// Copyright (c) 2015, Google Inc. Please see the AUTHORS file for details. // All rights reserved. Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file. import 'dart:typed_data'; import 'package:test/test.dart'; import 'package:vector_math/vector_math.dart'; import 'test_utils.dart'; void testAabb3ByteBufferInstanciation() { final buffer = Float32List.fromList([1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0]).buffer; final aabb = Aabb3.fromBuffer(buffer, 0); final aabbOffest = Aabb3.fromBuffer(buffer, Float32List.bytesPerElement); expect(aabb.min.x, equals(1.0)); expect(aabb.min.y, equals(2.0)); expect(aabb.min.z, equals(3.0)); expect(aabb.max.x, equals(4.0)); expect(aabb.max.y, equals(5.0)); expect(aabb.max.z, equals(6.0)); expect(aabbOffest.min.x, equals(2.0)); expect(aabbOffest.min.y, equals(3.0)); expect(aabbOffest.min.z, equals(4.0)); expect(aabbOffest.max.x, equals(5.0)); expect(aabbOffest.max.y, equals(6.0)); expect(aabbOffest.max.z, equals(7.0)); } void testAabb3Center() { final aabb = Aabb3.minMax($v3(1.0, 2.0, 4.0), $v3(8.0, 16.0, 32.0)); final center = aabb.center; expect(center.x, equals(4.5)); expect(center.y, equals(9.0)); expect(center.z, equals(18.0)); } void testAabb3CopyCenterAndHalfExtents() { final a1 = Aabb3.minMax($v3(10.0, 20.0, 30.0), $v3(20.0, 40.0, 60.0)); final a2 = Aabb3.minMax($v3(-10.0, -20.0, -30.0), $v3(0.0, 0.0, 0.0)); final center = Vector3.zero(); final halfExtents = Vector3.zero(); a1.copyCenterAndHalfExtents(center, halfExtents); relativeTest(center, $v3(15.0, 30.0, 45.0)); relativeTest(halfExtents, $v3(5.0, 10.0, 15.0)); a2.copyCenterAndHalfExtents(center, halfExtents); relativeTest(center, $v3(-5.0, -10.0, -15.0)); relativeTest(halfExtents, $v3(5.0, 10.0, 15.0)); } void testAabb3setCenterAndHalfExtents() { final a1 = Aabb3.centerAndHalfExtents($v3(0.0, 0.0, 0.0), $v3(10.0, 20.0, 30.0)); final a2 = Aabb3.centerAndHalfExtents( $v3(-10.0, -20.0, -30.0), $v3(10.0, 20.0, 30.0)); relativeTest(a1.min, $v3(-10.0, -20.0, -30.0)); relativeTest(a1.max, $v3(10.0, 20.0, 30.0)); relativeTest(a2.min, $v3(-20.0, -40.0, -60.0)); relativeTest(a2.max, $v3(0.0, 0.0, 0.0)); } void testAabb3setSphere() { final s = Sphere.centerRadius($v3(10.0, 20.0, 30.0), 10.0); final a = Aabb3.fromSphere(s); expect(a.intersectsWithVector3(a.center), isTrue); expect(a.intersectsWithVector3($v3(20.0, 20.0, 30.0)), isTrue); } void testAabb3setRay() { final r = Ray.originDirection($v3(1.0, 2.0, 3.0), $v3(1.0, 5.0, -1.0)..normalize()); final a = Aabb3.fromRay(r, 0.0, 10.0); expect(a.intersectsWithVector3(r.at(0.0)), isTrue); expect(a.intersectsWithVector3(r.at(10.0)), isTrue); } void testAabb3setTriangle() { final t = Triangle.points( $v3(2.0, 0.0, 0.0), $v3(0.0, 2.0, 0.0), $v3(0.0, 0.0, 2.0)); final a = Aabb3.fromTriangle(t); expect(a.intersectsWithVector3(t.point0), isTrue); expect(a.intersectsWithVector3(t.point1), isTrue); expect(a.intersectsWithVector3(t.point2), isTrue); } void testAabb3setQuad() { final q = Quad.points($v3(2.0, 0.0, 0.0), $v3(0.0, 2.0, 0.0), $v3(0.0, 0.0, 2.0), $v3(0.0, 0.0, -2.0)); final a = Aabb3.fromQuad(q); expect(a.intersectsWithVector3(q.point0), isTrue); expect(a.intersectsWithVector3(q.point1), isTrue); expect(a.intersectsWithVector3(q.point2), isTrue); expect(a.intersectsWithVector3(q.point3), isTrue); } void testAabb3ContainsAabb3() { final parent = Aabb3.minMax($v3(1.0, 1.0, 1.0), $v3(8.0, 8.0, 8.0)); final child = Aabb3.minMax($v3(2.0, 2.0, 2.0), $v3(7.0, 7.0, 7.0)); final cutting = Aabb3.minMax($v3(0.0, 0.0, 0.0), $v3(5.0, 5.0, 5.0)); final outside = Aabb3.minMax($v3(10.0, 10.0, 10.0), $v3(20.0, 20.0, 20.0)); final grandParent = Aabb3.minMax($v3(0.0, 0.0, 0.0), $v3(10.0, 10.0, 10.0)); expect(parent.containsAabb3(child), isTrue); expect(parent.containsAabb3(parent), isFalse); expect(parent.containsAabb3(cutting), isFalse); expect(parent.containsAabb3(outside), isFalse); expect(parent.containsAabb3(grandParent), isFalse); } void testAabb3ContainsSphere() { final parent = Aabb3.minMax($v3(1.0, 1.0, 1.0), $v3(8.0, 8.0, 8.0)); final child = Sphere.centerRadius($v3(3.0, 3.0, 3.0), 1.5); final cutting = Sphere.centerRadius($v3(0.0, 0.0, 0.0), 6.0); final outside = Sphere.centerRadius($v3(-10.0, -10.0, -10.0), 5.0); expect(parent.containsSphere(child), isTrue); expect(parent.containsSphere(cutting), isFalse); expect(parent.containsSphere(outside), isFalse); } void testAabb3ContainsVector3() { final parent = Aabb3.minMax($v3(1.0, 1.0, 1.0), $v3(8.0, 8.0, 8.0)); final child = $v3(7.0, 7.0, 7.0); final cutting = $v3(1.0, 2.0, 1.0); final outside = $v3(-10.0, 10.0, 10.0); expect(parent.containsVector3(child), isTrue); expect(parent.containsVector3(cutting), isFalse); expect(parent.containsVector3(outside), isFalse); } void testAabb3ContainsTriangle() { final parent = Aabb3.minMax($v3(1.0, 1.0, 1.0), $v3(8.0, 8.0, 8.0)); final child = Triangle.points( $v3(2.0, 2.0, 2.0), $v3(3.0, 3.0, 3.0), $v3(4.0, 4.0, 4.0)); final edge = Triangle.points( $v3(1.0, 1.0, 1.0), $v3(3.0, 3.0, 3.0), $v3(4.0, 4.0, 4.0)); final cutting = Triangle.points( $v3(2.0, 2.0, 2.0), $v3(3.0, 3.0, 3.0), $v3(14.0, 14.0, 14.0)); final outside = Triangle.points( $v3(0.0, 0.0, 0.0), $v3(-3.0, -3.0, -3.0), $v3(-4.0, -4.0, -4.0)); expect(parent.containsTriangle(child), isTrue); expect(parent.containsTriangle(edge), isFalse); expect(parent.containsTriangle(cutting), isFalse); expect(parent.containsTriangle(outside), isFalse); } void testAabb3IntersectionAabb3() { final parent = Aabb3.minMax($v3(1.0, 1.0, 1.0), $v3(8.0, 8.0, 8.0)); final child = Aabb3.minMax($v3(2.0, 2.0, 2.0), $v3(7.0, 7.0, 7.0)); final cutting = Aabb3.minMax($v3(0.0, 0.0, 0.0), $v3(5.0, 5.0, 5.0)); final outside = Aabb3.minMax($v3(10.0, 10.0, 10.0), $v3(20.0, 20.0, 10.0)); final grandParent = Aabb3.minMax($v3(0.0, 0.0, 0.0), $v3(10.0, 10.0, 10.0)); final siblingOne = Aabb3.minMax($v3(0.0, 0.0, 0.0), $v3(3.0, 3.0, 3.0)); final siblingTwo = Aabb3.minMax($v3(3.0, 0.0, 0.0), $v3(6.0, 3.0, 3.0)); final siblingThree = Aabb3.minMax($v3(3.0, 3.0, 3.0), $v3(6.0, 6.0, 6.0)); expect(parent.intersectsWithAabb3(child), isTrue); expect(child.intersectsWithAabb3(parent), isTrue); expect(parent.intersectsWithAabb3(parent), isTrue); expect(parent.intersectsWithAabb3(cutting), isTrue); expect(cutting.intersectsWithAabb3(parent), isTrue); expect(parent.intersectsWithAabb3(outside), isFalse); expect(outside.intersectsWithAabb3(parent), isFalse); expect(parent.intersectsWithAabb3(grandParent), isTrue); expect(grandParent.intersectsWithAabb3(parent), isTrue); expect(siblingOne.intersectsWithAabb3(siblingTwo), isTrue, reason: 'Touching edges are counted as intersection.'); expect(siblingOne.intersectsWithAabb3(siblingThree), isTrue, reason: 'Touching corners are counted as intersection.'); } void testAabb3IntersectionSphere() { final parent = Aabb3.minMax($v3(1.0, 1.0, 1.0), $v3(8.0, 8.0, 8.0)); final child = Sphere.centerRadius($v3(3.0, 3.0, 3.0), 1.5); final cutting = Sphere.centerRadius($v3(0.0, 0.0, 0.0), 6.0); final outside = Sphere.centerRadius($v3(-10.0, -10.0, -10.0), 5.0); expect(parent.intersectsWithSphere(child), isTrue); expect(parent.intersectsWithSphere(cutting), isTrue); expect(parent.intersectsWithSphere(outside), isFalse); } void testIntersectionTriangle() { final parent = Aabb3.minMax($v3(1.0, 1.0, 1.0), $v3(8.0, 8.0, 8.0)); final child = Triangle.points( $v3(2.0, 2.0, 2.0), $v3(3.0, 3.0, 3.0), $v3(4.0, 4.0, 4.0)); final edge = Triangle.points( $v3(1.0, 1.0, 1.0), $v3(3.0, 3.0, 3.0), $v3(4.0, 4.0, 4.0)); final cutting = Triangle.points( $v3(2.0, 2.0, 2.0), $v3(3.0, 3.0, 3.0), $v3(14.0, 14.0, 14.0)); final outside = Triangle.points( $v3(0.0, 0.0, 0.0), $v3(-3.0, -3.0, -3.0), $v3(-4.0, -4.0, -4.0)); expect(parent.intersectsWithTriangle(child), isTrue); expect(parent.intersectsWithTriangle(edge), isTrue); expect(parent.intersectsWithTriangle(cutting), isTrue); expect(parent.intersectsWithTriangle(outside), isFalse); // Special tests final testAabb = Aabb3.minMax( $v3(20.458911895751953, -36.607460021972656, 2.549999952316284), $v3(21.017810821533203, -36.192543029785156, 3.049999952316284)); final testTriangle = Triangle.points( $v3(20.5, -36.5, 3.5), $v3(21.5, -36.5, 2.5), $v3(20.5, -36.5, 2.5)); expect(testAabb.intersectsWithTriangle(testTriangle), isTrue); final aabb = Aabb3.minMax( $v3(19.07674217224121, -39.46818161010742, 2.299999952316284), $v3(19.40754508972168, -38.9503288269043, 2.799999952316284)); final triangle4 = Triangle.points( $v3(18.5, -39.5, 2.5), $v3(19.5, -39.5, 2.5), $v3(19.5, -38.5, 2.5)); final triangle4_1 = Triangle.points( $v3(19.5, -38.5, 2.5), $v3(19.5, -39.5, 2.5), $v3(18.5, -39.5, 2.5)); final triangle4_2 = Triangle.points( $v3(18.5, -39.5, 2.5), $v3(19.5, -38.5, 2.5), $v3(18.5, -38.5, 2.5)); final triangle4_3 = Triangle.points( $v3(18.5, -38.5, 2.5), $v3(19.5, -38.5, 2.5), $v3(18.5, -39.5, 2.5)); expect(aabb.intersectsWithTriangle(triangle4), isTrue); expect(aabb.intersectsWithTriangle(triangle4_1), isTrue); expect(aabb.intersectsWithTriangle(triangle4_2), isFalse); expect(aabb.intersectsWithTriangle(triangle4_3), isFalse); } void testIntersectionPlane() { final plane = Plane.normalconstant($v3(1.0, 0.0, 0.0), 10.0); final left = Aabb3.minMax($v3(-5.0, -5.0, -5.0), $v3(5.0, 5.0, 5.0)); final right = Aabb3.minMax($v3(15.0, 15.0, 15.0), $v3(30.0, 30.0, 30.0)); final intersect = Aabb3.minMax($v3(5.0, 5.0, 5.0), $v3(15.0, 15.0, 15.0)); expect(left.intersectsWithPlane(plane), isFalse); expect(right.intersectsWithPlane(plane), isFalse); final result = IntersectionResult(); expect(intersect.intersectsWithPlane(plane, result: result), isTrue); relativeError(result.axis, $v3(1.0, 0.0, 0.0)); expect(result.depth, equals(-5.0)); } void testAabb3IntersectionVector3() { final parent = Aabb3.minMax($v3(1.0, 1.0, 1.0), $v3(8.0, 8.0, 8.0)); final child = $v3(7.0, 7.0, 7.0); final cutting = $v3(1.0, 2.0, 1.0); final outside = $v3(-10.0, 10.0, 10.0); expect(parent.intersectsWithVector3(child), isTrue); expect(parent.intersectsWithVector3(cutting), isTrue); expect(parent.intersectsWithVector3(outside), isFalse); } void testAabb3Hull() { final a = Aabb3.minMax($v3(1.0, 1.0, 4.0), $v3(3.0, 4.0, 10.0)); final b = Aabb3.minMax($v3(3.0, 2.0, 3.0), $v3(6.0, 2.0, 8.0)); a.hull(b); expect(a.min.x, equals(1.0)); expect(a.min.y, equals(1.0)); expect(a.min.z, equals(3.0)); expect(a.max.x, equals(6.0)); expect(a.max.y, equals(4.0)); expect(a.max.z, equals(10.0)); } void testAabb3HullPoint() { final a = Aabb3.minMax($v3(1.0, 1.0, 4.0), $v3(3.0, 4.0, 10.0)); final b = $v3(6.0, 2.0, 8.0); a.hullPoint(b); expect(a.min.x, equals(1.0)); expect(a.min.y, equals(1.0)); expect(a.min.z, equals(4.0)); expect(a.max.x, equals(6.0)); expect(a.max.y, equals(4.0)); expect(a.max.z, equals(10.0)); final c = $v3(6.0, 0.0, 2.0); a.hullPoint(c); expect(a.min.x, equals(1.0)); expect(a.min.y, equals(0.0)); expect(a.min.z, equals(2.0)); expect(a.max.x, equals(6.0)); expect(a.max.y, equals(4.0)); expect(a.max.z, equals(10.0)); } void main() { group('Aabb3', () { test('ByteBuffer instanciation', testAabb3ByteBufferInstanciation); test('Center', testAabb3Center); test('copyCenterAndHalfExtents', testAabb3CopyCenterAndHalfExtents); test('copyCenterAndHalfExtents', testAabb3setCenterAndHalfExtents); test('setSphere', testAabb3setSphere); test('setRay', testAabb3setRay); test('setTriangle', testAabb3setTriangle); test('setQuad', testAabb3setQuad); test('Contains Aabb3', testAabb3ContainsAabb3); test('Contains Vector3', testAabb3ContainsVector3); test('Contains Triangle', testAabb3ContainsTriangle); test('Contains Sphere', testAabb3ContainsSphere); test('Intersection Aabb3', testAabb3IntersectionAabb3); test('Intersection Vector3', testAabb3IntersectionVector3); test('Intersection Sphere', testAabb3IntersectionSphere); test('Intersection Triangle', testIntersectionTriangle); test('Intersection Plane', testIntersectionPlane); test('Hull', testAabb3Hull); test('Hull Point', testAabb3HullPoint); }); }