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1 
2 //----------------------------------------------------------------------------
3 // XYQ: 2006-01-22 Copied from AGG project.
4 // TODO: This file uses intensive floating point operations, so it's NOT suitable
5 // for platforms like Symbian OS. We need to change to FIX format.
6 //----------------------------------------------------------------------------
7 //----------------------------------------------------------------------------
8 // Anti-Grain Geometry - Version 2.3
9 // Copyright (C) 2002-2005 Maxim Shemanarev (http://www.antigrain.com)
10 //
11 // Permission to copy, use, modify, sell and distribute this software
12 // is granted provided this copyright notice appears in all copies.
13 // This software is provided "as is" without express or implied
14 // warranty, and with no claim as to its suitability for any purpose.
15 //
16 //----------------------------------------------------------------------------
17 // Contact: mcseem@antigrain.com
18 //          mcseemagg@yahoo.com
19 //          http://www.antigrain.com
20 //----------------------------------------------------------------------------
21 
22 #include "agg_curves.h"
23 #include "agg_math.h"
24 #include "core/fxcrt/fx_basic.h"
25 
26 namespace agg
27 {
28 const FX_FLOAT curve_collinearity_epsilon              = 1e-30f;
29 enum curve_recursion_limit_e { curve_recursion_limit = 16 };
init(FX_FLOAT x1,FX_FLOAT y1,FX_FLOAT x2,FX_FLOAT y2,FX_FLOAT x3,FX_FLOAT y3,FX_FLOAT x4,FX_FLOAT y4)30 void curve4_div::init(FX_FLOAT x1, FX_FLOAT y1,
31                       FX_FLOAT x2, FX_FLOAT y2,
32                       FX_FLOAT x3, FX_FLOAT y3,
33                       FX_FLOAT x4, FX_FLOAT y4)
34 {
35     m_points.remove_all();
36     m_distance_tolerance_square = 1.0f / 4;
37     m_distance_tolerance_manhattan = 1.0f * 4;
38     bezier(x1, y1, x2, y2, x3, y3, x4, y4);
39     m_count = 0;
40 }
recursive_bezier(FX_FLOAT x1,FX_FLOAT y1,FX_FLOAT x2,FX_FLOAT y2,FX_FLOAT x3,FX_FLOAT y3,FX_FLOAT x4,FX_FLOAT y4,unsigned level)41 void curve4_div::recursive_bezier(FX_FLOAT x1, FX_FLOAT y1,
42                                   FX_FLOAT x2, FX_FLOAT y2,
43                                   FX_FLOAT x3, FX_FLOAT y3,
44                                   FX_FLOAT x4, FX_FLOAT y4,
45                                   unsigned level)
46 {
47     if(level > curve_recursion_limit) {
48         return;
49     }
50     FX_FLOAT x12   = (x1 + x2) / 2;
51     FX_FLOAT y12   = (y1 + y2) / 2;
52     FX_FLOAT x23   = (x2 + x3) / 2;
53     FX_FLOAT y23   = (y2 + y3) / 2;
54     FX_FLOAT x34   = (x3 + x4) / 2;
55     FX_FLOAT y34   = (y3 + y4) / 2;
56     FX_FLOAT x123  = (x12 + x23) / 2;
57     FX_FLOAT y123  = (y12 + y23) / 2;
58     FX_FLOAT x234  = (x23 + x34) / 2;
59     FX_FLOAT y234  = (y23 + y34) / 2;
60     FX_FLOAT x1234 = (x123 + x234) / 2;
61     FX_FLOAT y1234 = (y123 + y234) / 2;
62     FX_FLOAT dx = x4 - x1;
63     FX_FLOAT dy = y4 - y1;
64     FX_FLOAT d2 = FXSYS_fabs(((x2 - x4) * dy) - ((y2 - y4) * dx));
65     FX_FLOAT d3 = FXSYS_fabs(((x3 - x4) * dy) - ((y3 - y4) * dx));
66     switch((int(d2 > curve_collinearity_epsilon) << 1) +
67             int(d3 > curve_collinearity_epsilon)) {
68         case 0:
69             if(FXSYS_fabs(x1 + x3 - x2 - x2) +
70                     FXSYS_fabs(y1 + y3 - y2 - y2) +
71                     FXSYS_fabs(x2 + x4 - x3 - x3) +
72                     FXSYS_fabs(y2 + y4 - y3 - y3) <= m_distance_tolerance_manhattan) {
73                 m_points.add(point_type(x1234, y1234, path_flags_jr));
74                 return;
75             }
76             break;
77         case 1:
78           if ((d3 * d3) <=
79               (m_distance_tolerance_square * ((dx * dx) + (dy * dy)))) {
80                 m_points.add(point_type(x23, y23, path_flags_jr));
81                 return;
82             }
83             break;
84         case 2:
85           if ((d2 * d2) <=
86               (m_distance_tolerance_square * ((dx * dx) + (dy * dy)))) {
87                 m_points.add(point_type(x23, y23, path_flags_jr));
88                 return;
89             }
90             break;
91         case 3:
92           if (((d2 + d3) * (d2 + d3)) <=
93               (m_distance_tolerance_square * ((dx * dx) + (dy * dy)))) {
94                 m_points.add(point_type(x23, y23, path_flags_jr));
95                 return;
96             }
97             break;
98     }
99     recursive_bezier(x1, y1, x12, y12, x123, y123, x1234, y1234, level + 1);
100     recursive_bezier(x1234, y1234, x234, y234, x34, y34, x4, y4, level + 1);
101 }
bezier(FX_FLOAT x1,FX_FLOAT y1,FX_FLOAT x2,FX_FLOAT y2,FX_FLOAT x3,FX_FLOAT y3,FX_FLOAT x4,FX_FLOAT y4)102 void curve4_div::bezier(FX_FLOAT x1, FX_FLOAT y1,
103                         FX_FLOAT x2, FX_FLOAT y2,
104                         FX_FLOAT x3, FX_FLOAT y3,
105                         FX_FLOAT x4, FX_FLOAT y4)
106 {
107     m_points.add(point_type(x1, y1));
108     recursive_bezier(x1, y1, x2, y2, x3, y3, x4, y4, 0);
109     m_points.add(point_type(x4, y4));
110 }
111 }
112