mtcore::math Namespace Reference

Math utilities, often with constexpr support. More...

Classes
struct	AddRatios
	Template to add two std::ratio numbers. More...
struct	AddRatios< std::ratio< N1, D1 >, std::ratio< N2, D2 > >
struct	GCD
	Template to get GCD of numbers. More...
struct	GCD< A, 0 >
struct	IntPowRatio
struct	IntPowRatioImpl
	Template to get the integer power (positive or negative) of a ratio. More...
struct	IntPowRatioImpl< std::ratio< N, D >, 0, false, false, true >
struct	IntPowRatioImpl< std::ratio< N, D >, Pow, false, false, false >
struct	IntPowRatioImpl< std::ratio< N, D >, Pow, Odd, true, false >
struct	IntPowRatioImpl< std::ratio< N, D >, Pow, true, false, false >
struct	InvertRatio
	Template to invert a ratio number. More...
struct	InvertRatio< std::ratio< Num, Den > >
struct	LCM
	Template to get LCM of numbers. More...
struct	MultRatios
	Template to multiply two std::ratio numbers. More...
struct	MultRatios< std::ratio< N1, D1 >, std::ratio< N2, D2 > >
struct	NegateRatio
	Template to negate the power of a ratio. More...
struct	NegateRatio< std::ratio< Num, Den > >
struct	RatioParts
	Template to get the Numerator and Denominator of a std::ratio. More...
struct	RatioParts< std::ratio< Num, Den > >

Functions
template<typename T, typename R = double>
constexpr R	floor_constexpr (T num) noexcept
	Constexpr floor function.
template<typename T, typename R = double>
constexpr R	ceil_constexpr (T num) noexcept
	Constexpr ceil function.
template<typename T, typename R = T>
constexpr R	floor (T num) noexcept
	Floors a number with support for constexpr and fast runtime compilation.
template<typename T, typename R = T>
constexpr R	ceil (T v) noexcept
	Ceils a number with support for constexpr and fast runtime compilation.
template<typename L, typename R, typename Res = L>
constexpr Res	mod (L left, R right) noexcept
	Calculates the mathematical mod of two numbers.
template<typename T>
constexpr auto	mod_range (T x, i64 a, i64 b) noexcept -> T
	x mod [a..b)
template<typename L, typename R, typename Res = L>
constexpr auto	amod (L x, R y) noexcept -> Res
	x mod [1..y]
template<typename T, typename R = T>
constexpr auto	approx_eq (T x, R y, T epsilon=T{0.000001}) noexcept -> bool
	Checks if two numbers are approximately equal (within epsilon distance)
template<typename T>
constexpr int	sign (const T &v)
	Gets the sign (1 for positive, -1 for negative, 0 for zero)
template<typename L>
constexpr L	abs (L l)
	Gets absolute value of a number.
template<typename T>
constexpr T	int_pow (T val, int exp)
	Raises to an integer power (positive or negative)
template<std::integral T>
constexpr T	gcd (T a, T b)
	Calculates the GCD (Greatest Common Divisor) of two integer numbers.
template<std::integral T>
constexpr T	lcm (T a, T b)
	Calculates the LCM (Least Common Multiple) of two integer numbers.

Detailed Description

Math utilities, often with constexpr support.