Museum

Home

Lab Overview

Retrotechnology Articles

⇒ Online Manual

Media Vault

Software Library

Restoration Projects

Artifacts Sought

Related Articles

dc(1)

bc(1)

MP(3X)                               BSD                                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 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 relatively
     prime.  mcmp returns a negative, 0 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 that 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 process
     dumps.

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

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

     The input and output routines need work.

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

Typewritten Software • bear@typewritten.org • Edmonds, WA 98026