cern.colt.matrix

Class ObjectMatrix3D

• All Implemented Interfaces:
Serializable, Cloneable
Direct Known Subclasses:
DenseObjectMatrix3D, SparseObjectMatrix3D

public abstract class ObjectMatrix3D
extends AbstractMatrix3D
Abstract base class for 3-d matrices holding Object elements. First see the package summary and javadoc tree view to get the broad picture.

A matrix has a number of slices, rows and columns, which are assigned upon instance construction - The matrix's size is then slices()*rows()*columns(). Elements are accessed via [slice,row,column] coordinates. Legal coordinates range from [0,0,0] to [slices()-1,rows()-1,columns()-1]. Any attempt to access an element at a coordinate slice<0 || slice>=slices() || row<0 || row>=rows() || column<0 || column>=column() will throw an IndexOutOfBoundsException.

Note that this implementation is not synchronized.

Version:
1.0, 09/24/99
Author:
wolfgang.hoschek@cern.ch
Serialized Form
• Constructor Detail

• ObjectMatrix3D

protected ObjectMatrix3D()
Makes this class non instantiable, but still let's others inherit from it.
• Method Detail

• aggregate

public Object aggregate(ObjectObjectFunction aggr,
ObjectFunction f)
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(slice,row,column)) ) and terminators are a(1) == f(get(0,0,0)), a(0)==null.

Example:

cern.jet.math.Functions F = cern.jet.math.Functions.functions;
2 x 2 x 2 matrix
0 1
2 3

4 5
6 7

// Sum( x[slice,row,col]*x[slice,row,col] )
matrix.aggregate(F.plus,F.square);
--> 140

For further examples, see the package doc.
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.
Functions
• aggregate

public Object aggregate(ObjectMatrix3D other,
ObjectObjectFunction aggr,
ObjectObjectFunction f)
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(slice,row,column),other.get(slice,row,column)) ) and terminators are a(1) == f(get(0,0,0),other.get(0,0,0)), a(0)==null.

Example:

cern.jet.math.Functions F = cern.jet.math.Functions.functions;
x = 2 x 2 x 2 matrix
0 1
2 3

4 5
6 7

y = 2 x 2 x 2 matrix
0 1
2 3

4 5
6 7

// Sum( x[slice,row,col] * y[slice,row,col] )
x.aggregate(y, F.plus, F.mult);
--> 140

// Sum( (x[slice,row,col] + y[slice,row,col])^2 )
x.aggregate(y, F.plus, F.chain(F.square,F.plus));
--> 560

For further examples, see the package doc.
Parameters:
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.
Throws:
IllegalArgumentException - if slices() != other.slices() || rows() != other.rows() || columns() != other.columns()
Functions
• assign

public ObjectMatrix3D assign(Object[][][] values)
Sets all cells to the state specified by values. values is required to have the form values[slice][row][column] and have exactly the same number of slices, rows and columns as the receiver.

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 cells.
Returns:
this (for convenience only).
Throws:
IllegalArgumentException - if values.length != slices() || for any 0 <= slice < slices(): values[slice].length != rows().
IllegalArgumentException - if for any 0 <= column < columns(): values[slice][row].length != columns().
• assign

public ObjectMatrix3D assign(ObjectFunction function)
Assigns the result of a function to each cell; x[slice,row,col] = function(x[slice,row,col]).

Example:

matrix = 1 x 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);
-->
1 x 2 x 2 matrix
0.479426  0.997495
0.598472 -0.350783

For further examples, see the package doc.
Parameters:
function - a function object taking as argument the current cell's value.
Returns:
this (for convenience only).
Functions
• assign

public ObjectMatrix3D assign(ObjectMatrix3D other)
Replaces all cell values of the receiver with the values of another matrix. Both matrices must have the same number of slices, 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.
Parameters:
other - the source matrix to copy from (may be identical to the receiver).
Returns:
this (for convenience only).
Throws:
IllegalArgumentException - if slices() != other.slices() || rows() != other.rows() || columns() != other.columns()
• assign

public ObjectMatrix3D assign(ObjectMatrix3D y,
ObjectObjectFunction function)
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]y[row,col]
m1 = 1 x 2 x 2 matrix
0 1
2 3

m2 = 1 x 2 x 2 matrix
0 2
4 6

m1.assign(m2, cern.jet.math.Functions.pow);
-->
m1 == 1 x 2 x 2 matrix
1   1
16 729

For further examples, see the package doc.
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).
Throws:
IllegalArgumentException - if slices() != other.slices() || rows() != other.rows() || columns() != other.columns()
Functions
• assign

public ObjectMatrix3D assign(Object value)
Sets all cells to the state specified by value.
Parameters:
value - the value to be filled into the cells.
Returns:
this (for convenience only).
• cardinality

public int cardinality()
Returns the number of cells having non-zero values; ignores tolerance.
• copy

public ObjectMatrix3D copy()
Constructs and returns a deep copy of the receiver.

Note that the returned matrix is an independent deep copy. The returned matrix is not backed by this matrix, so changes in the returned matrix are not reflected in this matrix, and vice-versa.

Returns:
a deep copy of the receiver.
• equals

public boolean equals(Object otherObj)
Compares the specified Object with the receiver for equality. Equivalent to equals(otherObj,true).
Overrides:
equals in class Object
Parameters:
otherObj - the Object to be compared for equality with the receiver.
Returns:
true if the specified Object is equal to the receiver.
• equals

public boolean equals(Object otherObj,
boolean testForEquality)
Compares the specified Object with the receiver for equality. Returns true if and only if the specified Object is also at least an ObjectMatrix3D, both matrices have the same size, and all corresponding pairs of cells in the two matrices are the same. In other words, two matrices are defined to be equal if they contain the same cell values in the same order. Tests elements for equality or identity as specified by testForEquality. When testing for equality, two elements e1 and e2 are equal if (e1==null ? e2==null : e1.equals(e2)).)
Parameters:
otherObj - the Object to be compared for equality with the receiver.
testForEquality - if true -> tests for equality, otherwise for identity.
Returns:
true if the specified Object is equal to the receiver.
• get

public Object get(int slice,
int row,
int column)
Returns the matrix cell value at coordinate [slice,row,column].
Parameters:
slice - the index of the slice-coordinate.
row - the index of the row-coordinate.
column - the index of the column-coordinate.
Returns:
the value of the specified cell.
Throws:
IndexOutOfBoundsException - if slice<0 || slice>=slices() || row<0 || row>=rows() || column<0 || column>=column().
• getContent

protected ObjectMatrix3D getContent()
Returns the content of this matrix if it is a wrapper; or this otherwise. Override this method in wrappers.
• getNonZeros

public void getNonZeros(IntArrayList sliceList,
IntArrayList rowList,
IntArrayList columnList,
ObjectArrayList valueList)
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 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). For an example, see ObjectMatrix2D.getNonZeros(IntArrayList,IntArrayList,ObjectArrayList).

Parameters:
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.
• getQuick

public abstract Object getQuick(int slice,
int row,
int column)
Returns the matrix cell value at coordinate [slice,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): slice<0 || slice>=slices() || row<0 || row>=rows() || column<0 || column>=column().

Parameters:
slice - the index of the slice-coordinate.
row - the index of the row-coordinate.
column - the index of the column-coordinate.
Returns:
the value at the specified coordinate.
• haveSharedCells

protected boolean haveSharedCells(ObjectMatrix3D other)
Returns true if both matrices share at least one identical cell.
• haveSharedCellsRaw

protected boolean haveSharedCellsRaw(ObjectMatrix3D other)
Returns true if both matrices share at least one identical cell.
• like

public ObjectMatrix3D like()
Construct and returns a new empty matrix of the same dynamic type as the receiver, having the same number of slices, rows and columns. For example, if the receiver is an instance of type DenseObjectMatrix3D the new matrix must also be of type DenseObjectMatrix3D, if the receiver is an instance of type SparseObjectMatrix3D the new matrix must also be of type SparseObjectMatrix3D, etc. In general, the new matrix should have internal parametrization as similar as possible.
Returns:
a new empty matrix of the same dynamic type.
• like

public abstract ObjectMatrix3D 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. For example, if the receiver is an instance of type DenseObjectMatrix3D the new matrix must also be of type DenseObjectMatrix3D, if the receiver is an instance of type SparseObjectMatrix3D the new matrix must also be of type SparseObjectMatrix3D, etc. In general, the new matrix should have internal parametrization as similar as possible.
Parameters:
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.
Returns:
a new empty matrix of the same dynamic type.
• like2D

protected abstract ObjectMatrix2D 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. For example, if the receiver is an instance of type DenseObjectMatrix3D the new matrix must also be of type DenseObjectMatrix2D, if the receiver is an instance of type SparseObjectMatrix3D the new matrix must also be of type SparseObjectMatrix2D, etc.
Parameters:
rows - 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).
Returns:
a new matrix of the corresponding dynamic type.
• set

public void set(int slice,
int row,
int column,
Object value)
Sets the matrix cell at coordinate [slice,row,column] to the specified value.
Parameters:
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.
Throws:
IndexOutOfBoundsException - if row<0 || row>=rows() || slice<0 || slice>=slices() || column<0 || column>=column().
• setQuick

public abstract void setQuick(int slice,
int row,
int column,
Object value)
Sets the matrix cell at coordinate [slice,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): slice<0 || slice>=slices() || row<0 || row>=rows() || column<0 || column>=column().

Parameters:
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.
• toArray

public Object[][][] toArray()
Constructs and returns a 2-dimensional array containing the cell values. The returned array values has the form values[slice][row][column] and has the same number of slices, rows and columns as the receiver.

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

Returns:
an array filled with the values of the cells.
• toString

public String toString()
Returns a string representation using default formatting.
Overrides:
toString in class Object
Formatter
• view

protected ObjectMatrix3D view()
Constructs and returns a new view equal to the receiver. The view is a shallow clone. Calls clone() and casts the result.

Note that the view is not a deep copy. The returned matrix is backed by this matrix, so changes in the returned matrix are reflected in this matrix, and vice-versa.

Use copy() if you want to construct an independent deep copy rather than a new view.

Returns:
a new view of the receiver.
• viewColumn

public ObjectMatrix2D viewColumn(int column)
Constructs and returns a new 2-dimensional slice view representing the slices and rows of the given column. The returned view is backed by this matrix, so changes in the returned view are reflected in this matrix, and vice-versa.

To obtain a slice view on subranges, construct a sub-ranging view (view().part(...)), then apply this method to the sub-range view. To obtain 1-dimensional views, apply this method, then apply another slice view (methods viewColumn, viewRow) on the intermediate 2-dimensional view. To obtain 1-dimensional views on subranges, apply both steps.

Parameters:
column - the index of the column to fix.
Returns:
a new 2-dimensional slice view.
Throws:
IndexOutOfBoundsException - if column < 0 || column >= columns().
viewSlice(int), viewRow(int)
• viewColumnFlip

public ObjectMatrix3D viewColumnFlip()
Constructs and returns a new flip view along the column axis. What used to be column 0 is now column columns()-1, ..., what used to be column columns()-1 is now column 0. The returned view is backed by this matrix, so changes in the returned view are reflected in this matrix, and vice-versa.
Returns:
a new flip view.
viewSliceFlip(), viewRowFlip()
• viewDice

public ObjectMatrix3D viewDice(int axis0,
int axis1,
int axis2)
Constructs and returns a new dice view; Swaps dimensions (axes); Example: 3 x 4 x 5 matrix --> 4 x 3 x 5 matrix. The view has dimensions exchanged; what used to be one axis is now another, in all desired permutations. The returned view is backed by this matrix, so changes in the returned view are reflected in this matrix, and vice-versa.
Parameters:
axis0 - the axis that shall become axis 0 (legal values 0..2).
axis1 - the axis that shall become axis 1 (legal values 0..2).
axis2 - the axis that shall become axis 2 (legal values 0..2).
Returns:
a new dice view.
Throws:
IllegalArgumentException - if some of the parameters are equal or not in range 0..2.
• viewPart

public ObjectMatrix3D viewPart(int slice,
int row,
int column,
int depth,
int height,
int width)
Constructs and returns a new sub-range view that is a depth x height x width sub matrix starting at [slice,row,column]; Equivalent to view().part(slice,row,column,depth,height,width); Provided for convenience only. The returned view is backed by this matrix, so changes in the returned view are reflected in this matrix, and vice-versa.
Parameters:
slice - The index of the slice-coordinate.
row - The index of the row-coordinate.
column - The index of the column-coordinate.
depth - The depth of the box.
height - The height of the box.
width - The width of the box.
Returns:
the new view.
Throws:
IndexOutOfBoundsException - if slice<0 || depth<0 || slice+depth>slices() || row<0 || height<0 || row+height>rows() || column<0 || width<0 || column+width>columns()
• viewRow

public ObjectMatrix2D viewRow(int row)
Constructs and returns a new 2-dimensional slice view representing the slices and columns of the given row. The returned view is backed by this matrix, so changes in the returned view are reflected in this matrix, and vice-versa.

To obtain a slice view on subranges, construct a sub-ranging view (view().part(...)), then apply this method to the sub-range view. To obtain 1-dimensional views, apply this method, then apply another slice view (methods viewColumn, viewRow) on the intermediate 2-dimensional view. To obtain 1-dimensional views on subranges, apply both steps.

Parameters:
row - the index of the row to fix.
Returns:
a new 2-dimensional slice view.
Throws:
IndexOutOfBoundsException - if row < 0 || row >= row().
viewSlice(int), viewColumn(int)
• viewRowFlip

public ObjectMatrix3D viewRowFlip()
Constructs and returns a new flip view along the row axis. What used to be row 0 is now row rows()-1, ..., what used to be row rows()-1 is now row 0. The returned view is backed by this matrix, so changes in the returned view are reflected in this matrix, and vice-versa.
Returns:
a new flip view.
viewSliceFlip(), viewColumnFlip()
• viewSelection

public ObjectMatrix3D viewSelection(int[] sliceIndexes,
int[] rowIndexes,
int[] columnIndexes)
Constructs and returns a new selection view that is a matrix holding the indicated cells. There holds view.slices() == sliceIndexes.length, view.rows() == rowIndexes.length, view.columns() == columnIndexes.length and view.get(k,i,j) == this.get(sliceIndexes[k],rowIndexes[i],columnIndexes[j]). Indexes can occur multiple times and can be in arbitrary order. For an example see ObjectMatrix2D.viewSelection(int[],int[]).

Note that modifying the index arguments after this call has returned has no effect on the view. The returned view is backed by this matrix, so changes in the returned view are reflected in this matrix, and vice-versa.

Parameters:
sliceIndexes - The slices of the cells that shall be visible in the new view. To indicate that all slices shall be visible, simply set this parameter to null.
rowIndexes - The rows of the cells that shall be visible in the new view. To indicate that all rows shall be visible, simply set this parameter to null.
columnIndexes - The columns of the cells that shall be visible in the new view. To indicate that all columns shall be visible, simply set this parameter to null.
Returns:
the new view.
Throws:
IndexOutOfBoundsException - if !(0 <= sliceIndexes[i] < slices()) for any i=0..sliceIndexes.length()-1.
IndexOutOfBoundsException - if !(0 <= rowIndexes[i] < rows()) for any i=0..rowIndexes.length()-1.
IndexOutOfBoundsException - if !(0 <= columnIndexes[i] < columns()) for any i=0..columnIndexes.length()-1.
• viewSelection

public ObjectMatrix3D viewSelection(ObjectMatrix2DProcedure condition)
Constructs and returns a new selection view that is a matrix holding all slices matching the given condition. Applies the condition to each slice and takes only those where condition.apply(viewSlice(i)) yields true. To match rows or columns, use a dice view.

Example:

// extract and view all slices which have an aggregate sum > 1000
matrix.viewSelection(
new ObjectMatrix2DProcedure() {
public final boolean apply(ObjectMatrix2D m) { return m.zSum > 1000; }
}
);

For further examples, see the package doc. The returned view is backed by this matrix, so changes in the returned view are reflected in this matrix, and vice-versa.
Parameters:
condition - The condition to be matched.
Returns:
the new view.
• viewSelectionLike

protected abstract ObjectMatrix3D viewSelectionLike(int[] sliceOffsets,
int[] rowOffsets,
int[] columnOffsets)
Construct and returns a new selection view.
Parameters:
sliceOffsets - the offsets of the visible elements.
rowOffsets - the offsets of the visible elements.
columnOffsets - the offsets of the visible elements.
Returns:
a new view.
• viewSlice

public ObjectMatrix2D viewSlice(int slice)
Constructs and returns a new 2-dimensional slice view representing the rows and columns of the given slice. The returned view is backed by this matrix, so changes in the returned view are reflected in this matrix, and vice-versa.

To obtain a slice view on subranges, construct a sub-ranging view (view().part(...)), then apply this method to the sub-range view. To obtain 1-dimensional views, apply this method, then apply another slice view (methods viewColumn, viewRow) on the intermediate 2-dimensional view. To obtain 1-dimensional views on subranges, apply both steps.

Parameters:
slice - the index of the slice to fix.
Returns:
a new 2-dimensional slice view.
Throws:
IndexOutOfBoundsException - if slice < 0 || slice >= slices().
viewRow(int), viewColumn(int)
• viewSliceFlip

public ObjectMatrix3D viewSliceFlip()
Constructs and returns a new flip view along the slice axis. What used to be slice 0 is now slice slices()-1, ..., what used to be slice slices()-1 is now slice 0. The returned view is backed by this matrix, so changes in the returned view are reflected in this matrix, and vice-versa.
Returns:
a new flip view.
viewRowFlip(), viewColumnFlip()
• viewSorted

public ObjectMatrix3D viewSorted(int row,
int column)
Sorts the matrix slices into ascending order, according to the natural ordering of the matrix values in the given [row,column] position. This sort is guaranteed to be stable. For further information, see Sorting.sort(ObjectMatrix3D,int,int). For more advanced sorting functionality, see Sorting.
Returns:
a new sorted vector (matrix) view.
Throws:
IndexOutOfBoundsException - if row < 0 || row >= rows() || column < 0 || column >= columns().
• viewStrides

public ObjectMatrix3D viewStrides(int sliceStride,
int rowStride,
int columnStride)
Constructs and returns a new stride view which is a sub matrix consisting of every i-th cell. More specifically, the view has this.slices()/sliceStride slices and this.rows()/rowStride rows and this.columns()/columnStride columns holding cells this.get(k*sliceStride,i*rowStride,j*columnStride) for all k = 0..slices()/sliceStride - 1, i = 0..rows()/rowStride - 1, j = 0..columns()/columnStride - 1. The returned view is backed by this matrix, so changes in the returned view are reflected in this matrix, and vice-versa.
Parameters:
sliceStride - the slice step factor.
rowStride - the row step factor.
columnStride - the column step factor.
Returns:
a new view.
Throws:
IndexOutOfBoundsException - if sliceStride<=0 || rowStride<=0 || columnStride<=0.