public class SparseDoubleMatrix3D extends DoubleMatrix3D
Implementation:
Note that this implementation is not synchronized.
Uses a OpenIntDoubleHashMap, which is a compact and performant hashing technique.
Memory requirements:
Cells that
trimToSize().
worst case: memory [bytes] = (1/minLoadFactor) * nonZeros * 13.
best case: memory [bytes] = (1/maxLoadFactor) * nonZeros * 13.
Where nonZeros = cardinality() is the number of non-zero cells.
Thus, a 100 x 100 x 100 matrix with minLoadFactor=0.25 and maxLoadFactor=0.5 and 1000000 non-zero cells consumes between 25 MB and 50 MB.
The same 100 x 100 x 100 matrix with 1000 non-zero cells consumes between 25 and 50 KB.
Time complexity:
This class offers expected time complexity O(1) (i.e. constant time) for the basic operations
get, getQuick, set, setQuick and size
assuming the hash function disperses the elements properly among the buckets.
Otherwise, pathological cases, although highly improbable, can occur, degrading performance to O(N) in the worst case.
As such this sparse class is expected to have no worse time complexity than its dense counterpart DenseDoubleMatrix2D.
However, constant factors are considerably larger.
Cells are internally addressed in (in decreasing order of significance): slice major, row major, column major. Applications demanding utmost speed can exploit this fact. 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);
}
}
}
cern.colt.map,
OpenIntDoubleHashMap,
Serialized Form| Modifier and Type | Field and Description |
|---|---|
protected AbstractIntDoubleMap |
elements |
columns, columnStride, columnZero, rows, rowStride, rowZero, slices, sliceStride, sliceZeroisNoViewserialVersionUID| Modifier | Constructor and Description |
|---|---|
|
SparseDoubleMatrix3D(double[][][] values)
Constructs a matrix with a copy of the given values.
|
|
SparseDoubleMatrix3D(int slices,
int rows,
int columns)
Constructs a matrix with a given number of slices, rows and columns and default memory usage.
|
protected |
SparseDoubleMatrix3D(int slices,
int rows,
int columns,
AbstractIntDoubleMap elements,
int sliceZero,
int rowZero,
int columnZero,
int sliceStride,
int rowStride,
int columnStride)
Constructs a view with the given parameters.
|
|
SparseDoubleMatrix3D(int slices,
int rows,
int columns,
int initialCapacity,
double minLoadFactor,
double maxLoadFactor)
Constructs a matrix with a given number of slices, rows and columns using memory as specified.
|
| Modifier and Type | Method and Description |
|---|---|
DoubleMatrix3D |
assign(double value)
Sets all cells to the state specified by value.
|
int |
cardinality()
Returns the number of cells having non-zero values.
|
void |
ensureCapacity(int minCapacity)
Ensures that the receiver can hold at least the specified number of non-zero cells without needing to allocate new internal memory.
|
double |
getQuick(int slice,
int row,
int column)
Returns the matrix cell value at coordinate [slice,row,column].
|
protected boolean |
haveSharedCellsRaw(DoubleMatrix3D other)
Returns true if both matrices share at least one identical cell.
|
protected int |
index(int slice,
int row,
int column)
Returns the position of the given coordinate within the (virtual or non-virtual) internal 1-dimensional array.
|
DoubleMatrix3D |
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.
|
protected DoubleMatrix2D |
like2D(int rows,
int columns,
int rowZero,
int columnZero,
int rowStride,
int columnStride)
Construct and returns a new 2-d matrix of the corresponding dynamic type, sharing the same cells.
|
void |
setQuick(int slice,
int row,
int column,
double value)
Sets the matrix cell at coordinate [slice,row,column] to the specified value.
|
void |
trimToSize()
Releases any superfluous memory created by explicitly putting zero values into cells formerly having non-zero values;
An application can use this operation to minimize the
storage of the receiver.
|
protected DoubleMatrix3D |
viewSelectionLike(int[] sliceOffsets,
int[] rowOffsets,
int[] columnOffsets)
Construct and returns a new selection view.
|
aggregate, aggregate, assign, assign, assign, assign, copy, equals, equals, get, getContent, getNonZeros, haveSharedCells, like, set, toArray, toString, view, viewColumn, viewColumnFlip, viewDice, viewPart, viewRow, viewRowFlip, viewSelection, viewSelection, viewSlice, viewSliceFlip, viewSorted, viewStrides, zAssign27Neighbors, zSum_columnOffset, _columnRank, _rowOffset, _rowRank, _sliceOffset, _sliceRank, checkBox, checkColumn, checkColumnIndexes, checkRow, checkRowIndexes, checkShape, checkShape, checkSlice, checkSliceIndexes, columns, rows, setUp, setUp, shape, size, slices, toStringShort, vColumnFlip, vDice, vPart, vRowFlip, vSliceFlip, vStridesisViewcloneprotected AbstractIntDoubleMap elements
public SparseDoubleMatrix3D(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 SparseDoubleMatrix3D(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 SparseDoubleMatrix3D(int slices,
int rows,
int columns,
int initialCapacity,
double minLoadFactor,
double maxLoadFactor)
OpenIntDoubleHashMap.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.initialCapacity - the initial capacity of the hash map.
If not known, set initialCapacity=0 or small.minLoadFactor - the minimum load factor of the hash map.maxLoadFactor - the maximum load factor of the hash map.IllegalArgumentException - if initialCapacity < 0 || (minLoadFactor < 0.0 || minLoadFactor >= 1.0) || (maxLoadFactor <= 0.0 || maxLoadFactor >= 1.0) || (minLoadFactor >= maxLoadFactor).IllegalArgumentException - if (double)columns*rows > Integer.MAX_VALUE.IllegalArgumentException - if slices<0 || rows<0 || columns<0.protected SparseDoubleMatrix3D(int slices,
int rows,
int columns,
AbstractIntDoubleMap elements,
int sliceZero,
int rowZero,
int columnZero,
int sliceStride,
int rowStride,
int columnStride)
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).columnnStride - the number of elements between two columns, i.e. index(k,i,j+1)-index(k,i,j).IllegalArgumentException - if (double)slices*columns*rows > Integer.MAX_VALUE.IllegalArgumentException - if slices<0 || rows<0 || columns<0.public DoubleMatrix3D assign(double value)
assign in class DoubleMatrix3Dvalue - the value to be filled into the cells.public int cardinality()
cardinality in class DoubleMatrix3Dpublic void ensureCapacity(int minCapacity)
This method never need be called; it is for performance tuning only. Calling this method before tt>set()ing a large number of non-zero values boosts performance, because the receiver will grow only once instead of potentially many times and hash collisions get less probable.
ensureCapacity in class AbstractMatrixminNonZeros - the desired minimum number of non-zero cells.public double getQuick(int slice,
int row,
int 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): slice<0 || slice>=slices() || row<0 || row>=rows() || column<0 || column>=column().
getQuick in class DoubleMatrix3Dslice - the index of the slice-coordinate.row - the index of the row-coordinate.column - the index of the column-coordinate.protected boolean haveSharedCellsRaw(DoubleMatrix3D other)
haveSharedCellsRaw in class DoubleMatrix3Dprotected int index(int slice,
int row,
int column)
index in class AbstractMatrix3Dslice - the index of the slice-coordinate.row - the index of the row-coordinate.column - the index of the third-coordinate.public DoubleMatrix3D like(int slices, int rows, int columns)
like in class DoubleMatrix3Dslices - 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.protected DoubleMatrix2D like2D(int rows, int columns, int rowZero, int columnZero, int rowStride, int columnStride)
like2D in class DoubleMatrix3Drows - the number of rows the matrix shall have.columns - the number of columns the matrix shall have.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).public void setQuick(int slice,
int row,
int column,
double 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): slice<0 || slice>=slices() || row<0 || row>=rows() || column<0 || column>=column().
setQuick in class DoubleMatrix3Dslice - 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 void trimToSize()
Background:
Cells that
trimToSize in class AbstractMatrixprotected DoubleMatrix3D viewSelectionLike(int[] sliceOffsets, int[] rowOffsets, int[] columnOffsets)
viewSelectionLike in class DoubleMatrix3DsliceOffsets - the offsets of the visible elements.rowOffsets - the offsets of the visible elements.columnOffsets - the offsets of the visible elements.Copyright © 2006–2019 SYSTAP, LLC DBA Blazegraph. All rights reserved.