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 assignment:
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| 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...
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| 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...
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| 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...
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| 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...
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void | Init (const Standard_Real InitialValue) |
| Initialize all the elements of a matrix to InitialValue. More...
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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...
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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...
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Standard_Integer | LowerRow () const |
| Returns the value of the Lower index of the row range of a matrix. More...
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Standard_Integer | UpperRow () const |
| Returns the Upper index of the row range of a matrix. More...
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Standard_Integer | LowerCol () const |
| Returns the value of the Lower index of the column range of a matrix. More...
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Standard_Integer | UpperCol () const |
| Returns the value of the upper index of the column range of a matrix. More...
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Standard_Real | Determinant () const |
| Computes the determinant of a matrix. An exception is raised if the matrix is not a square matrix. More...
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void | Transpose () |
| Transposes a given matrix. An exception is raised if the matrix is not a square matrix. More...
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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...
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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...
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void | operator*= (const Standard_Real Right) |
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math_Matrix | Multiplied (const Standard_Real Right) const |
| multiplies all the elements of a matrix by the value <Right>. More...
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math_Matrix | operator* (const Standard_Real Right) const |
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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...
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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...
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void | operator/= (const Standard_Real Right) |
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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...
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math_Matrix | operator/ (const Standard_Real Right) const |
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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...
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void | operator+= (const math_Matrix &Right) |
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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...
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math_Matrix | operator+ (const math_Matrix &Right) const |
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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...
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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...
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void | operator-= (const math_Matrix &Right) |
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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...
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math_Matrix | operator- (const math_Matrix &Right) const |
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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...
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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...
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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...
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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...
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math_Vector | Row (const Standard_Integer Row) const |
| Returns the row of index Row of a matrix. More...
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math_Vector | Col (const Standard_Integer Col) const |
| Returns the column of index <Col> of a matrix. More...
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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...
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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...
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math_Matrix | Transposed () const |
| Teturns the transposed of a matrix. An exception is raised if the matrix is not a square matrix. More...
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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...
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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...
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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...
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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...
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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...
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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...
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Standard_Real & | 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. More...
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Standard_Real & | operator() (const Standard_Integer Row, const Standard_Integer Col) const |
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math_Matrix & | Initialized (const math_Matrix &Other) |
| Matrixes are copied through assignment. An exception is raised if the dimensions are different. More...
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math_Matrix & | operator= (const math_Matrix &Other) |
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void | Multiply (const math_Matrix &Right) |
| Returns the product of 2 matrices. An exception is raised if the dimensions are different. More...
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void | operator*= (const math_Matrix &Right) |
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math_Matrix | Multiplied (const math_Matrix &Right) const |
| Returns the product of 2 matrices. An exception is raised if the dimensions are different. More...
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math_Matrix | operator* (const math_Matrix &Right) const |
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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...
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math_Vector | operator* (const math_Vector &Right) const |
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math_Matrix | Opposite () |
| Returns the opposite of a matrix. An exception is raised if the dimensions are different. More...
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math_Matrix | operator- () |
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void | Dump (Standard_OStream &o) const |
| Prints information on the current state of the object. Is used to redefine the operator <<. More...
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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 assignment:
The exception RangeError is raised when trying to access outside the range of a matrix :
The exception DimensionError is raised when the dimensions of two matrices or vectors are not compatible.
A Matrix can be constructed with a pointer to "c array". It allows to carry the bounds inside the matrix. Example :