X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/b9a27a112e666cdf07b55e47856e5f0611d69a7b..b085fd9162fa3ff5b16788ced6d11a71ffe5a5fe:/ec.c diff --git a/ec.c b/ec.c index 37d8ad3..ce4e428 100644 --- a/ec.c +++ b/ec.c @@ -1,6 +1,6 @@ /* -*-c-*- * - * $Id: ec.c,v 1.2 2001/05/07 17:29:44 mdw Exp $ + * $Id: ec.c,v 1.3 2002/01/13 13:48:44 mdw Exp $ * * Elliptic curve definitions * @@ -30,6 +30,9 @@ /*----- Revision history --------------------------------------------------* * * $Log: ec.c,v $ + * Revision 1.3 2002/01/13 13:48:44 mdw + * Further progress. + * * Revision 1.2 2001/05/07 17:29:44 mdw * Treat projective coordinates as an internal representation. Various * minor interface changes. @@ -42,6 +45,7 @@ /*----- Header files ------------------------------------------------------*/ #include "ec.h" +#include "ec-exp.h" /*----- Trivial wrappers --------------------------------------------------*/ @@ -186,6 +190,28 @@ ec *ec_projout(ec_curve *c, ec *d, const ec *p) return (d); } +/* --- @ec_stdsub@ --- * + * + * Arguments: @ec_curve *c@ = pointer to an elliptic curve + * @ec *d@ = pointer to the destination + * @const ec *a, *b@ = the operand points + * + * Returns: The destination @d@. + * + * Use: Standard point subtraction operation, in terms of negation + * and addition. This isn't as efficient as a ready-made + * subtraction operator. + */ + +ec *ec_stdsub(ec_curve *c, ec *d, const ec *a, const ec *b) +{ + ec t = EC_INIT; + EC_NEG(c, &t, b); + EC_SUB(c, d, a, &t); + EC_DESTROY(&t); + return (d); +} + /*----- Real arithmetic ---------------------------------------------------*/ /* --- @ec_find@ --- * @@ -249,65 +275,42 @@ ec *ec_dbl(ec_curve *c, ec *d, const ec *p) return (EC_OUT(c, d, d)); } -/* --- @ec_mul@ --- * +/* --- @ec_imul@, @ec_mul@ --- * * * Arguments: @ec_curve *c@ = pointer to an elliptic curve * @ec *d@ = pointer to the destination point * @const ec *p@ = pointer to the generator point * @mp *n@ = integer multiplier * - * Returns: --- + * Returns: The destination @d@. * - * Use: Multiplies a point by a scalar, returning %$n p$%. + * Use: Multiplies a point by a scalar, returning %$n p$%. The + * @imul@ variant uses internal representations for argument + * and result. */ -ec *ec_mul(ec_curve *c, ec *d, const ec *p, mp *n) +ec *ec_imul(ec_curve *c, ec *d, const ec *p, mp *n) { - mpscan sc; - ec g = EC_INIT; - unsigned sq = 0; + ec t = EC_INIT; + EC_COPY(&t, p); + if (t.x && (n->f & MP_BURN)) + t.x->f |= MP_BURN; + MP_SHRINK(n); EC_SETINF(d); - if (EC_ATINF(p)) - return; - - mp_rscan(&sc, n); - if (!MP_RSTEP(&sc)) - goto exit; - while (!MP_RBIT(&sc)) - MP_RSTEP(&sc); - - EC_IN(c, &g, p); - if ((n->f & MP_BURN) && !(g.x->f & MP_BURN)) - MP_DEST(g.x, 0, MP_BURN); - if ((n->f & MP_BURN) && !(g.y->f & MP_BURN)) - MP_DEST(g.y, 0, MP_BURN); - - for (;;) { - EC_ADD(c, d, d, &g); - sq = 0; - for (;;) { - if (!MP_RSTEP(&sc)) - goto done; - if (MP_RBIT(&sc)) - break; - sq++; - } - sq++; - while (sq) { - EC_DBL(c, d, d); - sq--; - } - } - -done: - while (sq) { - EC_DBL(c, d, d); - sq--; - } + if (MP_LEN(n) == 0) + ; + else if (MP_LEN(n) < EXP_THRESH) + EXP_SIMPLE(&d, t, n); + else + EXP_WINDOW(&d, t, n); + return (d); +} - EC_DESTROY(&g); -exit: +ec *ec_mul(ec_curve *c, ec *d, const ec *p, mp *n) +{ + EC_IN(c, d, p); + ec_imul(c, d, d, n); return (EC_OUT(c, d, d)); }