/// <summary>
/// Transforms the vector by the matrix.
/// </summary>
/// <param name="v">Vector2 to transform. Considered to be a row vector for purposes of multiplication.</param>
/// <param name="matrix">Matrix to use as the transformation.</param>
/// <param name="result">Row vector product of the transformation.</param>
public static void Transform(ref Vector3 v, ref Matrix3X2 matrix, out Vector2 result)
{
#if !WINDOWS
result = new Vector2();
#endif
result.X = v.X * matrix.M11 + v.Y * matrix.M21 + v.Z * matrix.M31;
result.Y = v.X * matrix.M12 + v.Y * matrix.M22 + v.Z * matrix.M32;
}
/// <summary>
/// Multiplies the two matrices.
/// </summary>
/// <param name="a">First matrix to multiply.</param>
/// <param name="b">Second matrix to multiply.</param>
/// <param name="result">Product of the multiplication.</param>
public static void Multiply(ref Matrix2X3 a, ref Matrix3X2 b, out Matrix2X2 result)
{
result.M11 = a.M11 * b.M11 + a.M12 * b.M21 + a.M13 * b.M31;
result.M12 = a.M11 * b.M12 + a.M12 * b.M22 + a.M13 * b.M32;
result.M21 = a.M21 * b.M11 + a.M22 * b.M21 + a.M23 * b.M31;
result.M22 = a.M21 * b.M12 + a.M22 * b.M22 + a.M23 * b.M32;
}
/// <summary>
/// Transforms the vector by the matrix.
/// </summary>
/// <param name="v">Vector2 to transform. Considered to be a column vector for purposes of multiplication.</param>
/// <param name="matrix">Matrix to use as the transformation.</param>
/// <param name="result">Column vector product of the transformation.</param>
public static void Transform(ref Vector2 v, ref Matrix3X2 matrix, out Vector3 result)
{
#if !WINDOWS
result = new Vector3();
#endif
result.X = matrix.M11 * v.X + matrix.M12 * v.Y;
result.Y = matrix.M21 * v.X + matrix.M22 * v.Y;
result.Z = matrix.M31 * v.X + matrix.M32 * v.Y;
}
public static void Validate(this Matrix3X2 m)
{
if (IsInvalid(m.M11) || IsInvalid(m.M12) ||
IsInvalid(m.M21) || IsInvalid(m.M22) ||
IsInvalid(m.M31) || IsInvalid(m.M32))
{
throw new ArithmeticException("Invalid value.");
}
}
public static void Validate(this Matrix3X2 m)
{
if (IsInvalid(m.M11) || IsInvalid(m.M12) ||
IsInvalid(m.M21) || IsInvalid(m.M22) ||
IsInvalid(m.M31) || IsInvalid(m.M32))
{
throw new NotFiniteNumberException("Invalid value.");
}
}
/// <summary>
/// Computes the transposed matrix of a matrix.
/// </summary>
/// <param name="matrix">Matrix to transpose.</param>
/// <param name="result">Transposed matrix.</param>
public static void Transpose(ref Matrix3X2 matrix, out Matrix2X3 result)
{
result.M11 = matrix.M11;
result.M12 = matrix.M21;
result.M13 = matrix.M31;
result.M21 = matrix.M12;
result.M22 = matrix.M22;
result.M23 = matrix.M32;
}
/// <summary>
/// Multiplies the two matrices.
/// </summary>
/// <param name="a">First matrix to multiply.</param>
/// <param name="b">Second matrix to multiply.</param>
/// <param name="result">Product of the multiplication.</param>
public static void Multiply(ref Matrix3X3 a, ref Matrix3X2 b, out Matrix3X2 result)
{
float resultM11 = a.M11 * b.M11 + a.M12 * b.M21 + a.M13 * b.M31;
float resultM12 = a.M11 * b.M12 + a.M12 * b.M22 + a.M13 * b.M32;
float resultM21 = a.M21 * b.M11 + a.M22 * b.M21 + a.M23 * b.M31;
float resultM22 = a.M21 * b.M12 + a.M22 * b.M22 + a.M23 * b.M32;
float resultM31 = a.M31 * b.M11 + a.M32 * b.M21 + a.M33 * b.M31;
float resultM32 = a.M31 * b.M12 + a.M32 * b.M22 + a.M33 * b.M32;
result.M11 = resultM11;
result.M12 = resultM12;
result.M21 = resultM21;
result.M22 = resultM22;
result.M31 = resultM31;
result.M32 = resultM32;
}
/// <summary>
/// Adds the two matrices together on a per-element basis.
/// </summary>
/// <param name="a">First matrix to add.</param>
/// <param name="b">Second matrix to add.</param>
/// <param name="result">Sum of the two matrices.</param>
public static void Add(ref Matrix3X2 a, ref Matrix3X2 b, out Matrix3X2 result)
{
float m11 = a.M11 + b.M11;
float m12 = a.M12 + b.M12;
float m21 = a.M21 + b.M21;
float m22 = a.M22 + b.M22;
float m31 = a.M31 + b.M31;
float m32 = a.M32 + b.M32;
result.M11 = m11;
result.M12 = m12;
result.M21 = m21;
result.M22 = m22;
result.M31 = m31;
result.M32 = m32;
}
/// <summary>
/// Subtracts the two matrices from each other on a per-element basis.
/// </summary>
/// <param name="a">First matrix to subtract.</param>
/// <param name="b">Second matrix to subtract.</param>
/// <param name="result">Difference of the two matrices.</param>
public static void Subtract(ref Matrix3X2 a, ref Matrix3X2 b, out Matrix3X2 result)
{
float m11 = a.M11 - b.M11;
float m12 = a.M12 - b.M12;
float m21 = a.M21 - b.M21;
float m22 = a.M22 - b.M22;
float m31 = a.M31 - b.M31;
float m32 = a.M32 - b.M32;
result.M11 = m11;
result.M12 = m12;
result.M21 = m21;
result.M22 = m22;
result.M31 = m31;
result.M32 = m32;
}
/// <summary>
/// Negates every element in the matrix.
/// </summary>
/// <param name="matrix">Matrix to negate.</param>
/// <param name="result">Negated matrix.</param>
public static void Negate(ref Matrix3X2 matrix, out Matrix3X2 result)
{
float m11 = -matrix.M11;
float m12 = -matrix.M12;
float m21 = -matrix.M21;
float m22 = -matrix.M22;
float m31 = -matrix.M31;
float m32 = -matrix.M32;
result.M11 = m11;
result.M12 = m12;
result.M21 = m21;
result.M22 = m22;
result.M31 = m31;
result.M32 = m32;
}
/// <summary>
/// Adds the two matrices together on a per-element basis.
/// </summary>
/// <param name="a">First matrix to add.</param>
/// <param name="b">Second matrix to add.</param>
/// <param name="result">Sum of the two matrices.</param>
public static void Add(ref Matrix3X2 a, ref Matrix3X2 b, out Matrix3X2 result)
{
float m11 = a.M11 + b.M11;
float m12 = a.M12 + b.M12;
float m21 = a.M21 + b.M21;
float m22 = a.M22 + b.M22;
float m31 = a.M31 + b.M31;
float m32 = a.M32 + b.M32;
result.M11 = m11;
result.M12 = m12;
result.M21 = m21;
result.M22 = m22;
result.M31 = m31;
result.M32 = m32;
}
/// <summary>
/// Multiplies the two matrices.
/// </summary>
/// <param name="a">First matrix to multiply.</param>
/// <param name="b">Second matrix to multiply.</param>
/// <param name="result">Product of the multiplication.</param>
public static void Multiply(ref Matrix3X3 a, ref Matrix3X2 b, out Matrix3X2 result)
{
float resultM11 = a.M11 * b.M11 + a.M12 * b.M21 + a.M13 * b.M31;
float resultM12 = a.M11 * b.M12 + a.M12 * b.M22 + a.M13 * b.M32;
float resultM21 = a.M21 * b.M11 + a.M22 * b.M21 + a.M23 * b.M31;
float resultM22 = a.M21 * b.M12 + a.M22 * b.M22 + a.M23 * b.M32;
float resultM31 = a.M31 * b.M11 + a.M32 * b.M21 + a.M33 * b.M31;
float resultM32 = a.M31 * b.M12 + a.M32 * b.M22 + a.M33 * b.M32;
result.M11 = resultM11;
result.M12 = resultM12;
result.M21 = resultM21;
result.M22 = resultM22;
result.M31 = resultM31;
result.M32 = resultM32;
}
/// <summary>
/// Multiplies the two matrices.
/// </summary>
/// <param name="a">First matrix to multiply.</param>
/// <param name="b">Second matrix to multiply.</param>
/// <param name="result">Product of the multiplication.</param>
public static void Multiply(ref Matrix2X3 a, ref Matrix3X2 b, out Matrix2X2 result)
{
result.M11 = a.M11 * b.M11 + a.M12 * b.M21 + a.M13 * b.M31;
result.M12 = a.M11 * b.M12 + a.M12 * b.M22 + a.M13 * b.M32;
result.M21 = a.M21 * b.M11 + a.M22 * b.M21 + a.M23 * b.M31;
result.M22 = a.M21 * b.M12 + a.M22 * b.M22 + a.M23 * b.M32;
}
/// <summary>
/// Negates every element in the matrix.
/// </summary>
/// <param name="matrix">Matrix to negate.</param>
/// <param name="result">Negated matrix.</param>
public static void Negate(ref Matrix3X2 matrix, out Matrix3X2 result)
{
float m11 = -matrix.M11;
float m12 = -matrix.M12;
float m21 = -matrix.M21;
float m22 = -matrix.M22;
float m31 = -matrix.M31;
float m32 = -matrix.M32;
result.M11 = m11;
result.M12 = m12;
result.M21 = m21;
result.M22 = m22;
result.M31 = m31;
result.M32 = m32;
}
/// <summary>
/// Subtracts the two matrices from each other on a per-element basis.
/// </summary>
/// <param name="a">First matrix to subtract.</param>
/// <param name="b">Second matrix to subtract.</param>
/// <param name="result">Difference of the two matrices.</param>
public static void Subtract(ref Matrix3X2 a, ref Matrix3X2 b, out Matrix3X2 result)
{
float m11 = a.M11 - b.M11;
float m12 = a.M12 - b.M12;
float m21 = a.M21 - b.M21;
float m22 = a.M22 - b.M22;
float m31 = a.M31 - b.M31;
float m32 = a.M32 - b.M32;
result.M11 = m11;
result.M12 = m12;
result.M21 = m21;
result.M22 = m22;
result.M31 = m31;
result.M32 = m32;
}
/// <summary>
/// Computes the transposed matrix of a matrix.
/// </summary>
/// <param name="matrix">Matrix to transpose.</param>
/// <param name="result">Transposed matrix.</param>
public static void Transpose(ref Matrix2X3 matrix, out Matrix3X2 result)
{
result.M11 = matrix.M11;
result.M12 = matrix.M21;
result.M21 = matrix.M12;
result.M22 = matrix.M22;
result.M31 = matrix.M13;
result.M32 = matrix.M23;
}
/// <summary>
/// Transforms the vector by the matrix.
/// </summary>
/// <param name="v">Vector2 to transform. Considered to be a column vector for purposes of multiplication.</param>
/// <param name="matrix">Matrix to use as the transformation.</param>
/// <param name="result">Column vector product of the transformation.</param>
public static void Transform(ref Vector2 v, ref Matrix3X2 matrix, out Vector3 result)
{
#if !WINDOWS
result = new Vector3();
#endif
result.X = matrix.M11 * v.X + matrix.M12 * v.Y;
result.Y = matrix.M21 * v.X + matrix.M22 * v.Y;
result.Z = matrix.M31 * v.X + matrix.M32 * v.Y;
}
/// <summary>
/// Transforms the vector by the matrix.
/// </summary>
/// <param name="v">Vector2 to transform. Considered to be a row vector for purposes of multiplication.</param>
/// <param name="matrix">Matrix to use as the transformation.</param>
/// <param name="result">Row vector product of the transformation.</param>
public static void Transform(ref Vector3 v, ref Matrix3X2 matrix, out Vector2 result)
{
#if !WINDOWS
result = new Vector2();
#endif
result.X = v.X * matrix.M11 + v.Y * matrix.M21 + v.Z * matrix.M31;
result.Y = v.X * matrix.M12 + v.Y * matrix.M22 + v.Z * matrix.M32;
}
