X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/c3caa2face1cda7002eb58245ad75865bf437455..025c5f4aa5ffbf8948482a4233318db81c2df5d2:/calc/ecp.cal diff --git a/calc/ecp.cal b/calc/ecp.cal index 7c560c5..0163d5e 100644 --- a/calc/ecp.cal +++ b/calc/ecp.cal @@ -1,6 +1,6 @@ /* -*-apcalc-*- * - * $Id: ecp.cal,v 1.2 2004/03/21 22:52:06 mdw Exp $ + * $Id: ecp.cal,v 1.5 2004/04/08 01:36:15 mdw Exp $ * * Testbed for elliptic curve arithmetic over prime fields * @@ -27,28 +27,10 @@ * MA 02111-1307, USA. */ -/*----- Revision history --------------------------------------------------* - * - * $Log: ecp.cal,v $ - * Revision 1.2 2004/03/21 22:52:06 mdw - * Merge and close elliptic curve branch. - * - * Revision 1.1.4.2 2004/03/20 00:13:31 mdw - * Projective coordinates for prime curves - * - * Revision 1.1.4.1 2003/06/10 13:43:53 mdw - * Simple (non-projective) curves over prime fields now seem to work. - * - * Revision 1.1 2000/10/08 16:01:37 mdw - * Prototypes of various bits of code. - * - */ - /*----- Object types ------------------------------------------------------*/ obj ecp_curve { a, b, p }; obj ecp_pt { x, y, e }; -obj ecpp_pt { x, y, z, e }; /*----- Main code ---------------------------------------------------------*/ @@ -70,72 +52,6 @@ define ecp_pt(x, y, e) return (p); } -define ecpp_pt(p) -{ - local obj ecpp_pt pp; - if (istype(p, 1)) - return (0); - pp.x = p.x; - pp.y = p.y; - pp.z = 1; - pp.e = p.e; - return (pp); -} - -define ecpp_fix(pp) -{ - local obj ecp_pt p; - local e, zi, z2, z3; - if (istype(pp, 1) || pp.z == 0) - return (0); - e = pp.e; - zi = minv(pp.z, e.p); - z2 = zi * zi; - z3 = zi * z2; - p.x = pp.x * z2 % e.p; - p.y = pp.y * z3 % e.p; - p.e = e; - return (p); -} - -define ecpp_dbl(a) -{ - local m, s, t, y2; - local e; - local obj ecpp_pt d; - if (istype(a, 1) || a.y == 0) - return (0); - e = a.e; - if (e.a % e.p == e.p - 3) { - m = a.z^3 % e.p; - m = 3 * (a.x + t4) * (a.x - t4) % e.p; - } else { - m = (3 * a.x^2 - e.a * a.z^4) % e.p; - } - d.z = 2 * a.y * a.z % e.p; - y2 = a.y^2 % e.p; - s = 4 * a.x * a.y % e.p; - d.x = (m^2 - 2 * s) % e.p; - d.y = (m * (s - d.x) - y * y2^2) % e.p; - d.e = e; - return (d); -} - -define ecpp_add(a, b) -{ - if (a == 0) - d = b; - else if (b == 0) - d = a; - else if (!istype(a, b)) - quit "bad type arguments to ecp_pt_add"; - else if (a.e != b.e) - quit "points from different curves in ecp_pt_add"; - else { - e = a.e; - -} - define ecp_pt_print(a) { print "(" : a.x : ", " : a.y : ")" :; @@ -190,7 +106,7 @@ 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); }