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

A dense vector of values of type `T`. More...

Inherits vector_container< vector< T, A > >.

Inherited by boost::numeric::ublas::permutation_matrix< T, A >.

List of all members.

## Classes
class | const_iterator
class | iterator
## Public Types
typedef A::size_type | size_type
typedef A::difference_type | difference_type
typedef T | value_type
typedef type_traits< T > ::const_reference | const_reference
typedef T & | reference
typedef T * | pointer
typedef const T * | const_pointer
typedef A | array_type
typedef const vector_reference < const self_type > | const_closure_type
typedef vector_reference < self_type > | closure_type
typedef self_type | vector_temporary_type
typedef dense_tag | storage_category
typedef reverse_iterator_base < const_iterator > | const_reverse_iterator
typedef reverse_iterator_base < iterator > | reverse_iterator
## Public Member Functions
BOOST_UBLAS_INLINE | vector ()
| Constructor of a vector By default it is empty, i.e. `size()==0`.
BOOST_UBLAS_INLINE | vector (size_type size)
| Constructor of a vector with a predefined size By default, its elements are initialized to 0.
BOOST_UBLAS_INLINE | vector (size_type size, const array_type &data)
| Constructor of a vector by copying from another container This type has the generic name `array_typ` within the vector definition.
BOOST_UBLAS_INLINE | vector (const array_type &data)
| Constructor of a vector by copying from another container This type has the generic name `array_typ` within the vector definition.
BOOST_UBLAS_INLINE | vector (size_type size, const value_type &init)
| Constructor of a vector with a predefined size and a unique initial value.
BOOST_UBLAS_INLINE | vector (const vector &v)
| Copy-constructor of a vector.
template<class AE >
BOOST_UBLAS_INLINE | vector (const vector_expression< AE > &ae)
| Copy-constructor of a vector from a vector_expression Depending on the vector_expression, this constructor can have the cost of the computations of the expression (trivial to say it, but it is to take into account in your complexity calculations).
BOOST_UBLAS_INLINE size_type | max_size () const
| Return the maximum size of the data container. Return the upper bound (maximum size) on the data container. Depending on the container, it can be bigger than the current size of the vector.
BOOST_UBLAS_INLINE bool | empty () const
| Return true if the vector is empty (`size==0`).
BOOST_UBLAS_INLINE size_type | size () const
| Return the size of the vector.
BOOST_UBLAS_INLINE const array_type & | data () const
| Return a `const` reference to the container. Useful to access data directly for specific type of container.
BOOST_UBLAS_INLINE array_type & | data ()
| Return a reference to the container. Useful to speed-up write operations to the data in very specific case.
BOOST_UBLAS_INLINE void | resize (size_type size, bool preserve=true)
| Resize the vector Resize the vector to a new size. If `preserve` is true, data are copied otherwise data are lost. If the new size is bigger, the remaining values are filled in with the initial value (0 by default) in the case of `unbounded_array`, which is the container by default. If the new size is smaller, last values are lost. This behaviour can be different if you explicitely specify another type of container.
BOOST_UBLAS_INLINE pointer | find_element (size_type i)
| Return a pointer to the element .
BOOST_UBLAS_INLINE const_pointer | find_element (size_type i) const
| Return a const pointer to the element .
BOOST_UBLAS_INLINE const_reference | operator() (size_type i) const
| Return a const reference to the element Return a const reference to the element . With some compilers, this notation will be faster than ``[i].
BOOST_UBLAS_INLINE reference | operator() (size_type i)
| Return a reference to the element Return a reference to the element . With some compilers, this notation will be faster than ``[i].
BOOST_UBLAS_INLINE const_reference | operator[] (size_type i) const
| Return a const reference to the element .
BOOST_UBLAS_INLINE reference | operator[] (size_type i)
| Return a reference to the element .
BOOST_UBLAS_INLINE reference | insert_element (size_type i, const_reference t)
| Set element to the value `t`.
BOOST_UBLAS_INLINE void | erase_element (size_type i)
| Set element to the zero value.
BOOST_UBLAS_INLINE void | clear ()
| Clear the vector, i.e. set all values to the `zero` value.
BOOST_UBLAS_INLINE vector & | operator= (const vector &v)
| Assign a full vector (RHS-vector) to the current vector (LHS-vector).
template<class C >
BOOST_UBLAS_INLINE vector & | operator= (const vector_container< C > &v)
| Assign a full vector (RHS-vector) to the current vector (LHS-vector) Assign a full vector (RHS-vector) to the current vector (LHS-vector). This method does not create any temporary.
BOOST_UBLAS_INLINE vector & | assign_temporary (vector &v)
| Assign a full vector (RHS-vector) to the current vector (LHS-vector).
template<class AE >
BOOST_UBLAS_INLINE vector & | operator= (const vector_expression< AE > &ae)
| Assign the result of a vector_expression to the vector Assign the result of a vector_expression to the vector. This is lazy-compiled and will be optimized out by the compiler on any type of expression.
template<class AE >
BOOST_UBLAS_INLINE vector & | assign (const vector_expression< AE > &ae)
| Assign the result of a vector_expression to the vector Assign the result of a vector_expression to the vector. This is lazy-compiled and will be optimized out by the compiler on any type of expression.
template<class AE >
BOOST_UBLAS_INLINE vector & | operator+= (const vector_expression< AE > &ae)
| Assign the sum of the vector and a vector_expression to the vector Assign the sum of the vector and a vector_expression to the vector. This is lazy-compiled and will be optimized out by the compiler on any type of expression. A temporary is created for the computations.
template<class C >
BOOST_UBLAS_INLINE vector & | operator+= (const vector_container< C > &v)
| Assign the sum of the vector and a vector_expression to the vector Assign the sum of the vector and a vector_expression to the vector. This is lazy-compiled and will be optimized out by the compiler on any type of expression. No temporary is created. Computations are done and stored directly into the resulting vector.
template<class AE >
BOOST_UBLAS_INLINE vector & | plus_assign (const vector_expression< AE > &ae)
| Assign the sum of the vector and a vector_expression to the vector Assign the sum of the vector and a vector_expression to the vector. This is lazy-compiled and will be optimized out by the compiler on any type of expression. No temporary is created. Computations are done and stored directly into the resulting vector.
template<class AE >
BOOST_UBLAS_INLINE vector & | operator-= (const vector_expression< AE > &ae)
| Assign the difference of the vector and a vector_expression to the vector Assign the difference of the vector and a vector_expression to the vector. This is lazy-compiled and will be optimized out by the compiler on any type of expression. A temporary is created for the computations.
template<class C >
BOOST_UBLAS_INLINE vector & | operator-= (const vector_container< C > &v)
| Assign the difference of the vector and a vector_expression to the vector Assign the difference of the vector and a vector_expression to the vector. This is lazy-compiled and will be optimized out by the compiler on any type of expression. No temporary is created. Computations are done and stored directly into the resulting vector.
template<class AE >
BOOST_UBLAS_INLINE vector & | minus_assign (const vector_expression< AE > &ae)
| Assign the difference of the vector and a vector_expression to the vector Assign the difference of the vector and a vector_expression to the vector. This is lazy-compiled and will be optimized out by the compiler on any type of expression. No temporary is created. Computations are done and stored directly into the resulting vector.
template<class AT >
BOOST_UBLAS_INLINE vector & | operator*= (const AT &at)
| Assign the product of the vector and a scalar to the vector Assign the product of the vector and a scalar to the vector. This is lazy-compiled and will be optimized out by the compiler on any type of expression. No temporary is created. Computations are done and stored directly into the resulting vector.
template<class AT >
BOOST_UBLAS_INLINE vector & | operator/= (const AT &at)
| Assign the division of the vector by a scalar to the vector Assign the division of the vector by a scalar to the vector. This is lazy-compiled and will be optimized out by the compiler on any type of expression. No temporary is created. Computations are done and stored directly into the resulting vector.
BOOST_UBLAS_INLINE void | swap (vector &v)
| Swap the content of the vector with another vector.
BOOST_UBLAS_INLINE const_iterator | find (size_type i) const
| Return a const iterator to the element i.
BOOST_UBLAS_INLINE iterator | find (size_type i)
| Return an iterator to the element i.
BOOST_UBLAS_INLINE const_iterator | begin () const
| return an iterator on the first element of the vector
BOOST_UBLAS_INLINE const_iterator | end () const
| return an iterator after the last element of the vector
BOOST_UBLAS_INLINE iterator | begin ()
| Return an iterator on the first element of the vector.
BOOST_UBLAS_INLINE iterator | end ()
| Return an iterator at the end of the vector.
BOOST_UBLAS_INLINE const_reverse_iterator | rbegin () const
| Return a const reverse iterator before the first element of the reversed vector (i.e. end() of normal vector).
BOOST_UBLAS_INLINE const_reverse_iterator | rend () const
| Return a const reverse iterator on the end of the reverse vector (i.e. first element of the normal vector).
BOOST_UBLAS_INLINE reverse_iterator | rbegin ()
| Return a const reverse iterator before the first element of the reversed vector (i.e. end() of normal vector).
BOOST_UBLAS_INLINE reverse_iterator | rend ()
| Return a const reverse iterator on the end of the reverse vector (i.e. first element of the normal vector).
template<class Archive >
void | serialize (Archive &ar, const unsigned int)
## Friends
BOOST_UBLAS_INLINE friend void | swap (vector &v1, vector &v2)
| Swap the content of two vectors.

## Detailed Description

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

For a -dimensional vector and every element is mapped to the -th element of the container. A storage type `A` can be specified which defaults to `unbounded_array`. Elements are constructed by `A`, which need not initialise their value.

Template Parameters:

  | T | type of the objects stored in the vector (like int, double, complex,...)
  | A | The type of the storage array of the vector. Default is `unbounded_array<T>`. `<bounded_array<T>` and `std::vector<T>` can also be used

## Constructor & Destructor Documentation

template<class T, class A>

BOOST_UBLAS_INLINE boost::numeric::ublas::vector< T, A >::vector | ( | size_type | size | ) | `[explicit]`

Parameters:

  | size | initial size of the vector

template<class T, class A>

BOOST_UBLAS_INLINE boost::numeric::ublas::vector< T, A >::vector | ( | size_type | size,
|  | const array_type & | data |
| ) |  |  |

Parameters:

  | size | initial size of the vector
  | data | container of type `A`

template<class T, class A>

BOOST_UBLAS_INLINE boost::numeric::ublas::vector< T, A >::vector | ( | const array_type & | data | ) |

Parameters:

  | data | container of type `A`

template<class T, class A>

BOOST_UBLAS_INLINE boost::numeric::ublas::vector< T, A >::vector | ( | size_type | size,
|  | const value_type & | init |
| ) |  |  |

Parameters:

  | size | of the vector
  | init | value to assign to each element of the vector

template<class T, class A>

BOOST_UBLAS_INLINE boost::numeric::ublas::vector< T, A >::vector | ( | const vector< T, A > & | v | ) |

Parameters:

  | v | is the vector to be duplicated

template<class T, class A>
template<class AE >

BOOST_UBLAS_INLINE boost::numeric::ublas::vector< T, A >::vector | ( | const vector_expression< AE > & | ae | ) |

Parameters:

  | ae | the vector_expression which values will be duplicated into the vector

## Member Function Documentation

template<class T, class A>
template<class AE >

BOOST_UBLAS_INLINE vector& boost::numeric::ublas::vector< T, A >::assign | ( | const vector_expression< AE > & | ae | ) |

Template Parameters:

  | AE | is the type of the vector_expression

Parameters:

  | ae | is a const reference to the vector_expression

Returns:
  a reference to the resulting vector

template<class T, class A>

BOOST_UBLAS_INLINE vector& boost::numeric::ublas::vector< T, A >::assign_temporary | ( | vector< T, A > & | v | ) |

Parameters:

  | v | is the source vector

Returns:
  a reference to a vector (i.e. the destination vector)

template<class T, class A>

BOOST_UBLAS_INLINE bool boost::numeric::ublas::vector< T, A >::empty | ( |  | ) | const

Returns:
  `true` if empty, `false` otherwise

template<class T, class A>

BOOST_UBLAS_INLINE void boost::numeric::ublas::vector< T, A >::erase_element | ( | size_type | i | ) |

Parameters:

  | i | index of the element

template<class T, class A>

BOOST_UBLAS_INLINE iterator boost::numeric::ublas::vector< T, A >::find | ( | size_type | i | ) |

Parameters:

  | i | index of the element

template<class T, class A>

BOOST_UBLAS_INLINE const_iterator boost::numeric::ublas::vector< T, A >::find | ( | size_type | i | ) | const

Parameters:

  | i | index of the element

template<class T, class A>

BOOST_UBLAS_INLINE const_pointer boost::numeric::ublas::vector< T, A >::find_element | ( | size_type | i | ) | const

Parameters:

  | i | index of the element

template<class T, class A>

BOOST_UBLAS_INLINE pointer boost::numeric::ublas::vector< T, A >::find_element | ( | size_type | i | ) |

Parameters:

  | i | index of the element

template<class T, class A>

BOOST_UBLAS_INLINE reference boost::numeric::ublas::vector< T, A >::insert_element | ( | size_type | i,
|  | const_reference | t |
| ) |  |  |

Parameters:

  | i | index of the element
  | t | reference to the value to be set

template<class T, class A>
template<class AE >

BOOST_UBLAS_INLINE vector& boost::numeric::ublas::vector< T, A >::minus_assign | ( | const vector_expression< AE > & | ae | ) |

Template Parameters:

  | AE | is the type of the vector_expression

Parameters:

  | ae | is a const reference to the vector_expression

Returns:
  a reference to the resulting vector

template<class T, class A>

BOOST_UBLAS_INLINE reference boost::numeric::ublas::vector< T, A >::operator() | ( | size_type | i | ) |

Parameters:

  | i | index of the element

template<class T, class A>

BOOST_UBLAS_INLINE const_reference boost::numeric::ublas::vector< T, A >::operator() | ( | size_type | i | ) | const

Parameters:

  | i | index of the element

template<class T, class A>
template<class AT >

BOOST_UBLAS_INLINE vector& boost::numeric::ublas::vector< T, A >::operator*= | ( | const AT & | at | ) |

Template Parameters:

  | AE | is the type of the vector_expression

Parameters:

  | at | is a const reference to the scalar

Returns:
  a reference to the resulting vector

template<class T, class A>
template<class C >

BOOST_UBLAS_INLINE vector& boost::numeric::ublas::vector< T, A >::operator+= | ( | const vector_container< C > & | v | ) |

Template Parameters:

  | AE | is the type of the vector_expression

Parameters:

  | ae | is a const reference to the vector_expression

Returns:
  a reference to the resulting vector

template<class T, class A>
template<class AE >

BOOST_UBLAS_INLINE vector& boost::numeric::ublas::vector< T, A >::operator+= | ( | const vector_expression< AE > & | ae | ) |

Template Parameters:

  | AE | is the type of the vector_expression

Parameters:

  | ae | is a const reference to the vector_expression

Returns:
  a reference to the resulting vector

template<class T, class A>
template<class C >

BOOST_UBLAS_INLINE vector& boost::numeric::ublas::vector< T, A >::operator-= | ( | const vector_container< C > & | v | ) |

Template Parameters:

  | AE | is the type of the vector_expression

Parameters:

  | ae | is a const reference to the vector_expression

Returns:
  a reference to the resulting vector

template<class T, class A>
template<class AE >

BOOST_UBLAS_INLINE vector& boost::numeric::ublas::vector< T, A >::operator-= | ( | const vector_expression< AE > & | ae | ) |

Template Parameters:

  | AE | is the type of the vector_expression

Parameters:

  | ae | is a const reference to the vector_expression

template<class T, class A>
template<class AT >

BOOST_UBLAS_INLINE vector& boost::numeric::ublas::vector< T, A >::operator/= | ( | const AT & | at | ) |

Template Parameters:

  | AE | is the type of the vector_expression

Parameters:

  | at | is a const reference to the scalar

Returns:
  a reference to the resulting vector

template<class T, class A>
template<class AE >

BOOST_UBLAS_INLINE vector& boost::numeric::ublas::vector< T, A >::operator= | ( | const vector_expression< AE > & | ae | ) |

Template Parameters:

  | AE | is the type of the vector_expression

Parameters:

  | ae | is a const reference to the vector_expression

Returns:
  a reference to the resulting vector

Reimplemented in boost::numeric::ublas::bounded_vector< T, N >.

template<class T, class A>
template<class C >

BOOST_UBLAS_INLINE vector& boost::numeric::ublas::vector< T, A >::operator= | ( | const vector_container< C > & | v | ) |

Parameters:

  | v | is the source vector container

Returns:
  a reference to a vector (i.e. the destination vector)

Reimplemented in boost::numeric::ublas::bounded_vector< T, N >.

template<class T, class A>

BOOST_UBLAS_INLINE vector& boost::numeric::ublas::vector< T, A >::operator= | ( | const vector< T, A > & | v | ) |

Parameters:

  | v | is the source vector

Returns:
  a reference to a vector (i.e. the destination vector)

Reimplemented in boost::numeric::ublas::permutation_matrix< T, A >.

template<class T, class A>

BOOST_UBLAS_INLINE reference boost::numeric::ublas::vector< T, A >::operator[] | ( | size_type | i | ) |

Parameters:

  | i | index of the element

template<class T, class A>

BOOST_UBLAS_INLINE const_reference boost::numeric::ublas::vector< T, A >::operator[] | ( | size_type | i | ) | const

Parameters:

  | i | index of the element

template<class T, class A>
template<class AE >

BOOST_UBLAS_INLINE vector& boost::numeric::ublas::vector< T, A >::plus_assign | ( | const vector_expression< AE > & | ae | ) |

Template Parameters:

  | AE | is the type of the vector_expression

Parameters:

  | ae | is a const reference to the vector_expression

Returns:
  a reference to the resulting vector

template<class T, class A>

BOOST_UBLAS_INLINE void boost::numeric::ublas::vector< T, A >::resize | ( | size_type | size,
|  | bool | preserve = `true` |
| ) |  |  |

Parameters:

  | size | new size of the vector
  | preserve | if true, keep values

template<class T, class A>
template<class Archive >

void boost::numeric::ublas::vector< T, A >::serialize | ( | Archive & | ar,
|  | const unsigned | int |
| ) |  |  |

Serialize a vector into and archive as defined in Boost

Parameters:

  | ar | Archive object. Can be a flat file, an XML file or any other stream
  | file_version | Optional file version (not yet used)

template<class T, class A>

BOOST_UBLAS_INLINE void boost::numeric::ublas::vector< T, A >::swap | ( | vector< T, A > & | v | ) |

Parameters:

  | v | is the vector to be swapped with

## Friends And Related Function Documentation

template<class T, class A>

BOOST_UBLAS_INLINE friend void swap | ( | vector< T, A > & | v1,
|  | vector< T, A > & | v2 |
| ) |  |  | `[friend]`

Parameters:

  | v1 | is the first vector. It takes values from v2
  | v2 | is the second vector It takes values from v1