| /* |
| * 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 "CurveIntersection.h" |
| #include "CurveUtilities.h" |
| #include "Intersection_Tests.h" |
| #include "Intersections.h" |
| #include "QuadraticIntersection_TestData.h" |
| #include "TestUtilities.h" |
| #include "SkTypes.h" |
| |
| const int firstQuadIntersectionTest = 9; |
| |
| static void standardTestCases() { |
| for (size_t index = firstQuadIntersectionTest; index < quadraticTests_count; ++index) { |
| const Quadratic& quad1 = quadraticTests[index][0]; |
| const Quadratic& quad2 = quadraticTests[index][1]; |
| Quadratic reduce1, reduce2; |
| int order1 = reduceOrder(quad1, reduce1); |
| int order2 = reduceOrder(quad2, reduce2); |
| if (order1 < 3) { |
| printf("[%d] quad1 order=%d\n", (int) index, order1); |
| } |
| if (order2 < 3) { |
| printf("[%d] quad2 order=%d\n", (int) index, order2); |
| } |
| if (order1 == 3 && order2 == 3) { |
| Intersections intersections, intersections2; |
| intersect(reduce1, reduce2, intersections); |
| intersect2(reduce1, reduce2, intersections2); |
| SkASSERT(intersections.used() == intersections2.used()); |
| if (intersections.intersected()) { |
| for (int pt = 0; pt < intersections.used(); ++pt) { |
| double tt1 = intersections.fT[0][pt]; |
| double tx1, ty1; |
| xy_at_t(quad1, tt1, tx1, ty1); |
| double tt2 = intersections.fT[1][pt]; |
| double tx2, ty2; |
| xy_at_t(quad2, tt2, tx2, ty2); |
| if (!approximately_equal(tx1, tx2)) { |
| printf("%s [%d,%d] x!= t1=%g (%g,%g) t2=%g (%g,%g)\n", |
| __FUNCTION__, (int)index, pt, tt1, tx1, ty1, tt2, tx2, ty2); |
| } |
| if (!approximately_equal(ty1, ty2)) { |
| printf("%s [%d,%d] y!= t1=%g (%g,%g) t2=%g (%g,%g)\n", |
| __FUNCTION__, (int)index, pt, tt1, tx1, ty1, tt2, tx2, ty2); |
| } |
| tt1 = intersections2.fT[0][pt]; |
| SkASSERT(approximately_equal(intersections.fT[0][pt], tt1)); |
| tt2 = intersections2.fT[1][pt]; |
| SkASSERT(approximately_equal(intersections.fT[1][pt], tt2)); |
| } |
| } |
| } |
| } |
| } |
| |
| static const Quadratic testSet[] = { |
| {{53.774852327053594, 53.318060789841951}, {45.787877803416805, 51.393492026284981}, {46.703936967162392, 53.06860709822206}}, |
| {{46.703936967162392, 53.06860709822206}, {47.619996130907957, 54.74372217015916}, {53.020051653535361, 48.633140968832024}}, |
| |
| {{67.4265481,37.9937726}, {51.1295132,57.5422812}, {44.5947482,65.6442674}}, |
| {{61.3365082,82.6931328}, {54.8250789,71.6639328}, {47.7274442,61.4049645}}, |
| |
| {{50.934805397717923, 51.52391952648901}, {56.803308902971423, 44.246234610627596}, {69.776888596721406, 40.166645096692555}}, |
| {{50.230212796400401, 38.386469101526998}, {49.855620812184917, 38.818990392153609}, {56.356567496227363, 47.229909093319407}}, |
| |
| {{36.148792695174222, 70.336952793070424}, {36.141613037691357, 70.711654739870085}, {36.154708826402597, 71.088492662905836}}, |
| {{35.216235592661825, 70.580199617313212}, {36.244476835123969, 71.010897787304074}, {37.230244263238326, 71.423156953613102}}, |
| |
| // this pair is nearly coincident, and causes the quartic code to produce bad |
| // data. Mathematica doesn't think they touch. Graphically, I can't tell. |
| // it may not be so bad to pretend that they don't touch, if I can detect that |
| {{369.848602,145.680267}, {382.360413,121.298294}, {406.207703,121.298294}}, |
| {{369.850525,145.675964}, {382.362915,121.29287}, {406.211273,121.29287}}, |
| |
| {{33.567436351153468, 62.336347586395924}, {35.200980274619084, 65.038561460144479}, {36.479571811084995, 67.632178905412445}}, |
| {{41.349524945572696, 67.886658677862641}, {39.125562529359087, 67.429772735149214}, {35.600314083992416, 66.705372160552685}}, |
| |
| {{67.25299631583178, 21.109080184767524}, {43.617595267398613, 33.658034168577529}, {33.38371819435676, 44.214192553988745}}, |
| {{40.476838859398541, 39.543209911285999}, {36.701186108431131, 34.8817994016458}, {30.102144288878023, 26.739063172945315}}, |
| |
| {{25.367434474345036, 50.4712103169743}, {17.865013304933097, 37.356741010559439}, {16.818988838905465, 37.682915484123129}}, |
| {{16.818988838905465, 37.682915484123129}, {15.772964372877833, 38.009089957686811}, {20.624104547604965, 41.825131596683121}}, |
| |
| {{26.440225044088567, 79.695009812848298}, {26.085525979582247, 83.717928354134784}, {27.075079976297072, 84.820633667838905}}, |
| {{27.075079976297072, 84.820633667838905}, {28.276546859574015, 85.988574184029034}, {25.649263209500006, 87.166762066617025}}, |
| |
| {{34.879150914024962, 83.862726601601125}, {35.095810134304429, 83.693473210169543}, {35.359284111931586, 83.488069234177502}}, |
| {{54.503204203015471, 76.094098492518242}, {51.366889541918894, 71.609856061299155}, {46.53086955445437, 69.949863036494207}}, |
| |
| {{0, 0}, {1, 0}, {0, 3}}, |
| {{1, 0}, {0, 1}, {1, 1}}, |
| {{369.961151,137.980698}, {383.970093,121.298294}, {406.213287,121.298294}}, |
| {{353.2948,194.351074}, {353.2948,173.767563}, {364.167572,160.819855}}, |
| {{360.416077,166.795715}, {370.126831,147.872162}, {388.635406,147.872162}}, |
| {{406.236359,121.254936}, {409.445679,121.254936}, {412.975952,121.789818}}, |
| {{406.235992,121.254936}, {425.705902,121.254936}, {439.71994,137.087616}}, |
| |
| {{369.8543701171875, 145.66734313964844}, {382.36788940429688, 121.28203582763672}, {406.21844482421875, 121.28203582763672}}, |
| {{369.96469116210938, 137.96672058105469}, {383.97555541992188, 121.28203582763672}, {406.2218017578125, 121.28203582763672}}, |
| |
| {{369.962311, 137.976044}, {383.971893, 121.29287}, {406.216125, 121.29287}}, |
| |
| {{400.121704, 149.468719}, {391.949493, 161.037186}, {391.949493, 181.202423}}, |
| {{391.946747, 181.839218}, {391.946747, 155.62442}, {406.115479, 138.855438}}, |
| {{360.048828125, 229.2578125}, {360.048828125, 224.4140625}, {362.607421875, 221.3671875}}, |
| {{362.607421875, 221.3671875}, {365.166015625, 218.3203125}, {369.228515625, 218.3203125}}, |
| {{8, 8}, {10, 10}, {8, -10}}, |
| {{8, 8}, {12, 12}, {14, 4}}, |
| {{8, 8}, {9, 9}, {10, 8}} |
| }; |
| |
| const size_t testSetCount = sizeof(testSet) / sizeof(testSet[0]); |
| |
| static void oneOffTest() { |
| for (size_t outer = 0; outer < testSetCount - 1; ++outer) { |
| for (size_t inner = outer + 1; inner < testSetCount; ++inner) { |
| const Quadratic& quad1 = testSet[outer]; |
| const Quadratic& quad2 = testSet[inner]; |
| Intersections intersections2; |
| intersect2(quad1, quad2, intersections2); |
| if (intersections2.fUnsortable) { |
| continue; |
| } |
| for (int pt = 0; pt < intersections2.used(); ++pt) { |
| double tt1 = intersections2.fT[0][pt]; |
| double tx1, ty1; |
| xy_at_t(quad1, tt1, tx1, ty1); |
| int pt2 = intersections2.fFlip ? intersections2.used() - pt - 1 : pt; |
| double tt2 = intersections2.fT[1][pt2]; |
| double tx2, ty2; |
| xy_at_t(quad2, tt2, tx2, ty2); |
| if (!AlmostEqualUlps(tx1, tx2)) { |
| SkDebugf("%s [%d,%d] x!= t1=%g (%g,%g) t2=%g (%g,%g)\n", |
| __FUNCTION__, (int)outer, (int)inner, tt1, tx1, ty1, tt2, tx2, ty2); |
| SkASSERT(0); |
| } |
| if (!AlmostEqualUlps(ty1, ty2)) { |
| SkDebugf("%s [%d,%d] y!= t1=%g (%g,%g) t2=%g (%g,%g)\n", |
| __FUNCTION__, (int)outer, (int)inner, tt1, tx1, ty1, tt2, tx2, ty2); |
| SkASSERT(0); |
| } |
| SkDebugf("%s [%d][%d] t1=%1.9g (%1.9g, %1.9g) t2=%1.9g\n", __FUNCTION__, |
| outer, inner, tt1, tx1, tx2, tt2); |
| } |
| } |
| } |
| } |
| |
| static const Quadratic coincidentTestSet[] = { |
| {{369.850525, 145.675964}, {382.362915, 121.29287}, {406.211273, 121.29287}}, |
| {{369.850525, 145.675964}, {382.362915, 121.29287}, {406.211273, 121.29287}}, |
| {{8, 8}, {10, 10}, {8, -10}}, |
| {{8, -10}, {10, 10}, {8, 8}}, |
| }; |
| |
| const size_t coincidentTestSetCount = sizeof(coincidentTestSet) / sizeof(coincidentTestSet[0]); |
| |
| static void coincidentTest() { |
| for (size_t testIndex = 0; testIndex < coincidentTestSetCount - 1; testIndex += 2) { |
| const Quadratic& quad1 = coincidentTestSet[testIndex]; |
| const Quadratic& quad2 = coincidentTestSet[testIndex + 1]; |
| Intersections intersections2; |
| intersect2(quad1, quad2, intersections2); |
| SkASSERT(intersections2.coincidentUsed() == 2); |
| for (int pt = 0; pt < intersections2.coincidentUsed(); ++pt) { |
| double tt1 = intersections2.fT[0][pt]; |
| double tt2 = intersections2.fT[1][pt]; |
| SkASSERT(approximately_equal(1, tt1) || approximately_zero(tt1)); |
| SkASSERT(approximately_equal(1, tt2) || approximately_zero(tt2)); |
| } |
| } |
| } |
| |
| void QuadraticIntersection_Test() { |
| oneOffTest(); |
| coincidentTest(); |
| standardTestCases(); |
| } |