MP(3X)                                                                  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 pre‐
       cision 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 function 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  product,
       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 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 rel‐
       atively 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
       arbitrary  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 messages 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.


4.3 Berkeley Distribution        June 4, 1986                           MP(3X)
 
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