PathOpsQuadIntersectionTest.cpp revision 0dc4dd6dda9a7912f696b46d9c02155ec1d1ba5f
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 14static 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 55static const SkDQuad testSet[] = { 56{{{-37.3484879,10.0192947}, {-36.4966316,13.2140198}, {-38.1506348,16.0788383}}}, 57{{{-38.1462746,16.08918}, {-36.4904327,13.2193804}, {-37.3484879,10.0192947}}}, 58 59{{{-37.3513985,10.0082998}, {-36.4938011,13.2090998}, {-38.1506004,16.0788002}}}, 60{{{-37.3508987,10.0102997}, {-36.4930992,13.2110004}, {-38.1497993,16.0809002}}}, 61 62{{{-37.3508987,10.0102997}, {-37.3510017,10.0098}, {-37.3512001,10.0093002}}}, 63{{{-49.0778008,19.0097008}, {-38.2086983,6.80954981}, {-37.3508987,10.0102997}}}, 64 65{{{SkBits2Float(0xc22423b2), SkBits2Float(0x40afae2c)}, 66 {SkBits2Float(0xc2189b24), SkBits2Float(0x40e3f058)}, 67 {SkBits2Float(0xc21511d9), SkBits2Float(0x41251125)}}}, 68{{{SkBits2Float(0xc2153d2f), SkBits2Float(0x412299db)}, 69 {SkBits2Float(0xc2153265), SkBits2Float(0x41233845)}, 70 {SkBits2Float(0xc21527fc), SkBits2Float(0x4123d684)}}}, 71 72{{{-37.3097496, 10.1625624}, {-37.2992134, 10.2012377}, {-37.2890472, 10.239872}}}, 73{{{-41.0348587, 5.49001122}, {-38.1515045, 7.12308884}, {-37.2674294, 10.3166857}}}, 74 75{{{-52.8062439,14.1493912}, {-53.6638947,10.948595}, {-52.0070419,8.07883835}}}, 76{{{-52.8054848,14.1522331}, {-53.6633072,10.9514809}, {-52.0066071,8.08163643}}}, 77 78{{{441.853149, 308.209106}, {434.672272, 315.389984}, {424.516998, 315.389984}}}, 79{{{385.207275, 334.241272}, {406.481598, 312.96698}, {436.567993, 312.96698}}}, 80 81{{{-708.00779269310044, -154.36998607290101}, {-707.90560262312511, -154.36998607290101}, {-707.8333433370193, -154.44224536635932}}}, 82{{{-708.00779269310044, -154.61669472244046}, {-701.04513225634582, -128.85970734043804}, {505.58447265625, -504.9130859375}}}, 83 84{{{164, -40}, {231.51681518554687, -40}, {279.25839233398438, 7.7416000366210938}}}, 85{{{279.25839233398438, 7.7416000366210938}, {275.2164306640625, 3.6996400356292725}, {271.03286743164062, -5.3290705182007514e-015}}}, 86 87{{{2.9999997378517067, 1.9737872594345709}, {2.9999997432230918, 1.9739647181863822}, {1.2414155459263587e-163, 5.2957833941332142e-315}}}, 88{{{2.9999047485265304, 1.9739164225694723}, {3.0000947268526112, 1.9738379076623633}, {0.61149411077591886, 0.0028382324376270418}}}, 89 90 {{{2.9999996843656502, 1.9721416019045801}, {2.9999997725237835, 1.9749798343422071}, 91 {5.3039068214821359e-315, 8.9546185262775165e-307}}}, 92 {{{2.9984791443874976, 1.974505741312242}, {2.9999992702127476, 1.9738772171479178}, 93 {3.0015187977319759, 1.9732495027303418}}}, 94 95 {{{0.647069409,2.97691634}, {0.946860918,3.17625612}, {1.46875407,2.65105457}}}, 96 {{{0,1}, {0.723699095,2.82756208}, {1.08907197,2.97497449}}}, 97 98 {{{131.37418,11414.9825}, {130.28798,11415.9328}, {130.042755,11417.4131}}}, 99 {{{130.585787,11418.4142}, {130.021447,11417.8498}, {130,11417}}}, 100 101 {{{130.73167037963867, 11418.546386718750}, {131.26360225677490, 11418.985778808592}, 102 {132, 11419 }}}, 103 {{{132, 11419}, {131.15012693405151, 11418.978546142578}, 104 {130.58578681945801, 11418.414184570313}}}, 105 106 {{{132, 11419}, 107 {130.73167037963867, 11418.546386718750}, {131.26360225677490, 11418.985778808592}}}, 108 {{{131.15012693405151, 11418.978546142578}, 109 {130.58578681945801, 11418.414184570313}, {132, 11419}}}, 110 111 {{{3.0774019473063863, 3.35198509346713}, {3.0757503498668397, 3.327320623945933}, 112 {3.0744102085015879, 3.3025879417907196}}}, 113 {{{3.053913680774329, 3.3310471586283938}, {3.0758730889691694, 3.3273466070370152}, 114 {3.0975671980059394, 3.3235031316554351}}}, 115 116 {{{3.39068129, 4.44939202}, {3.03659239, 3.81843234}, {3.06844529, 3.02100922}}}, 117 {{{2.10714698, 3.44196686}, {3.12180288, 3.38575704}, {3.75968569, 3.1281838}}}, 118 119 {{{2.74792918, 4.77711896}, {2.82236867, 4.23882547}, {2.82848144, 3.63729341}}}, 120 {{{2.62772567, 3.64823958}, {3.46652495, 3.64258364}, {4.1425079, 3.48623815}}}, 121 122 {{{1.34375, 2.03125}, {2.2734375, 2.6640625}, {3.25, 3.25}}}, 123 {{{3.96875, 4.65625}, {3.3359375, 3.7265625}, {2.75, 2.75}}}, 124 125 {{{0, 1}, {0.324417544, 2.27953848}, {0.664376547, 2.58940267}}}, 126 {{{1, 2}, {0.62109375, 2.70703125}, {0.640625, 2.546875}}}, 127 128 {{{1, 2}, {0.984375, 2.3359375}, {1.0625, 2.15625}}}, 129 {{{0, 1}, {0.983539095, 2.30041152}, {1.47325103, 2.61316872}}}, 130 131 {{{4.09011926, 2.20971038}, {4.74608133, 1.9335932}, {5.02469918, 2.00694987}}}, 132 {{{2.79472921, 1.73568666}, {3.36246373, 1.21251209}, {5, 2}}}, 133 134 {{{1.80814127, 2.41537795}, {2.23475077, 2.05922313}, {3.16529668, 1.98358763}}}, 135 {{{2.16505631, 2.55782454}, {2.40541285, 2.02193091}, {2.99836023, 1.68247638}}}, 136 137 {{{3, 1.875}, {3.375, 1.54296875}, {3.375, 1.421875}}}, 138 {{{3.375, 1.421875}, {3.3749999999999996, 1.3007812499999998}, {3, 2}}}, 139 140 {{{3.34, 8.98}, {2.83363281, 9.4265625}, {2.83796875, 9.363125}}}, 141 {{{2.83796875, 9.363125}, {2.84230469, 9.2996875}, {3.17875, 9.1725}}}, 142 143 {{{2.7279999999999998, 3.024}, {2.5600000000000005, 2.5600000000000005}, 144 {2.1520000000000001, 1.8560000000000001}}}, 145 {{{0.66666666666666652, 1.1481481481481481}, {1.3333333333333326, 1.3333333333333335}, 146 {2.6666666666666665, 2.1851851851851851}}}, 147 148 {{{2.728, 3.024}, {2.56, 2.56}, {2.152, 1.856}}}, 149 {{{0.666666667, 1.14814815}, {1.33333333, 1.33333333}, {2.66666667, 2.18518519}}}, 150 151 {{{0.875, 1.5}, {1.03125, 1.11022302e-16}, {1, 0}}}, 152 {{{0.875, 0.859375}, {1.6875, 0.73046875}, {2.5, 0.625}}}, 153 154 {{{1.64451042, 0.0942001592}, {1.53635465, 0.00152863961}, {1, 0}}}, 155 {{{1.27672209, 0.15}, {1.32143477, 9.25185854e-17}, {1, 0}}}, 156 157 {{{0, 0}, {0.51851851851851849, 1.0185185185185186}, {1.2592592592592591, 1.9259259259259258}}}, 158 {{{1.2592592592592593, 1.9259259259259265}, {0.51851851851851893, 1.0185185185185195}, {0, 0}}}, 159 160 {{{1.93281168, 2.58856757}, {2.38543691, 2.7096125}, {2.51967352, 2.34531784}}}, 161 {{{2.51967352, 2.34531784}, {2.65263731, 2.00639194}, {3.1212119, 1.98608967}}}, 162 {{{2.09544533, 2.51981963}, {2.33331524, 2.25252128}, {2.92003302, 2.39442311}}}, 163 164 {{{0.924337655, 1.94072717}, {1.25185043, 1.52836494}, {1.71793901, 1.06149951}}}, 165 {{{0.940798831, 1.67439357}, {1.25988251, 1.39778567}, {1.71791672, 1.06650313}}}, 166 167 {{{0.924337655, 1.94072717}, {1.39158994, 1.32418496}, {2.14967426, 0.687365435}}}, 168 {{{0.940798831, 1.67439357}, {1.48941875, 1.16280321}, {2.47884711, 0.60465921}}}, 169 170 {{{1.7465749139282332, 1.9930452039527999}, {1.8320006564080331, 1.859481345189089}, 171 {1.8731035127758437, 1.6344055934266613}}}, 172 {{{1.8731035127758437, 1.6344055934266613}, {1.89928170345231, 1.5006405518943067}, 173 {1.9223833226085514, 1.3495796165215643}}}, 174 {{{1.74657491, 1.9930452}, {1.87407679, 1.76762853}, {1.92238332, 1.34957962}}}, 175 {{{0.60797907, 1.68776977}, {1.0447864, 1.50810914}, {1.87464474, 1.63655092}}}, 176 {{{1.87464474, 1.63655092}, {2.70450308, 1.76499271}, {4, 3}}}, 177 178 {{{1.2071879545809394, 0.82163474041730045}, {1.1534203513372994, 0.52790870069930229}, 179 {1.0880000000000001, 0.29599999999999982}}}, //t=0.63155333662549329,0.80000000000000004 180 {{{0.33333333333333326, 0.81481481481481488}, {0.63395173631977997, 0.68744136726313931}, 181 {1.205684411948591, 0.81344322326274499}}}, 182 {{{0.33333333333333326, 0.81481481481481488}, {0.63396444791444551, 0.68743368362444768}, 183 {1.205732763658403, 0.81345617746834109}}}, //t=0.33333333333333331, 0.63396444791444551 184 {{{1.205684411948591, 0.81344322326274499}, {1.2057085875611198, 0.81344969999329253}, 185 {1.205732763658403, 0.81345617746834109}}}, 186 187 {{{1.20718795, 0.82163474}, {1.15342035, 0.527908701}, {1.088, 0.296}}}, 188 {{{1.20568441, 0.813443223}, {1.20570859, 0.8134497}, {1.20573276, 0.813456177}}}, 189 190 {{{41.5072916, 87.1234036}, {28.2747836, 80.9545395}, {23.5780771, 69.3344126}}}, 191 {{{72.9633878, 95.6593007}, {42.7738746, 88.4730382}, {31.1932785, 80.2458029}}}, 192 193 {{{31.1663962, 54.7302484}, {31.1662882, 54.7301074}, {31.1663969, 54.7302485}}}, 194 {{{26.0404936, 45.4260361}, {27.7887523, 33.1863051}, {40.8833242, 26.0301855}}}, 195 196 {{{29.9404074, 49.1672596}, {44.3131071, 45.3915253}, {58.1067559, 59.5061814}}}, 197 {{{72.6510251, 64.2972928}, {53.6989659, 60.1862397}, {35.2053722, 44.8391126}}}, 198 199 {{{52.14807018377202, 65.012420045148644}, {44.778669050208237, 66.315562705604378}, 200 {51.619118408823567, 63.787827046262684}}}, 201 {{{30.004993234763383, 93.921296668202288}, {53.384822003076991, 60.732180341802753}, 202 {58.652998934338584, 43.111073088306185}}}, 203 204 {{{80.897794748143198, 49.236332042718459}, {81.082078218891212, 64.066749904488631}, 205 {69.972305057149981, 72.968595519850993}}}, 206 {{{72.503745601281395, 32.952320736577882}, {88.030880716061645, 38.137194847810164}, 207 {73.193774825517906, 67.773492479591397}}}, 208 209 {{{67.426548091427676, 37.993772624988935}, {51.129513170665035, 57.542281234563646}, 210 {44.594748190899189, 65.644267382683879}}}, 211 {{{61.336508189019057, 82.693132843213675}, {54.825078921449354, 71.663932799212432}, 212 {47.727444217558926, 61.4049645128392}}}, 213 214 {{{67.4265481, 37.9937726}, {51.1295132, 57.5422812}, {44.5947482, 65.6442674}}}, 215 {{{61.3365082, 82.6931328}, {54.8250789, 71.6639328}, {47.7274442, 61.4049645}}}, 216 217 {{{53.774852327053594, 53.318060789841951}, {45.787877803416805, 51.393492026284981}, 218 {46.703936967162392, 53.06860709822206}}}, 219 {{{46.703936967162392, 53.06860709822206}, {47.619996130907957, 54.74372217015916}, 220 {53.020051653535361, 48.633140968832024}}}, 221 222 {{{50.934805397717923, 51.52391952648901}, {56.803308902971423, 44.246234610627596}, 223 {69.776888596721406, 40.166645096692555}}}, 224 {{{50.230212796400401, 38.386469101526998}, {49.855620812184917, 38.818990392153609}, 225 {56.356567496227363, 47.229909093319407}}}, 226 227 {{{36.148792695174222, 70.336952793070424}, {36.141613037691357, 70.711654739870085}, 228 {36.154708826402597, 71.088492662905836}}}, 229 {{{35.216235592661825, 70.580199617313212}, {36.244476835123969, 71.010897787304074}, 230 {37.230244263238326, 71.423156953613102}}}, 231 232 // this pair is nearly coincident, and causes the quartic code to produce bad 233 // data. Mathematica doesn't think they touch. Graphically, I can't tell. 234 // it may not be so bad to pretend that they don't touch, if I can detect that 235 {{{369.848602, 145.680267}, {382.360413, 121.298294}, {406.207703, 121.298294}}}, 236 {{{369.850525, 145.675964}, {382.362915, 121.29287}, {406.211273, 121.29287}}}, 237 238 {{{33.567436351153468, 62.336347586395924}, {35.200980274619084, 65.038561460144479}, 239 {36.479571811084995, 67.632178905412445}}}, 240 {{{41.349524945572696, 67.886658677862641}, {39.125562529359087, 67.429772735149214}, 241 {35.600314083992416, 66.705372160552685}}}, 242 243 {{{67.25299631583178, 21.109080184767524}, {43.617595267398613, 33.658034168577529}, 244 {33.38371819435676, 44.214192553988745}}}, 245 {{{40.476838859398541, 39.543209911285999}, {36.701186108431131, 34.8817994016458}, 246 {30.102144288878023, 26.739063172945315}}}, 247 248 {{{25.367434474345036, 50.4712103169743}, {17.865013304933097, 37.356741010559439}, 249 {16.818988838905465, 37.682915484123129}}}, 250 {{{16.818988838905465, 37.682915484123129}, {15.772964372877833, 38.009089957686811}, 251 {20.624104547604965, 41.825131596683121}}}, 252 253 {{{26.440225044088567, 79.695009812848298}, {26.085525979582247, 83.717928354134784}, 254 {27.075079976297072, 84.820633667838905}}}, 255 {{{27.075079976297072, 84.820633667838905}, {28.276546859574015, 85.988574184029034}, 256 {25.649263209500006, 87.166762066617025}}}, 257 258 {{{34.879150914024962, 83.862726601601125}, {35.095810134304429, 83.693473210169543}, 259 {35.359284111931586, 83.488069234177502}}}, 260 {{{54.503204203015471, 76.094098492518242}, {51.366889541918894, 71.609856061299155}, 261 {46.53086955445437, 69.949863036494207}}}, 262 263 {{{0, 0}, {1, 0}, {0, 3}}}, 264 {{{1, 0}, {0, 1}, {1, 1}}}, 265 {{{369.961151, 137.980698}, {383.970093, 121.298294}, {406.213287, 121.298294}}}, 266 {{{353.2948, 194.351074}, {353.2948, 173.767563}, {364.167572, 160.819855}}}, 267 {{{360.416077, 166.795715}, {370.126831, 147.872162}, {388.635406, 147.872162}}}, 268 {{{406.236359, 121.254936}, {409.445679, 121.254936}, {412.975952, 121.789818}}}, 269 {{{406.235992, 121.254936}, {425.705902, 121.254936}, {439.71994, 137.087616}}}, 270 271 {{{369.8543701171875, 145.66734313964844}, {382.36788940429688, 121.28203582763672}, 272 {406.21844482421875, 121.28203582763672}}}, 273 {{{369.96469116210938, 137.96672058105469}, {383.97555541992188, 121.28203582763672}, 274 {406.2218017578125, 121.28203582763672}}}, 275 276 {{{369.962311, 137.976044}, {383.971893, 121.29287}, {406.216125, 121.29287}}}, 277 278 {{{400.121704, 149.468719}, {391.949493, 161.037186}, {391.949493, 181.202423}}}, 279 {{{391.946747, 181.839218}, {391.946747, 155.62442}, {406.115479, 138.855438}}}, 280 {{{360.048828125, 229.2578125}, {360.048828125, 224.4140625}, {362.607421875, 221.3671875}}}, 281 {{{362.607421875, 221.3671875}, {365.166015625, 218.3203125}, {369.228515625, 218.3203125}}}, 282 {{{8, 8}, {10, 10}, {8, -10}}}, 283 {{{8, 8}, {12, 12}, {14, 4}}}, 284 {{{8, 8}, {9, 9}, {10, 8}}} 285}; 286 287const size_t testSetCount = SK_ARRAY_COUNT(testSet); 288 289static void oneOffTest1(skiatest::Reporter* reporter, size_t outer, size_t inner) { 290 const SkDQuad& quad1 = testSet[outer]; 291 SkASSERT(ValidQuad(quad1)); 292 const SkDQuad& quad2 = testSet[inner]; 293 SkASSERT(ValidQuad(quad2)); 294 SkIntersections intersections2; 295 intersections2.intersect(quad1, quad2); 296 for (int pt = 0; pt < intersections2.used(); ++pt) { 297 double tt1 = intersections2[0][pt]; 298 SkDPoint xy1 = quad1.ptAtT(tt1); 299 double tt2 = intersections2[1][pt]; 300 SkDPoint xy2 = quad2.ptAtT(tt2); 301 if (!xy1.approximatelyEqual(xy2)) { 302 SkDebugf("%s [%d,%d] x!= t1=%g (%g,%g) t2=%g (%g,%g)\n", 303 __FUNCTION__, static_cast<int>(outer), static_cast<int>(inner), 304 tt1, xy1.fX, xy1.fY, tt2, xy2.fX, xy2.fY); 305 REPORTER_ASSERT(reporter, 0); 306 } 307#if ONE_OFF_DEBUG 308 SkDebugf("%s [%d][%d] t1=%1.9g (%1.9g, %1.9g) t2=%1.9g\n", __FUNCTION__, 309 outer, inner, tt1, xy1.fX, xy1.fY, tt2); 310#endif 311 } 312} 313 314static void oneOffTests(skiatest::Reporter* reporter) { 315 for (size_t outer = 0; outer < testSetCount - 1; ++outer) { 316 for (size_t inner = outer + 1; inner < testSetCount; ++inner) { 317 oneOffTest1(reporter, outer, inner); 318 } 319 } 320} 321 322static const SkDQuad coincidentTestSet[] = { 323#if 0 324 {{{97.9337615966796875,100}, {88,112.94264984130859375}, {88,130}}}, 325 {{{88,130}, {88,124.80951690673828125}, {88.91983795166015625,120}}}, 326#endif 327 {{{369.850525, 145.675964}, {382.362915, 121.29287}, {406.211273, 121.29287}}}, 328 {{{369.850525, 145.675964}, {382.362915, 121.29287}, {406.211273, 121.29287}}}, 329 {{{8, 8}, {10, 10}, {8, -10}}}, 330 {{{8, -10}, {10, 10}, {8, 8}}}, 331}; 332 333static const int coincidentTestSetCount = (int) SK_ARRAY_COUNT(coincidentTestSet); 334 335static void coincidentTestOne(skiatest::Reporter* reporter, int test1, int test2) { 336 const SkDQuad& quad1 = coincidentTestSet[test1]; 337 SkASSERT(ValidQuad(quad1)); 338 const SkDQuad& quad2 = coincidentTestSet[test2]; 339 SkASSERT(ValidQuad(quad2)); 340 SkIntersections intersections2; 341 intersections2.intersect(quad1, quad2); 342 REPORTER_ASSERT(reporter, intersections2.coincidentUsed() == 2); 343 REPORTER_ASSERT(reporter, intersections2.used() == 2); 344 for (int pt = 0; pt < intersections2.coincidentUsed(); ++pt) { 345 double tt1 = intersections2[0][pt]; 346 double tt2 = intersections2[1][pt]; 347 SkDPoint pt1 = quad1.ptAtT(tt1); 348 SkDPoint pt2 = quad2.ptAtT(tt2); 349 REPORTER_ASSERT(reporter, pt1.approximatelyEqual(pt2)); 350 } 351} 352 353static void coincidentTest(skiatest::Reporter* reporter) { 354 for (int testIndex = 0; testIndex < coincidentTestSetCount - 1; testIndex += 2) { 355 coincidentTestOne(reporter, testIndex, testIndex + 1); 356 } 357} 358 359static int floatSign(double x) { 360 return x < 0 ? -1 : x > 0 ? 1 : 0; 361} 362 363static const SkDQuad pointFinderTestSet[] = { 364 //>=0.633974464 0.633974846 <= 365{{{1.2071879545809394, 0.82163474041730045}, {1.1534203513372994, 0.52790870069930229}, 366 {1.0880000000000001, 0.29599999999999982}}}, //t=0.63155333662549329, 0.80000000000000004 367{{{1.2071879545809394, 0.82163474041730045}, {1.2065040319428038, 0.81766753259119995}, 368 {1.2058123269101506, 0.81370135061854221}}}, //t=0.63155333662549329, 0.6339049773632347 369{{{1.2058123269101506, 0.81370135061854221}, {1.152376363978022, 0.5244097415381026}, 370 {1.0880000000000001, 0.29599999999999982}}}, //t=0.6339049773632347, 0.80000000000000004 371 //>=0.633974083 0.633975227 <= 372{{{0.33333333333333326, 0.81481481481481488}, {0.63395173631977997, 0.68744136726313931}, 373 {1.205684411948591, 0.81344322326274499}}}, //t=0.33333333333333331, 0.63395173631977986 374{{{0.33333333333333326, 0.81481481481481488}, {0.63396444791444551, 0.68743368362444768}, 375 {1.205732763658403, 0.81345617746834109}}}, //t=0.33333333333333331, 0.63396444791444551 376{{{1.205684411948591, 0.81344322326274499}, {1.2057085875611198, 0.81344969999329253}, 377 {1.205732763658403, 0.81345617746834109}}}, //t=0.63395173631977986, 0.63396444791444551 378{{{1.205732763658403, 0.81345617746834109}, {1.267928895828891, 0.83008534558465619}, 379 {1.3333333333333333, 0.85185185185185175}}}, //t=0.63396444791444551, 0.66666666666666663 380}; 381 382static void pointFinder(const SkDQuad& q1, const SkDQuad& q2) { 383 for (int index = 0; index < 3; ++index) { 384 double t = q1.nearestT(q2[index]); 385 SkDPoint onQuad = q1.ptAtT(t); 386 SkDebugf("%s t=%1.9g (%1.9g,%1.9g) dist=%1.9g\n", __FUNCTION__, t, onQuad.fX, onQuad.fY, 387 onQuad.distance(q2[index])); 388 double left[3]; 389 left[0] = ((const SkDLine&) q1[0]).isLeft(q2[index]); 390 left[1] = ((const SkDLine&) q1[1]).isLeft(q2[index]); 391 SkDLine diag = {{q1[0], q1[2]}}; 392 left[2] = diag.isLeft(q2[index]); 393 SkDebugf("%s left=(%d, %d, %d) inHull=%s\n", __FUNCTION__, floatSign(left[0]), 394 floatSign(left[1]), floatSign(left[2]), 395 q1.pointInHull(q2[index]) ? "true" : "false"); 396 } 397 SkDebugf("\n"); 398} 399 400static void hullIntersect(const SkDQuad& q1, const SkDQuad& q2) { 401 SkDebugf("%s", __FUNCTION__); 402 SkIntersections ts; 403 for (int i1 = 0; i1 < 3; ++i1) { 404 SkDLine l1 = {{q1[i1], q1[(i1 + 1) % 3]}}; 405 for (int i2 = 0; i2 < 3; ++i2) { 406 SkDLine l2 = {{q2[i2], q2[(i2 + 1) % 3]}}; 407 if (ts.intersect(l1, l2)) { 408 SkDebugf(" [%d,%d]", i1, i2); 409 } 410 } 411 } 412 SkDebugf("\n"); 413} 414 415static void QuadraticIntersection_PointFinder() { 416 pointFinder(pointFinderTestSet[0], pointFinderTestSet[4]); 417 pointFinder(pointFinderTestSet[4], pointFinderTestSet[0]); 418 pointFinder(pointFinderTestSet[0], pointFinderTestSet[6]); 419 pointFinder(pointFinderTestSet[6], pointFinderTestSet[0]); 420 hullIntersect(pointFinderTestSet[0], pointFinderTestSet[4]); 421 hullIntersect(pointFinderTestSet[0], pointFinderTestSet[6]); 422} 423 424static void intersectionFinder(int test1, int test2) { 425 const SkDQuad& quad1 = testSet[test1]; 426 const SkDQuad& quad2 = testSet[test2]; 427 428 double t1Seed = 0.5; 429 double t2Seed = 0.8; 430 double t1Step = 0.1; 431 double t2Step = 0.1; 432 SkDPoint t1[3], t2[3]; 433 bool toggle = true; 434 do { 435 t1[0] = quad1.ptAtT(t1Seed - t1Step); 436 t1[1] = quad1.ptAtT(t1Seed); 437 t1[2] = quad1.ptAtT(t1Seed + t1Step); 438 t2[0] = quad2.ptAtT(t2Seed - t2Step); 439 t2[1] = quad2.ptAtT(t2Seed); 440 t2[2] = quad2.ptAtT(t2Seed + t2Step); 441 double dist[3][3]; 442 dist[1][1] = t1[1].distance(t2[1]); 443 int best_i = 1, best_j = 1; 444 for (int i = 0; i < 3; ++i) { 445 for (int j = 0; j < 3; ++j) { 446 if (i == 1 && j == 1) { 447 continue; 448 } 449 dist[i][j] = t1[i].distance(t2[j]); 450 if (dist[best_i][best_j] > dist[i][j]) { 451 best_i = i; 452 best_j = j; 453 } 454 } 455 } 456 if (best_i == 0) { 457 t1Seed -= t1Step; 458 } else if (best_i == 2) { 459 t1Seed += t1Step; 460 } 461 if (best_j == 0) { 462 t2Seed -= t2Step; 463 } else if (best_j == 2) { 464 t2Seed += t2Step; 465 } 466 if (best_i == 1 && best_j == 1) { 467 if ((toggle ^= true)) { 468 t1Step /= 2; 469 } else { 470 t2Step /= 2; 471 } 472 } 473 } while (!t1[1].approximatelyEqual(t2[1])); 474 t1Step = t2Step = 0.1; 475 double t10 = t1Seed - t1Step * 2; 476 double t12 = t1Seed + t1Step * 2; 477 double t20 = t2Seed - t2Step * 2; 478 double t22 = t2Seed + t2Step * 2; 479 SkDPoint test; 480 while (!approximately_zero(t1Step)) { 481 test = quad1.ptAtT(t10); 482 t10 += t1[1].approximatelyEqual(test) ? -t1Step : t1Step; 483 t1Step /= 2; 484 } 485 t1Step = 0.1; 486 while (!approximately_zero(t1Step)) { 487 test = quad1.ptAtT(t12); 488 t12 -= t1[1].approximatelyEqual(test) ? -t1Step : t1Step; 489 t1Step /= 2; 490 } 491 while (!approximately_zero(t2Step)) { 492 test = quad2.ptAtT(t20); 493 t20 += t2[1].approximatelyEqual(test) ? -t2Step : t2Step; 494 t2Step /= 2; 495 } 496 t2Step = 0.1; 497 while (!approximately_zero(t2Step)) { 498 test = quad2.ptAtT(t22); 499 t22 -= t2[1].approximatelyEqual(test) ? -t2Step : t2Step; 500 t2Step /= 2; 501 } 502#if ONE_OFF_DEBUG 503 SkDebugf("%s t1=(%1.9g<%1.9g<%1.9g) t2=(%1.9g<%1.9g<%1.9g)\n", __FUNCTION__, 504 t10, t1Seed, t12, t20, t2Seed, t22); 505 SkDPoint p10 = quad1.ptAtT(t10); 506 SkDPoint p1Seed = quad1.ptAtT(t1Seed); 507 SkDPoint p12 = quad1.ptAtT(t12); 508 SkDebugf("%s p1=(%1.9g,%1.9g)<(%1.9g,%1.9g)<(%1.9g,%1.9g)\n", __FUNCTION__, 509 p10.fX, p10.fY, p1Seed.fX, p1Seed.fY, p12.fX, p12.fY); 510 SkDPoint p20 = quad2.ptAtT(t20); 511 SkDPoint p2Seed = quad2.ptAtT(t2Seed); 512 SkDPoint p22 = quad2.ptAtT(t22); 513 SkDebugf("%s p2=(%1.9g,%1.9g)<(%1.9g,%1.9g)<(%1.9g,%1.9g)\n", __FUNCTION__, 514 p20.fX, p20.fY, p2Seed.fX, p2Seed.fY, p22.fX, p22.fY); 515#endif 516} 517 518static void QuadraticIntersection_IntersectionFinder() { 519 intersectionFinder(0, 1); 520} 521 522DEF_TEST(PathOpsQuadIntersection, reporter) { 523 oneOffTests(reporter); 524 coincidentTest(reporter); 525 standardTestCases(reporter); 526 if (false) QuadraticIntersection_IntersectionFinder(); 527 if (false) QuadraticIntersection_PointFinder(); 528} 529 530DEF_TEST(PathOpsQuadIntersectionCoincidenceOneOff, reporter) { 531 coincidentTestOne(reporter, 0, 1); 532} 533 534DEF_TEST(PathOpsQuadIntersectionOneOff, reporter) { 535 oneOffTest1(reporter, 0, 1); 536} 537