Math.h File Reference

#include "JPLSpatial/Core.h"
#include <numbers>
#include <cmath>
#include <limits>
#include <concepts>
#include <type_traits>
#include <bit>
#include <utility>

Go to the source code of this file.

Classes
struct	JPL::FloatNubmer< float >
struct	JPL::FloatNubmer< double >

Namespaces
namespace	JPL
namespace	JPL::Math
namespace	JPL::Math::Detail
	Square Root.

Concepts
concept	JPL::Math::CArithmetic
concept	JPL::Math::COrderedWith
concept	JPL::Math::CArithmeticAndOrderedWith

Functions
template<std::floating_point T>
JPL_INLINE constexpr T	JPL::Math::ToRadians (T degrees) noexcept
	Function to convert degrees to radians.
template<std::floating_point T>
JPL_INLINE constexpr T	JPL::Math::ToDegrees (T radians) noexcept
	Function to convert radians to degrees.
template<std::floating_point T>
JPL_INLINE constexpr bool	JPL::Math::IsNan (T x) noexcept
template<CArithmetic T>
JPL_INLINE constexpr auto	JPL::Math::Abs (const T &value) noexcept
	Standard abs is not constexpr in C++20.
template<std::floating_point T>
JPL_INLINE constexpr T	JPL::Math::Floor (T value) noexcept
	A constexpr implementation of floor.
template<CArithmetic T>
JPL_INLINE constexpr T	JPL::Math::Sign (T value) noexcept
	Sign returns -1 for negative values, 1 for positive, 0 for 0.
template<CArithmetic T>
JPL_INLINE constexpr T	JPL::Math::Sign2 (T value) noexcept
	Sign2 returns -1 for negative values, 1 otherwise.
template<CArithmetic T1, CArithmeticAndOrderedWith< T1 > T2>
JPL_INLINE constexpr bool	JPL::Math::IsPositiveAndBelow (T1 value, T2 below) noexcept
template<std::floating_point T>
JPL_INLINE constexpr bool	JPL::Math::IsNearlyZero (T value, T errorTolerance=JPL_FLOAT_EPS_V< T >) noexcept
template<std::floating_point T>
JPL_INLINE constexpr bool	JPL::Math::IsNearlyEqual (T a, T b, T tolerance=JPL_FLOAT_EPS_V< T >) noexcept
template<std::integral T>
JPL_INLINE constexpr bool	JPL::Math::IsEven (T number) noexcept
template<std::floating_point T>
JPL_INLINE std::pair< T, T >	JPL::Math::SinCos (T value) noexcept
template<std::floating_point T>
JPL_INLINE constexpr T	JPL::Math::Lerp (const T &v0, const T &v1, T t) noexcept
	Linearly interpolate v0 towards v1.
template<std::integral T, std::floating_point Tt>
JPL_INLINE constexpr T	JPL::Math::Lerp (const T &v0, const T &v1, Tt t) noexcept
	Linearly interpolate v0 towards v1.
template<std::floating_point T>
JPL_INLINE constexpr T	JPL::Math::FMA (T a, T b, T c) noexcept
	Inlined fuse multiply-add. Compiler in some circumstances is more eager to optimize this than std::fma.
template<std::floating_point T>
constexpr T	JPL::Math::Detail::QNan () noexcept
	constexpr-friendly quiet NaN (IEEE-754 only)
template<std::floating_point T>
constexpr T	JPL::Math::Detail::InvSqrtInitialGuess (T x) noexcept
template<std::floating_point T, int NR>
constexpr T	JPL::Math::Detail::InvSqrtNewtonRefine (T x, T y) noexcept
	Scalar NR on inverse sqrt.
template<std::floating_point T, int NR>
constexpr T	JPL::Math::Detail::SqrtConstevalFallback (T x) noexcept
	Pure constexpr fallback sqrt using inverse-sqrt NR.
template<std::floating_point T, int NR = 2>
JPL_INLINE constexpr T	JPL::Math::Sqrt (T x) noexcept
template<std::floating_point T, int NR = 2>
JPL_INLINE constexpr T	JPL::Math::InvSqrt (T x) noexcept