# boost::numeric::ublas::mapped_matrix< T, L, A > Class Template Reference

Index map based sparse matrix of values of type `T`. More...

Inherits matrix_container< mapped_matrix< T, L, A > >.

List of all members.

## Classes
class | const_iterator1
class | const_iterator2
class | iterator1
class | iterator2
## Public Types
typedef A::size_type | size_type
typedef A::difference_type | difference_type
typedef T | value_type
typedef A | array_type
typedef const T & | const_reference
typedef detail::map_traits< A, T >::reference | reference
typedef const matrix_reference < const self_type > | const_closure_type
typedef matrix_reference < self_type > | closure_type
typedef mapped_vector< T, A > | vector_temporary_type
typedef self_type | matrix_temporary_type
typedef sparse_tag | storage_category
typedef L::orientation_category | orientation_category
typedef reverse_iterator_base1 < const_iterator1 > | const_reverse_iterator1
typedef reverse_iterator_base1 < iterator1 > | reverse_iterator1
typedef reverse_iterator_base2 < const_iterator2 > | const_reverse_iterator2
typedef reverse_iterator_base2 < iterator2 > | reverse_iterator2
## Public Member Functions
BOOST_UBLAS_INLINE | mapped_matrix (size_type size1, size_type size2, size_type non_zeros=0)
BOOST_UBLAS_INLINE | mapped_matrix (const mapped_matrix &m)
template<class AE >
BOOST_UBLAS_INLINE | mapped_matrix (const matrix_expression< AE > &ae, size_type non_zeros=0)
BOOST_UBLAS_INLINE size_type | size1 () const
BOOST_UBLAS_INLINE size_type | size2 () const
BOOST_UBLAS_INLINE size_type | nnz_capacity () const
BOOST_UBLAS_INLINE size_type | nnz () const
BOOST_UBLAS_INLINE const array_type & | data () const
BOOST_UBLAS_INLINE array_type & | data ()
BOOST_UBLAS_INLINE void | resize (size_type size1, size_type size2, bool preserve=true)
BOOST_UBLAS_INLINE void | reserve (size_type non_zeros, bool preserve=true)
BOOST_UBLAS_INLINE pointer | find_element (size_type i, size_type j)
BOOST_UBLAS_INLINE const_pointer | find_element (size_type i, size_type j) const
BOOST_UBLAS_INLINE const_reference | operator() (size_type i, size_type j) const
BOOST_UBLAS_INLINE reference | operator() (size_type i, size_type j)
BOOST_UBLAS_INLINE true_reference | insert_element (size_type i, size_type j, const_reference t)
BOOST_UBLAS_INLINE void | erase_element (size_type i, size_type j)
BOOST_UBLAS_INLINE void | clear ()
BOOST_UBLAS_INLINE mapped_matrix & | operator= (const mapped_matrix &m)
template<class C >
BOOST_UBLAS_INLINE mapped_matrix & | operator= (const matrix_container< C > &m)
BOOST_UBLAS_INLINE mapped_matrix & | assign_temporary (mapped_matrix &m)
template<class AE >
BOOST_UBLAS_INLINE mapped_matrix & | operator= (const matrix_expression< AE > &ae)
template<class AE >
BOOST_UBLAS_INLINE mapped_matrix & | assign (const matrix_expression< AE > &ae)
template<class AE >
BOOST_UBLAS_INLINE mapped_matrix & | operator+= (const matrix_expression< AE > &ae)
template<class C >
BOOST_UBLAS_INLINE mapped_matrix & | operator+= (const matrix_container< C > &m)
template<class AE >
BOOST_UBLAS_INLINE mapped_matrix & | plus_assign (const matrix_expression< AE > &ae)
template<class AE >
BOOST_UBLAS_INLINE mapped_matrix & | operator-= (const matrix_expression< AE > &ae)
template<class C >
BOOST_UBLAS_INLINE mapped_matrix & | operator-= (const matrix_container< C > &m)
template<class AE >
BOOST_UBLAS_INLINE mapped_matrix & | minus_assign (const matrix_expression< AE > &ae)
template<class AT >
BOOST_UBLAS_INLINE mapped_matrix & | operator*= (const AT &at)
template<class AT >
BOOST_UBLAS_INLINE mapped_matrix & | operator/= (const AT &at)
BOOST_UBLAS_INLINE void | swap (mapped_matrix &m)
const_iterator1 | find1 (int rank, size_type i, size_type j, int direction=1) const
iterator1 | find1 (int rank, size_type i, size_type j, int direction=1)
const_iterator2 | find2 (int rank, size_type i, size_type j, int direction=1) const
iterator2 | find2 (int rank, size_type i, size_type j, int direction=1)
BOOST_UBLAS_INLINE const_iterator1 | begin1 () const
BOOST_UBLAS_INLINE const_iterator1 | end1 () const
BOOST_UBLAS_INLINE iterator1 | begin1 ()
BOOST_UBLAS_INLINE iterator1 | end1 ()
BOOST_UBLAS_INLINE const_iterator2 | begin2 () const
BOOST_UBLAS_INLINE const_iterator2 | end2 () const
BOOST_UBLAS_INLINE iterator2 | begin2 ()
BOOST_UBLAS_INLINE iterator2 | end2 ()
BOOST_UBLAS_INLINE const_reverse_iterator1 | rbegin1 () const
BOOST_UBLAS_INLINE const_reverse_iterator1 | rend1 () const
BOOST_UBLAS_INLINE reverse_iterator1 | rbegin1 ()
BOOST_UBLAS_INLINE reverse_iterator1 | rend1 ()
BOOST_UBLAS_INLINE const_reverse_iterator2 | rbegin2 () const
BOOST_UBLAS_INLINE const_reverse_iterator2 | rend2 () const
BOOST_UBLAS_INLINE reverse_iterator2 | rbegin2 ()
BOOST_UBLAS_INLINE reverse_iterator2 | rend2 ()
template<class Archive >
void | serialize (Archive &ar, const unsigned int)
## Friends
BOOST_UBLAS_INLINE friend void | swap (mapped_matrix &m1, mapped_matrix &m2)

## Detailed Description

### template<class T, class L, class A>
class boost::numeric::ublas::mapped_matrix< T, L, A >

This class represents a matrix by using a `key` to value mapping. The default type is

     template<class T, class L = row_major, class A =  map_std<std::size_t, T> > class mapped_matrix;

So, by default a STL map container is used to associate keys and values. The key is computed depending on the layout type `L` as

     key = layout_type::element(i, size1_, j, size2_);

which means

     key = (i*size2+j)

for a row major matrix. Limitations: The matrix size must not exceed

     std::limits<std::size_t>

. The find1() and find2() operations have a complexity of at least , depending on the efficiency of `std::lower_bound` on the key set of the map. Orientation and storage can also be specified, otherwise a row major orientation is used. It is not required by the storage to initialize elements of the matrix. By default, the orientation is `row_major`.

See also:
  fwd.hpp, storage_sparse.hpp

Template Parameters:

  | T | the type of object stored in the matrix (like double, float, complex, etc...)
  | L | the storage organization. It can be either `row_major` or `column_major`. By default it is `row_major`