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math_Matrix Class Reference

This class implements the real matrix abstract data type. Matrixes can have an arbitrary range which must be defined at the declaration and cannot be changed after this declaration math_Matrix(-3,5,2,4); //a vector with range [-3..5, 2..4] Matrix values may be initialized and retrieved using indexes which must lie within the range of definition of the matrix. Matrix objects follow "value semantics", that is, they cannot be shared and are copied through assignment Matrices are copied through assignement: math_Matrix M2(1, 9, 1, 3); ... M2 = M1; M1(1) = 2.0;//the matrix M2 will not be modified. More...

#include <math_Matrix.hxx>

Public Member Functions

 math_Matrix (const Standard_Integer LowerRow, const Standard_Integer UpperRow, const Standard_Integer LowerCol, const Standard_Integer UpperCol)
 Constructs a non-initialized matrix of range [LowerRow..UpperRow, LowerCol..UpperCol] For the constructed matrix: More...
 
 math_Matrix (const Standard_Integer LowerRow, const Standard_Integer UpperRow, const Standard_Integer LowerCol, const Standard_Integer UpperCol, const Standard_Real InitialValue)
 constructs a non-initialized matrix of range [LowerRow..UpperRow, LowerCol..UpperCol] whose values are all initialized with the value InitialValue. More...
 
 math_Matrix (const Standard_Address Tab, const Standard_Integer LowerRow, const Standard_Integer UpperRow, const Standard_Integer LowerCol, const Standard_Integer UpperCol)
 constructs a matrix of range [LowerRow..UpperRow, LowerCol..UpperCol] Sharing data with a "C array" pointed by Tab. More...
 
 math_Matrix (const math_Matrix &Other)
 constructs a matrix for copy in initialization. An exception is raised if the matrixes have not the same dimensions. More...
 
void Init (const Standard_Real InitialValue)
 Initialize all the elements of a matrix to InitialValue. More...
 
Standard_Integer RowNumber () const
 Returns the number of rows of this matrix. Note that for a matrix A you always have the following relations: More...
 
Standard_Integer ColNumber () const
 Returns the number of rows of this matrix. Note that for a matrix A you always have the following relations: More...
 
Standard_Integer LowerRow () const
 Returns the value of the Lower index of the row range of a matrix. More...
 
Standard_Integer UpperRow () const
 Returns the Upper index of the row range of a matrix. More...
 
Standard_Integer LowerCol () const
 Returns the value of the Lower index of the column range of a matrix. More...
 
Standard_Integer UpperCol () const
 Returns the value of the upper index of the column range of a matrix. More...
 
Standard_Real Determinant () const
 Computes the determinant of a matrix. An exception is raised if the matrix is not a square matrix. More...
 
void Transpose ()
 Transposes a given matrix. An exception is raised if the matrix is not a square matrix. More...
 
void Invert ()
 Inverts a matrix using Gauss algorithm. Exception NotSquare is raised if the matrix is not square. Exception SingularMatrix is raised if the matrix is singular. More...
 
void Multiply (const Standard_Real Right)
 Sets this matrix to the product of the matrix Left, and the matrix Right. Example math_Matrix A (1, 3, 1, 3); math_Matrix B (1, 3, 1, 3); // A = ... , B = ... math_Matrix C (1, 3, 1, 3); C.Multiply(A, B); Exceptions Standard_DimensionError if matrices are of incompatible dimensions, i.e. if: More...
 
void operator*= (const Standard_Real Right)
 
math_Matrix Multiplied (const Standard_Real Right) const
 multiplies all the elements of a matrix by the value <Right>. More...
 
math_Matrix operator* (const Standard_Real Right) const
 
math_Matrix TMultiplied (const Standard_Real Right) const
 Sets this matrix to the product of the transposed matrix TLeft, and the matrix Right. Example math_Matrix A (1, 3, 1, 3); math_Matrix B (1, 3, 1, 3); // A = ... , B = ... math_Matrix C (1, 3, 1, 3); C.Multiply(A, B); Exceptions Standard_DimensionError if matrices are of incompatible dimensions, i.e. if: More...
 
void Divide (const Standard_Real Right)
 divides all the elements of a matrix by the value <Right>. An exception is raised if <Right> = 0. More...
 
void operator/= (const Standard_Real Right)
 
math_Matrix Divided (const Standard_Real Right) const
 divides all the elements of a matrix by the value <Right>. An exception is raised if <Right> = 0. More...
 
math_Matrix operator/ (const Standard_Real Right) const
 
void Add (const math_Matrix &Right)
 adds the matrix <Right> to a matrix. An exception is raised if the dimensions are different. Warning In order to save time when copying matrices, it is preferable to use operator += or the function Add whenever possible. More...
 
void operator+= (const math_Matrix &Right)
 
math_Matrix Added (const math_Matrix &Right) const
 adds the matrix <Right> to a matrix. An exception is raised if the dimensions are different. More...
 
math_Matrix operator+ (const math_Matrix &Right) const
 
void Add (const math_Matrix &Left, const math_Matrix &Right)
 sets a matrix to the addition of <Left> and <Right>. An exception is raised if the dimensions are different. More...
 
void Subtract (const math_Matrix &Right)
 Subtracts the matrix <Right> from <me>. An exception is raised if the dimensions are different. Warning In order to avoid time-consuming copying of matrices, it is preferable to use operator -= or the function Subtract whenever possible. More...
 
void operator-= (const math_Matrix &Right)
 
math_Matrix Subtracted (const math_Matrix &Right) const
 Returns the result of the subtraction of <Right> from <me>. An exception is raised if the dimensions are different. More...
 
math_Matrix operator- (const math_Matrix &Right) const
 
void Set (const Standard_Integer I1, const Standard_Integer I2, const Standard_Integer J1, const Standard_Integer J2, const math_Matrix &M)
 Sets the values of this matrix,. More...
 
void SetRow (const Standard_Integer Row, const math_Vector &V)
 Sets the row of index Row of a matrix to the vector <V>. An exception is raised if the dimensions are different. An exception is raises if <Row> is inferior to the lower row of the matrix or <Row> is superior to the upper row. More...
 
void SetCol (const Standard_Integer Col, const math_Vector &V)
 Sets the column of index Col of a matrix to the vector <V>. An exception is raised if the dimensions are different. An exception is raises if <Col> is inferior to the lower column of the matrix or <Col> is superior to the upper column. More...
 
void SetDiag (const Standard_Real Value)
 Sets the diagonal of a matrix to the value . An exception is raised if the matrix is not square. More...
 
math_Vector Row (const Standard_Integer Row) const
 Returns the row of index Row of a matrix. More...
 
math_Vector Col (const Standard_Integer Col) const
 Returns the column of index <Col> of a matrix. More...
 
void SwapRow (const Standard_Integer Row1, const Standard_Integer Row2)
 Swaps the rows of index Row1 and Row2. An exception is raised if <Row1> or <Row2> is out of range. More...
 
void SwapCol (const Standard_Integer Col1, const Standard_Integer Col2)
 Swaps the columns of index <Col1> and <Col2>. An exception is raised if <Col1> or <Col2> is out of range. More...
 
math_Matrix Transposed () const
 Teturns the transposed of a matrix. An exception is raised if the matrix is not a square matrix. More...
 
math_Matrix Inverse () const
 Returns the inverse of a matrix. Exception NotSquare is raised if the matrix is not square. Exception SingularMatrix is raised if the matrix is singular. More...
 
math_Matrix TMultiply (const math_Matrix &Right) const
 Returns the product of the transpose of a matrix with the matrix <Right>. An exception is raised if the dimensions are different. More...
 
void Multiply (const math_Vector &Left, const math_Vector &Right)
 Computes a matrix as the product of 2 vectors. An exception is raised if the dimensions are different. <me> = <Left> * <Right>. More...
 
void Multiply (const math_Matrix &Left, const math_Matrix &Right)
 Computes a matrix as the product of 2 matrixes. An exception is raised if the dimensions are different. More...
 
void TMultiply (const math_Matrix &TLeft, const math_Matrix &Right)
 Computes a matrix to the product of the transpose of the matrix <TLeft> with the matrix <Right>. An exception is raised if the dimensions are different. More...
 
void Subtract (const math_Matrix &Left, const math_Matrix &Right)
 Sets a matrix to the Subtraction of the matrix <Right> from the matrix <Left>. An exception is raised if the dimensions are different. More...
 
Standard_RealValue (const Standard_Integer Row, const Standard_Integer Col) const
 Accesses (in read or write mode) the value of index <Row> and <Col> of a matrix. An exception is raised if <Row> and <Col> are not in the correct range. More...
 
Standard_Realoperator() (const Standard_Integer Row, const Standard_Integer Col) const
 
math_MatrixInitialized (const math_Matrix &Other)
 Matrixes are copied through assignement. An exception is raised if the dimensions are differents. More...
 
math_Matrixoperator= (const math_Matrix &Other)
 
void Multiply (const math_Matrix &Right)
 Returns the product of 2 matrices. An exception is raised if the dimensions are different. More...
 
void operator*= (const math_Matrix &Right)
 
math_Matrix Multiplied (const math_Matrix &Right) const
 Returns the product of 2 matrices. An exception is raised if the dimensions are different. More...
 
math_Matrix operator* (const math_Matrix &Right) const
 
math_Vector Multiplied (const math_Vector &Right) const
 Returns the product of a matrix by a vector. An exception is raised if the dimensions are different. More...
 
math_Vector operator* (const math_Vector &Right) const
 
math_Matrix Opposite ()
 Returns the opposite of a matrix. An exception is raised if the dimensions are different. More...
 
math_Matrix operator- ()
 
void Dump (Standard_OStream &o) const
 Prints information on the current state of the object. Is used to redefine the operator <<. More...
 

Protected Member Functions

void SetLowerRow (const Standard_Integer LowerRow)
 The new lower row of the matrix is set to <LowerRow> More...
 
void SetLowerCol (const Standard_Integer LowerCol)
 The new lower column of the matrix is set to the column of range <LowerCol>. More...
 
void SetLower (const Standard_Integer LowerRow, const Standard_Integer LowerCol)
 The new lower row of the matrix is set to <LowerRow> and the new lower column of the matrix is set to the column of range <LowerCol>. More...
 

Friends

math_Matrix operator* (const Standard_Real Left, const math_Matrix &Right)
 

Detailed Description

This class implements the real matrix abstract data type. Matrixes can have an arbitrary range which must be defined at the declaration and cannot be changed after this declaration math_Matrix(-3,5,2,4); //a vector with range [-3..5, 2..4] Matrix values may be initialized and retrieved using indexes which must lie within the range of definition of the matrix. Matrix objects follow "value semantics", that is, they cannot be shared and are copied through assignment Matrices are copied through assignement: math_Matrix M2(1, 9, 1, 3); ... M2 = M1; M1(1) = 2.0;//the matrix M2 will not be modified.

The exception RangeError is raised when trying to access outside the range of a matrix : M1(11, 1)=0.0// –> will raise RangeError.

The exception DimensionError is raised when the dimensions of two matrices or vectors are not compatible. math_Matrix M3(1, 2, 1, 2); M3 = M1; // will raise DimensionError M1.Add(M3) // –> will raise DimensionError. A Matrix can be constructed with a a pointer to "c array". It allows to carry the bounds inside the matrix. Exemple : Standard_Real tab1[10][20]; Standard_Real tab2[200];

math_Matrix A (tab1[0][0], 1, 10, 1, 20); math_Matrix B (tab2[0], 1, 10, 1, 20);

Constructor & Destructor Documentation

math_Matrix::math_Matrix ( const Standard_Integer  LowerRow,
const Standard_Integer  UpperRow,
const Standard_Integer  LowerCol,
const Standard_Integer  UpperCol 
)

Constructs a non-initialized matrix of range [LowerRow..UpperRow, LowerCol..UpperCol] For the constructed matrix:

  • LowerRow and UpperRow are the indexes of the lower and upper bounds of a row, and
  • LowerCol and UpperCol are the indexes of the lower and upper bounds of a column.
math_Matrix::math_Matrix ( const Standard_Integer  LowerRow,
const Standard_Integer  UpperRow,
const Standard_Integer  LowerCol,
const Standard_Integer  UpperCol,
const Standard_Real  InitialValue 
)

constructs a non-initialized matrix of range [LowerRow..UpperRow, LowerCol..UpperCol] whose values are all initialized with the value InitialValue.

math_Matrix::math_Matrix ( const Standard_Address  Tab,
const Standard_Integer  LowerRow,
const Standard_Integer  UpperRow,
const Standard_Integer  LowerCol,
const Standard_Integer  UpperCol 
)

constructs a matrix of range [LowerRow..UpperRow, LowerCol..UpperCol] Sharing data with a "C array" pointed by Tab.

math_Matrix::math_Matrix ( const math_Matrix Other)

constructs a matrix for copy in initialization. An exception is raised if the matrixes have not the same dimensions.

Member Function Documentation

void math_Matrix::Add ( const math_Matrix Right)

adds the matrix <Right> to a matrix. An exception is raised if the dimensions are different. Warning In order to save time when copying matrices, it is preferable to use operator += or the function Add whenever possible.

void math_Matrix::Add ( const math_Matrix Left,
const math_Matrix Right 
)

sets a matrix to the addition of <Left> and <Right>. An exception is raised if the dimensions are different.

math_Matrix math_Matrix::Added ( const math_Matrix Right) const

adds the matrix <Right> to a matrix. An exception is raised if the dimensions are different.

math_Vector math_Matrix::Col ( const Standard_Integer  Col) const

Returns the column of index <Col> of a matrix.

Standard_Integer math_Matrix::ColNumber ( ) const

Returns the number of rows of this matrix. Note that for a matrix A you always have the following relations:

  • A.RowNumber() = A.UpperRow() - A.LowerRow() + 1
  • A.ColNumber() = A.UpperCol() - A.LowerCol() + 1
  • the length of a row of A is equal to the number of columns of A,
  • the length of a column of A is equal to the number of rows of A.returns the row range of a matrix.
Standard_Real math_Matrix::Determinant ( ) const

Computes the determinant of a matrix. An exception is raised if the matrix is not a square matrix.

void math_Matrix::Divide ( const Standard_Real  Right)

divides all the elements of a matrix by the value <Right>. An exception is raised if <Right> = 0.

math_Matrix math_Matrix::Divided ( const Standard_Real  Right) const

divides all the elements of a matrix by the value <Right>. An exception is raised if <Right> = 0.

void math_Matrix::Dump ( Standard_OStream o) const

Prints information on the current state of the object. Is used to redefine the operator <<.

void math_Matrix::Init ( const Standard_Real  InitialValue)

Initialize all the elements of a matrix to InitialValue.

math_Matrix& math_Matrix::Initialized ( const math_Matrix Other)

Matrixes are copied through assignement. An exception is raised if the dimensions are differents.

math_Matrix math_Matrix::Inverse ( ) const

Returns the inverse of a matrix. Exception NotSquare is raised if the matrix is not square. Exception SingularMatrix is raised if the matrix is singular.

void math_Matrix::Invert ( )

Inverts a matrix using Gauss algorithm. Exception NotSquare is raised if the matrix is not square. Exception SingularMatrix is raised if the matrix is singular.

Standard_Integer math_Matrix::LowerCol ( ) const

Returns the value of the Lower index of the column range of a matrix.

Standard_Integer math_Matrix::LowerRow ( ) const

Returns the value of the Lower index of the row range of a matrix.

math_Matrix math_Matrix::Multiplied ( const Standard_Real  Right) const

multiplies all the elements of a matrix by the value <Right>.

math_Matrix math_Matrix::Multiplied ( const math_Matrix Right) const

Returns the product of 2 matrices. An exception is raised if the dimensions are different.

math_Vector math_Matrix::Multiplied ( const math_Vector Right) const

Returns the product of a matrix by a vector. An exception is raised if the dimensions are different.

void math_Matrix::Multiply ( const Standard_Real  Right)

Sets this matrix to the product of the matrix Left, and the matrix Right. Example math_Matrix A (1, 3, 1, 3); math_Matrix B (1, 3, 1, 3); // A = ... , B = ... math_Matrix C (1, 3, 1, 3); C.Multiply(A, B); Exceptions Standard_DimensionError if matrices are of incompatible dimensions, i.e. if:

  • the number of columns of matrix Left, or the number of rows of matrix TLeft is not equal to the number of rows of matrix Right, or
  • the number of rows of matrix Left, or the number of columns of matrix TLeft is not equal to the number of rows of this matrix, or
  • the number of columns of matrix Right is not equal to the number of columns of this matrix.
void math_Matrix::Multiply ( const math_Vector Left,
const math_Vector Right 
)

Computes a matrix as the product of 2 vectors. An exception is raised if the dimensions are different. <me> = <Left> * <Right>.

void math_Matrix::Multiply ( const math_Matrix Left,
const math_Matrix Right 
)

Computes a matrix as the product of 2 matrixes. An exception is raised if the dimensions are different.

void math_Matrix::Multiply ( const math_Matrix Right)

Returns the product of 2 matrices. An exception is raised if the dimensions are different.

Standard_Real& math_Matrix::operator() ( const Standard_Integer  Row,
const Standard_Integer  Col 
) const
inline
math_Matrix math_Matrix::operator* ( const Standard_Real  Right) const
inline
math_Matrix math_Matrix::operator* ( const math_Matrix Right) const
inline
math_Vector math_Matrix::operator* ( const math_Vector Right) const
inline
void math_Matrix::operator*= ( const Standard_Real  Right)
inline
void math_Matrix::operator*= ( const math_Matrix Right)
inline
math_Matrix math_Matrix::operator+ ( const math_Matrix Right) const
inline
void math_Matrix::operator+= ( const math_Matrix Right)
inline
math_Matrix math_Matrix::operator- ( const math_Matrix Right) const
inline
math_Matrix math_Matrix::operator- ( )
inline
void math_Matrix::operator-= ( const math_Matrix Right)
inline
math_Matrix math_Matrix::operator/ ( const Standard_Real  Right) const
inline
void math_Matrix::operator/= ( const Standard_Real  Right)
inline
math_Matrix& math_Matrix::operator= ( const math_Matrix Other)
inline
math_Matrix math_Matrix::Opposite ( )

Returns the opposite of a matrix. An exception is raised if the dimensions are different.

math_Vector math_Matrix::Row ( const Standard_Integer  Row) const

Returns the row of index Row of a matrix.

Standard_Integer math_Matrix::RowNumber ( ) const

Returns the number of rows of this matrix. Note that for a matrix A you always have the following relations:

  • A.RowNumber() = A.UpperRow() - A.LowerRow() + 1
  • A.ColNumber() = A.UpperCol() - A.LowerCol() + 1
  • the length of a row of A is equal to the number of columns of A,
  • the length of a column of A is equal to the number of rows of A.returns the row range of a matrix.
void math_Matrix::Set ( const Standard_Integer  I1,
const Standard_Integer  I2,
const Standard_Integer  J1,
const Standard_Integer  J2,
const math_Matrix M 
)

Sets the values of this matrix,.

  • from index I1 to index I2 on the row dimension, and
  • from index J1 to index J2 on the column dimension, to those of matrix M. Exceptions Standard_DimensionError if:
  • I1 is less than the index of the lower row bound of this matrix, or
  • I2 is greater than the index of the upper row bound of this matrix, or
  • J1 is less than the index of the lower column bound of this matrix, or
  • J2 is greater than the index of the upper column bound of this matrix, or
  • I2 - I1 + 1 is not equal to the number of rows of matrix M, or
  • J2 - J1 + 1 is not equal to the number of columns of matrix M.
void math_Matrix::SetCol ( const Standard_Integer  Col,
const math_Vector V 
)

Sets the column of index Col of a matrix to the vector <V>. An exception is raised if the dimensions are different. An exception is raises if <Col> is inferior to the lower column of the matrix or <Col> is superior to the upper column.

void math_Matrix::SetDiag ( const Standard_Real  Value)

Sets the diagonal of a matrix to the value . An exception is raised if the matrix is not square.

void math_Matrix::SetLower ( const Standard_Integer  LowerRow,
const Standard_Integer  LowerCol 
)
protected

The new lower row of the matrix is set to <LowerRow> and the new lower column of the matrix is set to the column of range <LowerCol>.

void math_Matrix::SetLowerCol ( const Standard_Integer  LowerCol)
protected

The new lower column of the matrix is set to the column of range <LowerCol>.

void math_Matrix::SetLowerRow ( const Standard_Integer  LowerRow)
protected

The new lower row of the matrix is set to <LowerRow>

void math_Matrix::SetRow ( const Standard_Integer  Row,
const math_Vector V 
)

Sets the row of index Row of a matrix to the vector <V>. An exception is raised if the dimensions are different. An exception is raises if <Row> is inferior to the lower row of the matrix or <Row> is superior to the upper row.

void math_Matrix::Subtract ( const math_Matrix Right)

Subtracts the matrix <Right> from <me>. An exception is raised if the dimensions are different. Warning In order to avoid time-consuming copying of matrices, it is preferable to use operator -= or the function Subtract whenever possible.

void math_Matrix::Subtract ( const math_Matrix Left,
const math_Matrix Right 
)

Sets a matrix to the Subtraction of the matrix <Right> from the matrix <Left>. An exception is raised if the dimensions are different.

math_Matrix math_Matrix::Subtracted ( const math_Matrix Right) const

Returns the result of the subtraction of <Right> from <me>. An exception is raised if the dimensions are different.

void math_Matrix::SwapCol ( const Standard_Integer  Col1,
const Standard_Integer  Col2 
)

Swaps the columns of index <Col1> and <Col2>. An exception is raised if <Col1> or <Col2> is out of range.

void math_Matrix::SwapRow ( const Standard_Integer  Row1,
const Standard_Integer  Row2 
)

Swaps the rows of index Row1 and Row2. An exception is raised if <Row1> or <Row2> is out of range.

math_Matrix math_Matrix::TMultiplied ( const Standard_Real  Right) const

Sets this matrix to the product of the transposed matrix TLeft, and the matrix Right. Example math_Matrix A (1, 3, 1, 3); math_Matrix B (1, 3, 1, 3); // A = ... , B = ... math_Matrix C (1, 3, 1, 3); C.Multiply(A, B); Exceptions Standard_DimensionError if matrices are of incompatible dimensions, i.e. if:

  • the number of columns of matrix Left, or the number of rows of matrix TLeft is not equal to the number of rows of matrix Right, or
  • the number of rows of matrix Left, or the number of columns of matrix TLeft is not equal to the number of rows of this matrix, or
  • the number of columns of matrix Right is not equal to the number of columns of this matrix.
math_Matrix math_Matrix::TMultiply ( const math_Matrix Right) const

Returns the product of the transpose of a matrix with the matrix <Right>. An exception is raised if the dimensions are different.

void math_Matrix::TMultiply ( const math_Matrix TLeft,
const math_Matrix Right 
)

Computes a matrix to the product of the transpose of the matrix <TLeft> with the matrix <Right>. An exception is raised if the dimensions are different.

void math_Matrix::Transpose ( )

Transposes a given matrix. An exception is raised if the matrix is not a square matrix.

math_Matrix math_Matrix::Transposed ( ) const

Teturns the transposed of a matrix. An exception is raised if the matrix is not a square matrix.

Standard_Integer math_Matrix::UpperCol ( ) const

Returns the value of the upper index of the column range of a matrix.

Standard_Integer math_Matrix::UpperRow ( ) const

Returns the Upper index of the row range of a matrix.

Standard_Real& math_Matrix::Value ( const Standard_Integer  Row,
const Standard_Integer  Col 
) const

Accesses (in read or write mode) the value of index <Row> and <Col> of a matrix. An exception is raised if <Row> and <Col> are not in the correct range.

Friends And Related Function Documentation

math_Matrix operator* ( const Standard_Real  Left,
const math_Matrix Right 
)
friend

The documentation for this class was generated from the following file: