bezier.h
00001 /* 00002 Copyright (C) 1998 by Ayal Zwi Pinkus 00003 00004 This library is free software; you can redistribute it and/or 00005 modify it under the terms of the GNU Library General Public 00006 License as published by the Free Software Foundation; either 00007 version 2 of the License, or (at your option) any later version. 00008 00009 This library is distributed in the hope that it will be useful, 00010 but WITHOUT ANY WARRANTY; without even the implied warranty of 00011 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 00012 Library General Public License for more details. 00013 00014 You should have received a copy of the GNU Library General Public 00015 License along with this library; if not, write to the Free 00016 Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. 00017 */ 00018 00019 #ifndef __CS_BEZIER_H__ 00020 #define __CS_BEZIER_H__ 00021 00024 // Cache interface 00027 #define NR1 4 00028 #define NR2 9 00029 #define NR3 16 00030 #define NR4 25 00031 #define NR5 36 00032 #define NR6 49 00033 #define NR7 64 00034 #define NR8 81 00035 #define NR9 100 00036 00037 #define IND1 0 00038 #define IND2 (IND1+NR1) 00039 #define IND3 (IND2+NR2) 00040 #define IND4 (IND3+NR3) 00041 #define IND5 (IND4+NR4) 00042 #define IND6 (IND5+NR5) 00043 #define IND7 (IND6+NR6) 00044 #define IND8 (IND7+NR7) 00045 #define IND9 (IND8+NR8) 00046 #define IND10 (IND9+NR9) 00047 00048 #define OFFSET_1 (IND1 * 9) 00049 #define OFFSET_2 (IND2 * 9) 00050 #define OFFSET_3 (IND3 * 9) 00051 #define OFFSET_4 (IND4 * 9) 00052 #define OFFSET_5 (IND5 * 9) 00053 #define OFFSET_6 (IND6 * 9) 00054 #define OFFSET_7 (IND7 * 9) 00055 #define OFFSET_8 (IND8 * 9) 00056 #define OFFSET_9 (IND9 * 9) 00057 #define OFFSET_10 (IND10 * 9) 00058 00059 #define LUT_SIZE OFFSET_10 // Doubles 00060 00061 class csVector3; 00062 class csVector2; 00063 00064 class csBezier2 00065 { 00066 private: 00067 00068 // binary coefficients for a 2nd degree polynomial 00069 static double bincoeff[3]; 00070 00071 // This should be approx. less than 82K 00072 static double bernsteinMap[LUT_SIZE]; 00073 static double bernsteinDuMap[LUT_SIZE]; 00074 static double bernsteinDvMap[LUT_SIZE]; 00075 static bool initialized; 00076 00077 public: 00078 00080 static void Initialize (); 00081 00083 static double BernsteinAt(double u, int j, double v, int k); 00084 00089 static double BernsteinDuAt(double u, int j, double v, int k); 00090 00095 static double BernsteinDvAt(double u, int j, double v, int k); 00096 00105 static csVector3 GetNormal(double** aControls, int u, 00106 int v, int resolution); 00107 00112 static csVector3 GetNormal(double** aControls, double u, double v); 00113 00119 static csVector3 GetPoint(double** aControls, int u, int v, int resolution, 00120 double *map = NULL); 00121 00127 static csVector2 GetTextureCoord(double** aControls, int u, int v, 00128 int resolution, double *map = NULL); 00129 00134 static csVector3 GetPoint(double** aControls, double u, double v, 00135 double (*func)(double, int, double, int) = NULL ); 00136 }; 00137 00138 #endif // __CS_BEZIER_H__
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