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.");
}
public void Matrix3x2CreateTranslationTest1()
{
Vector2 position = new Vector2(2.0f, 3.0f);
Matrix3x2 expected = new Matrix3x2(
1.0f, 0.0f,
0.0f, 1.0f,
2.0f, 3.0f);
Matrix3x2 actual = Matrix3x2.CreateTranslation(position);
Assert.Equal(expected, actual);
}
public void Matrix3x2InvertTranslationTest()
{
Matrix3x2 mtx = Matrix3x2.CreateTranslation(23, 42);
Matrix3x2 actual;
Assert.True(Matrix3x2.Invert(mtx, out actual));
Matrix3x2 i = mtx * actual;
Assert.True(MathHelper.Equal(i, Matrix3x2.Identity));
}
public void Matrix3x2CreateTranslationTest2()
{
Single xPosition = 2.0f;
Single yPosition = 3.0f;
Matrix3x2 expected = new Matrix3x2(
1.0f, 0.0f,
0.0f, 1.0f,
2.0f, 3.0f);
Matrix3x2 actual = Matrix3x2.CreateTranslation(xPosition, yPosition);
Assert.Equal(expected, actual);
}
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 Matrix3x2CreateSkewCenterTest()
{
Single skewX = 1, skewY = 2;
Vector2 center = new Vector2(23, 42);
Matrix3x2 skewAroundZero = Matrix3x2.CreateSkew(skewX, skewY, Vector2.Zero);
Matrix3x2 skewAroundZeroExpected = Matrix3x2.CreateSkew(skewX, skewY);
Assert.True(MathHelper.Equal(skewAroundZero, skewAroundZeroExpected));
Matrix3x2 skewAroundCenter = Matrix3x2.CreateSkew(skewX, skewY, center);
Matrix3x2 skewAroundCenterExpected = Matrix3x2.CreateTranslation(-center) * Matrix3x2.CreateSkew(skewX, skewY) * Matrix3x2.CreateTranslation(center);
Assert.True(MathHelper.Equal(skewAroundCenter, skewAroundCenterExpected));
}
public void Matrix3x2CreateScaleCenterTest3()
{
Vector2 scale = new Vector2(3, 4);
Vector2 center = new Vector2(23, 42);
Matrix3x2 scaleAroundZero = Matrix3x2.CreateScale(scale.X, scale.Y, Vector2.Zero);
Matrix3x2 scaleAroundZeroExpected = Matrix3x2.CreateScale(scale.X, scale.Y);
Assert.True(MathHelper.Equal(scaleAroundZero, scaleAroundZeroExpected));
Matrix3x2 scaleAroundCenter = Matrix3x2.CreateScale(scale.X, scale.Y, center);
Matrix3x2 scaleAroundCenterExpected = Matrix3x2.CreateTranslation(-center) * Matrix3x2.CreateScale(scale.X, scale.Y) * Matrix3x2.CreateTranslation(center);
Assert.True(MathHelper.Equal(scaleAroundCenter, scaleAroundCenterExpected));
}
public void Matrix3x2CreateScaleCenterTest2()
{
Single scale = 5;
Vector2 center = new Vector2(23, 42);
Matrix3x2 scaleAroundZero = Matrix3x2.CreateScale(scale, Vector2.Zero);
Matrix3x2 scaleAroundZeroExpected = Matrix3x2.CreateScale(scale);
Assert.True(MathHelper.Equal(scaleAroundZero, scaleAroundZeroExpected));
Matrix3x2 scaleAroundCenter = Matrix3x2.CreateScale(scale, center);
Matrix3x2 scaleAroundCenterExpected = Matrix3x2.CreateTranslation(-center) * Matrix3x2.CreateScale(scale) * Matrix3x2.CreateTranslation(center);
Assert.True(MathHelper.Equal(scaleAroundCenter, scaleAroundCenterExpected));
}
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));
}