1 /* -*- Mode: C++; tab-width: 20; indent-tabs-mode: nil; c-basic-offset: 4 -*-
2  * This Source Code Form is subject to the terms of the Mozilla Public
3  * License, v. 2.0. If a copy of the MPL was not distributed with this
4  * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
5 
6 #ifndef GFX_LINESEGMENT_H
7 #define GFX_LINESEGMENT_H
8 
9 #include "gfxTypes.h"
10 #include "gfxPoint.h"
11 
12 struct gfxLineSegment {
gfxLineSegmentgfxLineSegment13   gfxLineSegment(const gfxPoint &aStart, const gfxPoint &aEnd)
14     : mStart(aStart)
15     , mEnd(aEnd)
16   {}
17 
PointsOnSameSidegfxLineSegment18   bool PointsOnSameSide(const gfxPoint& aOne, const gfxPoint& aTwo)
19   {
20     // Solve the equation y - mStart.y - ((mEnd.y - mStart.y)/(mEnd.x - mStart.x))(x - mStart.x) for both points
21 
22     gfxFloat deltaY = (mEnd.y - mStart.y);
23     gfxFloat deltaX = (mEnd.x - mStart.x);
24 
25     gfxFloat one = deltaX * (aOne.y - mStart.y) - deltaY * (aOne.x - mStart.x);
26     gfxFloat two = deltaX * (aTwo.y - mStart.y) - deltaY * (aTwo.x - mStart.x);
27 
28     // If both results have the same sign, then we're on the correct side of the line.
29     // 0 (on the line) is always considered in.
30 
31     if ((one >= 0 && two >= 0) || (one <= 0 && two <= 0))
32       return true;
33     return false;
34   }
35 
36   /**
37    * Determines if two line segments intersect, and returns the intersection
38    * point in aIntersection if they do.
39    *
40    * Coincident lines are considered not intersecting as they don't have an
41    * intersection point.
42    */
IntersectsgfxLineSegment43   bool Intersects(const gfxLineSegment& aOther, gfxPoint& aIntersection)
44   {
45     gfxFloat denominator = (aOther.mEnd.y - aOther.mStart.y) * (mEnd.x - mStart.x ) -
46                            (aOther.mEnd.x - aOther.mStart.x ) * (mEnd.y - mStart.y);
47 
48     // Parallel or coincident. We treat coincident as not intersecting since
49     // these lines are guaranteed to have corners that intersect instead.
50     if (!denominator) {
51       return false;
52     }
53 
54     gfxFloat anumerator = (aOther.mEnd.x - aOther.mStart.x) * (mStart.y - aOther.mStart.y) -
55                          (aOther.mEnd.y - aOther.mStart.y) * (mStart.x - aOther.mStart.x);
56 
57     gfxFloat bnumerator = (mEnd.x - mStart.x) * (mStart.y - aOther.mStart.y) -
58                          (mEnd.y - mStart.y) * (mStart.x - aOther.mStart.x);
59 
60     gfxFloat ua = anumerator / denominator;
61     gfxFloat ub = bnumerator / denominator;
62 
63     if (ua <= 0.0 || ua >= 1.0 ||
64         ub <= 0.0 || ub >= 1.0) {
65       //Intersection is outside of the segment
66       return false;
67     }
68 
69     aIntersection = mStart + (mEnd - mStart) * ua;
70     return true;
71   }
72 
73   gfxPoint mStart;
74   gfxPoint mEnd;
75 };
76 
77 #endif /* GFX_LINESEGMENT_H */
78