#include <fastmm/core/fixed_point.hpp>

Public Types
using	rep_type = std::int64_t

Public Member Functions
constexpr	Fixed () noexcept=default

double	to_bps () const noexcept
	Ratio only. Diagnostics only.

std::size_t	to_decimal (char *buf) const noexcept
	Formats into buf (>= kMaxDecimalChars), trims trailing zeros ("1.5", "100", "0.00000001").

double	to_double () const noexcept

constexpr bool	is_zero () const noexcept

constexpr bool	is_positive () const noexcept

constexpr bool	is_negative () const noexcept

constexpr Fixed	abs () const noexcept

constexpr std::int64_t	units () const noexcept

constexpr auto	operator<=> (const Fixed &) const noexcept=default

constexpr Fixed	operator- () const noexcept

constexpr Fixed &	operator+= (Fixed o) noexcept

constexpr Fixed &	operator-= (Fixed o) noexcept

constexpr Fixed &	operator*= (std::int64_t k) noexcept

Static Public Member Functions
static constexpr Fixed	from_raw (std::int64_t r) noexcept

static constexpr Fixed	from_int (std::int64_t units) noexcept
	Whole units, e.g. from_int(100) == 100.00000000.

static constexpr Fixed	zero () noexcept

static constexpr Fixed	max () noexcept

static constexpr Fixed	min () noexcept

static constexpr std::optional< Fixed >	from_decimal (std::string_view s) noexcept
	Exact parse of "[+-]digits[.digits]".

static constexpr std::optional< Fixed >	parse (std::string_view s) noexcept
	Exact parse of a decimal in plain or exponent notation: "0.1", "2e-05", "1.5E3", "-3".

static Fixed	from_bps (double bps) noexcept
	Ratio only.

static std::optional< Fixed >	from_bps_checked (double bps) noexcept

static Fixed	from_double (double d) noexcept
	Rounds to the 1e-8 grid.

static std::optional< Fixed >	from_double_checked (double d) noexcept
	nullopt for NaN, +-inf and anything outside the representable range; two compares more.

Public Attributes
std::int64_t	raw = 0

Friends
constexpr Fixed	operator+ (Fixed a, Fixed b) noexcept

constexpr Fixed	operator- (Fixed a, Fixed b) noexcept

constexpr Fixed	operator* (Fixed a, std::int64_t k) noexcept

constexpr Fixed	operator* (std::int64_t k, Fixed a) noexcept

constexpr Fixed	operator/ (Fixed a, std::int64_t k) noexcept

constexpr std::int64_t	operator/ (Fixed a, Fixed b) noexcept
	Number of whole ticks in a (truncating); result is a plain integer.

constexpr Fixed	operator% (Fixed a, Fixed b) noexcept

Member Typedef Documentation

◆ rep_type

template<class Tag >

using fastmm::Fixed< Tag >::rep_type = std::int64_t

Constructor & Destructor Documentation

◆ Fixed()

template<class Tag >

constexpr fastmm::Fixed< Tag >::Fixed ( )

constexprdefaultnoexcept

Member Function Documentation

◆ from_raw()

template<class Tag >

static constexpr Fixed fastmm::Fixed< Tag >::from_raw ( std::int64_t r )

inlinestaticconstexprnoexcept

◆ from_int()

template<class Tag >

static constexpr Fixed fastmm::Fixed< Tag >::from_int ( std::int64_t units )

inlinestaticconstexprnoexcept

Whole units, e.g. from_int(100) == 100.00000000.

◆ zero()

template<class Tag >

static constexpr Fixed fastmm::Fixed< Tag >::zero ( )

inlinestaticconstexprnoexcept

◆ max()

template<class Tag >

static constexpr Fixed fastmm::Fixed< Tag >::max ( )

inlinestaticconstexprnoexcept

◆ min()

template<class Tag >

static constexpr Fixed fastmm::Fixed< Tag >::min ( )

inlinestaticconstexprnoexcept

◆ from_decimal()

template<class Tag >

static constexpr std::optional< Fixed > fastmm::Fixed< Tag >::from_decimal ( std::string_view s )

inlinestaticconstexprnoexcept

Exact parse of "[+-]digits[.digits]".

Rejects: empty, >8 significant fraction digits, integer overflow, exponents, whitespace. Trailing zeros beyond 8 places are accepted.

< 92233720368

< s[i] == '.'

< would lose precision

◆ parse()

template<class Tag >

static constexpr std::optional< Fixed > fastmm::Fixed< Tag >::parse ( std::string_view s )

inlinestaticconstexprnoexcept

Exact parse of a decimal in plain or exponent notation: "0.1", "2e-05", "1.5E3", "-3".

Used for configuration values (TOML floats arrive formatted by fmt, Python floats by repr). Rejects a value only if more than 8 decimals remain after applying the exponent, or it is out of range. Venue strings use the stricter from_decimal.

◆ from_bps()

template<class Tag >

static Fixed fastmm::Fixed< Tag >::from_bps ( double bps )

inlinestaticnoexcept

Ratio only.

Startup only (double): Ratio::from_bps(2.5) == 2.5 bps, rounded to 0.0001 bp. Saturates like from_double; from_bps_checked() reports the loss instead.

◆ from_bps_checked()

template<class Tag >

static std::optional< Fixed > fastmm::Fixed< Tag >::from_bps_checked ( double bps )

inlinestaticnoexcept

◆ to_bps()

template<class Tag >

double fastmm::Fixed< Tag >::to_bps ( ) const

inlinenoexcept

Ratio only. Diagnostics only.

◆ to_decimal()

template<class Tag >

std::size_t fastmm::Fixed< Tag >::to_decimal ( char * buf ) const

inlinenoexcept

Formats into buf (>= kMaxDecimalChars), trims trailing zeros ("1.5", "100", "0.00000001").

Returns the number of chars written; no NUL is appended.

integer part

◆ from_double()

template<class Tag >

static Fixed fastmm::Fixed< Tag >::from_double ( double d )

inlinestaticnoexcept

Rounds to the 1e-8 grid.

NaN becomes zero and a value outside +-92,233,720,368.54775807 saturates at max()/min(); the unchecked cast this replaced made both INT64_MIN.

◆ from_double_checked()

template<class Tag >

static std::optional< Fixed > fastmm::Fixed< Tag >::from_double_checked ( double d )

inlinestaticnoexcept

nullopt for NaN, +-inf and anything outside the representable range; two compares more.

◆ to_double()

template<class Tag >

double fastmm::Fixed< Tag >::to_double ( ) const

inlinenoexcept

◆ is_zero()

template<class Tag >

constexpr bool fastmm::Fixed< Tag >::is_zero ( ) const

inlineconstexprnoexcept

◆ is_positive()

template<class Tag >

constexpr bool fastmm::Fixed< Tag >::is_positive ( ) const

inlineconstexprnoexcept

◆ is_negative()

template<class Tag >

constexpr bool fastmm::Fixed< Tag >::is_negative ( ) const

inlineconstexprnoexcept

◆ abs()

template<class Tag >

constexpr Fixed fastmm::Fixed< Tag >::abs ( ) const

inlineconstexprnoexcept

◆ units()

template<class Tag >

constexpr std::int64_t fastmm::Fixed< Tag >::units ( ) const

inlineconstexprnoexcept

◆ operator<=>()

template<class Tag >

constexpr auto fastmm::Fixed< Tag >::operator<=> ( const Fixed< Tag > & ) const

constexprdefaultnoexcept

◆ operator-()

template<class Tag >

constexpr Fixed fastmm::Fixed< Tag >::operator- ( ) const

inlineconstexprnoexcept

◆ operator+=()

template<class Tag >

constexpr Fixed & fastmm::Fixed< Tag >::operator+= ( Fixed< Tag > o )

inlineconstexprnoexcept

◆ operator-=()

template<class Tag >

constexpr Fixed & fastmm::Fixed< Tag >::operator-= ( Fixed< Tag > o )

inlineconstexprnoexcept

◆ operator*=()

template<class Tag >

constexpr Fixed & fastmm::Fixed< Tag >::operator*= ( std::int64_t k )

inlineconstexprnoexcept

Friends And Related Symbol Documentation

◆ operator+

template<class Tag >

constexpr Fixed operator+	(	Fixed< Tag >	a,
		Fixed< Tag >	b
	)

friend

◆ operator-

template<class Tag >

constexpr Fixed operator-	(	Fixed< Tag >	a,
		Fixed< Tag >	b
	)

friend

◆ operator* [1/2]

template<class Tag >

constexpr Fixed operator*	(	Fixed< Tag >	a,
		std::int64_t	k
	)

friend

◆ operator* [2/2]

template<class Tag >

constexpr Fixed operator*	(	std::int64_t	k,
		Fixed< Tag >	a
	)

friend

◆ operator/ [1/2]

template<class Tag >

constexpr Fixed operator/	(	Fixed< Tag >	a,
		std::int64_t	k
	)

friend

◆ operator/ [2/2]

template<class Tag >

constexpr std::int64_t operator/	(	Fixed< Tag >	a,
		Fixed< Tag >	b
	)

friend

Number of whole ticks in a (truncating); result is a plain integer.

◆ operator%

template<class Tag >

constexpr Fixed operator%	(	Fixed< Tag >	a,
		Fixed< Tag >	b
	)

friend

Member Data Documentation

◆ raw

template<class Tag >

std::int64_t fastmm::Fixed< Tag >::raw = 0

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Friends

Member Typedef Documentation

◆ rep_type

Constructor & Destructor Documentation

◆ Fixed()

Member Function Documentation

◆ from_raw()

◆ from_int()

◆ zero()

◆ max()

◆ min()

◆ from_decimal()

◆ parse()

◆ from_bps()

◆ from_bps_checked()

◆ to_bps()

◆ to_decimal()

◆ from_double()

◆ from_double_checked()

◆ to_double()

◆ is_zero()

◆ is_positive()

◆ is_negative()

◆ abs()

◆ units()

◆ operator<=>()

◆ operator-()

◆ operator+=()

◆ operator-=()

◆ operator*=()

Friends And Related Symbol Documentation

◆ operator+

◆ operator-

◆ operator* [1/2]

◆ operator* [2/2]

◆ operator/ [1/2]

◆ operator/ [2/2]

◆ operator%

Member Data Documentation

◆ raw