--- /dev/null
+/* -*-apcalc-*-
+ *
+ * $Id: ecp.cal,v 1.1 2000/10/08 16:01:37 mdw Exp $
+ *
+ * Testbed for elliptic curve arithmetic over prime fields
+ *
+ * (c) 2000 Straylight/Edgeware
+ */
+
+/*----- Licensing notice --------------------------------------------------*
+ *
+ * This file is part of Catacomb.
+ *
+ * Catacomb is free software; you can redistribute it and/or modify
+ * 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 };
+obj ecp_pt { x, y, e };
+
+/*----- Main code ---------------------------------------------------------*/
+
+define ecp_curve(a, b, p)
+{
+ local obj ecp_curve e;
+ e.a = a;
+ e.b = b;
+ e.p = p;
+ return (e);
+}
+
+define ecp_pt(x, y, e)
+{
+ local obj ecp_pt p;
+ p.x = x % e.p;
+ p.y = y % e.p;
+ p.e = e;
+ return (p);
+}
+
+define ecp_pt_print(a)
+{
+ print "(" : a.x : ", " : a.y : ")" :;
+}
+
+define ecp_pt_add(a, b)
+{
+ local e, alpha;
+ local obj ecp_pt d;
+
+ 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;
+ if (a.x == b.x) {
+ if (a.y != b.y) {
+ return (0);
+ }
+ alpha = (3 * a.x^2 + e.a) * minv(2 * a.y, e.p) % e.p;
+ } else
+ alpha = (b.y - a.y) * minv(b.x - a.x, e.p) % e.p;
+
+ d.x = (alpha^2 - a.x - b.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.e = a.e;
+ return (d);
+}
+
+define ecp_pt_mul(a, b)
+{
+ local p, n;
+ local d;
+
+ if (istype(a, 1)) {
+ n = a;
+ p = b;
+ } else if (istype(b, 1)) {
+ n = b;
+ p = a;
+ } else
+ return (newerror("bad arguments to ecp_pt_mul"));
+
+ d = 0;
+ while (n) {
+ if (n & 1)
+ d += p;
+ n >>= 1;
+ p += p;
+ }
+ return (d);
+}
+
+/*----- That's all, folks -------------------------------------------------*/
+
--- /dev/null
+/* -*-apcalc-*-
+ *
+ * $Id: gfx-test.cal,v 1.1 2000/10/08 16:01:37 mdw Exp $
+ *
+ * Generate test cases for %$\gf{2}[x]$% arithmetic
+ *
+ * (c) 2000 Straylight/Edgeware
+ */
+
+/*----- Licensing notice --------------------------------------------------*
+ *
+ * This file is part of Catacomb.
+ *
+ * Catacomb is free software; you can redistribute it and/or modify
+ * 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: gfx-test.cal,v $
+ * Revision 1.1 2000/10/08 16:01:37 mdw
+ * Prototypes of various bits of code.
+ *
+ */
+
+/*----- External units ----------------------------------------------------*/
+
+read gfx;
+
+/*----- Global variables --------------------------------------------------*/
+
+global op = "+", n = 40, bits = 128;
+
+/*----- Main code ---------------------------------------------------------*/
+
+dummy = config("lib_debug", -1);
+
+define gfx_test() {
+ local i, j, x;
+ local a, b, l;
+
+ for (i = 0; i < n; i++) {
+
+ /* --- Select the inputs and produce the outputs --- */
+
+ switch (op) {
+ case '+':
+ case '-':
+ a = gf(random(1 << bits));
+ b = gf(random(1 << bits));
+ l = list(a, b, a + b);
+ break;
+ case '*':
+ a = gf(random(1 << bits));
+ b = gf(random(1 << bits));
+ l = list(a, b, a * b);
+ break;
+ case '2':
+ a = gf(random(1 << bits));
+ l = list(a, a * a);
+ break;
+ case '/':
+ a = gf(random(1 << (bits + random(bits))));
+ b = gf(random(1 << bits));
+ l = list(a, b, a / b, a % b);
+ break;
+ default:
+ exit "unknown operator";
+ break;
+ }
+
+ /* --- Output the test vector --- *
+ *
+ * Be careful to ensure that it has an even number of hex digits in each
+ * number.
+ */
+
+ for (j = 0; j < size(l); j++) {
+ x = strprintf("%x", l[[j]].x);
+ if (strlen(x) > 1)
+ x = substr(x, 3, strlen(x) - 2);
+ if (strlen(x) % 2)
+ x = strcat("0", x);
+ x = strcat(" ", x);
+ if (j)
+ x = strcat(" ", x);
+ if (j == size(l) - 1)
+ x = strcat(x, ";");
+ printf("%s\n", x);
+ }
+ }
+}
+
+/*----- That's all, folks -------------------------------------------------*/
--- /dev/null
+/* -*-apcalc-*-
+ *
+ * $Id: gfx.cal,v 1.1 2000/10/08 16:01:37 mdw Exp $
+ *
+ * Testbed for %$\gf{2}$% poltnomial arithmetic
+ *
+ * (c) 2000 Straylight/Edgeware
+ */
+
+/*----- Licensing notice --------------------------------------------------*
+ *
+ * This file is part of Catacomb.
+ *
+ * Catacomb is free software; you can redistribute it and/or modify
+ * 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: gfx.cal,v $
+ * Revision 1.1 2000/10/08 16:01:37 mdw
+ * Prototypes of various bits of code.
+ *
+ */
+
+/*----- Object types ------------------------------------------------------*/
+
+obj gf { x };
+
+/*----- Static variables --------------------------------------------------*/
+
+static obj gf example_gf_object;
+
+/*----- Main code ---------------------------------------------------------*/
+
+dummy = config("lib_debug", -1);
+
+define gf(x)
+{
+ local obj gf g;
+ g.x = x;
+ return (g);
+}
+
+define gfint(x)
+{
+ if (istype(x, example_gf_object))
+ return (x.x);
+ else
+ return (x);
+}
+
+define gf_add(x, y) = gf(xor(gfint(x), gfint(y)));
+define gf_sub(x, y) = gf(xor(gfint(x), gfint(y)));
+define gf_neg(x) = x;
+
+define gf_mul(x, y)
+{
+ local a = gfint(x), b = gfint(y), z = 0, i, bits = highbit(a);
+ for (i = 0; i <= bits; i++) {
+ if (bit(a, i))
+ z = xor(z, b << i);
+ }
+ return gf(z);
+}
+
+define gfx_div(rx, dx)
+{
+ local r = gfint(rx), d = gfint(dx), i;
+ local q = 0, dbits = highbit(d), rbits = highbit(r);
+ for (i = rbits - dbits; i >= 0; i--) {
+ if (bit(r, i + dbits)) {
+ r = xor(r, d << i);
+ q |= (1 << i);
+ }
+ }
+ return list(q, r);
+}
+
+define gf_div(x, y)
+{
+ local l = gfx_div(x, y);
+ return gf(l[[0]]);
+}
+
+define gf_mod(x, y)
+{
+ local l = gfx_div(x, y);
+ return gf(l[[1]]);
+}
+
+/*----- That's all, folks -------------------------------------------------*/
projects / u / mdw / catacomb / commitdiff