/* -*-c-*-
*
- * $Id: f-prime.c,v 1.11 2004/04/03 03:32:05 mdw Exp $
+ * $Id$
*
* Prime fields with Montgomery arithmetic
*
* (c) 2001 Straylight/Edgeware
*/
-/*----- Licensing notice --------------------------------------------------*
+/*----- Licensing notice --------------------------------------------------*
*
* This file is part of Catacomb.
*
* it under the terms of the GNU Library General Public License as
* published by the Free Software Foundation; either version 2 of the
* License, or (at your option) any later version.
- *
+ *
* Catacomb is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU Library General Public License for more details.
- *
+ *
* You should have received a copy of the GNU Library General Public
* License along with Catacomb; if not, write to the Free
* Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
* MA 02111-1307, USA.
*/
-/*----- Revision history --------------------------------------------------*
- *
- * $Log: f-prime.c,v $
- * Revision 1.11 2004/04/03 03:32:05 mdw
- * General robustification.
- *
- * Revision 1.10 2004/04/02 01:03:49 mdw
- * Miscellaneous constification.
- *
- * Revision 1.9 2004/04/01 21:28:41 mdw
- * Normal basis support (translates to poly basis internally). Rewrite
- * EC and prime group table generators in awk, so that they can reuse data
- * for repeated constants.
- *
- * Revision 1.8 2004/04/01 12:50:09 mdw
- * Add cyclic group abstraction, with test code. Separate off exponentation
- * functions for better static linking. Fix a buttload of bugs on the way.
- * Generally ensure that negative exponents do inversion correctly. Add
- * table of standard prime-field subgroups. (Binary field subgroups are
- * currently unimplemented but easy to add if anyone ever finds a good one.)
- *
- * Revision 1.7 2004/03/27 17:54:11 mdw
- * Standard curves and curve checking.
- *
- * Revision 1.6 2004/03/23 15:19:32 mdw
- * Test elliptic curves more thoroughly.
- *
- * Revision 1.5 2004/03/23 12:08:26 mdw
- * Random field-element selection.
- *
- * Revision 1.4 2004/03/21 22:52:06 mdw
- * Merge and close elliptic curve branch.
- *
- * Revision 1.3.4.3 2004/03/21 22:39:46 mdw
- * Elliptic curves on binary fields work.
- *
- * Revision 1.3.4.2 2004/03/20 00:13:31 mdw
- * Projective coordinates for prime curves
- *
- * Revision 1.3.4.1 2003/06/10 13:43:53 mdw
- * Simple (non-projective) curves over prime fields now seem to work.
- *
- * Revision 1.3 2003/05/15 23:25:59 mdw
- * Make elliptic curve stuff build.
- *
- * Revision 1.2 2002/01/13 13:48:44 mdw
- * Further progress.
- *
- * Revision 1.1 2001/04/29 18:12:33 mdw
- * Prototype version.
- *
- */
-
/*----- Header files ------------------------------------------------------*/
#include <mLib/sub.h>
#include "field.h"
-#include "mpmont.h"
#include "mprand.h"
+#include "field-guts.h"
/*----- Main code ---------------------------------------------------------*/
-typedef struct fctx {
- field f;
- mpmont mm;
-} fctx;
-
/* --- Field operations --- */
-static void fdestroy(field *ff)
- { fctx *f = (fctx *)ff; mpmont_destroy(&f->mm); DESTROY(f); }
+static void fdestroy(field *ff) {
+ fctx_prime *f = (fctx_prime *)ff;
+ mpmont_destroy(&f->mm);
+ DESTROY(f);
+}
-static mp *frand(field *ff, mp *d, grand *r)
- { fctx *f = (fctx *)ff; return (mprand_range(d, f->mm.m, r, 0)); }
+static mp *frand(field *ff, mp *d, grand *r) {
+ fctx_prime *f = (fctx_prime *)ff;
+ return (mprand_range(d, f->mm.m, r, 0));
+}
static mp *fin(field *ff, mp *d, mp *x) {
- fctx *f = (fctx *)ff;
+ fctx_prime *f = (fctx_prime *)ff;
mp_div(0, &d, x, f->mm.m);
return (mpmont_mul(&f->mm, d, d, f->mm.r2));
}
-static mp *fout(field *ff, mp *d, mp *x)
- { fctx *f = (fctx *)ff; return (mpmont_reduce(&f->mm, d, x)); }
+static mp *fout(field *ff, mp *d, mp *x) {
+ fctx_prime *f = (fctx_prime *)ff;
+ return (mpmont_reduce(&f->mm, d, x));
+}
-static int fzerop(field *ff, mp *x) { return (!MP_LEN(x)); }
+static int fzerop(field *ff, mp *x) { return (MP_ZEROP(x)); }
-static mp *fneg(field *ff, mp *d, mp *x)
- { fctx *f = (fctx *)ff; return (mp_sub(d, f->mm.m, x)); }
+static mp *fneg(field *ff, mp *d, mp *x) {
+ fctx_prime *f = (fctx_prime *)ff;
+ return (mp_sub(d, f->mm.m, x));
+}
static mp *fadd(field *ff, mp *d, mp *x, mp *y) {
- fctx *f = (fctx *)ff; d = mp_add(d, x, y);
- if (d->f & MP_NEG) d = mp_add(d, d, f->mm.m);
+ fctx_prime *f = (fctx_prime *)ff; d = mp_add(d, x, y);
+ if (MP_NEGP(d)) d = mp_add(d, d, f->mm.m);
else if (MP_CMP(d, >, f->mm.m)) d = mp_sub(d, d, f->mm.m);
return (d);
}
static mp *fsub(field *ff, mp *d, mp *x, mp *y) {
- fctx *f = (fctx *)ff; d = mp_sub(d, x, y);
- if (d->f & MP_NEG) d = mp_add(d, d, f->mm.m);
+ fctx_prime *f = (fctx_prime *)ff; d = mp_sub(d, x, y);
+ if (MP_NEGP(d)) d = mp_add(d, d, f->mm.m);
else if (MP_CMP(d, >, f->mm.m)) d = mp_sub(d, d, f->mm.m);
return (d);
}
-static mp *fmul(field *ff, mp *d, mp *x, mp *y)
- { fctx *f = (fctx *)ff; return (mpmont_mul(&f->mm, d, x, y)); }
+static mp *fmul(field *ff, mp *d, mp *x, mp *y) {
+ fctx_prime *f = (fctx_prime *)ff;
+ return (mpmont_mul(&f->mm, d, x, y));
+}
static mp *fsqr(field *ff, mp *d, mp *x) {
- fctx *f = (fctx *)ff; d = mp_sqr(d, x);
+ fctx_prime *f = (fctx_prime *)ff; d = mp_sqr(d, x);
return (mpmont_reduce(&f->mm, d, d));
}
static mp *finv(field *ff, mp *d, mp *x) {
- fctx *f = (fctx *)ff; d = mpmont_reduce(&f->mm, d, x);
- mp_gcd(0, 0, &d, f->mm.m, d); return (mpmont_mul(&f->mm, d, d, f->mm.r2));
+ fctx_prime *f = (fctx_prime *)ff; d = mpmont_reduce(&f->mm, d, x);
+ d = mp_modinv(d, d, f->mm.m); return (mpmont_mul(&f->mm, d, d, f->mm.r2));
}
-static mp *freduce(field *ff, mp *d, mp *x)
- { fctx *f = (fctx *)ff; mp_div(0, &d, x, f->mm.m); return (d); }
+static mp *freduce(field *ff, mp *d, mp *x) {
+ fctx_prime *f = (fctx_prime *)ff;
+ mp_div(0, &d, x, f->mm.m);
+ return (d);
+}
static mp *fsqrt(field *ff, mp *d, mp *x) {
- fctx *f = (fctx *)ff; d = mpmont_reduce(&f->mm, d, x);
+ fctx_prime *f = (fctx_prime *)ff; d = mpmont_reduce(&f->mm, d, x);
d = mp_modsqrt(d, d, f->mm.m); if (!d) return (d);
return (mpmont_mul(&f->mm, d, d, f->mm.r2));
}
static mp *fdbl(field *ff, mp *d, mp *x) {
- fctx *f = (fctx *)ff; d = mp_lsl(d, x, 1);
- if (MP_CMP(d, >, f->mm.m)) d = mp_sub(d, d, f->mm.m);
+ fctx_prime *f = (fctx_prime *)ff; d = mp_lsl(d, x, 1);
+ if (MP_CMP(d, >=, f->mm.m)) d = mp_sub(d, d, f->mm.m);
return (d);
}
static mp *ftpl(field *ff, mp *d, mp *x) {
- fctx *f = (fctx *)ff; MP_DEST(d, MP_LEN(x) + 1, x->f);
- MPX_UMULN(d->v, d->vl, x->v, x->vl, 3);
- while (MP_CMP(d, >, f->mm.m)) d = mp_sub(d, d, f->mm.m);
+ fctx_prime *f = (fctx_prime *)ff; MP_DEST(d, MP_LEN(x) + 1, x->f);
+ MPX_UMULN(d->v, d->vl, x->v, x->vl, 3); d->f &= ~MP_UNDEF;
+ while (MP_CMP(d, >=, f->mm.m)) d = mp_sub(d, d, f->mm.m);
return (d);
}
static mp *fqdl(field *ff, mp *d, mp *x) {
- fctx *f = (fctx *)ff; d = mp_lsl(d, x, 2);
- while (MP_CMP(d, >, f->mm.m)) d = mp_sub(d, d, f->mm.m);
+ fctx_prime *f = (fctx_prime *)ff; d = mp_lsl(d, x, 2);
+ while (MP_CMP(d, >=, f->mm.m)) d = mp_sub(d, d, f->mm.m);
return (d);
}
static mp *fhlv(field *ff, mp *d, mp *x) {
- fctx *f = (fctx *)ff;
- if (!MP_LEN(x)) { MP_COPY(x); MP_DROP(d); return (x); }
+ fctx_prime *f = (fctx_prime *)ff;
+ if (MP_ZEROP(x)) { MP_COPY(x); MP_DROP(d); return (x); }
if (x->v[0] & 1) { d = mp_add(d, x, f->mm.m); x = d; }
return (mp_lsr(d, x, 1));
}
field *field_prime(mp *p)
{
- fctx *f;
+ fctx_prime *f;
- if (!MP_ISPOS(p) || !MP_ISODD(p))
- return (0);
- f = CREATE(fctx);
+ f = CREATE(fctx_prime);
f->f.ops = &fops;
- mpmont_create(&f->mm, p);
+ if (mpmont_create(&f->mm, p)) {
+ DESTROY(f);
+ return (0);
+ }
f->f.zero = MP_ZERO;
f->f.one = f->mm.r;
f->f.m = f->mm.m;
f->f.nbits = mp_bits(p);
f->f.noctets = (f->f.nbits + 7) >> 3;
+ f->f.q = f->mm.m;
return (&f->f);
}
projects / u / mdw / catacomb / blobdiff