diff options
Diffstat (limited to 'libotr/libgcrypt-1.8.7/tests/t-mpi-point.c')
| -rw-r--r-- | libotr/libgcrypt-1.8.7/tests/t-mpi-point.c | 1324 |
1 files changed, 1324 insertions, 0 deletions
diff --git a/libotr/libgcrypt-1.8.7/tests/t-mpi-point.c b/libotr/libgcrypt-1.8.7/tests/t-mpi-point.c new file mode 100644 index 0000000..1326749 --- /dev/null +++ b/libotr/libgcrypt-1.8.7/tests/t-mpi-point.c @@ -0,0 +1,1324 @@ +/* t-mpi-point.c - Tests for mpi point functions + * Copyright (C) 2013 g10 Code GmbH + * + * This file is part of Libgcrypt. + * + * Libgcrypt is free software; you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License as + * published by the Free Software Foundation; either version 2.1 of + * the License, or (at your option) any later version. + * + * Libgcrypt 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 Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this program; if not, see <http://www.gnu.org/licenses/>. + */ + +#ifdef HAVE_CONFIG_H +# include <config.h> +#endif +#include <stdio.h> +#include <stdlib.h> +#include <string.h> +#include <assert.h> +#include <stdarg.h> + +#define PGM "t-mpi-point" +#include "t-common.h" + +static struct +{ + const char *desc; /* Description of the curve. */ + const char *p; /* Order of the prime field. */ + const char *a, *b; /* The coefficients. */ + const char *n; /* The order of the base point. */ + const char *g_x, *g_y; /* Base point. */ + const char *h; /* Cofactor. */ +} test_curve[] = + { + { + "NIST P-192", + "0xfffffffffffffffffffffffffffffffeffffffffffffffff", + "0xfffffffffffffffffffffffffffffffefffffffffffffffc", + "0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1", + "0xffffffffffffffffffffffff99def836146bc9b1b4d22831", + + "0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012", + "0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811", + "0x01" + }, + { + "NIST P-224", + "0xffffffffffffffffffffffffffffffff000000000000000000000001", + "0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe", + "0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4", + "0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d" , + + "0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21", + "0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34", + "0x01" + }, + { + "NIST P-256", + "0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff", + "0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc", + "0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", + "0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", + + "0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", + "0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", + "0x01" + }, + { + "NIST P-384", + "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe" + "ffffffff0000000000000000ffffffff", + "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe" + "ffffffff0000000000000000fffffffc", + "0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875a" + "c656398d8a2ed19d2a85c8edd3ec2aef", + "0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf" + "581a0db248b0a77aecec196accc52973", + + "0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a38" + "5502f25dbf55296c3a545e3872760ab7", + "0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c0" + "0a60b1ce1d7e819d7a431d7c90ea0e5f", + "0x01" + }, + { + "NIST P-521", + "0x01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + "0x01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", + "0x051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef10" + "9e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", + "0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" + "ffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", + + "0xc6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3d" + "baa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", + "0x11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e6" + "62c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", + "0x01" + }, + { + "Ed25519", + "0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFED", + "0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEC", + "0x52036CEE2B6FFE738CC740797779E89800700A4D4141D8AB75EB4DCA135978A3", + "0x1000000000000000000000000000000014DEF9DEA2F79CD65812631A5CF5D3ED", + "0x216936D3CD6E53FEC0A4E231FDD6DC5C692CC7609525A7B2C9562D608F25D51A", + "0x6666666666666666666666666666666666666666666666666666666666666658", + "0x08" + }, + { NULL, NULL, NULL, NULL, NULL, NULL } + }; + +/* A sample public key for NIST P-256. */ +static const char sample_p256_q[] = + "04" + "42B927242237639A36CE9221B340DB1A9AB76DF2FE3E171277F6A4023DED146E" + "E86525E38CCECFF3FB8D152CC6334F70D23A525175C1BCBDDE6E023B2228770E"; +static const char sample_p256_q_x[] = + "42B927242237639A36CE9221B340DB1A9AB76DF2FE3E171277F6A4023DED146E"; +static const char sample_p256_q_y[] = + "00E86525E38CCECFF3FB8D152CC6334F70D23A525175C1BCBDDE6E023B2228770E"; + + +/* A sample public key for Ed25519. */ +static const char sample_ed25519_q[] = + "04" + "55d0e09a2b9d34292297e08d60d0f620c513d47253187c24b12786bd777645ce" + "1a5107f7681a02af2523a6daf372e10e3a0764c9d3fe4bd5b70ab18201985ad7"; +static const char sample_ed25519_q_x[] = + "55d0e09a2b9d34292297e08d60d0f620c513d47253187c24b12786bd777645ce"; +static const char sample_ed25519_q_y[] = + "1a5107f7681a02af2523a6daf372e10e3a0764c9d3fe4bd5b70ab18201985ad7"; +static const char sample_ed25519_q_eddsa[] = + "d75a980182b10ab7d54bfed3c964073a0ee172f3daa62325af021a68f707511a"; +static const char sample_ed25519_d[] = + "9d61b19deffd5a60ba844af492ec2cc44449c5697b326919703bac031cae7f60"; + + +static void +print_mpi_2 (const char *text, const char *text2, gcry_mpi_t a) +{ + gcry_error_t err; + char *buf; + void *bufaddr = &buf; + + err = gcry_mpi_aprint (GCRYMPI_FMT_HEX, bufaddr, NULL, a); + if (err) + fprintf (stderr, "%s%s: [error printing number: %s]\n", + text, text2? text2:"", gpg_strerror (err)); + else + { + fprintf (stderr, "%s%s: %s\n", text, text2? text2:"", buf); + gcry_free (buf); + } +} + + +static void +print_mpi (const char *text, gcry_mpi_t a) +{ + print_mpi_2 (text, NULL, a); +} + + +static void +print_point (const char *text, gcry_mpi_point_t a) +{ + gcry_mpi_t x, y, z; + + x = gcry_mpi_new (0); + y = gcry_mpi_new (0); + z = gcry_mpi_new (0); + gcry_mpi_point_get (x, y, z, a); + print_mpi_2 (text, ".x", x); + print_mpi_2 (text, ".y", y); + print_mpi_2 (text, ".z", z); + gcry_mpi_release (x); + gcry_mpi_release (y); + gcry_mpi_release (z); +} + + +static void +print_sexp (const char *prefix, gcry_sexp_t a) +{ + char *buf; + size_t size; + + if (prefix) + fputs (prefix, stderr); + size = gcry_sexp_sprint (a, GCRYSEXP_FMT_ADVANCED, NULL, 0); + buf = gcry_xmalloc (size); + + gcry_sexp_sprint (a, GCRYSEXP_FMT_ADVANCED, buf, size); + fprintf (stderr, "%.*s", (int)size, buf); + gcry_free (buf); +} + + +static gcry_mpi_t +hex2mpi (const char *string) +{ + gpg_error_t err; + gcry_mpi_t val; + + err = gcry_mpi_scan (&val, GCRYMPI_FMT_HEX, string, 0, NULL); + if (err) + die ("hex2mpi '%s' failed: %s\n", string, gpg_strerror (err)); + return val; +} + + +/* Convert STRING consisting of hex characters into its binary + representation and return it as an allocated buffer. The valid + length of the buffer is returned at R_LENGTH. The string is + delimited by end of string. The function returns NULL on + error. */ +static void * +hex2buffer (const char *string, size_t *r_length) +{ + const char *s; + unsigned char *buffer; + size_t length; + + buffer = xmalloc (strlen(string)/2+1); + length = 0; + for (s=string; *s; s +=2 ) + { + if (!hexdigitp (s) || !hexdigitp (s+1)) + return NULL; /* Invalid hex digits. */ + ((unsigned char*)buffer)[length++] = xtoi_2 (s); + } + *r_length = length; + return buffer; +} + + +static gcry_mpi_t +hex2mpiopa (const char *string) +{ + char *buffer; + size_t buflen; + gcry_mpi_t val; + + buffer = hex2buffer (string, &buflen); + if (!buffer) + die ("hex2mpiopa '%s' failed: parser error\n", string); + val = gcry_mpi_set_opaque (NULL, buffer, buflen*8); + if (!buffer) + die ("hex2mpiopa '%s' failed: set_opaque error\n", string); + return val; +} + + +/* Compare A to B, where B is given as a hex string. */ +static int +cmp_mpihex (gcry_mpi_t a, const char *b) +{ + gcry_mpi_t bval; + int res; + + if (gcry_mpi_get_flag (a, GCRYMPI_FLAG_OPAQUE)) + bval = hex2mpiopa (b); + else + bval = hex2mpi (b); + res = gcry_mpi_cmp (a, bval); + gcry_mpi_release (bval); + return res; +} + + +/* Wrapper to emulate the libgcrypt internal EC context allocation + function. */ +static gpg_error_t +ec_p_new (gcry_ctx_t *r_ctx, gcry_mpi_t p, gcry_mpi_t a) +{ + gpg_error_t err; + gcry_sexp_t sexp; + + if (p && a) + err = gcry_sexp_build (&sexp, NULL, "(ecdsa (p %m)(a %m))", p, a); + else if (p) + err = gcry_sexp_build (&sexp, NULL, "(ecdsa (p %m))", p); + else if (a) + err = gcry_sexp_build (&sexp, NULL, "(ecdsa (a %m))", a); + else + err = gcry_sexp_build (&sexp, NULL, "(ecdsa)"); + if (err) + return err; + err = gcry_mpi_ec_new (r_ctx, sexp, NULL); + gcry_sexp_release (sexp); + return err; +} + + + +static void +set_get_point (void) +{ + gcry_mpi_point_t point, point2; + gcry_mpi_t x, y, z; + + wherestr = "set_get_point"; + info ("checking point setting functions\n"); + + point = gcry_mpi_point_new (0); + x = gcry_mpi_set_ui (NULL, 17); + y = gcry_mpi_set_ui (NULL, 42); + z = gcry_mpi_set_ui (NULL, 11371); + gcry_mpi_point_get (x, y, z, point); + if (gcry_mpi_cmp_ui (x, 0) + || gcry_mpi_cmp_ui (y, 0) || gcry_mpi_cmp_ui (z, 0)) + fail ("new point not initialized to (0,0,0)\n"); + gcry_mpi_point_snatch_get (x, y, z, point); + point = NULL; + if (gcry_mpi_cmp_ui (x, 0) + || gcry_mpi_cmp_ui (y, 0) || gcry_mpi_cmp_ui (z, 0)) + fail ("snatch_get failed\n"); + gcry_mpi_release (x); + gcry_mpi_release (y); + gcry_mpi_release (z); + + point = gcry_mpi_point_new (0); + x = gcry_mpi_set_ui (NULL, 17); + y = gcry_mpi_set_ui (NULL, 42); + z = gcry_mpi_set_ui (NULL, 11371); + gcry_mpi_point_set (point, x, y, z); + gcry_mpi_set_ui (x, 23); + gcry_mpi_set_ui (y, 24); + gcry_mpi_set_ui (z, 25); + gcry_mpi_point_get (x, y, z, point); + if (gcry_mpi_cmp_ui (x, 17) + || gcry_mpi_cmp_ui (y, 42) || gcry_mpi_cmp_ui (z, 11371)) + fail ("point_set/point_get failed\n"); + gcry_mpi_point_snatch_set (point, x, y, z); + x = gcry_mpi_new (0); + y = gcry_mpi_new (0); + z = gcry_mpi_new (0); + gcry_mpi_point_get (x, y, z, point); + if (gcry_mpi_cmp_ui (x, 17) + || gcry_mpi_cmp_ui (y, 42) || gcry_mpi_cmp_ui (z, 11371)) + fail ("point_snatch_set/point_get failed\n"); + + point2 = gcry_mpi_point_copy (point); + + gcry_mpi_point_get (x, y, z, point2); + if (gcry_mpi_cmp_ui (x, 17) + || gcry_mpi_cmp_ui (y, 42) || gcry_mpi_cmp_ui (z, 11371)) + fail ("point_copy failed (1)\n"); + + gcry_mpi_point_release (point); + + gcry_mpi_point_get (x, y, z, point2); + if (gcry_mpi_cmp_ui (x, 17) + || gcry_mpi_cmp_ui (y, 42) || gcry_mpi_cmp_ui (z, 11371)) + fail ("point_copy failed (2)\n"); + + gcry_mpi_point_release (point2); + + gcry_mpi_release (x); + gcry_mpi_release (y); + gcry_mpi_release (z); +} + + +static void +context_alloc (void) +{ + gpg_error_t err; + gcry_ctx_t ctx; + gcry_mpi_t p, a; + + wherestr = "context_alloc"; + info ("checking context functions\n"); + + p = gcry_mpi_set_ui (NULL, 1); + a = gcry_mpi_set_ui (NULL, 1); + err = ec_p_new (&ctx, p, a); + if (err) + die ("ec_p_new returned an error: %s\n", gpg_strerror (err)); + gcry_mpi_release (p); + gcry_mpi_release (a); + gcry_ctx_release (ctx); + + p = NULL; + a = gcry_mpi_set_ui (NULL, 0); + + err = ec_p_new (&ctx, p, a); + if (!err || gpg_err_code (err) != GPG_ERR_EINVAL) + fail ("ec_p_new: bad parameter detection failed (1)\n"); + + gcry_mpi_release (a); + a = NULL; + err = ec_p_new (&ctx, p, a); + if (!err || gpg_err_code (err) != GPG_ERR_EINVAL) + fail ("ec_p_new: bad parameter detection failed (2)\n"); + +} + + +static int +get_and_cmp_mpi (const char *name, const char *mpistring, const char *desc, + gcry_ctx_t ctx) +{ + gcry_mpi_t mpi; + + mpi = gcry_mpi_ec_get_mpi (name, ctx, 1); + if (!mpi) + { + fail ("error getting parameter '%s' of curve '%s'\n", name, desc); + return 1; + } + if (debug) + print_mpi (name, mpi); + if (cmp_mpihex (mpi, mpistring)) + { + fail ("parameter '%s' of curve '%s' does not match\n", name, desc); + gcry_mpi_release (mpi); + return 1; + } + gcry_mpi_release (mpi); + return 0; +} + + +static int +get_and_cmp_point (const char *name, + const char *mpi_x_string, const char *mpi_y_string, + const char *desc, gcry_ctx_t ctx) +{ + gcry_mpi_point_t point; + gcry_mpi_t x, y, z; + int result = 0; + + point = gcry_mpi_ec_get_point (name, ctx, 1); + if (!point) + { + fail ("error getting point parameter '%s' of curve '%s'\n", name, desc); + return 1; + } + if (debug) + print_point (name, point); + + x = gcry_mpi_new (0); + y = gcry_mpi_new (0); + z = gcry_mpi_new (0); + gcry_mpi_point_snatch_get (x, y, z, point); + if (cmp_mpihex (x, mpi_x_string)) + { + fail ("x coordinate of '%s' of curve '%s' does not match\n", name, desc); + result = 1; + } + if (cmp_mpihex (y, mpi_y_string)) + { + fail ("y coordinate of '%s' of curve '%s' does not match\n", name, desc); + result = 1; + } + if (cmp_mpihex (z, "01")) + { + fail ("z coordinate of '%s' of curve '%s' is not 1\n", name, desc); + result = 1; + } + gcry_mpi_release (x); + gcry_mpi_release (y); + gcry_mpi_release (z); + return result; +} + + +static void +context_param (void) +{ + gpg_error_t err; + int idx; + gcry_ctx_t ctx = NULL; + gcry_mpi_t q, d; + gcry_sexp_t keyparam; + + wherestr = "context_param"; + + info ("checking standard curves\n"); + for (idx=0; test_curve[idx].desc; idx++) + { + /* P-192 and Ed25519 are not supported in fips mode */ + if (gcry_fips_mode_active()) + { + if (!strcmp(test_curve[idx].desc, "NIST P-192") + || !strcmp(test_curve[idx].desc, "Ed25519")) + { + info ("skipping %s in fips mode\n", test_curve[idx].desc ); + continue; + } + } + + gcry_ctx_release (ctx); + err = gcry_mpi_ec_new (&ctx, NULL, test_curve[idx].desc); + if (err) + { + fail ("can't create context for curve '%s': %s\n", + test_curve[idx].desc, gpg_strerror (err)); + continue; + } + if (get_and_cmp_mpi ("p", test_curve[idx].p, test_curve[idx].desc, ctx)) + continue; + if (get_and_cmp_mpi ("a", test_curve[idx].a, test_curve[idx].desc, ctx)) + continue; + if (get_and_cmp_mpi ("b", test_curve[idx].b, test_curve[idx].desc, ctx)) + continue; + if (get_and_cmp_mpi ("g.x",test_curve[idx].g_x, test_curve[idx].desc,ctx)) + continue; + if (get_and_cmp_mpi ("g.y",test_curve[idx].g_y, test_curve[idx].desc,ctx)) + continue; + if (get_and_cmp_mpi ("n", test_curve[idx].n, test_curve[idx].desc, ctx)) + continue; + if (get_and_cmp_point ("g", test_curve[idx].g_x, test_curve[idx].g_y, + test_curve[idx].desc, ctx)) + continue; + if (get_and_cmp_mpi ("h", test_curve[idx].h, test_curve[idx].desc, ctx)) + continue; + + } + + info ("checking sample public key (nistp256)\n"); + q = hex2mpi (sample_p256_q); + err = gcry_sexp_build (&keyparam, NULL, + "(public-key(ecc(curve %s)(q %m)))", + "NIST P-256", q); + if (err) + die ("gcry_sexp_build failed: %s\n", gpg_strerror (err)); + gcry_mpi_release (q); + + /* We can't call gcry_pk_testkey because it is only implemented for + private keys. */ + /* err = gcry_pk_testkey (keyparam); */ + /* if (err) */ + /* fail ("gcry_pk_testkey failed for sample public key: %s\n", */ + /* gpg_strerror (err)); */ + + gcry_ctx_release (ctx); + err = gcry_mpi_ec_new (&ctx, keyparam, NULL); + if (err) + fail ("gcry_mpi_ec_new failed for sample public key (nistp256): %s\n", + gpg_strerror (err)); + else + { + gcry_sexp_t sexp; + + get_and_cmp_mpi ("q", sample_p256_q, "nistp256", ctx); + get_and_cmp_point ("q", sample_p256_q_x, sample_p256_q_y, "nistp256", + ctx); + + /* Delete Q. */ + err = gcry_mpi_ec_set_mpi ("q", NULL, ctx); + if (err) + fail ("clearing Q for nistp256 failed: %s\n", gpg_strerror (err)); + if (gcry_mpi_ec_get_mpi ("q", ctx, 0)) + fail ("clearing Q for nistp256 did not work\n"); + + /* Set Q again. */ + q = hex2mpi (sample_p256_q); + err = gcry_mpi_ec_set_mpi ("q", q, ctx); + if (err) + fail ("setting Q for nistp256 failed: %s\n", gpg_strerror (err)); + get_and_cmp_mpi ("q", sample_p256_q, "nistp256(2)", ctx); + gcry_mpi_release (q); + + /* Get as s-expression. */ + err = gcry_pubkey_get_sexp (&sexp, 0, ctx); + if (err) + fail ("gcry_pubkey_get_sexp(0) failed: %s\n", gpg_strerror (err)); + else if (debug) + print_sexp ("Result of gcry_pubkey_get_sexp (0):\n", sexp); + gcry_sexp_release (sexp); + + err = gcry_pubkey_get_sexp (&sexp, GCRY_PK_GET_PUBKEY, ctx); + if (err) + fail ("gcry_pubkey_get_sexp(GET_PUBKEY) failed: %s\n", + gpg_strerror (err)); + else if (debug) + print_sexp ("Result of gcry_pubkey_get_sexp (GET_PUBKEY):\n", sexp); + gcry_sexp_release (sexp); + + err = gcry_pubkey_get_sexp (&sexp, GCRY_PK_GET_SECKEY, ctx); + if (gpg_err_code (err) != GPG_ERR_NO_SECKEY) + fail ("gcry_pubkey_get_sexp(GET_SECKEY) returned wrong error: %s\n", + gpg_strerror (err)); + gcry_sexp_release (sexp); + } + + /* Skipping Ed25519 if in FIPS mode (it isn't supported) */ + if (gcry_fips_mode_active()) + goto cleanup; + + info ("checking sample public key (Ed25519)\n"); + q = hex2mpi (sample_ed25519_q); + gcry_sexp_release (keyparam); + err = gcry_sexp_build (&keyparam, NULL, + "(public-key(ecc(curve %s)(flags eddsa)(q %m)))", + "Ed25519", q); + if (err) + die ("gcry_sexp_build failed: %s\n", gpg_strerror (err)); + gcry_mpi_release (q); + + /* We can't call gcry_pk_testkey because it is only implemented for + private keys. */ + /* err = gcry_pk_testkey (keyparam); */ + /* if (err) */ + /* fail ("gcry_pk_testkey failed for sample public key: %s\n", */ + /* gpg_strerror (err)); */ + + gcry_ctx_release (ctx); + err = gcry_mpi_ec_new (&ctx, keyparam, NULL); + if (err) + fail ("gcry_mpi_ec_new failed for sample public key: %s\n", + gpg_strerror (err)); + else + { + gcry_sexp_t sexp; + + get_and_cmp_mpi ("q", sample_ed25519_q, "Ed25519", ctx); + get_and_cmp_point ("q", sample_ed25519_q_x, sample_ed25519_q_y, + "Ed25519", ctx); + get_and_cmp_mpi ("q@eddsa", sample_ed25519_q_eddsa, "Ed25519", ctx); + + /* Set d to see whether Q is correctly re-computed. */ + d = hex2mpi (sample_ed25519_d); + err = gcry_mpi_ec_set_mpi ("d", d, ctx); + if (err) + fail ("setting d for Ed25519 failed: %s\n", gpg_strerror (err)); + gcry_mpi_release (d); + get_and_cmp_mpi ("q", sample_ed25519_q, "Ed25519(recompute Q)", ctx); + + /* Delete Q by setting d and then clearing d. The clearing is + required so that we can check whether Q has been cleared and + because further tests only expect a public key. */ + d = hex2mpi (sample_ed25519_d); + err = gcry_mpi_ec_set_mpi ("d", d, ctx); + if (err) + fail ("setting d for Ed25519 failed: %s\n", gpg_strerror (err)); + gcry_mpi_release (d); + err = gcry_mpi_ec_set_mpi ("d", NULL, ctx); + if (err) + fail ("setting d for Ed25519 failed(2): %s\n", gpg_strerror (err)); + if (gcry_mpi_ec_get_mpi ("q", ctx, 0)) + fail ("setting d for Ed25519 did not reset Q\n"); + + /* Set Q again. We need to use an opaque MPI here because + sample_ed25519_q is in uncompressed format which can only be + auto-detected if passed opaque. */ + q = hex2mpiopa (sample_ed25519_q); + err = gcry_mpi_ec_set_mpi ("q", q, ctx); + if (err) + fail ("setting Q for Ed25519 failed: %s\n", gpg_strerror (err)); + gcry_mpi_release (q); + get_and_cmp_mpi ("q", sample_ed25519_q, "Ed25519(2)", ctx); + + /* Get as s-expression. */ + err = gcry_pubkey_get_sexp (&sexp, 0, ctx); + if (err) + fail ("gcry_pubkey_get_sexp(0) failed: %s\n", gpg_strerror (err)); + else if (debug) + print_sexp ("Result of gcry_pubkey_get_sexp (0):\n", sexp); + gcry_sexp_release (sexp); + + err = gcry_pubkey_get_sexp (&sexp, GCRY_PK_GET_PUBKEY, ctx); + if (err) + fail ("gcry_pubkey_get_sexp(GET_PUBKEY) failed: %s\n", + gpg_strerror (err)); + else if (debug) + print_sexp ("Result of gcry_pubkey_get_sexp (GET_PUBKEY):\n", sexp); + gcry_sexp_release (sexp); + + err = gcry_pubkey_get_sexp (&sexp, GCRY_PK_GET_SECKEY, ctx); + if (gpg_err_code (err) != GPG_ERR_NO_SECKEY) + fail ("gcry_pubkey_get_sexp(GET_SECKEY) returned wrong error: %s\n", + gpg_strerror (err)); + gcry_sexp_release (sexp); + + } + + cleanup: + gcry_ctx_release (ctx); + gcry_sexp_release (keyparam); +} + + + + +/* Create a new point from (X,Y,Z) given as hex strings. */ +gcry_mpi_point_t +make_point (const char *x, const char *y, const char *z) +{ + gcry_mpi_point_t point; + + point = gcry_mpi_point_new (0); + gcry_mpi_point_snatch_set (point, hex2mpi (x), hex2mpi (y), hex2mpi (z)); + + return point; +} + + +/* This tests checks that the low-level EC API yields the same result + as using the high level API. The values have been taken from a + test run using the high level API. */ +static void +basic_ec_math (void) +{ + gpg_error_t err; + gcry_ctx_t ctx; + gcry_mpi_t P, A; + gcry_mpi_point_t G, Q; + gcry_mpi_t d; + gcry_mpi_t x, y, z; + + wherestr = "basic_ec_math"; + info ("checking basic math functions for EC\n"); + + P = hex2mpi ("0xfffffffffffffffffffffffffffffffeffffffffffffffff"); + A = hex2mpi ("0xfffffffffffffffffffffffffffffffefffffffffffffffc"); + G = make_point ("188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012", + "7192B95FFC8DA78631011ED6B24CDD573F977A11E794811", + "1"); + d = hex2mpi ("D4EF27E32F8AD8E2A1C6DDEBB1D235A69E3CEF9BCE90273D"); + Q = gcry_mpi_point_new (0); + + err = ec_p_new (&ctx, P, A); + if (err) + die ("ec_p_new failed: %s\n", gpg_strerror (err)); + + x = gcry_mpi_new (0); + y = gcry_mpi_new (0); + z = gcry_mpi_new (0); + + { + /* A quick check that multiply by zero works. */ + gcry_mpi_t tmp; + + tmp = gcry_mpi_new (0); + gcry_mpi_ec_mul (Q, tmp, G, ctx); + gcry_mpi_release (tmp); + gcry_mpi_point_get (x, y, z, Q); + if (gcry_mpi_cmp_ui (z, 0)) + fail ("multiply a point by zero failed\n"); + } + + gcry_mpi_ec_mul (Q, d, G, ctx); + + if (gcry_mpi_ec_get_affine (x, y, Q, ctx)) + fail ("failed to get affine coordinates\n"); + if (cmp_mpihex (x, "008532093BA023F4D55C0424FA3AF9367E05F309DC34CDC3FE") + || cmp_mpihex (y, "00C13CA9E617C6C8487BFF6A726E3C4F277913D97117939966")) + fail ("computed affine coordinates of public key do not match\n"); + if (debug) + { + print_mpi ("q.x", x); + print_mpi ("q.y", y); + } + + gcry_mpi_release (z); + gcry_mpi_release (y); + gcry_mpi_release (x); + gcry_mpi_point_release (Q); + gcry_mpi_release (d); + gcry_mpi_point_release (G); + gcry_mpi_release (A); + gcry_mpi_release (P); + gcry_ctx_release (ctx); +} + + +/* This is the same as basic_ec_math but uses more advanced + features. */ +static void +basic_ec_math_simplified (void) +{ + gpg_error_t err; + gcry_ctx_t ctx; + gcry_mpi_point_t G, Q; + gcry_mpi_t d; + gcry_mpi_t x, y, z; + gcry_sexp_t sexp; + + wherestr = "basic_ec_math_simplified"; + info ("checking basic math functions for EC (variant)\n"); + + d = hex2mpi ("D4EF27E32F8AD8E2A1C6DDEBB1D235A69E3CEF9BCE90273D"); + Q = gcry_mpi_point_new (0); + + err = gcry_mpi_ec_new (&ctx, NULL, "NIST P-192"); + if (err) + die ("gcry_mpi_ec_new failed: %s\n", gpg_strerror (err)); + G = gcry_mpi_ec_get_point ("g", ctx, 1); + if (!G) + die ("gcry_mpi_ec_get_point(G) failed\n"); + gcry_mpi_ec_mul (Q, d, G, ctx); + + x = gcry_mpi_new (0); + y = gcry_mpi_new (0); + z = gcry_mpi_new (0); + + if (gcry_mpi_ec_get_affine (x, y, Q, ctx)) + fail ("failed to get affine coordinates\n"); + if (cmp_mpihex (x, "008532093BA023F4D55C0424FA3AF9367E05F309DC34CDC3FE") + || cmp_mpihex (y, "00C13CA9E617C6C8487BFF6A726E3C4F277913D97117939966")) + fail ("computed affine coordinates of public key do not match\n"); + if (debug) + { + print_mpi ("q.x", x); + print_mpi ("q.y", y); + } + + gcry_mpi_release (z); + gcry_mpi_release (y); + gcry_mpi_release (x); + + /* Let us also check whether we can update the context. */ + err = gcry_mpi_ec_set_point ("g", G, ctx); + if (err) + die ("gcry_mpi_ec_set_point(G) failed\n"); + err = gcry_mpi_ec_set_mpi ("d", d, ctx); + if (err) + die ("gcry_mpi_ec_set_mpi(d) failed\n"); + + /* FIXME: Below we need to check that the returned S-expression is + as requested. For now we use manual inspection using --debug. */ + + /* Does get_sexp return the private key? */ + err = gcry_pubkey_get_sexp (&sexp, 0, ctx); + if (err) + fail ("gcry_pubkey_get_sexp(0) failed: %s\n", gpg_strerror (err)); + else if (debug) + print_sexp ("Result of gcry_pubkey_get_sexp (0):\n", sexp); + gcry_sexp_release (sexp); + + /* Does get_sexp return the public key if requested? */ + err = gcry_pubkey_get_sexp (&sexp, GCRY_PK_GET_PUBKEY, ctx); + if (err) + fail ("gcry_pubkey_get_sexp(GET_PUBKEY) failed: %s\n", gpg_strerror (err)); + else if (debug) + print_sexp ("Result of gcry_pubkey_get_sexp (GET_PUBKEY):\n", sexp); + gcry_sexp_release (sexp); + + /* Does get_sexp return the public key after d has been deleted? */ + err = gcry_mpi_ec_set_mpi ("d", NULL, ctx); + if (err) + die ("gcry_mpi_ec_set_mpi(d=NULL) failed\n"); + err = gcry_pubkey_get_sexp (&sexp, 0, ctx); + if (err) + fail ("gcry_pubkey_get_sexp(0 w/o d) failed: %s\n", gpg_strerror (err)); + else if (debug) + print_sexp ("Result of gcry_pubkey_get_sexp (0 w/o d):\n", sexp); + gcry_sexp_release (sexp); + + /* Does get_sexp return an error after d has been deleted? */ + err = gcry_pubkey_get_sexp (&sexp, GCRY_PK_GET_SECKEY, ctx); + if (gpg_err_code (err) != GPG_ERR_NO_SECKEY) + fail ("gcry_pubkey_get_sexp(GET_SECKEY) returned wrong error: %s\n", + gpg_strerror (err)); + gcry_sexp_release (sexp); + + /* Does get_sexp return an error after d and Q have been deleted? */ + err = gcry_mpi_ec_set_point ("q", NULL, ctx); + if (err) + die ("gcry_mpi_ec_set_point(q=NULL) failed\n"); + err = gcry_pubkey_get_sexp (&sexp, 0, ctx); + if (gpg_err_code (err) != GPG_ERR_BAD_CRYPT_CTX) + fail ("gcry_pubkey_get_sexp(0 w/o Q,d) returned wrong error: %s\n", + gpg_strerror (err)); + gcry_sexp_release (sexp); + + + gcry_mpi_point_release (Q); + gcry_mpi_release (d); + gcry_mpi_point_release (G); + gcry_ctx_release (ctx); +} + + +/* Check the math used with Twisted Edwards curves. */ +static void +twistededwards_math (void) +{ + gpg_error_t err; + gcry_ctx_t ctx; + gcry_mpi_point_t G, Q; + gcry_mpi_t k; + gcry_mpi_t w, a, x, y, z, p, n, b, I; + + wherestr = "twistededwards_math"; + info ("checking basic Twisted Edwards math\n"); + + err = gcry_mpi_ec_new (&ctx, NULL, "Ed25519"); + if (err) + die ("gcry_mpi_ec_new failed: %s\n", gpg_strerror (err)); + + k = hex2mpi + ("2D3501E723239632802454EE5DDC406EFB0BDF18486A5BDE9C0390A9C2984004" + "F47252B628C953625B8DEB5DBCB8DA97AA43A1892D11FA83596F42E0D89CB1B6"); + G = gcry_mpi_ec_get_point ("g", ctx, 1); + if (!G) + die ("gcry_mpi_ec_get_point(G) failed\n"); + Q = gcry_mpi_point_new (0); + + + w = gcry_mpi_new (0); + a = gcry_mpi_new (0); + x = gcry_mpi_new (0); + y = gcry_mpi_new (0); + z = gcry_mpi_new (0); + I = gcry_mpi_new (0); + p = gcry_mpi_ec_get_mpi ("p", ctx, 1); + n = gcry_mpi_ec_get_mpi ("n", ctx, 1); + b = gcry_mpi_ec_get_mpi ("b", ctx, 1); + + /* Check: 2^{p-1} mod p == 1 */ + gcry_mpi_sub_ui (a, p, 1); + gcry_mpi_powm (w, GCRYMPI_CONST_TWO, a, p); + if (gcry_mpi_cmp_ui (w, 1)) + fail ("failed assertion: 2^{p-1} mod p == 1\n"); + + /* Check: p % 4 == 1 */ + gcry_mpi_mod (w, p, GCRYMPI_CONST_FOUR); + if (gcry_mpi_cmp_ui (w, 1)) + fail ("failed assertion: p %% 4 == 1\n"); + + /* Check: 2^{n-1} mod n == 1 */ + gcry_mpi_sub_ui (a, n, 1); + gcry_mpi_powm (w, GCRYMPI_CONST_TWO, a, n); + if (gcry_mpi_cmp_ui (w, 1)) + fail ("failed assertion: 2^{n-1} mod n == 1\n"); + + /* Check: b^{(p-1)/2} mod p == p-1 */ + gcry_mpi_sub_ui (a, p, 1); + gcry_mpi_div (x, NULL, a, GCRYMPI_CONST_TWO, -1); + gcry_mpi_powm (w, b, x, p); + gcry_mpi_abs (w); + if (gcry_mpi_cmp (w, a)) + fail ("failed assertion: b^{(p-1)/2} mod p == p-1\n"); + + /* I := 2^{(p-1)/4} mod p */ + gcry_mpi_sub_ui (a, p, 1); + gcry_mpi_div (x, NULL, a, GCRYMPI_CONST_FOUR, -1); + gcry_mpi_powm (I, GCRYMPI_CONST_TWO, x, p); + + /* Check: I^2 mod p == p-1 */ + gcry_mpi_powm (w, I, GCRYMPI_CONST_TWO, p); + if (gcry_mpi_cmp (w, a)) + fail ("failed assertion: I^2 mod p == p-1\n"); + + /* Check: G is on the curve */ + if (!gcry_mpi_ec_curve_point (G, ctx)) + fail ("failed assertion: G is on the curve\n"); + + /* Check: nG == (0,1) */ + gcry_mpi_ec_mul (Q, n, G, ctx); + if (gcry_mpi_ec_get_affine (x, y, Q, ctx)) + fail ("failed to get affine coordinates\n"); + if (gcry_mpi_cmp_ui (x, 0) || gcry_mpi_cmp_ui (y, 1)) + fail ("failed assertion: nG == (0,1)\n"); + + /* Now two arbitrary point operations taken from the ed25519.py + sample data. */ + gcry_mpi_release (a); + a = hex2mpi + ("4f71d012df3c371af3ea4dc38385ca5bb7272f90cb1b008b3ed601c76de1d496" + "e30cbf625f0a756a678d8f256d5325595cccc83466f36db18f0178eb9925edd3"); + gcry_mpi_ec_mul (Q, a, G, ctx); + if (gcry_mpi_ec_get_affine (x, y, Q, ctx)) + fail ("failed to get affine coordinates\n"); + if (cmp_mpihex (x, ("157f7361c577aad36f67ed33e38dc7be" + "00014fecc2165ca5cee9eee19fe4d2c1")) + || cmp_mpihex (y, ("5a69dbeb232276b38f3f5016547bb2a2" + "4025645f0b820e72b8cad4f0a909a092"))) + { + fail ("sample point multiply failed:\n"); + print_mpi ("r", a); + print_mpi ("Rx", x); + print_mpi ("Ry", y); + } + + gcry_mpi_release (a); + a = hex2mpi + ("2d3501e723239632802454ee5ddc406efb0bdf18486a5bde9c0390a9c2984004" + "f47252b628c953625b8deb5dbcb8da97aa43a1892d11fa83596f42e0d89cb1b6"); + gcry_mpi_ec_mul (Q, a, G, ctx); + if (gcry_mpi_ec_get_affine (x, y, Q, ctx)) + fail ("failed to get affine coordinates\n"); + if (cmp_mpihex (x, ("6218e309d40065fcc338b3127f468371" + "82324bd01ce6f3cf81ab44e62959c82a")) + || cmp_mpihex (y, ("5501492265e073d874d9e5b81e7f8784" + "8a826e80cce2869072ac60c3004356e5"))) + { + fail ("sample point multiply failed:\n"); + print_mpi ("r", a); + print_mpi ("Rx", x); + print_mpi ("Ry", y); + } + + + gcry_mpi_release (I); + gcry_mpi_release (b); + gcry_mpi_release (n); + gcry_mpi_release (p); + gcry_mpi_release (w); + gcry_mpi_release (a); + gcry_mpi_release (x); + gcry_mpi_release (y); + gcry_mpi_release (z); + gcry_mpi_point_release (Q); + gcry_mpi_point_release (G); + gcry_mpi_release (k); + gcry_ctx_release (ctx); +} + + +/* Check the point on curve function. */ +static void +point_on_curve (void) +{ + static struct { + const char *curve; + int oncurve; /* Point below is on the curve. */ + const char *qx; + const char *qy; + } t[] = { + { + "NIST P-256", 0, + "015B4F6775D68D4D2E2192C6B8027FC5A3D49957E453CB251155AA3FF5D3EC9974", + "4BC4C87B57A25E1056831208AB5B8F091142F891E9FF19F1E090B030DF1087B3" + }, { + "NIST P-256", 0, + "D22C316E7EBE7B293BD66808E000806F0754398A5D72A4F9BBC21C26EAC0A651", + "3C8DB80CC3CDE5E530D040536E6A58AAB41C33FA70B30896943513FF3690132D" + }, { + "NIST P-256", 0, + "0130F7E7BC52854CA493A0DE87DC4AB3B4343758F2B634F15B10D70DBC0A5A5291", + "86F9CA73C25CE86D54CB21C181AECBB52A5971334FF5040F76CAE9845ED46023" + }, { + "NIST P-256", 1, + "14957B602C7849F28858C7407696F014BC091D6D68C449560B7A38147D6E6A9B", + "A8E09EFEECFE00C797A0848F38B61992D30C61FAB13021E88C8BD3545B3A6C63" + }, { + "NIST P-256", 0, + "923DE4957241DD97780841C76294DB0D4F5DC04C3045081174764D2D32AD2D53", + "01B4B1A2027C02F0F520A3B01E4CE3C668BF481346A74499C5D1044A53E210B600" + }, { + "NIST P-256", 1, + "9021DFAB8B4DAEAADA634AAA26D6E5FFDF8C0476FF5CA31606C870A1B933FB36", + "9AFC65EEB24E46C7B75712EF29A981CB09FAC56E2B81D3ED024748CCAB1CB77E" + }, { + "NIST P-256", 0, + "011529F0B26DE5E0EB2DA4BFB6C149C802CB52EE479DD666553286928A4005E990", + "0EBC63DB2104884456DC0AA81A3F4E99D93B7AE2CD4B1489655EA9BE6289CF9E" + }, { + "NIST P-256", 1, + "216EC5DE8CA989199D31F0DFCD381DCC9270A0785365EC3E34CA347C070A87BE", + "87A88897BA763509ECC1DBE28D9D37F6F4E70E3B99B1CD3C0B934D4190968A6D" + }, { + "NIST P-256", 1, + "7ABAA44ACBC6016FDB52A6F45F6178E65CBFC35F9920D99149CA9999612CE945", + "88F7684BDCDA31EAFB6CAD859F8AB29B5D921D7DB2B34DF7E40CE36235F45B63" + }, { + "NIST P-256", 0, + "E765B4272D211DD0064189B55421FB76BB3A7756364A6CB1627FAED848157A84", + "C13171CFFB243E06B203F0996BBDD16F52292AD11F2DA81106E9C2FD87F4FA0F" + }, { + "NIST P-256", 0, + "EE4999DFC3A1871EE7A592BE26A09BEC9D9B561613EE9EFB6ED42F17985C9CDC", + "8399E967338A7A618336AF70DA67D9CAC1C19267809652F5C5183C8B129E0902" + }, { + "NIST P-256", 0, + "F755D0CF2642A2C7FBACCC8E9E442B8B047A99C6E052B2FA5AB0544B36B4D51C", + "AA080F17657B6565D9A4D94BD260B54D92FEE8DC4A78C4FC9C19209933AF39B0" + } , { + "NIST P-384", 0, + "CBFC7DBEBF15BEAD682549757F9BBA0E3F67669DF13FCE0EBE8024B725B38B00" + "83EC46A8F2FF3203C5C7F8C7E722A5EF", + "0548FE281BEAB18FD1AB86F59B0CA524479A4A81373C83B78AFFD801FAC75922" + "96470753DCF46173C9AA4A8A4C2FBE51" + }, { + "NIST P-384", 0, + "1DC8E054A883DB81EAEDE6C487B26816C927B8196780525A6CA8F675D2557752" + "02CE06CCBE705EA8A38AA2894D4BEEE6", + "010191050E867AFAA96A199FE9C591CF8B853D81486786DA889124881FB39D2F" + "8E0875F4C4BB1E3D0F8535C7A52306FB82" + }, { + "NIST P-384", 1, + "2539FC368CE1D5E464B6C0FBB12D557B712327DB086975255AD7D17F7E7E4F23" + "D719ED4116E2CC907AEB92CF22331A60", + "8843FDBA742CB64323E49CEBE8DD74908CFC9C3AA0015662DFBB7219E92CF32E" + "9FC63F61EF19DE9B3CEA98D163ABF254" + }, { + "NIST P-384", 0, + "0B786DACF400D43575394349EDD9F9CD145FC7EF737A3C5F69B253BE7639DB24" + "EC2F0CA62FF1F90B6515DE356EC2A404", + "225D6B2939CC7F7133F43353946A682C68DAC6BB75EE9CF6BD9A1609FA915692" + "72F4D3A87E88529754E109BB9B61B03B" + }, { + "NIST P-384", 0, + "76C660C9F58CF2051F9F8B06049694AB6FE418009DE6F0A0833BC690CEC06CC2" + "9A440AD51C94CF5BC28817C8C6E2D302", + "012974E5D9E55304ED294AB6C7A3C65B663E67ABC5E6F6C0F6498B519F2F6CA1" + "8306976291F3ADC0B5ABA42DED376EA9A5" + }, { + "NIST P-384", 0, + "23D758B1EDB8E12E9E707C53C131A19D9464B20EE05C99766F5ABDF9F906AD03" + "B958BF28B022E54E320672C4BAD4EEC0", + "01E9E72870C88F4C82A5AB3CC8A3398E8F006BF3EC05FFBB1EFF8AEE88020FEA" + "9E558E9F58ED1D324C9DCBCB4E8F2A5970" + }, { + "NIST P-384", 0, + "D062B96D5A10F715ACF361F99262ABF0F7693A8BB60ECB1DF459CF95750E4293" + "18BCB9FC60499D009F949298F3F9F47B", + "9089C6328E4B39A73D7EE6FAE1A77E48CE354B83BBCE432082C32C8FD6784B86" + "CFE9C552E2E720F5DA5806503D3784CD" + }, { + "NIST P-384", 0, + "2A951D4D6EB35C43D94866280D37365B82441BC84D62CBFF3365CAB1FD0A3E20" + "823CA8F84D2BBF4EA687885437DE7839", + "01CC7D762AFE613F7B5568BC516568A421159C40599E8D52DE10E8F9488931E1" + "69F3656C322DE45C4A70DC6DB9A661E599" + }, { + "NIST P-384", 1, + "A4BAEE6CDAF3AEB69032B3FBA811707C54F5753670DA5173D891547E8CBAEEF3" + "89B92C9A55573A596123415FBFA26991", + "3241EA716583C11C71BB30AF6C5E3A6637956F17ADBBE641BAB52E8539F9FC7B" + "F3B04F46DBFFE08151E0F0950CC70081" + }, { + "NIST P-384", 0, + "5C0E18B0DE3261BCBCFC7B702C2D75CF481336BFBADF420BADC616235C1966AB" + "4C0F876575DDEC1BDB3F3F04061C9AE4", + "E90C78550D1C922F1D8161D8C9C0576E29BD09CA665376FA887D13FA8DF48352" + "D7BBEEFB803F6CC8FC7895E47F348D33" + }, { + "NIST P-384", 1, + "2015864CD50F0A1A50E6401F44191665C19E4AD4B4903EA9EB464E95D1070E36" + "F1D8325E45734D5A0FDD103F4DF6F83E", + "5FB3E9A5C59DD5C5262A8176CB7032A00AE33AED08485884A3E5D68D9EEB990B" + "F26E8D87EC175577E782AD51A6A12C02" + }, { + "NIST P-384", 1, + "56EBF5310EEF5A5D8D001F570A18625383ECD4882B3FC738A69874E7C9D8F89C" + "187BECA23369DFD6C15CC0DA0629958F", + "C1230B349FB662CB762563DB8F9FCB32D5CCA16120681C474D67D279CCA6F6DB" + "73DE6AA96140B5C457B7486E06D318CE" + }, { + "NIST P-521", 0, + "01E4D82EE5CD6DA37080252295EFA273BBBA6952012D0120EAF131E73F1E5024" + "36E3324624471040030E1C345D65490ECEE9B64E03B15B6C7EB69A39C618BAFEED70", + "03EE3A3C88A6933B7B16016BE4CC4E3BF5EA0625CB3DB2604CDCBBD02CABBC90" + "8904D9DB42998F6C5101D4D4318ACFC9643C9CD641F636D1810ED86F1840EA74F3C0" + }, { + "NIST P-521", 0, + "01F3DFCB5433387B6B2E3F74177F4F3D7300F05E1AD49DE112630E27B1C8A437" + "1E742CB020E0039B5477FC897D17332034F9660B3066764EFF5FB440EB8856E782E3", + "02D337616C9D202DC5E290C486F5855CBD6A8470AE62CA96245834CF49257D8D" + "96D4041B15007650DEE668C00DDBF749054256C571F60980AC74D0DBCA7FB96C2F48" + }, { + "NIST P-521", 1, + "822A846606DC9E96452CAC373567A8B57D9ACA15B177F75DD7EF10C635F52CE4" + "EF6ABEEDB90D3F48F50A0C9015A95C955A25C45DE8413DE3BF899B6B1E62CF7CB8", + "0102771B5F3EC8C36838CEC04DCBC28AD1E38C37DAB0EA89B5EE92D21F7A35CE" + "ABC8B155EDC70154D6DFA2E77EC1D8C4A3406A6BD0ECF8F1EE2AC33A02464CB70C97" + }, { + "NIST P-521", 0, + "F733D48467912D1FFE46CF442F27FDD218D190E7B8A829D822DA3B6BAF9B987E" + "5B4BCCE34499248F59EEAF74F63ED15FF73F243C6FC3FD5E5842F6A3BA34C2022D", + "0281AAAD1B7EEBABEB6EC67932CB7E95717AFA3B4CF7A2DB151CD537C419C3A5" + "156ED9160758190B47696CDC15E81BBAD12975283907A571604DB23F702AEA4B38FF" + }, { + "NIST P-521", 0, + "03B1B274175AAEB5907152E5114CCAEADA28A7ADD4A2B1831C3D8302E8596489" + "E2C98B9B8D0CAE98C03BB11E28CE66D4736449758AF58BAFE40EF5A5FA22C9A43117", + "94C5951F81D544E959EDFC5DC1D5F42FE427871D4FB91A43A0B4A6BEA6B35B9E" + "BC5FB444C70BE4FD47B4ED16704F8C86EF019FC47C7FF2271F8B0DDEA9E2D3BCDD" + }, { + "NIST P-521", 1, + "F2248C318055DE37CD706D4FCAF7E7D96737A4A7B6B8067A66DCD58B6B8DFC55" + "90ECE67F6AA67F9C51B57E7B023075F2F42909BF47361CB6881C10F55FB7215B56", + "0162F735CE6A2ADA54CAF96A12D6888C02DE0A74638CF34CE39DABBACA4D651B" + "7E6ED1A65B551B36BAE7BE474BB6E6905ED0E33C7BA2021885027C7C6E40C5613004" + }, { + "NIST P-521", 0, + "9F08E97FEADCF0A391CA1EA4D97B5FE62D3B164593E12027EB967BD6E1FA841A" + "9831158DF164BCAD0BF3ADA96127745E25F349BDDD52EEA1654892B35960C9C023", + "AE2A25F5440F258AFACA6925C4C9F7AEAD3CB67153C4FACB31AC33F58B43A78C" + "B14F682FF726CEE2A6B6F6B481AEEB29A9B3150F02D1CFB764672BA8294C477291" + }, { + "NIST P-521", 0, + "01047B52014748C904980716953206A93F0D01B34CA94A997407FA93FE304F86" + "17BB6E402B2BB8B434C2671ECE953ABE7BADB75713CD9DF950943A33A9A19ACCDABE", + "7433533F098037DEA616337986887D01C5CC8DEC3DC1FDB9CDF7287EF27CC125" + "54FCF3A5E212DF9DAD9F8A3A7173B23FC6E15930704F3AEE1B074BDDB0ED6823E4" + }, { + "NIST P-521", 0, + "01C2A9EBF51592FE6589F618EAADA1697D9B2EC7CE5D48C9E80FC597642B23F1" + "F0EBE953449762BD3F094F57791D9850AFE98BBDA9872BE399B7BDD617860076BB03", + "0B822E27692F63DB8E12C59BB3CCA172B9BBF613CAE5F9D1474186E45E8B26FF" + "962084E1C6BE74821EDBB60941A3B75516F603719563433383812BFEA89EC14B89" + }, { + "NIST P-521", 0, + "99390F342C3F0D46E80C5B65C61E8AA8ACA0B6D4E1352404586364A05D8398E9" + "2BC71A644E8663F0A9B87D0B3ACAEE32F2AB9B321317AD23059D045EBAB91C5D93", + "82FCF93AE4467EB57766F2B150E736636727E7282500CD482DA70D153D195F2B" + "DF9B96D689A0DC1BB9137B41557A33F202F1B71840544CBEFF03072E77E4BB6F0B" + }, { + "NIST P-521", 1, + "018E48E80594FF5496D8CC7DF8A19D6AA18805A4EF4490038AED6A1E9AA18056" + "D0244A97DCF6D132C6804E3F4F369922119544B4C057D783C848FB798B48730A382C", + "01AF510B4F5E1C40BC9C110216D35E7C6D7A2BEE52914FC98258676288449901" + "F27A07EE91DF2D5D79259712906C3E18A990CBF35BCAC41A952820CE2BA8D0220080" + }, { + "NIST P-521", 1, + "ADCEF3539B4BC831DC0AFD173137A4426152058AFBAE06A17FCB89F4DB6E48B5" + "335CB88F8E4DB475A1E390E5656072F06605BFB84CBF9795B7992ECA04A8E10CA1", + "01BCB985AFD6404B9EDA49B6190AAA346BF7D5909CA440C0F7E505C62FAC8635" + "31D3EB7B2AC4DD4F4404E4B12E9D6D3C596179587F3724B1EFFF684CFDB4B21826B9" + } + }; + gpg_error_t err; + int tidx; + const char *lastcurve = NULL; + gcry_ctx_t ctx = NULL; + gcry_mpi_t qx = NULL; + gcry_mpi_t qy = NULL; + gcry_mpi_point_t Q; + int oncurve; + + wherestr = "point_on_curve"; + for (tidx=0; tidx < DIM (t); tidx++) + { + if (!t[tidx].curve) + { + if (!lastcurve || !ctx) + die ("invalid test vectors at idx %d\n", tidx); + } + else if (!ctx || !lastcurve || strcmp (t[tidx].curve, lastcurve)) + { + lastcurve = t[tidx].curve; + gcry_ctx_release (ctx); + err = gcry_mpi_ec_new (&ctx, NULL, lastcurve); + if (err) + die ("error creating context for curve %s at idx %d: %s\n", + lastcurve, tidx, gpg_strerror (err)); + + info ("checking points on curve %s\n", lastcurve); + } + + gcry_mpi_release (qx); + gcry_mpi_release (qy); + qx = hex2mpi (t[tidx].qx); + qy = hex2mpi (t[tidx].qy); + + Q = gcry_mpi_point_set (NULL, qx, qy, GCRYMPI_CONST_ONE); + if (!Q) + die ("gcry_mpi_point_set(Q) failed at idx %d\n", tidx); + + oncurve = gcry_mpi_ec_curve_point (Q, ctx); + + if (t[tidx].oncurve && !oncurve) + { + fail ("point expected on curve but not identified as such (i=%d):\n", + tidx); + print_point (" Q", Q); + } + else if (!t[tidx].oncurve && oncurve) + { + fail ("point not expected on curve but identified as such (i=%d):\n", + tidx); + print_point (" Q", Q); + } + gcry_mpi_point_release (Q); + } + + gcry_mpi_release (qx); + gcry_mpi_release (qy); + gcry_ctx_release (ctx); +} + + +int +main (int argc, char **argv) +{ + + if (argc > 1 && !strcmp (argv[1], "--verbose")) + verbose = 1; + else if (argc > 1 && !strcmp (argv[1], "--debug")) + verbose = debug = 1; + + if (!gcry_check_version (GCRYPT_VERSION)) + die ("version mismatch\n"); + + xgcry_control (GCRYCTL_DISABLE_SECMEM, 0); + xgcry_control (GCRYCTL_ENABLE_QUICK_RANDOM, 0); + if (debug) + xgcry_control (GCRYCTL_SET_DEBUG_FLAGS, 1u, 0); + xgcry_control (GCRYCTL_INITIALIZATION_FINISHED, 0); + + set_get_point (); + context_alloc (); + context_param (); + basic_ec_math (); + point_on_curve (); + + /* The tests are for P-192 and ed25519 which are not supported in + FIPS mode. */ + if (!gcry_fips_mode_active()) + { + basic_ec_math_simplified (); + twistededwards_math (); + } + + info ("All tests completed. Errors: %d\n", error_count); + return error_count ? 1 : 0; +} |