constants.hpp File Reference

Mathematical constants. More...

#include <cstdint>
#include <cmath>
#include <limits>
#include <numbers>
#include <libsbx/math/concepts.hpp>

Go to the source code of this file.

Namespaces
namespace	libsbx

Variables
template<floating_point Type>
constexpr auto	sbx::math::epsilon_v = std::numeric_limits<Type>::epsilon()
	Machine epsilon for a floating-point type. More...
constexpr auto	sbx::math::epsilonf = epsilon_v<std::float_t>
	Machine epsilon for std::float_t.
constexpr auto	sbx::math::epsilond = epsilon_v<std::double_t>
	Machine epsilon for std::double_t.
constexpr auto	sbx::math::epsilon = epsilonf
	Default machine epsilon. More...
template<floating_point Type>
constexpr auto	sbx::math::pi_v = std::numbers::pi_v<Type>
	Pi constant for a floating-point type. More...
constexpr auto	sbx::math::pif = pi_v<std::float_t>
	Pi constant for std::float_t.
constexpr auto	sbx::math::pid = pi_v<std::double_t>
	Pi constant for std::double_t.
constexpr auto	sbx::math::pi = pif
	Default pi constant. More...
template<floating_point Type>
constexpr auto	sbx::math::two_pi_v = static_cast<Type>(2) * pi_v<Type>
	Two-pi constant for a floating-point type. More...
constexpr auto	sbx::math::two_pif = two_pi_v<std::float_t>
	Two-pi constant for std::float_t.
constexpr auto	sbx::math::two_pid = two_pi_v<std::double_t>
	Two-pi constant for std::double_t.
constexpr auto	sbx::math::two_pi = two_pif
	Default two-pi constant. More...

Detailed Description

Mathematical constants.

This header defines commonly used mathematical constants in a type-safe, constexpr-friendly manner. Constants are provided as variable templates parameterized on floating-point type, along with convenient aliases for commonly used precisions.

All constants are intended to be used consistently across the math module to avoid magic numbers and precision mismatches.

Author

KAJ

Copyright

(C) 2026 Jonas Kabelitz

Variable Documentation

epsilon

constexpr auto sbx::math::epsilon = epsilonf

inlineconstexpr

Default machine epsilon.

Alias for epsilonf.

epsilon_v

template<floating_point Type>

constexpr auto sbx::math::epsilon_v = std::numeric_limits<Type>::epsilon()

inlineconstexpr

Machine epsilon for a floating-point type.

Template Parameters

Type	Floating-point type.

pi

constexpr auto sbx::math::pi = pif

inlineconstexpr

Default pi constant.

Alias for pif.

pi_v

template<floating_point Type>

constexpr auto sbx::math::pi_v = std::numbers::pi_v<Type>

inlineconstexpr

Pi constant for a floating-point type.

Template Parameters

Type	Floating-point type.

two_pi

constexpr auto sbx::math::two_pi = two_pif

inlineconstexpr

Default two-pi constant.

Alias for two_pif.

two_pi_v

template<floating_point Type>

constexpr auto sbx::math::two_pi_v = static_cast<Type>(2) * pi_v<Type>

inlineconstexpr

Two-pi constant for a floating-point type.

Template Parameters

Type	Floating-point type.