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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