/* * Copyright 2012 Google Inc. * * Use of this source code is governed by a BSD-style license that can be * found in the LICENSE file. */ #include "PathOpsCubicIntersectionTestData.h" #include "PathOpsTestCommon.h" #include "SkIntersections.h" #include "SkPathOpsRect.h" #include "SkReduceOrder.h" #include "Test.h" #include "TestClassDef.h" const int firstCubicIntersectionTest = 9; static void standardTestCases(skiatest::Reporter* reporter) { for (size_t index = firstCubicIntersectionTest; index < tests_count; ++index) { int iIndex = static_cast(index); const SkDCubic& cubic1 = tests[index][0]; const SkDCubic& cubic2 = tests[index][1]; SkReduceOrder reduce1, reduce2; int order1 = reduce1.reduce(cubic1, SkReduceOrder::kNo_Quadratics); int order2 = reduce2.reduce(cubic2, SkReduceOrder::kNo_Quadratics); const bool showSkipped = false; if (order1 < 4) { if (showSkipped) { SkDebugf("%s [%d] cubic1 order=%d\n", __FUNCTION__, iIndex, order1); } continue; } if (order2 < 4) { if (showSkipped) { SkDebugf("%s [%d] cubic2 order=%d\n", __FUNCTION__, iIndex, order2); } continue; } SkIntersections tIntersections; tIntersections.intersect(cubic1, cubic2); if (!tIntersections.used()) { if (showSkipped) { SkDebugf("%s [%d] no intersection\n", __FUNCTION__, iIndex); } continue; } if (tIntersections.isCoincident(0)) { if (showSkipped) { SkDebugf("%s [%d] coincident\n", __FUNCTION__, iIndex); } continue; } for (int pt = 0; pt < tIntersections.used(); ++pt) { double tt1 = tIntersections[0][pt]; SkDPoint xy1 = cubic1.ptAtT(tt1); double tt2 = tIntersections[1][pt]; SkDPoint xy2 = cubic2.ptAtT(tt2); if (!xy1.approximatelyEqual(xy2)) { SkDebugf("%s [%d,%d] x!= t1=%g (%g,%g) t2=%g (%g,%g)\n", __FUNCTION__, (int)index, pt, tt1, xy1.fX, xy1.fY, tt2, xy2.fX, xy2.fY); } REPORTER_ASSERT(reporter, xy1.approximatelyEqual(xy2)); } reporter->bumpTestCount(); } } static const SkDCubic testSet[] = { // FIXME: uncommenting these two will cause this to fail // this results in two curves very nearly but not exactly coincident #if 0 {{{67.426548091427676, 37.993772624988935}, {23.483695892376684, 90.476863174921306}, {35.597065061143162, 79.872482633158796}, {75.38634169631932, 18.244890038969412}}}, {{{67.4265481, 37.9937726}, {23.4836959, 90.4768632}, {35.5970651, 79.8724826}, {75.3863417, 18.24489}}}, #endif {{{0, 0}, {0, 1}, {1, 1}, {1, 0}}}, {{{1, 0}, {0, 0}, {0, 1}, {1, 1}}}, {{{0, 1}, {4, 5}, {1, 0}, {5, 3}}}, {{{0, 1}, {3, 5}, {1, 0}, {5, 4}}}, {{{0, 1}, {1, 6}, {1, 0}, {1, 0}}}, {{{0, 1}, {0, 1}, {1, 0}, {6, 1}}}, {{{0, 1}, {3, 4}, {1, 0}, {5, 1}}}, {{{0, 1}, {1, 5}, {1, 0}, {4, 3}}}, {{{0, 1}, {1, 2}, {1, 0}, {6, 1}}}, {{{0, 1}, {1, 6}, {1, 0}, {2, 1}}}, {{{0, 1}, {0, 5}, {1, 0}, {4, 0}}}, {{{0, 1}, {0, 4}, {1, 0}, {5, 0}}}, {{{0, 1}, {3, 4}, {1, 0}, {3, 0}}}, {{{0, 1}, {0, 3}, {1, 0}, {4, 3}}}, {{{0, 0}, {1, 2}, {3, 4}, {4, 4}}}, {{{0, 0}, {1, 2}, {3, 4}, {4, 4}}}, {{{4, 4}, {3, 4}, {1, 2}, {0, 0}}}, {{{0, 1}, {2, 3}, {1, 0}, {1, 0}}}, {{{0, 1}, {0, 1}, {1, 0}, {3, 2}}}, {{{0, 2}, {0, 1}, {1, 0}, {1, 0}}}, {{{0, 1}, {0, 1}, {2, 0}, {1, 0}}}, {{{0, 1}, {0, 2}, {1, 0}, {1, 0}}}, {{{0, 1}, {0, 1}, {1, 0}, {2, 0}}}, {{{0, 1}, {1, 6}, {1, 0}, {2, 0}}}, {{{0, 1}, {0, 2}, {1, 0}, {6, 1}}}, {{{0, 1}, {5, 6}, {1, 0}, {1, 0}}}, {{{0, 1}, {0, 1}, {1, 0}, {6, 5}}}, {{{95.837747722788592, 45.025976907939643}, {16.564570095652982, 0.72959763963222402}, {63.209855865319199, 68.047528419665767}, {57.640240647662544, 59.524565264361243}}}, {{{51.593891741518817, 38.53849970667553}, {62.34752929878772, 74.924924725166022}, {74.810149322641152, 34.17966562983564}, {29.368398119401373, 94.66719277886078}}}, {{{39.765160968417838, 33.060396198677083}, {5.1922921581157908, 66.854301452103215}, {31.619281802149157, 25.269248720849514}, {81.541621071073038, 70.025341524754353}}}, {{{46.078911165743556, 48.259962651999651}, {20.24450549867214, 49.403916182650214}, {0.26325131778756683, 24.46489805563581}, {15.915006546264051, 83.515023059917155}}}, {{{65.454505973241524, 93.881892270353575}, {45.867360264932437, 92.723972719499827}, {2.1464054482739447, 74.636369140183717}, {33.774068594804994, 40.770872887582925}}}, {{{72.963387832494163, 95.659300729473728}, {11.809496633619768, 82.209921247423594}, {13.456139067865974, 57.329313623406605}, {36.060621606214262, 70.867335643091849}}}, {{{32.484981432782945, 75.082940782924624}, {42.467313093350882, 48.131159948246157}, {3.5963115764764657, 43.208665839959245}, {79.442476890721579, 89.709102357602262}}}, {{{18.98573861410177, 93.308887208490106}, {40.405250173250792, 91.039661826118675}, {8.0467721950480584, 42.100282172719147}, {40.883324221187891, 26.030185504830527}}}, {{{7.5374809128872498, 82.441702896003477}, {22.444346930107265, 22.138854312775123}, {66.76091829629658, 50.753805856571446}, {78.193478508942519, 97.7932997968948}}}, {{{97.700573130371311, 53.53260215070685}, {87.72443481149358, 84.575876772671876}, {19.215031396232092, 47.032676472809484}, {11.989686410869325, 10.659507480757082}}}, {{{26.192053931854691, 9.8504326817814416}, {10.174241480498686, 98.476562741434464}, {21.177712558385782, 33.814968789841501}, {75.329030899018534, 55.02231980442177}}}, {{{56.222082700683771, 24.54395039218662}, {95.589995289030483, 81.050822735322086}, {28.180450866082897, 28.837706255185282}, {60.128952916771617, 87.311672180570511}}}, {{{42.449716172390481, 52.379709366885805}, {27.896043159019225, 48.797373636065686}, {92.770268299044233, 89.899302036454571}, {12.102066544863426, 99.43241951960718}}}, {{{45.77532924980639, 45.958701495993274}, {37.458701356062065, 68.393691335056758}, {37.569326692060258, 27.673713456687381}, {60.674866037757539, 62.47349659096146}}}, {{{67.426548091427676, 37.993772624988935}, {23.483695892376684, 90.476863174921306}, {35.597065061143162, 79.872482633158796}, {75.38634169631932, 18.244890038969412}}}, {{{61.336508189019057, 82.693132843213675}, {44.639380902349664, 54.074825790745592}, {16.815615499771951, 20.049704667203923}, {41.866884958868326, 56.735503699973002}}}, {{{18.1312339, 31.6473732}, {95.5711034, 63.5350219}, {92.3283165, 62.0158945}, {18.5656052, 32.1268808}}}, {{{97.402018, 35.7169972}, {33.1127443, 25.8935163}, {1.13970027, 54.9424981}, {56.4860195, 60.529264}}}, }; const size_t testSetCount = SK_ARRAY_COUNT(testSet); static const SkDCubic newTestSet[] = { {{{275,532}, {277.209137,532}, {279,530.209106}, {279,528}}}, {{{278,529}, {278,530.65686}, {276.65686,532}, {275,532}}}, #if 0 // FIXME: asserts coincidence, not working yet {{{195, 785}, {124.30755615234375, 785}, {67, 841.85986328125}, {67, 912}}}, {{{67, 913}, {67, 842.30755615234375}, {123.85984039306641, 785}, {194, 785}}}, #endif {{{149,710.001465}, {149.000809,712.209961}, {150.791367,714}, {153,714}}}, {{{154,715}, {151.238571,715}, {149,712.761414}, {149,710}}}, {{{1,2}, {1,2}, {2,0}, {6,0}}}, {{{0,2}, {0,6}, {2,1}, {2,1}}}, {{{0,1}, {2,3}, {5,1}, {4,3}}}, {{{1,5}, {3,4}, {1,0}, {3,2}}}, {{{399,657}, {399,661.970581}, {403.029449,666}, {408,666}}}, {{{406,666}, {402.686279,666}, {400,663.313721}, {400,660}}}, {{{0,5}, {3,5}, {3,0}, {3,2}}}, {{{0,3}, {2,3}, {5,0}, {5,3}}}, {{{132, 11419}, {130.89543151855469, 11419}, {130, 11418.1044921875}, {130, 11417}}}, {{{3, 4}, {1, 5}, {4, 3}, {6, 4}}}, {{{3, 4}, {4, 6}, {4, 3}, {5, 1}}}, {{{130.04275512695312, 11417.413085937500 }, {130.23312377929687, 11418.319335937500 }, {131.03707885742187, 11419.000000000000 }, {132.00000000000000, 11419.000000000000 }}}, {{{132.00000000000000, 11419.000000000000 }, {130.89543151855469, 11419.000000000000 }, {130.00000000000000, 11418.104492187500 }, {130.00000000000000, 11417.000000000000 }}}, {{{1.0516976506771041, 2.9684399028541346 }, {1.0604363140895228, 2.9633503074444141 }, {1.0692548215065762, 2.9580354426587459 }, {1.0781560339512140, 2.9525043684031349 }}}, {{{1.0523038101345104, 2.9523755204833737 }, {1.0607035288264237, 2.9580853881628375 }, {1.0690530472271964, 2.9633896794787749 }, {1.0773566568712512, 2.9682969775000219 }}}, {{{1.0386522625066592, 2.9759024812329078 }, {1.0559713690392631, 2.9661782500838885 }, {1.0736041309019990, 2.9555348259177858 }, {1.0915734362784633, 2.9440446879826569 }}}, {{{1.0396670794879301, 2.9435062123457261 }, {1.0565690546812769, 2.9557413250983462 }, {1.0732616463413533, 2.9663369676594282 }, {1.0897791867435489, 2.9753618045797472 }}}, {{{0.8685656183311091, 3.0409266475785208 }, {0.99189542936395292, 3.0212163698184424 }, {1.1302108367493320, 2.9265646471747306 }, {1.2952305904872474, 2.7940808546473788 }}}, {{{0.85437872843682727, 2.7536036928549055 }, {1.0045584590592620, 2.9493041024831705 }, {1.1336998329885613, 3.0248027987251747 }, {1.2593809752247314, 3.0152560315809107 }}}, {{{0, 1}, {1, 6}, {1, 0}, {6, 2}}}, {{{0, 1}, {2, 6}, {1, 0}, {6, 1}}}, {{{134,11414}, {131.990234375,11414}, {130.32666015625,11415.482421875}, {130.04275512695312,11417.4130859375}}}, {{{132,11419}, {130.89543151855469,11419}, {130,11418.1044921875}, {130,11417}}}, {{{132,11419}, {130.89543151855469,11419}, {130,11418.1044921875}, {130,11417}}}, {{{130.04275512695312,11417.4130859375}, {130.23312377929687,11418.3193359375}, {131.03707885742187,11419}, {132,11419}}}, {{{0, 1}, {2, 3}, {5, 1}, {4, 3}}}, {{{1, 5}, {3, 4}, {1, 0}, {3, 2}}}, {{{3, 5}, {1, 6}, {5, 0}, {3, 1}}}, {{{0, 5}, {1, 3}, {5, 3}, {6, 1}}}, {{{0, 1}, {1, 5}, {1, 0}, {1, 0}}}, {{{0, 1}, {0, 1}, {1, 0}, {5, 1}}}, {{{1, 3}, {5, 6}, {5, 3}, {5, 4}}}, {{{3, 5}, {4, 5}, {3, 1}, {6, 5}}}, {{{0, 5}, {0, 5}, {5, 4}, {6, 4}}}, {{{4, 5}, {4, 6}, {5, 0}, {5, 0}}}, {{{0, 4}, {1, 3}, {5, 4}, {4, 2}}}, {{{4, 5}, {2, 4}, {4, 0}, {3, 1}}}, {{{0, 2}, {1, 5}, {3, 2}, {4, 1}}}, {{{2, 3}, {1, 4}, {2, 0}, {5, 1}}}, {{{0, 2}, {2, 3}, {5, 1}, {3, 2}}}, {{{1, 5}, {2, 3}, {2, 0}, {3, 2}}}, {{{2, 6}, {4, 5}, {1, 0}, {6, 1}}}, {{{0, 1}, {1, 6}, {6, 2}, {5, 4}}}, {{{0, 1}, {1, 2}, {6, 5}, {5, 4}}}, {{{5, 6}, {4, 5}, {1, 0}, {2, 1}}}, {{{2.5119999999999996, 1.5710000000000002}, {2.6399999999999983, 1.6599999999999997}, {2.8000000000000007, 1.8000000000000003}, {3, 2}}}, {{{2.4181876227114887, 1.9849772580462195}, {2.8269904869227211, 2.009330650246834}, {3.2004679292461624, 1.9942047174679169}, {3.4986199496818058, 2.0035994597094731}}}, {{{2, 3}, {1, 4}, {1, 0}, {6, 0}}}, {{{0, 1}, {0, 6}, {3, 2}, {4, 1}}}, {{{0, 2}, {1, 5}, {1, 0}, {6, 1}}}, {{{0, 1}, {1, 6}, {2, 0}, {5, 1}}}, {{{0, 1}, {1, 5}, {2, 1}, {4, 0}}}, {{{1, 2}, {0, 4}, {1, 0}, {5, 1}}}, {{{0, 1}, {3, 5}, {2, 1}, {3, 1}}}, {{{1, 2}, {1, 3}, {1, 0}, {5, 3}}}, {{{0, 1}, {2, 5}, {6, 0}, {5, 3}}}, {{{0, 6}, {3, 5}, {1, 0}, {5, 2}}}, {{{0, 1}, {3, 6}, {1, 0}, {5, 2}}}, {{{0, 1}, {2, 5}, {1, 0}, {6, 3}}}, {{{1, 2}, {5, 6}, {1, 0}, {1, 0}}}, {{{0, 1}, {0, 1}, {2, 1}, {6, 5}}}, {{{0, 6}, {1, 2}, {1, 0}, {1, 0}}}, {{{0, 1}, {0, 1}, {6, 0}, {2, 1}}}, {{{0, 2}, {0, 1}, {3, 0}, {1, 0}}}, {{{0, 3}, {0, 1}, {2, 0}, {1, 0}}}, }; const size_t newTestSetCount = SK_ARRAY_COUNT(newTestSet); static void oneOff(skiatest::Reporter* reporter, const SkDCubic& cubic1, const SkDCubic& cubic2, bool coin) { SkASSERT(ValidCubic(cubic1)); SkASSERT(ValidCubic(cubic2)); #if ONE_OFF_DEBUG SkDebugf("computed quadratics given\n"); SkDebugf(" {{%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}},\n", cubic1[0].fX, cubic1[0].fY, cubic1[1].fX, cubic1[1].fY, cubic1[2].fX, cubic1[2].fY, cubic1[3].fX, cubic1[3].fY); SkDebugf(" {{%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}},\n", cubic2[0].fX, cubic2[0].fY, cubic2[1].fX, cubic2[1].fY, cubic2[2].fX, cubic2[2].fY, cubic2[3].fX, cubic2[3].fY); #endif SkTArray quads1; CubicToQuads(cubic1, cubic1.calcPrecision(), quads1); #if ONE_OFF_DEBUG SkDebugf("computed quadratics set 1\n"); for (int index = 0; index < quads1.count(); ++index) { const SkDQuad& q = quads1[index]; SkDebugf(" {{%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}},\n", q[0].fX, q[0].fY, q[1].fX, q[1].fY, q[2].fX, q[2].fY); } #endif SkTArray quads2; CubicToQuads(cubic2, cubic2.calcPrecision(), quads2); #if ONE_OFF_DEBUG SkDebugf("computed quadratics set 2\n"); for (int index = 0; index < quads2.count(); ++index) { const SkDQuad& q = quads2[index]; SkDebugf(" {{%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}},\n", q[0].fX, q[0].fY, q[1].fX, q[1].fY, q[2].fX, q[2].fY); } #endif SkIntersections intersections; intersections.intersect(cubic1, cubic2); REPORTER_ASSERT(reporter, !coin || intersections.used() == 2); double tt1, tt2; SkDPoint xy1, xy2; for (int pt3 = 0; pt3 < intersections.used(); ++pt3) { tt1 = intersections[0][pt3]; xy1 = cubic1.ptAtT(tt1); tt2 = intersections[1][pt3]; xy2 = cubic2.ptAtT(tt2); const SkDPoint& iPt = intersections.pt(pt3); #if ONE_OFF_DEBUG SkDebugf("%s t1=%1.9g (%1.9g, %1.9g) (%1.9g, %1.9g) (%1.9g, %1.9g) t2=%1.9g\n", __FUNCTION__, tt1, xy1.fX, xy1.fY, iPt.fX, iPt.fY, xy2.fX, xy2.fY, tt2); #endif REPORTER_ASSERT(reporter, xy1.approximatelyEqual(iPt)); REPORTER_ASSERT(reporter, xy2.approximatelyEqual(iPt)); REPORTER_ASSERT(reporter, xy1.approximatelyEqual(xy2)); } reporter->bumpTestCount(); } static void oneOff(skiatest::Reporter* reporter, int outer, int inner) { const SkDCubic& cubic1 = testSet[outer]; const SkDCubic& cubic2 = testSet[inner]; oneOff(reporter, cubic1, cubic2, false); } static void newOneOff(skiatest::Reporter* reporter, int outer, int inner) { const SkDCubic& cubic1 = newTestSet[outer]; const SkDCubic& cubic2 = newTestSet[inner]; oneOff(reporter, cubic1, cubic2, false); } static void oneOffTests(skiatest::Reporter* reporter) { for (size_t outer = 0; outer < testSetCount - 1; ++outer) { for (size_t inner = outer + 1; inner < testSetCount; ++inner) { oneOff(reporter, outer, inner); } } for (size_t outer = 0; outer < newTestSetCount - 1; ++outer) { for (size_t inner = outer + 1; inner < newTestSetCount; ++inner) { newOneOff(reporter, outer, inner); } } } #define DEBUG_CRASH 0 static void CubicIntersection_RandTest(skiatest::Reporter* reporter) { srand(0); const int tests = 10000000; #if !defined(SK_BUILD_FOR_WIN) && !defined(SK_BUILD_FOR_ANDROID) unsigned seed = 0; #endif for (int test = 0; test < tests; ++test) { SkDCubic cubic1, cubic2; for (int i = 0; i < 4; ++i) { cubic1[i].fX = static_cast(SK_RAND(seed)) / RAND_MAX * 100; cubic1[i].fY = static_cast(SK_RAND(seed)) / RAND_MAX * 100; cubic2[i].fX = static_cast(SK_RAND(seed)) / RAND_MAX * 100; cubic2[i].fY = static_cast(SK_RAND(seed)) / RAND_MAX * 100; } #if DEBUG_CRASH char str[1024]; snprintf(str, sizeof(str), "{{{%1.9g, %1.9g}, {%1.9g, %1.9g}, {%1.9g, %1.9g}, {%1.9g, %1.9g}}},\n" "{{{%1.9g, %1.9g}, {%1.9g, %1.9g}, {%1.9g, %1.9g}, {%1.9g, %1.9g}}},\n", cubic1[0].fX, cubic1[0].fY, cubic1[1].fX, cubic1[1].fY, cubic1[2].fX, cubic1[2].fY, cubic1[3].fX, cubic1[3].fY, cubic2[0].fX, cubic2[0].fY, cubic2[1].fX, cubic2[1].fY, cubic2[2].fX, cubic2[2].fY, cubic2[3].fX, cubic2[3].fY); #endif SkDRect rect1, rect2; rect1.setBounds(cubic1); rect2.setBounds(cubic2); bool boundsIntersect = rect1.fLeft <= rect2.fRight && rect2.fLeft <= rect2.fRight && rect1.fTop <= rect2.fBottom && rect2.fTop <= rect1.fBottom; if (test == -1) { SkDebugf("ready...\n"); } SkIntersections intersections2; int newIntersects = intersections2.intersect(cubic1, cubic2); if (!boundsIntersect && newIntersects) { #if DEBUG_CRASH SkDebugf("%s %d unexpected intersection boundsIntersect=%d " " newIntersects=%d\n%s %s\n", __FUNCTION__, test, boundsIntersect, newIntersects, __FUNCTION__, str); #endif REPORTER_ASSERT(reporter, 0); } for (int pt = 0; pt < intersections2.used(); ++pt) { double tt1 = intersections2[0][pt]; SkDPoint xy1 = cubic1.ptAtT(tt1); double tt2 = intersections2[1][pt]; SkDPoint xy2 = cubic2.ptAtT(tt2); REPORTER_ASSERT(reporter, xy1.approximatelyEqual(xy2)); } reporter->bumpTestCount(); } } static void intersectionFinder(int index0, int index1, double t1Seed, double t2Seed, double t1Step, double t2Step) { const SkDCubic& cubic1 = newTestSet[index0]; const SkDCubic& cubic2 = newTestSet[index1]; SkDPoint t1[3], t2[3]; bool toggle = true; do { t1[0] = cubic1.ptAtT(t1Seed - t1Step); t1[1] = cubic1.ptAtT(t1Seed); t1[2] = cubic1.ptAtT(t1Seed + t1Step); t2[0] = cubic2.ptAtT(t2Seed - t2Step); t2[1] = cubic2.ptAtT(t2Seed); t2[2] = cubic2.ptAtT(t2Seed + t2Step); double dist[3][3]; dist[1][1] = t1[1].distance(t2[1]); int best_i = 1, best_j = 1; for (int i = 0; i < 3; ++i) { for (int j = 0; j < 3; ++j) { if (i == 1 && j == 1) { continue; } dist[i][j] = t1[i].distance(t2[j]); if (dist[best_i][best_j] > dist[i][j]) { best_i = i; best_j = j; } } } if (best_i == 0) { t1Seed -= t1Step; } else if (best_i == 2) { t1Seed += t1Step; } if (best_j == 0) { t2Seed -= t2Step; } else if (best_j == 2) { t2Seed += t2Step; } if (best_i == 1 && best_j == 1) { if ((toggle ^= true)) { t1Step /= 2; } else { t2Step /= 2; } } } while (!t1[1].approximatelyEqual(t2[1])); t1Step = t2Step = 0.1; double t10 = t1Seed - t1Step * 2; double t12 = t1Seed + t1Step * 2; double t20 = t2Seed - t2Step * 2; double t22 = t2Seed + t2Step * 2; SkDPoint test; while (!approximately_zero(t1Step)) { test = cubic1.ptAtT(t10); t10 += t1[1].approximatelyEqual(test) ? -t1Step : t1Step; t1Step /= 2; } t1Step = 0.1; while (!approximately_zero(t1Step)) { test = cubic1.ptAtT(t12); t12 -= t1[1].approximatelyEqual(test) ? -t1Step : t1Step; t1Step /= 2; } while (!approximately_zero(t2Step)) { test = cubic2.ptAtT(t20); t20 += t2[1].approximatelyEqual(test) ? -t2Step : t2Step; t2Step /= 2; } t2Step = 0.1; while (!approximately_zero(t2Step)) { test = cubic2.ptAtT(t22); t22 -= t2[1].approximatelyEqual(test) ? -t2Step : t2Step; t2Step /= 2; } #if ONE_OFF_DEBUG SkDebugf("%s t1=(%1.9g<%1.9g<%1.9g) t2=(%1.9g<%1.9g<%1.9g)\n", __FUNCTION__, t10, t1Seed, t12, t20, t2Seed, t22); SkDPoint p10 = cubic1.ptAtT(t10); SkDPoint p1Seed = cubic1.ptAtT(t1Seed); SkDPoint p12 = cubic1.ptAtT(t12); SkDebugf("%s p1=(%1.9g,%1.9g)<(%1.9g,%1.9g)<(%1.9g,%1.9g)\n", __FUNCTION__, p10.fX, p10.fY, p1Seed.fX, p1Seed.fY, p12.fX, p12.fY); SkDPoint p20 = cubic2.ptAtT(t20); SkDPoint p2Seed = cubic2.ptAtT(t2Seed); SkDPoint p22 = cubic2.ptAtT(t22); SkDebugf("%s p2=(%1.9g,%1.9g)<(%1.9g,%1.9g)<(%1.9g,%1.9g)\n", __FUNCTION__, p20.fX, p20.fY, p2Seed.fX, p2Seed.fY, p22.fX, p22.fY); #endif } static void CubicIntersection_IntersectionFinder() { // double t1Seed = 0.87; // double t2Seed = 0.87; double t1Step = 0.000001; double t2Step = 0.000001; intersectionFinder(0, 1, 0.855895664, 0.864850875, t1Step, t2Step); intersectionFinder(0, 1, 0.865207906, 0.865207887, t1Step, t2Step); intersectionFinder(0, 1, 0.865213351, 0.865208087, t1Step, t2Step); } static const SkDCubic selfSet[] = { {{{2, 3}, {0, 4}, {3, 2}, {5, 3}}}, {{{3, 6}, {2, 3}, {4, 0}, {3, 2}}}, {{{0, 2}, {2, 3}, {5, 1}, {3, 2}}}, {{{0, 2}, {3, 5}, {5, 0}, {4, 2}}}, {{{3.34, 8.98}, {1.95, 10.27}, {3.76, 7.65}, {4.96, 10.64}}}, {{{3.13, 2.74}, {1.08, 4.62}, {3.71, 0.94}, {2.01, 3.81}}}, {{{6.71, 3.14}, {7.99, 2.75}, {8.27, 1.96}, {6.35, 3.57}}}, {{{12.81, 7.27}, {7.22, 6.98}, {12.49, 8.97}, {11.42, 6.18}}}, }; size_t selfSetCount = SK_ARRAY_COUNT(selfSet); static void selfOneOff(skiatest::Reporter* reporter, int index) { const SkDCubic& cubic = selfSet[index]; #if ONE_OFF_DEBUG int idx2; double max[3]; int ts = cubic.findMaxCurvature(max); for (idx2 = 0; idx2 < ts; ++idx2) { SkDebugf("%s max[%d]=%1.9g (%1.9g, %1.9g)\n", __FUNCTION__, idx2, max[idx2], cubic.ptAtT(max[idx2]).fX, cubic.ptAtT(max[idx2]).fY); } SkTArray ts1; SkTArray quads1; cubic.toQuadraticTs(cubic.calcPrecision(), &ts1); for (idx2 = 0; idx2 < ts1.count(); ++idx2) { SkDebugf("%s t[%d]=%1.9g\n", __FUNCTION__, idx2, ts1[idx2]); } CubicToQuads(cubic, cubic.calcPrecision(), quads1); for (idx2 = 0; idx2 < quads1.count(); ++idx2) { const SkDQuad& q = quads1[idx2]; SkDebugf(" {{{%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}}},\n", q[0].fX, q[0].fY, q[1].fX, q[1].fY, q[2].fX, q[2].fY); } SkDebugf("\n"); #endif SkIntersections i; int result = i.intersect(cubic); REPORTER_ASSERT(reporter, result == 1); REPORTER_ASSERT(reporter, i.used() == 1); REPORTER_ASSERT(reporter, !approximately_equal(i[0][0], i[1][0])); SkDPoint pt1 = cubic.ptAtT(i[0][0]); SkDPoint pt2 = cubic.ptAtT(i[1][0]); REPORTER_ASSERT(reporter, pt1.approximatelyEqual(pt2)); reporter->bumpTestCount(); } static void cubicIntersectionSelfTest(skiatest::Reporter* reporter) { size_t firstFail = 0; for (size_t index = firstFail; index < selfSetCount; ++index) { selfOneOff(reporter, index); } } static const SkDCubic coinSet[] = { {{{317, 711}, {322.52285766601562, 711}, {327, 715.4771728515625}, {327, 721}}}, {{{324.07107543945312, 713.928955078125}, {324.4051513671875, 714.26300048828125}, {324.71566772460937, 714.62060546875}, {325, 714.9990234375}}}, {{{2, 3}, {0, 4}, {3, 2}, {5, 3}}}, {{{2, 3}, {0, 4}, {3, 2}, {5, 3}}}, }; size_t coinSetCount = SK_ARRAY_COUNT(coinSet); static void coinOneOff(skiatest::Reporter* reporter, int index) { const SkDCubic& cubic1 = coinSet[index]; const SkDCubic& cubic2 = coinSet[index + 1]; oneOff(reporter, cubic1, cubic2, true); } static void cubicIntersectionCoinTest(skiatest::Reporter* reporter) { size_t firstFail = 0; for (size_t index = firstFail; index < coinSetCount; index += 2) { coinOneOff(reporter, index); } } DEF_TEST(PathOpsCubicCoinOneOff, reporter) { coinOneOff(reporter, 0); } DEF_TEST(PathOpsCubicIntersectionOneOff, reporter) { newOneOff(reporter, 0, 1); } DEF_TEST(PathOpsCubicSelfOneOff, reporter) { selfOneOff(reporter, 0); } DEF_TEST(PathOpsCubicIntersection, reporter) { oneOffTests(reporter); cubicIntersectionSelfTest(reporter); cubicIntersectionCoinTest(reporter); standardTestCases(reporter); if (false) CubicIntersection_IntersectionFinder(); if (false) CubicIntersection_RandTest(reporter); }