Object
- GeneralMatrix

All Implemented Interfaces:

Serializable, Cloneable, Matrix, Cloneable, XMatrix

Direct Known Subclasses:

Matrix4
```
public class GeneralMatrix
extends Object
implements XMatrix, Serializable
```
A two dimensional array of numbers. Row and column numbering begins with zero.

Since:

2.2

Author:

Martin Desruisseaux (IRD), Simone Giannecchini

See Also:

AffineTransform, Serialized Form

Constructor Summary

Constructors
Constructor	Description
`GeneralMatrix(double[][] matrix)`	Constructs a new matrix from a two-dimensional array of doubles.
`GeneralMatrix(int size)`	Constructs a square identity matrix of size `size` × `size`.
`GeneralMatrix(int numRow, int numCol)`	Creates a matrix of size `numRow` × `numCol`.
`GeneralMatrix(int numRow, int numCol, double... matrix)`	Constructs a `numRow` × `numCol` matrix initialized to the values in the `matrix` array.
`GeneralMatrix(int numRow, int numCol, Matrix matrix)`	Constructs a `numRow` × `numCol` matrix initialized to the values in the `matrix` array.
`GeneralMatrix(AffineTransform transform)`	Constructs a 3×3 matrix from the specified affine transform.
`GeneralMatrix(Bounds srcRegion, Bounds dstRegion)`	Constructs a transform that maps a source region to a destination region.
`GeneralMatrix(Bounds srcRegion, AxisDirection[] srcAxis, Bounds dstRegion, AxisDirection[] dstAxis)`	Constructs a transform mapping a source region to a destination region.
`GeneralMatrix(AxisDirection[] srcAxis, AxisDirection[] dstAxis)`	Constructs a transform changing axis order and/or direction.
`GeneralMatrix(Matrix matrix)`	Constructs a new matrix and copies the initial values from the parameter matrix.
`GeneralMatrix(GeneralMatrix matrix)`	Constructs a new matrix and copies the initial values from the parameter matrix.

Method Summary

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`void`	`add(double scalar)`	Performs an in-place scalar addition.
`void`	`add(double scalar, XMatrix matrix)`	Set to the scalar addition of `scalar+matrix`
`void`	`add(XMatrix matrix)`	Set to the matrix addition of `this+matrix`.
`void`	`add(XMatrix matrix1, XMatrix matrix2)`	Set to the matrix addition of `matrix1+matrix2`.
`GeneralMatrix`	`clone()`	Returns a clone of this matrix.
`void`	`copySubMatrix(int rowSource, int colSource, int numRows, int numCol, int rowDest, int colDest, GeneralMatrix target)`	Extract a subMatrix to the provided target
`double`	`determinate()`	Computes the determinant
`boolean`	`equals(Object obj)`
`boolean`	`equals(Matrix matrix, double tolerance)`	Compares the element values.
`void`	`getColumn(int col, double[] array)`	Extract col to provided array.
`double`	`getElement(int row, int column)`	Returns the value at the row, column position in the matrix.
`double[][]`	`getElements()`	Retrieves the specifiable values in the transformation matrix into a 2-dimensional array of double precision values.
`static double[][]`	`getElements(Matrix matrix)`	Retrieves the specifiable values in the transformation matrix into a 2-dimensional array of double precision values.
`int`	`getNumCol()`	Gets the number of columns in the matrix.
`int`	`getNumRow()`	Gets the number of rows in the matrix.
`void`	`getRow(int row, double[] array)`	Extract row to provided array
`int`	`hashCode()`
`void`	`invert()`	Inverts this matrix in place.
`void`	`invert(Matrix matrix)`	Set to the inverse of the provided matrix.
`boolean`	`isAffine()`	Returns `true` if this matrix is an affine transform.
`boolean`	`isIdentity()`	Returns `true` if this matrix is an identity matrix.
`boolean`	`isIdentity(double tolerance)`	Returns `true` if this matrix is an identity matrix using the provided tolerance.
`static GeneralMatrix`	`load(BufferedReader in, Locale locale)`	Loads data from the specified streal until the first blank line or end of stream.
`static GeneralMatrix`	`load(File file)`	Loads data from the specified file until the first blank line or end of file.
`void`	`mul(double scalar)`	Sets this matrix to the result of multiplying itself with the provided scalar.
`void`	`mul(double scalar, Matrix matrix)`	Sets the value of this matrix to the result of multiplying the provided scalar and matrix.
`void`	`mul(Matrix matrix)`	In-place multiply with provided matrix.
`void`	`mul(Matrix matrix1, Matrix matrix2)`	In-place update from matrix1 * matrix2.
`void`	`multiply(Matrix matrix)`	Sets the value of this matrix to the result of multiplying itself with the specified matrix.
`void`	`negate()`	Changes the sign of each element in the matrix.
`void`	`negate(Matrix matrix)`	Negates the value of this matrix: `this = -matrix`.
`void`	`set(double[] matrix)`	Update in place to the provided matrix (row-order).
`void`	`setColumn(int column, double... values)`	Sets the value of the column using an array of values.
`void`	`setElement(int row, int column, double value)`	Sets the value of the row, column position in the matrix.
`void`	`setIdentity()`	Sets the main diagonal of this matrix to be 1.0.
`void`	`setRow(int row, double... values)`	Sets the value of the row using an array of values.
`void`	`setSize(int numRows, int numCols)`	Resize the matrix to the specified number of rows and columns (preserving remaining elements).
`void`	`setZero()`	Sets each value of the matrix to 0.0.
`void`	`sub(double scalar)`	In-place matrix subtraction: `this - scalar`.
`void`	`sub(double scalar, Matrix matrix)`	Set to the difference of `scalar - matrix2`.
`void`	`sub(Matrix matrix)`	In-place matrix subtraction: `this - matrix`.
`void`	`sub(Matrix matrix1, Matrix matrix2)`	Set to the difference of `matrix1 - matrix2`.
`AffineTransform`	`toAffineTransform2D()`	Returns an affine transform for this matrix.
`String`	`toString()`	Returns a string representation of this matrix.
`void`	`transpose()`	Transposes the matrix.
`void`	`transpose(Matrix matrix)`	Set to the transpose of the provided matrix.

Methods inherited from class Object
finalize, getClass, notify, notifyAll, wait, wait, wait

- Constructor Detail
  - GeneralMatrix
```
public GeneralMatrix(int size)
```
    Constructs a square identity matrix of size size × size.
    
    Parameters:
    
    size - The number of rows and columns.
  - GeneralMatrix
```
public GeneralMatrix(int numRow,
                     int numCol)
```
    Creates a matrix of size numRow × numCol. Elements on the diagonal j==i are set to 1.
    
    Parameters:
    
    numRow - Number of rows.
    
    numCol - Number of columns.
  - GeneralMatrix
```
public GeneralMatrix(int numRow,
                     int numCol,
                     double... matrix)
```
    Constructs a numRow × numCol matrix initialized to the values in the matrix array. The array values are copied in one row at a time in row major fashion. The array should be exactly numRow*numCol in length. Note that because row and column numbering begins with zero, numRow and numCol will be one larger than the maximum possible matrix index values.
    
    Parameters:
    
    numRow - Number of rows.
    
    numCol - Number of columns.
    
    matrix - Initial values in row order
  - GeneralMatrix
```
public GeneralMatrix(int numRow,
                     int numCol,
                     Matrix matrix)
```
    Constructs a numRow × numCol matrix initialized to the values in the matrix array. The array values are copied in one row at a time in row major fashion. The array should be exactly numRow*numCol in length. Note that because row and column numbering begins with zero, numRow and numCol will be one larger than the maximum possible matrix index values.
    
    Parameters:
    
    numRow - Number of rows.
    
    numCol - Number of columns.
    
    matrix - Initial values in row order
  - GeneralMatrix
```
public GeneralMatrix(double[][] matrix)
              throws IllegalArgumentException
```
    Constructs a new matrix from a two-dimensional array of doubles.
    
    Parameters:
    
    matrix - Array of rows. Each row must have the same length.
    
    Throws:
    
    IllegalArgumentException - if the specified matrix is not regular (i.e. if all rows doesn't have the same length).
  - GeneralMatrix
```
public GeneralMatrix(Matrix matrix)
```
    Constructs a new matrix and copies the initial values from the parameter matrix.
    
    Parameters:
    
    matrix - The matrix to copy.
  - GeneralMatrix
```
public GeneralMatrix(GeneralMatrix matrix)
```
    Constructs a new matrix and copies the initial values from the parameter matrix.
    
    Parameters:
    
    matrix - The matrix to copy.
  - GeneralMatrix
```
public GeneralMatrix(AffineTransform transform)
```
    Constructs a 3×3 matrix from the specified affine transform.
    
    Parameters:
    
    transform - The matrix to copy.
  - GeneralMatrix
```
public GeneralMatrix(Bounds srcRegion,
                     Bounds dstRegion)
```
    Constructs a transform that maps a source region to a destination region. Axis order and direction are left unchanged.
    If the source dimension is equals to the destination dimension, then the transform is affine. However, the following special cases are also handled:
    
    If the target dimension is smaller than the source dimension, then extra dimensions are dropped.
    If the target dimension is greater than the source dimension, then the coordinates in the new dimensions are set to 0.
    Parameters:
    
    srcRegion - The source region.
    
    dstRegion - The destination region.
  - GeneralMatrix
```
public GeneralMatrix(AxisDirection[] srcAxis,
                     AxisDirection[] dstAxis)
```
    Constructs a transform changing axis order and/or direction. For example, the transform may converts (NORTH,WEST) coordinates into (EAST,NORTH). Axis direction can be inversed only. For example, it is illegal to transform (NORTH,WEST) coordinates into (NORTH,DOWN).
    If the source dimension is equals to the destination dimension, then the transform is affine. However, the following special cases are also handled:
    
    If the target dimension is smaller than the source dimension, extra axis are dropped. An exception is thrown if the target contains some axis not found in the source.
    Parameters:
    
    srcAxis - The set of axis direction for source coordinate system.
    
    dstAxis - The set of axis direction for destination coordinate system.
    
    Throws:
    
    IllegalArgumentException - If dstAxis contains some axis not found in srcAxis, or if some colinear axis were found.
  - GeneralMatrix
```
public GeneralMatrix(Bounds srcRegion,
                     AxisDirection[] srcAxis,
                     Bounds dstRegion,
                     AxisDirection[] dstAxis)
```
    Constructs a transform mapping a source region to a destination region. Axis order and/or direction can be changed during the process. For example, the transform may convert (NORTH,WEST) coordinates into (EAST,NORTH). Axis direction can be inversed only. For example, it is illegal to transform (NORTH,WEST) coordinates into (NORTH,DOWN).
    If the source dimension is equals to the destination dimension, then the transform is affine. However, the following special cases are also handled:
    
    If the target dimension is smaller than the source dimension, extra axis are dropped. An exception is thrown if the target contains some axis not found in the source.
    Parameters:
    
    srcRegion - The source region.
    
    srcAxis - Axis direction for each dimension of the source region.
    
    dstRegion - The destination region.
    
    dstAxis - Axis direction for each dimension of the destination region.
    
    Throws:
    
    MismatchedDimensionException - if the envelope dimension doesn't matches the axis direction array length.
    
    IllegalArgumentException - If dstAxis contains some axis not found in srcAxis, or if some colinear axis were found.
- Method Detail
  - getElements
```
public static double[][] getElements(Matrix matrix)
```
    Retrieves the specifiable values in the transformation matrix into a 2-dimensional array of double precision values. The values are stored into the 2-dimensional array using the row index as the first subscript and the column index as the second. Values are copied; changes to the returned array will not change this matrix.
    
    Parameters:
    
    matrix - The matrix to extract elements from.
    
    Returns:
    
    The matrix elements.
  - getElements
```
public final double[][] getElements()
```
    Retrieves the specifiable values in the transformation matrix into a 2-dimensional array of double precision values. The values are stored into the 2-dimensional array using the row index as the first subscript and the column index as the second. Values are copied; changes to the returned array will not change this matrix.
    
    Returns:
    
    The matrix elements.
  - isAffine
```
public final boolean isAffine()
```
    Returns true if this matrix is an affine transform. A transform is affine if the matrix is square and last row contains only zeros, except in the last column which contains 1.
    
    Specified by:
    
    isAffine in interface XMatrix
    
    Returns:
    
    true if this matrix is affine.
  - negate
```
public void negate()
```
    Changes the sign of each element in the matrix.
    
    Specified by:
    
    negate in interface XMatrix
  - negate
```
public void negate(Matrix matrix)
```
    Description copied from interface: XMatrix
    
    Negates the value of this matrix: this = -matrix.
    
    Specified by:
    
    negate in interface XMatrix
    
    Parameters:
    
    matrix - Matrix to negated
  - transpose
```
public void transpose()
```
    Transposes the matrix.
    
    Specified by:
    
    transpose in interface XMatrix
  - transpose
```
public void transpose(Matrix matrix)
```
    Description copied from interface: XMatrix
    
    Set to the transpose of the provided matrix.
    
    Specified by:
    
    transpose in interface XMatrix
    
    Parameters:
    
    matrix - The original matrix. Not modified.
  - invert
```
public void invert()
```
    Description copied from interface: XMatrix
    
    Inverts this matrix in place.
    
    Specified by:
    
    invert in interface XMatrix
  - invert
```
public void invert(Matrix matrix)
            throws SingularMatrixException
```
    Description copied from interface: XMatrix
    
    Set to the inverse of the provided matrix.
    
    Specified by:
    
    invert in interface XMatrix
    
    Parameters:
    
    matrix - The matrix that is to be inverted. Not modified.
    
    Throws:
    
    SingularMatrixException - if this matrix is not invertible.
  - getNumRow
```
public int getNumRow()
```
    Gets the number of rows in the matrix.
    
    Specified by:
    
    getNumRow in interface Matrix
    
    Specified by:
    
    getNumRow in interface XMatrix
    
    Returns:
    
    The number of rows in the matrix.
  - getNumCol
```
public int getNumCol()
```
    Gets the number of columns in the matrix.
    
    Specified by:
    
    getNumCol in interface Matrix
    
    Specified by:
    
    getNumCol in interface XMatrix
    
    Returns:
    
    The number of columns in the matrix.
  - getElement
```
public double getElement(int row,
                         int column)
```
    Returns the value at the row, column position in the matrix.
    
    Specified by:
    
    getElement in interface Matrix
    
    Specified by:
    
    getElement in interface XMatrix
    
    Parameters:
    
    row - The row number to be retrieved (zero indexed).
    
    column - The column number to be retrieved (zero indexed).
    
    Returns:
    
    Matrix value at the given row and column.
  - setColumn
```
public void setColumn(int column,
                      double... values)
```
    Description copied from interface: XMatrix
    
    Sets the value of the column using an array of values.
    
    Specified by:
    
    setColumn in interface XMatrix
  - setRow
```
public void setRow(int row,
                   double... values)
```
    Description copied from interface: XMatrix
    
    Sets the value of the row using an array of values.
    
    Specified by:
    
    setRow in interface XMatrix
  - setElement
```
public void setElement(int row,
                       int column,
                       double value)
```
    Sets the value of the row, column position in the matrix.
    
    Specified by:
    
    setElement in interface Matrix
    
    Parameters:
    
    row - The row number to be retrieved (zero indexed).
    
    column - The column number to be retrieved (zero indexed).
    
    value - The new matrix element value.
  - setZero
```
public void setZero()
```
    Sets each value of the matrix to 0.0.
    
    Specified by:
    
    setZero in interface XMatrix
  - setIdentity
```
public void setIdentity()
```
    Sets the main diagonal of this matrix to be 1.0.
    
    Specified by:
    
    setIdentity in interface XMatrix
  - isIdentity
```
public final boolean isIdentity()
```
    Returns true if this matrix is an identity matrix.
    
    Specified by:
    
    isIdentity in interface Matrix
    
    Returns:
    
    true if this matrix is an identity matrix.
  - isIdentity
```
public final boolean isIdentity(double tolerance)
```
    Returns true if this matrix is an identity matrix using the provided tolerance. This method is equivalent to computing the difference between this matrix and an identity matrix of identical size, and returning true if and only if all differences are smaller than or equal to tolerance.
    
    Specified by:
    
    isIdentity in interface XMatrix
    
    Parameters:
    
    tolerance - The tolerance value.
    
    Returns:
    
    true if this matrix is close enough to the identity matrix given the tolerance value.
    
    Since:
    
    2.3.1
  - multiply
```
public final void multiply(Matrix matrix)
```
    Sets the value of this matrix to the result of multiplying itself with the specified matrix. In other words, performs this = this × matrix. In the context of coordinate transformations, this is equivalent to AffineTransform.concatenate: first transforms by the supplied transform and then transform the result by the original transform.
    
    Specified by:
    
    multiply in interface XMatrix
    
    Parameters:
    
    matrix - The matrix to multiply to this matrix.
  - hashCode
```
public int hashCode()
```
    Overrides:
    
    hashCode in class Object
  - equals
```
public boolean equals(Object obj)
```
    Overrides:
    
    equals in class Object
  - equals
```
public boolean equals(Matrix matrix,
                      double tolerance)
```
    Description copied from interface: XMatrix
    
    Compares the element values.
    
    Specified by:
    
    equals in interface XMatrix
    
    Parameters:
    
    matrix - The matrix to compare.
    
    tolerance - The tolerance value.
    
    Returns:
    
    true if this matrix is close enough to the given matrix given the tolerance value.
  - toAffineTransform2D
```
public final AffineTransform toAffineTransform2D()
                                          throws IllegalStateException
```
    Returns an affine transform for this matrix. This is a convenience method for interoperability with Java2D.
    
    Returns:
    
    The affine transform for this matrix.
    
    Throws:
    
    IllegalStateException - if this matrix is not 3×3, or if the last row is not [0 0 1].
  - load
```
public static GeneralMatrix load(File file)
                          throws IOException
```
    Loads data from the specified file until the first blank line or end of file.
    
    Parameters:
    
    file - The file to read.
    
    Returns:
    
    The matrix parsed from the file.
    
    Throws:
    
    IOException - if an error occured while reading the file.
    
    Since:
    
    2.2
  - load
```
public static GeneralMatrix load(BufferedReader in,
                                 Locale locale)
                          throws IOException
```
    Loads data from the specified streal until the first blank line or end of stream.
    
    Parameters:
    
    in - The stream to read.
    
    locale - The locale for the numbers to be parsed.
    
    Returns:
    
    The matrix parsed from the stream.
    
    Throws:
    
    IOException - if an error occured while reading the stream.
    
    Since:
    
    2.2
  - toString
```
public String toString()
```
    Returns a string representation of this matrix. The returned string is implementation dependent. It is usually provided for debugging purposes only.
    
    Overrides:
    
    toString in class Object
  - clone
```
public GeneralMatrix clone()
```
    Returns a clone of this matrix.
    
    Specified by:
    
    clone in interface Cloneable
    
    Specified by:
    
    clone in interface Matrix
    
    Overrides:
    
    clone in class Object
    
    Returns:
    
    A clone of this matrix.
    
    See Also:
    
    Object.clone()
  - copySubMatrix
```
public void copySubMatrix(int rowSource,
                          int colSource,
                          int numRows,
                          int numCol,
                          int rowDest,
                          int colDest,
                          GeneralMatrix target)
```
    Extract a subMatrix to the provided target
  - getColumn
```
public void getColumn(int col,
                      double[] array)
```
    Extract col to provided array.
    
    Specified by:
    
    getColumn in interface XMatrix
  - mul
```
public void mul(double scalar)
```
    Description copied from interface: XMatrix
    
    Sets this matrix to the result of multiplying itself with the provided scalar.
    
    Specified by:
    
    mul in interface XMatrix
  - mul
```
public void mul(double scalar,
                Matrix matrix)
```
    Description copied from interface: XMatrix
    
    Sets the value of this matrix to the result of multiplying the provided scalar and matrix.
    
    Specified by:
    
    mul in interface XMatrix
  - getRow
```
public void getRow(int row,
                   double[] array)
```
    Extract row to provided array
    
    Specified by:
    
    getRow in interface XMatrix
  - mul
```
public final void mul(Matrix matrix)
```
    In-place multiply with provided matrix.
    
    Specified by:
    
    mul in interface XMatrix
    
    Parameters:
    
    matrix - The matrix to multiply to this matrix.
  - mul
```
public void mul(Matrix matrix1,
                Matrix matrix2)
```
    In-place update from matrix1 * matrix2.
    
    Specified by:
    
    mul in interface XMatrix
  - sub
```
public void sub(double scalar)
```
    Description copied from interface: XMatrix
    
    In-place matrix subtraction: this - scalar.
    
    Specified by:
    
    sub in interface XMatrix
  - sub
```
public void sub(double scalar,
                Matrix matrix)
```
    Description copied from interface: XMatrix
    
    Set to the difference of scalar - matrix2.
    
    Specified by:
    
    sub in interface XMatrix
    
    matrix - matrix, not modified
  - sub
```
public void sub(Matrix matrix)
```
    Description copied from interface: XMatrix
    
    In-place matrix subtraction: this - matrix.
    
    Specified by:
    
    sub in interface XMatrix
    
    Parameters:
    
    matrix - m by n matrix. Not modified.
  - sub
```
public void sub(Matrix matrix1,
                Matrix matrix2)
```
    Description copied from interface: XMatrix
    
    Set to the difference of matrix1 - matrix2.
    
    Specified by:
    
    sub in interface XMatrix
    
    Parameters:
    
    matrix1 - matrix, not modified
    
    matrix2 - matrix, not modified
  - set
```
public void set(double[] matrix)
```
    Update in place to the provided matrix (row-order).
  - setSize
```
public void setSize(int numRows,
                    int numCols)
```
    Resize the matrix to the specified number of rows and columns (preserving remaining elements).
    
    Parameters:
    
    numRows - The new number of rows in the matrix.
    
    numCols - The new number of columns in the matrix.
  - add
```
public void add(double scalar)
```
    Description copied from interface: XMatrix
    
    Performs an in-place scalar addition.
    
    Specified by:
    
    add in interface XMatrix
    
    Parameters:
    
    scalar - The value that's added to each element.
  - add
```
public void add(double scalar,
                XMatrix matrix)
```
    Description copied from interface: XMatrix
    
    Set to the scalar addition of scalar+matrix
    Specified by: add in interface XMatrix Parameters: scalar - The value that's added to each element. matrix - The matrix that is to be added. Not modified.
  add public void add(XMatrix matrix) Description copied from interface: XMatrix Set to the matrix addition of this+matrix. Specified by: add in interface XMatrix Parameters: matrix - The matrix that is to be added. Not modified. add public void add(XMatrix matrix1, XMatrix matrix2) Description copied from interface: XMatrix Set to the matrix addition of matrix1+matrix2. Specified by: add in interface XMatrix Parameters: matrix1 - First matrix to be added. Not modified. matrix2 - Second matrix to be added. Not modified. determinate public double determinate() Description copied from interface: XMatrix Computes the determinant Specified by: determinate in interface XMatrix

Class GeneralMatrix

Constructor Summary

Method Summary

Methods inherited from class Object

Constructor Detail

GeneralMatrix

GeneralMatrix

GeneralMatrix

GeneralMatrix

GeneralMatrix

GeneralMatrix

GeneralMatrix

GeneralMatrix

GeneralMatrix

GeneralMatrix

GeneralMatrix

Method Detail

getElements

getElements

isAffine

negate

negate

transpose

transpose

invert

invert

getNumRow

getNumCol

getElement

setColumn

setRow

setElement

setZero

setIdentity

isIdentity

isIdentity

multiply

hashCode

equals

equals

toAffineTransform2D

load

load

toString

clone

copySubMatrix

getColumn

mul

mul

getRow

mul

mul

sub

sub

sub

sub

set

setSize

add

add

add

add

determinate