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 "include/core/SkPoint.h"
8 #include "include/core/SkScalar.h"
9 #include "include/core/SkTypes.h"
10 #include "include/private/base/SkDebug.h"
11 #include "src/core/SkGeometry.h"
12 #include "src/pathops/SkIntersections.h"
13 #include "src/pathops/SkPathOpsCubic.h"
14 #include "src/pathops/SkPathOpsDebug.h"
15 #include "src/pathops/SkPathOpsPoint.h"
16 #include "src/pathops/SkPathOpsRect.h"
17 #include "src/pathops/SkPathOpsTypes.h"
18 #include "src/pathops/SkReduceOrder.h"
19 #include "tests/PathOpsCubicIntersectionTestData.h"
20 #include "tests/PathOpsTestCommon.h"
21 #include "tests/Test.h"
22
23 #include <array>
24 #include <cstdlib>
25
26 using namespace PathOpsCubicIntersectionTestData;
27
28 static constexpr int kFirstCubicIntersectionTest = 9;
29
standardTestCases(skiatest::Reporter * reporter)30 static void standardTestCases(skiatest::Reporter* reporter) {
31 for (size_t index = kFirstCubicIntersectionTest; index < tests_count; ++index) {
32 int iIndex = static_cast<int>(index);
33 const CubicPts& cubic1 = tests[index][0];
34 const CubicPts& cubic2 = tests[index][1];
35 SkDCubic c1, c2;
36 c1.debugSet(cubic1.fPts);
37 c2.debugSet(cubic2.fPts);
38 SkReduceOrder reduce1, reduce2;
39 int order1 = reduce1.reduce(c1, SkReduceOrder::kNo_Quadratics);
40 int order2 = reduce2.reduce(c2, SkReduceOrder::kNo_Quadratics);
41 const bool showSkipped = false;
42 if (order1 < 4) {
43 if (showSkipped) {
44 SkDebugf("%s [%d] cubic1 order=%d\n", __FUNCTION__, iIndex, order1);
45 }
46 continue;
47 }
48 if (order2 < 4) {
49 if (showSkipped) {
50 SkDebugf("%s [%d] cubic2 order=%d\n", __FUNCTION__, iIndex, order2);
51 }
52 continue;
53 }
54 SkIntersections tIntersections;
55 tIntersections.intersect(c1, c2);
56 if (!tIntersections.used()) {
57 if (showSkipped) {
58 SkDebugf("%s [%d] no intersection\n", __FUNCTION__, iIndex);
59 }
60 continue;
61 }
62 if (tIntersections.isCoincident(0)) {
63 if (showSkipped) {
64 SkDebugf("%s [%d] coincident\n", __FUNCTION__, iIndex);
65 }
66 continue;
67 }
68 for (int pt = 0; pt < tIntersections.used(); ++pt) {
69 double tt1 = tIntersections[0][pt];
70 SkDPoint xy1 = c1.ptAtT(tt1);
71 double tt2 = tIntersections[1][pt];
72 SkDPoint xy2 = c2.ptAtT(tt2);
73 if (!xy1.approximatelyEqual(xy2)) {
74 SkDebugf("%s [%d,%d] x!= t1=%g (%g,%g) t2=%g (%g,%g)\n",
75 __FUNCTION__, (int)index, pt, tt1, xy1.fX, xy1.fY, tt2, xy2.fX, xy2.fY);
76 }
77 REPORTER_ASSERT(reporter, xy1.approximatelyEqual(xy2));
78 }
79 reporter->bumpTestCount();
80 }
81 }
82
83 static const CubicPts testSet[] = {
84 // FIXME: uncommenting these two will cause this to fail
85 // this results in two curves very nearly but not exactly coincident
86 #if 0
87 {{{67.426548091427676, 37.993772624988935}, {23.483695892376684, 90.476863174921306},
88 {35.597065061143162, 79.872482633158796}, {75.38634169631932, 18.244890038969412}}},
89 {{{67.4265481, 37.9937726}, {23.4836959, 90.4768632}, {35.5970651, 79.8724826},
90 {75.3863417, 18.24489}}},
91 #endif
92
93 {{{0, 0}, {0, 1}, {1, 1}, {1, 0}}},
94 {{{1, 0}, {0, 0}, {0, 1}, {1, 1}}},
95
96 {{{0, 1}, {4, 5}, {1, 0}, {5, 3}}},
97 {{{0, 1}, {3, 5}, {1, 0}, {5, 4}}},
98
99 {{{0, 1}, {1, 6}, {1, 0}, {1, 0}}},
100 {{{0, 1}, {0, 1}, {1, 0}, {6, 1}}},
101
102 {{{0, 1}, {3, 4}, {1, 0}, {5, 1}}},
103 {{{0, 1}, {1, 5}, {1, 0}, {4, 3}}},
104
105 {{{0, 1}, {1, 2}, {1, 0}, {6, 1}}},
106 {{{0, 1}, {1, 6}, {1, 0}, {2, 1}}},
107
108 {{{0, 1}, {0, 5}, {1, 0}, {4, 0}}},
109 {{{0, 1}, {0, 4}, {1, 0}, {5, 0}}},
110
111 {{{0, 1}, {3, 4}, {1, 0}, {3, 0}}},
112 {{{0, 1}, {0, 3}, {1, 0}, {4, 3}}},
113
114 {{{0, 0}, {1, 2}, {3, 4}, {4, 4}}},
115 {{{0, 0}, {1, 2}, {3, 4}, {4, 4}}},
116 {{{4, 4}, {3, 4}, {1, 2}, {0, 0}}},
117
118 {{{0, 1}, {2, 3}, {1, 0}, {1, 0}}},
119 {{{0, 1}, {0, 1}, {1, 0}, {3, 2}}},
120
121 {{{0, 2}, {0, 1}, {1, 0}, {1, 0}}},
122 {{{0, 1}, {0, 1}, {2, 0}, {1, 0}}},
123
124 {{{0, 1}, {0, 2}, {1, 0}, {1, 0}}},
125 {{{0, 1}, {0, 1}, {1, 0}, {2, 0}}},
126
127 {{{0, 1}, {1, 6}, {1, 0}, {2, 0}}},
128 {{{0, 1}, {0, 2}, {1, 0}, {6, 1}}},
129
130 {{{0, 1}, {5, 6}, {1, 0}, {1, 0}}},
131 {{{0, 1}, {0, 1}, {1, 0}, {6, 5}}},
132
133 {{{95.837747722788592, 45.025976907939643}, {16.564570095652982, 0.72959763963222402},
134 {63.209855865319199, 68.047528419665767}, {57.640240647662544, 59.524565264361243}}},
135 {{{51.593891741518817, 38.53849970667553}, {62.34752929878772, 74.924924725166022},
136 {74.810149322641152, 34.17966562983564}, {29.368398119401373, 94.66719277886078}}},
137
138 {{{39.765160968417838, 33.060396198677083}, {5.1922921581157908, 66.854301452103215},
139 {31.619281802149157, 25.269248720849514}, {81.541621071073038, 70.025341524754353}}},
140 {{{46.078911165743556, 48.259962651999651}, {20.24450549867214, 49.403916182650214},
141 {0.26325131778756683, 24.46489805563581}, {15.915006546264051, 83.515023059917155}}},
142
143 {{{65.454505973241524, 93.881892270353575}, {45.867360264932437, 92.723972719499827},
144 {2.1464054482739447, 74.636369140183717}, {33.774068594804994, 40.770872887582925}}},
145 {{{72.963387832494163, 95.659300729473728}, {11.809496633619768, 82.209921247423594},
146 {13.456139067865974, 57.329313623406605}, {36.060621606214262, 70.867335643091849}}},
147
148 {{{32.484981432782945, 75.082940782924624}, {42.467313093350882, 48.131159948246157},
149 {3.5963115764764657, 43.208665839959245}, {79.442476890721579, 89.709102357602262}}},
150 {{{18.98573861410177, 93.308887208490106}, {40.405250173250792, 91.039661826118675},
151 {8.0467721950480584, 42.100282172719147}, {40.883324221187891, 26.030185504830527}}},
152
153 {{{7.5374809128872498, 82.441702896003477}, {22.444346930107265, 22.138854312775123},
154 {66.76091829629658, 50.753805856571446}, {78.193478508942519, 97.7932997968948}}},
155 {{{97.700573130371311, 53.53260215070685}, {87.72443481149358, 84.575876772671876},
156 {19.215031396232092, 47.032676472809484}, {11.989686410869325, 10.659507480757082}}},
157
158 {{{26.192053931854691, 9.8504326817814416}, {10.174241480498686, 98.476562741434464},
159 {21.177712558385782, 33.814968789841501}, {75.329030899018534, 55.02231980442177}}},
160 {{{56.222082700683771, 24.54395039218662}, {95.589995289030483, 81.050822735322086},
161 {28.180450866082897, 28.837706255185282}, {60.128952916771617, 87.311672180570511}}},
162
163 {{{42.449716172390481, 52.379709366885805}, {27.896043159019225, 48.797373636065686},
164 {92.770268299044233, 89.899302036454571}, {12.102066544863426, 99.43241951960718}}},
165 {{{45.77532924980639, 45.958701495993274}, {37.458701356062065, 68.393691335056758},
166 {37.569326692060258, 27.673713456687381}, {60.674866037757539, 62.47349659096146}}},
167
168 {{{67.426548091427676, 37.993772624988935}, {23.483695892376684, 90.476863174921306},
169 {35.597065061143162, 79.872482633158796}, {75.38634169631932, 18.244890038969412}}},
170 {{{61.336508189019057, 82.693132843213675}, {44.639380902349664, 54.074825790745592},
171 {16.815615499771951, 20.049704667203923}, {41.866884958868326, 56.735503699973002}}},
172
173 {{{18.1312339, 31.6473732}, {95.5711034, 63.5350219}, {92.3283165, 62.0158945},
174 {18.5656052, 32.1268808}}},
175 {{{97.402018, 35.7169972}, {33.1127443, 25.8935163}, {1.13970027, 54.9424981},
176 {56.4860195, 60.529264}}},
177 };
178
179 const int testSetCount = (int) std::size(testSet);
180
181 static const CubicPts newTestSet[] = {
182
183 { { { 130.0427549999999997, 11417.41309999999976 },{ 130.2331240000000037, 11418.3192999999992 },{ 131.0370790000000056, 11419 },{ 132, 11419 } } },
184 { { { 132, 11419 },{ 130.8954319999999996, 11419 },{ 130, 11418.10449999999946 },{ 130, 11417 } } },
185
186 {{{1,3}, {-1.0564518,1.79032254}, {1.45265341,0.229448318}, {1.45381773,0.22913377}}},
187 {{{1.45381773,0.22913377}, {1.45425761,0.229014933}, {1.0967741,0.451612949}, {0,1}}},
188
189 {{{1.64551306f, 3.57876182f}, {0.298127174f, 3.70454836f}, {-0.809808373f, 6.39524937f}, {-3.66666651f, 13.333334f}}},
190 {{{1, 2}, {1, 2}, {-3.66666651f, 13.333334f}, {5, 6}}},
191
192 {{{0.0660428554,1.65340209}, {-0.251940489,1.43560803}, {-0.782382965,-0.196299091}, {3.33333325,-0.666666627}}},
193 {{{1,3}, {-1.22353387,1.09411383}, {0.319867611,0.12996155}, {0.886705518,0.107543148}}},
194
195 {{{-0.13654758,2.10514426}, {-0.585797966,1.89349782}, {-0.807703257,-0.192306399}, {6,-1}}},
196 {{{1,4}, {-2.25000453,1.42241001}, {1.1314013,0.0505309105}, {1.87140274,0.0363764353}}},
197
198 {{{1.3127951622009277, 2.0637707710266113}, {1.8210518360137939, 1.9148571491241455}, {1.6106204986572266, -0.68700540065765381}, {8.5, -2.5}}},
199 {{{3, 4}, {0.33333325386047363, 1.3333332538604736}, {3.6666667461395264, -0.66666674613952637}, {3.6666665077209473, -0.66666656732559204}}},
200
201 {{{980.026001,1481.276}, {980.026001,1481.276}, {980.02594,1481.27576}, {980.025879,1481.27527}}},
202 {{{980.025879,1481.27527}, {980.025452,1481.27222}, {980.023743,1481.26038}, {980.02179,1481.24072}}},
203
204 {{{1.80943513,3.07782435}, {1.66686702,2.16806936}, {1.68301272,0}, {3,0}}},
205 {{{0,1}, {0,3}, {3,2}, {5,2}}},
206
207 {{{3.4386673,2.66977954}, {4.06668949,2.17046738}, {4.78887367,1.59629118}, {6,2}}},
208 {{{1.71985495,3.49467373}, {2.11620402,2.7201426}, {2.91897964,1.15138781}, {6,3}}},
209
210 {{{0,1}, {0.392703831,1.78540766}, {0.219947904,2.05676103}, {0.218561709,2.05630541}}},
211 {{{0.218561709,2.05630541}, {0.216418028,2.05560064}, {0.624105453,1.40486407}, {4.16666651,1.00000012}}},
212
213 {{{0, 1}, {3, 5}, {2, 1}, {3, 1}}},
214 {{{1.01366711f, 2.21379328f}, {1.09074128f, 2.23241305f}, {1.60246587f, 0.451849401f}, {5, 3}}},
215
216 {{{0, 1}, {0.541499972f, 3.16599989f}, {1.08299994f, 2.69299984f}, {2.10083938f, 1.80391729f}}},
217 {{{0.806384504f, 2.85426903f}, {1.52740121f, 1.99355423f}, {2.81689167f, 0.454222918f}, {5, 1}}},
218
219 {{{0, 1}, {1.90192389f, 2.90192389f}, {2.59807634f, 2.79422879f}, {3.1076951f, 2.71539044f}}},
220 {{{2, 3}, {2.36602545f, 3.36602545f}, {2.330127f, 3.06217766f}, {2.28460979f, 2.67691422f}}},
221
222 {{{0, 1}, {1.90192389f, 2.90192389f}, {2.59807634f, 2.79422879f}, {3.1076951f, 2.71539044f}}},
223 {{{2.28460979f, 2.67691422f}, {2.20577145f, 2.00961876f}, {2.09807634f, 1.09807622f}, {4, 3}}},
224
225 {{{0, 1}, {0.8211091160774231, 2.0948121547698975}, {0.91805583238601685, 2.515404224395752}, {0.91621249914169312, 2.5146586894989014}}},
226 {{{0.91621249914169312, 2.5146586894989014}, {0.91132104396820068, 2.5126807689666748}, {0.21079301834106445, -0.45617169141769409}, {10.5, -1.6666665077209473}}},
227
228 {{{42.6237564,68.9841232}, {32.449646,81.963089}, {14.7713947,103.565269}, {12.6310005,105.247002}}},
229 {{{37.2640038,95.3540039}, {37.2640038,95.3540039}, {11.3710003,83.7339935}, {-25.0779991,124.912003}}},
230
231 {{{0,1}, {4,5}, {6,0}, {1,0}}},
232 {{{0,6}, {0,1}, {1,0}, {5,4}}},
233
234 {{{0,1}, {4,6}, {5,1}, {6,2}}},
235 {{{1,5}, {2,6}, {1,0}, {6,4}}},
236
237 {{{322, 896.04803466796875}, {314.09201049804687, 833.4376220703125}, {260.24713134765625, 785}, {195, 785}}},
238 {{{195, 785}, {265.14016723632812, 785}, {322, 842.30755615234375}, {322, 913}}},
239
240 {{{1, 4}, {4, 5}, {3, 2}, {6, 3}}},
241 {{{2, 3}, {3, 6}, {4, 1}, {5, 4}}},
242
243 {{{67, 913}, {67, 917.388916015625}, {67.224380493164063, 921.72576904296875}, {67.662384033203125, 926}}},
244 {{{194, 1041}, {123.85984039306641, 1041}, {67, 983.69244384765625}, {67, 913}}},
245
246 {{{1,4}, {1,5}, {6,0}, {5,1}}},
247 {{{0,6}, {1,5}, {4,1}, {5,1}}},
248
249 {{{0,1}, {4,5}, {6,0}, {1,0}}},
250 {{{0,6}, {0,1}, {1,0}, {5,4}}},
251
252 {{{0,1}, {4,6}, {2,0}, {2,0}}},
253 {{{0,2}, {0,2}, {1,0}, {6,4}}},
254
255 {{{980.9000244140625, 1474.3280029296875}, {980.9000244140625, 1474.3280029296875}, {978.89300537109375, 1471.95703125}, {981.791015625, 1469.487060546875}}},
256 {{{981.791015625, 1469.487060546875}, {981.791015625, 1469.4859619140625}, {983.3580322265625, 1472.72900390625}, {980.9000244140625, 1474.3280029296875}}},
257
258 {{{275,532}, {277.209137,532}, {279,530.209106}, {279,528}}},
259 {{{278,529}, {278,530.65686}, {276.65686,532}, {275,532}}},
260
261 #if 0 // FIXME: asserts coincidence, not working yet
262 {{{195, 785}, {124.30755615234375, 785}, {67, 841.85986328125}, {67, 912}}},
263 {{{67, 913}, {67, 842.30755615234375}, {123.85984039306641, 785}, {194, 785}}},
264 #endif
265
266 {{{149,710.001465}, {149.000809,712.209961}, {150.791367,714}, {153,714}}},
267 {{{154,715}, {151.238571,715}, {149,712.761414}, {149,710}}},
268
269 {{{1,2}, {1,2}, {2,0}, {6,0}}},
270 {{{0,2}, {0,6}, {2,1}, {2,1}}},
271
272 {{{0,1}, {2,3}, {5,1}, {4,3}}},
273 {{{1,5}, {3,4}, {1,0}, {3,2}}},
274
275 {{{399,657}, {399,661.970581}, {403.029449,666}, {408,666}}},
276 {{{406,666}, {402.686279,666}, {400,663.313721}, {400,660}}},
277
278 {{{0,5}, {3,5}, {3,0}, {3,2}}},
279 {{{0,3}, {2,3}, {5,0}, {5,3}}},
280
281 {{{132, 11419}, {130.89543151855469, 11419}, {130, 11418.1044921875}, {130, 11417}}},
282
283 {{{3, 4}, {1, 5}, {4, 3}, {6, 4}}},
284 {{{3, 4}, {4, 6}, {4, 3}, {5, 1}}},
285
286 {{{130.04275512695312, 11417.413085937500 },
287 {130.23312377929687, 11418.319335937500 },
288 {131.03707885742187, 11419.000000000000 },
289 {132.00000000000000, 11419.000000000000 }}},
290
291 {{{132.00000000000000, 11419.000000000000 },
292 {130.89543151855469, 11419.000000000000 },
293 {130.00000000000000, 11418.104492187500 },
294 {130.00000000000000, 11417.000000000000 }}},
295
296 {{{1.0516976506771041, 2.9684399028541346 },
297 {1.0604363140895228, 2.9633503074444141 },
298 {1.0692548215065762, 2.9580354426587459 },
299 {1.0781560339512140, 2.9525043684031349 }}},
300
301 {{{1.0523038101345104, 2.9523755204833737 },
302 {1.0607035288264237, 2.9580853881628375 },
303 {1.0690530472271964, 2.9633896794787749 },
304 {1.0773566568712512, 2.9682969775000219 }}},
305
306 {{{1.0386522625066592, 2.9759024812329078 },
307 {1.0559713690392631, 2.9661782500838885 },
308 {1.0736041309019990, 2.9555348259177858 },
309 {1.0915734362784633, 2.9440446879826569 }}},
310
311 {{{1.0396670794879301, 2.9435062123457261 },
312 {1.0565690546812769, 2.9557413250983462 },
313 {1.0732616463413533, 2.9663369676594282 },
314 {1.0897791867435489, 2.9753618045797472 }}},
315
316 {{{0.8685656183311091, 3.0409266475785208 },
317 {0.99189542936395292, 3.0212163698184424 },
318 {1.1302108367493320, 2.9265646471747306 },
319 {1.2952305904872474, 2.7940808546473788 }}},
320
321 {{{0.85437872843682727, 2.7536036928549055 },
322 {1.0045584590592620, 2.9493041024831705 },
323 {1.1336998329885613, 3.0248027987251747 },
324 {1.2593809752247314, 3.0152560315809107 }}},
325
326 {{{0, 1}, {1, 6}, {1, 0}, {6, 2}}},
327 {{{0, 1}, {2, 6}, {1, 0}, {6, 1}}},
328
329 {{{134,11414}, {131.990234375,11414}, {130.32666015625,11415.482421875}, {130.04275512695312,11417.4130859375}}},
330 {{{132,11419}, {130.89543151855469,11419}, {130,11418.1044921875}, {130,11417}}},
331
332 {{{132,11419}, {130.89543151855469,11419}, {130,11418.1044921875}, {130,11417}}},
333 {{{130.04275512695312,11417.4130859375}, {130.23312377929687,11418.3193359375}, {131.03707885742187,11419}, {132,11419}}},
334
335 {{{0, 1}, {2, 3}, {5, 1}, {4, 3}}},
336 {{{1, 5}, {3, 4}, {1, 0}, {3, 2}}},
337
338 {{{3, 5}, {1, 6}, {5, 0}, {3, 1}}},
339 {{{0, 5}, {1, 3}, {5, 3}, {6, 1}}},
340
341 {{{0, 1}, {1, 5}, {1, 0}, {1, 0}}},
342 {{{0, 1}, {0, 1}, {1, 0}, {5, 1}}},
343
344 {{{1, 3}, {5, 6}, {5, 3}, {5, 4}}},
345 {{{3, 5}, {4, 5}, {3, 1}, {6, 5}}},
346
347 {{{0, 5}, {0, 5}, {5, 4}, {6, 4}}},
348 {{{4, 5}, {4, 6}, {5, 0}, {5, 0}}},
349
350 {{{0, 4}, {1, 3}, {5, 4}, {4, 2}}},
351 {{{4, 5}, {2, 4}, {4, 0}, {3, 1}}},
352
353 {{{0, 2}, {1, 5}, {3, 2}, {4, 1}}},
354 {{{2, 3}, {1, 4}, {2, 0}, {5, 1}}},
355
356 {{{0, 2}, {2, 3}, {5, 1}, {3, 2}}},
357 {{{1, 5}, {2, 3}, {2, 0}, {3, 2}}},
358
359 {{{2, 6}, {4, 5}, {1, 0}, {6, 1}}},
360 {{{0, 1}, {1, 6}, {6, 2}, {5, 4}}},
361
362 {{{0, 1}, {1, 2}, {6, 5}, {5, 4}}},
363 {{{5, 6}, {4, 5}, {1, 0}, {2, 1}}},
364
365 {{{2.5119999999999996, 1.5710000000000002}, {2.6399999999999983, 1.6599999999999997},
366 {2.8000000000000007, 1.8000000000000003}, {3, 2}}},
367 {{{2.4181876227114887, 1.9849772580462195}, {2.8269904869227211, 2.009330650246834},
368 {3.2004679292461624, 1.9942047174679169}, {3.4986199496818058, 2.0035994597094731}}},
369
370 {{{2, 3}, {1, 4}, {1, 0}, {6, 0}}},
371 {{{0, 1}, {0, 6}, {3, 2}, {4, 1}}},
372
373 {{{0, 2}, {1, 5}, {1, 0}, {6, 1}}},
374 {{{0, 1}, {1, 6}, {2, 0}, {5, 1}}},
375
376 {{{0, 1}, {1, 5}, {2, 1}, {4, 0}}},
377 {{{1, 2}, {0, 4}, {1, 0}, {5, 1}}},
378
379 {{{0, 1}, {3, 5}, {2, 1}, {3, 1}}},
380 {{{1, 2}, {1, 3}, {1, 0}, {5, 3}}},
381
382 {{{0, 1}, {2, 5}, {6, 0}, {5, 3}}},
383 {{{0, 6}, {3, 5}, {1, 0}, {5, 2}}},
384
385 {{{0, 1}, {3, 6}, {1, 0}, {5, 2}}},
386 {{{0, 1}, {2, 5}, {1, 0}, {6, 3}}},
387
388 {{{1, 2}, {5, 6}, {1, 0}, {1, 0}}},
389 {{{0, 1}, {0, 1}, {2, 1}, {6, 5}}},
390
391 {{{0, 6}, {1, 2}, {1, 0}, {1, 0}}},
392 {{{0, 1}, {0, 1}, {6, 0}, {2, 1}}},
393
394 {{{0, 2}, {0, 1}, {3, 0}, {1, 0}}},
395 {{{0, 3}, {0, 1}, {2, 0}, {1, 0}}},
396 };
397
398 const int newTestSetCount = (int) std::size(newTestSet);
oneOff(skiatest::Reporter * reporter,const CubicPts & cubic1,const CubicPts & cubic2,bool coin)399 static void oneOff(skiatest::Reporter* reporter, const CubicPts& cubic1, const CubicPts& cubic2,
400 bool coin) {
401 SkDCubic c1, c2;
402 c1.debugSet(cubic1.fPts);
403 c2.debugSet(cubic2.fPts);
404 SkASSERT(ValidCubic(c1));
405 SkASSERT(ValidCubic(c2));
406 #if ONE_OFF_DEBUG
407 SkDebugf("computed quadratics given\n");
408 SkDebugf(" {{%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}},\n",
409 cubic1[0].fX, cubic1[0].fY, cubic1[1].fX, cubic1[1].fY,
410 cubic1[2].fX, cubic1[2].fY, cubic1[3].fX, cubic1[3].fY);
411 SkDebugf(" {{%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}},\n",
412 cubic2[0].fX, cubic2[0].fY, cubic2[1].fX, cubic2[1].fY,
413 cubic2[2].fX, cubic2[2].fY, cubic2[3].fX, cubic2[3].fY);
414 #endif
415 SkIntersections intersections;
416 intersections.intersect(c1, c2);
417 #if DEBUG_T_SECT_DUMP == 3
418 SkDebugf("</div>\n\n");
419 SkDebugf("<script type=\"text/javascript\">\n\n");
420 SkDebugf("var testDivs = [\n");
421 for (int index = 1; index <= gDumpTSectNum; ++index) {
422 SkDebugf("sect%d,\n", index);
423 }
424 #endif
425 REPORTER_ASSERT(reporter, !coin || intersections.used() >= 2);
426 double tt1, tt2;
427 SkDPoint xy1, xy2;
428 for (int pt3 = 0; pt3 < intersections.used(); ++pt3) {
429 tt1 = intersections[0][pt3];
430 xy1 = c1.ptAtT(tt1);
431 tt2 = intersections[1][pt3];
432 xy2 = c2.ptAtT(tt2);
433 const SkDPoint& iPt = intersections.pt(pt3);
434 #if ONE_OFF_DEBUG
435 SkDebugf("%s t1=%1.9g (%1.9g, %1.9g) (%1.9g, %1.9g) (%1.9g, %1.9g) t2=%1.9g\n",
436 __FUNCTION__, tt1, xy1.fX, xy1.fY, iPt.fX,
437 iPt.fY, xy2.fX, xy2.fY, tt2);
438 #endif
439 REPORTER_ASSERT(reporter, xy1.approximatelyEqual(iPt));
440 REPORTER_ASSERT(reporter, xy2.approximatelyEqual(iPt));
441 REPORTER_ASSERT(reporter, xy1.approximatelyEqual(xy2));
442 }
443 reporter->bumpTestCount();
444 }
445
oneOff(skiatest::Reporter * reporter,int outer,int inner)446 static void oneOff(skiatest::Reporter* reporter, int outer, int inner) {
447 const CubicPts& cubic1 = testSet[outer];
448 const CubicPts& cubic2 = testSet[inner];
449 oneOff(reporter, cubic1, cubic2, false);
450 }
451
newOneOff(skiatest::Reporter * reporter,int outer,int inner)452 static void newOneOff(skiatest::Reporter* reporter, int outer, int inner) {
453 const CubicPts& cubic1 = newTestSet[outer];
454 const CubicPts& cubic2 = newTestSet[inner];
455 oneOff(reporter, cubic1, cubic2, false);
456 }
457
testsOneOff(skiatest::Reporter * reporter,int index)458 static void testsOneOff(skiatest::Reporter* reporter, int index) {
459 const CubicPts& cubic1 = tests[index][0];
460 const CubicPts& cubic2 = tests[index][1];
461 oneOff(reporter, cubic1, cubic2, false);
462 }
463
oneOffTests(skiatest::Reporter * reporter)464 static void oneOffTests(skiatest::Reporter* reporter) {
465 for (int outer = 0; outer < testSetCount - 1; ++outer) {
466 for (int inner = outer + 1; inner < testSetCount; ++inner) {
467 oneOff(reporter, outer, inner);
468 }
469 }
470 for (int outer = 0; outer < newTestSetCount - 1; ++outer) {
471 for (int inner = outer + 1; inner < newTestSetCount; ++inner) {
472 newOneOff(reporter, outer, inner);
473 }
474 }
475 }
476
477 #define DEBUG_CRASH 0
478
CubicIntersection_RandTest(skiatest::Reporter * reporter)479 static void CubicIntersection_RandTest(skiatest::Reporter* reporter) {
480 srand(0);
481 const int kNumTests = 10000000;
482 #if !defined(SK_BUILD_FOR_WIN) && !defined(SK_BUILD_FOR_ANDROID)
483 unsigned seed = 0;
484 #endif
485 for (int test = 0; test < kNumTests; ++test) {
486 CubicPts cubic1, cubic2;
487 for (int i = 0; i < 4; ++i) {
488 cubic1.fPts[i].fX = static_cast<double>(SK_RAND(seed)) / RAND_MAX * 100;
489 cubic1.fPts[i].fY = static_cast<double>(SK_RAND(seed)) / RAND_MAX * 100;
490 cubic2.fPts[i].fX = static_cast<double>(SK_RAND(seed)) / RAND_MAX * 100;
491 cubic2.fPts[i].fY = static_cast<double>(SK_RAND(seed)) / RAND_MAX * 100;
492 }
493 #if DEBUG_CRASH
494 char str[1024];
495 snprintf(str, sizeof(str),
496 "{{{%1.9g, %1.9g}, {%1.9g, %1.9g}, {%1.9g, %1.9g}, {%1.9g, %1.9g}}},\n"
497 "{{{%1.9g, %1.9g}, {%1.9g, %1.9g}, {%1.9g, %1.9g}, {%1.9g, %1.9g}}},\n",
498 cubic1[0].fX, cubic1[0].fY, cubic1[1].fX, cubic1[1].fY, cubic1[2].fX, cubic1[2].fY,
499 cubic1[3].fX, cubic1[3].fY,
500 cubic2[0].fX, cubic2[0].fY, cubic2[1].fX, cubic2[1].fY, cubic2[2].fX, cubic2[2].fY,
501 cubic2[3].fX, cubic2[3].fY);
502 #endif
503 SkDRect rect1, rect2;
504 SkDCubic c1, c2;
505 c1.debugSet(cubic1.fPts);
506 c2.debugSet(cubic2.fPts);
507 rect1.setBounds(c1);
508 rect2.setBounds(c2);
509 bool boundsIntersect = rect1.fLeft <= rect2.fRight && rect2.fLeft <= rect2.fRight
510 && rect1.fTop <= rect2.fBottom && rect2.fTop <= rect1.fBottom;
511 if (test == -1) {
512 SkDebugf("ready...\n");
513 }
514 SkIntersections intersections2;
515 int newIntersects = intersections2.intersect(c1, c2);
516 if (!boundsIntersect && newIntersects) {
517 #if DEBUG_CRASH
518 SkDebugf("%s %d unexpected intersection boundsIntersect=%d "
519 " newIntersects=%d\n%s %s\n", __FUNCTION__, test, boundsIntersect,
520 newIntersects, __FUNCTION__, str);
521 #endif
522 REPORTER_ASSERT(reporter, 0);
523 }
524 for (int pt = 0; pt < intersections2.used(); ++pt) {
525 double tt1 = intersections2[0][pt];
526 SkDPoint xy1 = c1.ptAtT(tt1);
527 double tt2 = intersections2[1][pt];
528 SkDPoint xy2 = c2.ptAtT(tt2);
529 REPORTER_ASSERT(reporter, xy1.approximatelyEqual(xy2));
530 }
531 reporter->bumpTestCount();
532 }
533 }
534
intersectionFinder(int index0,int index1,double t1Seed,double t2Seed,double t1Step,double t2Step)535 static void intersectionFinder(int index0, int index1, double t1Seed, double t2Seed,
536 double t1Step, double t2Step) {
537 const CubicPts& cubic1 = newTestSet[index0];
538 const CubicPts& cubic2 = newTestSet[index1];
539 SkDPoint t1[3], t2[3];
540 bool toggle = true;
541 SkDCubic c1, c2;
542 c1.debugSet(cubic1.fPts);
543 c2.debugSet(cubic2.fPts);
544 do {
545 t1[0] = c1.ptAtT(t1Seed - t1Step);
546 t1[1] = c1.ptAtT(t1Seed);
547 t1[2] = c1.ptAtT(t1Seed + t1Step);
548 t2[0] = c2.ptAtT(t2Seed - t2Step);
549 t2[1] = c2.ptAtT(t2Seed);
550 t2[2] = c2.ptAtT(t2Seed + t2Step);
551 double dist[3][3];
552 dist[1][1] = t1[1].distance(t2[1]);
553 int best_i = 1, best_j = 1;
554 for (int i = 0; i < 3; ++i) {
555 for (int j = 0; j < 3; ++j) {
556 if (i == 1 && j == 1) {
557 continue;
558 }
559 dist[i][j] = t1[i].distance(t2[j]);
560 if (dist[best_i][best_j] > dist[i][j]) {
561 best_i = i;
562 best_j = j;
563 }
564 }
565 }
566 if (best_i == 0) {
567 t1Seed -= t1Step;
568 } else if (best_i == 2) {
569 t1Seed += t1Step;
570 }
571 if (best_j == 0) {
572 t2Seed -= t2Step;
573 } else if (best_j == 2) {
574 t2Seed += t2Step;
575 }
576 if (best_i == 1 && best_j == 1) {
577 if ((toggle ^= true)) {
578 t1Step /= 2;
579 } else {
580 t2Step /= 2;
581 }
582 }
583 } while (!t1[1].approximatelyEqual(t2[1]));
584 t1Step = t2Step = 0.1;
585 double t10 = t1Seed - t1Step * 2;
586 double t12 = t1Seed + t1Step * 2;
587 double t20 = t2Seed - t2Step * 2;
588 double t22 = t2Seed + t2Step * 2;
589 SkDPoint test;
590 while (!approximately_zero(t1Step)) {
591 test = c1.ptAtT(t10);
592 t10 += t1[1].approximatelyEqual(test) ? -t1Step : t1Step;
593 t1Step /= 2;
594 }
595 t1Step = 0.1;
596 while (!approximately_zero(t1Step)) {
597 test = c1.ptAtT(t12);
598 t12 -= t1[1].approximatelyEqual(test) ? -t1Step : t1Step;
599 t1Step /= 2;
600 }
601 while (!approximately_zero(t2Step)) {
602 test = c2.ptAtT(t20);
603 t20 += t2[1].approximatelyEqual(test) ? -t2Step : t2Step;
604 t2Step /= 2;
605 }
606 t2Step = 0.1;
607 while (!approximately_zero(t2Step)) {
608 test = c2.ptAtT(t22);
609 t22 -= t2[1].approximatelyEqual(test) ? -t2Step : t2Step;
610 t2Step /= 2;
611 }
612 #if ONE_OFF_DEBUG
613 SkDebugf("%s t1=(%1.9g<%1.9g<%1.9g) t2=(%1.9g<%1.9g<%1.9g)\n", __FUNCTION__,
614 t10, t1Seed, t12, t20, t2Seed, t22);
615 SkDPoint p10 = c1.ptAtT(t10);
616 SkDPoint p1Seed = c1.ptAtT(t1Seed);
617 SkDPoint p12 = c1.ptAtT(t12);
618 SkDebugf("%s p1=(%1.9g,%1.9g)<(%1.9g,%1.9g)<(%1.9g,%1.9g)\n", __FUNCTION__,
619 p10.fX, p10.fY, p1Seed.fX, p1Seed.fY, p12.fX, p12.fY);
620 SkDPoint p20 = c2.ptAtT(t20);
621 SkDPoint p2Seed = c2.ptAtT(t2Seed);
622 SkDPoint p22 = c2.ptAtT(t22);
623 SkDebugf("%s p2=(%1.9g,%1.9g)<(%1.9g,%1.9g)<(%1.9g,%1.9g)\n", __FUNCTION__,
624 p20.fX, p20.fY, p2Seed.fX, p2Seed.fY, p22.fX, p22.fY);
625 #endif
626 }
627
CubicIntersection_IntersectionFinder()628 static void CubicIntersection_IntersectionFinder() {
629 // double t1Seed = 0.87;
630 // double t2Seed = 0.87;
631 double t1Step = 0.000001;
632 double t2Step = 0.000001;
633 intersectionFinder(0, 1, 0.855895664, 0.864850875, t1Step, t2Step);
634 intersectionFinder(0, 1, 0.865207906, 0.865207887, t1Step, t2Step);
635 intersectionFinder(0, 1, 0.865213351, 0.865208087, t1Step, t2Step);
636 }
637
638 static const CubicPts selfSet[] = {
639 {{{2, 3}, {0, 4}, {3, 2}, {5, 3}}},
640 {{{3, 6}, {2, 3}, {4, 0}, {3, 2}}},
641 {{{0, 2}, {2, 3}, {5, 1}, {3, 2}}},
642 {{{0, 2}, {3, 5}, {5, 0}, {4, 2}}},
643 {{{3.34, 8.98}, {1.95, 10.27}, {3.76, 7.65}, {4.96, 10.64}}},
644 {{{3.13, 2.74}, {1.08, 4.62}, {3.71, 0.94}, {2.01, 3.81}}},
645 {{{6.71, 3.14}, {7.99, 2.75}, {8.27, 1.96}, {6.35, 3.57}}},
646 {{{12.81, 7.27}, {7.22, 6.98}, {12.49, 8.97}, {11.42, 6.18}}},
647 };
648
649 int selfSetCount = (int) std::size(selfSet);
650
selfOneOff(skiatest::Reporter * reporter,int setIdx)651 static void selfOneOff(skiatest::Reporter* reporter, int setIdx) {
652 const CubicPts& cubic = selfSet[setIdx];
653 SkPoint c[4];
654 for (int i = 0; i < 4; ++i) {
655 c[i] = cubic.fPts[i].asSkPoint();
656 }
657 SkScalar loopT[3];
658 SkCubicType cubicType = SkClassifyCubic(c);
659 int breaks = SkDCubic::ComplexBreak(c, loopT);
660 SkASSERT(breaks < 2);
661 if (breaks && cubicType == SkCubicType::kLoop) {
662 SkIntersections i;
663 SkPoint twoCubics[7];
664 SkChopCubicAt(c, twoCubics, loopT[0]);
665 SkDCubic chopped[2];
666 chopped[0].set(&twoCubics[0]);
667 chopped[1].set(&twoCubics[3]);
668 int result = i.intersect(chopped[0], chopped[1]);
669 REPORTER_ASSERT(reporter, result == 2);
670 REPORTER_ASSERT(reporter, i.used() == 2);
671 for (int index = 0; index < result; ++index) {
672 SkDPoint pt1 = chopped[0].ptAtT(i[0][index]);
673 SkDPoint pt2 = chopped[1].ptAtT(i[1][index]);
674 REPORTER_ASSERT(reporter, pt1.approximatelyEqual(pt2));
675 reporter->bumpTestCount();
676 }
677 }
678 }
679
cubicIntersectionSelfTest(skiatest::Reporter * reporter)680 static void cubicIntersectionSelfTest(skiatest::Reporter* reporter) {
681 int firstFail = 0;
682 for (int index = firstFail; index < selfSetCount; ++index) {
683 selfOneOff(reporter, index);
684 }
685 }
686
687 static const CubicPts coinSet[] = {
688 {{{72.350448608398438, 27.966041564941406}, {72.58441162109375, 27.861515045166016},
689 {72.818222045898437, 27.756658554077148}, {73.394996643066406, 27.49799919128418}}},
690 {{{73.394996643066406, 27.49799919128418}, {72.818222045898437, 27.756658554077148},
691 {72.58441162109375, 27.861515045166016}, {72.350448608398438, 27.966041564941406}}},
692
693 {{{297.04998779296875, 43.928997039794922}, {297.04998779296875, 43.928997039794922},
694 {300.69699096679688, 45.391998291015625}, {306.92498779296875, 43.08599853515625}}},
695 {{{297.04998779296875, 43.928997039794922}, {297.04998779296875, 43.928997039794922},
696 {300.69699096679688, 45.391998291015625}, {306.92498779296875, 43.08599853515625}}},
697
698 {{{2, 3}, {0, 4}, {3, 2}, {5, 3}}},
699 {{{2, 3}, {0, 4}, {3, 2}, {5, 3}}},
700
701 {{{317, 711}, {322.52285766601562, 711}, {327, 715.4771728515625}, {327, 721}}},
702 {{{324.07107543945312, 713.928955078125}, {324.4051513671875, 714.26300048828125},
703 {324.71566772460937, 714.62060546875}, {325, 714.9990234375}}},
704 };
705
706 static int coinSetCount = (int) std::size(coinSet);
707
coinOneOff(skiatest::Reporter * reporter,int index)708 static void coinOneOff(skiatest::Reporter* reporter, int index) {
709 const CubicPts& cubic1 = coinSet[index];
710 const CubicPts& cubic2 = coinSet[index + 1];
711 oneOff(reporter, cubic1, cubic2, true);
712 }
713
cubicIntersectionCoinTest(skiatest::Reporter * reporter)714 static void cubicIntersectionCoinTest(skiatest::Reporter* reporter) {
715 int firstFail = 0;
716 for (int index = firstFail; index < coinSetCount; index += 2) {
717 coinOneOff(reporter, index);
718 }
719 }
720
DEF_TEST(PathOpsCubicCoinOneOff,reporter)721 DEF_TEST(PathOpsCubicCoinOneOff, reporter) {
722 coinOneOff(reporter, 0);
723 }
724
DEF_TEST(PathOpsCubicIntersectionOneOff,reporter)725 DEF_TEST(PathOpsCubicIntersectionOneOff, reporter) {
726 newOneOff(reporter, 0, 1);
727 }
728
DEF_TEST(PathOpsCubicIntersectionTestsOneOff,reporter)729 DEF_TEST(PathOpsCubicIntersectionTestsOneOff, reporter) {
730 testsOneOff(reporter, 10);
731 }
732
DEF_TEST(PathOpsCubicSelfOneOff,reporter)733 DEF_TEST(PathOpsCubicSelfOneOff, reporter) {
734 selfOneOff(reporter, 0);
735 }
736
DEF_TEST(PathOpsCubicIntersection,reporter)737 DEF_TEST(PathOpsCubicIntersection, reporter) {
738 oneOffTests(reporter);
739 cubicIntersectionSelfTest(reporter);
740 cubicIntersectionCoinTest(reporter);
741 standardTestCases(reporter);
742 if ((false)) CubicIntersection_IntersectionFinder();
743 if ((false)) CubicIntersection_RandTest(reporter);
744 }
745