DComplexFactory2D (Parallel Colt 0.10.1

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

Fields
Modifier and Type Field and Description

static DComplexFactory2D dense
A factory producing dense matrices.

static DComplexFactory2D sparse
A factory producing sparse hash matrices.

Fields
Modifier and Type	Field and Description
`static DComplexFactory2D`	`dense` A factory producing dense matrices.
`static DComplexFactory2D`	`sparse` A factory producing sparse hash matrices.

Method Summary

Methods
Modifier and Type	Method and Description
`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

Class DComplexFactory2D

Field Summary

Method Summary

Methods inherited from class cern.colt.PersistentObject

Methods inherited from class java.lang.Object

Field Detail

dense

sparse

Method Detail

appendColumns

appendColumn

appendRows

appendRow

compose

composeDiagonal

composeDiagonal

composeBidiagonal

decompose

demo1

demo2

diagonal

diagonal

identity

make

make

make

random

repeat

sample

sample