Index: src/pathops/SkDLineIntersection.cpp |
diff --git a/src/pathops/SkDLineIntersection.cpp b/src/pathops/SkDLineIntersection.cpp |
index 3b88b8870238ba63111d72084907d4de541dea93..faa7c1d3925bc647466828a7a97ccbce0907a1c7 100644 |
--- a/src/pathops/SkDLineIntersection.cpp |
+++ b/src/pathops/SkDLineIntersection.cpp |
@@ -75,47 +75,19 @@ int SkIntersections::intersectRay(const SkDLine& a, const SkDLine& b) { |
return computePoints(a, used); |
} |
-static bool checkEndPoint(double x, double y, const SkDLine& l, double* tPtr, int useX) { |
- if (!between(l[0].fX, x, l[1].fX) || !between(l[0].fY, y, l[1].fY)) { |
- return false; |
- } |
- double xLen = l[1].fX - l[0].fX; |
- double yLen = l[1].fY - l[0].fY; |
- if (useX < 0) { |
- useX = SkTAbs(xLen) > SkTAbs(yLen); |
- } |
- // OPTIMIZATION: do between test before divide |
- double t = useX ? (x - l[0].fX) / xLen : (y - l[0].fY) / yLen; |
- if (!between(0, t, 1)) { |
- return false; |
- } |
- double opp = useX ? (1 - t) * l[0].fY + t * l[1].fY : (1 - t) * l[0].fX + t * l[1].fX; |
- if (!AlmostEqualUlps(opp, useX ? y : x)) { |
- return false; |
- } |
- *tPtr = t; |
- return true; |
-} |
- |
// note that this only works if both lines are neither horizontal nor vertical |
int SkIntersections::intersect(const SkDLine& a, const SkDLine& b) { |
// see if end points intersect the opposite line |
double t; |
for (int iA = 0; iA < 2; ++iA) { |
- if (!checkEndPoint(a[iA].fX, a[iA].fY, b, &t, -1)) { |
- continue; |
+ if ((t = b.exactPoint(a[iA])) >= 0) { |
+ insert(iA, t, a[iA]); |
} |
- insert(iA, t, a[iA]); |
} |
for (int iB = 0; iB < 2; ++iB) { |
- if (!checkEndPoint(b[iB].fX, b[iB].fY, a, &t, -1)) { |
- continue; |
+ if ((t = a.exactPoint(b[iB])) >= 0) { |
+ insert(t, iB, b[iB]); |
} |
- insert(t, iB, b[iB]); |
- } |
- if (used() > 0) { |
- SkASSERT(fUsed <= 2); |
- return used(); // coincident lines are returned here |
} |
/* Determine the intersection point of two line segments |
Return FALSE if the lines don't intersect |
@@ -131,166 +103,198 @@ int SkIntersections::intersect(const SkDLine& a, const SkDLine& b) { |
byLen * axLen - ayLen * bxLen == 0 ( == denom ) |
*/ |
double denom = byLen * axLen - ayLen * bxLen; |
- double ab0y = a[0].fY - b[0].fY; |
- double ab0x = a[0].fX - b[0].fX; |
- double numerA = ab0y * bxLen - byLen * ab0x; |
- double numerB = ab0y * axLen - ayLen * ab0x; |
- bool mayNotOverlap = (numerA < 0 && denom > numerA) || (numerA > 0 && denom < numerA) |
- || (numerB < 0 && denom > numerB) || (numerB > 0 && denom < numerB); |
- numerA /= denom; |
- numerB /= denom; |
- if ((!approximately_zero(denom) || (!approximately_zero_inverse(numerA) |
- && !approximately_zero_inverse(numerB))) && !sk_double_isnan(numerA) |
- && !sk_double_isnan(numerB)) { |
- if (mayNotOverlap) { |
- return 0; |
+ if (0 != denom) { |
+ double ab0y = a[0].fY - b[0].fY; |
+ double ab0x = a[0].fX - b[0].fX; |
+ double numerA = ab0y * bxLen - byLen * ab0x; |
+ double numerB = ab0y * axLen - ayLen * ab0x; |
+ if (between(0, numerA, denom) && between(0, numerB, denom)) { |
+ fT[0][0] = numerA / denom; |
+ fT[1][0] = numerB / denom; |
+ return computePoints(a, 1); |
} |
- fT[0][0] = numerA; |
- fT[1][0] = numerB; |
- fPt[0] = a.xyAtT(numerA); |
- return computePoints(a, 1); |
} |
- return 0; |
+ if (fAllowNear || 0 == denom) { |
+ for (int iA = 0; iA < 2; ++iA) { |
+ if ((t = b.nearPoint(a[iA])) >= 0) { |
+ insert(iA, t, a[iA]); |
+ } |
+ } |
+ for (int iB = 0; iB < 2; ++iB) { |
+ if ((t = a.nearPoint(b[iB])) >= 0) { |
+ insert(t, iB, b[iB]); |
+ } |
+ } |
+ } |
+ return fUsed; |
} |
-int SkIntersections::horizontal(const SkDLine& line, double y) { |
+static int horizontal_coincident(const SkDLine& line, double y) { |
double min = line[0].fY; |
double max = line[1].fY; |
if (min > max) { |
SkTSwap(min, max); |
} |
if (min > y || max < y) { |
- return fUsed = 0; |
+ return 0; |
} |
if (AlmostEqualUlps(min, max) && max - min < fabs(line[0].fX - line[1].fX)) { |
- fT[0][0] = 0; |
- fT[0][1] = 1; |
- return fUsed = 2; |
+ return 2; |
} |
- fT[0][0] = (y - line[0].fY) / (line[1].fY - line[0].fY); |
- return fUsed = 1; |
+ return 1; |
} |
-static bool checkEndPointH(const SkDPoint& end, double left, double right, |
- double y, bool flipped, double* tPtr) { |
- if (!between(left, end.fX, right) || !AlmostEqualUlps(y, end.fY)) { |
- return false; |
+static double horizontal_intercept(const SkDLine& line, double y) { |
+ return (y - line[0].fY) / (line[1].fY - line[0].fY); |
+} |
+ |
+int SkIntersections::horizontal(const SkDLine& line, double y) { |
+ int horizontalType = horizontal_coincident(line, y); |
+ if (horizontalType == 1) { |
+ fT[0][0] = horizontal_intercept(line, y); |
+ } else if (horizontalType == 2) { |
+ fT[0][0] = 0; |
+ fT[0][1] = 1; |
} |
- double t = (end.fX - left) / (right - left); |
- SkASSERT(between(0, t, 1)); |
- *tPtr = flipped ? 1 - t : t; |
- return true; |
+ return fUsed = horizontalType; |
} |
int SkIntersections::horizontal(const SkDLine& line, double left, double right, |
double y, bool flipped) { |
// see if end points intersect the opposite line |
double t; |
- if (checkEndPoint(left, y, line, &t, true)) { |
- insert(t, flipped, left, y); |
+ const SkDPoint leftPt = { left, y }; |
+ if ((t = line.exactPoint(leftPt)) >= 0) { |
+ insert(t, (double) flipped, leftPt); |
} |
if (left != right) { |
- if (checkEndPoint(right, y, line, &t, true)) { |
- insert(t, !flipped, right, y); |
+ const SkDPoint rightPt = { right, y }; |
+ if ((t = line.exactPoint(rightPt)) >= 0) { |
+ insert(t, (double) !flipped, rightPt); |
} |
for (int index = 0; index < 2; ++index) { |
- if (!checkEndPointH(line[index], left, right, y, flipped, &t)) { |
- continue; |
+ if ((t = SkDLine::ExactPointH(line[index], left, right, y)) >= 0) { |
+ insert((double) index, flipped ? 1 - t : t, line[index]); |
} |
- insert(index, t, line[index]); |
} |
} |
- if (used() > 0) { |
- SkASSERT(fUsed <= 2); |
- return used(); // coincident lines are returned here |
+ int result = horizontal_coincident(line, y); |
+ if (result == 1 && fUsed == 0) { |
+ fT[0][0] = horizontal_intercept(line, y); |
+ double xIntercept = line[0].fX + fT[0][0] * (line[1].fX - line[0].fX); |
+ if (between(left, xIntercept, right)) { |
+ fT[1][0] = (xIntercept - left) / (right - left); |
+ if (flipped) { |
+ // OPTIMIZATION: ? instead of swapping, pass original line, use [1].fX - [0].fX |
+ for (int index = 0; index < result; ++index) { |
+ fT[1][index] = 1 - fT[1][index]; |
+ } |
+ } |
+ return computePoints(line, result); |
+ } |
} |
- int result = horizontal(line, y); |
- if (!result) { |
- return 0; |
+ if (!fAllowNear && result != 2) { |
+ return fUsed; |
} |
- SkASSERT(result == 1); |
- double xIntercept = line[0].fX + fT[0][0] * (line[1].fX - line[0].fX); |
- if (!precisely_between(left, xIntercept, right)) { |
- return fUsed = 0; |
+ if ((t = line.nearPoint(leftPt)) >= 0) { |
+ insert(t, (double) flipped, leftPt); |
} |
- fT[1][0] = (xIntercept - left) / (right - left); |
- if (flipped) { |
- // OPTIMIZATION: ? instead of swapping, pass original line, use [1].fX - [0].fX |
- for (int index = 0; index < result; ++index) { |
- fT[1][index] = 1 - fT[1][index]; |
+ if (left != right) { |
+ const SkDPoint rightPt = { right, y }; |
+ if ((t = line.nearPoint(rightPt)) >= 0) { |
+ insert(t, (double) !flipped, rightPt); |
+ } |
+ for (int index = 0; index < 2; ++index) { |
+ if ((t = SkDLine::NearPointH(line[index], left, right, y)) >= 0) { |
+ insert((double) index, flipped ? 1 - t : t, line[index]); |
+ } |
} |
} |
- return computePoints(line, result); |
+ return fUsed; |
} |
-int SkIntersections::vertical(const SkDLine& line, double x) { |
+static int vertical_coincident(const SkDLine& line, double x) { |
double min = line[0].fX; |
double max = line[1].fX; |
if (min > max) { |
SkTSwap(min, max); |
} |
if (!precisely_between(min, x, max)) { |
- return fUsed = 0; |
+ return 0; |
} |
if (AlmostEqualUlps(min, max)) { |
- fT[0][0] = 0; |
- fT[0][1] = 1; |
- return fUsed = 2; |
+ return 2; |
} |
- fT[0][0] = (x - line[0].fX) / (line[1].fX - line[0].fX); |
- return fUsed = 1; |
+ return 1; |
} |
-static bool checkEndPointV(const SkDPoint& end, double top, double bottom, |
- double x, bool flipped, double* tPtr) { |
- if (!between(top, end.fY, bottom) || !AlmostEqualUlps(x, end.fX)) { |
- return false; |
+static double vertical_intercept(const SkDLine& line, double x) { |
+ return (x - line[0].fX) / (line[1].fX - line[0].fX); |
+} |
+ |
+int SkIntersections::vertical(const SkDLine& line, double x) { |
+ int verticalType = vertical_coincident(line, x); |
+ if (verticalType == 1) { |
+ fT[0][0] = vertical_intercept(line, x); |
+ } else if (verticalType == 2) { |
+ fT[0][0] = 0; |
+ fT[0][1] = 1; |
} |
- double t = (end.fY - top) / (bottom - top); |
- SkASSERT(between(0, t, 1)); |
- *tPtr = flipped ? 1 - t : t; |
- return true; |
+ return fUsed = verticalType; |
} |
int SkIntersections::vertical(const SkDLine& line, double top, double bottom, |
- double x, bool flipped) { |
+ double x, bool flipped) { |
// see if end points intersect the opposite line |
double t; |
- if (checkEndPoint(x, top, line, &t, false)) { |
- insert(t, flipped, x, top); |
+ SkDPoint topPt = { x, top }; |
+ if ((t = line.exactPoint(topPt)) >= 0) { |
+ insert(t, (double) flipped, topPt); |
} |
if (top != bottom) { |
- if (checkEndPoint(x, bottom,line, &t, false)) { |
- insert(t, !flipped, x, bottom); |
+ SkDPoint bottomPt = { x, bottom }; |
+ if ((t = line.exactPoint(bottomPt)) >= 0) { |
+ insert(t, (double) !flipped, bottomPt); |
} |
for (int index = 0; index < 2; ++index) { |
- if (!checkEndPointV(line[index], top, bottom, x, flipped, &t)) { |
- continue; |
+ if ((t = SkDLine::ExactPointV(line[index], top, bottom, x)) >= 0) { |
+ insert((double) index, flipped ? 1 - t : t, line[index]); |
} |
- insert( index, t, line[index]); |
} |
} |
- if (used() > 0) { |
- SkASSERT(fUsed <= 2); |
- return used(); // coincident lines are returned here |
+ int result = vertical_coincident(line, x); |
+ if (result == 1 && fUsed == 0) { |
+ fT[0][0] = vertical_intercept(line, x); |
+ double yIntercept = line[0].fY + fT[0][0] * (line[1].fY - line[0].fY); |
+ if (between(top, yIntercept, bottom)) { |
+ fT[1][0] = (yIntercept - top) / (bottom - top); |
+ if (flipped) { |
+ // OPTIMIZATION: instead of swapping, pass original line, use [1].fY - [0].fY |
+ for (int index = 0; index < result; ++index) { |
+ fT[1][index] = 1 - fT[1][index]; |
+ } |
+ } |
+ return computePoints(line, result); |
+ } |
} |
- int result = vertical(line, x); |
- if (!result) { |
- return 0; |
+ if (!fAllowNear && result != 2) { |
+ return fUsed; |
} |
- SkASSERT(result == 1); |
- double yIntercept = line[0].fY + fT[0][0] * (line[1].fY - line[0].fY); |
- if (!precisely_between(top, yIntercept, bottom)) { |
- return fUsed = 0; |
+ if ((t = line.nearPoint(topPt)) >= 0) { |
+ insert(t, (double) flipped, topPt); |
} |
- fT[1][0] = (yIntercept - top) / (bottom - top); |
- if (flipped) { |
- // OPTIMIZATION: instead of swapping, pass original line, use [1].fY - [0].fY |
- for (int index = 0; index < result; ++index) { |
- fT[1][index] = 1 - fT[1][index]; |
+ if (top != bottom) { |
+ SkDPoint bottomPt = { x, bottom }; |
+ if ((t = line.nearPoint(bottomPt)) >= 0) { |
+ insert(t, (double) !flipped, bottomPt); |
+ } |
+ for (int index = 0; index < 2; ++index) { |
+ if ((t = SkDLine::NearPointV(line[index], top, bottom, x)) >= 0) { |
+ insert((double) index, flipped ? 1 - t : t, line[index]); |
+ } |
} |
} |
- return computePoints(line, result); |
+ return fUsed; |
} |
// from http://www.bryceboe.com/wordpress/wp-content/uploads/2006/10/intersect.py |