public class DenseColumnFloatMatrix2D extends FloatMatrix2D
Implementation:
Internally holds one single contigous one-dimensional array, addressed in column major. Note that this implementation is not synchronized.
Time complexity:
O(1) (i.e. constant time) for the basic operations get, getQuick, set, setQuick and size,
Cells are internally addressed in column-major. Applications demanding utmost speed can exploit this fact. Setting/getting values in a loop column-by-column is quicker than row-by-row. Thus
for (int column = 0; column < columns; column++) {
for (int row = 0; row < rows; row++) {
matrix.setQuick(row, column, someValue);
}
}
is quicker than
for (int row = 0; row < rows; row++) {
for (int column = 0; column < columns; column++) {
matrix.setQuick(row, column, someValue);
}
}
| Constructor and Description |
|---|
DenseColumnFloatMatrix2D(float[][] values)
Constructs a matrix with a copy of the given values.
|
DenseColumnFloatMatrix2D(int rows,
int columns)
Constructs a matrix with a given number of rows and columns.
|
DenseColumnFloatMatrix2D(int rows,
int columns,
float[] elements,
int rowZero,
int columnZero,
int rowStride,
int columnStride,
boolean isView)
Constructs a matrix with the given parameters.
|
DenseColumnFloatMatrix2D(MatrixVectorReader reader)
Constructs a matrix from MatrixVectorReader.
|
| Modifier and Type | Method and Description |
|---|---|
float |
aggregate(FloatFloatFunction aggr,
FloatFunction f)
Applies a function to each cell and aggregates the results.
|
float |
aggregate(FloatFloatFunction aggr,
FloatFunction f,
FloatProcedure cond)
Applies a function to each cell that satisfies a condition and aggregates
the results.
|
float |
aggregate(FloatFloatFunction aggr,
FloatFunction f,
IntArrayList rowList,
IntArrayList columnList)
Applies a function to all cells with a given indexes and aggregates the
results.
|
float |
aggregate(FloatMatrix2D other,
FloatFloatFunction aggr,
FloatFloatFunction f)
Applies a function to each corresponding cell of two matrices and
aggregates the results.
|
FloatMatrix2D |
assign(float value)
Sets all cells to the state specified by value.
|
FloatMatrix2D |
assign(float[] values)
Sets all cells to the state specified by values.
|
FloatMatrix2D |
assign(float[][] values)
Sets all cells to the state specified by values.
|
FloatMatrix2D |
assign(FloatFunction function)
Assigns the result of a function to each cell;
x[row,col] = function(x[row,col]).
|
FloatMatrix2D |
assign(FloatMatrix2D source)
Replaces all cell values of the receiver with the values of another
matrix.
|
FloatMatrix2D |
assign(FloatMatrix2D y,
FloatFloatFunction function)
Assigns the result of a function to each cell;
x[row,col] = function(x[row,col],y[row,col]).
|
FloatMatrix2D |
assign(FloatMatrix2D y,
FloatFloatFunction function,
IntArrayList rowList,
IntArrayList columnList)
Assigns the result of a function to all cells with a given indexes
|
FloatMatrix2D |
assign(FloatProcedure cond,
float value)
Assigns a value to all cells that satisfy a condition.
|
FloatMatrix2D |
assign(FloatProcedure cond,
FloatFunction 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.
|
void |
dct2(boolean scale)
Computes the 2D discrete cosine transform (DCT-II) of this matrix.
|
void |
dctColumns(boolean scale)
Computes the discrete cosine transform (DCT-II) of each column of this
matrix.
|
void |
dctRows(boolean scale)
Computes the discrete cosine transform (DCT-II) of each row of this
matrix.
|
void |
dht2()
Computes the 2D discrete Hartley transform (DHT) of this matrix.
|
void |
dhtColumns()
Computes the discrete Hartley transform (DHT) of each column of this
matrix.
|
void |
dhtRows()
Computes the discrete Hartley transform (DHT) of each row of this matrix.
|
void |
dst2(boolean scale)
Computes the 2D discrete sine transform (DST-II) of this matrix.
|
void |
dstColumns(boolean scale)
Computes the discrete sine transform (DST-II) of each column of this
matrix.
|
void |
dstRows(boolean scale)
Computes the discrete sine transform (DST-II) of each row of this matrix.
|
float[] |
elements()
Returns the elements of this matrix.
|
void |
fft2()
Computes the 2D discrete Fourier transform (DFT) of this matrix.
|
FloatMatrix2D |
forEachNonZero(IntIntFloatFunction function)
Assigns the result of a function to each non-zero cell;
x[row,col] = function(x[row,col]).
|
DenseFComplexMatrix2D |
getFft2()
Returns new complex matrix which is the 2D discrete Fourier transform
(DFT) of this matrix.
|
DenseFComplexMatrix2D |
getFftColumns()
Returns new complex matrix which is the discrete Fourier transform (DFT)
of each column of this matrix.
|
DenseFComplexMatrix2D |
getFftRows()
Returns new complex matrix which is the discrete Fourier transform (DFT)
of each row of this matrix.
|
FComplexMatrix2D |
getIfft2(boolean scale)
Returns new complex matrix which is the 2D inverse of the discrete
Fourier transform (IDFT) of this matrix.
|
FComplexMatrix2D |
getIfftColumns(boolean scale)
Returns new complex matrix which is the inverse of the discrete Fourier
transform (IDFT) of each column of this matrix.
|
FComplexMatrix2D |
getIfftRows(boolean scale)
Returns new complex matrix which is the inverse of the discrete Fourier
transform (IDFT) of each row of this matrix.
|
float[] |
getMaxLocation()
Return the maximum value of this matrix together with its location
|
float[] |
getMinLocation()
Return the minimum value of this matrix together with its location
|
void |
getNegativeValues(IntArrayList rowList,
IntArrayList columnList,
FloatArrayList valueList)
Fills the coordinates and values of cells having negative values into the
specified lists.
|
void |
getNonZeros(IntArrayList rowList,
IntArrayList columnList,
FloatArrayList valueList)
Fills the coordinates and values of cells having non-zero values into the
specified lists.
|
void |
getPositiveValues(IntArrayList rowList,
IntArrayList columnList,
FloatArrayList valueList)
Fills the coordinates and values of cells having positive values into the
specified lists.
|
float |
getQuick(int row,
int column)
Returns the matrix cell value at coordinate [row,column].
|
DenseFloatMatrix2D |
getRowMajor()
Returns a new matrix that has the same elements as this matrix, but they
are addressed internally in row major.
|
void |
idct2(boolean scale)
Computes the 2D inverse of the discrete cosine transform (DCT-III) of
this matrix.
|
void |
idctColumns(boolean scale)
Computes the inverse of the discrete cosine transform (DCT-III) of each
column of this matrix.
|
void |
idctRows(boolean scale)
Computes the inverse of the discrete cosine transform (DCT-III) of each
row of this matrix.
|
void |
idht2(boolean scale)
Computes the 2D inverse of the discrete Hartley transform (IDHT) of this
matrix.
|
void |
idhtColumns(boolean scale)
Computes the inverse of the discrete Hartley transform (IDHT) of each
column of this matrix.
|
void |
idhtRows(boolean scale)
Computes the inverse of the discrete Hartley transform (IDHT) of each row
of this matrix.
|
void |
idst2(boolean scale)
Computes the 2D inverse of the discrete sine transform (DST-III) of this
matrix.
|
void |
idstColumns(boolean scale)
Computes the inverse of the discrete sine transform (DST-III) of each
column of this matrix.
|
void |
idstRows(boolean scale)
Computes the inverse of the discrete sine transform (DST-III) of each row
of this matrix.
|
void |
ifft2(boolean scale)
Computes the 2D inverse of the discrete Fourier transform (IDFT) of this
matrix.
|
long |
index(int row,
int column)
Returns the position of the given coordinate within the (virtual or
non-virtual) internal 1-dimensional array.
|
FloatMatrix2D |
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.
|
FloatMatrix1D |
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,
float value)
Sets the matrix cell at coordinate [row,column] to the specified
value.
|
float[][] |
toArray()
Constructs and returns a 2-dimensional array containing the cell values.
|
FloatMatrix1D |
vectorize()
Returns a vector obtained by stacking the columns of the matrix on top of
one another.
|
FloatMatrix1D |
zMult(FloatMatrix1D y,
FloatMatrix1D z,
float alpha,
float beta,
boolean transposeA)
Linear algebraic matrix-vector multiplication;
z = alpha * A * y + beta*z.
|
FloatMatrix2D |
zMult(FloatMatrix2D B,
FloatMatrix2D C,
float alpha,
float beta,
boolean transposeA,
boolean transposeB)
Linear algebraic matrix-matrix multiplication;
C = alpha * A x B + beta*C.
|
float |
zSum()
Returns the sum of all cells; Sum( x[i,j] ).
|
copy, equals, equals, get, like, normalize, set, toString, viewColumn, viewColumnFlip, viewDice, viewPart, viewRow, viewRowFlip, viewSelection, viewSelection, viewSelection, viewSorted, viewStrides, zAssign8Neighbors, zMult, zMultcheckShape, checkShape, columns, columnStride, rows, rowStride, size, toStringShortensureCapacity, isView, trimToSizeclonepublic DenseColumnFloatMatrix2D(float[][] 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 <= row < values.length: values[row].length != values[row-1].length
.public DenseColumnFloatMatrix2D(int rows,
int columns)
rows - the number of rows the matrix shall have.columns - the number of columns the matrix shall have.IllegalArgumentException - if
rows<0 || columns<0 || (double)columns*rows > Integer.MAX_VALUE
.public DenseColumnFloatMatrix2D(int rows,
int columns,
float[] elements,
int rowZero,
int columnZero,
int rowStride,
int columnStride,
boolean isView)
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 constructedIllegalArgumentException - if
rows<0 || columns<0 || (double)columns*rows > Integer.MAX_VALUE
or flip's are illegal.public DenseColumnFloatMatrix2D(MatrixVectorReader reader) throws IOException
reader - matrix readerIOExceptionpublic float aggregate(FloatFloatFunction aggr, FloatFunction f)
FloatMatrix2DExample:
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.aggregate in class FloatMatrix2Daggr - 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.FloatFunctionspublic float aggregate(FloatFloatFunction aggr, FloatFunction f, FloatProcedure cond)
FloatMatrix2Daggregate in class FloatMatrix2Daggr - 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.FloatFunctionspublic float aggregate(FloatFloatFunction aggr, FloatFunction f, IntArrayList rowList, IntArrayList columnList)
FloatMatrix2Daggregate in class FloatMatrix2Daggr - 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.FloatFunctionspublic float aggregate(FloatMatrix2D other, FloatFloatFunction aggr, FloatFloatFunction f)
FloatMatrix2DExample:
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.aggregate in class FloatMatrix2Daggr - 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.FloatFunctionspublic FloatMatrix2D assign(FloatFunction function)
FloatMatrix2DExample:
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.assign in class FloatMatrix2Dfunction - a function object taking as argument the current cell's value.FloatFunctionspublic FloatMatrix2D assign(FloatProcedure cond, FloatFunction function)
FloatMatrix2Dassign in class FloatMatrix2Dcond - a condition.function - a function object.FloatFunctionspublic FloatMatrix2D assign(FloatProcedure cond, float value)
FloatMatrix2Dassign in class FloatMatrix2Dcond - a condition.value - a value.public FloatMatrix2D assign(float value)
FloatMatrix2Dassign in class FloatMatrix2Dvalue - the value to be filled into the cells.public FloatMatrix2D assign(float[] values)
FloatMatrix2DThe values are copied. So subsequent changes in values are not reflected in the matrix, and vice-versa.
assign in class FloatMatrix2Dvalues - the values to be filled into the cells.public FloatMatrix2D assign(float[][] values)
FloatMatrix2DThe values are copied. So subsequent changes in values are not reflected in the matrix, and vice-versa.
assign in class FloatMatrix2Dvalues - the values to be filled into the cells.public FloatMatrix2D assign(FloatMatrix2D source)
FloatMatrix2Dassign in class FloatMatrix2Dsource - the source matrix to copy from (may be identical to the
receiver).public FloatMatrix2D assign(FloatMatrix2D y, FloatFloatFunction function)
FloatMatrix2DExample:
// 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.assign in class FloatMatrix2Dy - 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,FloatFunctionspublic FloatMatrix2D assign(FloatMatrix2D y, FloatFloatFunction function, IntArrayList rowList, IntArrayList columnList)
FloatMatrix2Dassign in class FloatMatrix2Dy - 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.FloatFunctionspublic int cardinality()
FloatMatrix2Dcardinality in class FloatMatrix2Dpublic void dct2(boolean scale)
scale - if true then scaling is performedpublic void dctColumns(boolean scale)
scale - if true then scaling is performedpublic void dctRows(boolean scale)
scale - if true then scaling is performedpublic void dht2()
public void dhtColumns()
public void dhtRows()
public void dst2(boolean scale)
scale - if true then scaling is performedpublic void dstColumns(boolean scale)
scale - if true then scaling is performedpublic void dstRows(boolean scale)
scale - if true then scaling is performedpublic float[] elements()
FloatMatrix2Delements in class FloatMatrix2Dpublic void fft2()
this[k1][2*k2] = Re[k1][k2] = Re[rows-k1][columns-k2],
this[k1][2*k2+1] = Im[k1][k2] = -Im[rows-k1][columns-k2],
0<k1<rows, 0<k2<columns/2,
this[0][2*k2] = Re[0][k2] = Re[0][columns-k2],
this[0][2*k2+1] = Im[0][k2] = -Im[0][columns-k2],
0<k2<columns/2,
this[k1][0] = Re[k1][0] = Re[rows-k1][0],
this[k1][1] = Im[k1][0] = -Im[rows-k1][0],
this[rows-k1][1] = Re[k1][columns/2] = Re[rows-k1][columns/2],
this[rows-k1][0] = -Im[k1][columns/2] = Im[rows-k1][columns/2],
0<k1<rows/2,
this[0][0] = Re[0][0],
this[0][1] = Re[0][columns/2],
this[rows/2][0] = Re[rows/2][0],
this[rows/2][1] = Re[rows/2][columns/2]
This method computes only half of the elements of the real transform. The
other half satisfies the symmetry condition. If you want the full real
forward transform, use getFft2. To get back the original
data, use ifft2.IllegalArgumentException - if the row size or the column size of this matrix is not a
power of 2 number.public FloatMatrix2D forEachNonZero(IntIntFloatFunction function)
FloatMatrix2DforEachNonZero in class FloatMatrix2Dfunction - a function object taking as argument the current non-zero
cell's row, column and value.public DenseFloatMatrix2D getRowMajor()
public DenseFComplexMatrix2D getFft2()
public DenseFComplexMatrix2D getFftColumns()
public DenseFComplexMatrix2D getFftRows()
public FComplexMatrix2D getIfft2(boolean scale)
public FComplexMatrix2D getIfftColumns(boolean scale)
public FComplexMatrix2D getIfftRows(boolean scale)
public void getNegativeValues(IntArrayList rowList, IntArrayList columnList, FloatArrayList valueList)
FloatMatrix2DgetNegativeValues in class FloatMatrix2DrowList - 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 void getNonZeros(IntArrayList rowList, IntArrayList columnList, FloatArrayList valueList)
FloatMatrix2DIn 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.getNonZeros in class FloatMatrix2DrowList - 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 void getPositiveValues(IntArrayList rowList, IntArrayList columnList, FloatArrayList valueList)
FloatMatrix2DgetPositiveValues in class FloatMatrix2DrowList - 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 float getQuick(int row,
int column)
FloatMatrix2DProvided 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().
getQuick in class FloatMatrix2Drow - the index of the row-coordinate.column - the index of the column-coordinate.public void idct2(boolean scale)
scale - if true then scaling is performedpublic void idctColumns(boolean scale)
scale - if true then scaling is performedpublic void idctRows(boolean scale)
scale - if true then scaling is performedpublic void idht2(boolean scale)
scale - if true then scaling is performedpublic void idhtColumns(boolean scale)
scale - if true then scaling is performedpublic void idhtRows(boolean scale)
scale - if true then scaling is performedpublic void idst2(boolean scale)
scale - if true then scaling is performedpublic void idstColumns(boolean scale)
scale - if true then scaling is performedpublic void idstRows(boolean scale)
scale - if true then scaling is performedpublic void ifft2(boolean scale)
this[k1][2*k2] = Re[k1][k2] = Re[rows-k1][columns-k2],
this[k1][2*k2+1] = Im[k1][k2] = -Im[rows-k1][columns-k2],
0<k1<rows, 0<k2<columns/2,
this[0][2*k2] = Re[0][k2] = Re[0][columns-k2],
this[0][2*k2+1] = Im[0][k2] = -Im[0][columns-k2],
0<k2<columns/2,
this[k1][0] = Re[k1][0] = Re[rows-k1][0],
this[k1][1] = Im[k1][0] = -Im[rows-k1][0],
this[rows-k1][1] = Re[k1][columns/2] = Re[rows-k1][columns/2],
this[rows-k1][0] = -Im[k1][columns/2] = Im[rows-k1][columns/2],
0<k1<rows/2,
this[0][0] = Re[0][0],
this[0][1] = Re[0][columns/2],
this[rows/2][0] = Re[rows/2][0],
this[rows/2][1] = Re[rows/2][columns/2]
This method computes only half of the elements of the real transform. The
other half satisfies the symmetry condition. If you want the full real
inverse transform, use getIfft2.scale - if true then scaling is performedIllegalArgumentException - if the row size or the column size of this matrix is not a
power of 2 number.public long index(int row,
int column)
AbstractMatrix2Dindex in class AbstractMatrix2Drow - the index of the row-coordinate.column - the index of the column-coordinate.public FloatMatrix2D like(int rows, int columns)
FloatMatrix2Dlike in class FloatMatrix2Drows - the number of rows the matrix shall have.columns - the number of columns the matrix shall have.public FloatMatrix1D like1D(int size)
FloatMatrix2Dlike1D in class FloatMatrix2Dsize - the number of cells the matrix shall have.public float[] getMaxLocation()
FloatMatrix2DgetMaxLocation in class FloatMatrix2Dpublic float[] getMinLocation()
FloatMatrix2DgetMinLocation in class FloatMatrix2Dpublic void setQuick(int row,
int column,
float value)
FloatMatrix2DProvided 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().
setQuick in class FloatMatrix2Drow - the index of the row-coordinate.column - the index of the column-coordinate.value - the value to be filled into the specified cell.public float[][] toArray()
FloatMatrix2DThe values are copied. So subsequent changes in values are not reflected in the matrix, and vice-versa.
toArray in class FloatMatrix2Dpublic FloatMatrix1D vectorize()
FloatMatrix2Dvectorize in class FloatMatrix2Dpublic FloatMatrix1D zMult(FloatMatrix1D y, FloatMatrix1D z, float alpha, float beta, boolean transposeA)
FloatMatrix2DzMult in class FloatMatrix2Dy - 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.public FloatMatrix2D zMult(FloatMatrix2D B, FloatMatrix2D C, float alpha, float beta, boolean transposeA, boolean transposeB)
FloatMatrix2DzMult in class FloatMatrix2DB - 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.public float zSum()
FloatMatrix2DzSum in class FloatMatrix2DJump to the Parallel Colt Homepage