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@@ -97,31 +97,58 @@ export class CircumferenceModel extends GeometricObject {
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];
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}
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+ /**
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+ * Get Intersection Poin By Circumference and Line Segment
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+ * @param {LineSegmentModel} lineSegment
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+ */
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getIntersectionByLine(lineSegment) {
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- const r = this.getStraight();
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- const s = lineSegment.getStraight();
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- const a1 = r[0];
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- const b1 = r[1];
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- const c1 = r[2];
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- const a2 = s[0];
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- const b2 = s[1];
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- const c2 = s[2];
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- const determinant = a1 * b2 - a2 * b1;
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- if (determinant == 0) {
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+
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+ const pointA = lineSegment.pointA;
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+ const pointB = lineSegment.pointB;
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+ const center = this.center;
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+ const radius = this.getRadius();
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+
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+ const dx = pointB.posX - pointA.posX;
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+ const dy = pointB.posY - pointA.posY;
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+
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+ const cx = center.posX - pointA.posX;
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+ const cy = center.posY - pointA.posY;
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+
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+ const a = dx * dx + dy * dy;
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+ const b = dx * cx + dy * cy;
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+ const c = cx * cx + cy * cy - radius * radius;
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+
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+ const D = b / a;
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+ const q = c / a;
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+
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+ const delta = D * D - q;
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+ if (delta < 0) {
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return [
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- new IntersectionModel(
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- Number.MAX_SAFE_INTEGER,
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- Number.MAX_SAFE_INTEGER,
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- undefined,
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- this,
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- lineSegment
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- )
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+ new IntersectionModel(Number.MAX_SAFE_INTEGER, Number.MAX_SAFE_INTEGER, undefined, this, lineSegment, false, 0),
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+ new IntersectionModel(Number.MAX_SAFE_INTEGER, Number.MAX_SAFE_INTEGER, undefined, this, lineSegment, false, 1)
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];
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- } else {
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- const x = (b2 * c1 - b1 * c2) / determinant;
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- const y = (a1 * c2 - a2 * c1) / determinant;
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- return [new IntersectionModel(x, y, undefined, this, lineSegment)];
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}
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+
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+ const deltaSqrt = Math.sqrt(delta);
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+ const root1 = -D + deltaSqrt;
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+ const root2 = -D - deltaSqrt;
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+ const x1 = pointA.posX - dx * root1
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+ const y1 = pointA.posY - dy * root1;
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+
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+ if (delta == 0) {
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+ return [
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+ new IntersectionModel(x1, y1, undefined, this, lineSegment, true, 0),
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+ new IntersectionModel(Number.MAX_SAFE_INTEGER, Number.MAX_SAFE_INTEGER, undefined, this, lineSegment, false, 1)
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+ ];
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+ }
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+ const x2 = pointA.posX - dx * root2;
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+ const y2 = pointA.posY - dy * root2;
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+
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+ return [
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+ new IntersectionModel(x1, y1, undefined, this, lineSegment, true, 0),
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+ new IntersectionModel(x2, y2, undefined, this, lineSegment, true, 1)
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+ ];
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+
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}
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insideSegment(intersecX, intersecY) {
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