| 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) {
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| return computePoints(a, used);
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| }
|
|
|
| -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
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| double t;
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| for (int iA = 0; iA < 2; ++iA) {
|
| - if (!checkEndPoint(a[iA].fX, a[iA].fY, b, &t, -1)) {
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| - continue;
|
| + if ((t = b.exactPoint(a[iA])) >= 0) {
|
| + insert(iA, t, a[iA]);
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| }
|
| - insert(iA, t, a[iA]);
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| }
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| for (int iB = 0; iB < 2; ++iB) {
|
| - if (!checkEndPoint(b[iB].fX, b[iB].fY, a, &t, -1)) {
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| - continue;
|
| + if ((t = a.exactPoint(b[iB])) >= 0) {
|
| + insert(t, iB, b[iB]);
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| }
|
| - insert(t, iB, b[iB]);
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| - }
|
| - if (used() > 0) {
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| - SkASSERT(fUsed <= 2);
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| - return used(); // coincident lines are returned here
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| }
|
| /* Determine the intersection point of two line segments
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| Return FALSE if the lines don't intersect
|
| @@ -131,166 +103,198 @@ int SkIntersections::intersect(const SkDLine& a, const SkDLine& b) {
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| byLen * axLen - ayLen * bxLen == 0 ( == denom )
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| */
|
| 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;
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| - double numerB = ab0y * axLen - ayLen * ab0x;
|
| - bool mayNotOverlap = (numerA < 0 && denom > numerA) || (numerA > 0 && denom < numerA)
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| - || (numerB < 0 && denom > numerB) || (numerB > 0 && denom < numerB);
|
| - numerA /= denom;
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| - numerB /= denom;
|
| - if ((!approximately_zero(denom) || (!approximately_zero_inverse(numerA)
|
| - && !approximately_zero_inverse(numerB))) && !sk_double_isnan(numerA)
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| - && !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;
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| + double numerB = ab0y * axLen - ayLen * ab0x;
|
| + if (between(0, numerA, denom) && between(0, numerB, denom)) {
|
| + fT[0][0] = numerA / denom;
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| + fT[1][0] = numerB / denom;
|
| + return computePoints(a, 1);
|
| }
|
| - fT[0][0] = numerA;
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| - fT[1][0] = numerB;
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| - fPt[0] = a.xyAtT(numerA);
|
| - return computePoints(a, 1);
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| }
|
| - return 0;
|
| + if (fAllowNear || 0 == denom) {
|
| + for (int iA = 0; iA < 2; ++iA) {
|
| + if ((t = b.nearPoint(a[iA])) >= 0) {
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| + insert(iA, t, a[iA]);
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| + }
|
| + }
|
| + for (int iB = 0; iB < 2; ++iB) {
|
| + if ((t = a.nearPoint(b[iB])) >= 0) {
|
| + insert(t, iB, b[iB]);
|
| + }
|
| + }
|
| + }
|
| + return fUsed;
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| }
|
|
|
| -int SkIntersections::horizontal(const SkDLine& line, double y) {
|
| +static int horizontal_coincident(const SkDLine& line, double y) {
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| double min = line[0].fY;
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| double max = line[1].fY;
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| if (min > max) {
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| SkTSwap(min, max);
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| }
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| if (min > y || max < y) {
|
| - return fUsed = 0;
|
| + return 0;
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| }
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| if (AlmostEqualUlps(min, max) && max - min < fabs(line[0].fX - line[1].fX)) {
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| - fT[0][0] = 0;
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| - fT[0][1] = 1;
|
| - return fUsed = 2;
|
| + return 2;
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| }
|
| - fT[0][0] = (y - line[0].fY) / (line[1].fY - line[0].fY);
|
| - return fUsed = 1;
|
| + return 1;
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| }
|
|
|
| -static bool checkEndPointH(const SkDPoint& end, double left, double right,
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| - double y, bool flipped, double* tPtr) {
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| - 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));
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| - *tPtr = flipped ? 1 - t : t;
|
| - return true;
|
| + return fUsed = horizontalType;
|
| }
|
|
|
| int SkIntersections::horizontal(const SkDLine& line, double left, double right,
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| double y, bool flipped) {
|
| // see if end points intersect the opposite line
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| 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) {
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| + insert(t, (double) flipped, leftPt);
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| }
|
| if (left != right) {
|
| - if (checkEndPoint(right, y, line, &t, true)) {
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| - insert(t, !flipped, right, y);
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| + 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]);
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| }
|
| - 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);
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| }
|
| - 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) {
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| double min = line[0].fX;
|
| double max = line[1].fX;
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| if (min > max) {
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| SkTSwap(min, max);
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| }
|
| if (!precisely_between(min, x, max)) {
|
| - return fUsed = 0;
|
| + return 0;
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| }
|
| if (AlmostEqualUlps(min, max)) {
|
| - fT[0][0] = 0;
|
| - fT[0][1] = 1;
|
| - return fUsed = 2;
|
| + return 2;
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| }
|
| - 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,
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| - 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
|
|
|