public class DenseDComplexMatrix3D extends DComplexMatrix3D
Internally holds one single contigous one-dimensional array, addressed in (in decreasing order of significance): slice major, row major, column major. Complex data is represented by 2 double values in sequence, i.e. elements[idx] constitute the real part and elements[idx+1] constitute the imaginary part, where idx = index(0,0,0) + slice * sliceStride + row * rowStride + column * columnStride. Note that this implementation is not synchronized.
Applications demanding utmost speed can exploit knowledge about the internal addressing. Setting/getting values in a loop slice-by-slice, row-by-row, column-by-column is quicker than, for example, column-by-column, row-by-row, slice-by-slice. Thus
for (int slice = 0; slice < slices; slice++) { for (int row = 0; row < rows; row++) { for (int column = 0; column < columns; column++) { matrix.setQuick(slice, row, column, someValue); } } }is quicker than
for (int column = 0; column < columns; column++) { for (int row = 0; row < rows; row++) { for (int slice = 0; slice < slices; slice++) { matrix.setQuick(slice, row, column, someValue); } } }
Constructor and Description |
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DenseDComplexMatrix3D(double[][][] values)
Constructs a matrix with a copy of the given values.
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DenseDComplexMatrix3D(DoubleMatrix3D realPart)
Constructs a matrix with the same size as realPart matrix and
fills the real part of this matrix with elements of realPart.
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DenseDComplexMatrix3D(int slices,
int rows,
int columns)
Constructs a matrix with a given number of slices, rows and columns.
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DenseDComplexMatrix3D(int slices,
int rows,
int columns,
double[] elements,
int sliceZero,
int rowZero,
int columnZero,
int sliceStride,
int rowStride,
int columnStride,
boolean isNoView)
Constructs a matrix with the given parameters.
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Modifier and Type | Method and Description |
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double[] |
aggregate(DComplexDComplexDComplexFunction aggr,
DComplexDComplexFunction f)
Applies a function to each cell and aggregates the results.
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double[] |
aggregate(DComplexMatrix3D other,
DComplexDComplexDComplexFunction aggr,
DComplexDComplexDComplexFunction f)
Applies a function to each corresponding cell of two matrices and
aggregates the results.
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DComplexMatrix3D |
assign(DComplexDComplexFunction function)
Assigns the result of a function to each cell.
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DComplexMatrix3D |
assign(DComplexMatrix3D source)
Replaces all cell values of the receiver with the values of another
matrix.
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DComplexMatrix3D |
assign(DComplexMatrix3D y,
DComplexDComplexDComplexFunction function)
Assigns the result of a function to each cell.
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DComplexMatrix3D |
assign(DComplexProcedure cond,
DComplexDComplexFunction f)
Assigns the result of a function to all cells that satisfy a condition.
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DComplexMatrix3D |
assign(DComplexProcedure cond,
double[] value)
Assigns a value to all cells that satisfy a condition.
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DComplexMatrix3D |
assign(DComplexRealFunction function)
Assigns the result of a function to the real part of the receiver.
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DComplexMatrix3D |
assign(double[] values)
Sets all cells to the state specified by values.
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DComplexMatrix3D |
assign(double[][][] values)
Sets all cells to the state specified by values.
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DComplexMatrix3D |
assign(double re,
double im)
Sets all cells to the state specified by re and im.
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DComplexMatrix3D |
assignImaginary(DoubleMatrix3D other)
Replaces imaginary part of the receiver with the values of another real
matrix.
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DComplexMatrix3D |
assignReal(DoubleMatrix3D other)
Replaces real part of the receiver with the values of another real
matrix.
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int |
cardinality()
Returns the number of cells having non-zero values; ignores tolerance.
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double[] |
elements()
Returns the elements of this matrix.
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void |
fft2Slices()
Computes the 2D discrete Fourier transform (DFT) of each slice of this
matrix.
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void |
fft3()
Computes the 3D discrete Fourier transform (DFT) of this matrix.
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DoubleMatrix3D |
getImaginaryPart()
Returns the imaginary part of this matrix
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void |
getNonZeros(IntArrayList sliceList,
IntArrayList rowList,
IntArrayList columnList,
ArrayList<double[]> valueList)
Fills the coordinates and values of cells having non-zero values into the
specified lists.
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double[] |
getQuick(int slice,
int row,
int column)
Returns the matrix cell value at coordinate [slice,row,column].
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DoubleMatrix3D |
getRealPart()
Returns the real part of this matrix
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void |
ifft2Slices(boolean scale)
Computes the 2D inverse of the discrete Fourier transform (IDFT) of each
slice of this matrix.
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void |
ifft3(boolean scale)
Computes the 3D inverse of the discrete Fourier transform (IDFT) of this
matrix.
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long |
index(int slice,
int row,
int column)
Returns the position of the given coordinate within the (virtual or
non-virtual) internal 1-dimensional array.
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DComplexMatrix3D |
like(int slices,
int rows,
int columns)
Construct and returns a new empty matrix of the same dynamic type
as the receiver, having the specified number of slices, rows and columns.
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DComplexMatrix2D |
like2D(int rows,
int columns)
Construct and returns a new 2-d matrix of the corresponding dynamic
type, sharing the same cells.
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void |
setQuick(int slice,
int row,
int column,
double[] value)
Sets the matrix cell at coordinate [slice,row,column] to the
specified value.
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void |
setQuick(int slice,
int row,
int column,
double re,
double im)
Sets the matrix cell at coordinate [slice,row,column] to the
specified value.
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double[][][] |
toArray()
Constructs and returns a 3-dimensional array containing the cell values.
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DComplexMatrix1D |
vectorize()
Returns a vector obtained by stacking the columns of each slice of the
matrix on top of one another.
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double[] |
zSum()
Returns the sum of all cells; Sum( x[i,j,k] ).
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copy, equals, equals, get, like, set, set, toString, toString, viewColumn, viewColumnFlip, viewDice, viewPart, viewRow, viewRowFlip, viewSelection, viewSelection, viewSlice, viewSliceFlip, viewStrides
checkShape, checkShape, columns, columnStride, rows, rowStride, size, slices, sliceStride, toStringShort
ensureCapacity, isView, trimToSize
clone
public DenseDComplexMatrix3D(double[][][] values)
The values are copied. So subsequent changes in values are not reflected in the matrix, and vice-versa.
values
- The values to be filled into the new matrix.IllegalArgumentException
- if
for any 1 <= slice < values.length: values[slice].length != values[slice-1].length
.IllegalArgumentException
- if
for any 1 <= row < values[0].length: values[slice][row].length != values[slice][row-1].length
.public DenseDComplexMatrix3D(DoubleMatrix3D realPart)
realPart
- a real matrix whose elements become a real part of this matrixIllegalArgumentException
- if (double)slices*columns*rows > Integer.MAX_VALUE.IllegalArgumentException
- if slices<0 || rows<0 || columns<0.public DenseDComplexMatrix3D(int slices, int rows, int columns)
slices
- the number of slices the matrix shall have.rows
- the number of rows the matrix shall have.columns
- the number of columns the matrix shall have.IllegalArgumentException
- if (double)slices*columns*rows > Integer.MAX_VALUE.IllegalArgumentException
- if slices<0 || rows<0 || columns<0.public DenseDComplexMatrix3D(int slices, int rows, int columns, double[] elements, int sliceZero, int rowZero, int columnZero, int sliceStride, int rowStride, int columnStride, boolean isNoView)
slices
- the number of slices the matrix shall have.rows
- the number of rows the matrix shall have.columns
- the number of columns the matrix shall have.elements
- the cells.sliceZero
- the position of the first element.rowZero
- the position of the first element.columnZero
- the position of the first element.sliceStride
- the number of elements between two slices, i.e.
index(k+1,i,j)-index(k,i,j).rowStride
- the number of elements between two rows, i.e.
index(k,i+1,j)-index(k,i,j).columnStride
- the number of elements between two columns, i.e.
index(k,i,j+1)-index(k,i,j).isNoView
- if false then the view is constructedIllegalArgumentException
- if (double)slices*columns*rows > Integer.MAX_VALUE.IllegalArgumentException
- if slices<0 || rows<0 || columns<0.public double[] aggregate(DComplexDComplexDComplexFunction aggr, DComplexDComplexFunction f)
DComplexMatrix3D
aggregate
in class DComplexMatrix3D
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.DoubleFunctions
public double[] aggregate(DComplexMatrix3D other, DComplexDComplexDComplexFunction aggr, DComplexDComplexDComplexFunction f)
DComplexMatrix3D
aggregate
in class DComplexMatrix3D
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.DoubleFunctions
public DComplexMatrix3D assign(DComplexDComplexFunction function)
DComplexMatrix3D
assign
in class DComplexMatrix3D
function
- a function object taking as argument the current cell's value.DComplexFunctions
public DComplexMatrix3D assign(DComplexProcedure cond, DComplexDComplexFunction f)
DComplexMatrix3D
assign
in class DComplexMatrix3D
cond
- a condition.f
- a function object.DComplexFunctions
public DComplexMatrix3D assign(DComplexProcedure cond, double[] value)
DComplexMatrix3D
assign
in class DComplexMatrix3D
cond
- a condition.value
- a value (re=value[0], im=value[1]).public DComplexMatrix3D assign(DComplexRealFunction function)
DComplexMatrix3D
assign
in class DComplexMatrix3D
function
- a function object taking as argument the current cell's value.DComplexFunctions
public DComplexMatrix3D assign(DComplexMatrix3D source)
DComplexMatrix3D
assign
in class DComplexMatrix3D
source
- the source matrix to copy from (may be identical to the
receiver).public DComplexMatrix3D assign(DComplexMatrix3D y, DComplexDComplexDComplexFunction function)
DComplexMatrix3D
assign
in class DComplexMatrix3D
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,DComplexFunctions
public DComplexMatrix3D assign(double re, double im)
DComplexMatrix3D
assign
in class DComplexMatrix3D
re
- the real part of the value to be filled into the cells.im
- the imagiary part of the value to be filled into the cells.public DComplexMatrix3D assign(double[] values)
DComplexMatrix3D
The values are copied. So subsequent changes in values are not reflected in the matrix, and vice-versa.
assign
in class DComplexMatrix3D
values
- the values to be filled into the cells.public DComplexMatrix3D assign(double[][][] values)
DComplexMatrix3D
The values are copied. So subsequent changes in values are not reflected in the matrix, and vice-versa.
assign
in class DComplexMatrix3D
values
- the values to be filled into the cells.public DComplexMatrix3D assignImaginary(DoubleMatrix3D other)
DComplexMatrix3D
assignImaginary
in class DComplexMatrix3D
other
- the source matrix to copy frompublic DComplexMatrix3D assignReal(DoubleMatrix3D other)
DComplexMatrix3D
assignReal
in class DComplexMatrix3D
other
- the source matrix to copy frompublic int cardinality()
DComplexMatrix3D
cardinality
in class DComplexMatrix3D
public void fft2Slices()
public void fft3()
public double[] elements()
DComplexMatrix3D
elements
in class DComplexMatrix3D
public DoubleMatrix3D getImaginaryPart()
DComplexMatrix3D
getImaginaryPart
in class DComplexMatrix3D
public void getNonZeros(IntArrayList sliceList, IntArrayList rowList, IntArrayList columnList, ArrayList<double[]> valueList)
DComplexMatrix3D
In general, fill order is unspecified. This implementation fill like: for (slice = 0..slices-1) for (row = 0..rows-1) for (column = 0..colums-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).
getNonZeros
in class DComplexMatrix3D
sliceList
- the list to be filled with slice indexes, can have any size.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.public double[] getQuick(int slice, int row, int column)
DComplexMatrix3D
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): slice<0 || slice>=slices() || row<0 || row>=rows() || column<0 || column>=column().
getQuick
in class DComplexMatrix3D
slice
- the index of the slice-coordinate.row
- the index of the row-coordinate.column
- the index of the column-coordinate.public DoubleMatrix3D getRealPart()
DComplexMatrix3D
getRealPart
in class DComplexMatrix3D
public void ifft2Slices(boolean scale)
scale
- if true then scaling is performedpublic void ifft3(boolean scale)
scale
- if true then scaling is performedpublic DComplexMatrix3D like(int slices, int rows, int columns)
DComplexMatrix3D
like
in class DComplexMatrix3D
slices
- the number of slices the matrix shall have.rows
- the number of rows the matrix shall have.columns
- the number of columns the matrix shall have.public DComplexMatrix2D like2D(int rows, int columns)
DComplexMatrix3D
like2D
in class DComplexMatrix3D
rows
- the number of rows the matrix shall have.columns
- the number of columns the matrix shall have.public void setQuick(int slice, int row, int column, double re, double im)
DComplexMatrix3D
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): slice<0 || slice>=slices() || row<0 || row>=rows() || column<0 || column>=column().
setQuick
in class DComplexMatrix3D
slice
- the index of the slice-coordinate.row
- the index of the row-coordinate.column
- the index of the column-coordinate.re
- the real part of the value to be filled into the specified
cell.im
- the imaginary part of the value to be filled into the
specified cell.public void setQuick(int slice, int row, int column, double[] value)
DComplexMatrix3D
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): slice<0 || slice>=slices() || row<0 || row>=rows() || column<0 || column>=column().
setQuick
in class DComplexMatrix3D
slice
- the index of the slice-coordinate.row
- the index of the row-coordinate.column
- the index of the column-coordinate.value
- the value to be filled into the specified cell.public double[][][] toArray()
DComplexMatrix3D
The values are copied. So subsequent changes in values are not reflected in the matrix, and vice-versa.
toArray
in class DComplexMatrix3D
public DComplexMatrix1D vectorize()
DComplexMatrix3D
vectorize
in class DComplexMatrix3D
public double[] zSum()
DComplexMatrix3D
zSum
in class DComplexMatrix3D
public long index(int slice, int row, int column)
AbstractMatrix3D
index
in class AbstractMatrix3D
slice
- the index of the slice-coordinate.row
- the index of the row-coordinate.column
- the index of the third-coordinate.Jump to the Parallel Colt Homepage