1ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov
2ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov//----------------------------------------------------------------------------
3ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov// XYQ: 2006-01-22 Copied from AGG project.
4ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov// TODO: This file uses intensive floating point operations, so it's NOT suitable
5ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov// for platforms like Symbian OS. We need to change to FIX format.
6ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov//----------------------------------------------------------------------------
7ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov//----------------------------------------------------------------------------
8ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov// Anti-Grain Geometry - Version 2.3
9ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov// Copyright (C) 2002-2005 Maxim Shemanarev (http://www.antigrain.com)
10ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov//
11ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov// Permission to copy, use, modify, sell and distribute this software
12ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov// is granted provided this copyright notice appears in all copies.
13ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov// This software is provided "as is" without express or implied
14ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov// warranty, and with no claim as to its suitability for any purpose.
15ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov//
16ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov//----------------------------------------------------------------------------
17ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov// Contact: mcseem@antigrain.com
18ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov//          mcseemagg@yahoo.com
19ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov//          http://www.antigrain.com
20ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov//----------------------------------------------------------------------------
21ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov#include "../../../../include/fxcrt/fx_basic.h"
22ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov#include "agg_curves.h"
23ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov#include "agg_math.h"
24ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganovnamespace agg
25ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov{
26ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganovconst FX_FLOAT curve_collinearity_epsilon              = 1e-30f;
27ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganovenum curve_recursion_limit_e { curve_recursion_limit = 16 };
28ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganovvoid curve4_div::init(FX_FLOAT x1, FX_FLOAT y1,
29ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                      FX_FLOAT x2, FX_FLOAT y2,
30ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                      FX_FLOAT x3, FX_FLOAT y3,
31ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                      FX_FLOAT x4, FX_FLOAT y4)
32ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov{
33ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    m_points.remove_all();
34ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    m_distance_tolerance_square = 1.0f / 4;
35ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    m_distance_tolerance_manhattan = 1.0f * 4;
36ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    bezier(x1, y1, x2, y2, x3, y3, x4, y4);
37ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    m_count = 0;
38ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov}
39ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganovvoid curve4_div::recursive_bezier(FX_FLOAT x1, FX_FLOAT y1,
40ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                                  FX_FLOAT x2, FX_FLOAT y2,
41ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                                  FX_FLOAT x3, FX_FLOAT y3,
42ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                                  FX_FLOAT x4, FX_FLOAT y4,
43ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                                  unsigned level)
44ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov{
45ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    if(level > curve_recursion_limit) {
46ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov        return;
47ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    }
48ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    FX_FLOAT x12   = (x1 + x2) / 2;
49ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    FX_FLOAT y12   = (y1 + y2) / 2;
50ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    FX_FLOAT x23   = (x2 + x3) / 2;
51ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    FX_FLOAT y23   = (y2 + y3) / 2;
52ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    FX_FLOAT x34   = (x3 + x4) / 2;
53ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    FX_FLOAT y34   = (y3 + y4) / 2;
54ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    FX_FLOAT x123  = (x12 + x23) / 2;
55ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    FX_FLOAT y123  = (y12 + y23) / 2;
56ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    FX_FLOAT x234  = (x23 + x34) / 2;
57ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    FX_FLOAT y234  = (y23 + y34) / 2;
58ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    FX_FLOAT x1234 = (x123 + x234) / 2;
59ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    FX_FLOAT y1234 = (y123 + y234) / 2;
60ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    FX_FLOAT dx = x4 - x1;
61ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    FX_FLOAT dy = y4 - y1;
62ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    FX_FLOAT d2 = FXSYS_fabs(FXSYS_Mul(x2 - x4, dy) - FXSYS_Mul(y2 - y4, dx));
63ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    FX_FLOAT d3 = FXSYS_fabs(FXSYS_Mul(x3 - x4, dy) - FXSYS_Mul(y3 - y4, dx));
64ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    switch((int(d2 > curve_collinearity_epsilon) << 1) +
65ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov            int(d3 > curve_collinearity_epsilon)) {
66ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov        case 0:
67ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov            if(FXSYS_fabs(x1 + x3 - x2 - x2) +
68ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                    FXSYS_fabs(y1 + y3 - y2 - y2) +
69ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                    FXSYS_fabs(x2 + x4 - x3 - x3) +
70ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                    FXSYS_fabs(y2 + y4 - y3 - y3) <= m_distance_tolerance_manhattan) {
71ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                m_points.add(point_type(x1234, y1234, path_flags_jr));
72ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                return;
73ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov            }
74ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov            break;
75ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov        case 1:
76ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov            if(FXSYS_Mul(d3, d3) <= FXSYS_Mul(m_distance_tolerance_square,
77ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                                              FXSYS_Mul(dx, dx) + FXSYS_Mul(dy, dy))) {
78ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                m_points.add(point_type(x23, y23, path_flags_jr));
79ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                return;
80ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov            }
81ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov            break;
82ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov        case 2:
83ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov            if(FXSYS_Mul(d2, d2) <= FXSYS_Mul(m_distance_tolerance_square,
84ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                                              FXSYS_Mul(dx, dx) + FXSYS_Mul(dy, dy))) {
85ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                m_points.add(point_type(x23, y23, path_flags_jr));
86ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                return;
87ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov            }
88ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov            break;
89ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov        case 3:
90ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov            if(FXSYS_Mul(d2 + d3, d2 + d3) <= FXSYS_Mul(m_distance_tolerance_square,
91ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                    FXSYS_Mul(dx, dx) + FXSYS_Mul(dy, dy))) {
92ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                m_points.add(point_type(x23, y23, path_flags_jr));
93ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                return;
94ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov            }
95ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov            break;
96ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    }
97ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    recursive_bezier(x1, y1, x12, y12, x123, y123, x1234, y1234, level + 1);
98ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    recursive_bezier(x1234, y1234, x234, y234, x34, y34, x4, y4, level + 1);
99ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov}
100ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganovvoid curve4_div::bezier(FX_FLOAT x1, FX_FLOAT y1,
101ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                        FX_FLOAT x2, FX_FLOAT y2,
102ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                        FX_FLOAT x3, FX_FLOAT y3,
103ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov                        FX_FLOAT x4, FX_FLOAT y4)
104ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov{
105ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    m_points.add(point_type(x1, y1));
106ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    recursive_bezier(x1, y1, x2, y2, x3, y3, x4, y4, 0);
107ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov    m_points.add(point_type(x4, y4));
108ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov}
109ee451cb395940862dad63c85adfe8f2fd55e864cSvet Ganov}
110