java.lang.Object
- org.arakhne.afc.math.matrix.Matrix2d

All Implemented Interfaces:

Serializable, Cloneable
```
public class Matrix2d
extends Object
implements Serializable, Cloneable
```
Is represented internally as a 2x2 floating point matrix. The mathematical representation is row major, as in traditional matrix mathematics.

Version:

17.0 2020-01-04 14:41:43

Author:

Stéphane GALLAND

See Also:

Serialized Form

Maven Group Id:

org.arakhne.afc.core

Maven Artifact Id:

mathgeom

Field Summary

Fields
Modifier and Type	Field	Description
`protected Boolean`	`isIdentity`	Indicates if the matrix is identity.
`protected double`	`m00`	The first matrix element in the first row.
`protected double`	`m01`	The second matrix element in the first row.
`protected double`	`m10`	The first matrix element in the second row.
`protected double`	`m11`	The second matrix element in the second row.

Constructor Summary

Constructors
Constructor	Description
`Matrix2d()`	Constructs and initializes a Matrix2f to all zeros.
`Matrix2d(double[] matrix)`	Constructs and initializes a Matrix2f from the specified nine- element array.
`Matrix2d(double m00, double m01, double m10, double m11)`	Constructs and initializes a Matrix2f from the specified nine values.
`Matrix2d(Matrix2d matrix)`	Constructs a new matrix with the same values as the Matrix2f parameter.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`Matrix2d`	`$bang()`	Replies the transposition of this matrix: `!this`.
`Matrix2d`	`$div(double scalar)`	Replies the division of this matrix by the given scalar: `this / scalar`.
`Matrix2d`	`$minus()`	Replies the negation of this matrix: `-this`.
`Matrix2d`	`$minus(double scalar)`	Replies the substraction of the given scalar to this matrix: `this - scalar`.
`Matrix2d`	`$minus(Matrix2d matrix)`	Replies the substraction of the given matrix to this matrix: `this + matrix`.
`Matrix2d`	`$plus(double scalar)`	Replies the addition of the given scalar to this matrix: `this + scalar`.
`Matrix2d`	`$plus(Matrix2d matrix)`	Replies the addition of the given matrix to this matrix: `this + matrix`.
`Matrix2d`	`$times(double scalar)`	Replies the multiplication of the given scalar and this matrix: `this * scalar`.
`Matrix2d`	`$times(Matrix2d matrix)`	Replies the multiplication of the given matrix and this matrix: `this * matrix`.
`void`	`add(double scalar)`	Adds a scalar to each component of this matrix.
`void`	`add(double scalar, Matrix2d matrix)`	Adds a scalar to each component of the matrix m1 and places the result into this.
`void`	`add(Matrix2d matrix)`	Sets the value of this matrix to the sum of itself and matrix m1.
`void`	`add(Matrix2d matrix1, Matrix2d matrix2)`	Sets the value of this matrix to the matrix sum of matrices m1 and m2.
`Matrix2d`	`clone()`	Creates a new object of the same class as this object.
`boolean`	`cov(Vector2D<?,?> result, Iterable<? extends Tuple2D<?>> tuples)`	Set this matrix with the covariance matrix's elements for the given set of tuples.
`boolean`	`cov(Vector2D<?,?> result, Point2D<?,?>... tuples)`	Set this matrix with the covariance matrix's elements for the given set of tuples.
`boolean`	`cov(Vector2D<?,?> result, Vector2D<?,?>... tuples)`	Set this matrix with the covariance matrix's elements for the given set of tuples.
`double`	`determinant()`	Computes the determinant of this matrix.
`double[]`	`eigenVectorsOfSymmetricMatrix(Matrix2d eigenVectors)`	Compute the eigenvectors of this matrix, assuming it is a symmetric matrix according to the Jacobi Cyclic Method.
`boolean`	`equals(Object object)`	Returns true if the Object t1 is of type Matrix2f and all of the data members of t1 are equal to the corresponding data members in this Matrix2f.
`boolean`	`equals(Matrix2d matrix)`	Returns true if all of the data members of Matrix2f m1 are equal to the corresponding data members in this Matrix2f.
`void`	`getColumn(int column, double[] vector)`	Copies the matrix values in the specified column into the array parameter.
`void`	`getColumn(int column, Tuple2D<?> vector)`	Copies the matrix values in the specified column into the vector parameter.
`double`	`getElement(int row, int column)`	Retrieves the value at the specified row and column of the specified matrix.
`double`	`getM00()`	Get the first matrix element in the first row.
`double`	`getM01()`	Get the second matrix element in the first row.
`double`	`getM10()`	Get first matrix element in the second row.
`double`	`getM11()`	Get second matrix element in the second row.
`void`	`getRow(int row, double[] vector)`	Copies the matrix values in the specified row into the array parameter.
`void`	`getRow(int row, Tuple2D<?> vector)`	Copies the matrix values in the specified row into the vector parameter.
`int`	`hashCode()`	Returns a hash code value based on the data values in this object.
`boolean`	`isIdentity()`	Replies if the matrix is identity.
`boolean`	`isSymmetric()`	Replies if the matrix is symmetric.
`void`	`mul(double scalar)`	Multiplies each element of this matrix by a scalar.
`void`	`mul(double scalar, Matrix2d matrix)`	Multiplies each element of matrix m1 by a scalar and places the result into this.
`void`	`mul(Tuple2D<?> vector, Tuple2D<?> result)`	Multiply this matrix by the given vector v and set the resulting vector.
`void`	`mul(Matrix2d matrix)`	Sets the value of this matrix to the result of multiplying itself with matrix m1.
`void`	`mul(Matrix2d matrix1, Matrix2d matrix2)`	Sets the value of this matrix to the result of multiplying the two argument matrices together.
`void`	`mulTransposeBoth(Matrix2d matrix1, Matrix2d matrix2)`	Multiplies the transpose of matrix m1 times the transpose of matrix m2, and places the result into this.
`void`	`mulTransposeLeft(Matrix2d matrix1, Matrix2d matrix2)`	Multiplies the transpose of matrix m1 times matrix m2, and places the result into this.
`void`	`mulTransposeRight(Matrix2d matrix1, Matrix2d matrix2)`	Multiplies matrix m1 times the transpose of matrix m2, and places the result into this.
`void`	`negate()`	Negates the value of this matrix: this = -this.
`void`	`negate(Matrix2d matrix)`	Sets the value of this matrix equal to the negation of of the Matrix2f parameter.
`void`	`normalizeCP()`	Perform cross product normalization of this matrix.
`void`	`normalizeCP(Matrix2d matrix)`	Perform cross product normalization of matrix m1 and place the normalized values into this.
`void`	`operator_add(double scalar)`	Add the given scalar to this matrix: `this += scalar`.
`void`	`operator_add(Matrix2d matrix)`	Add the given matrix to this matrix: `this += matrix`.
`Matrix2d`	`operator_divide(double scalar)`	Replies the division of this matrix by the given scalar: `this / scalar`.
`Matrix2d`	`operator_minus()`	Replies the negation of this matrix: `-this`.
`Matrix2d`	`operator_minus(double scalar)`	Replies the substraction of the given scalar to this matrix: `this - scalar`.
`Matrix2d`	`operator_minus(Matrix2d matrix)`	Replies the substraction of the given matrix to this matrix: `this + matrix`.
`void`	`operator_moinsMoins()`	Increment this matrix: `this--`.
`Matrix2d`	`operator_multiply(double scalar)`	Replies the multiplication of the given scalar and this matrix: `this * scalar`.
`Matrix2d`	`operator_multiply(Matrix2d matrix)`	Replies the multiplication of the given matrix and this matrix: `this * matrix`.
`Matrix2d`	`operator_not()`	Replies the transposition of this matrix: `!this`.
`Matrix2d`	`operator_plus(double scalar)`	Replies the addition of the given scalar to this matrix: `this + scalar`.
`Matrix2d`	`operator_plus(Matrix2d matrix)`	Replies the addition of the given matrix to this matrix: `this + matrix`.
`void`	`operator_plusPlus()`	Increment this matrix: `this++`.
`void`	`operator_remove(double scalar)`	Substract the given scalar to this matrix: `this -= scalar`.
`void`	`operator_remove(Matrix2d matrix)`	Substract the given matrix to this matrix: `this -= matrix`.
`void`	`set(double[] matrix)`	Sets the values in this Matrix2f equal to the row-major array parameter (ie, the first two elements of the array will be copied into the first row of this matrix, etc.).
`void`	`set(double m00, double m01, double m10, double m11)`	Set the components of the matrix.
`void`	`set(Matrix2d matrix)`	Sets the value of this matrix to the value of the Matrix2f argument.
`void`	`setColumn(int column, double[] vector)`	Sets the specified column of this Matrix2f to the two values provided.
`void`	`setColumn(int column, double x, double y)`	Sets the specified column of this Matrix2f to the two values provided.
`void`	`setColumn(int column, Tuple2D<?> vector)`	Sets the specified column of this Matrix2f to the vector provided.
`void`	`setDiagonal(double m00, double m11)`	Sets this matrix as diagonal.
`void`	`setElement(int row, int column, double value)`	Sets the specified element of this Matrix2f to the value provided.
`void`	`setIdentity()`	Sets this Matrix2f to identity.
`void`	`setM00(double m00)`	Set the first matrix element in the first row.
`void`	`setM01(double m01)`	Set the second matrix element in the first row.
`void`	`setM10(double m10)`	Set first matrix element in the second row.
`void`	`setM11(double m11)`	Set the second matrix element in the second row.
`void`	`setRow(int row, double[] vector)`	Sets the specified row of this Matrix2f to the two values provided.
`void`	`setRow(int row, double x, double y)`	Sets the specified row of this Matrix2f to the 4 values provided.
`void`	`setRow(int row, Tuple2D<?> vector)`	Sets the specified row of this Matrix2f to the Vector provided.
`void`	`setZero()`	Sets this matrix to all zeros.
`void`	`sub(Matrix2d matrix)`	Sets the value of this matrix to the matrix difference of itself and matrix m1 (this = this - m1).
`void`	`sub(Matrix2d matrix1, Matrix2d matrix2)`	Sets the value of this matrix to the matrix difference of matrices m1 and m2.
`String`	`toString()`	Returns a string that contains the values of this Matrix2f.
`void`	`transpose()`	Sets the value of this matrix to its transpose.
`void`	`transpose(Matrix2d matrix)`	Sets the value of this matrix to the transpose of the argument matrix.

Methods inherited from class java.lang.Object
finalize, getClass, notify, notifyAll, wait, wait, wait

- Field Detail
  - m00
```
protected double m00
```
    The first matrix element in the first row.
  - m01
```
protected double m01
```
    The second matrix element in the first row.
  - m10
```
protected double m10
```
    The first matrix element in the second row.
  - m11
```
protected double m11
```
    The second matrix element in the second row.
  - isIdentity
```
protected Boolean isIdentity
```
    Indicates if the matrix is identity. If null the identity flag must be determined.
- Constructor Detail
  - Matrix2d
```
public Matrix2d(double m00,
                double m01,
                double m10,
                double m11)
```
    Constructs and initializes a Matrix2f from the specified nine values.
    
    Parameters:
    
    m00 - the [0][0] element
    
    m01 - the [0][1] element
    
    m10 - the [1][0] element
    
    m11 - the [1][1] element
  - Matrix2d
```
public Matrix2d(double[] matrix)
```
    Constructs and initializes a Matrix2f from the specified nine- element array.
    
    Parameters:
    
    matrix - the array of length 4 containing in order
  - Matrix2d
```
public Matrix2d(Matrix2d matrix)
```
    Constructs a new matrix with the same values as the Matrix2f parameter.
    
    Parameters:
    
    matrix - the source matrix
  - Matrix2d
```
public Matrix2d()
```
    Constructs and initializes a Matrix2f to all zeros.
- Method Detail
  - toString
```
@Pure
public String toString()
```
    Returns a string that contains the values of this Matrix2f.
    
    Overrides:
    
    toString in class Object
    
    Returns:
    
    the String representation
  - setIdentity
```
public final void setIdentity()
```
    Sets this Matrix2f to identity.
  - setElement
```
public final void setElement(int row,
                             int column,
                             double value)
```
    Sets the specified element of this Matrix2f to the value provided.
    
    Parameters:
    
    row - the row number to be modified (zero indexed)
    
    column - the column number to be modified (zero indexed)
    
    value - the new value
  - getElement
```
@Pure
public final double getElement(int row,
                               int column)
```
    Retrieves the value at the specified row and column of the specified matrix.
    
    Parameters:
    
    row - the row number to be retrieved (zero indexed)
    
    column - the column number to be retrieved (zero indexed)
    
    Returns:
    
    the value at the indexed element.
  - getRow
```
public final void getRow(int row,
                         Tuple2D<?> vector)
```
    Copies the matrix values in the specified row into the vector parameter.
    
    Parameters:
    
    row - the matrix row
    
    vector - the vector into which the matrix row values will be copied
  - getRow
```
public final void getRow(int row,
                         double[] vector)
```
    Copies the matrix values in the specified row into the array parameter.
    
    Parameters:
    
    row - the matrix row
    
    vector - the array into which the matrix row values will be copied
  - getColumn
```
public final void getColumn(int column,
                            Tuple2D<?> vector)
```
    Copies the matrix values in the specified column into the vector parameter.
    
    Parameters:
    
    column - the matrix column
    
    vector - the vector into which the matrix row values will be copied
  - getColumn
```
public final void getColumn(int column,
                            double[] vector)
```
    Copies the matrix values in the specified column into the array parameter.
    
    Parameters:
    
    column - the matrix column
    
    vector - the array into which the matrix row values will be copied
  - setRow
```
public final void setRow(int row,
                         double x,
                         double y)
```
    Sets the specified row of this Matrix2f to the 4 values provided.
    
    Parameters:
    
    row - the row number to be modified (zero indexed)
    
    x - the first column element
    
    y - the second column element
  - setRow
```
public final void setRow(int row,
                         Tuple2D<?> vector)
```
    Sets the specified row of this Matrix2f to the Vector provided.
    
    Parameters:
    
    row - the row number to be modified (zero indexed)
    
    vector - the replacement row
  - setRow
```
public final void setRow(int row,
                         double[] vector)
```
    Sets the specified row of this Matrix2f to the two values provided.
    
    Parameters:
    
    row - the row number to be modified (zero indexed)
    
    vector - the replacement row
  - setColumn
```
public final void setColumn(int column,
                            double x,
                            double y)
```
    Sets the specified column of this Matrix2f to the two values provided.
    
    Parameters:
    
    column - the column number to be modified (zero indexed)
    
    x - the first row element
    
    y - the second row element
  - setColumn
```
public final void setColumn(int column,
                            Tuple2D<?> vector)
```
    Sets the specified column of this Matrix2f to the vector provided.
    
    Parameters:
    
    column - the column number to be modified (zero indexed)
    
    vector - the replacement column
  - setColumn
```
public final void setColumn(int column,
                            double[] vector)
```
    Sets the specified column of this Matrix2f to the two values provided.
    
    Parameters:
    
    column - the column number to be modified (zero indexed)
    
    vector - the replacement column
  - add
```
public final void add(double scalar)
```
    Adds a scalar to each component of this matrix.
    
    Parameters:
    
    scalar - the scalar adder
  - add
```
public final void add(double scalar,
                      Matrix2d matrix)
```
    Adds a scalar to each component of the matrix m1 and places the result into this. Matrix m1 is not modified.
    
    Parameters:
    
    scalar - the scalar adder
    
    matrix - the original matrix values
  - add
```
public final void add(Matrix2d matrix1,
                      Matrix2d matrix2)
```
    Sets the value of this matrix to the matrix sum of matrices m1 and m2.
    
    Parameters:
    
    matrix1 - the first matrix
    
    matrix2 - the second matrix
  - add
```
public final void add(Matrix2d matrix)
```
    Sets the value of this matrix to the sum of itself and matrix m1.
    
    Parameters:
    
    matrix - the other matrix
  - sub
```
public final void sub(Matrix2d matrix1,
                      Matrix2d matrix2)
```
    Sets the value of this matrix to the matrix difference of matrices m1 and m2.
    
    Parameters:
    
    matrix1 - the first matrix
    
    matrix2 - the second matrix
  - sub
```
public final void sub(Matrix2d matrix)
```
    Sets the value of this matrix to the matrix difference of itself and matrix m1 (this = this - m1).
    
    Parameters:
    
    matrix - the other matrix
  - transpose
```
public final void transpose()
```
    Sets the value of this matrix to its transpose.
  - transpose
```
public final void transpose(Matrix2d matrix)
```
    Sets the value of this matrix to the transpose of the argument matrix.
    
    Parameters:
    
    matrix - the matrix to be transposed
  - set
```
public final void set(Matrix2d matrix)
```
    Sets the value of this matrix to the value of the Matrix2f argument.
    
    Parameters:
    
    matrix - the source Matrix2f
  - set
```
public final void set(double[] matrix)
```
    Sets the values in this Matrix2f equal to the row-major array parameter (ie, the first two elements of the array will be copied into the first row of this matrix, etc.).
    
    Parameters:
    
    matrix - the double precision array of length 4
  - set
```
public void set(double m00,
                double m01,
                double m10,
                double m11)
```
    Set the components of the matrix.
    
    Parameters:
    
    m00 - the [0][0] element
    
    m01 - the [0][1] element
    
    m10 - the [1][0] element
    
    m11 - the [1][1] element
  - determinant
```
@Pure
public final double determinant()
```
    Computes the determinant of this matrix.
    
    Returns:
    
    the determinant of the matrix
  - mul
```
public final void mul(double scalar)
```
    Multiplies each element of this matrix by a scalar.
    
    Parameters:
    
    scalar - The scalar multiplier.
  - mul
```
public final void mul(double scalar,
                      Matrix2d matrix)
```
    Multiplies each element of matrix m1 by a scalar and places the result into this. Matrix m1 is not modified.
    
    Parameters:
    
    scalar - the scalar multiplier
    
    matrix - the original matrix
  - mul
```
public final void mul(Matrix2d matrix)
```
    Sets the value of this matrix to the result of multiplying itself with matrix m1.
    
    Parameters:
    
    matrix - the other matrix
  - mul
```
@Pure
public final void mul(Tuple2D<?> vector,
                      Tuple2D<?> result)
```
    Multiply this matrix by the given vector v and set the resulting vector.
    
    Parameters:
    
    vector - the input vector
    
    result - is set with (this * v).
  - mul
```
public final void mul(Matrix2d matrix1,
                      Matrix2d matrix2)
```
    Sets the value of this matrix to the result of multiplying the two argument matrices together.
    
    Parameters:
    
    matrix1 - the first matrix
    
    matrix2 - the second matrix
  - mulTransposeBoth
```
public final void mulTransposeBoth(Matrix2d matrix1,
                                   Matrix2d matrix2)
```
    Multiplies the transpose of matrix m1 times the transpose of matrix m2, and places the result into this.
    
    Parameters:
    
    matrix1 - the matrix on the left hand side of the multiplication
    
    matrix2 - the matrix on the right hand side of the multiplication
  - mulTransposeRight
```
public final void mulTransposeRight(Matrix2d matrix1,
                                    Matrix2d matrix2)
```
    Multiplies matrix m1 times the transpose of matrix m2, and places the result into this.
    
    Parameters:
    
    matrix1 - the matrix on the left hand side of the multiplication
    
    matrix2 - the matrix on the right hand side of the multiplication
  - mulTransposeLeft
```
public final void mulTransposeLeft(Matrix2d matrix1,
                                   Matrix2d matrix2)
```
    Multiplies the transpose of matrix m1 times matrix m2, and places the result into this.
    
    Parameters:
    
    matrix1 - the matrix on the left hand side of the multiplication
    
    matrix2 - the matrix on the right hand side of the multiplication
  - normalizeCP
```
public final void normalizeCP()
```
    Perform cross product normalization of this matrix.
  - normalizeCP
```
public final void normalizeCP(Matrix2d matrix)
```
    Perform cross product normalization of matrix m1 and place the normalized values into this.
    
    Parameters:
    
    matrix - Provides the matrix values to be normalized
  - equals
```
@Pure
public boolean equals(Matrix2d matrix)
```
    Returns true if all of the data members of Matrix2f m1 are equal to the corresponding data members in this Matrix2f.
    
    Parameters:
    
    matrix - the matrix with which the comparison is made
    
    Returns:
    
    true or false
  - equals
```
@Pure
public boolean equals(Object object)
```
    Returns true if the Object t1 is of type Matrix2f and all of the data members of t1 are equal to the corresponding data members in this Matrix2f.
    
    Overrides:
    
    equals in class Object
    
    Parameters:
    
    object - the matrix with which the comparison is made
    
    Returns:
    
    true or false
  - hashCode
```
@Pure
public int hashCode()
```
    Returns a hash code value based on the data values in this object. Two different Matrix2f objects with identical data values (i.e., Matrix2f.equals returns true) will return the same hash code value. Two objects with different data members may return the same hash value, although this is not likely.
    
    Overrides:
    
    hashCode in class Object
    
    Returns:
    
    the integer hash code value
  - setZero
```
public final void setZero()
```
    Sets this matrix to all zeros.
  - setDiagonal
```
public final void setDiagonal(double m00,
                              double m11)
```
    Sets this matrix as diagonal.
    
    Parameters:
    
    m00 - the first element of the diagonal
    
    m11 - the second element of the diagonal
  - negate
```
public final void negate()
```
    Negates the value of this matrix: this = -this.
  - negate
```
public final void negate(Matrix2d matrix)
```
    Sets the value of this matrix equal to the negation of of the Matrix2f parameter.
    
    Parameters:
    
    matrix - the source matrix
  - clone
```
@Pure
public Matrix2d clone()
```
    Creates a new object of the same class as this object.
    
    Overrides:
    
    clone in class Object
    
    Returns:
    
    a clone of this instance.
    
    Throws:
    
    OutOfMemoryError - if there is not enough memory.
    
    See Also:
    
    Cloneable
  - getM00
```
@Pure
public final double getM00()
```
    Get the first matrix element in the first row.
    
    Returns:
    
    Returns the m00.
  - setM00
```
public final void setM00(double m00)
```
    Set the first matrix element in the first row.
    
    Parameters:
    
    m00 - The m00 to set.
  - getM01
```
@Pure
public final double getM01()
```
    Get the second matrix element in the first row.
    
    Returns:
    
    Returns the m01.
  - setM01
```
public final void setM01(double m01)
```
    Set the second matrix element in the first row.
    
    Parameters:
    
    m01 - The m01 to set.
  - getM10
```
@Pure
public final double getM10()
```
    Get first matrix element in the second row.
    
    Returns:
    
    Returns the m10.
  - setM10
```
public final void setM10(double m10)
```
    Set first matrix element in the second row.
    
    Parameters:
    
    m10 - The m10 to set.
  - getM11
```
@Pure
public final double getM11()
```
    Get second matrix element in the second row.
    
    Returns:
    
    Returns the m11.
  - setM11
```
public final void setM11(double m11)
```
    Set the second matrix element in the second row.
    
    Parameters:
    
    m11 - The m11 to set.
  - cov
```
public final boolean cov(Vector2D<?,?> result,
                         Vector2D<?,?>... tuples)
```
    Set this matrix with the covariance matrix's elements for the given set of tuples.
    
    Parameters:
    
    result - the mean of the tuples.
    
    tuples - the input tuples.
    
    Returns:
    
    true if the covariance matrix could be computed.
  - cov
```
public final boolean cov(Vector2D<?,?> result,
                         Point2D<?,?>... tuples)
```
    Set this matrix with the covariance matrix's elements for the given set of tuples.
    
    Parameters:
    
    result - the mean of the tuples.
    
    tuples - the input tuples.
    
    Returns:
    
    true if the covariance matrix could be computed.
  - cov
```
public boolean cov(Vector2D<?,?> result,
                   Iterable<? extends Tuple2D<?>> tuples)
```
    Set this matrix with the covariance matrix's elements for the given set of tuples.
    
    Parameters:
    
    result - the mean of the tuples.
    
    tuples - the input tuples.
    
    Returns:
    
    true if the covariance matrix could be computed.
  - isSymmetric
```
@Pure
public boolean isSymmetric()
```
    Replies if the matrix is symmetric.
    
    Returns:
    
    true if the matrix is symmetric, otherwise false
  - eigenVectorsOfSymmetricMatrix
```
public double[] eigenVectorsOfSymmetricMatrix(Matrix2d eigenVectors)
```
    Compute the eigenvectors of this matrix, assuming it is a symmetric matrix according to the Jacobi Cyclic Method.
    
    Parameters:
    
    eigenVectors - are the matrix of vectors to fill. Eigen vectors are the columns of the matrix.
    
    Returns:
    
    the eigenvalues which are corresponding to the eigenVectors columns.
    
    See Also:
    
    eigenVectorsOfSymmetricMatrix(Matrix2d)
  - isIdentity
```
@Pure
public boolean isIdentity()
```
    Replies if the matrix is identity.
    This function uses the equal-to-zero test with the error Math.ulp(double).
    
    Returns:
    
    true if the matrix is identity; false otherwise.
    
    See Also:
    
    MathUtil.isEpsilonZero(double), MathUtil.isEpsilonEqual(double, double)
  - operator_add
```
public void operator_add(Matrix2d matrix)
```
    Add the given matrix to this matrix: this += matrix.
    This function is an implementation of the operator for the languages that defined or based on the Xtext framework.
    
    Parameters:
    
    matrix - the matrix.
    
    See Also:
    
    add(Matrix2d)
  - operator_add
```
public void operator_add(double scalar)
```
    Add the given scalar to this matrix: this += scalar.
    This function is an implementation of the operator for the languages that defined or based on the Xtext framework.
    
    Parameters:
    
    scalar - the scalar.
    
    See Also:
    
    add(double)
  - operator_remove
```
public void operator_remove(Matrix2d matrix)
```
    Substract the given matrix to this matrix: this -= matrix.
    This function is an implementation of the operator for the languages that defined or based on the Xtext framework.
    
    Parameters:
    
    matrix - the matrix.
    
    See Also:
    
    sub(Matrix2d)
  - operator_remove
```
public void operator_remove(double scalar)
```
    Substract the given scalar to this matrix: this -= scalar.
    This function is an implementation of the operator for the languages that defined or based on the Xtext framework.
    
    Parameters:
    
    scalar - the scalar.
    
    See Also:
    
    add(double)
  - operator_plus
```
@Pure
public Matrix2d operator_plus(Matrix2d matrix)
```
    Replies the addition of the given matrix to this matrix: this + matrix.
    This function is an implementation of the operator for the languages that defined or based on the Xtext framework.
    
    Parameters:
    
    matrix - the matrix.
    
    Returns:
    
    the sum of the matrices.
    
    See Also:
    
    add(Matrix2d)
  - operator_plus
```
@Pure
public Matrix2d operator_plus(double scalar)
```
    Replies the addition of the given scalar to this matrix: this + scalar.
    This function is an implementation of the operator for the languages that defined or based on the Xtext framework.
    The operation scalar + this is supported by MatrixExtensions.operator_plus(double, Matrix2d).
    
    Parameters:
    
    scalar - the scalar.
    
    Returns:
    
    the sum of the matrix and the scalar.
    
    See Also:
    
    add(double), MatrixExtensions.operator_plus(double, Matrix2d)
  - operator_minus
```
@Pure
public Matrix2d operator_minus(Matrix2d matrix)
```
    Replies the substraction of the given matrix to this matrix: this + matrix.
    This function is an implementation of the operator for the languages that defined or based on the Xtext framework.
    
    Parameters:
    
    matrix - the matrix.
    
    Returns:
    
    the result of the substraction.
    
    See Also:
    
    sub(Matrix2d)
  - operator_minus
```
@Pure
public Matrix2d operator_minus(double scalar)
```
    Replies the substraction of the given scalar to this matrix: this - scalar.
    This function is an implementation of the operator for the languages that defined or based on the Xtext framework.
    The operation scalar - this is supported by MatrixExtensions.operator_minus(double, Matrix2d).
    
    Parameters:
    
    scalar - the scalar.
    
    Returns:
    
    the result of the substraction.
    
    See Also:
    
    add(double), MatrixExtensions.operator_minus(double, Matrix2d)
  - operator_minus
```
@Pure
public Matrix2d operator_minus()
```
    Replies the negation of this matrix: -this.
    This function is an implementation of the operator for the languages that defined or based on the Xtext framework.
    
    Returns:
    
    the negation of this matrix.
    
    See Also:
    
    negate()
  - operator_multiply
```
@Pure
public Matrix2d operator_multiply(Matrix2d matrix)
```
    Replies the multiplication of the given matrix and this matrix: this * matrix.
    This function is an implementation of the operator for the languages that defined or based on the Xtext framework.
    
    Parameters:
    
    matrix - the matrix.
    
    Returns:
    
    the multiplication of the matrices.
    
    See Also:
    
    mul(Matrix2d)
  - operator_multiply
```
@Pure
public Matrix2d operator_multiply(double scalar)
```
    Replies the multiplication of the given scalar and this matrix: this * scalar.
    This function is an implementation of the operator for the languages that defined or based on the Xtext framework.
    The operation scalar * this is supported by MatrixExtensions.operator_multiply(double, Matrix2d).
    
    Parameters:
    
    scalar - the scalar.
    
    Returns:
    
    the multiplication of the scalar and the matrix.
    
    See Also:
    
    mul(Matrix2d), MatrixExtensions.operator_multiply(double, Matrix2d)
  - operator_divide
```
@Pure
public Matrix2d operator_divide(double scalar)
```
    Replies the division of this matrix by the given scalar: this / scalar.
    This function is an implementation of the operator for the languages that defined or based on the Xtext framework.
    The operation this / scalar is supported by MatrixExtensions.operator_divide(double, Matrix2d).
    
    Parameters:
    
    scalar - the scalar.
    
    Returns:
    
    the division of the matrix by the scalar.
    
    See Also:
    
    mul(double), MatrixExtensions.operator_divide(double, Matrix2d)
  - operator_plusPlus
```
public void operator_plusPlus()
```
    Increment this matrix: this++.
    This function is an implementation of the operator for the languages that defined or based on the Xtext framework.
    
    See Also:
    
    add(double)
  - operator_moinsMoins
```
public void operator_moinsMoins()
```
    Increment this matrix: this--.
    This function is an implementation of the operator for the languages that defined or based on the Xtext framework.
    
    See Also:
    
    add(double)
  - operator_not
```
public Matrix2d operator_not()
```
    Replies the transposition of this matrix: !this.
    This function is an implementation of the operator for the languages that defined or based on the Xtext framework.
    
    Returns:
    
    the transpose
    
    See Also:
    
    add(double)
  - $plus
```
@Pure
public Matrix2d $plus(Matrix2d matrix)
```
    Replies the addition of the given matrix to this matrix: this + matrix.
    This function is an implementation of the operator for the Scala Language.
    
    Parameters:
    
    matrix - the matrix.
    
    Returns:
    
    the sum of the matrices.
    
    See Also:
    
    add(Matrix2d)
  - $plus
```
@Pure
public Matrix2d $plus(double scalar)
```
    Replies the addition of the given scalar to this matrix: this + scalar.
    This function is an implementation of the operator for the Scala Language.
    The operation scalar + this is supported by MatrixExtensions.$plus(double, Matrix2d).
    
    Parameters:
    
    scalar - the scalar.
    
    Returns:
    
    the sum of the matrix and the scalar.
    
    See Also:
    
    add(double), MatrixExtensions.$plus(double, Matrix2d)
  - $minus
```
@Pure
public Matrix2d $minus(Matrix2d matrix)
```
    Replies the substraction of the given matrix to this matrix: this + matrix.
    This function is an implementation of the operator for the Scala Language.
    
    Parameters:
    
    matrix - the matrix.
    
    Returns:
    
    the result of the substraction.
    
    See Also:
    
    sub(Matrix2d)
  - $minus
```
@Pure
public Matrix2d $minus(double scalar)
```
    Replies the substraction of the given scalar to this matrix: this - scalar.
    This function is an implementation of the operator for the Scala Language.
    The operation scalar - this is supported by MatrixExtensions.$minus(double, Matrix2d).
    
    Parameters:
    
    scalar - the scalar.
    
    Returns:
    
    the result of the substraction.
    
    See Also:
    
    add(double), MatrixExtensions.$minus(double, Matrix2d)
  - $minus
```
@Pure
public Matrix2d $minus()
```
    Replies the negation of this matrix: -this.
    This function is an implementation of the operator for the Scala Language.
    
    Returns:
    
    the negation of this matrix.
    
    See Also:
    
    negate()
  - $times
```
@Pure
public Matrix2d $times(Matrix2d matrix)
```
    Replies the multiplication of the given matrix and this matrix: this * matrix.
    This function is an implementation of the operator for the Scala Language.
    
    Parameters:
    
    matrix - the matrix.
    
    Returns:
    
    the multiplication of the matrices.
    
    See Also:
    
    mul(Matrix2d)
  - $times
```
@Pure
public Matrix2d $times(double scalar)
```
    Replies the multiplication of the given scalar and this matrix: this * scalar.
    This function is an implementation of the operator for the Scala Language.
    The operation scalar * this is supported by MatrixExtensions.$times(double, Matrix2d).
    
    Parameters:
    
    scalar - the scalar.
    
    Returns:
    
    the multiplication of the scalar and the matrix.
    
    See Also:
    
    mul(Matrix2d), MatrixExtensions.$times(double, Matrix2d)
  - $div
```
@Pure
public Matrix2d $div(double scalar)
```
    Replies the division of this matrix by the given scalar: this / scalar.
    This function is an implementation of the operator for the Scala Language.
    The operation this / scalar is supported by MatrixExtensions.$div(double, Matrix2d).
    
    Parameters:
    
    scalar - the scalar.
    
    Returns:
    
    the division of the matrix by the scalar.
    
    See Also:
    
    mul(double), MatrixExtensions.$div(double, Matrix2d)
  - $bang
```
public Matrix2d $bang()
```
    Replies the transposition of this matrix: !this.
    This function is an implementation of the operator for the Scala Language.
    
    Returns:
    
    the transpose
    
    See Also:
    
    add(double)

Class Matrix2d

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

m00

m01

m10

m11

isIdentity

Constructor Detail

Matrix2d

Matrix2d

Matrix2d

Matrix2d

Method Detail

toString

setIdentity

setElement

getElement

getRow

getRow

getColumn

getColumn

setRow

setRow

setRow

setColumn

setColumn

setColumn

add

add

add

add

sub

sub

transpose

transpose

set

set

set

determinant

mul

mul

mul

mul

mul

mulTransposeBoth

mulTransposeRight

mulTransposeLeft

normalizeCP

normalizeCP

equals

equals

hashCode

setZero

setDiagonal

negate

negate

clone

getM00

setM00

getM01

setM01

getM10

setM10

getM11

setM11

cov

cov

cov

isSymmetric

eigenVectorsOfSymmetricMatrix

isIdentity

operator_add

operator_add

operator_remove

operator_remove

operator_plus