--- /dev/null
+/* -*-c-*-
+ *
+ * The Ed448 signature scheme
+ *
+ * (c) 2017 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.
+ */
+
+/*----- Header files ------------------------------------------------------*/
+
+#include <string.h>
+
+#include "fgoldi.h"
+#include "ed448.h"
+#include "scaf.h"
+#include "scmul.h"
+#include "sha3.h"
+
+/*----- Key fetching ------------------------------------------------------*/
+
+const key_fetchdef ed448_pubfetch[] = {
+ { "pub", offsetof(ed448_pub, pub), KENC_BINARY, 0 },
+ { 0, 0, 0, 0 }
+};
+
+static const key_fetchdef priv[] = {
+ { "priv", offsetof(ed448_priv, priv), KENC_BINARY, 0 },
+ { 0, 0, 0, 0 }
+};
+
+const key_fetchdef ed448_privfetch[] = {
+ { "pub", offsetof(ed448_priv, pub), KENC_BINARY, 0 },
+ { "private", 0, KENC_STRUCT, priv },
+ { 0, 0, 0, 0 }
+};
+
+/*----- A number of magic numbers -----------------------------------------*/
+
+#if SCAF_IMPL == 32
+# define PIECEWD 24
+ static const scaf_piece l[] = {
+ 0x5844f3, 0xc292ab, 0x552378, 0x8dc58f, 0x6cc272,
+ 0x369021, 0x49aed6, 0xc44edb, 0xca23e9, 0xffff7c,
+ 0xffffff, 0xffffff, 0xffffff, 0xffffff, 0xffffff,
+ 0xffffff, 0xffffff, 0xffffff, 0x003fff
+ };
+ static const scaf_piece mu[] = {
+ 0xe0d00a, 0x4a7bb0, 0x73d6d5, 0x0aadc8, 0xd723a7,
+ 0xe933d8, 0x9c96fd, 0x4b6512, 0x63bb12, 0x335dc1,
+ 0x000008, 0x000000, 0x000000, 0x000000, 0x000000,
+ 0x000000, 0x000000, 0x000000, 0x000000, 0x000400
+ };
+#endif
+
+#if SCAF_IMPL == 16
+# define PIECEWD 12
+ static const scaf_piece l[] = {
+ 0x4f3, 0x584, 0x2ab, 0xc29, 0x378, 0x552, 0x58f, 0x8dc,
+ 0x272, 0x6cc, 0x021, 0x369, 0xed6, 0x49a, 0xedb, 0xc44,
+ 0x3e9, 0xca2, 0xf7c, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
+ 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
+ 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x003
+ };
+ static const scaf_piece mu[] = {
+ 0x00a, 0xe0d, 0xbb0, 0x4a7, 0x6d5, 0x73d, 0xdc8, 0x0aa,
+ 0x3a7, 0xd72, 0x3d8, 0xe93, 0x6fd, 0x9c9, 0x512, 0x4b6,
+ 0xb12, 0x63b, 0xdc1, 0x335, 0x008, 0x000, 0x000, 0x000,
+ 0x000, 0x000, 0x000, 0x000, 0x000, 0x000, 0x000, 0x000,
+ 0x000, 0x000, 0x000, 0x000, 0x000, 0x000, 0x400
+ };
+#endif
+
+#define NPIECE SCAF_NPIECE(448, PIECEWD)
+
+#if FGOLDI_IMPL == 28
+# define P p28
+ static const fgoldi_piece bx_pieces[] = {
+ 118276190, 40534716, 9670182, -133293904,
+ 85017404, -9262234, 68333083, -96650682,
+ -93461723, 15824511, 73756743, 57518561,
+ 94773951, -19783215, 107736334, 82941708
+ }, by_pieces[] = {
+ 36764180, 8885695, 130592152, 20104429,
+ -104530499, 30304196, 121295871, 5901357,
+ 125344798, -96893944, -93097107, -59366209,
+ 3626698, 38307682, 24032956, 110359655
+ };
+#endif
+#if FGOLDI_IMPL == 12
+# define P p12
+ static const fgoldi_piece bx_pieces[] = {
+ 94, 204, -114, 523, 309, -474, 313, -511, 99, -1017,
+ 828, 276, -822, 686, -71, -485, 299, 200, -791, -737,
+ 805, -290, -43, -550, 121, 71, -425, -983, -344, 439,
+ 703, 610, 555, 135, -151, -754, -321, 397, -420, 633
+ }, by_pieces[] = {
+ -1516, 784, -28, -425, 68, -616, -885, -592, 788, 153,
+ -579, -944, 116, 415, 231, 1023, 941, -594, 49, 45,
+ -994, -118, 271, -496, -739, 877, -201, -43, 147, -453,
+ 1738, 885, -960, 542, 292, 1724, -277, -797, -46, 842
+ };
+#endif
+
+static const fgoldi_piece bz_pieces[NPIECE] = { 1, 0, /* ... */ };
+#define BX ((const fgoldi *)bx_pieces)
+#define BY ((const fgoldi *)by_pieces)
+#define BZ ((const fgoldi *)bz_pieces)
+#define D (-39081)
+
+/*----- Point encoding and decoding ---------------------------------------*/
+
+static void ptencode(octet q[57],
+ const fgoldi *X, const fgoldi *Y, const fgoldi *Z)
+{
+ fgoldi x, y, t;
+ octet b[56];
+
+ fgoldi_inv(&t, Z); fgoldi_mul(&x, X, &t); fgoldi_mul(&y, Y, &t);
+ fgoldi_store(q, &y); fgoldi_store(b, &x); q[56] = (b[0]&1u) << 7;
+}
+
+static int ptdecode(fgoldi *X, fgoldi *Y, fgoldi *Z, const octet q[57])
+{
+ octet b[56];
+ unsigned i, a;
+ fgoldi t, u;
+ uint32 m;
+ int rc = 0;
+
+ /* Load the y-coordinate. */
+ fgoldi_load(Y, q);
+
+ /* Check that the coordinate was in range. If we store it, we'll get a
+ * canonical version which we can compare against Q. Also, check that the
+ * extra bits in the top byte are zero.
+ */
+ fgoldi_store(b, Y);
+ for (i = a = 0; i < 56; i++) a |= b[i] ^ q[i];
+ a |= q[56]&0x7fu;
+ a = ((a - 1) >> 8)&0x01u; /* 0 |-> 1, non-0 |-> 0 */
+ rc |= (int)a - 1;
+
+ /* Decompress the x-coordinate. */
+ fgoldi_sqr(&t, Y); fgoldi_mulconst(&u, &t, D); t.P[0] -= 1; u.P[0] -= 1;
+ rc |= fgoldi_quosqrt(X, &t, &u);
+ fgoldi_store(b, X); m = -(uint32)(((q[56] >> 7) ^ b[0])&0x1u);
+ fgoldi_condneg(X, X, m);
+
+ /* Set Z. */
+ fgoldi_set(Z, 1);
+
+ /* And we're done. */
+ return (rc);
+}
+
+/*----- Edwards curve arithmetic ------------------------------------------*/
+
+static void ptadd(fgoldi *X, fgoldi *Y, fgoldi *Z,
+ const fgoldi *X0, const fgoldi *Y0, const fgoldi *Z0,
+ const fgoldi *X1, const fgoldi *Y1, const fgoldi *Z1)
+{
+ fgoldi t0, t1, t2, t3;
+
+ /* Bernstein and Lange, `Faster addition and doubling on elliptic curves',
+ * 2007-09-06, https://cr.yp.to/newelliptic/newelliptic-20070906.pdf shows
+ * the formulae as:
+ *
+ * A = Z1 Z2; B = A^2; C = X1 X2; D = Y1 Y2;
+ * E = d C D; F = B - E; G = B + E;
+ * X3 = A F ((X1 + Y1) (X2 + Y2) - C - D);
+ * Y3 = A G (D - C); Z3 = c F G.
+ *
+ * But c = 1 here.
+ */
+
+ fgoldi_mul(&t0, Z0, Z1); /* t0 = A = Z0 Z1 */
+ fgoldi_add(&t1, X0, Y0); /* t1 = X0 + Y0 */
+ fgoldi_add(&t2, X1, Y1); /* t2 = X1 + Y1 */
+ fgoldi_mul(&t1, &t1, &t2); /* t1 = (X0 + Y0) (X1 + Y1) */
+ fgoldi_mul(&t2, X0, X1); /* t2 = C = X0 X1 */
+ fgoldi_mul(&t3, Y0, Y1); /* t3 = D = Y0 Y1 */
+ fgoldi_sub(X, &t1, &t2); /* X = (X0 + Y0) (X1 + Y1) - C */
+ fgoldi_sub(X, X, &t3); /* X = (X0 + Y0) (X1 + Y1) - C - D */
+ fgoldi_sub(Y, &t3, &t2); /* Y = D - C */
+ fgoldi_mul(X, X, &t0); /* X = A ((X0 + Y0) (X1 + Y1) - C - D) */
+ fgoldi_mul(Y, Y, &t0); /* Y = A (D - C) */
+ fgoldi_sqr(&t0, &t0); /* t0 = B = A^2 */
+ fgoldi_mul(&t1, &t2, &t3); /* t1 = C D */
+ fgoldi_mulconst(&t1, &t1, D); /* t1 = E = d C D */
+ fgoldi_sub(&t2, &t0, &t1); /* t2 = F = B - E */
+ fgoldi_add(&t1, &t0, &t1); /* t1 = G = B + E */
+ fgoldi_mul(X, X, &t2); /* X = A F ((X0 + Y0) (X1 + Y1) - C - D) */
+ fgoldi_mul(Y, Y, &t1); /* Y = A G (D - C) */
+ fgoldi_mul(Z, &t1, &t2); /* Z = c F G */
+}
+
+static void ptdbl(fgoldi *X, fgoldi *Y, fgoldi *Z,
+ const fgoldi *X0, const fgoldi *Y0, const fgoldi *Z0)
+{
+ fgoldi t0, t1, t2;
+
+ /* Bernstein and Lange, `Faster addition and doubling on elliptic curves',
+ * 2007-09-06, https://cr.yp.to/newelliptic/newelliptic-20070906.pdf shows
+ * the formulae as:
+ *
+ * B = (X1 + Y1)^2; C = X1^2; D = Y1^2;
+ * E = C + D; H = (c Z1)^2; J = E - 2 H;
+ * X3 = c (B - E) J; Y3 = c E (C - D); Z3 = E J
+ *
+ * But c = 1 here.
+ */
+
+ fgoldi_add(&t0, X0, Y0); /* t0 = X0 + Y0 */
+ fgoldi_sqr(&t0, &t0); /* t0 = B = (X0 + Y0)^2 */
+ fgoldi_sqr(&t1, X0); /* t1 = C = X0^2 */
+ fgoldi_sqr(&t2, Y0); /* t2 = D = Y0^2 */
+ fgoldi_add(Y, &t1, &t2); /* Y = E = C + D */
+ fgoldi_sub(&t1, &t1, &t2); /* t1 = C - D */
+ fgoldi_sub(X, &t0, Y); /* X = c (B - E) */
+ fgoldi_sqr(&t0, Z0); /* t0 = H = (c Z0)^2 */
+ fgoldi_mulconst(&t0, &t0, 2); /* t0 = 2 H */
+ fgoldi_sub(&t0, Y, &t0); /* t0 = J = E - 2 H */
+ fgoldi_mul(X, X, &t0); /* X = c (B - E) J */
+ fgoldi_mul(Z, Y, &t0); /* Z = E J */
+ fgoldi_mul(Y, Y, &t1); /* Y = c E (C - D) */
+}
+
+static DEFINE_SCMUL(ptmul, fgoldi, 4, PIECEWD, NPIECE, ptadd, ptdbl)
+static DEFINE_SCSIMMUL(ptsimmul, fgoldi, 2, PIECEWD, NPIECE, ptadd, ptdbl)
+
+/*----- Key derivation utilities ------------------------------------------*/
+
+static void unpack_key(scaf_piece a[NPIECE], octet h1[57],
+ const octet *k, size_t ksz)
+{
+ shake_ctx h;
+ octet b[57];
+
+ shake256_init(&h); shake_hash(&h, k, ksz);
+ shake_xof(&h); shake_get(&h, b, sizeof(b));
+ b[0] &= 0xfcu; b[55] |= 0x80u; scaf_load(a, b, 56, NPIECE, PIECEWD);
+ if (h1) shake_get(&h, h1, 57);
+}
+
+#define PREFIX_BUFSZ 266
+static size_t prefix(octet b[PREFIX_BUFSZ],
+ int phflag, const octet *p, size_t psz)
+{
+ memcpy(b, "SigEd448", 8);
+ b[8] = phflag;
+ assert(psz <= ED448_MAXPERSOSZ); b[9] = psz; memcpy(b + 10, p, psz);
+ return (psz + 10);
+}
+
+/*----- Main code ---------------------------------------------------------*/
+
+/* --- @ed448_pubkey@ --- *
+ *
+ * Arguments: @octet K[ED448_PUBSZ]@ = where to put the public key
+ * @const void *k@ = private key
+ * @size_t ksz@ = length of private key
+ *
+ * Returns: ---
+ *
+ * Use: Derives the public key from a private key.
+ */
+
+void ed448_pubkey(octet K[ED448_PUBSZ], const void *k, size_t ksz)
+{
+ scaf_piece a[NPIECE];
+ fgoldi AX, AY, AZ;
+
+ unpack_key(a, 0, k, ksz);
+ ptmul(&AX, &AY, &AZ, a, BX, BY, BZ);
+ ptencode(K, &AX, &AY, &AZ);
+}
+
+/* --- @ed448_sign@ --- *
+ *
+ * Arguments: @octet sig[ED448_SIGSZ]@ = where to put the signature
+ * @const void *k@ = private key
+ * @size_t ksz@ = length of private key
+ * @const octet K[ED448_PUBSZ]@ = public key
+ * @int phflag@ = whether the `message' has been hashed already
+ * @const void *p@ = personalization string
+ * @size_t psz@ = length of personalization string
+ * @const void *m@ = message to sign
+ * @size_t msz@ = length of message
+ *
+ * Returns: ---
+ *
+ * Use: Signs a message.
+ */
+
+void ed448_sign(octet sig[ED448_SIGSZ],
+ const void *k, size_t ksz, const octet K[ED448_PUBSZ],
+ int phflag, const void *p, size_t psz,
+ const void *m, size_t msz)
+{
+ shake_ctx h;
+ scaf_piece a[NPIECE], r[NPIECE], t[NPIECE], scratch[3*NPIECE + 1];
+ scaf_dblpiece tt[2*NPIECE];
+ fgoldi RX, RY, RZ;
+ octet h1[57], pb[PREFIX_BUFSZ], rb[114];
+ unsigned i;
+
+ /* Get my private key. */
+ unpack_key(a, h1, k, ksz);
+
+ /* Determine the prefix string. */
+ psz = prefix(pb, phflag, p, psz);
+
+ /* Select the nonce and the vector part. */
+ shake256_init(&h);
+ shake_hash(&h, pb, psz);
+ shake_hash(&h, h1, sizeof(h1));
+ shake_hash(&h, m, msz);
+ shake_done(&h, rb, 114);
+ scaf_loaddbl(tt, rb, 114, 2*NPIECE, PIECEWD);
+ scaf_reduce(r, tt, l, mu, NPIECE, PIECEWD, scratch);
+ ptmul(&RX, &RY, &RZ, r, BX, BY, BZ);
+ ptencode(sig, &RX, &RY, &RZ);
+
+ /* Calculate the scalar part. */
+ shake256_init(&h);
+ shake_hash(&h, pb, psz);
+ shake_hash(&h, sig, 57);
+ shake_hash(&h, K, 57);
+ shake_hash(&h, m, msz);
+ shake_done(&h, rb, 114);
+ scaf_loaddbl(tt, rb, 114, 2*NPIECE, PIECEWD);
+ scaf_reduce(t, tt, l, mu, NPIECE, PIECEWD, scratch);
+ scaf_mul(tt, t, a, NPIECE);
+ for (i = 0; i < NPIECE; i++) tt[i] += r[i];
+ scaf_reduce(t, tt, l, mu, NPIECE, PIECEWD, scratch);
+ scaf_store(sig + 57, 57, t, NPIECE, PIECEWD);
+}
+
+/* --- @ed448_verify@ --- *
+ *
+ * Arguments: @const octet K[ED448_PUBSZ]@ = public key
+ * @const void *m@ = message to sign
+ * @int phflag@ = whether the `message' has been hashed already
+ * @const void *p@ = personalization string
+ * @size_t psz@ = length of personalization string
+ * @size_t msz@ = length of message
+ * @const octet sig[ED448_SIGSZ]@ = signature
+ *
+ * Returns: Zero if OK, negative on failure.
+ *
+ * Use: Verify a signature.
+ */
+
+int ed448_verify(const octet K[ED448_PUBSZ],
+ int phflag, const void *p, size_t psz,
+ const void *m, size_t msz,
+ const octet sig[ED448_SIGSZ])
+{
+ shake_ctx h;
+ scaf_piece s[NPIECE], t[NPIECE], scratch[3*NPIECE + 1];
+ scaf_dblpiece tt[2*NPIECE];
+ fgoldi AX, AY, AZ, RX, RY, RZ;
+ octet b[PREFIX_BUFSZ];
+
+ /* Unpack the public key. Negate it: we're meant to subtract the term
+ * involving the public key point, and this is easier than negating the
+ * scalar.
+ */
+ if (ptdecode(&AX, &AY, &AZ, K)) return (-1);
+ fgoldi_neg(&AX, &AX);
+
+ /* Load the scalar and check that it's in range. The easy way is to store
+ * it again and see if the two match.
+ */
+ scaf_loaddbl(tt, sig + 57, 57, 2*NPIECE, PIECEWD);
+ scaf_reduce(s, tt, l, mu, NPIECE, PIECEWD, scratch);
+ scaf_store(b, 57, s, NPIECE, PIECEWD);
+ if (memcmp(b, sig + 57, 57) != 0) return (-1);
+
+ /* Check the signature. */
+ psz = prefix(b, phflag, p, psz);
+ shake256_init(&h);
+ shake_hash(&h, b, psz);
+ shake_hash(&h, sig, 57);
+ shake_hash(&h, K, ED448_PUBSZ);
+ shake_hash(&h, m, msz);
+ shake_done(&h, b, 114);
+ scaf_loaddbl(tt, b, 114, 2*NPIECE, PIECEWD);
+ scaf_reduce(t, tt, l, mu, NPIECE, PIECEWD, scratch);
+ ptsimmul(&RX, &RY, &RZ, s, BX, BY, BZ, t, &AX, &AY, &AZ);
+ ptencode(b, &RX, &RY, &RZ);
+ if (memcmp(b, sig, 57) != 0) return (-1);
+
+ /* All is good. */
+ return (0);
+}
+
+/*----- Test rig ----------------------------------------------------------*/
+
+#ifdef TEST_RIG
+
+#include <stdio.h>
+#include <string.h>
+
+#include <mLib/report.h>
+#include <mLib/testrig.h>
+
+static int vrf_pubkey(dstr dv[])
+{
+ dstr dpub = DSTR_INIT;
+ int ok = 1;
+
+ if (dv[1].len != ED448_PUBSZ) die(1, "bad pub length");
+
+ dstr_ensure(&dpub, ED448_PUBSZ); dpub.len = ED448_PUBSZ;
+ ed448_pubkey((octet *)dpub.buf, dv[0].buf, dv[0].len);
+ if (memcmp(dpub.buf, dv[1].buf, ED448_PUBSZ) != 0) {
+ ok = 0;
+ fprintf(stderr, "failed!");
+ fprintf(stderr, "\n\tpriv = "); type_hex.dump(&dv[0], stderr);
+ fprintf(stderr, "\n\tcalc = "); type_hex.dump(&dpub, stderr);
+ fprintf(stderr, "\n\twant = "); type_hex.dump(&dv[1], stderr);
+ fprintf(stderr, "\n");
+ }
+
+ dstr_destroy(&dpub);
+ return (ok);
+}
+
+static int vrf_sign(dstr *priv, int phflag, dstr *perso,
+ dstr *msg, dstr *want)
+{
+ shake_ctx h;
+ octet K[ED448_PUBSZ];
+ dstr d = DSTR_INIT, dsig = DSTR_INIT, *m;
+ int ok = 1;
+
+ if (want->len != ED448_SIGSZ) die(1, "bad result length");
+
+ dstr_ensure(&dsig, ED448_SIGSZ); dsig.len = ED448_SIGSZ;
+ if (phflag <= 0)
+ m = msg;
+ else {
+ dstr_ensure(&d, 64); d.len = 64;
+ shake256_init(&h);
+ shake_hash(&h, msg->buf, msg->len);
+ shake_done(&h, d.buf, d.len);
+ m = &d;
+ }
+ ed448_pubkey(K, priv->buf, priv->len);
+ ed448_sign((octet *)dsig.buf, priv->buf, priv->len, K,
+ phflag, perso ? perso->buf : 0, perso ? perso->len : 0,
+ m->buf, m->len);
+ if (memcmp(dsig.buf, want->buf, ED448_SIGSZ) != 0) {
+ ok = 0;
+ fprintf(stderr, "failed!");
+ fprintf(stderr, "\n\tpriv = "); type_hex.dump(priv, stderr);
+ if (phflag >= 0) {
+ fprintf(stderr, "\n\t ph = %d", phflag);
+ fprintf(stderr, "\n\tpers = "); type_hex.dump(perso, stderr);
+ }
+ fprintf(stderr, "\n\t msg = "); type_hex.dump(msg, stderr);
+ if (phflag > 0)
+ { fprintf(stderr, "\n\thash = "); type_hex.dump(m, stderr); }
+ fprintf(stderr, "\n\tcalc = "); type_hex.dump(&dsig, stderr);
+ fprintf(stderr, "\n\twant = "); type_hex.dump(want, stderr);
+ fprintf(stderr, "\n");
+ }
+
+ dstr_destroy(&dsig);
+ return (ok);
+}
+
+static int vrf_sign_ctx(dstr *dv)
+ { return (vrf_sign(&dv[0], *(int *)dv[1].buf, &dv[2], &dv[3], &dv[4])); }
+
+static int vrf_verify(dstr *pub, int phflag, dstr *perso,
+ dstr *msg, dstr *sig, int rc_want)
+{
+ shake_ctx h;
+ int rc_calc;
+ dstr d = DSTR_INIT, *m;
+ int ok = 1;
+
+ if (pub->len != ED448_PUBSZ) die(1, "bad pub length");
+ if (sig->len != ED448_SIGSZ) die(1, "bad sig length");
+
+ if (phflag <= 0)
+ m = msg;
+ else {
+ dstr_ensure(&d, 64); d.len = 64;
+ shake256_init(&h);
+ shake_hash(&h, msg->buf, msg->len);
+ shake_done(&h, d.buf, d.len);
+ m = &d;
+ }
+ rc_calc = ed448_verify((const octet *)pub->buf,
+ phflag, perso ? perso->buf : 0,
+ perso ? perso->len : 0,
+ m->buf, m->len,
+ (const octet *)sig->buf);
+ if (!rc_want != !rc_calc) {
+ ok = 0;
+ fprintf(stderr, "failed!");
+ fprintf(stderr, "\n\t pub = "); type_hex.dump(pub, stderr);
+ if (phflag >= 0) {
+ fprintf(stderr, "\n\t ph = %d", phflag);
+ fprintf(stderr, "\n\tpers = "); type_hex.dump(perso, stderr);
+ }
+ fprintf(stderr, "\n\t msg = "); type_hex.dump(msg, stderr);
+ if (phflag > 0)
+ { fprintf(stderr, "\n\thash = "); type_hex.dump(m, stderr); }
+ fprintf(stderr, "\n\t sig = "); type_hex.dump(sig, stderr);
+ fprintf(stderr, "\n\tcalc = %d", rc_calc);
+ fprintf(stderr, "\n\twant = %d", rc_want);
+ fprintf(stderr, "\n");
+ }
+
+ return (ok);
+}
+
+static int vrf_verify_ctx(dstr *dv)
+{
+ return (vrf_verify(&dv[0], *(int *)dv[1].buf, &dv[2],
+ &dv[3], &dv[4], *(int *)dv[5].buf));
+}
+
+static test_chunk tests[] = {
+ { "pubkey", vrf_pubkey, { &type_hex, &type_hex } },
+ { "sign", vrf_sign_ctx,
+ { &type_hex, &type_int, &type_hex, &type_hex, &type_hex } },
+ { "verify", vrf_verify_ctx,
+ { &type_hex, &type_int, &type_hex, &type_hex, &type_hex, &type_int } },
+ { 0, 0, { 0 } }
+};
+
+int main(int argc, char *argv[])
+{
+ test_run(argc, argv, tests, SRCDIR "/t/ed448");
+ return (0);
+}
+
+#endif
+
+/*----- That's all, folks -------------------------------------------------*/
--- /dev/null
+### Test vectors for Ed448.
+
+pubkey {
+ ## Tests from RFC8032.
+ 6c82a562cb808d10d632be89c8513ebf6c929f34ddfa8c9f63c9960ef6e348a3528c8a3fcc2f044e39a3fc5b94492f8f032e7549a20098f95b
+ 5fd7449b59b461fd2ce787ec616ad46a1da1342485a70e1f8a0ea75d80e96778edf124769b46c7061bd6783df1e50f6cd1fa1abeafe8256180;
+ c4eab05d357007c632f3dbb48489924d552b08fe0c353a0d4a1f00acda2c463afbea67c5e8d2877c5e3bc397a659949ef8021e954e0a12274e
+ 43ba28f430cdff456ae531545f7ecd0ac834a55d9358c0372bfa0c6c6798c0866aea01eb00742802b8438ea4cb82169c235160627b4c3a9480;
+ cd23d24f714274e744343237b93290f511f6425f98e64459ff203e8985083ffdf60500553abc0e05cd02184bdb89c4ccd67e187951267eb328
+ dcea9e78f35a1bf3499a831b10b86c90aac01cd84b67a0109b55a36e9328b1e365fce161d71ce7131a543ea4cb5f7e9f1d8b00696447001400;
+ 258cdd4ada32ed9c9ff54e63756ae582fb8fab2ac721f2c8e676a72768513d939f63dddb55609133f29adf86ec9929dccb52c1c5fd2ff7e21b
+ 3ba16da0c6f2cc1f30187740756f5e798d6bc5fc015d7c63cc9510ee3fd44adc24d8e968b6e46e6f94d19b945361726bd75e149ef09817f580;
+ 7ef4e84544236752fbb56b8f31a23a10e42814f5f55ca037cdcc11c64c9a3b2949c1bb60700314611732a6c2fea98eebc0266a11a93970100e
+ b3da079b0aa493a5772029f0467baebee5a8112d9d3a22532361da294f7bb3815c5dc59e176b4d9f381ca0938e13c6c07b174be65dfa578e80;
+ d65df341ad13e008567688baedda8e9dcdc17dc024974ea5b4227b6530e339bff21f99e68ca6968f3cca6dfe0fb9f4fab4fa135d5542ea3f01
+ df9705f58edbab802c7f8363cfe5560ab1c6132c20a9f1dd163483a26f8ac53a39d6808bf4a1dfbd261b099bb03b3fb50906cb28bd8a081f00;
+ 2ec5fe3c17045abdb136a5e6a913e32ab75ae68b53d2fc149b77e504132d37569b7e766ba74a19bd6162343a21c8590aa9cebca9014c636df5
+ 79756f014dcfe2079f5dd9e718be4171e2ef2486a08f25186f6bff43a9936b9bfe12402b08ae65798a3d81e22e9ec80e7690862ef3d4ed3a00;
+ 872d093780f5d3730df7c212664b37b8a0f24f56810daa8382cd4fa3f77634ec44dc54f1c2ed9bea86fafb7632d8be199ea165f5ad55dd9ce8
+ a81b2e8a70a5ac94ffdbcc9badfc3feb0801f258578bb114ad44ece1ec0e799da08effb81c5d685c0c56f64eecaef8cdf11cc38737838cf400;
+ 833fe62409237b9d62ec77587520911e9a759cec1d19755b7da901b96dca3d42ef7822e0d5104127dc05d6dbefde69e3ab2cec7c867c6e2c49
+ 259b71c19f83ef77a7abd26524cbdb3161b590a48f7d17de3ee0ba9c52beb743c09428a131d6b1b57303d90d8132c276d5ed3d5d01c0f53880;
+}
+
+verify {
+ ## Tests from RFC8032.
+ 5fd7449b59b461fd2ce787ec616ad46a1da1342485a70e1f8a0ea75d80e96778edf124769b46c7061bd6783df1e50f6cd1fa1abeafe8256180
+ 0 ""
+ ""
+ 533a37f6bbe457251f023c0d88f976ae2dfb504a843e34d2074fd823d41a591f2b233f034f628281f2fd7a22ddd47d7828c59bd0a21bfd3980ff0d2028d4b18a9df63e006c5d1c2d345b925d8dc00b4104852db99ac5c7cdda8530a113a0f4dbb61149f05a7363268c71d95808ff2e652600
+ 0;
+ 43ba28f430cdff456ae531545f7ecd0ac834a55d9358c0372bfa0c6c6798c0866aea01eb00742802b8438ea4cb82169c235160627b4c3a9480
+ 0 ""
+ 03
+ 26b8f91727bd62897af15e41eb43c377efb9c610d48f2335cb0bd0087810f4352541b143c4b981b7e18f62de8ccdf633fc1bf037ab7cd779805e0dbcc0aae1cbcee1afb2e027df36bc04dcecbf154336c19f0af7e0a6472905e799f1953d2a0ff3348ab21aa4adafd1d234441cf807c03a00
+ 0;
+ 43ba28f430cdff456ae531545f7ecd0ac834a55d9358c0372bfa0c6c6798c0866aea01eb00742802b8438ea4cb82169c235160627b4c3a9480
+ 0 666f6f
+ 03
+ d4f8f6131770dd46f40867d6fd5d5055de43541f8c5e35abbcd001b32a89f7d2151f7647f11d8ca2ae279fb842d607217fce6e042f6815ea000c85741de5c8da1144a6a1aba7f96de42505d7a7298524fda538fccbbb754f578c1cad10d54d0d5428407e85dcbc98a49155c13764e66c3c00
+ 0;
+ dcea9e78f35a1bf3499a831b10b86c90aac01cd84b67a0109b55a36e9328b1e365fce161d71ce7131a543ea4cb5f7e9f1d8b00696447001400
+ 0 ""
+ 0c3e544074ec63b0265e0c
+ 1f0a8888ce25e8d458a21130879b840a9089d999aaba039eaf3e3afa090a09d389dba82c4ff2ae8ac5cdfb7c55e94d5d961a29fe0109941e00b8dbdeea6d3b051068df7254c0cdc129cbe62db2dc957dbb47b51fd3f213fb8698f064774250a5028961c9bf8ffd973fe5d5c206492b140e00
+ 0;
+ 3ba16da0c6f2cc1f30187740756f5e798d6bc5fc015d7c63cc9510ee3fd44adc24d8e968b6e46e6f94d19b945361726bd75e149ef09817f580
+ 0 ""
+ 64a65f3cdedcdd66811e2915
+ 7eeeab7c4e50fb799b418ee5e3197ff6bf15d43a14c34389b59dd1a7b1b85b4ae90438aca634bea45e3a2695f1270f07fdcdf7c62b8efeaf00b45c2c96ba457eb1a8bf075a3db28e5c24f6b923ed4ad747c3c9e03c7079efb87cb110d3a99861e72003cbae6d6b8b827e4e6c143064ff3c00
+ 0;
+ b3da079b0aa493a5772029f0467baebee5a8112d9d3a22532361da294f7bb3815c5dc59e176b4d9f381ca0938e13c6c07b174be65dfa578e80
+ 0 ""
+ 64a65f3cdedcdd66811e2915e7
+ 6a12066f55331b6c22acd5d5bfc5d71228fbda80ae8dec26bdd306743c5027cb4890810c162c027468675ecf645a83176c0d7323a2ccde2d80efe5a1268e8aca1d6fbc194d3f77c44986eb4ab4177919ad8bec33eb47bbb5fc6e28196fd1caf56b4e7e0ba5519234d047155ac727a1053100
+ 0;
+ df9705f58edbab802c7f8363cfe5560ab1c6132c20a9f1dd163483a26f8ac53a39d6808bf4a1dfbd261b099bb03b3fb50906cb28bd8a081f00
+ 0 ""
+ bd0f6a3747cd561bdddf4640a332461a4a30a12a434cd0bf40d766d9c6d458e5512204a30c17d1f50b5079631f64eb3112182da3005835461113718d1a5ef944
+ 554bc2480860b49eab8532d2a533b7d578ef473eeb58c98bb2d0e1ce488a98b18dfde9b9b90775e67f47d4a1c3482058efc9f40d2ca033a0801b63d45b3b722ef552bad3b4ccb667da350192b61c508cf7b6b5adadc2c8d9a446ef003fb05cba5f30e88e36ec2703b349ca229c2670833900
+ 0;
+ 79756f014dcfe2079f5dd9e718be4171e2ef2486a08f25186f6bff43a9936b9bfe12402b08ae65798a3d81e22e9ec80e7690862ef3d4ed3a00
+ 0 ""
+ 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
+ c650ddbb0601c19ca11439e1640dd931f43c518ea5bea70d3dcde5f4191fe53f00cf966546b72bcc7d58be2b9badef28743954e3a44a23f880e8d4f1cfce2d7a61452d26da05896f0a50da66a239a8a188b6d825b3305ad77b73fbac0836ecc60987fd08527c1a8e80d5823e65cafe2a3d00
+ 0;
+ 259b71c19f83ef77a7abd26524cbdb3161b590a48f7d17de3ee0ba9c52beb743c09428a131d6b1b57303d90d8132c276d5ed3d5d01c0f53880
+ 1 666f6f
+ 616263
+ c32299d46ec8ff02b54540982814dce9a05812f81962b649d528095916a2aa481065b1580423ef927ecf0af5888f90da0f6a9a85ad5dc3f280d91224ba9911a3653d00e484e2ce232521481c8658df304bb7745a73514cdb9bf3e15784ab71284f8d0704a608c54a6b62d97beb511d132100
+ 0;
+ 259b71c19f83ef77a7abd26524cbdb3161b590a48f7d17de3ee0ba9c52beb743c09428a131d6b1b57303d90d8132c276d5ed3d5d01c0f53880
+ 1 ""
+ 616263
+ 822f6901f7480f3d5f562c592994d9693602875614483256505600bbc281ae381f54d6bce2ea911574932f52a4e6cadd78769375ec3ffd1b801a0d9b3f4030cd433964b6457ea39476511214f97469b57dd32dbc560a9a94d00bff07620464a3ad203df7dc7ce360c3cd3696d9d9fab90f00
+ 0;
+ a81b2e8a70a5ac94ffdbcc9badfc3feb0801f258578bb114ad44ece1ec0e799da08effb81c5d685c0c56f64eecaef8cdf11cc38737838cf400
+ 0 ""
+ 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
+ e301345a41a39a4d72fff8df69c98075a0cc082b802fc9b2b6bc503f926b65bddf7f4c8f1cb49f6396afc8a70abe6d8aef0db478d4c6b2970076c6a0484fe76d76b3a97625d79f1ce240e7c576750d295528286f719b413de9ada3e8eb78ed573603ce30d8bb761785dc30dbc320869e1a00
+ 0;
+
+ ## Some negative tests.
+ 5fd7449b59b461fd2ce787ec616ad46a1da1342485a70e1f8a0ea75d80e96778edf124769b46c7061bd6783df1e50f6cd1fa1abeafe8256180
+ 1 ""
+ ""
+ 533a37f6bbe457251f023c0d88f976ae2dfb504a843e34d2074fd823d41a591f2b233f034f628281f2fd7a22ddd47d7828c59bd0a21bfd3980ff0d2028d4b18a9df63e006c5d1c2d345b925d8dc00b4104852db99ac5c7cdda8530a113a0f4dbb61149f05a7363268c71d95808ff2e652600
+ -1;
+ 5fd7449b59b461fd2ce787ec616ad46a1da1342485a70e1f8a0ea75d80e96778edf124769b46c7061bd6783df1e50f6cd1fa1abeafe8256180
+ 0 ff
+ ""
+ 533a37f6bbe457251f023c0d88f976ae2dfb504a843e34d2074fd823d41a591f2b233f034f628281f2fd7a22ddd47d7828c59bd0a21bfd3980ff0d2028d4b18a9df63e006c5d1c2d345b925d8dc00b4104852db99ac5c7cdda8530a113a0f4dbb61149f05a7363268c71d95808ff2e652600
+ -1;
+ 5fd7449b59b461fd2ce787ec616ad46a1da1342485a70e1f8a0ea75d80e96778edf124769b46c7061bd6783df1e50f6cd1fa1abeafe8256180
+ 0 ""
+ ff
+ 533a37f6bbe457251f023c0d88f976ae2dfb504a843e34d2074fd823d41a591f2b233f034f628281f2fd7a22ddd47d7828c59bd0a21bfd3980ff0d2028d4b18a9df63e006c5d1c2d345b925d8dc00b4104852db99ac5c7cdda8530a113a0f4dbb61149f05a7363268c71d95808ff2e652600
+ -1;
+ 5ed7449b59b461fd2ce787ec616ad46a1da1342485a70e1f8a0ea75d80e96778edf124769b46c7061bd6783df1e50f6cd1fa1abeafe8256180
+ 0 ""
+ ""
+ 533a37f6bbe457251f023c0d88f976ae2dfb504a843e34d2074fd823d41a591f2b233f034f628281f2fd7a22ddd47d7828c59bd0a21bfd3980ff0d2028d4b18a9df63e006c5d1c2d345b925d8dc00b4104852db99ac5c7cdda8530a113a0f4dbb61149f05a7363268c71d95808ff2e652600
+ -1;
+ 5fd7449b59b461fd2ce787ec616ad46a1da1342485a70e1f8a0ea75d80e96778edf124769b46c7061bd6783df1e50f6cd1fa1abeafe8256180
+ 0 ""
+ ""
+ 633a37f6bbe457251f023c0d88f976ae2dfb504a843e34d2074fd823d41a591f2b233f034f628281f2fd7a22ddd47d7828c59bd0a21bfd3980ff0d2028d4b18a9df63e006c5d1c2d345b925d8dc00b4104852db99ac5c7cdda8530a113a0f4dbb61149f05a7363268c71d95808ff2e652600
+ -1;
+
+ ## Check that noncanonical scalars are rejected. The first base test is
+ ## repeated from below, for context; let s be the scalar part of the
+ ## signature, and ℓ be the curve order. The first negative test has s' = s
+ ## + ℓ < 2^448, so the top byte is still zero. The second negative test
+ ## has s'' = s + 2^224, and the third has 2^448 < s'' = s + 4 ℓ < 2^448 +
+ ## ℓ; an implementation which handles the top byte incorrectly will fail at
+ ## least one of these.
+ 5fd7449b59b461fd2ce787ec616ad46a1da1342485a70e1f8a0ea75d80e96778edf124769b46c7061bd6783df1e50f6cd1fa1abeafe8256180
+ 0 ""
+ ""
+ 533a37f6bbe457251f023c0d88f976ae2dfb504a843e34d2074fd823d41a591f2b233f034f628281f2fd7a22ddd47d7828c59bd0a21bfd3980ff0d2028d4b18a9df63e006c5d1c2d345b925d8dc00b4104852db99ac5c7cdda8530a113a0f4dbb61149f05a7363268c71d95808ff2e652600
+ 0;
+ 5fd7449b59b461fd2ce787ec616ad46a1da1342485a70e1f8a0ea75d80e96778edf124769b46c7061bd6783df1e50f6cd1fa1abeafe8256180
+ 0 ""
+ ""
+ 533a37f6bbe457251f023c0d88f976ae2dfb504a843e34d2074fd823d41a591f2b233f034f628281f2fd7a22ddd47d7828c59bd0a21bfd3980f25278d3667403c14bcec5f9cfde9955ebc8333c0ae78fc86e518317c5c7cdda8530a113a0f4dbb61149f05a7363268c71d95808ff2e656600
+ -1;
+ 5fd7449b59b461fd2ce787ec616ad46a1da1342485a70e1f8a0ea75d80e96778edf124769b46c7061bd6783df1e50f6cd1fa1abeafe8256180
+ 0 ""
+ ""
+ 533a37f6bbe457251f023c0d88f976ae2dfb504a843e34d2074fd823d41a591f2b233f034f628281f2fd7a22ddd47d7828c59bd0a21bfd3980ff0d2028d4b18a9df63e006c5d1c2d345b925d8dc00b4104852db99ac5c7cdda8530a113a0f4dbb61149f05a7363268c71d95808ff2e652601
+ -1;
+ 5fd7449b59b461fd2ce787ec616ad46a1da1342485a70e1f8a0ea75d80e96778edf124769b46c7061bd6783df1e50f6cd1fa1abeafe8256180
+ 0 ""
+ ""
+ 533a37f6bbe457251f023c0d88f976ae2dfb504a843e34d2074fd823d41a591f2b233f034f628281f2fd7a22ddd47d7828c59bd0a21bfd3980cb2181d51ebc6d2b4b7c16a32726e0b99b6cb648e7787c152cbde18dc3c7cdda8530a113a0f4dbb61149f05a7363268c71d95808ff2e652601
+ -1;
+
+ ## OK, so this is a massive cheat, but otherwise testing that out-of-range
+ ## coordinates are rejected is really hard. Pick A = (0, 1), which is the
+ ## identity in E. Then n A = A for all n; in particular, H(R, A, M) A = A
+ ## for any choice of R and M. Furthermore, R = R + H(R, A, M) A for any R.
+ ## Let's pick R = A = (0, 1), because that seems to be working out for us.
+ ## Then s P = R + H(R, A, M) A exactly when s = 0 (mod ℓ).
+ ##
+ ## This is obviously a really daft choice of public key for security,
+ ## because the following is a completely general-purpose signature for all
+ ## messages.
+ ##
+ ## Why bother, you ask? Well, because (0, 1) is one of the few points
+ ## which has a reduntant representation. So we can use this to check that
+ ## we're correctly rejecting signatures which aren't in normal form.
+ 010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+ 0 ""
+ 416c6c2d707572706f7365207369676e6174757265210a
+ 010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+ 0;
+ 00000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
+ 0 ""
+ 416c6c2d707572706f7365207369676e6174757265210a
+ 010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+ -1;
+ 010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+ 0 ""
+ 416c6c2d707572706f7365207369676e6174757265210a
+ 00000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+ -1;
+
+ ## Also check that the dead bits in the top byte of a public key and
+ ## signature are ignored.
+ 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000a
+ 0 ""
+ 416c6c2d707572706f7365207369676e6174757265210a
+ 010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+ -1;
+ 010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+ 0 ""
+ 416c6c2d707572706f7365207369676e6174757265210a
+ 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000a000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
+ -1;
+}
+
+sign {
+ ## Tests from RFC8032.
+ 6c82a562cb808d10d632be89c8513ebf6c929f34ddfa8c9f63c9960ef6e348a3528c8a3fcc2f044e39a3fc5b94492f8f032e7549a20098f95b
+ 0 ""
+ ""
+ 533a37f6bbe457251f023c0d88f976ae2dfb504a843e34d2074fd823d41a591f2b233f034f628281f2fd7a22ddd47d7828c59bd0a21bfd3980ff0d2028d4b18a9df63e006c5d1c2d345b925d8dc00b4104852db99ac5c7cdda8530a113a0f4dbb61149f05a7363268c71d95808ff2e652600;
+ c4eab05d357007c632f3dbb48489924d552b08fe0c353a0d4a1f00acda2c463afbea67c5e8d2877c5e3bc397a659949ef8021e954e0a12274e
+ 0 ""
+ 03
+ 26b8f91727bd62897af15e41eb43c377efb9c610d48f2335cb0bd0087810f4352541b143c4b981b7e18f62de8ccdf633fc1bf037ab7cd779805e0dbcc0aae1cbcee1afb2e027df36bc04dcecbf154336c19f0af7e0a6472905e799f1953d2a0ff3348ab21aa4adafd1d234441cf807c03a00;
+ c4eab05d357007c632f3dbb48489924d552b08fe0c353a0d4a1f00acda2c463afbea67c5e8d2877c5e3bc397a659949ef8021e954e0a12274e
+ 0 666f6f
+ 03
+ d4f8f6131770dd46f40867d6fd5d5055de43541f8c5e35abbcd001b32a89f7d2151f7647f11d8ca2ae279fb842d607217fce6e042f6815ea000c85741de5c8da1144a6a1aba7f96de42505d7a7298524fda538fccbbb754f578c1cad10d54d0d5428407e85dcbc98a49155c13764e66c3c00;
+ cd23d24f714274e744343237b93290f511f6425f98e64459ff203e8985083ffdf60500553abc0e05cd02184bdb89c4ccd67e187951267eb328
+ 0 ""
+ 0c3e544074ec63b0265e0c
+ 1f0a8888ce25e8d458a21130879b840a9089d999aaba039eaf3e3afa090a09d389dba82c4ff2ae8ac5cdfb7c55e94d5d961a29fe0109941e00b8dbdeea6d3b051068df7254c0cdc129cbe62db2dc957dbb47b51fd3f213fb8698f064774250a5028961c9bf8ffd973fe5d5c206492b140e00;
+ 258cdd4ada32ed9c9ff54e63756ae582fb8fab2ac721f2c8e676a72768513d939f63dddb55609133f29adf86ec9929dccb52c1c5fd2ff7e21b
+ 0 ""
+ 64a65f3cdedcdd66811e2915
+ 7eeeab7c4e50fb799b418ee5e3197ff6bf15d43a14c34389b59dd1a7b1b85b4ae90438aca634bea45e3a2695f1270f07fdcdf7c62b8efeaf00b45c2c96ba457eb1a8bf075a3db28e5c24f6b923ed4ad747c3c9e03c7079efb87cb110d3a99861e72003cbae6d6b8b827e4e6c143064ff3c00;
+ 7ef4e84544236752fbb56b8f31a23a10e42814f5f55ca037cdcc11c64c9a3b2949c1bb60700314611732a6c2fea98eebc0266a11a93970100e
+ 0 ""
+ 64a65f3cdedcdd66811e2915e7
+ 6a12066f55331b6c22acd5d5bfc5d71228fbda80ae8dec26bdd306743c5027cb4890810c162c027468675ecf645a83176c0d7323a2ccde2d80efe5a1268e8aca1d6fbc194d3f77c44986eb4ab4177919ad8bec33eb47bbb5fc6e28196fd1caf56b4e7e0ba5519234d047155ac727a1053100;
+ d65df341ad13e008567688baedda8e9dcdc17dc024974ea5b4227b6530e339bff21f99e68ca6968f3cca6dfe0fb9f4fab4fa135d5542ea3f01
+ 0 ""
+ bd0f6a3747cd561bdddf4640a332461a4a30a12a434cd0bf40d766d9c6d458e5512204a30c17d1f50b5079631f64eb3112182da3005835461113718d1a5ef944
+ 554bc2480860b49eab8532d2a533b7d578ef473eeb58c98bb2d0e1ce488a98b18dfde9b9b90775e67f47d4a1c3482058efc9f40d2ca033a0801b63d45b3b722ef552bad3b4ccb667da350192b61c508cf7b6b5adadc2c8d9a446ef003fb05cba5f30e88e36ec2703b349ca229c2670833900;
+ 2ec5fe3c17045abdb136a5e6a913e32ab75ae68b53d2fc149b77e504132d37569b7e766ba74a19bd6162343a21c8590aa9cebca9014c636df5
+ 0 ""
+ 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
+ c650ddbb0601c19ca11439e1640dd931f43c518ea5bea70d3dcde5f4191fe53f00cf966546b72bcc7d58be2b9badef28743954e3a44a23f880e8d4f1cfce2d7a61452d26da05896f0a50da66a239a8a188b6d825b3305ad77b73fbac0836ecc60987fd08527c1a8e80d5823e65cafe2a3d00;
+ 872d093780f5d3730df7c212664b37b8a0f24f56810daa8382cd4fa3f77634ec44dc54f1c2ed9bea86fafb7632d8be199ea165f5ad55dd9ce8
+ 0 ""
+ 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
+ e301345a41a39a4d72fff8df69c98075a0cc082b802fc9b2b6bc503f926b65bddf7f4c8f1cb49f6396afc8a70abe6d8aef0db478d4c6b2970076c6a0484fe76d76b3a97625d79f1ce240e7c576750d295528286f719b413de9ada3e8eb78ed573603ce30d8bb761785dc30dbc320869e1a00;
+ 833fe62409237b9d62ec77587520911e9a759cec1d19755b7da901b96dca3d42ef7822e0d5104127dc05d6dbefde69e3ab2cec7c867c6e2c49
+ 1 ""
+ 616263
+ 822f6901f7480f3d5f562c592994d9693602875614483256505600bbc281ae381f54d6bce2ea911574932f52a4e6cadd78769375ec3ffd1b801a0d9b3f4030cd433964b6457ea39476511214f97469b57dd32dbc560a9a94d00bff07620464a3ad203df7dc7ce360c3cd3696d9d9fab90f00;
+ 833fe62409237b9d62ec77587520911e9a759cec1d19755b7da901b96dca3d42ef7822e0d5104127dc05d6dbefde69e3ab2cec7c867c6e2c49
+ 1 666f6f
+ 616263
+ c32299d46ec8ff02b54540982814dce9a05812f81962b649d528095916a2aa481065b1580423ef927ecf0af5888f90da0f6a9a85ad5dc3f280d91224ba9911a3653d00e484e2ce232521481c8658df304bb7745a73514cdb9bf3e15784ab71284f8d0704a608c54a6b62d97beb511d132100;
+}
~mdw / catacomb / commitdiff