Constants.h File Reference

Fundamental mathematical constants for Crux. More...

Namespaces
namespace	Crux

Variables
template<typename T>
constexpr T	Crux::Pi = static_cast<T>(3.14159265358979323846)
	The value of pi.
template<typename T>
constexpr T	Crux::TwoPi = static_cast<T>(6.28318530717958647692)
	The value of 2pi (two pi).
template<typename T>
constexpr T	Crux::HalfPi = static_cast<T>(1.57079632679489661923)
	The value of pi/2 (half pi).
template<typename T>
constexpr T	Crux::QuarterPi = static_cast<T>(0.78539816339744830961)
	The value of pi/4 (quarter pi).
template<typename T>
constexpr T	Crux::InvPi = static_cast<T>(0.31830988618379067153)
	1/pi (inverse pi).
template<typename T>
constexpr T	Crux::InvTwoPi = static_cast<T>(0.15915494309189533576)
	1/(2pi) (inverse two pi).
template<typename T>
constexpr T	Crux::DegToRad = Pi<T> / static_cast<T>(180)
	Degrees-to-radians conversion factor (pi/180).
template<typename T>
constexpr T	Crux::RadToDeg = static_cast<T>(180) / Pi<T>
	Radians-to-degrees conversion factor (180/pi).
template<typename T>
constexpr T	Crux::Sqrt2 = static_cast<T>(1.41421356237309504880)
	sqrt2 (square root of two).
template<typename T>
constexpr T	Crux::InvSqrt2 = static_cast<T>(0.70710678118654752440)
	1/sqrt2 (inverse square root of two).
template<typename T>
constexpr T	Crux::Sqrt3 = static_cast<T>(1.73205080756887729352)
	sqrt3 (square root of three).
template<typename T>
constexpr T	Crux::InvSqrt3 = static_cast<T>(0.57735026918962576450)
	1/sqrt3 (inverse square root of three).
template<typename T>
constexpr T	Crux::E = static_cast<T>(2.71828182845904523536)
	Euler's number (e).
template<typename T>
constexpr T	Crux::InvE = static_cast<T>(0.36787944117144232159)
	1/e (inverse of Euler's number).
template<typename T>
constexpr T	Crux::Ln2 = static_cast<T>(0.69314718055994530942)
	Natural logarithm of 2 (ln(2)).
template<typename T>
constexpr T	Crux::Ln10 = static_cast<T>(2.30258509299404568402)
	Natural logarithm of 10 (ln(10)).
template<typename T>
constexpr T	Crux::Log2E = static_cast<T>(1.44269504088896340736)
	Base-2 logarithm of e (log2(e)).
template<typename T>
constexpr T	Crux::Log10E = static_cast<T>(0.43429448190325182765)
	Base-10 logarithm of e (log10(e)).
template<typename T>
constexpr T	Crux::Phi = static_cast<T>(1.61803398874989484820)
	The golden ratio.
template<typename T>
constexpr T	Crux::Epsilon = static_cast<T>(1e-7)
	Small epsilon for floating-point comparisons.

Detailed Description

Fundamental mathematical constants for Crux.

Defines high-precision values of pi, conversion factors, square root constants, logarithmic bases, and other commonly used constants in a templated, type-safe manner. All values are constexpr to support compile-time evaluation.

Author

Philip & Crow-Works Team