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1 
2 //----------------------------------------------------------------------------
3 // Anti-Grain Geometry - Version 2.3
4 // Copyright (C) 2002-2005 Maxim Shemanarev (http://www.antigrain.com)
5 //
6 // Permission to copy, use, modify, sell and distribute this software
7 // is granted provided this copyright notice appears in all copies.
8 // This software is provided "as is" without express or implied
9 // warranty, and with no claim as to its suitability for any purpose.
10 //
11 //----------------------------------------------------------------------------
12 // Contact: mcseem@antigrain.com
13 //          mcseemagg@yahoo.com
14 //          http://www.antigrain.com
15 //----------------------------------------------------------------------------
16 // Bessel function (besj) was adapted for use in AGG library by Andy Wilk
17 // Contact: castor.vulgaris@gmail.com
18 //----------------------------------------------------------------------------
19 #ifndef AGG_MATH_INCLUDED
20 #define AGG_MATH_INCLUDED
21 #include "agg_basics.h"
22 namespace agg
23 {
24 const FX_FLOAT intersection_epsilon = 1.0e-30f;
calc_point_location(FX_FLOAT x1,FX_FLOAT y1,FX_FLOAT x2,FX_FLOAT y2,FX_FLOAT x,FX_FLOAT y)25 AGG_INLINE FX_FLOAT calc_point_location(FX_FLOAT x1, FX_FLOAT y1,
26                                         FX_FLOAT x2, FX_FLOAT y2,
27                                         FX_FLOAT x,  FX_FLOAT y)
28 {
29   return ((x - x2) * (y2 - y1)) - ((y - y2) * (x2 - x1));
30 }
calc_distance(FX_FLOAT x1,FX_FLOAT y1,FX_FLOAT x2,FX_FLOAT y2)31 AGG_INLINE FX_FLOAT calc_distance(FX_FLOAT x1, FX_FLOAT y1, FX_FLOAT x2, FX_FLOAT y2)
32 {
33     FX_FLOAT dx = x2 - x1;
34     FX_FLOAT dy = y2 - y1;
35     return FXSYS_sqrt2(dx, dy);
36 }
calc_line_point_distance(FX_FLOAT x1,FX_FLOAT y1,FX_FLOAT x2,FX_FLOAT y2,FX_FLOAT x,FX_FLOAT y)37 AGG_INLINE FX_FLOAT calc_line_point_distance(FX_FLOAT x1, FX_FLOAT y1,
38         FX_FLOAT x2, FX_FLOAT y2,
39         FX_FLOAT x,  FX_FLOAT y)
40 {
41     FX_FLOAT dx = x2 - x1;
42     FX_FLOAT dy = y2 - y1;
43     FX_FLOAT d = FXSYS_sqrt2(dx, dy);
44     if(d < intersection_epsilon) {
45         return calc_distance(x1, y1, x, y);
46     }
47     return ((x - x2) * dy / d) - ((y - y2) * dx / d);
48 }
calc_intersection(FX_FLOAT ax,FX_FLOAT ay,FX_FLOAT bx,FX_FLOAT by,FX_FLOAT cx,FX_FLOAT cy,FX_FLOAT dx,FX_FLOAT dy,FX_FLOAT * x,FX_FLOAT * y)49 AGG_INLINE bool calc_intersection(FX_FLOAT ax, FX_FLOAT ay, FX_FLOAT bx, FX_FLOAT by,
50                                   FX_FLOAT cx, FX_FLOAT cy, FX_FLOAT dx, FX_FLOAT dy,
51                                   FX_FLOAT* x, FX_FLOAT* y)
52 {
53   FX_FLOAT num = ((ay - cy) * (dx - cx)) - ((ax - cx) * (dy - cy));
54   FX_FLOAT den = ((bx - ax) * (dy - cy)) - ((by - ay) * (dx - cx));
55     if (FXSYS_fabs(den) < intersection_epsilon) {
56         return false;
57     }
58     *x = ax + ((bx - ax) * num / den);
59     *y = ay + ((by - ay) * num / den);
60     return true;
61 }
62 }
63 #endif
64