Constants.hpp File Reference

Commonly used mathematical constants. More...

#include <type_traits>

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Namespaces
namespace	AMCAX
	Namespace of all interface in the AMCAX kernel.
namespace	AMCAX::Constants
	Namespace of mathematical constants.

Variables
template<typename T>
constexpr T	AMCAX::Constants::e_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(2.718281828459045235360287471352662498L)
	Base of natural logarithm (also known as Napier's constant / Euler's number)
constexpr double	AMCAX::Constants::e = e_v<double>
	Base of natural logarithm (also known as Napier's constant / Euler's number)
template<typename T>
constexpr T	AMCAX::Constants::log2e_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(1.442695040888963407359924681001892137L)
	log2(e)
constexpr double	AMCAX::Constants::log2e = log2e_v<double>
	log2(e)
template<typename T>
constexpr T	AMCAX::Constants::log10e_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(0.434294481903251827651128918916605082L)
	log10(e)
constexpr double	AMCAX::Constants::log10e = log10e_v<double>
	log10(e)
template<typename T>
constexpr T	AMCAX::Constants::pi_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(3.141592653589793238462643383279502884L)
	Mathematical constant Pi, ratio of a circle's circumference to its diameter.
constexpr double	AMCAX::Constants::pi = pi_v<double>
	Mathematical constant Pi, ratio of a circle's circumference to its diameter.
template<typename T>
constexpr T	AMCAX::Constants::half_pi_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(1.570796326794896619231321691639751442L)
	pi/2
constexpr double	AMCAX::Constants::half_pi = half_pi_v<double>
	pi/2
template<typename T>
constexpr T	AMCAX::Constants::quarter_pi_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(0.785398163397448309615660845819875721L)
	pi/4
constexpr double	AMCAX::Constants::quarter_pi = quarter_pi_v<double>
	pi/4
template<typename T>
constexpr T	AMCAX::Constants::two_pi_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(6.283185307179586476925286766559005768L)
	2pi
constexpr double	AMCAX::Constants::two_pi = two_pi_v<double>
	2pi
template<typename T>
constexpr T	AMCAX::Constants::inv_pi_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(0.318309886183790671537767526745028724L)
	1/pi
constexpr double	AMCAX::Constants::inv_pi = inv_pi_v<double>
	1/pi
template<typename T>
constexpr T	AMCAX::Constants::two_inv_pi_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(0.636619772367581343075535053490057448L)
	2/pi
constexpr double	AMCAX::Constants::two_inv_pi = two_inv_pi_v<double>
	2/pi
template<typename T>
constexpr T	AMCAX::Constants::inv_sqrtpi_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(0.564189583547756286948079451560772586L)
	1/sqrt(pi)
constexpr double	AMCAX::Constants::inv_sqrtpi = inv_sqrtpi_v<double>
	1/sqrt(pi)
template<typename T>
constexpr T	AMCAX::Constants::two_inv_sqrtpi_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(1.128379167095512573896158903121545172L)
	2/sqrt(pi)
constexpr double	AMCAX::Constants::two_inv_sqrtpi = two_inv_sqrtpi_v<double>
	2/sqrt(pi)
template<typename T>
constexpr T	AMCAX::Constants::ln2_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(0.693147180559945309417232121458176568L)
	ln(2)
constexpr double	AMCAX::Constants::ln2 = ln2_v<double>
	ln(2)
template<typename T>
constexpr T	AMCAX::Constants::ln10_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(2.302585092994045684017991454684364208L)
	ln(10)
constexpr double	AMCAX::Constants::ln10 = ln10_v<double>
	ln(10)
template<typename T>
constexpr T	AMCAX::Constants::sqrt2_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(1.414213562373095048801688724209698079L)
	sqrt(2)
constexpr double	AMCAX::Constants::sqrt2 = sqrt2_v<double>
	sqrt(2)
template<typename T>
constexpr T	AMCAX::Constants::half_sqrt2_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(0.707106781186547524400844362104849039L)
	sqrt(2)/2
constexpr double	AMCAX::Constants::half_sqrt2 = half_sqrt2_v<double>
	sqrt(2)/2
template<typename T>
constexpr T	AMCAX::Constants::inv_sqrt2_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(0.707106781186547524400844362104849039L)
	1/sqrt(2), same as half_sqrt2_v
constexpr double	AMCAX::Constants::inv_sqrt2 = inv_sqrt2_v<double>
	1/sqrt(2), same as half_sqrt2
template<typename T>
constexpr T	AMCAX::Constants::sqrt3_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(1.732050807568877293527446341505872367L)
	sqrt(3)
constexpr double	AMCAX::Constants::sqrt3 = sqrt3_v<double>
	sqrt(3)
template<typename T>
constexpr T	AMCAX::Constants::inv_sqrt3_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(0.577350269189625764509148780501957456L)
	1/sqrt(3)
constexpr double	AMCAX::Constants::inv_sqrt3 = inv_sqrt3_v<double>
	1/sqrt(3)
template<typename T>
constexpr T	AMCAX::Constants::egamma_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(0.577215664901532860606512090082402431L)
	Euler-Mascheroni constant.
constexpr double	AMCAX::Constants::egamma = egamma_v<double>
	Euler-Mascheroni constant.
template<typename T>
constexpr T	AMCAX::Constants::phi_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(1.618033988749894848204586834365638118L)
	Golden ratio.
constexpr double	AMCAX::Constants::phi = phi_v<double>
	Golden ratio.

Detailed Description

Commonly used mathematical constants.

Copyright

Copyright (c) 2025 Hefei Jiushao Intelligent Technology Co., Ltd. All rights reserved.

This file is part of AMCAX kernel.