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Add sameDir parameter it #isCollinear() functions and use it in Path#reduce().
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4 changed files with 17 additions and 10 deletions
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@ -113,8 +113,9 @@ var Line = Base.extend(/** @lends Line# */{
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point.x, point.y, true));
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},
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isCollinear: function(line) {
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return Point.isCollinear(this._vx, this._vy, line._vx, line._vy);
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isCollinear: function(line, sameDir) {
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return Point.isCollinear(this._vx, this._vy, line._vx, line._vy,
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sameDir);
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},
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isOrthogonal: function(line) {
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@ -704,8 +704,9 @@ var Point = Base.extend(/** @lends Point# */{
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* @return {Boolean} {@true it is collinear}
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*/
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isCollinear: function(/* point */) {
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var point = Point.read(arguments);
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return Point.isCollinear(this.x, this.y, point.x, point.y);
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var point = Point.read(arguments),
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sameDir = Base.read(arguments);
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return Point.isCollinear(this.x, this.y, point.x, point.y, sameDir);
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},
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// TODO: Remove version with typo after a while (deprecated June 2015)
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@ -917,14 +918,16 @@ var Point = Base.extend(/** @lends Point# */{
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return new Point(Math.random(), Math.random());
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},
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isCollinear: function(x1, y1, x2, y2) {
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isCollinear: function(x1, y1, x2, y2, sameDir) {
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// NOTE: We use normalized vectors so that the epsilon comparison is
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// reliable. We could instead scale the epsilon based on the vector
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// length. But instead of normalizing the vectors before calculating
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// the cross product, we can scale the epsilon accordingly.
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var d2 = x2 * x2 + y2 * y2;
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return Math.abs(x1 * y2 - y1 * x2)
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<= Math.sqrt((x1 * x1 + y1 * y1) * (x2 * x2 + y2 * y2))
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* /*#=*/Numerical.TRIGONOMETRIC_EPSILON;
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<= Math.sqrt((x1 * x1 + y1 * y1) * d2)
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* /*#=*/Numerical.TRIGONOMETRIC_EPSILON
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&& (!sameDir || (x1 * x2 + y1 * y2) / d2 >= 0);
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},
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isOrthogonal: function(x1, y1, x2, y2) {
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@ -949,9 +949,9 @@ statics: {
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* @param {Curve} curve the other curve to check against
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* @return {Boolean} {@true if the two lines are collinear}
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*/
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isCollinear: function(curve) {
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isCollinear: function(curve, sameDir) {
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return curve && this.isStraight() && curve.isStraight()
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&& this.getLine().isCollinear(curve.getLine());
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&& this.getLine().isCollinear(curve.getLine(), sameDir);
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},
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/**
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@ -1032,7 +1032,10 @@ var Path = PathItem.extend(/** @lends Path# */{
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var curve = curves[i];
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if (!curve.hasHandles()
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&& (curve.getLength() < /*#=*/Numerical.GEOMETRIC_EPSILON
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|| curve.isCollinear(curve.getNext())))
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// Pass true for sameDir, as we can only remove straight
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// curves if they point in the same direction as the next
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// curve, not 180° in the opposite direction.
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|| curve.isCollinear(curve.getNext(), true)))
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curve.remove();
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}
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return this;
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