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Added remaining intersection methods

This commit is contained in:
Joost De Cock 2018-08-23 15:57:23 +02:00
parent a4647dfebb
commit 2134b13bed
7 changed files with 394 additions and 74 deletions

View file

@ -11,7 +11,7 @@ it("Should find the intersection of two endless line segments", () => {
let b = new freesewing.Point(20, 24);
let c = new freesewing.Point(90, 19);
let d = new freesewing.Point(19, 70);
let X = freesewing.utils.beamsCross(a, b, c, d);
let X = freesewing.utils.beamsIntersect(a, b, c, d);
expect(X.x).to.equal(60.49);
expect(X.y).to.equal(40.2);
});
@ -21,8 +21,8 @@ it("Should detect parallel lines", () => {
let b = new freesewing.Point(20, 20);
let c = new freesewing.Point(90, 40);
let d = new freesewing.Point(19, 40);
expect(freesewing.utils.beamsCross(a, b, c, d)).to.equal(false);
expect(freesewing.utils.linesCross(a, b, c, d)).to.equal(false);
expect(freesewing.utils.beamsIntersect(a, b, c, d)).to.equal(false);
expect(freesewing.utils.linesIntersect(a, b, c, d)).to.equal(false);
});
it("Should detect vertical lines", () => {
@ -30,10 +30,10 @@ it("Should detect vertical lines", () => {
let b = new freesewing.Point(10, 90);
let c = new freesewing.Point(90, 40);
let d = new freesewing.Point(19, 40);
let X = freesewing.utils.beamsCross(a, b, c, d);
let X = freesewing.utils.beamsIntersect(a, b, c, d);
expect(X.x).to.equal(10);
expect(X.y).to.equal(40);
X = freesewing.utils.beamsCross(c, d, a, b);
X = freesewing.utils.beamsIntersect(c, d, a, b);
expect(X.x).to.equal(10);
});
@ -42,7 +42,7 @@ it("Should swap direction prior to finding beam intersection", () => {
let b = new freesewing.Point(00, 90);
let c = new freesewing.Point(90, 40);
let d = new freesewing.Point(19, 40);
let X = freesewing.utils.beamsCross(a, b, c, d);
let X = freesewing.utils.beamsIntersect(a, b, c, d);
expect(X.x).to.equal(7.14);
expect(X.y).to.equal(40);
});
@ -52,7 +52,7 @@ it("Should return false when two lines don't intersect", () => {
let b = new freesewing.Point(20, 24);
let c = new freesewing.Point(90, 19);
let d = new freesewing.Point(19, 70);
expect(freesewing.utils.linesCross(a, b, c, d)).to.equal(false);
expect(freesewing.utils.linesIntersect(a, b, c, d)).to.equal(false);
});
it("Should find the intersection of two line segments", () => {
@ -60,7 +60,7 @@ it("Should find the intersection of two line segments", () => {
let b = new freesewing.Point(90, 74);
let c = new freesewing.Point(90, 19);
let d = new freesewing.Point(11, 70);
let X = freesewing.utils.linesCross(a, b, c, d);
let X = freesewing.utils.linesIntersect(a, b, c, d);
expect(X.x).to.equal(51.95);
expect(X.y).to.equal(43.56);
});
@ -70,7 +70,7 @@ it("Should find the intersection of two line segments - round() edge case", () =
let b = new freesewing.Point(10, 30);
let c = new freesewing.Point(55, 40);
let d = new freesewing.Point(0, 55);
let X = freesewing.utils.linesCross(a, b, c, d);
let X = freesewing.utils.linesIntersect(a, b, c, d);
expect(X.x).to.equal(29.71);
expect(X.y).to.equal(46.9);
});
@ -78,7 +78,7 @@ it("Should find the intersection of two line segments - round() edge case", () =
it("Should find the intersection of an endles line and a give X-value", () => {
let a = new freesewing.Point(10, 10);
let b = new freesewing.Point(90, 74);
let X = freesewing.utils.beamCrossesX(a, b, 69);
let X = freesewing.utils.beamIntersectsX(a, b, 69);
expect(X.x).to.equal(69);
expect(X.y).to.equal(57.2);
});
@ -86,7 +86,7 @@ it("Should find the intersection of an endles line and a give X-value", () => {
it("Should find the intersection of an endles line and a give Y-value", () => {
let a = new freesewing.Point(10, 10);
let b = new freesewing.Point(90, 74);
let X = freesewing.utils.beamCrossesY(a, b, 69);
let X = freesewing.utils.beamIntersectsY(a, b, 69);
expect(X.x).to.equal(83.75);
expect(X.y).to.equal(69);
});
@ -94,13 +94,13 @@ it("Should find the intersection of an endles line and a give Y-value", () => {
it("Should detect vertical lines never pass a give X-value", () => {
let a = new freesewing.Point(10, 10);
let b = new freesewing.Point(10, 90);
expect(freesewing.utils.beamCrossesX(a, b, 69)).to.equal(false);
expect(freesewing.utils.beamIntersectsX(a, b, 69)).to.equal(false);
});
it("Should detect horizontal lines never pass a give Y-value", () => {
let a = new freesewing.Point(10, 10);
let b = new freesewing.Point(90, 10);
expect(freesewing.utils.beamCrossesY(a, b, 69)).to.equal(false);
expect(freesewing.utils.beamIntersectsY(a, b, 69)).to.equal(false);
});
it("Should find no intersections between a curve and a line", () => {
@ -111,7 +111,7 @@ it("Should find no intersections between a curve and a line", () => {
let E = new freesewing.Point(-20, -20);
let D = new freesewing.Point(30, -85);
let hit = freesewing.utils.curveCrossesLine(A, Acp, Bcp, B, E, D);
let hit = freesewing.utils.lineIntersectsCurve(E, D, A, Acp, Bcp, B);
expect(hit).to.equal(false);
});
@ -123,7 +123,7 @@ it("Should find 1 intersection between a curve and a line", () => {
let E = new freesewing.Point(20, 20);
let D = new freesewing.Point(30, -85);
let hit = freesewing.utils.curveCrossesLine(A, Acp, Bcp, B, E, D);
let hit = freesewing.utils.lineIntersectsCurve(E, D, A, Acp, Bcp, B);
expect(hit.x).to.equal(20.85);
expect(hit.y).to.equal(11.11);
});
@ -136,7 +136,7 @@ it("Should find 3 intersections between a curve and a line", () => {
let E = new freesewing.Point(20, -5);
let D = new freesewing.Point(100, 85);
let hits = freesewing.utils.curveCrossesLine(A, Acp, Bcp, B, E, D);
let hits = freesewing.utils.lineIntersectsCurve(E, D, A, Acp, Bcp, B);
expect(hits.length).to.equal(3);
});
@ -150,7 +150,7 @@ it("Should find 9 intersections between two curves", () => {
let D = new freesewing.Point(100, 85);
let Dcp = new freesewing.Point(70, -220);
let hits = freesewing.utils.curveCrossesCurve(A, Acp, Bcp, B, C, Ccp, Dcp, D);
let hits = freesewing.utils.curvesIntersect(A, Acp, Bcp, B, C, Ccp, Dcp, D);
expect(hits.length).to.equal(9);
});
@ -164,7 +164,7 @@ it("Should find 1 intersection between two curves", () => {
let D = new freesewing.Point(-200, 85);
let Dcp = new freesewing.Point(-270, -220);
let hit = freesewing.utils.curveCrossesCurve(A, Acp, Bcp, B, C, Ccp, Dcp, D);
let hit = freesewing.utils.curvesIntersect(A, Acp, Bcp, B, C, Ccp, Dcp, D);
expect(hit.x).to.equal(15.58);
expect(hit.y).to.equal(10.56);
});
@ -179,7 +179,7 @@ it("Should find no intersection between two curves", () => {
let D = new freesewing.Point(-200, 85);
let Dcp = new freesewing.Point(-270, -220);
let hit = freesewing.utils.curveCrossesCurve(A, Acp, Bcp, B, C, Ccp, Dcp, D);
let hit = freesewing.utils.curvesIntersect(A, Acp, Bcp, B, C, Ccp, Dcp, D);
expect(hit).to.equal(false);
});
@ -216,3 +216,239 @@ it("Should find a start or end point on curve", () => {
expect(freesewing.utils.pointOnCurve(A, Acp, Bcp, B, checkA)).to.equal(true);
expect(freesewing.utils.pointOnCurve(A, Acp, Bcp, B, checkB)).to.equal(true);
});
it("Should find the intersections of a beam and circle", () => {
let A = new freesewing.Point(45, 45).attr("data-circle", 35);
let B = new freesewing.Point(5, 50);
let C = new freesewing.Point(25, 30);
let intersections = freesewing.utils.beamIntersectsCircle(
A,
A.attributes.get("data-circle"),
B,
C,
"y"
);
expect(intersections.length).to.equal(2);
expect(intersections[0].x).to.equal(45);
expect(intersections[0].y).to.equal(10);
expect(intersections[1].x).to.equal(10);
expect(intersections[1].y).to.equal(45);
});
it("Should not find the intersections of this beam and circle", () => {
let A = new freesewing.Point(75, 75).attr("data-circle", 35);
let B = new freesewing.Point(5, 5);
let C = new freesewing.Point(10, 5);
let intersections = freesewing.utils.beamIntersectsCircle(
A,
A.attributes.get("data-circle"),
B,
C
);
expect(intersections).to.equal(false);
});
it("Should find one intersections between this beam and circle", () => {
let A = new freesewing.Point(5, 5).attr("data-circle", 5);
let B = new freesewing.Point(0, 0);
let C = new freesewing.Point(-10, 0);
let intersections = freesewing.utils.beamIntersectsCircle(
A,
A.attributes.get("data-circle"),
B,
C
);
expect(intersections.length).to.equal(1);
expect(intersections[0].x).to.equal(5);
expect(intersections[0].y).to.equal(0);
});
it("Should find one intersections between this tangent and circle", () => {
let A = new freesewing.Point(5, 5).attr("data-circle", 5);
let B = new freesewing.Point(0, 0);
let C = new freesewing.Point(10, 0);
let intersections = freesewing.utils.lineIntersectsCircle(
A,
A.attributes.get("data-circle"),
B,
C
);
expect(intersections.length).to.equal(1);
expect(intersections[0].x).to.equal(5);
expect(intersections[0].y).to.equal(0);
});
it("Should find one intersection between this line and circle", () => {
let A = new freesewing.Point(5, 5).attr("data-circle", 5);
let B = new freesewing.Point(5, 5);
let C = new freesewing.Point(26, 25);
let intersections = freesewing.utils.lineIntersectsCircle(
A,
A.attributes.get("data-circle"),
B,
C
);
expect(intersections.length).to.equal(1);
expect(intersections[0].x).to.equal(8.62);
expect(intersections[0].y).to.equal(8.45);
});
it("Should not find an intersections between this line and circle", () => {
let A = new freesewing.Point(5, 5).attr("data-circle", 5);
let B = new freesewing.Point(0, 0);
let C = new freesewing.Point(-10, 0);
let intersections = freesewing.utils.lineIntersectsCircle(
A,
A.attributes.get("data-circle"),
B,
C
);
expect(intersections).to.equal(false);
});
it("Should find two intersections between this line and circle", () => {
let A = new freesewing.Point(6, 7).attr("data-circle", 5);
let B = new freesewing.Point(0, 10);
let C = new freesewing.Point(10, 0);
let intersections1 = freesewing.utils.lineIntersectsCircle(
A,
A.attributes.get("data-circle"),
B,
C,
"foo"
);
let intersections2 = freesewing.utils.lineIntersectsCircle(
A,
A.attributes.get("data-circle"),
B,
C,
"x"
);
let intersections3 = freesewing.utils.lineIntersectsCircle(
A,
A.attributes.get("data-circle"),
B,
C,
"y"
);
expect(intersections1.length).to.equal(2);
expect(intersections2.length).to.equal(2);
expect(intersections3.length).to.equal(2);
expect(intersections1[0].sitsOn(intersections2[1])).to.equal(true);
expect(intersections1[1].sitsOn(intersections2[0])).to.equal(true);
expect(intersections1[0].sitsOn(intersections3[0])).to.equal(true);
expect(intersections1[1].sitsOn(intersections3[1])).to.equal(true);
expect(intersections1[0].x).to.equal(7.7);
expect(intersections1[0].y).to.equal(2.3);
expect(intersections1[1].x).to.equal(1.3);
expect(intersections1[1].y).to.equal(8.7);
});
it("Should find the intersections of a line and circle", () => {
let A = new freesewing.Point(45, 45).attr("data-circle", 35);
let B = new freesewing.Point(5, 50);
let C = new freesewing.Point(25, 30);
let intersections = freesewing.utils.lineIntersectsCircle(
A,
A.attributes.get("data-circle"),
B,
C
);
expect(intersections.length).to.equal(1);
expect(intersections[0].x).to.equal(10);
expect(intersections[0].y).to.equal(45);
});
it("Should not find intersections of this line and circle", () => {
let A = new freesewing.Point(75, 75).attr("data-circle", 35);
let B = new freesewing.Point(5, 5);
let C = new freesewing.Point(10, 5);
let intersections = freesewing.utils.lineIntersectsCircle(
A,
A.attributes.get("data-circle"),
B,
C
);
expect(intersections).to.equal(false);
});
it("Should not find intersections of this line and circle", () => {
let A = new freesewing.Point(45, 45).attr("data-circle", 35);
let B = new freesewing.Point(40, 40);
let C = new freesewing.Point(52, 50);
let intersections = freesewing.utils.lineIntersectsCircle(
A,
A.attributes.get("data-circle"),
B,
C
);
expect(intersections).to.equal(false);
});
it("Should find intersections between circles", () => {
A = new freesewing.Point(10, 10).attr("data-circle", 15);
B = new freesewing.Point(30, 30).attr("data-circle", 35);
let intersections1 = freesewing.utils.circlesIntersect(
A,
A.attributes.get("data-circle"),
B,
B.attributes.get("data-circle")
);
let intersections2 = freesewing.utils.circlesIntersect(
A,
A.attributes.get("data-circle"),
B,
B.attributes.get("data-circle"),
"y"
);
expect(intersections1.length).to.equal(2);
expect(intersections2.length).to.equal(2);
expect(intersections1[0].x).to.equal(-2.81);
expect(intersections1[0].y).to.equal(17.8);
expect(intersections1[1].x).to.equal(17.8);
expect(intersections1[1].y).to.equal(-2.81);
expect(intersections2[0].x).to.equal(17.8);
expect(intersections2[0].y).to.equal(-2.81);
expect(intersections2[1].x).to.equal(-2.81);
expect(intersections2[1].y).to.equal(17.8);
});
it("Should not find intersections between non-overlapping circles", () => {
A = new freesewing.Point(10, 10).attr("data-circle", 15);
B = new freesewing.Point(90, 90).attr("data-circle", 35);
let intersections = freesewing.utils.circlesIntersect(
A,
A.attributes.get("data-circle"),
B,
B.attributes.get("data-circle")
);
expect(intersections).to.equal(false);
});
it("Should not find intersections between contained circles", () => {
A = new freesewing.Point(10, 10).attr("data-circle", 15);
B = new freesewing.Point(10, 10).attr("data-circle", 35);
let intersections = freesewing.utils.circlesIntersect(
A,
A.attributes.get("data-circle"),
B,
B.attributes.get("data-circle")
);
expect(intersections).to.equal(false);
});
it("Should not find intersections between identical circles", () => {
A = new freesewing.Point(10, 10).attr("data-circle", 35);
B = new freesewing.Point(10, 10).attr("data-circle", 35);
let intersections = freesewing.utils.circlesIntersect(
A,
A.attributes.get("data-circle"),
B,
B.attributes.get("data-circle")
);
expect(intersections).to.equal(false);
});