qlibs::ffmath::numbers Struct Reference

Provides several mathematical constants as single-precision floating-point numbers. More...

#include <ffmath.hpp>

Static Public Member Functions
static constexpr float	e ()
	The base of natural logarithms ( e ) given as a single-precision floating-point number.
static constexpr float	log2e ()
	The base 2 logarithm of e ( log_2 e ) given as a single-precision floating-point number.
static constexpr float	log10e ()
	The base 10 logarithm of e ( log_10 e ) given as a single-precision floating-point number.
static constexpr float	ln2 ()
	The natural logarithm of 2 ( ln 2 ) given as a single-precision floating-point number.
static constexpr float	ln10 ()
	The natural logarithm of 10 ( ln 10 ) given as a single-precision floating-point number.
static constexpr float	pi ()
	The circumference of a circle with diameter 1, ( π ) given as a single-precision floating-point number.
static constexpr float	inv_pi ()
	The inverse of π ( 1/π ) given as a single-precision floating-point number.
static constexpr float	inv_sqrtpi ()
	The inverse of the square root of π ( 1/√π ) given as a single-precision floating-point number.
static constexpr float	sqrt2 ()
	The square root of 2 ( √2 ) given as a single-precision floating-point number.
static constexpr float	sqrt3 ()
	The square root of 4 ( √4 ) given as a single-precision floating-point number.
static constexpr float	inv_sqrt2 ()
	The inverse of square root of 2 ( 1/√2 ) given as a single-precision floating-point number.
static constexpr float	inv_sqrt3 ()
	The inverse of square root of 2 ( 1/√2 ) given as a single-precision floating-point number.
static constexpr float	egamma ()
	Constant Euler-Mascheroni given as a single-precision floating-point number.
static constexpr float	phi ()
	The golden ratio, (1+√5)/2 given as a single-precision floating-point number.
static constexpr float	twice_pi ()
	Twice circumference of a circle with diameter 1, ( 2π ) given as a single-precision floating-point number.
static constexpr float	half_pi ()
	Half of π ( π/2 ) given as a single-precision floating-point number.
static constexpr float	quarter_pi ()
	A quarter of π ( π/4 ) given as a single-precision floating-point number.
static constexpr float	radian ()
	Radian, value of ( 180/π ) given as a single-precision floating-point number.
static constexpr float	lnpi ()
	The natural logarithm of π ( ln(π) ) given as a single-precision floating-point number.
static constexpr float	ln_sqrt_2pi ()
	The natural logarithm of the square root of 2π ( ln( √2π ) ) given as a single-precision floating-point number.

Detailed Description

Provides several mathematical constants as single-precision floating-point numbers.

Member Function Documentation

e()

static constexpr float qlibs::ffmath::numbers::e ( )

inlinestaticconstexpr

The base of natural logarithms ( e ) given as a single-precision floating-point number.

egamma()

static constexpr float qlibs::ffmath::numbers::egamma ( )

inlinestaticconstexpr

Constant Euler-Mascheroni given as a single-precision floating-point number.

half_pi()

static constexpr float qlibs::ffmath::numbers::half_pi ( )

inlinestaticconstexpr

Half of π ( π/2 ) given as a single-precision floating-point number.

inv_pi()

static constexpr float qlibs::ffmath::numbers::inv_pi ( )

inlinestaticconstexpr

The inverse of π ( 1/π ) given as a single-precision floating-point number.

inv_sqrt2()

static constexpr float qlibs::ffmath::numbers::inv_sqrt2 ( )

inlinestaticconstexpr

The inverse of square root of 2 ( 1/√2 ) given as a single-precision floating-point number.

inv_sqrt3()

static constexpr float qlibs::ffmath::numbers::inv_sqrt3 ( )

inlinestaticconstexpr

The inverse of square root of 2 ( 1/√2 ) given as a single-precision floating-point number.

inv_sqrtpi()

static constexpr float qlibs::ffmath::numbers::inv_sqrtpi ( )

inlinestaticconstexpr

The inverse of the square root of π ( 1/√π ) given as a single-precision floating-point number.

ln10()

static constexpr float qlibs::ffmath::numbers::ln10 ( )

inlinestaticconstexpr

The natural logarithm of 10 ( ln 10 ) given as a single-precision floating-point number.

ln2()

static constexpr float qlibs::ffmath::numbers::ln2 ( )

inlinestaticconstexpr

The natural logarithm of 2 ( ln 2 ) given as a single-precision floating-point number.

ln_sqrt_2pi()

static constexpr float qlibs::ffmath::numbers::ln_sqrt_2pi ( )

inlinestaticconstexpr

The natural logarithm of the square root of 2π ( ln( √2π ) ) given as a single-precision floating-point number.

lnpi()

static constexpr float qlibs::ffmath::numbers::lnpi ( )

inlinestaticconstexpr

The natural logarithm of π ( ln(π) ) given as a single-precision floating-point number.

log10e()

static constexpr float qlibs::ffmath::numbers::log10e ( )

inlinestaticconstexpr

The base 10 logarithm of e ( log_10 e ) given as a single-precision floating-point number.

log2e()

static constexpr float qlibs::ffmath::numbers::log2e ( )

inlinestaticconstexpr

The base 2 logarithm of e ( log_2 e ) given as a single-precision floating-point number.

phi()

static constexpr float qlibs::ffmath::numbers::phi ( )

inlinestaticconstexpr

The golden ratio, (1+√5)/2 given as a single-precision floating-point number.

pi()

static constexpr float qlibs::ffmath::numbers::pi ( )

inlinestaticconstexpr

The circumference of a circle with diameter 1, ( π ) given as a single-precision floating-point number.

quarter_pi()

static constexpr float qlibs::ffmath::numbers::quarter_pi ( )

inlinestaticconstexpr

A quarter of π ( π/4 ) given as a single-precision floating-point number.

radian()

static constexpr float qlibs::ffmath::numbers::radian ( )

inlinestaticconstexpr

Radian, value of ( 180/π ) given as a single-precision floating-point number.

sqrt2()

static constexpr float qlibs::ffmath::numbers::sqrt2 ( )

inlinestaticconstexpr

The square root of 2 ( √2 ) given as a single-precision floating-point number.

sqrt3()

static constexpr float qlibs::ffmath::numbers::sqrt3 ( )

inlinestaticconstexpr

The square root of 4 ( √4 ) given as a single-precision floating-point number.

twice_pi()

static constexpr float qlibs::ffmath::numbers::twice_pi ( )

inlinestaticconstexpr

Twice circumference of a circle with diameter 1, ( 2π ) given as a single-precision floating-point number.