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Merge pull request #895 from iconexperience/further-simplify-winding-calculation2
Further simplify and explain winding calculation in getWinding() (2)
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commit
18e00f6312
1 changed files with 32 additions and 25 deletions
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@ -353,11 +353,11 @@ PathItem.inject(new function() {
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// Retrieve and use it here (See _getMonoCurve()).
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var curve = curves[start],
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last = curve.last,
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// Get the values of to the end x coordinate and winding of
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// the last non-horizontal curve, which will be the previous
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// non-horizontal curve for the first curve of the loop.
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// Get the values of to the end x coordinate and winding of
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// the last non-horizontal curve, which will be the previous
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// non-horizontal curve for the first curve of the loop.
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prevWinding = last.winding,
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prevEnd = last.values[6];
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prevXEnd = last.values[6];
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end = start + curve.length;
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for (var i = start; i < end; i++) {
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var curve = curves[i],
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@ -369,37 +369,44 @@ PathItem.inject(new function() {
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// compare the endpoints of the curve to determine if the
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// ray from query point along +-x direction will intersect
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// the monotone curve.
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// horizontal curves with winding == 0 will be completely
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// ignored
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if (winding && (py >= yStart && py <= yEnd
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|| py >= yEnd && py <= yStart)) {
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|| py >= yEnd && py <= yStart)) {
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// calculate the x value for the ray's intersection
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var x;
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if (py === yStart) {
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var x = values[0];
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if (winding * prevWinding < 0) {
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if (x > xBefore && x < xAfter) {
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++windLeft;
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++windRight;
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} else if (x < xBefore) {
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x = values[0];
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} else if (py === yEnd) {
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x = values[6];
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} else if (Curve.solveCubic(values, 1, py, roots, 0, 1) === 1) {
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x = Curve.getPoint(values, roots[0]).x;
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}
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if (x != null) {
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// count the intersection of the ray with the monotonic curve if
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// - the crossing is not at the start of the curve
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// - or the windings are opposite (intersect at a vertical extremum)
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// - or the start of the current curve and the end of the prev
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// curve are on opposite sides of px
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var isWindingChange = winding === -prevWinding,
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countIntersection = py !== yStart || isWindingChange ||
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(x - px) * (prevXEnd - px) < 0;
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if (countIntersection) {
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if (x < xBefore) {
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windLeft += winding;
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} else if (x > xAfter) {
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windRight += winding;
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} else if (py === yStart && isWindingChange) {
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// intersection is at a vertical extremum
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++windLeft;
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++windRight;
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}
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} else if (x < xBefore && prevEnd > xBefore) {
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windLeft += winding;
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} else if (x > xAfter && prevEnd < xAfter) {
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windRight += winding;
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}
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} else if (Curve.solveCubic(values, 1, py, roots, 0, 1)
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=== 1) {
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var x = Curve.getPoint(values, roots[0]).x;
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if (x < xBefore) {
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windLeft += winding;
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} else if (x > xAfter) {
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windRight += winding;
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}
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}
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// Update previous winding and end coordinate whenever
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// we encountered a non-horizontal curve.
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// the ray intersects a non-horizontal curve.
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prevWinding = winding;
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prevEnd = values[6];
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prevXEnd = values[6];
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}
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}
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}
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