cern.colt.matrix

Class ObjectFactory2D

java.lang.Object

cern.colt.PersistentObject

cern.colt.matrix.ObjectFactory2D

All Implemented Interfaces:

Serializable, Cloneable

public class ObjectFactory2D
extends PersistentObject

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

Construction	Use idioms like ObjectFactory2D.dense.make(4,4) to construct dense matrices, ObjectFactory2D.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 block matrices	Use method composeDiagonal to work with diagonal block matrices.

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

ObjectFactory2D F = ObjectFactory2D.dense; F.make(4,4); ...

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field and Description
static ObjectFactory2D	dense A factory producing dense matrices.
static ObjectFactory2D	sparse A factory producing sparse matrices.

Fields inherited from class cern.colt.PersistentObject

serialVersionUID

Method Summary

Modifier and Type	Method and Description
ObjectMatrix2D	appendColumns(ObjectMatrix2D A, ObjectMatrix2D B) C = A||B; Constructs a new matrix which is the column-wise concatenation of two other matrices.
ObjectMatrix2D	appendRows(ObjectMatrix2D A, ObjectMatrix2D B) C = A||B; Constructs a new matrix which is the row-wise concatenation of two other matrices.
ObjectMatrix2D	compose(ObjectMatrix2D[][] parts) Constructs a block matrix made from the given parts.
ObjectMatrix2D	composeDiagonal(ObjectMatrix2D A, ObjectMatrix2D B) Constructs a diagonal block matrix from the given parts (the direct sum of two matrices).
ObjectMatrix2D	composeDiagonal(ObjectMatrix2D A, ObjectMatrix2D B, ObjectMatrix2D C) Constructs a diagonal block matrix from the given parts.
void	decompose(ObjectMatrix2D[][] parts, ObjectMatrix2D matrix) Splits a block matrix into its constituent blocks; Copies blocks of a matrix into the given parts.
ObjectMatrix2D	diagonal(ObjectMatrix1D vector) Constructs a new diagonal matrix whose diagonal elements are the elements of vector.
ObjectMatrix1D	diagonal(ObjectMatrix2D A) Constructs a new vector consisting of the diagonal elements of A.
ObjectMatrix2D	make(int rows, int columns) Constructs a matrix with the given shape, each cell initialized with zero.
ObjectMatrix2D	make(int rows, int columns, Object initialValue) Constructs a matrix with the given shape, each cell initialized with the given value.
ObjectMatrix2D	make(Object[][] values) Constructs a matrix with the given cell values.
ObjectMatrix2D	make(Object[] values, int rows) Construct a matrix from a one-dimensional column-major packed array, ala Fortran.
ObjectMatrix2D	repeat(ObjectMatrix2D A, int rowRepeat, int columnRepeat) C = A||A||..||A; Constructs a new matrix which is duplicated both along the row and column dimension.

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 ObjectFactory2D dense

A factory producing dense matrices.

sparse

public static final ObjectFactory2D sparse

A factory producing sparse matrices.

Method Detail

appendColumns

public ObjectMatrix2D appendColumns(ObjectMatrix2D A,
                                    ObjectMatrix2D 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

appendRows

public ObjectMatrix2D appendRows(ObjectMatrix2D A,
                                 ObjectMatrix2D 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

compose

public ObjectMatrix2D compose(ObjectMatrix2D[][] parts)

Constructs a block matrix made from the given parts. The inverse to method decompose(ObjectMatrix2D[][], ObjectMatrix2D).

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
ObjectMatrix2D[][] 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
ObjectMatrix2D[][] 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
ObjectMatrix2D A = ascending(2,2); ObjectMatrix2D B = descending(2,2); ObjectMatrix2D _ = null; ObjectMatrix2D[][] 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
ObjectMatrix2D[][] 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].cols != A[2,1].cols (2 != 3)

Throws:

IllegalArgumentException - subject to the conditions outlined above.

composeDiagonal

public ObjectMatrix2D composeDiagonal(ObjectMatrix2D A,
                                      ObjectMatrix2D 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 ObjectMatrix2D composeDiagonal(ObjectMatrix2D A,
                                      ObjectMatrix2D B,
                                      ObjectMatrix2D 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(ObjectMatrix2D[][] parts,
                      ObjectMatrix2D matrix)

Splits a block matrix into its constituent blocks; Copies blocks of a matrix into the given parts. The inverse to method compose(ObjectMatrix2D[][]).

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
ObjectMatrix2D matrix = ... ; ObjectMatrix2D _ = null; ObjectMatrix2D A,B,C,D; A = make(2,2); B = make (4,4); C = make(4,3); D = make (2,2); ObjectMatrix2D[][] 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.

diagonal

public ObjectMatrix2D diagonal(ObjectMatrix1D 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 ObjectMatrix1D diagonal(ObjectMatrix2D 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.

make

public ObjectMatrix2D make(Object[][] 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 ObjectMatrix2D make(Object[] 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 Objects, packed by columns (ala Fortran).

rows - the number of rows.

Throws:

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

make

public ObjectMatrix2D make(int rows,
                           int columns)

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

make

public ObjectMatrix2D make(int rows,
                           int columns,
                           Object initialValue)

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

repeat

public ObjectMatrix2D repeat(ObjectMatrix2D 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