public void TestStaticFn_TransformNormal_i ()
{
Double six = 6;
Double eight = 8;
Double ten = 10;
Double pi; Maths.Pi (out pi);
Double minusPi = -pi;
Double piOver2 = pi / (Double) 2;
Double oneOverRoot4; Maths.Half (out oneOverRoot4);
Double sixTenths = six / ten;
Double eightTenths = eight / ten;
// todo: find a set of 3 fraction that make up a 4D unit vector
// for now just use the 2D one
Vector4 v1 = new Vector4 (0, sixTenths, 0, eightTenths);
Vector4 v2 = new Vector4 (
oneOverRoot4, oneOverRoot4, oneOverRoot4, oneOverRoot4);
Matrix44 rotmati = Matrix44.Identity;
Matrix44 rotmat1; Matrix44.CreateRotationX(ref pi, out rotmat1);
Matrix44 rotmat2; Matrix44.CreateRotationY(ref piOver2, out rotmat2);
Matrix44 rotmat3; Matrix44.CreateRotationZ(ref minusPi, out rotmat3);
Matrix44 rotmat4 = rotmat1 * rotmat2 * rotmat3;
var tests = new Tuple<Vector4, Matrix44, Vector4>[]
{
//normal -> transform -> expected
new Tuple<Vector4, Matrix44, Vector4>(
v1, rotmati, v1),
new Tuple<Vector4, Matrix44, Vector4>(
v1, rotmat1, new Vector4 (0, -sixTenths, 0, eightTenths)),
new Tuple<Vector4, Matrix44, Vector4>(
v1, rotmat2, new Vector4 (0, sixTenths, 0, eightTenths)),
new Tuple<Vector4, Matrix44, Vector4>(
v1, rotmat3, new Vector4 (0, -sixTenths, 0, eightTenths)),
new Tuple<Vector4, Matrix44, Vector4>(
v1, rotmat4, new Vector4 (0, sixTenths, 0, eightTenths)),
//normal -> transform -> expected
new Tuple<Vector4, Matrix44, Vector4>(
v2, rotmati, v2),
new Tuple<Vector4, Matrix44, Vector4>(
v2, rotmat1, new Vector4 (
+ oneOverRoot4,
- oneOverRoot4,
- oneOverRoot4,
+ oneOverRoot4)),
new Tuple<Vector4, Matrix44, Vector4>(
v2, rotmat2, new Vector4 (
+ oneOverRoot4,
+ oneOverRoot4,
- oneOverRoot4,
+ oneOverRoot4)),
new Tuple<Vector4, Matrix44, Vector4>(
v2, rotmat3, new Vector4 (
- oneOverRoot4,
- oneOverRoot4,
+ oneOverRoot4,
+ oneOverRoot4)),
new Tuple<Vector4, Matrix44, Vector4>(
v2, rotmat4, new Vector4 (
+ oneOverRoot4,
+ oneOverRoot4,
- oneOverRoot4,
+ oneOverRoot4))
};
foreach (var test in tests)
{
Vector4 normalVec = test.Item1;
Matrix44 trans = test.Item2;
Vector4 expected = test.Item3;
Vector4 result;
Vector4.TransformNormal (ref normalVec, ref trans, out result);
AssertEqualWithinReason(result, expected);
// should also work with the standard transform fn
Vector4.Transform (ref normalVec, ref trans, out result);
AssertEqualWithinReason(result, expected);
}
}
