常用数学常数更多...

#include <type_traits>

Constants.hpp 的引用(Include)关系图:

此图展示该文件被哪些文件直接或间接地引用了:

命名空间
namespace	AMCAX
	AMCAX 内核提供的所有接口所在的命名空间。

namespace	AMCAX::Constants
	数学常数命名空间。

变量
template<typename T>
constexpr T	AMCAX::Constants::e_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(2.718281828459045235360287471352662498L)
	自然对数的底数（也称为纳皮尔常数/欧拉数）

constexpr double	AMCAX::Constants::e = e_v<double>
	自然对数的底数（也称为纳皮尔常数/欧拉数）

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)
	数学常数 Pi，圆的周长与直径之比

constexpr double	AMCAX::Constants::pi = pi_v<double>
	数学常数 Pi，圆的周长与直径之比

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)，与 half_sqrt2_v 相同

constexpr double	AMCAX::Constants::inv_sqrt2 = inv_sqrt2_v<double>
	1/sqrt(2)，与 half_sqrt2 相同

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)
	欧拉-马斯刻若尼常数

constexpr double	AMCAX::Constants::egamma = egamma_v<double>
	欧拉-马斯刻若尼常数

template<typename T>
constexpr T	AMCAX::Constants::phi_v = static_cast<std::enable_if_t<std::is_floating_point_v<T>, T>>(1.618033988749894848204586834365638118L)
	黄金比例

constexpr double	AMCAX::Constants::phi = phi_v<double>
	黄金比例

详细描述

常用数学常数

该文件是 AMCAX 内核的一部分

命名空间

变量

详细描述