public class DenseObjectMatrix3D extends ObjectMatrix3D
Implementation:
Internally holds one single contigous one-dimensional array, addressed in (in decreasing order of significance): slice major, row major, column major. Note that this implementation is not synchronized.
Memory requirements:
memory [bytes] = 8*slices()*rows()*columns(). Thus, a 100*100*100 matrix uses 8 MB.
Time complexity:
O(1) (i.e. constant time) for the basic operations get, getQuick, set, setQuick and size,
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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DenseObjectMatrix3D(int slices,
int rows,
int columns)
Constructs a matrix with a given number of slices, rows and columns.
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DenseObjectMatrix3D(Object[][][] values)
Constructs a matrix with a copy of the given values.
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Modifier and Type | Method and Description |
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Object |
aggregate(ObjectMatrix3D other,
ObjectObjectFunction aggr,
ObjectObjectFunction f)
Applies a function to each corresponding cell of two matrices and
aggregates the results.
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Object |
aggregate(ObjectObjectFunction aggr,
ObjectFunction f)
Applies a function to each cell and aggregates the results.
|
Object |
aggregate(ObjectObjectFunction aggr,
ObjectFunction f,
IntArrayList sliceList,
IntArrayList rowList,
IntArrayList columnList)
Applies a function to all cells with a given indexes and aggregates the
results.
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Object |
aggregate(ObjectObjectFunction aggr,
ObjectFunction f,
ObjectProcedure cond)
Applies a function to each cell that satisfies a condition and aggregates
the results.
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ObjectMatrix3D |
assign(Object value)
Sets all cells to the state specified by value.
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ObjectMatrix3D |
assign(Object[] values)
Sets all cells to the state specified by values.
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ObjectMatrix3D |
assign(Object[][][] values)
Sets all cells to the state specified by values.
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ObjectMatrix3D |
assign(ObjectFunction function)
Assigns the result of a function to each cell;
x[slice,row,col] = function(x[slice,row,col]).
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ObjectMatrix3D |
assign(ObjectMatrix3D source)
Replaces all cell values of the receiver with the values of another
matrix.
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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]).
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ObjectMatrix3D |
assign(ObjectMatrix3D y,
ObjectObjectFunction function,
IntArrayList sliceList,
IntArrayList rowList,
IntArrayList columnList)
Assigns the result of a function to all cells with a given indexes
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ObjectMatrix3D |
assign(ObjectProcedure cond,
Object value)
Assigns a value to all cells that satisfy a condition.
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ObjectMatrix3D |
assign(ObjectProcedure cond,
ObjectFunction f)
Assigns the result of a function to all cells that satisfy a condition.
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Object[] |
elements()
Returns the elements of this matrix.
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Object |
getQuick(int slice,
int row,
int column)
Returns the matrix cell value at coordinate [slice,row,column].
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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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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.
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ObjectMatrix2D |
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,
Object value)
Sets the matrix cell at coordinate [slice,row,column] to the
specified value.
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ObjectMatrix1D |
vectorize()
Returns a vector obtained by stacking the columns of the matrix on top of
one another.
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cardinality, copy, equals, equals, get, getNonZeros, like, set, toArray, toString, viewColumn, viewColumnFlip, viewDice, viewPart, viewRow, viewRowFlip, viewSelection, viewSelection, viewSlice, viewSliceFlip, viewSorted, viewStrides
checkShape, checkShape, columns, columnStride, rows, rowStride, size, slices, sliceStride, toStringShort
ensureCapacity, isView, trimToSize
clone
public DenseObjectMatrix3D(Object[][][] 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 DenseObjectMatrix3D(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 (Object)slices*columns*rows > Integer.MAX_VALUE.IllegalArgumentException
- if slices<0 || rows<0 || columns<0.public Object aggregate(ObjectObjectFunction aggr, ObjectFunction f)
ObjectMatrix3D
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); --> 140For further examples, see the package doc.
aggregate
in class ObjectMatrix3D
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 Object aggregate(ObjectObjectFunction aggr, ObjectFunction f, ObjectProcedure cond)
ObjectMatrix3D
aggregate
in class ObjectMatrix3D
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.public Object aggregate(ObjectObjectFunction aggr, ObjectFunction f, IntArrayList sliceList, IntArrayList rowList, IntArrayList columnList)
ObjectMatrix3D
aggregate
in class ObjectMatrix3D
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.sliceList
- slice indexes.rowList
- row indexes.columnList
- column indexes.public Object aggregate(ObjectMatrix3D other, ObjectObjectFunction aggr, ObjectObjectFunction f)
ObjectMatrix3D
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])ˆ2 ) x.aggregate(y, F.plus, F.chain(F.square,F.plus)); --> 560For further examples, see the package doc.
aggregate
in class ObjectMatrix3D
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 ObjectMatrix3D assign(Object[][][] values)
The values are copied. So subsequent changes in values are not reflected in the matrix, and vice-versa.
assign
in class ObjectMatrix3D
values
- the values to be filled into the cells.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()
.public ObjectMatrix3D assign(Object[] values)
ObjectMatrix3D
The values are copied. So subsequent changes in values are not reflected in the matrix, and vice-versa.
assign
in class ObjectMatrix3D
values
- the values to be filled into the cells.public ObjectMatrix3D assign(Object value)
ObjectMatrix3D
assign
in class ObjectMatrix3D
value
- the value to be filled into the cells.public ObjectMatrix3D assign(ObjectProcedure cond, ObjectFunction f)
ObjectMatrix3D
assign
in class ObjectMatrix3D
cond
- a condition.f
- a function object.public ObjectMatrix3D assign(ObjectProcedure cond, Object value)
ObjectMatrix3D
assign
in class ObjectMatrix3D
cond
- a condition.value
- a value.public ObjectMatrix3D assign(ObjectMatrix3D source)
assign
in class ObjectMatrix3D
source
- the source matrix to copy from (may be identical to the
receiver).IllegalArgumentException
- if
slices() != source.slices() || rows() != source.rows() || columns() != source.columns()public ObjectMatrix3D assign(ObjectFunction function)
ObjectMatrix3D
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 -0.350783For further examples, see the package doc.
assign
in class ObjectMatrix3D
function
- a function object taking as argument the current cell's value.DoubleFunctions
public ObjectMatrix3D assign(ObjectMatrix3D y, ObjectObjectFunction function)
ObjectMatrix3D
Example:
// assign x[row,col] = x[row,col]<sup>y[row,col]</sup> 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 729For further examples, see the package doc.
assign
in class ObjectMatrix3D
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,DoubleFunctions
public ObjectMatrix3D assign(ObjectMatrix3D y, ObjectObjectFunction function, IntArrayList sliceList, IntArrayList rowList, IntArrayList columnList)
ObjectMatrix3D
assign
in class ObjectMatrix3D
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, *sliceList
- slice indexes.rowList
- row indexes.columnList
- column indexes.public Object[] elements()
ObjectMatrix3D
elements
in class ObjectMatrix3D
public Object 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 ObjectMatrix3D
slice
- the index of the slice-coordinate.row
- the index of the row-coordinate.column
- the index of the column-coordinate.public long index(int slice, int row, int column)
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.public ObjectMatrix3D like(int slices, int rows, int columns)
like
in class ObjectMatrix3D
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 void setQuick(int slice, int row, int column, Object 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 ObjectMatrix3D
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 ObjectMatrix1D vectorize()
ObjectMatrix3D
vectorize
in class ObjectMatrix3D
public ObjectMatrix2D like2D(int rows, int columns)
ObjectMatrix3D
like2D
in class ObjectMatrix3D
rows
- the number of rows the matrix shall have.columns
- the number of columns the matrix shall have.Jump to the Parallel Colt Homepage