fr.cnes.sirius.patrius.math.linear

Class DiagonalMatrix

java.lang.Object

fr.cnes.sirius.patrius.math.linear.RealLinearOperator

fr.cnes.sirius.patrius.math.linear.AbstractRealMatrix

fr.cnes.sirius.patrius.math.linear.DiagonalMatrix

All Implemented Interfaces:

AnyMatrix, RealMatrix, Serializable

public class DiagonalMatrix
extends AbstractRealMatrix
implements Serializable

Implementation of a diagonal matrix.
Caveat: This implementation is minimal; it is currently solely aimed at solving issue MATH-924. In particular many methods just throw MathUnsupportedOperationException.

Version:

$Id: DiagonalMatrix.java 18108 2017-10-04 06:45:27Z bignon $

See Also:

Serialized Form

Constructor Summary

Constructors

Constructor and Description
DiagonalMatrix(double[] d) Creates a matrix using the input array as the underlying data.
DiagonalMatrix(double[] d, boolean copyArray) Creates a matrix using the input array as the underlying data.
DiagonalMatrix(int dimension) Creates a matrix with the supplied dimension.

Method Summary

Modifier and Type	Method and Description
DiagonalMatrix	add(DiagonalMatrix m) Compute the sum of this and m.
SymmetricMatrix	add(SymmetricMatrix m) Compute the sum of this and m.
void	addToEntry(int row, int column, double increment) Adds (in place) the specified value to the specified entry of this matrix.
RealMatrix	copy() Returns a (deep) copy of this.
RealMatrix	createMatrix(int rowDimension, int columnDimension) Create a new RealMatrix of the same type as the instance with the supplied row and column dimensions.
int	getColumnDimension() Returns the number of columns of this matrix.
double[][]	getData() Returns matrix entries as a two-dimensional array.
double[]	getDataRef() Gets a reference to the underlying data array.
double	getEntry(int row, int column) Get the entry in the specified row and column.
int	getRowDimension() Returns the number of rows of this matrix.
DiagonalMatrix	multiply(DiagonalMatrix m) Returns the result of postmultiplying this by m.
RealMatrix	multiply(RealMatrix m) Returns the result of postmultiplying this by m.
RealMatrix	multiply(SymmetricMatrix m) Returns the result of postmultiplying this by m.
void	multiplyEntry(int row, int column, double factor) Multiplies (in place) the specified entry of this matrix by the specified value.
double[]	operate(double[] v) Returns the result of multiplying this by the vector v.
double[]	preMultiply(double[] v) Returns the (row) vector result of premultiplying this by the vector v.
void	setEntry(int row, int column, double value) Set the entry in the specified row and column.
void	setSubMatrix(double[][] subMatrix, int row, int column) Replace the submatrix starting at row, column using data in the input subMatrix array.
DiagonalMatrix	subtract(DiagonalMatrix m) Returns this minus m.
SymmetricMatrix	subtract(SymmetricMatrix m) Returns this minus m.
double	walkInColumnOrder(RealMatrixChangingVisitor visitor) Visit (and possibly change) all matrix entries in column order.
double	walkInColumnOrder(RealMatrixChangingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (and possibly change) some matrix entries in column order.
double	walkInColumnOrder(RealMatrixPreservingVisitor visitor) Visit (but don't change) all matrix entries in column order.
double	walkInColumnOrder(RealMatrixPreservingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (but don't change) some matrix entries in column order.
double	walkInRowOrder(RealMatrixChangingVisitor visitor) Visit (and possibly change) all matrix entries in row order.
double	walkInRowOrder(RealMatrixChangingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (and possibly change) some matrix entries in row order.
double	walkInRowOrder(RealMatrixPreservingVisitor visitor) Visit (but don't change) all matrix entries in row order.
double	walkInRowOrder(RealMatrixPreservingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (but don't change) some matrix entries in row order.

Methods inherited from class fr.cnes.sirius.patrius.math.linear.AbstractRealMatrix

add, copySubMatrix, copySubMatrix, equals, getColumn, getColumnMatrix, getColumnVector, getFrobeniusNorm, getNorm, getRow, getRowMatrix, getRowVector, getSubMatrix, getSubMatrix, getTrace, hashCode, isAntisymmetric, isDiagonal, isInvertible, isOrthogonal, isSquare, isSymmetric, isSymmetric, operate, power, preMultiply, preMultiply, scalarAdd, scalarMultiply, setColumn, setColumnMatrix, setColumnVector, setRow, setRowMatrix, setRowVector, subtract, toString, transpose, walkInOptimizedOrder, walkInOptimizedOrder, walkInOptimizedOrder, walkInOptimizedOrder

Methods inherited from class fr.cnes.sirius.patrius.math.linear.RealLinearOperator

isTransposable, operateTranspose

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Constructor Detail

DiagonalMatrix

public DiagonalMatrix(int dimension)

Creates a matrix with the supplied dimension.

Parameters:

dimension - Number of rows and columns in the new matrix.

Throws:

NotStrictlyPositiveException - if the dimension is not positive.

DiagonalMatrix

public DiagonalMatrix(double[] d)

Creates a matrix using the input array as the underlying data.
The input array is copied, not referenced.

Parameters:

d - Data for the new matrix.

DiagonalMatrix

public DiagonalMatrix(double[] d,
                      boolean copyArray)

Creates a matrix using the input array as the underlying data.
If an array is created specially in order to be embedded in a this instance and not used directly, the copyArray may be set to false. This will prevent the copying and improve performance as no new array will be built and no data will be copied.

Parameters:

d - Data for new matrix.

copyArray - if true, the input array will be copied, otherwise it will be referenced.

Method Detail

createMatrix

public RealMatrix createMatrix(int rowDimension,
                               int columnDimension)

Create a new RealMatrix of the same type as the instance with the supplied row and column dimensions.

Specified by:

createMatrix in interface RealMatrix

Specified by:

createMatrix in class AbstractRealMatrix

Parameters:

rowDimension - the number of rows in the new matrix

columnDimension - the number of columns in the new matrix

Returns:

a new matrix of the same type as the instance

Throws:

DimensionMismatchException - if the requested dimensions are not equal.

copy

public RealMatrix copy()

Returns a (deep) copy of this.

Specified by:

copy in interface RealMatrix

Specified by:

copy in class AbstractRealMatrix

Returns:

matrix copy

add

public DiagonalMatrix add(DiagonalMatrix m)

Compute the sum of this and m.

Parameters:

m - Matrix to be added.

Returns:

this + m.

Throws:

MatrixDimensionMismatchException - if m is not the same size as this.

subtract

public DiagonalMatrix subtract(DiagonalMatrix m)

Returns this minus m.

Parameters:

m - Matrix to be subtracted.

Returns:

this - m

Throws:

MatrixDimensionMismatchException - if m is not the same size as this.

multiply

public DiagonalMatrix multiply(DiagonalMatrix m)

Returns the result of postmultiplying this by m.

Parameters:

m - matrix to postmultiply by

Returns:

this * m

Throws:

DimensionMismatchException - if columnDimension(this) != rowDimension(m)

add

public SymmetricMatrix add(SymmetricMatrix m)

Compute the sum of this and m.

Parameters:

m - Matrix to be added.

Returns:

this + m.

Throws:

DimensionMismatchException - if m is not the same size as this.

subtract

public SymmetricMatrix subtract(SymmetricMatrix m)

Returns this minus m.

Parameters:

m - Matrix to be subtracted.

Returns:

this - m

Throws:

DimensionMismatchException - if m is not the same size as this.

multiply

public RealMatrix multiply(SymmetricMatrix m)

Returns the result of postmultiplying this by m.

Parameters:

m - matrix to postmultiply by

Returns:

this * m

Throws:

DimensionMismatchException - if columnDimension(this) != rowDimension(m)

multiply

public RealMatrix multiply(RealMatrix m)

Returns the result of postmultiplying this by m.

Specified by:

multiply in interface RealMatrix

Overrides:

multiply in class AbstractRealMatrix

Parameters:

m - matrix to postmultiply by

Returns:

this * m

Throws:

DimensionMismatchException - if columnDimension(this) != rowDimension(m)

getData

public double[][] getData()

Returns matrix entries as a two-dimensional array.

Specified by:

getData in interface RealMatrix

Overrides:

getData in class AbstractRealMatrix

Returns:

2-dimensional array of entries

getDataRef

public double[] getDataRef()

Gets a reference to the underlying data array.

Returns:

1-dimensional array of entries.

setSubMatrix

public void setSubMatrix(double[][] subMatrix,
                         int row,
                         int column)

Replace the submatrix starting at row, column using data in the input subMatrix array. Indexes are 0-based.

Example:
Starting with

 1  2  3  4
 5  6  7  8
 9  0  1  2
 

and subMatrix = {{3, 4} {5,6}}, invoking setSubMatrix(subMatrix,1,1)) will result in

 1  2  3  4
 5  3  4  8
 9  5  6  2
 

Specified by:

setSubMatrix in interface RealMatrix

Overrides:

setSubMatrix in class AbstractRealMatrix

Parameters:

subMatrix - array containing the submatrix replacement data

row - row coordinate of the top, left element to be replaced

column - column coordinate of the top, left element to be replaced

Throws:

MathUnsupportedOperationException - thrown if the method is called since this method is not available for DiagonalMatrix.

getEntry

public double getEntry(int row,
                       int column)

Get the entry in the specified row and column. Row and column indices start at 0.

Specified by:

getEntry in interface RealMatrix

Specified by:

getEntry in class AbstractRealMatrix

Parameters:

row - Row index of entry to be fetched.

column - Column index of entry to be fetched.

Returns:

the matrix entry at (row, column).

setEntry

public void setEntry(int row,
                     int column,
                     double value)

Set the entry in the specified row and column. Row and column indices start at 0.

Specified by:

setEntry in interface RealMatrix

Specified by:

setEntry in class AbstractRealMatrix

Parameters:

row - Row index of entry to be set.

column - Column index of entry to be set.

value - the new value of the entry.

Throws:

MathUnsupportedOperationException - if row != column.

addToEntry

public void addToEntry(int row,
                       int column,
                       double increment)

Adds (in place) the specified value to the specified entry of this matrix. Row and column indices start at 0.

Specified by:

addToEntry in interface RealMatrix

Overrides:

addToEntry in class AbstractRealMatrix

Parameters:

row - Row index of the entry to be modified.

column - Column index of the entry to be modified.

increment - value to add to the matrix entry.

Throws:

MathUnsupportedOperationException - if row != column.

multiplyEntry

public void multiplyEntry(int row,
                          int column,
                          double factor)

Multiplies (in place) the specified entry of this matrix by the specified value. Row and column indices start at 0.

Specified by:

multiplyEntry in interface RealMatrix

Overrides:

multiplyEntry in class AbstractRealMatrix

Parameters:

row - Row index of the entry to be modified.

column - Column index of the entry to be modified.

factor - Multiplication factor for the matrix entry.

Throws:

MathUnsupportedOperationException - if row != column.

getRowDimension

public int getRowDimension()

Returns the number of rows of this matrix.

Specified by:

getRowDimension in interface AnyMatrix

Specified by:

getRowDimension in class AbstractRealMatrix

Returns:

the number of rows.

getColumnDimension

public int getColumnDimension()

Returns the number of columns of this matrix.

Specified by:

getColumnDimension in interface AnyMatrix

Specified by:

getColumnDimension in class AbstractRealMatrix

Returns:

the number of columns.

operate

public double[] operate(double[] v)

Returns the result of multiplying this by the vector v.

Specified by:

operate in interface RealMatrix

Overrides:

operate in class AbstractRealMatrix

Parameters:

v - the vector to operate on

Returns:

this * v

preMultiply

public double[] preMultiply(double[] v)

Returns the (row) vector result of premultiplying this by the vector v.

Specified by:

preMultiply in interface RealMatrix

Overrides:

preMultiply in class AbstractRealMatrix

Parameters:

v - the row vector to premultiply by

Returns:

v * this

walkInRowOrder

public double walkInRowOrder(RealMatrixChangingVisitor visitor)

Visit (and possibly change) all matrix entries in row order.

Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.

Specified by:

walkInRowOrder in interface RealMatrix

Overrides:

walkInRowOrder in class AbstractRealMatrix

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by RealMatrixChangingVisitor.end() at the end of the walk

See Also:

RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInRowOrder

public double walkInRowOrder(RealMatrixPreservingVisitor visitor)

Visit (but don't change) all matrix entries in row order.

Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.

Specified by:

walkInRowOrder in interface RealMatrix

Overrides:

walkInRowOrder in class AbstractRealMatrix

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by RealMatrixPreservingVisitor.end() at the end of the walk

See Also:

RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInRowOrder

public double walkInRowOrder(RealMatrixChangingVisitor visitor,
                             int startRow,
                             int endRow,
                             int startColumn,
                             int endColumn)

Visit (and possibly change) some matrix entries in row order.

Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.

Specified by:

walkInRowOrder in interface RealMatrix

Overrides:

walkInRowOrder in class AbstractRealMatrix

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index

Returns:

the value returned by RealMatrixChangingVisitor.end() at the end of the walk

See Also:

RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInRowOrder

public double walkInRowOrder(RealMatrixPreservingVisitor visitor,
                             int startRow,
                             int endRow,
                             int startColumn,
                             int endColumn)

Visit (but don't change) some matrix entries in row order.

Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.

Specified by:

walkInRowOrder in interface RealMatrix

Overrides:

walkInRowOrder in class AbstractRealMatrix

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index

Returns:

the value returned by RealMatrixPreservingVisitor.end() at the end of the walk

See Also:

RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInColumnOrder

public double walkInColumnOrder(RealMatrixChangingVisitor visitor)

Visit (and possibly change) all matrix entries in column order.

Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.

Specified by:

walkInColumnOrder in interface RealMatrix

Overrides:

walkInColumnOrder in class AbstractRealMatrix

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by RealMatrixChangingVisitor.end() at the end of the walk

See Also:

RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInColumnOrder

public double walkInColumnOrder(RealMatrixPreservingVisitor visitor)

Visit (but don't change) all matrix entries in column order.

Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.

Specified by:

walkInColumnOrder in interface RealMatrix

Overrides:

walkInColumnOrder in class AbstractRealMatrix

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by RealMatrixPreservingVisitor.end() at the end of the walk

See Also:

RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInColumnOrder

public double walkInColumnOrder(RealMatrixChangingVisitor visitor,
                                int startRow,
                                int endRow,
                                int startColumn,
                                int endColumn)

Visit (and possibly change) some matrix entries in column order.

Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.

Specified by:

walkInColumnOrder in interface RealMatrix

Overrides:

walkInColumnOrder in class AbstractRealMatrix

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index

Returns:

the value returned by RealMatrixChangingVisitor.end() at the end of the walk

See Also:

RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInColumnOrder

public double walkInColumnOrder(RealMatrixPreservingVisitor visitor,
                                int startRow,
                                int endRow,
                                int startColumn,
                                int endColumn)

Visit (but don't change) some matrix entries in column order.

Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.

Specified by:

walkInColumnOrder in interface RealMatrix

Overrides:

walkInColumnOrder in class AbstractRealMatrix

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index

Returns:

the value returned by RealMatrixPreservingVisitor.end() at the end of the walk

See Also:

RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)