X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/0f5ec153dcb1c20a765d0420cc189ebac1b9682d..2b645fb792c62ae0d38fcde4c39e1bd0889b0e06:/rabin.h diff --git a/rabin.h b/rabin.h index ed08aeb..d5ee9d3 100644 --- a/rabin.h +++ b/rabin.h @@ -1,6 +1,6 @@ /* -*-c-*- * - * $Id: rabin.h,v 1.1 1999/11/19 13:17:57 mdw Exp $ + * $Id: rabin.h,v 1.6 2002/01/13 13:42:53 mdw Exp $ * * Miller-Rabin primality test * @@ -30,13 +30,30 @@ /*----- Revision history --------------------------------------------------* * * $Log: rabin.h,v $ + * Revision 1.6 2002/01/13 13:42:53 mdw + * More efficient Rabin-Miller test: with random witnesses, skip redundant + * Montgomerization. (Being bijective, it can't affect the distribution.) + * + * Revision 1.5 2000/07/09 21:32:16 mdw + * rabin_test: Correct error in comment. + * + * Revision 1.4 2000/06/17 11:52:48 mdw + * Typesetting fix. + * + * Revision 1.3 1999/12/22 15:50:29 mdw + * Reworking for new prime-search system. Add function for working out how + * many iterations to use for a particular number. + * + * Revision 1.2 1999/12/10 23:29:48 mdw + * Change header file guard names. + * * Revision 1.1 1999/11/19 13:17:57 mdw * Prime number generator and tester. * */ -#ifndef RABIN_H -#define RABIN_H +#ifndef CATACOMB_RABIN_H +#define CATACOMB_RABIN_H #ifdef __cplusplus extern "C" { @@ -44,16 +61,16 @@ /*----- Header files ------------------------------------------------------*/ -#ifndef MP_H +#ifndef CATACOMB_MP_H # include "mp.h" #endif -#ifndef MPMONT_H +#ifndef CATACOMB_MPMONT_H # include "mpmont.h" #endif -#ifndef PGEN_H -# include "pgen.h" +#ifndef CATACOMB_PFILT_H +# include "pfilt.h" #endif /*----- Data structures ---------------------------------------------------*/ @@ -62,7 +79,7 @@ typedef struct rabin { mpmont mm; /* Montgomery arithmetic context */ size_t s; /* %$m = 2^s r + 1$% */ mp *r; /* %$m = 2^s r + 1$% */ - mp *m1; /* %$(m - 1)R \bmod m */ + mp *m1; /* %$(m - 1)R \bmod m$% */ } rabin; /*----- Functions provided ------------------------------------------------*/ @@ -92,20 +109,34 @@ extern void rabin_create(rabin */*r*/, mp */*m*/); extern void rabin_destroy(rabin */*r*/); -/* --- @rabin_test@ --- * +/* --- @rabin_test@, @rabin_rtest@ --- * * * Arguments: @rabin *r@ = pointer to Rabin-Miller context * @mp *g@ = base to test the number against * - * Returns: Either @PGEN_COMPOSITE@ if the test failed, or @PGEN_MAYBE@ + * Returns: Either @PGEN_FAIL@ if the test failed, or @PGEN_PASS@ * if it succeeded. * * Use: Performs a single iteration of the Rabin-Miller primality - * test. + * test. The @rtest@ variant assumes that %$g$% is either + * already in Montgomery representation, or you don't care. */ +extern int rabin_rtest(rabin */*r*/, mp */*g*/); extern int rabin_test(rabin */*r*/, mp */*g*/); +/* --- @rabin_iters@ --- * + * + * Arguments: @unsigned len@ = number of bits in value + * + * Returns: Number of iterations recommended. + * + * Use: Returns the recommended number of iterations to ensure that a + * number with @len@ bits is really prime. + */ + +extern int rabin_iters(unsigned /*len*/); + /*----- That's all, folks -------------------------------------------------*/ #ifdef __cplusplus