Vector

Vector

Description

The templated class vector<T, A> is the base container adaptor for dense vectors. For a n-dimensional vector and 0 <= i < n every element vi is mapped to the i-th element of the container.

Example

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

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

Definition

Defined in the header vector.hpp.

Template parameters

Parameter Description Default
T The type of object stored in the vector.
A The type of the Storage array. [1] unbounded_array<T>

Model of

Vector .

Type requirements

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

Public base classes

vector_container<vector<T, A> >

Members

Member Where defined Description
value_type VectorExpression
reference VectorExpression
const_reference VectorExpression
size_type VectorExpression
difference_type VectorExpression
const_iterator VectorExpression
iterator VectorExpression
const_reverse_iterator VectorExpression
reverse_iterator VectorExpression
array_type Vector
vector () VectorExpression Allocates an uninitialized vector that holds zero elements.
vector (size_type size) Vector Allocates an uninitialized vector that holds size elements.
vector (const vector &v) The copy constructor.
template<class AE>
vector (const vector_expression<AE> &ae)
The extended copy constructor.
void resize (size_type size, bool preserve = true) Vector Reallocates a vector to hold size elements. The existing elements of the vector are preseved when specified.
size_type size () const VectorExpression Returns the size of the vector.
const array_type& data () const Vector
array_type& data () Vector
const_reference operator () (size_type i) const VectorExpression Returns a const reference of the i -th element.
reference operator () (size_type i) VectorExpression Returns a reference of the i-th element.
const_reference operator [] (size_type i) const Vector Returns a const reference of the i -th element.
reference operator [] (size_type i) Vector Returns a reference of the i-th element.
vector &operator = (const vector &v) VectorExpression The assignment operator.
vector &assign_temporary (vector &v) VectorExpression Assigns a temporary. May change the vector v.
template<class AE>
vector &operator = (const vector_expression<AE> &ae)
VectorExpression The extended assignment operator.
template<class AE>
vector &assign (const vector_expression<AE> &ae)
VectorExpression Assigns a vector expression to the vector. Left and right hand side of the assignment should be independent.
template<class AE>
vector &operator += (const vector_expression<AE> &ae)
VectorExpression A computed assignment operator. Adds the vector expression to the vector.
template<class AE>
vector &plus_assign (const vector_expression<AE> &ae)
VectorExpression Adds a vector expression to the vector. Left and right hand side of the assignment should be independent.
template<class AE>
vector &operator -= (const vector_expression<AE> &ae)
VectorExpression A computed assignment operator. Subtracts the vector expression from the vector.
template<class AE>
vector &minus_assign (const vector_expression<AE> &ae)
VectorExpression Subtracts a vector expression from the vector. Left and right hand side of the assignment should be independent.
template<class AT>
vector &operator *= (const AT &at)
VectorExpression A computed assignment operator. Multiplies the vector with a scalar.
template<class AT>
vector &operator /= (const AT &at)
VectorExpression A computed assignment operator. Divides the vector through a scalar.
void swap (vector &v) VectorExpression Swaps the contents of the vectors.
void insert_element (size_type i, const_reference t) Vector Inserts the value t at the i-th element.
void erase_element (size_type i) Vector Erases the value at the i-th element.
void clear () Vector Clears the vector.
const_iterator begin () const VectorExpression Returns a const_iterator pointing to the beginning of the vector.
const_iterator end () const VectorExpression Returns a const_iterator pointing to the end of the vector.
iterator begin () VectorExpression Returns a iterator pointing to the beginning of the vector.
iterator end () VectorExpression Returns a iterator pointing to the end of the vector.
const_reverse_iterator rbegin () const VectorExpression Returns a const_reverse_iterator pointing to the beginning of the reversed vector.
const_reverse_iterator rend () const VectorExpression Returns a const_reverse_iterator pointing to the end of the reversed vector.
reverse_iterator rbegin () VectorExpression Returns a reverse_iterator pointing to the beginning of the reversed vector.
reverse_iterator rend () VectorExpression Returns a reverse_iterator pointing to the end of the reversed vector.

Notes

[1] Common parameters for the Storage array are unbounded_array<T> , bounded_array<T> and std::vector<T> .

Unit Vector

Description

The templated class unit_vector<T> represents canonical unit vectors. For the k-th n-dimensional canonical unit vector and 0 <= i < n holds uki = 0, if i <> k, and uki = 1.

Example

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

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

Definition

Defined in the header vector.hpp.

Template parameters

Parameter Description Default
T The type of object stored in the vector. int

Model of

Vector .

Type requirements

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

Public base classes

vector_container<unit_vector<T> >

Members

Member Description
unit_vector () Constructs an unit_vector that holds zero elements.
unit_vector (size_type size, size_type index) Constructs the index-th unit_vector that holds size elements.
unit_vector (const unit_vector &v) The copy constructor.
void resize (size_type size, bool preserve = true) Resizes a unit_vector to hold size elements. Therefore the existing elements of the unit_vector are always preseved.
size_type size () const Returns the size of the unit_vector.
size_type index () const Returns the index of the unit_vector.
const_reference operator () (size_type i) const Returns the value of the i-th element.
const_reference operator [] (size_type i) const Returns the value of the i-th element.
unit_vector &operator = (const unit_vector &v) The assignment operator.
unit_vector &assign_temporary (unit_vector &v) Assigns a temporary. May change the unit vector v .
void swap (unit_vector &v) Swaps the contents of the unit vectors.
const_iterator begin () const Returns a const_iterator pointing to the beginning of the unit_vector.
const_iterator end () const Returns a const_iterator pointing to the end of the unit_vector.
const_reverse_iterator rbegin () const Returns a const_reverse_iterator pointing to the beginning of the reversed unit_vector.
const_reverse_iterator rend () const Returns a const_reverse_iterator pointing to the end of the reversed unit_vector.

Zero Vector

Description

The templated class zero_vector<T> represents zero vectors. For a n-dimensional zero vector and 0 <= i < n holds zi = 0.

Example

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

int main () {
    using namespace boost::numeric::ublas;
    zero_vector<double> v (3);
    std::cout << v << std::endl;
}

Definition

Defined in the header vector.hpp.

Template parameters

Parameter Description Default
T The type of object stored in the vector. int

Model of

Vector .

Type requirements

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

Public base classes

vector_container<zero_vector<T> >

Members

Member Description
zero_vector () Constructs a zero_vector that holds zero elements.
zero_vector (size_type size) Constructs a zero_vector that holds size elements.
zero_vector (const zero_vector &v) The copy constructor.
void resize (size_type size, bool preserve = true) Resizes a zero_vector to hold size elements. Therefore the existing elements of the zero_vector are always preseved.
size_type size () const Returns the size of the zero_vector.
const_reference operator () (size_type i) const Returns the value of the i-th element.
const_reference operator [] (size_type i) const Returns the value of the i-th element.
zero_vector &operator = (const zero_vector &v) The assignment operator.
zero_vector &assign_temporary (zero_vector &v) Assigns a temporary. May change the zero vector v .
void swap (zero_vector &v) Swaps the contents of the zero vectors.
const_iterator begin () const Returns a const_iterator pointing to the beginning of the zero_vector.
const_iterator end () const Returns a const_iterator pointing to the end of the zero_vector.
const_reverse_iterator rbegin () const Returns a const_reverse_iterator pointing to the beginning of the reversed zero_vector.
const_reverse_iterator rend () const Returns a const_reverse_iterator pointing to the end of the reversed zero_vector.

Scalar Vector

Description

The templated class scalar_vector<T> represents scalar vectors. For a n-dimensional scalar vector and 0 <= i < n holds zi = s.

Example

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

int main () {
    using namespace boost::numeric::ublas;
    scalar_vector<double> v (3);
    std::cout << v << std::endl;
}

Definition

Defined in the header vector.hpp.

Template parameters

Parameter Description Default
T The type of object stored in the vector. int

Model of

Vector .

Type requirements

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

Public base classes

vector_container<scalar_vector<T> >

Members

Member Description
scalar_vector () Constructs a scalar_vector that holds zero elements.
scalar_vector (size_type size, const value_type &value) Constructs a scalar_vector that holds size elements each of the specified value.
scalar_vector (const scalar_vector &v) The copy constructor.
void resize (size_type size, bool preserve = true) Resizes a scalar_vector to hold size elements. Therefore the existing elements of the scalar_vector are always preseved.
size_type size () const Returns the size of the scalar_vector.
const_reference operator () (size_type i) const Returns the value of the i-th element.
const_reference operator [] (size_type i) const Returns the value of the i-th element.
scalar_vector &operator = (const scalar_vector &v) The assignment operator.
scalar_vector &assign_temporary (scalar_vector &v) Assigns a temporary. May change the scalar vector v .
void swap (scalar_vector &v) Swaps the contents of the scalar vectors.
const_iterator begin () const Returns a const_iterator pointing to the beginning of the scalar_vector.
const_iterator end () const Returns a const_iterator pointing to the end of the scalar_vector.
const_reverse_iterator rbegin () const Returns a const_reverse_iterator pointing to the beginning of the reversed scalar_vector.
const_reverse_iterator rend () const Returns a const_reverse_iterator pointing to the end of the reversed scalar_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.