summaryrefslogtreecommitdiff
path: root/usr/src/lib/libmp/common/gcd.c
diff options
context:
space:
mode:
authorstevel@tonic-gate <none@none>2005-06-14 00:00:00 -0700
committerstevel@tonic-gate <none@none>2005-06-14 00:00:00 -0700
commit7c478bd95313f5f23a4c958a745db2134aa03244 (patch)
treec871e58545497667cbb4b0a4f2daf204743e1fe7 /usr/src/lib/libmp/common/gcd.c
downloadillumos-joyent-7c478bd95313f5f23a4c958a745db2134aa03244.tar.gz
OpenSolaris Launch
Diffstat (limited to 'usr/src/lib/libmp/common/gcd.c')
-rw-r--r--usr/src/lib/libmp/common/gcd.c101
1 files changed, 101 insertions, 0 deletions
diff --git a/usr/src/lib/libmp/common/gcd.c b/usr/src/lib/libmp/common/gcd.c
new file mode 100644
index 0000000000..18b6b58bea
--- /dev/null
+++ b/usr/src/lib/libmp/common/gcd.c
@@ -0,0 +1,101 @@
+/* Copyright (c) 1984, 1986, 1987, 1988, 1989 AT&T */
+/* All Rights Reserved */
+
+
+/*
+ * Copyright (c) 1980 Regents of the University of California.
+ * All rights reserved. The Berkeley software License Agreement
+ * specifies the terms and conditions for redistribution.
+ */
+/* Portions Copyright(c) 1988, Sun Microsystems Inc. */
+/* All Rights Reserved */
+
+/*
+ * Copyright (c) 1997, by Sun Microsystems, Inc.
+ * All rights reserved.
+ */
+
+#ident "%Z%%M% %I% %E% SMI" /* SVr4.0 1.1 */
+
+/* LINTLIBRARY */
+
+#include <mp.h>
+#include "libmp.h"
+#include <sys/types.h>
+
+void
+mp_gcd(MINT *a, MINT *b, MINT *c)
+{
+ MINT x, y, z, w;
+
+ x.len = y.len = z.len = w.len = 0;
+ _mp_move(a, &x);
+ _mp_move(b, &y);
+ while (y.len != 0) {
+ mp_mdiv(&x, &y, &w, &z);
+ _mp_move(&y, &x);
+ _mp_move(&z, &y);
+ }
+ _mp_move(&x, c);
+ _mp_xfree(&x);
+ _mp_xfree(&y);
+ _mp_xfree(&z);
+ _mp_xfree(&w);
+}
+
+void
+mp_invert(MINT *x1, MINT *x0, MINT *c)
+{
+ MINT u2, u3;
+ MINT v2, v3;
+ MINT zero;
+ MINT q, r;
+ MINT t;
+ MINT x0_prime;
+ static MINT *one = NULL;
+
+ /*
+ * Minimize calls to allocators. Don't use pointers for local
+ * variables, for the one "initialized" multiple precision
+ * variable, do it just once.
+ */
+ if (one == NULL)
+ one = mp_itom(1);
+
+ zero.len = q.len = r.len = t.len = 0;
+
+ x0_prime.len = u2.len = u3.len = 0;
+ _mp_move(x0, &u3);
+ _mp_move(x0, &x0_prime);
+
+ v2.len = v3.len = 0;
+ _mp_move(one, &v2);
+ _mp_move(x1, &v3);
+
+ while (mp_mcmp(&v3, &zero) != 0) {
+ /* invariant: x0*u1 + x1*u2 = u3 */
+ /* invariant: x0*v1 + x2*v2 = v3 */
+ /* invariant: x(n+1) = x(n-1) % x(n) */
+ mp_mdiv(&u3, &v3, &q, &r);
+ _mp_move(&v3, &u3);
+ _mp_move(&r, &v3);
+
+ mp_mult(&q, &v2, &t);
+ mp_msub(&u2, &t, &t);
+ _mp_move(&v2, &u2);
+ _mp_move(&t, &v2);
+ }
+ /* now x0*u1 + x1*u2 == 1, therefore, (u2*x1) % x0 == 1 */
+ _mp_move(&u2, c);
+ if (mp_mcmp(c, &zero) < 0) {
+ mp_madd(&x0_prime, c, c);
+ }
+ _mp_xfree(&zero);
+ _mp_xfree(&v2);
+ _mp_xfree(&v3);
+ _mp_xfree(&u2);
+ _mp_xfree(&u3);
+ _mp_xfree(&q);
+ _mp_xfree(&r);
+ _mp_xfree(&t);
+}