public void GetBoundsOrthographic()
{
// Get bounds of AABB in clip space. (Used in OcclusionCulling.fx.)
Vector3F cameraPosition = new Vector3F(100, -200, 345);
Vector3F cameraForward = new Vector3F(1, 2, 3).Normalized;
Vector3F cameraUp = new Vector3F(-1, 0.5f, -2).Normalized;
Matrix44F view = Matrix44F.CreateLookAt(cameraPosition, cameraPosition + cameraForward, cameraUp);
Matrix44F proj = Matrix44F.CreateOrthographic(16, 9, -10, 100);
Matrix44F viewProj = proj * view;
Vector3F center = new Vector3F();
Vector3F halfExtent = new Vector3F();
Aabb aabb = new Aabb(center - halfExtent, center + halfExtent);
Aabb aabb0, aabb1;
GetBoundsOrtho(aabb, viewProj, out aabb0);
GetBoundsOrthoSmart(aabb, viewProj, out aabb1);
Assert.IsTrue(Aabb.AreNumericallyEqual(aabb0, aabb1));
center = new Vector3F(-9, 20, -110);
halfExtent = new Vector3F(5, 2, 10);
aabb = new Aabb(center - halfExtent, center + halfExtent);
GetBoundsOrtho(aabb, viewProj, out aabb0);
GetBoundsOrthoSmart(aabb, viewProj, out aabb1);
Assert.IsTrue(Aabb.AreNumericallyEqual(aabb0, aabb1));
}
public void GetBoundsPerspective()
{
// Get bounds of AABB in clip space. (Used in OcclusionCulling.fx.)
// Note: Z = 0 or negative is handled conservatively. Point (0, 0, 0) is returned.
Vector3F cameraPosition = new Vector3F(100, -200, 345);
Vector3F cameraForward = new Vector3F(1, 2, 3).Normalized;
Vector3F cameraUp = new Vector3F(-1, 0.5f, -2).Normalized;
Matrix44F view = Matrix44F.CreateLookAt(cameraPosition, cameraPosition + cameraForward, cameraUp);
Matrix44F proj = Matrix44F.CreatePerspectiveFieldOfView(MathHelper.ToRadians(90), 16.0f / 9.0f, 1, 100);
Matrix44F viewProj = proj * view;
// Empty AABB at center of near plane.
Vector3F center = cameraPosition + cameraForward;
Vector3F halfExtent = new Vector3F();
Aabb aabb = new Aabb(center - halfExtent, center + halfExtent);
Aabb aabb0, aabb1;
GetBoundsPersp(aabb, viewProj, out aabb0);
GetBoundsPerspSmart(aabb, viewProj, out aabb1);
Assert.IsTrue(Aabb.AreNumericallyEqual(aabb0, aabb1));
// AABB inside frustum.
center = view.Inverse.TransformPosition(new Vector3F(2, -3, -50));
halfExtent = new Vector3F(1, 6, 10);
aabb = new Aabb(center - halfExtent, center + halfExtent);
GetBoundsPersp(aabb, viewProj, out aabb0);
GetBoundsPerspSmart(aabb, viewProj, out aabb1);
Assert.IsTrue(Aabb.AreNumericallyEqual(aabb0, aabb1));
// Behind camera.
center = view.Inverse.TransformPosition(new Vector3F(2, -3, 50));
halfExtent = new Vector3F(1, 6, 10);
aabb = new Aabb(center - halfExtent, center + halfExtent);
GetBoundsPersp(aabb, viewProj, out aabb0);
GetBoundsPerspSmart(aabb, viewProj, out aabb1);
Assert.IsTrue(Aabb.AreNumericallyEqual(aabb0, aabb1));
// Camera inside AABB.
center = view.Inverse.TransformPosition(new Vector3F(2, -3, -50));
halfExtent = new Vector3F(100, 100, 100);
aabb = new Aabb(center - halfExtent, center + halfExtent);
GetBoundsPersp(aabb, viewProj, out aabb0);
GetBoundsPerspSmart(aabb, viewProj, out aabb1);
Assert.IsTrue(Aabb.AreNumericallyEqual(aabb0, aabb1));
}
public void AreNumericallyEqual()
{
Assert.IsTrue(Aabb.AreNumericallyEqual(new Aabb(), new Aabb()));
Assert.IsTrue(Aabb.AreNumericallyEqual(new Aabb(new Vector3F(1, 2, 3), new Vector3F(4, 5, 6)),
new Aabb(new Vector3F(1, 2, 3 + Numeric.EpsilonF / 2), new Vector3F(4, 5, 6))));
Assert.IsTrue(Aabb.AreNumericallyEqual(new Aabb(new Vector3F(1, 2, 3), new Vector3F(4, 5, 6)),
new Aabb(new Vector3F(1, 2, 3), new Vector3F(4, 5, 6 + Numeric.EpsilonF / 2))));
Assert.IsFalse(Aabb.AreNumericallyEqual(new Aabb(new Vector3F(1, 2, 3), new Vector3F(4, 5, 6)),
new Aabb(new Vector3F(1, 2, 3 + 10 * Numeric.EpsilonF), new Vector3F(4, 5, 6))));
Assert.IsTrue(Aabb.AreNumericallyEqual(new Aabb(), new Aabb()));
Assert.IsTrue(Aabb.AreNumericallyEqual(new Aabb(new Vector3F(1, 2, 3), new Vector3F(4, 5, 6)),
new Aabb(new Vector3F(1, 2, 3.1f), new Vector3F(4, 5, 6)),
0.2f));
Assert.IsTrue(Aabb.AreNumericallyEqual(new Aabb(new Vector3F(1, 2, 3), new Vector3F(4, 5, 6)),
new Aabb(new Vector3F(1, 2, 3), new Vector3F(4, 5.1f, 6)),
0.2f));
Assert.IsFalse(Aabb.AreNumericallyEqual(new Aabb(new Vector3F(1, 2, 3), new Vector3F(4, 5, 6)),
new Aabb(new Vector3F(1, 2, 3.3f), new Vector3F(4, 5, 6)),
0.2f));
}