X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/dbfee00a86609283c4633df870692be3db9bc5e4..8823192f6413bed15cfa884ed3a3cbbb97885657:/exp.h diff --git a/exp.h b/exp.h index 6cfdfd8..fc9e3a9 100644 --- a/exp.h +++ b/exp.h @@ -1,6 +1,6 @@ /* -*-c-*- * - * $Id: exp.h,v 1.1 2001/06/16 13:00:59 mdw Exp $ + * $Id: exp.h,v 1.1.4.1 2004/03/20 00:13:31 mdw Exp $ * * Generalized exponentiation * @@ -30,6 +30,9 @@ /*----- Revision history --------------------------------------------------* * * $Log: exp.h,v $ + * Revision 1.1.4.1 2004/03/20 00:13:31 mdw + * Projective coordinates for prime curves + * * Revision 1.1 2001/06/16 13:00:59 mdw * New generic exponentation code. Includes sliding-window simultaneous * exponentiation. @@ -99,6 +102,10 @@ typedef struct exp_simul { * @EXP_MUL(a, x)@ Multiplies @a@ by @x@ (writing the result * back to @a@). * + * @EXP_FIX(x)@ Makes @x@ be a canonical representation of + * its value. All multiplications have the + * right argument canonical. + * * @EXP_SQR(a)@ Multiplies @a@ by itself. * * @EXP_SETMUL(d, x, y)@ Sets @d@ to be the product of @x@ and @y@. @@ -140,6 +147,7 @@ typedef struct exp_simul { \ /* --- Do the main body of the work --- */ \ \ + EXP_FIX(g); \ for (;;) { \ EXP_MUL(a, g); \ sq = 0; \ @@ -184,11 +192,15 @@ exp_simple_exit:; \ \ /* --- Do the precomputation --- */ \ \ + EXP_FIX(g); \ EXP_SETSQR(g2, g); \ + EXP_FIX(g2); \ v = xmalloc(EXP_TABSZ * sizeof(EXP_TYPE)); \ EXP_COPY(v[0], g); \ - for (i = 1; i < EXP_TABSZ; i++) \ + for (i = 1; i < EXP_TABSZ; i++) { \ EXP_SETMUL(v[i], v[i - 1], g2); \ + EXP_FIX(v[i]); \ + } \ EXP_DROP(g2); \ \ /* --- Skip top-end zero bits --- * \ @@ -286,17 +298,21 @@ exp_window_exit:; \ j = 1; \ for (i = 0; i < n; i++) { \ EXP_COPY(v[j], f[n - 1 - i].base); \ + EXP_FIX(v[j]); \ j <<= 1; \ } \ k = n * EXP_WINSZ; \ jj = 1; \ for (; i < k; i++) { \ EXP_SETSQR(v[j], v[jj]); \ + EXP_FIX(v[j]); \ j <<= 1; jj <<= 1; \ } \ for (i = 1; i < vn; i <<= 1) { \ - for (j = 1; j < i; j++) \ + for (j = 1; j < i; j++) { \ EXP_SETMUL(v[j + i], v[j], v[i]); \ + EXP_FIX(v[j + i]); \ + } \ } \ \ /* --- Set up the bitscanners --- * \ @@ -381,7 +397,7 @@ exp_window_exit:; \ \ exp_simul_done: \ while (sq--) EXP_SQR(a); \ - for (i = 1; i < vn; i++) \ + for (i = 1; i < vn; i++) \ EXP_DROP(v[i]); \ xfree(v); \ } while (0)