cern.colt.matrix.tdouble

Class DoubleFactory2D

java.lang.Object

cern.colt.PersistentObject

cern.colt.matrix.tdouble.DoubleFactory2D

All Implemented Interfaces:

Serializable, Cloneable

public class DoubleFactory2D
extends PersistentObject

Factory for convenient construction of 2-d matrices holding double cells. Also provides convenient methods to compose (concatenate) and decompose (split) matrices from/to constituent blocks.

Construction	Use idioms like DoubleFactory2D.dense.make(4,4) to construct dense matrices, DoubleFactory2D.sparse.make(4,4) to construct sparse matrices.
Construction with initial values	Use other make methods to construct matrices with given initial values.
Appending rows and columns	Use methods appendColumns, appendRows and repeat to append rows and columns.
General block matrices	Use methods compose and decompose to work with general block matrices.
Diagonal matrices	Use methods diagonal(vector), diagonal(matrix) and identity to work with diagonal matrices.
Diagonal block matrices	Use method composeDiagonal to work with diagonal block matrices.
Random	Use methods random and sample to construct random matrices.

If the factory is used frequently it might be useful to streamline the notation. For example by aliasing:

DoubleFactory2D F = DoubleFactory2D.dense; F.make(4,4); F.descending(10,20); F.random(4,4); ...

Version:

1.0, 09/24/99

Author:

wolfgang.hoschek@cern.ch, Piotr Wendykier (piotr.wendykier@gmail.com)

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field and Description
static DoubleFactory2D	dense A factory producing dense matrices.
static DoubleFactory2D	sparse A factory producing sparse hash matrices.

Method Summary

Methods

Modifier and Type	Method and Description
DoubleMatrix2D	appendColumn(DoubleMatrix2D A, DoubleMatrix1D b) C = A||b; Constructs a new matrix which is the column-wise concatenation of two other matrices.
DoubleMatrix2D	appendColumns(DoubleMatrix2D A, DoubleMatrix2D B) C = A||B; Constructs a new matrix which is the column-wise concatenation of two other matrices.
DoubleMatrix2D	appendRow(DoubleMatrix2D A, DoubleMatrix1D b) C = A||b; Constructs a new matrix which is the row-wise concatenation of two other matrices.
DoubleMatrix2D	appendRows(DoubleMatrix2D A, DoubleMatrix2D B) C = A||B; Constructs a new matrix which is the row-wise concatenation of two other matrices.
DoubleMatrix2D	ascending(int rows, int columns) Constructs a matrix with cells having ascending values.
DoubleMatrix2D	compose(DoubleMatrix2D[][] parts) Constructs a block matrix made from the given parts.
DoubleMatrix2D	composeBidiagonal(DoubleMatrix2D A, DoubleMatrix2D B) Constructs a bidiagonal block matrix from the given parts.
DoubleMatrix2D	composeDiagonal(DoubleMatrix2D A, DoubleMatrix2D B) Constructs a diagonal block matrix from the given parts (the direct sum of two matrices).
DoubleMatrix2D	composeDiagonal(DoubleMatrix2D A, DoubleMatrix2D B, DoubleMatrix2D C) Constructs a diagonal block matrix from the given parts.
void	decompose(DoubleMatrix2D[][] parts, DoubleMatrix2D matrix) Splits a block matrix into its constituent blocks; Copies blocks of a matrix into the given parts.
void	demo1() Demonstrates usage of this class.
void	demo2() Demonstrates usage of this class.
DoubleMatrix2D	descending(int rows, int columns) Constructs a matrix with cells having descending values.
DoubleMatrix2D	diagonal(double[] vector) Constructs a new diagonal matrix whose diagonal elements are the elements of vector.
DoubleMatrix2D	diagonal(DoubleMatrix1D vector) Constructs a new diagonal matrix whose diagonal elements are the elements of vector.
DoubleMatrix1D	diagonal(DoubleMatrix2D A) Constructs a new vector consisting of the diagonal elements of A .
DoubleMatrix2D	identity(int rowsAndColumns) Constructs an identity matrix (having ones on the diagonal and zeros elsewhere).
DoubleMatrix2D	make(double[][] values) Constructs a matrix with the given cell values.
DoubleMatrix2D	make(double[] values, int rows) Construct a matrix from a one-dimensional column-major packed array, ala Fortran.
DoubleMatrix2D	make(int rows, int columns) Constructs a matrix with the given shape, each cell initialized with zero.
DoubleMatrix2D	make(int rows, int columns, double initialValue) Constructs a matrix with the given shape, each cell initialized with the given value.
DoubleMatrix2D	random(int rows, int columns) Constructs a matrix with uniformly distributed values in (0,1) (exclusive).
DoubleMatrix2D	repeat(DoubleMatrix2D A, int rowRepeat, int columnRepeat) C = A||A||..||A; Constructs a new matrix which is duplicated both along the row and column dimension.
DoubleMatrix2D	sample(DoubleMatrix2D matrix, double value, double nonZeroFraction) Modifies the given matrix to be a randomly sampled matrix.
DoubleMatrix2D	sample(int rows, int columns, double value, double nonZeroFraction) Constructs a randomly sampled matrix with the given shape.

Methods inherited from class cern.colt.PersistentObject

clone

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

dense

public static final DoubleFactory2D dense

A factory producing dense matrices.

sparse

public static final DoubleFactory2D sparse

A factory producing sparse hash matrices.

Method Detail

appendColumn

public DoubleMatrix2D appendColumn(DoubleMatrix2D A,
                          DoubleMatrix1D b)

C = A||b; Constructs a new matrix which is the column-wise concatenation of two other matrices.

   0 1 2
   3 4 5
   appendColumn
   6 
   8 
   -->
   0 1 2 6 
   3 4 5 8
 
 

appendColumns

public DoubleMatrix2D appendColumns(DoubleMatrix2D A,
                           DoubleMatrix2D B)

C = A||B; Constructs a new matrix which is the column-wise concatenation of two other matrices.

         0 1 2
         3 4 5
         appendColumns
         6 7
         8 9
         -->
         0 1 2 6 7 
         3 4 5 8 9
 
 

appendRow

public DoubleMatrix2D appendRow(DoubleMatrix2D A,
                       DoubleMatrix1D b)

C = A||b; Constructs a new matrix which is the row-wise concatenation of two other matrices.

   0 1 
   2 3 
   4 5
   appendRow
   6 7
   -->
   0 1 
   2 3 
   4 5
   6 7
 
 

appendRows

public DoubleMatrix2D appendRows(DoubleMatrix2D A,
                        DoubleMatrix2D B)

C = A||B; Constructs a new matrix which is the row-wise concatenation of two other matrices.

         0 1 
         2 3 
         4 5
         appendRows
         6 7
         8 9
         -->
         0 1 
         2 3 
         4 5
         6 7
         8 9
 
 

ascending

public DoubleMatrix2D ascending(int rows,
                       int columns)

Constructs a matrix with cells having ascending values. For debugging purposes. Example:

         0 1 2 
         3 4 5
 
 

compose

public DoubleMatrix2D compose(DoubleMatrix2D[][] parts)

Constructs a block matrix made from the given parts. The inverse to method decompose(DoubleMatrix2D[][], DoubleMatrix2D).

All matrices of a given column within parts must have the same number of columns. All matrices of a given row within parts must have the same number of rows. Otherwise an IllegalArgumentException is thrown. Note that nulls within parts[row,col] are an exception to this rule: they are ignored. Cells are copied. Example:

Code	Result
DoubleMatrix2D[][] parts1 = { { null, make(2, 2, 1), null }, { make(4, 4, 2), null, make(4, 3, 3) }, { null, make(2, 2, 4), null } }; System.out.println(compose(parts1));	8 x 9 matrix 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 2 2 2 2 0 0 3 3 3 2 2 2 2 0 0 3 3 3 2 2 2 2 0 0 3 3 3 2 2 2 2 0 0 3 3 3 0 0 0 0 4 4 0 0 0 0 0 0 0 4 4 0 0 0
DoubleMatrix2D[][] parts3 = { { identity(3), null, }, { null, identity(3).viewColumnFlip() }, { identity(3).viewRowFlip(), null } }; System.out.println("\n" + make(parts3));	9 x 6 matrix 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0
DoubleMatrix2D A = ascending(2, 2); DoubleMatrix2D B = descending(2, 2); DoubleMatrix2D _ = null; DoubleMatrix2D[][] parts4 = { { A, _, A, _ }, { _, A, _, B } }; System.out.println("\n" + make(parts4));	4 x 8 matrix 1 2 0 0 1 2 0 0 3 4 0 0 3 4 0 0 0 0 1 2 0 0 3 2 0 0 3 4 0 0 1 0
DoubleMatrix2D[][] parts2 = { { null, make(2, 2, 1), null }, { make(4, 4, 2), null, make(4, 3, 3) }, { null, make(2, 3, 4), null } }; System.out.println("\n" + Factory2D.make(parts2));	IllegalArgumentException A[0,1].columns != A[2,1].columns (2 != 3)

Throws:

IllegalArgumentException - subject to the conditions outlined above.

composeBidiagonal

public DoubleMatrix2D composeBidiagonal(DoubleMatrix2D A,
                               DoubleMatrix2D B)

Constructs a bidiagonal block matrix from the given parts. The concatenation has the form

   A 0 0
   0 B 0
   0 0 C
 
 

from the given parts. Cells are copied.

Parameters:

A - bidiagonal matrix

B - bidiagonal matrix

Returns:

bidiagonal matrix

composeDiagonal

public DoubleMatrix2D composeDiagonal(DoubleMatrix2D A,
                             DoubleMatrix2D B)

Constructs a diagonal block matrix from the given parts (the direct sum of two matrices). That is the concatenation

         A 0
         0 B
 
 

(The direct sum has A.rows()+B.rows() rows and A.columns()+B.columns() columns). Cells are copied.

Returns:

a new matrix which is the direct sum.

composeDiagonal

public DoubleMatrix2D composeDiagonal(DoubleMatrix2D A,
                             DoubleMatrix2D B,
                             DoubleMatrix2D C)

Constructs a diagonal block matrix from the given parts. The concatenation has the form

         A 0 0
         0 B 0
         0 0 C
 
 

from the given parts. Cells are copied.

decompose

public void decompose(DoubleMatrix2D[][] parts,
             DoubleMatrix2D matrix)

Splits a block matrix into its constituent blocks; Copies blocks of a matrix into the given parts. The inverse to method compose(DoubleMatrix2D[][]).

All matrices of a given column within parts must have the same number of columns. All matrices of a given row within parts must have the same number of rows. Otherwise an IllegalArgumentException is thrown. Note that nulls within parts[row,col] are an exception to this rule: they are ignored. Cells are copied. Example:

Code	matrix	--> parts
DoubleMatrix2D matrix = ... ; DoubleMatrix2D _ = null; DoubleMatrix2D A,B,C,D; A = make(2,2); B = make (4,4); C = make(4,3); D = make (2,2); DoubleMatrix2D[][] parts = { { _, A, _ }, { B, _, C }, { _, D, _ } }; decompose(parts,matrix); System.out.println("\nA = "+A); System.out.println("\nB = "+B); System.out.println("\nC = "+C); System.out.println("\nD = "+D);	8 x 9 matrix 9 9 9 9 1 1 9 9 9 9 9 9 9 1 1 9 9 9 2 2 2 2 9 9 3 3 3 2 2 2 2 9 9 3 3 3 2 2 2 2 9 9 3 3 3 2 2 2 2 9 9 3 3 3 9 9 9 9 4 4 9 9 9 9 9 9 9 4 4 9 9 9	A = 2 x 2 matrix 1 1 1 1 B = 4 x 4 matrix 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 C = 4 x 3 matrix 3 3 3 3 3 3 3 3 3 3 3 3 D = 2 x 2 matrix 4 4 4 4

Throws:

IllegalArgumentException - subject to the conditions outlined above.

demo1

public void demo1()

Demonstrates usage of this class.

demo2

public void demo2()

Demonstrates usage of this class.

descending

public DoubleMatrix2D descending(int rows,
                        int columns)

Constructs a matrix with cells having descending values. For debugging purposes. Example:

         5 4 3 
         2 1 0
 
 

diagonal

public DoubleMatrix2D diagonal(double[] vector)

Constructs a new diagonal matrix whose diagonal elements are the elements of vector. Cells values are copied. The new matrix is not a view. Example:

         5 4 3 -->
         5 0 0
         0 4 0
         0 0 3
 
 

Returns:

a new matrix.

diagonal

public DoubleMatrix2D diagonal(DoubleMatrix1D vector)

Constructs a new diagonal matrix whose diagonal elements are the elements of vector. Cells values are copied. The new matrix is not a view. Example:

         5 4 3 -->
         5 0 0
         0 4 0
         0 0 3
 
 

Returns:

a new matrix.

diagonal

public DoubleMatrix1D diagonal(DoubleMatrix2D A)

Constructs a new vector consisting of the diagonal elements of A . Cells values are copied. The new vector is not a view. Example:

         5 0 0 9
         0 4 0 9
         0 0 3 9
         --> 5 4 3
 
 

Parameters:

A - the matrix, need not be square.

Returns:

a new vector.

identity

public DoubleMatrix2D identity(int rowsAndColumns)

Constructs an identity matrix (having ones on the diagonal and zeros elsewhere).

make

public DoubleMatrix2D make(double[] values,
                  int rows)

Construct a matrix from a one-dimensional column-major packed array, ala Fortran. Has the form matrix.get(row,column) == values[row + column*rows]. The values are copied.

Parameters:

values - One-dimensional array of doubles, packed by columns (ala Fortran).

rows - the number of rows.

Throws:

IllegalArgumentException - values.length must be a multiple of rows .

make

public DoubleMatrix2D make(double[][] values)

Constructs a matrix with the given cell values. values is required to have the form values[row][column] and have exactly the same number of columns in every row.

The values are copied. So subsequent changes in values are not reflected in the matrix, and vice-versa.

Parameters:

values - The values to be filled into the new matrix.

Throws:

IllegalArgumentException - if for any 1 <= row < values.length: values[row].length != values[row-1].length .

make

public DoubleMatrix2D make(int rows,
                  int columns)

Constructs a matrix with the given shape, each cell initialized with zero.

make

public DoubleMatrix2D make(int rows,
                  int columns,
                  double initialValue)

Constructs a matrix with the given shape, each cell initialized with the given value.

random

public DoubleMatrix2D random(int rows,
                    int columns)

Constructs a matrix with uniformly distributed values in (0,1) (exclusive).

repeat

public DoubleMatrix2D repeat(DoubleMatrix2D A,
                    int rowRepeat,
                    int columnRepeat)

C = A||A||..||A; Constructs a new matrix which is duplicated both along the row and column dimension. Example:

         0 1
         2 3
         repeat(2,3) -->
         0 1 0 1 0 1
         2 3 2 3 2 3
         0 1 0 1 0 1
         2 3 2 3 2 3
 
 

sample

public DoubleMatrix2D sample(DoubleMatrix2D matrix,
                    double value,
                    double nonZeroFraction)

Modifies the given matrix to be a randomly sampled matrix. Randomly picks exactly Math.round(rows*columns*nonZeroFraction) cells and initializes them to value, all the rest will be initialized to zero. Note that this is not the same as setting each cell with probability nonZeroFraction to value. Note: The random seed is a constant.

Throws:

IllegalArgumentException - if nonZeroFraction < 0 || nonZeroFraction > 1.

See Also:

DoubleRandomSampler

sample

public DoubleMatrix2D sample(int rows,
                    int columns,
                    double value,
                    double nonZeroFraction)

Constructs a randomly sampled matrix with the given shape. Randomly picks exactly Math.round(rows*columns*nonZeroFraction) cells and initializes them to value, all the rest will be initialized to zero. Note that this is not the same as setting each cell with probability nonZeroFraction to value. Note: The random seed is a constant.

Throws:

IllegalArgumentException - if nonZeroFraction < 0 || nonZeroFraction > 1.

See Also:

DoubleRandomSampler