static void
set_get_point (void)
{
gcry_mpi_point_t point;
gcry_mpi_t x, y, z;
wherestr = "set_get_point";
show ("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");
gcry_mpi_point_release (point);
gcry_mpi_release (x);
gcry_mpi_release (y);
gcry_mpi_release (z);
}
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);
}
void gotr_ecbd_gen_X_value(gcry_mpi_point_t* ret, const gcry_mpi_point_t succ, const gcry_mpi_point_t pred, const gcry_mpi_t priv)
{
gcry_mpi_t x = gcry_mpi_new(0);
gcry_mpi_t y = gcry_mpi_new(0);
gcry_mpi_t z = gcry_mpi_new(0);
gcry_mpi_point_t tmpoint = gcry_mpi_point_new(0);
gotr_assert(succ && pred && priv);
gcry_mpi_point_release(*ret);
*ret = gcry_mpi_point_new(0);
///@todo use gcry_mpi_ec_sub after it is released
gcry_mpi_point_get(x, y, z, pred);
gcry_mpi_neg(x, x);
gcry_mpi_point_set(tmpoint, x, y, z);
gcry_mpi_ec_add(tmpoint, succ, tmpoint, edctx);
gcry_mpi_ec_mul(*ret, priv, tmpoint, edctx);
gcry_mpi_point_release(tmpoint);
gcry_mpi_release(x);
gcry_mpi_release(y);
gcry_mpi_release(z);
}
/* 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";
show ("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);
gcry_mpi_point_get (x, y, z, Q);
if (cmp_mpihex (x, "222D9EC717C89D047E0898C9185B033CD11C0A981EE6DC66")
|| cmp_mpihex (y, "605DE0A82D70D3E0F84A127D0739ED33D657DF0D054BFDE8")
|| cmp_mpihex (z, "00B06B519071BC536999AC8F2D3934B3C1FC9EACCD0A31F88F"))
fail ("computed public key does not match\n");
if (debug)
{
print_mpi ("Q.x", x);
print_mpi ("Q.y", y);
print_mpi ("Q.z", z);
}
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 wheer 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 (verbose)
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 (verbose)
print_sexp ("Result of gcry_pubkey_get_sexp (GET_PUBKEY):\n", sexp);
gcry_sexp_release (sexp);
/* Does get_sexp return the public key if 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 (verbose)
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);
}
/* 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";
show ("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 (x, 0) || gcry_mpi_cmp_ui (y, 0)
|| gcry_mpi_cmp_ui (z, 0))
fail ("multiply a point by zero failed\n");
}
gcry_mpi_ec_mul (Q, d, G, ctx);
gcry_mpi_point_get (x, y, z, Q);
if (cmp_mpihex (x, "222D9EC717C89D047E0898C9185B033CD11C0A981EE6DC66")
|| cmp_mpihex (y, "605DE0A82D70D3E0F84A127D0739ED33D657DF0D054BFDE8")
|| cmp_mpihex (z, "00B06B519071BC536999AC8F2D3934B3C1FC9EACCD0A31F88F"))
fail ("computed public key does not match\n");
if (debug)
{
print_mpi ("Q.x", x);
print_mpi ("Q.y", y);
print_mpi ("Q.z", z);
}
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);
}
