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