public void MultiplyMethodShouldMatchOperatorOperandOrder3()
{
// given:
var r = new FbxMatrix(0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1); // 120 degrees around axis (1,1,1);
var t = new FbxMatrix(1, 0, -0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 3, 4, 1);
var s = new FbxMatrix(5, 0, 0, 0, 0, 6, 0, 0, 0, 0, 7, 0, 0, 0, 0, 1);
// when:
var expected = r * t * s;
var actual = FbxMatrix.Multiply(r, FbxMatrix.Multiply(t, s));
// then:
Assert.AreEqual(expected.Get(0, 0), actual.Get(0, 0), 0.000001f);
Assert.AreEqual(expected.Get(0, 1), actual.Get(0, 1), 0.000001f);
Assert.AreEqual(expected.Get(0, 2), actual.Get(0, 2), 0.000001f);
Assert.AreEqual(expected.Get(0, 3), actual.Get(0, 3), 0.000001f);
Assert.AreEqual(expected.Get(1, 0), actual.Get(1, 0), 0.000001f);
Assert.AreEqual(expected.Get(1, 1), actual.Get(1, 1), 0.000001f);
Assert.AreEqual(expected.Get(1, 2), actual.Get(1, 2), 0.000001f);
Assert.AreEqual(expected.Get(1, 3), actual.Get(1, 3), 0.000001f);
Assert.AreEqual(expected.Get(2, 0), actual.Get(2, 0), 0.000001f);
Assert.AreEqual(expected.Get(2, 1), actual.Get(2, 1), 0.000001f);
Assert.AreEqual(expected.Get(2, 2), actual.Get(2, 2), 0.000001f);
Assert.AreEqual(expected.Get(2, 3), actual.Get(2, 3), 0.000001f);
Assert.AreEqual(expected.Get(3, 0), actual.Get(3, 0), 0.000001f);
Assert.AreEqual(expected.Get(3, 1), actual.Get(3, 1), 0.000001f);
Assert.AreEqual(expected.Get(3, 2), actual.Get(3, 2), 0.000001f);
Assert.AreEqual(expected.Get(3, 3), actual.Get(3, 3), 0.000001f);
// when:
actual = FbxMatrix.Multiply(FbxMatrix.Multiply(r, t), s);
// then:
Assert.AreEqual(expected.Get(0, 0), actual.Get(0, 0), 0.000001f);
Assert.AreEqual(expected.Get(0, 1), actual.Get(0, 1), 0.000001f);
Assert.AreEqual(expected.Get(0, 2), actual.Get(0, 2), 0.000001f);
Assert.AreEqual(expected.Get(0, 3), actual.Get(0, 3), 0.000001f);
Assert.AreEqual(expected.Get(1, 0), actual.Get(1, 0), 0.000001f);
Assert.AreEqual(expected.Get(1, 1), actual.Get(1, 1), 0.000001f);
Assert.AreEqual(expected.Get(1, 2), actual.Get(1, 2), 0.000001f);
Assert.AreEqual(expected.Get(1, 3), actual.Get(1, 3), 0.000001f);
Assert.AreEqual(expected.Get(2, 0), actual.Get(2, 0), 0.000001f);
Assert.AreEqual(expected.Get(2, 1), actual.Get(2, 1), 0.000001f);
Assert.AreEqual(expected.Get(2, 2), actual.Get(2, 2), 0.000001f);
Assert.AreEqual(expected.Get(2, 3), actual.Get(2, 3), 0.000001f);
Assert.AreEqual(expected.Get(3, 0), actual.Get(3, 0), 0.000001f);
Assert.AreEqual(expected.Get(3, 1), actual.Get(3, 1), 0.000001f);
Assert.AreEqual(expected.Get(3, 2), actual.Get(3, 2), 0.000001f);
Assert.AreEqual(expected.Get(3, 3), actual.Get(3, 3), 0.000001f);
}
public void MultiplyMethodShouldMatchOperatorOperandOrder()
{
// given:
var a = new FbxMatrix(1, 0, -0, 0, 0, 0.707107, 0.707107, 0, 0, -0.707107, 0.707107, 0, 0, 0, 0, 1); // 45 degrees around x;
var b = new FbxMatrix(1, 0, -0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 3, 4, 1);
// when:
var expected = a * b;
var actual = FbxMatrix.Multiply(a, b);
// then:
Assert.AreEqual(expected.Get(0, 0), actual.Get(0, 0), 0.000001f);
Assert.AreEqual(expected.Get(0, 1), actual.Get(0, 1), 0.000001f);
Assert.AreEqual(expected.Get(0, 2), actual.Get(0, 2), 0.000001f);
Assert.AreEqual(expected.Get(0, 3), actual.Get(0, 3), 0.000001f);
Assert.AreEqual(expected.Get(1, 0), actual.Get(1, 0), 0.000001f);
Assert.AreEqual(expected.Get(1, 1), actual.Get(1, 1), 0.000001f);
Assert.AreEqual(expected.Get(1, 2), actual.Get(1, 2), 0.000001f);
Assert.AreEqual(expected.Get(1, 3), actual.Get(1, 3), 0.000001f);
Assert.AreEqual(expected.Get(2, 0), actual.Get(2, 0), 0.000001f);
Assert.AreEqual(expected.Get(2, 1), actual.Get(2, 1), 0.000001f);
Assert.AreEqual(expected.Get(2, 2), actual.Get(2, 2), 0.000001f);
Assert.AreEqual(expected.Get(2, 3), actual.Get(2, 3), 0.000001f);
Assert.AreEqual(expected.Get(3, 0), actual.Get(3, 0), 0.000001f);
Assert.AreEqual(expected.Get(3, 1), actual.Get(3, 1), 0.000001f);
Assert.AreEqual(expected.Get(3, 2), actual.Get(3, 2), 0.000001f);
Assert.AreEqual(expected.Get(3, 3), actual.Get(3, 3), 0.000001f);
// when:
expected = b * a;
actual = FbxMatrix.Multiply(b, a);
// then:
Assert.AreEqual(expected.Get(0, 0), actual.Get(0, 0), 0.000001f);
Assert.AreEqual(expected.Get(0, 1), actual.Get(0, 1), 0.000001f);
Assert.AreEqual(expected.Get(0, 2), actual.Get(0, 2), 0.000001f);
Assert.AreEqual(expected.Get(0, 3), actual.Get(0, 3), 0.000001f);
Assert.AreEqual(expected.Get(1, 0), actual.Get(1, 0), 0.000001f);
Assert.AreEqual(expected.Get(1, 1), actual.Get(1, 1), 0.000001f);
Assert.AreEqual(expected.Get(1, 2), actual.Get(1, 2), 0.000001f);
Assert.AreEqual(expected.Get(1, 3), actual.Get(1, 3), 0.000001f);
Assert.AreEqual(expected.Get(2, 0), actual.Get(2, 0), 0.000001f);
Assert.AreEqual(expected.Get(2, 1), actual.Get(2, 1), 0.000001f);
Assert.AreEqual(expected.Get(2, 2), actual.Get(2, 2), 0.000001f);
Assert.AreEqual(expected.Get(2, 3), actual.Get(2, 3), 0.000001f);
Assert.AreEqual(expected.Get(3, 0), actual.Get(3, 0), 0.000001f);
Assert.AreEqual(expected.Get(3, 1), actual.Get(3, 1), 0.000001f);
Assert.AreEqual(expected.Get(3, 2), actual.Get(3, 2), 0.000001f);
Assert.AreEqual(expected.Get(3, 3), actual.Get(3, 3), 0.000001f);
}
public void MultiplyMethodIsAssociative()
{
// given:
var r = new FbxMatrix(0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1); // 120 degrees around axis (1,1,1);
var t = new FbxMatrix(1, 0, -0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 3, 4, 1);
var s = new FbxMatrix(5, 0, 0, 0, 0, 6, 0, 0, 0, 0, 7, 0, 0, 0, 0, 1);
// when:
var m1 = FbxMatrix.Multiply(FbxMatrix.Multiply(r, t), s);
var m2 = FbxMatrix.Multiply(r, FbxMatrix.Multiply(t, s));
// then:
Assert.AreEqual(m1.Get(0, 0), m2.Get(0, 0), 0.000001f);
Assert.AreEqual(m1.Get(0, 1), m2.Get(0, 1), 0.000001f);
Assert.AreEqual(m1.Get(0, 2), m2.Get(0, 2), 0.000001f);
Assert.AreEqual(m1.Get(0, 3), m2.Get(0, 3), 0.000001f);
Assert.AreEqual(m1.Get(1, 0), m2.Get(1, 0), 0.000001f);
Assert.AreEqual(m1.Get(1, 1), m2.Get(1, 1), 0.000001f);
Assert.AreEqual(m1.Get(1, 2), m2.Get(1, 2), 0.000001f);
Assert.AreEqual(m1.Get(1, 3), m2.Get(1, 3), 0.000001f);
Assert.AreEqual(m1.Get(2, 0), m2.Get(2, 0), 0.000001f);
Assert.AreEqual(m1.Get(2, 1), m2.Get(2, 1), 0.000001f);
Assert.AreEqual(m1.Get(2, 2), m2.Get(2, 2), 0.000001f);
Assert.AreEqual(m1.Get(2, 3), m2.Get(2, 3), 0.000001f);
Assert.AreEqual(m1.Get(3, 0), m2.Get(3, 0), 0.000001f);
Assert.AreEqual(m1.Get(3, 1), m2.Get(3, 1), 0.000001f);
Assert.AreEqual(m1.Get(3, 2), m2.Get(3, 2), 0.000001f);
Assert.AreEqual(m1.Get(3, 3), m2.Get(3, 3), 0.000001f);
// when:
m1 = FbxMatrix.Multiply(FbxMatrix.Multiply(r, s), t);
m2 = FbxMatrix.Multiply(r, FbxMatrix.Multiply(s, t));
// then:
Assert.AreEqual(m1.Get(0, 0), m2.Get(0, 0), 0.000001f);
Assert.AreEqual(m1.Get(0, 1), m2.Get(0, 1), 0.000001f);
Assert.AreEqual(m1.Get(0, 2), m2.Get(0, 2), 0.000001f);
Assert.AreEqual(m1.Get(0, 3), m2.Get(0, 3), 0.000001f);
Assert.AreEqual(m1.Get(1, 0), m2.Get(1, 0), 0.000001f);
Assert.AreEqual(m1.Get(1, 1), m2.Get(1, 1), 0.000001f);
Assert.AreEqual(m1.Get(1, 2), m2.Get(1, 2), 0.000001f);
Assert.AreEqual(m1.Get(1, 3), m2.Get(1, 3), 0.000001f);
Assert.AreEqual(m1.Get(2, 0), m2.Get(2, 0), 0.000001f);
Assert.AreEqual(m1.Get(2, 1), m2.Get(2, 1), 0.000001f);
Assert.AreEqual(m1.Get(2, 2), m2.Get(2, 2), 0.000001f);
Assert.AreEqual(m1.Get(2, 3), m2.Get(2, 3), 0.000001f);
Assert.AreEqual(m1.Get(3, 0), m2.Get(3, 0), 0.000001f);
Assert.AreEqual(m1.Get(3, 1), m2.Get(3, 1), 0.000001f);
Assert.AreEqual(m1.Get(3, 2), m2.Get(3, 2), 0.000001f);
Assert.AreEqual(m1.Get(3, 3), m2.Get(3, 3), 0.000001f);
// when:
m1 = FbxMatrix.Multiply(FbxMatrix.Multiply(s, r), t);
m2 = FbxMatrix.Multiply(s, FbxMatrix.Multiply(r, t));
// then:
Assert.AreEqual(m1.Get(0, 0), m2.Get(0, 0), 0.000001f);
Assert.AreEqual(m1.Get(0, 1), m2.Get(0, 1), 0.000001f);
Assert.AreEqual(m1.Get(0, 2), m2.Get(0, 2), 0.000001f);
Assert.AreEqual(m1.Get(0, 3), m2.Get(0, 3), 0.000001f);
Assert.AreEqual(m1.Get(1, 0), m2.Get(1, 0), 0.000001f);
Assert.AreEqual(m1.Get(1, 1), m2.Get(1, 1), 0.000001f);
Assert.AreEqual(m1.Get(1, 2), m2.Get(1, 2), 0.000001f);
Assert.AreEqual(m1.Get(1, 3), m2.Get(1, 3), 0.000001f);
Assert.AreEqual(m1.Get(2, 0), m2.Get(2, 0), 0.000001f);
Assert.AreEqual(m1.Get(2, 1), m2.Get(2, 1), 0.000001f);
Assert.AreEqual(m1.Get(2, 2), m2.Get(2, 2), 0.000001f);
Assert.AreEqual(m1.Get(2, 3), m2.Get(2, 3), 0.000001f);
Assert.AreEqual(m1.Get(3, 0), m2.Get(3, 0), 0.000001f);
Assert.AreEqual(m1.Get(3, 1), m2.Get(3, 1), 0.000001f);
Assert.AreEqual(m1.Get(3, 2), m2.Get(3, 2), 0.000001f);
Assert.AreEqual(m1.Get(3, 3), m2.Get(3, 3), 0.000001f);
// when:
m1 = FbxMatrix.Multiply(FbxMatrix.Multiply(s, t), r);
m2 = FbxMatrix.Multiply(s, FbxMatrix.Multiply(t, r));
// then:
Assert.AreEqual(m1.Get(0, 0), m2.Get(0, 0), 0.000001f);
Assert.AreEqual(m1.Get(0, 1), m2.Get(0, 1), 0.000001f);
Assert.AreEqual(m1.Get(0, 2), m2.Get(0, 2), 0.000001f);
Assert.AreEqual(m1.Get(0, 3), m2.Get(0, 3), 0.000001f);
Assert.AreEqual(m1.Get(1, 0), m2.Get(1, 0), 0.000001f);
Assert.AreEqual(m1.Get(1, 1), m2.Get(1, 1), 0.000001f);
Assert.AreEqual(m1.Get(1, 2), m2.Get(1, 2), 0.000001f);
Assert.AreEqual(m1.Get(1, 3), m2.Get(1, 3), 0.000001f);
Assert.AreEqual(m1.Get(2, 0), m2.Get(2, 0), 0.000001f);
Assert.AreEqual(m1.Get(2, 1), m2.Get(2, 1), 0.000001f);
Assert.AreEqual(m1.Get(2, 2), m2.Get(2, 2), 0.000001f);
Assert.AreEqual(m1.Get(2, 3), m2.Get(2, 3), 0.000001f);
Assert.AreEqual(m1.Get(3, 0), m2.Get(3, 0), 0.000001f);
Assert.AreEqual(m1.Get(3, 1), m2.Get(3, 1), 0.000001f);
Assert.AreEqual(m1.Get(3, 2), m2.Get(3, 2), 0.000001f);
Assert.AreEqual(m1.Get(3, 3), m2.Get(3, 3), 0.000001f);
// when:
m1 = FbxMatrix.Multiply(FbxMatrix.Multiply(t, s), r);
m2 = FbxMatrix.Multiply(t, FbxMatrix.Multiply(s, r));
// then:
Assert.AreEqual(m1.Get(0, 0), m2.Get(0, 0), 0.000001f);
Assert.AreEqual(m1.Get(0, 1), m2.Get(0, 1), 0.000001f);
Assert.AreEqual(m1.Get(0, 2), m2.Get(0, 2), 0.000001f);
Assert.AreEqual(m1.Get(0, 3), m2.Get(0, 3), 0.000001f);
Assert.AreEqual(m1.Get(1, 0), m2.Get(1, 0), 0.000001f);
Assert.AreEqual(m1.Get(1, 1), m2.Get(1, 1), 0.000001f);
Assert.AreEqual(m1.Get(1, 2), m2.Get(1, 2), 0.000001f);
Assert.AreEqual(m1.Get(1, 3), m2.Get(1, 3), 0.000001f);
Assert.AreEqual(m1.Get(2, 0), m2.Get(2, 0), 0.000001f);
Assert.AreEqual(m1.Get(2, 1), m2.Get(2, 1), 0.000001f);
Assert.AreEqual(m1.Get(2, 2), m2.Get(2, 2), 0.000001f);
Assert.AreEqual(m1.Get(2, 3), m2.Get(2, 3), 0.000001f);
Assert.AreEqual(m1.Get(3, 0), m2.Get(3, 0), 0.000001f);
Assert.AreEqual(m1.Get(3, 1), m2.Get(3, 1), 0.000001f);
Assert.AreEqual(m1.Get(3, 2), m2.Get(3, 2), 0.000001f);
Assert.AreEqual(m1.Get(3, 3), m2.Get(3, 3), 0.000001f);
// when:
m1 = FbxMatrix.Multiply(FbxMatrix.Multiply(t, r), s);
m2 = FbxMatrix.Multiply(t, FbxMatrix.Multiply(r, s));
// then:
Assert.AreEqual(m1.Get(0, 0), m2.Get(0, 0), 0.000001f);
Assert.AreEqual(m1.Get(0, 1), m2.Get(0, 1), 0.000001f);
Assert.AreEqual(m1.Get(0, 2), m2.Get(0, 2), 0.000001f);
Assert.AreEqual(m1.Get(0, 3), m2.Get(0, 3), 0.000001f);
Assert.AreEqual(m1.Get(1, 0), m2.Get(1, 0), 0.000001f);
Assert.AreEqual(m1.Get(1, 1), m2.Get(1, 1), 0.000001f);
Assert.AreEqual(m1.Get(1, 2), m2.Get(1, 2), 0.000001f);
Assert.AreEqual(m1.Get(1, 3), m2.Get(1, 3), 0.000001f);
Assert.AreEqual(m1.Get(2, 0), m2.Get(2, 0), 0.000001f);
Assert.AreEqual(m1.Get(2, 1), m2.Get(2, 1), 0.000001f);
Assert.AreEqual(m1.Get(2, 2), m2.Get(2, 2), 0.000001f);
Assert.AreEqual(m1.Get(2, 3), m2.Get(2, 3), 0.000001f);
Assert.AreEqual(m1.Get(3, 0), m2.Get(3, 0), 0.000001f);
Assert.AreEqual(m1.Get(3, 1), m2.Get(3, 1), 0.000001f);
Assert.AreEqual(m1.Get(3, 2), m2.Get(3, 2), 0.000001f);
Assert.AreEqual(m1.Get(3, 3), m2.Get(3, 3), 0.000001f);
}