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 "PathOpsQuadIntersectionTestData.h" 8 #include "PathOpsTestCommon.h" 9 #include "SkIntersections.h" 10 #include "SkPathOpsRect.h" 11 #include "SkReduceOrder.h" 12 #include "Test.h" 13 14 static void standardTestCases(skiatest::Reporter* reporter) { 15 bool showSkipped = false; 16 for (size_t index = 0; index < quadraticTests_count; ++index) { 17 const SkDQuad& quad1 = quadraticTests[index][0]; 18 SkASSERT(ValidQuad(quad1)); 19 const SkDQuad& quad2 = quadraticTests[index][1]; 20 SkASSERT(ValidQuad(quad2)); 21 SkReduceOrder reduce1, reduce2; 22 int order1 = reduce1.reduce(quad1); 23 int order2 = reduce2.reduce(quad2); 24 if (order1 < 3) { 25 if (showSkipped) { 26 SkDebugf("[%d] quad1 order=%d\n", static_cast<int>(index), order1); 27 } 28 } 29 if (order2 < 3) { 30 if (showSkipped) { 31 SkDebugf("[%d] quad2 order=%d\n", static_cast<int>(index), order2); 32 } 33 } 34 if (order1 == 3 && order2 == 3) { 35 SkIntersections intersections; 36 intersections.intersect(quad1, quad2); 37 if (intersections.used() > 0) { 38 for (int pt = 0; pt < intersections.used(); ++pt) { 39 double tt1 = intersections[0][pt]; 40 SkDPoint xy1 = quad1.ptAtT(tt1); 41 double tt2 = intersections[1][pt]; 42 SkDPoint xy2 = quad2.ptAtT(tt2); 43 if (!xy1.approximatelyEqual(xy2)) { 44 SkDebugf("%s [%d,%d] x!= t1=%g (%g,%g) t2=%g (%g,%g)\n", 45 __FUNCTION__, static_cast<int>(index), pt, tt1, xy1.fX, xy1.fY, 46 tt2, xy2.fX, xy2.fY); 47 REPORTER_ASSERT(reporter, 0); 48 } 49 } 50 } 51 } 52 } 53 } 54 55 static const SkDQuad testSet[] = { 56 {{{441.853149, 308.209106}, {434.672272, 315.389984}, {424.516998, 315.389984}}}, 57 {{{385.207275, 334.241272}, {406.481598, 312.96698}, {436.567993, 312.96698}}}, 58 59 {{{-708.00779269310044, -154.36998607290101}, {-707.90560262312511, -154.36998607290101}, {-707.8333433370193, -154.44224536635932}}}, 60 {{{-708.00779269310044, -154.61669472244046}, {-701.04513225634582, -128.85970734043804}, {505.58447265625, -504.9130859375}}}, 61 62 {{{164, -40}, {231.51681518554687, -40}, {279.25839233398438, 7.7416000366210938}}}, 63 {{{279.25839233398438, 7.7416000366210938}, {275.2164306640625, 3.6996400356292725}, {271.03286743164062, -5.3290705182007514e-015}}}, 64 65 {{{2.9999997378517067, 1.9737872594345709}, {2.9999997432230918, 1.9739647181863822}, {1.2414155459263587e-163, 5.2957833941332142e-315}}}, 66 {{{2.9999047485265304, 1.9739164225694723}, {3.0000947268526112, 1.9738379076623633}, {0.61149411077591886, 0.0028382324376270418}}}, 67 68 {{{2.9999996843656502, 1.9721416019045801}, {2.9999997725237835, 1.9749798343422071}, 69 {5.3039068214821359e-315, 8.9546185262775165e-307}}}, 70 {{{2.9984791443874976, 1.974505741312242}, {2.9999992702127476, 1.9738772171479178}, 71 {3.0015187977319759, 1.9732495027303418}}}, 72 73 {{{0.647069409,2.97691634}, {0.946860918,3.17625612}, {1.46875407,2.65105457}}}, 74 {{{0,1}, {0.723699095,2.82756208}, {1.08907197,2.97497449}}}, 75 76 {{{131.37418,11414.9825}, {130.28798,11415.9328}, {130.042755,11417.4131}}}, 77 {{{130.585787,11418.4142}, {130.021447,11417.8498}, {130,11417}}}, 78 79 {{{130.73167037963867, 11418.546386718750}, {131.26360225677490, 11418.985778808592}, 80 {132, 11419 }}}, 81 {{{132, 11419}, {131.15012693405151, 11418.978546142578}, 82 {130.58578681945801, 11418.414184570313}}}, 83 84 {{{132, 11419}, 85 {130.73167037963867, 11418.546386718750}, {131.26360225677490, 11418.985778808592}}}, 86 {{{131.15012693405151, 11418.978546142578}, 87 {130.58578681945801, 11418.414184570313}, {132, 11419}}}, 88 89 {{{3.0774019473063863, 3.35198509346713}, {3.0757503498668397, 3.327320623945933}, 90 {3.0744102085015879, 3.3025879417907196}}}, 91 {{{3.053913680774329, 3.3310471586283938}, {3.0758730889691694, 3.3273466070370152}, 92 {3.0975671980059394, 3.3235031316554351}}}, 93 94 {{{3.39068129, 4.44939202}, {3.03659239, 3.81843234}, {3.06844529, 3.02100922}}}, 95 {{{2.10714698, 3.44196686}, {3.12180288, 3.38575704}, {3.75968569, 3.1281838}}}, 96 97 {{{2.74792918, 4.77711896}, {2.82236867, 4.23882547}, {2.82848144, 3.63729341}}}, 98 {{{2.62772567, 3.64823958}, {3.46652495, 3.64258364}, {4.1425079, 3.48623815}}}, 99 100 {{{1.34375, 2.03125}, {2.2734375, 2.6640625}, {3.25, 3.25}}}, 101 {{{3.96875, 4.65625}, {3.3359375, 3.7265625}, {2.75, 2.75}}}, 102 103 {{{0, 1}, {0.324417544, 2.27953848}, {0.664376547, 2.58940267}}}, 104 {{{1, 2}, {0.62109375, 2.70703125}, {0.640625, 2.546875}}}, 105 106 {{{1, 2}, {0.984375, 2.3359375}, {1.0625, 2.15625}}}, 107 {{{0, 1}, {0.983539095, 2.30041152}, {1.47325103, 2.61316872}}}, 108 109 {{{4.09011926, 2.20971038}, {4.74608133, 1.9335932}, {5.02469918, 2.00694987}}}, 110 {{{2.79472921, 1.73568666}, {3.36246373, 1.21251209}, {5, 2}}}, 111 112 {{{1.80814127, 2.41537795}, {2.23475077, 2.05922313}, {3.16529668, 1.98358763}}}, 113 {{{2.16505631, 2.55782454}, {2.40541285, 2.02193091}, {2.99836023, 1.68247638}}}, 114 115 {{{3, 1.875}, {3.375, 1.54296875}, {3.375, 1.421875}}}, 116 {{{3.375, 1.421875}, {3.3749999999999996, 1.3007812499999998}, {3, 2}}}, 117 118 {{{3.34, 8.98}, {2.83363281, 9.4265625}, {2.83796875, 9.363125}}}, 119 {{{2.83796875, 9.363125}, {2.84230469, 9.2996875}, {3.17875, 9.1725}}}, 120 121 {{{2.7279999999999998, 3.024}, {2.5600000000000005, 2.5600000000000005}, 122 {2.1520000000000001, 1.8560000000000001}}}, 123 {{{0.66666666666666652, 1.1481481481481481}, {1.3333333333333326, 1.3333333333333335}, 124 {2.6666666666666665, 2.1851851851851851}}}, 125 126 {{{2.728, 3.024}, {2.56, 2.56}, {2.152, 1.856}}}, 127 {{{0.666666667, 1.14814815}, {1.33333333, 1.33333333}, {2.66666667, 2.18518519}}}, 128 129 {{{0.875, 1.5}, {1.03125, 1.11022302e-16}, {1, 0}}}, 130 {{{0.875, 0.859375}, {1.6875, 0.73046875}, {2.5, 0.625}}}, 131 132 {{{1.64451042, 0.0942001592}, {1.53635465, 0.00152863961}, {1, 0}}}, 133 {{{1.27672209, 0.15}, {1.32143477, 9.25185854e-17}, {1, 0}}}, 134 135 {{{0, 0}, {0.51851851851851849, 1.0185185185185186}, {1.2592592592592591, 1.9259259259259258}}}, 136 {{{1.2592592592592593, 1.9259259259259265}, {0.51851851851851893, 1.0185185185185195}, {0, 0}}}, 137 138 {{{1.93281168, 2.58856757}, {2.38543691, 2.7096125}, {2.51967352, 2.34531784}}}, 139 {{{2.51967352, 2.34531784}, {2.65263731, 2.00639194}, {3.1212119, 1.98608967}}}, 140 {{{2.09544533, 2.51981963}, {2.33331524, 2.25252128}, {2.92003302, 2.39442311}}}, 141 142 {{{0.924337655, 1.94072717}, {1.25185043, 1.52836494}, {1.71793901, 1.06149951}}}, 143 {{{0.940798831, 1.67439357}, {1.25988251, 1.39778567}, {1.71791672, 1.06650313}}}, 144 145 {{{0.924337655, 1.94072717}, {1.39158994, 1.32418496}, {2.14967426, 0.687365435}}}, 146 {{{0.940798831, 1.67439357}, {1.48941875, 1.16280321}, {2.47884711, 0.60465921}}}, 147 148 {{{1.7465749139282332, 1.9930452039527999}, {1.8320006564080331, 1.859481345189089}, 149 {1.8731035127758437, 1.6344055934266613}}}, 150 {{{1.8731035127758437, 1.6344055934266613}, {1.89928170345231, 1.5006405518943067}, 151 {1.9223833226085514, 1.3495796165215643}}}, 152 {{{1.74657491, 1.9930452}, {1.87407679, 1.76762853}, {1.92238332, 1.34957962}}}, 153 {{{0.60797907, 1.68776977}, {1.0447864, 1.50810914}, {1.87464474, 1.63655092}}}, 154 {{{1.87464474, 1.63655092}, {2.70450308, 1.76499271}, {4, 3}}}, 155 156 {{{1.2071879545809394, 0.82163474041730045}, {1.1534203513372994, 0.52790870069930229}, 157 {1.0880000000000001, 0.29599999999999982}}}, //t=0.63155333662549329,0.80000000000000004 158 {{{0.33333333333333326, 0.81481481481481488}, {0.63395173631977997, 0.68744136726313931}, 159 {1.205684411948591, 0.81344322326274499}}}, 160 {{{0.33333333333333326, 0.81481481481481488}, {0.63396444791444551, 0.68743368362444768}, 161 {1.205732763658403, 0.81345617746834109}}}, //t=0.33333333333333331, 0.63396444791444551 162 {{{1.205684411948591, 0.81344322326274499}, {1.2057085875611198, 0.81344969999329253}, 163 {1.205732763658403, 0.81345617746834109}}}, 164 165 {{{1.20718795, 0.82163474}, {1.15342035, 0.527908701}, {1.088, 0.296}}}, 166 {{{1.20568441, 0.813443223}, {1.20570859, 0.8134497}, {1.20573276, 0.813456177}}}, 167 168 {{{41.5072916, 87.1234036}, {28.2747836, 80.9545395}, {23.5780771, 69.3344126}}}, 169 {{{72.9633878, 95.6593007}, {42.7738746, 88.4730382}, {31.1932785, 80.2458029}}}, 170 171 {{{31.1663962, 54.7302484}, {31.1662882, 54.7301074}, {31.1663969, 54.7302485}}}, 172 {{{26.0404936, 45.4260361}, {27.7887523, 33.1863051}, {40.8833242, 26.0301855}}}, 173 174 {{{29.9404074, 49.1672596}, {44.3131071, 45.3915253}, {58.1067559, 59.5061814}}}, 175 {{{72.6510251, 64.2972928}, {53.6989659, 60.1862397}, {35.2053722, 44.8391126}}}, 176 177 {{{52.14807018377202, 65.012420045148644}, {44.778669050208237, 66.315562705604378}, 178 {51.619118408823567, 63.787827046262684}}}, 179 {{{30.004993234763383, 93.921296668202288}, {53.384822003076991, 60.732180341802753}, 180 {58.652998934338584, 43.111073088306185}}}, 181 182 {{{80.897794748143198, 49.236332042718459}, {81.082078218891212, 64.066749904488631}, 183 {69.972305057149981, 72.968595519850993}}}, 184 {{{72.503745601281395, 32.952320736577882}, {88.030880716061645, 38.137194847810164}, 185 {73.193774825517906, 67.773492479591397}}}, 186 187 {{{67.426548091427676, 37.993772624988935}, {51.129513170665035, 57.542281234563646}, 188 {44.594748190899189, 65.644267382683879}}}, 189 {{{61.336508189019057, 82.693132843213675}, {54.825078921449354, 71.663932799212432}, 190 {47.727444217558926, 61.4049645128392}}}, 191 192 {{{67.4265481, 37.9937726}, {51.1295132, 57.5422812}, {44.5947482, 65.6442674}}}, 193 {{{61.3365082, 82.6931328}, {54.8250789, 71.6639328}, {47.7274442, 61.4049645}}}, 194 195 {{{53.774852327053594, 53.318060789841951}, {45.787877803416805, 51.393492026284981}, 196 {46.703936967162392, 53.06860709822206}}}, 197 {{{46.703936967162392, 53.06860709822206}, {47.619996130907957, 54.74372217015916}, 198 {53.020051653535361, 48.633140968832024}}}, 199 200 {{{50.934805397717923, 51.52391952648901}, {56.803308902971423, 44.246234610627596}, 201 {69.776888596721406, 40.166645096692555}}}, 202 {{{50.230212796400401, 38.386469101526998}, {49.855620812184917, 38.818990392153609}, 203 {56.356567496227363, 47.229909093319407}}}, 204 205 {{{36.148792695174222, 70.336952793070424}, {36.141613037691357, 70.711654739870085}, 206 {36.154708826402597, 71.088492662905836}}}, 207 {{{35.216235592661825, 70.580199617313212}, {36.244476835123969, 71.010897787304074}, 208 {37.230244263238326, 71.423156953613102}}}, 209 210 // this pair is nearly coincident, and causes the quartic code to produce bad 211 // data. Mathematica doesn't think they touch. Graphically, I can't tell. 212 // it may not be so bad to pretend that they don't touch, if I can detect that 213 {{{369.848602, 145.680267}, {382.360413, 121.298294}, {406.207703, 121.298294}}}, 214 {{{369.850525, 145.675964}, {382.362915, 121.29287}, {406.211273, 121.29287}}}, 215 216 {{{33.567436351153468, 62.336347586395924}, {35.200980274619084, 65.038561460144479}, 217 {36.479571811084995, 67.632178905412445}}}, 218 {{{41.349524945572696, 67.886658677862641}, {39.125562529359087, 67.429772735149214}, 219 {35.600314083992416, 66.705372160552685}}}, 220 221 {{{67.25299631583178, 21.109080184767524}, {43.617595267398613, 33.658034168577529}, 222 {33.38371819435676, 44.214192553988745}}}, 223 {{{40.476838859398541, 39.543209911285999}, {36.701186108431131, 34.8817994016458}, 224 {30.102144288878023, 26.739063172945315}}}, 225 226 {{{25.367434474345036, 50.4712103169743}, {17.865013304933097, 37.356741010559439}, 227 {16.818988838905465, 37.682915484123129}}}, 228 {{{16.818988838905465, 37.682915484123129}, {15.772964372877833, 38.009089957686811}, 229 {20.624104547604965, 41.825131596683121}}}, 230 231 {{{26.440225044088567, 79.695009812848298}, {26.085525979582247, 83.717928354134784}, 232 {27.075079976297072, 84.820633667838905}}}, 233 {{{27.075079976297072, 84.820633667838905}, {28.276546859574015, 85.988574184029034}, 234 {25.649263209500006, 87.166762066617025}}}, 235 236 {{{34.879150914024962, 83.862726601601125}, {35.095810134304429, 83.693473210169543}, 237 {35.359284111931586, 83.488069234177502}}}, 238 {{{54.503204203015471, 76.094098492518242}, {51.366889541918894, 71.609856061299155}, 239 {46.53086955445437, 69.949863036494207}}}, 240 241 {{{0, 0}, {1, 0}, {0, 3}}}, 242 {{{1, 0}, {0, 1}, {1, 1}}}, 243 {{{369.961151, 137.980698}, {383.970093, 121.298294}, {406.213287, 121.298294}}}, 244 {{{353.2948, 194.351074}, {353.2948, 173.767563}, {364.167572, 160.819855}}}, 245 {{{360.416077, 166.795715}, {370.126831, 147.872162}, {388.635406, 147.872162}}}, 246 {{{406.236359, 121.254936}, {409.445679, 121.254936}, {412.975952, 121.789818}}}, 247 {{{406.235992, 121.254936}, {425.705902, 121.254936}, {439.71994, 137.087616}}}, 248 249 {{{369.8543701171875, 145.66734313964844}, {382.36788940429688, 121.28203582763672}, 250 {406.21844482421875, 121.28203582763672}}}, 251 {{{369.96469116210938, 137.96672058105469}, {383.97555541992188, 121.28203582763672}, 252 {406.2218017578125, 121.28203582763672}}}, 253 254 {{{369.962311, 137.976044}, {383.971893, 121.29287}, {406.216125, 121.29287}}}, 255 256 {{{400.121704, 149.468719}, {391.949493, 161.037186}, {391.949493, 181.202423}}}, 257 {{{391.946747, 181.839218}, {391.946747, 155.62442}, {406.115479, 138.855438}}}, 258 {{{360.048828125, 229.2578125}, {360.048828125, 224.4140625}, {362.607421875, 221.3671875}}}, 259 {{{362.607421875, 221.3671875}, {365.166015625, 218.3203125}, {369.228515625, 218.3203125}}}, 260 {{{8, 8}, {10, 10}, {8, -10}}}, 261 {{{8, 8}, {12, 12}, {14, 4}}}, 262 {{{8, 8}, {9, 9}, {10, 8}}} 263 }; 264 265 const size_t testSetCount = SK_ARRAY_COUNT(testSet); 266 267 static void oneOffTest1(skiatest::Reporter* reporter, size_t outer, size_t inner) { 268 const SkDQuad& quad1 = testSet[outer]; 269 SkASSERT(ValidQuad(quad1)); 270 const SkDQuad& quad2 = testSet[inner]; 271 SkASSERT(ValidQuad(quad2)); 272 SkIntersections intersections2; 273 intersections2.intersect(quad1, quad2); 274 for (int pt = 0; pt < intersections2.used(); ++pt) { 275 double tt1 = intersections2[0][pt]; 276 SkDPoint xy1 = quad1.ptAtT(tt1); 277 double tt2 = intersections2[1][pt]; 278 SkDPoint xy2 = quad2.ptAtT(tt2); 279 if (!xy1.approximatelyEqual(xy2)) { 280 SkDebugf("%s [%d,%d] x!= t1=%g (%g,%g) t2=%g (%g,%g)\n", 281 __FUNCTION__, static_cast<int>(outer), static_cast<int>(inner), 282 tt1, xy1.fX, xy1.fY, tt2, xy2.fX, xy2.fY); 283 REPORTER_ASSERT(reporter, 0); 284 } 285 #if ONE_OFF_DEBUG 286 SkDebugf("%s [%d][%d] t1=%1.9g (%1.9g, %1.9g) t2=%1.9g\n", __FUNCTION__, 287 outer, inner, tt1, xy1.fX, xy1.fY, tt2); 288 #endif 289 } 290 } 291 292 DEF_TEST(PathOpsQuadIntersectionOneOff, reporter) { 293 oneOffTest1(reporter, 0, 1); 294 } 295 296 static void oneOffTests(skiatest::Reporter* reporter) { 297 for (size_t outer = 0; outer < testSetCount - 1; ++outer) { 298 for (size_t inner = outer + 1; inner < testSetCount; ++inner) { 299 oneOffTest1(reporter, outer, inner); 300 } 301 } 302 } 303 304 static const SkDQuad coincidentTestSet[] = { 305 #if 0 306 {{{97.9337615966796875,100}, {88,112.94264984130859375}, {88,130}}}, 307 {{{88,130}, {88,124.80951690673828125}, {88.91983795166015625,120}}}, 308 #endif 309 {{{369.850525, 145.675964}, {382.362915, 121.29287}, {406.211273, 121.29287}}}, 310 {{{369.850525, 145.675964}, {382.362915, 121.29287}, {406.211273, 121.29287}}}, 311 {{{8, 8}, {10, 10}, {8, -10}}}, 312 {{{8, -10}, {10, 10}, {8, 8}}}, 313 }; 314 315 static const int coincidentTestSetCount = (int) SK_ARRAY_COUNT(coincidentTestSet); 316 317 static void coincidentTestOne(skiatest::Reporter* reporter, int test1, int test2) { 318 const SkDQuad& quad1 = coincidentTestSet[test1]; 319 SkASSERT(ValidQuad(quad1)); 320 const SkDQuad& quad2 = coincidentTestSet[test2]; 321 SkASSERT(ValidQuad(quad2)); 322 SkIntersections intersections2; 323 intersections2.intersect(quad1, quad2); 324 REPORTER_ASSERT(reporter, intersections2.coincidentUsed() == 2); 325 REPORTER_ASSERT(reporter, intersections2.used() == 2); 326 for (int pt = 0; pt < intersections2.coincidentUsed(); ++pt) { 327 double tt1 = intersections2[0][pt]; 328 double tt2 = intersections2[1][pt]; 329 SkDPoint pt1 = quad1.ptAtT(tt1); 330 SkDPoint pt2 = quad2.ptAtT(tt2); 331 REPORTER_ASSERT(reporter, pt1.approximatelyEqual(pt2)); 332 } 333 } 334 335 static void coincidentTest(skiatest::Reporter* reporter) { 336 for (int testIndex = 0; testIndex < coincidentTestSetCount - 1; testIndex += 2) { 337 coincidentTestOne(reporter, testIndex, testIndex + 1); 338 } 339 } 340 341 DEF_TEST(PathOpsQuadIntersectionCoincidenceOneOff, reporter) { 342 coincidentTestOne(reporter, 0, 1); 343 } 344 345 static int floatSign(double x) { 346 return x < 0 ? -1 : x > 0 ? 1 : 0; 347 } 348 349 static const SkDQuad pointFinderTestSet[] = { 350 //>=0.633974464 0.633974846 <= 351 {{{1.2071879545809394, 0.82163474041730045}, {1.1534203513372994, 0.52790870069930229}, 352 {1.0880000000000001, 0.29599999999999982}}}, //t=0.63155333662549329, 0.80000000000000004 353 {{{1.2071879545809394, 0.82163474041730045}, {1.2065040319428038, 0.81766753259119995}, 354 {1.2058123269101506, 0.81370135061854221}}}, //t=0.63155333662549329, 0.6339049773632347 355 {{{1.2058123269101506, 0.81370135061854221}, {1.152376363978022, 0.5244097415381026}, 356 {1.0880000000000001, 0.29599999999999982}}}, //t=0.6339049773632347, 0.80000000000000004 357 //>=0.633974083 0.633975227 <= 358 {{{0.33333333333333326, 0.81481481481481488}, {0.63395173631977997, 0.68744136726313931}, 359 {1.205684411948591, 0.81344322326274499}}}, //t=0.33333333333333331, 0.63395173631977986 360 {{{0.33333333333333326, 0.81481481481481488}, {0.63396444791444551, 0.68743368362444768}, 361 {1.205732763658403, 0.81345617746834109}}}, //t=0.33333333333333331, 0.63396444791444551 362 {{{1.205684411948591, 0.81344322326274499}, {1.2057085875611198, 0.81344969999329253}, 363 {1.205732763658403, 0.81345617746834109}}}, //t=0.63395173631977986, 0.63396444791444551 364 {{{1.205732763658403, 0.81345617746834109}, {1.267928895828891, 0.83008534558465619}, 365 {1.3333333333333333, 0.85185185185185175}}}, //t=0.63396444791444551, 0.66666666666666663 366 }; 367 368 static void pointFinder(const SkDQuad& q1, const SkDQuad& q2) { 369 for (int index = 0; index < 3; ++index) { 370 double t = q1.nearestT(q2[index]); 371 SkDPoint onQuad = q1.ptAtT(t); 372 SkDebugf("%s t=%1.9g (%1.9g,%1.9g) dist=%1.9g\n", __FUNCTION__, t, onQuad.fX, onQuad.fY, 373 onQuad.distance(q2[index])); 374 double left[3]; 375 left[0] = ((const SkDLine&) q1[0]).isLeft(q2[index]); 376 left[1] = ((const SkDLine&) q1[1]).isLeft(q2[index]); 377 SkDLine diag = {{q1[0], q1[2]}}; 378 left[2] = diag.isLeft(q2[index]); 379 SkDebugf("%s left=(%d, %d, %d) inHull=%s\n", __FUNCTION__, floatSign(left[0]), 380 floatSign(left[1]), floatSign(left[2]), 381 q1.pointInHull(q2[index]) ? "true" : "false"); 382 } 383 SkDebugf("\n"); 384 } 385 386 static void hullIntersect(const SkDQuad& q1, const SkDQuad& q2) { 387 SkDebugf("%s", __FUNCTION__); 388 SkIntersections ts; 389 for (int i1 = 0; i1 < 3; ++i1) { 390 SkDLine l1 = {{q1[i1], q1[(i1 + 1) % 3]}}; 391 for (int i2 = 0; i2 < 3; ++i2) { 392 SkDLine l2 = {{q2[i2], q2[(i2 + 1) % 3]}}; 393 if (ts.intersect(l1, l2)) { 394 SkDebugf(" [%d,%d]", i1, i2); 395 } 396 } 397 } 398 SkDebugf("\n"); 399 } 400 401 static void QuadraticIntersection_PointFinder() { 402 pointFinder(pointFinderTestSet[0], pointFinderTestSet[4]); 403 pointFinder(pointFinderTestSet[4], pointFinderTestSet[0]); 404 pointFinder(pointFinderTestSet[0], pointFinderTestSet[6]); 405 pointFinder(pointFinderTestSet[6], pointFinderTestSet[0]); 406 hullIntersect(pointFinderTestSet[0], pointFinderTestSet[4]); 407 hullIntersect(pointFinderTestSet[0], pointFinderTestSet[6]); 408 } 409 410 static void intersectionFinder(int test1, int test2) { 411 const SkDQuad& quad1 = testSet[test1]; 412 const SkDQuad& quad2 = testSet[test2]; 413 414 double t1Seed = 0.5; 415 double t2Seed = 0.8; 416 double t1Step = 0.1; 417 double t2Step = 0.1; 418 SkDPoint t1[3], t2[3]; 419 bool toggle = true; 420 do { 421 t1[0] = quad1.ptAtT(t1Seed - t1Step); 422 t1[1] = quad1.ptAtT(t1Seed); 423 t1[2] = quad1.ptAtT(t1Seed + t1Step); 424 t2[0] = quad2.ptAtT(t2Seed - t2Step); 425 t2[1] = quad2.ptAtT(t2Seed); 426 t2[2] = quad2.ptAtT(t2Seed + t2Step); 427 double dist[3][3]; 428 dist[1][1] = t1[1].distance(t2[1]); 429 int best_i = 1, best_j = 1; 430 for (int i = 0; i < 3; ++i) { 431 for (int j = 0; j < 3; ++j) { 432 if (i == 1 && j == 1) { 433 continue; 434 } 435 dist[i][j] = t1[i].distance(t2[j]); 436 if (dist[best_i][best_j] > dist[i][j]) { 437 best_i = i; 438 best_j = j; 439 } 440 } 441 } 442 if (best_i == 0) { 443 t1Seed -= t1Step; 444 } else if (best_i == 2) { 445 t1Seed += t1Step; 446 } 447 if (best_j == 0) { 448 t2Seed -= t2Step; 449 } else if (best_j == 2) { 450 t2Seed += t2Step; 451 } 452 if (best_i == 1 && best_j == 1) { 453 if ((toggle ^= true)) { 454 t1Step /= 2; 455 } else { 456 t2Step /= 2; 457 } 458 } 459 } while (!t1[1].approximatelyEqual(t2[1])); 460 t1Step = t2Step = 0.1; 461 double t10 = t1Seed - t1Step * 2; 462 double t12 = t1Seed + t1Step * 2; 463 double t20 = t2Seed - t2Step * 2; 464 double t22 = t2Seed + t2Step * 2; 465 SkDPoint test; 466 while (!approximately_zero(t1Step)) { 467 test = quad1.ptAtT(t10); 468 t10 += t1[1].approximatelyEqual(test) ? -t1Step : t1Step; 469 t1Step /= 2; 470 } 471 t1Step = 0.1; 472 while (!approximately_zero(t1Step)) { 473 test = quad1.ptAtT(t12); 474 t12 -= t1[1].approximatelyEqual(test) ? -t1Step : t1Step; 475 t1Step /= 2; 476 } 477 while (!approximately_zero(t2Step)) { 478 test = quad2.ptAtT(t20); 479 t20 += t2[1].approximatelyEqual(test) ? -t2Step : t2Step; 480 t2Step /= 2; 481 } 482 t2Step = 0.1; 483 while (!approximately_zero(t2Step)) { 484 test = quad2.ptAtT(t22); 485 t22 -= t2[1].approximatelyEqual(test) ? -t2Step : t2Step; 486 t2Step /= 2; 487 } 488 #if ONE_OFF_DEBUG 489 SkDebugf("%s t1=(%1.9g<%1.9g<%1.9g) t2=(%1.9g<%1.9g<%1.9g)\n", __FUNCTION__, 490 t10, t1Seed, t12, t20, t2Seed, t22); 491 SkDPoint p10 = quad1.ptAtT(t10); 492 SkDPoint p1Seed = quad1.ptAtT(t1Seed); 493 SkDPoint p12 = quad1.ptAtT(t12); 494 SkDebugf("%s p1=(%1.9g,%1.9g)<(%1.9g,%1.9g)<(%1.9g,%1.9g)\n", __FUNCTION__, 495 p10.fX, p10.fY, p1Seed.fX, p1Seed.fY, p12.fX, p12.fY); 496 SkDPoint p20 = quad2.ptAtT(t20); 497 SkDPoint p2Seed = quad2.ptAtT(t2Seed); 498 SkDPoint p22 = quad2.ptAtT(t22); 499 SkDebugf("%s p2=(%1.9g,%1.9g)<(%1.9g,%1.9g)<(%1.9g,%1.9g)\n", __FUNCTION__, 500 p20.fX, p20.fY, p2Seed.fX, p2Seed.fY, p22.fX, p22.fY); 501 #endif 502 } 503 504 static void QuadraticIntersection_IntersectionFinder() { 505 intersectionFinder(0, 1); 506 } 507 508 DEF_TEST(PathOpsQuadIntersection, reporter) { 509 oneOffTests(reporter); 510 coincidentTest(reporter); 511 standardTestCases(reporter); 512 if (false) QuadraticIntersection_IntersectionFinder(); 513 if (false) QuadraticIntersection_PointFinder(); 514 } 515
