X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/397041a943bdba47467a0393d7042c7fc99a5f3d..b817bfc642225b8c3c0b6a7e42d1fb949b61a606:/mp.h diff --git a/mp.h b/mp.h index f7a703c..8319173 100644 --- a/mp.h +++ b/mp.h @@ -1,6 +1,6 @@ /* -*-c-*- * - * $Id: mp.h,v 1.15 2002/10/15 19:18:31 mdw Exp $ + * $Id: mp.h,v 1.19 2004/04/08 01:36:15 mdw Exp $ * * Simple multiprecision arithmetic * @@ -27,58 +27,6 @@ * MA 02111-1307, USA. */ -/*----- Revision history --------------------------------------------------* - * - * $Log: mp.h,v $ - * Revision 1.15 2002/10/15 19:18:31 mdw - * New operation to negate numbers. - * - * Revision 1.14 2002/10/15 00:19:40 mdw - * Bit setting and clearing functions. - * - * Revision 1.13 2002/10/06 22:52:50 mdw - * Pile of changes for supporting two's complement properly. - * - * Revision 1.12 2001/06/16 12:57:43 mdw - * Move the @mpmont_factor@ structure and rename it now that it's used for - * Barrett simultaneous exponentiation too. - * - * Revision 1.11 2001/04/03 19:36:05 mdw - * Add some simple bitwise operations so that Perl can use them. - * - * Revision 1.10 2000/10/08 12:03:16 mdw - * Provide @mp_eq@ and @MP_EQ@ for rapidly testing equality of two - * integers. - * - * Revision 1.9 2000/07/29 17:03:31 mdw - * Add support for left-to-right bitscanning, for use in modular - * exponentiation. - * - * Revision 1.8 2000/06/22 19:02:01 mdw - * Add new functions. - * - * Revision 1.7 2000/06/17 11:45:09 mdw - * Major memory management overhaul. Added arena support. Use the secure - * arena for secret integers. Replace and improve the MP management macros - * (e.g., replace MP_MODIFY by MP_DEST). - * - * Revision 1.6 1999/12/10 23:19:46 mdw - * Minor bugfixes. New interface for suggested destinations. - * - * Revision 1.5 1999/11/22 20:50:37 mdw - * Add support for computing Jacobi symbols. - * - * Revision 1.4 1999/11/21 22:13:02 mdw - * Add mp version of MPX_BITS. - * - * Revision 1.3 1999/11/19 13:19:14 mdw - * Fix const annotation. - * - * Revision 1.2 1999/11/17 18:02:16 mdw - * New multiprecision integer arithmetic suite. - * - */ - #ifndef CATACOMB_MP_H #define CATACOMB_MP_H @@ -723,16 +671,22 @@ extern int mp_testbit(mp */*x*/, unsigned long /*n*/); extern mp *mp_setbit(mp */*d*/, mp */*x*/, unsigned long /*n*/); extern mp *mp_clearbit(mp */*d*/, mp */*x*/, unsigned long /*n*/); -/* --- @mp_lsl@, @mp_lsr@ --- * +/* --- @mp_lsl@, @mp_lslc@, @mp_lsr@ --- * * * Arguments: @mp *d@ = destination * @mp *a@ = source * @size_t n@ = number of bits to move * * Returns: Result, @a@ shifted left or right by @n@. + * + * Use: Bitwise shift operators. @mp_lslc@ fills the bits introduced + * on the right with ones instead of zeroes: it's used + * internally by @mp_lsl2c@, though it may be useful on its + * own. */ extern mp *mp_lsl(mp */*d*/, mp */*a*/, size_t /*n*/); +extern mp *mp_lslc(mp */*d*/, mp */*a*/, size_t /*n*/); extern mp *mp_lsr(mp */*d*/, mp */*a*/, size_t /*n*/); /* --- @mp_not2c@ --- * @@ -839,6 +793,14 @@ extern int mp_cmp(const mp */*a*/, const mp */*b*/); #define MP_CMP(a, op, b) (mp_cmp((a), (b)) op 0) +/* --- Other handy macros --- */ + +#define MP_ISNEG(x) ((x)->f & MP_NEG) +#define MP_ISZERO(x) (!MP_LEN(x)) +#define MP_ISPOS(x) (!MP_ISNEG(x) && !MP_ISZERO(x)) +#define MP_ISODD(x) (!MP_ISZERO(x) && ((x)->v[0] & 1u)) +#define MP_ISEVEN(x) (!MP_ISODD(x)) + /*----- Arithmetic operations ---------------------------------------------*/ /* --- @mp_neg@ --- * @@ -952,6 +914,20 @@ extern mp *mp_sqrt(mp */*d*/, mp */*a*/); extern void mp_gcd(mp **/*gcd*/, mp **/*xx*/, mp **/*yy*/, mp */*a*/, mp */*b*/); +/* -- @mp_modinv@ --- * + * + * Arguments: @mp *d@ = destination + * @mp *x@ = argument + * @mp *p@ = modulus + * + * Returns: The inverse %$x^{-1} \bmod p$%. + * + * Use: Computes a modular inverse. An assertion fails if %$p$% + * has no inverse. + */ + +extern mp *mp_modinv(mp */*d*/, mp */*x*/, mp */*p*/); + /* --- @mp_jacobi@ --- * * * Arguments: @mp *a@ = an integer less than @n@