Merge "Update VectorDrawables to use Skia's drawArc implementation."
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Android (Google) Code Review
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a232b53975
@@ -85,32 +85,8 @@ const static TestData sTestDataSet[] = {
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outPath->rCubicTo(8.0, 8.0, 8.0, 8.0, 8.0, 8.0);
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outPath->cubicTo(16.0, 16.0, 9.0, 9.0, 9.0, 9.0);
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outPath->rCubicTo(0.0, 0.0, 9.0, 9.0, 9.0, 9.0);
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outPath->cubicTo(18.447775037328352, 20.404243860300607, 17.998389141249767,
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22.8911717921705, 16.737515350332117, 24.986664170401575);
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outPath->cubicTo(15.476641559414468, 27.08215654863265, 13.489843598291483,
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28.644011882390082, 11.155893964798905, 29.37447073281729);
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outPath->cubicTo(8.821944331306327, 30.1049295832445, 6.299226382436471,
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29.954422532383525, 4.0686829203897235, 28.951642951534332);
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outPath->cubicTo(1.838139458342976, 27.94886337068514, 0.05113662931485696,
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26.161860541657013, -0.9516429515343354, 23.931317079610267);
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outPath->cubicTo(-1.9544225323835278, 21.70077361756352, -2.1049295832444987,
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19.178055668693663, -1.37447073281729, 16.844106035201087);
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outPath->cubicTo(-0.6440118823900814, 14.51015640170851, 0.9178434513673546,
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12.523358440585524, 3.0133358295984305, 11.262484649667876);
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outPath->cubicTo(5.108828207829506, 10.001610858750228, 7.5957561396993984,
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9.552224962671648, 10.000000000000005, 10.0);
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outPath->cubicTo(10.0, 7.348852265086975, 11.054287646850167, 4.803576729418881,
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12.928932188134523, 2.9289321881345254);
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outPath->cubicTo(14.803576729418879, 1.0542876468501696, 17.348852265086972,
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4.870079381441987E-16, 19.999999999999996, 0.0);
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outPath->cubicTo(22.65114773491302, -4.870079381441987E-16, 25.19642327058112,
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1.0542876468501678, 27.071067811865476, 2.9289321881345227);
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outPath->cubicTo(28.94571235314983, 4.803576729418878, 30.0, 7.348852265086974, 30.0,
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9.999999999999998);
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outPath->cubicTo(30.0, 12.651147734913023, 28.94571235314983, 15.19642327058112,
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27.071067811865476, 17.071067811865476);
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outPath->cubicTo(25.19642327058112, 18.94571235314983, 22.651147734913028, 20.0,
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20.000000000000004, 20.0);
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outPath->arcTo(10.0, 10.0, 0.0, SkPath::kLarge_ArcSize, SkPath::kCW_Direction, 10.0, 10.0);
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outPath->arcTo(10.0, 10.0, 0.0, SkPath::kLarge_ArcSize, SkPath::kCW_Direction, 20.0, 20.0);
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}},
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// Check box VectorDrawable path data
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@@ -181,22 +157,7 @@ const static TestData sTestDataSet[] = {
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},
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[](SkPath* outPath) {
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outPath->moveTo(300.0, 70.0);
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outPath->cubicTo(239.06697794203706, 70.13246340443499, 180.6164396449267,
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94.47383115953485, 137.6004913602211, 137.6302781499585);
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outPath->cubicTo(94.58454307551551, 180.78672514038215, 70.43390412842275,
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239.3163266242308, 70.50013586976587, 300.2494566687817);
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outPath->cubicTo(70.56636761110899, 361.1825867133326, 94.84418775550249,
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419.65954850554147, 137.9538527586204, 462.72238058830936);
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outPath->cubicTo(181.06351776173827, 505.7852126710772, 239.5668339599056,
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529.999456521097, 300.49999999999994, 529.999456521097);
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outPath->cubicTo(361.43316604009436, 529.999456521097, 419.93648223826176,
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505.78521267107726, 463.0461472413797, 462.7223805883093);
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outPath->cubicTo(506.1558122444976, 419.65954850554135, 530.433632388891,
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361.1825867133324, 530.4998641302341, 300.2494566687815);
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outPath->cubicTo(530.5660958715771, 239.31632662423056, 506.4154569244844,
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180.7867251403819, 463.3995086397787, 137.6302781499583);
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outPath->cubicTo(420.383560355073, 94.47383115953468, 361.93302205796255,
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70.13246340443492, 300.9999999999996, 70.00000000000003);
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outPath->arcTo(230.0, 230.0, 0.0, SkPath::kLarge_ArcSize, SkPath::kCCW_Direction, 301.0, 70.0);
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outPath->close();
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outPath->moveTo(300.0, 70.0);
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}},
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@@ -96,132 +96,6 @@ void VectorDrawableUtils::interpolatePaths(PathData* outData, const PathData& fr
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}
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}
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/**
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* Converts an arc to cubic Bezier segments and records them in p.
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*
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* @param p The target for the cubic Bezier segments
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* @param cx The x coordinate center of the ellipse
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* @param cy The y coordinate center of the ellipse
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* @param a The radius of the ellipse in the horizontal direction
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* @param b The radius of the ellipse in the vertical direction
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* @param e1x E(eta1) x coordinate of the starting point of the arc
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* @param e1y E(eta2) y coordinate of the starting point of the arc
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* @param theta The angle that the ellipse bounding rectangle makes with horizontal plane
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* @param start The start angle of the arc on the ellipse
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* @param sweep The angle (positive or negative) of the sweep of the arc on the ellipse
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*/
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static void arcToBezier(SkPath* p, double cx, double cy, double a, double b, double e1x, double e1y,
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double theta, double start, double sweep) {
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// Taken from equations at: http://spaceroots.org/documents/ellipse/node8.html
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// and http://www.spaceroots.org/documents/ellipse/node22.html
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// Maximum of 45 degrees per cubic Bezier segment
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int numSegments = ceil(fabs(sweep * 4 / M_PI));
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double eta1 = start;
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double cosTheta = cos(theta);
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double sinTheta = sin(theta);
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double cosEta1 = cos(eta1);
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double sinEta1 = sin(eta1);
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double ep1x = (-a * cosTheta * sinEta1) - (b * sinTheta * cosEta1);
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double ep1y = (-a * sinTheta * sinEta1) + (b * cosTheta * cosEta1);
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double anglePerSegment = sweep / numSegments;
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for (int i = 0; i < numSegments; i++) {
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double eta2 = eta1 + anglePerSegment;
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double sinEta2 = sin(eta2);
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double cosEta2 = cos(eta2);
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double e2x = cx + (a * cosTheta * cosEta2) - (b * sinTheta * sinEta2);
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double e2y = cy + (a * sinTheta * cosEta2) + (b * cosTheta * sinEta2);
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double ep2x = -a * cosTheta * sinEta2 - b * sinTheta * cosEta2;
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double ep2y = -a * sinTheta * sinEta2 + b * cosTheta * cosEta2;
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double tanDiff2 = tan((eta2 - eta1) / 2);
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double alpha = sin(eta2 - eta1) * (sqrt(4 + (3 * tanDiff2 * tanDiff2)) - 1) / 3;
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double q1x = e1x + alpha * ep1x;
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double q1y = e1y + alpha * ep1y;
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double q2x = e2x - alpha * ep2x;
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double q2y = e2y - alpha * ep2y;
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p->cubicTo((float)q1x, (float)q1y, (float)q2x, (float)q2y, (float)e2x, (float)e2y);
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eta1 = eta2;
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e1x = e2x;
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e1y = e2y;
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ep1x = ep2x;
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ep1y = ep2y;
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}
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}
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inline double toRadians(float theta) {
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return theta * M_PI / 180;
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}
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static void drawArc(SkPath* p, float x0, float y0, float x1, float y1, float a, float b,
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float theta, bool isMoreThanHalf, bool isPositiveArc) {
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/* Convert rotation angle from degrees to radians */
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double thetaD = toRadians(theta);
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/* Pre-compute rotation matrix entries */
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double cosTheta = cos(thetaD);
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double sinTheta = sin(thetaD);
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/* Transform (x0, y0) and (x1, y1) into unit space */
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/* using (inverse) rotation, followed by (inverse) scale */
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double x0p = (x0 * cosTheta + y0 * sinTheta) / a;
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double y0p = (-x0 * sinTheta + y0 * cosTheta) / b;
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double x1p = (x1 * cosTheta + y1 * sinTheta) / a;
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double y1p = (-x1 * sinTheta + y1 * cosTheta) / b;
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/* Compute differences and averages */
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double dx = x0p - x1p;
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double dy = y0p - y1p;
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double xm = (x0p + x1p) / 2;
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double ym = (y0p + y1p) / 2;
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/* Solve for intersecting unit circles */
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double dsq = dx * dx + dy * dy;
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if (dsq == 0.0) {
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VECTOR_DRAWABLE_LOGD("Points are coincident");
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return; /* Points are coincident */
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}
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double disc = 1.0 / dsq - 1.0 / 4.0;
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if (disc < 0.0) {
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VECTOR_DRAWABLE_LOGD("Points are too far apart %f", dsq);
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float adjust = (float)(sqrt(dsq) / 1.99999);
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drawArc(p, x0, y0, x1, y1, a * adjust, b * adjust, theta, isMoreThanHalf, isPositiveArc);
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return; /* Points are too far apart */
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}
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double s = sqrt(disc);
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double sdx = s * dx;
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double sdy = s * dy;
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double cx;
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double cy;
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if (isMoreThanHalf == isPositiveArc) {
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cx = xm - sdy;
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cy = ym + sdx;
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} else {
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cx = xm + sdy;
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cy = ym - sdx;
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}
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double eta0 = atan2((y0p - cy), (x0p - cx));
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double eta1 = atan2((y1p - cy), (x1p - cx));
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double sweep = (eta1 - eta0);
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if (isPositiveArc != (sweep >= 0)) {
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if (sweep > 0) {
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sweep -= 2 * M_PI;
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} else {
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sweep += 2 * M_PI;
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}
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}
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cx *= a;
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cy *= b;
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double tcx = cx;
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cx = cx * cosTheta - cy * sinTheta;
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cy = tcx * sinTheta + cy * cosTheta;
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arcToBezier(p, cx, cy, a, b, x0, y0, thetaD, eta0, sweep);
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}
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// Use the given verb, and points in the range [start, end) to insert a command into the SkPath.
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void PathResolver::addCommand(SkPath* outPath, char previousCmd, char cmd,
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const std::vector<float>* points, size_t start, size_t end) {
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@@ -424,18 +298,20 @@ void PathResolver::addCommand(SkPath* outPath, char previousCmd, char cmd,
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break;
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case 'a': // Draws an elliptical arc
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// (rx ry x-axis-rotation large-arc-flag sweep-flag x y)
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drawArc(outPath, currentX, currentY, points->at(k + 5) + currentX,
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points->at(k + 6) + currentY, points->at(k + 0), points->at(k + 1),
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points->at(k + 2), points->at(k + 3) != 0, points->at(k + 4) != 0);
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outPath->arcTo(points->at(k + 0), points->at(k + 1), points->at(k + 2),
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(SkPath::ArcSize) (points->at(k + 3) != 0),
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(SkPath::Direction) (points->at(k + 4) == 0),
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points->at(k + 5) + currentX, points->at(k + 6) + currentY);
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currentX += points->at(k + 5);
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currentY += points->at(k + 6);
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ctrlPointX = currentX;
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ctrlPointY = currentY;
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break;
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case 'A': // Draws an elliptical arc
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drawArc(outPath, currentX, currentY, points->at(k + 5), points->at(k + 6),
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points->at(k + 0), points->at(k + 1), points->at(k + 2),
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points->at(k + 3) != 0, points->at(k + 4) != 0);
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outPath->arcTo(points->at(k + 0), points->at(k + 1), points->at(k + 2),
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(SkPath::ArcSize) (points->at(k + 3) != 0),
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(SkPath::Direction) (points->at(k + 4) == 0),
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points->at(k + 5), points->at(k + 6));
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currentX = points->at(k + 5);
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currentY = points->at(k + 6);
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ctrlPointX = currentX;
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