mathplus.h File Reference

general purpose math definitions and functions (C) More...

#include <math.h>
#include "constants.h"

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Defines
#define	LONG_LONG   long long
Functions
double	bernoulli (const double x)
	Despite being C compliant, we do use namespace stuff, if we can.
double	asinh (const double x)
unsigned long	binom (const unsigned long x, unsigned long y)
	x!/(y!(x-y)!)
unsigned long	binomial (const unsigned long y, const unsigned long z)
	(y+z)!/(y!z!)
unsigned long long	fac (const unsigned char x)
unsigned long	trinomial (const unsigned long x, const unsigned long y, const unsigned long z)
	(x+y+z)!/(x!y!z!) Like for binomial, more efficient algos (or algos less prone to overflow) are possible .
long double	fact (const double x)
long double	ldgamma (const double x)
	the gamma fct
double	poisson (const double x, const double la)
	poisson distrib
double	chi_s (const double x, const double n)
	chi_square distrib
double	erfc3 (const double x, const double c, const double s)
	Gauss normal distribution (x, center, sigma).

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Detailed Description

general purpose math definitions and functions (C)

Definition in file mathplus.h.

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Define Documentation

#define LONG_LONG   long long

Definition at line 22 of file mathplus.h.

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Function Documentation

double asinh

(

const double

x

)

[inline]

Definition at line 44 of file mathplus.h.

References std::fabs(), log(), MATH__, and sqrt().

double bernoulli

(

const double

x

)

[inline]

Despite being C compliant, we do use namespace stuff, if we can.

<Bernoulli function from: Simulation of optoelectronic semiconductors, TR 310, S. 60

Definition at line 35 of file mathplus.h.

References exp(), std::fabs(), and MATH__.

unsigned long binom	(	const unsigned long	x,
		unsigned long	y
	)			[inline]

x!/(y!(x-y)!)

Definition at line 52 of file mathplus.h.

References LONG_LONG.

unsigned long binomial	(	const unsigned long	y,
		const unsigned long	z
	)			[inline]

(y+z)!/(y!z!)

Definition at line 66 of file mathplus.h.

References LONG_LONG.

double chi_s	(	const double	x,
		const double	n
	)			[inline]

chi_square distrib

Definition at line 130 of file mathplus.h.

References exp(), ldgamma(), MATH__, and std::pow().

double erfc3	(	const double	x,
		const double	c,
		const double	s
	)			[inline]

Gauss normal distribution (x, center, sigma).

Definition at line 137 of file mathplus.h.

References exp(), MATH__, pi, and sqrt().

unsigned long long fac

(

const unsigned char

x

)

[inline]

Definition at line 79 of file mathplus.h.

References LONG_LONG.

Referenced by TBCI::TSVector< T >::abs(), TBCI::TSVector< T >::add_t_tsv(), TBCI::CTensor< T >::calclayout(), TBCI::TSVector< T >::clone(), TBCI::TSMatrix< T >::clone(), TBCI::F_TSMatrix< T >::clone(), TBCI::Matrix< T >::div_rows(), TBCI::TSVector< T >::eval(), TBCI::TSMatrix< T >::eval(), TBCI::F_TSMatrix< T >::eval(), TBCI::TSVector< T >::fabs(), TBCI::F_TSMatrix< T >::fabs(), TBCI::TSVector< T >::fabssqr(), TBCI::TSMatrix< T >::fabssqr(), TBCI::TSVector< T >::get(), TBCI::F_TSMatrix< T >::get(), TBCI::TSVector< T >::getfac(), TBCI::TSMatrix< T >::getfac(), TBCI::TSVector< T >::getfacref(), TBCI::grid_min(), TBCI::Grid_Min_2D(), TBCI::hyper2geom1(), TBCI::lev_mar(), TBCI::LM_fit_2D(), TBCI::Matrix< T >::mult_rows(), TBCI::TSVector< T >::operator()(), TBCI::TSMatrix< T >::operator()(), TBCI::F_TSMatrix< T >::operator()(), TBCI::TSVector< T >::operator*(), TBCI::TSMatrix< T >::operator*(), TBCI::F_TSMatrix< T >::operator*(), TBCI::TSVector< T >::operator*=(), TBCI::TSMatrix< T >::operator*=(), TBCI::F_TSMatrix< T >::operator*=(), TBCI::TSVector< T >::operator+(), TBCI::TSMatrix< T >::operator+(), TBCI::TSVector< T >::operator-(), TBCI::TSMatrix< T >::operator-(), TBCI::F_TSMatrix< T >::operator-(), TBCI::TSVector< T >::operator/(), TBCI::TSMatrix< T >::operator/(), TBCI::F_TSMatrix< T >::operator/(), TBCI::TSVector< T >::operator/=(), TBCI::TSMatrix< T >::operator/=(), TBCI::F_TSMatrix< T >::operator/=(), TBCI::TSVector< T >::operator=(), TBCI::TSMatrix< T >::operator=(), TBCI::F_TSMatrix< T >::operator=(), TBCI::TSVector< T >::operator==(), TBCI::TSMatrix< T >::operator==(), TBCI::F_TSMatrix< T >::operator==(), TBCI::partial_del(), TBCI::Partial_Del(), TBCI::TSVector< T >::sub_t_tsv(), TBCI::TSVector< T >::sum(), and trinomial().

long double fact

(

const double

x

)

[inline]

Note:

Stirling is only fine for large numbers

Definition at line 101 of file mathplus.h.

References E1, MATH__, pi, std::pow(), and sqrt().

Referenced by do_mat_tsv_mult(), ldgamma(), and TBCI::lu_solve_expert().

long double ldgamma

(

const double

x

)

[inline]

the gamma fct

Definition at line 112 of file mathplus.h.

References fact(), and MATH__.

Referenced by chi_s(), and poisson().

double poisson	(	const double	x,
		const double	la
	)			[inline]

poisson distrib

Definition at line 124 of file mathplus.h.

References exp(), ldgamma(), MATH__, and std::pow().

unsigned long trinomial	(	const unsigned long	x,
		const unsigned long	y,
		const unsigned long	z
	)			[inline]

(x+y+z)!/(x!y!z!) Like for binomial, more efficient algos (or algos less prone to overflow) are possible .

..

Definition at line 92 of file mathplus.h.

References fac().