FixedPoint.hpp File Reference

#include "CeresEngine/DataTypes.hpp"
#include "CeresEngine/Foundation/Hash.hpp"
#include "CeresEngine/Foundation/Container/Array.hpp"
#include "CeresEngine/Math/Math.hpp"
#include <cmath>
#include <limits>

Go to the source code of this file.

Classes
struct	Math::FixedPoint< T, P >

Namespaces
namespace	Math

Typedefs
using	Math::Fixed32x32 = FixedPoint< Int64, 32 >
	A general purpose 32.32 fixed point type.
using	Math::Fixed44x20 = FixedPoint< Int64, 20 >
	A general purpose 44.20 fixed point type.
using	Math::Fixed20x44 = FixedPoint< Int64, 44 >
	A general purpose 20.44 fixed point type.
using	Math::Fixed48x16 = Math::FixedPoint< Int64, 16 >
	A general purpose 48.16 fixed point type.
using	Math::Fixed16x48 = Math::FixedPoint< Int64, 48 >
	A general purpose 16.48 fixed point type.

Functions
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::operator- (const FixedPoint< T, P > a) noexcept
	Converts the fixed-point number a to it's negative representation.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::operator+ (const FixedPoint< T, P > a) noexcept
	Converts the fixed-point number a to it's negative representation.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::operator+ (const FixedPoint< T, P > a, const typename FixedPoint< T, P >::Self b) noexcept
	Add two fixed-point numbers a and b.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::operator- (const FixedPoint< T, P > a, const typename FixedPoint< T, P >::Self b) noexcept
	Subtract two fixed-point numbers a and b.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::operator* (const FixedPoint< T, P > x, const typename FixedPoint< T, P >::Self y) noexcept
	Multiply two fixed-point numbers a and b.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::operator/ (const FixedPoint< T, P > x, const typename FixedPoint< T, P >::Self y) noexcept
	Divide two fixed-point numbers a and b.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P > &	Math::operator+= (FixedPoint< T, P > &a, const typename FixedPoint< T, P >::Self b) noexcept
	Add two fixed-point numbers a and b and assigns the resulting value into a.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P > &	Math::operator++ (FixedPoint< T, P > &a) noexcept
	Increment the fixed-point value by adding 1.0 to it.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::operator++ (FixedPoint< T, P > &a, int) noexcept
	Increment the fixed-point value by adding 1.0 to it.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P > &	Math::operator-= (FixedPoint< T, P > &a, const typename FixedPoint< T, P >::Self b) noexcept
	Subtract two fixed-point numbers a and b and assigns the resulting value into a.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P > &	Math::operator-- (FixedPoint< T, P > &a) noexcept
	Decrement the fixed-point value by subtracting 1.0 from it.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::operator-- (FixedPoint< T, P > &a, int) noexcept
	Decrement the fixed-point value by subtracting 1.0 from it.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P > &	Math::operator*= (FixedPoint< T, P > &a, const typename FixedPoint< T, P >::Self b) noexcept
	Multiply two fixed-point numbers a and b and assigns the resulting value into a.
template<typename T , unsigned int P>
constexpr bool	Math::operator== (const FixedPoint< T, P > a, const typename FixedPoint< T, P >::Self b) noexcept
	Compares two fixed-pointer numbers for equality.
template<typename T , unsigned int P>
constexpr bool	Math::operator!= (const FixedPoint< T, P > a, const typename FixedPoint< T, P >::Self b) noexcept
	Compares two fixed-pointer numbers for inequality.
template<typename T , unsigned int P>
constexpr bool	Math::operator< (const FixedPoint< T, P > a, const typename FixedPoint< T, P >::Self b) noexcept
	Compares two fixed-pointer numbers.
template<typename T , unsigned int P>
constexpr bool	Math::operator< (const FixedPoint< T, P > a, double b) noexcept
	Compares two fixed-pointer numbers.
template<typename T , unsigned int P>
constexpr bool	Math::operator<= (const FixedPoint< T, P > a, const typename FixedPoint< T, P >::Self b) noexcept
	Compares two fixed-pointer numbers.
template<typename T , unsigned int P>
constexpr bool	Math::operator<= (const FixedPoint< T, P > a, double b) noexcept
	Compares two fixed-pointer numbers.
template<typename T , unsigned int P>
constexpr bool	Math::operator> (const FixedPoint< T, P > a, const typename FixedPoint< T, P >::Self b) noexcept
	Compares two fixed-pointer numbers.
template<typename T , unsigned int P>
constexpr bool	Math::operator> (const FixedPoint< T, P > a, double b) noexcept
	Compares two fixed-pointer numbers.
template<typename T , unsigned int P>
constexpr bool	Math::operator>= (const FixedPoint< T, P > a, const typename FixedPoint< T, P >::Self b) noexcept
	Compares two fixed-pointer numbers.
template<typename T , unsigned int P>
constexpr bool	Math::operator>= (const FixedPoint< T, P > a, double b) noexcept
	Compares two fixed-pointer numbers.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::abs (const FixedPoint< T, P > &x)
	Returns the absolute value of a fixed-point value.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::frac (const FixedPoint< T, P > &x)
	Returns the fractional portion of a fixed-point value.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::sign (const FixedPoint< T, P > &x)
	Returns sign of scalar a fixed-point value.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::floor (const FixedPoint< T, P > &x)
	Returns largest integer not greater than a fixed-point value.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::ceil (const FixedPoint< T, P > &x)
	Returns smallest integer not less than a fixed-point value.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::round (const FixedPoint< T, P > &x)
	Returns the rounded value a fixed-point value.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::sqrt (const FixedPoint< T, P > &x)
	Returns square root of a fixed-point value.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::acos (FixedPoint< T, P > x)
	Returns arccosine of a fixed-point value.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::asin (FixedPoint< T, P > x)
	Returns arcsine of a fixed-point value.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::atan2 (const FixedPoint< T, P > &y, const FixedPoint< T, P > &x)
	Returns arctangent of a fixed-point value.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::atan (const FixedPoint< T, P > &x)
	Returns arctangent of a fixed-point value.
template<typename B , unsigned int F>
constexpr FixedPoint< B, F >	Math::fmod (FixedPoint< B, F > x, FixedPoint< B, F > y) noexcept
template<typename B , unsigned int F>
FixedPoint< B, F >	Math::sin (FixedPoint< B, F > x) noexcept
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::cos (const FixedPoint< T, P > &x)
	Returns cosine of a fixed-point value.
template<typename T , unsigned int P>
constexpr FixedPoint< T, P >	Math::tan (const FixedPoint< T, P > &x)
	Returns tangent of a fixed-point value. Returns the tangent of a in radians.
constexpr FixedPoint< Int64, sizeof(Int64) *8 - std::numeric_limits< double >::digits >	Math::operator""_fp (const long double v)
	Creates a new fixed-point number from an literal floating-point value.