X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/dfdacfdcd7e3376072506d6bdf69271a0e6bd2e0..b9a27a112e666cdf07b55e47856e5f0611d69a7b:/rabin.h diff --git a/rabin.h b/rabin.h index fca099d..d5ee9d3 100644 --- a/rabin.h +++ b/rabin.h @@ -1,6 +1,6 @@ /* -*-c-*- * - * $Id: rabin.h,v 1.3 1999/12/22 15:50:29 mdw Exp $ + * $Id: rabin.h,v 1.6 2002/01/13 13:42:53 mdw Exp $ * * Miller-Rabin primality test * @@ -30,6 +30,16 @@ /*----- 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. @@ -69,7 +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$% */ } rabin; /*----- Functions provided ------------------------------------------------*/ @@ -99,18 +109,20 @@ extern void rabin_create(rabin */*r*/, mp */*m*/); extern void rabin_destroy(rabin */*r*/); -/* --- @rabin_test@ --- * +/* --- @rabin_test@, @rabin_rtest@ --- * * * Arguments: @rabin *r@ = pointer to Rabin-Miller context * @mp *g@ = base to test the number against * - * Returns: Either @PGEN_FAIL@ if the test failed, or @PGEN_TRY@ + * Returns: Either @PGEN_FAIL@ if the test failed, or @PGEN_PASS@ * if it succeeded. * * Use: Performs a single iteration of the Rabin-Miller primality - * test. + * test. The @rtest@ variant assumes that %$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@ --- *