cern.colt.matrix.tdouble.impl

Class DenseColumnDoubleMatrix2D

java.lang.Object

cern.colt.PersistentObject

cern.colt.matrix.AbstractMatrix

cern.colt.matrix.AbstractMatrix2D

cern.colt.matrix.tdouble.DoubleMatrix2D

cern.colt.matrix.tdouble.impl.DenseColumnDoubleMatrix2D

All Implemented Interfaces:

java.io.Serializable, java.lang.Cloneable

public class DenseColumnDoubleMatrix2D
extends DoubleMatrix2D

Dense 2-d matrix holding double elements. First see the package summary and javadoc tree view to get the broad picture.

Implementation:

Internally holds one single contigous one-dimensional array, addressed in column major. Note that this implementation is not synchronized.

Time complexity:

O(1) (i.e. constant time) for the basic operations get, getQuick, set, setQuick and size,

Cells are internally addressed in column-major. Applications demanding utmost speed can exploit this fact. Setting/getting values in a loop column-by-column is quicker than row-by-row. Thus

 for (int column = 0; column < columns; column++) {
     for (int row = 0; row < rows; row++) {
         matrix.setQuick(row, column, someValue);
     }
 }
 
 

is quicker than

 for (int row = 0; row < rows; row++) {
     for (int column = 0; column < columns; column++) {
         matrix.setQuick(row, column, someValue);
     }
 }
 
 

See Also:

Serialized Form

Constructor Summary

Constructors

Constructor and Description
DenseColumnDoubleMatrix2D(double[][] values) Constructs a matrix with a copy of the given values.
DenseColumnDoubleMatrix2D(int rows, int columns) Constructs a matrix with a given number of rows and columns.
DenseColumnDoubleMatrix2D(int rows, int columns, double[] elements, int rowZero, int columnZero, int rowStride, int columnStride, boolean isView) Constructs a matrix with the given parameters.
DenseColumnDoubleMatrix2D(MatrixVectorReader reader) Constructs a matrix from MatrixVectorReader.

Method Summary

Modifier and Type	Method and Description
double	aggregate(DoubleDoubleFunction aggr, DoubleFunction f) Applies a function to each cell and aggregates the results.
double	aggregate(DoubleDoubleFunction aggr, DoubleFunction f, DoubleProcedure cond) Applies a function to each cell that satisfies a condition and aggregates the results.
double	aggregate(DoubleDoubleFunction aggr, DoubleFunction f, IntArrayList rowList, IntArrayList columnList) Applies a function to all cells with a given indexes and aggregates the results.
double	aggregate(DoubleMatrix2D other, DoubleDoubleFunction aggr, DoubleDoubleFunction f) Applies a function to each corresponding cell of two matrices and aggregates the results.
DoubleMatrix2D	assign(double value) Sets all cells to the state specified by value.
DoubleMatrix2D	assign(double[] values) Sets all cells to the state specified by values.
DoubleMatrix2D	assign(double[][] values) Sets all cells to the state specified by values.
DoubleMatrix2D	assign(DoubleFunction function) Assigns the result of a function to each cell; x[row,col] = function(x[row,col]).
DoubleMatrix2D	assign(DoubleMatrix2D source) Replaces all cell values of the receiver with the values of another matrix.
DoubleMatrix2D	assign(DoubleMatrix2D y, DoubleDoubleFunction function) Assigns the result of a function to each cell; x[row,col] = function(x[row,col],y[row,col]).
DoubleMatrix2D	assign(DoubleMatrix2D y, DoubleDoubleFunction function, IntArrayList rowList, IntArrayList columnList) Assigns the result of a function to all cells with a given indexes
DoubleMatrix2D	assign(DoubleProcedure cond, double value) Assigns a value to all cells that satisfy a condition.
DoubleMatrix2D	assign(DoubleProcedure cond, DoubleFunction function) Assigns the result of a function to all cells that satisfy a condition.
DoubleMatrix2D	assign(float[] values) Sets all cells to the state specified by values.
int	cardinality() Returns the number of cells having non-zero values; ignores tolerance.
void	dct2(boolean scale) Computes the 2D discrete cosine transform (DCT-II) of this matrix.
void	dctColumns(boolean scale) Computes the discrete cosine transform (DCT-II) of each column of this matrix.
void	dctRows(boolean scale) Computes the discrete cosine transform (DCT-II) of each row of this matrix.
void	dht2() Computes the 2D discrete Hartley transform (DHT) of this matrix.
void	dhtColumns() Computes the discrete Hartley transform (DHT) of each column of this matrix.
void	dhtRows() Computes the discrete Hartley transform (DHT) of each row of this matrix.
void	dst2(boolean scale) Computes the 2D discrete sine transform (DST-II) of this matrix.
void	dstColumns(boolean scale) Computes the discrete sine transform (DST-II) of each column of this matrix.
void	dstRows(boolean scale) Computes the discrete sine transform (DST-II) of each row of this matrix.
double[]	elements() Returns the elements of this matrix.
void	fft2() Computes the 2D discrete Fourier transform (DFT) of this matrix.
DoubleMatrix2D	forEachNonZero(IntIntDoubleFunction function) Assigns the result of a function to each non-zero cell; x[row,col] = function(x[row,col]).
DenseDComplexMatrix2D	getFft2() Returns new complex matrix which is the 2D discrete Fourier transform (DFT) of this matrix.
DenseDComplexMatrix2D	getFftColumns() Returns new complex matrix which is the discrete Fourier transform (DFT) of each column of this matrix.
DenseDComplexMatrix2D	getFftRows() Returns new complex matrix which is the discrete Fourier transform (DFT) of each row of this matrix.
DComplexMatrix2D	getIfft2(boolean scale) Returns new complex matrix which is the 2D inverse of the discrete Fourier transform (IDFT) of this matrix.
DComplexMatrix2D	getIfftColumns(boolean scale) Returns new complex matrix which is the inverse of the discrete Fourier transform (IDFT) of each column of this matrix.
DComplexMatrix2D	getIfftRows(boolean scale) Returns new complex matrix which is the inverse of the discrete Fourier transform (IDFT) of each row of this matrix.
double[]	getMaxLocation() Return the maximum value of this matrix together with its location
double[]	getMinLocation() Return the minimum value of this matrix together with its location
void	getNegativeValues(IntArrayList rowList, IntArrayList columnList, DoubleArrayList valueList) Fills the coordinates and values of cells having negative values into the specified lists.
void	getNonZeros(IntArrayList rowList, IntArrayList columnList, DoubleArrayList valueList) Fills the coordinates and values of cells having non-zero values into the specified lists.
void	getPositiveValues(IntArrayList rowList, IntArrayList columnList, DoubleArrayList valueList) Fills the coordinates and values of cells having positive values into the specified lists.
double	getQuick(int row, int column) Returns the matrix cell value at coordinate [row,column].
DenseDoubleMatrix2D	getRowMajor() Returns a new matrix that has the same elements as this matrix, but they are addressed internally in row major.
void	idct2(boolean scale) Computes the 2D inverse of the discrete cosine transform (DCT-III) of this matrix.
void	idctColumns(boolean scale) Computes the inverse of the discrete cosine transform (DCT-III) of each column of this matrix.
void	idctRows(boolean scale) Computes the inverse of the discrete cosine transform (DCT-III) of each row of this matrix.
void	idht2(boolean scale) Computes the 2D inverse of the discrete Hartley transform (IDHT) of this matrix.
void	idhtColumns(boolean scale) Computes the inverse of the discrete Hartley transform (IDHT) of each column of this matrix.
void	idhtRows(boolean scale) Computes the inverse of the discrete Hartley transform (IDHT) of each row of this matrix.
void	idst2(boolean scale) Computes the 2D inverse of the discrete sine transform (DST-III) of this matrix.
void	idstColumns(boolean scale) Computes the inverse of the discrete sine transform (DST-III) of each column of this matrix.
void	idstRows(boolean scale) Computes the inverse of the discrete sine transform (DST-III) of each row of this matrix.
void	ifft2(boolean scale) Computes the 2D inverse of the discrete Fourier transform (IDFT) of this matrix.
long	index(int row, int column) Returns the position of the given coordinate within the (virtual or non-virtual) internal 1-dimensional array.
DoubleMatrix2D	like(int rows, int columns) Construct and returns a new empty matrix of the same dynamic type as the receiver, having the specified number of rows and columns.
DoubleMatrix1D	like1D(int size) Construct and returns a new 1-d matrix of the corresponding dynamic type, entirelly independent of the receiver.
void	setQuick(int row, int column, double value) Sets the matrix cell at coordinate [row,column] to the specified value.
double[][]	toArray() Constructs and returns a 2-dimensional array containing the cell values.
DoubleMatrix1D	vectorize() Returns a vector obtained by stacking the columns of the matrix on top of one another.
DoubleMatrix1D	zMult(DoubleMatrix1D y, DoubleMatrix1D z, double alpha, double beta, boolean transposeA) Linear algebraic matrix-vector multiplication; z = alpha * A * y + beta*z.
DoubleMatrix2D	zMult(DoubleMatrix2D B, DoubleMatrix2D C, double alpha, double beta, boolean transposeA, boolean transposeB) Linear algebraic matrix-matrix multiplication; C = alpha * A x B + beta*C.
double	zSum() Returns the sum of all cells; Sum( x[i,j] ).

Methods inherited from class cern.colt.matrix.tdouble.DoubleMatrix2D

copy, equals, equals, get, like, normalize, set, toString, viewColumn, viewColumnFlip, viewDice, viewPart, viewRow, viewRowFlip, viewSelection, viewSelection, viewSelection, viewSorted, viewStrides, zAssign8Neighbors, zMult, zMult

Methods inherited from class cern.colt.matrix.AbstractMatrix2D

checkShape, checkShape, columns, columnStride, rows, rowStride, size, toStringShort

Methods inherited from class cern.colt.matrix.AbstractMatrix

ensureCapacity, isView, trimToSize

Methods inherited from class cern.colt.PersistentObject

clone

Methods inherited from class java.lang.Object

getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

DenseColumnDoubleMatrix2D

public DenseColumnDoubleMatrix2D(double[][] values)

Constructs a matrix with a copy of the given 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:

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

DenseColumnDoubleMatrix2D

public DenseColumnDoubleMatrix2D(int rows,
                                 int columns)

Constructs a matrix with a given number of rows and columns. All entries are initially 0.

Parameters:

rows - the number of rows the matrix shall have.

columns - the number of columns the matrix shall have.

Throws:

java.lang.IllegalArgumentException - if rows<0 || columns<0 || (double)columns*rows > Integer.MAX_VALUE .

DenseColumnDoubleMatrix2D

public DenseColumnDoubleMatrix2D(int rows,
                                 int columns,
                                 double[] elements,
                                 int rowZero,
                                 int columnZero,
                                 int rowStride,
                                 int columnStride,
                                 boolean isView)

Constructs a matrix with the given parameters.

Parameters:

rows - the number of rows the matrix shall have.

columns - the number of columns the matrix shall have.

elements - the cells.

rowZero - the position of the first element.

columnZero - the position of the first element.

rowStride - the number of elements between two rows, i.e. index(i+1,j)-index(i,j).

columnStride - the number of elements between two columns, i.e. index(i,j+1)-index(i,j).

isView - if true then a matrix view is constructed

Throws:

java.lang.IllegalArgumentException - if rows<0 || columns<0 || (double)columns*rows > Integer.MAX_VALUE or flip's are illegal.

DenseColumnDoubleMatrix2D

public DenseColumnDoubleMatrix2D(MatrixVectorReader reader)
                          throws java.io.IOException

Constructs a matrix from MatrixVectorReader.

Parameters:

reader - matrix reader

Throws:

java.io.IOException

Method Detail

aggregate

public double aggregate(DoubleDoubleFunction aggr,
                        DoubleFunction f)

Description copied from class: DoubleMatrix2D

Applies a function to each cell and aggregates the results. Returns a value v such that v==a(size()) where a(i) == aggr( a(i-1), f(get(row,column)) ) and terminators are a(1) == f(get(0,0)), a(0)==Double.NaN.

Example:

         cern.jet.math.Functions F = cern.jet.math.Functions.functions;
         2 x 2 matrix
         0 1
         2 3
 
         // Sum( x[row,col]*x[row,col] ) 
         matrix.aggregate(F.plus,F.square);
         --> 14
 
 

For further examples, see the package doc.

Overrides:

aggregate in class DoubleMatrix2D

Parameters:

aggr - an aggregation function taking as first argument the current aggregation and as second argument the transformed current cell value.

f - a function transforming the current cell value.

Returns:

the aggregated measure.

See Also:

DoubleFunctions

aggregate

public double aggregate(DoubleDoubleFunction aggr,
                        DoubleFunction f,
                        DoubleProcedure cond)

Description copied from class: DoubleMatrix2D

Applies a function to each cell that satisfies a condition and aggregates the results.

Overrides:

aggregate in class DoubleMatrix2D

Parameters:

aggr - an aggregation function taking as first argument the current aggregation and as second argument the transformed current cell value.

f - a function transforming the current cell value.

cond - a condition.

Returns:

the aggregated measure.

See Also:

DoubleFunctions

aggregate

public double aggregate(DoubleDoubleFunction aggr,
                        DoubleFunction f,
                        IntArrayList rowList,
                        IntArrayList columnList)

Description copied from class: DoubleMatrix2D

Applies a function to all cells with a given indexes and aggregates the results.

Overrides:

aggregate in class DoubleMatrix2D

Parameters:

aggr - an aggregation function taking as first argument the current aggregation and as second argument the transformed current cell value.

f - a function transforming the current cell value.

rowList - row indexes.

columnList - column indexes.

Returns:

the aggregated measure.

See Also:

DoubleFunctions

aggregate

public double aggregate(DoubleMatrix2D other,
                        DoubleDoubleFunction aggr,
                        DoubleDoubleFunction f)

Description copied from class: DoubleMatrix2D

Applies a function to each corresponding cell of two matrices and aggregates the results. Returns a value v such that v==a(size()) where a(i) == aggr( a(i-1), f(get(row,column),other.get(row,column)) ) and terminators are a(1) == f(get(0,0),other.get(0,0)), a(0)==Double.NaN.

Example:

         cern.jet.math.Functions F = cern.jet.math.Functions.functions;
         x == 2 x 2 matrix
         0 1
         2 3
 
         y == 2 x 2 matrix
         0 1
         2 3
 
         // Sum( x[row,col] * y[row,col] ) 
         x.aggregate(y, F.plus, F.mult);
         --> 14
 
         // Sum( (x[row,col] + y[row,col])ˆ2 )
         x.aggregate(y, F.plus, F.chain(F.square,F.plus));
         --> 56
 
 

For further examples, see the package doc.

Overrides:

aggregate in class DoubleMatrix2D

aggr - an aggregation function taking as first argument the current aggregation and as second argument the transformed current cell values.

f - a function transforming the current cell values.

Returns:

the aggregated measure.

See Also:

DoubleFunctions

assign

public DoubleMatrix2D assign(DoubleFunction function)

Description copied from class: DoubleMatrix2D

Assigns the result of a function to each cell; x[row,col] = function(x[row,col]).

Example:

         matrix = 2 x 2 matrix 
         0.5 1.5      
         2.5 3.5
 
         // change each cell to its sine
         matrix.assign(cern.jet.math.Functions.sin);
         -->
         2 x 2 matrix
         0.479426  0.997495 
         0.598472 -0.350783
 
 

For further examples, see the package doc.

Overrides:

assign in class DoubleMatrix2D

Parameters:

function - a function object taking as argument the current cell's value.

Returns:

this (for convenience only).

See Also:

DoubleFunctions

assign

public DoubleMatrix2D assign(DoubleProcedure cond,
                             DoubleFunction function)

Description copied from class: DoubleMatrix2D

Assigns the result of a function to all cells that satisfy a condition.

Overrides:

assign in class DoubleMatrix2D

Parameters:

cond - a condition.

function - a function object.

Returns:

this (for convenience only).

See Also:

DoubleFunctions

assign

public DoubleMatrix2D assign(DoubleProcedure cond,
                             double value)

Description copied from class: DoubleMatrix2D

Assigns a value to all cells that satisfy a condition.

Overrides:

assign in class DoubleMatrix2D

Parameters:

cond - a condition.

value - a value.

Returns:

this (for convenience only).

assign

public DoubleMatrix2D assign(double value)

Description copied from class: DoubleMatrix2D

Sets all cells to the state specified by value.

Overrides:

assign in class DoubleMatrix2D

Parameters:

value - the value to be filled into the cells.

Returns:

this (for convenience only).

assign

public DoubleMatrix2D assign(double[] values)

Description copied from class: DoubleMatrix2D

Sets all cells to the state specified by values. values is required to have the form values[row*column] and elements have to be stored in a row-wise order.

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

Overrides:

assign in class DoubleMatrix2D

Parameters:

values - the values to be filled into the cells.

Returns:

this (for convenience only).

assign

public DoubleMatrix2D assign(double[][] values)

Description copied from class: DoubleMatrix2D

Sets all cells to the state specified by values. values is required to have the form values[row][column] and have exactly the same number of rows and columns as the receiver.

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

Overrides:

assign in class DoubleMatrix2D

Parameters:

values - the values to be filled into the cells.

Returns:

this (for convenience only).

assign

public DoubleMatrix2D assign(DoubleMatrix2D source)

Description copied from class: DoubleMatrix2D

Replaces all cell values of the receiver with the values of another matrix. Both matrices must have the same number of rows and columns. If both matrices share the same cells (as is the case if they are views derived from the same matrix) and intersect in an ambiguous way, then replaces as if using an intermediate auxiliary deep copy of other.

Overrides:

assign in class DoubleMatrix2D

Parameters:

source - the source matrix to copy from (may be identical to the receiver).

Returns:

this (for convenience only).

assign

public DoubleMatrix2D assign(DoubleMatrix2D y,
                             DoubleDoubleFunction function)

Description copied from class: DoubleMatrix2D

Assigns the result of a function to each cell; x[row,col] = function(x[row,col],y[row,col]).

Example:

         // assign x[row,col] = x[row,col]<sup>y[row,col]</sup>
         m1 = 2 x 2 matrix 
         0 1 
         2 3
 
         m2 = 2 x 2 matrix 
         0 2 
         4 6
 
         m1.assign(m2, cern.jet.math.Functions.pow);
         -->
         m1 == 2 x 2 matrix
         1   1 
         16 729
 
 

For further examples, see the package doc.

Overrides:

assign in class DoubleMatrix2D

Parameters:

y - the secondary matrix to operate on.

function - a function object taking as first argument the current cell's value of this, and as second argument the current cell's value of y,

Returns:

this (for convenience only).

See Also:

DoubleFunctions

assign

public DoubleMatrix2D assign(DoubleMatrix2D y,
                             DoubleDoubleFunction function,
                             IntArrayList rowList,
                             IntArrayList columnList)

Description copied from class: DoubleMatrix2D

Assigns the result of a function to all cells with a given indexes

Overrides:

assign in class DoubleMatrix2D

Parameters:

y - the secondary matrix to operate on.

function - a function object taking as first argument the current cell's value of this, and as second argument the current cell's value of y,

rowList - row indexes.

columnList - column indexes.

Returns:

this (for convenience only).

See Also:

DoubleFunctions

assign

public DoubleMatrix2D assign(float[] values)

Description copied from class: DoubleMatrix2D

Sets all cells to the state specified by values. values is required to have the form values[row*column] and elements have to be stored in a row-wise order.

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

Overrides:

assign in class DoubleMatrix2D

Parameters:

values - the values to be filled into the cells.

Returns:

this (for convenience only).

cardinality

public int cardinality()

Description copied from class: DoubleMatrix2D

Returns the number of cells having non-zero values; ignores tolerance.

Overrides:

cardinality in class DoubleMatrix2D

Returns:

cardinality

dct2

public void dct2(boolean scale)

Computes the 2D discrete cosine transform (DCT-II) of this matrix.

Parameters:

scale - if true then scaling is performed

dctColumns

public void dctColumns(boolean scale)

Computes the discrete cosine transform (DCT-II) of each column of this matrix.

Parameters:

scale - if true then scaling is performed

dctRows

public void dctRows(boolean scale)

Computes the discrete cosine transform (DCT-II) of each row of this matrix.

Parameters:

scale - if true then scaling is performed

dht2

public void dht2()

Computes the 2D discrete Hartley transform (DHT) of this matrix.

dhtColumns

public void dhtColumns()

Computes the discrete Hartley transform (DHT) of each column of this matrix.

dhtRows

public void dhtRows()

Computes the discrete Hartley transform (DHT) of each row of this matrix.

dst2

public void dst2(boolean scale)

Computes the 2D discrete sine transform (DST-II) of this matrix.

Parameters:

scale - if true then scaling is performed

dstColumns

public void dstColumns(boolean scale)

Computes the discrete sine transform (DST-II) of each column of this matrix.

Parameters:

scale - if true then scaling is performed

dstRows

public void dstRows(boolean scale)

Computes the discrete sine transform (DST-II) of each row of this matrix.

Parameters:

scale - if true then scaling is performed

elements

public double[] elements()

Description copied from class: DoubleMatrix2D

Returns the elements of this matrix.

Specified by:

elements in class DoubleMatrix2D

Returns:

the elements

fft2

public void fft2()

Computes the 2D discrete Fourier transform (DFT) of this matrix. The physical layout of the output data is as follows:

 this[k1][2*k2] = Re[k1][k2] = Re[rows-k1][columns-k2], 
 this[k1][2*k2+1] = Im[k1][k2] = -Im[rows-k1][columns-k2], 
       0<k1<rows, 0<k2<columns/2, 
 this[0][2*k2] = Re[0][k2] = Re[0][columns-k2], 
 this[0][2*k2+1] = Im[0][k2] = -Im[0][columns-k2], 
       0<k2<columns/2, 
 this[k1][0] = Re[k1][0] = Re[rows-k1][0], 
 this[k1][1] = Im[k1][0] = -Im[rows-k1][0], 
 this[rows-k1][1] = Re[k1][columns/2] = Re[rows-k1][columns/2], 
 this[rows-k1][0] = -Im[k1][columns/2] = Im[rows-k1][columns/2], 
       0<k1<rows/2, 
 this[0][0] = Re[0][0], 
 this[0][1] = Re[0][columns/2], 
 this[rows/2][0] = Re[rows/2][0], 
 this[rows/2][1] = Re[rows/2][columns/2]
 

This method computes only half of the elements of the real transform. The other half satisfies the symmetry condition. If you want the full real forward transform, use getFft2. To get back the original data, use ifft2.

Throws:

java.lang.IllegalArgumentException - if the row size or the column size of this matrix is not a power of 2 number.

forEachNonZero

public DoubleMatrix2D forEachNonZero(IntIntDoubleFunction function)

Description copied from class: DoubleMatrix2D

Assigns the result of a function to each non-zero cell; x[row,col] = function(x[row,col]). Use this method for fast special-purpose iteration. If you want to modify another matrix instead of this (i.e. work in read-only mode), simply return the input value unchanged. Parameters to function are as follows: first==row, second==column, third==nonZeroValue.

Overrides:

forEachNonZero in class DoubleMatrix2D

Parameters:

function - a function object taking as argument the current non-zero cell's row, column and value.

Returns:

this (for convenience only).

getRowMajor

public DenseDoubleMatrix2D getRowMajor()

Returns a new matrix that has the same elements as this matrix, but they are addressed internally in row major. This method creates a new object (not a view), so changes in the returned matrix are NOT reflected in this matrix.

Returns:

this matrix with elements addressed internally in row major

getFft2

public DenseDComplexMatrix2D getFft2()

Returns new complex matrix which is the 2D discrete Fourier transform (DFT) of this matrix.

Returns:

the 2D discrete Fourier transform (DFT) of this matrix.

getFftColumns

public DenseDComplexMatrix2D getFftColumns()

Returns new complex matrix which is the discrete Fourier transform (DFT) of each column of this matrix.

Returns:

the discrete Fourier transform (DFT) of each column of this matrix.

getFftRows

public DenseDComplexMatrix2D getFftRows()

Returns new complex matrix which is the discrete Fourier transform (DFT) of each row of this matrix.

Returns:

the discrete Fourier transform (DFT) of each row of this matrix.

getIfft2

public DComplexMatrix2D getIfft2(boolean scale)

Returns new complex matrix which is the 2D inverse of the discrete Fourier transform (IDFT) of this matrix.

Returns:

the 2D inverse of the discrete Fourier transform (IDFT) of this matrix.

getIfftColumns

public DComplexMatrix2D getIfftColumns(boolean scale)

Returns new complex matrix which is the inverse of the discrete Fourier transform (IDFT) of each column of this matrix.

Returns:

the inverse of the discrete Fourier transform (IDFT) of each column of this matrix.

getIfftRows

public DComplexMatrix2D getIfftRows(boolean scale)

Returns new complex matrix which is the inverse of the discrete Fourier transform (IDFT) of each row of this matrix.

Returns:

the inverse of the discrete Fourier transform (IDFT) of each row of this matrix.

getNegativeValues

public void getNegativeValues(IntArrayList rowList,
                              IntArrayList columnList,
                              DoubleArrayList valueList)

Description copied from class: DoubleMatrix2D

Fills the coordinates and values of cells having negative values into the specified lists. Fills into the lists, starting at index 0. After this call returns the specified lists all have a new size, the number of non-zero values.

Overrides:

getNegativeValues in class DoubleMatrix2D

Parameters:

rowList - the list to be filled with row indexes, can have any size.

columnList - the list to be filled with column indexes, can have any size.

valueList - the list to be filled with values, can have any size.

getNonZeros

public void getNonZeros(IntArrayList rowList,
                        IntArrayList columnList,
                        DoubleArrayList valueList)

Description copied from class: DoubleMatrix2D

Fills the coordinates and values of cells having non-zero values into the specified lists. Fills into the lists, starting at index 0. After this call returns the specified lists all have a new size, the number of non-zero values.

In general, fill order is unspecified. This implementation fills like for (row = 0..rows-1) for (column = 0..columns-1) do ... . However, subclasses are free to us any other order, even an order that may change over time as cell values are changed. (Of course, result lists indexes are guaranteed to correspond to the same cell).

Example:

         2 x 3 matrix:
         0, 0, 8
         0, 7, 0
         -->
         rowList    = (0,1)
         columnList = (2,1)
         valueList  = (8,7)
 
 

In other words, get(0,2)==8, get(1,1)==7.

Overrides:

getNonZeros in class DoubleMatrix2D

Parameters:

rowList - the list to be filled with row indexes, can have any size.

columnList - the list to be filled with column indexes, can have any size.

valueList - the list to be filled with values, can have any size.

getPositiveValues

public void getPositiveValues(IntArrayList rowList,
                              IntArrayList columnList,
                              DoubleArrayList valueList)

Description copied from class: DoubleMatrix2D

Fills the coordinates and values of cells having positive values into the specified lists. Fills into the lists, starting at index 0. After this call returns the specified lists all have a new size, the number of non-zero values.

Overrides:

getPositiveValues in class DoubleMatrix2D

Parameters:

rowList - the list to be filled with row indexes, can have any size.

columnList - the list to be filled with column indexes, can have any size.

valueList - the list to be filled with values, can have any size.

getQuick

public double getQuick(int row,
                       int column)

Description copied from class: DoubleMatrix2D

Returns the matrix cell value at coordinate [row,column].

Provided with invalid parameters this method may return invalid objects without throwing any exception. You should only use this method when you are absolutely sure that the coordinate is within bounds. Precondition (unchecked): 0 <= column < columns() && 0 <= row < rows().

Specified by:

getQuick in class DoubleMatrix2D

Parameters:

row - the index of the row-coordinate.

column - the index of the column-coordinate.

Returns:

the value at the specified coordinate.

idct2

public void idct2(boolean scale)

Computes the 2D inverse of the discrete cosine transform (DCT-III) of this matrix.

Parameters:

scale - if true then scaling is performed

idctColumns

public void idctColumns(boolean scale)

Computes the inverse of the discrete cosine transform (DCT-III) of each column of this matrix.

Parameters:

scale - if true then scaling is performed

idctRows

public void idctRows(boolean scale)

Computes the inverse of the discrete cosine transform (DCT-III) of each row of this matrix.

Parameters:

scale - if true then scaling is performed

idht2

public void idht2(boolean scale)

Computes the 2D inverse of the discrete Hartley transform (IDHT) of this matrix.

Parameters:

scale - if true then scaling is performed

idhtColumns

public void idhtColumns(boolean scale)

Computes the inverse of the discrete Hartley transform (IDHT) of each column of this matrix.

Parameters:

scale - if true then scaling is performed

idhtRows

public void idhtRows(boolean scale)

Computes the inverse of the discrete Hartley transform (IDHT) of each row of this matrix.

Parameters:

scale - if true then scaling is performed

idst2

public void idst2(boolean scale)

Computes the 2D inverse of the discrete sine transform (DST-III) of this matrix.

Parameters:

scale - if true then scaling is performed

idstColumns

public void idstColumns(boolean scale)

Computes the inverse of the discrete sine transform (DST-III) of each column of this matrix.

Parameters:

scale - if true then scaling is performed

idstRows

public void idstRows(boolean scale)

Computes the inverse of the discrete sine transform (DST-III) of each row of this matrix.

Parameters:

scale - if true then scaling is performed

ifft2

public void ifft2(boolean scale)

Computes the 2D inverse of the discrete Fourier transform (IDFT) of this matrix. The physical layout of the input data has to be as follows:

 this[k1][2*k2] = Re[k1][k2] = Re[rows-k1][columns-k2], 
 this[k1][2*k2+1] = Im[k1][k2] = -Im[rows-k1][columns-k2], 
       0<k1<rows, 0<k2<columns/2, 
 this[0][2*k2] = Re[0][k2] = Re[0][columns-k2], 
 this[0][2*k2+1] = Im[0][k2] = -Im[0][columns-k2], 
       0<k2<columns/2, 
 this[k1][0] = Re[k1][0] = Re[rows-k1][0], 
 this[k1][1] = Im[k1][0] = -Im[rows-k1][0], 
 this[rows-k1][1] = Re[k1][columns/2] = Re[rows-k1][columns/2], 
 this[rows-k1][0] = -Im[k1][columns/2] = Im[rows-k1][columns/2], 
       0<k1<rows/2, 
 this[0][0] = Re[0][0], 
 this[0][1] = Re[0][columns/2], 
 this[rows/2][0] = Re[rows/2][0], 
 this[rows/2][1] = Re[rows/2][columns/2]
 

This method computes only half of the elements of the real transform. The other half satisfies the symmetry condition. If you want the full real inverse transform, use getIfft2.

Parameters:

scale - if true then scaling is performed

Throws:

java.lang.IllegalArgumentException - if the row size or the column size of this matrix is not a power of 2 number.

index

public long index(int row,
                  int column)

Description copied from class: AbstractMatrix2D

Returns the position of the given coordinate within the (virtual or non-virtual) internal 1-dimensional array.

Overrides:

index in class AbstractMatrix2D

Parameters:

row - the index of the row-coordinate.

column - the index of the column-coordinate.

like

public DoubleMatrix2D like(int rows,
                           int columns)

Description copied from class: DoubleMatrix2D

Construct and returns a new empty matrix of the same dynamic type as the receiver, having the specified number of rows and columns. For example, if the receiver is an instance of type DenseDoubleMatrix2D the new matrix must also be of type DenseDoubleMatrix2D, if the receiver is an instance of type SparseDoubleMatrix2D the new matrix must also be of type SparseDoubleMatrix2D, etc. In general, the new matrix should have internal parametrization as similar as possible.

Specified by:

like in class DoubleMatrix2D

Parameters:

rows - the number of rows the matrix shall have.

columns - the number of columns the matrix shall have.

Returns:

a new empty matrix of the same dynamic type.

like1D

public DoubleMatrix1D like1D(int size)

Description copied from class: DoubleMatrix2D

Construct and returns a new 1-d matrix of the corresponding dynamic type, entirelly independent of the receiver. For example, if the receiver is an instance of type DenseDoubleMatrix2D the new matrix must be of type DenseDoubleMatrix1D, if the receiver is an instance of type SparseDoubleMatrix2D the new matrix must be of type SparseDoubleMatrix1D, etc.

Specified by:

like1D in class DoubleMatrix2D

Parameters:

size - the number of cells the matrix shall have.

Returns:

a new matrix of the corresponding dynamic type.

getMaxLocation

public double[] getMaxLocation()

Description copied from class: DoubleMatrix2D

Return the maximum value of this matrix together with its location

Overrides:

getMaxLocation in class DoubleMatrix2D

Returns:

maximum_value, row_location, column_location };

getMinLocation

public double[] getMinLocation()

Description copied from class: DoubleMatrix2D

Return the minimum value of this matrix together with its location

Overrides:

getMinLocation in class DoubleMatrix2D

Returns:

minimum_value, row_location, column_location};

setQuick

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

Description copied from class: DoubleMatrix2D

Sets the matrix cell at coordinate [row,column] to the specified value.

Provided with invalid parameters this method may access illegal indexes without throwing any exception. You should only use this method when you are absolutely sure that the coordinate is within bounds. Precondition (unchecked): 0 <= column < columns() && 0 <= row < rows().

Specified by:

setQuick in class DoubleMatrix2D

Parameters:

row - the index of the row-coordinate.

column - the index of the column-coordinate.

value - the value to be filled into the specified cell.

toArray

public double[][] toArray()

Description copied from class: DoubleMatrix2D

Constructs and returns a 2-dimensional array containing the cell values. The returned array values has the form values[row][column] and has the same number of rows and columns as the receiver.

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

Overrides:

toArray in class DoubleMatrix2D

Returns:

an array filled with the values of the cells.

vectorize

public DoubleMatrix1D vectorize()

Description copied from class: DoubleMatrix2D

Returns a vector obtained by stacking the columns of the matrix on top of one another.

Specified by:

vectorize in class DoubleMatrix2D

Returns:

a vector of columns of this matrix.

zMult

public DoubleMatrix1D zMult(DoubleMatrix1D y,
                            DoubleMatrix1D z,
                            double alpha,
                            double beta,
                            boolean transposeA)

Description copied from class: DoubleMatrix2D

Linear algebraic matrix-vector multiplication; z = alpha * A * y + beta*z. z[i] = alpha*Sum(A[i,j] * y[j]) + beta*z[i], i=0..A.rows()-1, j=0..y.size()-1 . Where A == this.
Note: Matrix shape conformance is checked after potential transpositions.

Overrides:

zMult in class DoubleMatrix2D

Parameters:

y - the source vector.

z - the vector where results are to be stored. Set this parameter to null to indicate that a new result vector shall be constructed.

Returns:

z (for convenience only).

zMult

public DoubleMatrix2D zMult(DoubleMatrix2D B,
                            DoubleMatrix2D C,
                            double alpha,
                            double beta,
                            boolean transposeA,
                            boolean transposeB)

Description copied from class: DoubleMatrix2D

Linear algebraic matrix-matrix multiplication; C = alpha * A x B + beta*C. C[i,j] = alpha*Sum(A[i,k] * B[k,j]) + beta*C[i,j], k=0..n-1.
Matrix shapes: A(m x n), B(n x p), C(m x p).
Note: Matrix shape conformance is checked after potential transpositions.

Overrides:

zMult in class DoubleMatrix2D

Parameters:

B - the second source matrix.

C - the matrix where results are to be stored. Set this parameter to null to indicate that a new result matrix shall be constructed.

Returns:

C (for convenience only).

zSum

public double zSum()

Description copied from class: DoubleMatrix2D

Returns the sum of all cells; Sum( x[i,j] ).

Overrides:

zSum in class DoubleMatrix2D

Returns:

the sum.