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c++boost.gif Sparse Vector

Sparse Vector

Description

The templated class sparse_vector<T, A> is the base container adaptor for sparse vectors. For a n-dimensional sparse vector and 0 <= i < n the non-zero elements vi are mapped to consecutive elements of the associative container, i.e. for elements k = vi1and k + 1 = vi2of 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;
sparse_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 sparse vector.  
A The type of the adapted array. [1] map_array<std::size_t, T>

Model of

Vector .

Type requirements

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

Public base classes

vector_expression<sparse_vector<T, A> >

Members

Member Description
sparse_vector () Allocates a sparse_vector that holds zero elements.
sparse_vector (size_type size, size_type non_zeros) Allocates a sparse_vector that holds at most size elements.
sparse_vector (const sparse_vector &v) The copy constructor.
template<class AE>
sparse_vector (size_type non_zeros, const vector_expression<AE> &ae)
The extended copy constructor.
void resize (size_type size, size_type non_zeros) Reallocates a sparse_vector to hold at most size elements. The content of the sparse_vector is preserved.
size_type size () const Returns the size of the sparse_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.
sparse_vector &operator = (const sparse_vector &v) The assignment operator.
sparse_vector &assign_temporary (sparse_vector &v) Assigns a temporary. May change the sparse vector v .
template<class AE>
sparse_vector &operator = (const vector_expression<AE> &ae)
The extended assignment operator.
template<class AE>
sparse_vector &assign (const vector_expression<AE> &ae)
Assigns a vector expression to the sparse vector. Left and right hand side of the assignment should be independent.
template<class AE>
sparse_vector &operator += (const vector_expression<AE> &ae)
A computed assignment operator. Adds the vector expression to the sparse vector.
template<class AE>
sparse_vector &plus_assign (const vector_expression<AE> &ae)
Adds a vector expression to the sparse vector. Left and right hand side of the assignment should be independent.
template<class AE>
sparse_vector &operator -= (const vector_expression<AE> &ae)
A computed assignment operator. Subtracts the vector expression from the sparse vector.
template<class AE>
sparse_vector &minus_assign (const vector_expression<AE> &ae)
Subtracts a vector expression from the sparse vector. Left and right hand side of the assignment should be independent.
template<class AT>
sparse_vector &operator *= (const AT &at)
A computed assignment operator. Multiplies the sparse vector with a scalar.
template<class AT>
sparse_vector &operator /= (const AT &at)
A computed assignment operator. Divides the sparse vector through a scalar.
void swap (sparse_vector &v) Swaps the contents of the sparse vectors.
void insert (size_type i, const_reference t) Inserts the value t at the i-th element.
void erase (size_type i) Erases the value at the i-th element.
void clear () Clears the sparse vector.
const_iterator begin () const Returns a const_iterator pointing to the beginning of the sparse_vector.
const_iterator end () const Returns a const_iterator pointing to the end of the sparse_vector.
iterator begin () Returns a iterator pointing to the beginning of the sparse_vector.
iterator end () Returns a iterator pointing to the end of the sparse_vector.
const_reverse_iterator rbegin () const Returns a const_reverse_iterator pointing to the beginning of the reversed sparse_vector.
const_reverse_iterator rend () const Returns a const_reverse_iterator pointing to the end of the reversed sparse_vector.
reverse_iterator rbegin () Returns a reverse_iterator pointing to the beginning of the reversed sparse_vector.
reverse_iterator rend () Returns a reverse_iterator pointing to the end of the reversed sparse_vector.

Notes

[1] Supported parameters for the adapted array are map_array<std::size_t, T> and 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 vi are mapped to consecutive elements of the index and value container, i.e. for elements k = vi1and k + 1 = vi2of 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_expression<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, size_type non_zeros) Reallocates a compressed_vector to hold at most size elements. The content of the compressed_vector is preserved.
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.
void insert (size_type i, const_reference t) Inserts the value t at the i-th element.
void erase (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 vi are mapped to consecutive elements of the index and value container, i.e. for elements k = vi1and k + 1 = vi2of 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_expression<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, size_type non_zeros) Reallocates a coordinate_vector to hold at most size elements. The content of the coordinate_vector is preserved.
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.
void insert (size_type i, const_reference t) Inserts the value t at the i-th element.
void erase (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
Permission to copy, use, modify, sell and distribute this document is granted provided this copyright notice appears in all copies. This document is provided ``as is'' without express or implied warranty, and with no claim as to its suitability for any purpose.

Last revised: 1/15/2003