skia2/tests/PathOpsCubicIntersectionTest.cpp

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/*
* 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 "SkGeometry.h"
#include "SkIntersections.h"
#include "SkPathOpsRect.h"
#include "SkReduceOrder.h"
#include "Test.h"
#include <stdlib.h>
const int firstCubicIntersectionTest = 9;
static void standardTestCases(skiatest::Reporter* reporter) {
for (size_t index = firstCubicIntersectionTest; index < tests_count; ++index) {
int iIndex = static_cast<int>(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 int testSetCount = (int) SK_ARRAY_COUNT(testSet);
static const SkDCubic newTestSet[] = {
{{{1,3}, {-1.0564518,1.79032254}, {1.45265341,0.229448318}, {1.45381773,0.22913377}}},
{{{1.45381773,0.22913377}, {1.45425761,0.229014933}, {1.0967741,0.451612949}, {0,1}}},
{{{1.64551306f, 3.57876182f}, {0.298127174f, 3.70454836f}, {-0.809808373f, 6.39524937f}, {-3.66666651f, 13.333334f}}},
{{{1, 2}, {1, 2}, {-3.66666651f, 13.333334f}, {5, 6}}},
{{{0.0660428554,1.65340209}, {-0.251940489,1.43560803}, {-0.782382965,-0.196299091}, {3.33333325,-0.666666627}}},
{{{1,3}, {-1.22353387,1.09411383}, {0.319867611,0.12996155}, {0.886705518,0.107543148}}},
{{{-0.13654758,2.10514426}, {-0.585797966,1.89349782}, {-0.807703257,-0.192306399}, {6,-1}}},
{{{1,4}, {-2.25000453,1.42241001}, {1.1314013,0.0505309105}, {1.87140274,0.0363764353}}},
{{{1.3127951622009277, 2.0637707710266113}, {1.8210518360137939, 1.9148571491241455}, {1.6106204986572266, -0.68700540065765381}, {8.5, -2.5}}},
{{{3, 4}, {0.33333325386047363, 1.3333332538604736}, {3.6666667461395264, -0.66666674613952637}, {3.6666665077209473, -0.66666656732559204}}},
{{{980.026001,1481.276}, {980.026001,1481.276}, {980.02594,1481.27576}, {980.025879,1481.27527}}},
{{{980.025879,1481.27527}, {980.025452,1481.27222}, {980.023743,1481.26038}, {980.02179,1481.24072}}},
{{{1.80943513,3.07782435}, {1.66686702,2.16806936}, {1.68301272,0}, {3,0}}},
{{{0,1}, {0,3}, {3,2}, {5,2}}},
{{{3.4386673,2.66977954}, {4.06668949,2.17046738}, {4.78887367,1.59629118}, {6,2}}},
{{{1.71985495,3.49467373}, {2.11620402,2.7201426}, {2.91897964,1.15138781}, {6,3}}},
{{{0,1}, {0.392703831,1.78540766}, {0.219947904,2.05676103}, {0.218561709,2.05630541}}},
{{{0.218561709,2.05630541}, {0.216418028,2.05560064}, {0.624105453,1.40486407}, {4.16666651,1.00000012}}},
{{{0, 1}, {3, 5}, {2, 1}, {3, 1}}},
{{{1.01366711f, 2.21379328f}, {1.09074128f, 2.23241305f}, {1.60246587f, 0.451849401f}, {5, 3}}},
{{{0, 1}, {0.541499972f, 3.16599989f}, {1.08299994f, 2.69299984f}, {2.10083938f, 1.80391729f}}},
{{{0.806384504f, 2.85426903f}, {1.52740121f, 1.99355423f}, {2.81689167f, 0.454222918f}, {5, 1}}},
{{{0, 1}, {1.90192389f, 2.90192389f}, {2.59807634f, 2.79422879f}, {3.1076951f, 2.71539044f}}},
{{{2, 3}, {2.36602545f, 3.36602545f}, {2.330127f, 3.06217766f}, {2.28460979f, 2.67691422f}}},
{{{0, 1}, {1.90192389f, 2.90192389f}, {2.59807634f, 2.79422879f}, {3.1076951f, 2.71539044f}}},
{{{2.28460979f, 2.67691422f}, {2.20577145f, 2.00961876f}, {2.09807634f, 1.09807622f}, {4, 3}}},
{{{0, 1}, {0.8211091160774231, 2.0948121547698975}, {0.91805583238601685, 2.515404224395752}, {0.91621249914169312, 2.5146586894989014}}},
{{{0.91621249914169312, 2.5146586894989014}, {0.91132104396820068, 2.5126807689666748}, {0.21079301834106445, -0.45617169141769409}, {10.5, -1.6666665077209473}}},
{{{42.6237564,68.9841232}, {32.449646,81.963089}, {14.7713947,103.565269}, {12.6310005,105.247002}}},
{{{37.2640038,95.3540039}, {37.2640038,95.3540039}, {11.3710003,83.7339935}, {-25.0779991,124.912003}}},
{{{0,1}, {4,5}, {6,0}, {1,0}}},
{{{0,6}, {0,1}, {1,0}, {5,4}}},
{{{0,1}, {4,6}, {5,1}, {6,2}}},
{{{1,5}, {2,6}, {1,0}, {6,4}}},
{{{322, 896.04803466796875}, {314.09201049804687, 833.4376220703125}, {260.24713134765625, 785}, {195, 785}}},
{{{195, 785}, {265.14016723632812, 785}, {322, 842.30755615234375}, {322, 913}}},
{{{1, 4}, {4, 5}, {3, 2}, {6, 3}}},
{{{2, 3}, {3, 6}, {4, 1}, {5, 4}}},
{{{67, 913}, {67, 917.388916015625}, {67.224380493164063, 921.72576904296875}, {67.662384033203125, 926}}},
{{{194, 1041}, {123.85984039306641, 1041}, {67, 983.69244384765625}, {67, 913}}},
{{{1,4}, {1,5}, {6,0}, {5,1}}},
{{{0,6}, {1,5}, {4,1}, {5,1}}},
{{{0,1}, {4,5}, {6,0}, {1,0}}},
{{{0,6}, {0,1}, {1,0}, {5,4}}},
{{{0,1}, {4,6}, {2,0}, {2,0}}},
{{{0,2}, {0,2}, {1,0}, {6,4}}},
{{{980.9000244140625, 1474.3280029296875}, {980.9000244140625, 1474.3280029296875}, {978.89300537109375, 1471.95703125}, {981.791015625, 1469.487060546875}}},
{{{981.791015625, 1469.487060546875}, {981.791015625, 1469.4859619140625}, {983.3580322265625, 1472.72900390625}, {980.9000244140625, 1474.3280029296875}}},
{{{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 int newTestSetCount = (int) 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
SkIntersections intersections;
intersections.intersect(cubic1, cubic2);
#if DEBUG_T_SECT_DUMP == 3
SkDebugf("</div>\n\n");
SkDebugf("<script type=\"text/javascript\">\n\n");
SkDebugf("var testDivs = [\n");
for (int index = 1; index <= gDumpTSectNum; ++index) {
SkDebugf("sect%d,\n", index);
}
#endif
if (coin && intersections.used() != 2) {
SkDebugf("");
}
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);
}
Enabling clip stack flattening exercises path ops. Iterating through the 903K skps that represent the imagable 1M top web pages triggers a number of bugs, some of which are addressed here. Some web pages trigger intersecting cubic representations of arc with their conic counterparts. This exposed a flaw in coincident detection that caused an infinite loop. The loop alternatively extended the coincident section and, determining the that the bounds of the curve pairs did not overlap, deleted the extension. Track the number of times the coincident detection is called, and if it exceeds an empirically found limit, assume that the curves are coincident and force it to be so. The loop count limit can be determined by enabling DEBUG_T_SECT_LOOP_COUNT and running all tests. The largest count is reported on completion. Another class of bugs was caused by concident detection duplicating nearly identical points that had been merged earlier. To track these bugs, the 'handle coincidence' code was duplicated as a const debug variety that reported if one of a dozen or so irregularities are present; then it is easier to see when a block of code that fixes one irregularity regresses another. Creating the debug const code version exposed some non-debug code that could be const, and some that was experimental and could be removed. Set DEBUG_COINCIDENCE to track coincidence health and handling. For running on Chrome, DEBUG_VERIFY checks the result of pathops against the same operation using SkRegion to verify that the results are nearly the same. When visualizing the pathops work using tools/pathops_visualizer.htm, set DEBUG_DUMP_ALIGNMENT to see the curves after they've been aligned for coincidence. Other bugs fixed include detecting when a section of a pair of curves have devolved into lines and are coincident. TBR=reed@google.com Review URL: https://codereview.chromium.org/1394503003
2015-10-16 16:03:38 +00:00
static void testsOneOff(skiatest::Reporter* reporter, int index) {
const SkDCubic& cubic1 = tests[index][0];
const SkDCubic& cubic2 = tests[index][1];
oneOff(reporter, cubic1, cubic2, false);
}
static void oneOffTests(skiatest::Reporter* reporter) {
for (int outer = 0; outer < testSetCount - 1; ++outer) {
for (int inner = outer + 1; inner < testSetCount; ++inner) {
oneOff(reporter, outer, inner);
}
}
for (int outer = 0; outer < newTestSetCount - 1; ++outer) {
for (int 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<double>(SK_RAND(seed)) / RAND_MAX * 100;
cubic1[i].fY = static_cast<double>(SK_RAND(seed)) / RAND_MAX * 100;
cubic2[i].fX = static_cast<double>(SK_RAND(seed)) / RAND_MAX * 100;
cubic2[i].fY = static_cast<double>(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}}},
};
int selfSetCount = (int) SK_ARRAY_COUNT(selfSet);
static void selfOneOff(skiatest::Reporter* reporter, int index) {
const SkDCubic& cubic = selfSet[index];
SkPoint c[4];
for (int i = 0; i < 4; ++i) {
c[i] = cubic[i].asSkPoint();
}
SkScalar loopT;
SkScalar d[3];
SkCubicType cubicType = SkClassifyCubic(c, d);
if (SkDCubic::ComplexBreak(c, &loopT) && cubicType == SkCubicType::kLoop_SkCubicType) {
SkIntersections i;
SkPoint twoCubics[7];
SkChopCubicAt(c, twoCubics, loopT);
SkDCubic chopped[2];
chopped[0].set(&twoCubics[0]);
chopped[1].set(&twoCubics[3]);
int result = i.intersect(chopped[0], chopped[1]);
REPORTER_ASSERT(reporter, result == 2);
REPORTER_ASSERT(reporter, i.used() == 2);
for (int index = 0; index < result; ++index) {
SkDPoint pt1 = chopped[0].ptAtT(i[0][index]);
SkDPoint pt2 = chopped[1].ptAtT(i[1][index]);
REPORTER_ASSERT(reporter, pt1.approximatelyEqual(pt2));
reporter->bumpTestCount();
}
}
}
static void cubicIntersectionSelfTest(skiatest::Reporter* reporter) {
int firstFail = 0;
for (int index = firstFail; index < selfSetCount; ++index) {
selfOneOff(reporter, index);
}
}
static const SkDCubic coinSet[] = {
Enabling clip stack flattening exercises path ops. Iterating through the 903K skps that represent the imagable 1M top web pages triggers a number of bugs, some of which are addressed here. Some web pages trigger intersecting cubic representations of arc with their conic counterparts. This exposed a flaw in coincident detection that caused an infinite loop. The loop alternatively extended the coincident section and, determining the that the bounds of the curve pairs did not overlap, deleted the extension. Track the number of times the coincident detection is called, and if it exceeds an empirically found limit, assume that the curves are coincident and force it to be so. The loop count limit can be determined by enabling DEBUG_T_SECT_LOOP_COUNT and running all tests. The largest count is reported on completion. Another class of bugs was caused by concident detection duplicating nearly identical points that had been merged earlier. To track these bugs, the 'handle coincidence' code was duplicated as a const debug variety that reported if one of a dozen or so irregularities are present; then it is easier to see when a block of code that fixes one irregularity regresses another. Creating the debug const code version exposed some non-debug code that could be const, and some that was experimental and could be removed. Set DEBUG_COINCIDENCE to track coincidence health and handling. For running on Chrome, DEBUG_VERIFY checks the result of pathops against the same operation using SkRegion to verify that the results are nearly the same. When visualizing the pathops work using tools/pathops_visualizer.htm, set DEBUG_DUMP_ALIGNMENT to see the curves after they've been aligned for coincidence. Other bugs fixed include detecting when a section of a pair of curves have devolved into lines and are coincident. TBR=reed@google.com Review URL: https://codereview.chromium.org/1394503003
2015-10-16 16:03:38 +00:00
{{{72.350448608398438, 27.966041564941406}, {72.58441162109375, 27.861515045166016},
{72.818222045898437, 27.756658554077148}, {73.394996643066406, 27.49799919128418}}},
{{{73.394996643066406, 27.49799919128418}, {72.818222045898437, 27.756658554077148},
{72.58441162109375, 27.861515045166016}, {72.350448608398438, 27.966041564941406}}},
{{{297.04998779296875, 43.928997039794922}, {297.04998779296875, 43.928997039794922},
{300.69699096679688, 45.391998291015625}, {306.92498779296875, 43.08599853515625}}},
{{{297.04998779296875, 43.928997039794922}, {297.04998779296875, 43.928997039794922},
{300.69699096679688, 45.391998291015625}, {306.92498779296875, 43.08599853515625}}},
{{{2, 3}, {0, 4}, {3, 2}, {5, 3}}},
{{{2, 3}, {0, 4}, {3, 2}, {5, 3}}},
{{{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}}},
};
static int coinSetCount = (int) 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) {
int firstFail = 0;
for (int index = firstFail; index < coinSetCount; index += 2) {
coinOneOff(reporter, index);
}
}
DEF_TEST(PathOpsCubicCoinOneOff, reporter) {
coinOneOff(reporter, 0);
}
DEF_TEST(PathOpsCubicIntersectionOneOff, reporter) {
Enabling clip stack flattening exercises path ops. Iterating through the 903K skps that represent the imagable 1M top web pages triggers a number of bugs, some of which are addressed here. Some web pages trigger intersecting cubic representations of arc with their conic counterparts. This exposed a flaw in coincident detection that caused an infinite loop. The loop alternatively extended the coincident section and, determining the that the bounds of the curve pairs did not overlap, deleted the extension. Track the number of times the coincident detection is called, and if it exceeds an empirically found limit, assume that the curves are coincident and force it to be so. The loop count limit can be determined by enabling DEBUG_T_SECT_LOOP_COUNT and running all tests. The largest count is reported on completion. Another class of bugs was caused by concident detection duplicating nearly identical points that had been merged earlier. To track these bugs, the 'handle coincidence' code was duplicated as a const debug variety that reported if one of a dozen or so irregularities are present; then it is easier to see when a block of code that fixes one irregularity regresses another. Creating the debug const code version exposed some non-debug code that could be const, and some that was experimental and could be removed. Set DEBUG_COINCIDENCE to track coincidence health and handling. For running on Chrome, DEBUG_VERIFY checks the result of pathops against the same operation using SkRegion to verify that the results are nearly the same. When visualizing the pathops work using tools/pathops_visualizer.htm, set DEBUG_DUMP_ALIGNMENT to see the curves after they've been aligned for coincidence. Other bugs fixed include detecting when a section of a pair of curves have devolved into lines and are coincident. TBR=reed@google.com Review URL: https://codereview.chromium.org/1394503003
2015-10-16 16:03:38 +00:00
newOneOff(reporter, 66, 70);
}
DEF_TEST(PathOpsCubicIntersectionTestsOneOff, reporter) {
testsOneOff(reporter, 10);
}
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);
}