c++boost.gifVector

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

int main () {
    using namespace boost::numeric::ublas;
    vector<double> v (3);
    for (int 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 adapted array. unbounded_array<T>

Model of

Vector.

Type requirements

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

Public base classes

vector_expression<vector<T, A> >

Members

Member Description
vector () Allocates an uninitialized vector that holds zero elements.
vector (size_type size) 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) Reallocates a vector to hold size elements. The content of the vector is not preserved.
size_type size () const Returns the size of the vector.
const_reference operator () (size_type i) const Returns a const reference 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 a const reference of the i-th element.
reference operator [] (size_type i) Returns a reference of the i-th element.
vector &operator = (const vector &v) The assignment operator.
vector &assign_temporary (vector &v) Assigns a temporary. May change the vector v.
template<class AE>
vector &operator = (const vector_expression<AE> &ae)
The extended assignment operator.
template<class AE>
vector &assign (const vector_expression<AE> &ae)
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)
A computed assignment operator. Adds the vector expression to the vector.
template<class AE>
vector &plus_assign (const vector_expression<AE> &ae)
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)
A computed assignment operator. Subtracts the vector expression from the vector.
template<class AE>
vector &minus_assign (const vector_expression<AE> &ae)
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)
A computed assignment operator. Multiplies the vector with a scalar.
template<class AT>
vector &operator /= (const AT &at)
A computed assignment operator. Divides the vector through a scalar.
void swap (vector &v) Swaps the contents of the 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 vector.
const_iterator begin () const Returns a const_iterator pointing to the beginning of the vector.
const_iterator end () const Returns a const_iterator pointing to the end of the vector.
iterator begin () Returns a iterator pointing to the beginning of the vector.
iterator end () Returns a iterator pointing to the end of the vector.
const_reverse_iterator rbegin () const Returns a const_reverse_iterator pointing to the beginning of the reversed vector.
const_reverse_iterator rend () const Returns a const_reverse_iterator pointing to the end of the reversed vector.
reverse_iterator rbegin () Returns a reverse_iterator pointing to the beginning of the reversed vector.
reverse_iterator rend () Returns a reverse_iterator pointing to the end of the reversed vector.

Interface

    // Array based vector class 
    template<class T, class A>
    class vector: 
        public vector_expression<vector<T, A> > {
    public:      
        typedef std::size_t size_type;
        typedef std::ptrdiff_t difference_type;
        typedef T value_type;
        typedef const T &const_reference;
        typedef T &reference;
        typedef const T *const_pointer;
        typedef T *pointer;
        typedef F functor_type;
        typedef A array_type;
        typedef const A const_array_type;
        typedef const vector<T, A> const_self_type;
        typedef vector<T, A> self_type;
        typedef const vector_const_reference<const_self_type> const_closure_type;
        typedef vector_reference<self_type> closure_type;
        typedef typename A::const_iterator const_iterator_type;
        typedef typename A::iterator iterator_type;
        typedef dense_tag storage_category;

        // Construction and destruction
        vector ();
        vector (size_type size);
        vector (const vector &v);
        template<class AE>
        vector (const vector_expression<AE> &ae);

        // Accessors
        size_type size () const;
        const_array_type &data () const;
        array_type &data ();

        // Resizing
        void resize (size_type size);

        // Element access
        const_reference operator () (size_type i) const;
        reference operator () (size_type i);

        const_reference operator [] (size_type i) const;
        reference operator [] (size_type i);

        // Assignment
        vector &operator = (const vector &v);
        vector &assign_temporary (vector &v);
        template<class AE>
        vector &operator = (const vector_expression<AE> &ae);
        template<class AE>
        vector &reset (const vector_expression<AE> &ae);
        template<class AE>
        vector &assign (const vector_expression<AE> &ae);
        template<class AE>
        vector &operator += (const vector_expression<AE> &ae);
        template<class AE>
        vector &plus_assign (const vector_expression<AE> &ae);
        template<class AE>
        vector &operator -= (const vector_expression<AE> &ae);
        template<class AE>
        vector &minus_assign (const vector_expression<AE> &ae);
        template<class AT>
        vector &operator *= (const AT &at);
        template<class AT>
        vector &operator /= (const AT &at);

        // Swapping
        void swap (vector &v);
        friend void swap (vector &v1, vector &v2);

        // Element insertion and erasure
        void insert (size_type i, const_reference t);
        void erase (size_type i);
        void clear ();

        class const_iterator;
        class iterator;

        // Element lookup
        const_iterator find (size_type i) const;
        iterator find (size_type i);
        const_iterator find_first (size_type i) const;
        iterator find_first (size_type i);
        const_iterator find_last (size_type i) const;
        iterator find_last (size_type i);

        // Iterators simply are pointers.

        class const_iterator:
            public container_const_reference<vector>,
            public random_access_iterator_base<const_iterator, value_type> {
        public:
            typedef dense_random_access_iterator_tag iterator_category;
            typedef typename vector::difference_type difference_type;
            typedef typename vector::value_type value_type;
            typedef typename vector::const_reference reference;
            typedef typename vector::const_pointer pointer;

            // Construction and destruction
            const_iterator ();
            const_iterator (const vector &v, const const_iterator_type &it);
            const_iterator (const iterator &it):

            // Arithmetic
            const_iterator &operator ++ ();
            const_iterator &operator -- ();
            const_iterator &operator += (difference_type n);
            const_iterator &operator -= (difference_type n);
            difference_type operator - (const const_iterator &it) const;

            // Dereference
            reference operator * () const;

            // Index
            size_type index () const;

            // Assignment 
            const_iterator &operator = (const const_iterator &it);

            // Comparison
            bool operator == (const const_iterator &it) const;
            bool operator < (const const_iterator &it) const;
        };

        const_iterator begin () const;
        const_iterator end () const;

        class iterator:
            public container_reference<vector>,
            public random_access_iterator_base<iterator, value_type> {
        public:
            typedef dense_random_access_iterator_tag iterator_category;
            typedef typename vector::difference_type difference_type;
            typedef typename vector::value_type value_type;
            typedef typename vector::reference reference;
            typedef typename vector::pointer pointer;

            // Construction and destruction
            iterator ();
            iterator (vector &v, const iterator_type &it);

            // Arithmetic
            iterator &operator ++ ();
            iterator &operator -- ();
            iterator &operator += (difference_type n);
            iterator &operator -= (difference_type n);
            difference_type operator - (const iterator &it) const;

            // Dereference
            reference operator * () const;

            // Index
            size_type index () const;

            // Assignment
            iterator &operator = (const iterator &it);

            // Comparison
            bool operator == (const iterator &it) const;
            bool operator < (const const_iterator &it) const;
        };

        iterator begin ();
        iterator end ();

        // Reverse iterator

        typedef reverse_iterator_base<const_iterator> const_reverse_iterator;

        const_reverse_iterator rbegin () const;
        const_reverse_iterator rend () const;

        typedef reverse_iterator_base<iterator> reverse_iterator;

        reverse_iterator rbegin ();
        reverse_iterator rend ();
    }; 

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

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.  

Model of

Vector Expression.

Type requirements

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

Public base classes

vector_expression<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) Resizes a unit_vector to hold size elements.
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.

Interface

    // Unit vector class 
    template<class T>
    class unit_vector: 
        public vector_expression<unit_vector<T> > {
    public:      
        typedef std::size_t size_type;
        typedef std::ptrdiff_t difference_type;
        typedef T value_type;
        typedef const T &const_reference;
        typedef T &reference;
        typedef const T *const_pointer;
        typedef T *pointer;
        typedef const unit_vector<T> const_self_type;
        typedef unit_vector<T> self_type;
        typedef const vector_const_reference<const_self_type> const_closure_type;
        typedef size_type const_iterator_type;
        typedef packed_tag storage_category;

        // Construction and destruction
        unit_vector ();
        unit_vector (size_type size, size_type index);
        unit_vector (const unit_vector &v);

        // Accessors
        size_type size () const;
        size_type index () const;

        // Resizing
        void resize (size_type size);

        // Element access
        const_reference operator () (size_type i) const;

        const_reference operator [] (size_type i) const;

        // Assignment
        unit_vector &operator = (const unit_vector &v);
        unit_vector &assign_temporary (unit_vector &v);

        // Swapping
        void swap (unit_vector &v);
        friend void swap (unit_vector &v1, unit_vector &v2);

        class const_iterator;

        // Element lookup
        const_iterator find_first (size_type i) const;
        const_iterator find_last (size_type i) const;

        // Iterator simply is an index.

        class const_iterator:
            public container_const_reference<unit_vector>,
            public random_access_iterator_base<const_iterator, value_type> {
        public:
            typedef packed_random_access_iterator_tag iterator_category;
            typedef typename unit_vector::difference_type difference_type;
            typedef typename unit_vector::value_type value_type;
            typedef typename unit_vector::const_reference reference;
            typedef typename unit_vector::const_pointer pointer;

            // Construction and destruction
            const_iterator ();
            const_iterator (const unit_vector &v, const const_iterator_type &it);

            // Arithmetic
            const_iterator &operator ++ ();
            const_iterator &operator -- ();
            const_iterator &operator += (difference_type n);
            const_iterator &operator -= (difference_type n);
            difference_type operator - (const const_iterator &it) const;

            // Dereference
            reference operator * () const;

            // Index
            size_type index () const;

            // Assignment 
            const_iterator &operator = (const const_iterator &it);

            // Comparison
            bool operator == (const const_iterator &it) const;
            bool operator < (const const_iterator &it) const;
        };

        typedef const_iterator iterator;

        const_iterator begin () const;
        const_iterator end () const;

        // Reverse iterator

        typedef reverse_iterator_base<const_iterator> const_reverse_iterator;

        const_reverse_iterator rbegin () const;
        const_reverse_iterator rend () const;
    };

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

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.  

Model of

Vector Expression.

Type requirements

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

Public base classes

vector_expression<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) Resizes a zero_vector to hold size elements.
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.

Interface

    // Zero vector class 
    template<class T>
    class zero_vector: 
        public vector_expression<zero_vector<T> > {
    public:      
        typedef std::size_t size_type;
        typedef std::ptrdiff_t difference_type;
        typedef T value_type;
        typedef const T &const_reference;
        typedef T &reference;
        typedef const T *const_pointer;
        typedef T *pointer;
        typedef const zero_vector<T> const_self_type;
        typedef zero_vector<T> self_type;
        typedef const vector_const_reference<const_self_type> const_closure_type;
        typedef size_type const_iterator_type;
        typedef sparse_tag storage_category;

        // Construction and destruction
        zero_vector ();
        zero_vector (size_type size);
        zero_vector (const zero_vector &v);

        // Accessors
        size_type size () const;
        size_type index () const;

        // Resizing
        void resize (size_type size);

        // Element access
        const_reference operator () (size_type i) const;

        const_reference operator [] (size_type i) const;

        // Assignment
        zero_vector &operator = (const zero_vector &v);
        zero_vector &assign_temporary (zero_vector &v);

        // Swapping
        void swap (zero_vector &v);
        friend void swap (zero_vector &v1, zero_vector &v2);

        class const_iterator;

        // Element lookup
        const_iterator find_first (size_type i) const;
        const_iterator find_last (size_type i) const;

        // Iterator simply is an index.

        class const_iterator:
            public container_const_reference<zero_vector>,
            public bidirectional_iterator_base<const_iterator, value_type> {
        public:
            typedef sparse_bidirectional_iterator_tag iterator_category;
            typedef typename zero_vector::difference_type difference_type;
            typedef typename zero_vector::value_type value_type;
            typedef typename zero_vector::const_reference reference;
            typedef typename zero_vector::const_pointer pointer;

            // Construction and destruction
            const_iterator ();
            const_iterator (const zero_vector &v, const const_iterator_type &it);

            // Arithmetic
            const_iterator &operator ++ ();
            const_iterator &operator -- ();

            // Dereference
            reference operator * () const;

            // Index
            size_type index () const;

            // Assignment 
            const_iterator &operator = (const const_iterator &it);

            // Comparison
            bool operator == (const const_iterator &it) const;
        };

        typedef const_iterator iterator;

        const_iterator begin () const;
        const_iterator end () const;

        // Reverse iterator

        typedef reverse_iterator_base<const_iterator> const_reverse_iterator;

        const_reverse_iterator rbegin () const;
        const_reverse_iterator rend () const;
    };

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: 8/3/2002