Content-type: text/html Man page of mp

mp

Section: C Library Functions (3)

NAME

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

LIBRARY

Object Code Library (libmp.a)

SYNOPSIS

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

typedef struct mint { int len; short *val; } MINT; madd(        MINT *a,
MINT *b,
MINT *c );

msub(        MINT *a,
MINT *b,
MINT *c );

mult(        MINT *a,
MINT *b,
MINT *c );

mdiv(        MINT *a,
MINT *b,
MINT *q,
MINT *r );

pow(        MINT *a,
MINT *b,
MINT *m,
MINT *c );

gcd(        MINT *a,
MINT *b,
MINT *c );

invert(        MINT *a,
MINT *b,
MINT *c );

rpow(        MINT *a,
int n,
MINT *c );

msqrt(        MINT *a,
MINT *b,
MINT *r );

mcmp(        MINT *a,
MINT *b );

move(        MINT *a,
MINT *b );

min(        MINT *a );

omin(        MINT *a );

fmin(        MINT *a,
FILE *f );

m_in(        MINT *a,
int n,
FILE *f );

mout(        MINT *a );

omout(        MINT *a );

fmout(        MINT *a,
FILE *f );

m_out(        MINT *a,
int n,
FILE *f );

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

*itom(        short n );

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 the itom() 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, difference, 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. delim off

Index

NAME
LIBRARY
SYNOPSIS
DESCRIPTION
NOTES

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Time: 02:42:29 GMT, October 02, 2010