Parallel Colt 0.7.2

cern.colt.matrix.tint.impl
Class DenseIntMatrix2D

java.lang.Object
  extended by cern.colt.PersistentObject
      extended by cern.colt.matrix.AbstractMatrix
          extended by cern.colt.matrix.AbstractMatrix2D
              extended by cern.colt.matrix.tint.IntMatrix2D
                  extended by cern.colt.matrix.tint.impl.DenseIntMatrix2D
All Implemented Interfaces:
Serializable, Cloneable

public class DenseIntMatrix2D
extends IntMatrix2D

Dense 2-d matrix holding int 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 row major. Note that this implementation is not synchronized.

Memory requirements:

memory [bytes] = 8*rows()*columns(). Thus, a 1000*1000 matrix uses 8 MB.

Time complexity:

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

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

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

Version:
1.0, 09/24/99
Author:
wolfgang.hoschek@cern.ch, Piotr Wendykier (piotr.wendykier@gmail.com)
See Also:
Serialized Form

Constructor Summary
DenseIntMatrix2D(int[][] values)
          Constructs a matrix with a copy of the given values.
DenseIntMatrix2D(int rows, int columns)
          Constructs a matrix with a given number of rows and columns.
DenseIntMatrix2D(int rows, int columns, int[] elements, int rowZero, int columnZero, int rowStride, int columnStride, boolean isView)
          Constructs a view with the given parameters.
 
Method Summary
 int aggregate(IntIntFunction aggr, IntFunction f)
          Applies a function to each cell and aggregates the results.
 int aggregate(IntIntFunction aggr, IntFunction f, IntArrayList rowList, IntArrayList columnList)
          Applies a function to all cells with a given indexes and aggregates the results.
 int aggregate(IntIntFunction aggr, IntFunction f, IntProcedure cond)
          Applies a function to each cell that satisfies a condition and aggregates the results.
 int aggregate(IntMatrix2D other, IntIntFunction aggr, IntIntFunction f)
          Applies a function to each corresponding cell of two matrices and aggregates the results.
 IntMatrix2D assign(int value)
          Sets all cells to the state specified by value.
 IntMatrix2D assign(int[] values)
          Sets all cells to the state specified by values.
 IntMatrix2D assign(int[][] values)
          Sets all cells to the state specified by values.
 IntMatrix2D assign(IntFunction function)
          Assigns the result of a function to each cell; x[row,col] = function(x[row,col]).
 IntMatrix2D assign(IntMatrix2D source)
          Replaces all cell values of the receiver with the values of another matrix.
 IntMatrix2D assign(IntMatrix2D y, IntIntFunction function)
          Assigns the result of a function to each cell; x[row,col] = function(x[row,col],y[row,col]).
 IntMatrix2D assign(IntMatrix2D y, IntIntFunction function, IntArrayList rowList, IntArrayList columnList)
          Assigns the result of a function to all cells with a given indexes
 IntMatrix2D assign(IntProcedure cond, int value)
          Assigns a value to all cells that satisfy a condition.
 IntMatrix2D assign(IntProcedure cond, IntFunction function)
          Assigns the result of a function to all cells that satisfy a condition.
 int cardinality()
          Returns the number of cells having non-zero values; ignores tolerance.
 int[] elements()
          Returns the elements of this matrix.
 IntMatrix2D forEachNonZero(IntIntIntFunction function)
          Assigns the result of a function to each non-zero cell; x[row,col] = function(x[row,col]).
 int[] getMaxLocation()
          Return the maximum value of this matrix together with its location
 int[] getMinLocation()
          Return the minimum value of this matrix together with its location
 void getNegativeValues(IntArrayList rowList, IntArrayList columnList, IntArrayList valueList)
          Fills the coordinates and values of cells having negative values into the specified lists.
 void getNonZeros(IntArrayList rowList, IntArrayList columnList, IntArrayList valueList)
          Fills the coordinates and values of cells having non-zero values into the specified lists.
 void getPositiveValues(IntArrayList rowList, IntArrayList columnList, IntArrayList valueList)
          Fills the coordinates and values of cells having positive values into the specified lists.
 int getQuick(int row, int column)
          Returns the matrix cell value at coordinate [row,column].
 long index(int row, int column)
          Returns the position of the given coordinate within the (virtual or non-virtual) internal 1-dimensional array.
 IntMatrix2D 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.
 IntMatrix1D 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, int value)
          Sets the matrix cell at coordinate [row,column] to the specified value.
 int[][] toArray()
          Constructs and returns a 2-dimensional array containing the cell values.
 IntMatrix1D vectorize()
          Returns a vector obtained by stacking the columns of the matrix on top of one another.
 IntMatrix1D zMult(IntMatrix1D y, IntMatrix1D z)
          Linear algebraic matrix-vector multiplication; z = A * y; Equivalent to return A.zMult(y,z,1,0);
 IntMatrix1D zMult(IntMatrix1D y, IntMatrix1D z, int alpha, int beta, boolean transposeA)
          Linear algebraic matrix-vector multiplication; z = alpha * A * y + beta*z.
 IntMatrix2D zMult(IntMatrix2D B, IntMatrix2D C)
          Linear algebraic matrix-matrix multiplication; C = A x B; Equivalent to A.zMult(B,C,1,0,false,false).
 IntMatrix2D zMult(IntMatrix2D B, IntMatrix2D C, int alpha, int beta, boolean transposeA, boolean transposeB)
          Linear algebraic matrix-matrix multiplication; C = alpha * A x B + beta*C.
 IntMatrix1D zMultOld(IntMatrix1D y, IntMatrix1D z)
           
 int zSum()
          Returns the sum of all cells; Sum( x[i,j] ).
 
Methods inherited from class cern.colt.matrix.tint.IntMatrix2D
copy, equals, equals, get, like, set, toString, viewColumn, viewColumnFlip, viewDice, viewPart, viewRow, viewRowFlip, viewSelection, viewSelection, viewSelection, viewSorted, viewStrides
 
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

DenseIntMatrix2D

public DenseIntMatrix2D(int[][] 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:
IllegalArgumentException - if for any 1 <= row < values.length: values[row].length != values[row-1].length .

DenseIntMatrix2D

public DenseIntMatrix2D(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:
IllegalArgumentException - if rows<0 || columns<0 || (int)columns*rows > Integer.MAX_VALUE .

DenseIntMatrix2D

public DenseIntMatrix2D(int rows,
                        int columns,
                        int[] elements,
                        int rowZero,
                        int columnZero,
                        int rowStride,
                        int columnStride,
                        boolean isView)
Constructs a view 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:
IllegalArgumentException - if rows<0 || columns<0 || (int)columns*rows > Integer.MAX_VALUE or flip's are illegal.
Method Detail

aggregate

public int aggregate(IntIntFunction aggr,
                     IntFunction f)
Description copied from class: IntMatrix2D
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)==Integer.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 IntMatrix2D
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:
IntFunctions

aggregate

public int aggregate(IntIntFunction aggr,
                     IntFunction f,
                     IntProcedure cond)
Description copied from class: IntMatrix2D
Applies a function to each cell that satisfies a condition and aggregates the results.

Overrides:
aggregate in class IntMatrix2D
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:
IntFunctions

aggregate

public int aggregate(IntIntFunction aggr,
                     IntFunction f,
                     IntArrayList rowList,
                     IntArrayList columnList)
Description copied from class: IntMatrix2D
Applies a function to all cells with a given indexes and aggregates the results.

Overrides:
aggregate in class IntMatrix2D
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:
IntFunctions

aggregate

public int aggregate(IntMatrix2D other,
                     IntIntFunction aggr,
                     IntIntFunction f)
Description copied from class: IntMatrix2D
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)==Integer.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 IntMatrix2D
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:
IntFunctions

assign

public IntMatrix2D assign(IntFunction function)
Description copied from class: IntMatrix2D
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 IntMatrix2D
Parameters:
function - a function object taking as argument the current cell's value.
Returns:
this (for convenience only).
See Also:
IntFunctions

assign

public IntMatrix2D assign(IntProcedure cond,
                          IntFunction function)
Description copied from class: IntMatrix2D
Assigns the result of a function to all cells that satisfy a condition.

Overrides:
assign in class IntMatrix2D
Parameters:
cond - a condition.
function - a function object.
Returns:
this (for convenience only).
See Also:
IntFunctions

assign

public IntMatrix2D assign(IntProcedure cond,
                          int value)
Description copied from class: IntMatrix2D
Assigns a value to all cells that satisfy a condition.

Overrides:
assign in class IntMatrix2D
Parameters:
cond - a condition.
value - a value.
Returns:
this (for convenience only).

assign

public IntMatrix2D assign(int value)
Description copied from class: IntMatrix2D
Sets all cells to the state specified by value.

Overrides:
assign in class IntMatrix2D
Parameters:
value - the value to be filled into the cells.
Returns:
this (for convenience only).

assign

public IntMatrix2D assign(int[] values)
Description copied from class: IntMatrix2D
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 IntMatrix2D
Parameters:
values - the values to be filled into the cells.
Returns:
this (for convenience only).

assign

public IntMatrix2D assign(int[][] values)
Description copied from class: IntMatrix2D
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 IntMatrix2D
Parameters:
values - the values to be filled into the cells.
Returns:
this (for convenience only).

assign

public IntMatrix2D assign(IntMatrix2D source)
Description copied from class: IntMatrix2D
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 IntMatrix2D
Parameters:
source - the source matrix to copy from (may be identical to the receiver).
Returns:
this (for convenience only).

assign

public IntMatrix2D assign(IntMatrix2D y,
                          IntIntFunction function)
Description copied from class: IntMatrix2D
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 IntMatrix2D
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:
IntFunctions

assign

public IntMatrix2D assign(IntMatrix2D y,
                          IntIntFunction function,
                          IntArrayList rowList,
                          IntArrayList columnList)
Description copied from class: IntMatrix2D
Assigns the result of a function to all cells with a given indexes

Overrides:
assign in class IntMatrix2D
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:
IntFunctions

cardinality

public int cardinality()
Description copied from class: IntMatrix2D
Returns the number of cells having non-zero values; ignores tolerance.

Overrides:
cardinality in class IntMatrix2D
Returns:
cardinality

elements

public int[] elements()
Description copied from class: IntMatrix2D
Returns the elements of this matrix.

Specified by:
elements in class IntMatrix2D
Returns:
the elements

forEachNonZero

public IntMatrix2D forEachNonZero(IntIntIntFunction function)
Description copied from class: IntMatrix2D
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 IntMatrix2D
Parameters:
function - a function object taking as argument the current non-zero cell's row, column and value.
Returns:
this (for convenience only).

getNegativeValues

public void getNegativeValues(IntArrayList rowList,
                              IntArrayList columnList,
                              IntArrayList valueList)
Description copied from class: IntMatrix2D
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 IntMatrix2D
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,
                        IntArrayList valueList)
Description copied from class: IntMatrix2D
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 IntMatrix2D
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,
                              IntArrayList valueList)
Description copied from class: IntMatrix2D
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 IntMatrix2D
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 int getQuick(int row,
                    int column)
Description copied from class: IntMatrix2D
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 IntMatrix2D
Parameters:
row - the index of the row-coordinate.
column - the index of the column-coordinate.
Returns:
the value at the specified coordinate.

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 IntMatrix2D like(int rows,
                        int columns)
Description copied from class: IntMatrix2D
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 DenseIntMatrix2D the new matrix must also be of type DenseIntMatrix2D, if the receiver is an instance of type SparseIntMatrix2D the new matrix must also be of type SparseIntMatrix2D, etc. In general, the new matrix should have internal parametrization as similar as possible.

Specified by:
like in class IntMatrix2D
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 IntMatrix1D like1D(int size)
Description copied from class: IntMatrix2D
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 DenseIntMatrix2D the new matrix must be of type DenseIntMatrix1D, if the receiver is an instance of type SparseIntMatrix2D the new matrix must be of type SparseIntMatrix1D, etc.

Specified by:
like1D in class IntMatrix2D
Parameters:
size - the number of cells the matrix shall have.
Returns:
a new matrix of the corresponding dynamic type.

getMaxLocation

public int[] getMaxLocation()
Description copied from class: IntMatrix2D
Return the maximum value of this matrix together with its location

Overrides:
getMaxLocation in class IntMatrix2D
Returns:
maximum_value, row_location, column_location };

getMinLocation

public int[] getMinLocation()
Description copied from class: IntMatrix2D
Return the minimum value of this matrix together with its location

Overrides:
getMinLocation in class IntMatrix2D
Returns:
minimum_value, row_location, column_location};

setQuick

public void setQuick(int row,
                     int column,
                     int value)
Description copied from class: IntMatrix2D
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 IntMatrix2D
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 int[][] toArray()
Description copied from class: IntMatrix2D
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 IntMatrix2D
Returns:
an array filled with the values of the cells.

vectorize

public IntMatrix1D vectorize()
Description copied from class: IntMatrix2D
Returns a vector obtained by stacking the columns of the matrix on top of one another.

Specified by:
vectorize in class IntMatrix2D
Returns:
a vector of columns of this matrix.

zMult

public IntMatrix1D zMult(IntMatrix1D y,
                         IntMatrix1D z)
Description copied from class: IntMatrix2D
Linear algebraic matrix-vector multiplication; z = A * y; Equivalent to return A.zMult(y,z,1,0);

Overrides:
zMult in class IntMatrix2D

zMultOld

public IntMatrix1D zMultOld(IntMatrix1D y,
                            IntMatrix1D z)

zMult

public IntMatrix1D zMult(IntMatrix1D y,
                         IntMatrix1D z,
                         int alpha,
                         int beta,
                         boolean transposeA)
Description copied from class: IntMatrix2D
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 IntMatrix2D
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 IntMatrix2D zMult(IntMatrix2D B,
                         IntMatrix2D C)
Description copied from class: IntMatrix2D
Linear algebraic matrix-matrix multiplication; C = A x B; Equivalent to A.zMult(B,C,1,0,false,false).

Overrides:
zMult in class IntMatrix2D

zMult

public IntMatrix2D zMult(IntMatrix2D B,
                         IntMatrix2D C,
                         int alpha,
                         int beta,
                         boolean transposeA,
                         boolean transposeB)
Description copied from class: IntMatrix2D
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 IntMatrix2D
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 int zSum()
Description copied from class: IntMatrix2D
Returns the sum of all cells; Sum( x[i,j] ).

Overrides:
zSum in class IntMatrix2D
Returns:
the sum.

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