X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/02d7884df1f33c9c7dc3a14c4b1a5f520ebe090a..025c5f4aa5ffbf8948482a4233318db81c2df5d2:/mp.h diff --git a/mp.h b/mp.h index bfed14a..aa9bbac 100644 --- a/mp.h +++ b/mp.h @@ -1,6 +1,6 @@ /* -*-c-*- * - * $Id: mp.h,v 1.18 2004/04/03 03:32:05 mdw Exp $ + * $Id$ * * Simple multiprecision arithmetic * @@ -27,67 +27,6 @@ * MA 02111-1307, USA. */ -/*----- Revision history --------------------------------------------------* - * - * $Log: mp.h,v $ - * Revision 1.18 2004/04/03 03:32:05 mdw - * General robustification. - * - * Revision 1.17 2003/05/16 09:09:24 mdw - * Fix @mp_lsl2c@. Turns out to be surprisingly tricky. - * - * Revision 1.16 2002/10/15 22:57:22 mdw - * Handy new comparison macros. - * - * 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 @@ -424,7 +363,7 @@ extern void mp_shrink(mp */*m*/); #define MP_SHRINK(m) do { \ mp *_mm = (m); \ MPX_SHRINK(_mm->v, _mm->vl); \ - if (!MP_LEN(_mm)) \ + if (MP_ZEROP(_mm)) \ _mm->f &= ~MP_NEG; \ } while (0) @@ -856,11 +795,11 @@ extern int mp_cmp(const mp */*a*/, const mp */*b*/); /* --- 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)) +#define MP_NEGP(x) ((x)->f & MP_NEG) +#define MP_ZEROP(x) (!MP_LEN(x)) +#define MP_POSP(x) (!MP_NEGP(x) && !MP_ZEROP(x)) +#define MP_ODDP(x) (!MP_ZEROP(x) && ((x)->v[0] & 1u)) +#define MP_EVENP(x) (!MP_ODDP(x)) /*----- Arithmetic operations ---------------------------------------------*/ @@ -927,6 +866,17 @@ extern mp *mp_sqr(mp */*d*/, mp */*a*/); extern void mp_div(mp **/*qq*/, mp **/*rr*/, mp */*a*/, mp */*b*/); +/* --- @mp_exp@ --- * + * + * Arguments: @mp *d@ = fake destination + * @mp *a@ = base + * @mp *e@ = exponent + * + * Returns: Result, %$a^e$%. + */ + +extern mp *mp_exp(mp */*d*/, mp */*a*/, mp */*e*/); + /* --- @mp_odd@ --- * * * Arguments: @mp *d@ = pointer to destination integer @@ -975,6 +925,20 @@ 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@