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BaseDefinitions.cpp File Reference

#include <stdlib.h>
#include <string.h>
#include <math.h>
#include "BaseDefinitions.h"

Include dependency graph for BaseDefinitions.cpp:

Functions
Zahl	AsymErfc (Zahl zsq)
void	WriteDoubleArray (ofstream &str, long len, double *vals, char *endchar, long dim)
long	binom (long i, long k)
long	power (long m, long n)
double	power (double m, long n)
double	vectabs (double a1, double a2, double a3)
bool	IsPrimitiveRoot (long proot, long base)
double	Phi (long base, long x)
double	CoeffToDouble (long base, long *cfs, long cflen)
double	CoeffToDoubleModified (long base, long *cfs, long cflen, long modfact)
long	LongToCoeff (long nr, long base, long *cfs, long cflen)
Variables
long	ERFCMAXREK = 7

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Function Documentation

Zahl AsymErfc ( Zahl zsq )

Calculates the Erfc by means of its asymptotic expansion. Parameters: zsq   The variable z^2 in the expansion.

double CoeffToDouble ( long base, long * cfs, long cflen )

returns the double-representation of the cofficients in base "base" given in cfs. E.g. cfs={1,2,1,2,1}, base=3 => returns 1/3 + 2/9 + 1/27 + 2/81 + 1/243

double CoeffToDoubleModified ( long base, long * cfs, long cflen, long modfact )

returns the double-representation of the cofficients in base "base" given in cfs. E.g. cfs={1,2,1,2,1}, base=3 => returns 1/3 + 2/9 + 1/27 + 2/81 + 1/243 This is the modified version, needed by Atanassov's sequence. (Not quite implemented yet ...)

bool IsPrimitiveRoot ( long proot, long base )

Checks if proot is a primitive root modulo base.

long LongToCoeff ( long nr, long base, long * cfs, long cflen )

Expands n in base "base". Parameters: nr   the number to develop in base base   Which base to use for the expansion cfs   long-array where the coefficients should be stored cflen   length of the buffer cfs Returns: Returns the number of coefficients (lowest n s.t. nr<base^n) or cflen, depending in which one is smaller

double Phi ( long base, long x )

The digit inversion function. This inverts x (written down in base "base") at the comma. E.g. Phi(3, 25): 25=2*9+2*3+1=221_3 => 0.112_3=1/3 + 1/9 + 2/27

void WriteDoubleArray ( ofstream & str, long len, double * vals, char * endchar, long dim )

Writes the "dim"-dimensional array vals in Mathematica-List format to the file str. Parameters: endchar   defines a string which should be written out after the list, e.g. ";" or "//MatrixForm" len   vals   The dim-dimensional array of double-Values endchar   String that is appended to the file after the List is written out. dim

long binom ( long i, long k )

Returns the binomial coefficient (i k).

double power ( double m, long n )

Returns m^n where n and m are double variable. The result is of type double, too.

long power ( long m, long n )

Returns m^n, where n and m are long variables. The result, of course, is also of type long.

double vectabs ( double a1, double a2, double a3 )

Returns the length of the 3-dimensional vector (a1, a2, a3) (just sqrt(a1*a1 + a2*a2 + a3*a3) ).

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Variable Documentation

long ERFCMAXREK = 7

Defines how many term in the asymptotic expansion of erfc=1-erf should be used for the calculation.

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