/* -*-apcalc-*-
*
- * $Id: ecp.cal,v 1.1 2000/10/08 16:01:37 mdw Exp $
+ * $Id: ecp.cal,v 1.5 2004/04/08 01:36:15 mdw Exp $
*
* Testbed for elliptic curve arithmetic over prime fields
*
* (c) 2000 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: ecp.cal,v $
- * Revision 1.1 2000/10/08 16:01:37 mdw
- * Prototypes of various bits of code.
- *
- */
-
/*----- Object types ------------------------------------------------------*/
obj ecp_curve { a, b, p };
e = a.e;
if (a.x == b.x) {
if (a.y != b.y) {
- return (0);
+ return (0);
}
alpha = (3 * a.x^2 + e.a) * minv(2 * a.y, e.p) % e.p;
} else
return (d);
}
+define ecp_pt_dbl(a)
+{
+ local e, alpha;
+ local obj ecp_pt d;
+ if (istype(a, 1))
+ return (0);
+ e = a.e;
+ alpha = (3 * a.x^2 + e.a) * minv(2 * a.y, e.p) % e.p;
+ d.x = (alpha^2 - 2 * a.x) % e.p;
+ d.y = (-a.y + alpha * (a.x - d.x)) % e.p;
+ d.e = e;
+ return (d);
+}
+
define ecp_pt_neg(a)
{
local obj ecp_pt d;
d.x = a.x;
- d.y = -a.y;
+ d.y = a.e.p - a.y;
d.e = a.e;
return (d);
}
+define ecp_pt_check(a)
+{
+ local e;
+
+ e = a.e;
+ if (a.y^2 % e.p != (a.x^3 + e.a * a.x + e.b) % e.p)
+ quit "bad curve point";
+}
+
define ecp_pt_mul(a, b)
{
local p, n;
if (n & 1)
d += p;
n >>= 1;
- p += p;
+ p = ecp_pt_dbl(p);
}
return (d);
}
+/*----- FIPS186-2 standard curves -----------------------------------------*/
+
+p192 = ecp_curve(-3, 0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1,
+ 6277101735386680763835789423207666416083908700390324961279);
+p192_r = 6277101735386680763835789423176059013767194773182842284081;
+p192_g = ecp_pt(0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012,
+ 0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811, p192);
+
/*----- That's all, folks -------------------------------------------------*/