import { Intersections2D } from "../../Source/Cesium.js"; describe("Core/Intersections2D", function () { describe("clipTriangleAtAxisAlignedThreshold", function () { it("eliminates a triangle that is entirely on the wrong side of the threshold", function () { var result = Intersections2D.clipTriangleAtAxisAlignedThreshold( 0.1, false, 0.2, 0.3, 0.4 ); expect(result.length).toBe(0); }); it("keeps a triangle that is entirely on the correct side of the threshold", function () { var result = Intersections2D.clipTriangleAtAxisAlignedThreshold( 0.1, true, 0.2, 0.3, 0.4 ); expect(result.length).toBe(3); expect(result[0]).toBe(0); expect(result[1]).toBe(1); expect(result[2]).toBe(2); }); it("adds two vertices on threshold when point 0 is on the wrong side and above", function () { var result = Intersections2D.clipTriangleAtAxisAlignedThreshold( 0.5, false, 0.6, 0.4, 0.2 ); expect(result.length).toBe(10); expect(result[0]).toBe(1); expect(result[1]).toBe(2); expect(result[2]).toBe(-1); expect(result[3]).toBe(0); expect(result[4]).toBe(2); expect(result[5]).toEqualEpsilon(0.25, 1e-14); expect(result[6]).toBe(-1); expect(result[7]).toBe(0); expect(result[8]).toBe(1); expect(result[9]).toEqualEpsilon(0.5, 1e-14); }); it("adds two vertices on threshold when point 0 is on the wrong side and below", function () { var result = Intersections2D.clipTriangleAtAxisAlignedThreshold( 0.5, true, 0.4, 0.6, 0.8 ); expect(result.length).toBe(10); expect(result[0]).toBe(1); expect(result[1]).toBe(2); expect(result[2]).toBe(-1); expect(result[3]).toBe(0); expect(result[4]).toBe(2); expect(result[5]).toEqualEpsilon(0.25, 1e-14); expect(result[6]).toBe(-1); expect(result[7]).toBe(0); expect(result[8]).toBe(1); expect(result[9]).toEqualEpsilon(0.5, 1e-14); }); it("adds two vertices on threshold when point 1 is on the wrong side and above", function () { var result = Intersections2D.clipTriangleAtAxisAlignedThreshold( 0.5, false, 0.2, 0.6, 0.4 ); expect(result.length).toBe(10); expect(result[0]).toBe(2); expect(result[1]).toBe(0); expect(result[2]).toBe(-1); expect(result[3]).toBe(1); expect(result[4]).toBe(0); expect(result[5]).toEqualEpsilon(0.25, 1e-14); expect(result[6]).toBe(-1); expect(result[7]).toBe(1); expect(result[8]).toBe(2); expect(result[9]).toEqualEpsilon(0.5, 1e-14); }); it("adds two vertices on threshold when point 1 is on the wrong side and below", function () { var result = Intersections2D.clipTriangleAtAxisAlignedThreshold( 0.5, true, 0.8, 0.4, 0.6 ); expect(result.length).toBe(10); expect(result[0]).toBe(2); expect(result[1]).toBe(0); expect(result[2]).toBe(-1); expect(result[3]).toBe(1); expect(result[4]).toBe(0); expect(result[5]).toEqualEpsilon(0.25, 1e-14); expect(result[6]).toBe(-1); expect(result[7]).toBe(1); expect(result[8]).toBe(2); expect(result[9]).toEqualEpsilon(0.5, 1e-14); }); it("adds two vertices on threshold when point 2 is on the wrong side and above", function () { var result = Intersections2D.clipTriangleAtAxisAlignedThreshold( 0.5, false, 0.4, 0.2, 0.6 ); expect(result.length).toBe(10); expect(result[0]).toBe(0); expect(result[1]).toBe(1); expect(result[2]).toBe(-1); expect(result[3]).toBe(2); expect(result[4]).toBe(1); expect(result[5]).toEqualEpsilon(0.25, 1e-14); expect(result[6]).toBe(-1); expect(result[7]).toBe(2); expect(result[8]).toBe(0); expect(result[9]).toEqualEpsilon(0.5, 1e-14); }); it("adds two vertices on threshold when point 2 is on the wrong side and below", function () { var result = Intersections2D.clipTriangleAtAxisAlignedThreshold( 0.5, true, 0.6, 0.8, 0.4 ); expect(result.length).toBe(10); expect(result[0]).toBe(0); expect(result[1]).toBe(1); expect(result[2]).toBe(-1); expect(result[3]).toBe(2); expect(result[4]).toBe(1); expect(result[5]).toEqualEpsilon(0.25, 1e-14); expect(result[6]).toBe(-1); expect(result[7]).toBe(2); expect(result[8]).toBe(0); expect(result[9]).toEqualEpsilon(0.5, 1e-14); }); it("adds two vertices on threshold when only point 0 is on the right side and below", function () { var result = Intersections2D.clipTriangleAtAxisAlignedThreshold( 0.5, false, 0.4, 0.6, 0.8 ); expect(result.length).toBe(9); expect(result[0]).toBe(0); expect(result[1]).toBe(-1); expect(result[2]).toBe(1); expect(result[3]).toBe(0); expect(result[4]).toEqualEpsilon(0.5, 1e-14); expect(result[5]).toBe(-1); expect(result[6]).toBe(2); expect(result[7]).toBe(0); expect(result[8]).toEqualEpsilon(0.75, 1e-14); }); it("adds two vertices on threshold when only point 0 is on the right side and above", function () { var result = Intersections2D.clipTriangleAtAxisAlignedThreshold( 0.5, true, 0.6, 0.4, 0.2 ); expect(result.length).toBe(9); expect(result[0]).toBe(0); expect(result[1]).toBe(-1); expect(result[2]).toBe(1); expect(result[3]).toBe(0); expect(result[4]).toEqualEpsilon(0.5, 1e-14); expect(result[5]).toBe(-1); expect(result[6]).toBe(2); expect(result[7]).toBe(0); expect(result[8]).toEqualEpsilon(0.75, 1e-14); }); it("adds two vertices on threshold when only point 1 is on the right side and below", function () { var result = Intersections2D.clipTriangleAtAxisAlignedThreshold( 0.5, false, 0.8, 0.4, 0.6 ); expect(result.length).toBe(9); expect(result[0]).toBe(1); expect(result[1]).toBe(-1); expect(result[2]).toBe(2); expect(result[3]).toBe(1); expect(result[4]).toEqualEpsilon(0.5, 1e-14); expect(result[5]).toBe(-1); expect(result[6]).toBe(0); expect(result[7]).toBe(1); expect(result[8]).toEqualEpsilon(0.75, 1e-14); }); it("adds two vertices on threshold when only point 1 is on the right side and above", function () { var result = Intersections2D.clipTriangleAtAxisAlignedThreshold( 0.5, true, 0.2, 0.6, 0.4 ); expect(result.length).toBe(9); expect(result[0]).toBe(1); expect(result[1]).toBe(-1); expect(result[2]).toBe(2); expect(result[3]).toBe(1); expect(result[4]).toEqualEpsilon(0.5, 1e-14); expect(result[5]).toBe(-1); expect(result[6]).toBe(0); expect(result[7]).toBe(1); expect(result[8]).toEqualEpsilon(0.75, 1e-14); }); it("adds two vertices on threshold when only point 2 is on the right side and below", function () { var result = Intersections2D.clipTriangleAtAxisAlignedThreshold( 0.5, false, 0.6, 0.8, 0.4 ); expect(result.length).toBe(9); expect(result[0]).toBe(2); expect(result[1]).toBe(-1); expect(result[2]).toBe(0); expect(result[3]).toBe(2); expect(result[4]).toEqualEpsilon(0.5, 1e-14); expect(result[5]).toBe(-1); expect(result[6]).toBe(1); expect(result[7]).toBe(2); expect(result[8]).toEqualEpsilon(0.75, 1e-14); }); it("adds two vertices on threshold when only point 2 is on the right side and above", function () { var result = Intersections2D.clipTriangleAtAxisAlignedThreshold( 0.5, true, 0.4, 0.2, 0.6 ); expect(result.length).toBe(9); expect(result[0]).toBe(2); expect(result[1]).toBe(-1); expect(result[2]).toBe(0); expect(result[3]).toBe(2); expect(result[4]).toEqualEpsilon(0.5, 1e-14); expect(result[5]).toBe(-1); expect(result[6]).toBe(1); expect(result[7]).toBe(2); expect(result[8]).toEqualEpsilon(0.75, 1e-14); }); }); describe("computeBarycentricCoordinates", function () { it("returns the correct result for positions on a triangle vertex", function () { var ll = Intersections2D.computeBarycentricCoordinates( 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0 ); expect(ll.x).toEqualEpsilon(1.0, 1e-15); expect(ll.y).toEqualEpsilon(0.0, 1e-15); expect(ll.z).toEqualEpsilon(0.0, 1e-15); var lr = Intersections2D.computeBarycentricCoordinates( 1.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0 ); expect(lr.x).toEqualEpsilon(0.0, 1e-15); expect(lr.y).toEqualEpsilon(1.0, 1e-15); expect(lr.z).toEqualEpsilon(0.0, 1e-15); var ul = Intersections2D.computeBarycentricCoordinates( 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0 ); expect(ul.x).toEqualEpsilon(0.0, 1e-15); expect(ul.y).toEqualEpsilon(0.0, 1e-15); expect(ul.z).toEqualEpsilon(1.0, 1e-15); }); it("returns the correct result for a position in the barycenter of a triangle", function () { var result = Intersections2D.computeBarycentricCoordinates( 0.0, 0.0, 0.0, 1.0, -1, -0.5, 1, -0.5 ); expect(result.x).toEqualEpsilon(1.0 / 3.0, 1e-15); expect(result.y).toEqualEpsilon(1.0 / 3.0, 1e-15); expect(result.z).toEqualEpsilon(1.0 / 3.0, 1e-15); }); it("returns the correct result for a position on an edge between two vertices", function () { var e12 = Intersections2D.computeBarycentricCoordinates( 1.5, 1.0, 1.0, 1.0, 2.0, 1.0, 1.0, 2.0 ); expect(e12.x).toEqualEpsilon(0.5, 1e-15); expect(e12.y).toEqualEpsilon(0.5, 1e-15); expect(e12.z).toEqualEpsilon(0.0, 1e-15); var e23 = Intersections2D.computeBarycentricCoordinates( 1.5, 1.5, 1.0, 1.0, 2.0, 1.0, 1.0, 2.0 ); expect(e23.x).toEqualEpsilon(0.0, 1e-15); expect(e23.y).toEqualEpsilon(0.5, 1e-15); expect(e23.z).toEqualEpsilon(0.5, 1e-15); var e31 = Intersections2D.computeBarycentricCoordinates( 1.0, 1.5, 1.0, 1.0, 2.0, 1.0, 1.0, 2.0 ); expect(e31.x).toEqualEpsilon(0.5, 1e-15); expect(e31.y).toEqualEpsilon(0.0, 1e-15); expect(e31.z).toEqualEpsilon(0.5, 1e-15); }); it("returns the correct result for a position outside a triangle", function () { var result1 = Intersections2D.computeBarycentricCoordinates( 0.5, 0.5, 1.0, 1.0, 2.0, 1.0, 1.0, 2.0 ); expect(result1.x).toBeGreaterThan(0.0); expect(result1.y).toBeLessThan(0.0); expect(result1.z).toBeLessThan(0.0); var result2 = Intersections2D.computeBarycentricCoordinates( 2.1, 0.99, 1.0, 1.0, 2.0, 1.0, 1.0, 2.0 ); expect(result2.x).toBeLessThan(0.0); expect(result2.y).toBeGreaterThan(0.0); expect(result2.z).toBeLessThan(0.0); var result3 = Intersections2D.computeBarycentricCoordinates( 0.99, 2.1, 1.0, 1.0, 2.0, 1.0, 1.0, 2.0 ); expect(result3.x).toBeLessThan(0.0); expect(result3.y).toBeLessThan(0.0); expect(result3.z).toBeGreaterThan(0.0); }); }); describe("computeLineSegmentLineSegmentIntersection", function () { it("returns the correct result for intersection point", function () { var intersection0 = Intersections2D.computeLineSegmentLineSegmentIntersection( 0.0, 0.0, 0.0, 2.0, -1.0, 1.0, 1.0, 1.0 ); expect(intersection0.x).toEqualEpsilon(0.0, 1e-15); expect(intersection0.y).toEqualEpsilon(1.0, 1e-15); var intersection1 = Intersections2D.computeLineSegmentLineSegmentIntersection( 0.0, 0.0, 10.0, 5.0, 0.0, 5.0, 10.0, 0.0 ); expect(intersection1.x).toEqualEpsilon(5.0, 1e-15); expect(intersection1.y).toEqualEpsilon(2.5, 1e-15); var intersection2 = Intersections2D.computeLineSegmentLineSegmentIntersection( 0.0, -5.0, 4.0, 3.0, -2.0, 1.0, 4.0, -2.0 ); expect(intersection2.x).toEqualEpsilon(2.0, 1e-15); expect(intersection2.y).toEqualEpsilon(-1.0, 1e-15); }); it("returns the correct result for intersection point on a vertex", function () { var intersection0 = Intersections2D.computeLineSegmentLineSegmentIntersection( 0.0, 0.0, 0.0, 2.0, -1.0, 0.0, 1.0, 0.0 ); expect(intersection0.x).toEqualEpsilon(0.0, 1e-15); expect(intersection0.y).toEqualEpsilon(0.0, 1e-15); var intersection1 = Intersections2D.computeLineSegmentLineSegmentIntersection( 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 0.0 ); expect(intersection1.x).toEqualEpsilon(1.0, 1e-15); expect(intersection1.y).toEqualEpsilon(1.0, 1e-15); var intersection2 = Intersections2D.computeLineSegmentLineSegmentIntersection( 0.0, 0.0, 4.0, 3.0, 5.0, 0.0, 4.0, 3.0 ); expect(intersection2.x).toEqualEpsilon(4.0, 1e-15); expect(intersection2.y).toEqualEpsilon(3.0, 1e-15); }); it("returns undefined for non-intersecting lines", function () { var intersection0 = Intersections2D.computeLineSegmentLineSegmentIntersection( 0.0, 0.0, 0.0, 5.0, 0.1, 4.8, 5.0, 0.0 ); expect(intersection0).toBeUndefined(); var intersection1 = Intersections2D.computeLineSegmentLineSegmentIntersection( 10.0, 0.0, 0.0, -10.0, 0.0, 0.0, -8.0, -8.0 ); expect(intersection1).toBeUndefined(); }); it("returns undefined for parallel lines", function () { var intersection0 = Intersections2D.computeLineSegmentLineSegmentIntersection( 0.0, 0.0, 0.0, 2.0, 1.0, 1.0, 1.0, 4.0 ); expect(intersection0).toBeUndefined(); var intersection1 = Intersections2D.computeLineSegmentLineSegmentIntersection( 1.0, 1.0, 4.0, 4.0, 0.0, 0.0, 3.0, 3.0 ); expect(intersection1).toBeUndefined(); }); it("returns undefined for coincident lines", function () { var intersection0 = Intersections2D.computeLineSegmentLineSegmentIntersection( 0.0, 0.0, 0.0, 2.0, 0.0, 1.0, 0.0, 4.0 ); expect(intersection0).toBeUndefined(); var intersection1 = Intersections2D.computeLineSegmentLineSegmentIntersection( 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0 ); expect(intersection1).toBeUndefined(); }); }); });