blob: 5b9479ede510e7c5eff013307430378f79c7cc49 (
plain)
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
|
/* -*- Mode: C++; tab-width: 20; indent-tabs-mode: nil; c-basic-offset: 2 -*-
* This Source Code Form is subject to the terms of the Mozilla Public
* License, v. 2.0. If a copy of the MPL was not distributed with this
* file, You can obtain one at http://mozilla.org/MPL/2.0/. */
#ifndef GFX_LINESEGMENT_H
#define GFX_LINESEGMENT_H
#include "gfxTypes.h"
#include "gfxPoint.h"
struct gfxLineSegment {
gfxLineSegment() : mStart(gfxPoint()), mEnd(gfxPoint()) {}
gfxLineSegment(const gfxPoint& aStart, const gfxPoint& aEnd)
: mStart(aStart), mEnd(aEnd) {}
bool PointsOnSameSide(const gfxPoint& aOne, const gfxPoint& aTwo) {
// Solve the equation
// y - mStart.y - ((mEnd.y - mStart.y)/(mEnd.x - mStart.x))(x - mStart.x)
// for both points
gfxFloat deltaY = (mEnd.y - mStart.y);
gfxFloat deltaX = (mEnd.x - mStart.x);
gfxFloat one = deltaX * (aOne.y - mStart.y) - deltaY * (aOne.x - mStart.x);
gfxFloat two = deltaX * (aTwo.y - mStart.y) - deltaY * (aTwo.x - mStart.x);
// If both results have the same sign, then we're on the correct side of the
// line. 0 (on the line) is always considered in.
if ((one >= 0 && two >= 0) || (one <= 0 && two <= 0)) return true;
return false;
}
/**
* Determines if two line segments intersect, and returns the intersection
* point in aIntersection if they do.
*
* Coincident lines are considered not intersecting as they don't have an
* intersection point.
*/
bool Intersects(const gfxLineSegment& aOther, gfxPoint& aIntersection) {
gfxFloat denominator =
(aOther.mEnd.y - aOther.mStart.y).value * (mEnd.x - mStart.x).value -
(aOther.mEnd.x - aOther.mStart.x).value * (mEnd.y - mStart.y).value;
// Parallel or coincident. We treat coincident as not intersecting since
// these lines are guaranteed to have corners that intersect instead.
if (!denominator) {
return false;
}
gfxFloat anumerator = (aOther.mEnd.x - aOther.mStart.x).value *
(mStart.y - aOther.mStart.y).value -
(aOther.mEnd.y - aOther.mStart.y).value *
(mStart.x - aOther.mStart.x).value;
gfxFloat bnumerator =
(mEnd.x - mStart.x).value * (mStart.y - aOther.mStart.y).value -
(mEnd.y - mStart.y).value * (mStart.x - aOther.mStart.x).value;
gfxFloat ua = anumerator / denominator;
gfxFloat ub = bnumerator / denominator;
if (ua <= 0.0 || ua >= 1.0 || ub <= 0.0 || ub >= 1.0) {
// Intersection is outside of the segment
return false;
}
aIntersection = mStart + (mEnd - mStart) * ua;
return true;
}
gfxPoint mStart;
gfxPoint mEnd;
};
#endif /* GFX_LINESEGMENT_H */
|
