TBCI Numerical high perf. C++ Library: constants.h File Reference

TBCI Numerical high perf. C++ Library 2.8.0

defines some mathematical and physical constants More...

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Macros
#define	ALIGN(x)
#define	HUGEVAL 1E38
#define	MINVAL 1E-38

Variables
const long double	Pi = 3.1415926535897932384626433832795028841968
const double	pi = Pi
	$\pi$
const double	PI = Pi
const double	pi2 = pi * 2.0
	$2\pi$
const double	c_0 = 299792458
	[m/s]. Speed of light (vacuum).
const double	e_0 = 1.602189e-19
	[As]. Elementary charge.
const double	m_e = 9.10953e-31
	[kg]. Rest mass of an electron.
const double	epsilon_0 = 8.85418781762039e-12
	$\epsilon_0$ [AS/Vm]. Dielectricity of vacuum.
const double	mu_0 = 4pi1.0e-7
	$\mu_0$ [Vs/Am]. Permeability of vacuum.
const double	Z_0 = 376.73031346177
	[ $\Omega$ ] Waveimpedance of vacuum.
const double	k_B = 1.38066e-23
	[J/K]. Boltzmann constant.
const long double	LN_2 = .6931471805599453094172321214581765680755
	$\ln(2)$ . Natural logarithm of 2.
const double	E1 = 2.718281828459045235360287471352662498
	. Exponential base.
const double	amu = 1.66055e-27
	[kg]. Atomic mass unit. (1/12 of the mass of 12C)
const double	Ar_mass = 39.948*amu
	$m_{Ar}$ [kg]. Rest mass of an Argon atom.
const double	Planck = 6.626176e-34
	[Js]. Planck's constant.
const double	Planck_bar = Planck/(2*pi)
	$\hbar$ [Js]. Planck's bar constant.
const double	Avogadro = 6.02205e+23
	[1/mol]. Number of particles in a mol.
const double	Grav = 6.673e-11
	[N/kg^2]. Gravitational constant.
const long double	SQRT2 = 1.41421356237309504880168872420969807857
	$\sqrt{2}$ . Square root of 2.

Detailed Description

defines some mathematical and physical constants

Definition in file constants.h.

Macro Definition Documentation

◆ ALIGN

#define ALIGN ( x )

Definition at line 19 of file constants.h.

◆ HUGEVAL

#define HUGEVAL 1E38

Definition at line 23 of file constants.h.

◆ MINVAL

#define MINVAL 1E-38

Definition at line 24 of file constants.h.

Variable Documentation

◆ amu

const double amu = 1.66055e-27

$amu$ [kg]. Atomic mass unit. (1/12 of the mass of 12C)

Definition at line 74 of file constants.h.

◆ Ar_mass

const double Ar_mass = 39.948*amu

$m_{Ar}$ [kg]. Rest mass of an Argon atom.

Definition at line 77 of file constants.h.

◆ Avogadro

const double Avogadro = 6.02205e+23

$N_A$ [1/mol]. Number of particles in a mol.

Definition at line 86 of file constants.h.

◆ c_0

const double c_0 = 299792458

$c_0$ [m/s]. Speed of light (vacuum).

Definition at line 47 of file constants.h.

◆ E1

const double E1 = 2.718281828459045235360287471352662498

$e$ . Exponential base.

Definition at line 71 of file constants.h.

Referenced by fact().

◆ e_0

const double e_0 = 1.602189e-19

$e_0$ [As]. Elementary charge.

Definition at line 50 of file constants.h.

◆ epsilon_0

const double epsilon_0 = 8.85418781762039e-12

$\epsilon_0$ [AS/Vm]. Dielectricity of vacuum.

Definition at line 56 of file constants.h.

◆ Grav

const double Grav = 6.673e-11

$G$ [N/kg^2]. Gravitational constant.

Definition at line 89 of file constants.h.

◆ k_B

const double k_B = 1.38066e-23

$k_B$ [J/K]. Boltzmann constant.

Definition at line 65 of file constants.h.

◆ LN_2

const long double LN_2 = .6931471805599453094172321214581765680755

$\ln(2)$ . Natural logarithm of 2.

Definition at line 68 of file constants.h.

◆ m_e

const double m_e = 9.10953e-31

$m_e$ [kg]. Rest mass of an electron.

Definition at line 53 of file constants.h.

◆ mu_0

const double mu_0 = 4*pi*1.0e-7

$\mu_0$ [Vs/Am]. Permeability of vacuum.

Definition at line 59 of file constants.h.

◆ PI

const double PI = Pi

Definition at line 40 of file constants.h.

◆ Pi

const long double Pi = 3.1415926535897932384626433832795028841968

Definition at line 36 of file constants.h.

◆ pi

const double pi = Pi

$\pi$

Definition at line 38 of file constants.h.

Referenced by besselh1(), besselh1(), besselh2(), besselh2(), besseli(), besseli(), besselj(), besselj(), bessely(), bessely(), cgamma_(), erfc3(), expi(), fact(), HypergeometricU(), HypergeometricU(), cplx< T >::theta(), zacai_(), zacon_(), zasyi_(), zbesi_(), zbknu_(), zunhj_(), zunk1_(), and zunk2_().

◆ pi2

const double pi2 = pi * 2.0

$2\pi$

Definition at line 44 of file constants.h.

◆ Planck

const double Planck = 6.626176e-34

$h$ [Js]. Planck's constant.

Definition at line 80 of file constants.h.

◆ Planck_bar

const double Planck_bar = Planck/(2*pi)

$\hbar$ [Js]. Planck's bar constant.

Definition at line 83 of file constants.h.

◆ SQRT2

const long double SQRT2 = 1.41421356237309504880168872420969807857

$\sqrt{2}$ . Square root of 2.

Definition at line 92 of file constants.h.

◆ Z_0

const double Z_0 = 376.73031346177

$Z_0$ [ $\Omega$ ] Waveimpedance of vacuum.

Definition at line 62 of file constants.h.