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1 /*
2  * Copyright 2012 Google Inc.
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 #include "PathOpsTestCommon.h"
8 #include "SkIntersections.h"
9 #include "SkPathOpsCubic.h"
10 #include "SkPathOpsLine.h"
11 #include "SkReduceOrder.h"
12 #include "Test.h"
13 
14 struct lineCubic {
15     CubicPts cubic;
16     SkDLine line;
17 };
18 
19 static lineCubic failLineCubicTests[] = {
20     {{{{37.5273438,-1.44140625}, {37.8736992,-1.69921875}, {38.1640625,-2.140625},
21             {38.3984375,-2.765625}}},
22             {{{40.625,-5.7890625}, {37.7109375,1.3515625}}}},
23 };
24 
25 static const size_t failLineCubicTests_count = SK_ARRAY_COUNT(failLineCubicTests);
26 
testFail(skiatest::Reporter * reporter,int iIndex)27 static void testFail(skiatest::Reporter* reporter, int iIndex) {
28     const CubicPts& cuPts = failLineCubicTests[iIndex].cubic;
29     SkDCubic cubic;
30     cubic.debugSet(cuPts.fPts);
31     SkASSERT(ValidCubic(cubic));
32     const SkDLine& line = failLineCubicTests[iIndex].line;
33     SkASSERT(ValidLine(line));
34     SkReduceOrder reduce1;
35     SkReduceOrder reduce2;
36     int order1 = reduce1.reduce(cubic, SkReduceOrder::kNo_Quadratics);
37     int order2 = reduce2.reduce(line);
38     if (order1 < 4) {
39         SkDebugf("[%d] cubic order=%d\n", iIndex, order1);
40         REPORTER_ASSERT(reporter, 0);
41     }
42     if (order2 < 2) {
43         SkDebugf("[%d] line order=%d\n", iIndex, order2);
44         REPORTER_ASSERT(reporter, 0);
45     }
46     if (order1 == 4 && order2 == 2) {
47         SkIntersections i;
48         int roots = i.intersect(cubic, line);
49         REPORTER_ASSERT(reporter, roots == 0);
50     }
51 }
52 
53 static lineCubic lineCubicTests[] = {
54     {{{{0, 6}, {1.0851458311080933, 4.3722810745239258}, {1.5815209150314331, 3.038947582244873}, {1.9683018922805786, 1.9999997615814209}}},
55      {{{3,2}, {1,2}}}},
56 
57     {{{{0.468027353,4}, {1.06734705,1.33333337}, {1.36700678,0}, {3,0}}},
58     {{{2,1}, {0,1}}}},
59 
60     {{{{-634.60540771484375, -481.262939453125}, {266.2696533203125, -752.70867919921875},
61             {-751.8370361328125, -317.37921142578125}, {-969.7427978515625, 824.7255859375}}},
62             {{{-287.9506133720805678, -557.1376476615772617},
63             {-285.9506133720805678, -557.1376476615772617}}}},
64 
65     {{{{36.7184372,0.888650894}, {36.7184372,0.888650894}, {35.1233864,0.554015458},
66             {34.5114098,-0.115255356}}}, {{{35.4531212,0}, {31.9375,0}}}},
67 
68     {{{{421, 378}, {421, 380.209137f}, {418.761414f, 382}, {416, 382}}},
69             {{{320, 378}, {421, 378.000031f}}}},
70 
71     {{{{416, 383}, {418.761414f, 383}, {421, 380.761414f}, {421, 378}}},
72             {{{320, 378}, {421, 378.000031f}}}},
73 
74     {{{{154,715}, {151.238571,715}, {149,712.761414}, {149,710}}},
75             {{{149,675}, {149,710.001465}}}},
76 
77     {{{{0,1}, {1,6}, {4,1}, {4,3}}},
78             {{{6,1}, {1,4}}}},
79 
80     {{{{0,1}, {2,6}, {4,1}, {5,4}}},
81             {{{6,2}, {1,4}}}},
82 
83     {{{{0,4}, {3,4}, {6,2}, {5,2}}},
84             {{{4,3}, {2,6}}}},
85 #if 0
86     {{{{258, 122}, {260.761414, 122}, { 263, 124.238579}, {263, 127}}},
87             {{{259.82843, 125.17157}, {261.535522, 123.46447}}}},
88 #endif
89     {{{{1006.6951293945312,291}, {1023.263671875,291}, {1033.8402099609375,304.43145751953125},
90             {1030.318359375,321}}},
91             {{{979.30487060546875,561}, {1036.695068359375,291}}}},
92     {{{{259.30487060546875,561}, {242.73631286621094,561}, {232.15980529785156,547.56854248046875},
93             {235.68154907226562,531}}},
94             {{{286.69512939453125,291}, {229.30485534667969,561}}}},
95     {{{{1, 2}, {2, 6}, {2, 0}, {1, 0}}}, {{{1, 0}, {1, 2}}}},
96     {{{{0, 0}, {0, 1}, {0, 1}, {1, 1}}}, {{{0, 1}, {1, 0}}}},
97 };
98 
99 static const size_t lineCubicTests_count = SK_ARRAY_COUNT(lineCubicTests);
100 
doIntersect(SkIntersections & intersections,const SkDCubic & cubic,const SkDLine & line)101 static int doIntersect(SkIntersections& intersections, const SkDCubic& cubic, const SkDLine& line) {
102     int result;
103     bool flipped = false;
104     if (line[0].fX == line[1].fX) {
105         double top = line[0].fY;
106         double bottom = line[1].fY;
107         flipped = top > bottom;
108         if (flipped) {
109             SkTSwap<double>(top, bottom);
110         }
111         result = intersections.vertical(cubic, top, bottom, line[0].fX, flipped);
112     } else if (line[0].fY == line[1].fY) {
113         double left = line[0].fX;
114         double right = line[1].fX;
115         flipped = left > right;
116         if (flipped) {
117             SkTSwap<double>(left, right);
118         }
119         result = intersections.horizontal(cubic, left, right, line[0].fY, flipped);
120     } else {
121         intersections.intersect(cubic, line);
122         result = intersections.used();
123     }
124     return result;
125 }
126 
testOne(skiatest::Reporter * reporter,int iIndex)127 static void testOne(skiatest::Reporter* reporter, int iIndex) {
128     const CubicPts& cuPts = lineCubicTests[iIndex].cubic;
129     SkDCubic cubic;
130     cubic.debugSet(cuPts.fPts);
131     SkASSERT(ValidCubic(cubic));
132     const SkDLine& line = lineCubicTests[iIndex].line;
133     SkASSERT(ValidLine(line));
134     SkReduceOrder reduce1;
135     SkReduceOrder reduce2;
136     int order1 = reduce1.reduce(cubic, SkReduceOrder::kNo_Quadratics);
137     int order2 = reduce2.reduce(line);
138     if (order1 < 4) {
139         SkDebugf("[%d] cubic order=%d\n", iIndex, order1);
140         REPORTER_ASSERT(reporter, 0);
141     }
142     if (order2 < 2) {
143         SkDebugf("[%d] line order=%d\n", iIndex, order2);
144         REPORTER_ASSERT(reporter, 0);
145     }
146     if (order1 == 4 && order2 == 2) {
147         SkIntersections i;
148         int roots = doIntersect(i, cubic, line);
149         for (int pt = 0; pt < roots; ++pt) {
150             double tt1 = i[0][pt];
151             SkDPoint xy1 = cubic.ptAtT(tt1);
152             double tt2 = i[1][pt];
153             SkDPoint xy2 = line.ptAtT(tt2);
154             if (!xy1.approximatelyEqual(xy2)) {
155                 SkDebugf("%s [%d,%d] x!= t1=%g (%g,%g) t2=%g (%g,%g)\n",
156                     __FUNCTION__, iIndex, pt, tt1, xy1.fX, xy1.fY, tt2, xy2.fX, xy2.fY);
157             }
158             REPORTER_ASSERT(reporter, xy1.approximatelyEqual(xy2));
159         }
160 #if ONE_OFF_DEBUG
161         double cubicT = i[0][0];
162         SkDPoint prev = cubic.ptAtT(cubicT * 2 - 1);
163         SkDPoint sect = cubic.ptAtT(cubicT);
164         SkDebugf("{{%1.9g,%1.9g}, {%1.9g,%1.9g}},\n", prev.fX, prev.fY, sect.fX, sect.fY);
165         SkDebugf("{{%1.9g,%1.9g}, {%1.9g,%1.9g}},\n", sect.fX, sect.fY, cubic[3].fX, cubic[3].fY);
166         SkDPoint prevL = line.ptAtT(i[1][0] - 0.0000007);
167         SkDebugf("{{%1.9g,%1.9g}, {%1.9g,%1.9g}},\n", prevL.fX, prevL.fY, i.pt(0).fX, i.pt(0).fY);
168         SkDPoint nextL = line.ptAtT(i[1][0] + 0.0000007);
169         SkDebugf("{{%1.9g,%1.9g}, {%1.9g,%1.9g}},\n", i.pt(0).fX, i.pt(0).fY, nextL.fX, nextL.fY);
170         SkDebugf("prevD=%1.9g dist=%1.9g nextD=%1.9g\n", prev.distance(nextL),
171                 sect.distance(i.pt(0)), cubic[3].distance(prevL));
172 #endif
173     }
174 }
175 
DEF_TEST(PathOpsFailCubicLineIntersection,reporter)176 DEF_TEST(PathOpsFailCubicLineIntersection, reporter) {
177     for (size_t index = 0; index < failLineCubicTests_count; ++index) {
178         int iIndex = static_cast<int>(index);
179         testFail(reporter, iIndex);
180         reporter->bumpTestCount();
181     }
182 }
183 
DEF_TEST(PathOpsCubicLineIntersection,reporter)184 DEF_TEST(PathOpsCubicLineIntersection, reporter) {
185     for (size_t index = 0; index < lineCubicTests_count; ++index) {
186         int iIndex = static_cast<int>(index);
187         testOne(reporter, iIndex);
188         reporter->bumpTestCount();
189     }
190 }
191 
DEF_TEST(PathOpsCubicLineIntersectionOneOff,reporter)192 DEF_TEST(PathOpsCubicLineIntersectionOneOff, reporter) {
193     int iIndex = 0;
194     testOne(reporter, iIndex);
195     const CubicPts& cuPts = lineCubicTests[iIndex].cubic;
196     SkDCubic cubic;
197     cubic.debugSet(cuPts.fPts);
198     const SkDLine& line = lineCubicTests[iIndex].line;
199     SkIntersections i;
200     i.intersect(cubic, line);
201     SkASSERT(i.used() == 1);
202 }
203