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more::num Namespace Reference

Numerical templates (STL style). More...

Compounds

• struct more::num::assert_
• struct more::num::assert_< I, I >
• struct more::num::euclidian_metric
• struct more::num::index
• class more::num::matrin
• struct more::num::mutable_
• struct more::num::mutable_< const T >
• struct more::num::point_map
• struct more::num::point_map::vicinity_filter
• class more::num::tensin
• class more::num::vectin

Typedefs

• typedef unsigned long pindex_type

Functions

• template<typename T, typename Function> std::pair< T, bool > bisection_root (Function f, T xl, T xh, T precx, T precf, int maxit=128)
• template<typename T, typename Function, typename OutputIterator> std::pair< OutputIterator,
  bool > bisection_roots (Function f, T xl, T xh, T dx, int n, T precx, T precf, OutputIterator it_out)
• template<typename T, typename Function, typename OutputIterator> std::pair< OutputIterator,
  bool > bisection_roots (Function f, T xl, T xh, T dx, int n, OutputIterator it_out)
• template<typename T> T assoc_power (T x, unsigned int y)
• template<typename T> T assoc_power (T x, int y)
• template<typename Iterator, typename Iterator2> scalar_type_< typename std::iterator_traits<
  Iterator >::value_type
  >::eval dot (Iterator first, Iterator last, Iterator2 first2, typename scalar_type_< typename std::iterator_traits< Iterator >::value_type >::eval init=0.0)
• template<typename Iterator, typename Iterator2, typename Rank2Iterator> scalar_type_< typename std::iterator_traits<
  Iterator >::value_type
  >::eval dot (Iterator first, Iterator last, Iterator2 first2, Rank2Iterator it_metric, typename scalar_type_< typename std::iterator_traits< Iterator >::value_type >::eval init=0.0)
• template<typename Iterator> norm_type_< typename std::iterator_traits<
  Iterator >::value_type
  >::eval norm (Iterator first, Iterator last, typename norm_type_< typename std::iterator_traits< Iterator >::value_type >::eval init=zero)
• template<typename Iterator, typename Rank2Iterator> norm_type_< typename std::iterator_traits<
  Iterator >::value_type
  >::eval norm (Iterator first, Iterator last, Rank2Iterator it_metric, typename norm_type_< typename std::iterator_traits< Iterator >::value_type >::eval init=0.0)
• template<typename Iterator> void normalize (Iterator first, Iterator last)
• template<typename Iterator, typename Rank2Iterator> void normalize (Iterator first, Iterator last, Rank2Iterator it_metric)
• template<typename Iterator1, typename Iterator2, typename Scale> void assign_add_scaled (Iterator1 it1, Iterator1 it1_end, Iterator2 it2, Scale scale)
• template<typename Rank2Iterator> void orthonormalize (Rank2Iterator first, Rank2Iterator last)
• template<typename Rank2Iterator, typename Rank2Iterator2> void orthonormalize (Rank2Iterator first, Rank2Iterator last, Rank2Iterator2 it_metric)
• template<typename Iterator, typename Rank2Iterator> void project (Iterator first, Iterator last, Rank2Iterator it_space_begin, Rank2Iterator it_space_end)
• template<typename Rank2Iterator, typename Rank2Iterator2> void project_collection (Rank2Iterator first, Rank2Iterator last, Rank2Iterator2 it_space_begin, Rank2Iterator2 it_space_end)
• template<typename Iterator, typename Iterator2> times_type_< typename std::iterator_traits<
  Iterator >::value_type, typename
  std::iterator_traits< Iterator2
  >::value_type >::eval vector_vector_product (Iterator it, Iterator it_end, Iterator2 it2)
• template<typename Rank2Iterator, typename Iterator> void multiply_matrix_to_vector (Rank2Iterator it, Rank2Iterator it_end, Iterator it_dest, Iterator it_dest_end)
• template<typename Rank2Iterator, typename Rank2Iterator2> void multiply_matrix_to_matrix (Rank2Iterator it, Rank2Iterator it_end, Rank2Iterator2 it2, Rank2Iterator2 it2_end)
• template<typename T, int D> pindex_type fold (more::vectin< T, D > const &x)
• template<typename T, int N, int M> matrin< T, N, M > operator- (const matrin< T, N, M > &A)
• template<typename T, int N, int M> matrin< T, N, M > operator+ (const matrin< T, N, M > &A, const matrin< T, N, M > &B)
• template<typename T, int N, int M> matrin< T, N, M > operator- (const matrin< T, N, M > &A, const matrin< T, N, M > &B)
• template<typename T, int N, int M, int L> matrin< T, N, L > operator * (const matrin< T, N, M > &A, const matrin< T, M, L > &B)
• template<typename T, int N, int M> vectin< T, N > operator * (const matrin< T, N, M > &A, const vectin< T, M > &x)
• template<typename T> int enumerator (T x)
• template<class T, int N> vectin< T, N > operator+ (vectin< T, N > x, vectin< T, N > y)
• template<class T, int N> vectin< T, N > operator- (vectin< T, N > x, vectin< T, N > y)
• template<class T, int N> vectin< T, N > operator- (vectin< T, N > x)
• template<typename T, typename U, int N> vectin< typename times_type_<
  T, U >::eval, N > operator * (const vectin< T, N > &x, U y)
• template<typename T, typename U, int N> vectin< typename times_type_<
  T, U >::eval, N > operator * (T y, const vectin< U, N > &x)
• template<class T, int N> vectin< T, N > operator/ (vectin< T, N > x, T y)
• template<class T, int N> bool operator< (vectin< T, N > x, vectin< T, N > y)
• template<class T, int N> bool operator== (vectin< T, N > x, vectin< T, N > y)
• template<class T> vectin< T, 2 > makevec (T x0, T x1)
• template<class T> vectin< T, 3 > makevec (T x0, T x1, T x2)
• template<typename T, int N> std::ostream & operator<< (std::ostream &os, vectin< T, N > x)
• template<typename T, int N> norm_type_< T >::eval metric_distance (vectin< T, N > const &x, vectin< T, N > const &y)
• template<typename T, int N> norm_type_< T >::eval metric_norm (vectin< T, N > const &x, vectin< T, N > const &y)
• template<typename T, int N> norm_type_< T >::eval norm (vectin< T, N > const &x)
• template<typename T, int N> norm_type_< T >::eval abs (vectin< T, N > const &x)
• template<typename T, int N> int finite (vectin< T, N > const &x)
• template<typename T, int N> T component (vectin< T, N > const &x, int i)
• template<typename T, int N> void swap (vectin< T, N > &x, vectin< T, N > &y)
• template<typename T, int N> scalar_type_< T >::eval dot (vectin< T, N > const &x, vectin< T, N > const &y)
• template<typename T, typename U> vectin< typename times_type_<
  T, U >::eval, 3 > crossprod (const vectin< T, 3 > &x, const vectin< U, 3 > &y)
• template<typename T, typename U, int N> times_type_< T, U >::eval dotprod (const vectin< T, N > &x, const vectin< U, N > &y)

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Detailed Description

Numerical templates (STL style).

Containers, iterators and algorithms for for numerical purposes.

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Typedef Documentation

typedef unsigned long more::num::pindex_type

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Function Documentation

template<typename T, int N> norm_type_<T>::eval abs (  vectin< T, N > const &    x )  [inline]

template<typename Iterator1, typename Iterator2, typename Scale> void assign_add_scaled (  Iterator1    it1, Iterator1    it1_end, Iterator2    it2, Scale    scale )  [inline]

template<typename T> T assoc_power (  T    x, int    y )  [inline]

template<typename T> T assoc_power (  T    x, unsigned int    y )  [inline]

template<typename T, typename Function> std::pair<T, bool> bisection_root (  Function    f, T    xl, T    xh, T    precx, T    precf, int    maxit = 128 )

template<typename T, typename Function, typename OutputIterator> std::pair<OutputIterator, bool> bisection_roots (  Function    f, T    xl, T    xh, T    dx, int    n, OutputIterator    it_out )

template<typename T, typename Function, typename OutputIterator> std::pair<OutputIterator, bool> bisection_roots (  Function    f, T    xl, T    xh, T    dx, int    n, T    precx, T    precf, OutputIterator    it_out )

template<typename T, int N> T component (  vectin< T, N > const &    x, int    i )  [inline]

template<typename T, typename U> vectin<typename times_type_<T, U>::eval, 3> crossprod (  const vectin< T, 3 > &    x, const vectin< U, 3 > &    y )  [inline]

template<typename T, int N> scalar_type_<T>::eval dot (  vectin< T, N > const &    x, vectin< T, N > const &    y )  [inline]

template<typename Iterator, typename Iterator2, typename Rank2Iterator> scalar_type_<typename std::iterator_traits<Iterator>::value_type>::eval dot (  Iterator    first, Iterator    last, Iterator2    first2, Rank2Iterator    it_metric, typename scalar_type_< typename std::iterator_traits< Iterator >::value_type >::eval    init = 0.0 )  [inline]

template<typename Iterator, typename Iterator2> scalar_type_<typename std::iterator_traits<Iterator>::value_type>::eval dot (  Iterator    first, Iterator    last, Iterator2    first2, typename scalar_type_< typename std::iterator_traits< Iterator >::value_type >::eval    init = 0.0 )  [inline]

template<typename T, typename U, int N> times_type_<T, U>::eval dotprod (  const vectin< T, N > &    x, const vectin< U, N > &    y )  [inline]

template<typename T> int enumerator (  T    x )  [inline]

template<typename T, int N> int finite (  vectin< T, N > const &    x )  [inline]

template<typename T, int D> pindex_type fold (  more::vectin< T, D > const &    x )  [inline]

template<class T> vectin<T, 3> makevec (  T    x0, T    x1, T    x2 )

template<class T> vectin<T, 2> makevec (  T    x0, T    x1 )

template<typename T, int N> norm_type_<T>::eval metric_distance (  vectin< T, N > const &    x, vectin< T, N > const &    y )  [inline]

template<typename T, int N> norm_type_<T>::eval metric_norm (  vectin< T, N > const &    x, vectin< T, N > const &    y )  [inline]

template<typename Rank2Iterator, typename Rank2Iterator2> void multiply_matrix_to_matrix (  Rank2Iterator    it, Rank2Iterator    it_end, Rank2Iterator2    it2, Rank2Iterator2    it2_end )  [inline]

template<typename Rank2Iterator, typename Iterator> void multiply_matrix_to_vector (  Rank2Iterator    it, Rank2Iterator    it_end, Iterator    it_dest, Iterator    it_dest_end )  [inline]

template<typename T, int N> norm_type_<T>::eval norm (  vectin< T, N > const &    x )  [inline]

template<typename Iterator, typename Rank2Iterator> norm_type_<typename std::iterator_traits<Iterator>::value_type>::eval norm (  Iterator    first, Iterator    last, Rank2Iterator    it_metric, typename norm_type_< typename std::iterator_traits< Iterator >::value_type >::eval    init = 0.0 )  [inline]

template<typename Iterator> norm_type_<typename std::iterator_traits<Iterator>::value_type>::eval norm (  Iterator    first, Iterator    last, typename norm_type_< typename std::iterator_traits< Iterator >::value_type >::eval    init = zero )  [inline]

template<typename Iterator, typename Rank2Iterator> void normalize (  Iterator    first, Iterator    last, Rank2Iterator    it_metric )  [inline]

template<typename Iterator> void normalize (  Iterator    first, Iterator    last )  [inline]

template<typename T, typename U, int N> vectin<typename times_type_<T, U>::eval, N> operator * (  T    y, const vectin< U, N > &    x )  [inline]

template<typename T, typename U, int N> vectin<typename times_type_<T, U>::eval, N> operator * (  const vectin< T, N > &    x, U    y )  [inline]

template<typename T, int N, int M> vectin<T, N> operator * (  const matrin< T, N, M > &    A, const vectin< T, M > &    x )  [inline]

template<typename T, int N, int M, int L> matrin<T, N, L> operator * (  const matrin< T, N, M > &    A, const matrin< T, M, L > &    B )  [inline]

template<class T, int N> vectin<T, N> operator+ (  vectin< T, N >    x, vectin< T, N >    y )  [inline]

template<typename T, int N, int M> matrin<T, N, M> operator+ (  const matrin< T, N, M > &    A, const matrin< T, N, M > &    B )  [inline]

template<class T, int N> vectin<T, N> operator- (  vectin< T, N >    x )  [inline]

template<class T, int N> vectin<T, N> operator- (  vectin< T, N >    x, vectin< T, N >    y )  [inline]

template<typename T, int N, int M> matrin<T, N, M> operator- (  const matrin< T, N, M > &    A, const matrin< T, N, M > &    B )  [inline]

template<typename T, int N, int M> matrin<T, N, M> operator- (  const matrin< T, N, M > &    A )  [inline]

template<class T, int N> vectin<T, N> operator/ (  vectin< T, N >    x, T    y )  [inline]

template<class T, int N> bool operator< (  vectin< T, N >    x, vectin< T, N >    y )  [inline]

template<typename T, int N> std::ostream& operator<< (  std::ostream &    os, vectin< T, N >    x )  [inline]

template<class T, int N> bool operator== (  vectin< T, N >    x, vectin< T, N >    y )  [inline]

template<typename Rank2Iterator, typename Rank2Iterator2> void orthonormalize (  Rank2Iterator    first, Rank2Iterator    last, Rank2Iterator2    it_metric )  [inline]

template<typename Rank2Iterator> void orthonormalize (  Rank2Iterator    first, Rank2Iterator    last )  [inline]

template<typename Iterator, typename Rank2Iterator> void project (  Iterator    first, Iterator    last, Rank2Iterator    it_space_begin, Rank2Iterator    it_space_end )  [inline]

template<typename Rank2Iterator, typename Rank2Iterator2> void project_collection (  Rank2Iterator    first, Rank2Iterator    last, Rank2Iterator2    it_space_begin, Rank2Iterator2    it_space_end )  [inline]

template<typename T, int N> void swap (  vectin< T, N > &    x, vectin< T, N > &    y )  [inline]

template<typename Iterator, typename Iterator2> times_type_< typename std::iterator_traits<Iterator>::value_type, typename std::iterator_traits<Iterator2>::value_type >::eval vector_vector_product (  Iterator    it, Iterator    it_end, Iterator2    it2 )  [inline]

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