constants.hpp File Reference

Go to the source code of this file.

Namespaces
	vsmc
	vsmc::math

Macros
#define	VSMC_DEFINE_MATH_CONSTANTS(name, val)

Functions
template<typename T >
T	vsmc::math::e ()
	\(e\) More...
template<>
double	vsmc::math::e< double > ()
template<>
float	vsmc::math::e< float > ()
template<>
long double	vsmc::math::e< long double > ()
template<typename T >
T	vsmc::math::e_inv ()
	\(1/e\) More...
template<>
double	vsmc::math::e_inv< double > ()
template<>
float	vsmc::math::e_inv< float > ()
template<>
long double	vsmc::math::e_inv< long double > ()
template<typename T >
T	vsmc::math::ln_10 ()
	\(\ln(10)\) More...
template<>
double	vsmc::math::ln_10< double > ()
template<>
float	vsmc::math::ln_10< float > ()
template<>
long double	vsmc::math::ln_10< long double > ()
template<typename T >
T	vsmc::math::ln_2 ()
	\(\ln(2)\) More...
template<>
double	vsmc::math::ln_2< double > ()
template<>
float	vsmc::math::ln_2< float > ()
template<>
long double	vsmc::math::ln_2< long double > ()
template<typename T >
T	vsmc::math::ln_3 ()
	\(\ln(3)\) More...
template<>
double	vsmc::math::ln_3< double > ()
template<>
float	vsmc::math::ln_3< float > ()
template<>
long double	vsmc::math::ln_3< long double > ()
template<typename T >
T	vsmc::math::ln_5 ()
	\(\ln(5)\) More...
template<>
double	vsmc::math::ln_5< double > ()
template<>
float	vsmc::math::ln_5< float > ()
template<>
long double	vsmc::math::ln_5< long double > ()
template<typename T >
T	vsmc::math::ln_inv_10 ()
	\(1/\ln(10)\) More...
template<>
double	vsmc::math::ln_inv_10< double > ()
template<>
float	vsmc::math::ln_inv_10< float > ()
template<>
long double	vsmc::math::ln_inv_10< long double > ()
template<typename T >
T	vsmc::math::ln_inv_2 ()
	\(1/\ln(2)\) More...
template<>
double	vsmc::math::ln_inv_2< double > ()
template<>
float	vsmc::math::ln_inv_2< float > ()
template<>
long double	vsmc::math::ln_inv_2< long double > ()
template<typename T >
T	vsmc::math::ln_inv_3 ()
	\(1/\ln(3)\) More...
template<>
double	vsmc::math::ln_inv_3< double > ()
template<>
float	vsmc::math::ln_inv_3< float > ()
template<>
long double	vsmc::math::ln_inv_3< long double > ()
template<typename T >
T	vsmc::math::ln_inv_5 ()
	\(1/\ln(5)\) More...
template<>
double	vsmc::math::ln_inv_5< double > ()
template<>
float	vsmc::math::ln_inv_5< float > ()
template<>
long double	vsmc::math::ln_inv_5< long double > ()
template<typename T >
T	vsmc::math::ln_ln_2 ()
	\(\ln(\ln(2))\) More...
template<>
double	vsmc::math::ln_ln_2< double > ()
template<>
float	vsmc::math::ln_ln_2< float > ()
template<>
long double	vsmc::math::ln_ln_2< long double > ()
template<typename T >
T	vsmc::math::ln_pi ()
	\(\ln(\pi)\) More...
template<>
double	vsmc::math::ln_pi< double > ()
template<>
float	vsmc::math::ln_pi< float > ()
template<>
long double	vsmc::math::ln_pi< long double > ()
template<typename T >
T	vsmc::math::ln_pi_2 ()
	\(\ln(2\pi)\) More...
template<>
double	vsmc::math::ln_pi_2< double > ()
template<>
float	vsmc::math::ln_pi_2< float > ()
template<>
long double	vsmc::math::ln_pi_2< long double > ()
template<typename T >
T	vsmc::math::ln_pi_2by3 ()
	\(\ln((2/3)\pi)\) More...
template<>
double	vsmc::math::ln_pi_2by3< double > ()
template<>
float	vsmc::math::ln_pi_2by3< float > ()
template<>
long double	vsmc::math::ln_pi_2by3< long double > ()
template<typename T >
T	vsmc::math::ln_pi_3by4 ()
	\(\ln((3/4)\pi)\) More...
template<>
double	vsmc::math::ln_pi_3by4< double > ()
template<>
float	vsmc::math::ln_pi_3by4< float > ()
template<>
long double	vsmc::math::ln_pi_3by4< long double > ()
template<typename T >
T	vsmc::math::ln_pi_4by3 ()
	\(\ln((4/3)\pi)\) More...
template<>
double	vsmc::math::ln_pi_4by3< double > ()
template<>
float	vsmc::math::ln_pi_4by3< float > ()
template<>
long double	vsmc::math::ln_pi_4by3< long double > ()
template<typename T >
T	vsmc::math::ln_pi_by2 ()
	\(\ln(\pi/2)\) More...
template<>
double	vsmc::math::ln_pi_by2< double > ()
template<>
float	vsmc::math::ln_pi_by2< float > ()
template<>
long double	vsmc::math::ln_pi_by2< long double > ()
template<typename T >
T	vsmc::math::ln_pi_by3 ()
	\(\ln(\pi/3)\) More...
template<>
double	vsmc::math::ln_pi_by3< double > ()
template<>
float	vsmc::math::ln_pi_by3< float > ()
template<>
long double	vsmc::math::ln_pi_by3< long double > ()
template<typename T >
T	vsmc::math::ln_pi_by4 ()
	\(\ln(\pi/4)\) More...
template<>
double	vsmc::math::ln_pi_by4< double > ()
template<>
float	vsmc::math::ln_pi_by4< float > ()
template<>
long double	vsmc::math::ln_pi_by4< long double > ()
template<typename T >
T	vsmc::math::ln_pi_by6 ()
	\(\ln(\pi/6)\) More...
template<>
double	vsmc::math::ln_pi_by6< double > ()
template<>
float	vsmc::math::ln_pi_by6< float > ()
template<>
long double	vsmc::math::ln_pi_by6< long double > ()
template<typename T >
T	vsmc::math::pi ()
	\(\pi\) More...
template<>
double	vsmc::math::pi< double > ()
template<>
float	vsmc::math::pi< float > ()
template<>
long double	vsmc::math::pi< long double > ()
template<typename T >
T	vsmc::math::pi_2 ()
	\(2\pi\) More...
template<>
double	vsmc::math::pi_2< double > ()
template<>
float	vsmc::math::pi_2< float > ()
template<>
long double	vsmc::math::pi_2< long double > ()
template<typename T >
T	vsmc::math::pi_2by3 ()
	\((2/3)\pi\) More...
template<>
double	vsmc::math::pi_2by3< double > ()
template<>
float	vsmc::math::pi_2by3< float > ()
template<>
long double	vsmc::math::pi_2by3< long double > ()
template<typename T >
T	vsmc::math::pi_3by4 ()
	\((3/4)\pi\) More...
template<>
double	vsmc::math::pi_3by4< double > ()
template<>
float	vsmc::math::pi_3by4< float > ()
template<>
long double	vsmc::math::pi_3by4< long double > ()
template<typename T >
T	vsmc::math::pi_4by3 ()
	\((4/3)\pi\) More...
template<>
double	vsmc::math::pi_4by3< double > ()
template<>
float	vsmc::math::pi_4by3< float > ()
template<>
long double	vsmc::math::pi_4by3< long double > ()
template<typename T >
T	vsmc::math::pi_by2 ()
	\(\pi/2\) More...
template<>
double	vsmc::math::pi_by2< double > ()
template<>
float	vsmc::math::pi_by2< float > ()
template<>
long double	vsmc::math::pi_by2< long double > ()
template<typename T >
T	vsmc::math::pi_by3 ()
	\(\pi/3\) More...
template<>
double	vsmc::math::pi_by3< double > ()
template<>
float	vsmc::math::pi_by3< float > ()
template<>
long double	vsmc::math::pi_by3< long double > ()
template<typename T >
T	vsmc::math::pi_by4 ()
	\(\pi/4\) More...
template<>
double	vsmc::math::pi_by4< double > ()
template<>
float	vsmc::math::pi_by4< float > ()
template<>
long double	vsmc::math::pi_by4< long double > ()
template<typename T >
T	vsmc::math::pi_by6 ()
	\(\pi/6\) More...
template<>
double	vsmc::math::pi_by6< double > ()
template<>
float	vsmc::math::pi_by6< float > ()
template<>
long double	vsmc::math::pi_by6< long double > ()
template<typename T >
T	vsmc::math::pi_inv ()
	\(1/\pi\) More...
template<>
double	vsmc::math::pi_inv< double > ()
template<>
float	vsmc::math::pi_inv< float > ()
template<>
long double	vsmc::math::pi_inv< long double > ()
template<typename T >
T	vsmc::math::pi_sqr ()
	\(\pi^2\) More...
template<>
double	vsmc::math::pi_sqr< double > ()
template<>
float	vsmc::math::pi_sqr< float > ()
template<>
long double	vsmc::math::pi_sqr< long double > ()
template<typename T >
T	vsmc::math::sqrt_10 ()
	\(\sqrt{10}\) More...
template<>
double	vsmc::math::sqrt_10< double > ()
template<>
float	vsmc::math::sqrt_10< float > ()
template<>
long double	vsmc::math::sqrt_10< long double > ()
template<typename T >
T	vsmc::math::sqrt_1by10 ()
	\(\sqrt{1/10}\) More...
template<>
double	vsmc::math::sqrt_1by10< double > ()
template<>
float	vsmc::math::sqrt_1by10< float > ()
template<>
long double	vsmc::math::sqrt_1by10< long double > ()
template<typename T >
T	vsmc::math::sqrt_1by2 ()
	\(\sqrt{1/2}\) More...
template<>
double	vsmc::math::sqrt_1by2< double > ()
template<>
float	vsmc::math::sqrt_1by2< float > ()
template<>
long double	vsmc::math::sqrt_1by2< long double > ()
template<typename T >
T	vsmc::math::sqrt_1by3 ()
	\(\sqrt{1/3}\) More...
template<>
double	vsmc::math::sqrt_1by3< double > ()
template<>
float	vsmc::math::sqrt_1by3< float > ()
template<>
long double	vsmc::math::sqrt_1by3< long double > ()
template<typename T >
T	vsmc::math::sqrt_1by5 ()
	\(\sqrt{1/5}\) More...
template<>
double	vsmc::math::sqrt_1by5< double > ()
template<>
float	vsmc::math::sqrt_1by5< float > ()
template<>
long double	vsmc::math::sqrt_1by5< long double > ()
template<typename T >
T	vsmc::math::sqrt_2 ()
	\(\sqrt{2}\) More...
template<>
double	vsmc::math::sqrt_2< double > ()
template<>
float	vsmc::math::sqrt_2< float > ()
template<>
long double	vsmc::math::sqrt_2< long double > ()
template<typename T >
T	vsmc::math::sqrt_3 ()
	\(\sqrt{3}\) More...
template<>
double	vsmc::math::sqrt_3< double > ()
template<>
float	vsmc::math::sqrt_3< float > ()
template<>
long double	vsmc::math::sqrt_3< long double > ()
template<typename T >
T	vsmc::math::sqrt_5 ()
	\(\sqrt{5}\) More...
template<>
double	vsmc::math::sqrt_5< double > ()
template<>
float	vsmc::math::sqrt_5< float > ()
template<>
long double	vsmc::math::sqrt_5< long double > ()
template<typename T >
T	vsmc::math::sqrt_e ()
	\(\sqrt{e}\) More...
template<>
double	vsmc::math::sqrt_e< double > ()
template<>
float	vsmc::math::sqrt_e< float > ()
template<>
long double	vsmc::math::sqrt_e< long double > ()
template<typename T >
T	vsmc::math::sqrt_e_inv ()
	\(\sqrt{1/e}\) More...
template<>
double	vsmc::math::sqrt_e_inv< double > ()
template<>
float	vsmc::math::sqrt_e_inv< float > ()
template<>
long double	vsmc::math::sqrt_e_inv< long double > ()
template<typename T >
T	vsmc::math::sqrt_pi ()
	\(\sqrt{\pi}\) More...
template<>
double	vsmc::math::sqrt_pi< double > ()
template<>
float	vsmc::math::sqrt_pi< float > ()
template<>
long double	vsmc::math::sqrt_pi< long double > ()
template<typename T >
T	vsmc::math::sqrt_pi_2 ()
	\(\sqrt{2\pi}\) More...
template<>
double	vsmc::math::sqrt_pi_2< double > ()
template<>
float	vsmc::math::sqrt_pi_2< float > ()
template<>
long double	vsmc::math::sqrt_pi_2< long double > ()
template<typename T >
T	vsmc::math::sqrt_pi_2by3 ()
	\(\sqrt{(2/3)\pi}\) More...
template<>
double	vsmc::math::sqrt_pi_2by3< double > ()
template<>
float	vsmc::math::sqrt_pi_2by3< float > ()
template<>
long double	vsmc::math::sqrt_pi_2by3< long double > ()
template<typename T >
T	vsmc::math::sqrt_pi_3by4 ()
	\(\sqrt{(3/4)\pi/}\) More...
template<>
double	vsmc::math::sqrt_pi_3by4< double > ()
template<>
float	vsmc::math::sqrt_pi_3by4< float > ()
template<>
long double	vsmc::math::sqrt_pi_3by4< long double > ()
template<typename T >
T	vsmc::math::sqrt_pi_4by3 ()
	\(\sqrt{(4/3)\pi}\) More...
template<>
double	vsmc::math::sqrt_pi_4by3< double > ()
template<>
float	vsmc::math::sqrt_pi_4by3< float > ()
template<>
long double	vsmc::math::sqrt_pi_4by3< long double > ()
template<typename T >
T	vsmc::math::sqrt_pi_by2 ()
	\(\sqrt{\pi/2}\) More...
template<>
double	vsmc::math::sqrt_pi_by2< double > ()
template<>
float	vsmc::math::sqrt_pi_by2< float > ()
template<>
long double	vsmc::math::sqrt_pi_by2< long double > ()
template<typename T >
T	vsmc::math::sqrt_pi_by3 ()
	\(\sqrt{\pi/3}\) More...
template<>
double	vsmc::math::sqrt_pi_by3< double > ()
template<>
float	vsmc::math::sqrt_pi_by3< float > ()
template<>
long double	vsmc::math::sqrt_pi_by3< long double > ()
template<typename T >
T	vsmc::math::sqrt_pi_by4 ()
	\(\sqrt{\pi/4}\) More...
template<>
double	vsmc::math::sqrt_pi_by4< double > ()
template<>
float	vsmc::math::sqrt_pi_by4< float > ()
template<>
long double	vsmc::math::sqrt_pi_by4< long double > ()
template<typename T >
T	vsmc::math::sqrt_pi_by6 ()
	\(\sqrt{\pi/6}\) More...
template<>
double	vsmc::math::sqrt_pi_by6< double > ()
template<>
float	vsmc::math::sqrt_pi_by6< float > ()
template<>
long double	vsmc::math::sqrt_pi_by6< long double > ()
template<typename T >
T	vsmc::math::sqrt_pi_inv ()
	\(\sqrt{1/\pi}\) More...
template<>
double	vsmc::math::sqrt_pi_inv< double > ()
template<>
float	vsmc::math::sqrt_pi_inv< float > ()
template<>
long double	vsmc::math::sqrt_pi_inv< long double > ()

Macro Definition Documentation

#define VSMC_DEFINE_MATH_CONSTANTS	(		name,
			val
	)

Value:

template <typename T> inline T name () {return static_cast<T>(val##l);}      \
template <> inline float       name <float>       () {return val##f;}        \
template <> inline double      name <double>      () {return val;}           \
template <> inline long double name <long double> () {return val##l;}

Definition at line 35 of file constants.hpp.