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@@ -0,0 +1,621 @@
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+/*
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+ * This file is part of the UCB release of Plan 9. It is subject to the license
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+ * terms in the LICENSE file found in the top-level directory of this
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+ * distribution and at http://akaros.cs.berkeley.edu/files/Plan9License. No
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+ * part of the UCB release of Plan 9, including this file, may be copied,
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+ * modified, propagated, or distributed except according to the terms contained
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+ * in the LICENSE file.
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+ */
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+
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+#include "os.h"
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+#include <mp.h>
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+#include <libsec.h>
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+#include <ctype.h>
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+
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+extern void jacobian_affine(mpint *p,
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+ mpint *X, mpint *Y, mpint *Z);
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+extern void jacobian_dbl(mpint *p, mpint *a,
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+ mpint *X1, mpint *Y1, mpint *Z1,
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+ mpint *X3, mpint *Y3, mpint *Z3);
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+extern void jacobian_add(mpint *p, mpint *a,
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+ mpint *X1, mpint *Y1, mpint *Z1,
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+ mpint *X2, mpint *Y2, mpint *Z2,
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+ mpint *X3, mpint *Y3, mpint *Z3);
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+
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+void
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+ecassign(ECdomain *dom, ECpoint *a, ECpoint *b)
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+{
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+ if((b->inf = a->inf) != 0)
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+ return;
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+ mpassign(a->x, b->x);
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+ mpassign(a->y, b->y);
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+ if(b->z != nil){
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+ mpassign(a->z != nil ? a->z : mpone, b->z);
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+ return;
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+ }
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+ if(a->z != nil){
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+ b->z = mpcopy(a->z);
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+ jacobian_affine(dom->p, b->x, b->y, b->z);
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+ mpfree(b->z);
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+ b->z = nil;
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+ }
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+}
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+
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+void
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+ecadd(ECdomain *dom, ECpoint *a, ECpoint *b, ECpoint *s)
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+{
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+ if(a->inf && b->inf){
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+ s->inf = 1;
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+ return;
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+ }
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+ if(a->inf){
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+ ecassign(dom, b, s);
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+ return;
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+ }
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+ if(b->inf){
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+ ecassign(dom, a, s);
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+ return;
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+ }
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+
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+ if(s->z == nil){
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+ s->z = mpcopy(mpone);
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+ ecadd(dom, a, b, s);
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+ if(!s->inf)
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+ jacobian_affine(dom->p, s->x, s->y, s->z);
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+ mpfree(s->z);
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+ s->z = nil;
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+ return;
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+ }
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+
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+ if(a == b)
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+ jacobian_dbl(dom->p, dom->a,
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+ a->x, a->y, a->z != nil ? a->z : mpone,
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+ s->x, s->y, s->z);
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+ else
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+ jacobian_add(dom->p, dom->a,
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+ a->x, a->y, a->z != nil ? a->z : mpone,
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+ b->x, b->y, b->z != nil ? b->z : mpone,
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+ s->x, s->y, s->z);
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+ s->inf = mpcmp(s->z, mpzero) == 0;
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+}
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+
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+void
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+ecmul(ECdomain *dom, ECpoint *a, mpint *k, ECpoint *s)
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+{
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+ ECpoint ns, na;
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+ mpint *l;
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+
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+ if(a->inf || mpcmp(k, mpzero) == 0){
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+ s->inf = 1;
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+ return;
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+ }
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+ ns.inf = 1;
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+ ns.x = mpnew(0);
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+ ns.y = mpnew(0);
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+ ns.z = mpnew(0);
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+ na.x = mpnew(0);
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+ na.y = mpnew(0);
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+ na.z = mpnew(0);
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+ ecassign(dom, a, &na);
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+ l = mpcopy(k);
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+ l->sign = 1;
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+ while(mpcmp(l, mpzero) != 0){
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+ if(l->p[0] & 1)
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+ ecadd(dom, &na, &ns, &ns);
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+ ecadd(dom, &na, &na, &na);
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+ mpright(l, 1, l);
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+ }
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+ if(k->sign < 0 && !ns.inf){
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+ ns.y->sign = -1;
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+ mpmod(ns.y, dom->p, ns.y);
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+ }
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+ ecassign(dom, &ns, s);
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+ mpfree(ns.x);
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+ mpfree(ns.y);
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+ mpfree(ns.z);
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+ mpfree(na.x);
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+ mpfree(na.y);
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+ mpfree(na.z);
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+ mpfree(l);
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+}
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+
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+int
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+ecverify(ECdomain *dom, ECpoint *a)
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+{
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+ mpint *p, *q;
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+ int r;
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+
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+ if(a->inf)
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+ return 1;
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+
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+ assert(a->z == nil); /* need affine coordinates */
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+ p = mpnew(0);
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+ q = mpnew(0);
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+ mpmodmul(a->y, a->y, dom->p, p);
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+ mpmodmul(a->x, a->x, dom->p, q);
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+ mpmodadd(q, dom->a, dom->p, q);
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+ mpmodmul(q, a->x, dom->p, q);
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+ mpmodadd(q, dom->b, dom->p, q);
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+ r = mpcmp(p, q);
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+ mpfree(p);
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+ mpfree(q);
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+ return r == 0;
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+}
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+
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+int
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+ecpubverify(ECdomain *dom, ECpub *a)
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+{
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+ ECpoint p;
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+ int r;
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+
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+ if(a->inf)
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+ return 0;
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+ if(!ecverify(dom, a))
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+ return 0;
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+ p.x = mpnew(0);
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+ p.y = mpnew(0);
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+ p.z = mpnew(0);
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+ ecmul(dom, a, dom->n, &p);
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+ r = p.inf;
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+ mpfree(p.x);
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+ mpfree(p.y);
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+ mpfree(p.z);
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+ return r;
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+}
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+
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+static void
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+fixnibble(uint8_t *a)
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+{
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+ if(*a >= 'a')
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+ *a -= 'a'-10;
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+ else if(*a >= 'A')
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+ *a -= 'A'-10;
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+ else
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+ *a -= '0';
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+}
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+
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+static int
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+octet(char **s)
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+{
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+ uint8_t c, d;
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+
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+ c = *(*s)++;
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+ if(!isxdigit(c))
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+ return -1;
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+ d = *(*s)++;
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+ if(!isxdigit(d))
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+ return -1;
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+ fixnibble(&c);
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+ fixnibble(&d);
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+ return (c << 4) | d;
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+}
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+
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+static mpint*
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+halfpt(ECdomain *dom, char *s, char **rptr, mpint *out)
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+{
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+ char *buf, *r;
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+ int n;
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+ mpint *ret;
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+
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+ n = ((mpsignif(dom->p)+7)/8)*2;
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+ if(strlen(s) < n)
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+ return 0;
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+ buf = malloc(n+1);
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+ buf[n] = 0;
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+ memcpy(buf, s, n);
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+ ret = strtomp(buf, &r, 16, out);
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+ *rptr = s + (r - buf);
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+ free(buf);
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+ return ret;
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+}
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+
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+static int
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+mpleg(mpint *a, mpint *b)
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+{
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+ int r, k;
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+ mpint *m, *n, *t;
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+
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+ r = 1;
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+ m = mpcopy(a);
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+ n = mpcopy(b);
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+ for(;;){
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+ if(mpcmp(m, n) > 0)
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+ mpmod(m, n, m);
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+ if(mpcmp(m, mpzero) == 0){
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+ r = 0;
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+ break;
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+ }
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+ if(mpcmp(m, mpone) == 0)
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+ break;
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+ k = mplowbits0(m);
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+ if(k > 0){
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+ if(k & 1)
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+ switch(n->p[0] & 15){
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+ case 3: case 5: case 11: case 13:
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+ r = -r;
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+ }
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+ mpright(m, k, m);
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+ }
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+ if((n->p[0] & 3) == 3 && (m->p[0] & 3) == 3)
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+ r = -r;
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+ t = m;
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+ m = n;
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+ n = t;
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+ }
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+ mpfree(m);
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+ mpfree(n);
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+ return r;
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+}
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+
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+static int
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+mpsqrt(mpint *n, mpint *p, mpint *r)
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+{
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+ mpint *a, *t, *s, *xp, *xq, *yp, *yq, *zp, *zq, *N;
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+
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+ if(mpleg(n, p) == -1)
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+ return 0;
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+ a = mpnew(0);
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+ t = mpnew(0);
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+ s = mpnew(0);
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+ N = mpnew(0);
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+ xp = mpnew(0);
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+ xq = mpnew(0);
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+ yp = mpnew(0);
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+ yq = mpnew(0);
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+ zp = mpnew(0);
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+ zq = mpnew(0);
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+ for(;;){
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+ for(;;){
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+ mpnrand(p, genrandom, a);
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+ if(mpcmp(a, mpzero) > 0)
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+ break;
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+ }
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+ mpmul(a, a, t);
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+ mpsub(t, n, t);
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+ mpmod(t, p, t);
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+ if(mpleg(t, p) == -1)
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+ break;
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+ }
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+ mpadd(p, mpone, N);
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+ mpright(N, 1, N);
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+ mpmul(a, a, t);
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+ mpsub(t, n, t);
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+ mpassign(a, xp);
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+ uitomp(1, xq);
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+ uitomp(1, yp);
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+ uitomp(0, yq);
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+ while(mpcmp(N, mpzero) != 0){
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+ if(N->p[0] & 1){
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+ mpmul(xp, yp, zp);
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+ mpmul(xq, yq, zq);
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+ mpmul(zq, t, zq);
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+ mpadd(zp, zq, zp);
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+ mpmod(zp, p, zp);
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+ mpmul(xp, yq, zq);
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+ mpmul(xq, yp, s);
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+ mpadd(zq, s, zq);
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+ mpmod(zq, p, yq);
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+ mpassign(zp, yp);
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+ }
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+ mpmul(xp, xp, zp);
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+ mpmul(xq, xq, zq);
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+ mpmul(zq, t, zq);
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+ mpadd(zp, zq, zp);
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+ mpmod(zp, p, zp);
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+ mpmul(xp, xq, zq);
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+ mpadd(zq, zq, zq);
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+ mpmod(zq, p, xq);
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+ mpassign(zp, xp);
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+ mpright(N, 1, N);
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+ }
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+ if(mpcmp(yq, mpzero) != 0)
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+ abort();
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+ mpassign(yp, r);
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+ mpfree(a);
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+ mpfree(t);
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+ mpfree(s);
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+ mpfree(N);
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+ mpfree(xp);
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+ mpfree(xq);
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+ mpfree(yp);
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+ mpfree(yq);
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+ mpfree(zp);
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+ mpfree(zq);
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+ return 1;
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+}
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+
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+ECpoint*
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+strtoec(ECdomain *dom, char *s, char **rptr, ECpoint *ret)
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+{
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+ int allocd, o;
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+ mpint *r;
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+
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+ allocd = 0;
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+ if(ret == nil){
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+ allocd = 1;
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+ ret = mallocz(sizeof(*ret), 1);
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+ if(ret == nil)
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+ return nil;
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+ ret->x = mpnew(0);
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+ ret->y = mpnew(0);
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+ }
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+ ret->inf = 0;
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+ o = 0;
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+ switch(octet(&s)){
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+ case 0:
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+ ret->inf = 1;
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+ break;
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+ case 3:
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+ o = 1;
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+ case 2:
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+ if(halfpt(dom, s, &s, ret->x) == nil)
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+ goto err;
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+ r = mpnew(0);
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+ mpmul(ret->x, ret->x, r);
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+ mpadd(r, dom->a, r);
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+ mpmul(r, ret->x, r);
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+ mpadd(r, dom->b, r);
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+ if(!mpsqrt(r, dom->p, r)){
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+ mpfree(r);
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+ goto err;
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+ }
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+ if((r->p[0] & 1) != o)
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+ mpsub(dom->p, r, r);
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+ mpassign(r, ret->y);
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+ mpfree(r);
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+ if(!ecverify(dom, ret))
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+ goto err;
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+ break;
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+ case 4:
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+ if(halfpt(dom, s, &s, ret->x) == nil)
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+ goto err;
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+ if(halfpt(dom, s, &s, ret->y) == nil)
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+ goto err;
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+ if(!ecverify(dom, ret))
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+ goto err;
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+ break;
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+ }
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+ if(ret->z != nil && !ret->inf)
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+ mpassign(mpone, ret->z);
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+ return ret;
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+
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+err:
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+ if(rptr)
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+ *rptr = s;
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+ if(allocd){
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+ mpfree(ret->x);
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+ mpfree(ret->y);
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+ free(ret);
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+ }
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+ return nil;
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+}
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+
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+ECpriv*
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+ecgen(ECdomain *dom, ECpriv *p)
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+{
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+ if(p == nil){
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+ p = mallocz(sizeof(*p), 1);
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+ if(p == nil)
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+ return nil;
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+ p->ecpoint.x = mpnew(0);
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+ p->ecpoint.y = mpnew(0);
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+ p->d = mpnew(0);
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+ }
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+ for(;;){
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+ mpnrand(dom->n, genrandom, p->d);
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+ if(mpcmp(p->d, mpzero) > 0)
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+ break;
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+ }
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+ ecmul(dom, &dom->G, p->d, (struct ECpoint *)p);
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+ return p;
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+}
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+
|
|
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+void
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|
|
+ecdsasign(ECdomain *dom, ECpriv *priv, uint8_t *dig, int len, mpint *r, mpint *s)
|
|
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+{
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|
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+ ECpriv tmp;
|
|
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+ mpint *E, *t;
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|
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+
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+ tmp.ecpoint.x = mpnew(0);
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+ tmp.ecpoint.y = mpnew(0);
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+ tmp.ecpoint.z = nil;
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+ tmp.d = mpnew(0);
|
|
|
+ E = betomp(dig, len, nil);
|
|
|
+ t = mpnew(0);
|
|
|
+ if(mpsignif(dom->n) < 8*len)
|
|
|
+ mpright(E, 8*len - mpsignif(dom->n), E);
|
|
|
+ for(;;){
|
|
|
+ ecgen(dom, &tmp);
|
|
|
+ mpmod(tmp.ecpoint.x, dom->n, r);
|
|
|
+ if(mpcmp(r, mpzero) == 0)
|
|
|
+ continue;
|
|
|
+ mpmul(r, priv->d, s);
|
|
|
+ mpadd(E, s, s);
|
|
|
+ mpinvert(tmp.d, dom->n, t);
|
|
|
+ mpmodmul(s, t, dom->n, s);
|
|
|
+ if(mpcmp(s, mpzero) != 0)
|
|
|
+ break;
|
|
|
+ }
|
|
|
+ mpfree(t);
|
|
|
+ mpfree(E);
|
|
|
+ mpfree(tmp.ecpoint.x);
|
|
|
+ mpfree(tmp.ecpoint.y);
|
|
|
+ mpfree(tmp.d);
|
|
|
+}
|
|
|
+
|
|
|
+int
|
|
|
+ecdsaverify(ECdomain *dom, ECpub *pub, uint8_t *dig, int len, mpint *r, mpint *s)
|
|
|
+{
|
|
|
+ mpint *E, *t, *u1, *u2;
|
|
|
+ ECpoint R, S;
|
|
|
+ int ret;
|
|
|
+
|
|
|
+ if(mpcmp(r, mpone) < 0 || mpcmp(s, mpone) < 0 || mpcmp(r, dom->n) >= 0 || mpcmp(r, dom->n) >= 0)
|
|
|
+ return 0;
|
|
|
+ E = betomp(dig, len, nil);
|
|
|
+ if(mpsignif(dom->n) < 8*len)
|
|
|
+ mpright(E, 8*len - mpsignif(dom->n), E);
|
|
|
+ t = mpnew(0);
|
|
|
+ u1 = mpnew(0);
|
|
|
+ u2 = mpnew(0);
|
|
|
+ R.x = mpnew(0);
|
|
|
+ R.y = mpnew(0);
|
|
|
+ R.z = mpnew(0);
|
|
|
+ S.x = mpnew(0);
|
|
|
+ S.y = mpnew(0);
|
|
|
+ S.z = mpnew(0);
|
|
|
+ mpinvert(s, dom->n, t);
|
|
|
+ mpmodmul(E, t, dom->n, u1);
|
|
|
+ mpmodmul(r, t, dom->n, u2);
|
|
|
+ ecmul(dom, &dom->G, u1, &R);
|
|
|
+ ecmul(dom, pub, u2, &S);
|
|
|
+ ecadd(dom, &R, &S, &R);
|
|
|
+ ret = 0;
|
|
|
+ if(!R.inf){
|
|
|
+ jacobian_affine(dom->p, R.x, R.y, R.z);
|
|
|
+ mpmod(R.x, dom->n, t);
|
|
|
+ ret = mpcmp(r, t) == 0;
|
|
|
+ }
|
|
|
+ mpfree(E);
|
|
|
+ mpfree(t);
|
|
|
+ mpfree(u1);
|
|
|
+ mpfree(u2);
|
|
|
+ mpfree(R.x);
|
|
|
+ mpfree(R.y);
|
|
|
+ mpfree(R.z);
|
|
|
+ mpfree(S.x);
|
|
|
+ mpfree(S.y);
|
|
|
+ mpfree(S.z);
|
|
|
+ return ret;
|
|
|
+}
|
|
|
+
|
|
|
+static char *code = "123456789ABCDEFGHJKLMNPQRSTUVWXYZabcdefghijkmnopqrstuvwxyz";
|
|
|
+
|
|
|
+void
|
|
|
+base58enc(uint8_t *src, char *dst, int len)
|
|
|
+{
|
|
|
+ mpint *n, *r, *b;
|
|
|
+ char *sdst, t;
|
|
|
+
|
|
|
+ sdst = dst;
|
|
|
+ n = betomp(src, len, nil);
|
|
|
+ b = uitomp(58, nil);
|
|
|
+ r = mpnew(0);
|
|
|
+ while(mpcmp(n, mpzero) != 0){
|
|
|
+ mpdiv(n, b, n, r);
|
|
|
+ *dst++ = code[mptoui(r)];
|
|
|
+ }
|
|
|
+ for(; *src == 0; src++)
|
|
|
+ *dst++ = code[0];
|
|
|
+ dst--;
|
|
|
+ while(dst > sdst){
|
|
|
+ t = *sdst;
|
|
|
+ *sdst++ = *dst;
|
|
|
+ *dst-- = t;
|
|
|
+ }
|
|
|
+}
|
|
|
+
|
|
|
+int
|
|
|
+base58dec(char *src, uint8_t *dst, int len)
|
|
|
+{
|
|
|
+ mpint *n, *b, *r;
|
|
|
+ char *t;
|
|
|
+
|
|
|
+ n = mpnew(0);
|
|
|
+ r = mpnew(0);
|
|
|
+ b = uitomp(58, nil);
|
|
|
+ for(; *src; src++){
|
|
|
+ t = strchr(code, *src);
|
|
|
+ if(t == nil){
|
|
|
+ mpfree(n);
|
|
|
+ mpfree(r);
|
|
|
+ mpfree(b);
|
|
|
+ werrstr("invalid base58 char");
|
|
|
+ return -1;
|
|
|
+ }
|
|
|
+ uitomp(t - code, r);
|
|
|
+ mpmul(n, b, n);
|
|
|
+ mpadd(n, r, n);
|
|
|
+ }
|
|
|
+ mptober(n, dst, len);
|
|
|
+ mpfree(n);
|
|
|
+ mpfree(r);
|
|
|
+ mpfree(b);
|
|
|
+ return 0;
|
|
|
+}
|
|
|
+
|
|
|
+void
|
|
|
+ecdominit(ECdomain *dom, void (*init)(mpint *p, mpint *a, mpint *b, mpint *x, mpint *y, mpint *n, mpint *h))
|
|
|
+{
|
|
|
+ memset(dom, 0, sizeof(*dom));
|
|
|
+ dom->p = mpnew(0);
|
|
|
+ dom->a = mpnew(0);
|
|
|
+ dom->b = mpnew(0);
|
|
|
+ dom->G.x = mpnew(0);
|
|
|
+ dom->G.y = mpnew(0);
|
|
|
+ dom->n = mpnew(0);
|
|
|
+ dom->h = mpnew(0);
|
|
|
+ if(init){
|
|
|
+ (*init)(dom->p, dom->a, dom->b, dom->G.x, dom->G.y, dom->n, dom->h);
|
|
|
+ dom->p = mpfield(dom->p);
|
|
|
+ }
|
|
|
+}
|
|
|
+
|
|
|
+void
|
|
|
+ecdomfree(ECdomain *dom)
|
|
|
+{
|
|
|
+ mpfree(dom->p);
|
|
|
+ mpfree(dom->a);
|
|
|
+ mpfree(dom->b);
|
|
|
+ mpfree(dom->G.x);
|
|
|
+ mpfree(dom->G.y);
|
|
|
+ mpfree(dom->n);
|
|
|
+ mpfree(dom->h);
|
|
|
+ memset(dom, 0, sizeof(*dom));
|
|
|
+}
|
|
|
+
|
|
|
+int
|
|
|
+ecencodepub(ECdomain *dom, ECpub *pub, uint8_t *data, int len)
|
|
|
+{
|
|
|
+ int n;
|
|
|
+
|
|
|
+ n = (mpsignif(dom->p)+7)/8;
|
|
|
+ if(len < 1 + 2*n)
|
|
|
+ return 0;
|
|
|
+ len = 1 + 2*n;
|
|
|
+ data[0] = 0x04;
|
|
|
+ mptober(pub->x, data+1, n);
|
|
|
+ mptober(pub->y, data+1+n, n);
|
|
|
+ return len;
|
|
|
+}
|
|
|
+
|
|
|
+ECpub*
|
|
|
+ecdecodepub(ECdomain *dom, uint8_t *data, int len)
|
|
|
+{
|
|
|
+ ECpub *pub;
|
|
|
+ int n;
|
|
|
+
|
|
|
+ n = (mpsignif(dom->p)+7)/8;
|
|
|
+ if(len != 1 + 2*n || data[0] != 0x04)
|
|
|
+ return nil;
|
|
|
+ pub = mallocz(sizeof(*pub), 1);
|
|
|
+ if(pub == nil)
|
|
|
+ return nil;
|
|
|
+ pub->x = betomp(data+1, n, nil);
|
|
|
+ pub->y = betomp(data+1+n, n, nil);
|
|
|
+ if(!ecpubverify(dom, pub)){
|
|
|
+ ecpubfree(pub);
|
|
|
+ pub = nil;
|
|
|
+ }
|
|
|
+ return pub;
|
|
|
+}
|
|
|
+
|
|
|
+void
|
|
|
+ecpubfree(ECpub *p)
|
|
|
+{
|
|
|
+ if(p == nil)
|
|
|
+ return;
|
|
|
+ mpfree(p->x);
|
|
|
+ mpfree(p->y);
|
|
|
+ free(p);
|
|
|
+}
|