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skia2/tests/PathOpsCubicQuadIntersectionTest.cpp
caryclark e4097e3a0b Fix last pathops skp bug 
This fixes the last bug discovered by iterating through the 800K
skp corpus representing the top 1M websites. For every clip on the
stack, the paths are replaced with the pathop intersection. The
resulting draw is compared with the original draw for pixel errors.

At least two prominent bugs remain. In one, the winding value is
confused by a cubic with an inflection. In the other, a quad/cubic
pair, nearly coincident, fails to find an intersection.

These minor changes include ignoring very tiny self-intersections
of cubics, and processing degenerate edges that don't connect to
anything else.

R=reed@android.com
TBR=reed

Author: caryclark@google.com

Review URL: https://codereview.chromium.org/340103002
2014-06-18 07:24:19 -07:00

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/*
* Copyright 2013 Google Inc.
*
* Use of this source code is governed by a BSD-style license that can be
* found in the LICENSE file.
*/
#include "PathOpsTestCommon.h"
#include "SkIntersections.h"
#include "SkPathOpsCubic.h"
#include "SkPathOpsQuad.h"
#include "SkRandom.h"
#include "SkReduceOrder.h"
#include "Test.h"
static struct quadCubic {
SkDCubic cubic;
SkDQuad quad;
int answerCount;
SkDPoint answers[2];
} quadCubicTests[] = {
#if 0 // FIXME : this should not fail (root problem behind skpcarrot_is24 )
{{{{1020.08099,672.161987}, {1020.08002,630.73999}, {986.502014,597.161987}, {945.080994,597.161987}}},
{{{1020,672}, {1020,640.93396}, {998.03302,618.96698}}}, 1,
{{1019.421, 662.449}}},
#endif
{{{{778, 14089}, {778, 14091.208984375}, {776.20916748046875, 14093}, {774, 14093}}},
{{{778, 14089}, {777.99957275390625, 14090.65625}, {776.82843017578125, 14091.828125}}}, 2,
{{778, 14089}, {776.82855609581270,14091.828250841330}}},
{{{{1110, 817}, {1110.55225f, 817}, {1111, 817.447693f}, {1111, 818}}},
{{{1110.70715f, 817.292908f}, {1110.41406f, 817.000122f}, {1110, 817}}}, 2,
{{1110, 817}, {1110.70715f, 817.292908f}}},
{{{{1110, 817}, {1110.55225f, 817}, {1111, 817.447693f}, {1111, 818}}},
{{{1111, 818}, {1110.99988f, 817.585876f}, {1110.70715f, 817.292908f}}}, 2,
{{1110.70715f, 817.292908f}, {1111, 818}}},
{{{{55, 207}, {52.238574981689453, 207}, {50, 204.76142883300781}, {50, 202}}},
{{{55, 207}, {52.929431915283203, 206.99949645996094},
{51.464466094970703, 205.53553771972656}}}, 2,
{{55, 207}, {51.464466094970703, 205.53553771972656}}},
{{{{49, 47}, {49, 74.614250183105469}, {26.614250183105469, 97}, {-1, 97}}},
{{{-8.659739592076221e-015, 96.991401672363281}, {20.065492630004883, 96.645187377929688},
{34.355339050292969, 82.355339050292969}}}, 2,
{{34.355339050292969,82.355339050292969}, {34.28654835573549, 82.424006509351585}}},
{{{{10,234}, {10,229.58172607421875}, {13.581720352172852,226}, {18,226}}},
{{{18,226}, {14.686291694641113,226}, {12.342399597167969,228.3424072265625}}}, 1,
{{18,226}, {0,0}}},
{{{{10,234}, {10,229.58172607421875}, {13.581720352172852,226}, {18,226}}},
{{{12.342399597167969,228.3424072265625}, {10,230.68629455566406}, {10,234}}}, 1,
{{10,234}, {0,0}}},
};
static const int quadCubicTests_count = (int) SK_ARRAY_COUNT(quadCubicTests);
static void cubicQuadIntersection(skiatest::Reporter* reporter, int index) {
int iIndex = static_cast<int>(index);
const SkDCubic& cubic = quadCubicTests[index].cubic;
SkASSERT(ValidCubic(cubic));
const SkDQuad& quad = quadCubicTests[index].quad;
SkASSERT(ValidQuad(quad));
SkReduceOrder reduce1;
SkReduceOrder reduce2;
int order1 = reduce1.reduce(cubic, SkReduceOrder::kNo_Quadratics);
int order2 = reduce2.reduce(quad);
if (order1 != 4) {
SkDebugf("[%d] cubic order=%d\n", iIndex, order1);
REPORTER_ASSERT(reporter, 0);
}
if (order2 != 3) {
SkDebugf("[%d] quad order=%d\n", iIndex, order2);
REPORTER_ASSERT(reporter, 0);
}
SkIntersections i;
int roots = i.intersect(cubic, quad);
SkASSERT(roots == quadCubicTests[index].answerCount);
for (int pt = 0; pt < roots; ++pt) {
double tt1 = i[0][pt];
SkDPoint xy1 = cubic.ptAtT(tt1);
double tt2 = i[1][pt];
SkDPoint xy2 = quad.ptAtT(tt2);
if (!xy1.approximatelyEqual(xy2)) {
SkDebugf("%s [%d,%d] x!= t1=%g (%g,%g) t2=%g (%g,%g)\n",
__FUNCTION__, iIndex, pt, tt1, xy1.fX, xy1.fY, tt2, xy2.fX, xy2.fY);
}
REPORTER_ASSERT(reporter, xy1.approximatelyEqual(xy2));
bool found = false;
for (int idx2 = 0; idx2 < quadCubicTests[index].answerCount; ++idx2) {
found |= quadCubicTests[index].answers[idx2].approximatelyEqual(xy1);
}
if (!found) {
SkDebugf("%s [%d,%d] xy1=(%g,%g) != \n",
__FUNCTION__, iIndex, pt, xy1.fX, xy1.fY);
}
REPORTER_ASSERT(reporter, found);
}
reporter->bumpTestCount();
}
DEF_TEST(PathOpsCubicQuadIntersection, reporter) {
for (int index = 0; index < quadCubicTests_count; ++index) {
cubicQuadIntersection(reporter, index);
reporter->bumpTestCount();
}
}
DEF_TEST(PathOpsCubicQuadIntersectionOneOff, reporter) {
cubicQuadIntersection(reporter, 0);
}
static bool gPathOpCubicQuadSlopVerbose = false;
static const int kCubicToQuadSubdivisionDepth = 8; // slots reserved for cubic to quads subdivision
// determine that slop required after quad/quad finds a candidate intersection
// use the cross of the tangents plus the distance from 1 or 0 as knobs
DEF_TEST(PathOpsCubicQuadSlop, reporter) {
// create a random non-selfintersecting cubic
// break it into quadratics
// offset the quadratic, measuring the slop required to find the intersection
if (!gPathOpCubicQuadSlopVerbose) { // takes a while to run -- so exclude it by default
return;
}
int results[101];
sk_bzero(results, sizeof(results));
double minCross[101];
sk_bzero(minCross, sizeof(minCross));
double maxCross[101];
sk_bzero(maxCross, sizeof(maxCross));
double sumCross[101];
sk_bzero(sumCross, sizeof(sumCross));
int foundOne = 0;
int slopCount = 1;
SkRandom ran;
for (int index = 0; index < 10000000; ++index) {
if (index % 1000 == 999) SkDebugf(".");
SkDCubic cubic = {{
{ran.nextRangeF(-1000, 1000), ran.nextRangeF(-1000, 1000)},
{ran.nextRangeF(-1000, 1000), ran.nextRangeF(-1000, 1000)},
{ran.nextRangeF(-1000, 1000), ran.nextRangeF(-1000, 1000)},
{ran.nextRangeF(-1000, 1000), ran.nextRangeF(-1000, 1000)}
}};
SkIntersections i;
if (i.intersect(cubic)) {
continue;
}
SkSTArray<kCubicToQuadSubdivisionDepth, double, true> ts;
cubic.toQuadraticTs(cubic.calcPrecision(), &ts);
double tStart = 0;
int tsCount = ts.count();
for (int i1 = 0; i1 <= tsCount; ++i1) {
const double tEnd = i1 < tsCount ? ts[i1] : 1;
SkDCubic part = cubic.subDivide(tStart, tEnd);
SkDQuad quad = part.toQuad();
SkReduceOrder reducer;
int order = reducer.reduce(quad);
if (order != 3) {
continue;
}
for (int i2 = 0; i2 < 100; ++i2) {
SkDPoint endDisplacement = {ran.nextRangeF(-100, 100), ran.nextRangeF(-100, 100)};
SkDQuad nearby = {{
{quad[0].fX + endDisplacement.fX, quad[0].fY + endDisplacement.fY},
{quad[1].fX + ran.nextRangeF(-100, 100), quad[1].fY + ran.nextRangeF(-100, 100)},
{quad[2].fX - endDisplacement.fX, quad[2].fY - endDisplacement.fY}
}};
order = reducer.reduce(nearby);
if (order != 3) {
continue;
}
SkIntersections locals;
locals.allowNear(false);
locals.intersect(quad, nearby);
if (locals.used() != 1) {
continue;
}
// brute force find actual intersection
SkDLine cubicLine = {{ {0, 0}, {cubic[0].fX, cubic[0].fY } }};
SkIntersections liner;
int i3;
int found = -1;
int foundErr = true;
for (i3 = 1; i3 <= 1000; ++i3) {
cubicLine[0] = cubicLine[1];
cubicLine[1] = cubic.ptAtT(i3 / 1000.);
liner.reset();
liner.allowNear(false);
liner.intersect(nearby, cubicLine);
if (liner.used() == 0) {
continue;
}
if (liner.used() > 1) {
foundErr = true;
break;
}
if (found > 0) {
foundErr = true;
break;
}
foundErr = false;
found = i3;
}
if (foundErr) {
continue;
}
SkDVector dist = liner.pt(0) - locals.pt(0);
SkDVector qV = nearby.dxdyAtT(locals[0][0]);
double cubicT = (found - 1 + liner[1][0]) / 1000.;
SkDVector cV = cubic.dxdyAtT(cubicT);
double qxc = qV.crossCheck(cV);
double qvLen = qV.length();
double cvLen = cV.length();
double maxLen = SkTMax(qvLen, cvLen);
qxc /= maxLen;
double quadT = tStart + (tEnd - tStart) * locals[0][0];
double diffT = fabs(cubicT - quadT);
int diffIdx = (int) (diffT * 100);
results[diffIdx]++;
double absQxc = fabs(qxc);
if (sumCross[diffIdx] == 0) {
minCross[diffIdx] = maxCross[diffIdx] = sumCross[diffIdx] = absQxc;
} else {
minCross[diffIdx] = SkTMin(minCross[diffIdx], absQxc);
maxCross[diffIdx] = SkTMax(maxCross[diffIdx], absQxc);
sumCross[diffIdx] += absQxc;
}
if (diffIdx >= 20) {
#if 01
SkDebugf("cubic={{{%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}}}"
" quad={{{%1.9g,%1.9g}, {%1.9g,%1.9g}, {%1.9g,%1.9g}}}"
" {{{%1.9g,%1.9g}, {%1.9g,%1.9g}}}"
" qT=%1.9g cT=%1.9g dist=%1.9g cross=%1.9g\n",
cubic[0].fX, cubic[0].fY, cubic[1].fX, cubic[1].fY,
cubic[2].fX, cubic[2].fY, cubic[3].fX, cubic[3].fY,
nearby[0].fX, nearby[0].fY, nearby[1].fX, nearby[1].fY,
nearby[2].fX, nearby[2].fY,
liner.pt(0).fX, liner.pt(0).fY,
locals.pt(0).fX, locals.pt(0).fY, quadT, cubicT, dist.length(), qxc);
#else
SkDebugf("qT=%1.9g cT=%1.9g dist=%1.9g cross=%1.9g\n",
quadT, cubicT, dist.length(), qxc);
SkDebugf("<div id=\"slop%d\">\n", ++slopCount);
SkDebugf("{{{%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}}}\n"
"{{{%1.9g,%1.9g}, {%1.9g,%1.9g}}}\n",
cubic[0].fX, cubic[0].fY, cubic[1].fX, cubic[1].fY,
cubic[2].fX, cubic[2].fY, cubic[3].fX, cubic[3].fY,
nearby[0].fX, nearby[0].fY, nearby[1].fX, nearby[1].fY,
nearby[2].fX, nearby[2].fY,
liner.pt(0).fX, liner.pt(0).fY,
locals.pt(0).fX, locals.pt(0).fY);
SkDebugf("</div>\n\n");
#endif
}
++foundOne;
}
tStart = tEnd;
}
if (++foundOne >= 100000) {
break;
}
}
#if 01
SkDebugf("slopCount=%d\n", slopCount);
int max = 100;
while (results[max] == 0) {
--max;
}
for (int i = 0; i <= max; ++i) {
if (i > 0 && i % 10 == 0) {
SkDebugf("\n");
}
SkDebugf("%d ", results[i]);
}
SkDebugf("min\n");
for (int i = 0; i <= max; ++i) {
if (i > 0 && i % 10 == 0) {
SkDebugf("\n");
}
SkDebugf("%1.9g ", minCross[i]);
}
SkDebugf("max\n");
for (int i = 0; i <= max; ++i) {
if (i > 0 && i % 10 == 0) {
SkDebugf("\n");
}
SkDebugf("%1.9g ", maxCross[i]);
}
SkDebugf("avg\n");
for (int i = 0; i <= max; ++i) {
if (i > 0 && i % 10 == 0) {
SkDebugf("\n");
}
SkDebugf("%1.9g ", sumCross[i] / results[i]);
}
#else
for (int i = 1; i < slopCount; ++i) {
SkDebugf(" slop%d,\n", i);
}
#endif
SkDebugf("\n");
}
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