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1 /*
2  * Copyright 2009 The Android Open Source Project
3  *
4  * Use of this source code is governed by a BSD-style license that can be
5  * found in the LICENSE file.
6  */
7 
8 #include "SkQuadClipper.h"
9 #include "SkGeometry.h"
10 
11 #include <utility>
12 
SkQuadClipper()13 SkQuadClipper::SkQuadClipper() {
14     fClip.setEmpty();
15 }
16 
setClip(const SkIRect & clip)17 void SkQuadClipper::setClip(const SkIRect& clip) {
18     // conver to scalars, since that's where we'll see the points
19     fClip.set(clip);
20 }
21 
22 ///////////////////////////////////////////////////////////////////////////////
23 
chopMonoQuadAt(SkScalar c0,SkScalar c1,SkScalar c2,SkScalar target,SkScalar * t)24 static bool chopMonoQuadAt(SkScalar c0, SkScalar c1, SkScalar c2,
25                            SkScalar target, SkScalar* t) {
26     /* Solve F(t) = y where F(t) := [0](1-t)^2 + 2[1]t(1-t) + [2]t^2
27      *  We solve for t, using quadratic equation, hence we have to rearrange
28      * our cooefficents to look like At^2 + Bt + C
29      */
30     SkScalar A = c0 - c1 - c1 + c2;
31     SkScalar B = 2*(c1 - c0);
32     SkScalar C = c0 - target;
33 
34     SkScalar roots[2];  // we only expect one, but make room for 2 for safety
35     int count = SkFindUnitQuadRoots(A, B, C, roots);
36     if (count) {
37         *t = roots[0];
38         return true;
39     }
40     return false;
41 }
42 
chopMonoQuadAtY(SkPoint pts[3],SkScalar y,SkScalar * t)43 static bool chopMonoQuadAtY(SkPoint pts[3], SkScalar y, SkScalar* t) {
44     return chopMonoQuadAt(pts[0].fY, pts[1].fY, pts[2].fY, y, t);
45 }
46 
47 ///////////////////////////////////////////////////////////////////////////////
48 
49 /*  If we somehow returned the fact that we had to flip the pts in Y, we could
50  communicate that to setQuadratic, and then avoid having to flip it back
51  here (only to have setQuadratic do the flip again)
52  */
clipQuad(const SkPoint srcPts[3],SkPoint dst[3])53 bool SkQuadClipper::clipQuad(const SkPoint srcPts[3], SkPoint dst[3]) {
54     bool reverse;
55 
56     // we need the data to be monotonically increasing in Y
57     if (srcPts[0].fY > srcPts[2].fY) {
58         dst[0] = srcPts[2];
59         dst[1] = srcPts[1];
60         dst[2] = srcPts[0];
61         reverse = true;
62     } else {
63         memcpy(dst, srcPts, 3 * sizeof(SkPoint));
64         reverse = false;
65     }
66 
67     // are we completely above or below
68     const SkScalar ctop = fClip.fTop;
69     const SkScalar cbot = fClip.fBottom;
70     if (dst[2].fY <= ctop || dst[0].fY >= cbot) {
71         return false;
72     }
73 
74     SkScalar t;
75     SkPoint tmp[5]; // for SkChopQuadAt
76 
77     // are we partially above
78     if (dst[0].fY < ctop) {
79         if (chopMonoQuadAtY(dst, ctop, &t)) {
80             // take the 2nd chopped quad
81             SkChopQuadAt(dst, tmp, t);
82             dst[0] = tmp[2];
83             dst[1] = tmp[3];
84         } else {
85             // if chopMonoQuadAtY failed, then we may have hit inexact numerics
86             // so we just clamp against the top
87             for (int i = 0; i < 3; i++) {
88                 if (dst[i].fY < ctop) {
89                     dst[i].fY = ctop;
90                 }
91             }
92         }
93     }
94 
95     // are we partially below
96     if (dst[2].fY > cbot) {
97         if (chopMonoQuadAtY(dst, cbot, &t)) {
98             SkChopQuadAt(dst, tmp, t);
99             dst[1] = tmp[1];
100             dst[2] = tmp[2];
101         } else {
102             // if chopMonoQuadAtY failed, then we may have hit inexact numerics
103             // so we just clamp against the bottom
104             for (int i = 0; i < 3; i++) {
105                 if (dst[i].fY > cbot) {
106                     dst[i].fY = cbot;
107                 }
108             }
109         }
110     }
111 
112     if (reverse) {
113         using std::swap;
114         swap(dst[0], dst[2]);
115     }
116     return true;
117 }
118