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LIBMP(3)		     Library Functions Manual			LIBMP(3)

NAME
     libmp -- traditional BSD multiple precision integer arithmetic library

SYNOPSIS
     #include <mp.h>

     Function prototypes are given in the main body of the text.

     Applications using this interface must be linked with -lmp (this library)
     and -lcrypto (crypto(3)).

DESCRIPTION
     This interface is obsolete in favor of the crypto(3) BIGNUM library.

     libmp is the traditional BSD multiple precision integer arithmetic library.
     It  has  a  number  of  problems, and is unsuitable for use in any programs
     where reliability is a concern.  It  is  provided	here  for  compatibility
     only.

     These routines perform arithmetic on integers of arbitrary precision stored
     using  the  defined  type	MINT.	Pointers  to  MINT are initialized using
     mp_itom() or mp_xtom(), and must be recycled with mp_mfree() when they  are
     no  longer needed.  Routines which store a result in one of their arguments
     expect that the latter has also been initialized prior to being  passed  to
     it.  The following routines are defined and implemented:

     MINT *mp_itom(short n);

     MINT *mp_xtom(const char *s);

     char *mp_mtox(const MINT *mp);

     void mp_mfree(MINT *mp);

	   mp_itom() returns an MINT with the value of n.  mp_xtom() returns an
	   MINT with the value of s, which is treated to be in hexadecimal.  The
	   return values from mp_itom() and mp_xtom() must be released with
	   mp_mfree() when they are no longer needed.  mp_mtox() returns a null-
	   terminated hexadecimal string having the value of mp; its return
	   value must be released with free() (free(3)) when it is no longer
	   needed.

     void mp_madd(const MINT *mp1, const MINT *mp2, MINT *rmp);

     void mp_msub(const MINT *mp1, const MINT *mp2, MINT *rmp);

     void mp_mult(const MINT *mp1, const MINT *mp2, MINT *rmp);

	   mp_madd(), mp_msub(), and mp_mult() store the sum, difference, or
	   product, respectively, of mp1 and mp2 in rmp.

     void mp_mdiv(const MINT *nmp, const MINT *dmp, MINT *qmp, MINT *rmp);

     void mp_sdiv(const MINT *nmp, short d, MINT *qmp, short *ro);

	   mp_mdiv() computes the quotient and remainder of nmp and dmp and
	   stores the result in qmp and rmp, respectively.  mp_sdiv() is similar
	   to mp_mdiv() except the divisor (dmp or d) and remainder (rmp or ro)
	   are ordinary integers.

     void mp_pow(const MINT *bmp, const MINT *emp, const MINT *mmp, MINT *rmp);

     void mp_rpow(const MINT *bmp, short e, MINT *rmp);

	   mp_rpow() computes the result of bmp raised to the empth power and
	   reduced modulo mmp; the result is stored in rmp.  mp_pow() computes
	   the result of bmp raised to the eth power and stores the result in
	   rmp.

     void mp_min(MINT *mp);

     void mp_mout(const MINT *mp);

	   mp_min() reads a line from standard input, tries to interpret it as a
	   decimal number, and if successful, stores the result in mp.
	   mp_mout() prints the value, in decimal, of mp to standard output
	   (without a trailing newline).

     void mp_gcd(const MINT *mp1, const MINT *mp2, MINT *rmp);

	   mp_gcd() computes the greatest common divisor of mp1 and mp2 and
	   stores the result in rmp.

     int mp_mcmp(const MINT *mp1, const MINT *mp2);

	   mcmp compares the values of mp1 and mp2 and returns 0 if the two val-
	   ues are equal, a value greater than 0 if mp1 is greater than mp2, and
	   a value less than 0 if mp2 is greater than mp1.

     void mp_move(const MINT *smp, MINT *tmp);

	   mp_move() copies the value of smp to tmp (both values must be ini-
	   tialized).

     void mp_msqrt(const MINT *nmp, MINT *xmp, MINT *rmp);

	   mp_msqrt() computes the square root and remainder of nmp and stores
	   them in xmp and rmp, respectively.

IMPLEMENTATION NOTES
     This  version  of libmp is implemented in terms of the crypto(3) BIGNUM li-
     brary.

DIAGNOSTICS
     Running out of memory or illegal operations result  in  error  messages  on
     standard error and a call to abort(3).

SEE ALSO
     abort(3), bn(3), crypto(3), free(3), malloc(3), math(3)

HISTORY
     A	libmp  library appeared in 4.3BSD.  FreeBSD 2.2 shipped with a libmp im-
     plemented in terms of libgmp.  This implementation appeared in FreeBSD 5.0.

BUGS
     Errors are reported via output to standard error and abnormal program  ter-
     mination instead of via return values.  The application cannot control this
     behavior.

     It  is not clear whether the string returned by mp_mtox() may be written to
     by the caller.  This implementation allows it, but others	may  not.   Ide-
     ally, mp_mtox() would take a pointer to a buffer to fill in.

     It is not clear whether using the same variable as both source and destina-
     tion in a single invocation is permitted.	Some of the calls in this imple-
     mentation allow this, while others do not.

FreeBSD ports 15.quarterly	September 7, 1989			LIBMP(3)

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