public void Matrix3x2MultiplyTest3()
{
Matrix3x2 a = GenerateMatrixNumberFrom1To6();
Matrix3x2 b = GenerateMatrixNumberFrom1To6();
Matrix3x2 expected = new Matrix3x2();
expected.M11 = a.M11 * b.M11 + a.M12 * b.M21;
expected.M12 = a.M11 * b.M12 + a.M12 * b.M22;
expected.M21 = a.M21 * b.M11 + a.M22 * b.M21;
expected.M22 = a.M21 * b.M12 + a.M22 * b.M22;
expected.M31 = a.M31 * b.M11 + a.M32 * b.M21 + b.M31;
expected.M32 = a.M31 * b.M12 + a.M32 * b.M22 + b.M32;
Matrix3x2 actual;
actual = Matrix3x2.Multiply(a, b);
Assert.Equal(expected, actual);
// Sanity check by comparison with 4x4 multiply.
a = Matrix3x2.CreateRotation(MathHelper.ToRadians(30)) * Matrix3x2.CreateTranslation(23, 42);
b = Matrix3x2.CreateScale(3, 7) * Matrix3x2.CreateTranslation(666, -1);
actual = Matrix3x2.Multiply(a, b);
Matrix4x4 a44 = new Matrix4x4(a);
Matrix4x4 b44 = new Matrix4x4(b);
Matrix4x4 expected44 = Matrix4x4.Multiply(a44, b44);
Matrix4x4 actual44 = new Matrix4x4(actual);
Assert.True(MathHelper.Equal(expected44, actual44), "Matrix3x2.Multiply did not return the expected value.");
}
static Matrix3x2 GenerateTestMatrix()
{
Matrix3x2 m = Matrix3x2.CreateRotation(MathHelper.ToRadians(30.0f));
m.Translation = new Vector2(111.0f, 222.0f);
return(m);
}
public void Matrix3x2CreateRotationRightAngleTest()
{
// 90 degree rotations must be exact!
Matrix3x2 actual = Matrix3x2.CreateRotation(0);
Assert.Equal(new Matrix3x2(1, 0, 0, 1, 0, 0), actual);
actual = Matrix3x2.CreateRotation(MathHelper.Pi / 2);
Assert.Equal(new Matrix3x2(0, 1, -1, 0, 0, 0), actual);
actual = Matrix3x2.CreateRotation(MathHelper.Pi);
Assert.Equal(new Matrix3x2(-1, 0, 0, -1, 0, 0), actual);
actual = Matrix3x2.CreateRotation(MathHelper.Pi * 3 / 2);
Assert.Equal(new Matrix3x2(0, -1, 1, 0, 0, 0), actual);
actual = Matrix3x2.CreateRotation(MathHelper.Pi * 2);
Assert.Equal(new Matrix3x2(1, 0, 0, 1, 0, 0), actual);
actual = Matrix3x2.CreateRotation(MathHelper.Pi * 5 / 2);
Assert.Equal(new Matrix3x2(0, 1, -1, 0, 0, 0), actual);
actual = Matrix3x2.CreateRotation(-MathHelper.Pi / 2);
Assert.Equal(new Matrix3x2(0, -1, 1, 0, 0, 0), actual);
// But merely close-to-90 rotations should not be excessively clamped.
Single delta = MathHelper.ToRadians(0.01f);
actual = Matrix3x2.CreateRotation(MathHelper.Pi + delta);
Assert.False(MathHelper.Equal(new Matrix3x2(-1, 0, 0, -1, 0, 0), actual));
actual = Matrix3x2.CreateRotation(MathHelper.Pi - delta);
Assert.False(MathHelper.Equal(new Matrix3x2(-1, 0, 0, -1, 0, 0), actual));
}
public void Matrix3x2DeterminantTest()
{
Matrix3x2 target = Matrix3x2.CreateRotation(MathHelper.ToRadians(30.0f));
Single val = 1.0f;
Single det = target.GetDeterminant();
Assert.True(MathHelper.Equal(val, det), "Matrix3x2.Determinant was not set correctly.");
}
public void Matrix3x2InvertRotationTest()
{
Matrix3x2 mtx = Matrix3x2.CreateRotation(2);
Matrix3x2 actual;
Assert.True(Matrix3x2.Invert(mtx, out actual));
Matrix3x2 i = mtx * actual;
Assert.True(MathHelper.Equal(i, Matrix3x2.Identity));
}
public void Matrix3x2InvertAffineTest()
{
Matrix3x2 mtx = Matrix3x2.CreateRotation(2) *
Matrix3x2.CreateScale(23, -42) *
Matrix3x2.CreateTranslation(17, 53);
Matrix3x2 actual;
Assert.True(Matrix3x2.Invert(mtx, out actual));
Matrix3x2 i = mtx * actual;
Assert.True(MathHelper.Equal(i, Matrix3x2.Identity));
}
public void Vector2TransformNormal3x2Test()
{
Vector2 v = new Vector2(1.0f, 2.0f);
Matrix3x2 m = Matrix3x2.CreateRotation(MathHelper.ToRadians(30.0f));
m.M31 = 10.0f;
m.M32 = 20.0f;
Vector2 expected = new Vector2(-0.133974612f, 2.232051f);
Vector2 actual;
actual = Vector2.TransformNormal(v, m);
Assert.True(MathHelper.Equal(expected, actual), "Vector2f.Transform did not return the expected value.");
}
public void Matrix3x2CreateRotationCenterTest()
{
Single radians = MathHelper.ToRadians(30.0f);
Vector2 center = new Vector2(23, 42);
Matrix3x2 rotateAroundZero = Matrix3x2.CreateRotation(radians, Vector2.Zero);
Matrix3x2 rotateAroundZeroExpected = Matrix3x2.CreateRotation(radians);
Assert.True(MathHelper.Equal(rotateAroundZero, rotateAroundZeroExpected));
Matrix3x2 rotateAroundCenter = Matrix3x2.CreateRotation(radians, center);
Matrix3x2 rotateAroundCenterExpected = Matrix3x2.CreateTranslation(-center) * Matrix3x2.CreateRotation(radians) * Matrix3x2.CreateTranslation(center);
Assert.True(MathHelper.Equal(rotateAroundCenter, rotateAroundCenterExpected));
}
public void Matrix3x2CreateRotationTest()
{
Single radians = MathHelper.ToRadians(50.0f);
Matrix3x2 expected = new Matrix3x2();
expected.M11 = 0.642787635f;
expected.M12 = 0.766044438f;
expected.M21 = -0.766044438f;
expected.M22 = 0.642787635f;
Matrix3x2 actual;
actual = Matrix3x2.CreateRotation(radians);
Assert.True(MathHelper.Equal(expected, actual), "Matrix3x2.CreateRotation did not return the expected value.");
}
public void Matrix3x2InvertTest()
{
Matrix3x2 mtx = Matrix3x2.CreateRotation(MathHelper.ToRadians(30.0f));
Matrix3x2 expected = new Matrix3x2();
expected.M11 = 0.8660254f;
expected.M12 = -0.5f;
expected.M21 = 0.5f;
expected.M22 = 0.8660254f;
expected.M31 = 0;
expected.M32 = 0;
Matrix3x2 actual;
Assert.True(Matrix3x2.Invert(mtx, out actual));
Assert.True(MathHelper.Equal(expected, actual), "Matrix3x2.Invert did not return the expected value.");
Matrix3x2 i = mtx * actual;
Assert.True(MathHelper.Equal(i, Matrix3x2.Identity), "Matrix3x2.Invert did not return the expected value.");
}
public void Matrix3x2CreateRotationRightAngleCenterTest()
{
Vector2 center = new Vector2(3, 7);
// 90 degree rotations must be exact!
Matrix3x2 actual = Matrix3x2.CreateRotation(0, center);
Assert.Equal(new Matrix3x2(1, 0, 0, 1, 0, 0), actual);
actual = Matrix3x2.CreateRotation(MathHelper.Pi / 2, center);
Assert.Equal(new Matrix3x2(0, 1, -1, 0, 10, 4), actual);
actual = Matrix3x2.CreateRotation(MathHelper.Pi, center);
Assert.Equal(new Matrix3x2(-1, 0, 0, -1, 6, 14), actual);
actual = Matrix3x2.CreateRotation(MathHelper.Pi * 3 / 2, center);
Assert.Equal(new Matrix3x2(0, -1, 1, 0, -4, 10), actual);
actual = Matrix3x2.CreateRotation(MathHelper.Pi * 2, center);
Assert.Equal(new Matrix3x2(1, 0, 0, 1, 0, 0), actual);
actual = Matrix3x2.CreateRotation(MathHelper.Pi * 5 / 2, center);
Assert.Equal(new Matrix3x2(0, 1, -1, 0, 10, 4), actual);
actual = Matrix3x2.CreateRotation(-MathHelper.Pi / 2, center);
Assert.Equal(new Matrix3x2(0, -1, 1, 0, -4, 10), actual);
// But merely close-to-90 rotations should not be excessively clamped.
Single delta = MathHelper.ToRadians(0.01f);
actual = Matrix3x2.CreateRotation(MathHelper.Pi + delta, center);
Assert.False(MathHelper.Equal(new Matrix3x2(-1, 0, 0, -1, 6, 14), actual));
actual = Matrix3x2.CreateRotation(MathHelper.Pi - delta, center);
Assert.False(MathHelper.Equal(new Matrix3x2(-1, 0, 0, -1, 6, 14), actual));
}