/* -*-c-*-
*
- * $Id: ec-bin.c,v 1.9 2004/04/08 01:36:15 mdw Exp $
+ * $Id$
*
* Arithmetic for elliptic curves over binary fields
*
#include <mLib/sub.h>
#include "ec.h"
-
-/*----- Data structures ---------------------------------------------------*/
-
-typedef struct ecctx {
- ec_curve c;
- mp *bb;
-} ecctx;
+#include "ec-guts.h"
/*----- Main code ---------------------------------------------------------*/
EC_SETINF(d);
else {
field *f = c->f;
- ecctx *cc = (ecctx *)c;
+ ecctx_bin *cc = (ecctx_bin *)c;
mp *dx, *dy, *dz, *u, *v;
dy = F_SQR(f, MP_NEW, a->z); /* %$z^2$% */
static void ecdestroy(ec_curve *c)
{
- ecctx *cc = (ecctx *)c;
+ ecctx_bin *cc = (ecctx_bin *)c;
MP_DROP(cc->c.a);
MP_DROP(cc->c.b);
if (cc->bb) MP_DROP(cc->bb);
ec_curve *ec_bin(field *f, mp *a, mp *b)
{
- ecctx *cc = CREATE(ecctx);
+ ecctx_bin *cc = CREATE(ecctx_bin);
cc->c.ops = &ec_binops;
cc->c.f = f;
cc->c.a = F_IN(f, MP_NEW, a);
ec_curve *ec_binproj(field *f, mp *a, mp *b)
{
- ecctx *cc = CREATE(ecctx);
+ ecctx_bin *cc = CREATE(ecctx_bin);
+ int i;
+ mp *c, *d;
+
cc->c.ops = &ec_binprojops;
cc->c.f = f;
cc->c.a = F_IN(f, MP_NEW, a);
cc->c.b = F_IN(f, MP_NEW, b);
- cc->bb = F_SQRT(f, MP_NEW, cc->c.b);
- if (cc->bb)
- cc->bb = F_SQRT(f, cc->bb, cc->bb);
- if (!cc->bb) {
+
+ c = MP_COPY(cc->c.b);
+ for (i = 0; i < f->nbits - 2; i++)
+ c = F_SQR(f, c, c);
+ d = F_SQR(f, MP_NEW, c); d = F_SQR(f, d, d);
+ if (!MP_EQ(d, cc->c.b)) {
+ MP_DROP(c);
+ MP_DROP(d);
MP_DROP(cc->c.a);
MP_DROP(cc->c.b);
DESTROY(cc);
return (0);
}
+ cc->bb = c;
+ MP_DROP(d);
return (&cc->c);
}
static const ec_ops ec_binops = {
+ "bin",
ecdestroy, ec_stdsamep, ec_idin, ec_idout, ec_idfix,
ecfind, ecneg, ecadd, ec_stdsub, ecdbl, eccheck
};
static const ec_ops ec_binprojops = {
+ "binproj",
ecdestroy, ec_stdsamep, ec_projin, ec_projout, ec_projfix,
ecfind, ecprojneg, ecprojadd, ec_stdsub, ecprojdbl, ecprojcheck
};