/// <summary>
/// Transforms the vector by the matrix.
/// </summary>
/// <param name="v">FixVector2 to transform. Considered to be a column vector for purposes of multiplication.</param>
/// <param name="matrix">FixMatrix to use as the transformation.</param>
/// <param name="result">Column vector product of the transformation.</param>
public static void Transform(ref fix3 v, ref fix2x3 matrix, out fix2 result)
{
#if !WINDOWS
result = new fix2();
#endif
result.x = matrix.M11 * v.x + matrix.M12 * v.y + matrix.M13 * v.z;
result.y = matrix.M21 * v.x + matrix.M22 * v.y + matrix.M23 * v.z;
}
/// <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 fix2x3 a, ref fix3x2 b, out fix2x2 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">FixVector2 to transform. Considered to be a row vector for purposes of multiplication.</param>
/// <param name="matrix">FixMatrix to use as the transformation.</param>
/// <param name="result">Row vector product of the transformation.</param>
public static void Transform(ref fix2 v, ref fix2x3 matrix, out fix3 result)
{
#if !WINDOWS
result = new fix3();
#endif
result.x = v.x * matrix.M11 + v.y * matrix.M21;
result.y = v.x * matrix.M12 + v.y * matrix.M22;
result.z = v.x * matrix.M13 + v.y * matrix.M23;
}
/// <summary>
/// Computes the transposed matrix of a matrix.
/// </summary>
/// <param name="matrix">FixMatrix to transpose.</param>
/// <param name="result">Transposed matrix.</param>
public static void Transpose(ref fix3x2 matrix, out fix2x3 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 fix2x3 a, ref fix3x3 b, out fix2x3 result)
{
fix resultM11 = a.M11 * b.M11 + a.M12 * b.M21 + a.M13 * b.M31;
fix resultM12 = a.M11 * b.M12 + a.M12 * b.M22 + a.M13 * b.M32;
fix resultM13 = a.M11 * b.M13 + a.M12 * b.M23 + a.M13 * b.M33;
fix resultM21 = a.M21 * b.M11 + a.M22 * b.M21 + a.M23 * b.M31;
fix resultM22 = a.M21 * b.M12 + a.M22 * b.M22 + a.M23 * b.M32;
fix resultM23 = a.M21 * b.M13 + a.M22 * b.M23 + a.M23 * b.M33;
result.M11 = resultM11;
result.M12 = resultM12;
result.M13 = resultM13;
result.M21 = resultM21;
result.M22 = resultM22;
result.M23 = resultM23;
}
/// <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 fix2x3 a, ref fix2x3 b, out fix2x3 result)
{
fix m11 = a.M11 + b.M11;
fix m12 = a.M12 + b.M12;
fix m13 = a.M13 + b.M13;
fix m21 = a.M21 + b.M21;
fix m22 = a.M22 + b.M22;
fix m23 = a.M23 + b.M23;
result.M11 = m11;
result.M12 = m12;
result.M13 = m13;
result.M21 = m21;
result.M22 = m22;
result.M23 = m23;
}
/// <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 fix2x3 a, ref fix2x3 b, out fix2x3 result)
{
fix m11 = a.M11 - b.M11;
fix m12 = a.M12 - b.M12;
fix m13 = a.M13 - b.M13;
fix m21 = a.M21 - b.M21;
fix m22 = a.M22 - b.M22;
fix m23 = a.M23 - b.M23;
result.M11 = m11;
result.M12 = m12;
result.M13 = m13;
result.M21 = m21;
result.M22 = m22;
result.M23 = m23;
}
/// <summary>
/// Negates every element in the matrix.
/// </summary>
/// <param name="matrix">FixMatrix to negate.</param>
/// <param name="result">Negated matrix.</param>
public static void Negate(ref fix2x3 matrix, out fix2x3 result)
{
fix m11 = -matrix.M11;
fix m12 = -matrix.M12;
fix m13 = -matrix.M13;
fix m21 = -matrix.M21;
fix m22 = -matrix.M22;
fix m23 = -matrix.M23;
result.M11 = m11;
result.M12 = m12;
result.M13 = m13;
result.M21 = m21;
result.M22 = m22;
result.M23 = m23;
}
