bool SkOpContour::addPartialCoincident(int index, SkOpContour* other, int otherIndex,
const SkIntersections& ts, int ptIndex, bool swap) {
SkPoint pt0 = ts.pt(ptIndex).asSkPoint();
SkPoint pt1 = ts.pt(ptIndex + 1).asSkPoint();
if (SkDPoint::ApproximatelyEqual(pt0, pt1)) {
// FIXME: one could imagine a case where it would be incorrect to ignore this
// suppose two self-intersecting cubics overlap to form a partial coincidence --
// although it isn't clear why the regular coincidence could wouldn't pick this up
// this is exceptional enough to ignore for now
return false;
}
SkCoincidence& coincidence = fPartialCoincidences.push_back();
coincidence.fOther = other;
coincidence.fSegments[0] = index;
coincidence.fSegments[1] = otherIndex;
coincidence.fTs[swap][0] = ts[0][ptIndex];
coincidence.fTs[swap][1] = ts[0][ptIndex + 1];
coincidence.fTs[!swap][0] = ts[1][ptIndex];
coincidence.fTs[!swap][1] = ts[1][ptIndex + 1];
coincidence.fPts[0][0] = coincidence.fPts[1][0] = pt0;
coincidence.fPts[0][1] = coincidence.fPts[1][1] = pt1;
coincidence.fNearly[0] = 0;
coincidence.fNearly[1] = 0;
return true;
}
static void selfOneOff(skiatest::Reporter* reporter, int 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.ptAtT(max[idx2]).fX, cubic.ptAtT(max[idx2]).fY);
}
SkTArray<double, true> ts1;
SkTArray<SkDQuad, true> 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.ptAtT(i[0][0]);
SkDPoint pt2 = cubic.ptAtT(i[1][0]);
REPORTER_ASSERT(reporter, pt1.approximatelyEqual(pt2));
reporter->bumpTestCount();
}
DEF_TEST(PathOpsAngleFindQuadEpsilon, reporter) {
if (gDisableAngleTests) {
return;
}
SkRandom ran;
int maxEpsilon = 0;
double maxAngle = 0;
for (int index = 0; index < 100000; ++index) {
SkDLine line = {{{0, 0}, {ran.nextRangeF(0.0001f, 1000), ran.nextRangeF(0.0001f, 1000)}}};
float t = ran.nextRangeF(0.0001f, 1);
SkDPoint dPt = line.ptAtT(t);
float t2 = ran.nextRangeF(0.0001f, 1);
SkDPoint qPt = line.ptAtT(t2);
float t3 = ran.nextRangeF(0.0001f, 1);
SkDPoint qPt2 = line.ptAtT(t3);
qPt.fX += qPt2.fY;
qPt.fY -= qPt2.fX;
QuadPts q = {{line[0], dPt, qPt}};
SkDQuad quad;
quad.debugSet(q.fPts);
// binary search for maximum movement of quad[1] towards test that still has 1 intersection
double moveT = 0.5f;
double deltaT = moveT / 2;
SkDPoint last;
do {
last = quad[1];
quad[1].fX = dPt.fX - line[1].fY * moveT;
quad[1].fY = dPt.fY + line[1].fX * moveT;
SkIntersections i;
i.intersect(quad, line);
REPORTER_ASSERT(reporter, i.used() > 0);
if (i.used() == 1) {
moveT += deltaT;
} else {
moveT -= deltaT;
}
deltaT /= 2;
} while (last.asSkPoint() != quad[1].asSkPoint());
float p1 = SkDoubleToScalar(line[1].fX * last.fY);
float p2 = SkDoubleToScalar(line[1].fY * last.fX);
int p1Bits = SkFloatAs2sCompliment(p1);
int p2Bits = SkFloatAs2sCompliment(p2);
int epsilon = SkTAbs(p1Bits - p2Bits);
if (maxEpsilon < epsilon) {
SkDebugf("line={{0, 0}, {%1.7g, %1.7g}} t=%1.7g/%1.7g/%1.7g moveT=%1.7g"
" pt={%1.7g, %1.7g} epsilon=%d\n",
line[1].fX, line[1].fY, t, t2, t3, moveT, last.fX, last.fY, epsilon);
maxEpsilon = epsilon;
}
double a1 = atan2(line[1].fY, line[1].fX);
double a2 = atan2(last.fY, last.fX);
double angle = fabs(a1 - a2);
if (maxAngle < angle) {
SkDebugf("line={{0, 0}, {%1.7g, %1.7g}} t=%1.7g/%1.7g/%1.7g moveT=%1.7g"
" pt={%1.7g, %1.7g} angle=%1.7g\n",
line[1].fX, line[1].fY, t, t2, t3, moveT, last.fX, last.fY, angle);
maxAngle = angle;
}
}
}
static int doIntersect(SkIntersections& intersections, const SkDConic& conic, const SkDLine& line,
bool& flipped) {
int result;
flipped = false;
if (line[0].fX == line[1].fX) {
double top = line[0].fY;
double bottom = line[1].fY;
flipped = top > bottom;
if (flipped) {
SkTSwap<double>(top, bottom);
}
result = intersections.vertical(conic, top, bottom, line[0].fX, flipped);
} else if (line[0].fY == line[1].fY) {
double left = line[0].fX;
double right = line[1].fX;
flipped = left > right;
if (flipped) {
SkTSwap<double>(left, right);
}
result = intersections.horizontal(conic, left, right, line[0].fY, flipped);
} else {
intersections.intersect(conic, line);
result = intersections.used();
}
return result;
}
bool SkOpContour::addCoincident(int index, SkOpContour* other, int otherIndex,
const SkIntersections& ts, bool swap) {
SkPoint pt0 = ts.pt(0).asSkPoint();
SkPoint pt1 = ts.pt(1).asSkPoint();
if (pt0 == pt1) {
// FIXME: one could imagine a case where it would be incorrect to ignore this
// suppose two self-intersecting cubics overlap to be coincident --
// this needs to check that by some measure the t values are far enough apart
// or needs to check to see if the self-intersection bit was set on the cubic segment
return false;
}
SkCoincidence& coincidence = fCoincidences.push_back();
coincidence.fOther = other;
coincidence.fSegments[0] = index;
coincidence.fSegments[1] = otherIndex;
coincidence.fTs[swap][0] = ts[0][0];
coincidence.fTs[swap][1] = ts[0][1];
coincidence.fTs[!swap][0] = ts[1][0];
coincidence.fTs[!swap][1] = ts[1][1];
coincidence.fPts[swap][0] = pt0;
coincidence.fPts[swap][1] = pt1;
bool nearStart = ts.nearlySame(0);
bool nearEnd = ts.nearlySame(1);
coincidence.fPts[!swap][0] = nearStart ? ts.pt2(0).asSkPoint() : pt0;
coincidence.fPts[!swap][1] = nearEnd ? ts.pt2(1).asSkPoint() : pt1;
coincidence.fNearly[0] = nearStart;
coincidence.fNearly[1] = nearEnd;
return true;
}
static void TestLineIntersection(skiatest::Reporter* reporter) {
size_t index;
for (index = 0; index < tests_count; ++index) {
const SkDLine& line1 = tests[index][0];
const SkDLine& line2 = tests[index][1];
SkIntersections ts;
int pts = ts.intersect(line1, line2);
REPORTER_ASSERT(reporter, pts);
for (int i = 0; i < pts; ++i) {
SkDPoint result1 = line1.xyAtT(ts[0][i]);
SkDPoint result2 = line2.xyAtT(ts[1][i]);
if (!result1.approximatelyEqual(result2)) {
REPORTER_ASSERT(reporter, pts != 1);
result2 = line2.xyAtT(ts[1][i ^ 1]);
REPORTER_ASSERT(reporter, result1.approximatelyEqual(result2));
}
}
}
for (index = 0; index < noIntersect_count; ++index) {
const SkDLine& line1 = noIntersect[index][0];
const SkDLine& line2 = noIntersect[index][1];
SkIntersections ts;
int pts = ts.intersect(line1, line2);
REPORTER_ASSERT(reporter, !pts);
}
}
static int doIntersect(SkIntersections& intersections, const SkDQuad& quad, const SkDLine& line,
bool& flipped) {
int result;
flipped = false;
if (line[0].fX == line[1].fX) {
double top = line[0].fY;
double bottom = line[1].fY;
flipped = top > bottom;
if (flipped) {
using std::swap;
swap(top, bottom);
}
result = intersections.vertical(quad, top, bottom, line[0].fX, flipped);
} else if (line[0].fY == line[1].fY) {
double left = line[0].fX;
double right = line[1].fX;
flipped = left > right;
if (flipped) {
using std::swap;
swap(left, right);
}
result = intersections.horizontal(quad, left, right, line[0].fY, flipped);
} else {
intersections.intersect(quad, line);
result = intersections.used();
}
return result;
}
// returns false if there's more than one intercept or the intercept doesn't match the point
// returns true if the intercept was successfully added or if the
// original quads need to be subdivided
static bool add_intercept(const SkDQuad& q1, const SkDQuad& q2, double tMin, double tMax,
SkIntersections* i, bool* subDivide) {
double tMid = (tMin + tMax) / 2;
SkDPoint mid = q2.ptAtT(tMid);
SkDLine line;
line[0] = line[1] = mid;
SkDVector dxdy = q2.dxdyAtT(tMid);
line[0] -= dxdy;
line[1] += dxdy;
SkIntersections rootTs;
rootTs.allowNear(false);
int roots = rootTs.intersect(q1, line);
if (roots == 0) {
if (subDivide) {
*subDivide = true;
}
return true;
}
if (roots == 2) {
return false;
}
SkDPoint pt2 = q1.ptAtT(rootTs[0][0]);
if (!pt2.approximatelyEqualHalf(mid)) {
return false;
}
i->insertSwap(rootTs[0][0], tMid, pt2);
return true;
}
SkDPoint SkDQuad::subDivide(const SkDPoint& a, const SkDPoint& c, double t1, double t2) const {
SkASSERT(t1 != t2);
SkDPoint b;
SkDQuad sub = subDivide(t1, t2);
SkDLine b0 = {{a, sub[1] + (a - sub[0])}};
SkDLine b1 = {{c, sub[1] + (c - sub[2])}};
SkIntersections i;
i.intersectRay(b0, b1);
if (i.used() == 1 && i[0][0] >= 0 && i[1][0] >= 0) {
b = i.pt(0);
} else {
SkASSERT(i.used() <= 2);
b = SkDPoint::Mid(b0[1], b1[1]);
}
if (t1 == 0 || t2 == 0) {
align(0, &b);
}
if (t1 == 1 || t2 == 1) {
align(2, &b);
}
if (AlmostBequalUlps(b.fX, a.fX)) {
b.fX = a.fX;
} else if (AlmostBequalUlps(b.fX, c.fX)) {
b.fX = c.fX;
}
if (AlmostBequalUlps(b.fY, a.fY)) {
b.fY = a.fY;
} else if (AlmostBequalUlps(b.fY, c.fY)) {
b.fY = c.fY;
}
return b;
}
static void PathOpsCubicLineIntersectionTest(skiatest::Reporter* reporter) {
for (size_t index = 0; index < lineCubicTests_count; ++index) {
int iIndex = static_cast<int>(index);
const SkDCubic& cubic = lineCubicTests[index].cubic;
const SkDLine& line = lineCubicTests[index].line;
SkReduceOrder reduce1;
SkReduceOrder reduce2;
int order1 = reduce1.reduce(cubic, SkReduceOrder::kNo_Quadratics,
SkReduceOrder::kFill_Style);
int order2 = reduce2.reduce(line);
if (order1 < 4) {
SkDebugf("[%d] cubic order=%d\n", iIndex, order1);
REPORTER_ASSERT(reporter, 0);
}
if (order2 < 2) {
SkDebugf("[%d] line order=%d\n", iIndex, order2);
REPORTER_ASSERT(reporter, 0);
}
if (order1 == 4 && order2 == 2) {
SkIntersections i;
int roots = i.intersect(cubic, line);
for (int pt = 0; pt < roots; ++pt) {
double tt1 = i[0][pt];
SkDPoint xy1 = cubic.xyAtT(tt1);
double tt2 = i[1][pt];
SkDPoint xy2 = line.xyAtT(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));
}
}
}
}
static void selfOneOff(skiatest::Reporter* reporter, int index) {
const CubicPts& cubic = selfSet[index];
SkPoint c[4];
for (int i = 0; i < 4; ++i) {
c[i] = cubic.fPts[i].asSkPoint();
}
SkScalar loopT;
SkScalar d[3];
SkCubicType cubicType = SkClassifyCubic(c, d);
if (SkDCubic::ComplexBreak(c, &loopT) && cubicType == SkCubicType::kLoop_SkCubicType) {
SkIntersections i;
SkPoint twoCubics[7];
SkChopCubicAt(c, twoCubics, loopT);
SkDCubic chopped[2];
chopped[0].set(&twoCubics[0]);
chopped[1].set(&twoCubics[3]);
int result = i.intersect(chopped[0], chopped[1]);
REPORTER_ASSERT(reporter, result == 2);
REPORTER_ASSERT(reporter, i.used() == 2);
for (int index = 0; index < result; ++index) {
SkDPoint pt1 = chopped[0].ptAtT(i[0][index]);
SkDPoint pt2 = chopped[1].ptAtT(i[1][index]);
REPORTER_ASSERT(reporter, pt1.approximatelyEqual(pt2));
reporter->bumpTestCount();
}
}
}
// intersect the end of the cubic with the other. Try lines from the end to control and opposite
// end to determine range of t on opposite cubic.
bool SkIntersections::cubicExactEnd(const SkDCubic& cubic1, bool start, const SkDCubic& cubic2) {
int t1Index = start ? 0 : 3;
double testT = (double) !start;
bool swap = swapped();
// quad/quad at this point checks to see if exact matches have already been found
// cubic/cubic can't reject so easily since cubics can intersect same point more than once
SkDLine tmpLine;
tmpLine[0] = tmpLine[1] = cubic2[t1Index];
tmpLine[1].fX += cubic2[2 - start].fY - cubic2[t1Index].fY;
tmpLine[1].fY -= cubic2[2 - start].fX - cubic2[t1Index].fX;
SkIntersections impTs;
impTs.allowNear(false);
impTs.intersectRay(cubic1, tmpLine);
for (int index = 0; index < impTs.used(); ++index) {
SkDPoint realPt = impTs.pt(index);
if (!tmpLine[0].approximatelyEqual(realPt)) {
continue;
}
if (swap) {
cubicInsert(testT, impTs[0][index], tmpLine[0], cubic2, cubic1);
} else {
cubicInsert(impTs[0][index], testT, tmpLine[0], cubic1, cubic2);
}
return true;
}
return false;
}
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);
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));
}
reporter->bumpTestCount();
}
static void oneOff(skiatest::Reporter* reporter, const SkDCubic& cubic1, const SkDCubic& cubic2,
bool coin) {
SkASSERT(ValidCubic(cubic1));
SkASSERT(ValidCubic(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
SkTArray<SkDQuad, true> 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
SkTArray<SkDQuad, true> 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);
REPORTER_ASSERT(reporter, !coin || intersections.used() == 2);
double tt1, tt2;
SkDPoint xy1, xy2;
for (int pt3 = 0; pt3 < intersections.used(); ++pt3) {
tt1 = intersections[0][pt3];
xy1 = cubic1.ptAtT(tt1);
tt2 = intersections[1][pt3];
xy2 = cubic2.ptAtT(tt2);
const SkDPoint& iPt = intersections.pt(pt3);
#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, iPt.fX,
iPt.fY, xy2.fX, xy2.fY, tt2);
#endif
REPORTER_ASSERT(reporter, xy1.approximatelyEqual(iPt));
REPORTER_ASSERT(reporter, xy2.approximatelyEqual(iPt));
REPORTER_ASSERT(reporter, xy1.approximatelyEqual(xy2));
}
reporter->bumpTestCount();
}
static void standardTestCases(skiatest::Reporter* reporter) {
for (size_t index = firstCubicIntersectionTest; index < tests_count; ++index) {
int iIndex = static_cast<int>(index);
const CubicPts& cubic1 = tests[index][0];
const CubicPts& cubic2 = tests[index][1];
SkDCubic c1, c2;
c1.debugSet(cubic1.fPts);
c2.debugSet(cubic2.fPts);
SkReduceOrder reduce1, reduce2;
int order1 = reduce1.reduce(c1, SkReduceOrder::kNo_Quadratics);
int order2 = reduce2.reduce(c2, SkReduceOrder::kNo_Quadratics);
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(c1, c2);
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 = c1.ptAtT(tt1);
double tt2 = tIntersections[1][pt];
SkDPoint xy2 = c2.ptAtT(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));
}
reporter->bumpTestCount();
}
}
void SkOpContour::addPartialCoincident(int index, SkOpContour* other, int otherIndex,
const SkIntersections& ts, int ptIndex, bool swap) {
SkCoincidence& coincidence = fPartialCoincidences.push_back();
coincidence.fOther = other;
coincidence.fSegments[0] = index;
coincidence.fSegments[1] = otherIndex;
coincidence.fTs[swap][0] = ts[0][index];
coincidence.fTs[swap][1] = ts[0][index + 1];
coincidence.fTs[!swap][0] = ts[1][index];
coincidence.fTs[!swap][1] = ts[1][index + 1];
coincidence.fPts[0] = ts.pt(index).asSkPoint();
coincidence.fPts[1] = ts.pt(index + 1).asSkPoint();
}
static void check_results(skiatest::Reporter* reporter, const SkDLine& line1, const SkDLine& line2,
const SkIntersections& ts) {
for (int i = 0; i < ts.used(); ++i) {
SkDPoint result1 = line1.ptAtT(ts[0][i]);
SkDPoint result2 = line2.ptAtT(ts[1][i]);
if (!result1.approximatelyEqual(result2)) {
REPORTER_ASSERT(reporter, ts.used() != 1);
result2 = line2.ptAtT(ts[1][i ^ 1]);
REPORTER_ASSERT(reporter, result1.approximatelyEqual(result2));
REPORTER_ASSERT(reporter, result1.approximatelyEqual(ts.pt(i).asSkPoint()));
}
}
}
static void intersectWithOrder(const SkDQuad& simple1, int order1, const SkDQuad& simple2,
int order2, SkIntersections& i) {
if (order1 == 3 && order2 == 3) {
i.intersect(simple1, simple2);
} else if (order1 <= 2 && order2 <= 2) {
i.intersect((const SkDLine&) simple1, (const SkDLine&) simple2);
} else if (order1 == 3 && order2 <= 2) {
i.intersect(simple1, (const SkDLine&) simple2);
} else {
SkASSERT(order1 <= 2 && order2 == 3);
i.intersect(simple2, (const SkDLine&) simple1);
i.swapPts();
}
}
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 double testArc(skiatest::Reporter* reporter, const SkDQuad& quad, const SkDQuad& arcRef,
int octant) {
SkDQuad arc = arcRef;
SkDVector offset = {quad[0].fX, quad[0].fY};
arc[0] += offset;
arc[1] += offset;
arc[2] += offset;
SkIntersections i;
i.intersect(arc, quad);
if (i.used() == 0) {
return -1;
}
int smallest = -1;
double t = 2;
for (int idx = 0; idx < i.used(); ++idx) {
if (i[0][idx] > 1 || i[0][idx] < 0) {
i.reset();
i.intersect(arc, quad);
}
if (i[1][idx] > 1 || i[1][idx] < 0) {
i.reset();
i.intersect(arc, quad);
}
if (t > i[1][idx]) {
smallest = idx;
t = i[1][idx];
}
}
REPORTER_ASSERT(reporter, smallest >= 0);
REPORTER_ASSERT(reporter, t >= 0 && t <= 1);
return i[1][smallest];
}
DEF_TEST(PathOpsConicLineIntersection, reporter) {
for (size_t index = 0; index < lineConicTests_count; ++index) {
int iIndex = static_cast<int>(index);
const SkDConic& conic = lineConicTests[index].conic;
SkASSERT(ValidConic(conic));
const SkDLine& line = lineConicTests[index].line;
SkASSERT(ValidLine(line));
SkReduceOrder reducer;
SkPoint pts[3] = { conic.fPts.fPts[0].asSkPoint(), conic.fPts.fPts[1].asSkPoint(),
conic.fPts.fPts[2].asSkPoint() };
SkPoint reduced[3];
SkPath::Verb order1 = SkReduceOrder::Conic(pts, conic.fWeight, reduced);
if (order1 != SkPath::kConic_Verb) {
SkDebugf("%s [%d] conic verb=%d\n", __FUNCTION__, iIndex, order1);
REPORTER_ASSERT(reporter, 0);
}
int order2 = reducer.reduce(line);
if (order2 < 2) {
SkDebugf("%s [%d] line order=%d\n", __FUNCTION__, iIndex, order2);
REPORTER_ASSERT(reporter, 0);
}
SkIntersections intersections;
bool flipped = false;
int result = doIntersect(intersections, conic, line, flipped);
REPORTER_ASSERT(reporter, result == lineConicTests[index].result);
if (intersections.used() <= 0) {
continue;
}
for (int pt = 0; pt < result; ++pt) {
double tt1 = intersections[0][pt];
REPORTER_ASSERT(reporter, tt1 >= 0 && tt1 <= 1);
SkDPoint t1 = conic.ptAtT(tt1);
double tt2 = intersections[1][pt];
REPORTER_ASSERT(reporter, tt2 >= 0 && tt2 <= 1);
SkDPoint t2 = line.ptAtT(tt2);
if (!t1.approximatelyEqual(t2)) {
SkDebugf("%s [%d,%d] x!= t1=%1.9g (%1.9g,%1.9g) t2=%1.9g (%1.9g,%1.9g)\n",
__FUNCTION__, iIndex, pt, tt1, t1.fX, t1.fY, tt2, t2.fX, t2.fY);
REPORTER_ASSERT(reporter, 0);
}
if (!t1.approximatelyEqual(lineConicTests[index].expected[0])
&& (lineConicTests[index].result == 1
|| !t1.approximatelyEqual(lineConicTests[index].expected[1]))) {
SkDebugf("%s t1=(%1.9g,%1.9g)\n", __FUNCTION__, t1.fX, t1.fY);
REPORTER_ASSERT(reporter, 0);
}
}
}
}
DEF_TEST(PathOpsQuadLineIntersection, reporter) {
for (size_t index = 0; index < lineQuadTests_count; ++index) {
int iIndex = static_cast<int>(index);
const QuadPts& q = lineQuadTests[index].quad;
SkDQuad quad;
quad.debugSet(q.fPts);
SkASSERT(ValidQuad(quad));
const SkDLine& line = lineQuadTests[index].line;
SkASSERT(ValidLine(line));
SkReduceOrder reducer1, reducer2;
int order1 = reducer1.reduce(quad);
int order2 = reducer2.reduce(line);
if (order1 < 3) {
SkDebugf("%s [%d] quad order=%d\n", __FUNCTION__, iIndex, order1);
REPORTER_ASSERT(reporter, 0);
}
if (order2 < 2) {
SkDebugf("%s [%d] line order=%d\n", __FUNCTION__, iIndex, order2);
REPORTER_ASSERT(reporter, 0);
}
SkIntersections intersections;
bool flipped = false;
int result = doIntersect(intersections, quad, line, flipped);
REPORTER_ASSERT(reporter, result == lineQuadTests[index].result);
if (intersections.used() <= 0) {
continue;
}
for (int pt = 0; pt < result; ++pt) {
double tt1 = intersections[0][pt];
REPORTER_ASSERT(reporter, tt1 >= 0 && tt1 <= 1);
SkDPoint t1 = quad.ptAtT(tt1);
double tt2 = intersections[1][pt];
REPORTER_ASSERT(reporter, tt2 >= 0 && tt2 <= 1);
SkDPoint t2 = line.ptAtT(tt2);
if (!t1.approximatelyEqual(t2)) {
SkDebugf("%s [%d,%d] x!= t1=%1.9g (%1.9g,%1.9g) t2=%1.9g (%1.9g,%1.9g)\n",
__FUNCTION__, iIndex, pt, tt1, t1.fX, t1.fY, tt2, t2.fX, t2.fY);
REPORTER_ASSERT(reporter, 0);
}
if (!t1.approximatelyEqual(lineQuadTests[index].expected[0])
&& (lineQuadTests[index].result == 1
|| !t1.approximatelyEqual(lineQuadTests[index].expected[1]))) {
SkDebugf("%s t1=(%1.9g,%1.9g)\n", __FUNCTION__, t1.fX, t1.fY);
REPORTER_ASSERT(reporter, 0);
}
}
}
}
static bool closeEnd(const SkDCubic& cubic, int cubicIndex, SkIntersections& i, SkDPoint& pt) {
int last = i.used() - 1;
if (i[cubicIndex][last] != 1 || i[cubicIndex][last - 1] < 1 - CLOSE_ENOUGH) {
return false;
}
pt = cubic.xyAtT((i[cubicIndex][last] + i[cubicIndex][last - 1]) / 2);
return true;
}
static void testOneCoincident(skiatest::Reporter* reporter, const SkDLine& line1,
const SkDLine& line2) {
SkASSERT(ValidLine(line1));
SkASSERT(ValidLine(line2));
SkIntersections ts2;
int pts2 = ts2.intersect(line1, line2);
REPORTER_ASSERT(reporter, pts2 == 2);
REPORTER_ASSERT(reporter, pts2 == ts2.used());
check_results(reporter, line1, line2, ts2);
#if 0
SkIntersections ts;
int pts = ts.intersect(line1, line2);
REPORTER_ASSERT(reporter, pts == pts2);
REPORTER_ASSERT(reporter, pts == 2);
REPORTER_ASSERT(reporter, pts == ts.used());
check_results(reporter, line1, line2, ts);
#endif
}
static void PathOpsCubicQuadIntersectionTest(skiatest::Reporter* reporter) {
for (size_t index = 0; index < quadCubicTests_count; ++index) {
int iIndex = static_cast<int>(index);
const SkDCubic& cubic = quadCubicTests[index].cubic;
const SkDQuad& quad = quadCubicTests[index].quad;
SkReduceOrder reduce1;
SkReduceOrder reduce2;
int order1 = reduce1.reduce(cubic, SkReduceOrder::kNo_Quadratics,
SkReduceOrder::kFill_Style);
int order2 = reduce2.reduce(quad, SkReduceOrder::kFill_Style);
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.xyAtT(tt1);
double tt2 = i[1][pt];
SkDPoint xy2 = quad.xyAtT(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);
}
REPORTER_ASSERT(reporter, found);
}
reporter->bumpTestCount();
}
}
static void lookNearEnd(const SkDQuad& q1, const SkDQuad& q2, int testT,
const SkIntersections& orig, bool swap, SkIntersections* i) {
if (orig.used() == 1 && orig[!swap][0] == testT) {
return;
}
if (orig.used() == 2 && orig[!swap][1] == testT) {
return;
}
SkDLine tmpLine;
int testTIndex = testT << 1;
tmpLine[0] = tmpLine[1] = q2[testTIndex];
tmpLine[1].fX += q2[1].fY - q2[testTIndex].fY;
tmpLine[1].fY -= q2[1].fX - q2[testTIndex].fX;
SkIntersections impTs;
impTs.intersectRay(q1, tmpLine);
for (int index = 0; index < impTs.used(); ++index) {
SkDPoint realPt = impTs.pt(index);
if (!tmpLine[0].approximatelyEqualHalf(realPt)) {
continue;
}
if (swap) {
i->insert(testT, impTs[0][index], tmpLine[0]);
} else {
i->insert(impTs[0][index], testT, tmpLine[0]);
}
}
}
static void oneOff(skiatest::Reporter* reporter, const SkDConic& c1, const SkDConic& c2,
bool coin) {
#if DEBUG_VISUALIZE_CONICS
writeFrames();
#endif
chopBothWays(c1, 0.5, "c1");
chopBothWays(c2, 0.5, "c2");
#if DEBUG_VISUALIZE_CONICS
writeDPng(c1, "d1");
writeDPng(c2, "d2");
#endif
SkASSERT(ValidConic(c1));
SkASSERT(ValidConic(c2));
SkIntersections intersections;
intersections.intersect(c1, c2);
if (coin && intersections.used() != 2) {
SkDebugf("");
}
REPORTER_ASSERT(reporter, !coin || intersections.used() == 2);
double tt1, tt2;
SkDPoint xy1, xy2;
for (int pt3 = 0; pt3 < intersections.used(); ++pt3) {
tt1 = intersections[0][pt3];
xy1 = c1.ptAtT(tt1);
tt2 = intersections[1][pt3];
xy2 = c2.ptAtT(tt2);
const SkDPoint& iPt = intersections.pt(pt3);
REPORTER_ASSERT(reporter, xy1.approximatelyEqual(iPt));
REPORTER_ASSERT(reporter, xy2.approximatelyEqual(iPt));
REPORTER_ASSERT(reporter, xy1.approximatelyEqual(xy2));
}
reporter->bumpTestCount();
}
SkDPoint SkDQuad::subDivide(const SkDPoint& a, const SkDPoint& c, double t1, double t2) const {
SkASSERT(t1 != t2);
SkDPoint b;
#if 0
// this approach assumes that the control point computed directly is accurate enough
double dx = interp_quad_coords(&fPts[0].fX, (t1 + t2) / 2);
double dy = interp_quad_coords(&fPts[0].fY, (t1 + t2) / 2);
b.fX = 2 * dx - (a.fX + c.fX) / 2;
b.fY = 2 * dy - (a.fY + c.fY) / 2;
#else
SkDQuad sub = subDivide(t1, t2);
SkDLine b0 = {{a, sub[1] + (a - sub[0])}};
SkDLine b1 = {{c, sub[1] + (c - sub[2])}};
SkIntersections i;
i.intersectRay(b0, b1);
if (i.used() == 1 && i[0][0] >= 0 && i[1][0] >= 0) {
b = i.pt(0);
} else {
SkASSERT(i.used() <= 2);
b = SkDPoint::Mid(b0[1], b1[1]);
}
#endif
if (t1 == 0 || t2 == 0) {
align(0, &b);
}
if (t1 == 1 || t2 == 1) {
align(2, &b);
}
if (AlmostBequalUlps(b.fX, a.fX)) {
b.fX = a.fX;
} else if (AlmostBequalUlps(b.fX, c.fX)) {
b.fX = c.fX;
}
if (AlmostBequalUlps(b.fY, a.fY)) {
b.fY = a.fY;
} else if (AlmostBequalUlps(b.fY, c.fY)) {
b.fY = c.fY;
}
return b;
}
static void standardTestCases(skiatest::Reporter* reporter) {
bool showSkipped = false;
for (size_t index = 0; index < quadraticTests_count; ++index) {
const SkDQuad& quad1 = quadraticTests[index][0];
SkASSERT(ValidQuad(quad1));
const SkDQuad& quad2 = quadraticTests[index][1];
SkASSERT(ValidQuad(quad2));
SkReduceOrder reduce1, reduce2;
int order1 = reduce1.reduce(quad1);
int order2 = reduce2.reduce(quad2);
if (order1 < 3) {
if (showSkipped) {
SkDebugf("[%d] quad1 order=%d\n", static_cast<int>(index), order1);
}
}
if (order2 < 3) {
if (showSkipped) {
SkDebugf("[%d] quad2 order=%d\n", static_cast<int>(index), order2);
}
}
if (order1 == 3 && order2 == 3) {
SkIntersections intersections;
intersections.intersect(quad1, quad2);
if (intersections.used() > 0) {
for (int pt = 0; pt < intersections.used(); ++pt) {
double tt1 = intersections[0][pt];
SkDPoint xy1 = quad1.ptAtT(tt1);
double tt2 = intersections[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>(index), pt, tt1, xy1.fX, xy1.fY,
tt2, xy2.fX, xy2.fY);
REPORTER_ASSERT(reporter, 0);
}
}
}
}
}
}
static void debugShowCubicIntersection(int pts, const SkIntersectionHelper& wt,
const SkIntersections& i) {
SkASSERT(i.used() == pts);
if (!pts) {
SkDebugf("%s no self intersect " CUBIC_DEBUG_STR "\n", __FUNCTION__,
CUBIC_DEBUG_DATA(wt.pts()));
return;
}
SkDebugf("%s " T_DEBUG_STR(wtTs, 0) " " CUBIC_DEBUG_STR " " PT_DEBUG_STR, __FUNCTION__,
i[0][0], CUBIC_DEBUG_DATA(wt.pts()), PT_DEBUG_DATA(i, 0));
SkDebugf(" " T_DEBUG_STR(wtTs, 1), i[1][0]);
SkDebugf("\n");
}
