b3f0921fba
Try to fix the 32 bit build by making some math decisions more robust. Rewrite the cubic intersection special case that detects if only end points are shared. Rewrite the angle sort setup that computes whether a cubic bends to the left or right. git-svn-id: http://skia.googlecode.com/svn/trunk@8726 2bbb7eff-a529-9590-31e7-b0007b416f81
517 lines
20 KiB
C++
517 lines
20 KiB
C++
/*
|
|
* Copyright 2012 Google Inc.
|
|
*
|
|
* Use of this source code is governed by a BSD-style license that can be
|
|
* found in the LICENSE file.
|
|
*/
|
|
#include "PathOpsCubicIntersectionTestData.h"
|
|
#include "PathOpsTestCommon.h"
|
|
#include "SkIntersections.h"
|
|
#include "SkPathOpsRect.h"
|
|
#include "SkReduceOrder.h"
|
|
#include "Test.h"
|
|
|
|
const int firstCubicIntersectionTest = 9;
|
|
|
|
static void standardTestCases(skiatest::Reporter* reporter) {
|
|
for (size_t index = firstCubicIntersectionTest; index < tests_count; ++index) {
|
|
int iIndex = static_cast<int>(index);
|
|
const SkDCubic& cubic1 = tests[index][0];
|
|
const SkDCubic& cubic2 = tests[index][1];
|
|
SkReduceOrder reduce1, reduce2;
|
|
int order1 = reduce1.reduce(cubic1, SkReduceOrder::kNo_Quadratics,
|
|
SkReduceOrder::kFill_Style);
|
|
int order2 = reduce2.reduce(cubic2, SkReduceOrder::kNo_Quadratics,
|
|
SkReduceOrder::kFill_Style);
|
|
const bool showSkipped = false;
|
|
if (order1 < 4) {
|
|
if (showSkipped) {
|
|
SkDebugf("%s [%d] cubic1 order=%d\n", __FUNCTION__, iIndex, order1);
|
|
}
|
|
continue;
|
|
}
|
|
if (order2 < 4) {
|
|
if (showSkipped) {
|
|
SkDebugf("%s [%d] cubic2 order=%d\n", __FUNCTION__, iIndex, order2);
|
|
}
|
|
continue;
|
|
}
|
|
SkIntersections tIntersections;
|
|
tIntersections.intersect(cubic1, cubic2);
|
|
if (!tIntersections.used()) {
|
|
if (showSkipped) {
|
|
SkDebugf("%s [%d] no intersection\n", __FUNCTION__, iIndex);
|
|
}
|
|
continue;
|
|
}
|
|
if (tIntersections.isCoincident(0)) {
|
|
if (showSkipped) {
|
|
SkDebugf("%s [%d] coincident\n", __FUNCTION__, iIndex);
|
|
}
|
|
continue;
|
|
}
|
|
for (int pt = 0; pt < tIntersections.used(); ++pt) {
|
|
double tt1 = tIntersections[0][pt];
|
|
SkDPoint xy1 = cubic1.xyAtT(tt1);
|
|
double tt2 = tIntersections[1][pt];
|
|
SkDPoint xy2 = cubic2.xyAtT(tt2);
|
|
if (!xy1.approximatelyEqual(xy2)) {
|
|
SkDebugf("%s [%d,%d] x!= t1=%g (%g,%g) t2=%g (%g,%g)\n",
|
|
__FUNCTION__, (int)index, pt, tt1, xy1.fX, xy1.fY, tt2, xy2.fX, xy2.fY);
|
|
}
|
|
REPORTER_ASSERT(reporter, xy1.approximatelyEqual(xy2));
|
|
}
|
|
}
|
|
}
|
|
|
|
static const SkDCubic testSet[] = {
|
|
// FIXME: uncommenting these two will cause this to fail
|
|
// this results in two curves very nearly but not exactly coincident
|
|
#if 0
|
|
{{{67.426548091427676, 37.993772624988935}, {23.483695892376684, 90.476863174921306},
|
|
{35.597065061143162, 79.872482633158796}, {75.38634169631932, 18.244890038969412}}},
|
|
{{{67.4265481, 37.9937726}, {23.4836959, 90.4768632}, {35.5970651, 79.8724826},
|
|
{75.3863417, 18.24489}}},
|
|
#endif
|
|
|
|
{{{0, 0}, {0, 1}, {1, 1}, {1, 0}}},
|
|
{{{1, 0}, {0, 0}, {0, 1}, {1, 1}}},
|
|
|
|
{{{0, 1}, {4, 5}, {1, 0}, {5, 3}}},
|
|
{{{0, 1}, {3, 5}, {1, 0}, {5, 4}}},
|
|
|
|
{{{0, 1}, {1, 6}, {1, 0}, {1, 0}}},
|
|
{{{0, 1}, {0, 1}, {1, 0}, {6, 1}}},
|
|
|
|
{{{0, 1}, {3, 4}, {1, 0}, {5, 1}}},
|
|
{{{0, 1}, {1, 5}, {1, 0}, {4, 3}}},
|
|
|
|
{{{0, 1}, {1, 2}, {1, 0}, {6, 1}}},
|
|
{{{0, 1}, {1, 6}, {1, 0}, {2, 1}}},
|
|
|
|
{{{0, 1}, {0, 5}, {1, 0}, {4, 0}}},
|
|
{{{0, 1}, {0, 4}, {1, 0}, {5, 0}}},
|
|
|
|
{{{0, 1}, {3, 4}, {1, 0}, {3, 0}}},
|
|
{{{0, 1}, {0, 3}, {1, 0}, {4, 3}}},
|
|
|
|
{{{0, 0}, {1, 2}, {3, 4}, {4, 4}}},
|
|
{{{0, 0}, {1, 2}, {3, 4}, {4, 4}}},
|
|
{{{4, 4}, {3, 4}, {1, 2}, {0, 0}}},
|
|
|
|
{{{0, 1}, {2, 3}, {1, 0}, {1, 0}}},
|
|
{{{0, 1}, {0, 1}, {1, 0}, {3, 2}}},
|
|
|
|
{{{0, 2}, {0, 1}, {1, 0}, {1, 0}}},
|
|
{{{0, 1}, {0, 1}, {2, 0}, {1, 0}}},
|
|
|
|
{{{0, 1}, {0, 2}, {1, 0}, {1, 0}}},
|
|
{{{0, 1}, {0, 1}, {1, 0}, {2, 0}}},
|
|
|
|
{{{0, 1}, {1, 6}, {1, 0}, {2, 0}}},
|
|
{{{0, 1}, {0, 2}, {1, 0}, {6, 1}}},
|
|
|
|
{{{0, 1}, {5, 6}, {1, 0}, {1, 0}}},
|
|
{{{0, 1}, {0, 1}, {1, 0}, {6, 5}}},
|
|
|
|
{{{95.837747722788592, 45.025976907939643}, {16.564570095652982, 0.72959763963222402},
|
|
{63.209855865319199, 68.047528419665767}, {57.640240647662544, 59.524565264361243}}},
|
|
{{{51.593891741518817, 38.53849970667553}, {62.34752929878772, 74.924924725166022},
|
|
{74.810149322641152, 34.17966562983564}, {29.368398119401373, 94.66719277886078}}},
|
|
|
|
{{{39.765160968417838, 33.060396198677083}, {5.1922921581157908, 66.854301452103215},
|
|
{31.619281802149157, 25.269248720849514}, {81.541621071073038, 70.025341524754353}}},
|
|
{{{46.078911165743556, 48.259962651999651}, {20.24450549867214, 49.403916182650214},
|
|
{0.26325131778756683, 24.46489805563581}, {15.915006546264051, 83.515023059917155}}},
|
|
|
|
{{{65.454505973241524, 93.881892270353575}, {45.867360264932437, 92.723972719499827},
|
|
{2.1464054482739447, 74.636369140183717}, {33.774068594804994, 40.770872887582925}}},
|
|
{{{72.963387832494163, 95.659300729473728}, {11.809496633619768, 82.209921247423594},
|
|
{13.456139067865974, 57.329313623406605}, {36.060621606214262, 70.867335643091849}}},
|
|
|
|
{{{32.484981432782945, 75.082940782924624}, {42.467313093350882, 48.131159948246157},
|
|
{3.5963115764764657, 43.208665839959245}, {79.442476890721579, 89.709102357602262}}},
|
|
{{{18.98573861410177, 93.308887208490106}, {40.405250173250792, 91.039661826118675},
|
|
{8.0467721950480584, 42.100282172719147}, {40.883324221187891, 26.030185504830527}}},
|
|
|
|
{{{7.5374809128872498, 82.441702896003477}, {22.444346930107265, 22.138854312775123},
|
|
{66.76091829629658, 50.753805856571446}, {78.193478508942519, 97.7932997968948}}},
|
|
{{{97.700573130371311, 53.53260215070685}, {87.72443481149358, 84.575876772671876},
|
|
{19.215031396232092, 47.032676472809484}, {11.989686410869325, 10.659507480757082}}},
|
|
|
|
{{{26.192053931854691, 9.8504326817814416}, {10.174241480498686, 98.476562741434464},
|
|
{21.177712558385782, 33.814968789841501}, {75.329030899018534, 55.02231980442177}}},
|
|
{{{56.222082700683771, 24.54395039218662}, {95.589995289030483, 81.050822735322086},
|
|
{28.180450866082897, 28.837706255185282}, {60.128952916771617, 87.311672180570511}}},
|
|
|
|
{{{42.449716172390481, 52.379709366885805}, {27.896043159019225, 48.797373636065686},
|
|
{92.770268299044233, 89.899302036454571}, {12.102066544863426, 99.43241951960718}}},
|
|
{{{45.77532924980639, 45.958701495993274}, {37.458701356062065, 68.393691335056758},
|
|
{37.569326692060258, 27.673713456687381}, {60.674866037757539, 62.47349659096146}}},
|
|
|
|
{{{67.426548091427676, 37.993772624988935}, {23.483695892376684, 90.476863174921306},
|
|
{35.597065061143162, 79.872482633158796}, {75.38634169631932, 18.244890038969412}}},
|
|
{{{61.336508189019057, 82.693132843213675}, {44.639380902349664, 54.074825790745592},
|
|
{16.815615499771951, 20.049704667203923}, {41.866884958868326, 56.735503699973002}}},
|
|
|
|
{{{18.1312339, 31.6473732}, {95.5711034, 63.5350219}, {92.3283165, 62.0158945},
|
|
{18.5656052, 32.1268808}}},
|
|
{{{97.402018, 35.7169972}, {33.1127443, 25.8935163}, {1.13970027, 54.9424981},
|
|
{56.4860195, 60.529264}}},
|
|
};
|
|
|
|
const size_t testSetCount = SK_ARRAY_COUNT(testSet);
|
|
|
|
static const SkDCubic newTestSet[] = {
|
|
{{{3, 5}, {1, 6}, {5, 0}, {3, 1}}},
|
|
{{{0, 5}, {1, 3}, {5, 3}, {6, 1}}},
|
|
|
|
{{{0, 1}, {1, 5}, {1, 0}, {1, 0}}},
|
|
{{{0, 1}, {0, 1}, {1, 0}, {5, 1}}},
|
|
|
|
{{{1, 3}, {5, 6}, {5, 3}, {5, 4}}},
|
|
{{{3, 5}, {4, 5}, {3, 1}, {6, 5}}},
|
|
|
|
{{{0, 5}, {0, 5}, {5, 4}, {6, 4}}},
|
|
{{{4, 5}, {4, 6}, {5, 0}, {5, 0}}},
|
|
|
|
{{{0, 4}, {1, 3}, {5, 4}, {4, 2}}},
|
|
{{{4, 5}, {2, 4}, {4, 0}, {3, 1}}},
|
|
|
|
{{{0, 2}, {1, 5}, {3, 2}, {4, 1}}},
|
|
{{{2, 3}, {1, 4}, {2, 0}, {5, 1}}},
|
|
|
|
{{{0, 2}, {2, 3}, {5, 1}, {3, 2}}},
|
|
{{{1, 5}, {2, 3}, {2, 0}, {3, 2}}},
|
|
|
|
{{{2, 6}, {4, 5}, {1, 0}, {6, 1}}},
|
|
{{{0, 1}, {1, 6}, {6, 2}, {5, 4}}},
|
|
|
|
{{{0, 1}, {1, 2}, {6, 5}, {5, 4}}},
|
|
{{{5, 6}, {4, 5}, {1, 0}, {2, 1}}},
|
|
|
|
{{{2.5119999999999996, 1.5710000000000002}, {2.6399999999999983, 1.6599999999999997},
|
|
{2.8000000000000007, 1.8000000000000003}, {3, 2}}},
|
|
{{{2.4181876227114887, 1.9849772580462195}, {2.8269904869227211, 2.009330650246834},
|
|
{3.2004679292461624, 1.9942047174679169}, {3.4986199496818058, 2.0035994597094731}}},
|
|
|
|
{{{2, 3}, {1, 4}, {1, 0}, {6, 0}}},
|
|
{{{0, 1}, {0, 6}, {3, 2}, {4, 1}}},
|
|
|
|
{{{0, 2}, {1, 5}, {1, 0}, {6, 1}}},
|
|
{{{0, 1}, {1, 6}, {2, 0}, {5, 1}}},
|
|
|
|
{{{0, 1}, {1, 5}, {2, 1}, {4, 0}}},
|
|
{{{1, 2}, {0, 4}, {1, 0}, {5, 1}}},
|
|
|
|
{{{0, 1}, {3, 5}, {2, 1}, {3, 1}}},
|
|
{{{1, 2}, {1, 3}, {1, 0}, {5, 3}}},
|
|
|
|
{{{0, 1}, {2, 5}, {6, 0}, {5, 3}}},
|
|
{{{0, 6}, {3, 5}, {1, 0}, {5, 2}}},
|
|
|
|
{{{0, 1}, {3, 6}, {1, 0}, {5, 2}}},
|
|
{{{0, 1}, {2, 5}, {1, 0}, {6, 3}}},
|
|
|
|
{{{1, 2}, {5, 6}, {1, 0}, {1, 0}}},
|
|
{{{0, 1}, {0, 1}, {2, 1}, {6, 5}}},
|
|
|
|
{{{0, 6}, {1, 2}, {1, 0}, {1, 0}}},
|
|
{{{0, 1}, {0, 1}, {6, 0}, {2, 1}}},
|
|
|
|
{{{0, 2}, {0, 1}, {3, 0}, {1, 0}}},
|
|
{{{0, 3}, {0, 1}, {2, 0}, {1, 0}}},
|
|
};
|
|
|
|
const size_t newTestSetCount = SK_ARRAY_COUNT(newTestSet);
|
|
|
|
static void oneOff(skiatest::Reporter* reporter, const SkDCubic& cubic1, const SkDCubic& cubic2) {
|
|
#if ONE_OFF_DEBUG
|
|
SkDebugf("computed quadratics given\n");
|
|
SkDebugf(" {{{%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}}},\n",
|
|
cubic1[0].fX, cubic1[0].fY, cubic1[1].fX, cubic1[1].fY,
|
|
cubic1[2].fX, cubic1[2].fY, cubic1[3].fX, cubic1[3].fY);
|
|
SkDebugf(" {{{%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}}},\n",
|
|
cubic2[0].fX, cubic2[0].fY, cubic2[1].fX, cubic2[1].fY,
|
|
cubic2[2].fX, cubic2[2].fY, cubic2[3].fX, cubic2[3].fY);
|
|
#endif
|
|
SkTDArray<SkDQuad> quads1;
|
|
CubicToQuads(cubic1, cubic1.calcPrecision(), quads1);
|
|
#if ONE_OFF_DEBUG
|
|
SkDebugf("computed quadratics set 1\n");
|
|
for (int index = 0; index < quads1.count(); ++index) {
|
|
const SkDQuad& q = quads1[index];
|
|
SkDebugf(" {{{%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}}},\n", q[0].fX, q[0].fY,
|
|
q[1].fX, q[1].fY, q[2].fX, q[2].fY);
|
|
}
|
|
#endif
|
|
SkTDArray<SkDQuad> quads2;
|
|
CubicToQuads(cubic2, cubic2.calcPrecision(), quads2);
|
|
#if ONE_OFF_DEBUG
|
|
SkDebugf("computed quadratics set 2\n");
|
|
for (int index = 0; index < quads2.count(); ++index) {
|
|
const SkDQuad& q = quads2[index];
|
|
SkDebugf(" {{{%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}}},\n", q[0].fX, q[0].fY,
|
|
q[1].fX, q[1].fY, q[2].fX, q[2].fY);
|
|
}
|
|
#endif
|
|
SkIntersections intersections;
|
|
intersections.intersect(cubic1, cubic2);
|
|
double tt1, tt2;
|
|
SkDPoint xy1, xy2;
|
|
for (int pt3 = 0; pt3 < intersections.used(); ++pt3) {
|
|
tt1 = intersections[0][pt3];
|
|
xy1 = cubic1.xyAtT(tt1);
|
|
tt2 = intersections[1][pt3];
|
|
xy2 = cubic2.xyAtT(tt2);
|
|
#if ONE_OFF_DEBUG
|
|
SkDebugf("%s t1=%1.9g (%1.9g, %1.9g) (%1.9g, %1.9g) (%1.9g, %1.9g) t2=%1.9g\n",
|
|
__FUNCTION__, tt1, xy1.fX, xy1.fY, intersections.pt(pt3).fX,
|
|
intersections.pt(pt3).fY, xy2.fX, xy2.fY, tt2);
|
|
#endif
|
|
REPORTER_ASSERT(reporter, xy1.approximatelyEqual(xy2));
|
|
}
|
|
}
|
|
|
|
static void oneOff(skiatest::Reporter* reporter, int outer, int inner) {
|
|
const SkDCubic& cubic1 = testSet[outer];
|
|
const SkDCubic& cubic2 = testSet[inner];
|
|
oneOff(reporter, cubic1, cubic2);
|
|
}
|
|
|
|
static void newOneOff(skiatest::Reporter* reporter, int outer, int inner) {
|
|
const SkDCubic& cubic1 = newTestSet[outer];
|
|
const SkDCubic& cubic2 = newTestSet[inner];
|
|
oneOff(reporter, cubic1, cubic2);
|
|
}
|
|
|
|
static void oneOffTest(skiatest::Reporter* reporter) {
|
|
oneOff(reporter, 14, 16);
|
|
newOneOff(reporter, 0, 1);
|
|
}
|
|
|
|
static void oneOffTests(skiatest::Reporter* reporter) {
|
|
for (size_t outer = 0; outer < testSetCount - 1; ++outer) {
|
|
for (size_t inner = outer + 1; inner < testSetCount; ++inner) {
|
|
oneOff(reporter, outer, inner);
|
|
}
|
|
}
|
|
for (size_t outer = 0; outer < newTestSetCount - 1; ++outer) {
|
|
for (size_t inner = outer + 1; inner < newTestSetCount; ++inner) {
|
|
oneOff(reporter, outer, inner);
|
|
}
|
|
}
|
|
}
|
|
|
|
#define DEBUG_CRASH 0
|
|
|
|
static void CubicIntersection_RandTest(skiatest::Reporter* reporter) {
|
|
srand(0);
|
|
const int tests = 10000000;
|
|
#if !defined(SK_BUILD_FOR_WIN) && !defined(SK_BUILD_FOR_ANDROID)
|
|
unsigned seed = 0;
|
|
#endif
|
|
for (int test = 0; test < tests; ++test) {
|
|
SkDCubic cubic1, cubic2;
|
|
for (int i = 0; i < 4; ++i) {
|
|
cubic1[i].fX = static_cast<double>(SK_RAND(seed)) / RAND_MAX * 100;
|
|
cubic1[i].fY = static_cast<double>(SK_RAND(seed)) / RAND_MAX * 100;
|
|
cubic2[i].fX = static_cast<double>(SK_RAND(seed)) / RAND_MAX * 100;
|
|
cubic2[i].fY = static_cast<double>(SK_RAND(seed)) / RAND_MAX * 100;
|
|
}
|
|
#if DEBUG_CRASH
|
|
char str[1024];
|
|
snprintf(str, sizeof(str),
|
|
"{{{%1.9g, %1.9g}, {%1.9g, %1.9g}, {%1.9g, %1.9g}, {%1.9g, %1.9g}}},\n"
|
|
"{{{%1.9g, %1.9g}, {%1.9g, %1.9g}, {%1.9g, %1.9g}, {%1.9g, %1.9g}}},\n",
|
|
cubic1[0].fX, cubic1[0].fY, cubic1[1].fX, cubic1[1].fY, cubic1[2].fX, cubic1[2].fY,
|
|
cubic1[3].fX, cubic1[3].fY,
|
|
cubic2[0].fX, cubic2[0].fY, cubic2[1].fX, cubic2[1].fY, cubic2[2].fX, cubic2[2].fY,
|
|
cubic2[3].fX, cubic2[3].fY);
|
|
#endif
|
|
SkDRect rect1, rect2;
|
|
rect1.setBounds(cubic1);
|
|
rect2.setBounds(cubic2);
|
|
bool boundsIntersect = rect1.fLeft <= rect2.fRight && rect2.fLeft <= rect2.fRight
|
|
&& rect1.fTop <= rect2.fBottom && rect2.fTop <= rect1.fBottom;
|
|
if (test == -1) {
|
|
SkDebugf("ready...\n");
|
|
}
|
|
SkIntersections intersections2;
|
|
int newIntersects = intersections2.intersect(cubic1, cubic2);
|
|
if (!boundsIntersect && newIntersects) {
|
|
#if DEBUG_CRASH
|
|
SkDebugf("%s %d unexpected intersection boundsIntersect=%d "
|
|
" newIntersects=%d\n%s %s\n", __FUNCTION__, test, boundsIntersect,
|
|
newIntersects, __FUNCTION__, str);
|
|
#endif
|
|
REPORTER_ASSERT(reporter, 0);
|
|
}
|
|
for (int pt = 0; pt < intersections2.used(); ++pt) {
|
|
double tt1 = intersections2[0][pt];
|
|
SkDPoint xy1 = cubic1.xyAtT(tt1);
|
|
double tt2 = intersections2[1][pt];
|
|
SkDPoint xy2 = cubic2.xyAtT(tt2);
|
|
REPORTER_ASSERT(reporter, xy1.approximatelyEqual(xy2));
|
|
}
|
|
}
|
|
}
|
|
|
|
static void intersectionFinder(int index0, int index1, double t1Seed, double t2Seed,
|
|
double t1Step, double t2Step) {
|
|
const SkDCubic& cubic1 = newTestSet[index0];
|
|
const SkDCubic& cubic2 = newTestSet[index1];
|
|
SkDPoint t1[3], t2[3];
|
|
bool toggle = true;
|
|
do {
|
|
t1[0] = cubic1.xyAtT(t1Seed - t1Step);
|
|
t1[1] = cubic1.xyAtT(t1Seed);
|
|
t1[2] = cubic1.xyAtT(t1Seed + t1Step);
|
|
t2[0] = cubic2.xyAtT(t2Seed - t2Step);
|
|
t2[1] = cubic2.xyAtT(t2Seed);
|
|
t2[2] = cubic2.xyAtT(t2Seed + t2Step);
|
|
double dist[3][3];
|
|
dist[1][1] = t1[1].distance(t2[1]);
|
|
int best_i = 1, best_j = 1;
|
|
for (int i = 0; i < 3; ++i) {
|
|
for (int j = 0; j < 3; ++j) {
|
|
if (i == 1 && j == 1) {
|
|
continue;
|
|
}
|
|
dist[i][j] = t1[i].distance(t2[j]);
|
|
if (dist[best_i][best_j] > dist[i][j]) {
|
|
best_i = i;
|
|
best_j = j;
|
|
}
|
|
}
|
|
}
|
|
if (best_i == 0) {
|
|
t1Seed -= t1Step;
|
|
} else if (best_i == 2) {
|
|
t1Seed += t1Step;
|
|
}
|
|
if (best_j == 0) {
|
|
t2Seed -= t2Step;
|
|
} else if (best_j == 2) {
|
|
t2Seed += t2Step;
|
|
}
|
|
if (best_i == 1 && best_j == 1) {
|
|
if ((toggle ^= true)) {
|
|
t1Step /= 2;
|
|
} else {
|
|
t2Step /= 2;
|
|
}
|
|
}
|
|
} while (!t1[1].approximatelyEqual(t2[1]));
|
|
t1Step = t2Step = 0.1;
|
|
double t10 = t1Seed - t1Step * 2;
|
|
double t12 = t1Seed + t1Step * 2;
|
|
double t20 = t2Seed - t2Step * 2;
|
|
double t22 = t2Seed + t2Step * 2;
|
|
SkDPoint test;
|
|
while (!approximately_zero(t1Step)) {
|
|
test = cubic1.xyAtT(t10);
|
|
t10 += t1[1].approximatelyEqual(test) ? -t1Step : t1Step;
|
|
t1Step /= 2;
|
|
}
|
|
t1Step = 0.1;
|
|
while (!approximately_zero(t1Step)) {
|
|
test = cubic1.xyAtT(t12);
|
|
t12 -= t1[1].approximatelyEqual(test) ? -t1Step : t1Step;
|
|
t1Step /= 2;
|
|
}
|
|
while (!approximately_zero(t2Step)) {
|
|
test = cubic2.xyAtT(t20);
|
|
t20 += t2[1].approximatelyEqual(test) ? -t2Step : t2Step;
|
|
t2Step /= 2;
|
|
}
|
|
t2Step = 0.1;
|
|
while (!approximately_zero(t2Step)) {
|
|
test = cubic2.xyAtT(t22);
|
|
t22 -= t2[1].approximatelyEqual(test) ? -t2Step : t2Step;
|
|
t2Step /= 2;
|
|
}
|
|
#if ONE_OFF_DEBUG
|
|
SkDebugf("%s t1=(%1.9g<%1.9g<%1.9g) t2=(%1.9g<%1.9g<%1.9g)\n", __FUNCTION__,
|
|
t10, t1Seed, t12, t20, t2Seed, t22);
|
|
SkDPoint p10 = cubic1.xyAtT(t10);
|
|
SkDPoint p1Seed = cubic1.xyAtT(t1Seed);
|
|
SkDPoint p12 = cubic1.xyAtT(t12);
|
|
SkDebugf("%s p1=(%1.9g,%1.9g)<(%1.9g,%1.9g)<(%1.9g,%1.9g)\n", __FUNCTION__,
|
|
p10.fX, p10.fY, p1Seed.fX, p1Seed.fY, p12.fX, p12.fY);
|
|
SkDPoint p20 = cubic2.xyAtT(t20);
|
|
SkDPoint p2Seed = cubic2.xyAtT(t2Seed);
|
|
SkDPoint p22 = cubic2.xyAtT(t22);
|
|
SkDebugf("%s p2=(%1.9g,%1.9g)<(%1.9g,%1.9g)<(%1.9g,%1.9g)\n", __FUNCTION__,
|
|
p20.fX, p20.fY, p2Seed.fX, p2Seed.fY, p22.fX, p22.fY);
|
|
#endif
|
|
}
|
|
|
|
static void CubicIntersection_IntersectionFinder() {
|
|
// double t1Seed = 0.87;
|
|
// double t2Seed = 0.87;
|
|
double t1Step = 0.000001;
|
|
double t2Step = 0.000001;
|
|
intersectionFinder(0, 1, 0.855895664, 0.864850875, t1Step, t2Step);
|
|
intersectionFinder(0, 1, 0.865207906, 0.865207887, t1Step, t2Step);
|
|
intersectionFinder(0, 1, 0.865213351, 0.865208087, t1Step, t2Step);
|
|
}
|
|
|
|
static void cubicIntersectionSelfTest(skiatest::Reporter* reporter) {
|
|
const SkDCubic selfSet[] = {
|
|
{{{0, 2}, {2, 3}, {5, 1}, {3, 2}}},
|
|
{{{0, 2}, {3, 5}, {5, 0}, {4, 2}}},
|
|
{{{3.34, 8.98}, {1.95, 10.27}, {3.76, 7.65}, {4.96, 10.64}}},
|
|
{{{3.13, 2.74}, {1.08, 4.62}, {3.71, 0.94}, {2.01, 3.81}}},
|
|
{{{6.71, 3.14}, {7.99, 2.75}, {8.27, 1.96}, {6.35, 3.57}}},
|
|
{{{12.81, 7.27}, {7.22, 6.98}, {12.49, 8.97}, {11.42, 6.18}}},
|
|
};
|
|
size_t selfSetCount = SK_ARRAY_COUNT(selfSet);
|
|
size_t firstFail = 1;
|
|
for (size_t index = firstFail; index < selfSetCount; ++index) {
|
|
const SkDCubic& cubic = selfSet[index];
|
|
#if ONE_OFF_DEBUG
|
|
int idx2;
|
|
double max[3];
|
|
int ts = cubic.findMaxCurvature(max);
|
|
for (idx2 = 0; idx2 < ts; ++idx2) {
|
|
SkDebugf("%s max[%d]=%1.9g (%1.9g, %1.9g)\n", __FUNCTION__, idx2,
|
|
max[idx2], cubic.xyAtT(max[idx2]).fX, cubic.xyAtT(max[idx2]).fY);
|
|
}
|
|
SkTDArray<double> ts1;
|
|
SkTDArray<SkDQuad> quads1;
|
|
cubic.toQuadraticTs(cubic.calcPrecision(), &ts1);
|
|
for (idx2 = 0; idx2 < ts1.count(); ++idx2) {
|
|
SkDebugf("%s t[%d]=%1.9g\n", __FUNCTION__, idx2, ts1[idx2]);
|
|
}
|
|
CubicToQuads(cubic, cubic.calcPrecision(), quads1);
|
|
for (idx2 = 0; idx2 < quads1.count(); ++idx2) {
|
|
const SkDQuad& q = quads1[idx2];
|
|
SkDebugf(" {{{%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}}},\n",
|
|
q[0].fX, q[0].fY, q[1].fX, q[1].fY, q[2].fX, q[2].fY);
|
|
}
|
|
SkDebugf("\n");
|
|
#endif
|
|
SkIntersections i;
|
|
int result = i.intersect(cubic);
|
|
REPORTER_ASSERT(reporter, result == 1);
|
|
REPORTER_ASSERT(reporter, i.used() == 1);
|
|
REPORTER_ASSERT(reporter, !approximately_equal(i[0][0], i[1][0]));
|
|
SkDPoint pt1 = cubic.xyAtT(i[0][0]);
|
|
SkDPoint pt2 = cubic.xyAtT(i[1][0]);
|
|
REPORTER_ASSERT(reporter, pt1.approximatelyEqual(pt2));
|
|
}
|
|
}
|
|
|
|
static void PathOpsCubicIntersectionTest(skiatest::Reporter* reporter) {
|
|
oneOffTest(reporter);
|
|
oneOffTests(reporter);
|
|
cubicIntersectionSelfTest(reporter);
|
|
standardTestCases(reporter);
|
|
if (false) CubicIntersection_IntersectionFinder();
|
|
if (false) CubicIntersection_RandTest(reporter);
|
|
}
|
|
|
|
#include "TestClassDef.h"
|
|
DEFINE_TESTCLASS_SHORT(PathOpsCubicIntersectionTest)
|