Symmetric Matrix

Symmetric Matrix

Description

The templated class symmetric_matrix<T, F1, F2, A> is the base container adaptor for symmetric matrices. For a (n x n )-dimensional symmetric matrix and 0 <= i < n, 0 <= j < n holds si, j = sj, i. The storage of symmetric matrices is packed.

Example

#include <boost/numeric/ublas/symmetric.hpp>
#include <boost/numeric/ublas/io.hpp>

int main () {
    using namespace boost::numeric::ublas;
    symmetric_matrix<double, lower> ml (3, 3);
    for (unsigned i = 0; i < ml.size1 (); ++ i)
        for (unsigned j = 0; j <= i; ++ j)
            ml (i, j) = 3 * i + j;
    std::cout << ml << std::endl;
    symmetric_matrix<double, upper> mu (3, 3);
    for (unsigned i = 0; i < mu.size1 (); ++ i)
        for (unsigned j = i; j < mu.size2 (); ++ j)
            mu (i, j) = 3 * i + j;
    std::cout << mu << std::endl;
}

Definition

Defined in the header symmetric.hpp.

Template parameters

Parameter Description Default
T The type of object stored in the matrix.
F1 Functor describing the type of the symmetric matrix. [1] lower
F2 Functor describing the storage organization. [2] row_major
A The type of the adapted array. [3] unbounded_array<T>

Model of

Matrix .

Type requirements

None, except for those imposed by the requirements of Matrix .

Public base classes

matrix_container<symmetric_matrix<T, F1, F2, A> >

Members

Member Description
symmetric_matrix (size_type size) Allocates an uninitialized symmetric_matrix that holds size rows of size elements.
symmetric_matrix (const symmetric_matrix &m) The copy constructor.
template<class AE>
symmetric_matrix (const matrix_expression<AE> &ae)
The extended copy constructor.
void resize (size_type size, bool preserve = true) Reallocates a symmetric_matrix to hold size rows of size elements. The existing elements of the symmetric_matrix are preseved when specified.
size_type size1 () const Returns the number of rows.
size_type size2 () const Returns the number of columns.
const_reference operator () (size_type i, size_type j) const Returns a const reference of the j -th element in the i-th row.
reference operator () (size_type i, size_type j) Returns a reference of the j-th element in the i-th row.
symmetric_matrix &operator = (const symmetric_matrix &m) The assignment operator.
symmetric_matrix &assign_temporary (symmetric_matrix &m) Assigns a temporary. May change the symmetric matrix m .
template<class AE>
symmetric_matrix &operator = (const matrix_expression<AE> &ae)
The extended assignment operator.
template<class AE>
symmetric_matrix &assign (const matrix_expression<AE> &ae)
Assigns a matrix expression to the symmetric matrix. Left and right hand side of the assignment should be independent.
template<class AE>
symmetric_matrix &operator += (const matrix_expression<AE> &ae)
A computed assignment operator. Adds the matrix expression to the symmetric matrix.
template<class AE>
symmetric_matrix &plus_assign (const matrix_expression<AE> &ae)
Adds a matrix expression to the symmetric matrix. Left and right hand side of the assignment should be independent.
template<class AE>
symmetric_matrix &operator -= (const matrix_expression<AE> &ae)
A computed assignment operator. Subtracts the matrix expression from the symmetric matrix.
template<class AE>
symmetric_matrix &minus_assign (const matrix_expression<AE> &ae)
Subtracts a matrix expression from the symmetric matrix. Left and right hand side of the assignment should be independent.
template<class AT>
symmetric_matrix &operator *= (const AT &at)
A computed assignment operator. Multiplies the symmetric matrix with a scalar.
template<class AT>
symmetric_matrix &operator /= (const AT &at)
A computed assignment operator. Divides the symmetric matrix through a scalar.
void swap (symmetric_matrix &m) Swaps the contents of the symmetric matrices.
void insert (size_type i, size_type j, const_reference t) Inserts the value t at the j-th element of the i-th row.
void erase (size_type i, size_type j) Erases the value at the j-th elemenst of the i-th row.
void clear () Clears the matrix.
const_iterator1 begin1 () const Returns a const_iterator1 pointing to the beginning of the symmetric_matrix.
const_iterator1 end1 () const Returns a const_iterator1 pointing to the end of the symmetric_matrix.
iterator1 begin1 () Returns a iterator1 pointing to the beginning of the symmetric_matrix.
iterator1 end1 () Returns a iterator1 pointing to the end of the symmetric_matrix.
const_iterator2 begin2 () const Returns a const_iterator2 pointing to the beginning of the symmetric_matrix.
const_iterator2 end2 () const Returns a const_iterator2 pointing to the end of the symmetric_matrix.
iterator2 begin2 () Returns a iterator2 pointing to the beginning of the symmetric_matrix.
iterator2 end2 () Returns a iterator2 pointing to the end of the symmetric_matrix.
const_reverse_iterator1 rbegin1 () const Returns a const_reverse_iterator1 pointing to the beginning of the reversed symmetric_matrix.
const_reverse_iterator1 rend1 () const Returns a const_reverse_iterator1 pointing to the end of the reversed symmetric_matrix.
reverse_iterator1 rbegin1 () Returns a reverse_iterator1 pointing to the beginning of the reversed symmetric_matrix.
reverse_iterator1 rend1 () Returns a reverse_iterator1 pointing to the end of the reversed symmetric_matrix.
const_reverse_iterator2 rbegin2 () const Returns a const_reverse_iterator2 pointing to the beginning of the reversed symmetric_matrix.
const_reverse_iterator2 rend2 () const Returns a const_reverse_iterator2 pointing to the end of the reversed symmetric_matrix.
reverse_iterator2 rbegin2 () Returns a reverse_iterator2 pointing to the beginning of the reversed symmetric_matrix.
reverse_iterator2 rend2 () Returns a reverse_iterator2 pointing to the end of the reversed symmetric_matrix.

Notes

[1] Supported parameters for the type of the symmetric matrix are lower and upper.

[2] Supported parameters for the storage organization are row_major and column_major.

[3] Supported parameters for the adapted array are unbounded_array<T> , bounded_array<T> and std::vector<T> .

Symmetric Adaptor

Description

The templated class symmetric_adaptor<M, F> is a symmetric matrix adaptor for other matrices.

Example

#include <boost/numeric/ublas/symmetric.hpp>
#include <boost/numeric/ublas/io.hpp>

int main () {
    using namespace boost::numeric::ublas;
    matrix<double> m (3, 3);
    symmetric_adaptor<matrix<double>, lower> sal (m);
    for (unsigned i = 0; i < sal.size1 (); ++ i)
        for (unsigned j = 0; j <= i; ++ j)
            sal (i, j) = 3 * i + j;
    std::cout << sal << std::endl;
    symmetric_adaptor<matrix<double>, upper> sau (m);
    for (unsigned i = 0; i < sau.size1 (); ++ i)
        for (unsigned j = i; j < sau.size2 (); ++ j)
            sau (i, j) = 3 * i + j;
    std::cout << sau << std::endl;
}

Definition

Defined in the header symmetric.hpp.

Template parameters

Parameter Description Default
M The type of the adapted matrix.
F Functor describing the type of the symmetric adaptor. [1] lower

Model of

Matrix Expression .

Type requirements

None, except for those imposed by the requirements of Matrix Expression .

Public base classes

matrix_expression<symmetric_adaptor<M, F> >

Members

Member Description
symmetric_adaptor () Constructs a symmetric_adaptor that holds zero rows of zero elements.
symmetric_adaptor (matrix_type &data) Constructs a symmetric_adaptor of a matrix.
symmetric_adaptor (const symmetric_adaptor &m) The copy constructor.
template<class AE>
symmetric_adaptor (const matrix_expression<AE> &ae)
The extended copy constructor.
size_type size1 () const Returns the number of rows.
size_type size2 () const Returns the number of columns.
const_reference operator () (size_type i, size_type j) const Returns a const reference of the j -th element in the i-th row.
reference operator () (size_type i, size_type j) Returns a reference of the j-th element in the i-th row.
symmetric_adaptor &operator = (const symmetric_adaptor &m) The assignment operator.
symmetric_adaptor &assign_temporary (symmetric_adaptor &m) Assigns a temporary. May change the symmetric adaptor m.
template<class AE>
symmetric_adaptor &operator = (const matrix_expression<AE> &ae)
The extended assignment operator.
template<class AE>
symmetric_adaptor &assign (const matrix_expression<AE> &ae)
Assigns a matrix expression to the symmetric adaptor. Left and right hand side of the assignment should be independent.
template<class AE>
symmetric_adaptor &operator += (const matrix_expression<AE> &ae)
A computed assignment operator. Adds the matrix expression to the symmetric adaptor.
template<class AE>
symmetric_adaptor &plus_assign (const matrix_expression<AE> &ae)
Adds a matrix expression to the symmetric adaptor. Left and right hand side of the assignment should be independent.
template<class AE>
symmetric_adaptor &operator -= (const matrix_expression<AE> &ae)
A computed assignment operator. Subtracts the matrix expression from the symmetric adaptor.
template<class AE>
symmetric_adaptor &minus_assign (const matrix_expression<AE> &ae)
Subtracts a matrix expression from the symmetric adaptor. Left and right hand side of the assignment should be independent.
template<class AT>
symmetric_adaptor &operator *= (const AT &at)
A computed assignment operator. Multiplies the symmetric adaptor with a scalar.
template<class AT>
symmetric_adaptor &operator /= (const AT &at)
A computed assignment operator. Divides the symmetric adaptor through a scalar.
void swap (symmetric_adaptor &m) Swaps the contents of the symmetric adaptors.
const_iterator1 begin1 () const Returns a const_iterator1 pointing to the beginning of the symmetric_adaptor.
const_iterator1 end1 () const Returns a const_iterator1 pointing to the end of the symmetric_adaptor.
iterator1 begin1 () Returns a iterator1 pointing to the beginning of the symmetric_adaptor.
iterator1 end1 () Returns a iterator1 pointing to the end of the symmetric_adaptor.
const_iterator2 begin2 () const Returns a const_iterator2 pointing to the beginning of the symmetric_adaptor.
const_iterator2 end2 () const Returns a const_iterator2 pointing to the end of the symmetric_adaptor.
iterator2 begin2 () Returns a iterator2 pointing to the beginning of the symmetric_adaptor.
iterator2 end2 () Returns a iterator2 pointing to the end of the symmetric_adaptor.
const_reverse_iterator1 rbegin1 () const Returns a const_reverse_iterator1 pointing to the beginning of the reversed symmetric_adaptor.
const_reverse_iterator1 rend1 () const Returns a const_reverse_iterator1 pointing to the end of the reversed symmetric_adaptor.
reverse_iterator1 rbegin1 () Returns a reverse_iterator1 pointing to the beginning of the reversed symmetric_adaptor.
reverse_iterator1 rend1 () Returns a reverse_iterator1 pointing to the end of the reversed symmetric_adaptor.
const_reverse_iterator2 rbegin2 () const Returns a const_reverse_iterator2 pointing to the beginning of the reversed symmetric_adaptor.
const_reverse_iterator2 rend2 () const Returns a const_reverse_iterator2 pointing to the end of the reversed symmetric_adaptor.
reverse_iterator2 rbegin2 () Returns a reverse_iterator2 pointing to the beginning of the reversed symmetric_adaptor.
reverse_iterator2 rend2 () Returns a reverse_iterator2 pointing to the end of the reversed symmetric_adaptor.

Notes

[1] Supported parameters for the type of the symmetric adaptor are lower and upper.


Copyright (©) 2000-2002 Joerg Walter, Mathias Koch
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