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  1. /**************************************************************************
  2.  *
  3.  * Copyright 2009 VMware, Inc.  All Rights Reserved.
  4.  *
  5.  * Permission is hereby granted, free of charge, to any person obtaining a
  6.  * copy of this software and associated documentation files (the
  7.  * "Software"), to deal in the Software without restriction, including
  8.  * without limitation the rights to use, copy, modify, merge, publish,
  9.  * distribute, sub license, and/or sell copies of the Software, and to
  10.  * permit persons to whom the Software is furnished to do so, subject to
  11.  * the following conditions:
  12.  *
  13.  * The above copyright notice and this permission notice (including the
  14.  * next paragraph) shall be included in all copies or substantial portions
  15.  * of the Software.
  16.  *
  17.  * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
  18.  * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
  19.  * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NON-INFRINGEMENT.
  20.  * IN NO EVENT SHALL VMWARE AND/OR ITS SUPPLIERS BE LIABLE FOR
  21.  * ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
  22.  * TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
  23.  * SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
  24.  *
  25.  **************************************************************************/
  26.  
  27. #ifndef BEZIER_H
  28. #define BEZIER_H
  29.  
  30. struct polygon;
  31. struct matrix;
  32.  
  33. struct bezier {
  34.     float x1, y1;
  35.     float x2, y2;
  36.     float x3, y3;
  37.     float x4, y4;
  38. };
  39.  
  40.  
  41. #define BEZIER_DEFAULT_ERROR 0.01
  42.  
  43. /* kappa as being l of a circle with r = 1, we can emulate any
  44.  * circle of radius r by using the formula
  45.  * l = r . kappa
  46.  * More at:
  47.  * http://www.whizkidtech.redprince.net/bezier/circle/ */
  48. #define KAPPA 0.5522847498
  49.  
  50. void bezier_init(struct bezier *bez,
  51.                  float x1, float y1,
  52.                  float x2, float y2,
  53.                  float x3, float y3,
  54.                  float x4, float y4);
  55.  
  56. struct polygon *bezier_to_polygon(struct bezier *bez);
  57. void bezier_add_to_polygon(const struct bezier *bez,
  58.                            struct polygon *poly);
  59. float bezier_length(struct bezier *bez, float error);
  60. void bezier_transform(struct bezier *bez,
  61.                       struct matrix *mat);
  62.  
  63. int bezier_translate_by_normal(struct bezier *b,
  64.                                struct bezier *curves,
  65.                                int max_curves,
  66.                                float normal_len,
  67.                                float threshold);
  68. void bezier_bounds(const struct bezier *bez,
  69.                    float *bounds/*x/y/width/height*/);
  70. void bezier_exact_bounds(const struct bezier *bez,
  71.                          float *bounds/*x/y/width/height*/);
  72.  
  73. void bezier_start_tangent(const struct bezier *bez,
  74.                           float *tangent);
  75.  
  76. void bezier_point_at_length(struct bezier *bez, float length,
  77.                             float *point, float *normal);
  78. void bezier_point_at_t(struct bezier *bez, float t,
  79.                        float *point, float *normal);
  80.  
  81. #endif
  82.