#include "functionimplementation.hpp"
#include <cstdlib>
#include <cmath>
#include <fstream>
#include <string>
#include <iostream>
#include <locale>
#include <limits>
#include <ios>
#include <iomanip>
#include <numeric>
#include <ctime>
#include <csignal>
#include <boost/math/common_factor.hpp>
#include <gsl/gsl_sf.h>
#include <noise/noise.h>
#include "student_t.hpp"
#include "../datamanagement/memorymanager.hpp"
#include "../utils/tools.hpp"
#include "../version.h"

Include dependency graph for functionimplementation.cpp:

Macros
#define	_USE_MATH_DEFINES

Functions
value_type	parser_Mega (const value_type &a_fVal)
	Conversion function for 1M. More...

value_type	parser_Milli (const value_type &a_fVal)
	Conversion function for 1m. More...

value_type	parser_Giga (const value_type &a_fVal)
	Conversion function for 1G. More...

value_type	parser_Kilo (const value_type &a_fVal)
	Conversion function for 1k. More...

value_type	parser_Micro (const value_type &a_fVal)
	Conversion function for 1mu. More...

value_type	parser_Nano (const value_type &a_fVal)
	Conversion function for 1n. More...

value_type	parser_Not (const value_type &v)
	Function representing the logical NOT operator. More...

value_type	parser_Ignore (const value_type &v)
	Identity function. Used for ignoring functions and parameters in special cases. More...

value_type	parser_ElectronVolt (const value_type &v)
	Conversion function for 1eV. More...

value_type	parser_Fermi (const value_type &v)
	Conversion function for 1fm. More...

value_type	parser_Angstroem (const value_type &v)
	Conversion function for 1A. More...

value_type	parser_Barn (const value_type &v)
	Conversion function for 1bn. More...

value_type	parser_Torr (const value_type &v)
	Conversion function for 1Torr/1mmhg. More...

value_type	parser_AstroUnit (const value_type &v)
	Conversion function for 1AU. More...

value_type	parser_Lightyear (const value_type &v)
	Conversion function for 1ly. More...

value_type	parser_Parsec (const value_type &v)
	Conversion function for 1pc. More...

value_type	parser_Mile (const value_type &v)
	Conversion function for 1mi. More...

value_type	parser_Yard (const value_type &v)
	Conversion function for 1yd. More...

value_type	parser_Foot (const value_type &v)
	Conversion function for 1ft. More...

value_type	parser_Inch (const value_type &v)
	Conversion function for 1in. More...

value_type	parser_Calorie (const value_type &v)
	Conversion function for 1cal. More...

value_type	parser_PSI (const value_type &v)
	Conversion function for 1psi. More...

value_type	parser_Knoten (const value_type &v)
	Conversion function for 1kn. More...

value_type	parser_liter (const value_type &v)
	Conversion function for 1l. More...

value_type	parser_kmh (const value_type &v)
	Conversion function for 1kmh. More...

value_type	parser_mph (const value_type &v)
	Conversion function for 1mph. More...

value_type	parser_Celsius (const value_type &v)
	Conversion function for 1�C. More...

value_type	parser_Fahrenheit (const value_type &v)
	Conversion function for 1�F. More...

value_type	parser_Curie (const value_type &v)
	Conversion function for 1C. More...

value_type	parser_Gauss (const value_type &v)
	Conversion function for 1Gs. More...

value_type	parser_Poise (const value_type &v)
	Conversion function for 1Ps. More...

value_type	parser_mol (const value_type &v)
	Conversion function for 1mol. More...

value_type	parser_imaginaryUnit (const value_type &v)
	Multiplies a number with the imaginary unit. More...

value_type	parser_real (const value_type &v)
	Extracts the real part of a complex number. More...

value_type	parser_imag (const value_type &v)
	Extracts the imaginary part of a complex number. More...

value_type	parser_rect2polar (const value_type &v)
	Converts a rectangular representation into polar representation and returns it as a new complex number. More...

value_type	parser_polar2rect (const value_type &v)
	Converts a polar representation into a rectangular representation and returns it as a new complex number. More...

value_type	parser_conj (const value_type &v)
	Calculates the complex conjugate number of the passed complex number. More...

value_type	parser_complex (const value_type &re, const value_type &im)
	Construct a complex number from two real numbers. More...

value_type	parser_Faculty (const value_type &v)
	Function representing the faculty of any natural number. More...

value_type	parser_doubleFaculty (const value_type &v)
	Function representing the double faculty of any natural number. More...

value_type	parser_Binom (const value_type &v1, const value_type &v2)
	Function representing the binomial coefficient. More...

value_type	parser_Num (const value_type *vElements, int nElements)
	This function returns the number of valid elements in its array. More...

value_type	parser_Cnt (const value_type *vElements, int nElements)
	This functioon simply returns the number of elements in its array (even the invalid ones). More...

value_type	parser_Std (const value_type *vElements, int nElements)
	This function calculates the standard deviation of the elements in the passed array. More...

value_type	parser_product (const value_type *vElements, int nElements)
	This function calculates the product of all elements in the passed array. More...

value_type	parser_Norm (const value_type *vElements, int nElements)
	This function calculates the vector norm of the elements in the passed array. More...

value_type	parser_Med (const value_type *vElements, int nElements)
	This function calculates the median of the elements in the passed array. More...

value_type	parser_Pct (const value_type *vElements, int nElements)
	This function calculates the selected percentile of the passed array. More...

value_type	parser_compare (const value_type *vElements, int nElements)
	This function searches for elements of a specified type in the passed array. More...

value_type	parser_and (const value_type *vElements, int nElements)
	This function calculates the logical AND operation between all elements in the passed array. More...

value_type	parser_or (const value_type *vElements, int nElements)
	This function calculates the logical OR operation between all elements in the passed array. More...

value_type	parser_xor (const value_type *vElements, int nElements)
	This function calculates the logical XOR operation between all elements in the passed array. More...

value_type	parser_polynomial (const value_type *vElements, int nElements)
	This function implements an abstract polynomial of an arbitrary order. More...

value_type	parser_perlin (const value_type *vElements, int nElements)
	This function implements the perlin noise function. More...

value_type	parser_Sum (const value_type *vElements, int nElements)
	This function summarizes all elements in the passed array. More...

value_type	parser_Avg (const value_type *vElements, int nElements)
	This function calculates the average of all elements in passed array. More...

value_type	parser_Min (const value_type *vElements, int nElements)
	This function calculates the minimal value of all elements in the passed array. More...

value_type	parser_Max (const value_type *vElements, int nElements)
	This function calculates the maximal value of all elements in the passed array. More...

value_type	parser_MinPos (const value_type *vElements, int nElements)
	This function returns the index of the (first) minimal value in the array. More...

value_type	parser_MaxPos (const value_type *vElements, int nElements)
	This function returns the index of the (first) maximal value in the array. More...

value_type	parser_round (const value_type &vToRound, const value_type &vDecimals)
	This function rounds the passed value to the selected number of decimals. More...

value_type	parser_toRadian (const value_type &v)
	This function converts degree to radian. More...

value_type	parser_toDegree (const value_type &v)
	This function converts radian to degree. More...

value_type	parser_SphericalHarmonics (const value_type &vl, const value_type &vm, const value_type &theta, const value_type &phi)
	This function calculates the real part of the selected spherical harmonics. More...

value_type	parser_imSphericalHarmonics (const value_type &vl, const value_type &vm, const value_type &theta, const value_type &phi)
	This function calculates the imaginary part of the selected spherical harmonics. More...

value_type	parser_Zernike (const value_type &vn, const value_type &vm, const value_type &rho, const value_type &phi)
	This function calculates the selected Zernike polynomials. More...

value_type	parser_ZernikeRadial (int n, int m, const value_type &rho)
	This function calculates the radial part of the Zernike polynomials. More...

value_type	parser_SinusCardinalis (const value_type &v)
	This function calculates the cardinal sine of x. More...

value_type	parser_SphericalBessel (const value_type &vn, const value_type &vc)
	This function calculates the spherical bessel function. More...

value_type	parser_SphericalNeumann (const value_type &vn, const value_type &vc)
	This function calculates the spherical von Neumann function. More...

value_type	parser_LegendrePolynomial (const value_type &vn, const value_type &v)
	This function calculates the Legendre polynomials of the selected order. More...

value_type	parser_AssociatedLegendrePolynomial (const value_type &vl, const value_type &vm, const value_type &v)
	This function calculates the associated Legendre polynomials of the selected order. More...

value_type	parser_LaguerrePolynomial (const value_type &vn, const value_type &v)
	This function calculates the Laguerre polynomials of the selected order. More...

value_type	parser_AssociatedLaguerrePolynomial (const value_type &vn, const value_type &vk, const value_type &v)
	This function calculates the associated Laguerre polynomials of the selected order. More...

value_type	parser_HermitePolynomial (const value_type &vn, const value_type &v)
	This function calculates the Hermite polynomials of the selected order. More...

value_type	parser_BetheWeizsaecker (const value_type &vN, const value_type &vZ)
	This function calculates the nucleic core binding energy according the Bethe Weizs�cker formula. More...

value_type	parser_Heaviside (const value_type &v)
	This function represents the Heaviside (theta) function. More...

value_type	parser_phi (const value_type &x, const value_type &y)
	This function calculates the angle of a vector and the x axis in the x-y plane (the azimuthal angle phi). More...

value_type	parser_theta (const value_type &x, const value_type &y, const value_type &z)
	This function calculates the angle of a vector and the z axis in any z-r plane (the polar angle theta). More...

value_type	parser_Random (const value_type &vRandMin, const value_type &vRandMax)
	This function returns a uniformly distributed random number between both boundaries. More...

value_type	parser_gRandom (const value_type &vRandAvg, const value_type &vRandstd)
	This function returns a gaussian distributed random number using the passed values as mean and standard deviation. More...

value_type	parser_erf (const value_type &x)
	This function calculates the gaussian error function. More...

value_type	parser_erfc (const value_type &x)
	This function calculates the complementary gaussian error function. More...

value_type	parser_gamma (const value_type &x)
	This function calculates the riemannian Gamma function. More...

value_type	parser_AiryA (const value_type &x)
	This function calculates the Airy function Ai(x). More...

value_type	parser_AiryB (const value_type &x)
	This function calculates the Airy function Bi(x). More...

value_type	parser_RegularCylBessel (const value_type &n, const value_type &x)
	This function calculates the regulary bessel function. More...

value_type	parser_IrregularCylBessel (const value_type &n, const value_type &x)
	This function calculates the irregulary bessel (von Neumann) function. More...

value_type	parser_EllipticF (const value_type &phic, const value_type &kc)
	This function returns the value of the elliptic intergal F(phi,k). More...

value_type	parser_EllipticE (const value_type &phic, const value_type &kc)
	This function returns the value of the elliptic intergal E(phi,k). More...

value_type	parser_EllipticP (const value_type &phi, const value_type &n, const value_type &k)
	This function returns the value of the elliptic intergal Pi(phi,n,k). More...

value_type	parser_EllipticD (const value_type &phi, const value_type &n, const value_type &k)
	This function returns the value of the elliptic intergal D(phi,n,k). More...

value_type	parser_beta (const value_type &a, const value_type &b)
	This function returns the value of the Beta function. More...

static double	ek (int k, int N)
	Calculates the sum of binomial coefficients from k to N. More...

static std::complex< double >	complex_zeta (const std::complex< double > &s)
	Calculates the complex-valued Riemannian Zeta function for complex numbers with Re(s) >= 0. More...

value_type	parser_zeta (const value_type &s)
	This function returns the value of the Zeta function. More...

value_type	parser_clausen (const value_type &x)
	This function returns the value of the Clausen function. More...

value_type	parser_digamma (const value_type &x)
	This function returns the value of the Digamma function. More...

value_type	parser_polygamma (const value_type &n, const value_type &x)
	This function returns the value if the Polygamma function. More...

value_type	parser_dilogarithm (const value_type &x)
	This function returns the value of the Dilogarithm Li2(x). More...

value_type	parser_floor (const value_type &x)
	This is the floor function. More...

value_type	parser_roof (const value_type &x)
	This is the roof (ceil) function. More...

value_type	parser_rect (const value_type &x, const value_type &x0, const value_type &x1)
	This is the rect function. More...

value_type	parser_ivl (const value_type &x, const value_type &x0, const value_type &x1, const value_type &lborder, const value_type &rborder)
	This function describes an interval with borders of a selected type (including, excluding, ignore). More...

value_type	parser_studentFactor (const value_type &vFreedoms, const value_type &vAlpha)
	This function returns the Student factor s_t for the selected degrees of freedom and a confidence interval. More...

value_type	parser_gcd (const value_type &n, const value_type &k)
	This function returns the greatest common divisor of both argments. More...

value_type	parser_lcm (const value_type &n, const value_type &k)
	This function returns the least common multiple of both arguments. More...

value_type	parser_Mod (const value_type &v1, const value_type &v2)
	This function represents the Modulo operator. More...

value_type	parser_XOR (const value_type &v1, const value_type &v2)
	This function represent the XOR operator. More...

value_type	parser_BinOR (const value_type &v1, const value_type &v2)
	This function represents the binary OR operator. More...

value_type	parser_BinAND (const value_type &v1, const value_type &v2)
	This function represents the binary AND operator. More...

value_type	parser_is_string (const value_type &v)
	This function is a numerical version of the string is_string() function. Used as a fallback. More...

value_type	parser_time ()
	This function returns the current UNIX time. More...

value_type	parser_clock ()
	This function returns the current CPU clock count. More...

value_type	parser_sleep (const value_type &milliseconds)
	Sleeps for the passed amount of milliseconds and returns this number. More...

value_type	parser_log_b (const value_type &b, const value_type &x)
	Calculates the logarithm of x using the base b. More...

value_type	parser_numereversion ()
	Returns the version number of NumeRe as a natural number. More...

value_type	parser_date (const value_type &vTime, const value_type &vType)
	This function converts UNIX time values into a selected part of a time stamp. More...

value_type	parser_weeknum (const value_type &vTime)
	This function returns the calendar week associated with the passed time value. More...

value_type	parser_isnan (const value_type &v)
	Returns, whether the selected value is NaN. More...

value_type	parser_interval (const value_type &v, const value_type &vLeft, const value_type &vRight)
	This function numerically defines a valid value range (the value is set to NaN, if outside of this range). More...

value_type	parser_cot (const value_type &x)
	This function returns the cotangent of the passed value. More...

value_type *	parser_AddVariable (const char_type a_szName, void a_pUserData)
	This function represents the numerical variable factory. New memory is allocated in this function and stored in an internal list managed by the parser. More...

value_type	parser_sec (const value_type &x)
	This function returns the secant of the passed value. More...

value_type	parser_csc (const value_type &x)
	This function returns the cosecant of the passed value. More...

value_type	parser_asec (const value_type &x)
	This function returns the inverse secant of the passed value. More...

value_type	parser_acsc (const value_type &x)
	This function returns the inverse cosecant of the passed value. More...

value_type	parser_sech (const value_type &x)
	This function returns the hyperbolic secant of the passed value. More...

value_type	parser_csch (const value_type &x)
	This function returns the hyperbolic cosecant of the passed value. More...

value_type	parser_asech (const value_type &x)
	This function returns the inverse hyperbolic secant of the passed value. More...

value_type	parser_acsch (const value_type &x)
	This function returns the inverse hyperbolic cosecant of the passed value. More...

Variables
int	nErrorIndices [2] = {-1,-1}

string	sErrorToken = ""

time_t	tTimeZero

volatile sig_atomic_t	exitsignal = 0

Macro Definition Documentation

◆ _USE_MATH_DEFINES

#define _USE_MATH_DEFINES

Definition at line 24 of file functionimplementation.cpp.

Function Documentation

◆ complex_zeta()

static std::complex< double > complex_zeta ( const std::complex< double > & s )

static

Calculates the complex-valued Riemannian Zeta function for complex numbers with Re(s) >= 0.

Parameters

s	const std::complex<double>&

Returns: std::complex<double>

Definition at line 2188 of file functionimplementation.cpp.

References ek(), and intPower().

Referenced by parser_zeta().

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◆ ek()

static double ek	(	int	k,
		int	N
	)

static

Calculates the sum of binomial coefficients from k to N.

Parameters

k	int
N	int

Returns: double

Definition at line 2162 of file functionimplementation.cpp.

References parser_Binom().

Referenced by complex_zeta().

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◆ parser_acsc()

value_type parser_acsc ( const value_type & x )

This function returns the inverse cosecant of the passed value.

Parameters

x	const value_type&

Returns: value_type

Definition at line 2819 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_acsch()

value_type parser_acsch ( const value_type & x )

This function returns the inverse hyperbolic cosecant of the passed value.

Parameters

x	const value_type&

Returns: value_type

Definition at line 2875 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_AddVariable()

value_type * parser_AddVariable	(	const char_type *	a_szName,
		void *	a_pUserData
	)

This function represents the numerical variable factory. New memory is allocated in this function and stored in an internal list managed by the parser.

Parameters

a_szName	const char_type*
a_pUserData	void*

Returns: value_type*

Definition at line 2755 of file functionimplementation.cpp.

Referenced by NumeReKernel::StartUp().

◆ parser_AiryA()

value_type parser_AiryA ( const value_type & x )

This function calculates the Airy function Ai(x).

Parameters

x	const value_type&

Returns: value_type

Definition at line 1928 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_AiryB()

value_type parser_AiryB ( const value_type & x )

This function calculates the Airy function Bi(x).

Parameters

x	const value_type&

Returns: value_type

Definition at line 1942 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_and()

value_type parser_and	(	const value_type *	vElements,
		int	nElements
	)

This function calculates the logical AND operation between all elements in the passed array.

Parameters

vElements	const value_type*
nElements	int

Returns: value_type

Definition at line 997 of file functionimplementation.cpp.

References mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_Angstroem()

value_type parser_Angstroem ( const value_type & v )

Conversion function for 1A.

Parameters

v	const value_type&

Returns: value_type

Definition at line 217 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_asec()

value_type parser_asec ( const value_type & x )

This function returns the inverse secant of the passed value.

Parameters

x	const value_type&

Returns: value_type

Definition at line 2805 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_asech()

value_type parser_asech ( const value_type & x )

This function returns the inverse hyperbolic secant of the passed value.

Parameters

x	const value_type&

Returns: value_type

Definition at line 2861 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_AssociatedLaguerrePolynomial()

value_type parser_AssociatedLaguerrePolynomial	(	const value_type &	vn,
		const value_type &	vk,
		const value_type &	v
	)

This function calculates the associated Laguerre polynomials of the selected order.

Parameters

vn	const value_type&
vk	const value_type&
v	const value_type&

Returns: value_type

Definition at line 1670 of file functionimplementation.cpp.

References intCast(), intPower(), mu::isinf(), mu::isnan(), and parser_Faculty().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_AssociatedLegendrePolynomial()

value_type parser_AssociatedLegendrePolynomial	(	const value_type &	vl,
		const value_type &	vm,
		const value_type &	v
	)

This function calculates the associated Legendre polynomials of the selected order.

Parameters

vl	const value_type&
vm	const value_type&
v	const value_type&

Returns: value_type

Definition at line 1612 of file functionimplementation.cpp.

References intCast(), intPower(), mu::isinf(), mu::isnan(), parser_AssociatedLegendrePolynomial(), parser_doubleFaculty(), parser_Faculty(), and parser_LegendrePolynomial().

Referenced by NumeReKernel::defineFunctions(), parser_AssociatedLegendrePolynomial(), parser_imSphericalHarmonics(), and parser_SphericalHarmonics().

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◆ parser_AstroUnit()

value_type parser_AstroUnit ( const value_type & v )

Conversion function for 1AU.

Parameters

v	const value_type&

Returns: value_type

Definition at line 262 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_Avg()

value_type parser_Avg	(	const value_type *	vElements,
		int	nElements
	)

This function calculates the average of all elements in passed array.

Parameters

vElements	const value_type*
nElements	int

Returns: value_type

Definition at line 1157 of file functionimplementation.cpp.

References parser_Num(), and parser_Sum().

Referenced by mu::Parser::Avg(), and parser_Std().

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◆ parser_Barn()

value_type parser_Barn ( const value_type & v )

Conversion function for 1bn.

Parameters

v	const value_type&

Returns: value_type

Definition at line 232 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_beta()

value_type parser_beta	(	const value_type &	a,
		const value_type &	b
	)

This function returns the value of the Beta function.

Parameters

a	const value_type&
b	const value_type&

Returns: value_type

Definition at line 2141 of file functionimplementation.cpp.

References intCast(), mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_BetheWeizsaecker()

value_type parser_BetheWeizsaecker	(	const value_type &	vN,
		const value_type &	vZ
	)

This function calculates the nucleic core binding energy according the Bethe Weizs�cker formula.

Parameters

vN	const value_type&
vZ	const value_type&

Returns: value_type

Definition at line 1730 of file functionimplementation.cpp.

References intCast(), mu::isinf(), mu::isnan(), and parser_round().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_BinAND()

value_type parser_BinAND	(	const value_type &	v1,
		const value_type &	v2
	)

This function represents the binary AND operator.

Parameters

v1	const value_type&
v2	const value_type&

Returns: value_type

Definition at line 2525 of file functionimplementation.cpp.

References intCast(), mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_Binom()

value_type parser_Binom	(	const value_type &	v1,
		const value_type &	v2
	)

Function representing the binomial coefficient.

Parameters

v1	const value_type&
v2	const value_type&

Returns: value_type

Definition at line 703 of file functionimplementation.cpp.

References intCast(), mu::isinf(), mu::isnan(), and parser_Faculty().

Referenced by NumeReKernel::defineFunctions(), ek(), parser_LaguerrePolynomial(), and parser_LegendrePolynomial().

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◆ parser_BinOR()

value_type parser_BinOR	(	const value_type &	v1,
		const value_type &	v2
	)

This function represents the binary OR operator.

Parameters

v1	const value_type&
v2	const value_type&

Returns: value_type

Definition at line 2507 of file functionimplementation.cpp.

References intCast(), mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_Calorie()

value_type parser_Calorie ( const value_type & v )

Conversion function for 1cal.

Parameters

v	const value_type&

Returns: value_type

Definition at line 367 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_Celsius()

value_type parser_Celsius ( const value_type & v )

Conversion function for 1�C.

Parameters

v	const value_type&

Returns: value_type

Definition at line 457 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_clausen()

value_type parser_clausen ( const value_type & x )

This function returns the value of the Clausen function.

Parameters

x	const value_type&

Returns: value_type

Definition at line 2241 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_clock()

value_type parser_clock ( )

This function returns the current CPU clock count.

Returns: value_type

Definition at line 2572 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_Cnt()

value_type parser_Cnt	(	const value_type *	vElements,
		int	nElements
	)

This functioon simply returns the number of elements in its array (even the invalid ones).

Parameters

vElements	const value_type*
nElements	int

Returns: value_type

Definition at line 765 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_compare()

value_type parser_compare	(	const value_type *	vElements,
		int	nElements
	)

This function searches for elements of a specified type in the passed array.

Parameters

vElements	const value_type*
nElements	int

Returns: value_type

Definition at line 891 of file functionimplementation.cpp.

References intCast(), mu::isinf(), mu::isnan(), and mu::real().

Referenced by NumeReKernel::defineFunctions(), parser_MaxPos(), and parser_MinPos().

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◆ parser_complex()

value_type parser_complex	(	const value_type &	re,
		const value_type &	im
	)

Construct a complex number from two real numbers.

Parameters

re	const value_type&
im	const value_type&

Returns: value_type

Definition at line 635 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_conj()

value_type parser_conj ( const value_type & v )

Calculates the complex conjugate number of the passed complex number.

Parameters

v	const value_type&

Returns: value_type

Definition at line 620 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_cot()

value_type parser_cot ( const value_type & x )

This function returns the cotangent of the passed value.

Parameters

x	const value_type&

Returns: value_type

Definition at line 2732 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_csc()

value_type parser_csc ( const value_type & x )

This function returns the cosecant of the passed value.

Parameters

x	const value_type&

Returns: value_type

Definition at line 2791 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_csch()

value_type parser_csch ( const value_type & x )

This function returns the hyperbolic cosecant of the passed value.

Parameters

x	const value_type&

Returns: value_type

Definition at line 2847 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_Curie()

value_type parser_Curie ( const value_type & v )

Conversion function for 1C.

Parameters

v	const value_type&

Returns: value_type

Definition at line 487 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_date()

value_type parser_date	(	const value_type &	vTime,
		const value_type &	vType
	)

This function converts UNIX time values into a selected part of a time stamp.

Parameters

vTime	const value_type&
vType	const value_type&

Returns: value_type

Definition at line 2636 of file functionimplementation.cpp.

References date::year_month_day::day(), getTimeStampFromTimePoint(), time_stamp::m_hours, time_stamp::m_microsecs, time_stamp::m_millisecs, time_stamp::m_minutes, time_stamp::m_seconds, time_stamp::m_ymd, date::year_month_day::month(), mu::rint(), to_timePoint(), and date::year_month_day::year().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_digamma()

value_type parser_digamma ( const value_type & x )

This function returns the value of the Digamma function.

Parameters

x	const value_type&

Returns: value_type

Definition at line 2258 of file functionimplementation.cpp.

References intCast(), mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_dilogarithm()

value_type parser_dilogarithm ( const value_type & x )

This function returns the value of the Dilogarithm Li2(x).

Parameters

x	const value_type&

Returns: value_type

Definition at line 2299 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_doubleFaculty()

value_type parser_doubleFaculty ( const value_type & v )

Function representing the double faculty of any natural number.

Parameters

v	const value_type&

Returns: value_type

Definition at line 679 of file functionimplementation.cpp.

References intCast(), mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions(), NumeReKernel::defineOperators(), and parser_AssociatedLegendrePolynomial().

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◆ parser_ElectronVolt()

value_type parser_ElectronVolt ( const value_type & v )

Conversion function for 1eV.

Parameters

v	const value_type&

Returns: value_type

Definition at line 187 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_EllipticD()

value_type parser_EllipticD	(	const value_type &	phi,
		const value_type &	n,
		const value_type &	k
	)

This function returns the value of the elliptic intergal D(phi,n,k).

Parameters

phi	const value_type&
n	const value_type&
k	const value_type&

Returns: value_type

Definition at line 2106 of file functionimplementation.cpp.

References date::floor(), mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_EllipticE()

value_type parser_EllipticE	(	const value_type &	phic,
		const value_type &	kc
	)

This function returns the value of the elliptic intergal E(phi,k).

Parameters

phic	const value_type&
kc	const value_type&

Returns: value_type

Definition at line 2031 of file functionimplementation.cpp.

References date::floor(), mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_EllipticF()

value_type parser_EllipticF	(	const value_type &	phic,
		const value_type &	kc
	)

This function returns the value of the elliptic intergal F(phi,k).

Parameters

phic	const value_type&
kc	const value_type&

Returns: value_type

Definition at line 1993 of file functionimplementation.cpp.

References date::floor(), mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_EllipticP()

value_type parser_EllipticP	(	const value_type &	phi,
		const value_type &	n,
		const value_type &	k
	)

This function returns the value of the elliptic intergal Pi(phi,n,k).

Parameters

phi	const value_type&
n	const value_type&
k	const value_type&

Returns: value_type

Definition at line 2070 of file functionimplementation.cpp.

References date::floor(), mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_erf()

value_type parser_erf ( const value_type & x )

This function calculates the gaussian error function.

Parameters

x	const value_type&

Returns: value_type

Definition at line 1872 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_erfc()

value_type parser_erfc ( const value_type & x )

This function calculates the complementary gaussian error function.

Parameters

x	const value_type&

Returns: value_type

Definition at line 1888 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_Faculty()

value_type parser_Faculty ( const value_type & v )

Function representing the faculty of any natural number.

Parameters

v	const value_type&

Returns: value_type

Definition at line 649 of file functionimplementation.cpp.

References date::abs(), intCast(), mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions(), NumeReKernel::defineOperators(), parser_AssociatedLaguerrePolynomial(), parser_AssociatedLegendrePolynomial(), parser_Binom(), parser_imSphericalHarmonics(), parser_LaguerrePolynomial(), parser_SphericalHarmonics(), and parser_ZernikeRadial().

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◆ parser_Fahrenheit()

value_type parser_Fahrenheit ( const value_type & v )

Conversion function for 1�F.

Parameters

v	const value_type&

Returns: value_type

Definition at line 472 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_Fermi()

value_type parser_Fermi ( const value_type & v )

Conversion function for 1fm.

Parameters

v	const value_type&

Returns: value_type

Definition at line 202 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_floor()

value_type parser_floor ( const value_type & x )

This is the floor function.

Parameters

x	const value_type&

Returns: value_type

Definition at line 2322 of file functionimplementation.cpp.

References date::floor().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_Foot()

value_type parser_Foot ( const value_type & v )

Conversion function for 1ft.

Parameters

v	const value_type&

Returns: value_type

Definition at line 337 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_gamma()

value_type parser_gamma ( const value_type & x )

This function calculates the riemannian Gamma function.

Parameters

x	const value_type&

Returns: value_type

Definition at line 1904 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions(), and parser_zeta().

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◆ parser_Gauss()

value_type parser_Gauss ( const value_type & v )

Conversion function for 1Gs.

Parameters

v	const value_type&

Returns: value_type

Definition at line 502 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_gcd()

value_type parser_gcd	(	const value_type &	n,
		const value_type &	k
	)

This function returns the greatest common divisor of both argments.

Parameters

n	const value_type&
k	const value_type&

Returns: value_type

Definition at line 2437 of file functionimplementation.cpp.

References intCast().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_Giga()

value_type parser_Giga ( const value_type & a_fVal )

Conversion function for 1G.

Parameters

a_fVal const value_type&

Returns: value_type

Definition at line 96 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_gRandom()

value_type parser_gRandom	(	const value_type &	vRandAvg,
		const value_type &	vRandstd
	)

This function returns a gaussian distributed random number using the passed values as mean and standard deviation.

Parameters

vRandAvg	const value_type&
vRandstd	const value_type&

Returns: value_type

Definition at line 1854 of file functionimplementation.cpp.

References getRandGenInstance(), mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_Heaviside()

value_type parser_Heaviside ( const value_type & v )

This function represents the Heaviside (theta) function.

Parameters

v	const value_type&

Returns: value_type

Definition at line 1773 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_HermitePolynomial()

value_type parser_HermitePolynomial	(	const value_type &	vn,
		const value_type &	v
	)

This function calculates the Hermite polynomials of the selected order.

Parameters

vn	const value_type&
v	const value_type&

Returns: value_type

Definition at line 1701 of file functionimplementation.cpp.

References intCast(), mu::isinf(), mu::isnan(), and parser_HermitePolynomial().

Referenced by NumeReKernel::defineFunctions(), and parser_HermitePolynomial().

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◆ parser_Ignore()

value_type parser_Ignore ( const value_type & v )

Identity function. Used for ignoring functions and parameters in special cases.

Parameters

v	const value_type&

Returns: value_type

Definition at line 173 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions(), and NumeReKernel::defineOperators().

◆ parser_imag()

value_type parser_imag ( const value_type & v )

Extracts the imaginary part of a complex number.

Parameters

v	const value_type&

Returns: value_type

Definition at line 576 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_imaginaryUnit()

value_type parser_imaginaryUnit ( const value_type & v )

Multiplies a number with the imaginary unit.

Parameters

v	const value_type&

Returns: value_type

Definition at line 548 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineOperators().

◆ parser_imSphericalHarmonics()

value_type parser_imSphericalHarmonics	(	const value_type &	vl,
		const value_type &	vm,
		const value_type &	theta,
		const value_type &	phi
	)

This function calculates the imaginary part of the selected spherical harmonics.

Parameters

vl	const value_type&
vm	const value_type&
theta	const value_type&
phi	const value_type&

Returns: value_type

Definition at line 1369 of file functionimplementation.cpp.

References date::abs(), intCast(), mu::isinf(), mu::isnan(), M_PI, parser_AssociatedLegendrePolynomial(), and parser_Faculty().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_Inch()

value_type parser_Inch ( const value_type & v )

Conversion function for 1in.

Parameters

v	const value_type&

Returns: value_type

Definition at line 352 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_interval()

value_type parser_interval	(	const value_type &	v,
		const value_type &	vLeft,
		const value_type &	vRight
	)

This function numerically defines a valid value range (the value is set to NaN, if outside of this range).

Parameters

v	const value_type&
vLeft	const value_type&
vRight	const value_type&

Returns: value_type

Definition at line 2712 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_IrregularCylBessel()

value_type parser_IrregularCylBessel	(	const value_type &	n,
		const value_type &	x
	)

This function calculates the irregulary bessel (von Neumann) function.

Parameters

n	const value_type&
x	const value_type&

Returns: value_type

Definition at line 1975 of file functionimplementation.cpp.

References intCast().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_is_string()

value_type parser_is_string ( const value_type & v )

This function is a numerical version of the string is_string() function. Used as a fallback.

Parameters

v	const value_type&

Returns: const value_type&

Definition at line 2543 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_isnan()

value_type parser_isnan ( const value_type & v )

Returns, whether the selected value is NaN.

Parameters

v	const value_type&

Returns: value_type

Definition at line 2695 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_ivl()

value_type parser_ivl	(	const value_type &	x,
		const value_type &	x0,
		const value_type &	x1,
		const value_type &	lborder,
		const value_type &	rborder
	)

This function describes an interval with borders of a selected type (including, excluding, ignore).

Parameters

x	const value_type&
x0	const value_type&
x1	const value_type&
lborder	const value_type&
rborder	const value_type&

Returns: value_type

Definition at line 2369 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_Kilo()

value_type parser_Kilo ( const value_type & a_fVal )

Conversion function for 1k.

Parameters

a_fVal const value_type&

Returns: value_type

Definition at line 111 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_kmh()

value_type parser_kmh ( const value_type & v )

Conversion function for 1kmh.

Parameters

v	const value_type&

Returns: value_type

Definition at line 427 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_Knoten()

value_type parser_Knoten ( const value_type & v )

Conversion function for 1kn.

Parameters

v	const value_type&

Returns: value_type

Definition at line 397 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_LaguerrePolynomial()

value_type parser_LaguerrePolynomial	(	const value_type &	vn,
		const value_type &	v
	)

This function calculates the Laguerre polynomials of the selected order.

Parameters

vn	const value_type&
v	const value_type&

Returns: value_type

Definition at line 1644 of file functionimplementation.cpp.

References intCast(), intPower(), mu::isinf(), mu::isnan(), parser_Binom(), and parser_Faculty().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_lcm()

value_type parser_lcm	(	const value_type &	n,
		const value_type &	k
	)

This function returns the least common multiple of both arguments.

Parameters

n	const value_type&
k	const value_type&

Returns: value_type

Definition at line 2452 of file functionimplementation.cpp.

References intCast().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_LegendrePolynomial()

value_type parser_LegendrePolynomial	(	const value_type &	vn,
		const value_type &	v
	)

This function calculates the Legendre polynomials of the selected order.

Parameters

vn	const value_type&
v	const value_type&

Returns: value_type

Definition at line 1585 of file functionimplementation.cpp.

References intCast(), intPower(), mu::isinf(), mu::isnan(), and parser_Binom().

Referenced by NumeReKernel::defineFunctions(), and parser_AssociatedLegendrePolynomial().

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◆ parser_Lightyear()

value_type parser_Lightyear ( const value_type & v )

Conversion function for 1ly.

Parameters

v	const value_type&

Returns: value_type

Definition at line 277 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_liter()

value_type parser_liter ( const value_type & v )

Conversion function for 1l.

Parameters

v	const value_type&

Returns: value_type

Definition at line 412 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_log_b()

value_type parser_log_b	(	const value_type &	b,
		const value_type &	x
	)

Calculates the logarithm of x using the base b.

Parameters

b	const value_type&
x	const value_type&

Returns: value_type

Definition at line 2602 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_Max()

value_type parser_Max	(	const value_type *	vElements,
		int	nElements
	)

This function calculates the maximal value of all elements in the passed array.

Parameters

vElements	const value_type*
nElements	int

Returns: value_type

Definition at line 1207 of file functionimplementation.cpp.

References mu::isnan(), max, and mu::real().

Referenced by mu::Parser::Max(), mu::parser_idxtolog(), and parser_MaxPos().

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◆ parser_MaxPos()

value_type parser_MaxPos	(	const value_type *	vElements,
		int	nElements
	)

This function returns the index of the (first) maximal value in the array.

Parameters

vElements	const value_type*
nElements	int

Returns: value_type

Definition at line 1261 of file functionimplementation.cpp.

References parser_compare(), and parser_Max().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_Med()

value_type parser_Med	(	const value_type *	vElements,
		int	nElements
	)

This function calculates the median of the elements in the passed array.

Parameters

vElements	const value_type*
nElements	int

Returns: value_type

Definition at line 851 of file functionimplementation.cpp.

References Memory::med(), and Memory::writeData().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_Mega()

value_type parser_Mega ( const value_type & a_fVal )

Conversion function for 1M.

Parameters

a_fVal const value_type&

Returns: value_type

Definition at line 66 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_Micro()

value_type parser_Micro ( const value_type & a_fVal )

Conversion function for 1mu.

Parameters

a_fVal const value_type&

Returns: value_type

Definition at line 126 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_Mile()

value_type parser_Mile ( const value_type & v )

Conversion function for 1mi.

Parameters

v	const value_type&

Returns: value_type

Definition at line 307 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_Milli()

value_type parser_Milli ( const value_type & a_fVal )

Conversion function for 1m.

Parameters

a_fVal const value_type&

Returns: value_type

Definition at line 81 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_Min()

value_type parser_Min	(	const value_type *	vElements,
		int	nElements
	)

This function calculates the minimal value of all elements in the passed array.

Parameters

vElements	const value_type*
nElements	int

Returns: value_type

Definition at line 1172 of file functionimplementation.cpp.

References mu::isnan(), min, and mu::real().

Referenced by mu::Parser::Min(), and parser_MinPos().

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◆ parser_MinPos()

value_type parser_MinPos	(	const value_type *	vElements,
		int	nElements
	)

This function returns the index of the (first) minimal value in the array.

Parameters

vElements	const value_type*
nElements	int

Returns: value_type

Definition at line 1242 of file functionimplementation.cpp.

References parser_compare(), and parser_Min().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_Mod()

value_type parser_Mod	(	const value_type &	v1,
		const value_type &	v2
	)

This function represents the Modulo operator.

Parameters

v1	const value_type&
v2	const value_type&

Returns: value_type

Definition at line 2467 of file functionimplementation.cpp.

References date::floor(), mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_mol()

value_type parser_mol ( const value_type & v )

Conversion function for 1mol.

Parameters

v	const value_type&

Returns: value_type

Definition at line 532 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_mph()

value_type parser_mph ( const value_type & v )

Conversion function for 1mph.

Parameters

v	const value_type&

Returns: value_type

Definition at line 442 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_Nano()

value_type parser_Nano ( const value_type & a_fVal )

Conversion function for 1n.

Parameters

a_fVal const value_type&

Returns: value_type

Definition at line 141 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_Norm()

value_type parser_Norm	(	const value_type *	vElements,
		int	nElements
	)

This function calculates the vector norm of the elements in the passed array.

Parameters

vElements	const value_type*
nElements	int

Returns: value_type

Definition at line 828 of file functionimplementation.cpp.

References mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_Not()

value_type parser_Not ( const value_type & v )

Function representing the logical NOT operator.

Parameters

v	const value_type&

Returns: value_type

Definition at line 157 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_Num()

value_type parser_Num	(	const value_type *	vElements,
		int	nElements
	)

This function returns the number of valid elements in its array.

Parameters

vElements	const value_type*
nElements	int

Returns: value_type

Definition at line 741 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions(), parser_Avg(), and parser_Std().

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◆ parser_numereversion()

value_type parser_numereversion ( )

Returns the version number of NumeRe as a natural number.

Returns: value_type

Definition at line 2621 of file functionimplementation.cpp.

References AutoVersion::BUILD, AutoVersion::MAJOR, AutoVersion::MINOR, and AutoVersion::UBUNTU_VERSION_STYLE.

Referenced by NumeReKernel::defineFunctions().

◆ parser_or()

value_type parser_or	(	const value_type *	vElements,
		int	nElements
	)

This function calculates the logical OR operation between all elements in the passed array.

Parameters

vElements	const value_type*
nElements	int

Returns: value_type

Definition at line 1019 of file functionimplementation.cpp.

References mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_Parsec()

value_type parser_Parsec ( const value_type & v )

Conversion function for 1pc.

Parameters

v	const value_type&

Returns: value_type

Definition at line 292 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_Pct()

value_type parser_Pct	(	const value_type *	vElements,
		int	nElements
	)

This function calculates the selected percentile of the passed array.

Parameters

vElements	const value_type*
nElements	int

Returns: value_type

Definition at line 871 of file functionimplementation.cpp.

References Memory::pct(), and Memory::writeData().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_perlin()

value_type parser_perlin	(	const value_type *	vElements,
		int	nElements
	)

This function implements the perlin noise function.

Parameters

vElements	const value_type*
nElements	int

Returns: value_type

Definition at line 1094 of file functionimplementation.cpp.

References intCast(), and mu::real().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_phi()

value_type parser_phi	(	const value_type &	x,
		const value_type &	y
	)

This function calculates the angle of a vector and the x axis in the x-y plane (the azimuthal angle phi).

Parameters

x	const value_type&
y	const value_type&

Returns: value_type

Definition at line 1792 of file functionimplementation.cpp.

References date::abs(), mu::isinf(), mu::isnan(), and M_PI.

Referenced by cartToCyl(), cartToPolar(), and NumeReKernel::defineFunctions().

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◆ parser_Poise()

value_type parser_Poise ( const value_type & v )

Conversion function for 1Ps.

Parameters

v	const value_type&

Returns: value_type

Definition at line 517 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_polar2rect()

value_type parser_polar2rect ( const value_type & v )

Converts a polar representation into a rectangular representation and returns it as a new complex number.

Parameters

v	const value_type&

Returns: value_type

Definition at line 606 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_polygamma()

value_type parser_polygamma	(	const value_type &	n,
		const value_type &	x
	)

This function returns the value if the Polygamma function.

Parameters

n	const value_type&
x	const value_type&

Returns: value_type

Definition at line 2282 of file functionimplementation.cpp.

References intCast(), mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_polynomial()

value_type parser_polynomial	(	const value_type *	vElements,
		int	nElements
	)

This function implements an abstract polynomial of an arbitrary order.

Parameters

vElements	const value_type*
nElements	int

Returns: value_type

Definition at line 1069 of file functionimplementation.cpp.

References intPower().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_product()

value_type parser_product	(	const value_type *	vElements,
		int	nElements
	)

This function calculates the product of all elements in the passed array.

Parameters

vElements	const value_type*
nElements	int

Returns: value_type

Definition at line 805 of file functionimplementation.cpp.

References mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_PSI()

value_type parser_PSI ( const value_type & v )

Conversion function for 1psi.

Parameters

v	const value_type&

Returns: value_type

Definition at line 382 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_Random()

value_type parser_Random	(	const value_type &	vRandMin,
		const value_type &	vRandMax
	)

This function returns a uniformly distributed random number between both boundaries.

Parameters

vRandMin	const value_type&
vRandMax	const value_type&

Returns: value_type

Definition at line 1834 of file functionimplementation.cpp.

References getRandGenInstance(), mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions(), and particleSwarmOptimizer().

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◆ parser_real()

value_type parser_real ( const value_type & v )

Extracts the real part of a complex number.

Parameters

v	const value_type&

Returns: value_type

Definition at line 562 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_rect()

value_type parser_rect	(	const value_type &	x,
		const value_type &	x0,
		const value_type &	x1
	)

This is the rect function.

Parameters

x	const value_type&
x0	const value_type&
x1	const value_type&

Returns: value_type

Definition at line 2350 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_rect2polar()

value_type parser_rect2polar ( const value_type & v )

Converts a rectangular representation into polar representation and returns it as a new complex number.

Parameters

v	const value_type&

Returns: value_type

Definition at line 591 of file functionimplementation.cpp.

References date::abs().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_RegularCylBessel()

value_type parser_RegularCylBessel	(	const value_type &	n,
		const value_type &	x
	)

This function calculates the regulary bessel function.

Parameters

n	const value_type&
x	const value_type&

Returns: value_type

Definition at line 1957 of file functionimplementation.cpp.

References intCast().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_roof()

value_type parser_roof ( const value_type & x )

This is the roof (ceil) function.

Parameters

x	const value_type&

Returns: value_type

Definition at line 2335 of file functionimplementation.cpp.

References date::ceil().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_round()

value_type parser_round	(	const value_type &	vToRound,
		const value_type &	vDecimals
	)

This function rounds the passed value to the selected number of decimals.

Parameters

vToRound	const value_type&
vDecimals	const value_type&

Returns: value_type

Definition at line 1280 of file functionimplementation.cpp.

References date::abs(), intCast(), intPower(), mu::isinf(), mu::isnan(), and date::round().

Referenced by NumeReKernel::defineFunctions(), and parser_BetheWeizsaecker().

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◆ parser_sec()

value_type parser_sec ( const value_type & x )

This function returns the secant of the passed value.

Parameters

x	const value_type&

Returns: value_type

Definition at line 2777 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_sech()

value_type parser_sech ( const value_type & x )

This function returns the hyperbolic secant of the passed value.

Parameters

x	const value_type&

Returns: value_type

Definition at line 2833 of file functionimplementation.cpp.

Referenced by NumeReKernel::defineFunctions().

◆ parser_SinusCardinalis()

value_type parser_SinusCardinalis ( const value_type & v )

This function calculates the cardinal sine of x.

Parameters

v	const value_type&

Returns: value_type

Definition at line 1469 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_sleep()

value_type parser_sleep ( const value_type & milliseconds )

Sleeps for the passed amount of milliseconds and returns this number.

Parameters

milliseconds const value_type&

Returns: value_type

Definition at line 2586 of file functionimplementation.cpp.

References intCast().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_SphericalBessel()

value_type parser_SphericalBessel	(	const value_type &	vn,
		const value_type &	vc
	)

This function calculates the spherical bessel function.

Parameters

vn	const value_type&
vc	const value_type&

Returns: value_type

Definition at line 1489 of file functionimplementation.cpp.

References intCast(), intPower(), mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_SphericalHarmonics()

value_type parser_SphericalHarmonics	(	const value_type &	vl,
		const value_type &	vm,
		const value_type &	theta,
		const value_type &	phi
	)

This function calculates the real part of the selected spherical harmonics.

Parameters

vl	const value_type&
vm	const value_type&
theta	const value_type&
phi	const value_type&

Returns: value_type

Definition at line 1337 of file functionimplementation.cpp.

References date::abs(), intCast(), mu::isinf(), mu::isnan(), M_PI, parser_AssociatedLegendrePolynomial(), and parser_Faculty().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_SphericalNeumann()

value_type parser_SphericalNeumann	(	const value_type &	vn,
		const value_type &	vc
	)

This function calculates the spherical von Neumann function.

Parameters

vn	const value_type&
vc	const value_type&

Returns: value_type

Definition at line 1538 of file functionimplementation.cpp.

References intCast(), intPower(), mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_Std()

value_type parser_Std	(	const value_type *	vElements,
		int	nElements
	)

This function calculates the standard deviation of the elements in the passed array.

Parameters

vElements	const value_type*
nElements	int

Returns: value_type

Definition at line 781 of file functionimplementation.cpp.

References mu::isnan(), parser_Avg(), and parser_Num().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_studentFactor()

value_type parser_studentFactor	(	const value_type &	vFreedoms,
		const value_type &	vAlpha
	)

This function returns the Student factor s_t for the selected degrees of freedom and a confidence interval.

Parameters

vFreedoms	const value_type&
vAlpha	const value_type&

Returns: value_type

Definition at line 2419 of file functionimplementation.cpp.

References intCast(), and student_t().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_Sum()

value_type parser_Sum	(	const value_type *	vElements,
		int	nElements
	)

This function summarizes all elements in the passed array.

Parameters

vElements	const value_type*
nElements	int

Returns: value_type

Definition at line 1134 of file functionimplementation.cpp.

References mu::isnan().

Referenced by parser_Avg(), and mu::Parser::Sum().

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◆ parser_theta()

value_type parser_theta	(	const value_type &	x,
		const value_type &	y,
		const value_type &	z
	)

This function calculates the angle of a vector and the z axis in any z-r plane (the polar angle theta).

Parameters

x	const value_type&
y	const value_type&
z	const value_type&

Returns: value_type

Definition at line 1814 of file functionimplementation.cpp.

References mu::isinf(), mu::isnan(), and M_PI.

Referenced by cartToPolar(), cylToPolar(), and NumeReKernel::defineFunctions().

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◆ parser_time()

value_type parser_time ( )

This function returns the current UNIX time.

Returns: value_type

Definition at line 2559 of file functionimplementation.cpp.

References sys_time_now(), and to_double().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_toDegree()

value_type parser_toDegree ( const value_type & v )

This function converts radian to degree.

Parameters

v	const value_type&

Returns: value_type

Definition at line 1317 of file functionimplementation.cpp.

References mu::isinf(), mu::isnan(), and M_PI.

Referenced by NumeReKernel::defineFunctions().

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◆ parser_toRadian()

value_type parser_toRadian ( const value_type & v )

This function converts degree to radian.

Parameters

v	const value_type&

Returns: value_type

Definition at line 1300 of file functionimplementation.cpp.

References mu::isinf(), mu::isnan(), and M_PI.

Referenced by NumeReKernel::defineFunctions().

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◆ parser_Torr()

value_type parser_Torr ( const value_type & v )

Conversion function for 1Torr/1mmhg.

Parameters

v	const value_type&

Returns: value_type

Definition at line 247 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_weeknum()

value_type parser_weeknum ( const value_type & vTime )

This function returns the calendar week associated with the passed time value.

Parameters

vTime const value_type&

Returns: value_type

Definition at line 2681 of file functionimplementation.cpp.

References getWeekNum(), and to_timePoint().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_XOR()

value_type parser_XOR	(	const value_type &	v1,
		const value_type &	v2
	)

This function represent the XOR operator.

Parameters

v1	const value_type&
v2	const value_type&

Returns: value_type

Definition at line 2489 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_xor()

value_type parser_xor	(	const value_type *	vElements,
		int	nElements
	)

This function calculates the logical XOR operation between all elements in the passed array.

Parameters

vElements	const value_type*
nElements	int

Returns: value_type

Definition at line 1041 of file functionimplementation.cpp.

References mu::isnan().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_Yard()

value_type parser_Yard ( const value_type & v )

Conversion function for 1yd.

Parameters

v	const value_type&

Returns: value_type

Definition at line 322 of file functionimplementation.cpp.

References mu::isinf(), and mu::isnan().

Referenced by NumeReKernel::defineOperators().

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◆ parser_Zernike()

value_type parser_Zernike	(	const value_type &	vn,
		const value_type &	vm,
		const value_type &	rho,
		const value_type &	phi
	)

This function calculates the selected Zernike polynomials.

Parameters

vn	const value_type&
vm	const value_type&
rho	const value_type&
phi	const value_type&

Returns: value_type

Definition at line 1401 of file functionimplementation.cpp.

References date::abs(), intCast(), mu::isinf(), mu::isnan(), and parser_ZernikeRadial().

Referenced by NumeReKernel::defineFunctions().

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◆ parser_ZernikeRadial()

value_type parser_ZernikeRadial	(	int	n,
		int	m,
		const value_type &	rho
	)

This function calculates the radial part of the Zernike polynomials.

Parameters

n	int
m	int
rho	const value_type&

Returns: value_type

Definition at line 1432 of file functionimplementation.cpp.

References intPower(), and parser_Faculty().

Referenced by parser_Zernike().

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◆ parser_zeta()

value_type parser_zeta ( const value_type & s )

This function returns the value of the Zeta function.

Parameters

s	const value_type&

Returns: value_type

Definition at line 2219 of file functionimplementation.cpp.

References complex_zeta(), mu::isinf(), mu::isnan(), M_PI, and parser_gamma().

Referenced by NumeReKernel::defineFunctions().

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Variable Documentation

◆ exitsignal

volatile sig_atomic_t exitsignal = 0

Definition at line 52 of file functionimplementation.cpp.

◆ nErrorIndices

int nErrorIndices[2] = {-1,-1}

Definition at line 49 of file functionimplementation.cpp.

◆ sErrorToken

string sErrorToken = ""

Definition at line 50 of file functionimplementation.cpp.

Referenced by FlowCtrl::calc(), FlowCtrl::compile(), ProcedureVarFactory::createProcedureArguments(), Procedure::execute(), Procedure::ProcCalc(), and writeToFile().

◆ tTimeZero

time_t tTimeZero

extern

Definition at line 43 of file kernel.cpp.

Macros

Functions

Variables

Macro Definition Documentation

◆ _USE_MATH_DEFINES

Function Documentation

◆ complex_zeta()

◆ ek()

◆ parser_acsc()

◆ parser_acsch()

◆ parser_AddVariable()

◆ parser_AiryA()

◆ parser_AiryB()

◆ parser_and()

◆ parser_Angstroem()

◆ parser_asec()

◆ parser_asech()

◆ parser_AssociatedLaguerrePolynomial()

◆ parser_AssociatedLegendrePolynomial()

◆ parser_AstroUnit()

◆ parser_Avg()

◆ parser_Barn()

◆ parser_beta()

◆ parser_BetheWeizsaecker()

◆ parser_BinAND()

◆ parser_Binom()

◆ parser_BinOR()

◆ parser_Calorie()

◆ parser_Celsius()

◆ parser_clausen()

◆ parser_clock()

◆ parser_Cnt()

◆ parser_compare()

◆ parser_complex()

◆ parser_conj()

◆ parser_cot()

◆ parser_csc()

◆ parser_csch()

◆ parser_Curie()

◆ parser_date()

◆ parser_digamma()

◆ parser_dilogarithm()

◆ parser_doubleFaculty()

◆ parser_ElectronVolt()

◆ parser_EllipticD()

◆ parser_EllipticE()

◆ parser_EllipticF()

◆ parser_EllipticP()

◆ parser_erf()

◆ parser_erfc()

◆ parser_Faculty()

◆ parser_Fahrenheit()

◆ parser_Fermi()

◆ parser_floor()

◆ parser_Foot()

◆ parser_gamma()

◆ parser_Gauss()

◆ parser_gcd()

◆ parser_Giga()

◆ parser_gRandom()

◆ parser_Heaviside()

◆ parser_HermitePolynomial()

◆ parser_Ignore()

◆ parser_imag()

◆ parser_imaginaryUnit()

◆ parser_imSphericalHarmonics()

◆ parser_Inch()

◆ parser_interval()

◆ parser_IrregularCylBessel()

◆ parser_is_string()

◆ parser_isnan()

◆ parser_ivl()

◆ parser_Kilo()

◆ parser_kmh()

◆ parser_Knoten()

◆ parser_LaguerrePolynomial()

◆ parser_lcm()

◆ parser_LegendrePolynomial()

◆ parser_Lightyear()

◆ parser_liter()