boost::math::tools Namespace Reference

Namespaces
	detail

Classes
class	eps_tolerance
struct	equal_ceil
struct	equal_floor
struct	equal_nearest_integer
class	polynomial
struct	promote_arg
struct	promote_arg< __gmp_expr< T, U > >
struct	promote_arg< double >
struct	promote_arg< float >
struct	promote_arg< int >
struct	promote_arg< long double >
struct	promote_args
struct	promote_args_2
struct	promote_args_2< double, double >
struct	promote_args_2< double, float >
struct	promote_args_2< double, int >
struct	promote_args_2< double, long double >
struct	promote_args_2< float, double >
struct	promote_args_2< float, float >
struct	promote_args_2< float, int >
struct	promote_args_2< float, long double >
struct	promote_args_2< int, double >
struct	promote_args_2< int, float >
struct	promote_args_2< int, int >
struct	promote_args_2< int, long double >
struct	promote_args_2< long double, double >
struct	promote_args_2< long double, float >
struct	promote_args_2< long double, int >
struct	promote_args_2< long double, long double >
struct	promote_args_permissive
class	stats

Functions
template<>
int	digits< ::boost::math::ef::e_float > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(::boost::math::ef::e_float))
template<>
inline::boost::math::ef::e_float	root_epsilon< ::boost::math::ef::e_float > ()
template<>
inline::boost::math::ef::e_float	forth_root_epsilon< ::boost::math::ef::e_float > ()
template<>
int	digits< mpfr_class > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr_class))
template<>
mpfr_class	real_cast< mpfr_class, long long > (long long t)
template<>
unsigned	real_cast< unsigned, mpfr_class > (mpfr_class t)
template<>
int	real_cast< int, mpfr_class > (mpfr_class t)
template<>
double	real_cast< double, mpfr_class > (mpfr_class t)
template<>
float	real_cast< float, mpfr_class > (mpfr_class t)
template<>
long	real_cast< long, mpfr_class > (mpfr_class t)
template<>
long long	real_cast< long long, mpfr_class > (mpfr_class t)
template<>
mpfr_class	max_value< mpfr_class > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr_class))
template<>
mpfr_class	min_value< mpfr_class > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr_class))
template<>
mpfr_class	log_max_value< mpfr_class > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr_class))
template<>
mpfr_class	log_min_value< mpfr_class > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr_class))
template<>
mpfr_class	epsilon< mpfr_class > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr_class))
template<>
int	digits< mpfr::mpreal > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr::mpreal))
template<>
mpfr::mpreal	real_cast< mpfr::mpreal, long long > (long long t)
template<>
long long	real_cast< long long, mpfr::mpreal > (mpfr::mpreal t)
template<>
mpfr::mpreal	max_value< mpfr::mpreal > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr::mpreal))
template<>
mpfr::mpreal	min_value< mpfr::mpreal > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr::mpreal))
template<>
mpfr::mpreal	log_max_value< mpfr::mpreal > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr::mpreal))
template<>
mpfr::mpreal	log_min_value< mpfr::mpreal > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr::mpreal))
template<>
mpfr::mpreal	epsilon< mpfr::mpreal > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr::mpreal))
template<>
int	digits< boost::math::ntl::RR > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(boost::math::ntl::RR))
template<>
float	real_cast< float, boost::math::ntl::RR > (boost::math::ntl::RR t)
template<>
double	real_cast< double, boost::math::ntl::RR > (boost::math::ntl::RR t)
template<>
long double	real_cast< long double, boost::math::ntl::RR > (boost::math::ntl::RR t)
template<>
boost::math::ntl::RR	real_cast< boost::math::ntl::RR, boost::math::ntl::RR > (boost::math::ntl::RR t)
template<>
unsigned	real_cast< unsigned, boost::math::ntl::RR > (boost::math::ntl::RR t)
template<>
int	real_cast< int, boost::math::ntl::RR > (boost::math::ntl::RR t)
template<>
long	real_cast< long, boost::math::ntl::RR > (boost::math::ntl::RR t)
template<>
long long	real_cast< long long, boost::math::ntl::RR > (boost::math::ntl::RR t)
template<>
boost::math::ntl::RR	max_value< boost::math::ntl::RR > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(boost::math::ntl::RR))
template<>
boost::math::ntl::RR	min_value< boost::math::ntl::RR > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(boost::math::ntl::RR))
template<>
boost::math::ntl::RR	log_max_value< boost::math::ntl::RR > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(boost::math::ntl::RR))
template<>
boost::math::ntl::RR	log_min_value< boost::math::ntl::RR > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(boost::math::ntl::RR))
template<>
boost::math::ntl::RR	epsilon< boost::math::ntl::RR > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(boost::math::ntl::RR))
template<>
concepts::real_concept	make_big_value< concepts::real_concept > (boost::floatmax_t val, const char *, mpl::false_ const &, mpl::false_ const &)
template<>
concepts::real_concept	max_value< concepts::real_concept > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::real_concept))
template<>
concepts::real_concept	min_value< concepts::real_concept > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::real_concept))
template<>
concepts::real_concept	log_max_value< concepts::real_concept > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::real_concept))
template<>
concepts::real_concept	log_min_value< concepts::real_concept > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::real_concept))
template<>
concepts::real_concept	epsilon< concepts::real_concept > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::real_concept))
template<>
int	digits< concepts::real_concept > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::real_concept))
template<>
concepts::std_real_concept	make_big_value< concepts::std_real_concept > (boost::floatmax_t val, const char *, mpl::false_ const &, mpl::false_ const &)
template<>
concepts::std_real_concept	max_value< concepts::std_real_concept > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept))
template<>
concepts::std_real_concept	min_value< concepts::std_real_concept > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept))
template<>
concepts::std_real_concept	log_max_value< concepts::std_real_concept > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept))
template<>
concepts::std_real_concept	log_min_value< concepts::std_real_concept > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept))
template<>
int	digits< concepts::std_real_concept > (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept))
template<class T >
int	digits (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T))
template<class T >
T	epsilon (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T))
template<class T >
BOOST_CONSTEXPR_OR_CONST T	make_big_value (boost::floatmax_t v, const char *, mpl::true_ const &, mpl::false_ const &)
template<class T >
BOOST_CONSTEXPR_OR_CONST T	make_big_value (boost::floatmax_t v, const char *, mpl::true_ const &, mpl::true_ const &)
template<class T >
T	make_big_value (boost::floatmax_t, const char *s, mpl::false_ const &, mpl::false_ const &)
template<class T >
BOOST_CONSTEXPR const char *	make_big_value (boost::floatmax_t, const char *s, mpl::false_ const &, mpl::true_ const &)
template<class T >
T max	BOOST_PREVENT_MACRO_SUBSTITUTION (T a, T b, T c)
template<class T >
T max	BOOST_PREVENT_MACRO_SUBSTITUTION (T a, T b, T c, T d)
template<class Gen , class U >
detail::fraction_traits< Gen > ::result_type	continued_fraction_b (Gen &g, const U &factor, boost::uintmax_t &max_terms)
template<class Gen , class U >
detail::fraction_traits< Gen > ::result_type	continued_fraction_b (Gen &g, const U &factor)
template<class Gen >
detail::fraction_traits< Gen > ::result_type	continued_fraction_b (Gen &g, int bits)
template<class Gen >
detail::fraction_traits< Gen > ::result_type	continued_fraction_b (Gen &g, int bits, boost::uintmax_t &max_terms)
template<class Gen , class U >
detail::fraction_traits< Gen > ::result_type	continued_fraction_a (Gen &g, const U &factor, boost::uintmax_t &max_terms)
template<class Gen , class U >
detail::fraction_traits< Gen > ::result_type	continued_fraction_a (Gen &g, const U &factor)
template<class Gen >
detail::fraction_traits< Gen > ::result_type	continued_fraction_a (Gen &g, int bits)
template<class Gen >
detail::fraction_traits< Gen > ::result_type	continued_fraction_a (Gen &g, int bits, boost::uintmax_t &max_terms)
template<class F , class T >
std::pair< T, T >	brent_find_minima (F f, T min, T max, int bits, boost::uintmax_t &max_iter)
template<class F , class T >
std::pair< T, T >	brent_find_minima (F f, T min, T max, int digits)
template<class T >
T	chebyshev_coefficient (unsigned n, unsigned m)
template<class Seq >
Seq	polynomial_to_chebyshev (const Seq &s)
template<class Seq , class T >
T	evaluate_chebyshev (const Seq &a, const T &x)
template<class T >
polynomial< T >	operator+ (const polynomial< T > &a, const polynomial< T > &b)
template<class T >
polynomial< T >	operator- (const polynomial< T > &a, const polynomial< T > &b)
template<class T >
polynomial< T >	operator* (const polynomial< T > &a, const polynomial< T > &b)
template<class T , class U >
polynomial< T >	operator+ (const polynomial< T > &a, const U &b)
template<class T , class U >
polynomial< T >	operator- (const polynomial< T > &a, const U &b)
template<class T , class U >
polynomial< T >	operator* (const polynomial< T > &a, const U &b)
template<class U , class T >
polynomial< T >	operator+ (const U &a, const polynomial< T > &b)
template<class U , class T >
polynomial< T >	operator- (const U &a, const polynomial< T > &b)
template<class U , class T >
polynomial< T >	operator* (const U &a, const polynomial< T > &b)
template<class charT , class traits , class T >
std::basic_ostream< charT, traits > &	operator<< (std::basic_ostream< charT, traits > &os, const polynomial< T > &poly)
template<class T >
int	digits (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(T))
template<class T >
T	max_value (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T))
template<class T >
T	min_value (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T))
template<class T >
T	log_max_value (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T))
template<class T >
T	log_min_value (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T))
template<class T >
T	epsilon (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(T))
template<class T >
T	root_epsilon ()
template<class T >
T	cbrt_epsilon ()
template<class T >
T	forth_root_epsilon ()
template<class T , class U >
U	evaluate_polynomial (const T *poly, U const &z, std::size_t count)
template<std::size_t N, class T , class V >
V	evaluate_polynomial (const T(&a)[N], const V &val)
template<std::size_t N, class T , class V >
V	evaluate_polynomial (const boost::array< T, N > &a, const V &val)
template<class T , class U >
U	evaluate_even_polynomial (const T *poly, U z, std::size_t count)
template<std::size_t N, class T , class V >
V	evaluate_even_polynomial (const T(&a)[N], const V &z)
template<std::size_t N, class T , class V >
V	evaluate_even_polynomial (const boost::array< T, N > &a, const V &z)
template<class T , class U >
U	evaluate_odd_polynomial (const T *poly, U z, std::size_t count)
template<std::size_t N, class T , class V >
V	evaluate_odd_polynomial (const T(&a)[N], const V &z)
template<std::size_t N, class T , class V >
V	evaluate_odd_polynomial (const boost::array< T, N > &a, const V &z)
template<class T , class U , class V >
V	evaluate_rational (const T *num, const U *denom, const V &z_, std::size_t count)
template<std::size_t N, class T , class U , class V >
V	evaluate_rational (const T(&a)[N], const U(&b)[N], const V &z)
template<std::size_t N, class T , class U , class V >
V	evaluate_rational (const boost::array< T, N > &a, const boost::array< U, N > &b, const V &z)
template<class To , class T >
To	real_cast (T t)
template<class F , class T , class Tol , class Policy >
std::pair< T, T >	bisect (F f, T min, T max, Tol tol, boost::uintmax_t &max_iter, const Policy &pol)
template<class F , class T , class Tol >
std::pair< T, T >	bisect (F f, T min, T max, Tol tol, boost::uintmax_t &max_iter)
template<class F , class T , class Tol >
std::pair< T, T >	bisect (F f, T min, T max, Tol tol)
template<class F , class T >
T	newton_raphson_iterate (F f, T guess, T min, T max, int digits, boost::uintmax_t &max_iter)
template<class F , class T >
T	newton_raphson_iterate (F f, T guess, T min, T max, int digits)
template<class F , class T >
T	halley_iterate (F f, T guess, T min, T max, int digits, boost::uintmax_t &max_iter)
template<class F , class T >
T	halley_iterate (F f, T guess, T min, T max, int digits)
template<class F , class T >
T	schroeder_iterate (F f, T guess, T min, T max, int digits, boost::uintmax_t &max_iter)
template<class F , class T >
T	schroeder_iterate (F f, T guess, T min, T max, int digits)
template<class Functor , class U , class V >
Functor::result_type	sum_series (Functor &func, const U &factor, boost::uintmax_t &max_terms, const V &init_value)
template<class Functor , class U >
Functor::result_type	sum_series (Functor &func, const U &factor, boost::uintmax_t &max_terms)
template<class Functor , class U >
Functor::result_type	sum_series (Functor &func, int bits, boost::uintmax_t &max_terms, const U &init_value)
template<class Functor >
Functor::result_type	sum_series (Functor &func, int bits)
template<class Functor >
Functor::result_type	sum_series (Functor &func, int bits, boost::uintmax_t &max_terms)
template<class Functor , class U >
Functor::result_type	sum_series (Functor &func, int bits, const U &init_value)
template<class Functor >
Functor::result_type	kahan_sum_series (Functor &func, int bits)
template<class Functor >
Functor::result_type	kahan_sum_series (Functor &func, int bits, boost::uintmax_t &max_terms)
template<class F , class T , class Tol , class Policy >
std::pair< T, T >	toms748_solve (F f, const T &ax, const T &bx, const T &fax, const T &fbx, Tol tol, boost::uintmax_t &max_iter, const Policy &pol)
template<class F , class T , class Tol >
std::pair< T, T >	toms748_solve (F f, const T &ax, const T &bx, const T &fax, const T &fbx, Tol tol, boost::uintmax_t &max_iter)
template<class F , class T , class Tol , class Policy >
std::pair< T, T >	toms748_solve (F f, const T &ax, const T &bx, Tol tol, boost::uintmax_t &max_iter, const Policy &pol)
template<class F , class T , class Tol >
std::pair< T, T >	toms748_solve (F f, const T &ax, const T &bx, Tol tol, boost::uintmax_t &max_iter)
template<class F , class T , class Tol , class Policy >
std::pair< T, T >	bracket_and_solve_root (F f, const T &guess, T factor, bool rising, Tol tol, boost::uintmax_t &max_iter, const Policy &pol)
template<class F , class T , class Tol >
std::pair< T, T >	bracket_and_solve_root (F f, const T &guess, const T &factor, bool rising, Tol tol, boost::uintmax_t &max_iter)
template<class T >
T	fmod_workaround (T a, T b)
template<>
int	digits< boost::multiprecision::mpfi_float > ()
template<>
int	digits< boost::multiprecision::mpfr_float > ()

Variables
template<>
concepts::std_real_concept	epsilon (BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept))

Function Documentation

template<class F , class T , class Tol , class Policy >

std::pair<T, T> boost::math::tools::bisect	(	F	f,
		T	min,
		T	max,
		Tol	tol,
		boost::uintmax_t &	max_iter,
		const Policy &	pol
	)

References count, fmax, fmin, boost::xpressive::make_pair, boost::accumulators::extract::max, boost::math::detail::pair_from_single(), boost::math::policies::raise_evaluation_error(), boost::math::sign(), and T.

Referenced by bisect().

template<class F , class T , class Tol >

std::pair<T, T> boost::math::tools::bisect ( F  f, T  min, T  max, Tol  tol, boost::uintmax_t &  max_iter  )

inline

References bisect().

template<class F , class T , class Tol >

std::pair<T, T> boost::math::tools::bisect ( F  f, T  min, T  max, Tol  tol  )

inline

References bisect(), and boost::accumulators::extract::max.

template<class T >

T max boost::math::tools::BOOST_PREVENT_MACRO_SUBSTITUTION ( T  a, T  b, T  c  )

inline

References boost::multiprecision::backends::c, and boost::accumulators::extract::max.

template<class T >

T max boost::math::tools::BOOST_PREVENT_MACRO_SUBSTITUTION ( T  a, T  b, T  c, T  d  )

inline

References boost::accumulators::extract::max.

template<class F , class T , class Tol , class Policy >

std::pair<T, T> boost::math::tools::bracket_and_solve_root	(	F	f,
		const T &	guess,
		T	factor,
		bool	rising,
		Tol	tol,
		boost::uintmax_t &	max_iter,
		const Policy &	pol
	)

References boost::a, boost::asio::b, BOOST_MATH_INSTRUMENT_CODE, BOOST_MATH_LOG_COUNT, BOOST_MATH_STD_USING, count, boost::math::fabs(), boost::xpressive::make_pair, boost::math::detail::pair_from_single(), boost::math::policies::raise_evaluation_error(), boost::math::sign(), T, and toms748_solve().

Referenced by bracket_and_solve_root(), boost::math::chi_squared_distribution< RealType, Policy >::find_degrees_of_freedom(), boost::math::students_t_distribution< RealType, Policy >::find_degrees_of_freedom(), boost::math::detail::find_degrees_of_freedom(), and boost::math::detail::find_non_centrality().

template<class F , class T , class Tol >

std::pair<T, T> boost::math::tools::bracket_and_solve_root ( F  f, const T &  guess, const T &  factor, bool  rising, Tol  tol, boost::uintmax_t &  max_iter  )

inline

References bracket_and_solve_root().

template<class F , class T >

std::pair<T, T> boost::math::tools::brent_find_minima	(	F	f,
		T	min,
		T	max,
		int	bits,
		boost::uintmax_t &	max_iter
	)

References BOOST_MATH_STD_USING, count, boost::polygon::delta(), boost::math::policies::digits(), boost::math::fabs(), boost::math::ef::ldexp(), boost::xpressive::make_pair, boost::accumulators::extract::max, boost::accumulators::extract::min, boost::multiprecision::backends::p, T, and boost::flyweights::x.

Referenced by brent_find_minima().

template<class F , class T >

std::pair<T, T> boost::math::tools::brent_find_minima ( F  f, T  min, T  max, int  digits  )

inline

References brent_find_minima(), and boost::accumulators::extract::max.

template<class T >

T boost::math::tools::cbrt_epsilon ( )

inline

References boost::math::tools::detail::cbrt_epsilon_imp(), digits(), and boost::BOOST_SIGNALS_NAMESPACE::tag_type().

template<class T >

T boost::math::tools::chebyshev_coefficient	(	unsigned	n,
		unsigned	m
	)

References BOOST_ASSERT, BOOST_MATH_STD_USING, boost::math::ef::ldexp(), and T.

template<class Gen , class U >

detail::fraction_traits<Gen>::result_type boost::math::tools::continued_fraction_a ( Gen &  g, const U &  factor, boost::uintmax_t &  max_terms  )

inline

References boost::a, boost::asio::b, BOOST_MATH_STD_USING, boost::polygon::delta(), and boost::math::fabs().

Referenced by continued_fraction_a(), and boost::math::detail::upper_gamma_fraction().

template<class Gen , class U >

detail::fraction_traits<Gen>::result_type boost::math::tools::continued_fraction_a ( Gen &  g, const U &  factor  )

inline

References continued_fraction_a(), and boost::accumulators::extract::max.

template<class Gen >

detail::fraction_traits<Gen>::result_type boost::math::tools::continued_fraction_a ( Gen &  g, int  bits  )

inline

References BOOST_MATH_STD_USING, continued_fraction_a(), boost::math::ef::ldexp(), and boost::accumulators::extract::max.

template<class Gen >

detail::fraction_traits<Gen>::result_type boost::math::tools::continued_fraction_a ( Gen &  g, int  bits, boost::uintmax_t &  max_terms  )

inline

References BOOST_MATH_STD_USING, continued_fraction_a(), and boost::math::ef::ldexp().

template<class Gen , class U >

detail::fraction_traits<Gen>::result_type boost::math::tools::continued_fraction_b ( Gen &  g, const U &  factor, boost::uintmax_t &  max_terms  )

inline

References boost::a, boost::asio::b, BOOST_MATH_STD_USING, boost::polygon::delta(), and boost::math::fabs().

Referenced by continued_fraction_b(), boost::math::detail::expint_as_fraction(), and boost::math::detail::ibeta_fraction2().

template<class Gen , class U >

detail::fraction_traits<Gen>::result_type boost::math::tools::continued_fraction_b ( Gen &  g, const U &  factor  )

inline

References continued_fraction_b(), and boost::accumulators::extract::max.

template<class Gen >

detail::fraction_traits<Gen>::result_type boost::math::tools::continued_fraction_b ( Gen &  g, int  bits  )

inline

References BOOST_MATH_STD_USING, continued_fraction_b(), boost::math::ef::ldexp(), and boost::accumulators::extract::max.

template<class Gen >

detail::fraction_traits<Gen>::result_type boost::math::tools::continued_fraction_b ( Gen &  g, int  bits, boost::uintmax_t &  max_terms  )

inline

References BOOST_MATH_STD_USING, continued_fraction_b(), and boost::math::ef::ldexp().

template<class T >

int boost::math::tools::digits ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)  )

inline

References boost::BOOST_SIGNALS_NAMESPACE::tag_type().

Referenced by brent_find_minima(), boost::multiprecision::backends::cpp_dec_float< Digits10, ExponentType, Allocator >::calculate_inv(), boost::multiprecision::backends::cpp_dec_float< Digits10, ExponentType, Allocator >::calculate_sqrt(), boost::math::detail::cbrt_imp(), boost::chrono::detail::civil_from_days(), boost::math::tools::detail::epsilon(), std::numeric_limits< boost::multiprecision::number< boost::multiprecision::mpfi_float_backend< Digits10 >, ExpressionTemplates > >::epsilon(), std::numeric_limits< boost::multiprecision::number< boost::multiprecision::mpfr_float_backend< Digits10, AllocateType >, ExpressionTemplates > >::epsilon(), std::numeric_limits< boost::multiprecision::number< boost::multiprecision::gmp_float< Digits10 >, ExpressionTemplates > >::epsilon(), epsilon< boost::math::ntl::RR >(), epsilon< mpfr::mpreal >(), epsilon< mpfr_class >(), boost::multiprecision::backends::eval_ldexp(), boost::spirit::karma::real_policies< T >::fraction_part(), boost::random::detail::generate_canonical_impl(), boost::random::detail::generate_int_float_pair(), boost::math::policies::detail::get_epsilon_imp(), boost::hash_detail::hash_value_signed(), boost::hash_detail::hash_value_unsigned(), boost::chrono::detail::internal_gmtime(), boost::random::independent_bits_engine< Engine, w, boost::multiprecision::number< Backend, ExpressionTemplates > >::operator()(), boost::random::independent_bits_engine< Engine, w, UIntType >::operator()(), boost::expressions::c_ascii_pattern_replacer< CharT >::operator()(), boost::multiprecision::backends::tommath_int::operator=(), boost::multiprecision::backends::rational_adaptor< IntBackend >::operator=(), boost::multiprecision::backends::detail::gmp_float_imp< 0 >::operator=(), boost::multiprecision::backends::detail::mpfi_float_imp< 0 >::operator=(), boost::multiprecision::backends::detail::mpfr_float_imp< digits10, allocate_dynamic >::operator=(), boost::multiprecision::backends::detail::mpfr_float_imp< digits10, allocate_stack >::operator=(), boost::multiprecision::backends::cpp_dec_float< Digits10, ExponentType, Allocator >::operator=(), boost::multiprecision::backends::gmp_int::operator=(), boost::multiprecision::backends::operator=(), boost::date_time::parse_undelimited_time_duration(), boost::math::constants::print_info_on_type(), boost::archive::basic_text_oprimitive< std::wostream >::save_impl(), boost::test_tools::print_log_value< T >::set_precision(), boost::multiprecision::backends::float128_backend::str(), boost::multiprecision::backends::detail::mpfr_float_imp< digits10, allocate_dynamic >::str(), boost::multiprecision::backends::detail::gmp_float_imp< 0 >::str(), boost::multiprecision::backends::detail::mpfr_float_imp< digits10, allocate_stack >::str(), boost::multiprecision::number< Backend, ExpressionTemplates >::str(), and boost::date_time::str_from_delimited_time_duration().

template<class T >

int boost::math::tools::digits ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(T)  )

inline

References BOOST_ASSERT, boost::BOOST_STATIC_ASSERT(), and boost::spirit::lex::lexertl::detail::L().

Referenced by cbrt_epsilon(), forth_root_epsilon(), and root_epsilon().

template<>

int boost::math::tools::digits< ::boost::math::ef::e_float > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(::boost::math::ef::e_float)  )

inline

References boost::spirit::lex::lexertl::detail::L().

template<>

int boost::math::tools::digits< boost::math::ntl::RR > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(boost::math::ntl::RR)  )

inline

template<>

int boost::math::tools::digits< boost::multiprecision::mpfi_float > ( )

inline

References boost::multiprecision::backends::detail::get_default_precision().

template<>

int boost::math::tools::digits< boost::multiprecision::mpfr_float > ( )

inline

References boost::multiprecision::backends::detail::get_default_precision().

template<>

int boost::math::tools::digits< concepts::real_concept > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::real_concept)  )

inline

template<>

int boost::math::tools::digits< concepts::std_real_concept > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept)  )

inline

template<>

int boost::math::tools::digits< mpfr::mpreal > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr::mpreal)  )

inline

template<>

int boost::math::tools::digits< mpfr_class > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr_class)  )

inline

template<class T >

T boost::math::tools::epsilon

(

BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)

)

template<class T >

T boost::math::tools::epsilon ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(T)  )

inline

Referenced by boost::math::tools::detail::epsilon().

template<>

boost::math::ntl::RR boost::math::tools::epsilon< boost::math::ntl::RR > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(boost::math::ntl::RR)  )

inline

References boost::math::policies::digits(), and boost::math::ntl::ldexp().

template<>

concepts::real_concept boost::math::tools::epsilon< concepts::real_concept > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::real_concept)  )

inline

References epsilon.

template<>

mpfr::mpreal boost::math::tools::epsilon< mpfr::mpreal > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr::mpreal)  )

inline

References boost::math::policies::digits(), and mpfr::ldexp().

template<>

mpfr_class boost::math::tools::epsilon< mpfr_class > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr_class)  )

inline

References boost::math::policies::digits(), and ldexp().

template<class Seq , class T >

T boost::math::tools::evaluate_chebyshev	(	const Seq &	a,
		const T &	x
	)

References boost::multiprecision::backends::i, and T.

template<class T , class U >

U boost::math::tools::evaluate_even_polynomial ( const T *  poly, U  z, std::size_t  count  )

inline

References evaluate_polynomial().

template<std::size_t N, class T , class V >

V boost::math::tools::evaluate_even_polynomial ( const T(&)  a[N], const V &  z  )

inline

References boost::a, and evaluate_polynomial().

template<std::size_t N, class T , class V >

V boost::math::tools::evaluate_even_polynomial ( const boost::array< T, N > &  a, const V &  z  )

inline

References evaluate_polynomial().

template<class T , class U >

U boost::math::tools::evaluate_odd_polynomial ( const T *  poly, U  z, std::size_t  count  )

inline

References evaluate_polynomial().

template<std::size_t N, class T , class V >

V boost::math::tools::evaluate_odd_polynomial ( const T(&)  a[N], const V &  z  )

inline

References boost::a, boost::math::tools::detail::evaluate_polynomial_c_imp(), boost::spirit::x3::int_, and boost::BOOST_SIGNALS_NAMESPACE::tag_type().

template<std::size_t N, class T , class V >

V boost::math::tools::evaluate_odd_polynomial ( const boost::array< T, N > &  a, const V &  z  )

inline

References boost::detail::const, boost::array< T, N >::data(), boost::math::tools::detail::evaluate_polynomial_c_imp(), boost::spirit::x3::int_, N, and boost::BOOST_SIGNALS_NAMESPACE::tag_type().

template<class T , class U >

U boost::math::tools::evaluate_polynomial ( const T *  poly, U const &  z, std::size_t  count  )

inline

References BOOST_ASSERT, boost::multiprecision::backends::i, and boost::accumulators::extract::sum.

Referenced by boost::math::detail::bessel_i0(), boost::math::detail::bessel_i1(), boost::math::detail::cbrt_imp(), boost::math::detail::digamma_imp_1_2(), boost::math::detail::digamma_imp_large(), boost::math::detail::erf_imp(), boost::math::detail::erf_inv_imp(), boost::math::tools::polynomial< T >::evaluate(), evaluate_even_polynomial(), evaluate_odd_polynomial(), boost::math::tools::detail::evaluate_polynomial_c_imp(), boost::math::detail::expint_1_rational(), boost::math::detail::expint_i_113b(), boost::math::detail::expint_i_113c(), boost::math::detail::expint_i_113d(), boost::math::detail::expint_i_113e(), boost::math::detail::expint_i_113f(), boost::math::detail::expint_i_113g(), boost::math::detail::expint_i_113h(), boost::math::detail::expint_i_imp(), boost::math::detail::expint_i_imp_113a(), boost::math::detail::expm1_imp(), boost::math::detail::log1p_imp(), and boost::math::detail::zeta_imp_prec().

template<std::size_t N, class T , class V >

V boost::math::tools::evaluate_polynomial ( const T(&)  a[N], const V &  val  )

inline

References boost::a, boost::math::tools::detail::evaluate_polynomial_c_imp(), and boost::BOOST_SIGNALS_NAMESPACE::tag_type().

template<std::size_t N, class T , class V >

V boost::math::tools::evaluate_polynomial ( const boost::array< T, N > &  a, const V &  val  )

inline

References boost::array< T, N >::data(), boost::math::tools::detail::evaluate_polynomial_c_imp(), and boost::BOOST_SIGNALS_NAMESPACE::tag_type().

template<class T , class U , class V >

V boost::math::tools::evaluate_rational	(	const T *	num,
		const U *	denom,
		const V &	z_,
		std::size_t	count
	)

References count, boost::multiprecision::backends::i, boost::xpressive::s1, and boost::xpressive::s2.

Referenced by boost::math::tools::detail::evaluate_rational_c_imp(), boost::math::lanczos::lanczos6::lanczos_sum(), boost::math::lanczos::lanczos11::lanczos_sum(), boost::math::lanczos::lanczos13::lanczos_sum(), boost::math::lanczos::lanczos22::lanczos_sum(), boost::math::lanczos::lanczos6m24::lanczos_sum(), boost::math::lanczos::lanczos13m53::lanczos_sum(), boost::math::lanczos::lanczos17m64::lanczos_sum(), boost::math::lanczos::lanczos24m113::lanczos_sum(), boost::math::lanczos::lanczos6::lanczos_sum_expG_scaled(), boost::math::lanczos::lanczos11::lanczos_sum_expG_scaled(), boost::math::lanczos::lanczos13::lanczos_sum_expG_scaled(), boost::math::lanczos::lanczos22::lanczos_sum_expG_scaled(), boost::math::lanczos::lanczos6m24::lanczos_sum_expG_scaled(), boost::math::lanczos::lanczos13m53::lanczos_sum_expG_scaled(), boost::math::lanczos::lanczos17m64::lanczos_sum_expG_scaled(), and boost::math::lanczos::lanczos24m113::lanczos_sum_expG_scaled().

template<std::size_t N, class T , class U , class V >

V boost::math::tools::evaluate_rational ( const T(&)  a[N], const U(&)  b[N], const V &  z  )

inline

References boost::a, boost::asio::b, and boost::math::tools::detail::evaluate_rational_c_imp().

template<std::size_t N, class T , class U , class V >

V boost::math::tools::evaluate_rational ( const boost::array< T, N > &  a, const boost::array< U, N > &  b, const V &  z  )

inline

References boost::array< T, N >::data(), and boost::math::tools::detail::evaluate_rational_c_imp().

template<class T >

T boost::math::tools::fmod_workaround ( T  a, T  b  )

inline

References BOOST_MATH_STD_USING, and boost::math::ef::fmod().

Referenced by boost::math::detail::ellint_e_imp(), boost::math::detail::ellint_f_imp(), boost::math::detail::ellint_pi_imp(), boost::math::detail::spherical_harmonic(), boost::math::detail::spherical_harmonic_i(), and boost::math::detail::spherical_harmonic_r().

template<class T >

T boost::math::tools::forth_root_epsilon ( )

inline

References digits(), boost::math::tools::detail::forth_root_epsilon_imp(), and boost::BOOST_SIGNALS_NAMESPACE::tag_type().

template<>

inline ::boost::math::ef::e_float boost::math::tools::forth_root_epsilon< ::boost::math::ef::e_float >

(

)

References boost::math::tools::detail::forth_root_epsilon_imp().

template<class F , class T >

T boost::math::tools::halley_iterate	(	F	f,
		T	guess,
		T	min,
		T	max,
		int	digits,
		boost::uintmax_t &	max_iter
	)

References BOOST_MATH_INSTRUMENT_VARIABLE, BOOST_MATH_STD_USING, count, boost::polygon::delta(), boost::math::fabs(), boost::math::tools::detail::handle_zero_derivative(), boost::math::ef::ldexp(), boost::accumulators::extract::max, boost::accumulators::extract::min, boost::math::sign(), and T.

Referenced by boost::math::ntl::acos(), boost::math::ntl::asin(), boost::math::ntl::atan(), and halley_iterate().

template<class F , class T >

T boost::math::tools::halley_iterate ( F  f, T  guess, T  min, T  max, int  digits  )

inline

References halley_iterate(), and boost::accumulators::extract::max.

template<class Functor >

Functor::result_type boost::math::tools::kahan_sum_series ( Functor &  func, int  bits  )

inline

References BOOST_MATH_STD_USING, boost::multiprecision::backends::carry, boost::math::fabs(), boost::func, boost::math::pow(), boost::flyweights::t, and boost::polygon::y().

template<class Functor >

Functor::result_type boost::math::tools::kahan_sum_series ( Functor &  func, int  bits, boost::uintmax_t &  max_terms  )

inline

References BOOST_MATH_STD_USING, boost::multiprecision::backends::carry, boost::math::fabs(), boost::func, boost::math::ef::ldexp(), boost::flyweights::t, and boost::polygon::y().

template<class T >

T boost::math::tools::log_max_value ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)  )

inline

References BOOST_ASSERT, BOOST_MATH_STD_USING, boost::BOOST_STATIC_ASSERT(), boost::math::ef::log(), boost::accumulators::extract::max, T, boost::BOOST_SIGNALS_NAMESPACE::tag_type(), and boost::phoenix::val().

template<>

boost::math::ntl::RR boost::math::tools::log_max_value< boost::math::ntl::RR > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(boost::math::ntl::RR)  )

inline

References boost::math::ntl::log(), and boost::phoenix::val().

template<>

concepts::real_concept boost::math::tools::log_max_value< concepts::real_concept > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::real_concept)  )

inline

template<>

concepts::std_real_concept boost::math::tools::log_max_value< concepts::std_real_concept > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept)  )

inline

template<>

mpfr::mpreal boost::math::tools::log_max_value< mpfr::mpreal > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr::mpreal)  )

inline

References boost::math::ef::log(), and boost::phoenix::val().

template<>

mpfr_class boost::math::tools::log_max_value< mpfr_class > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr_class)  )

inline

References boost::math::ef::log(), max_value< mpfr_class >(), and boost::phoenix::val().

template<class T >

T boost::math::tools::log_min_value ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)  )

inline

References BOOST_ASSERT, BOOST_MATH_STD_USING, boost::BOOST_STATIC_ASSERT(), boost::math::ef::log(), boost::accumulators::extract::min, T, boost::BOOST_SIGNALS_NAMESPACE::tag_type(), and boost::phoenix::val().

template<>

boost::math::ntl::RR boost::math::tools::log_min_value< boost::math::ntl::RR > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(boost::math::ntl::RR)  )

inline

References boost::math::ntl::log(), and boost::phoenix::val().

template<>

concepts::real_concept boost::math::tools::log_min_value< concepts::real_concept > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::real_concept)  )

inline

template<>

concepts::std_real_concept boost::math::tools::log_min_value< concepts::std_real_concept > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept)  )

inline

template<>

mpfr::mpreal boost::math::tools::log_min_value< mpfr::mpreal > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr::mpreal)  )

inline

References boost::math::ef::log(), and boost::phoenix::val().

template<>

mpfr_class boost::math::tools::log_min_value< mpfr_class > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr_class)  )

inline

References boost::math::ef::log(), max_value< mpfr_class >(), and boost::phoenix::val().

template<class T >

BOOST_CONSTEXPR_OR_CONST T boost::math::tools::make_big_value ( boost::floatmax_t  v, const char *  , mpl::true_ const &  , mpl::false_ const &    )

inline

References T.

template<class T >

BOOST_CONSTEXPR_OR_CONST T boost::math::tools::make_big_value ( boost::floatmax_t  v, const char *  , mpl::true_ const &  , mpl::true_ const &    )

inline

References T.

template<class T >

T boost::math::tools::make_big_value ( boost::floatmax_t  , const char *  s, mpl::false_ const &  , mpl::false_ const &    )

inline

References boost::lexical_cast(), boost::asio::s, and T.

template<class T >

BOOST_CONSTEXPR const char* boost::math::tools::make_big_value ( boost::floatmax_t  , const char *  s, mpl::false_ const &  , mpl::true_ const &    )

inline

References boost::asio::s.

template<>

concepts::real_concept boost::math::tools::make_big_value< concepts::real_concept > ( boost::floatmax_t  val, const char *  , mpl::false_ const &  , mpl::false_ const &    )

inline

References boost::phoenix::val().

template<>

concepts::std_real_concept boost::math::tools::make_big_value< concepts::std_real_concept > ( boost::floatmax_t  val, const char *  , mpl::false_ const &  , mpl::false_ const &    )

inline

References boost::phoenix::val().

template<class T >

T boost::math::tools::max_value ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)  )

inline

References BOOST_ASSERT, boost::BOOST_STATIC_ASSERT(), and boost::accumulators::extract::max.

Referenced by boost::math::mean(), boost::math::quantile(), boost::math::range(), and boost::math::support().

template<>

boost::math::ntl::RR boost::math::tools::max_value< boost::math::ntl::RR > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(boost::math::ntl::RR)  )

inline

References boost::phoenix::val().

template<>

concepts::real_concept boost::math::tools::max_value< concepts::real_concept > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::real_concept)  )

inline

template<>

concepts::std_real_concept boost::math::tools::max_value< concepts::std_real_concept > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept)  )

inline

template<>

mpfr::mpreal boost::math::tools::max_value< mpfr::mpreal > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr::mpreal)  )

inline

References mpfr::ldexp(), and boost::phoenix::val().

template<>

mpfr_class boost::math::tools::max_value< mpfr_class > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr_class)  )

inline

References boost::phoenix::val().

Referenced by log_max_value< mpfr_class >(), and log_min_value< mpfr_class >().

template<class T >

T boost::math::tools::min_value ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)  )

inline

References BOOST_ASSERT, boost::BOOST_STATIC_ASSERT(), and boost::accumulators::extract::min.

Referenced by boost::container::basic_string< CharT, Traits, Allocator >::append(), boost::geometry::detail::correct::correct_box_loop< Box, Dimension, DimensionCount >::apply(), boost::container::basic_string< CharT, Traits, Allocator >::assign(), boost::container::basic_string< CharT, Traits, Allocator >::basic_string(), boost::CV::simple_exception_policy< rep_type, min_value, max_value, exception_type >::BOOST_PREVENT_MACRO_SUBSTITUTION(), boost::gil::channel_invert(), boost::container::basic_string< CharT, Traits, Allocator >::compare(), boost::gil::ChannelConcept< T >::constraints(), boost::container::basic_string< CharT, Traits, Allocator >::copy(), boost::container::basic_string< CharT, Traits, Allocator >::erase(), boost::container::basic_string< CharT, Traits, Allocator >::find_last_not_of(), boost::container::basic_string< CharT, Traits, Allocator >::find_last_of(), boost::random::detail::generate_uniform_int(), boost::random::detail::generate_uniform_real(), boost::container::basic_string< CharT, Traits, Allocator >::insert(), boost::gil::detail::channel_traits_impl< T, true >::min_value(), boost::gil::default_color_converter_impl< gray_t, cmyk_t >::operator()(), boost::container::basic_string< CharT, Traits, Allocator >::replace(), boost::container::basic_string< CharT, Traits, Allocator >::rfind(), boost::container::basic_string< CharT, Traits, Allocator >::substr(), and boost::math::support().

template<>

boost::math::ntl::RR boost::math::tools::min_value< boost::math::ntl::RR > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(boost::math::ntl::RR)  )

inline

References boost::phoenix::val().

template<>

concepts::real_concept boost::math::tools::min_value< concepts::real_concept > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::real_concept)  )

inline

template<>

concepts::std_real_concept boost::math::tools::min_value< concepts::std_real_concept > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept)  )

inline

template<>

mpfr::mpreal boost::math::tools::min_value< mpfr::mpreal > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr::mpreal)  )

inline

References mpfr::ldexp(), and boost::phoenix::val().

template<>

mpfr_class boost::math::tools::min_value< mpfr_class > ( BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(mpfr_class)  )

inline

References boost::phoenix::val().

template<class F , class T >

T boost::math::tools::newton_raphson_iterate	(	F	f,
		T	guess,
		T	min,
		T	max,
		int	digits,
		boost::uintmax_t &	max_iter
	)

References BOOST_MATH_STD_USING, count, boost::polygon::delta(), boost::math::fabs(), boost::math::tools::detail::handle_zero_derivative(), boost::math::ef::ldexp(), boost::accumulators::extract::max, boost::accumulators::extract::min, and T.

Referenced by boost::math::detail::airy_ai_zero_imp(), boost::math::detail::airy_bi_zero_imp(), boost::math::detail::cyl_bessel_j_zero_imp(), boost::math::detail::cyl_neumann_zero_imp(), boost::math::mode(), newton_raphson_iterate(), and boost::math::quantile().

template<class F , class T >

T boost::math::tools::newton_raphson_iterate ( F  f, T  guess, T  min, T  max, int  digits  )

inline

References boost::accumulators::extract::max, and newton_raphson_iterate().

template<class T >

polynomial<T> boost::math::tools::operator* ( const polynomial< T > &  a, const polynomial< T > &  b  )

inline

References boost::asio::b.

template<class T , class U >

polynomial<T> boost::math::tools::operator* ( const polynomial< T > &  a, const U &  b  )

inline

References boost::asio::b.

template<class U , class T >

polynomial<T> boost::math::tools::operator* ( const U &  a, const polynomial< T > &  b  )

inline

References boost::a.

template<class T >

polynomial<T> boost::math::tools::operator+ ( const polynomial< T > &  a, const polynomial< T > &  b  )

inline

References boost::asio::b.

template<class T , class U >

polynomial<T> boost::math::tools::operator+ ( const polynomial< T > &  a, const U &  b  )

inline

References boost::asio::b.

template<class U , class T >

polynomial<T> boost::math::tools::operator+ ( const U &  a, const polynomial< T > &  b  )

inline

References boost::a.

template<class T >

polynomial<T> boost::math::tools::operator- ( const polynomial< T > &  a, const polynomial< T > &  b  )

inline

References boost::asio::b.

template<class T , class U >

polynomial<T> boost::math::tools::operator- ( const polynomial< T > &  a, const U &  b  )

inline

References boost::asio::b.

template<class U , class T >

polynomial<T> boost::math::tools::operator- ( const U &  a, const polynomial< T > &  b  )

inline

References boost::asio::b.

template<class charT , class traits , class T >

std::basic_ostream<charT, traits>& boost::math::tools::operator<< ( std::basic_ostream< charT, traits > &  os, const polynomial< T > &  poly  )

inline

References boost::multiprecision::backends::i.

template<class Seq >

Seq boost::math::tools::polynomial_to_chebyshev

(

const Seq &

s

)

References boost::multiprecision::backends::i, and boost::phoenix::val().

Referenced by boost::math::tools::polynomial< T >::chebyshev().

template<class To , class T >

To boost::math::tools::real_cast ( T  t )

inline

References boost::flyweights::t.

Referenced by boost::math::tools::detail::convert_to_long_result(), iround(), mpfr::iround(), boost::math::ntl::iround(), mpfr::itrunc(), itrunc(), boost::math::ntl::itrunc(), llround(), mpfr::llround(), boost::math::ntl::llround(), mpfr::lltrunc(), lltrunc(), boost::math::ntl::lltrunc(), lround(), mpfr::lround(), boost::math::ntl::lround(), mpfr::ltrunc(), ltrunc(), boost::math::ntl::ltrunc(), modf(), and mpfr::modf().

template<>

boost::math::ntl::RR boost::math::tools::real_cast< boost::math::ntl::RR, boost::math::ntl::RR > ( boost::math::ntl::RR  t )

inline

References boost::flyweights::t.

template<>

double boost::math::tools::real_cast< double, boost::math::ntl::RR > ( boost::math::ntl::RR  t )

inline

template<>

double boost::math::tools::real_cast< double, mpfr_class > ( mpfr_class  t )

inline

References boost::flyweights::t.

template<>

float boost::math::tools::real_cast< float, boost::math::ntl::RR > ( boost::math::ntl::RR  t )

inline

template<>

float boost::math::tools::real_cast< float, mpfr_class > ( mpfr_class  t )

inline

References boost::flyweights::t.

template<>

int boost::math::tools::real_cast< int, boost::math::ntl::RR > ( boost::math::ntl::RR  t )

inline

References boost::math::tools::detail::convert_to_long_result().

template<>

int boost::math::tools::real_cast< int, mpfr_class > ( mpfr_class  t )

inline

References boost::flyweights::t.

template<>

long double boost::math::tools::real_cast< long double, boost::math::ntl::RR > ( boost::math::ntl::RR  t )

inline

References boost::math::tools::detail::convert_to_long_result().

template<>

long long boost::math::tools::real_cast< long long, boost::math::ntl::RR > ( boost::math::ntl::RR  t )

inline

References boost::math::tools::detail::convert_to_long_result().

template<>

long long boost::math::tools::real_cast< long long, mpfr::mpreal > ( mpfr::mpreal  t )

inline

References boost::math::tools::detail::convert_to_long_result(), and boost::flyweights::t.

template<>

long long boost::math::tools::real_cast< long long, mpfr_class > ( mpfr_class  t )

inline

References boost::math::tools::detail::convert_to_long_result(), and boost::flyweights::t.

template<>

long boost::math::tools::real_cast< long, boost::math::ntl::RR > ( boost::math::ntl::RR  t )

inline

References boost::math::tools::detail::convert_to_long_result().

template<>

long boost::math::tools::real_cast< long, mpfr_class > ( mpfr_class  t )

inline

References boost::math::tools::detail::convert_to_long_result(), and boost::flyweights::t.

template<>

mpfr::mpreal boost::math::tools::real_cast< mpfr::mpreal, long long > ( long long  t )

inline

References mpfr::ldexp(), boost::math::sign(), and boost::flyweights::t.

template<>

mpfr_class boost::math::tools::real_cast< mpfr_class, long long > ( long long  t )

inline

References ldexp(), boost::math::sign(), and boost::flyweights::t.

template<>

unsigned boost::math::tools::real_cast< unsigned, boost::math::ntl::RR > ( boost::math::ntl::RR  t )

inline

References boost::math::tools::detail::convert_to_long_result().

template<>

unsigned boost::math::tools::real_cast< unsigned, mpfr_class > ( mpfr_class  t )

inline

References boost::flyweights::t.

template<class T >

T boost::math::tools::root_epsilon ( )

inline

References digits(), boost::math::tools::detail::root_epsilon_imp(), and boost::BOOST_SIGNALS_NAMESPACE::tag_type().

template<>

inline ::boost::math::ef::e_float boost::math::tools::root_epsilon< ::boost::math::ef::e_float >

(

)

References boost::math::tools::detail::root_epsilon_imp().

template<class F , class T >

T boost::math::tools::schroeder_iterate	(	F	f,
		T	guess,
		T	min,
		T	max,
		int	digits,
		boost::uintmax_t &	max_iter
	)

References BOOST_MATH_STD_USING, count, boost::polygon::delta(), boost::math::fabs(), boost::math::tools::detail::handle_zero_derivative(), boost::math::ef::ldexp(), boost::accumulators::extract::max, boost::accumulators::extract::min, and T.

Referenced by schroeder_iterate().

template<class F , class T >

T boost::math::tools::schroeder_iterate ( F  f, T  guess, T  min, T  max, int  digits  )

inline

References boost::accumulators::extract::max, and schroeder_iterate().

template<class Functor , class U , class V >

Functor::result_type boost::math::tools::sum_series ( Functor &  func, const U &  factor, boost::uintmax_t &  max_terms, const V &  init_value  )

inline

References BOOST_MATH_STD_USING, boost::math::fabs(), and boost::func.

Referenced by boost::math::detail::erf_imp(), boost::math::detail::expint_as_series(), boost::math::detail::expint_i_as_series(), boost::math::detail::expm1_imp(), boost::math::detail::hypergeometric_2F2(), boost::math::detail::ibeta_series(), boost::math::detail::log1p_imp(), boost::math::log1pmx(), boost::math::detail::lower_gamma_series(), boost::math::detail::sph_bessel_j_small_z_series(), sum_series(), and boost::math::detail::tgamma_small_upper_part().

template<class Functor , class U >

Functor::result_type boost::math::tools::sum_series ( Functor &  func, const U &  factor, boost::uintmax_t &  max_terms  )

inline

References sum_series().

template<class Functor , class U >

Functor::result_type boost::math::tools::sum_series ( Functor &  func, int  bits, boost::uintmax_t &  max_terms, const U &  init_value  )

inline

References BOOST_MATH_STD_USING, boost::math::ef::ldexp(), and sum_series().

template<class Functor >

Functor::result_type boost::math::tools::sum_series ( Functor &  func, int  bits  )

inline

References BOOST_MATH_STD_USING, boost::accumulators::extract::max, and sum_series().

template<class Functor >

Functor::result_type boost::math::tools::sum_series ( Functor &  func, int  bits, boost::uintmax_t &  max_terms  )

inline

References BOOST_MATH_STD_USING, and sum_series().

template<class Functor , class U >

Functor::result_type boost::math::tools::sum_series ( Functor &  func, int  bits, const U &  init_value  )

inline

References BOOST_MATH_STD_USING, boost::accumulators::extract::max, and sum_series().

template<class F , class T , class Tol , class Policy >

std::pair<T, T> boost::math::tools::toms748_solve	(	F	f,
		const T &	ax,
		const T &	bx,
		const T &	fax,
		const T &	fbx,
		Tol	tol,
		boost::uintmax_t &	max_iter,
		const Policy &	pol
	)

References boost::a, boost::asio::b, BOOST_MATH_INSTRUMENT_CODE, BOOST_MATH_LOG_COUNT, BOOST_MATH_STD_USING, boost::math::tools::detail::bracket(), boost::multiprecision::backends::c, count, boost::math::tools::detail::cubic_interpolate(), boost::math::fabs(), boost::xpressive::make_pair, boost::math::detail::pair_from_single(), boost::math::tools::detail::quadratic_interpolate(), boost::math::policies::raise_domain_error(), boost::math::tools::detail::secant_interpolate(), boost::math::sign(), and T.

Referenced by bracket_and_solve_root(), boost::math::detail::bracket_and_solve_root_01(), and toms748_solve().

template<class F , class T , class Tol >

std::pair<T, T> boost::math::tools::toms748_solve ( F  f, const T &  ax, const T &  bx, const T &  fax, const T &  fbx, Tol  tol, boost::uintmax_t &  max_iter  )

inline

References toms748_solve().

template<class F , class T , class Tol , class Policy >

std::pair<T, T> boost::math::tools::toms748_solve ( F  f, const T &  ax, const T &  bx, Tol  tol, boost::uintmax_t &  max_iter, const Policy &  pol  )

inline

References toms748_solve().

template<class F , class T , class Tol >

std::pair<T, T> boost::math::tools::toms748_solve ( F  f, const T &  ax, const T &  bx, Tol  tol, boost::uintmax_t &  max_iter  )

inline

References toms748_solve().

Variable Documentation

template<>

concepts::std_real_concept boost::math::tools::epsilon(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept))

inline

Referenced by boost::math::acos(), boost::geometry::math::detail::equals< Type, true >::apply(), boost::geometry::math::detail::relaxed_epsilon< T >::apply(), boost::math::asin(), boost::numeric::ublas::axpy_prod(), boost::numeric::ublas::block_prod(), boost::multiprecision::backends::cpp_dec_float< Digits10, ExponentType, Allocator >::cpp_dec_float(), std::numeric_limits< boost::numeric::interval< T, Policies > >::epsilon(), std::numeric_limits< ::boost::units::quantity< Unit, T > >::epsilon(), boost::detail::float_wrapper< FloatTraits, ComparatorProps >::epsilon(), std::numeric_limits< boost::multiprecision::number< boost::multiprecision::concepts::number_backend_float_architype, ExpressionTemplates > >::epsilon(), std::numeric_limits< boost::multiprecision::number< boost::multiprecision::rational_adaptor< IntBackend >, ExpressionTemplates > >::epsilon(), std::numeric_limits< boost::multiprecision::number< boost::multiprecision::backends::debug_adaptor< Backend >, ExpressionTemplates > >::epsilon(), std::numeric_limits< ::boost::math::ef::e_float >::epsilon(), std::numeric_limits< boost::multiprecision::number< boost::multiprecision::backends::logged_adaptor< Backend >, ExpressionTemplates > >::epsilon(), epsilon< concepts::real_concept >(), boost::random::generate_canonical(), boost::intersects(), boost::numeric::ublas::opb_prod(), std::numeric_limits< boost::multiprecision::number< boost::multiprecision::rational_adaptor< IntBackend >, ExpressionTemplates > >::round_error(), std::numeric_limits< boost::multiprecision::number< boost::multiprecision::backends::debug_adaptor< Backend >, ExpressionTemplates > >::round_error(), and std::numeric_limits< boost::multiprecision::number< boost::multiprecision::backends::logged_adaptor< Backend >, ExpressionTemplates > >::round_error().