1544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin/************************************************************************** 2544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * 3544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * Copyright 2009 VMware, Inc. All Rights Reserved. 4544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * 5544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * Permission is hereby granted, free of charge, to any person obtaining a 6544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * copy of this software and associated documentation files (the 7544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * "Software"), to deal in the Software without restriction, including 8544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * without limitation the rights to use, copy, modify, merge, publish, 9544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * distribute, sub license, and/or sell copies of the Software, and to 10544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * permit persons to whom the Software is furnished to do so, subject to 11544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * the following conditions: 12544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * 13544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * The above copyright notice and this permission notice (including the 14544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * next paragraph) shall be included in all copies or substantial portions 15544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * of the Software. 16544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * 17544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS 18544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF 19544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NON-INFRINGEMENT. 20544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * IN NO EVENT SHALL VMWARE AND/OR ITS SUPPLIERS BE LIABLE FOR 21544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, 22544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE 23544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. 24544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * 25544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin **************************************************************************/ 26544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin 27544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin#ifndef BEZIER_H 28544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin#define BEZIER_H 29544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin 30544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusinstruct polygon; 31544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusinstruct matrix; 32544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin 33544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusinstruct bezier { 34544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin float x1, y1; 35544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin float x2, y2; 36544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin float x3, y3; 37544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin float x4, y4; 38544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin}; 39544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin 40544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin 41544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin#define BEZIER_DEFAULT_ERROR 0.01 42544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin 43544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin/* kappa as being l of a circle with r = 1, we can emulate any 44544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * circle of radius r by using the formula 45544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * l = r . kappa 46544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * More at: 47544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin * http://www.whizkidtech.redprince.net/bezier/circle/ */ 48544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin#define KAPPA 0.5522847498 49544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin 50544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusinvoid bezier_init(struct bezier *bez, 51544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin float x1, float y1, 52544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin float x2, float y2, 53544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin float x3, float y3, 54544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin float x4, float y4); 55544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin 56544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusinstruct polygon *bezier_to_polygon(struct bezier *bez); 57544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusinvoid bezier_add_to_polygon(const struct bezier *bez, 58544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin struct polygon *poly); 59544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusinfloat bezier_length(struct bezier *bez, float error); 60544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusinvoid bezier_transform(struct bezier *bez, 61544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin struct matrix *mat); 62544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin 63544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusinint bezier_translate_by_normal(struct bezier *b, 64544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin struct bezier *curves, 65544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin int max_curves, 66544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin float normal_len, 67544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin float threshold); 68544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusinvoid bezier_bounds(const struct bezier *bez, 69544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin float *bounds/*x/y/width/height*/); 70544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusinvoid bezier_exact_bounds(const struct bezier *bez, 71544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin float *bounds/*x/y/width/height*/); 72544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin 73544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusinvoid bezier_start_tangent(const struct bezier *bez, 74544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin float *tangent); 75544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin 76544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusinvoid bezier_point_at_length(struct bezier *bez, float length, 77544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin float *point, float *normal); 78544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusinvoid bezier_point_at_t(struct bezier *bez, float t, 79544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin float *point, float *normal); 80544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin 81544dd4b11f7be76bb00fe29a60eaf2772dcc69caZack Rusin#endif 82