JaggedArrayMath (FsODE)

FsODE

Documentation for 0.0.2

JaggedArrayMath Type

Namespace: Altaxo.Calc.LinearAlgebra
Assembly: AltaxoCore.Redist.dll
Base Type: obj

This provides array math for a special case of matrices, so called jagged arrays.

Static members

Static member	Description
`JaggedArrayMath.Add(a, arows, acols, b, brows, bcols, c, crows, ccols)` Full Usage: `JaggedArrayMath.Add(a, arows, acols, b, brows, bcols, c, crows, ccols)` Parameters: a : `float[][]` - First operand. arows : `int` - Number of rows of a. acols : `int` - Number of columns of a. b : `float[][]` - Second operand. brows : `int` - Number of rows of b. bcols : `int` - Number of columns of b. c : `float[][]` - The matrix where to store the result. Has to be of same dimensions than a and b. crows : `int` - Number of rows of c. ccols : `int` - Number of columns of c.	Calculates a+b and stores the result in matrix c. a : `float[][]` First operand. arows : `int` Number of rows of a. acols : `int` Number of columns of a. b : `float[][]` Second operand. brows : `int` Number of rows of b. bcols : `int` Number of columns of b. c : `float[][]` The matrix where to store the result. Has to be of same dimensions than a and b. crows : `int` Number of rows of c. ccols : `int` Number of columns of c.
`JaggedArrayMath.AddRow(a, arows, acols, b, brows, bcols, browToAdd, c, crows, ccols)` Full Usage: `JaggedArrayMath.AddRow(a, arows, acols, b, brows, bcols, browToAdd, c, crows, ccols)` Parameters: a : `float[][]` - First operand. arows : `int` - Number of rows of a. acols : `int` - Number of columns of a. b : `float[][]` - Second operand. brows : `int` - Number of rows of b. bcols : `int` - Number of columns of b. browToAdd : `int` - The row number of matrix b which should be added to all rows of matrix a. c : `float[][]` - The matrix where to store the result. Has to be of same dimensions than a and b. crows : `int` - Number of rows of c. ccols : `int` - Number of columns of c.	Add the row `browToAdd` of matrix b to all rows of matrix a. a : `float[][]` First operand. arows : `int` Number of rows of a. acols : `int` Number of columns of a. b : `float[][]` Second operand. brows : `int` Number of rows of b. bcols : `int` Number of columns of b. browToAdd : `int` The row number of matrix b which should be added to all rows of matrix a. c : `float[][]` The matrix where to store the result. Has to be of same dimensions than a and b. crows : `int` Number of rows of c. ccols : `int` Number of columns of c.
`JaggedArrayMath.DivideRow(a, arows, acols, b, brows, bcols, browForDivision, resultIfNull, c, crows, ccols)` Full Usage: `JaggedArrayMath.DivideRow(a, arows, acols, b, brows, bcols, browForDivision, resultIfNull, c, crows, ccols)` Parameters: a : `float[][]` - First operand (minuend). arows : `int` - Number of rows of a. acols : `int` - Number of columns of a. b : `float[][]` - Second operand (subtrahend). brows : `int` - Number of rows of b. bcols : `int` - Number of columns of b. browForDivision : `int` - The row number of matrix b which serves as denominator. resultIfNull : `float` - If the denominator is null, the result is set to this number. c : `float[][]` - The matrix where to store the result. Has to be of same dimensions than a. Must not be identical to b. crows : `int` - Number of rows of c. ccols : `int` - Number of columns of c.	Divides all rows of matrix a by the row `rowb` of matrix b (element by element). a : `float[][]` First operand (minuend). arows : `int` Number of rows of a. acols : `int` Number of columns of a. b : `float[][]` Second operand (subtrahend). brows : `int` Number of rows of b. bcols : `int` Number of columns of b. browForDivision : `int` The row number of matrix b which serves as denominator. resultIfNull : `float` If the denominator is null, the result is set to this number. c : `float[][]` The matrix where to store the result. Has to be of same dimensions than a. Must not be identical to b. crows : `int` Number of rows of c. ccols : `int` Number of columns of c.
`JaggedArrayMath.GetMatrixArray(n, m)` Full Usage: `JaggedArrayMath.GetMatrixArray(n, m)` Parameters: n : `int` - First matrix dimension (rows). m : `int` - Second matrix dimension( columns). Returns: `float[][]` Array of dimensions n x m.	Allocates an array of n x m values. n : `int` First matrix dimension (rows). m : `int` Second matrix dimension( columns). Returns: `float[][]` Array of dimensions n x m.
`JaggedArrayMath.GetMatrixCopy(a)` Full Usage: `JaggedArrayMath.GetMatrixCopy(a)` Parameters: a : `IROMatrix<float>` - The matrix to copy. Returns: `float[][]` New jagged array with the same element values than matrix a.	Allocates an array of the same dimensions than the provided matrix a, and copies the element of a to the new array. a : `IROMatrix<float>` The matrix to copy. Returns: `float[][]` New jagged array with the same element values than matrix a.
`JaggedArrayMath.Multiply(a, arows, acols, b, brows, bcols, c, crows, ccols)` Full Usage: `JaggedArrayMath.Multiply(a, arows, acols, b, brows, bcols, c, crows, ccols)` Parameters: a : `float[][]` - First multiplicant. arows : `int` - Number of rows of a. acols : `int` - Number of columns of a. b : `float[][]` - Second multiplicant. brows : `int` - Number of rows of b. bcols : `int` - Number of columns of b. c : `float[][]` - The matrix where to store the result. Has to be of dimension (arows, bcols). crows : `int` - Number of rows of c. ccols : `int` - Number of columns of c.	Multiplies matrix a with matrix b and stores the result in matrix c. a : `float[][]` First multiplicant. arows : `int` Number of rows of a. acols : `int` Number of columns of a. b : `float[][]` Second multiplicant. brows : `int` Number of rows of b. bcols : `int` Number of columns of b. c : `float[][]` The matrix where to store the result. Has to be of dimension (arows, bcols). crows : `int` Number of rows of c. ccols : `int` Number of columns of c.
`JaggedArrayMath.MultiplyFirstTransposed(a, arows, acols, b, brows, bcols, c, crows, ccols)` Full Usage: `JaggedArrayMath.MultiplyFirstTransposed(a, arows, acols, b, brows, bcols, c, crows, ccols)` Parameters: a : `float[][]` - First multiplicant. arows : `int` - Number of rows of a. acols : `int` - Number of columns of a. b : `float[][]` - Second multiplicant. brows : `int` - Number of rows of b. bcols : `int` - Number of columns of b. c : `float[][]` - The matrix where to store the result. Has to be of dimension (acols, bcols). crows : `int` - Number of rows of c. ccols : `int` - Number of columns of c.	Multiplies matrix a_transposed with matrix b and stores the result in matrix c. a : `float[][]` First multiplicant. arows : `int` Number of rows of a. acols : `int` Number of columns of a. b : `float[][]` Second multiplicant. brows : `int` Number of rows of b. bcols : `int` Number of columns of b. c : `float[][]` The matrix where to store the result. Has to be of dimension (acols, bcols). crows : `int` Number of rows of c. ccols : `int` Number of columns of c.
`JaggedArrayMath.MultiplyFirstTransposedWithItself(a, arows, acols, c, crows, ccols)` Full Usage: `JaggedArrayMath.MultiplyFirstTransposedWithItself(a, arows, acols, c, crows, ccols)` Parameters: a : `float[][]` - First and second multiplicant. arows : `int` - Number of rows of a. acols : `int` - Number of columns of a. c : `float[][]` - The matrix where to store the result. Has to be of dimension (acols, acols). crows : `int` - Number of rows of c. ccols : `int` - Number of columns of c.	Multiplies matrix a_transposed with matrix a itself and stores the result in matrix c. a : `float[][]` First and second multiplicant. arows : `int` Number of rows of a. acols : `int` Number of columns of a. c : `float[][]` The matrix where to store the result. Has to be of dimension (acols, acols). crows : `int` Number of rows of c. ccols : `int` Number of columns of c.
`JaggedArrayMath.MultiplyRow(a, arows, acols, b, brows, bcols, browToMultiply, c, crows, ccols)` Full Usage: `JaggedArrayMath.MultiplyRow(a, arows, acols, b, brows, bcols, browToMultiply, c, crows, ccols)` Parameters: a : `float[][]` - First multiplicant. arows : `int` - Number of rows of a. acols : `int` - Number of columns of a. b : `float[][]` - Second multiplicant. brows : `int` - Number of rows of b. bcols : `int` - Number of columns of b. browToMultiply : `int` - The row number of matrix b to multiply. c : `float[][]` - The matrix where to store the result. Has to be of same dimension than a. crows : `int` - Number of rows of c. ccols : `int` - Number of columns of c.	Multiplies the row `rowb` of matrix b element by element to all rows of matrix a. a : `float[][]` First multiplicant. arows : `int` Number of rows of a. acols : `int` Number of columns of a. b : `float[][]` Second multiplicant. brows : `int` Number of rows of b. bcols : `int` Number of columns of b. browToMultiply : `int` The row number of matrix b to multiply. c : `float[][]` The matrix where to store the result. Has to be of same dimension than a. crows : `int` Number of rows of c. ccols : `int` Number of columns of c.
`JaggedArrayMath.MultiplyScalar(a, arows, acols, b, c, crows, ccols)` Full Usage: `JaggedArrayMath.MultiplyScalar(a, arows, acols, b, c, crows, ccols)` Parameters: a : `float[][]` - The first multiplicant. arows : `int` - Number of rows of a. acols : `int` - Number of columns of a. b : `float` - The second multiplicant. c : `float[][]` - The resulting matrix. Has to be of same dimensions than a. crows : `int` - Number of rows of c. ccols : `int` - Number of columns of c.	Multiplies the matrix a with a scalar value b and stores the result in c. Matrix a and c are allowed to be the same matrix. a : `float[][]` The first multiplicant. arows : `int` Number of rows of a. acols : `int` Number of columns of a. b : `float` The second multiplicant. c : `float[][]` The resulting matrix. Has to be of same dimensions than a. crows : `int` Number of rows of c. ccols : `int` Number of columns of c.
`JaggedArrayMath.MultiplySecondTransposed(a, arows, acols, b, brows, bcols, c, crows, ccols)` Full Usage: `JaggedArrayMath.MultiplySecondTransposed(a, arows, acols, b, brows, bcols, c, crows, ccols)` Parameters: a : `float[][]` - First multiplicant. arows : `int` - Number of rows of a. acols : `int` - Number of columns of a. b : `float[][]` - Second multiplicant. brows : `int` - Number of rows of b. bcols : `int` - Number of columns of b. c : `float[][]` - The matrix where to store the result. Has to be of dimension (arows, brows). crows : `int` - Number of rows of c. ccols : `int` - Number of columns of c.	Multiplies matrix a with matrix b_transposed and stores the result in matrix c. a : `float[][]` First multiplicant. arows : `int` Number of rows of a. acols : `int` Number of columns of a. b : `float[][]` Second multiplicant. brows : `int` Number of rows of b. bcols : `int` Number of columns of b. c : `float[][]` The matrix where to store the result. Has to be of dimension (arows, brows). crows : `int` Number of rows of c. ccols : `int` Number of columns of c.
`JaggedArrayMath.Subtract(a, arows, acols, b, brows, bcols, c, crows, ccols)` Full Usage: `JaggedArrayMath.Subtract(a, arows, acols, b, brows, bcols, c, crows, ccols)` Parameters: a : `float[][]` - First operand (minuend). arows : `int` - Number of rows of a. acols : `int` - Number of columns of a. b : `float[][]` - Second operand (subtrahend). brows : `int` - Number of rows of b. bcols : `int` - Number of columns of b. c : `float[][]` - The matrix where to store the result `a-b`. Has to be of same dimensions than a and b. crows : `int` - Number of rows of c. ccols : `int` - Number of columns of c.	Calculates a-b and stores the result in matrix c. a : `float[][]` First operand (minuend). arows : `int` Number of rows of a. acols : `int` Number of columns of a. b : `float[][]` Second operand (subtrahend). brows : `int` Number of rows of b. bcols : `int` Number of columns of b. c : `float[][]` The matrix where to store the result `a-b`. Has to be of same dimensions than a and b. crows : `int` Number of rows of c. ccols : `int` Number of columns of c.
`JaggedArrayMath.SubtractColumn(a, arows, acols, b, brows, bcols, bcolToSubtract, c, crows, ccols)` Full Usage: `JaggedArrayMath.SubtractColumn(a, arows, acols, b, brows, bcols, bcolToSubtract, c, crows, ccols)` Parameters: a : `float[][]` - First operand (minuend). arows : `int` - Number of rows of a. acols : `int` - Number of columns of a. b : `float[][]` - Second operand (subtrahend). brows : `int` - Number of rows of b. bcols : `int` - Number of columns of b. bcolToSubtract : `int` - The column number of matrix b which should be subtracted from all columns of matrix a. c : `float[][]` - The matrix where to store the result. Has to be of same dimensions than a. Must not be identical to b. crows : `int` - Number of rows of c. ccols : `int` - Number of columns of c.	Subtract the column `bcolToSubtract` of matrix b from all columns of matrix a. a : `float[][]` First operand (minuend). arows : `int` Number of rows of a. acols : `int` Number of columns of a. b : `float[][]` Second operand (subtrahend). brows : `int` Number of rows of b. bcols : `int` Number of columns of b. bcolToSubtract : `int` The column number of matrix b which should be subtracted from all columns of matrix a. c : `float[][]` The matrix where to store the result. Has to be of same dimensions than a. Must not be identical to b. crows : `int` Number of rows of c. ccols : `int` Number of columns of c.
`JaggedArrayMath.SubtractProductFromSelf(a, arows, acols, b, brows, bcols, c, crows, ccols)` Full Usage: `JaggedArrayMath.SubtractProductFromSelf(a, arows, acols, b, brows, bcols, c, crows, ccols)` Parameters: a : `float[][]` - First operand of multiplication. arows : `int` - Number of rows of a. acols : `int` - Number of columns of a. b : `float[][]` - Second operand of multiplication. brows : `int` - Number of rows of b. bcols : `int` - Number of columns of b. c : `float[][]` - The matrix where to store the result `c = c - ab`. Has to be of same dimensions than the product of a and b. crows* : `int` - Number of rows of c. ccols : `int` - Number of columns of c.	Calculates c = c - ab a : `float[][]` First operand of multiplication. arows : `int` Number of rows of a. acols : `int` Number of columns of a. b : `float[][]` Second operand of multiplication. brows : `int` Number of rows of b. bcols : `int` Number of columns of b. c : `float[][]` The matrix where to store the result `c = c - a*b`. Has to be of same dimensions than the product of a and b. crows : `int` Number of rows of c. ccols : `int` Number of columns of c.
`JaggedArrayMath.SubtractProductFromSelf(a, arows, acols, b, c, crows, ccols)` Full Usage: `JaggedArrayMath.SubtractProductFromSelf(a, arows, acols, b, c, crows, ccols)` Parameters: a : `float[][]` - First operand of multiplication. arows : `int` - Number of rows of a. acols : `int` - Number of columns of a. b : `float` - Second multiplicant. c : `float[][]` - The third operand and matrix where to store the result `c = c - ab`. Has to be of same dimensions than a. crows* : `int` - Number of rows of c. ccols : `int` - Number of columns of c.	Calculates c = c - ab a : `float[][]` First operand of multiplication. arows : `int` Number of rows of a. acols : `int` Number of columns of a. b : `float` Second multiplicant. c : `float[][]` The third operand and matrix where to store the result `c = c - a*b`. Has to be of same dimensions than a. crows : `int` Number of rows of c. ccols : `int` Number of columns of c.
`JaggedArrayMath.SubtractRow(a, arows, acols, b, brows, bcols, browToSubtract, c, crows, ccols)` Full Usage: `JaggedArrayMath.SubtractRow(a, arows, acols, b, brows, bcols, browToSubtract, c, crows, ccols)` Parameters: a : `float[][]` - First operand (minuend). arows : `int` - Number of rows of a. acols : `int` - Number of columns of a. b : `float[][]` - Second operand (subtrahend). brows : `int` - Number of rows of b. bcols : `int` - Number of columns of b. browToSubtract : `int` - The row number of matrix b which should be subtracted from all rows of matrix a. c : `float[][]` - The matrix where to store the result. Has to be of same dimensions than a. Must not be identical to b. crows : `int` - Number of rows of c. ccols : `int` - Number of columns of c.	Subtract the row `browToSubtract` of matrix b from all rows of matrix a. a : `float[][]` First operand (minuend). arows : `int` Number of rows of a. acols : `int` Number of columns of a. b : `float[][]` Second operand (subtrahend). brows : `int` Number of rows of b. bcols : `int` Number of columns of b. browToSubtract : `int` The row number of matrix b which should be subtracted from all rows of matrix a. c : `float[][]` The matrix where to store the result. Has to be of same dimensions than a. Must not be identical to b. crows : `int` Number of rows of c. ccols : `int` Number of columns of c.
`JaggedArrayMath.ToMatrix(x, rows, cols)` Full Usage: `JaggedArrayMath.ToMatrix(x, rows, cols)` Parameters: x : `float[][]` - The jagged array. Each double[] vector is a row of the matrix. rows : `int` - The number of (used) rows of the array. cols : `int` - The number of (used) columns of the array. Returns: `JaggedArrayMatrix` A jagged array matrix wrapping the provided array with a IMatrix interface.	This wraps a jagged double array to the IMatrix interface. The data is not copied! x : `float[][]` The jagged array. Each double[] vector is a row of the matrix. rows : `int` The number of (used) rows of the array. cols : `int` The number of (used) columns of the array. Returns: `JaggedArrayMatrix` A jagged array matrix wrapping the provided array with a IMatrix interface.
`JaggedArrayMath.ToTransposedMatrix(x, rows, cols)` Full Usage: `JaggedArrayMath.ToTransposedMatrix(x, rows, cols)` Parameters: x : `float[][]` - The jagged array. Each double[] vector is a column of the matrix (because of transpose). rows : `int` - The number of (used) rows of the resulting matrix. cols : `int` - The number of (used) columns of the resulting matrix = length of the first level of the jagged array. Returns: `IMatrix<float>` A IROMatrix wrapping the provided array so that it seems to be transposed.	This wraps a jagged double array to the IROMatrix interface so that the array appears to be transposed. The data is not copied! x : `float[][]` The jagged array. Each double[] vector is a column of the matrix (because of transpose). rows : `int` The number of (used) rows of the resulting matrix. cols : `int` The number of (used) columns of the resulting matrix = length of the first level of the jagged array. Returns: `IMatrix<float>` A IROMatrix wrapping the provided array so that it seems to be transposed.
`JaggedArrayMath.ToTransposedROMatrix(x, rows, cols)` Full Usage: `JaggedArrayMath.ToTransposedROMatrix(x, rows, cols)` Parameters: x : `float[][]` - The jagged array. Each double[] vector is a column of the matrix (because of transpose). rows : `int` - The number of (used) rows of the resulting matrix. cols : `int` - The number of (used) columns of the resulting matrix = length of the first level of the jagged array. Returns: `IROMatrix<float>` A IROMatrix wrapping the provided array so that it seems to be transposed.	This wraps a jagged double array to the IROMatrix interface so that the array appears to be transposed. The data is not copied! x : `float[][]` The jagged array. Each double[] vector is a column of the matrix (because of transpose). rows : `int` The number of (used) rows of the resulting matrix. cols : `int` The number of (used) columns of the resulting matrix = length of the first level of the jagged array. Returns: `IROMatrix<float>` A IROMatrix wrapping the provided array so that it seems to be transposed.