cern.colt.matrix.tdcomplex
Class DComplexFactory2D

java.lang.Object
  cern.colt.PersistentObject
      cern.colt.matrix.tdcomplex.DComplexFactory2D

All Implemented Interfaces:

Serializable, Cloneable

public class DComplexFactory2D
extends PersistentObject

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

Construction	Use idioms like ComplexFactory2D.dense.make(4,4) to construct dense matrices, ComplexFactory2D.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:

  ComplexFactory2D F = ComplexFactory2D.dense;
  F.make(4,4);
  F.random(4,4);
  ...
 

Author:

Piotr Wendykier (piotr.wendykier@gmail.com)

See Also:

Serialized Form

Field Summary

static DComplexFactory2D	dense A factory producing dense matrices.
static DComplexFactory2D	sparse A factory producing sparse hash matrices.

Method Summary

DComplexMatrix2D	appendColumn(DComplexMatrix2D A, DComplexMatrix1D b) C = A||b; Constructs a new matrix which is the column-wise concatenation of two other matrices.
DComplexMatrix2D	appendColumns(DComplexMatrix2D A, DComplexMatrix2D B) C = A||B; Constructs a new matrix which is the column-wise concatenation of two other matrices.
DComplexMatrix2D	appendRow(DComplexMatrix2D A, DComplexMatrix1D b) C = A||b; Constructs a new matrix which is the row-wise concatenation of two other matrices.
DComplexMatrix2D	appendRows(DComplexMatrix2D A, DComplexMatrix2D B) C = A||B; Constructs a new matrix which is the row-wise concatenation of two other matrices.
DComplexMatrix2D	compose(DComplexMatrix2D[][] parts) Constructs a block matrix made from the given parts.
DComplexMatrix2D	composeBidiagonal(DComplexMatrix2D A, DComplexMatrix2D B) Constructs a bidiagonal block matrix from the given parts.
DComplexMatrix2D	composeDiagonal(DComplexMatrix2D A, DComplexMatrix2D B) Constructs a diagonal block matrix from the given parts (the direct sum of two matrices).
DComplexMatrix2D	composeDiagonal(DComplexMatrix2D A, DComplexMatrix2D B, DComplexMatrix2D C) Constructs a diagonal block matrix from the given parts.
void	decompose(DComplexMatrix2D[][] parts, DComplexMatrix2D 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.
DComplexMatrix2D	diagonal(DComplexMatrix1D vector) Constructs a new diagonal matrix whose diagonal elements are the elements of vector.
DComplexMatrix1D	diagonal(DComplexMatrix2D A) Constructs a new vector consisting of the diagonal elements of A .
DComplexMatrix2D	identity(int rowsAndColumns) Constructs an identity matrix (having ones on the diagonal and zeros elsewhere).
DComplexMatrix2D	make(double[][] values) Constructs a matrix with the given cell values.
DComplexMatrix2D	make(int rows, int columns) Constructs a matrix with the given shape, each cell initialized with zero.
DComplexMatrix2D	make(int rows, int columns, double[] initialValue) Constructs a matrix with the given shape, each cell initialized with the given value.
DComplexMatrix2D	random(int rows, int columns) Constructs a matrix with uniformly distributed values in (0,1) (exclusive).
DComplexMatrix2D	repeat(DComplexMatrix2D A, int rowRepeat, int columnRepeat) C = A||A||..||A; Constructs a new matrix which is duplicated both along the row and column dimension.
DComplexMatrix2D	sample(DComplexMatrix2D matrix, double[] value, double nonZeroFraction) Modifies the given matrix to be a randomly sampled matrix.
DComplexMatrix2D	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 DComplexFactory2D dense

A factory producing dense matrices.

sparse

public static final DComplexFactory2D sparse

A factory producing sparse hash matrices.

Method Detail

appendColumns

public DComplexMatrix2D appendColumns(DComplexMatrix2D A,
                                      DComplexMatrix2D 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
 
 

appendColumn

public DComplexMatrix2D appendColumn(DComplexMatrix2D A,
                                     DComplexMatrix1D 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
 
 

appendRows

public DComplexMatrix2D appendRows(DComplexMatrix2D A,
                                   DComplexMatrix2D B)

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

appendRow

public DComplexMatrix2D appendRow(DComplexMatrix2D A,
                                  DComplexMatrix1D b)

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

compose

public DComplexMatrix2D compose(DComplexMatrix2D[][] parts)

Constructs a block matrix made from the given parts. The inverse to method decompose(DComplexMatrix2D[][], DComplexMatrix2D).

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.

Throws:

IllegalArgumentException - subject to the conditions outlined above.

composeDiagonal

public DComplexMatrix2D composeDiagonal(DComplexMatrix2D A,
                                        DComplexMatrix2D 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 DComplexMatrix2D composeDiagonal(DComplexMatrix2D A,
                                        DComplexMatrix2D B,
                                        DComplexMatrix2D 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.

composeBidiagonal

public DComplexMatrix2D composeBidiagonal(DComplexMatrix2D A,
                                          DComplexMatrix2D B)

Constructs a bidiagonal block matrix from the given parts. from the given parts. Cells are copied.

decompose

public void decompose(DComplexMatrix2D[][] parts,
                      DComplexMatrix2D matrix)

Splits a block matrix into its constituent blocks; Copies blocks of a matrix into the given parts. The inverse to method compose(DComplexMatrix2D[][]).

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.

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.

diagonal

public DComplexMatrix2D diagonal(DComplexMatrix1D 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.

Returns:

a new matrix.

diagonal

public DComplexMatrix1D diagonal(DComplexMatrix2D A)

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

Parameters:

A - the matrix, need not be square.

Returns:

a new vector.

identity

public DComplexMatrix2D identity(int rowsAndColumns)

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

make

public DComplexMatrix2D 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 DComplexMatrix2D make(int rows,
                             int columns)

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

make

public DComplexMatrix2D make(int rows,
                             int columns,
                             double[] initialValue)

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

random

public DComplexMatrix2D random(int rows,
                               int columns)

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

repeat

public DComplexMatrix2D repeat(DComplexMatrix2D A,
                               int rowRepeat,
                               int columnRepeat)

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

sample

public DComplexMatrix2D 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

sample

public DComplexMatrix2D sample(DComplexMatrix2D 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