be maximal (absolute), and normal has length 1, // so at least on of the coords is <> 0 //droppedvalue udir.dot(normal) =0 MT_Scalar droppedu = -(resultx.x()*normal[XCOORD]+resulty.x()*normal[YCOORD])/normal[ZCOORD]; udir[XCOORD] = resultx.x(); udir[YCOORD] = resulty.x(); udir[ZCOORD] = droppedu; MT_Scalar droppedv = -(resultx.y()*normal[XCOORD]+resulty.y()*normal[YCOORD])/normal[ZCOORD]; vdir[XCOORD] = resultx.y(); vdir[YCOORD] = resulty.y(); vdir[ZCOORD] = droppedv; // droppedvalue b = -(ax+cz+d)/y; MT_Scalar droppedvalue = -((resultx.z()*normal[XCOORD] + resulty.z()*normal[YCOORD]+d))/normal[ZCOORD]; origin[XCOORD] = resultx.z(); origin[YCOORD] = resulty.z(); origin[ZCOORD] = droppedvalue; } #ifdef _TEXOWNMAIN int main() { MT_Point2 puv0={0,0}; MT_Point3 pxyz0 (0,0,128); MT_Scalar puv1[2] = {1,0}; MT_Point3 pxyz1(128,0,128); MT_Scalar puv2[2] = {1,1}; MT_Point3 pxyz2(128,0,0); RAS_TexVert p0(pxyz0,puv0); RAS_TexVert p1(pxyz1,puv1); RAS_TexVert p2(pxyz2,puv2); RAS_TexVert vertices[3] = { p0, p1, p2 }; MT_Vector3 udir,vdir; MT_Point3 origin; CalcTexMatrix(vertices,origin,udir,vdir); MT_Point3 testpoint(128,32,64); MT_Scalar lenu = udir.length2(); MT_Scalar lenv = vdir.length2(); MT_Scalar testu=((pxyz2-origin).dot(udir))/lenu; MT_Scalar testv=((pxyz2-origin).dot(vdir))/lenv; return 0; } #endif // _TEXOWNMAIN