Sparse Vector

Mapped Vector

Description

The templated class mapped_vector<T, A> is the base container adaptor for sparse vectors using element maps. For a n-dimensional sparse vector and 0 <= i < n the non-zero elements v_i are mapped to consecutive elements of the associative container, i.e. for elements k = v_i_₁and k + 1 = v_i_₂of the container holds i₁ < i₂.

Example

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

int main () {
    using namespace boost::numeric::ublas;
    mapped_vector<double> v (3, 3);
    for (unsigned i = 0; i < v.size (); ++ i)
        v (i) = i;
    std::cout << v << std::endl;
}

Definition

Defined in the header vector_sparse.hpp.

Template parameters

Parameter	Description	Default
`T`	The type of object stored in the mapped vector.
`A`	The type of the adapted array. [1]	`map_std<std::size_t, T>`

Model of

Vector .

Type requirements

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

Public base classes

vector_container<mapped_vector<T, A> >

Members

Member	Description
`mapped_vector ()`	Allocates a `mapped_vector` that holds zero elements.
`mapped_vector (size_type size, size_type non_zeros = 0)`	Allocates a `mapped_vector` that holds at most `size` elements.
`mapped_vector (const mapped_vector &v)`	The copy constructor.
`template<class AE> mapped_vector (size_type non_zeros, const vector_expression<AE> &ae)`	The extended copy constructor.
`void resize (size_type size, bool preserve = true)`	Reallocates a `mapped_vector` to hold at most `size` elements. The existing elements of the `mapped_vector` are preseved when specified.
`size_type size () const`	Returns the size of the `mapped_vector`.
`const_reference operator () (size_type i) const`	Returns the value of the `i`-th element.
`reference operator () (size_type i)`	Returns a reference of the `i`-th element.
`const_reference operator [] (size_type i) const`	Returns the value of the `i`-th element.
`reference operator [] (size_type i)`	Returns a reference of the `i`-th element.
`mapped_vector &operator = (const mapped_vector &v)`	The assignment operator.
`mapped_vector &assign_temporary (mapped_vector &v)`	Assigns a temporary. May change the mapped vector `v` .
`template<class AE> mapped_vector &operator = (const vector_expression<AE> &ae)`	The extended assignment operator.
`template<class AE> mapped_vector &assign (const vector_expression<AE> &ae)`	Assigns a vector expression to the mapped vector. Left and right hand side of the assignment should be independent.
`template<class AE> mapped_vector &operator += (const vector_expression<AE> &ae)`	A computed assignment operator. Adds the vector expression to the mapped vector.
`template<class AE> mapped_vector &plus_assign (const vector_expression<AE> &ae)`	Adds a vector expression to the mapped vector. Left and right hand side of the assignment should be independent.
`template<class AE> mapped_vector &operator -= (const vector_expression<AE> &ae)`	A computed assignment operator. Subtracts the vector expression from the mapped vector.
`template<class AE> mapped_vector &minus_assign (const vector_expression<AE> &ae)`	Subtracts a vector expression from the mapped vector. Left and right hand side of the assignment should be independent.
`template<class AT> mapped_vector &operator *= (const AT &at)`	A computed assignment operator. Multiplies the mapped vector with a scalar.
`template<class AT> mapped_vector &operator /= (const AT &at)`	A computed assignment operator. Divides the mapped vector through a scalar.
`void swap (mapped_vector &v)`	Swaps the contents of the mapped vectors.
`true_reference insert_element (size_type i, const_reference t)`	Inserts the value `t` at the `i`-th element. Duplicates elements are not allowed.
`void erase_element (size_type i)`	Erases the value at the `i`-th element.
`void clear ()`	Clears the mapped vector.
`const_iterator begin () const`	Returns a `const_iterator` pointing to the beginning of the `mapped_vector`.
`const_iterator end () const`	Returns a `const_iterator` pointing to the end of the `mapped_vector`.
`iterator begin ()`	Returns a `iterator` pointing to the beginning of the `mapped_vector`.
`iterator end ()`	Returns a `iterator` pointing to the end of the `mapped_vector`.
`const_reverse_iterator rbegin () const`	Returns a `const_reverse_iterator` pointing to the beginning of the reversed `mapped_vector`.
`const_reverse_iterator rend () const`	Returns a `const_reverse_iterator` pointing to the end of the reversed `mapped_vector`.
`reverse_iterator rbegin ()`	Returns a `reverse_iterator` pointing to the beginning of the reversed `mapped_vector`.
`reverse_iterator rend ()`	Returns a `reverse_iterator` pointing to the end of the reversed `mapped_vector`.

Notes

[1] Supported parameters for the adapted array are map_array<std::size_t, T> and map_std<std::size_t, T>. The latter is equivalent to std::map<std::size_t, T>.

Compressed Vector

Description

The templated class compressed_vector<T, IB, IA, TA> is the base container adaptor for compressed vectors. For a n-dimensional compressed vector and 0 <= i < n the non-zero elements v_i are mapped to consecutive elements of the index and value container, i.e. for elements k = v_i_₁and k + 1 = v_i_₂of these containers holds i₁ < i₂.

Example

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

int main () {
    using namespace boost::numeric::ublas;
    compressed_vector<double> v (3, 3);
    for (unsigned i = 0; i < v.size (); ++ i)
        v (i) = i;
    std::cout << v << std::endl;
}

Definition

Defined in the header vector_sparse.hpp.

Template parameters

Parameter	Description	Default
`T`	The type of object stored in the compressed vector.
`IB`	The index base of the compressed vector. [1]	`0`
`IA`	The type of the adapted array for indices. [2]	`unbounded_array<std::size_t>`
`TA`	The type of the adapted array for values. [2]	`unbounded_array<T>`

Model of

Vector .

Type requirements

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

Public base classes

vector_container<compressed_vector<T, IB, IA, TA> >

Members

Member	Description
`compressed_vector ()`	Allocates a `compressed_vector` that holds zero elements.
`compressed_vector (size_type size, size_type non_zeros)`	Allocates a `compressed_vector` that holds at most `size` elements.
`compressed_vector (const compressed_vector &v)`	The copy constructor.
`template<class AE> compressed_vector (size_type non_zeros, const vector_expression<AE> &ae)`	The extended copy constructor.
`void resize (size_type size, bool preserve = true)`	Reallocates a `compressed_vector` to hold at most `size` elements. The existing elements of the `compress_vector` are preseved when specified.
`size_type size () const`	Returns the size of the `compressed_vector`.
`const_reference operator () (size_type i) const`	Returns the value of the `i`-th element.
`reference operator () (size_type i)`	Returns a reference of the `i`-th element.
`const_reference operator [] (size_type i) const`	Returns the value of the `i`-th element.
`reference operator [] (size_type i)`	Returns a reference of the `i`-th element.
`compressed_vector &operator = (const compressed_vector &v)`	The assignment operator.
`compressed_vector &assign_temporary (compressed_vector &v)`	Assigns a temporary. May change the compressed vector `v`.
`template<class AE> compressed_vector &operator = (const vector_expression<AE> &ae)`	The extended assignment operator.
`template<class AE> compressed_vector &assign (const vector_expression<AE> &ae)`	Assigns a vector expression to the compressed vector. Left and right hand side of the assignment should be independent.
`template<class AE> compressed_vector &operator += (const vector_expression<AE> &ae)`	A computed assignment operator. Adds the vector expression to the compressed vector.
`template<class AE> compressed_vector &plus_assign (const vector_expression<AE> &ae)`	Adds a vector expression to the compressed vector. Left and right hand side of the assignment should be independent.
`template<class AE> compressed_vector &operator -= (const vector_expression<AE> &ae)`	A computed assignment operator. Subtracts the vector expression from the compressed vector.
`template<class AE> compressed_vector &minus_assign (const vector_expression<AE> &ae)`	Subtracts a vector expression from the compressed vector. Left and right hand side of the assignment should be independent.
`template<class AT> compressed_vector &operator *= (const AT &at)`	A computed assignment operator. Multiplies the compressed vector with a scalar.
`template<class AT> compressed_vector &operator /= (const AT &at)`	A computed assignment operator. Divides the compressed vector through a scalar.
`void swap (compressed_vector &v)`	Swaps the contents of the compressed vectors.
`true_reference insert_element (size_type i, const_reference t)`	Inserts the value `t` at the `i`-th element. Duplicates elements are not allowed.
`void erase_element (size_type i)`	Erases the value at the `i`-th element.
`void clear ()`	Clears the compressed vector.
`const_iterator begin () const`	Returns a `const_iterator` pointing to the beginning of the `compressed_vector`.
`const_iterator end () const`	Returns a `const_iterator` pointing to the end of the `compressed_vector`.
`iterator begin ()`	Returns a `iterator` pointing to the beginning of the `compressed_vector`.
`iterator end ()`	Returns a `iterator` pointing to the end of the `compressed_vector`.
`const_reverse_iterator rbegin () const`	Returns a `const_reverse_iterator` pointing to the beginning of the reversed `compressed_vector`.
`const_reverse_iterator rend () const`	Returns a `const_reverse_iterator` pointing to the end of the reversed `compressed_vector`.
`reverse_iterator rbegin ()`	Returns a `reverse_iterator` pointing to the beginning of the reversed `compressed_vector`.
`reverse_iterator rend ()`	Returns a `reverse_iterator` pointing to the end of the reversed `compressed_vector`.

Notes

[1] Supported parameters for the index base are 0 and 1 at least.

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

Coordinate Vector

Description

The templated class coordinate_vector<T, IB, IA, TA> is the base container adaptor for compressed vectors. For a n-dimensional sorted coordinate vector and 0 <= i < n the non-zero elements v_i are mapped to consecutive elements of the index and value container, i.e. for elements k = v_i_₁and k + 1 = v_i_₂of these containers holds i₁ < i₂.

Example

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

int main () {
    using namespace boost::numeric::ublas;
    coordinate_vector<double> v (3, 3);
    for (unsigned i = 0; i < v.size (); ++ i)
        v (i) = i;
    std::cout << v << std::endl;
}

Definition

Defined in the header vector_sparse.hpp.

Template parameters

Parameter	Description	Default
`T`	The type of object stored in the coordinate vector.
`IB`	The index base of the coordinate vector. [1]	`0`
`IA`	The type of the adapted array for indices. [2]	`unbounded_array<std::size_t>`
`TA`	The type of the adapted array for values. [2]	`unbounded_array<T>`

Model of

Vector .

Type requirements

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

Public base classes

vector_container<coordinate_vector<T, IB, IA, TA> >

Members

Member	Description
`coordinate_vector ()`	Allocates a `coordinate_vector` that holds zero elements.
`coordinate_vector (size_type size, size_type non_zeros)`	Allocates a `coordinate_vector` that holds at most `size` elements.
`coordinate_vector (const coordinate_vector &v)`	The copy constructor.
`template<class AE> coordinate_vector (size_type non_zeros, const vector_expression<AE> &ae)`	The extended copy constructor.
`void resize (size_type size, bool preserve = true)`	Reallocates a `coordinate_vector` to hold at most `size` elements. The existing elements of the `coordinate_vector` are preseved when specified.
`size_type size () const`	Returns the size of the `coordinate_vector`.
`const_reference operator () (size_type i) const`	Returns the value of the `i`-th element.
`reference operator () (size_type i)`	Returns a reference of the `i`-th element.
`const_reference operator [] (size_type i) const`	Returns the value of the `i`-th element.
`reference operator [] (size_type i)`	Returns a reference of the `i`-th element.
`coordinate_vector &operator = (const coordinate_vector &v)`	The assignment operator.
`coordinate_vector &assign_temporary (coordinate_vector &v)`	Assigns a temporary. May change the coordinate vector `v`.
`template<class AE> coordinate_vector &operator = (const vector_expression<AE> &ae)`	The extended assignment operator.
`template<class AE> coordinate_vector &assign (const vector_expression<AE> &ae)`	Assigns a vector expression to the coordinate vector. Left and right hand side of the assignment should be independent.
`template<class AE> coordinate_vector &operator += (const vector_expression<AE> &ae)`	A computed assignment operator. Adds the vector expression to the coordinate vector.
`template<class AE> coordinate_vector &plus_assign (const vector_expression<AE> &ae)`	Adds a vector expression to the coordinate vector. Left and right hand side of the assignment should be independent.
`template<class AE> coordinate_vector &operator -= (const vector_expression<AE> &ae)`	A computed assignment operator. Subtracts the vector expression from the coordinate vector.
`template<class AE> coordinate_vector &minus_assign (const vector_expression<AE> &ae)`	Subtracts a vector expression from the coordinate vector. Left and right hand side of the assignment should be independent.
`template<class AT> coordinate_vector &operator *= (const AT &at)`	A computed assignment operator. Multiplies the coordinate vector with a scalar.
`template<class AT> coordinate_vector &operator /= (const AT &at)`	A computed assignment operator. Divides the coordinate vector through a scalar.
`void swap (coordinate_vector &v)`	Swaps the contents of the coordinate vectors.
`true_reference insert_element (size_type i, const_reference t)`	Inserts the value `t` at the `i`-th element. Duplicates elements are not allowed.
`void append_element (size_type i, size_type j, const_reference t)`	Appends the value `t` at the `i`-th element. Duplicate elements can be appended to a `coordinate_vector`. They are merged into a single arithmetically summed element by the `sort` function.
`void erase_element (size_type i)`	Erases the value at the `i`-th element.
`void clear ()`	Clears the coordinate vector.
`const_iterator begin () const`	Returns a `const_iterator` pointing to the beginning of the `coordinate_vector`.
`const_iterator end () const`	Returns a `const_iterator` pointing to the end of the `coordinate_vector`.
`iterator begin ()`	Returns a `iterator` pointing to the beginning of the `coordinate_vector`.
`iterator end ()`	Returns a `iterator` pointing to the end of the `coordinate_vector`.
`const_reverse_iterator rbegin () const`	Returns a `const_reverse_iterator` pointing to the beginning of the reversed `coordinate_vector`.
`const_reverse_iterator rend () const`	Returns a `const_reverse_iterator` pointing to the end of the reversed `coordinate_vector`.
`reverse_iterator rbegin ()`	Returns a `reverse_iterator` pointing to the beginning of the reversed `coordinate_vector`.
`reverse_iterator rend ()`	Returns a `reverse_iterator` pointing to the end of the reversed `coordinate_vector`.

Notes

[1] Supported parameters for the index base are 0 and 1 at least.

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

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