MP(3X)		    UNIX Programmer's Manual		   MP(3X)


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

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

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

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

     sdiv(a, n, q, r)
     MINT *a, *q;
     short n;
     short *r;

     MINT *itom(n)

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

     madd, msub and mult assign to c the sum, difference and pro-
     duct, respectively, of a and b.  mdiv assigns to q and r the
     quotient and remainder obtained from dividing a by b.  sdiv
     is like mdiv except that the divisor is a short integer n


Printed 11/26/99	  June 4, 1986				1


MP(3X)		    UNIX Programmer's Manual		   MP(3X)


     and the remainder is placed in a short whose address is
     given as r.  msqrt produces the integer square root of a in
     b and places the remainder in r.  rpow calculates in c the
     value of a raised to the (``regular'' integral) power n,
     while pow calculates this with a full multiple precision
     exponent b and the result is reduced modulo m.  gcd returns
     the greatest common denominator of a and b in c, and invert
     computes c such that a*c mod b = 1, for a and b relatively
     prime.  mcmp returns a negative, zero or positive integer
     value when a is less than, equal to or greater than b,
     respectively.  move copies a to b.  min and mout do decimal
     input and output while omin and omout do octal input and
     output.  More generally, fmin and fmout do decimal input and
     output using file f, and m_in and m_out do I/O with arbi-
     trary radix n.  On input, records should have the form of
     strings of digits terminated by a newline; output records
     have a similar form.

     Programs which use the multiple-precision arithmetic library
     must be loaded using the loader flag -lmp.

FILES
     /usr/include/mp.h	 include file
     /usr/lib/libmp.a	 object code library

SEE ALSO
     dc(1), bc(1)

DIAGNOSTICS
     Illegal operations and running out of memory produce mes-
     sages and core images.

BUGS
     Bases for input and output should be <= 10.

     dc(1) and bc(1) don't use this library.

     The input and output routines are a crock.

     pow is also the name of a standard math library routine.


Printed 11/26/99	  June 4, 1986				2


 
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