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