.\" Copyright (c) 1986 Regents of the University of California. .\" All rights reserved. The Berkeley software License Agreement .\" specifies the terms and conditions for redistribution. .\" .\" @(#)mp.3x 6.4 (Berkeley) 6/4/86 .\" .TH MP 3X "June 4, 1986" .UC 6 .SH 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 .SH SYNOPSIS .nf .B #include <mp.h> .B #include <stdio.h> .PP .B "typedef struct mint { int len; short *val; } MINT;" .PP .B madd(a, b, c) .B msub(a, b, c) .B mult(a, b, c) .B mdiv(a, b, q, r) .B pow(a, b, m, c) .B gcd(a, b, c) .B invert(a, b, c) .B rpow(a, n, c) .B msqrt(a, b, r) .B mcmp(a, b) .B move(a, b) .B min(a) .B omin(a) .B fmin(a, f) .B m_in(a, n, f) .B mout(a) .B omout(a) .B fmout(a, f) .B m_out(a, n, f) .B MINT *a, *b, *c, *m, "*q, *r;" .B FILE *f; .B int n; .PP .B sdiv(a, n, q, r) .B MINT *a, *q; .B short n; .B short *r; .PP .B MINT *itom(n) .SH DESCRIPTION These routines perform arithmetic on integers of arbitrary length. The integers are stored using the defined type .IR MINT . Pointers to a .I MINT can be initialized using the function .I itom which sets the initial value to .IR n . After that, space is managed automatically by the routines. .PP .IR madd , " msub " and " mult" assign to .I c the sum, difference and product, respectively, of .IR a " and " b . .I mdiv assigns to .IR q " and " r the quotient and remainder obtained from dividing .IR a " by " b. .I sdiv is like .I mdiv except that the divisor is a short integer .I n and the remainder is placed in a short whose address is given as .IR r . .I msqrt produces the integer square root of .IR a " in " b and places the remainder in .IR r . .I rpow calculates in .I c the value of .I a raised to the (``regular'' integral) power .IR n , while .I pow calculates this with a full multiple precision exponent .I b and the result is reduced modulo .IR m . .I gcd returns the greatest common denominator of .IR a " and " b " in " c , and .I invert computes .IR c " such that " a*c " mod " b " = 1," for .IR a " and " b relatively prime. .I mcmp returns a negative, zero or positive integer value when .I a is less than, equal to or greater than .IR b , respectively. .I move copies .IR a " to " b . .IR min " and " mout do decimal input and output while .IR omin " and " omout do octal input and output. More generally, .IR fmin " and " fmout do decimal input and output using file .IR f , and .IR m_in " and " m_out do I/O with arbitrary radix .IR n . On input, records should have the form of strings of digits terminated by a newline; output records have a similar form. .PP Programs which use the multiple-precision arithmetic library must be loaded using the loader flag .IR \-lmp . .SH FILES .ta 2i /usr/include/mp.h include file .br /usr/lib/libmp.a object code library .SH SEE ALSO dc(1), bc(1) .SH DIAGNOSTICS Illegal operations and running out of memory produce messages and core images. .SH BUGS Bases for input and output should be <= 10. .PP .IR dc (1) and .IR bc (1) don't use this library. .PP The input and output routines are a crock. .PP .I pow is also the name of a standard math library routine.