/// <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 Matrix2x2d Ceiling(Matrix2x2d value)
{
return(new Matrix2x2d(Functions.Ceiling(value.M11), Functions.Ceiling(value.M21), Functions.Ceiling(value.M12), Functions.Ceiling(value.M22)));
}
/// <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 Matrix2x2d Truncate(Matrix2x2d value)
{
return(new Matrix2x2d(Functions.Truncate(value.M11), Functions.Truncate(value.M21), Functions.Truncate(value.M12), Functions.Truncate(value.M22)));
}
/// <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 Matrix2x2d Transpose(Matrix2x2d matrix)
{
return(new Matrix2x2d(matrix.M11, matrix.M12, matrix.M21, matrix.M22));
}
public static Matrix2x2d Add(Matrix2x2d left, Matrix2x2d right)
{
return(new Matrix2x2d(left.M11 + right.M11, left.M21 + right.M21, left.M12 + right.M12, left.M22 + right.M22));
}
/// <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 Matrix2x2d Reciprocal(Matrix2x2d value)
{
return(new Matrix2x2d(1 / value.M11, 1 / value.M21, 1 / value.M12, 1 / value.M22));
}
/// <summary>
/// Calculates the inverse of the specified matrix.
/// </summary>
/// <param name="matrix">The matrix whose inverse is to be calculated.</param>
/// <param name="determinant">When the method completes, contains the determinant of the matrix.</param>
public static Matrix2x2d Invert(Matrix2x2d matrix)
{
double determinant;
return(Invert(matrix, out determinant));
}
/// <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(Matrix2x2d value)
{
return(value.M11 != 0 || value.M21 != 0 || value.M12 != 0 || value.M22 != 0);
}
/// <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 Matrix2x2d Round(Matrix2x2d value, int digits)
{
return(new Matrix2x2d(Functions.Round(value.M11, digits), Functions.Round(value.M21, digits), Functions.Round(value.M12, digits), Functions.Round(value.M22, digits)));
}
public static Matrix2x2d Divide(Matrix2x2d matrix, double scalar)
{
return(new Matrix2x2d(matrix.M11 / scalar, matrix.M21 / scalar, matrix.M12 / scalar, matrix.M22 / 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(Matrix2x2d value)
{
return(value.M11 != 0 && value.M21 != 0 && value.M12 != 0 && value.M22 != 0);
}
public static Matrix2x2d Multiply(Matrix2x2d matrix, double scalar)
{
return(new Matrix2x2d(matrix.M11 * scalar, matrix.M21 * scalar, matrix.M12 * scalar, matrix.M22 * scalar));
}
public static Matrix2x4d Multiply(Matrix2x2d left, Matrix2x4d right)
{
return(new Matrix2x4d(left.M11 * right.M11 + left.M12 * right.M21, left.M21 * right.M11 + left.M22 * right.M21, left.M11 * right.M12 + left.M12 * right.M22, left.M21 * right.M12 + left.M22 * right.M22, left.M11 * right.M13 + left.M12 * right.M23, left.M21 * right.M13 + left.M22 * right.M23, left.M11 * right.M14 + left.M12 * right.M24, left.M21 * right.M14 + left.M22 * right.M24));
}
public static Matrix2x2d Subtract(Matrix2x2d left, Matrix2x2d right)
{
return(new Matrix2x2d(left.M11 - right.M11, left.M21 - right.M21, left.M12 - right.M12, left.M22 - right.M22));
}
/// <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 Matrix2x2d Fractional(Matrix2x2d value)
{
return(new Matrix2x2d(Functions.Fractional(value.M11), Functions.Fractional(value.M21), Functions.Fractional(value.M12), Functions.Fractional(value.M22)));
}
/// <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(Matrix2x2d value, Predicate <double> predicate)
{
return(predicate(value.M11) || predicate(value.M21) || predicate(value.M12) || predicate(value.M22));
}
/// <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 Matrix2x2d Round(Matrix2x2d value)
{
return(new Matrix2x2d(Functions.Round(value.M11), Functions.Round(value.M21), Functions.Round(value.M12), Functions.Round(value.M22)));
}
/// <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 Matrix2x2f Map(Matrix2x2d value, Func <double, float> mapping)
{
return(new Matrix2x2f(mapping(value.M11), mapping(value.M21), mapping(value.M12), mapping(value.M22)));
}
/// <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 Matrix2x2d Round(Matrix2x2d value, int digits, MidpointRounding mode)
{
return(new Matrix2x2d(Functions.Round(value.M11, digits, mode), Functions.Round(value.M21, digits, mode), Functions.Round(value.M12, digits, mode), Functions.Round(value.M22, digits, mode)));
}
/// <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 Matrix2x2d Modulate(Matrix2x2d left, Matrix2x2d right)
{
return(new Matrix2x2d(left.M11 * right.M11, left.M21 * right.M21, left.M12 * right.M12, left.M22 * right.M22));
}
/// <summary>
/// Calculates the inverse of the specified matrix.
/// </summary>
/// <param name="matrix">The matrix whose inverse is to be calculated.</param>
/// <param name="determinant">When the method completes, contains the determinant of the matrix.</param>
public static Matrix2x2d Invert(Matrix2x2d matrix, out double determinant)
{
determinant = matrix.M11 * matrix.M22 - matrix.M12 * matrix.M21;
return(new Matrix2x2d(determinant * matrix.M22, determinant * -matrix.M12, determinant * -matrix.M21, determinant * matrix.M11));
}
/// <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 Matrix2x2d Max(Matrix2x2d value1, Matrix2x2d value2)
{
return(new Matrix2x2d(Functions.Max(value1.M11, value2.M11), Functions.Max(value1.M21, value2.M21), Functions.Max(value1.M12, value2.M12), Functions.Max(value1.M22, value2.M22)));
}
/// <summary>
/// Calculates the determinant of the matrix.
/// </summary>
/// <returns>The determinant of the matrix.</returns>
public static double Determinant(Matrix2x2d matrix)
{
return(matrix.M11 * matrix.M22 - matrix.M12 * matrix.M21);
}
/// <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 Matrix2x2d Clamp(Matrix2x2d value, Matrix2x2d min, Matrix2x2d max)
{
return(new Matrix2x2d(Functions.Clamp(value.M11, min.M11, max.M11), Functions.Clamp(value.M21, min.M21, max.M21), Functions.Clamp(value.M12, min.M12, max.M12), Functions.Clamp(value.M22, min.M22, max.M22)));
}
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 Matrix2x2d Negate(Matrix2x2d value)
{
return(new Matrix2x2d(-value.M11, -value.M21, -value.M12, -value.M22));
}