1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
|
/** @file
* @brief Basic intersection routines
*//*
* Authors:
* Nathan Hurst <njh@njhurst.com>
* Marco Cecchetti <mrcekets at gmail.com>
* Jean-François Barraud <jf.barraud@gmail.com>
*
* Copyright 2008-2009 Authors
*
* This library is free software; you can redistribute it and/or
* modify it either under the terms of the GNU Lesser General Public
* License version 2.1 as published by the Free Software Foundation
* (the "LGPL") or, at your option, under the terms of the Mozilla
* Public License Version 1.1 (the "MPL"). If you do not alter this
* notice, a recipient may use your version of this file under either
* the MPL or the LGPL.
*
* You should have received a copy of the LGPL along with this library
* in the file COPYING-LGPL-2.1; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
* You should have received a copy of the MPL along with this library
* in the file COPYING-MPL-1.1
*
* The contents of this file are subject to the Mozilla Public License
* Version 1.1 (the "License"); you may not use this file except in
* compliance with the License. You may obtain a copy of the License at
* http://www.mozilla.org/MPL/
*
* This software is distributed on an "AS IS" basis, WITHOUT WARRANTY
* OF ANY KIND, either express or implied. See the LGPL or the MPL for
* the specific language governing rights and limitations.
*
*/
#ifndef LIB2GEOM_SEEN_BASIC_INTERSECTION_H
#define LIB2GEOM_SEEN_BASIC_INTERSECTION_H
#include <2geom/point.h>
#include <2geom/bezier.h>
#include <2geom/sbasis.h>
#include <2geom/d2.h>
#include <vector>
#include <utility>
#define USE_RECURSIVE_INTERSECTOR 0
namespace Geom {
void find_intersections(std::vector<std::pair<double, double> > &xs,
D2<Bezier> const &A,
D2<Bezier> const &B,
double precision = EPSILON);
void find_intersections(std::vector<std::pair<double, double> > &xs,
D2<SBasis> const &A,
D2<SBasis> const &B,
double precision = EPSILON);
void find_intersections(std::vector< std::pair<double, double> > &xs,
std::vector<Point> const &A,
std::vector<Point> const &B,
double precision = EPSILON);
void find_self_intersections(std::vector<std::pair<double, double> > &xs,
D2<SBasis> const &A,
double precision = EPSILON);
void find_self_intersections(std::vector<std::pair<double, double> > &xs,
D2<Bezier> const &A,
double precision = EPSILON);
/*
* find_intersection
*
* input: A, B - set of control points of two Bezier curve
* input: precision - required precision of computation
* output: xs - set of pairs of parameter values
* at which crossing happens
*
* This routine is based on the Bezier Clipping Algorithm,
* see: Sederberg, Nishita, 1990 - Curve intersection using Bezier clipping
*/
void find_intersections_bezier_clipping (std::vector< std::pair<double, double> > & xs,
std::vector<Point> const& A,
std::vector<Point> const& B,
double precision = EPSILON);
//#endif
void subdivide(D2<Bezier> const &a,
D2<Bezier> const &b,
std::vector< std::pair<double, double> > const &xs,
std::vector< D2<Bezier> > &av,
std::vector< D2<Bezier> > &bv);
/*
* find_collinear_normal
*
* input: A, B - set of control points of two Bezier curve
* input: precision - required precision of computation
* output: xs - set of pairs of parameter values
* at which there are collinear normals
*
* This routine is based on the Bezier Clipping Algorithm,
* see: Sederberg, Nishita, 1990 - Curve intersection using Bezier clipping
*/
void find_collinear_normal (std::vector< std::pair<double, double> >& xs,
std::vector<Point> const& A,
std::vector<Point> const& B,
double precision = EPSILON);
void polish_intersections(std::vector<std::pair<double, double> > &xs,
D2<SBasis> const &A,
D2<SBasis> const &B);
/**
* Compute the Hausdorf distance from A to B only.
*/
double hausdorfl(D2<SBasis>& A, D2<SBasis> const &B,
double m_precision,
double *a_t=NULL, double *b_t=NULL);
/**
* Compute the symmetric Hausdorf distance.
*/
double hausdorf(D2<SBasis> &A, D2<SBasis> const &B,
double m_precision,
double *a_t=NULL, double *b_t=NULL);
/**
* Check if two line segments intersect. If they are collinear, the result is undefined.
* @return True if line segments AB and CD intersect
*/
bool non_collinear_segments_intersect(const Point &A, const Point &B, const Point &C, const Point &D);
}
#endif // !LIB2GEOM_SEEN_BASIC_INTERSECTION_H
/*
Local Variables:
mode:c++
c-file-style:"stroustrup"
c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +))
indent-tabs-mode:nil
fill-column:99
End:
*/
// vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4:fileencoding=utf-8:textwidth=99 :
|