void find_tight_bounds(const Cubic& cubic, _Rect& bounds) {
CubicPair cubicPair;
chop_at(cubic, cubicPair, 0.5);
if (!tiny(cubicPair.first()) && !controls_inside(cubicPair.first())) {
find_tight_bounds(cubicPair.first(), bounds);
} else {
bounds.add(cubicPair.first()[0]);
bounds.add(cubicPair.first()[3]);
}
if (!tiny(cubicPair.second()) && !controls_inside(cubicPair.second())) {
find_tight_bounds(cubicPair.second(), bounds);
} else {
bounds.add(cubicPair.second()[0]);
bounds.add(cubicPair.second()[3]);
}
}
void CubicReduceOrder_Test() {
size_t index;
Cubic reduce;
int order;
enum {
RunAll,
RunPointDegenerates,
RunNotPointDegenerates,
RunLines,
RunNotLines,
RunModEpsilonLines,
RunLessEpsilonLines,
RunNegEpsilonLines,
RunQuadraticLines,
RunQuadraticModLines,
RunComputedLines,
RunNone
} run = RunAll;
int firstTestIndex = 0;
#if 0
run = RunComputedLines;
firstTestIndex = 18;
#endif
int firstPointDegeneratesTest = run == RunAll ? 0 : run == RunPointDegenerates ? firstTestIndex : SK_MaxS32;
int firstNotPointDegeneratesTest = run == RunAll ? 0 : run == RunNotPointDegenerates ? firstTestIndex : SK_MaxS32;
int firstLinesTest = run == RunAll ? 0 : run == RunLines ? firstTestIndex : SK_MaxS32;
int firstNotLinesTest = run == RunAll ? 0 : run == RunNotLines ? firstTestIndex : SK_MaxS32;
int firstModEpsilonTest = run == RunAll ? 0 : run == RunModEpsilonLines ? firstTestIndex : SK_MaxS32;
int firstLessEpsilonTest = run == RunAll ? 0 : run == RunLessEpsilonLines ? firstTestIndex : SK_MaxS32;
int firstNegEpsilonTest = run == RunAll ? 0 : run == RunNegEpsilonLines ? firstTestIndex : SK_MaxS32;
int firstQuadraticLineTest = run == RunAll ? 0 : run == RunQuadraticLines ? firstTestIndex : SK_MaxS32;
int firstQuadraticModLineTest = run == RunAll ? 0 : run == RunQuadraticModLines ? firstTestIndex : SK_MaxS32;
int firstComputedLinesTest = run == RunAll ? 0 : run == RunComputedLines ? firstTestIndex : SK_MaxS32;
for (index = firstPointDegeneratesTest; index < pointDegenerates_count; ++index) {
const Cubic& cubic = pointDegenerates[index];
order = reduceOrder(cubic, reduce, kReduceOrder_QuadraticsAllowed,
kReduceOrder_TreatAsFill);
if (order != 1) {
SkDebugf("[%d] pointDegenerates order=%d\n", (int) index, order);
}
}
for (index = firstNotPointDegeneratesTest; index < notPointDegenerates_count; ++index) {
const Cubic& cubic = notPointDegenerates[index];
order = reduceOrder(cubic, reduce, kReduceOrder_QuadraticsAllowed,
kReduceOrder_TreatAsFill);
if (order == 1) {
SkDebugf("[%d] notPointDegenerates order=%d\n", (int) index, order);
}
}
for (index = firstLinesTest; index < lines_count; ++index) {
const Cubic& cubic = lines[index];
order = reduceOrder(cubic, reduce, kReduceOrder_QuadraticsAllowed,
kReduceOrder_TreatAsFill);
if (order != 2) {
SkDebugf("[%d] lines order=%d\n", (int) index, order);
}
}
for (index = firstNotLinesTest; index < notLines_count; ++index) {
const Cubic& cubic = notLines[index];
order = reduceOrder(cubic, reduce, kReduceOrder_QuadraticsAllowed,
kReduceOrder_TreatAsFill);
if (order == 2) {
SkDebugf("[%d] notLines order=%d\n", (int) index, order);
}
}
for (index = firstModEpsilonTest; index < modEpsilonLines_count; ++index) {
const Cubic& cubic = modEpsilonLines[index];
order = reduceOrder(cubic, reduce, kReduceOrder_QuadraticsAllowed,
kReduceOrder_TreatAsFill);
if (order == 2) {
SkDebugf("[%d] line mod by epsilon order=%d\n", (int) index, order);
}
}
for (index = firstLessEpsilonTest; index < lessEpsilonLines_count; ++index) {
const Cubic& cubic = lessEpsilonLines[index];
order = reduceOrder(cubic, reduce, kReduceOrder_QuadraticsAllowed,
kReduceOrder_TreatAsFill);
if (order != 2) {
SkDebugf("[%d] line less by epsilon/2 order=%d\n", (int) index, order);
}
}
for (index = firstNegEpsilonTest; index < negEpsilonLines_count; ++index) {
const Cubic& cubic = negEpsilonLines[index];
order = reduceOrder(cubic, reduce, kReduceOrder_QuadraticsAllowed,
kReduceOrder_TreatAsFill);
if (order != 2) {
SkDebugf("[%d] line neg by epsilon/2 order=%d\n", (int) index, order);
}
}
for (index = firstQuadraticLineTest; index < quadraticLines_count; ++index) {
const Quadratic& quad = quadraticLines[index];
Cubic cubic;
quad_to_cubic(quad, cubic);
order = reduceOrder(cubic, reduce, kReduceOrder_QuadraticsAllowed,
kReduceOrder_TreatAsFill);
if (order != 2) {
SkDebugf("[%d] line quad order=%d\n", (int) index, order);
}
}
for (index = firstQuadraticModLineTest; index < quadraticModEpsilonLines_count; ++index) {
const Quadratic& quad = quadraticModEpsilonLines[index];
Cubic cubic;
quad_to_cubic(quad, cubic);
order = reduceOrder(cubic, reduce, kReduceOrder_QuadraticsAllowed,
kReduceOrder_TreatAsFill);
if (order != 3) {
SkDebugf("[%d] line mod quad order=%d\n", (int) index, order);
}
}
// test if computed line end points are valid
for (index = firstComputedLinesTest; index < lines_count; ++index) {
const Cubic& cubic = lines[index];
bool controlsInside = controls_inside(cubic);
order = reduceOrder(cubic, reduce, kReduceOrder_QuadraticsAllowed,
kReduceOrder_TreatAsFill);
if (reduce[0].x == reduce[1].x && reduce[0].y == reduce[1].y) {
SkDebugf("[%d] line computed ends match order=%d\n", (int) index, order);
}
if (controlsInside) {
if ( (reduce[0].x != cubic[0].x && reduce[0].x != cubic[3].x)
|| (reduce[0].y != cubic[0].y && reduce[0].y != cubic[3].y)
|| (reduce[1].x != cubic[0].x && reduce[1].x != cubic[3].x)
|| (reduce[1].y != cubic[0].y && reduce[1].y != cubic[3].y)) {
SkDebugf("[%d] line computed ends order=%d\n", (int) index, order);
}
} else {
// binary search for extrema, compare against actual results
// while a control point is outside of bounding box formed by end points, split
_Rect bounds = {DBL_MAX, DBL_MAX, -DBL_MAX, -DBL_MAX};
find_tight_bounds(cubic, bounds);
if ( (!AlmostEqualUlps(reduce[0].x, bounds.left) && !AlmostEqualUlps(reduce[0].x, bounds.right))
|| (!AlmostEqualUlps(reduce[0].y, bounds.top) && !AlmostEqualUlps(reduce[0].y, bounds.bottom))
|| (!AlmostEqualUlps(reduce[1].x, bounds.left) && !AlmostEqualUlps(reduce[1].x, bounds.right))
|| (!AlmostEqualUlps(reduce[1].y, bounds.top) && !AlmostEqualUlps(reduce[1].y, bounds.bottom))) {
SkDebugf("[%d] line computed tight bounds order=%d\n", (int) index, order);
}
}
}
}
