/// <summary>
/// Transforms a given vector by a matrix.
/// </summary>
/// <param name="matrix">A <see cref="Matrix3F"/> instance.</param>
/// <param name="vector">A <see cref="Vector3F"/> instance.</param>
/// <returns>A new <see cref="Vector3F"/> instance containing the result.</returns>
public static Vector3F Transform(Matrix3F matrix, Vector3F vector)
{
return(new Vector3F(
(matrix.M11 * vector.X) + (matrix.M12 * vector.Y) + (matrix.M13 * vector.Z),
(matrix.M21 * vector.X) + (matrix.M22 * vector.Y) + (matrix.M23 * vector.Z),
(matrix.M31 * vector.X) + (matrix.M32 * vector.Y) + (matrix.M33 * vector.Z)));
}
/// <summary>
/// Converts the specified string to its <see cref="Matrix3F"/> equivalent.
/// A return value indicates whether the conversion succeeded or failed.
/// </summary>
/// <param name="value">A string representation of a <see cref="Matrix3F"/>.</param>
/// <param name="result">
/// When this method returns, if the conversion succeeded,
/// contains a <see cref="Matrix3F"/> representing the vector specified by <paramref name="value"/>.
/// </param>
/// <returns><see langword="true"/> if value was converted successfully; otherwise, <see langword="false"/>.</returns>
/// <remarks>
/// The string should be in the following form: "3x3..matrix elements..>".<br/>
/// Exmaple : "3x3[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]"
/// </remarks>
public static bool TryParse(string value, out Matrix3F result)
{
Regex r = new Regex(regularExp, RegexOptions.Singleline);
Match m = r.Match(value);
if (m.Success)
{
result = new Matrix3F(
float.Parse(m.Result("${m11}")),
float.Parse(m.Result("${m12}")),
float.Parse(m.Result("${m13}")),
float.Parse(m.Result("${m21}")),
float.Parse(m.Result("${m22}")),
float.Parse(m.Result("${m23}")),
float.Parse(m.Result("${m31}")),
float.Parse(m.Result("${m32}")),
float.Parse(m.Result("${m33}"))
);
return(true);
}
result = Matrix3F.Zero;
return(false);
}
/// <summary>
/// Transposes a matrix.
/// </summary>
/// <param name="m">A <see cref="Matrix3F"/> instance.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the transposed matrix.</returns>
public static Matrix3F Transpose(Matrix3F m)
{
Matrix3F t = new Matrix3F(m);
t.Transpose();
return(t);
}
/// <summary>
/// Adds a matrix and a scalar.
/// </summary>
/// <param name="matrix">A <see cref="Matrix3F"/> instance.</param>
/// <param name="scalar">A single-precision floating-point number.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the sum.</returns>
public static Matrix3F Add(Matrix3F matrix, float scalar)
{
return(new Matrix3F(
matrix.M11 + scalar, matrix.M12 + scalar, matrix.M13 + scalar,
matrix.M21 + scalar, matrix.M22 + scalar, matrix.M23 + scalar,
matrix.M31 + scalar, matrix.M32 + scalar, matrix.M33 + scalar
));
}
/// <summary>
/// Subtracts a scalar from a matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix3F"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the difference.</returns>
public static Matrix3F Subtract(Matrix3F a, float s)
{
return(new Matrix3F(
a.M11 - s, a.M12 - s, a.M13 - s,
a.M21 - s, a.M22 - s, a.M23 - s,
a.M31 - s, a.M32 - s, a.M33 - s
));
}
/// <summary>
/// Adds a matrix and a scalar.
/// </summary>
/// <param name="a">A <see cref="Matrix3F"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the sum.</returns>
public static Matrix3F Add(Matrix3F a, float s)
{
return(new Matrix3F(
a.M11 + s, a.M12 + s, a.M13 + s,
a.M21 + s, a.M22 + s, a.M23 + s,
a.M31 + s, a.M32 + s, a.M33 + s
));
}
/// <summary>
/// Subtracts a matrix from a matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix3F"/> instance to subtract from.</param>
/// <param name="b">A <see cref="Matrix3F"/> instance to subtract.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the difference.</returns>
/// <remarks>result[x][y] = a[x][y] - b[x][y]</remarks>
public static Matrix3F Subtract(Matrix3F a, Matrix3F b)
{
return(new Matrix3F(
a.M11 - b.M11, a.M12 - b.M12, a.M13 - b.M13,
a.M21 - b.M21, a.M22 - b.M22, a.M23 - b.M23,
a.M31 - b.M31, a.M32 - b.M32, a.M33 - b.M33
));
}
/// <summary>
/// Adds two matrices.
/// </summary>
/// <param name="left">A <see cref="Matrix3F"/> instance.</param>
/// <param name="right">A <see cref="Matrix3F"/> instance.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the sum.</returns>
public static Matrix3F Add(Matrix3F left, Matrix3F right)
{
return(new Matrix3F(
left.M11 + right.M11, left.M12 + right.M12, left.M13 + right.M13,
left.M21 + right.M21, left.M22 + right.M22, left.M23 + right.M23,
left.M31 + right.M31, left.M32 + right.M32, left.M33 + right.M33
));
}
/// <summary>
/// Adds two matrices.
/// </summary>
/// <param name="a">A <see cref="Matrix3F"/> instance.</param>
/// <param name="b">A <see cref="Matrix3F"/> instance.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the sum.</returns>
public static Matrix3F Add(Matrix3F a, Matrix3F b)
{
return(new Matrix3F(
a.M11 + b.M11, a.M12 + b.M12, a.M13 + b.M13,
a.M21 + b.M21, a.M22 + b.M22, a.M23 + b.M23,
a.M31 + b.M31, a.M32 + b.M32, a.M33 + b.M33
));
}
/// <summary>
/// Subtracts a matrix from a matrix.
/// </summary>
/// <param name="left">A <see cref="Matrix3F"/> instance to subtract from.</param>
/// <param name="right">A <see cref="Matrix3F"/> instance to subtract.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the difference.</returns>
/// <remarks>result[x][y] = left[x][y] - right[x][y]</remarks>
public static Matrix3F Subtract(Matrix3F left, Matrix3F right)
{
return(new Matrix3F(
left.M11 - right.M11, left.M12 - right.M12, left.M13 - right.M13,
left.M21 - right.M21, left.M22 - right.M22, left.M23 - right.M23,
left.M31 - right.M31, left.M32 - right.M32, left.M33 - right.M33
));
}
/// <summary>
/// Subtracts a scalar from a matrix.
/// </summary>
/// <param name="matrix">A <see cref="Matrix3F"/> instance.</param>
/// <param name="scalar">A single-precision floating-point number.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the difference.</returns>
public static Matrix3F Subtract(Matrix3F matrix, float scalar)
{
return(new Matrix3F(
matrix.M11 - scalar, matrix.M12 - scalar, matrix.M13 - scalar,
matrix.M21 - scalar, matrix.M22 - scalar, matrix.M23 - scalar,
matrix.M31 - scalar, matrix.M32 - scalar, matrix.M33 - scalar
));
}
/// <summary>
/// Returns a value indicating whether this instance is equal to
/// the specified object.
/// </summary>
/// <param name="obj">An object to compare to this instance.</param>
/// <returns><see langword="true"/> if <paramref name="obj"/> is a <see cref="Matrix3F"/> and has the same values as this instance; otherwise, <see langword="false"/>.</returns>
public override bool Equals(object obj)
{
if (obj is Matrix3F)
{
Matrix3F m = (Matrix3F)obj;
return
((_m11 == m.M11) && (_m12 == m.M12) && (_m13 == m.M13) &&
(_m21 == m.M21) && (_m22 == m.M22) && (_m23 == m.M23) &&
(_m31 == m.M31) && (_m32 == m.M32) && (_m33 == m.M33));
}
return(false);
}
/// <summary>
/// Subtracts a matrix from a matrix and put the result in a third matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix3F"/> instance to subtract from.</param>
/// <param name="b">A <see cref="Matrix3F"/> instance to subtract.</param>
/// <param name="result">A <see cref="Matrix3F"/> instance to hold the result.</param>
/// <remarks>result[x][y] = a[x][y] - b[x][y]</remarks>
public static void Subtract(Matrix3F a, Matrix3F b, ref Matrix3F result)
{
result.M11 = a.M11 - b.M11;
result.M12 = a.M12 - b.M12;
result.M13 = a.M13 - b.M13;
result.M21 = a.M21 - b.M21;
result.M22 = a.M22 - b.M22;
result.M23 = a.M23 - b.M23;
result.M31 = a.M31 - b.M31;
result.M32 = a.M32 - b.M32;
result.M33 = a.M33 - b.M33;
}
/// <summary>
/// Adds a matrix and a scalar and put the result in a third matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix3F"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <param name="result">A <see cref="Matrix3F"/> instance to hold the result.</param>
public static void Add(Matrix3F a, float s, ref Matrix3F result)
{
result.M11 = a.M11 + s;
result.M12 = a.M12 + s;
result.M13 = a.M13 + s;
result.M21 = a.M21 + s;
result.M22 = a.M22 + s;
result.M23 = a.M23 + s;
result.M31 = a.M31 + s;
result.M32 = a.M32 + s;
result.M33 = a.M33 + s;
}
/// <summary>
/// Adds two matrices and put the result in a third matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix3F"/> instance.</param>
/// <param name="b">A <see cref="Matrix3F"/> instance.</param>
/// <param name="result">A <see cref="Matrix3F"/> instance to hold the result.</param>
public static void Add(Matrix3F a, Matrix3F b, ref Matrix3F result)
{
result.M11 = a.M11 + b.M11;
result.M12 = a.M12 + b.M12;
result.M13 = a.M13 + b.M13;
result.M21 = a.M21 + b.M21;
result.M22 = a.M22 + b.M22;
result.M23 = a.M23 + b.M23;
result.M31 = a.M31 + b.M31;
result.M32 = a.M32 + b.M32;
result.M33 = a.M33 + b.M33;
}
/// <summary>
/// Multiplies two matrices and put the result in a third matrix.
/// </summary>
/// <param name="left">A <see cref="Matrix3F"/> instance.</param>
/// <param name="right">A <see cref="Matrix3F"/> instance.</param>
/// <param name="result">A <see cref="Matrix3F"/> instance to hold the result.</param>
public static void Multiply(Matrix3F left, Matrix3F right, ref Matrix3F result)
{
result.M11 = left.M11 * right.M11 + left.M12 * right.M21 + left.M13 * right.M31;
result.M12 = left.M11 * right.M12 + left.M12 * right.M22 + left.M13 * right.M32;
result.M13 = left.M11 * right.M13 + left.M12 * right.M23 + left.M13 * right.M33;
result.M21 = left.M21 * right.M11 + left.M22 * right.M21 + left.M23 * right.M31;
result.M22 = left.M21 * right.M12 + left.M22 * right.M22 + left.M23 * right.M32;
result.M23 = left.M21 * right.M13 + left.M22 * right.M23 + left.M23 * right.M33;
result.M31 = left.M31 * right.M11 + left.M32 * right.M21 + left.M33 * right.M31;
result.M32 = left.M31 * right.M12 + left.M32 * right.M22 + left.M33 * right.M32;
result.M33 = left.M31 * right.M13 + left.M32 * right.M23 + left.M33 * right.M33;
}
/// <summary>
/// Subtracts a scalar from a matrix and put the result in a third matrix.
/// </summary>
/// <param name="matrix">A <see cref="Matrix3F"/> instance.</param>
/// <param name="scalar">A single-precision floating-point number.</param>
/// <param name="result">A <see cref="Matrix3F"/> instance to hold the result.</param>
public static void Subtract(Matrix3F matrix, float scalar, ref Matrix3F result)
{
result.M11 = matrix.M11 - scalar;
result.M12 = matrix.M12 - scalar;
result.M13 = matrix.M13 - scalar;
result.M21 = matrix.M21 - scalar;
result.M22 = matrix.M22 - scalar;
result.M23 = matrix.M23 - scalar;
result.M31 = matrix.M31 - scalar;
result.M32 = matrix.M32 - scalar;
result.M33 = matrix.M33 - scalar;
}
/// <summary>
/// Subtracts a matrix from a matrix and put the result in a third matrix.
/// </summary>
/// <param name="left">A <see cref="Matrix3F"/> instance to subtract from.</param>
/// <param name="right">A <see cref="Matrix3F"/> instance to subtract.</param>
/// <param name="result">A <see cref="Matrix3F"/> instance to hold the result.</param>
/// <remarks>result[x][y] = left[x][y] - right[x][y]</remarks>
public static void Subtract(Matrix3F left, Matrix3F right, ref Matrix3F result)
{
result.M11 = left.M11 - right.M11;
result.M12 = left.M12 - right.M12;
result.M13 = left.M13 - right.M13;
result.M21 = left.M21 - right.M21;
result.M22 = left.M22 - right.M22;
result.M23 = left.M23 - right.M23;
result.M31 = left.M31 - right.M31;
result.M32 = left.M32 - right.M32;
result.M33 = left.M33 - right.M33;
}
/// <summary>
/// Subtracts a scalar from a matrix and put the result in a third matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix3F"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <param name="result">A <see cref="Matrix3F"/> instance to hold the result.</param>
public static void Subtract(Matrix3F a, float s, ref Matrix3F result)
{
result.M11 = a.M11 - s;
result.M12 = a.M12 - s;
result.M13 = a.M13 - s;
result.M21 = a.M21 - s;
result.M22 = a.M22 - s;
result.M23 = a.M23 - s;
result.M31 = a.M31 - s;
result.M32 = a.M32 - s;
result.M33 = a.M33 - s;
}
/// <summary>
/// Adds a matrix and a scalar and put the result in a third matrix.
/// </summary>
/// <param name="matrix">A <see cref="Matrix3F"/> instance.</param>
/// <param name="scalar">A single-precision floating-point number.</param>
/// <param name="result">A <see cref="Matrix3F"/> instance to hold the result.</param>
public static void Add(Matrix3F matrix, float scalar, ref Matrix3F result)
{
result.M11 = matrix.M11 + scalar;
result.M12 = matrix.M12 + scalar;
result.M13 = matrix.M13 + scalar;
result.M21 = matrix.M21 + scalar;
result.M22 = matrix.M22 + scalar;
result.M23 = matrix.M23 + scalar;
result.M31 = matrix.M31 + scalar;
result.M32 = matrix.M32 + scalar;
result.M33 = matrix.M33 + scalar;
}
/// <summary>
/// Adds two matrices and put the result in a third matrix.
/// </summary>
/// <param name="left">A <see cref="Matrix3F"/> instance.</param>
/// <param name="right">A <see cref="Matrix3F"/> instance.</param>
/// <param name="result">A <see cref="Matrix3F"/> instance to hold the result.</param>
public static void Add(Matrix3F left, Matrix3F right, ref Matrix3F result)
{
result.M11 = left.M11 + right.M11;
result.M12 = left.M12 + right.M12;
result.M13 = left.M13 + right.M13;
result.M21 = left.M21 + right.M21;
result.M22 = left.M22 + right.M22;
result.M23 = left.M23 + right.M23;
result.M31 = left.M31 + right.M31;
result.M32 = left.M32 + right.M32;
result.M33 = left.M33 + right.M33;
}
/// <summary>
/// Multiplies two matrices and put the result in a third matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix3F"/> instance.</param>
/// <param name="b">A <see cref="Matrix3F"/> instance.</param>
/// <param name="result">A <see cref="Matrix3F"/> instance to hold the result.</param>
public static void Multiply(Matrix3F a, Matrix3F b, ref Matrix3F 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.M13 = a.M11 * b.M13 + a.M12 * b.M23 + a.M13 * b.M33;
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;
result.M23 = a.M21 * b.M13 + a.M22 * b.M23 + a.M23 * b.M33;
result.M31 = a.M31 * b.M11 + a.M32 * b.M21 + a.M33 * b.M31;
result.M32 = a.M31 * b.M12 + a.M32 * b.M22 + a.M33 * b.M32;
result.M33 = a.M31 * b.M13 + a.M32 * b.M23 + a.M33 * b.M33;
}
/// <summary>
/// Multiplies two matrices.
/// </summary>
/// <param name="left">A <see cref="Matrix3F"/> instance.</param>
/// <param name="right">A <see cref="Matrix3F"/> instance.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the result.</returns>
public static Matrix3F Multiply(Matrix3F left, Matrix3F right)
{
return(new Matrix3F(
left.M11 * right.M11 + left.M12 * right.M21 + left.M13 * right.M31,
left.M11 * right.M12 + left.M12 * right.M22 + left.M13 * right.M32,
left.M11 * right.M13 + left.M12 * right.M23 + left.M13 * right.M33,
left.M21 * right.M11 + left.M22 * right.M21 + left.M23 * right.M31,
left.M21 * right.M12 + left.M22 * right.M22 + left.M23 * right.M32,
left.M21 * right.M13 + left.M22 * right.M23 + left.M23 * right.M33,
left.M31 * right.M11 + left.M32 * right.M21 + left.M33 * right.M31,
left.M31 * right.M12 + left.M32 * right.M22 + left.M33 * right.M32,
left.M31 * right.M13 + left.M32 * right.M23 + left.M33 * right.M33
));
}
/// <summary>
/// Multiplies two matrices.
/// </summary>
/// <param name="a">A <see cref="Matrix3F"/> instance.</param>
/// <param name="b">A <see cref="Matrix3F"/> instance.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the result.</returns>
public static Matrix3F Multiply(Matrix3F a, Matrix3F b)
{
return(new Matrix3F(
a.M11 * b.M11 + a.M12 * b.M21 + a.M13 * b.M31,
a.M11 * b.M12 + a.M12 * b.M22 + a.M13 * b.M32,
a.M11 * b.M13 + a.M12 * b.M23 + a.M13 * b.M33,
a.M21 * b.M11 + a.M22 * b.M21 + a.M23 * b.M31,
a.M21 * b.M12 + a.M22 * b.M22 + a.M23 * b.M32,
a.M21 * b.M13 + a.M22 * b.M23 + a.M23 * b.M33,
a.M31 * b.M11 + a.M32 * b.M21 + a.M33 * b.M31,
a.M31 * b.M12 + a.M32 * b.M22 + a.M33 * b.M32,
a.M31 * b.M13 + a.M32 * b.M23 + a.M33 * b.M33
));
}
/// <summary>
/// Build a 3x3 matrix from from the current matrix without the given row and column.
/// </summary>
/// <param name="row">The row to remove.</param>
/// <param name="column">The column to remove.</param>
/// <returns>A <see cref="Matrix3D"/> instance containing the result Minor.</returns>
public Matrix3F Minor(int row, int column)
{
int r = 0;
Matrix3F result = new Matrix3F();
for (int iRow = 0; iRow < 4; iRow++)
{
int c = 0;
if (iRow != row)
{
for (int iCol = 0; iCol < 4; iCol++)
{
if (iCol != column)
{
result[r, c] = this[iRow, iCol];
c++;
}
}
r++;
}
}
return(result);
}
/// <summary>
/// Adds two matrices and put the result in a third matrix.
/// </summary>
/// <param name="left">A <see cref="Matrix3F"/> instance.</param>
/// <param name="right">A <see cref="Matrix3F"/> instance.</param>
/// <param name="result">A <see cref="Matrix3F"/> instance to hold the result.</param>
public static void Add(Matrix3F left, Matrix3F right, ref Matrix3F result)
{
result.M11 = left.M11 + right.M11;
result.M12 = left.M12 + right.M12;
result.M13 = left.M13 + right.M13;
result.M21 = left.M21 + right.M21;
result.M22 = left.M22 + right.M22;
result.M23 = left.M23 + right.M23;
result.M31 = left.M31 + right.M31;
result.M32 = left.M32 + right.M32;
result.M33 = left.M33 + right.M33;
}
/// <summary>
/// Adds a matrix and a scalar.
/// </summary>
/// <param name="matrix">A <see cref="Matrix3F"/> instance.</param>
/// <param name="scalar">A single-precision floating-point number.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the sum.</returns>
public static Matrix3F Add(Matrix3F matrix, float scalar)
{
return new Matrix3F(
matrix.M11 + scalar, matrix.M12 + scalar, matrix.M13 + scalar,
matrix.M21 + scalar, matrix.M22 + scalar, matrix.M23 + scalar,
matrix.M31 + scalar, matrix.M32 + scalar, matrix.M33 + scalar
);
}
/// <summary>
/// Transforms a given vector by a matrix and put the result in a vector.
/// </summary>
/// <param name="matrix">A <see cref="Matrix3F"/> instance.</param>
/// <param name="vector">A <see cref="Vector3F"/> instance.</param>
/// <param name="result">A <see cref="Vector3F"/> instance to hold the result.</param>
public static void Transform(Matrix3F matrix, Vector3F vector, ref Vector3F result)
{
result.X = (matrix.M11 * vector.X) + (matrix.M12 * vector.Y) + (matrix.M13 * vector.Z);
result.Y = (matrix.M21 * vector.X) + (matrix.M22 * vector.Y) + (matrix.M23 * vector.Z);
result.Z = (matrix.M31 * vector.X) + (matrix.M32 * vector.Y) + (matrix.M33 * vector.Z);
}
/// <summary>
/// Multiplies two matrices and put the result in a third matrix.
/// </summary>
/// <param name="left">A <see cref="Matrix3F"/> instance.</param>
/// <param name="right">A <see cref="Matrix3F"/> instance.</param>
/// <param name="result">A <see cref="Matrix3F"/> instance to hold the result.</param>
public static void Multiply(Matrix3F left, Matrix3F right, ref Matrix3F result)
{
result.M11 = left.M11 * right.M11 + left.M12 * right.M21 + left.M13 * right.M31;
result.M12 = left.M11 * right.M12 + left.M12 * right.M22 + left.M13 * right.M32;
result.M13 = left.M11 * right.M13 + left.M12 * right.M23 + left.M13 * right.M33;
result.M21 = left.M21 * right.M11 + left.M22 * right.M21 + left.M23 * right.M31;
result.M22 = left.M21 * right.M12 + left.M22 * right.M22 + left.M23 * right.M32;
result.M23 = left.M21 * right.M13 + left.M22 * right.M23 + left.M23 * right.M33;
result.M31 = left.M31 * right.M11 + left.M32 * right.M21 + left.M33 * right.M31;
result.M32 = left.M31 * right.M12 + left.M32 * right.M22 + left.M33 * right.M32;
result.M33 = left.M31 * right.M13 + left.M32 * right.M23 + left.M33 * right.M33;
}
/// <summary>
/// Subtracts a scalar from a matrix and put the result in a third matrix.
/// </summary>
/// <param name="matrix">A <see cref="Matrix3F"/> instance.</param>
/// <param name="scalar">A single-precision floating-point number.</param>
/// <param name="result">A <see cref="Matrix3F"/> instance to hold the result.</param>
public static void Subtract(Matrix3F matrix, float scalar, ref Matrix3F result)
{
result.M11 = matrix.M11 - scalar;
result.M12 = matrix.M12 - scalar;
result.M13 = matrix.M13 - scalar;
result.M21 = matrix.M21 - scalar;
result.M22 = matrix.M22 - scalar;
result.M23 = matrix.M23 - scalar;
result.M31 = matrix.M31 - scalar;
result.M32 = matrix.M32 - scalar;
result.M33 = matrix.M33 - scalar;
}
/// <summary>
/// Subtracts a scalar from a matrix.
/// </summary>
/// <param name="matrix">A <see cref="Matrix3F"/> instance.</param>
/// <param name="scalar">A single-precision floating-point number.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the difference.</returns>
public static Matrix3F Subtract(Matrix3F matrix, float scalar)
{
return new Matrix3F(
matrix.M11 - scalar, matrix.M12 - scalar, matrix.M13 - scalar,
matrix.M21 - scalar, matrix.M22 - scalar, matrix.M23 - scalar,
matrix.M31 - scalar, matrix.M32 - scalar, matrix.M33 - scalar
);
}
/// <summary>
/// Subtracts a scalar from a matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix3F"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the difference.</returns>
public static Matrix3F operator-(Matrix3F a, float s)
{
return(Matrix3F.Subtract(a, s));
}
/// <summary>
/// Subtracts a matrix from a matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix3F"/> instance.</param>
/// <param name="b">A <see cref="Matrix3F"/> instance.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the difference.</returns>
public static Matrix3F operator-(Matrix3F a, Matrix3F b)
{
return(Matrix3F.Subtract(a, b));
}
/// <summary>
/// Adds a matrix and a scalar.
/// </summary>
/// <param name="a">A <see cref="Matrix3F"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the sum.</returns>
public static Matrix3F operator+(float s, Matrix3F a)
{
return(Matrix3F.Add(a, s));
}
/// <summary>
/// Adds a matrix and a scalar and put the result in a third matrix.
/// </summary>
/// <param name="matrix">A <see cref="Matrix3F"/> instance.</param>
/// <param name="scalar">A single-precision floating-point number.</param>
/// <param name="result">A <see cref="Matrix3F"/> instance to hold the result.</param>
public static void Add(Matrix3F matrix, float scalar, ref Matrix3F result)
{
result.M11 = matrix.M11 + scalar;
result.M12 = matrix.M12 + scalar;
result.M13 = matrix.M13 + scalar;
result.M21 = matrix.M21 + scalar;
result.M22 = matrix.M22 + scalar;
result.M23 = matrix.M23 + scalar;
result.M31 = matrix.M31 + scalar;
result.M32 = matrix.M32 + scalar;
result.M33 = matrix.M33 + scalar;
}
/// <summary>
/// Subtracts a matrix from a matrix.
/// </summary>
/// <param name="left">A <see cref="Matrix3F"/> instance to subtract from.</param>
/// <param name="right">A <see cref="Matrix3F"/> instance to subtract.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the difference.</returns>
/// <remarks>result[x][y] = left[x][y] - right[x][y]</remarks>
public static Matrix3F Subtract(Matrix3F left, Matrix3F right)
{
return new Matrix3F(
left.M11 - right.M11, left.M12 - right.M12, left.M13 - right.M13,
left.M21 - right.M21, left.M22 - right.M22, left.M23 - right.M23,
left.M31 - right.M31, left.M32 - right.M32, left.M33 - right.M33
);
}
/// <summary>
/// Multiplies two matrices.
/// </summary>
/// <param name="a">A <see cref="Matrix3F"/> instance.</param>
/// <param name="b">A <see cref="Matrix3F"/> instance.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the result.</returns>
public static Matrix3F operator*(Matrix3F a, Matrix3F b)
{
return(Matrix3F.Multiply(a, b));
}
/// <summary>
/// Subtracts a matrix from a matrix and put the result in a third matrix.
/// </summary>
/// <param name="left">A <see cref="Matrix3F"/> instance to subtract from.</param>
/// <param name="right">A <see cref="Matrix3F"/> instance to subtract.</param>
/// <param name="result">A <see cref="Matrix3F"/> instance to hold the result.</param>
/// <remarks>result[x][y] = left[x][y] - right[x][y]</remarks>
public static void Subtract(Matrix3F left, Matrix3F right, ref Matrix3F result)
{
result.M11 = left.M11 - right.M11;
result.M12 = left.M12 - right.M12;
result.M13 = left.M13 - right.M13;
result.M21 = left.M21 - right.M21;
result.M22 = left.M22 - right.M22;
result.M23 = left.M23 - right.M23;
result.M31 = left.M31 - right.M31;
result.M32 = left.M32 - right.M32;
result.M33 = left.M33 - right.M33;
}
/// <summary>
/// Transforms a given vector by a matrix.
/// </summary>
/// <param name="matrix">A <see cref="Matrix3F"/> instance.</param>
/// <param name="vector">A <see cref="Vector3F"/> instance.</param>
/// <returns>A new <see cref="Vector3F"/> instance containing the result.</returns>
public static Vector3F operator*(Matrix3F matrix, Vector3F vector)
{
return(Matrix3F.Transform(matrix, vector));
}
/// <summary>
/// Multiplies two matrices.
/// </summary>
/// <param name="left">A <see cref="Matrix3F"/> instance.</param>
/// <param name="right">A <see cref="Matrix3F"/> instance.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the result.</returns>
public static Matrix3F Multiply(Matrix3F left, Matrix3F right)
{
return new Matrix3F(
left.M11 * right.M11 + left.M12 * right.M21 + left.M13 * right.M31,
left.M11 * right.M12 + left.M12 * right.M22 + left.M13 * right.M32,
left.M11 * right.M13 + left.M12 * right.M23 + left.M13 * right.M33,
left.M21 * right.M11 + left.M22 * right.M21 + left.M23 * right.M31,
left.M21 * right.M12 + left.M22 * right.M22 + left.M23 * right.M32,
left.M21 * right.M13 + left.M22 * right.M23 + left.M23 * right.M33,
left.M31 * right.M11 + left.M32 * right.M21 + left.M33 * right.M31,
left.M31 * right.M12 + left.M32 * right.M22 + left.M33 * right.M32,
left.M31 * right.M13 + left.M32 * right.M23 + left.M33 * right.M33
);
}
/// <summary>
/// Initializes a new instance of the <see cref="Matrix3F"/> class using a given matrix.
/// </summary>
public Matrix3F(Matrix3F m)
{
_m11 = m.M11; _m12 = m.M12; _m13 = m.M13;
_m21 = m.M21; _m22 = m.M22; _m23 = m.M23;
_m31 = m.M31; _m32 = m.M32; _m33 = m.M33;
}
/// <summary>
/// Transforms a given vector by a matrix.
/// </summary>
/// <param name="matrix">A <see cref="Matrix3F"/> instance.</param>
/// <param name="vector">A <see cref="Vector3F"/> instance.</param>
/// <returns>A new <see cref="Vector3F"/> instance containing the result.</returns>
public static Vector3F Transform(Matrix3F matrix, Vector3F vector)
{
return new Vector3F(
(matrix.M11 * vector.X) + (matrix.M12 * vector.Y) + (matrix.M13 * vector.Z),
(matrix.M21 * vector.X) + (matrix.M22 * vector.Y) + (matrix.M23 * vector.Z),
(matrix.M31 * vector.X) + (matrix.M32 * vector.Y) + (matrix.M33 * vector.Z));
}
/// <summary>
/// Converts the specified string to its <see cref="Matrix3F"/> equivalent.
/// A return value indicates whether the conversion succeeded or failed.
/// </summary>
/// <param name="value">A string representation of a <see cref="Matrix3F"/>.</param>
/// <param name="result">
/// When this method returns, if the conversion succeeded,
/// contains a <see cref="Matrix3F"/> representing the vector specified by <paramref name="value"/>.
/// </param>
/// <returns><see langword="true"/> if value was converted successfully; otherwise, <see langword="false"/>.</returns>
/// <remarks>
/// The string should be in the following form: "3x3..matrix elements..>".<br/>
/// Exmaple : "3x3[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]"
/// </remarks>
public static bool TryParse(string value, out Matrix3F result)
{
Regex r = new Regex(regularExp, RegexOptions.Singleline);
Match m = r.Match(value);
if (m.Success)
{
result = new Matrix3F(
float.Parse(m.Result("${m11}")),
float.Parse(m.Result("${m12}")),
float.Parse(m.Result("${m13}")),
float.Parse(m.Result("${m21}")),
float.Parse(m.Result("${m22}")),
float.Parse(m.Result("${m23}")),
float.Parse(m.Result("${m31}")),
float.Parse(m.Result("${m32}")),
float.Parse(m.Result("${m33}"))
);
return true;
}
result = Matrix3F.Zero;
return false;
}
/// <summary>
/// Transposes a matrix.
/// </summary>
/// <param name="m">A <see cref="Matrix3F"/> instance.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the transposed matrix.</returns>
public static Matrix3F Transpose(Matrix3F m)
{
Matrix3F t = new Matrix3F(m);
t.Transpose();
return t;
}
/// <summary>
/// Adds two matrices.
/// </summary>
/// <param name="left">A <see cref="Matrix3F"/> instance.</param>
/// <param name="right">A <see cref="Matrix3F"/> instance.</param>
/// <returns>A new <see cref="Matrix3F"/> instance containing the sum.</returns>
public static Matrix3F Add(Matrix3F left, Matrix3F right)
{
return new Matrix3F(
left.M11 + right.M11, left.M12 + right.M12, left.M13 + right.M13,
left.M21 + right.M21, left.M22 + right.M22, left.M23 + right.M23,
left.M31 + right.M31, left.M32 + right.M32, left.M33 + right.M33
);
}