54359294a7
Replace the implicit curve intersection with a geometric curve intersection. The implicit intersection proved mathematically unstable and took a long time to zero in on an answer. Use pointers instead of indices to refer to parts of curves. Indices required awkward renumbering. Unify t and point values so that small intervals can be eliminated in one pass. Break cubics up front to eliminate loops and cusps. Make the Simplify and Op code more regular and eliminate arbitrary differences. Add a builder that takes an array of paths and operators. Delete unused code. BUG=skia:3588 R=reed@google.com Review URL: https://codereview.chromium.org/1037573004
597 lines
28 KiB
C++
597 lines
28 KiB
C++
/*
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* Copyright 2012 Google Inc.
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*
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* Use of this source code is governed by a BSD-style license that can be
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* found in the LICENSE file.
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*/
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#include "PathOpsQuadIntersectionTestData.h"
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#include "PathOpsTestCommon.h"
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#include "SkIntersections.h"
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#include "SkPathOpsRect.h"
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#include "SkReduceOrder.h"
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#include "Test.h"
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static void standardTestCases(skiatest::Reporter* reporter) {
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bool showSkipped = false;
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for (size_t index = 0; index < quadraticTests_count; ++index) {
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const SkDQuad& quad1 = quadraticTests[index][0];
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SkASSERT(ValidQuad(quad1));
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const SkDQuad& quad2 = quadraticTests[index][1];
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SkASSERT(ValidQuad(quad2));
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SkReduceOrder reduce1, reduce2;
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int order1 = reduce1.reduce(quad1);
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int order2 = reduce2.reduce(quad2);
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if (order1 < 3) {
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if (showSkipped) {
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SkDebugf("[%d] quad1 order=%d\n", static_cast<int>(index), order1);
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}
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}
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if (order2 < 3) {
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if (showSkipped) {
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SkDebugf("[%d] quad2 order=%d\n", static_cast<int>(index), order2);
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}
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}
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if (order1 == 3 && order2 == 3) {
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SkIntersections intersections;
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intersections.intersect(quad1, quad2);
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if (intersections.used() > 0) {
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for (int pt = 0; pt < intersections.used(); ++pt) {
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double tt1 = intersections[0][pt];
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SkDPoint xy1 = quad1.ptAtT(tt1);
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double tt2 = intersections[1][pt];
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SkDPoint xy2 = quad2.ptAtT(tt2);
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if (!xy1.approximatelyEqual(xy2)) {
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SkDebugf("%s [%d,%d] x!= t1=%g (%g,%g) t2=%g (%g,%g)\n",
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__FUNCTION__, static_cast<int>(index), pt, tt1, xy1.fX, xy1.fY,
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tt2, xy2.fX, xy2.fY);
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REPORTER_ASSERT(reporter, 0);
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}
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}
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}
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}
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}
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}
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static const SkDQuad testSet[] = {
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{{{4981.9990234375, 1590}, {4981.9990234375, 1617.7523193359375}, {4962.375, 1637.3760986328125}}},
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{{{4962.3759765625, 1637.3760986328125}, {4982, 1617.7523193359375}, {4982, 1590}}},
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{{{48.7416f, 7.74160004f}, {96.4831848f, -40}, {164, -40}}},
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{{{56.9671326f, 0}, {52.7835083f, 3.69968891f}, {48.7416f, 7.74160004f}}},
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{{{138, 80}, {147.15692138671875, 80}, {155.12803649902344, 82.86279296875}}},
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{{{155.12803649902344, 82.86279296875}, {153.14971923828125, 82.152290344238281}, {151.09841918945312, 81.618133544921875}}},
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{{{88, 130}, {88, 131.54483032226562}, {88.081489562988281, 133.0560302734375}}},
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{{{88.081489562988281, 133.0560302734375}, {88, 131.54483032226562}, {88, 130}}},
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{{{0.59987992,2.14448452}, {0.775417507,1.95606446}, {1.00564098,1.79310346}}},
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{{{1.00564098,1.79310346}, {1.25936198,1.615623}, {1.35901463,1.46834028}}},
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{{{3,0}, {0,1}, {3,2}}},
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{{{2,0}, {1,1}, {2,2}}},
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{{{38.656852722167969, 38.656852722167969}, {38.651023864746094, 38.662681579589844}, {38.644744873046875, 38.668937683105469}}},
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{{{38.656852722167969, 38.656852722167969}, {36.313709259033203, 41}, {33, 41}}},
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{{{4914.9990234375, 1523}, {4942.75146484375, 1523}, {4962.375, 1542.6239013671875}}},
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{{{4962.3759765625, 1542.6239013671875}, {4942.75244140625, 1523}, {4915, 1523}}},
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{{{4867.623046875, 1637.3760986328125}, {4847.9990234375, 1617.7523193359375}, {4847.9990234375, 1590}}},
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{{{4848, 1590}, {4848, 1617.7523193359375}, {4867.6240234375, 1637.3760986328125}}},
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{{{102.64466094970703, 165.3553466796875}, {110.79246520996094, 173.50314331054687}, {120.81797790527344, 177.11778259277344}}},
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{{{113.232177734375, 173.57899475097656}, {116.88026428222656, 175.69805908203125}, {120.81797790527344, 177.11778259277344}}},
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{{{-37.3484879,10.0192947}, {-36.4966316,13.2140198}, {-38.1506348,16.0788383}}},
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{{{-38.1462746,16.08918}, {-36.4904327,13.2193804}, {-37.3484879,10.0192947}}},
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{{{-37.3513985,10.0082998}, {-36.4938011,13.2090998}, {-38.1506004,16.0788002}}},
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{{{-37.3508987,10.0102997}, {-36.4930992,13.2110004}, {-38.1497993,16.0809002}}},
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{{{-37.3508987,10.0102997}, {-37.3510017,10.0098}, {-37.3512001,10.0093002}}},
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{{{-49.0778008,19.0097008}, {-38.2086983,6.80954981}, {-37.3508987,10.0102997}}},
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{{{SkBits2Float(0xc22423b2), SkBits2Float(0x40afae2c)},
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{SkBits2Float(0xc2189b24), SkBits2Float(0x40e3f058)},
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{SkBits2Float(0xc21511d9), SkBits2Float(0x41251125)}}},
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{{{SkBits2Float(0xc2153d2f), SkBits2Float(0x412299db)},
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{SkBits2Float(0xc2153265), SkBits2Float(0x41233845)},
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{SkBits2Float(0xc21527fc), SkBits2Float(0x4123d684)}}},
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{{{-37.3097496, 10.1625624}, {-37.2992134, 10.2012377}, {-37.2890472, 10.239872}}},
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{{{-41.0348587, 5.49001122}, {-38.1515045, 7.12308884}, {-37.2674294, 10.3166857}}},
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{{{-52.8062439,14.1493912}, {-53.6638947,10.948595}, {-52.0070419,8.07883835}}},
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{{{-52.8054848,14.1522331}, {-53.6633072,10.9514809}, {-52.0066071,8.08163643}}},
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{{{441.853149, 308.209106}, {434.672272, 315.389984}, {424.516998, 315.389984}}},
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{{{385.207275, 334.241272}, {406.481598, 312.96698}, {436.567993, 312.96698}}},
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{{{-708.00779269310044, -154.36998607290101}, {-707.90560262312511, -154.36998607290101}, {-707.8333433370193, -154.44224536635932}}},
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{{{-708.00779269310044, -154.61669472244046}, {-701.04513225634582, -128.85970734043804}, {505.58447265625, -504.9130859375}}},
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{{{164, -40}, {231.51681518554687, -40}, {279.25839233398438, 7.7416000366210938}}},
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{{{279.25839233398438, 7.7416000366210938}, {275.2164306640625, 3.6996400356292725}, {271.03286743164062, -5.3290705182007514e-015}}},
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{{{2.9999997378517067, 1.9737872594345709}, {2.9999997432230918, 1.9739647181863822}, {1.2414155459263587e-163, 5.2957833941332142e-315}}},
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{{{2.9999047485265304, 1.9739164225694723}, {3.0000947268526112, 1.9738379076623633}, {0.61149411077591886, 0.0028382324376270418}}},
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{{{2.9999996843656502, 1.9721416019045801}, {2.9999997725237835, 1.9749798343422071},
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{5.3039068214821359e-315, 8.9546185262775165e-307}}},
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{{{2.9984791443874976, 1.974505741312242}, {2.9999992702127476, 1.9738772171479178},
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{3.0015187977319759, 1.9732495027303418}}},
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{{{0.647069409,2.97691634}, {0.946860918,3.17625612}, {1.46875407,2.65105457}}},
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{{{0,1}, {0.723699095,2.82756208}, {1.08907197,2.97497449}}},
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{{{131.37418,11414.9825}, {130.28798,11415.9328}, {130.042755,11417.4131}}},
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{{{130.585787,11418.4142}, {130.021447,11417.8498}, {130,11417}}},
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{{{130.73167037963867, 11418.546386718750}, {131.26360225677490, 11418.985778808592},
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{132, 11419 }}},
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{{{132, 11419}, {131.15012693405151, 11418.978546142578},
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{130.58578681945801, 11418.414184570313}}},
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{{{132, 11419},
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{130.73167037963867, 11418.546386718750}, {131.26360225677490, 11418.985778808592}}},
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{{{131.15012693405151, 11418.978546142578},
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{130.58578681945801, 11418.414184570313}, {132, 11419}}},
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{{{3.0774019473063863, 3.35198509346713}, {3.0757503498668397, 3.327320623945933},
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{3.0744102085015879, 3.3025879417907196}}},
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{{{3.053913680774329, 3.3310471586283938}, {3.0758730889691694, 3.3273466070370152},
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{3.0975671980059394, 3.3235031316554351}}},
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{{{3.39068129, 4.44939202}, {3.03659239, 3.81843234}, {3.06844529, 3.02100922}}},
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{{{2.10714698, 3.44196686}, {3.12180288, 3.38575704}, {3.75968569, 3.1281838}}},
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{{{2.74792918, 4.77711896}, {2.82236867, 4.23882547}, {2.82848144, 3.63729341}}},
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{{{2.62772567, 3.64823958}, {3.46652495, 3.64258364}, {4.1425079, 3.48623815}}},
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{{{1.34375, 2.03125}, {2.2734375, 2.6640625}, {3.25, 3.25}}},
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{{{3.96875, 4.65625}, {3.3359375, 3.7265625}, {2.75, 2.75}}},
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{{{0, 1}, {0.324417544, 2.27953848}, {0.664376547, 2.58940267}}},
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{{{1, 2}, {0.62109375, 2.70703125}, {0.640625, 2.546875}}},
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{{{1, 2}, {0.984375, 2.3359375}, {1.0625, 2.15625}}},
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{{{0, 1}, {0.983539095, 2.30041152}, {1.47325103, 2.61316872}}},
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{{{4.09011926, 2.20971038}, {4.74608133, 1.9335932}, {5.02469918, 2.00694987}}},
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{{{2.79472921, 1.73568666}, {3.36246373, 1.21251209}, {5, 2}}},
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{{{1.80814127, 2.41537795}, {2.23475077, 2.05922313}, {3.16529668, 1.98358763}}},
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{{{2.16505631, 2.55782454}, {2.40541285, 2.02193091}, {2.99836023, 1.68247638}}},
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{{{3, 1.875}, {3.375, 1.54296875}, {3.375, 1.421875}}},
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{{{3.375, 1.421875}, {3.3749999999999996, 1.3007812499999998}, {3, 2}}},
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{{{3.34, 8.98}, {2.83363281, 9.4265625}, {2.83796875, 9.363125}}},
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{{{2.83796875, 9.363125}, {2.84230469, 9.2996875}, {3.17875, 9.1725}}},
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{{{2.7279999999999998, 3.024}, {2.5600000000000005, 2.5600000000000005},
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{2.1520000000000001, 1.8560000000000001}}},
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{{{0.66666666666666652, 1.1481481481481481}, {1.3333333333333326, 1.3333333333333335},
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{2.6666666666666665, 2.1851851851851851}}},
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{{{2.728, 3.024}, {2.56, 2.56}, {2.152, 1.856}}},
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{{{0.666666667, 1.14814815}, {1.33333333, 1.33333333}, {2.66666667, 2.18518519}}},
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{{{0.875, 1.5}, {1.03125, 1.11022302e-16}, {1, 0}}},
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{{{0.875, 0.859375}, {1.6875, 0.73046875}, {2.5, 0.625}}},
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{{{1.64451042, 0.0942001592}, {1.53635465, 0.00152863961}, {1, 0}}},
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{{{1.27672209, 0.15}, {1.32143477, 9.25185854e-17}, {1, 0}}},
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{{{0, 0}, {0.51851851851851849, 1.0185185185185186}, {1.2592592592592591, 1.9259259259259258}}},
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{{{1.2592592592592593, 1.9259259259259265}, {0.51851851851851893, 1.0185185185185195}, {0, 0}}},
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{{{1.93281168, 2.58856757}, {2.38543691, 2.7096125}, {2.51967352, 2.34531784}}},
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{{{2.51967352, 2.34531784}, {2.65263731, 2.00639194}, {3.1212119, 1.98608967}}},
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{{{2.09544533, 2.51981963}, {2.33331524, 2.25252128}, {2.92003302, 2.39442311}}},
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{{{0.924337655, 1.94072717}, {1.25185043, 1.52836494}, {1.71793901, 1.06149951}}},
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{{{0.940798831, 1.67439357}, {1.25988251, 1.39778567}, {1.71791672, 1.06650313}}},
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{{{0.924337655, 1.94072717}, {1.39158994, 1.32418496}, {2.14967426, 0.687365435}}},
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{{{0.940798831, 1.67439357}, {1.48941875, 1.16280321}, {2.47884711, 0.60465921}}},
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{{{1.7465749139282332, 1.9930452039527999}, {1.8320006564080331, 1.859481345189089},
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{1.8731035127758437, 1.6344055934266613}}},
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{{{1.8731035127758437, 1.6344055934266613}, {1.89928170345231, 1.5006405518943067},
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{1.9223833226085514, 1.3495796165215643}}},
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{{{1.74657491, 1.9930452}, {1.87407679, 1.76762853}, {1.92238332, 1.34957962}}},
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{{{0.60797907, 1.68776977}, {1.0447864, 1.50810914}, {1.87464474, 1.63655092}}},
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{{{1.87464474, 1.63655092}, {2.70450308, 1.76499271}, {4, 3}}},
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{{{1.2071879545809394, 0.82163474041730045}, {1.1534203513372994, 0.52790870069930229},
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{1.0880000000000001, 0.29599999999999982}}}, //t=0.63155333662549329,0.80000000000000004
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{{{0.33333333333333326, 0.81481481481481488}, {0.63395173631977997, 0.68744136726313931},
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{1.205684411948591, 0.81344322326274499}}},
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{{{0.33333333333333326, 0.81481481481481488}, {0.63396444791444551, 0.68743368362444768},
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{1.205732763658403, 0.81345617746834109}}}, //t=0.33333333333333331, 0.63396444791444551
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{{{1.205684411948591, 0.81344322326274499}, {1.2057085875611198, 0.81344969999329253},
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{1.205732763658403, 0.81345617746834109}}},
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{{{1.20718795, 0.82163474}, {1.15342035, 0.527908701}, {1.088, 0.296}}},
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{{{1.20568441, 0.813443223}, {1.20570859, 0.8134497}, {1.20573276, 0.813456177}}},
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{{{41.5072916, 87.1234036}, {28.2747836, 80.9545395}, {23.5780771, 69.3344126}}},
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{{{72.9633878, 95.6593007}, {42.7738746, 88.4730382}, {31.1932785, 80.2458029}}},
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{{{31.1663962, 54.7302484}, {31.1662882, 54.7301074}, {31.1663969, 54.7302485}}},
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{{{26.0404936, 45.4260361}, {27.7887523, 33.1863051}, {40.8833242, 26.0301855}}},
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{{{29.9404074, 49.1672596}, {44.3131071, 45.3915253}, {58.1067559, 59.5061814}}},
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{{{72.6510251, 64.2972928}, {53.6989659, 60.1862397}, {35.2053722, 44.8391126}}},
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{{{52.14807018377202, 65.012420045148644}, {44.778669050208237, 66.315562705604378},
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{51.619118408823567, 63.787827046262684}}},
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{{{30.004993234763383, 93.921296668202288}, {53.384822003076991, 60.732180341802753},
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{58.652998934338584, 43.111073088306185}}},
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{{{80.897794748143198, 49.236332042718459}, {81.082078218891212, 64.066749904488631},
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{69.972305057149981, 72.968595519850993}}},
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{{{72.503745601281395, 32.952320736577882}, {88.030880716061645, 38.137194847810164},
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{73.193774825517906, 67.773492479591397}}},
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{{{67.426548091427676, 37.993772624988935}, {51.129513170665035, 57.542281234563646},
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{44.594748190899189, 65.644267382683879}}},
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{{{61.336508189019057, 82.693132843213675}, {54.825078921449354, 71.663932799212432},
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{47.727444217558926, 61.4049645128392}}},
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{{{67.4265481, 37.9937726}, {51.1295132, 57.5422812}, {44.5947482, 65.6442674}}},
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{{{61.3365082, 82.6931328}, {54.8250789, 71.6639328}, {47.7274442, 61.4049645}}},
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{{{53.774852327053594, 53.318060789841951}, {45.787877803416805, 51.393492026284981},
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{46.703936967162392, 53.06860709822206}}},
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{{{46.703936967162392, 53.06860709822206}, {47.619996130907957, 54.74372217015916},
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{53.020051653535361, 48.633140968832024}}},
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{{{50.934805397717923, 51.52391952648901}, {56.803308902971423, 44.246234610627596},
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{69.776888596721406, 40.166645096692555}}},
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{{{50.230212796400401, 38.386469101526998}, {49.855620812184917, 38.818990392153609},
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{56.356567496227363, 47.229909093319407}}},
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{{{36.148792695174222, 70.336952793070424}, {36.141613037691357, 70.711654739870085},
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{36.154708826402597, 71.088492662905836}}},
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{{{35.216235592661825, 70.580199617313212}, {36.244476835123969, 71.010897787304074},
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{37.230244263238326, 71.423156953613102}}},
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// this pair is nearly coincident, and causes the quartic code to produce bad
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// data. Mathematica doesn't think they touch. Graphically, I can't tell.
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// it may not be so bad to pretend that they don't touch, if I can detect that
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{{{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 = SK_ARRAY_COUNT(testSet);
|
|
|
|
static void oneOffTest1(skiatest::Reporter* reporter, size_t outer, size_t inner) {
|
|
const SkDQuad& quad1 = testSet[outer];
|
|
SkASSERT(ValidQuad(quad1));
|
|
const SkDQuad& quad2 = testSet[inner];
|
|
SkASSERT(ValidQuad(quad2));
|
|
SkIntersections intersections2;
|
|
intersections2.intersect(quad1, quad2);
|
|
for (int pt = 0; pt < intersections2.used(); ++pt) {
|
|
double tt1 = intersections2[0][pt];
|
|
SkDPoint xy1 = quad1.ptAtT(tt1);
|
|
double tt2 = intersections2[1][pt];
|
|
SkDPoint xy2 = quad2.ptAtT(tt2);
|
|
if (!xy1.approximatelyEqual(xy2)) {
|
|
SkDebugf("%s [%d,%d] x!= t1=%g (%g,%g) t2=%g (%g,%g)\n",
|
|
__FUNCTION__, static_cast<int>(outer), static_cast<int>(inner),
|
|
tt1, xy1.fX, xy1.fY, tt2, xy2.fX, xy2.fY);
|
|
REPORTER_ASSERT(reporter, 0);
|
|
}
|
|
#if ONE_OFF_DEBUG
|
|
SkDebugf("%s [%d][%d] t1=%1.9g (%1.9g, %1.9g) t2=%1.9g\n", __FUNCTION__,
|
|
outer, inner, tt1, xy1.fX, xy1.fY, tt2);
|
|
#endif
|
|
}
|
|
}
|
|
|
|
static void oneOffTests(skiatest::Reporter* reporter) {
|
|
for (size_t outer = 0; outer < testSetCount - 1; ++outer) {
|
|
for (size_t inner = outer + 1; inner < testSetCount; ++inner) {
|
|
oneOffTest1(reporter, outer, inner);
|
|
}
|
|
}
|
|
}
|
|
|
|
static const SkDQuad coincidentTestSet[] = {
|
|
{{{4914.9990234375, 1523}, {4942.75146484375, 1523}, {4962.375, 1542.6239013671875}}},
|
|
{{{4962.3759765625, 1542.6239013671875}, {4942.75244140625, 1523}, {4915, 1523}}},
|
|
#if 0
|
|
{{{97.9337615966796875,100}, {88,112.94264984130859375}, {88,130}}},
|
|
{{{88,130}, {88,124.80951690673828125}, {88.91983795166015625,120}}},
|
|
#endif
|
|
{{{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}}},
|
|
};
|
|
|
|
static const int coincidentTestSetCount = (int) SK_ARRAY_COUNT(coincidentTestSet);
|
|
|
|
static void coincidentTestOne(skiatest::Reporter* reporter, int test1, int test2) {
|
|
const SkDQuad& quad1 = coincidentTestSet[test1];
|
|
SkASSERT(ValidQuad(quad1));
|
|
const SkDQuad& quad2 = coincidentTestSet[test2];
|
|
SkASSERT(ValidQuad(quad2));
|
|
SkIntersections intersections2;
|
|
intersections2.intersect(quad1, quad2);
|
|
REPORTER_ASSERT(reporter, intersections2.coincidentUsed() >= 2);
|
|
REPORTER_ASSERT(reporter, intersections2.used() >= 2);
|
|
for (int pt = 0; pt < intersections2.coincidentUsed(); pt += 2) {
|
|
double tt1 = intersections2[0][pt];
|
|
double tt2 = intersections2[1][pt];
|
|
SkDPoint pt1 = quad1.ptAtT(tt1);
|
|
SkDPoint pt2 = quad2.ptAtT(tt2);
|
|
REPORTER_ASSERT(reporter, pt1.approximatelyEqual(pt2));
|
|
}
|
|
}
|
|
|
|
static void coincidentTest(skiatest::Reporter* reporter) {
|
|
for (int testIndex = 0; testIndex < coincidentTestSetCount - 1; testIndex += 2) {
|
|
coincidentTestOne(reporter, testIndex, testIndex + 1);
|
|
}
|
|
}
|
|
|
|
static int floatSign(double x) {
|
|
return x < 0 ? -1 : x > 0 ? 1 : 0;
|
|
}
|
|
|
|
static const SkDQuad pointFinderTestSet[] = {
|
|
//>=0.633974464 0.633974846 <=
|
|
{{{1.2071879545809394, 0.82163474041730045}, {1.1534203513372994, 0.52790870069930229},
|
|
{1.0880000000000001, 0.29599999999999982}}}, //t=0.63155333662549329, 0.80000000000000004
|
|
{{{1.2071879545809394, 0.82163474041730045}, {1.2065040319428038, 0.81766753259119995},
|
|
{1.2058123269101506, 0.81370135061854221}}}, //t=0.63155333662549329, 0.6339049773632347
|
|
{{{1.2058123269101506, 0.81370135061854221}, {1.152376363978022, 0.5244097415381026},
|
|
{1.0880000000000001, 0.29599999999999982}}}, //t=0.6339049773632347, 0.80000000000000004
|
|
//>=0.633974083 0.633975227 <=
|
|
{{{0.33333333333333326, 0.81481481481481488}, {0.63395173631977997, 0.68744136726313931},
|
|
{1.205684411948591, 0.81344322326274499}}}, //t=0.33333333333333331, 0.63395173631977986
|
|
{{{0.33333333333333326, 0.81481481481481488}, {0.63396444791444551, 0.68743368362444768},
|
|
{1.205732763658403, 0.81345617746834109}}}, //t=0.33333333333333331, 0.63396444791444551
|
|
{{{1.205684411948591, 0.81344322326274499}, {1.2057085875611198, 0.81344969999329253},
|
|
{1.205732763658403, 0.81345617746834109}}}, //t=0.63395173631977986, 0.63396444791444551
|
|
{{{1.205732763658403, 0.81345617746834109}, {1.267928895828891, 0.83008534558465619},
|
|
{1.3333333333333333, 0.85185185185185175}}}, //t=0.63396444791444551, 0.66666666666666663
|
|
};
|
|
|
|
static void pointFinder(const SkDQuad& q1, const SkDQuad& q2) {
|
|
for (int index = 0; index < 3; ++index) {
|
|
double t = q1.nearestT(q2[index]);
|
|
SkDPoint onQuad = q1.ptAtT(t);
|
|
SkDebugf("%s t=%1.9g (%1.9g,%1.9g) dist=%1.9g\n", __FUNCTION__, t, onQuad.fX, onQuad.fY,
|
|
onQuad.distance(q2[index]));
|
|
double left[3];
|
|
left[0] = ((const SkDLine&) q1[0]).isLeft(q2[index]);
|
|
left[1] = ((const SkDLine&) q1[1]).isLeft(q2[index]);
|
|
SkDLine diag = {{q1[0], q1[2]}};
|
|
left[2] = diag.isLeft(q2[index]);
|
|
SkDebugf("%s left=(%d, %d, %d)\n", __FUNCTION__, floatSign(left[0]),
|
|
floatSign(left[1]), floatSign(left[2]));
|
|
}
|
|
SkDebugf("\n");
|
|
}
|
|
|
|
static void hullIntersect(const SkDQuad& q1, const SkDQuad& q2) {
|
|
SkDebugf("%s", __FUNCTION__);
|
|
SkIntersections ts;
|
|
for (int i1 = 0; i1 < 3; ++i1) {
|
|
SkDLine l1 = {{q1[i1], q1[(i1 + 1) % 3]}};
|
|
for (int i2 = 0; i2 < 3; ++i2) {
|
|
SkDLine l2 = {{q2[i2], q2[(i2 + 1) % 3]}};
|
|
if (ts.intersect(l1, l2)) {
|
|
SkDebugf(" [%d,%d]", i1, i2);
|
|
}
|
|
}
|
|
}
|
|
SkDebugf("\n");
|
|
}
|
|
|
|
static void QuadraticIntersection_PointFinder() {
|
|
pointFinder(pointFinderTestSet[0], pointFinderTestSet[4]);
|
|
pointFinder(pointFinderTestSet[4], pointFinderTestSet[0]);
|
|
pointFinder(pointFinderTestSet[0], pointFinderTestSet[6]);
|
|
pointFinder(pointFinderTestSet[6], pointFinderTestSet[0]);
|
|
hullIntersect(pointFinderTestSet[0], pointFinderTestSet[4]);
|
|
hullIntersect(pointFinderTestSet[0], pointFinderTestSet[6]);
|
|
}
|
|
|
|
static void intersectionFinder(int test1, int test2) {
|
|
const SkDQuad& quad1 = testSet[test1];
|
|
const SkDQuad& quad2 = testSet[test2];
|
|
|
|
double t1Seed = 0.5;
|
|
double t2Seed = 0.8;
|
|
double t1Step = 0.1;
|
|
double t2Step = 0.1;
|
|
SkDPoint t1[3], t2[3];
|
|
bool toggle = true;
|
|
do {
|
|
t1[0] = quad1.ptAtT(t1Seed - t1Step);
|
|
t1[1] = quad1.ptAtT(t1Seed);
|
|
t1[2] = quad1.ptAtT(t1Seed + t1Step);
|
|
t2[0] = quad2.ptAtT(t2Seed - t2Step);
|
|
t2[1] = quad2.ptAtT(t2Seed);
|
|
t2[2] = quad2.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 = quad1.ptAtT(t10);
|
|
t10 += t1[1].approximatelyEqual(test) ? -t1Step : t1Step;
|
|
t1Step /= 2;
|
|
}
|
|
t1Step = 0.1;
|
|
while (!approximately_zero(t1Step)) {
|
|
test = quad1.ptAtT(t12);
|
|
t12 -= t1[1].approximatelyEqual(test) ? -t1Step : t1Step;
|
|
t1Step /= 2;
|
|
}
|
|
while (!approximately_zero(t2Step)) {
|
|
test = quad2.ptAtT(t20);
|
|
t20 += t2[1].approximatelyEqual(test) ? -t2Step : t2Step;
|
|
t2Step /= 2;
|
|
}
|
|
t2Step = 0.1;
|
|
while (!approximately_zero(t2Step)) {
|
|
test = quad2.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 = quad1.ptAtT(t10);
|
|
SkDPoint p1Seed = quad1.ptAtT(t1Seed);
|
|
SkDPoint p12 = quad1.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 = quad2.ptAtT(t20);
|
|
SkDPoint p2Seed = quad2.ptAtT(t2Seed);
|
|
SkDPoint p22 = quad2.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 QuadraticIntersection_IntersectionFinder() {
|
|
intersectionFinder(0, 1);
|
|
}
|
|
|
|
DEF_TEST(PathOpsQuadIntersectionOneOff, reporter) {
|
|
oneOffTest1(reporter, 10, 11);
|
|
}
|
|
|
|
DEF_TEST(PathOpsQuadIntersectionCoincidenceOneOff, reporter) {
|
|
coincidentTestOne(reporter, 0, 1);
|
|
}
|
|
|
|
DEF_TEST(PathOpsQuadIntersection, reporter) {
|
|
oneOffTests(reporter);
|
|
coincidentTest(reporter);
|
|
standardTestCases(reporter);
|
|
if (false) QuadraticIntersection_IntersectionFinder();
|
|
if (false) QuadraticIntersection_PointFinder();
|
|
}
|
|
|
|
#include "SkCommonFlags.h"
|
|
|
|
DEF_TEST(PathOpsQuadBinaryProfile, reporter) {
|
|
if (!FLAGS_veryVerbose) {
|
|
return;
|
|
}
|
|
SkIntersections intersections;
|
|
for (int x = 0; x < 100; ++x) {
|
|
int outer = 0;
|
|
int inner = outer + 1;
|
|
do {
|
|
const SkDQuad& quad1 = testSet[outer];
|
|
const SkDQuad& quad2 = testSet[inner];
|
|
(void) intersections.intersect(quad1, quad2);
|
|
REPORTER_ASSERT(reporter, intersections.used() >= 0); // make sure code isn't tossed
|
|
inner += 2;
|
|
outer += 2;
|
|
} while (outer < (int) testSetCount);
|
|
}
|
|
for (int x = 0; x < 100; ++x) {
|
|
for (size_t test = 0; test < quadraticTests_count; ++test) {
|
|
const SkDQuad& quad1 = quadraticTests[test][0];
|
|
const SkDQuad& quad2 = quadraticTests[test][1];
|
|
(void) intersections.intersect(quad1, quad2);
|
|
REPORTER_ASSERT(reporter, intersections.used() >= 0); // make sure code isn't tossed
|
|
}
|
|
}
|
|
}
|