public void Matrix3x2DeterminantTest1()
{
Matrix3x2 a = new Matrix3x2();
a.M11 = 5.0f;
a.M12 = 2.0f;
a.M21 = 12.0f;
a.M22 = 6.8f;
a.M31 = 6.5f;
a.M32 = 1.0f;
Matrix3x2 i;
Assert.True(Matrix3x2.Invert(a, out i));
float detA = a.GetDeterminant();
float detI = i.GetDeterminant();
float t = 1.0f / detI;
// only accurate to 3 precision
Assert.True(System.Math.Abs(detA - t) < 1e-3, "Matrix3x2.Determinant was not set correctly.");
// sanity check against 4x4 version
Assert.Equal(new Matrix4x4(a).GetDeterminant(), detA);
Assert.Equal(new Matrix4x4(i).GetDeterminant(), detI);
}
public void Matrix3x2InvertTest1()
{
Matrix3x2 a = new Matrix3x2();
a.M11 = 0.0f;
a.M12 = 2.0f;
a.M21 = 0.0f;
a.M22 = 4.0f;
a.M31 = 5.0f;
a.M32 = 6.0f;
float detA = a.GetDeterminant();
Assert.True(MathHelper.Equal(detA, 0.0f), "Matrix3x2.Invert did not return the expected value.");
Matrix3x2 actual;
Assert.False(Matrix3x2.Invert(a, out actual));
// all the elements in Actual is NaN
Assert.True(
float.IsNaN(actual.M11) && float.IsNaN(actual.M12) &&
float.IsNaN(actual.M21) && float.IsNaN(actual.M22) &&
float.IsNaN(actual.M31) && float.IsNaN(actual.M32)
, "Matrix3x2.Invert did not return the expected value.");
}
public static Vector2 Solve(this Matrix3x2 m, Vector2 b)
{
float det = 1f / m.GetDeterminant();
return(new Vector2(
det * (m.M22 * b.X - m.M12 * b.Y),
det * (m.M11 * b.Y - m.M21 * b.X)));
}
public void Matrix3x2DeterminantTest()
{
Matrix3x2 target = Matrix3x2.CreateRotation(MathHelper.ToRadians(30.0f));
float val = 1.0f;
float det = target.GetDeterminant();
Assert.True(MathHelper.Equal(val, det), "Matrix3x2.Determinant was not set correctly.");
}
public void Matrix3x2DeterminantTest1()
{
Matrix3x2 a = new Matrix3x2();
a.M11 = 5.0f; a.M12 = 2.0f;
a.M21 = 12.0f; a.M22 = 6.8f;
a.M31 = 6.5f; a.M32 = 1.0f;
Matrix3x2 i;
Assert.IsTrue(Matrix3x2.Invert(a, out i));
float detA = a.GetDeterminant();
float detI = i.GetDeterminant();
float t = 1.0f / detI;
// only accurate to 3 precision
Assert.IsTrue(System.Math.Abs(detA - t) < 1e-3, "Matrix3x2.GetDeterminant was not set correctly.");
// sanity check against 4x4 version
Assert.AreEqual(new Matrix4x4(a).GetDeterminant(), detA);
Assert.AreEqual(new Matrix4x4(i).GetDeterminant(), detI);
}
public void Matrix3x2InvertTest1()
{
Matrix3x2 a = new Matrix3x2();
a.M11 = 0.0f;
a.M12 = 2.0f;
a.M21 = 0.0f;
a.M22 = 4.0f;
a.M31 = 5.0f;
a.M32 = 6.0f;
float detA = a.GetDeterminant();
Assert.True(MathHelper.Equal(detA, 0.0f), "Matrix3x2.Invert did not return the expected value.");
Matrix3x2 actual;
Assert.False(Matrix3x2.Invert(a, out actual));
// all the elements in Actual is NaN
Assert.True(
float.IsNaN(actual.M11) && float.IsNaN(actual.M12) &&
float.IsNaN(actual.M21) && float.IsNaN(actual.M22) &&
float.IsNaN(actual.M31) && float.IsNaN(actual.M32)
, "Matrix3x2.Invert did not return the expected value.");
}
/// <summary> /// Returns a value that indicates whether the specified matrix is degenerate /// containing one or more values equivalent to <see cref="float.NaN"/> or a /// zero determinant and therefore cannot be used for linear transforms. /// </summary> /// <param name="matrix">The transform matrix.</param> public static bool IsDegenerate(Matrix3x2 matrix) => IsNaN(matrix) || IsZero(matrix.GetDeterminant());