X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/893c6259cd5d374f540e54def522dcd251c4c503..d34decd2b2b88240cf4ca68a2a5feb7bf36de6e7:/mprand.c diff --git a/mprand.c b/mprand.c index 41c2b39..d4acbb3 100644 --- a/mprand.c +++ b/mprand.c @@ -1,6 +1,6 @@ /* -*-c-*- * - * $Id: mprand.c,v 1.1 1999/12/10 23:23:05 mdw Exp $ + * $Id: mprand.c,v 1.3 2000/06/17 11:45:09 mdw Exp $ * * Generate a random multiprecision integer * @@ -30,6 +30,14 @@ /*----- Revision history --------------------------------------------------* * * $Log: mprand.c,v $ + * Revision 1.3 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 1.2 1999/12/22 15:55:33 mdw + * Modify `mprand' slightly. Add `mprand_range'. + * * Revision 1.1 1999/12/10 23:23:05 mdw * Support for generating random large integers. * @@ -63,8 +71,9 @@ mp *mprand(mp *d, unsigned b, grand *r, mpw or) { - size_t sz = (b + 7) / 8; - octet *v = xmalloc(sz); + size_t sz = (b + 7) >> 3; + arena *a = (d && (d->f & MP_BURN)) ? arena_secure : arena_global; + octet *v = x_alloc(a, sz); unsigned m; /* --- Fill buffer with random data --- */ @@ -76,7 +85,7 @@ mp *mprand(mp *d, unsigned b, grand *r, mpw or) * This is slightly tricky. Oh, well. */ - b = (b - 1) % 8; + b = (b - 1) & 7; m = (1 << b); v[0] = (v[0] & (m - 1)) | m; @@ -84,7 +93,63 @@ mp *mprand(mp *d, unsigned b, grand *r, mpw or) d = mp_loadb(d, v, sz); d->v[0] |= or; - free(v); + memset(v, 0, sz); + x_free(a, v); + return (d); +} + +/* --- @mprand_range@ --- * + * + * Arguments: @mp *d@ = destination integer + * @mp *l@ = limit for random number + * @grand *r@ = random number source + * @mpw or@ = mask for low-order bits + * + * Returns: A pseudorandom integer, unformly distributed over the + * interval %$[0, l)$%. + * + * Use: Generates a uniformly-distributed pseudorandom number in the + * appropriate range. + */ + +mp *mprand_range(mp *d, mp *l, grand *r, mpw or) +{ + size_t b = mp_bits(l); + size_t sz = (b + 7) >> 3; + arena *a = (d && (d->f & MP_BURN)) ? arena_secure : arena_global; + octet *v = x_alloc(a, sz); + unsigned m; + + /* --- The algorithm --- * + * + * Rather simpler than most. Find the number of bits in the number %$l$% + * (i.e., the integer %$b$% such that %$2^{b - 1} \le l < 2^b$%), and + * generate pseudorandom integers with %$n$% bits (but not, unlike in the + * function above, with the top bit forced to 1). If the integer is + * greater than or equal to %$l$%, try again. + * + * This is similar to the algorithms used in @lcrand_range@ and friends, + * except that I've forced the `raw' range of the random numbers such that + * %$l$% itself is the largest multiple of %$l$% in the range (since, by + * the inequality above, %$2^b \le 2l$%). This removes the need for costly + * division and remainder operations. + * + * As usual, the number of iterations expected is two. + */ + + b = (b - 1) & 7; + m = (1 << b) - 1; + do { + r->ops->fill(r, v, sz); + v[0] &= m; + d = mp_loadb(d, v, sz); + d->v[0] |= or; + } while (MP_CMP(d, >=, l)); + + /* --- Done --- */ + + memset(v, 0, sz); + x_free(a, v); return (d); }