boost::math::detail Namespace Reference

Classes
struct	bessel_traits
struct	big_int_type
struct	degrees_of_freedom_finder
struct	df_estimator
struct	digamma_initializer
struct	ellint_3_result
struct	erf_asympt_series_t
struct	erf_initializer
struct	expint_1_initializer
struct	expint_fraction
struct	expint_i_initializer
struct	expint_i_series
struct	expint_result
struct	expint_series
struct	expm1_initializer
struct	expm1_series
struct	gcd_optimal_evaluator
struct	gcd_optimal_evaluator< char >
struct	gcd_optimal_evaluator< int >
struct	gcd_optimal_evaluator< long >
struct	gcd_optimal_evaluator< short >
struct	gcd_optimal_evaluator< signed char >
struct	gcd_optimal_evaluator< unsigned >
struct	gcd_optimal_evaluator< unsigned char >
struct	gcd_optimal_evaluator< unsigned long >
struct	gcd_optimal_evaluator< unsigned short >
struct	gcd_optimal_evaluator_helper_t
struct	gcd_optimal_evaluator_helper_t< T, true, true >
struct	hypergeometric_2F2_sum
struct	ibeta_fraction2_t
struct	ibeta_series_t
struct	igamma_initializer
struct	is_integer_for_rounding
struct	largest_cbrt_int_type
struct	lcm_optimal_evaluator
struct	lcm_optimal_evaluator_helper_t
struct	lcm_optimal_evaluator_helper_t< T, true, true >
struct	lgamma_initializer
struct	log1p_initializer
struct	log1p_series
struct	lower_incomplete_gamma_series
struct	min_shift_initializer
struct	nc_beta_quantile_functor
struct	nccs_quantile_functor
struct	non_centrality_finder
struct	owens_t_initializer
struct	Pn_size
struct	Pn_size< double >
struct	Pn_size< float >
struct	Pn_size< long double >
struct	positive_power
struct	positive_power< 1, 1 >
struct	positive_power< N, 1 >
struct	power_if_positive
struct	power_if_positive< 0, true >
struct	power_if_positive< N, false >
struct	sample_size_func
struct	select_power_if_positive
struct	skew_normal_mode_functor
struct	skew_normal_quantile_functor
struct	small_gamma2_series
struct	sph_bessel_j_small_z_series_term
struct	static_gcd_helper_t
struct	static_gcd_helper_t< Value1, 0UL >
struct	static_lcm_helper_t
struct	static_lcm_helper_t< 0UL, 0UL >
struct	upper_incomplete_gamma_fract
struct	zeta_initializer

Typedefs
typedef mpl::int_< 0 >	bessel_no_int_tag
typedef mpl::int_< 1 >	bessel_maybe_int_tag
typedef mpl::int_< 2 >	bessel_int_tag

Functions
template<>
int fpclassify_imp < boost::math::ef::e_float >	BOOST_NO_MACRO_EXPAND (boost::math::ef::e_float x, const generic_tag< true > &)
template<class Policy >
boost::math::ef::e_float	digamma_imp (boost::math::ef::e_float x, const mpl::int_< 0 > *, const Policy &pol)
boost::math::ef::e_float	bessel_i0 (boost::math::ef::e_float x)
boost::math::ef::e_float	bessel_i1 (boost::math::ef::e_float x)
template<class Policy >
mpfr_class	digamma_imp (mpfr_class x, const mpl::int_< 0 > *, const Policy &pol)
template<class Policy >
mpfr_class	erf_inv_imp (const mpfr_class &p, const mpfr_class &q, const Policy &, const boost::mpl::int_< 64 > *)
mpfr_class	bessel_i0 (mpfr_class x)
mpfr_class	bessel_i1 (mpfr_class x)
template<class Policy >
mpfr::mpreal	digamma_imp (mpfr::mpreal x, const mpl::int_< 0 > *, const Policy &pol)
template<class Policy >
mpfr::mpreal	erf_inv_imp (const mpfr::mpreal &p, const mpfr::mpreal &q, const Policy &, const boost::mpl::int_< 64 > *)
mpfr::mpreal	bessel_i0 (mpfr::mpreal x)
mpfr::mpreal	bessel_i1 (mpfr::mpreal x)
template<class Policy >
ntl::RR	digamma_imp (ntl::RR x, const mpl::int_< 0 > *, const Policy &pol)
template<typename RingType >
RingType	gcd_euclidean (RingType a, RingType b)
template<typename IntegerType >
IntegerType	gcd_integer (IntegerType const &a, IntegerType const &b)
template<typename BuiltInUnsigned >
BuiltInUnsigned	gcd_binary (BuiltInUnsigned u, BuiltInUnsigned v)
template<typename RingType >
RingType	lcm_euclidean (RingType const &a, RingType const &b)
template<typename IntegerType >
IntegerType	lcm_integer (IntegerType const &a, IntegerType const &b)
template<typename T >
T	gcd_optimal (T const &a, T const &b)
template<typename T >
T	lcm_optimal (T const &a, T const &b)
template<class T >
T	mult_minus_one (const T &t)
template<class T >
std::complex< T >	mult_i (const std::complex< T > &t)
template<class T >
std::complex< T >	mult_minus_i (const std::complex< T > &t)
template<class T >
T	safe_max (T t)
long double	safe_max (long double t)
template<class T >
T	safe_min (T t)
long double	safe_min (long double t)
template<class RealType , class Policy >
RealType	cdf_imp (const cauchy_distribution< RealType, Policy > &dist, const RealType &x, bool complement)
template<class RealType , class Policy >
RealType	quantile_imp (const cauchy_distribution< RealType, Policy > &dist, const RealType &p, bool complement)
template<class RealType , class Policy >
bool	verify_lambda (const char *function, RealType l, RealType *presult, const Policy &pol)
template<class RealType , class Policy >
bool	verify_exp_x (const char *function, RealType x, RealType *presult, const Policy &pol)
template<class RealType , class Policy >
bool	verify_scale_b (const char *function, RealType b, RealType *presult, const Policy &pol)
template<class RealType , class Policy >
bool	check_gamma_shape (const char *function, RealType shape, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	check_gamma_x (const char *function, RealType const &x, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	check_gamma (const char *function, RealType scale, RealType shape, RealType *result, const Policy &pol)
template<typename Dist >
Dist::value_type	generic_quantile (const Dist &dist, const typename Dist::value_type &p, const typename Dist::value_type &guess, bool comp, const char *function)
template<class RealType , class Policy >
bool	check_inverse_chi_squared (const char *function, RealType degrees_of_freedom, RealType scale, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	check_inverse_gamma_shape (const char *function, RealType shape, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	check_inverse_gamma_x (const char *function, RealType const &x, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	check_inverse_gamma (const char *function, RealType scale, RealType shape, RealType *result, const Policy &pol)
template<class RealType >
RealType	guess_ig (RealType p, RealType mu=1, RealType lambda=1)
template<class RealType , class Policy >
bool	check_lognormal_x (const char *function, RealType const &x, RealType *result, const Policy &pol)
template<class T , class Policy >
T	non_central_beta_p (T a, T b, T lam, T x, T y, const Policy &pol, T init_val=0)
template<class T , class Policy >
T	non_central_beta_q (T a, T b, T lam, T x, T y, const Policy &pol, T init_val=0)
template<class RealType , class Policy >
RealType	non_central_beta_cdf (RealType x, RealType y, RealType a, RealType b, RealType l, bool invert, const Policy &)
template<class F , class T , class Tol , class Policy >
std::pair< T, T >	bracket_and_solve_root_01 (F f, const T &guess, T factor, bool rising, Tol tol, boost::uintmax_t &max_iter, const Policy &pol)
template<class RealType , class Policy >
RealType	nc_beta_quantile (const non_central_beta_distribution< RealType, Policy > &dist, const RealType &p, bool comp)
template<class T , class Policy >
T	non_central_beta_pdf (T a, T b, T lam, T x, T y, const Policy &pol)
template<class RealType , class Policy >
RealType	nc_beta_pdf (const non_central_beta_distribution< RealType, Policy > &dist, const RealType &x)
template<class T , class Policy >
T	hypergeometric_2F2 (T a1, T a2, T b1, T b2, T z, const Policy &pol)
template<class T , class Policy >
T	non_central_chi_square_q (T x, T f, T theta, const Policy &pol, T init_sum=0)
template<class T , class Policy >
T	non_central_chi_square_p_ding (T x, T f, T theta, const Policy &pol, T init_sum=0)
template<class T , class Policy >
T	non_central_chi_square_p (T y, T n, T lambda, const Policy &pol, T init_sum)
template<class T , class Policy >
T	non_central_chi_square_pdf (T x, T n, T lambda, const Policy &pol)
template<class RealType , class Policy >
RealType	non_central_chi_squared_cdf (RealType x, RealType k, RealType l, bool invert, const Policy &)
template<class RealType , class Policy >
RealType	nccs_quantile (const non_central_chi_squared_distribution< RealType, Policy > &dist, const RealType &p, bool comp)
template<class RealType , class Policy >
RealType	nccs_pdf (const non_central_chi_squared_distribution< RealType, Policy > &dist, const RealType &x)
template<class RealType , class Policy >
RealType	find_degrees_of_freedom (RealType lam, RealType x, RealType p, RealType q, const Policy &pol)
template<class RealType , class Policy >
RealType	find_non_centrality (RealType v, RealType x, RealType p, RealType q, const Policy &pol)
template<class T , class Policy >
T	non_central_t2_p (T v, T delta, T x, T y, const Policy &pol, T init_val)
template<class T , class Policy >
T	non_central_t2_q (T v, T delta, T x, T y, const Policy &pol, T init_val)
template<class T , class Policy >
T	non_central_t_cdf (T v, T delta, T t, bool invert, const Policy &pol)
template<class T , class Policy >
T	non_central_t_quantile (const char *function, T v, T delta, T p, T q, const Policy &)
template<class T , class Policy >
T	non_central_t2_pdf (T n, T delta, T x, T y, const Policy &pol, T init_val)
template<class T , class Policy >
T	non_central_t_pdf (T n, T delta, T t, const Policy &pol)
template<class T , class Policy >
T	mean (T v, T delta, const Policy &pol)
template<class T , class Policy >
T	variance (T v, T delta, const Policy &pol)
template<class T , class Policy >
T	skewness (T v, T delta, const Policy &pol)
template<class T , class Policy >
T	kurtosis_excess (T v, T delta, const Policy &pol)
template<class RealType , class Policy >
bool	check_pareto_scale (const char *function, RealType scale, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	check_pareto_shape (const char *function, RealType shape, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	check_pareto_x (const char *function, RealType const &x, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	check_pareto (const char *function, RealType scale, RealType shape, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	verify_sigma (const char *function, RealType sigma, RealType *presult, const Policy &pol)
template<class RealType , class Policy >
bool	verify_rayleigh_x (const char *function, RealType x, RealType *presult, const Policy &pol)
template<class RealType , class Policy >
bool	check_skew_normal_shape (const char *function, RealType shape, RealType *result, const Policy &pol)
template<class RealType , class Policy >
RealType	mode_fallback (const skew_normal_distribution< RealType, Policy > &dist)
template<class RealType , class Policy >
bool	check_triangular_lower (const char *function, RealType lower, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	check_triangular_mode (const char *function, RealType mode, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	check_triangular_upper (const char *function, RealType upper, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	check_triangular_x (const char *function, RealType const &x, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	check_triangular (const char *function, RealType lower, RealType mode, RealType upper, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	check_uniform_lower (const char *function, RealType lower, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	check_uniform_upper (const char *function, RealType upper, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	check_uniform_x (const char *function, RealType const &x, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	check_uniform (const char *function, RealType lower, RealType upper, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	check_weibull_shape (const char *function, RealType shape, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	check_weibull_x (const char *function, RealType const &x, RealType *result, const Policy &pol)
template<class RealType , class Policy >
bool	check_weibull (const char *function, RealType scale, RealType shape, RealType *result, const Policy &pol)
template<typename T , typename U >
octonion< T >	octonion_type_converter (octonion< U > const &rhs)
template<class T >
std::pair< T, T >	pair_from_single (const T &val)
template<typename T , typename U >
quaternion< T >	quaternion_type_converter (quaternion< U > const &rhs)
template<typename T , typename Policy >
T	acosh_imp (const T x, const Policy &pol)
template<class T , class Policy >
T	airy_ai_imp (T x, const Policy &pol)
template<class T , class Policy >
T	airy_bi_imp (T x, const Policy &pol)
template<class T , class Policy >
T	airy_ai_prime_imp (T x, const Policy &pol)
template<class T , class Policy >
T	airy_bi_prime_imp (T x, const Policy &pol)
template<class T , class Policy >
T	airy_ai_zero_imp (int m, const Policy &pol)
template<class T , class Policy >
T	airy_bi_zero_imp (int m, const Policy &pol)
template<typename T , class Policy >
T	asinh_imp (const T x, const Policy &pol)
template<typename T , typename Policy >
T	atanh_imp (const T x, const Policy &pol)
template<class T , class OutputIterator , class Policy , int N>
OutputIterator	bernoulli_number_imp (OutputIterator out, std::size_t start, std::size_t n, const Policy &pol, const mpl::int_< N > &tag)
template<class T , class OutputIterator , class Policy >
OutputIterator	bernoulli_number_imp (OutputIterator out, std::size_t start, std::size_t n, const Policy &pol, const mpl::int_< 0 > &tag)
template<class T , class Policy >
T	sph_bessel_j_small_z_series (unsigned v, T x, const Policy &pol)
template<class T , class Policy >
T	cyl_bessel_j_imp (T v, T x, const bessel_no_int_tag &t, const Policy &pol)
template<class T , class Policy >
T	cyl_bessel_j_imp (T v, T x, const bessel_maybe_int_tag &, const Policy &pol)
template<class T , class Policy >
T	cyl_bessel_j_imp (int v, T x, const bessel_int_tag &, const Policy &pol)
template<class T , class Policy >
T	sph_bessel_j_imp (unsigned n, T x, const Policy &pol)
template<class T , class Policy >
T	cyl_bessel_i_imp (T v, T x, const Policy &pol)
template<class T , class Policy >
T	cyl_bessel_k_imp (T v, T x, const bessel_no_int_tag &, const Policy &pol)
template<class T , class Policy >
T	cyl_bessel_k_imp (T v, T x, const bessel_maybe_int_tag &, const Policy &pol)
template<class T , class Policy >
T	cyl_bessel_k_imp (int v, T x, const bessel_int_tag &, const Policy &pol)
template<class T , class Policy >
T	cyl_neumann_imp (T v, T x, const bessel_no_int_tag &, const Policy &pol)
template<class T , class Policy >
T	cyl_neumann_imp (T v, T x, const bessel_maybe_int_tag &, const Policy &pol)
template<class T , class Policy >
T	cyl_neumann_imp (int v, T x, const bessel_int_tag &, const Policy &pol)
template<class T , class Policy >
T	sph_neumann_imp (unsigned v, T x, const Policy &pol)
template<class T , class Policy >
T	cyl_bessel_j_zero_imp (T v, int m, const Policy &pol)
template<class T , class Policy >
T	cyl_neumann_zero_imp (T v, int m, const Policy &pol)
template<class Tag , class T , class Policy >
T	cyl_bessel_j_prime_imp (T v, T x, const Policy &pol)
template<class T , class Policy >
T	sph_bessel_j_prime_imp (unsigned v, T x, const Policy &pol)
template<class T , class Policy >
T	cyl_bessel_i_prime_imp (T v, T x, const Policy &pol)
template<class Tag , class T , class Policy >
T	cyl_bessel_k_prime_imp (T v, T x, const Policy &pol)
template<class Tag , class T , class Policy >
T	cyl_neumann_prime_imp (T v, T x, const Policy &pol)
template<class T , class Policy >
T	sph_neumann_prime_imp (unsigned v, T x, const Policy &pol)
template<class T , class Lanczos , class Policy >
T	beta_imp (T a, T b, const Lanczos &, const Policy &pol)
template<class T , class Policy >
T	beta_imp (T a, T b, const lanczos::undefined_lanczos &, const Policy &pol)
template<class T , class Lanczos , class Policy >
T	ibeta_power_terms (T a, T b, T x, T y, const Lanczos &, bool normalised, const Policy &pol)
template<class T , class Policy >
T	ibeta_power_terms (T a, T b, T x, T y, const boost::math::lanczos::undefined_lanczos &, bool normalised, const Policy &pol)
template<class T , class Lanczos , class Policy >
T	ibeta_series (T a, T b, T x, T s0, const Lanczos &, bool normalised, T *p_derivative, T y, const Policy &pol)
template<class T , class Policy >
T	ibeta_series (T a, T b, T x, T s0, const boost::math::lanczos::undefined_lanczos &, bool normalised, T *p_derivative, T y, const Policy &pol)
template<class T , class Policy >
T	ibeta_fraction2 (T a, T b, T x, T y, const Policy &pol, bool normalised, T *p_derivative)
template<class T , class Policy >
T	ibeta_a_step (T a, T b, T x, T y, int k, const Policy &pol, bool normalised, T *p_derivative)
template<class T >
T	rising_factorial_ratio (T a, T b, int k)
template<class T , class Policy >
T	beta_small_b_large_a_series (T a, T b, T x, T y, T s0, T mult, const Policy &pol, bool normalised)
template<class T >
T	binomial_ccdf (T n, T k, T x, T y)
template<class T , class Policy >
T	ibeta_imp (T a, T b, T x, const Policy &pol, bool inv, bool normalised, T *p_derivative)
template<class T , class Policy >
T	ibeta_imp (T a, T b, T x, const Policy &pol, bool inv, bool normalised)
template<class T , class Policy >
T	ibeta_derivative_imp (T a, T b, T x, const Policy &pol)
template<class RT1 , class RT2 , class Policy >
tools::promote_args< RT1, RT2 > ::type	beta (RT1 a, RT2 b, const Policy &, const mpl::true_ *)
template<class RT1 , class RT2 , class RT3 >
tools::promote_args< RT1, RT2, RT3 >::type	beta (RT1 a, RT2 b, RT3 x, const mpl::false_ *)
template<class T , class Policy >
T	cbrt_imp (T z, const Policy &pol)
template<class T , class Policy >
T	cos_pi_imp (T x, const Policy &pol)
unsigned	digamma_large_lim (const mpl::int_< 0 > *)
unsigned	digamma_large_lim (const void *)
template<class T >
T	digamma_imp_large (T x, const mpl::int_< 0 > *)
template<class T >
T	digamma_imp_large (T x, const mpl::int_< 64 > *)
template<class T >
T	digamma_imp_large (T x, const mpl::int_< 53 > *)
template<class T >
T	digamma_imp_large (T x, const mpl::int_< 24 > *)
template<class T >
T	digamma_imp_1_2 (T x, const mpl::int_< 0 > *)
template<class T >
T	digamma_imp_1_2 (T x, const mpl::int_< 64 > *)
template<class T >
T	digamma_imp_1_2 (T x, const mpl::int_< 53 > *)
template<class T >
T	digamma_imp_1_2 (T x, const mpl::int_< 24 > *)
template<class T , class Tag , class Policy >
T	digamma_imp (T x, const Tag *t, const Policy &pol)
template<typename T , typename Policy >
T	ellint_k_imp (T k, const Policy &pol)
template<typename T , typename Policy >
T	ellint_f_imp (T phi, T k, const Policy &pol)
template<typename T , typename Policy >
tools::promote_args< T >::type	ellint_1 (T k, const Policy &pol, const mpl::true_ &)
template<class T1 , class T2 >
tools::promote_args< T1, T2 >::type	ellint_1 (T1 k, T2 phi, const mpl::false_ &)
template<typename T , typename Policy >
T	ellint_e_imp (T k, const Policy &pol)
template<typename T , typename Policy >
T	ellint_e_imp (T phi, T k, const Policy &pol)
template<typename T , typename Policy >
tools::promote_args< T >::type	ellint_2 (T k, const Policy &pol, const mpl::true_ &)
template<class T1 , class T2 >
tools::promote_args< T1, T2 >::type	ellint_2 (T1 k, T2 phi, const mpl::false_ &)
template<typename T , typename Policy >
T	ellint_pi_imp (T v, T k, T vc, const Policy &pol)
template<typename T , typename Policy >
T	ellint_pi_imp (T v, T phi, T k, T vc, const Policy &pol)
template<class T1 , class T2 , class T3 >
tools::promote_args< T1, T2, T3 >::type	ellint_3 (T1 k, T2 v, T3 phi, const mpl::false_ &)
template<class T1 , class T2 , class Policy >
tools::promote_args< T1, T2 >::type	ellint_3 (T1 k, T2 v, const Policy &pol, const mpl::true_ &)
template<typename T , typename Policy >
T	ellint_rc_imp (T x, T y, const Policy &pol)
template<typename T , typename Policy >
T	ellint_rd_imp (T x, T y, T z, const Policy &pol)
template<typename T , typename Policy >
T	ellint_rf_imp (T x, T y, T z, const Policy &pol)
template<typename T , typename Policy >
T	ellint_rj_imp (T x, T y, T z, T p, const Policy &pol)
template<class T >
float	erf_asymptotic_limit_N (const T &)
float	erf_asymptotic_limit_N (const mpl::int_< 24 > &)
float	erf_asymptotic_limit_N (const mpl::int_< 53 > &)
float	erf_asymptotic_limit_N (const mpl::int_< 64 > &)
float	erf_asymptotic_limit_N (const mpl::int_< 106 > &)
float	erf_asymptotic_limit_N (const mpl::int_< 113 > &)
template<class T , class Policy >
T	erf_asymptotic_limit ()
template<class T , class Policy , class Tag >
T	erf_imp (T z, bool invert, const Policy &pol, const Tag &t)
template<class T , class Policy >
T	erf_imp (T z, bool invert, const Policy &pol, const mpl::int_< 53 > &t)
template<class T , class Policy >
T	erf_imp (T z, bool invert, const Policy &pol, const mpl::int_< 64 > &t)
template<class T , class Policy >
T	erf_imp (T z, bool invert, const Policy &pol, const mpl::int_< 113 > &t)
template<class T >
T	expint_1_rational (const T &z, const mpl::int_< 0 > &)
template<class T >
T	expint_1_rational (const T &z, const mpl::int_< 53 > &)
template<class T >
T	expint_1_rational (const T &z, const mpl::int_< 64 > &)
template<class T >
T	expint_1_rational (const T &z, const mpl::int_< 113 > &)
template<class T , class Policy >
T	expint_as_fraction (unsigned n, T z, const Policy &pol)
template<class T , class Policy >
T	expint_as_series (unsigned n, T z, const Policy &pol)
template<class T , class Policy , class Tag >
T	expint_imp (unsigned n, T z, const Policy &pol, const Tag &tag)
template<class T , class Policy >
T	expint_i_as_series (T z, const Policy &pol)
template<class T , class Policy , class Tag >
T	expint_i_imp (T z, const Policy &pol, const Tag &tag)
template<class T , class Policy >
T	expint_i_imp (T z, const Policy &pol, const mpl::int_< 53 > &tag)
template<class T , class Policy >
T	expint_i_imp (T z, const Policy &pol, const mpl::int_< 64 > &tag)
template<class T , class Policy >
void	expint_i_imp_113a (T &result, const T &z, const Policy &pol)
template<class T >
void	expint_i_113b (T &result, const T &z)
template<class T >
void	expint_i_113c (T &result, const T &z)
template<class T >
void	expint_i_113d (T &result, const T &z)
template<class T >
void	expint_i_113e (T &result, const T &z)
template<class T >
void	expint_i_113f (T &result, const T &z)
template<class T >
void	expint_i_113g (T &result, const T &z)
template<class T >
void	expint_i_113h (T &result, const T &z)
template<class T , class Policy >
T	expint_i_imp (T z, const Policy &pol, const mpl::int_< 113 > &tag)
template<class T , class Policy >
tools::promote_args< T >::type	expint_forwarder (T z, const Policy &, mpl::true_ const &)
template<class T >
tools::promote_args< T >::type	expint_forwarder (unsigned n, T z, const mpl::false_ &)
template<class T , class Policy >
T	expm1_imp (T x, const mpl::int_< 0 > &, const Policy &pol)
template<class T , class P >
T	expm1_imp (T x, const mpl::int_< 53 > &, const P &pol)
template<class T , class P >
T	expm1_imp (T x, const mpl::int_< 64 > &, const P &pol)
template<class T , class P >
T	expm1_imp (T x, const mpl::int_< 113 > &, const P &pol)
template<class T , class Policy >
T	rising_factorial_imp (T x, int n, const Policy &pol)
template<class T , class Policy >
T	falling_factorial_imp (T x, unsigned n, const Policy &pol)
template<class T >
int fpclassify_imp	BOOST_NO_MACRO_EXPAND (T t, const generic_tag< true > &)
template<class T >
int fpclassify_imp	BOOST_NO_MACRO_EXPAND (T t, const generic_tag< false > &)
template<class T >
int fpclassify_imp	BOOST_NO_MACRO_EXPAND (T x, ieee_copy_all_bits_tag)
template<class T >
int fpclassify_imp	BOOST_NO_MACRO_EXPAND (T x, ieee_copy_leading_bits_tag)
template<class T >
bool	isfinite_impl (T x, generic_tag< true > const &)
template<class T >
bool	isfinite_impl (T x, generic_tag< false > const &)
template<class T >
bool	isfinite_impl (T x, ieee_tag const &)
template<class T >
bool	isnormal_impl (T x, generic_tag< true > const &)
template<class T >
bool	isnormal_impl (T x, generic_tag< false > const &)
template<class T >
bool	isnormal_impl (T x, ieee_tag const &)
template<class T >
bool	isinf_impl (T x, generic_tag< true > const &)
template<class T >
bool	isinf_impl (T x, generic_tag< false > const &)
template<class T >
bool	isinf_impl (T x, ieee_copy_all_bits_tag const &)
template<class T >
bool	isinf_impl (T x, ieee_copy_leading_bits_tag const &)
template<class T >
bool	isnan_impl (T x, generic_tag< true > const &)
template<class T >
bool	isnan_impl (T x, generic_tag< false > const &)
template<class T >
bool	isnan_impl (T x, ieee_copy_all_bits_tag const &)
template<class T >
bool	isnan_impl (T x, ieee_copy_leading_bits_tag const &)
template<class T >
bool	is_odd (T v, const boost::true_type &)
template<class T >
bool	is_odd (T v, const boost::false_type &)
template<class T >
bool	is_odd (T v)
template<class T >
T	sinpx (T z)
template<class T , class Policy , class Lanczos >
T	gamma_imp (T z, const Policy &pol, const Lanczos &l)
template<class T , class Policy , class Lanczos >
T	lgamma_imp (T z, const Policy &pol, const Lanczos &l, int *sign=0)
template<class T >
T	upper_gamma_fraction (T a, T z, T eps)
template<class T , class Policy >
T	lower_gamma_series (T a, T z, const Policy &pol, T init_value=0)
template<class T >
std::size_t	highest_bernoulli_index ()
template<class T >
T	minimum_argument_for_bernoulli_recursion ()
template<class T , class Policy >
T	lgamma_imp (T z, const Policy &pol, const lanczos::undefined_lanczos &, int *sign=0)
template<class T , class Policy >
T	gamma_imp (T z, const Policy &pol, const lanczos::undefined_lanczos &)
template<class T , class Policy , class Lanczos >
T	tgammap1m1_imp (T dz, Policy const &pol, const Lanczos &l)
template<class T , class Policy >
T	tgammap1m1_imp (T dz, Policy const &pol, const ::boost::math::lanczos::undefined_lanczos &l)
template<class T , class Policy >
T	full_igamma_prefix (T a, T z, const Policy &pol)
template<class T , class Policy , class Lanczos >
T	regularised_gamma_prefix (T a, T z, const Policy &pol, const Lanczos &l)
template<class T , class Policy >
T	regularised_gamma_prefix (T a, T z, const Policy &pol, const lanczos::undefined_lanczos &)
template<class T , class Policy >
T	tgamma_small_upper_part (T a, T x, const Policy &pol, T *pgam=0, bool invert=false, T *pderivative=0)
template<class T , class Policy >
T	finite_gamma_q (T a, T x, Policy const &pol, T *pderivative=0)
template<class T , class Policy >
T	finite_half_gamma_q (T a, T x, T *p_derivative, const Policy &pol)
template<class T , class Policy >
T	gamma_incomplete_imp (T a, T x, bool normalised, bool invert, const Policy &pol, T *p_derivative)
template<class T , class Policy , class Lanczos >
T	tgamma_delta_ratio_imp_lanczos (T z, T delta, const Policy &pol, const Lanczos &l)
template<class T , class Policy >
T	tgamma_delta_ratio_imp_lanczos (T z, T delta, const Policy &pol, const lanczos::undefined_lanczos &)
template<class T , class Policy >
T	tgamma_delta_ratio_imp (T z, T delta, const Policy &pol)
template<class T , class Policy >
T	tgamma_ratio_imp (T x, T y, const Policy &pol)
template<class T , class Policy >
T	gamma_p_derivative_imp (T a, T x, const Policy &pol)
template<class T , class Policy >
tools::promote_args< T >::type	tgamma (T z, const Policy &, const mpl::true_)
template<class T1 , class T2 , class Policy >
tools::promote_args< T1, T2 >::type	tgamma (T1 a, T2 z, const Policy &, const mpl::false_)
template<class T1 , class T2 >
tools::promote_args< T1, T2 >::type	tgamma (T1 a, T2 z, const mpl::false_ tag)
template<class T , class Policy >
std::complex< T >	hankel_imp (T v, T x, const bessel_no_int_tag &, const Policy &pol, int sign)
template<class T , class Policy >
std::complex< T >	hankel_imp (int v, T x, const bessel_int_tag &, const Policy &pol, int sign)
template<class T , class Policy >
std::complex< T >	hankel_imp (T v, T x, const bessel_maybe_int_tag &, const Policy &pol, int sign)
template<class T , class Policy >
std::complex< T >	sph_hankel_imp (T v, T x, const Policy &pol, int sign)
template<class T >
T	hermite_imp (unsigned n, T x)
template<class T , class Policy >
T	hypot_imp (T x, T y, const Policy &pol)
template<class T , class Policy >
T	jacobi_recurse (const T &x, const T &k, T anm1, T bnm1, unsigned N, T *pTn, const Policy &pol)
template<class T , class Policy >
T	jacobi_imp (const T &x, const T &k, T *cn, T *dn, const Policy &pol, const char *function)
template<class T >
T	laguerre_imp (unsigned n, T x)
template<class T , class Policy >
tools::promote_args< T >::type	laguerre (unsigned n, T x, const Policy &, const mpl::true_ &)
template<class T >
tools::promote_args< T >::type	laguerre (unsigned n, unsigned m, T x, const mpl::false_ &)
template<class T , class Policy >
T	laguerre_imp (unsigned n, unsigned m, T x, const Policy &pol)
template<class T , class Policy >
T	legendre_imp (unsigned l, T x, const Policy &pol, bool second=false)
template<class T , class Policy >
T	legendre_p_imp (int l, int m, T x, T sin_theta_power, const Policy &pol)
template<class T , class Policy >
T	legendre_p_imp (int l, int m, T x, const Policy &pol)
template<class T , class Policy >
T	log1p_imp (T const &x, const Policy &pol, const mpl::int_< 0 > &)
template<class T , class Policy >
T	log1p_imp (T const &x, const Policy &pol, const mpl::int_< 53 > &)
template<class T , class Policy >
T	log1p_imp (T const &x, const Policy &pol, const mpl::int_< 64 > &)
template<class T , class Policy >
T	log1p_imp (T const &x, const Policy &pol, const mpl::int_< 24 > &)
template<class T >
T	get_smallest_value (mpl::true_ const &)
template<class T >
T	get_smallest_value (mpl::false_ const &)
template<class T >
T	get_smallest_value ()
template<class T >
T	get_min_shift_value ()
template<class T , class Policy >
T	float_next_imp (const T &val, const Policy &pol)
template<class T , class Policy >
T	float_prior_imp (const T &val, const Policy &pol)
template<class T , class Policy >
T	float_distance_imp (const T &a, const T &b, const Policy &pol)
template<class T , class Policy >
T	float_advance_imp (T val, int distance, const Policy &pol)
template<typename RealType >
RealType	owens_t_znorm1 (const RealType x)
template<typename RealType >
RealType	owens_t_znorm2 (const RealType x)
template<typename RealType >
unsigned short	owens_t_compute_code (const RealType h, const RealType a)
template<typename RealType >
unsigned short	owens_t_get_order_imp (const unsigned short icode, RealType, const mpl::int_< 53 > &)
template<typename RealType >
unsigned short	owens_t_get_order_imp (const unsigned short icode, RealType, const mpl::int_< 64 > &)
template<typename RealType , typename Policy >
unsigned short	owens_t_get_order (const unsigned short icode, RealType r, const Policy &)
template<typename RealType , typename Policy >
RealType	owens_t_T1 (const RealType h, const RealType a, const unsigned short m, const Policy &pol)
template<typename RealType , class Policy >
RealType	owens_t_T2 (const RealType h, const RealType a, const unsigned short m, const RealType ah, const Policy &, const mpl::false_ &)
template<typename RealType >
RealType	owens_t_T3_imp (const RealType h, const RealType a, const RealType ah, const mpl::int_< 53 > &)
template<class RealType >
RealType	owens_t_T3_imp (const RealType h, const RealType a, const RealType ah, const mpl::int_< 64 > &)
template<class RealType , class Policy >
RealType	owens_t_T3 (const RealType h, const RealType a, const RealType ah, const Policy &)
template<typename RealType >
RealType	owens_t_T4 (const RealType h, const RealType a, const unsigned short m)
template<typename RealType >
RealType	owens_t_T5_imp (const RealType h, const RealType a, const mpl::int_< 53 > &)
template<typename RealType >
RealType	owens_t_T5_imp (const RealType h, const RealType a, const mpl::int_< 64 > &)
template<class RealType , class Policy >
RealType	owens_t_T5 (const RealType h, const RealType a, const Policy &)
template<typename RealType >
RealType	owens_t_T6 (const RealType h, const RealType a)
template<class T , class Policy >
std::pair< T, T >	owens_t_T1_accelerated (T h, T a, const Policy &pol)
template<typename RealType , class Policy >
RealType	owens_t_T2 (const RealType h, const RealType a, const unsigned short m, const RealType ah, const Policy &, const mpl::true_ &)
template<typename RealType , class Policy >
std::pair< RealType, RealType >	owens_t_T2_accelerated (const RealType h, const RealType a, const RealType ah, const Policy &)
template<typename RealType , typename Policy >
RealType	T4_mp (const RealType h, const RealType a, const Policy &pol)
template<typename RealType , typename Policy >
RealType	owens_t_dispatch (const RealType h, const RealType a, const RealType ah, const Policy &pol, mpl::int_< 64 > const &)
template<typename RealType , typename Policy >
RealType	owens_t_dispatch (const RealType h, const RealType a, const RealType ah, const Policy &pol, const mpl::int_< 65 > &)
template<typename RealType , typename Policy >
RealType	owens_t_dispatch (const RealType h, const RealType a, const RealType ah, const Policy &pol, const mpl::int_< 0 > &)
template<typename RealType , typename Policy >
RealType	owens_t_dispatch (const RealType h, const RealType a, const RealType ah, const Policy &pol)
template<typename RealType , class Policy >
RealType	owens_t (RealType h, RealType a, const Policy &pol)
template<class T , class Policy >
T	powm1_imp (const T a, const T z, const Policy &pol)
template<class T , class Policy >
tools::promote_args< T >::type	round (const T &v, const Policy &pol, const mpl::false_)
template<class T , class Policy >
tools::promote_args< T >::type	round (const T &v, const Policy &, const mpl::true_)
template<class T >
int	signbit_impl (T x, generic_tag< true > const &)
template<class T >
int	signbit_impl (T x, generic_tag< false > const &)
template<class T >
int	signbit_impl (T x, ieee_copy_all_bits_tag const &)
template<class T >
int	signbit_impl (T x, ieee_copy_leading_bits_tag const &)
template<class T >
T()	changesign_impl (T x, generic_tag< true > const &)
template<class T >
T()	changesign_impl (T x, generic_tag< false > const &)
template<class T >
T	changesign_impl (T x, ieee_copy_all_bits_tag const &)
template<class T >
T()	changesign_impl (T x, ieee_copy_leading_bits_tag const &)
template<class T , class Policy >
T	sin_pi_imp (T x, const Policy &pol)
template<typename T >
T	sinc_pi_imp (const T x)
template<typename T >
T	sinhc_pi_imp (const T x)
template<class T , class Policy >
T	spherical_harmonic_prefix (unsigned n, unsigned m, T theta, const Policy &pol)
template<class T , class Policy >
T	spherical_harmonic_r (unsigned n, int m, T theta, T phi, const Policy &pol)
template<class T , class Policy >
T	spherical_harmonic_i (unsigned n, int m, T theta, T phi, const Policy &pol)
template<class T , class U , class Policy >
std::complex< T >	spherical_harmonic (unsigned n, int m, U theta, U phi, const Policy &pol)
template<class T , class Policy >
tools::promote_args< T >::type	trunc (const T &v, const Policy &pol, const mpl::false_ &)
template<class T , class Policy >
tools::promote_args< T >::type	trunc (const T &v, const Policy &, const mpl::true_ &)
template<class T , class Policy >
T	zeta_polynomial_series (T s, T sc, Policy const &)
template<class T , class Policy >
T	zeta_imp_prec (T s, T sc, const Policy &pol, const mpl::int_< 0 > &)
template<class T , class Policy >
T	zeta_imp_prec (T s, T sc, const Policy &, const mpl::int_< 53 > &)
template<class T , class Policy >
T	zeta_imp_prec (T s, T sc, const Policy &, const mpl::int_< 64 > &)
template<class T , class Policy >
T	zeta_imp_prec (T s, T sc, const Policy &, const mpl::int_< 113 > &)
template<class T , class Policy , class Tag >
T	zeta_imp (T s, T sc, const Policy &pol, const Tag &tag)

Typedef Documentation

typedef mpl::int_<2> boost::math::detail::bessel_int_tag

typedef mpl::int_<1> boost::math::detail::bessel_maybe_int_tag

typedef mpl::int_<0> boost::math::detail::bessel_no_int_tag

Function Documentation

template<typename T , typename Policy >

T boost::math::detail::acosh_imp ( const T  x, const Policy &  pol  )

inline

References BOOST_MATH_STD_USING, boost::math::ef::log(), boost::math::log1p, boost::geometry::math::sqrt(), T, boost::flyweights::x, and boost::polygon::y().

Referenced by boost::math::acosh().

template<class T , class Policy >

T boost::math::detail::airy_ai_imp	(	T	x,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::math::cyl_bessel_j(), boost::math::cyl_bessel_k(), boost::math::fabs(), boost::multiprecision::backends::p, boost::math::pow(), boost::geometry::math::sqrt(), T, and boost::math::tgamma().

template<class T , class Policy >

T boost::math::detail::airy_ai_prime_imp	(	T	x,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::math::cbrt(), boost::math::cyl_bessel_j(), boost::math::cyl_bessel_k(), boost::math::fabs(), boost::multiprecision::backends::p, boost::geometry::math::sqrt(), T, and boost::math::tgamma().

template<class T , class Policy >

T boost::math::detail::airy_ai_zero_imp	(	int	m,
		const Policy &	pol
	)

References boost::locale::period::am(), BOOST_MATH_STD_USING, boost::accumulators::extract::max, boost::math::tools::newton_raphson_iterate(), boost::geometry::math::sqrt(), and T.

template<class T , class Policy >

T boost::math::detail::airy_bi_imp	(	T	x,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::math::cbrt(), boost::math::cyl_bessel_i(), boost::math::cyl_bessel_j(), boost::math::fabs(), boost::multiprecision::backends::p, boost::geometry::math::sqrt(), T, and boost::math::tgamma().

template<class T , class Policy >

T boost::math::detail::airy_bi_prime_imp	(	T	x,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::math::cbrt(), boost::math::cyl_bessel_i(), boost::math::cyl_bessel_j(), boost::math::fabs(), boost::multiprecision::backends::p, boost::geometry::math::sqrt(), T, and boost::math::tgamma().

template<class T , class Policy >

T boost::math::detail::airy_bi_zero_imp	(	int	m,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::accumulators::extract::max, boost::math::tools::newton_raphson_iterate(), boost::geometry::math::sqrt(), and T.

template<typename T , class Policy >

T boost::math::detail::asinh_imp ( const T  x, const Policy &  pol  )

inline

References boost::math::abs(), boost::math::asinh(), BOOST_MATH_STD_USING, boost::math::ef::log(), boost::math::log1p, boost::geometry::math::sqrt(), boost::math::sqrt1pm1(), T, and boost::flyweights::x.

Referenced by boost::math::asinh().

template<typename T , typename Policy >

T boost::math::detail::atanh_imp ( const T  x, const Policy &  pol  )

inline

References boost::math::abs(), BOOST_MATH_STD_USING, boost::math::ef::log(), boost::math::log1p, T, and boost::flyweights::x.

Referenced by boost::math::atanh().

template<class T , class OutputIterator , class Policy , int N>

OutputIterator boost::math::detail::bernoulli_number_imp	(	OutputIterator	out,
		std::size_t	start,
		std::size_t	n,
		const Policy &	pol,
		const mpl::int_< N > &	tag
	)

References boost::multiprecision::backends::i, boost::accumulators::extract::max, boost::n, boost::out, T, and boost::program_options::value().

template<class T , class OutputIterator , class Policy >

OutputIterator boost::math::detail::bernoulli_number_imp	(	OutputIterator	out,
		std::size_t	start,
		std::size_t	n,
		const Policy &	pol,
		const mpl::int_< 0 > &	tag
	)

References boost::multiprecision::backends::i, boost::out, and boost::program_options::value().

boost::math::ef::e_float boost::math::detail::bessel_i0

(

boost::math::ef::e_float

x

)

References BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), boost::lexical_cast(), boost::math::ef::sqrt(), boost::program_options::value(), boost::flyweights::x, and boost::polygon::y().

Referenced by cyl_bessel_i_imp().

mpfr::mpreal boost::math::detail::bessel_i0 ( mpfr::mpreal  x )

inline

References BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), boost::lexical_cast(), boost::geometry::math::sqrt(), boost::program_options::value(), boost::flyweights::x, and boost::polygon::y().

mpfr_class boost::math::detail::bessel_i0 ( mpfr_class  x )

inline

References BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), boost::lexical_cast(), boost::geometry::math::sqrt(), boost::program_options::value(), boost::flyweights::x, and boost::polygon::y().

boost::math::ef::e_float boost::math::detail::bessel_i1

(

boost::math::ef::e_float

x

)

References boost::math::abs(), BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), boost::lexical_cast(), boost::math::ef::sqrt(), boost::program_options::value(), boost::flyweights::x, and boost::polygon::y().

Referenced by cyl_bessel_i_imp().

mpfr::mpreal boost::math::detail::bessel_i1 ( mpfr::mpreal  x )

inline

References boost::math::abs(), BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), boost::geometry::math::sqrt(), boost::program_options::value(), boost::flyweights::x, and boost::polygon::y().

mpfr_class boost::math::detail::bessel_i1 ( mpfr_class  x )

inline

References boost::math::abs(), BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), boost::geometry::math::sqrt(), boost::program_options::value(), boost::flyweights::x, and boost::polygon::y().

template<class RT1 , class RT2 , class Policy >

tools::promote_args<RT1, RT2>::type boost::math::detail::beta ( RT1  a, RT2  b, const Policy &  , const mpl::true_ *    )

inline

References beta_imp(), BOOST_FPU_EXCEPTION_GUARD, and boost::math::policies::checked_narrowing_cast().

Referenced by boost::math::beta(), ellint_rj_imp(), non_central_beta_p(), non_central_beta_pdf(), non_central_beta_q(), non_central_t2_p(), and non_central_t2_q().

template<class RT1 , class RT2 , class RT3 >

tools::promote_args<RT1, RT2, RT3>::type boost::math::detail::beta ( RT1  a, RT2  b, RT3  x, const mpl::false_ *    )

inline

References boost::math::beta().

template<class T , class Lanczos , class Policy >

T boost::math::detail::beta_imp	(	T	a,
		T	b,
		const Lanczos &	,
		const Policy &	pol
	)

References boost::a, boost::asio::b, BOOST_MATH_STD_USING, boost::multiprecision::backends::c, boost::math::exp(), boost::math::fabs(), boost::math::log1p, boost::math::pow(), boost::geometry::math::sqrt(), boost::swap, T, and boost::math::tgamma().

Referenced by beta().

template<class T , class Policy >

T boost::math::detail::beta_imp	(	T	a,
		T	b,
		const lanczos::undefined_lanczos &	,
		const Policy &	pol
	)

References boost::a, boost::asio::b, BOOST_MATH_STD_USING, boost::multiprecision::backends::c, boost::math::exp(), lower_gamma_series(), boost::accumulators::extract::max, boost::math::pow(), boost::swap, T, boost::math::tgamma(), and upper_gamma_fraction().

template<class T , class Policy >

T boost::math::detail::beta_small_b_large_a_series	(	T	a,
		T	b,
		T	x,
		T	y,
		T	s0,
		T	mult,
		const Policy &	pol,
		bool	normalised
	)

References boost::asio::b, BOOST_MATH_STD_USING, boost::math::fabs(), full_igamma_prefix(), boost::math::gamma_q(), boost::math::ef::log(), boost::math::log1p, boost::n, boost::multiprecision::backends::p, boost::math::pow(), regularised_gamma_prefix(), boost::xpressive::s0, boost::accumulators::extract::sum, T, boost::flyweights::t, and boost::math::tgamma_delta_ratio().

Referenced by ibeta_imp().

template<class T >

T boost::math::detail::binomial_ccdf ( T  n, T  k, T  x, T  y  )

inline

References BOOST_MATH_STD_USING, boost::multiprecision::backends::i, boost::math::itrunc(), boost::math::pow(), and T.

Referenced by ibeta_imp().

template<class T >

int fpclassify_imp boost::math::detail::BOOST_NO_MACRO_EXPAND ( T  t, const generic_tag< true > &    )

inline

References boost::xpressive::at, BOOST_MATH_INSTRUMENT_VARIABLE, boost::math_detail::is_nan_helper(), boost::accumulators::extract::max, boost::accumulators::extract::min, and T.

template<class T >

int fpclassify_imp boost::math::detail::BOOST_NO_MACRO_EXPAND ( T  t, const generic_tag< false > &    )

inline

References BOOST_MATH_INSTRUMENT_VARIABLE.

template<class T >

int fpclassify_imp boost::math::detail::BOOST_NO_MACRO_EXPAND	(	T	x,
		ieee_copy_all_bits_tag
	)

References boost::a, BOOST_DEDUCED_TYPENAME, BOOST_MATH_INSTRUMENT_VARIABLE, and boost::detail::type.

template<class T >

int fpclassify_imp boost::math::detail::BOOST_NO_MACRO_EXPAND	(	T	x,
		ieee_copy_leading_bits_tag
	)

References boost::a, BOOST_DEDUCED_TYPENAME, BOOST_MATH_INSTRUMENT_VARIABLE, and boost::detail::type.

template<>

int fpclassify_imp< boost::math::ef::e_float> boost::math::detail::BOOST_NO_MACRO_EXPAND ( boost::math::ef::e_float  x, const generic_tag< true > &    )

inline

References boost::math::ef::e_float::value().

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

std::pair<T, T> boost::math::detail::bracket_and_solve_root_01	(	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_STD_USING, count, boost::math::fabs(), boost::xpressive::make_pair, boost::math::policies::raise_evaluation_error(), boost::math::sign(), T, and boost::math::tools::toms748_solve().

Referenced by nc_beta_quantile().

template<class T , class Policy >

T boost::math::detail::cbrt_imp	(	T	z,
		const Policy &	pol
	)

References boost::math::abs(), BOOST_MATH_STD_USING, boost::BOOST_STATIC_ASSERT(), boost::math::tools::digits(), boost::spirit::x3::eps, boost::math::tools::evaluate_polynomial(), boost::math::fabs(), boost::math::ef::frexp(), boost::math::isfinite(), boost::math::ef::ldexp(), boost::math::policies::raise_domain_error(), boost::math::sign(), T, and boost::program_options::value().

Referenced by boost::math::cbrt().

template<class RealType , class Policy >

RealType boost::math::detail::cdf_imp	(	const cauchy_distribution< RealType, Policy > &	dist,
		const RealType &	x,
		bool	complement
	)

References boost::math::atan(), BOOST_MATH_STD_USING, boost::math::beta_detail::check_x(), boost::math::complement(), boost::math::fabs(), boost::math::cauchy_distribution< RealType, Policy >::location(), boost::math::location(), boost::math::cauchy_distribution< RealType, Policy >::scale(), and boost::math::scale().

Referenced by boost::math::cdf().

template<class T >

T() boost::math::detail::changesign_impl ( T  x, generic_tag< true > const &    )

inline

References boost::flyweights::x.

Referenced by boost::math::changesign().

template<class T >

T() boost::math::detail::changesign_impl ( T  x, generic_tag< false > const &    )

inline

References boost::flyweights::x.

template<class T >

T boost::math::detail::changesign_impl ( T  x, ieee_copy_all_bits_tag const &    )

inline

References boost::a, BOOST_DEDUCED_TYPENAME, and boost::flyweights::x.

template<class T >

T() boost::math::detail::changesign_impl ( T  x, ieee_copy_leading_bits_tag const &    )

inline

References boost::a, BOOST_DEDUCED_TYPENAME, and boost::flyweights::x.

template<class RealType , class Policy >

bool boost::math::detail::check_gamma ( const char *  function, RealType  scale, RealType  shape, RealType *  result, const Policy &  pol  )

inline

References check_gamma_shape().

Referenced by boost::math::cdf(), boost::math::gamma_distribution< RealType, Policy >::gamma_distribution(), boost::math::kurtosis_excess(), boost::math::mean(), boost::math::mode(), boost::math::pdf(), boost::math::quantile(), boost::math::skewness(), and boost::math::variance().

template<class RealType , class Policy >

bool boost::math::detail::check_gamma_shape ( const char *  function, RealType  shape, RealType *  result, const Policy &  pol  )

inline

References boost::math::isfinite(), and boost::math::shape().

Referenced by check_gamma().

template<class RealType , class Policy >

bool boost::math::detail::check_gamma_x ( const char *  function, RealType const &  x, RealType *  result, const Policy &  pol  )

inline

References boost::math::isfinite(), and boost::flyweights::x.

Referenced by boost::math::cdf(), and boost::math::pdf().

template<class RealType , class Policy >

bool boost::math::detail::check_inverse_chi_squared ( const char *  function, RealType  degrees_of_freedom, RealType  scale, RealType *  result, const Policy &  pol  )

inline

Referenced by boost::math::cdf(), and boost::math::pdf().

template<class RealType , class Policy >

bool boost::math::detail::check_inverse_gamma ( const char *  function, RealType  scale, RealType  shape, RealType *  result, const Policy &  pol  )

inline

References check_inverse_gamma_shape().

Referenced by boost::math::cdf(), boost::math::inverse_gamma_distribution< RealType, Policy >::inverse_gamma_distribution(), boost::math::mode(), boost::math::pdf(), and boost::math::quantile().

template<class RealType , class Policy >

bool boost::math::detail::check_inverse_gamma_shape ( const char *  function, RealType  shape, RealType *  result, const Policy &  pol  )

inline

References boost::math::isfinite(), and boost::math::shape().

Referenced by check_inverse_gamma().

template<class RealType , class Policy >

bool boost::math::detail::check_inverse_gamma_x ( const char *  function, RealType const &  x, RealType *  result, const Policy &  pol  )

inline

References boost::math::isfinite(), and boost::flyweights::x.

Referenced by boost::math::cdf(), and boost::math::pdf().

template<class RealType , class Policy >

bool boost::math::detail::check_lognormal_x ( const char *  function, RealType const &  x, RealType *  result, const Policy &  pol  )

inline

References boost::math::isfinite(), and boost::flyweights::x.

Referenced by boost::math::cdf(), and boost::math::pdf().

template<class RealType , class Policy >

bool boost::math::detail::check_pareto ( const char *  function, RealType  scale, RealType  shape, RealType *  result, const Policy &  pol  )

inline

References check_pareto_scale(), and check_pareto_shape().

Referenced by boost::math::cdf(), boost::math::kurtosis(), boost::math::kurtosis_excess(), boost::math::mean(), boost::math::median(), boost::math::pareto_distribution< RealType, Policy >::pareto_distribution(), boost::math::pdf(), boost::math::quantile(), boost::math::skewness(), and boost::math::variance().

template<class RealType , class Policy >

bool boost::math::detail::check_pareto_scale ( const char *  function, RealType  scale, RealType *  result, const Policy &  pol  )

inline

References boost::math::isfinite(), and boost::math::scale().

Referenced by check_pareto().

template<class RealType , class Policy >

bool boost::math::detail::check_pareto_shape ( const char *  function, RealType  shape, RealType *  result, const Policy &  pol  )

inline

References boost::math::isfinite(), and boost::math::shape().

Referenced by check_pareto().

template<class RealType , class Policy >

bool boost::math::detail::check_pareto_x ( const char *  function, RealType const &  x, RealType *  result, const Policy &  pol  )

inline

References boost::math::isfinite(), and boost::flyweights::x.

Referenced by boost::math::cdf(), and boost::math::pdf().

template<class RealType , class Policy >

bool boost::math::detail::check_skew_normal_shape ( const char *  function, RealType  shape, RealType *  result, const Policy &  pol  )

inline

References boost::math::isfinite(), and boost::math::shape().

Referenced by boost::math::cdf(), boost::math::mode(), mode_fallback(), boost::math::pdf(), boost::math::quantile(), and boost::math::skew_normal_distribution< RealType, Policy >::skew_normal_distribution().

template<class RealType , class Policy >

bool boost::math::detail::check_triangular ( const char *  function, RealType  lower, RealType  mode, RealType  upper, RealType *  result, const Policy &  pol  )

inline

References check_triangular_lower(), check_triangular_mode(), and check_triangular_upper().

Referenced by boost::math::cdf(), boost::math::kurtosis(), boost::math::kurtosis_excess(), boost::math::mean(), boost::math::pdf(), boost::math::quantile(), boost::math::skewness(), boost::math::triangular_distribution< RealType, Policy >::triangular_distribution(), and boost::math::variance().

template<class RealType , class Policy >

bool boost::math::detail::check_triangular_lower ( const char *  function, RealType  lower, RealType *  result, const Policy &  pol  )

inline

References boost::math::isfinite().

Referenced by check_triangular().

template<class RealType , class Policy >

bool boost::math::detail::check_triangular_mode ( const char *  function, RealType  mode, RealType *  result, const Policy &  pol  )

inline

References boost::math::isfinite(), and boost::math::mode().

Referenced by check_triangular(), boost::math::median(), and boost::math::mode().

template<class RealType , class Policy >

bool boost::math::detail::check_triangular_upper ( const char *  function, RealType  upper, RealType *  result, const Policy &  pol  )

inline

References boost::math::isfinite().

Referenced by check_triangular().

template<class RealType , class Policy >

bool boost::math::detail::check_triangular_x ( const char *  function, RealType const &  x, RealType *  result, const Policy &  pol  )

inline

References boost::math::isfinite(), and boost::flyweights::x.

Referenced by boost::math::cdf(), and boost::math::pdf().

template<class RealType , class Policy >

bool boost::math::detail::check_uniform ( const char *  function, RealType  lower, RealType  upper, RealType *  result, const Policy &  pol  )

inline

References check_uniform_lower(), and check_uniform_upper().

Referenced by boost::math::cdf(), boost::math::kurtosis_excess(), boost::math::mean(), boost::math::median(), boost::math::mode(), boost::math::pdf(), boost::math::quantile(), boost::math::skewness(), boost::math::uniform_distribution< RealType, Policy >::uniform_distribution(), and boost::math::variance().

template<class RealType , class Policy >

bool boost::math::detail::check_uniform_lower ( const char *  function, RealType  lower, RealType *  result, const Policy &  pol  )

inline

References boost::math::isfinite().

Referenced by check_uniform().

template<class RealType , class Policy >

bool boost::math::detail::check_uniform_upper ( const char *  function, RealType  upper, RealType *  result, const Policy &  pol  )

inline

References boost::math::isfinite().

Referenced by check_uniform().

template<class RealType , class Policy >

bool boost::math::detail::check_uniform_x ( const char *  function, RealType const &  x, RealType *  result, const Policy &  pol  )

inline

References boost::math::isfinite(), and boost::flyweights::x.

Referenced by boost::math::cdf(), and boost::math::pdf().

template<class RealType , class Policy >

bool boost::math::detail::check_weibull ( const char *  function, RealType  scale, RealType  shape, RealType *  result, const Policy &  pol  )

inline

References check_weibull_shape().

Referenced by boost::math::cdf(), boost::math::kurtosis_excess(), boost::math::mean(), boost::math::median(), boost::math::mode(), boost::math::pdf(), boost::math::quantile(), boost::math::skewness(), boost::math::variance(), and boost::math::weibull_distribution< RealType, Policy >::weibull_distribution().

template<class RealType , class Policy >

bool boost::math::detail::check_weibull_shape ( const char *  function, RealType  shape, RealType *  result, const Policy &  pol  )

inline

References boost::math::isfinite(), and boost::math::shape().

Referenced by check_weibull().

template<class RealType , class Policy >

bool boost::math::detail::check_weibull_x ( const char *  function, RealType const &  x, RealType *  result, const Policy &  pol  )

inline

References boost::math::isfinite(), and boost::flyweights::x.

Referenced by boost::math::cdf(), and boost::math::pdf().

template<class T , class Policy >

T boost::math::detail::cos_pi_imp	(	T	x,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::math::cos(), boost::math::fabs(), boost::chrono::floor(), boost::iostreams::grep::invert, boost::math::itrunc(), T, and boost::flyweights::x.

template<class T , class Policy >

T boost::math::detail::cyl_bessel_i_imp	(	T	v,
		T	x,
		const Policy &	pol
	)

References bessel_i0(), bessel_i1(), BOOST_MATH_STD_USING, boost::math::exp(), boost::chrono::floor(), boost::math::iround(), boost::math::sinh(), boost::geometry::math::sqrt(), T, and boost::flyweights::x.

template<class T , class Policy >

T boost::math::detail::cyl_bessel_i_prime_imp ( T  v, T  x, const Policy &  pol  )

inline

References BOOST_MATH_STD_USING, boost::chrono::floor(), and boost::flyweights::x.

template<class T , class Policy >

T boost::math::detail::cyl_bessel_j_imp	(	T	v,
		T	x,
		const bessel_no_int_tag &	t,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::chrono::floor(), boost::math::iround(), T, boost::flyweights::x, and boost::polygon::y().

Referenced by cyl_bessel_j_imp(), and sph_bessel_j_imp().

template<class T , class Policy >

T boost::math::detail::cyl_bessel_j_imp ( T  v, T  x, const bessel_maybe_int_tag &  , const Policy &  pol  )

inline

References BOOST_MATH_STD_USING, and cyl_bessel_j_imp().

template<class T , class Policy >

T boost::math::detail::cyl_bessel_j_imp ( int  v, T  x, const bessel_int_tag &  , const Policy &  pol  )

inline

References BOOST_MATH_STD_USING.

template<class Tag , class T , class Policy >

T boost::math::detail::cyl_bessel_j_prime_imp ( T  v, T  x, const Policy &  pol  )

inline

References boost::math::abs(), BOOST_MATH_STD_USING, boost::chrono::floor(), boost::math::itrunc(), T, and boost::flyweights::x.

template<class T , class Policy >

T boost::math::detail::cyl_bessel_j_zero_imp ( T  v, int  m, const Policy &  pol  )

inline

References BOOST_MATH_STD_USING, boost::chrono::floor(), boost::math::isfinite(), boost::math::tools::newton_raphson_iterate(), and T.

Referenced by cyl_neumann_zero_imp().

template<class T , class Policy >

T boost::math::detail::cyl_bessel_k_imp ( T  v, T  x, const bessel_no_int_tag &  , const Policy &  pol  )

inline

References BOOST_MATH_STD_USING, T, and boost::flyweights::x.

Referenced by cyl_bessel_k_imp().

template<class T , class Policy >

T boost::math::detail::cyl_bessel_k_imp ( T  v, T  x, const bessel_maybe_int_tag &  , const Policy &  pol  )

inline

References BOOST_MATH_STD_USING, cyl_bessel_k_imp(), boost::chrono::floor(), and boost::math::itrunc().

template<class T , class Policy >

T boost::math::detail::cyl_bessel_k_imp ( int  v, T  x, const bessel_int_tag &  , const Policy &  pol  )

inline

template<class Tag , class T , class Policy >

T boost::math::detail::cyl_bessel_k_prime_imp ( T  v, T  x, const Policy &  pol  )

inline

References boost::flyweights::x.

template<class T , class Policy >

T boost::math::detail::cyl_neumann_imp ( T  v, T  x, const bessel_no_int_tag &  , const Policy &  pol  )

inline

References BOOST_MATH_INSTRUMENT_VARIABLE, boost::math::isfinite(), T, boost::flyweights::x, and boost::polygon::y().

Referenced by sph_neumann_imp().

template<class T , class Policy >

T boost::math::detail::cyl_neumann_imp ( T  v, T  x, const bessel_maybe_int_tag &  , const Policy &  pol  )

inline

References boost::math::abs(), BOOST_MATH_INSTRUMENT_VARIABLE, BOOST_MATH_STD_USING, boost::chrono::floor(), boost::math::itrunc(), T, and boost::flyweights::x.

template<class T , class Policy >

T boost::math::detail::cyl_neumann_imp ( int  v, T  x, const bessel_int_tag &  , const Policy &  pol  )

inline

References boost::math::abs(), BOOST_MATH_INSTRUMENT_VARIABLE, BOOST_MATH_STD_USING, and T.

template<class Tag , class T , class Policy >

T boost::math::detail::cyl_neumann_prime_imp ( T  v, T  x, const Policy &  pol  )

inline

References BOOST_MATH_STD_USING, boost::spirit::x3::eps, boost::chrono::floor(), boost::math::ef::log(), T, and boost::flyweights::x.

template<class T , class Policy >

T boost::math::detail::cyl_neumann_zero_imp ( T  v, int  m, const Policy &  pol  )

inline

References BOOST_MATH_STD_USING, cyl_bessel_j_zero_imp(), boost::chrono::floor(), boost::math::isfinite(), boost::math::tools::newton_raphson_iterate(), and T.

template<class T , class Tag , class Policy >

T boost::math::detail::digamma_imp	(	T	x,
		const Tag *	t,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, digamma_imp_1_2(), digamma_imp_large(), digamma_large_lim(), boost::chrono::floor(), T, boost::math::tan(), and boost::flyweights::x.

template<class Policy >

mpfr::mpreal boost::math::detail::digamma_imp	(	mpfr::mpreal	x,
		const mpl::int_< 0 > *	,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::chrono::floor(), boost::math::tan(), and boost::flyweights::x.

template<class Policy >

mpfr_class boost::math::detail::digamma_imp	(	mpfr_class	x,
		const mpl::int_< 0 > *	,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::chrono::floor(), boost::math::tan(), and boost::flyweights::x.

template<class Policy >

boost::math::ef::e_float boost::math::detail::digamma_imp	(	boost::math::ef::e_float	x,
		const mpl::int_< 0 > *	,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::math::ef::floor(), boost::math::tan(), and boost::flyweights::x.

Referenced by boost::math::digamma().

template<class Policy >

ntl::RR boost::math::detail::digamma_imp	(	ntl::RR	x,
		const mpl::int_< 0 > *	,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::math::ntl::floor(), boost::math::tan(), and boost::flyweights::x.

template<class T >

T boost::math::detail::digamma_imp_1_2	(	T	x,
		const mpl::int_< 0 > *
	)

References BOOST_MATH_BIG_CONSTANT, boost::math::tools::evaluate_polynomial(), and T.

Referenced by digamma_imp().

template<class T >

T boost::math::detail::digamma_imp_1_2	(	T	x,
		const mpl::int_< 64 > *
	)

References BOOST_MATH_BIG_CONSTANT, boost::math::tools::evaluate_polynomial(), and T.

template<class T >

T boost::math::detail::digamma_imp_1_2	(	T	x,
		const mpl::int_< 53 > *
	)

References BOOST_MATH_BIG_CONSTANT, boost::math::tools::evaluate_polynomial(), and T.

template<class T >

T boost::math::detail::digamma_imp_1_2 ( T  x, const mpl::int_< 24 > *    )

inline

References boost::math::tools::evaluate_polynomial(), boost::spirit::lex::lexertl::detail::L(), boost::units::root(), and T.

template<class T >

T boost::math::detail::digamma_imp_large ( T  x, const mpl::int_< 0 > *    )

inline

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::ef::log(), T, and boost::flyweights::x.

Referenced by digamma_imp().

template<class T >

T boost::math::detail::digamma_imp_large ( T  x, const mpl::int_< 64 > *    )

inline

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::ef::log(), T, and boost::flyweights::x.

template<class T >

T boost::math::detail::digamma_imp_large ( T  x, const mpl::int_< 53 > *    )

inline

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::ef::log(), T, and boost::flyweights::x.

template<class T >

T boost::math::detail::digamma_imp_large ( T  x, const mpl::int_< 24 > *    )

inline

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::ef::log(), T, and boost::flyweights::x.

unsigned boost::math::detail::digamma_large_lim ( const mpl::int_< 0 > *  )

inline

Referenced by digamma_imp().

unsigned boost::math::detail::digamma_large_lim ( const void *  )

inline

template<typename T , typename Policy >

tools::promote_args<T>::type boost::math::detail::ellint_1 ( T  k, const Policy &  pol, const mpl::true_ &    )

inline

References boost::math::policies::checked_narrowing_cast(), and ellint_k_imp().

Referenced by boost::math::ellint_1().

template<class T1 , class T2 >

tools::promote_args<T1, T2>::type boost::math::detail::ellint_1 ( T1  k, T2  phi, const mpl::false_ &    )

inline

References boost::math::ellint_1().

template<typename T , typename Policy >

tools::promote_args<T>::type boost::math::detail::ellint_2 ( T  k, const Policy &  pol, const mpl::true_ &    )

inline

References boost::math::policies::checked_narrowing_cast(), and ellint_e_imp().

Referenced by boost::math::ellint_2().

template<class T1 , class T2 >

tools::promote_args<T1, T2>::type boost::math::detail::ellint_2 ( T1  k, T2  phi, const mpl::false_ &    )

inline

References boost::math::ellint_2().

template<class T1 , class T2 , class T3 >

tools::promote_args<T1, T2, T3>::type boost::math::detail::ellint_3 ( T1  k, T2  v, T3  phi, const mpl::false_ &    )

inline

References boost::math::ellint_3().

Referenced by boost::math::ellint_3().

template<class T1 , class T2 , class Policy >

tools::promote_args<T1, T2>::type boost::math::detail::ellint_3 ( T1  k, T2  v, const Policy &  pol, const mpl::true_ &    )

inline

References boost::math::policies::checked_narrowing_cast(), and ellint_pi_imp().

template<typename T , typename Policy >

T boost::math::detail::ellint_e_imp	(	T	k,
		const Policy &	pol
	)

References boost::math::abs(), BOOST_MATH_STD_USING, ellint_rd_imp(), ellint_rf_imp(), T, boost::flyweights::t, boost::program_options::value(), boost::flyweights::x, and boost::polygon::y().

Referenced by boost::math::ellint_2(), ellint_2(), and ellint_e_imp().

template<typename T , typename Policy >

T boost::math::detail::ellint_e_imp	(	T	phi,
		T	k,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::math::cos(), ellint_e_imp(), ellint_rd_imp(), ellint_rf_imp(), boost::math::fabs(), boost::math::tools::fmod_workaround(), boost::iostreams::grep::invert, boost::math::round(), boost::asio::s, boost::math::sin(), T, boost::flyweights::t, boost::flyweights::x, and boost::polygon::y().

template<typename T , typename Policy >

T boost::math::detail::ellint_f_imp	(	T	phi,
		T	k,
		const Policy &	pol
	)

References boost::math::abs(), BOOST_MATH_INSTRUMENT_CODE, BOOST_MATH_INSTRUMENT_VARIABLE, BOOST_MATH_STD_USING, boost::math::cos(), ellint_k_imp(), ellint_rf_imp(), boost::math::fabs(), boost::math::tools::fmod_workaround(), boost::iostreams::grep::invert, boost::math::round(), boost::asio::s, boost::math::sin(), and T.

Referenced by boost::math::ellint_1(), and ellint_pi_imp().

template<typename T , typename Policy >

T boost::math::detail::ellint_k_imp	(	T	k,
		const Policy &	pol
	)

References boost::math::abs(), BOOST_MATH_STD_USING, ellint_rf_imp(), T, boost::program_options::value(), boost::flyweights::x, and boost::polygon::y().

Referenced by ellint_1(), ellint_f_imp(), and ellint_pi_imp().

template<typename T , typename Policy >

T boost::math::detail::ellint_pi_imp	(	T	v,
		T	k,
		T	vc,
		const Policy &	pol
	)

References boost::math::abs(), BOOST_MATH_STD_USING, ellint_k_imp(), ellint_rf_imp(), ellint_rj_imp(), N, boost::multiprecision::backends::p, boost::geometry::math::sqrt(), T, boost::program_options::value(), boost::flyweights::x, and boost::polygon::y().

Referenced by ellint_3(), boost::math::ellint_3(), and ellint_pi_imp().

template<typename T , typename Policy >

T boost::math::detail::ellint_pi_imp	(	T	v,
		T	phi,
		T	k,
		T	vc,
		const Policy &	pol
	)

References boost::math::abs(), boost::math::atan(), BOOST_MATH_STD_USING, boost::math::cos(), boost::polygon::delta(), ellint_f_imp(), ellint_pi_imp(), ellint_rf_imp(), ellint_rj_imp(), boost::math::fabs(), boost::math::tools::fmod_workaround(), boost::math::ef::log(), boost::math::log1p, N, boost::multiprecision::backends::p, boost::math::round(), boost::math::sign(), boost::math::sin(), boost::geometry::math::sqrt(), T, boost::flyweights::t, boost::math::tan(), boost::program_options::value(), boost::flyweights::x, and boost::polygon::y().

template<typename T , typename Policy >

T boost::math::detail::ellint_rc_imp	(	T	x,
		T	y,
		const Policy &	pol
	)

References boost::math::abs(), BOOST_MATH_STD_USING, boost::math::pow(), boost::geometry::math::sqrt(), T, boost::program_options::value(), boost::flyweights::x, and boost::polygon::y().

Referenced by boost::math::ellint_rc().

template<typename T , typename Policy >

T boost::math::detail::ellint_rd_imp	(	T	x,
		T	y,
		T	z,
		const Policy &	pol
	)

References boost::math::abs(), BOOST_MATH_STD_USING, boost::accumulators::extract::max, boost::math::pow(), boost::geometry::math::sqrt(), T, boost::program_options::value(), boost::flyweights::x, and boost::polygon::y().

Referenced by ellint_e_imp(), and boost::math::ellint_rd().

template<typename T , typename Policy >

T boost::math::detail::ellint_rf_imp	(	T	x,
		T	y,
		T	z,
		const Policy &	pol
	)

References boost::math::abs(), BOOST_MATH_INSTRUMENT_VARIABLE, BOOST_MATH_STD_USING, boost::accumulators::extract::max, boost::math::pow(), boost::geometry::math::sqrt(), T, boost::program_options::value(), boost::flyweights::x, and boost::polygon::y().

Referenced by ellint_e_imp(), ellint_f_imp(), ellint_k_imp(), ellint_pi_imp(), and boost::math::ellint_rf().

template<typename T , typename Policy >

T boost::math::detail::ellint_rj_imp	(	T	x,
		T	y,
		T	z,
		T	p,
		const Policy &	pol
	)

References boost::math::abs(), boost::spirit::ascii::alpha, beta(), BOOST_ASSERT, BOOST_MATH_STD_USING, boost::math::ellint_rc(), boost::math::ellint_rf(), boost::math::ellint_rj(), boost::accumulators::extract::max, boost::multiprecision::backends::p, boost::math::pow(), boost::geometry::math::sqrt(), boost::swap, T, boost::program_options::value(), boost::flyweights::x, and boost::polygon::y().

Referenced by ellint_pi_imp(), and boost::math::ellint_rj().

template<class T , class Policy >

T boost::math::detail::erf_asymptotic_limit ( )

inline

References erf_asymptotic_limit_N(), boost::BOOST_SIGNALS_NAMESPACE::tag_type(), and boost::detail::type.

template<class T >

float boost::math::detail::erf_asymptotic_limit_N ( const T &  )

inline

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

Referenced by erf_asymptotic_limit().

float boost::math::detail::erf_asymptotic_limit_N ( const mpl::int_< 24 > &  )

inline

float boost::math::detail::erf_asymptotic_limit_N ( const mpl::int_< 53 > &  )

inline

float boost::math::detail::erf_asymptotic_limit_N ( const mpl::int_< 64 > &  )

inline

float boost::math::detail::erf_asymptotic_limit_N ( const mpl::int_< 106 > &  )

inline

float boost::math::detail::erf_asymptotic_limit_N ( const mpl::int_< 113 > &  )

inline

template<class T , class Policy , class Tag >

T boost::math::detail::erf_imp	(	T	z,
		bool	invert,
		const Policy &	pol,
		const Tag &	t
	)

References BOOST_MATH_INSTRUMENT_CODE, BOOST_MATH_STD_USING, boost::math::exp(), boost::iostreams::grep::invert, lower_gamma_series(), boost::asio::s, boost::geometry::math::sqrt(), boost::math::tools::sum_series(), T, tgamma_small_upper_part(), upper_gamma_fraction(), and boost::flyweights::x.

Referenced by boost::math::erf(), erf_imp(), and boost::math::erfc().

template<class T , class Policy >

T boost::math::detail::erf_imp	(	T	z,
		bool	invert,
		const Policy &	pol,
		const mpl::int_< 53 > &	t
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_INSTRUMENT_CODE, BOOST_MATH_INSTRUMENT_VARIABLE, BOOST_MATH_STD_USING, boost::multiprecision::backends::c, erf_imp(), boost::math::tools::evaluate_polynomial(), boost::math::exp(), boost::iostreams::grep::invert, and T.

template<class T , class Policy >

T boost::math::detail::erf_imp	(	T	z,
		bool	invert,
		const Policy &	pol,
		const mpl::int_< 64 > &	t
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_INSTRUMENT_CODE, BOOST_MATH_STD_USING, boost::multiprecision::backends::c, erf_imp(), boost::math::tools::evaluate_polynomial(), boost::math::exp(), boost::iostreams::grep::invert, and T.

template<class T , class Policy >

T boost::math::detail::erf_imp	(	T	z,
		bool	invert,
		const Policy &	pol,
		const mpl::int_< 113 > &	t
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_INSTRUMENT_CODE, BOOST_MATH_STD_USING, boost::multiprecision::backends::c, erf_imp(), boost::math::tools::evaluate_polynomial(), boost::math::exp(), boost::iostreams::grep::invert, and T.

template<class Policy >

mpfr::mpreal boost::math::detail::erf_inv_imp	(	const mpfr::mpreal &	p,
		const mpfr::mpreal &	q,
		const Policy &	,
		const boost::mpl::int_< 64 > *
	)

References BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::ef::log(), boost::geometry::math::sqrt(), and boost::flyweights::x.

template<class Policy >

mpfr_class boost::math::detail::erf_inv_imp ( const mpfr_class &  p, const mpfr_class &  q, const Policy &  , const boost::mpl::int_< 64 > *    )

inline

References BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::ef::log(), boost::geometry::math::sqrt(), and boost::flyweights::x.

template<class T >

T boost::math::detail::expint_1_rational ( const T &  z, const mpl::int_< 0 > &    )

inline

References BOOST_ASSERT.

Referenced by expint_imp().

template<class T >

T boost::math::detail::expint_1_rational	(	const T &	z,
		const mpl::int_< 53 > &
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), boost::math::ef::log(), and T.

template<class T >

T boost::math::detail::expint_1_rational	(	const T &	z,
		const mpl::int_< 64 > &
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), boost::math::ef::log(), and T.

template<class T >

T boost::math::detail::expint_1_rational	(	const T &	z,
		const mpl::int_< 113 > &
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), boost::math::ef::log(), and T.

template<class T , class Policy >

T boost::math::detail::expint_as_fraction ( unsigned  n, T  z, const Policy &  pol  )

inline

References BOOST_MATH_INSTRUMENT_VARIABLE, BOOST_MATH_STD_USING, boost::math::tools::continued_fraction_b(), boost::math::exp(), and T.

Referenced by expint_imp().

template<class T , class Policy >

T boost::math::detail::expint_as_series ( unsigned  n, T  z, const Policy &  pol  )

inline

References BOOST_MATH_INSTRUMENT_VARIABLE, BOOST_MATH_STD_USING, boost::math::digamma(), boost::math::ef::log(), boost::n, boost::math::pow(), boost::asio::s, boost::math::tools::sum_series(), and T.

Referenced by expint_imp().

template<class T , class Policy >

tools::promote_args<T>::type boost::math::detail::expint_forwarder ( T  z, const Policy &  , mpl::true_ const &    )

inline

References boost::math::policies::checked_narrowing_cast(), expint_i_imp(), boost::math::detail::expint_i_initializer< T, Policy, tag >::force_instantiate(), and boost::BOOST_SIGNALS_NAMESPACE::tag_type().

Referenced by boost::math::expint().

template<class T >

tools::promote_args<T>::type boost::math::detail::expint_forwarder ( unsigned  n, T  z, const mpl::false_ &    )

inline

References boost::math::expint().

template<class T >

void boost::math::detail::expint_i_113b	(	T &	result,
		const T &	z
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), T, and boost::flyweights::t.

Referenced by expint_i_imp().

template<class T >

void boost::math::detail::expint_i_113c	(	T &	result,
		const T &	z
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), T, and boost::flyweights::t.

Referenced by expint_i_imp().

template<class T >

void boost::math::detail::expint_i_113d	(	T &	result,
		const T &	z
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_INSTRUMENT_VARIABLE, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), T, and boost::flyweights::t.

Referenced by expint_i_imp().

template<class T >

void boost::math::detail::expint_i_113e	(	T &	result,
		const T &	z
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_INSTRUMENT_VARIABLE, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), T, and boost::flyweights::t.

Referenced by expint_i_imp().

template<class T >

void boost::math::detail::expint_i_113f	(	T &	result,
		const T &	z
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_INSTRUMENT_VARIABLE, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), T, and boost::flyweights::t.

Referenced by expint_i_imp().

template<class T >

void boost::math::detail::expint_i_113g	(	T &	result,
		const T &	z
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_INSTRUMENT_VARIABLE, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), T, and boost::flyweights::t.

Referenced by expint_i_imp().

template<class T >

void boost::math::detail::expint_i_113h	(	T &	result,
		const T &	z
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), T, and boost::flyweights::t.

Referenced by expint_i_imp().

template<class T , class Policy >

T boost::math::detail::expint_i_as_series	(	T	z,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::math::ef::log(), boost::asio::s, boost::math::tools::sum_series(), and T.

Referenced by expint_i_imp().

template<class T , class Policy , class Tag >

T boost::math::detail::expint_i_imp	(	T	z,
		const Policy &	pol,
		const Tag &	tag
	)

References expint_i_as_series(), expint_imp(), and T.

Referenced by expint_forwarder().

template<class T , class Policy >

T boost::math::detail::expint_i_imp	(	T	z,
		const Policy &	pol,
		const mpl::int_< 53 > &	tag
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), expint_imp(), boost::math::fabs(), boost::math::ef::log(), boost::math::log1p, T, and boost::flyweights::t.

template<class T , class Policy >

T boost::math::detail::expint_i_imp	(	T	z,
		const Policy &	pol,
		const mpl::int_< 64 > &	tag
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_INSTRUMENT_VARIABLE, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), expint_imp(), boost::math::fabs(), boost::math::ef::log(), boost::math::log1p, T, and boost::flyweights::t.

template<class T , class Policy >

T boost::math::detail::expint_i_imp	(	T	z,
		const Policy &	pol,
		const mpl::int_< 113 > &	tag
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), expint_i_113b(), expint_i_113c(), expint_i_113d(), expint_i_113e(), expint_i_113f(), expint_i_113g(), expint_i_113h(), expint_i_imp_113a(), expint_imp(), T, and boost::flyweights::t.

template<class T , class Policy >

void boost::math::detail::expint_i_imp_113a	(	T &	result,
		const T &	z,
		const Policy &	pol
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::fabs(), boost::math::ef::log(), boost::math::log1p, T, and boost::flyweights::t.

Referenced by expint_i_imp().

template<class T , class Policy , class Tag >

T boost::math::detail::expint_imp	(	unsigned	n,
		T	z,
		const Policy &	pol,
		const Tag &	tag
	)

References BOOST_MATH_STD_USING, boost::math::exp(), expint_1_rational(), expint_as_fraction(), expint_as_series(), T, and boost::program_options::value().

Referenced by boost::math::expint(), and expint_i_imp().

template<class T , class Policy >

T boost::math::detail::expm1_imp	(	T	x,
		const mpl::int_< 0 > &	,
		const Policy &	pol
	)

References boost::a, BOOST_MATH_STD_USING, boost::math::exp(), boost::math::fabs(), boost::asio::s, boost::math::tools::sum_series(), T, and boost::flyweights::x.

Referenced by boost::math::expm1().

template<class T , class P >

T boost::math::detail::expm1_imp	(	T	x,
		const mpl::int_< 53 > &	,
		const P &	pol
	)

References boost::a, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), boost::math::fabs(), boost::spirit::lex::lexertl::detail::L(), boost::n, T, and boost::flyweights::x.

template<class T , class P >

T boost::math::detail::expm1_imp	(	T	x,
		const mpl::int_< 64 > &	,
		const P &	pol
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), boost::math::fabs(), boost::spirit::lex::lexertl::detail::L(), T, and boost::flyweights::x.

template<class T , class P >

T boost::math::detail::expm1_imp	(	T	x,
		const mpl::int_< 113 > &	,
		const P &	pol
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), boost::math::fabs(), boost::spirit::lex::lexertl::detail::L(), T, and boost::flyweights::x.

template<class T , class Policy >

T boost::math::detail::falling_factorial_imp ( T  x, unsigned  n, const Policy &  pol  )

inline

References BOOST_MATH_STD_USING, boost::BOOST_STATIC_ASSERT(), boost::math::fabs(), boost::math::falling_factorial(), boost::chrono::floor(), boost::math::itrunc(), boost::math::rising_factorial(), boost::math::sign(), T, boost::math::tgamma_delta_ratio(), boost::program_options::value(), and boost::flyweights::x.

Referenced by boost::math::falling_factorial().

template<class RealType , class Policy >

RealType boost::math::detail::find_degrees_of_freedom ( RealType  lam, RealType  x, RealType  p, RealType  q, const Policy &  pol  )

inline

References boost::math::tools::bracket_and_solve_root().

Referenced by boost::math::non_central_chi_squared_distribution< T, Policy >::find_degrees_of_freedom(), and boost::math::concepts::DistributionConcept< Distribution >::test_extra_members().

template<class RealType , class Policy >

RealType boost::math::detail::find_non_centrality ( RealType  v, RealType  x, RealType  p, RealType  q, const Policy &  pol  )

inline

References boost::math::tools::bracket_and_solve_root().

Referenced by boost::math::non_central_chi_squared_distribution< T, Policy >::find_non_centrality(), and boost::math::concepts::DistributionConcept< Distribution >::test_extra_members().

template<class T , class Policy >

T boost::math::detail::finite_gamma_q ( T  a, T  x, Policy const &  pol, T *  pderivative = 0  )

inline

References boost::a, BOOST_MATH_STD_USING, boost::math::exp(), boost::math::itrunc(), boost::n, boost::math::pow(), boost::accumulators::extract::sum, T, and boost::flyweights::x.

Referenced by gamma_incomplete_imp().

template<class T , class Policy >

T boost::math::detail::finite_half_gamma_q	(	T	a,
		T	x,
		T *	p_derivative,
		const Policy &	pol
	)

References boost::a, BOOST_MATH_STD_USING, boost::math::erfc(), boost::math::exp(), boost::n, boost::geometry::math::sqrt(), boost::accumulators::extract::sum, T, and boost::flyweights::x.

Referenced by gamma_incomplete_imp().

template<class T , class Policy >

T boost::math::detail::float_advance_imp	(	T	val,
		int	distance,
		const Policy &	pol
	)

References boost::math::abs(), BOOST_MATH_STD_USING, boost::math::fabs(), boost::math::float_advance(), boost::math::float_distance(), boost::math::float_next(), boost::math::float_prior(), boost::math::fpclassify(), boost::math::ef::frexp(), boost::math::itrunc(), boost::math::ef::ldexp(), boost::math::sign(), T, and boost::phoenix::val().

Referenced by boost::math::float_advance().

template<class T , class Policy >

T boost::math::detail::float_distance_imp	(	const T &	a,
		const T &	b,
		const Policy &	pol
	)

References boost::a, boost::xpressive::a2, boost::asio::b, BOOST_ASSERT, BOOST_MATH_STD_USING, boost::math::fabs(), boost::math::float_distance(), boost::chrono::floor(), boost::math::fpclassify(), boost::math::ef::frexp(), boost::math::isfinite(), boost::math::ef::ldexp(), boost::accumulators::extract::min, boost::math::sign(), T, boost::flyweights::x, and boost::polygon::y().

Referenced by boost::math::float_distance().

template<class T , class Policy >

T boost::math::detail::float_next_imp	(	const T &	val,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::math::fabs(), boost::math::float_next(), boost::math::fpclassify(), boost::math::ef::frexp(), boost::math::ef::ldexp(), T, and boost::phoenix::val().

Referenced by boost::math::float_next().

template<class T , class Policy >

T boost::math::detail::float_prior_imp	(	const T &	val,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::math::fabs(), boost::math::float_prior(), boost::math::fpclassify(), boost::math::ef::frexp(), boost::math::ef::ldexp(), T, and boost::phoenix::val().

Referenced by boost::math::float_prior().

template<class T , class Policy >

T boost::math::detail::full_igamma_prefix	(	T	a,
		T	z,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::math::exp(), boost::math::fpclassify(), boost::math::ef::log(), boost::math::pow(), and T.

Referenced by beta_small_b_large_a_series(), and gamma_incomplete_imp().

template<class T , class Policy , class Lanczos >

T boost::math::detail::gamma_imp	(	T	z,
		const Policy &	pol,
		const Lanczos &	l
	)

References boost::asio::b, BOOST_MATH_INSTRUMENT_VARIABLE, BOOST_MATH_STD_USING, boost::math::exp(), boost::math::fabs(), boost::chrono::floor(), boost::math::fpclassify(), boost::math::itrunc(), boost::math::ef::log(), boost::iostreams::gzip::flags::name, boost::math::pow(), boost::math::sign(), sinpx(), and T.

Referenced by lgamma_imp(), regularised_gamma_prefix(), tgamma(), and tgammap1m1_imp().

template<class T , class Policy >

T boost::math::detail::gamma_imp	(	T	z,
		const Policy &	pol,
		const lanczos::undefined_lanczos &
	)

References boost::xpressive::a1, boost::xpressive::a2, boost::math::abs(), BOOST_MATH_INSTRUMENT_VARIABLE, BOOST_MATH_STD_USING, boost::math::exp(), boost::math::fabs(), boost::chrono::floor(), boost::math::fpclassify(), boost::math::itrunc(), lgamma_imp(), sinpx(), T, and boost::program_options::value().

template<class T , class Policy >

T boost::math::detail::gamma_incomplete_imp	(	T	a,
		T	x,
		bool	normalised,
		bool	invert,
		const Policy &	pol,
		T *	p_derivative
	)

References boost::a, BOOST_ASSERT, BOOST_MATH_STD_USING, boost::math::exp(), boost::math::fabs(), finite_gamma_q(), finite_half_gamma_q(), boost::chrono::floor(), full_igamma_prefix(), boost::iostreams::grep::invert, boost::math::lgamma(), boost::math::ef::log(), lower_gamma_series(), boost::math::pow(), regularised_gamma_prefix(), T, boost::BOOST_SIGNALS_NAMESPACE::tag_type(), boost::math::tgamma(), tgamma_small_upper_part(), upper_gamma_fraction(), and boost::flyweights::x.

Referenced by boost::math::gamma_p(), boost::math::gamma_q(), tgamma(), and boost::math::tgamma_lower().

template<class T , class Policy >

T boost::math::detail::gamma_p_derivative_imp	(	T	a,
		T	x,
		const Policy &	pol
	)

References boost::a, regularised_gamma_prefix(), T, and boost::flyweights::x.

Referenced by boost::math::gamma_p_derivative().

template<typename BuiltInUnsigned >

BuiltInUnsigned boost::math::detail::gcd_binary	(	BuiltInUnsigned	u,
		BuiltInUnsigned	v
	)

References boost::spirit::traits::which().

template<typename RingType >

RingType boost::math::detail::gcd_euclidean	(	RingType	a,
		RingType	b
	)

References boost::a, and boost::asio::b.

Referenced by gcd_integer(), lcm_euclidean(), and boost::math::detail::gcd_optimal_evaluator_helper_t< T, IsSpecialized, IsSigned >::operator()().

template<typename IntegerType >

IntegerType boost::math::detail::gcd_integer ( IntegerType const &  a, IntegerType const &  b  )

inline

References gcd_euclidean().

Referenced by boost::math::detail::gcd_optimal_evaluator_helper_t< T, true, true >::operator()().

template<typename T >

T boost::math::detail::gcd_optimal ( T const &  a, T const &  b  )

inline

Referenced by boost::math::gcd_evaluator< IntegerType >::operator()().

template<typename Dist >

Dist::value_type boost::math::detail::generic_quantile	(	const Dist &	dist,
		const typename Dist::value_type &	p,
		const typename Dist::value_type &	guess,
		bool	comp,
		const char *	function
	)

Referenced by nccs_quantile(), and non_central_t_quantile().

template<class T >

T boost::math::detail::get_min_shift_value ( )

inline

References BOOST_MATH_STD_USING, boost::math::detail::min_shift_initializer< T >::force_instantiate(), boost::math::ef::ldexp(), T, and boost::phoenix::val().

template<class T >

T boost::math::detail::get_smallest_value ( mpl::true_ const &  )

inline

References T.

template<class T >

T boost::math::detail::get_smallest_value ( mpl::false_ const &  )

inline

template<class T >

T boost::math::detail::get_smallest_value ( )

inline

template<class RealType >

RealType boost::math::detail::guess_ig ( RealType  p, RealType  mu = 1, RealType  lambda = 1  )

inline

References BOOST_MATH_STD_USING, boost::math::complement(), boost::math::exp(), boost::math::policies::ignore_error, boost::math::quantile(), boost::geometry::math::sqrt(), and boost::flyweights::x.

Referenced by boost::math::quantile().

template<class T , class Policy >

std::complex<T> boost::math::detail::hankel_imp	(	T	v,
		T	x,
		const bessel_no_int_tag &	,
		const Policy &	pol,
		int	sign
	)

References BOOST_MATH_STD_USING, boost::chrono::floor(), boost::math::iround(), boost::math::ef::log(), boost::math::pow(), boost::asio::s, T, boost::math::tan(), and boost::polygon::y().

Referenced by hankel_imp(), and sph_hankel_imp().

template<class T , class Policy >

std::complex< T > boost::math::detail::hankel_imp ( int  v, T  x, const bessel_int_tag &  , const Policy &  pol, int  sign  )

inline

References boost::geometry::math::abs(), BOOST_MATH_STD_USING, and hankel_imp().

template<class T , class Policy >

std::complex<T> boost::math::detail::hankel_imp ( T  v, T  x, const bessel_maybe_int_tag &  , const Policy &  pol, int  sign  )

inline

References BOOST_MATH_STD_USING, and hankel_imp().

template<class T >

T boost::math::detail::hermite_imp	(	unsigned	n,
		T	x
	)

References boost::multiprecision::backends::c, boost::math::hermite_next(), boost::swap, T, and boost::flyweights::x.

Referenced by boost::math::hermite().

template<class T >

std::size_t boost::math::detail::highest_bernoulli_index

(

)

template<class T , class Policy >

T boost::math::detail::hypergeometric_2F2	(	T	a1,
		T	a2,
		T	b1,
		T	b2,
		T	z,
		const Policy &	pol
	)

References boost::math::policies::checked_narrowing_cast(), boost::asio::s, boost::math::tools::sum_series(), and T.

Referenced by boost::math::variance().

template<class T , class Policy >

T boost::math::detail::hypot_imp	(	T	x,
		T	y,
		const Policy &	pol
	)

References boost::math::fabs(), boost::math::ef::fabs(), boost::geometry::math::sqrt(), boost::swap, T, boost::flyweights::x, and boost::polygon::y().

Referenced by boost::math::hypot().

template<class T , class Policy >

T boost::math::detail::ibeta_a_step	(	T	a,
		T	b,
		T	x,
		T	y,
		int	k,
		const Policy &	pol,
		bool	normalised,
		T *	p_derivative
	)

References boost::a, BOOST_ASSERT, BOOST_MATH_INSTRUMENT_VARIABLE, boost::multiprecision::backends::i, ibeta_power_terms(), boost::accumulators::extract::sum, and T.

Referenced by ibeta_imp().

template<class T , class Policy >

T boost::math::detail::ibeta_derivative_imp	(	T	a,
		T	b,
		T	x,
		const Policy &	pol
	)

References boost::a, boost::asio::b, boost::math::beta(), T, boost::flyweights::x, and boost::polygon::y().

Referenced by boost::math::ibeta_derivative().

template<class T , class Policy >

T boost::math::detail::ibeta_fraction2 ( T  a, T  b, T  x, T  y, const Policy &  pol, bool  normalised, T *  p_derivative  )

inline

References BOOST_ASSERT, BOOST_MATH_INSTRUMENT_VARIABLE, BOOST_MATH_STD_USING, boost::math::tools::continued_fraction_b(), ibeta_power_terms(), and T.

Referenced by ibeta_imp().

template<class T , class Policy >

T boost::math::detail::ibeta_imp	(	T	a,
		T	b,
		T	x,
		const Policy &	pol,
		bool	inv,
		bool	normalised,
		T *	p_derivative
	)

References boost::a, boost::math::asin(), boost::asio::b, boost::math::beta(), beta_small_b_large_a_series(), binomial_ccdf(), BOOST_ASSERT, BOOST_MATH_INSTRUMENT_VARIABLE, BOOST_MATH_STD_USING, boost::numeric::interval_lib::div(), boost::math::exp(), boost::math::expm1, boost::chrono::floor(), ibeta_a_step(), ibeta_fraction2(), ibeta_power_terms(), ibeta_series(), boost::iostreams::grep::invert, boost::math::itrunc(), boost::math::log1p, boost::accumulators::extract::max, boost::accumulators::extract::min, boost::n, boost::multiprecision::backends::p, boost::math::pow(), boost::math::powm1(), rising_factorial_ratio(), boost::geometry::math::sqrt(), boost::swap, T, boost::flyweights::x, and boost::polygon::y().

Referenced by boost::math::beta(), boost::math::betac(), boost::math::ibeta(), ibeta_imp(), boost::math::ibetac(), non_central_beta_p(), non_central_beta_q(), non_central_t2_p(), and non_central_t2_q().

template<class T , class Policy >

T boost::math::detail::ibeta_imp ( T  a, T  b, T  x, const Policy &  pol, bool  inv, bool  normalised  )

inline

References ibeta_imp().

template<class T , class Lanczos , class Policy >

T boost::math::detail::ibeta_power_terms	(	T	a,
		T	b,
		T	x,
		T	y,
		const Lanczos &	,
		bool	normalised,
		const Policy &	pol
	)

References boost::a, boost::asio::b, BOOST_MATH_INSTRUMENT_VARIABLE, BOOST_MATH_STD_USING, boost::multiprecision::backends::c, boost::math::exp(), boost::math::expm1, boost::math::fabs(), boost::math::l1(), boost::math::ef::log(), boost::math::log1p, boost::accumulators::extract::max, boost::accumulators::extract::min, boost::math::pow(), boost::geometry::math::sqrt(), and T.

Referenced by ibeta_a_step(), ibeta_fraction2(), and ibeta_imp().

template<class T , class Policy >

T boost::math::detail::ibeta_power_terms	(	T	a,
		T	b,
		T	x,
		T	y,
		const boost::math::lanczos::undefined_lanczos &	,
		bool	normalised,
		const Policy &	pol
	)

References boost::a, boost::asio::b, BOOST_MATH_STD_USING, boost::multiprecision::backends::c, boost::math::exp(), boost::math::fabs(), boost::math::ef::log(), boost::math::log1p, lower_gamma_series(), boost::math::pow(), T, and upper_gamma_fraction().

template<class T , class Lanczos , class Policy >

T boost::math::detail::ibeta_series	(	T	a,
		T	b,
		T	x,
		T	s0,
		const Lanczos &	,
		bool	normalised,
		T *	p_derivative,
		T	y,
		const Policy &	pol
	)

References boost::asio::b, BOOST_ASSERT, BOOST_MATH_STD_USING, boost::multiprecision::backends::c, boost::math::exp(), boost::math::log1p, boost::math::pow(), boost::asio::s, boost::xpressive::s0, boost::geometry::math::sqrt(), boost::math::tools::sum_series(), and T.

Referenced by ibeta_imp().

template<class T , class Policy >

T boost::math::detail::ibeta_series	(	T	a,
		T	b,
		T	x,
		T	s0,
		const boost::math::lanczos::undefined_lanczos &	,
		bool	normalised,
		T *	p_derivative,
		T	y,
		const Policy &	pol
	)

References boost::a, boost::asio::b, BOOST_ASSERT, BOOST_MATH_STD_USING, boost::multiprecision::backends::c, boost::math::exp(), boost::math::ef::log(), boost::math::log1p, lower_gamma_series(), boost::multiprecision::backends::p, boost::math::pow(), boost::asio::s, boost::xpressive::s0, boost::math::tools::sum_series(), T, and upper_gamma_fraction().

template<class T >

bool boost::math::detail::is_odd ( T  v, const boost::true_type &    )

inline

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

Referenced by is_odd(), and sinpx().

template<class T >

bool boost::math::detail::is_odd ( T  v, const boost::false_type &    )

inline

References BOOST_MATH_STD_USING, boost::chrono::floor(), and T.

template<class T >

bool boost::math::detail::is_odd ( T  v )

inline

References is_odd().

template<class T >

bool boost::math::detail::isfinite_impl ( T  x, generic_tag< true > const &    )

inline

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

Referenced by boost::math::isfinite(), and isfinite_impl().

template<class T >

bool boost::math::detail::isfinite_impl ( T  x, generic_tag< false > const &    )

inline

References isfinite_impl(), and boost::detail::void.

template<class T >

bool boost::math::detail::isfinite_impl ( T  x, ieee_tag const &    )

inline

References boost::a, BOOST_DEDUCED_TYPENAME, and boost::detail::type.

template<class T >

bool boost::math::detail::isinf_impl ( T  x, generic_tag< true > const &    )

inline

References boost::detail::void.

Referenced by boost::math::isinf(), and isinf_impl().

template<class T >

bool boost::math::detail::isinf_impl ( T  x, generic_tag< false > const &    )

inline

References isinf_impl(), and boost::detail::void.

template<class T >

bool boost::math::detail::isinf_impl ( T  x, ieee_copy_all_bits_tag const &    )

inline

References boost::a, BOOST_DEDUCED_TYPENAME, and boost::detail::type.

template<class T >

bool boost::math::detail::isinf_impl ( T  x, ieee_copy_leading_bits_tag const &    )

inline

References boost::a, BOOST_DEDUCED_TYPENAME, and boost::detail::type.

template<class T >

bool boost::math::detail::isnan_impl ( T  x, generic_tag< true > const &    )

inline

References boost::flyweights::x.

Referenced by boost::math::isnan(), and isnan_impl().

template<class T >

bool boost::math::detail::isnan_impl ( T  x, generic_tag< false > const &    )

inline

References isnan_impl(), and boost::detail::void.

template<class T >

bool boost::math::detail::isnan_impl ( T  x, ieee_copy_all_bits_tag const &    )

inline

References boost::a, BOOST_DEDUCED_TYPENAME, and boost::detail::type.

template<class T >

bool boost::math::detail::isnan_impl ( T  x, ieee_copy_leading_bits_tag const &    )

inline

References boost::a, BOOST_DEDUCED_TYPENAME, and boost::detail::type.

template<class T >

bool boost::math::detail::isnormal_impl ( T  x, generic_tag< true > const &    )

inline

References boost::accumulators::extract::max, boost::accumulators::extract::min, and boost::flyweights::x.

Referenced by boost::math::isnormal(), and isnormal_impl().

template<class T >

bool boost::math::detail::isnormal_impl ( T  x, generic_tag< false > const &    )

inline

References isnormal_impl().

template<class T >

bool boost::math::detail::isnormal_impl ( T  x, ieee_tag const &    )

inline

References boost::a, BOOST_DEDUCED_TYPENAME, and boost::detail::type.

template<class T , class Policy >

T boost::math::detail::jacobi_imp	(	const T &	x,
		const T &	k,
		T *	cn,
		T *	dn,
		const Policy &	pol,
		const char *	function
	)

References BOOST_MATH_STD_USING, boost::math::cos(), boost::math::cosh(), jacobi_recurse(), boost::math::sin(), boost::geometry::math::sqrt(), T, and boost::math::tanh().

template<class T , class Policy >

T boost::math::detail::jacobi_recurse	(	const T &	x,
		const T &	k,
		T	anm1,
		T	bnm1,
		unsigned	N,
		T *	pTn,
		const Policy &	pol
	)

References boost::math::asin(), BOOST_MATH_STD_USING, boost::math::ef::ldexp(), N, boost::math::sin(), boost::geometry::math::sqrt(), T, and boost::flyweights::x.

Referenced by jacobi_imp().

template<class T , class Policy >

T boost::math::detail::kurtosis_excess	(	T	v,
		T	delta,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::polygon::delta(), boost::math::isinf(), mean(), T, and phoenix::var().

Referenced by boost::math::kurtosis(), and boost::math::kurtosis_excess().

template<class T , class Policy >

tools::promote_args<T>::type boost::math::detail::laguerre ( unsigned  n, T  x, const Policy &  , const mpl::true_ &    )

inline

References boost::math::policies::checked_narrowing_cast(), and laguerre_imp().

Referenced by boost::math::laguerre().

template<class T >

tools::promote_args<T>::type boost::math::detail::laguerre ( unsigned  n, unsigned  m, T  x, const mpl::false_ &    )

inline

References boost::math::laguerre().

template<class T >

T boost::math::detail::laguerre_imp	(	unsigned	n,
		T	x
	)

References boost::multiprecision::backends::c, boost::math::laguerre_next(), boost::swap, T, and boost::flyweights::x.

Referenced by laguerre(), and boost::math::laguerre().

template<class T , class Policy >

T boost::math::detail::laguerre_imp	(	unsigned	n,
		unsigned	m,
		T	x,
		const Policy &	pol
	)

References boost::multiprecision::backends::c, boost::math::laguerre(), boost::math::laguerre_next(), boost::swap, T, and boost::flyweights::x.

template<typename RingType >

RingType boost::math::detail::lcm_euclidean ( RingType const &  a, RingType const &  b  )

inline

References boost::asio::b, and gcd_euclidean().

Referenced by lcm_integer(), and boost::math::detail::lcm_optimal_evaluator_helper_t< T, IsSpecialized, IsSigned >::operator()().

template<typename IntegerType >

IntegerType boost::math::detail::lcm_integer ( IntegerType const &  a, IntegerType const &  b  )

inline

References lcm_euclidean().

Referenced by boost::math::detail::lcm_optimal_evaluator_helper_t< T, true, true >::operator()().

template<typename T >

T boost::math::detail::lcm_optimal ( T const &  a, T const &  b  )

inline

Referenced by boost::math::lcm_evaluator< IntegerType >::operator()().

template<class T , class Policy >

T boost::math::detail::legendre_imp	(	unsigned	l,
		T	x,
		const Policy &	pol,
		bool	second = false
	)

References boost::math::legendre_next(), boost::math::log1p, boost::n, boost::locale::period::marks::second, boost::swap, T, and boost::flyweights::x.

Referenced by boost::math::legendre_p(), and boost::math::legendre_q().

template<class T , class Policy >

T boost::math::detail::legendre_p_imp	(	int	l,
		int	m,
		T	x,
		T	sin_theta_power,
		const Policy &	pol
	)

References boost::math::legendre_next(), boost::math::legendre_p(), boost::n, boost::math::sign(), boost::swap, T, boost::math::tgamma_ratio(), and boost::flyweights::x.

Referenced by boost::math::legendre_p(), legendre_p_imp(), and spherical_harmonic_prefix().

template<class T , class Policy >

T boost::math::detail::legendre_p_imp ( int  l, int  m, T  x, const Policy &  pol  )

inline

References boost::math::abs(), BOOST_MATH_STD_USING, legendre_p_imp(), boost::math::pow(), and T.

template<class T , class Policy , class Lanczos >

T boost::math::detail::lgamma_imp	(	T	z,
		const Policy &	pol,
		const Lanczos &	l,
		int *	sign = 0
	)

References boost::foreach_detail_::and_(), boost::asio::b, BOOST_MATH_STD_USING, boost::math::fabs(), boost::chrono::floor(), gamma_imp(), boost::math::ef::log(), boost::iostreams::gzip::flags::name, boost::math::sign(), sinpx(), T, boost::flyweights::t, and boost::BOOST_SIGNALS_NAMESPACE::tag_type().

Referenced by gamma_imp(), boost::math::lgamma(), and regularised_gamma_prefix().

template<class T , class Policy >

T boost::math::detail::lgamma_imp	(	T	z,
		const Policy &	pol,
		const lanczos::undefined_lanczos &	,
		int *	sign = 0
	)

References boost::math::abs(), BOOST_MATH_STD_USING, boost::E, boost::chrono::floor(), gamma_imp(), boost::math::itrunc(), boost::math::ef::log(), boost::n, sinpx(), boost::accumulators::extract::sum, T, boost::flyweights::t, and boost::program_options::value().

template<class T , class Policy >

T boost::math::detail::log1p_imp	(	T const &	x,
		const Policy &	pol,
		const mpl::int_< 0 > &
	)

References boost::a, boost::math::abs(), BOOST_MATH_STD_USING, boost::math::ef::log(), boost::asio::s, boost::math::tools::sum_series(), and boost::flyweights::x.

Referenced by boost::math::log1p().

template<class T , class Policy >

T boost::math::detail::log1p_imp	(	T const &	x,
		const Policy &	pol,
		const mpl::int_< 53 > &
	)

References boost::a, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::fabs(), boost::spirit::lex::lexertl::detail::L(), boost::math::ef::log(), T, and boost::flyweights::x.

template<class T , class Policy >

T boost::math::detail::log1p_imp	(	T const &	x,
		const Policy &	pol,
		const mpl::int_< 64 > &
	)

References boost::a, BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::fabs(), boost::math::ef::log(), T, and boost::flyweights::x.

template<class T , class Policy >

T boost::math::detail::log1p_imp	(	T const &	x,
		const Policy &	pol,
		const mpl::int_< 24 > &
	)

References boost::a, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::fabs(), boost::spirit::lex::lexertl::detail::L(), boost::math::ef::log(), T, and boost::flyweights::x.

template<class T , class Policy >

T boost::math::detail::lower_gamma_series ( T  a, T  z, const Policy &  pol, T  init_value = 0  )

inline

References boost::asio::s, boost::math::tools::sum_series(), and T.

Referenced by beta_imp(), erf_imp(), gamma_incomplete_imp(), ibeta_power_terms(), ibeta_series(), regularised_gamma_prefix(), and tgamma_delta_ratio_imp_lanczos().

template<class T , class Policy >

T boost::math::detail::mean	(	T	v,
		T	delta,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::polygon::delta(), boost::math::isinf(), boost::geometry::math::sqrt(), T, and boost::math::tgamma_delta_ratio().

Referenced by kurtosis_excess(), boost::math::mean(), boost::math::mode(), nc_beta_quantile(), non_central_t_quantile(), skewness(), and variance().

template<class T >

T boost::math::detail::minimum_argument_for_bernoulli_recursion

(

)

References T.

template<class RealType , class Policy >

RealType boost::math::detail::mode_fallback ( const skew_normal_distribution< RealType, Policy > &  dist )

inline

References BOOST_ASSERT, BOOST_MATH_STD_USING, check_skew_normal_shape(), boost::fusion::distance(), boost::math::constants::e(), boost::math::location(), boost::numeric::ublas::detail::lower_bound(), boost::math::scale(), and boost::math::shape().

template<class T >

std::complex<T> boost::math::detail::mult_i ( const std::complex< T > &  t )

inline

References mult_minus_one().

Referenced by boost::math::acosh(), boost::math::asinh(), and boost::math::atan().

template<class T >

std::complex<T> boost::math::detail::mult_minus_i ( const std::complex< T > &  t )

inline

References mult_minus_one().

Referenced by boost::math::acosh(), boost::math::asinh(), and boost::math::atan().

template<class T >

T boost::math::detail::mult_minus_one ( const T &  t )

inline

References boost::math::changesign(), boost::math::isnan(), and boost::flyweights::t.

Referenced by mult_i(), and mult_minus_i().

template<class RealType , class Policy >

RealType boost::math::detail::nc_beta_pdf	(	const non_central_beta_distribution< RealType, Policy > &	dist,
		const RealType &	x
	)

References boost::a, boost::math::non_central_beta_distribution< RealType, Policy >::alpha(), boost::asio::b, boost::math::non_central_beta_distribution< RealType, Policy >::beta(), BOOST_MATH_STD_USING, boost::math::beta_detail::check_alpha(), boost::math::beta_detail::check_beta(), boost::math::beta_detail::check_x(), boost::math::policies::checked_narrowing_cast(), non_central_beta_pdf(), boost::math::non_central_beta_distribution< RealType, Policy >::non_centrality(), and boost::math::pdf().

Referenced by boost::math::pdf().

template<class RealType , class Policy >

RealType boost::math::detail::nc_beta_quantile	(	const non_central_beta_distribution< RealType, Policy > &	dist,
		const RealType &	p,
		bool	comp
	)

References boost::a, boost::math::non_central_beta_distribution< RealType, Policy >::alpha(), boost::asio::b, boost::math::non_central_beta_distribution< RealType, Policy >::beta(), bracket_and_solve_root_01(), boost::multiprecision::backends::c, boost::math::beta_detail::check_alpha(), boost::math::beta_detail::check_beta(), boost::math::policies::checked_narrowing_cast(), mean(), and boost::math::non_central_beta_distribution< RealType, Policy >::non_centrality().

Referenced by boost::math::quantile().

template<class RealType , class Policy >

RealType boost::math::detail::nccs_pdf	(	const non_central_chi_squared_distribution< RealType, Policy > &	dist,
		const RealType &	x
	)

References BOOST_MATH_STD_USING, boost::math::policies::checked_narrowing_cast(), boost::math::cyl_bessel_i(), boost::math::non_central_chi_squared_distribution< RealType, Policy >::degrees_of_freedom(), boost::math::exp(), boost::math::fabs(), boost::math::ef::log(), non_central_chi_square_pdf(), boost::math::non_central_chi_squared_distribution< RealType, Policy >::non_centrality(), boost::math::pdf(), and boost::geometry::math::sqrt().

Referenced by boost::math::pdf().

template<class RealType , class Policy >

RealType boost::math::detail::nccs_quantile	(	const non_central_chi_squared_distribution< RealType, Policy > &	dist,
		const RealType &	p,
		bool	comp
	)

References boost::asio::b, BOOST_MATH_STD_USING, boost::multiprecision::backends::c, boost::math::policies::checked_narrowing_cast(), boost::math::complement(), boost::math::non_central_chi_squared_distribution< RealType, Policy >::degrees_of_freedom(), boost::math::exp(), generic_quantile(), boost::math::non_central_chi_squared_distribution< RealType, Policy >::non_centrality(), boost::multiprecision::backends::p, boost::math::pow(), boost::math::quantile(), and boost::math::tgamma().

Referenced by boost::math::quantile().

template<class RealType , class Policy >

RealType boost::math::detail::non_central_beta_cdf ( RealType  x, RealType  y, RealType  a, RealType  b, RealType  l, bool  invert, const Policy &    )

inline

References BOOST_MATH_STD_USING, boost::multiprecision::backends::c, boost::math::cdf(), boost::math::policies::checked_narrowing_cast(), boost::iostreams::grep::invert, non_central_beta_p(), and non_central_beta_q().

Referenced by boost::math::cdf().

template<class T , class Policy >

T boost::math::detail::non_central_beta_p	(	T	a,
		T	b,
		T	lam,
		T	x,
		T	y,
		const Policy &	pol,
		T	init_val = 0
	)

References beta(), betaf, BOOST_MATH_STD_USING, count, boost::math::fabs(), boost::math::gamma_p_derivative(), boost::multiprecision::backends::i, ibeta_imp(), boost::math::itrunc(), boost::math::policies::raise_evaluation_error(), boost::accumulators::extract::sum, and T.

Referenced by non_central_beta_cdf(), and non_central_t_cdf().

template<class T , class Policy >

T boost::math::detail::non_central_beta_pdf	(	T	a,
		T	b,
		T	lam,
		T	x,
		T	y,
		const Policy &	pol
	)

References beta(), betaf, BOOST_MATH_STD_USING, count, boost::math::fabs(), boost::math::gamma_p_derivative(), boost::multiprecision::backends::i, boost::math::ibeta_derivative(), boost::math::itrunc(), boost::math::policies::raise_evaluation_error(), boost::accumulators::extract::sum, and T.

Referenced by nc_beta_pdf(), and non_central_t_pdf().

template<class T , class Policy >

T boost::math::detail::non_central_beta_q	(	T	a,
		T	b,
		T	lam,
		T	x,
		T	y,
		const Policy &	pol,
		T	init_val = 0
	)

References beta(), betaf, BOOST_MATH_STD_USING, count, boost::math::exp(), boost::math::fabs(), boost::math::gamma_p_derivative(), boost::multiprecision::backends::i, ibeta_imp(), boost::math::itrunc(), boost::math::policies::raise_evaluation_error(), boost::accumulators::extract::sum, and T.

Referenced by non_central_beta_cdf(), and non_central_t_cdf().

template<class T , class Policy >

T boost::math::detail::non_central_chi_square_p	(	T	y,
		T	n,
		T	lambda,
		const Policy &	pol,
		T	init_sum
	)

References boost::a, BOOST_MATH_STD_USING, boost::python::api::del(), boost::math::fabs(), boost::math::gamma_p(), boost::math::gamma_p_derivative(), boost::multiprecision::backends::i, boost::math::iround(), boost::math::policies::raise_evaluation_error(), boost::accumulators::extract::sum, T, and boost::flyweights::x.

Referenced by non_central_chi_squared_cdf().

template<class T , class Policy >

T boost::math::detail::non_central_chi_square_p_ding	(	T	x,
		T	f,
		T	theta,
		const Policy &	pol,
		T	init_sum = 0
	)

References BOOST_MATH_STD_USING, boost::math::exp(), boost::math::fabs(), boost::math::gamma_p_derivative(), boost::multiprecision::backends::i, boost::math::policies::raise_evaluation_error(), boost::accumulators::extract::sum, and T.

Referenced by non_central_chi_squared_cdf().

template<class T , class Policy >

T boost::math::detail::non_central_chi_square_pdf	(	T	x,
		T	n,
		T	lambda,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::math::gamma_p_derivative(), boost::multiprecision::backends::i, boost::math::itrunc(), boost::math::policies::raise_evaluation_error(), boost::accumulators::extract::sum, and T.

Referenced by nccs_pdf().

template<class T , class Policy >

T boost::math::detail::non_central_chi_square_q	(	T	x,
		T	f,
		T	theta,
		const Policy &	pol,
		T	init_sum = 0
	)

References BOOST_MATH_STD_USING, boost::python::api::del(), boost::math::fabs(), boost::math::gamma_p_derivative(), boost::math::gamma_q(), boost::multiprecision::backends::i, boost::math::iround(), boost::math::policies::raise_evaluation_error(), boost::accumulators::extract::sum, T, and boost::polygon::y().

Referenced by non_central_chi_squared_cdf().

template<class RealType , class Policy >

RealType boost::math::detail::non_central_chi_squared_cdf ( RealType  x, RealType  k, RealType  l, bool  invert, const Policy &    )

inline

References BOOST_MATH_STD_USING, boost::math::cdf(), boost::math::policies::checked_narrowing_cast(), boost::iostreams::grep::invert, non_central_chi_square_p(), non_central_chi_square_p_ding(), and non_central_chi_square_q().

Referenced by boost::math::cdf().

template<class T , class Policy >

T boost::math::detail::non_central_t2_p	(	T	v,
		T	delta,
		T	x,
		T	y,
		const Policy &	pol,
		T	init_val
	)

References beta(), betaf, BOOST_MATH_STD_USING, count, boost::math::fabs(), boost::math::gamma_p_derivative(), boost::multiprecision::backends::i, ibeta_imp(), boost::math::itrunc(), boost::math::policies::raise_evaluation_error(), boost::accumulators::extract::sum, T, and boost::math::tgamma_delta_ratio().

Referenced by non_central_t_cdf().

template<class T , class Policy >

T boost::math::detail::non_central_t2_pdf	(	T	n,
		T	delta,
		T	x,
		T	y,
		const Policy &	pol,
		T	init_val
	)

References BOOST_MATH_STD_USING, count, boost::math::fabs(), boost::math::gamma_p_derivative(), boost::multiprecision::backends::i, boost::math::ibeta_derivative(), boost::math::itrunc(), boost::math::policies::raise_evaluation_error(), boost::accumulators::extract::sum, T, and boost::math::tgamma_delta_ratio().

Referenced by non_central_t_pdf().

template<class T , class Policy >

T boost::math::detail::non_central_t2_q	(	T	v,
		T	delta,
		T	x,
		T	y,
		const Policy &	pol,
		T	init_val
	)

References beta(), betaf, BOOST_MATH_STD_USING, count, boost::math::exp(), boost::math::fabs(), boost::math::gamma_p_derivative(), boost::multiprecision::backends::i, ibeta_imp(), boost::math::itrunc(), boost::math::ef::log(), boost::math::pow(), boost::math::policies::raise_evaluation_error(), boost::accumulators::extract::sum, T, boost::math::tgamma(), and boost::math::tgamma_delta_ratio().

Referenced by non_central_t_cdf().

template<class T , class Policy >

T boost::math::detail::non_central_t_cdf	(	T	v,
		T	delta,
		T	t,
		bool	invert,
		const Policy &	pol
	)

References boost::a, boost::asio::b, BOOST_MATH_STD_USING, boost::multiprecision::backends::c, boost::math::cdf(), boost::math::complement(), boost::polygon::delta(), boost::math::fabs(), boost::iostreams::grep::invert, boost::math::isinf(), boost::n, non_central_beta_p(), non_central_beta_q(), non_central_t2_p(), non_central_t2_q(), T, boost::flyweights::t, boost::flyweights::x, and boost::polygon::y().

Referenced by boost::math::cdf(), and non_central_t_quantile().

template<class T , class Policy >

T boost::math::detail::non_central_t_pdf	(	T	n,
		T	delta,
		T	t,
		const Policy &	pol
	)

References boost::a, boost::asio::b, BOOST_MATH_STD_USING, boost::polygon::delta(), boost::math::exp(), boost::math::fabs(), boost::math::isinf(), non_central_beta_pdf(), non_central_t2_pdf(), boost::math::norm(), boost::math::pdf(), boost::geometry::math::sqrt(), T, boost::flyweights::t, boost::math::tgamma_delta_ratio(), boost::flyweights::x, and boost::polygon::y().

Referenced by boost::math::pdf().

template<class T , class Policy >

T boost::math::detail::non_central_t_quantile	(	const char *	function,
		T	v,
		T	delta,
		T	p,
		T	q,
		const Policy &
	)

References BOOST_MATH_STD_USING, boost::math::policies::checked_narrowing_cast(), boost::math::complement(), generic_quantile(), boost::math::isinf(), mean(), boost::n, non_central_t_cdf(), boost::math::quantile(), boost::asio::s, boost::math::sign(), boost::geometry::math::sqrt(), T, boost::math::tgamma_delta_ratio(), and phoenix::var().

Referenced by boost::math::quantile().

template<typename T , typename U >

octonion< T > boost::math::detail::octonion_type_converter

(

octonion< U > const &

rhs

)

References boost::math::octonion< T >::R_component_1(), boost::math::octonion< T >::R_component_2(), boost::math::octonion< T >::R_component_3(), boost::math::octonion< T >::R_component_4(), boost::math::octonion< T >::R_component_5(), boost::math::octonion< T >::R_component_6(), boost::math::octonion< T >::R_component_7(), and boost::math::octonion< T >::R_component_8().

template<typename RealType , class Policy >

RealType boost::math::detail::owens_t ( RealType  h, RealType  a, const Policy &  pol  )

inline

References BOOST_MATH_STD_USING, boost::math::fabs(), owens_t_dispatch(), owens_t_znorm1(), owens_t_znorm2(), and boost::phoenix::val().

Referenced by boost::math::owens_t().

template<typename RealType >

unsigned short boost::math::detail::owens_t_compute_code ( const RealType  h, const RealType  a  )

inline

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

Referenced by owens_t_dispatch().

template<typename RealType , typename Policy >

RealType boost::math::detail::owens_t_dispatch ( const RealType  h, const RealType  a, const RealType  ah, const Policy &  pol, mpl::int_< 64 > const &    )

inline

References boost::math::atan(), BOOST_MATH_STD_USING, BOOST_THROW_EXCEPTION, boost::math::fabs(), owens_t_compute_code(), owens_t_get_order(), owens_t_T1(), owens_t_T2(), owens_t_T3(), owens_t_T4(), owens_t_T5(), owens_t_T6(), owens_t_znorm2(), boost::BOOST_SIGNALS_NAMESPACE::tag_type(), and boost::phoenix::val().

Referenced by owens_t(), and owens_t_dispatch().

template<typename RealType , typename Policy >

RealType boost::math::detail::owens_t_dispatch ( const RealType  h, const RealType  a, const RealType  ah, const Policy &  pol, const mpl::int_< 65 > &    )

inline

References boost::math::atan(), BOOST_MATH_STD_USING, boost::math::constants::e(), boost::math::fabs(), boost::accumulators::extract::min, owens_t_dispatch(), owens_t_T1_accelerated(), owens_t_T2_accelerated(), owens_t_znorm2(), and T4_mp().

template<typename RealType , typename Policy >

RealType boost::math::detail::owens_t_dispatch ( const RealType  h, const RealType  a, const RealType  ah, const Policy &  pol, const mpl::int_< 0 > &    )

inline

References owens_t_dispatch().

template<typename RealType , typename Policy >

RealType boost::math::detail::owens_t_dispatch ( const RealType  h, const RealType  a, const RealType  ah, const Policy &  pol  )

inline

References owens_t_dispatch(), boost::BOOST_SIGNALS_NAMESPACE::tag_type(), and boost::program_options::value().

template<typename RealType , typename Policy >

unsigned short boost::math::detail::owens_t_get_order ( const unsigned short  icode, RealType  r, const Policy &    )

inline

References boost::foreach_detail_::or_(), owens_t_get_order_imp(), and boost::BOOST_SIGNALS_NAMESPACE::tag_type().

Referenced by owens_t_dispatch().

template<typename RealType >

unsigned short boost::math::detail::owens_t_get_order_imp ( const unsigned short  icode, RealType  , const mpl::int_< 53 > &    )

inline

References BOOST_ASSERT.

Referenced by owens_t_get_order().

template<typename RealType >

unsigned short boost::math::detail::owens_t_get_order_imp ( const unsigned short  icode, RealType  , const mpl::int_< 64 > &    )

inline

References BOOST_ASSERT.

template<typename RealType , typename Policy >

RealType boost::math::detail::owens_t_T1 ( const RealType  h, const RealType  a, const unsigned short  m, const Policy &  pol  )

inline

References boost::a, boost::spirit::traits::as(), boost::math::atan(), BOOST_MATH_STD_USING, boost::math::exp(), boost::math::expm1, and boost::phoenix::val().

Referenced by owens_t_dispatch().

template<class T , class Policy >

std::pair<T, T> boost::math::detail::owens_t_T1_accelerated	(	T	h,
		T	a,
		const Policy &	pol
	)

References boost::a, boost::asio::b, BOOST_MATH_STD_USING, boost::multiprecision::backends::c, boost::math::exp(), boost::math::fabs(), boost::math::itrunc(), boost::math::ef::ldexp(), boost::accumulators::extract::max, boost::accumulators::extract::min, boost::n, boost::math::pow(), boost::math::policies::raise_evaluation_error(), boost::geometry::math::sqrt(), boost::accumulators::extract::sum, and T.

Referenced by owens_t_dispatch().

template<typename RealType , class Policy >

RealType boost::math::detail::owens_t_T2 ( const RealType  h, const RealType  a, const unsigned short  m, const RealType  ah, const Policy &  , const mpl::false_ &    )

inline

References boost::a, boost::spirit::traits::as(), BOOST_MATH_STD_USING, boost::math::exp(), owens_t_znorm1(), boost::phoenix::val(), and boost::polygon::y().

Referenced by owens_t_dispatch().

template<typename RealType , class Policy >

RealType boost::math::detail::owens_t_T2 ( const RealType  h, const RealType  a, const unsigned short  m, const RealType  ah, const Policy &  , const mpl::true_ &    )

inline

References boost::a, boost::spirit::traits::as(), BOOST_MATH_STD_USING, boost::math::exp(), boost::math::fabs(), owens_t_znorm1(), boost::phoenix::val(), and boost::polygon::y().

template<typename RealType , class Policy >

std::pair<RealType, RealType> boost::math::detail::owens_t_T2_accelerated ( const RealType  h, const RealType  a, const RealType  ah, const Policy &    )

inline

References boost::a, boost::spirit::traits::as(), boost::asio::b, BOOST_MATH_STD_USING, boost::multiprecision::backends::c, boost::math::exp(), boost::math::fabs(), boost::math::itrunc(), boost::accumulators::extract::max, boost::accumulators::extract::min, boost::n, owens_t_znorm1(), boost::math::pow(), boost::asio::s, boost::geometry::math::sqrt(), boost::phoenix::val(), and boost::polygon::y().

Referenced by owens_t_dispatch().

template<class RealType , class Policy >

RealType boost::math::detail::owens_t_T3 ( const RealType  h, const RealType  a, const RealType  ah, const Policy &    )

inline

References boost::foreach_detail_::or_(), owens_t_T3_imp(), and boost::BOOST_SIGNALS_NAMESPACE::tag_type().

Referenced by owens_t_dispatch().

template<typename RealType >

RealType boost::math::detail::owens_t_T3_imp ( const RealType  h, const RealType  a, const RealType  ah, const mpl::int_< 53 > &    )

inline

References boost::a, boost::spirit::traits::as(), BOOST_ASSERT, BOOST_MATH_STD_USING, boost::math::exp(), boost::multiprecision::backends::i, owens_t_znorm1(), boost::phoenix::val(), and boost::polygon::y().

Referenced by owens_t_T3().

template<class RealType >

RealType boost::math::detail::owens_t_T3_imp ( const RealType  h, const RealType  a, const RealType  ah, const mpl::int_< 64 > &    )

inline

References boost::a, boost::spirit::traits::as(), BOOST_ASSERT, BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::constants::e(), boost::math::exp(), boost::multiprecision::backends::i, owens_t_znorm1(), boost::phoenix::val(), and boost::polygon::y().

template<typename RealType >

RealType boost::math::detail::owens_t_T4 ( const RealType  h, const RealType  a, const unsigned short  m  )

inline

References boost::a, boost::spirit::traits::as(), BOOST_MATH_STD_USING, boost::math::exp(), boost::phoenix::val(), and boost::spirit::x3::unicode::yi.

Referenced by owens_t_dispatch().

template<class RealType , class Policy >

RealType boost::math::detail::owens_t_T5 ( const RealType  h, const RealType  a, const Policy &    )

inline

References boost::foreach_detail_::or_(), owens_t_T5_imp(), and boost::BOOST_SIGNALS_NAMESPACE::tag_type().

Referenced by owens_t_dispatch().

template<typename RealType >

RealType boost::math::detail::owens_t_T5_imp ( const RealType  h, const RealType  a, const mpl::int_< 53 > &    )

inline

References boost::a, boost::spirit::traits::as(), BOOST_ASSERT, BOOST_MATH_STD_USING, boost::math::exp(), boost::multiprecision::backends::i, and boost::phoenix::val().

Referenced by owens_t_T5().

template<typename RealType >

RealType boost::math::detail::owens_t_T5_imp ( const RealType  h, const RealType  a, const mpl::int_< 64 > &    )

inline

References boost::a, boost::spirit::traits::as(), BOOST_ASSERT, BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::exp(), boost::multiprecision::backends::i, and boost::phoenix::val().

template<typename RealType >

RealType boost::math::detail::owens_t_T6 ( const RealType  h, const RealType  a  )

inline

References boost::math::ef::atan2(), BOOST_MATH_STD_USING, boost::math::exp(), owens_t_znorm2(), boost::phoenix::val(), and boost::polygon::y().

Referenced by owens_t_dispatch().

template<typename RealType >

RealType boost::math::detail::owens_t_znorm1 ( const RealType  x )

inline

References boost::math::erf().

Referenced by owens_t(), owens_t_T2(), owens_t_T2_accelerated(), and owens_t_T3_imp().

template<typename RealType >

RealType boost::math::detail::owens_t_znorm2 ( const RealType  x )

inline

References boost::math::erfc().

Referenced by owens_t(), owens_t_dispatch(), and owens_t_T6().

template<class T >

std::pair<T, T> boost::math::detail::pair_from_single

(

const T &

val

)

References boost::xpressive::make_pair.

Referenced by boost::math::tools::bisect(), boost::math::tools::bracket_and_solve_root(), and boost::math::tools::toms748_solve().

template<class T , class Policy >

T boost::math::detail::powm1_imp ( const T  a, const T  z, const Policy &  pol  )

inline

References BOOST_MATH_STD_USING, boost::math::expm1, boost::math::fabs(), boost::math::ef::log(), boost::multiprecision::backends::p, boost::math::pow(), and T.

Referenced by boost::math::powm1().

template<class RealType , class Policy >

RealType boost::math::detail::quantile_imp	(	const cauchy_distribution< RealType, Policy > &	dist,
		const RealType &	p,
		bool	complement
	)

References BOOST_MATH_STD_USING, boost::chrono::floor(), boost::math::cauchy_distribution< RealType, Policy >::location(), boost::math::location(), boost::math::cauchy_distribution< RealType, Policy >::scale(), boost::math::scale(), and boost::math::tan().

Referenced by boost::math::quantile().

template<typename T , typename U >

quaternion< T > boost::math::detail::quaternion_type_converter

(

quaternion< U > const &

rhs

)

References boost::math::quaternion< T >::R_component_1(), boost::math::quaternion< T >::R_component_2(), boost::math::quaternion< T >::R_component_3(), and boost::math::quaternion< T >::R_component_4().

template<class T , class Policy , class Lanczos >

T boost::math::detail::regularised_gamma_prefix	(	T	a,
		T	z,
		const Policy &	pol,
		const Lanczos &	l
	)

References boost::a, BOOST_MATH_STD_USING, boost::math::exp(), boost::math::fabs(), gamma_imp(), lgamma_imp(), boost::math::ef::log(), boost::math::log1pmx, boost::accumulators::extract::max, boost::accumulators::extract::min, boost::math::pow(), boost::geometry::math::sqrt(), and T.

Referenced by beta_small_b_large_a_series(), gamma_incomplete_imp(), and gamma_p_derivative_imp().

template<class T , class Policy >

T boost::math::detail::regularised_gamma_prefix	(	T	a,
		T	z,
		const Policy &	pol,
		const lanczos::undefined_lanczos &
	)

References boost::a, BOOST_MATH_STD_USING, boost::math::exp(), boost::math::ef::log(), lower_gamma_series(), boost::accumulators::extract::max, boost::accumulators::extract::min, boost::math::pow(), boost::accumulators::extract::sum, T, and upper_gamma_fraction().

template<class T , class Policy >

T boost::math::detail::rising_factorial_imp	(	T	x,
		int	n,
		const Policy &	pol
	)

References boost::BOOST_STATIC_ASSERT(), boost::math::falling_factorial(), boost::n, T, boost::math::tgamma_delta_ratio(), boost::phoenix::val(), and boost::program_options::value().

Referenced by boost::math::rising_factorial().

template<class T >

T boost::math::detail::rising_factorial_ratio ( T  a, T  b, int  k  )

inline

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

Referenced by ibeta_imp().

template<class T , class Policy >

tools::promote_args<T>::type boost::math::detail::round ( const T &  v, const Policy &  pol, const mpl::false_    )

inline

References BOOST_MATH_STD_USING, boost::multiprecision::backends::c, boost::chrono::ceil(), boost::chrono::floor(), boost::math::isfinite(), and boost::math::policies::raise_rounding_error().

Referenced by boost::math::round().

template<class T , class Policy >

tools::promote_args<T>::type boost::math::detail::round ( const T &  v, const Policy &  , const mpl::true_    )

inline

template<class T >

T boost::math::detail::safe_max ( T  t )

inline

References boost::accumulators::extract::max, boost::geometry::math::sqrt(), and boost::flyweights::t.

Referenced by boost::math::acos(), boost::math::asin(), and boost::math::atanh().

long double boost::math::detail::safe_max ( long double  t )

inline

References boost::accumulators::extract::max, boost::geometry::math::sqrt(), and boost::flyweights::t.

template<class T >

T boost::math::detail::safe_min ( T  t )

inline

References boost::accumulators::extract::min, boost::geometry::math::sqrt(), and boost::flyweights::t.

Referenced by boost::math::acos(), boost::math::asin(), and boost::math::atanh().

long double boost::math::detail::safe_min ( long double  t )

inline

References boost::accumulators::extract::min, boost::geometry::math::sqrt(), and boost::flyweights::t.

template<class T >

int boost::math::detail::signbit_impl ( T  x, generic_tag< true > const &    )

inline

Referenced by boost::math::signbit().

template<class T >

int boost::math::detail::signbit_impl ( T  x, generic_tag< false > const &    )

inline

template<class T >

int boost::math::detail::signbit_impl ( T  x, ieee_copy_all_bits_tag const &    )

inline

References boost::a, BOOST_DEDUCED_TYPENAME, and boost::detail::type.

template<class T >

int boost::math::detail::signbit_impl ( T  x, ieee_copy_leading_bits_tag const &    )

inline

References boost::a, BOOST_DEDUCED_TYPENAME, and boost::detail::type.

template<class T , class Policy >

T boost::math::detail::sin_pi_imp	(	T	x,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::chrono::floor(), boost::iostreams::grep::invert, boost::math::itrunc(), boost::math::sin(), boost::math::sin_pi(), T, and boost::flyweights::x.

template<typename T >

T boost::math::detail::sinc_pi_imp ( const T  x )

inline

References boost::math::abs(), BOOST_MATH_STD_USING, boost::math::sin(), T, and boost::flyweights::x.

Referenced by boost::math::sinc_pi().

template<typename T >

T boost::math::detail::sinhc_pi_imp ( const T  x )

inline

References boost::geometry::math::abs(), boost::math::abs(), boost::math::ef::sinh(), boost::math::sinh(), boost::geometry::math::sqrt(), T, and boost::flyweights::x.

Referenced by boost::math::sinhc_pi().

template<class T >

T boost::math::detail::sinpx

(

T

z

)

References BOOST_ASSERT, BOOST_MATH_STD_USING, boost::chrono::floor(), is_odd(), boost::math::sign(), boost::math::sin(), and T.

Referenced by gamma_imp(), and lgamma_imp().

template<class T , class Policy >

T boost::math::detail::skewness	(	T	v,
		T	delta,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::polygon::delta(), boost::math::isinf(), mean(), boost::math::pow(), T, and phoenix::var().

Referenced by boost::math::skewness().

template<class T , class Policy >

T boost::math::detail::sph_bessel_j_imp ( unsigned  n, T  x, const Policy &  pol  )

inline

References BOOST_MATH_STD_USING, cyl_bessel_j_imp(), boost::math::sinc_pi(), sph_bessel_j_small_z_series(), boost::geometry::math::sqrt(), T, and boost::flyweights::x.

template<class T , class Policy >

T boost::math::detail::sph_bessel_j_prime_imp ( unsigned  v, T  x, const Policy &  pol  )

inline

References boost::flyweights::x.

template<class T , class Policy >

T boost::math::detail::sph_bessel_j_small_z_series ( unsigned  v, T  x, const Policy &  pol  )

inline

References BOOST_MATH_STD_USING, boost::asio::s, boost::geometry::math::sqrt(), boost::math::tools::sum_series(), and T.

Referenced by sph_bessel_j_imp().

template<class T , class Policy >

std::complex<T> boost::math::detail::sph_hankel_imp ( T  v, T  x, const Policy &  pol, int  sign  )

inline

References BOOST_MATH_STD_USING, hankel_imp(), boost::math::sign(), and boost::geometry::math::sqrt().

template<class T , class Policy >

T boost::math::detail::sph_neumann_imp ( unsigned  v, T  x, const Policy &  pol  )

inline

References BOOST_MATH_STD_USING, cyl_neumann_imp(), boost::geometry::math::sqrt(), T, and boost::flyweights::x.

template<class T , class Policy >

T boost::math::detail::sph_neumann_prime_imp ( unsigned  v, T  x, const Policy &  pol  )

inline

References boost::flyweights::x.

template<class T , class U , class Policy >

std::complex<T> boost::math::detail::spherical_harmonic	(	unsigned	n,
		int	m,
		U	theta,
		U	phi,
		const Policy &	pol
	)

References boost::math::abs(), BOOST_MATH_STD_USING, boost::math::policies::checked_narrowing_cast(), boost::math::cos(), boost::math::tools::fmod_workaround(), boost::multiprecision::backends::i, boost::math::sin(), spherical_harmonic_prefix(), and T.

template<class T , class Policy >

T boost::math::detail::spherical_harmonic_i	(	unsigned	n,
		int	m,
		T	theta,
		T	phi,
		const Policy &	pol
	)

References boost::math::abs(), BOOST_MATH_STD_USING, boost::math::tools::fmod_workaround(), boost::math::sign(), boost::math::sin(), spherical_harmonic_prefix(), and T.

Referenced by boost::math::spherical_harmonic_i().

template<class T , class Policy >

T boost::math::detail::spherical_harmonic_prefix ( unsigned  n, unsigned  m, T  theta, const Policy &  pol  )

inline

References BOOST_MATH_STD_USING, boost::math::cos(), boost::math::fabs(), legendre_p_imp(), boost::math::pow(), boost::math::sin(), boost::geometry::math::sqrt(), T, boost::math::tgamma_delta_ratio(), and boost::flyweights::x.

Referenced by spherical_harmonic(), spherical_harmonic_i(), and spherical_harmonic_r().

template<class T , class Policy >

T boost::math::detail::spherical_harmonic_r	(	unsigned	n,
		int	m,
		T	theta,
		T	phi,
		const Policy &	pol
	)

References boost::math::abs(), BOOST_MATH_STD_USING, boost::math::cos(), boost::math::tools::fmod_workaround(), boost::math::sign(), spherical_harmonic_prefix(), and T.

Referenced by boost::math::spherical_harmonic_r().

template<typename RealType , typename Policy >

RealType boost::math::detail::T4_mp ( const RealType  h, const RealType  a, const Policy &  pol  )

inline

References boost::a, boost::spirit::traits::as(), BOOST_MATH_STD_USING, boost::math::exp(), boost::math::fabs(), boost::accumulators::extract::min, boost::math::policies::raise_evaluation_error(), boost::phoenix::val(), and boost::spirit::x3::unicode::yi.

Referenced by owens_t_dispatch().

template<class T , class Policy >

tools::promote_args<T>::type boost::math::detail::tgamma ( T  z, const Policy &  , const mpl::true_    )

inline

References BOOST_FPU_EXCEPTION_GUARD, boost::math::policies::checked_narrowing_cast(), and gamma_imp().

Referenced by tgamma(), and boost::math::tgamma().

template<class T1 , class T2 , class Policy >

tools::promote_args<T1, T2>::type boost::math::detail::tgamma ( T1  a, T2  z, const Policy &  , const mpl::false_    )

inline

References BOOST_FPU_EXCEPTION_GUARD, boost::math::policies::checked_narrowing_cast(), boost::math::detail::igamma_initializer< T, Policy >::force_instantiate(), and gamma_incomplete_imp().

template<class T1 , class T2 >

tools::promote_args<T1, T2>::type boost::math::detail::tgamma ( T1  a, T2  z, const mpl::false_  tag  )

inline

References tgamma().

template<class T , class Policy >

T boost::math::detail::tgamma_delta_ratio_imp	(	T	z,
		T	delta,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::math::fabs(), boost::chrono::floor(), boost::math::itrunc(), T, boost::math::tgamma(), and tgamma_delta_ratio_imp_lanczos().

Referenced by boost::math::tgamma_delta_ratio().

template<class T , class Policy , class Lanczos >

T boost::math::detail::tgamma_delta_ratio_imp_lanczos	(	T	z,
		T	delta,
		const Policy &	pol,
		const Lanczos &	l
	)

References BOOST_MATH_STD_USING, boost::math::exp(), boost::math::fabs(), boost::math::log1p, boost::math::pow(), T, and boost::math::tgamma().

Referenced by tgamma_delta_ratio_imp().

template<class T , class Policy >

T boost::math::detail::tgamma_delta_ratio_imp_lanczos	(	T	z,
		T	delta,
		const Policy &	pol,
		const lanczos::undefined_lanczos &
	)

References BOOST_MATH_STD_USING, boost::polygon::delta(), boost::math::exp(), boost::math::fabs(), boost::math::log1p, lower_gamma_series(), boost::math::pow(), boost::accumulators::extract::sum, T, and upper_gamma_fraction().

template<class T , class Policy >

T boost::math::detail::tgamma_ratio_imp	(	T	x,
		T	y,
		const Policy &	pol
	)

References BOOST_MATH_STD_USING, boost::math::exp(), boost::math::isinf(), boost::math::ef::ldexp(), boost::math::lgamma(), boost::multiprecision::backends::shift, T, boost::math::tgamma(), boost::math::tgamma_delta_ratio(), boost::flyweights::x, and boost::polygon::y().

Referenced by boost::math::tgamma_ratio().

template<class T , class Policy >

T boost::math::detail::tgamma_small_upper_part ( T  a, T  x, const Policy &  pol, T *  pgam = 0, bool  invert = false, T *  pderivative = 0  )

inline

References boost::a, BOOST_MATH_STD_USING, boost::math::exp(), boost::iostreams::grep::invert, boost::multiprecision::backends::p, boost::math::powm1(), boost::asio::s, boost::math::tools::sum_series(), T, and boost::math::tgamma1pm1().

Referenced by erf_imp(), and gamma_incomplete_imp().

template<class T , class Policy , class Lanczos >

T boost::math::detail::tgammap1m1_imp	(	T	dz,
		Policy const &	pol,
		const Lanczos &	l
	)

References BOOST_MATH_INSTRUMENT_CODE, BOOST_MATH_STD_USING, boost::math::expm1, boost::math::log1p, boost::foreach_detail_::or_(), T, boost::BOOST_SIGNALS_NAMESPACE::tag_type(), boost::math::tgamma(), and boost::detail::type.

Referenced by boost::math::tgamma1pm1(), and tgammap1m1_imp().

template<class T , class Policy >

T boost::math::detail::tgammap1m1_imp ( T  dz, Policy const &  pol, const ::boost::math::lanczos::undefined_lanczos &  l  )

inline

References BOOST_MATH_INSTRUMENT_CODE, BOOST_MATH_STD_USING, boost::math::fabs(), gamma_imp(), boost::math::ef::ldexp(), T, and tgammap1m1_imp().

template<class T , class Policy >

tools::promote_args<T>::type boost::math::detail::trunc ( const T &  v, const Policy &  pol, const mpl::false_ &    )

inline

References BOOST_MATH_STD_USING, boost::chrono::ceil(), boost::chrono::floor(), boost::math::isfinite(), and boost::math::policies::raise_rounding_error().

Referenced by boost::math::trunc().

template<class T , class Policy >

tools::promote_args<T>::type boost::math::detail::trunc ( const T &  v, const Policy &  , const mpl::true_ &    )

inline

template<class T >

T boost::math::detail::upper_gamma_fraction ( T  a, T  z, T  eps  )

inline

References boost::math::tools::continued_fraction_a().

Referenced by beta_imp(), erf_imp(), gamma_incomplete_imp(), ibeta_power_terms(), ibeta_series(), regularised_gamma_prefix(), and tgamma_delta_ratio_imp_lanczos().

template<class T , class Policy >

T boost::math::detail::variance	(	T	v,
		T	delta,
		const Policy &	pol
	)

References boost::math::isinf(), mean(), and T.

Referenced by boost::math::mode(), and boost::math::variance().

template<class RealType , class Policy >

bool boost::math::detail::verify_exp_x ( const char *  function, RealType  x, RealType *  presult, const Policy &  pol  )

inline

References boost::math::isnan(), and boost::flyweights::x.

Referenced by boost::math::cdf(), and boost::math::pdf().

template<class RealType , class Policy >

bool boost::math::detail::verify_lambda ( const char *  function, RealType  l, RealType *  presult, const Policy &  pol  )

inline

References boost::math::isfinite().

Referenced by boost::math::cdf(), boost::math::exponential_distribution< RealType, Policy >::exponential_distribution(), boost::math::mean(), boost::math::pdf(), boost::math::quantile(), and boost::math::standard_deviation().

template<class RealType , class Policy >

bool boost::math::detail::verify_rayleigh_x ( const char *  function, RealType  x, RealType *  presult, const Policy &  pol  )

inline

References boost::math::isnan(), and boost::flyweights::x.

Referenced by boost::math::cdf(), and boost::math::pdf().

template<class RealType , class Policy >

bool boost::math::detail::verify_scale_b ( const char *  function, RealType  b, RealType *  presult, const Policy &  pol  )

inline

References boost::asio::b, and boost::math::isfinite().

Referenced by boost::math::cdf(), boost::math::extreme_value_distribution< RealType, Policy >::extreme_value_distribution(), boost::math::mean(), boost::math::pdf(), boost::math::quantile(), and boost::math::standard_deviation().

template<class RealType , class Policy >

bool boost::math::detail::verify_sigma ( const char *  function, RealType  sigma, RealType *  presult, const Policy &  pol  )

inline

References boost::math::isfinite().

Referenced by boost::math::cdf(), boost::math::mean(), boost::math::pdf(), boost::math::quantile(), boost::math::rayleigh_distribution< RealType, Policy >::rayleigh_distribution(), and boost::math::variance().

template<class T , class Policy , class Tag >

T boost::math::detail::zeta_imp	(	T	s,
		T	sc,
		const Policy &	pol,
		const Tag &	tag
	)

References BOOST_MATH_STD_USING, boost::math::exp(), boost::math::fabs(), boost::chrono::floor(), boost::math::lgamma(), boost::math::ef::log(), boost::math::pow(), boost::asio::s, boost::math::sign(), boost::math::sin_pi(), boost::swap, T, boost::math::tgamma(), and zeta_imp_prec().

Referenced by boost::math::zeta().

template<class T , class Policy >

T boost::math::detail::zeta_imp_prec	(	T	s,
		T	sc,
		const Policy &	pol,
		const mpl::int_< 0 > &
	)

References BOOST_MATH_STD_USING, boost::math::ef::log(), T, and zeta_polynomial_series().

Referenced by zeta_imp().

template<class T , class Policy >

T boost::math::detail::zeta_imp_prec ( T  s, T  sc, const Policy &  , const mpl::int_< 53 > &    )

inline

References BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), boost::spirit::lex::lexertl::detail::L(), boost::math::pow(), and T.

template<class T , class Policy >

T boost::math::detail::zeta_imp_prec	(	T	s,
		T	sc,
		const Policy &	,
		const mpl::int_< 64 > &
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), boost::math::pow(), and T.

template<class T , class Policy >

T boost::math::detail::zeta_imp_prec	(	T	s,
		T	sc,
		const Policy &	,
		const mpl::int_< 113 > &
	)

References BOOST_MATH_BIG_CONSTANT, BOOST_MATH_STD_USING, boost::math::tools::evaluate_polynomial(), boost::math::exp(), boost::math::pow(), and T.

template<class T , class Policy >

T boost::math::detail::zeta_polynomial_series	(	T	s,
		T	sc,
		Policy const &
	)

References BOOST_MATH_STD_USING, boost::math::itrunc(), boost::math::ef::ldexp(), boost::math::ef::log(), boost::n, boost::math::pow(), boost::math::powm1(), boost::asio::s, and T.

Referenced by zeta_imp_prec().