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TR By Subject: Unsupported Features

Mathematical Special Functions.
Unordered Associative Set (Hash Table).
Unordered Associative Map (Hash Table).

Mathematical Special Functions.

The TR adds 23 special functions (plus float and long double overloads) to header <cmath>. However, at present there is no Boost License compatible implementation of these functions, so these are unsupported by this implementation unless your standard library supports them itself.

namespace std {
namespace tr1 {

// [5.2.1.1] associated Laguerre polynomials:
double assoc_laguerre(unsigned n, unsigned m, double x);
float assoc_laguerref(unsigned n, unsigned m, float x);
long double assoc_laguerrel(unsigned n, unsigned m, long double x);

// [5.2.1.2] associated Legendre functions:
double assoc_legendre(unsigned l, unsigned m, double x);
float assoc_legendref(unsigned l, unsigned m, float x);
long double assoc_legendrel(unsigned l, unsigned m, long double x);

// [5.2.1.3] beta function:
double beta(double x, double y);
float betaf(float x, float y);
long double betal(long double x, long double y);

// [5.2.1.4] (complete) elliptic integral of the first kind:
double comp_ellint_1(double k);
float comp_ellint_1f(float k);
long double comp_ellint_1l(long double k);

// [5.2.1.5] (complete) elliptic integral of the second kind:
double comp_ellint_2(double k);
float comp_ellint_2f(float k);
long double comp_ellint_2l(long double k);

// [5.2.1.6] (complete) elliptic integral of the third kind:
double comp_ellint_3(double k, double nu);
float comp_ellint_3f(float k, float nu);
long double comp_ellint_3l(long double k, long double nu);

// [5.2.1.7] confluent hypergeometric functions:
double conf_hyperg(double a, double c, double x);
float conf_hypergf(float a, float c, float x);
long double conf_hypergl(long double a, long double c, long double x);

// [5.2.1.8] regular modified cylindrical Bessel functions:
double cyl_bessel_i(double nu, double x);
float cyl_bessel_if(float nu, float x);
long double cyl_bessel_il(long double nu, long double x);

// [5.2.1.9] cylindrical Bessel functions (of the first kind):
double cyl_bessel_j(double nu, double x);
float cyl_bessel_jf(float nu, float x);
long double cyl_bessel_jl(long double nu, long double x);

// [5.2.1.10] irregular modified cylindrical Bessel functions:
double cyl_bessel_k(double nu, double x);
float cyl_bessel_kf(float nu, float x);
long double cyl_bessel_kl(long double nu, long double x);

// [5.2.1.11] cylindrical Neumann functions;
// cylindrical Bessel functions (of the second kind):
double cyl_neumann(double nu, double x);
float cyl_neumannf(float nu, float x);
long double cyl_neumannl(long double nu, long double x);

// [5.2.1.12] (incomplete) elliptic integral of the first kind:
double ellint_1(double k, double phi);
float ellint_1f(float k, float phi);
long double ellint_1l(long double k, long double phi);

// [5.2.1.13] (incomplete) elliptic integral of the second kind:
double ellint_2(double k, double phi);
float ellint_2f(float k, float phi);
long double ellint_2l(long double k, long double phi);

// [5.2.1.14] (incomplete) elliptic integral of the third kind:
double ellint_3(double k, double nu, double phi);
float ellint_3f(float k, float nu, float phi);
long double ellint_3l(long double k, long double nu, long double phi);

// [5.2.1.15] exponential integral:
double expint(double x);
float expintf(float x);
long double expintl(long double x);

// [5.2.1.16] Hermite polynomials:
double hermite(unsigned n, double x);
float hermitef(unsigned n, float x);
long double hermitel(unsigned n, long double x);

// [5.2.1.17] hypergeometric functions:
double hyperg(double a, double b, double c, double x);
float hypergf(float a, float b, float c, float x);
long double hypergl(long double a, long double b, long double c, long double x);

// [5.2.1.18] Laguerre polynomials:
double laguerre(unsigned n, double x);
float laguerref(unsigned n, float x);
long double laguerrel(unsigned n, long double x);

// [5.2.1.19] Legendre polynomials:
double legendre(unsigned l, double x);
float legendref(unsigned l, float x);
long double legendrel(unsigned l, long double x);

// [5.2.1.20] Riemann zeta function:
double riemann_zeta(double);
float riemann_zetaf(float);
long double riemann_zetal(long double);

// [5.2.1.21] spherical Bessel functions (of the first kind):
double sph_bessel(unsigned n, double x);
float sph_besself(unsigned n, float x);
long double sph_bessell(unsigned n, long double x);

// [5.2.1.22] spherical associated Legendre functions:
double sph_legendre(unsigned l, unsigned m, double theta);
float sph_legendref(unsigned l, unsigned m, float theta);
long double sph_legendrel(unsigned l, unsigned m, long double theta);

// [5.2.1.23] spherical Neumann functions;
// spherical Bessel functions (of the second kind):
double sph_neumann(unsigned n, double x);
float sph_neumannf(unsigned n, float x);
long double sph_neumannl(unsigned n, long double x);

} // namespace tr1
} // namespace std

Standard Conformity: Not Supported.

Unordered Associative Set (Hash Table).

#include <boost/tr1/unordered_set.hpp>

or

#include <unordered_set>

This is not currently supported by Boost, although that situation is hoped to change soon.

namespace std {
namespace tr1 {

template <class Value, 
         class Hash = hash<Value>, 
         class Pred = std::equal_to<Value>,
         class Alloc = std::allocator<Value> >
class unordered_set;

// [6.3.4.5] Class template unordered_multiset
template <class Value,
         class Hash = hash<Value>,
         class Pred = std::equal_to<Value>,
         class Alloc = std::allocator<Value> >
class unordered_multiset;

template <class Value, class Hash, class Pred, class Alloc>
void swap(unordered_set<Value, Hash, Pred, Alloc>& x,
         unordered_set<Value, Hash, Pred, Alloc>& y);
          
template <class Value, class Hash, class Pred, class Alloc>
void swap(unordered_multiset<Value, Hash, Pred, Alloc>& x,
         unordered_multiset<Value, Hash, Pred, Alloc>& y);

} // namespace tr1
} // namespace std

Configuration: Boost.Config should (automatically) define the macro BOOST_HAS_TR1_UNORDERED_SET if your standard library implements this part of TR1.

Standard Conformity: Not supported.

Unordered Associative Map (Hash Table).

#include <boost/tr1/unordered_map.hpp>

or

#include <unordered_map>

This is not currently supported by Boost, although that situation is hoped to change soon.

namespace std {
namespace tr1 {

// [6.3.4.4] Class template unordered_map
template <class Key,
         class T,
         class Hash = hash<Key>,
         class Pred = std::equal_to<Key>,
         class Alloc = std::allocator<std::pair<const Key, T> > >
class unordered_map;

// [6.3.4.6] Class template unordered_multimap
template <class Key,
         class T,
         class Hash = hash<Key>,
         class Pred = std::equal_to<Key>,
         class Alloc = std::allocator<std::pair<const Key, T> > >
class unordered_multimap;

template <class Key, class T, class Hash, class Pred, class Alloc>
void swap(unordered_map<Key, T, Hash, Pred, Alloc>& x,
         unordered_map<Key, T, Hash, Pred, Alloc>& y);
          
template <class Key, class T, class Hash, class Pred, class Alloc>
void swap(unordered_multimap<Key, T, Hash, Pred, Alloc>& x,
         unordered_multimap<Key, T, Hash, Pred, Alloc>& y);

} // namespace tr1
} // namespace std

Configuration: Boost.Config should (automatically) define the macro BOOST_HAS_TR1_UNORDERED_MAP if your standard library implements this part of TR1.

Standard Conformity: Not supported.

Copyright © 2005 John Maddock

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