Can't Copy and Paste this?
Click here for a copy-and-paste friendly version of this code!
//**************************************
//
//INCLUDE files for :Compute Euler's Tot
// ient function (phi)
//**************************************
//
/* +++Date last modified: 05-Jul-1997 */
/*
** SNIPMATH.H - Header file for SNIPPETS math functions and macros
*/
#ifndef SNIPMATH__H
#define SNIPMATH__H
#include
#include "sniptype.h"
#include "round.h"
/*
** Callable library functions begin here
*/
voidSetBCDLen(int n); /* Bcdl.C */
longBCDtoLong(char *BCDNum); /* Bcdl.C */
voidLongtoBCD(long num, char BCDNum[]);/* Bcdl.C */
double bcd_to_double(void *buf, size_t len, /* Bcdd.C */
int digits);
int double_to_bcd(double arg, char *buf, /* Bcdd.C */
size_t length, size_t digits );
DWORDncomb1 (int n, int m);/* Combin.C*/
DWORDncomb2 (int n, int m);/* Combin.C*/
voidSolveCubic(double a, double b, double c, /* Cubic.C*/
double d, int *solutions,
double *x);
DWORDdbl2ulong(double t); /* Dbl2Long.C */
longdbl2long(double t);/* Dbl2Long.C */
double dround(double x); /* Dblround.C */
/* Use #defines for Permutations and Combinations -- Factoryl.C */
#define log10P(n,r) (log10factorial(n)-log10factorial((n)-(r)))
#define log10C(n,r) (log10P((n),(r))-log10factorial(r))
double log10factorial(double N); /* Factoryl.C */
double fibo(unsigned short term);/* Fibo.C */
double frandom(int n);/* Frand.C*/
double ipow(double x, int n);/* Ipow.C */
int ispow2(int x);/* Ispow2.C*/
longdouble ldfloor(long double a);/* Ldfloor.C */
int initlogscale(long dmax, long rmax);/* Logscale.C */
longlogscale(long d); /* Logscale.C */
floatMSBINToIEEE(float f); /* Msb2Ieee.C */
floatIEEEToMSBIN(float f); /* Msb2Ieee.C */
int perm_index (char pit[], int size);/* Perm_Idx.C */
int round_div(int n, int d); /* Rnd_Div.C */
longround_ldiv(long n, long d);/* Rnd_Div.C */
double rad2deg(double rad); /* Rad2Deg.C */
double deg2rad(double deg); /* Rad2Deg.C */
#include "pi.h"
#ifndef PHI
#define PHI ((1.0+sqrt(5.0))/2.0) /* the golden number*/
#define INV_PHI (1.0/PHI) /* the golden ratio */
#endif
/*
** File: ISQRT.C
*/
struct int_sqrt {
unsigned sqrt,
frac;
};
void usqrt(unsigned long x, struct int_sqrt *q);
#endif /* SNIPMATH__H */
code:
Can't Copy and Paste this?
Click here for a copy-and-paste friendly version of this code!
Terms of Agreement:
By using this code, you agree to the following terms...
1) You may use this code in your own programs (and may compile it into a program and distribute it in compiled format for langauges that allow it) freely and with no charge.
2) You MAY NOT redistribute this code (for example to a web site) without written permission from the original author. Failure to do so is a violation of copyright laws.
3) You may link to this code from another website, but ONLY if it is not wrapped in a frame.
4) You will abide by any additional copyright restrictions which the author may have placed in the code or code's description.
//
/* +++Date last modified: 05-Jul-1997 */
/*
** ETPHI.c
**
** Compute Euler's Totient function, phi().
** phi(n) = the number of positive integers less than n
** which have no common factors with n
**
** Written by M. Stapleton of Graphic Bits
** public Domain
**
** Sep 7 1996
**
** Uses ISQRT.C, also in SNIPPETS
*/
#include "snipmath.h"
#undef ULONG
typedef unsigned long ULONG;
ULONG intsqrt(ULONG n);
static void dofact(ULONG i);
ULONG etphi(ULONG n);
static ULONG num, ph;
void dofact(ULONG i)
{
long p;
for (p = 0; (num % i) == 0; p++)
num /= i;
if (p)
{
ph *= i - 1;
while(--p)
ph *= i;
}
}
ULONG etphi(ULONG n)
{
ULONG i;
struct int_sqrt mi;
if (n<2)
return 0;
num = n;
ph = 1;
usqrt(n, &mi);
dofact(2);
dofact(3);
for (i = 5; (i <= mi.sqrt) && (num >= i); i += 6)
{
dofact(i);
if (num < i + 2)
break;
dofact(i + 2);
}
if (num > 1)
ph *= num - 1;
return ph;
}
#ifdef TEST
#include
#include
int main(int argc, char *argv[])
{
long n = 0;
if (argc > 1)
n = atol(argv[1]);
printf("etphi(%ld) = %ld\n", n, etphi(n));
return 0;
}
#endif