/// <summary> /// Returns the specified submatrix of the given matrix. /// </summary> /// <param name="matrix">The matrix whose submatrix is to returned.</param> /// <param name="row">The row to be removed.</param> /// <param name="column">The column to be removed.</param> public static Vector2d Submatrix(Matrix3x2d matrix, int row, int column) { if (row < 0 || row > 2) { throw new ArgumentOutOfRangeException("row", "Rows for Matrix3x2d run from 0 to 2, inclusive."); } if (column < 0 || column > 1) { throw new ArgumentOutOfRangeException("column", "Columns for Matrix3x2d run from 0 to 1, inclusive."); } if (row == 0 && column == 0) { return(new Vector2d(matrix.M22, matrix.M32)); } else if (row == 0 && column == 1) { return(new Vector2d(matrix.M21, matrix.M31)); } else if (row == 1 && column == 0) { return(new Vector2d(matrix.M12, matrix.M32)); } else if (row == 1 && column == 1) { return(new Vector2d(matrix.M11, matrix.M31)); } else if (row == 2 && column == 0) { return(new Vector2d(matrix.M12, matrix.M22)); } else { return(new Vector2d(matrix.M11, matrix.M21)); } }
/// <summary> /// Returns a matrix where each element is the smallest integral value that /// is greater than or equal to the specified element. /// </summary> /// <param name="value">A matrix.</param> /// <returns>The ceiling of value.</returns> public static Matrix3x2d Ceiling(Matrix3x2d value) { return(new Matrix3x2d(Functions.Ceiling(value.M11), Functions.Ceiling(value.M21), Functions.Ceiling(value.M31), Functions.Ceiling(value.M12), Functions.Ceiling(value.M22), Functions.Ceiling(value.M32))); }
/// <summary> /// Constrains each element to a given range. /// </summary> /// <param name="value">A matrix to constrain.</param> /// <param name="min">The minimum values for each element.</param> /// <param name="max">The maximum values for each element.</param> /// <returns>A matrix with each element constrained to the given range.</returns> public static Matrix3x2d Clamp(Matrix3x2d value, Matrix3x2d min, Matrix3x2d max) { return(new Matrix3x2d(Functions.Clamp(value.M11, min.M11, max.M11), Functions.Clamp(value.M21, min.M21, max.M21), Functions.Clamp(value.M31, min.M31, max.M31), Functions.Clamp(value.M12, min.M12, max.M12), Functions.Clamp(value.M22, min.M22, max.M22), Functions.Clamp(value.M32, min.M32, max.M32))); }
/// <summary> /// Returns a matrix that contains the highest value from each pair of elements. /// </summary> /// <param name="value1">The first matrix.</param> /// <param name="value2">The second matrix.</param> /// <returns>The highest of each element in left and the matching element in right.</returns> public static Matrix3x2d Max(Matrix3x2d value1, Matrix3x2d value2) { return(new Matrix3x2d(Functions.Max(value1.M11, value2.M11), Functions.Max(value1.M21, value2.M21), Functions.Max(value1.M31, value2.M31), Functions.Max(value1.M12, value2.M12), Functions.Max(value1.M22, value2.M22), Functions.Max(value1.M32, value2.M32))); }
public static Matrix3x2d Negate(Matrix3x2d value) { return(new Matrix3x2d(-value.M11, -value.M21, -value.M31, -value.M12, -value.M22, -value.M32)); }
/// <summary> /// Returns a matrix where each element is rounded to the nearest integral value. /// </summary> /// <param name="value">A matrix.</param> /// <returns>The result of rounding value.</returns> public static Matrix3x2d Round(Matrix3x2d value) { return(new Matrix3x2d(Functions.Round(value.M11), Functions.Round(value.M21), Functions.Round(value.M31), Functions.Round(value.M12), Functions.Round(value.M22), Functions.Round(value.M32))); }
/// <summary> /// Returns a matrix where each element is rounded to the nearest integral value. /// </summary> /// <param name="value">A matrix.</param> /// <param name="digits">The number of fractional digits in the return value.</param> /// <param name="mode">Specification for how to round value if it is midway between two other numbers.</param> /// <returns>The result of rounding value.</returns> public static Matrix3x2d Round(Matrix3x2d value, int digits, MidpointRounding mode) { return(new Matrix3x2d(Functions.Round(value.M11, digits, mode), Functions.Round(value.M21, digits, mode), Functions.Round(value.M31, digits, mode), Functions.Round(value.M12, digits, mode), Functions.Round(value.M22, digits, mode), Functions.Round(value.M32, digits, mode))); }
public static Matrix3x2d Divide(Matrix3x2d matrix, double scalar) { return(new Matrix3x2d(matrix.M11 / scalar, matrix.M21 / scalar, matrix.M31 / scalar, matrix.M12 / scalar, matrix.M22 / scalar, matrix.M32 / scalar)); }
/// <summary> /// Determines whether all elements of a matrix are non-zero. /// </summary> /// <param name="value">A matrix.</param> /// <returns>true if all elements are non-zero; false otherwise.</returns> public static bool All(Matrix3x2d value) { return(value.M11 != 0 && value.M21 != 0 && value.M31 != 0 && value.M12 != 0 && value.M22 != 0 && value.M32 != 0); }
public static Matrix3x4d Multiply(Matrix3x2d left, Matrix2x4d right) { return(new Matrix3x4d(left.M11 * right.M11 + left.M12 * right.M21, left.M21 * right.M11 + left.M22 * right.M21, left.M31 * right.M11 + left.M32 * right.M21, left.M11 * right.M12 + left.M12 * right.M22, left.M21 * right.M12 + left.M22 * right.M22, left.M31 * right.M12 + left.M32 * right.M22, left.M11 * right.M13 + left.M12 * right.M23, left.M21 * right.M13 + left.M22 * right.M23, left.M31 * right.M13 + left.M32 * right.M23, left.M11 * right.M14 + left.M12 * right.M24, left.M21 * right.M14 + left.M22 * right.M24, left.M31 * right.M14 + left.M32 * right.M24)); }
public static Matrix3x2d Multiply(Matrix3x2d matrix, double scalar) { return(new Matrix3x2d(matrix.M11 * scalar, matrix.M21 * scalar, matrix.M31 * scalar, matrix.M12 * scalar, matrix.M22 * scalar, matrix.M32 * scalar)); }
public static Matrix3x2d Multiply(Matrix3x2d left, Matrix2x2d right) { return(new Matrix3x2d(left.M11 * right.M11 + left.M12 * right.M21, left.M21 * right.M11 + left.M22 * right.M21, left.M31 * right.M11 + left.M32 * right.M21, left.M11 * right.M12 + left.M12 * right.M22, left.M21 * right.M12 + left.M22 * right.M22, left.M31 * right.M12 + left.M32 * right.M22)); }
public static Matrix3x2d Subtract(Matrix3x2d left, Matrix3x2d right) { return(new Matrix3x2d(left.M11 - right.M11, left.M21 - right.M21, left.M31 - right.M31, left.M12 - right.M12, left.M22 - right.M22, left.M32 - right.M32)); }
public static Matrix3x2d Add(Matrix3x2d left, Matrix3x2d right) { return(new Matrix3x2d(left.M11 + right.M11, left.M21 + right.M21, left.M31 + right.M31, left.M12 + right.M12, left.M22 + right.M22, left.M32 + right.M32)); }
/// <summary> /// Returns a matrix where each element is the integral part of the specified element. /// </summary> /// <param name="value">A matrix.</param> /// <returns>The integral of value.</returns> public static Matrix3x2d Truncate(Matrix3x2d value) { return(new Matrix3x2d(Functions.Truncate(value.M11), Functions.Truncate(value.M21), Functions.Truncate(value.M31), Functions.Truncate(value.M12), Functions.Truncate(value.M22), Functions.Truncate(value.M32))); }
/// <summary> /// Determines whether any element of a matrix is non-zero. /// </summary> /// <param name="value">A vector.</param> /// <returns>true if any elements are non-zero; false otherwise.</returns> public static bool Any(Matrix3x2d value) { return(value.M11 != 0 || value.M21 != 0 || value.M31 != 0 || value.M12 != 0 || value.M22 != 0 || value.M32 != 0); }
/// <summary> /// Returns a matrix where each element is the fractional part of the specified element. /// </summary> /// <param name="value">A matrix.</param> /// <returns>The fractional of value.</returns> public static Matrix3x2d Fractional(Matrix3x2d value) { return(new Matrix3x2d(Functions.Fractional(value.M11), Functions.Fractional(value.M21), Functions.Fractional(value.M31), Functions.Fractional(value.M12), Functions.Fractional(value.M22), Functions.Fractional(value.M32))); }
/// <summary> /// Determines whether any elements of a matrix satisfy a condition. /// </summary> /// <param name="value">A vector.</param> /// <param name="predicate">A function to test each element for a condition.</param> /// <returns>true if any element of the matrix passes the test in the specified /// predicate; otherwise, false.</returns> public static bool Any(Matrix3x2d value, Predicate <double> predicate) { return(predicate(value.M11) || predicate(value.M21) || predicate(value.M31) || predicate(value.M12) || predicate(value.M22) || predicate(value.M32)); }
/// <summary> /// Returns a matrix where each element is rounded to the nearest integral value. /// </summary> /// <param name="value">A matrix.</param> /// <param name="digits">The number of fractional digits in the return value.</param> /// <returns>The result of rounding value.</returns> public static Matrix3x2d Round(Matrix3x2d value, int digits) { return(new Matrix3x2d(Functions.Round(value.M11, digits), Functions.Round(value.M21, digits), Functions.Round(value.M31, digits), Functions.Round(value.M12, digits), Functions.Round(value.M22, digits), Functions.Round(value.M32, digits))); }
/// <summary> /// Maps the elements of a matrix and returns the result. /// </summary> /// <param name="value">The matrix to map.</param> /// <param name="mapping">A mapping function to apply to each element.</param> /// <returns>The result of mapping each element of value.</returns> public static Matrix3x2f Map(Matrix3x2d value, Func <double, float> mapping) { return(new Matrix3x2f(mapping(value.M11), mapping(value.M21), mapping(value.M31), mapping(value.M12), mapping(value.M22), mapping(value.M32))); }
/// <summary> /// Calculates the reciprocal of each element in the matrix. /// </summary> /// <param name="value">A matrix.</param> /// <returns>A matrix with the reciprocal of each of values elements.</returns> public static Matrix3x2d Reciprocal(Matrix3x2d value) { return(new Matrix3x2d(1 / value.M11, 1 / value.M21, 1 / value.M31, 1 / value.M12, 1 / value.M22, 1 / value.M32)); }
/// <summary> /// Multiplys the elements of two matrices and returns the result. /// </summary> /// <param name="left">The first matrix to modulate.</param> /// <param name="right">The second matrix to modulate.</param> /// <returns>The result of multiplying each element of left by the matching element in right.</returns> public static Matrix3x2d Modulate(Matrix3x2d left, Matrix3x2d right) { return(new Matrix3x2d(left.M11 * right.M11, left.M21 * right.M21, left.M31 * right.M31, left.M12 * right.M12, left.M22 * right.M22, left.M32 * right.M32)); }
/// <summary> /// Calculates the transpose of the specified matrix. /// </summary> /// <param name="matrix">The matrix whose transpose is to be calculated.</param> /// <returns>The transpose of the specified matrix.</returns> public static Matrix2x3d Transpose(Matrix3x2d matrix) { return(new Matrix2x3d(matrix.M11, matrix.M12, matrix.M21, matrix.M22, matrix.M31, matrix.M32)); }
public static Matrix4x2d Multiply(Matrix4x3d left, Matrix3x2d right) { return(new Matrix4x2d(left.M11 * right.M11 + left.M12 * right.M21 + left.M13 * right.M31, left.M21 * right.M11 + left.M22 * right.M21 + left.M23 * right.M31, left.M31 * right.M11 + left.M32 * right.M21 + left.M33 * right.M31, left.M41 * right.M11 + left.M42 * right.M21 + left.M43 * right.M31, left.M11 * right.M12 + left.M12 * right.M22 + left.M13 * right.M32, left.M21 * right.M12 + left.M22 * right.M22 + left.M23 * right.M32, left.M31 * right.M12 + left.M32 * right.M22 + left.M33 * right.M32, left.M41 * right.M12 + left.M42 * right.M22 + left.M43 * right.M32)); }