JoltPhysics/UnitTests/Physics/ShapeTests.cpp

// Jolt Physics Library (https://github.com/jrouwe/JoltPhysics)
// SPDX-FileCopyrightText: 2021 Jorrit Rouwe
// SPDX-License-Identifier: MIT

#include "UnitTestFramework.h"
#include "PhysicsTestContext.h"
#include <Jolt/Physics/Collision/Shape/ConvexHullShape.h>
#include <Jolt/Physics/Collision/Shape/BoxShape.h>
#include <Jolt/Physics/Collision/Shape/SphereShape.h>
#include <Jolt/Physics/Collision/Shape/CapsuleShape.h>
#include <Jolt/Physics/Collision/Shape/TaperedCapsuleShape.h>
#include <Jolt/Physics/Collision/Shape/CylinderShape.h>
#include <Jolt/Physics/Collision/Shape/ScaledShape.h>
#include <Jolt/Physics/Collision/Shape/StaticCompoundShape.h>
#include <Jolt/Physics/Collision/Shape/MutableCompoundShape.h>
#include <Jolt/Physics/Collision/Shape/TriangleShape.h>
#include <Jolt/Physics/Collision/Shape/RotatedTranslatedShape.h>
#include <Jolt/Physics/Collision/Shape/HeightFieldShape.h>
#include <Jolt/Physics/Collision/Shape/MeshShape.h>
#include <Jolt/Physics/Collision/CollisionCollectorImpl.h>
#include <Jolt/Physics/Collision/CollidePointResult.h>
#include <Jolt/Physics/Collision/RayCast.h>
#include <Jolt/Physics/Collision/CastResult.h>
#include <Jolt/Core/StreamWrapper.h>

TEST_SUITE("ShapeTests")
{
	// Test convex hull shape
	TEST_CASE("TestConvexHullShape")
	{
		const float cDensity = 1.5f;

		// Create convex hull shape of a box
		Array<Vec3> box;
		box.push_back(Vec3(5, 6, 7));
		box.push_back(Vec3(5, 6, 14));
		box.push_back(Vec3(5, 12, 7));
		box.push_back(Vec3(5, 12, 14));
		box.push_back(Vec3(10, 6, 7));
		box.push_back(Vec3(10, 6, 14));
		box.push_back(Vec3(10, 12, 7));
		box.push_back(Vec3(10, 12, 14));
		ConvexHullShapeSettings settings(box);
		settings.SetDensity(cDensity);
		RefConst<Shape> shape = settings.Create().Get();

		// Validate calculated center of mass
		Vec3 com = shape->GetCenterOfMass();
		CHECK_APPROX_EQUAL(Vec3(7.5f, 9.0f, 10.5f), com, 1.0e-5f);

		// Calculate reference value of mass and inertia of a box
		MassProperties reference;
		reference.SetMassAndInertiaOfSolidBox(Vec3(5, 6, 7), cDensity);

		// Mass is easy to calculate, double check if SetMassAndInertiaOfSolidBox calculated it correctly
		CHECK_APPROX_EQUAL(5.0f * 6.0f * 7.0f * cDensity, reference.mMass, 1.0e-6f);

		// Get calculated inertia tensor
		MassProperties m = shape->GetMassProperties();
		CHECK_APPROX_EQUAL(reference.mMass, m.mMass, 1.0e-6f);
		CHECK_APPROX_EQUAL(reference.mInertia, m.mInertia, 1.0e-4f);

		// Check inner radius
		CHECK_APPROX_EQUAL(shape->GetInnerRadius(), 2.5f);
	}

	// Test inertia calculations for a capsule vs that of a convex hull of a capsule
	TEST_CASE("TestCapsuleVsConvexHullInertia")
	{
		const float half_height = 5.0f;
		const float radius = 3.0f;

		// Create a capsule
		CapsuleShape capsule(half_height, radius);
		capsule.SetDensity(7.0f);
		capsule.SetEmbedded();
		MassProperties mp_capsule = capsule.GetMassProperties();

		// Verify mass
		float mass_cylinder = 2.0f * half_height * JPH_PI * Square(radius) * capsule.GetDensity();
		float mass_sphere = 4.0f / 3.0f * JPH_PI * Cubed(radius) * capsule.GetDensity();
		CHECK_APPROX_EQUAL(mp_capsule.mMass, mass_cylinder + mass_sphere);

		// Extract support points
		ConvexShape::SupportBuffer buffer;
		const ConvexShape::Support *support = capsule.GetSupportFunction(ConvexShape::ESupportMode::IncludeConvexRadius, buffer, Vec3::sReplicate(1.0f));
		Array<Vec3> capsule_points;
		capsule_points.reserve(Vec3::sUnitSphere.size());
		for (const Vec3 &v : Vec3::sUnitSphere)
			capsule_points.push_back(support->GetSupport(v));

		// Create a convex hull using the support points
		ConvexHullShapeSettings capsule_hull(capsule_points);
		capsule_hull.SetDensity(capsule.GetDensity());
		RefConst<Shape> capsule_hull_shape = capsule_hull.Create().Get();
		MassProperties mp_capsule_hull = capsule_hull_shape->GetMassProperties();

		// Check that the mass and inertia of the convex hull match that of the capsule (within certain tolerance since the convex hull is an approximation)
		float mass_error = (mp_capsule_hull.mMass - mp_capsule.mMass) / mp_capsule.mMass;
		CHECK(mass_error > -0.05f);
		CHECK(mass_error < 0.0f); // Mass is smaller since the convex hull is smaller
		for (int i = 0; i < 3; ++i)
			for (int j = 0; j < 3; ++j)
			{
				if (i == j)
				{
					float inertia_error = (mp_capsule_hull.mInertia(i, j) - mp_capsule.mInertia(i, j)) / mp_capsule.mInertia(i, j);
					CHECK(inertia_error > -0.05f);
					CHECK(inertia_error < 0.0f); // Inertia is smaller since the convex hull is smaller
				}
				else
				{
					CHECK(mp_capsule.mInertia(i, j) == 0.0f);
					float scaled_inertia = mp_capsule_hull.mInertia(i, j) / mp_capsule_hull.mMass;
					CHECK_APPROX_EQUAL(scaled_inertia, 0.0f, 1.0e-3f);
				}
			}
	}

	// Test IsValidScale function
	TEST_CASE("TestIsValidScale")
	{
		constexpr float cMinScaleToleranceSq = Square(1.0e-6f * ScaleHelpers::cMinScale);

		// Test simple shapes
		Ref<Shape> sphere = new SphereShape(2.0f);
		CHECK(!sphere->IsValidScale(Vec3::sZero()));
		CHECK(sphere->IsValidScale(Vec3(2, 2, 2)));
		CHECK(sphere->IsValidScale(Vec3(-1, 1, -1)));
		CHECK(!sphere->IsValidScale(Vec3(2, 1, 1)));
		CHECK(!sphere->IsValidScale(Vec3(1, 2, 1)));
		CHECK(!sphere->IsValidScale(Vec3(1, 1, 2)));
		CHECK(sphere->MakeScaleValid(Vec3::sZero()).IsClose(Vec3::sReplicate(ScaleHelpers::cMinScale), cMinScaleToleranceSq)); // Averaging can cause a slight error
		CHECK(sphere->MakeScaleValid(Vec3(-2, 3, 4)) == Vec3(-3, 3, 3));

		Ref<Shape> capsule = new CapsuleShape(2.0f, 0.5f);
		CHECK(!capsule->IsValidScale(Vec3::sZero()));
		CHECK(!capsule->IsValidScale(Vec3(0, 1, 0)));
		CHECK(!capsule->IsValidScale(Vec3(1, 0, 1)));
		CHECK(capsule->IsValidScale(Vec3(2, 2, 2)));
		CHECK(capsule->IsValidScale(Vec3(-1, 1, -1)));
		CHECK(!capsule->IsValidScale(Vec3(2, 1, 1)));
		CHECK(!capsule->IsValidScale(Vec3(1, 2, 1)));
		CHECK(!capsule->IsValidScale(Vec3(1, 1, 2)));
		CHECK(capsule->MakeScaleValid(Vec3::sZero()).IsClose(Vec3::sReplicate(ScaleHelpers::cMinScale), cMinScaleToleranceSq));
		CHECK(capsule->MakeScaleValid(Vec3(-2, 3, 4)) == Vec3(-3, 3, 3));

		Ref<Shape> tapered_capsule = TaperedCapsuleShapeSettings(2.0f, 0.5f, 0.7f).Create().Get();
		CHECK(!tapered_capsule->IsValidScale(Vec3::sZero()));
		CHECK(tapered_capsule->IsValidScale(Vec3(2, 2, 2)));
		CHECK(tapered_capsule->IsValidScale(Vec3(-1, 1, -1)));
		CHECK(!tapered_capsule->IsValidScale(Vec3(2, 1, 1)));
		CHECK(!tapered_capsule->IsValidScale(Vec3(1, 2, 1)));
		CHECK(!tapered_capsule->IsValidScale(Vec3(1, 1, 2)));
		CHECK(tapered_capsule->MakeScaleValid(Vec3::sZero()).IsClose(Vec3::sReplicate(ScaleHelpers::cMinScale), cMinScaleToleranceSq));
		CHECK(tapered_capsule->MakeScaleValid(Vec3(2, -3, 4)) == Vec3(3, -3, 3));

		Ref<Shape> cylinder = new CylinderShape(0.5f, 2.0f);
		CHECK(!cylinder->IsValidScale(Vec3::sZero()));
		CHECK(!cylinder->IsValidScale(Vec3(0, 1, 0)));
		CHECK(!cylinder->IsValidScale(Vec3(1, 0, 1)));
		CHECK(cylinder->IsValidScale(Vec3(2, 2, 2)));
		CHECK(cylinder->IsValidScale(Vec3(-1, 1, -1)));
		CHECK(!cylinder->IsValidScale(Vec3(2, 1, 1)));
		CHECK(cylinder->IsValidScale(Vec3(1, 2, 1)));
		CHECK(!cylinder->IsValidScale(Vec3(1, 1, 2)));
		CHECK(cylinder->MakeScaleValid(Vec3::sZero()).IsClose(Vec3::sReplicate(ScaleHelpers::cMinScale), cMinScaleToleranceSq));
		CHECK(cylinder->MakeScaleValid(Vec3(-1.0e-10f, 1, 1.0e-10f)) == Vec3(-ScaleHelpers::cMinScale, 1, ScaleHelpers::cMinScale));
		CHECK(cylinder->MakeScaleValid(Vec3(2, 5, -4)) == Vec3(3, 5, -3));

		Ref<Shape> triangle = new TriangleShape(Vec3(1, 2, 3), Vec3(4, 5, 6), Vec3(7, 8, 9));
		CHECK(!triangle->IsValidScale(Vec3::sZero()));
		CHECK(!triangle->IsValidScale(Vec3::sAxisX()));
		CHECK(!triangle->IsValidScale(Vec3::sAxisY()));
		CHECK(!triangle->IsValidScale(Vec3::sAxisZ()));
		CHECK(triangle->IsValidScale(Vec3(2, 2, 2)));
		CHECK(triangle->IsValidScale(Vec3(-1, 1, -1)));
		CHECK(triangle->IsValidScale(Vec3(2, 1, 1)));
		CHECK(triangle->IsValidScale(Vec3(1, 2, 1)));
		CHECK(triangle->IsValidScale(Vec3(1, 1, 2)));
		CHECK(triangle->MakeScaleValid(Vec3::sZero()).IsClose(Vec3::sReplicate(ScaleHelpers::cMinScale), cMinScaleToleranceSq));
		CHECK(triangle->MakeScaleValid(Vec3(2, 5, -4)) == Vec3(2, 5, -4));

		Ref<Shape> triangle2 = new TriangleShape(Vec3(1, 2, 3), Vec3(4, 5, 6), Vec3(7, 8, 9), 0.01f); // With convex radius
		CHECK(!triangle2->IsValidScale(Vec3::sZero()));
		CHECK(!triangle2->IsValidScale(Vec3::sAxisX()));
		CHECK(!triangle2->IsValidScale(Vec3::sAxisY()));
		CHECK(!triangle2->IsValidScale(Vec3::sAxisZ()));
		CHECK(triangle2->IsValidScale(Vec3(2, 2, 2)));
		CHECK(triangle2->IsValidScale(Vec3(-1, 1, -1)));
		CHECK(!triangle2->IsValidScale(Vec3(2, 1, 1)));
		CHECK(!triangle2->IsValidScale(Vec3(1, 2, 1)));
		CHECK(!triangle2->IsValidScale(Vec3(1, 1, 2)));
		CHECK(triangle2->MakeScaleValid(Vec3::sZero()).IsClose(Vec3::sReplicate(ScaleHelpers::cMinScale), cMinScaleToleranceSq));
		CHECK(triangle2->MakeScaleValid(Vec3(2, 6, -4)) == Vec3(4, 4, -4));

		Ref<Shape> scaled = new ScaledShape(sphere, Vec3(1, 2, 1));
		CHECK(!scaled->IsValidScale(Vec3::sZero()));
		CHECK(!scaled->IsValidScale(Vec3(1, 1, 1)));
		CHECK(scaled->IsValidScale(Vec3(1, 0.5f, 1)));
		CHECK(scaled->IsValidScale(Vec3(-1, 0.5f, 1)));
		CHECK(!scaled->IsValidScale(Vec3(2, 1, 1)));
		CHECK(!scaled->IsValidScale(Vec3(1, 2, 1)));
		CHECK(!scaled->IsValidScale(Vec3(1, 1, 2)));
		CHECK(scaled->MakeScaleValid(Vec3(3, 3, 3)) == Vec3(4, 2, 4));
		CHECK(scaled->MakeScaleValid(Vec3(4, 2, 4)) == Vec3(4, 2, 4));

		Ref<Shape> scaled2 = new ScaledShape(scaled, Vec3(1, 0.5f, 1));
		CHECK(!scaled2->IsValidScale(Vec3::sZero()));
		CHECK(scaled2->IsValidScale(Vec3(2, 2, 2)));
		CHECK(scaled2->IsValidScale(Vec3(-1, 1, -1)));
		CHECK(!scaled2->IsValidScale(Vec3(2, 1, 1)));
		CHECK(!scaled2->IsValidScale(Vec3(1, 2, 1)));
		CHECK(!scaled2->IsValidScale(Vec3(1, 1, 2)));
		CHECK(scaled2->MakeScaleValid(Vec3(3, 3, 3)) == Vec3(3, 3, 3));
		CHECK(scaled2->MakeScaleValid(Vec3(5, 2, 5)) == Vec3(4, 4, 4));

		// Test a compound with shapes that can only be scaled uniformly
		StaticCompoundShapeSettings compound_settings;
		compound_settings.AddShape(Vec3(1, 2, 3), Quat::sRotation(Vec3::sAxisX(), 0.1f * JPH_PI), sphere);
		compound_settings.AddShape(Vec3(4, 5, 6), Quat::sRotation(Vec3::sAxisY(), 0.1f * JPH_PI), capsule);
		Ref<Shape> compound = compound_settings.Create().Get();
		CHECK(!compound->IsValidScale(Vec3::sZero()));
		CHECK(compound->IsValidScale(Vec3(1, 1, 1)));
		CHECK(compound->IsValidScale(Vec3(2, 2, 2)));
		CHECK(!compound->IsValidScale(Vec3(2, 1, 1)));
		CHECK(!compound->IsValidScale(Vec3(1, 2, 1)));
		CHECK(!compound->IsValidScale(Vec3(1, 1, 2)));

		// Test compound containing a triangle shape that can be scaled in any way
		StaticCompoundShapeSettings compound_settings2;
		compound_settings2.AddShape(Vec3(1, 2, 3), Quat::sIdentity(), triangle);
		compound_settings2.AddShape(Vec3(4, 5, 6), Quat::sIdentity(), new ScaledShape(triangle, Vec3(10, 11, 12)));
		Ref<Shape> compound2 = compound_settings2.Create().Get();
		CHECK(!compound2->IsValidScale(Vec3::sZero()));
		CHECK(compound2->IsValidScale(Vec3(1, 1, 1)));
		CHECK(compound2->IsValidScale(Vec3(2, 2, 2)));
		CHECK(compound2->IsValidScale(Vec3(2, 1, 1)));
		CHECK(compound2->IsValidScale(Vec3(1, 2, 1)));
		CHECK(compound2->IsValidScale(Vec3(1, 1, 2)));

		// Test rotations inside the compound of 90 degrees
		StaticCompoundShapeSettings compound_settings3;
		compound_settings3.AddShape(Vec3(1, 2, 3), Quat::sRotation(Vec3::sAxisZ(), -0.5f * JPH_PI), triangle);
		compound_settings3.AddShape(Vec3(4, 5, 6), Quat::sRotation(Vec3::sAxisZ(), 0.5f * JPH_PI), new ScaledShape(triangle, Vec3(10, 11, 12)));
		Ref<Shape> compound3 = compound_settings3.Create().Get();
		CHECK(!compound3->IsValidScale(Vec3::sZero()));
		CHECK(compound3->IsValidScale(Vec3(1, 1, 1)));
		CHECK(compound3->IsValidScale(Vec3(2, 2, 2)));
		CHECK(compound3->IsValidScale(Vec3(2, 1, 1)));
		CHECK(compound3->IsValidScale(Vec3(1, 2, 1)));
		CHECK(compound3->IsValidScale(Vec3(1, 1, 2)));

		// Test non-90 degree rotations, this would cause shearing so is not allowed (we can't express that by passing a diagonal scale vector)
		StaticCompoundShapeSettings compound_settings4;
		compound_settings4.AddShape(Vec3(1, 2, 3), Quat::sRotation(Vec3::sAxisZ(), 0.25f * JPH_PI), triangle);
		compound_settings4.AddShape(Vec3(1, 2, 3), Quat::sRotation(Vec3::sAxisZ(), -0.25f * JPH_PI), triangle);
		Ref<Shape> compound4 = compound_settings4.Create().Get();
		CHECK(!compound4->IsValidScale(Vec3::sZero()));
		CHECK(compound4->IsValidScale(Vec3(1, 1, 1)));
		CHECK(compound4->IsValidScale(Vec3(2, 2, 2)));
		CHECK(!compound4->IsValidScale(Vec3(2, 1, 1)));
		CHECK(!compound4->IsValidScale(Vec3(1, 2, 1)));
		CHECK(compound4->IsValidScale(Vec3(1, 1, 2))); // We're rotation around Z, so non-uniform in the Z direction is ok

		// Test a mutable compound with shapes that can only be scaled uniformly
		MutableCompoundShapeSettings mutable_compound_settings;
		mutable_compound_settings.AddShape(Vec3(1, 2, 3), Quat::sRotation(Vec3::sAxisX(), 0.1f * JPH_PI), sphere);
		mutable_compound_settings.AddShape(Vec3(4, 5, 6), Quat::sRotation(Vec3::sAxisY(), 0.1f * JPH_PI), capsule);
		Ref<Shape> mutable_compound = mutable_compound_settings.Create().Get();
		CHECK(!mutable_compound->IsValidScale(Vec3::sZero()));
		CHECK(mutable_compound->IsValidScale(Vec3(1, 1, 1)));
		CHECK(mutable_compound->IsValidScale(Vec3(2, 2, 2)));
		CHECK(!mutable_compound->IsValidScale(Vec3(2, 1, 1)));
		CHECK(!mutable_compound->IsValidScale(Vec3(1, 2, 1)));
		CHECK(!mutable_compound->IsValidScale(Vec3(1, 1, 2)));

		// Test mutable compound containing a triangle shape that can be scaled in any way
		MutableCompoundShapeSettings mutable_compound_settings2;
		mutable_compound_settings2.AddShape(Vec3(1, 2, 3), Quat::sIdentity(), triangle);
		mutable_compound_settings2.AddShape(Vec3(4, 5, 6), Quat::sIdentity(), new ScaledShape(triangle, Vec3(10, 11, 12)));
		Ref<Shape> mutable_compound2 = mutable_compound_settings2.Create().Get();
		CHECK(!mutable_compound2->IsValidScale(Vec3::sZero()));
		CHECK(mutable_compound2->IsValidScale(Vec3(1, 1, 1)));
		CHECK(mutable_compound2->IsValidScale(Vec3(2, 2, 2)));
		CHECK(mutable_compound2->IsValidScale(Vec3(2, 1, 1)));
		CHECK(mutable_compound2->IsValidScale(Vec3(1, 2, 1)));
		CHECK(mutable_compound2->IsValidScale(Vec3(1, 1, 2)));

		// Test rotations inside the mutable compound of 90 degrees
		MutableCompoundShapeSettings mutable_compound_settings3;
		mutable_compound_settings3.AddShape(Vec3(1, 2, 3), Quat::sRotation(Vec3::sAxisZ(), -0.5f * JPH_PI), triangle);
		mutable_compound_settings3.AddShape(Vec3(4, 5, 6), Quat::sRotation(Vec3::sAxisZ(), 0.5f * JPH_PI), new ScaledShape(triangle, Vec3(10, 11, 12)));
		Ref<Shape> mutable_compound3 = mutable_compound_settings3.Create().Get();
		CHECK(!mutable_compound3->IsValidScale(Vec3::sZero()));
		CHECK(mutable_compound3->IsValidScale(Vec3(1, 1, 1)));
		CHECK(mutable_compound3->IsValidScale(Vec3(2, 2, 2)));
		CHECK(mutable_compound3->IsValidScale(Vec3(2, 1, 1)));
		CHECK(mutable_compound3->IsValidScale(Vec3(1, 2, 1)));
		CHECK(mutable_compound3->IsValidScale(Vec3(1, 1, 2)));

		// Test non-90 degree rotations, this would cause shearing so is not allowed (we can't express that by passing a diagonal scale vector)
		MutableCompoundShapeSettings mutable_compound_settings4;
		mutable_compound_settings4.AddShape(Vec3(1, 2, 3), Quat::sRotation(Vec3::sAxisZ(), 0.25f * JPH_PI), triangle);
		mutable_compound_settings4.AddShape(Vec3(1, 2, 3), Quat::sRotation(Vec3::sAxisZ(), -0.25f * JPH_PI), triangle);
		Ref<Shape> mutable_compound4 = mutable_compound_settings4.Create().Get();
		CHECK(!mutable_compound4->IsValidScale(Vec3::sZero()));
		CHECK(mutable_compound4->IsValidScale(Vec3(1, 1, 1)));
		CHECK(mutable_compound4->IsValidScale(Vec3(2, 2, 2)));
		CHECK(!mutable_compound4->IsValidScale(Vec3(2, 1, 1)));
		CHECK(!mutable_compound4->IsValidScale(Vec3(1, 2, 1)));
		CHECK(mutable_compound4->IsValidScale(Vec3(1, 1, 2))); // We're rotation around Z, so non-uniform in the Z direction is ok

		// Test a cylinder rotated by 90 degrees around Z rotating Y to X, meaning that Y and Z should be scaled uniformly
		MutableCompoundShapeSettings mutable_compound_settings5;
		mutable_compound_settings5.AddShape(Vec3(1, 2, 3), Quat::sRotation(Vec3::sAxisZ(), -0.5f * JPH_PI), new CylinderShape(1.0f, 0.5f));
		Ref<Shape> mutable_compound5 = mutable_compound_settings5.Create().Get();
		CHECK(mutable_compound5->IsValidScale(Vec3::sReplicate(2)));
		CHECK(mutable_compound5->IsValidScale(Vec3(1, 2, 2)));
		CHECK(mutable_compound5->IsValidScale(Vec3(1, 2, -2)));
		CHECK(!mutable_compound5->IsValidScale(Vec3(2, 1, 2)));
		CHECK(!mutable_compound5->IsValidScale(Vec3(2, 2, 1)));
		CHECK(mutable_compound5->MakeScaleValid(Vec3::sReplicate(2)).IsClose(Vec3::sReplicate(2)));
		CHECK(mutable_compound5->MakeScaleValid(Vec3::sReplicate(-2)).IsClose(Vec3::sReplicate(-2)));
		CHECK(mutable_compound5->MakeScaleValid(Vec3(1, 2, 2)).IsClose(Vec3(1, 2, 2)));
		CHECK(mutable_compound5->MakeScaleValid(Vec3(1, 2, -2)).IsClose(Vec3(1, 2, -2)));
		CHECK(mutable_compound5->MakeScaleValid(Vec3(2, 1, 2)).IsClose(Vec3::sReplicate(5.0f / 3.0f))); // Not the best solution, but we don't have logic to average over YZ only
		CHECK(mutable_compound5->MakeScaleValid(Vec3(2, 2, 1)).IsClose(Vec3::sReplicate(5.0f / 3.0f))); // Not the best solution, but we don't have logic to average over YZ only

		// Test a rotated translated shape that can only be scaled uniformly
		RotatedTranslatedShapeSettings rt_settings(Vec3(1, 2, 3), Quat::sRotation(Vec3::sAxisX(), 0.1f * JPH_PI), sphere);
		Ref<Shape> rt_shape = rt_settings.Create().Get();
		CHECK(!rt_shape->IsValidScale(Vec3::sZero()));
		CHECK(rt_shape->IsValidScale(Vec3(1, 1, 1)));
		CHECK(rt_shape->IsValidScale(Vec3(2, 2, 2)));
		CHECK(!rt_shape->IsValidScale(Vec3(2, 1, 1)));
		CHECK(!rt_shape->IsValidScale(Vec3(1, 2, 1)));
		CHECK(!rt_shape->IsValidScale(Vec3(1, 1, 2)));

		// Test rotated translated shape containing a triangle shape that can be scaled in any way
		RotatedTranslatedShapeSettings rt_settings2(Vec3(4, 5, 6), Quat::sIdentity(), new ScaledShape(triangle, Vec3(10, 11, 12)));
		Ref<Shape> rt_shape2 = rt_settings2.Create().Get();
		CHECK(!rt_shape2->IsValidScale(Vec3::sZero()));
		CHECK(rt_shape2->IsValidScale(Vec3(1, 1, 1)));
		CHECK(rt_shape2->IsValidScale(Vec3(2, 2, 2)));
		CHECK(rt_shape2->IsValidScale(Vec3(2, 1, 1)));
		CHECK(rt_shape2->IsValidScale(Vec3(1, 2, 1)));
		CHECK(rt_shape2->IsValidScale(Vec3(1, 1, 2)));

		// Test rotations inside the rotated translated of 90 degrees
		RotatedTranslatedShapeSettings rt_settings3(Vec3(1, 2, 3), Quat::sRotation(Vec3::sAxisZ(), -0.5f * JPH_PI), triangle);
		Ref<Shape> rt_shape3 = rt_settings3.Create().Get();
		CHECK(!rt_shape3->IsValidScale(Vec3::sZero()));
		CHECK(rt_shape3->IsValidScale(Vec3(1, 1, 1)));
		CHECK(rt_shape3->IsValidScale(Vec3(2, 2, 2)));
		CHECK(rt_shape3->IsValidScale(Vec3(2, 1, 1)));
		CHECK(rt_shape3->IsValidScale(Vec3(1, 2, 1)));
		CHECK(rt_shape3->IsValidScale(Vec3(1, 1, 2)));

		// Test non-90 degree rotations, this would cause shearing so is not allowed (we can't express that by passing a diagonal scale vector)
		RotatedTranslatedShapeSettings rt_settings4(Vec3(1, 2, 3), Quat::sRotation(Vec3::sAxisZ(), 0.25f * JPH_PI), triangle);
		Ref<Shape> rt_shape4 = rt_settings4.Create().Get();
		CHECK(!rt_shape4->IsValidScale(Vec3::sZero()));
		CHECK(rt_shape4->IsValidScale(Vec3(1, 1, 1)));
		CHECK(rt_shape4->IsValidScale(Vec3(2, 2, 2)));
		CHECK(!rt_shape4->IsValidScale(Vec3(2, 1, 1)));
		CHECK(!rt_shape4->IsValidScale(Vec3(1, 2, 1)));
		CHECK(rt_shape4->IsValidScale(Vec3(1, 1, 2))); // We're rotation around Z, so non-uniform in the Z direction is ok

		// Test a cylinder rotated by 90 degrees around Z rotating Y to X, meaning that Y and Z should be scaled uniformly
		RotatedTranslatedShapeSettings rt_settings5(Vec3(1, 2, 3), Quat::sRotation(Vec3::sAxisZ(), -0.5f * JPH_PI), new CylinderShape(1.0f, 0.5f));
		Ref<Shape> rt_shape5 = rt_settings5.Create().Get();
		CHECK(rt_shape5->IsValidScale(Vec3::sReplicate(2)));
		CHECK(rt_shape5->IsValidScale(Vec3(1, 2, 2)));
		CHECK(rt_shape5->IsValidScale(Vec3(1, 2, -2)));
		CHECK(!rt_shape5->IsValidScale(Vec3(2, 1, 2)));
		CHECK(!rt_shape5->IsValidScale(Vec3(2, 2, 1)));
		CHECK(rt_shape5->MakeScaleValid(Vec3::sReplicate(2)).IsClose(Vec3::sReplicate(2)));
		CHECK(rt_shape5->MakeScaleValid(Vec3::sReplicate(-2)).IsClose(Vec3::sReplicate(-2)));
		CHECK(rt_shape5->MakeScaleValid(Vec3(1, 2, 2)).IsClose(Vec3(1, 2, 2)));
		CHECK(rt_shape5->MakeScaleValid(Vec3(1, 2, -2)).IsClose(Vec3(1, 2, -2)));
		CHECK(rt_shape5->MakeScaleValid(Vec3(2, 1, 2)).IsClose(Vec3(2, 1.5f, 1.5f))); // YZ will be averaged here
		CHECK(rt_shape5->MakeScaleValid(Vec3(2, 2, 1)).IsClose(Vec3(2, 1.5f, 1.5f))); // YZ will be averaged here
	}

	// Test embedded shape
	TEST_CASE("TestEmbeddedShape")
	{
		{
			// Test shape constructed on stack, where shape construction succeeds
			ConvexHullShapeSettings settings;
			settings.mPoints.push_back(Vec3(0, 0, 0));
			settings.mPoints.push_back(Vec3(1, 0, 0));
			settings.mPoints.push_back(Vec3(0, 1, 0));
			settings.mPoints.push_back(Vec3(0, 0, 1));
			Shape::ShapeResult result;
			ConvexHullShape shape(settings, result);
			shape.SetEmbedded();
			CHECK(result.IsValid());
			result.Clear(); // Release the reference from the result

			// Test CollidePoint for this shape
			AllHitCollisionCollector<CollidePointCollector> collector;
			shape.CollidePoint(Vec3::sReplicate(-0.1f) - shape.GetCenterOfMass(), SubShapeIDCreator(), collector);
			CHECK(collector.mHits.empty());
			shape.CollidePoint(Vec3::sReplicate(0.1f) - shape.GetCenterOfMass(), SubShapeIDCreator(), collector);
			CHECK(collector.mHits.size() == 1);
		}

		{
			// Test shape constructed on stack, where shape construction fails
			ConvexHullShapeSettings settings;
			Shape::ShapeResult result;
			ConvexHullShape shape(settings, result);
			shape.SetEmbedded();
			CHECK(!result.IsValid());
		}
	}

	// Test re-creating shape using the same settings object
	TEST_CASE("TestClearCachedResult")
	{
		// Create a sphere and check radius
		SphereShapeSettings sphere_settings(1.0f);
		RefConst<SphereShape> sphere1 = StaticCast<SphereShape>(sphere_settings.Create().Get());
		CHECK(sphere1->GetRadius() == 1.0f);

		// Modify radius and check that creating the shape again returns the cached result
		sphere_settings.mRadius = 2.0f;
		RefConst<SphereShape> sphere2 = StaticCast<SphereShape>(sphere_settings.Create().Get());
		CHECK(sphere2 == sphere1);

		sphere_settings.ClearCachedResult();
		RefConst<SphereShape> sphere3 = StaticCast<SphereShape>(sphere_settings.Create().Get());
		CHECK(sphere3->GetRadius() == 2.0f);
	}

	// Test submerged volume calculation
	TEST_CASE("TestGetSubmergedVolume")
	{
		Ref<BoxShape> box = new BoxShape(Vec3(1, 2, 3));
		Vec3 scale(2, -3, 4);
		Mat44 translation = Mat44::sTranslation(Vec3(0, 6, 0)); // Translate so we're on the y = 0 plane

		// Plane pointing positive Y
		// Entirely above the plane
		{
			float total_volume, submerged_volume;
			Vec3 center_of_buoyancy;
			box->GetSubmergedVolume(translation, scale, Plane::sFromPointAndNormal(Vec3(0, -0.001f, 0), Vec3::sAxisY()), total_volume, submerged_volume, center_of_buoyancy JPH_IF_DEBUG_RENDERER(, RVec3::sZero()));
			CHECK_APPROX_EQUAL(total_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(submerged_volume, 0.0f);
		}

		// Entirely below the plane
		{
			float total_volume, submerged_volume;
			Vec3 center_of_buoyancy;
			box->GetSubmergedVolume(translation, scale, Plane::sFromPointAndNormal(Vec3(0, 12.001f, 0), Vec3::sAxisY()), total_volume, submerged_volume, center_of_buoyancy JPH_IF_DEBUG_RENDERER(, RVec3::sZero()));
			CHECK_APPROX_EQUAL(total_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(submerged_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(center_of_buoyancy, Vec3(0, 6, 0));
		}

		// Halfway through
		{
			float total_volume, submerged_volume;
			Vec3 center_of_buoyancy;
			box->GetSubmergedVolume(translation, scale, Plane::sFromPointAndNormal(Vec3(0, 6.0f, 0), Vec3::sAxisY()), total_volume, submerged_volume, center_of_buoyancy JPH_IF_DEBUG_RENDERER(, RVec3::sZero()));
			CHECK_APPROX_EQUAL(total_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(submerged_volume, 4.0f * 6.0f * 24.0f);
			CHECK_APPROX_EQUAL(center_of_buoyancy, Vec3(0, 3, 0));
		}

		// Plane pointing negative Y
		// Entirely above the plane
		{
			float total_volume, submerged_volume;
			Vec3 center_of_buoyancy;
			box->GetSubmergedVolume(translation, scale, Plane::sFromPointAndNormal(Vec3(-4, 12.001f, 0), -Vec3::sAxisY()), total_volume, submerged_volume, center_of_buoyancy JPH_IF_DEBUG_RENDERER(, RVec3::sZero()));
			CHECK_APPROX_EQUAL(total_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(submerged_volume, 0.0f);
		}

		// Entirely below the plane
		{
			float total_volume, submerged_volume;
			Vec3 center_of_buoyancy;
			box->GetSubmergedVolume(translation, scale, Plane::sFromPointAndNormal(Vec3(0, -0.001f, 0), -Vec3::sAxisY()), total_volume, submerged_volume, center_of_buoyancy JPH_IF_DEBUG_RENDERER(, RVec3::sZero()));
			CHECK_APPROX_EQUAL(total_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(submerged_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(center_of_buoyancy, Vec3(0, 6, 0));
		}

		// Halfway through
		{
			float total_volume, submerged_volume;
			Vec3 center_of_buoyancy;
			box->GetSubmergedVolume(translation, scale, Plane::sFromPointAndNormal(Vec3(0, 6.0f, 0), -Vec3::sAxisY()), total_volume, submerged_volume, center_of_buoyancy JPH_IF_DEBUG_RENDERER(, RVec3::sZero()));
			CHECK_APPROX_EQUAL(total_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(submerged_volume, 4.0f * 6.0f * 24.0f);
			CHECK_APPROX_EQUAL(center_of_buoyancy, Vec3(0, 9, 0));
		}

		// Plane pointing positive X
		// Entirely above the plane
		{
			float total_volume, submerged_volume;
			Vec3 center_of_buoyancy;
			box->GetSubmergedVolume(translation, scale, Plane::sFromPointAndNormal(Vec3(-2.001f, 0, 0), Vec3::sAxisX()), total_volume, submerged_volume, center_of_buoyancy JPH_IF_DEBUG_RENDERER(, RVec3::sZero()));
			CHECK_APPROX_EQUAL(total_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(submerged_volume, 0.0f);
		}

		// Entirely below the plane
		{
			float total_volume, submerged_volume;
			Vec3 center_of_buoyancy;
			box->GetSubmergedVolume(translation, scale, Plane::sFromPointAndNormal(Vec3(2.001f, 0, 0), Vec3::sAxisX()), total_volume, submerged_volume, center_of_buoyancy JPH_IF_DEBUG_RENDERER(, RVec3::sZero()));
			CHECK_APPROX_EQUAL(total_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(submerged_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(center_of_buoyancy, Vec3(0, 6, 0));
		}

		// Halfway through
		{
			float total_volume, submerged_volume;
			Vec3 center_of_buoyancy;
			box->GetSubmergedVolume(translation, scale, Plane::sFromPointAndNormal(Vec3(0, 0, 0), Vec3::sAxisX()), total_volume, submerged_volume, center_of_buoyancy JPH_IF_DEBUG_RENDERER(, RVec3::sZero()));
			CHECK_APPROX_EQUAL(total_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(submerged_volume, 2.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(center_of_buoyancy, Vec3(-1, 6, 0));
		}

		// Plane pointing negative X
		// Entirely above the plane
		{
			float total_volume, submerged_volume;
			Vec3 center_of_buoyancy;
			box->GetSubmergedVolume(translation, scale, Plane::sFromPointAndNormal(Vec3(2.001f, 0, 0), -Vec3::sAxisX()), total_volume, submerged_volume, center_of_buoyancy JPH_IF_DEBUG_RENDERER(, RVec3::sZero()));
			CHECK_APPROX_EQUAL(total_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(submerged_volume, 0.0f);
		}

		// Entirely below the plane
		{
			float total_volume, submerged_volume;
			Vec3 center_of_buoyancy;
			box->GetSubmergedVolume(translation, scale, Plane::sFromPointAndNormal(Vec3(-2.001f, 0, 0), -Vec3::sAxisX()), total_volume, submerged_volume, center_of_buoyancy JPH_IF_DEBUG_RENDERER(, RVec3::sZero()));
			CHECK_APPROX_EQUAL(total_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(submerged_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(center_of_buoyancy, Vec3(0, 6, 0));
		}

		// Halfway through
		{
			float total_volume, submerged_volume;
			Vec3 center_of_buoyancy;
			box->GetSubmergedVolume(translation, scale, Plane::sFromPointAndNormal(Vec3(0, 0, 0), -Vec3::sAxisX()), total_volume, submerged_volume, center_of_buoyancy JPH_IF_DEBUG_RENDERER(, RVec3::sZero()));
			CHECK_APPROX_EQUAL(total_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(submerged_volume, 2.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(center_of_buoyancy, Vec3(1, 6, 0));
		}

		// Plane pointing positive Z
		// Entirely above the plane
		{
			float total_volume, submerged_volume;
			Vec3 center_of_buoyancy;
			box->GetSubmergedVolume(translation, scale, Plane::sFromPointAndNormal(Vec3(0, 0, -12.001f), Vec3::sAxisZ()), total_volume, submerged_volume, center_of_buoyancy JPH_IF_DEBUG_RENDERER(, RVec3::sZero()));
			CHECK_APPROX_EQUAL(total_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(submerged_volume, 0.0f);
		}

		// Entirely below the plane
		{
			float total_volume, submerged_volume;
			Vec3 center_of_buoyancy;
			box->GetSubmergedVolume(translation, scale, Plane::sFromPointAndNormal(Vec3(0, 0, 12.001f), Vec3::sAxisZ()), total_volume, submerged_volume, center_of_buoyancy JPH_IF_DEBUG_RENDERER(, RVec3::sZero()));
			CHECK_APPROX_EQUAL(total_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(submerged_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(center_of_buoyancy, Vec3(0, 6, 0));
		}

		// Halfway through
		{
			float total_volume, submerged_volume;
			Vec3 center_of_buoyancy;
			box->GetSubmergedVolume(translation, scale, Plane::sFromPointAndNormal(Vec3(0, 0, 0), Vec3::sAxisZ()), total_volume, submerged_volume, center_of_buoyancy JPH_IF_DEBUG_RENDERER(, RVec3::sZero()));
			CHECK_APPROX_EQUAL(total_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(submerged_volume, 4.0f * 12.0f * 12.0f);
			CHECK_APPROX_EQUAL(center_of_buoyancy, Vec3(0, 6, -6));
		}

		// Plane pointing negative Z
		// Entirely above the plane
		{
			float total_volume, submerged_volume;
			Vec3 center_of_buoyancy;
			box->GetSubmergedVolume(translation, scale, Plane::sFromPointAndNormal(Vec3(0, 0, 12.001f), -Vec3::sAxisZ()), total_volume, submerged_volume, center_of_buoyancy JPH_IF_DEBUG_RENDERER(, RVec3::sZero()));
			CHECK_APPROX_EQUAL(total_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(submerged_volume, 0.0f);
		}

		// Entirely below the plane
		{
			float total_volume, submerged_volume;
			Vec3 center_of_buoyancy;
			box->GetSubmergedVolume(translation, scale, Plane::sFromPointAndNormal(Vec3(0, 0, -12.001f), -Vec3::sAxisZ()), total_volume, submerged_volume, center_of_buoyancy JPH_IF_DEBUG_RENDERER(, RVec3::sZero()));
			CHECK_APPROX_EQUAL(total_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(submerged_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(center_of_buoyancy, Vec3(0, 6, 0));
		}

		// Halfway through
		{
			float total_volume, submerged_volume;
			Vec3 center_of_buoyancy;
			box->GetSubmergedVolume(translation, scale, Plane::sFromPointAndNormal(Vec3(0, 0, 0), -Vec3::sAxisZ()), total_volume, submerged_volume, center_of_buoyancy JPH_IF_DEBUG_RENDERER(, RVec3::sZero()));
			CHECK_APPROX_EQUAL(total_volume, 4.0f * 12.0f * 24.0f);
			CHECK_APPROX_EQUAL(submerged_volume, 4.0f * 12.0f * 12.0f);
			CHECK_APPROX_EQUAL(center_of_buoyancy, Vec3(0, 6, 6));
		}
	}

	// Test setting user data on shapes
	TEST_CASE("TestShapeUserData")
	{
		const float cRadius = 2.0f;

		// Create a sphere with user data
		SphereShapeSettings sphere_settings(cRadius);
		sphere_settings.mUserData = 0x1234567887654321;
		Ref<Shape> sphere = sphere_settings.Create().Get();
		CHECK(sphere->GetUserData() == 0x1234567887654321);

		// Change the user data
		sphere->SetUserData(0x5678123443218765);
		CHECK(sphere->GetUserData() == 0x5678123443218765);

		stringstream data;

		// Write sphere to a binary stream
		{
			StreamOutWrapper stream_out(data);
			sphere->SaveBinaryState(stream_out);
		}

		// Destroy the sphere
		sphere = nullptr;

		// Read sphere from binary stream
		{
			StreamInWrapper stream_in(data);
			sphere = Shape::sRestoreFromBinaryState(stream_in).Get();
		}

		// Check that the sphere and its user data was preserved
		CHECK(sphere->GetType() == EShapeType::Convex);
		CHECK(sphere->GetSubType() == EShapeSubType::Sphere);
		CHECK(sphere->GetUserData() == 0x5678123443218765);
		CHECK(StaticCast<SphereShape>(sphere)->GetRadius() == cRadius);
	}

	// Test setting user data on shapes
	TEST_CASE("TestIsValidSubShapeID")
	{
		MutableCompoundShapeSettings shape1_settings;
		RefConst<CompoundShape> shape1 = StaticCast<CompoundShape>(shape1_settings.Create().Get());

		MutableCompoundShapeSettings shape2_settings;
		shape2_settings.AddShape(Vec3::sZero(), Quat::sIdentity(), new SphereShape(1.0f));
		shape2_settings.AddShape(Vec3::sZero(), Quat::sIdentity(), new SphereShape(1.0f));
		shape2_settings.AddShape(Vec3::sZero(), Quat::sIdentity(), new SphereShape(1.0f));
		RefConst<CompoundShape> shape2 = StaticCast<CompoundShape>(shape2_settings.Create().Get());

		// Get sub shape IDs of shape 2 and test if they're valid
		SubShapeID sub_shape1 = shape2->GetSubShapeIDFromIndex(0, SubShapeIDCreator()).GetID();
		CHECK(shape2->IsSubShapeIDValid(sub_shape1));
		SubShapeID sub_shape2 = shape2->GetSubShapeIDFromIndex(1, SubShapeIDCreator()).GetID();
		CHECK(shape2->IsSubShapeIDValid(sub_shape2));
		SubShapeID sub_shape3 = shape2->GetSubShapeIDFromIndex(2, SubShapeIDCreator()).GetID();
		CHECK(shape2->IsSubShapeIDValid(sub_shape3));
		SubShapeID sub_shape4 = shape2->GetSubShapeIDFromIndex(3, SubShapeIDCreator()).GetID(); // This one doesn't exist
		CHECK(!shape2->IsSubShapeIDValid(sub_shape4));

		// Shape 1 has no parts so these sub shape ID's should not be valid
		CHECK(!shape1->IsSubShapeIDValid(sub_shape1));
		CHECK(!shape1->IsSubShapeIDValid(sub_shape2));
		CHECK(!shape1->IsSubShapeIDValid(sub_shape3));
		CHECK(!shape1->IsSubShapeIDValid(sub_shape4));
	}

	// Test that an error is reported when we run out of sub shape bits
	TEST_CASE("TestOutOfSubShapeIDBits")
	{
		static constexpr uint32 cHeightFieldSamples = 1024;
		static constexpr int cNumBitsPerCompound = 4;

		// Create a heightfield
		float *samples = new float [cHeightFieldSamples * cHeightFieldSamples];
		memset(samples, 0, cHeightFieldSamples * cHeightFieldSamples * sizeof(float));
		RefConst<Shape> previous_shape = HeightFieldShapeSettings(samples, Vec3::sZero(), Vec3::sReplicate(1.0f), cHeightFieldSamples).Create().Get();
		delete [] samples;

		// Calculate the amount of bits needed to address all triangles in the heightfield
		uint num_bits = 32 - CountLeadingZeros((cHeightFieldSamples - 1) * (cHeightFieldSamples - 1) * 2);

		for (;;)
		{
			// Check that the total sub shape ID bits up to this point is correct
			CHECK(previous_shape->GetSubShapeIDBitsRecursive() == num_bits);

			// Create a compound with a number of sub shapes
			StaticCompoundShapeSettings compound_settings;
			compound_settings.SetEmbedded();
			for (int i = 0; i < (1 << cNumBitsPerCompound) ; ++i)
				compound_settings.AddShape(Vec3((float)i, 0, 0), Quat::sIdentity(), previous_shape);
			Shape::ShapeResult result = compound_settings.Create();
			num_bits += cNumBitsPerCompound;

			if (num_bits < SubShapeID::MaxBits)
			{
				// Creation should have succeeded
				CHECK(result.IsValid());
				previous_shape = result.Get();
			}
			else
			{
				// Creation should have failed because we ran out of bits
				CHECK(!result.IsValid());
				break;
			}
		}
	}

	TEST_CASE("TestEmptyMutableCompound")
	{
		// Create empty shape
		RefConst<Shape> mutable_compound = new MutableCompoundShape();

		// A non-identity rotation
		Quat rotation = Quat::sRotation(Vec3::sReplicate(1.0f / sqrt(3.0f)), 0.1f * JPH_PI);

		// Check that local bounding box is invalid
		AABox bounds1 = mutable_compound->GetLocalBounds();
		CHECK(!bounds1.IsValid());

		// Check that get world space bounds returns an invalid bounding box
		AABox bounds2 = mutable_compound->GetWorldSpaceBounds(Mat44::sRotationTranslation(rotation, Vec3(100, 200, 300)), Vec3(1, 2, 3));
		CHECK(!bounds2.IsValid());

		// Check that get world space bounds returns an invalid bounding box for double precision parameters
		AABox bounds3 = mutable_compound->GetWorldSpaceBounds(DMat44::sRotationTranslation(rotation, DVec3(100, 200, 300)), Vec3(1, 2, 3));
		CHECK(!bounds3.IsValid());
	}

	TEST_CASE("TestSaveMeshShape")
	{
		// Create an n x n grid of triangles
		const int n = 10;
		const float s = 0.1f;
		TriangleList triangles;
		for (int z = 0; z < n; ++z)
			for (int x = 0; x < n; ++x)
			{
				float fx = s * x - s * n / 2, fz = s * z - s * n / 2;
				triangles.push_back(Triangle(Vec3(fx, 0, fz), Vec3(fx, 0, fz + s), Vec3(fx + s, 0, fz + s)));
				triangles.push_back(Triangle(Vec3(fx, 0, fz), Vec3(fx + s, 0, fz + s), Vec3(fx + s, 0, fz)));
			}
		MeshShapeSettings mesh_settings(triangles);
		mesh_settings.SetEmbedded();
		RefConst<Shape> shape = mesh_settings.Create().Get();

		// Calculate expected bounds
		AABox expected_bounds;
		for (const Triangle &t : triangles)
			for (const Float3 &v : t.mV)
				expected_bounds.Encapsulate(Vec3(v));

		stringstream stream;

		{
			// Write mesh to stream
			StreamOutWrapper wrapper(stream);
			shape->SaveBinaryState(wrapper);
		}

		{
			// Read back mesh
			StreamInWrapper iwrapper(stream);
			Shape::ShapeResult result = Shape::sRestoreFromBinaryState(iwrapper);
			CHECK(result.IsValid());
			RefConst<MeshShape> mesh_shape = StaticCast<MeshShape>(result.Get());

			// Test if it contains the same amount of triangles
			Shape::Stats stats = mesh_shape->GetStats();
			CHECK(stats.mNumTriangles == triangles.size());

			// Check bounding box
			CHECK(mesh_shape->GetLocalBounds() == expected_bounds);

			// Check if we can hit it with a ray
			RayCastResult hit;
			RayCast ray(Vec3(0.5f * s, 1, 0.25f * s), Vec3(0, -2, 0)); // Hit in the center of a triangle
			CHECK(mesh_shape->CastRay(ray, SubShapeIDCreator(), hit));
			CHECK(hit.mFraction == 0.5f);
			CHECK(mesh_shape->GetSurfaceNormal(hit.mSubShapeID2, ray.GetPointOnRay(hit.mFraction)) == Vec3::sAxisY());
		}
	}

	TEST_CASE("TestMutableCompoundShapeAdjustCenterOfMass")
	{
		// Start with a box at (-1 0 0)
		MutableCompoundShapeSettings settings;
		Ref<Shape> box_shape1 = new BoxShape(Vec3::sReplicate(1.0f));
		box_shape1->SetUserData(1);
		settings.AddShape(Vec3(-1.0f, 0.0f, 0.0f), Quat::sIdentity(), box_shape1);
		Ref<MutableCompoundShape> shape = StaticCast<MutableCompoundShape>(settings.Create().Get());
		CHECK(shape->GetCenterOfMass() == Vec3(-1.0f, 0.0f, 0.0f));
		CHECK(shape->GetLocalBounds() == AABox(Vec3::sReplicate(-1.0f), Vec3::sReplicate(1.0f)));

		// Check that we can hit the box
		AllHitCollisionCollector<CollidePointCollector> collector;
		shape->CollidePoint(Vec3(-0.5f, 0.0f, 0.0f) - shape->GetCenterOfMass(), SubShapeIDCreator(), collector);
		CHECK((collector.mHits.size() == 1 && shape->GetSubShapeUserData(collector.mHits[0].mSubShapeID2) == 1));
		collector.Reset();
		CHECK(collector.mHits.empty());

		// Now add another box at (1 0 0)
		Ref<Shape> box_shape2 = new BoxShape(Vec3::sReplicate(1.0f));
		box_shape2->SetUserData(2);
		shape->AddShape(Vec3(1.0f, 0.0f, 0.0f), Quat::sIdentity(), box_shape2);
		CHECK(shape->GetCenterOfMass() == Vec3(-1.0f, 0.0f, 0.0f));
		CHECK(shape->GetLocalBounds() == AABox(Vec3(-1.0f, -1.0f, -1.0f), Vec3(3.0f, 1.0f, 1.0f)));

		// Check that we can hit both boxes
		shape->CollidePoint(Vec3(-0.5f, 0.0f, 0.0f) - shape->GetCenterOfMass(), SubShapeIDCreator(), collector);
		CHECK((collector.mHits.size() == 1 && shape->GetSubShapeUserData(collector.mHits[0].mSubShapeID2) == 1));
		collector.Reset();
		shape->CollidePoint(Vec3(0.5f, 0.0f, 0.0f) - shape->GetCenterOfMass(), SubShapeIDCreator(), collector);
		CHECK((collector.mHits.size() == 1 && shape->GetSubShapeUserData(collector.mHits[0].mSubShapeID2) == 2));
		collector.Reset();

		// Adjust the center of mass
		shape->AdjustCenterOfMass();
		CHECK(shape->GetCenterOfMass() == Vec3::sZero());
		CHECK(shape->GetLocalBounds() == AABox(Vec3(-2.0f, -1.0f, -1.0f), Vec3(2.0f, 1.0f, 1.0f)));

		// Check that we can hit both boxes
		shape->CollidePoint(Vec3(-0.5f, 0.0f, 0.0f) - shape->GetCenterOfMass(), SubShapeIDCreator(), collector);
		CHECK((collector.mHits.size() == 1 && shape->GetSubShapeUserData(collector.mHits[0].mSubShapeID2) == 1));
		collector.Reset();
		shape->CollidePoint(Vec3(0.5f, 0.0f, 0.0f) - shape->GetCenterOfMass(), SubShapeIDCreator(), collector);
		CHECK((collector.mHits.size() == 1 && shape->GetSubShapeUserData(collector.mHits[0].mSubShapeID2) == 2));
		collector.Reset();
	}
}