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mp(3)									 mp(3)

NAME
       mp,  madd, msub, mult, mdiv, gcd, invert, rpow, msqrt, mcmp, min, omin,
       fmin, m_in, mout, omout, fmout, m_out, sdiv, itom  -  Perform  multiple
       precision integer arithmetic

SYNOPSIS
       #include <mp.h> #include <stdio.h>

       typedef struct mint {int len; short *val; } MINT

       void madd(
	       MINT *a,
	       MINT *b,
	       MINT *c ); void msub(
	       MINT *a,
	       MINT *b,
	       MINT *c ); void mult(
	       MINT *a,
	       MINT *b,
	       MINT *c ); void mdiv(
	       MINT *a,
	       MINT *b,
	       MINT *q,
	       MINT *r ); void pow(
	       MINT *a,
	       MINT *b,
	       MINT *m,
	       MINT *c ); void gcd(
	       MINT *a,
	       MINT *b,
	       MINT *c ); void invert(
	       MINT *a,
	       MINT *b,
	       MINT *c ); void rpow(
	       MINT *a,
	       int n,
	       MINT *c ); int msqrt(
	       MINT *a,
	       MINT *b,
	       MINT *r ); int mcmp(
	       MINT *a,
	       MINT *b ); int mcmp(
	       MINT *a,
	       MINT *b ); void move(
	       MINT *a,
	       MINT *b ); int min(
	       MINT *a ); int omin(
	       MINT *a ); int fmin(
	       MINT *a,
	       FILE *f ); int m_in(
	       MINT *a,
	       int n,
	       FILE *f ); void mout(
	       MINT *a ); void omout(
	       MINT *a ); void fmout(
	       MINT *a,
	       FILE *f ); void m_mout(
	       MINT *a,
	       int n,
	       FILE *f ); void sdiv(
	       MINT *a,
	       short n,
	       MINT *q,
	       short *r ); MINT *itom(
	       short n );

LIBRARY
       Object Code Library (libmp.a)

       Curses Library (libcurses)

DESCRIPTION
       These functions perform arithmetic on integers of arbitrary length. The
       integers are stored using the defined type MINT. Pointers to a MINT can
       be  initialized	using theitom() function, which sets the initial value
       to n. After that, space is managed automatically by the routines.

       The madd(), msub() , and mult() functions assign to c the sum,  differ‐
       ence, and product, respectively, of a and b.

       The  mdiv()  function  assigns  to  q  and r the quotient and remainder
       obtained from dividing a by b.  The sdiv() function is like the	mdiv()
       function except that the divisor is a short integer n and the remainder
       is placed in a short integer whose address is given as r.

       The msqrt() function produces the integer square root of	 a  in	b  and
       places the remainder in r.

       The  rpow()  function  calculates  in  c	 the  value of a raised to the
       (``regular'' integral) power n, while  the  pow()  function  calculates
       this  with  a  full  multiple  precision	 exponent  b and the result is
       reduced modulo m.

       The gcd() function returns the greatest common denominator of a	and  b
       in c, and the invert() function computes c such that a*c mod b = 1, for
       a and b relatively prime.

       The mcmp() function returns a negative, zero, or positive integer value
       when a is less than, equal to, or greater than b, respectively.

       The move() function copies a to b.

       The  min()  and	mout() functions do decimal input and output while the
       omin() and omout() functions do octal input and output. More generally,
       the fmin() and fmout() functions do decimal input and output using file
       f, and m_in() and m_out do input and output with arbitrary radix n.

       On input, records should have the form of strings of digits  terminated
       by a newline; output records have a similar form.

NOTES
       Programs	 which	use  the multiple-precision arithmetic library must be
       compiled with -lmp.

									 mp(3)
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