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
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