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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 (at) antigrain.com
     18 //          mcseemagg (at) yahoo.com
     19 //          http://www.antigrain.com
     20 //----------------------------------------------------------------------------
     21 
     22 #include "agg_curves.h"
     23 #include "agg_math.h"
     24 
     25 namespace agg
     26 {
     27 const float curve_collinearity_epsilon              = 1e-30f;
     28 enum curve_recursion_limit_e { curve_recursion_limit = 16 };
     29 void curve4_div::init(float x1, float y1,
     30                       float x2, float y2,
     31                       float x3, float y3,
     32                       float x4, float y4)
     33 {
     34     m_points.remove_all();
     35     m_distance_tolerance_square = 1.0f / 4;
     36     m_distance_tolerance_manhattan = 1.0f * 4;
     37     bezier(x1, y1, x2, y2, x3, y3, x4, y4);
     38     m_count = 0;
     39 }
     40 void curve4_div::recursive_bezier(float x1, float y1,
     41                                   float x2, float y2,
     42                                   float x3, float y3,
     43                                   float x4, float y4,
     44                                   unsigned level)
     45 {
     46     if(level > curve_recursion_limit) {
     47         return;
     48     }
     49     float x12   = (x1 + x2) / 2;
     50     float y12   = (y1 + y2) / 2;
     51     float x23   = (x2 + x3) / 2;
     52     float y23   = (y2 + y3) / 2;
     53     float x34   = (x3 + x4) / 2;
     54     float y34   = (y3 + y4) / 2;
     55     float x123  = (x12 + x23) / 2;
     56     float y123  = (y12 + y23) / 2;
     57     float x234  = (x23 + x34) / 2;
     58     float y234  = (y23 + y34) / 2;
     59     float x1234 = (x123 + x234) / 2;
     60     float y1234 = (y123 + y234) / 2;
     61     float dx = x4 - x1;
     62     float dy = y4 - y1;
     63     float d2 = fabs(((x2 - x4) * dy) - ((y2 - y4) * dx));
     64     float d3 = fabs(((x3 - x4) * dy) - ((y3 - y4) * dx));
     65     switch((int(d2 > curve_collinearity_epsilon) << 1) +
     66             int(d3 > curve_collinearity_epsilon)) {
     67         case 0:
     68           if (fabs(x1 + x3 - x2 - x2) + fabs(y1 + y3 - y2 - y2) +
     69                   fabs(x2 + x4 - x3 - x3) + fabs(y2 + y4 - y3 - y3) <=
     70               m_distance_tolerance_manhattan) {
     71             m_points.add(point_type(x1234, y1234, path_flags_jr));
     72             return;
     73             }
     74             break;
     75         case 1:
     76           if ((d3 * d3) <=
     77               (m_distance_tolerance_square * ((dx * dx) + (dy * dy)))) {
     78                 m_points.add(point_type(x23, y23, path_flags_jr));
     79                 return;
     80             }
     81             break;
     82         case 2:
     83           if ((d2 * d2) <=
     84               (m_distance_tolerance_square * ((dx * dx) + (dy * dy)))) {
     85                 m_points.add(point_type(x23, y23, path_flags_jr));
     86                 return;
     87             }
     88             break;
     89         case 3:
     90           if (((d2 + d3) * (d2 + d3)) <=
     91               (m_distance_tolerance_square * ((dx * dx) + (dy * dy)))) {
     92                 m_points.add(point_type(x23, y23, path_flags_jr));
     93                 return;
     94             }
     95             break;
     96     }
     97     recursive_bezier(x1, y1, x12, y12, x123, y123, x1234, y1234, level + 1);
     98     recursive_bezier(x1234, y1234, x234, y234, x34, y34, x4, y4, level + 1);
     99 }
    100 void curve4_div::bezier(float x1, float y1,
    101                         float x2, float y2,
    102                         float x3, float y3,
    103                         float x4, float y4)
    104 {
    105     m_points.add(point_type(x1, y1));
    106     recursive_bezier(x1, y1, x2, y2, x3, y3, x4, y4, 0);
    107     m_points.add(point_type(x4, y4));
    108 }
    109 }
    110