+/**
+ * Derive key material from a public and a private ECDHE key.
+ *
+ * @param priv private key to use for the ECDH (x)
+ * @param pub public key to use for the ECDH (yG)
+ * @param key_material where to write the key material (xyG)
+ * @return #GNUNET_SYSERR on error, #GNUNET_OK on success
+ */
+int
+GNUNET_CRYPTO_ecc_ecdh (const struct GNUNET_CRYPTO_EcdhePrivateKey *priv,
+ const struct GNUNET_CRYPTO_EcdhePublicKey *pub,
+ struct GNUNET_HashCode *key_material)
+{
+ gcry_mpi_point_t result;
+ gcry_mpi_point_t q;
+ gcry_mpi_t d;
+ gcry_ctx_t ctx;
+ gcry_sexp_t pub_sexpr;
+ gcry_mpi_t result_x;
+ unsigned char xbuf[256 / 8];
+ size_t rsize;
+
+ /* first, extract the q = dP value from the public key */
+ if (0 != gcry_sexp_build (&pub_sexpr, NULL,
+ "(public-key(ecc(curve " CURVE ")(q %b)))",
+ (int)sizeof (pub->q_y), pub->q_y))
+ return GNUNET_SYSERR;
+ GNUNET_assert (0 == gcry_mpi_ec_new (&ctx, pub_sexpr, NULL));
+ gcry_sexp_release (pub_sexpr);
+ q = gcry_mpi_ec_get_point ("q", ctx, 0);
+
+ /* second, extract the d value from our private key */
+ GNUNET_CRYPTO_mpi_scan_unsigned (&d, priv->d, sizeof (priv->d));
+
+ /* then call the 'multiply' function, to compute the product */
+ result = gcry_mpi_point_new (0);
+ gcry_mpi_ec_mul (result, d, q, ctx);
+ gcry_mpi_point_release (q);
+ gcry_mpi_release (d);
+
+ /* finally, convert point to string for hashing */
+ result_x = gcry_mpi_new (256);
+ if (gcry_mpi_ec_get_affine (result_x, NULL, result, ctx))
+ {
+ LOG_GCRY (GNUNET_ERROR_TYPE_ERROR, "get_affine failed", 0);
+ gcry_mpi_point_release (result);
+ gcry_ctx_release (ctx);
+ return GNUNET_SYSERR;
+ }
+ gcry_mpi_point_release (result);
+ gcry_ctx_release (ctx);
+
+ rsize = sizeof (xbuf);
+ GNUNET_assert (! gcry_mpi_get_flag (result_x, GCRYMPI_FLAG_OPAQUE));
+ /* result_x can be negative here, so we do not use 'GNUNET_CRYPTO_mpi_print_unsigned'
+ as that does not include the sign bit; x should be a 255-bit
+ value, so with the sign it should fit snugly into the 256-bit
+ xbuf */
+ GNUNET_assert (0 ==
+ gcry_mpi_print (GCRYMPI_FMT_STD, xbuf, rsize, &rsize,
+ result_x));
+ GNUNET_CRYPTO_hash (xbuf,
+ rsize,
+ key_material);
+ gcry_mpi_release (result_x);
+ return GNUNET_OK;
+}
+
+
+/**
+ * Derive the 'h' value for key derivation, where
+ * 'h = H(l,P)'.
+ *
+ * @param pub public key for deriviation
+ * @param label label for deriviation
+ * @param context additional context to use for HKDF of 'h';
+ * typically the name of the subsystem/application
+ * @return h value
+ */
+static gcry_mpi_t
+derive_h (const struct GNUNET_CRYPTO_EcdsaPublicKey *pub,
+ const char *label,
+ const char *context)
+{
+ gcry_mpi_t h;
+ struct GNUNET_HashCode hc;
+ static const char *const salt = "key-derivation";
+
+ GNUNET_CRYPTO_kdf (&hc, sizeof (hc),
+ salt, strlen (salt),
+ pub, sizeof (*pub),
+ label, strlen (label),
+ context, strlen (context),
+ NULL, 0);
+ GNUNET_CRYPTO_mpi_scan_unsigned (&h,
+ (unsigned char *) &hc,
+ sizeof (hc));
+ return h;
+}
+
+
+/**
+ * Derive a private key from a given private key and a label.
+ * Essentially calculates a private key 'd = H(l,P) * x mod n'
+ * where n is the size of the ECC group and P is the public
+ * key associated with the private key 'd'.
+ *
+ * @param priv original private key
+ * @param label label to use for key deriviation
+ * @param context additional context to use for HKDF of 'h';
+ * typically the name of the subsystem/application
+ * @return derived private key
+ */
+struct GNUNET_CRYPTO_EcdsaPrivateKey *
+GNUNET_CRYPTO_ecdsa_private_key_derive (const struct GNUNET_CRYPTO_EcdsaPrivateKey *priv,
+ const char *label,
+ const char *context)
+{
+ struct GNUNET_CRYPTO_EcdsaPublicKey pub;
+ struct GNUNET_CRYPTO_EcdsaPrivateKey *ret;
+ gcry_mpi_t h;
+ gcry_mpi_t x;
+ gcry_mpi_t d;
+ gcry_mpi_t n;
+ gcry_ctx_t ctx;
+
+ GNUNET_assert (0 == gcry_mpi_ec_new (&ctx, NULL, CURVE));
+
+ n = gcry_mpi_ec_get_mpi ("n", ctx, 1);
+ GNUNET_CRYPTO_ecdsa_key_get_public (priv, &pub);
+
+ h = derive_h (&pub, label, context);
+ GNUNET_CRYPTO_mpi_scan_unsigned (&x,
+ priv->d,
+ sizeof (priv->d));
+ d = gcry_mpi_new (256);
+ gcry_mpi_mulm (d, h, x, n);
+ gcry_mpi_release (h);
+ gcry_mpi_release (x);
+ gcry_mpi_release (n);
+ gcry_ctx_release (ctx);
+ ret = GNUNET_new (struct GNUNET_CRYPTO_EcdsaPrivateKey);
+ GNUNET_CRYPTO_mpi_print_unsigned (ret->d, sizeof (ret->d), d);
+ gcry_mpi_release (d);
+ return ret;
+}
+
+
+/**
+ * Derive a public key from a given public key and a label.
+ * Essentially calculates a public key 'V = H(l,P) * P'.
+ *
+ * @param pub original public key
+ * @param label label to use for key derivation
+ * @param context additional context to use for HKDF of 'h';
+ * typically the name of the subsystem/application
+ * @param result where to write the derived public key
+ */
+void
+GNUNET_CRYPTO_ecdsa_public_key_derive (const struct GNUNET_CRYPTO_EcdsaPublicKey *pub,
+ const char *label,
+ const char *context,
+ struct GNUNET_CRYPTO_EcdsaPublicKey *result)
+{
+ gcry_ctx_t ctx;
+ gcry_mpi_t q_y;
+ gcry_mpi_t h;
+ gcry_mpi_t n;
+ gcry_mpi_t h_mod_n;
+ gcry_mpi_point_t q;
+ gcry_mpi_point_t v;
+
+ GNUNET_assert (0 == gcry_mpi_ec_new (&ctx, NULL, CURVE));
+
+ /* obtain point 'q' from original public key. The provided 'q' is
+ compressed thus we first store it in the context and then get it
+ back as a (decompresssed) point. */
+ q_y = gcry_mpi_set_opaque_copy (NULL, pub->q_y, 8*sizeof (pub->q_y));
+ GNUNET_assert (NULL != q_y);
+ GNUNET_assert (0 == gcry_mpi_ec_set_mpi ("q", q_y, ctx));
+ gcry_mpi_release (q_y);
+ q = gcry_mpi_ec_get_point ("q", ctx, 0);
+ GNUNET_assert (q);
+
+ /* calculate h_mod_n = h % n */
+ h = derive_h (pub, label, context);
+ n = gcry_mpi_ec_get_mpi ("n", ctx, 1);
+ h_mod_n = gcry_mpi_new (256);
+ gcry_mpi_mod (h_mod_n, h, n);
+ /* calculate v = h_mod_n * q */
+ v = gcry_mpi_point_new (0);
+ gcry_mpi_ec_mul (v, h_mod_n, q, ctx);
+ gcry_mpi_release (h_mod_n);
+ gcry_mpi_release (h);
+ gcry_mpi_release (n);
+ gcry_mpi_point_release (q);
+
+ /* convert point 'v' to public key that we return */
+ GNUNET_assert (0 == gcry_mpi_ec_set_point ("q", v, ctx));
+ gcry_mpi_point_release (v);
+ q_y = gcry_mpi_ec_get_mpi ("q@eddsa", ctx, 0);
+ GNUNET_assert (q_y);
+ GNUNET_CRYPTO_mpi_print_unsigned (result->q_y,
+ sizeof (result->q_y),
+ q_y);
+ gcry_mpi_release (q_y);
+ gcry_ctx_release (ctx);
+}
+
+
+/**
+ * Reverse the sequence of the bytes in @a buffer
+ *
+ * @param[in|out] buffer buffer to invert
+ * @param length number of bytes in @a buffer
+ */
+static void
+reverse_buffer (unsigned char *buffer,
+ size_t length)
+{
+ unsigned char tmp;
+ size_t i;
+
+ for (i=0; i < length/2; i++)
+ {
+ tmp = buffer[i];
+ buffer[i] = buffer[length-1-i];
+ buffer[length-1-i] = tmp;
+ }
+}
+
+
+/**
+ * Convert the secret @a d of an EdDSA key to the
+ * value that is actually used in the EdDSA computation.
+ *
+ * @param d secret input
+ * @return value used for the calculation in EdDSA
+ */
+static gcry_mpi_t
+eddsa_d_to_a (gcry_mpi_t d)
+{
+ unsigned char rawmpi[32]; /* 256-bit value */
+ size_t rawmpilen;
+ unsigned char digest[64]; /* 512-bit hash value */
+ gcry_buffer_t hvec[2];
+ int b;
+ gcry_mpi_t a;
+
+ b = 256 / 8; /* number of bytes in `d` */
+
+ /* Note that we clear DIGEST so we can use it as input to left pad
+ the key with zeroes for hashing. */
+ memset (hvec, 0, sizeof hvec);
+ rawmpilen = sizeof (rawmpi);
+ GNUNET_assert (0 ==
+ gcry_mpi_print (GCRYMPI_FMT_USG,
+ rawmpi, rawmpilen, &rawmpilen,
+ d));
+ hvec[0].data = digest;
+ hvec[0].off = 0;
+ hvec[0].len = b > rawmpilen? b - rawmpilen : 0;
+ hvec[1].data = rawmpi;
+ hvec[1].off = 0;
+ hvec[1].len = rawmpilen;
+ GNUNET_assert (0 ==
+ gcry_md_hash_buffers (GCRY_MD_SHA512,
+ 0 /* flags */,
+ digest,
+ hvec, 2));
+ /* Compute the A value. */
+ reverse_buffer (digest, 32); /* Only the first half of the hash. */
+ digest[0] = (digest[0] & 0x7f) | 0x40;
+ digest[31] &= 0xf8;
+
+ GNUNET_CRYPTO_mpi_scan_unsigned (&a,
+ digest,
+ 32);
+ return a;
+}
+
+
+/**
+ * @ingroup crypto
+ * Derive key material from a ECDH public key and a private EdDSA key.
+ * Dual to #GNUNET_CRRYPTO_ecdh_eddsa.
+ *
+ * @param priv private key from EdDSA to use for the ECDH (x)
+ * @param pub public key to use for the ECDH (yG)
+ * @param key_material where to write the key material H(h(x)yG)
+ * @return #GNUNET_SYSERR on error, #GNUNET_OK on success
+ */
+int
+GNUNET_CRYPTO_eddsa_ecdh (const struct GNUNET_CRYPTO_EddsaPrivateKey *priv,
+ const struct GNUNET_CRYPTO_EcdhePublicKey *pub,
+ struct GNUNET_HashCode *key_material)
+{
+ gcry_mpi_point_t result;
+ gcry_mpi_point_t q;
+ gcry_mpi_t d;
+ gcry_mpi_t a;
+ gcry_ctx_t ctx;
+ gcry_sexp_t pub_sexpr;
+ gcry_mpi_t result_x;
+ unsigned char xbuf[256 / 8];
+ size_t rsize;
+
+ /* first, extract the q = dP value from the public key */
+ if (0 != gcry_sexp_build (&pub_sexpr, NULL,
+ "(public-key(ecc(curve " CURVE ")(q %b)))",
+ (int)sizeof (pub->q_y), pub->q_y))
+ return GNUNET_SYSERR;
+ GNUNET_assert (0 == gcry_mpi_ec_new (&ctx, pub_sexpr, NULL));
+ gcry_sexp_release (pub_sexpr);
+ q = gcry_mpi_ec_get_point ("q", ctx, 0);
+
+ /* second, extract the d value from our private key */
+ GNUNET_CRYPTO_mpi_scan_unsigned (&d, priv->d, sizeof (priv->d));
+
+ /* NOW, because this is EdDSA, HASH 'd' first! */
+ a = eddsa_d_to_a (d);
+ gcry_mpi_release (d);
+
+ /* then call the 'multiply' function, to compute the product */
+ result = gcry_mpi_point_new (0);
+ gcry_mpi_ec_mul (result, a, q, ctx);
+ gcry_mpi_point_release (q);
+ gcry_mpi_release (a);
+
+ /* finally, convert point to string for hashing */
+ result_x = gcry_mpi_new (256);
+ if (gcry_mpi_ec_get_affine (result_x, NULL, result, ctx))
+ {
+ LOG_GCRY (GNUNET_ERROR_TYPE_ERROR, "get_affine failed", 0);
+ gcry_mpi_point_release (result);
+ gcry_ctx_release (ctx);
+ return GNUNET_SYSERR;
+ }
+ gcry_mpi_point_release (result);
+ gcry_ctx_release (ctx);
+
+ rsize = sizeof (xbuf);
+ GNUNET_assert (! gcry_mpi_get_flag (result_x, GCRYMPI_FLAG_OPAQUE));
+ /* result_x can be negative here, so we do not use 'GNUNET_CRYPTO_mpi_print_unsigned'
+ as that does not include the sign bit; x should be a 255-bit
+ value, so with the sign it should fit snugly into the 256-bit
+ xbuf */
+ GNUNET_assert (0 ==
+ gcry_mpi_print (GCRYMPI_FMT_STD, xbuf, rsize, &rsize,
+ result_x));
+ GNUNET_CRYPTO_hash (xbuf,
+ rsize,
+ key_material);
+ gcry_mpi_release (result_x);
+ return GNUNET_OK;
+}
+
+/**
+ * @ingroup crypto
+ * Derive key material from a ECDH public key and a private ECDSA key.
+ * Dual to #GNUNET_CRRYPTO_ecdh_eddsa.
+ *
+ * @param priv private key from ECDSA to use for the ECDH (x)
+ * @param pub public key to use for the ECDH (yG)
+ * @param key_material where to write the key material H(h(x)yG)
+ * @return #GNUNET_SYSERR on error, #GNUNET_OK on success
+ */
+int
+GNUNET_CRYPTO_ecdsa_ecdh (const struct GNUNET_CRYPTO_EcdsaPrivateKey *priv,
+ const struct GNUNET_CRYPTO_EcdhePublicKey *pub,
+ struct GNUNET_HashCode *key_material)
+{
+ gcry_mpi_point_t result;
+ gcry_mpi_point_t q;
+ gcry_mpi_t d;
+ gcry_ctx_t ctx;
+ gcry_sexp_t pub_sexpr;
+ gcry_mpi_t result_x;
+ unsigned char xbuf[256 / 8];
+ size_t rsize;
+
+ /* first, extract the q = dP value from the public key */
+ if (0 != gcry_sexp_build (&pub_sexpr, NULL,
+ "(public-key(ecc(curve " CURVE ")(q %b)))",
+ (int)sizeof (pub->q_y), pub->q_y))
+ return GNUNET_SYSERR;
+ GNUNET_assert (0 == gcry_mpi_ec_new (&ctx, pub_sexpr, NULL));
+ gcry_sexp_release (pub_sexpr);
+ q = gcry_mpi_ec_get_point ("q", ctx, 0);
+
+ /* second, extract the d value from our private key */
+ GNUNET_CRYPTO_mpi_scan_unsigned (&d, priv->d, sizeof (priv->d));
+
+ /* then call the 'multiply' function, to compute the product */
+ result = gcry_mpi_point_new (0);
+ gcry_mpi_ec_mul (result, d, q, ctx);
+ gcry_mpi_point_release (q);
+ gcry_mpi_release (d);
+
+ /* finally, convert point to string for hashing */
+ result_x = gcry_mpi_new (256);
+ if (gcry_mpi_ec_get_affine (result_x, NULL, result, ctx))
+ {
+ LOG_GCRY (GNUNET_ERROR_TYPE_ERROR, "get_affine failed", 0);
+ gcry_mpi_point_release (result);
+ gcry_ctx_release (ctx);
+ return GNUNET_SYSERR;
+ }
+ gcry_mpi_point_release (result);
+ gcry_ctx_release (ctx);
+
+ rsize = sizeof (xbuf);
+ GNUNET_assert (! gcry_mpi_get_flag (result_x, GCRYMPI_FLAG_OPAQUE));
+ /* result_x can be negative here, so we do not use 'GNUNET_CRYPTO_mpi_print_unsigned'
+ as that does not include the sign bit; x should be a 255-bit
+ value, so with the sign it should fit snugly into the 256-bit
+ xbuf */
+ GNUNET_assert (0 ==
+ gcry_mpi_print (GCRYMPI_FMT_STD, xbuf, rsize, &rsize,
+ result_x));
+ GNUNET_CRYPTO_hash (xbuf,
+ rsize,
+ key_material);
+ gcry_mpi_release (result_x);
+ return GNUNET_OK;
+}
+
+
+
+/**
+ * @ingroup crypto
+ * Derive key material from a EdDSA public key and a private ECDH key.
+ * Dual to #GNUNET_CRRYPTO_eddsa_ecdh.
+ *
+ * @param priv private key to use for the ECDH (y)
+ * @param pub public key from EdDSA to use for the ECDH (X=h(x)G)
+ * @param key_material where to write the key material H(yX)=H(h(x)yG)
+ * @return #GNUNET_SYSERR on error, #GNUNET_OK on success
+ */
+int
+GNUNET_CRYPTO_ecdh_eddsa (const struct GNUNET_CRYPTO_EcdhePrivateKey *priv,
+ const struct GNUNET_CRYPTO_EddsaPublicKey *pub,
+ struct GNUNET_HashCode *key_material)
+{
+ gcry_mpi_point_t result;
+ gcry_mpi_point_t q;
+ gcry_mpi_t d;
+ gcry_ctx_t ctx;
+ gcry_sexp_t pub_sexpr;
+ gcry_mpi_t result_x;
+ unsigned char xbuf[256 / 8];
+ size_t rsize;
+
+ /* first, extract the q = dP value from the public key */
+ if (0 != gcry_sexp_build (&pub_sexpr, NULL,
+ "(public-key(ecc(curve " CURVE ")(q %b)))",
+ (int)sizeof (pub->q_y), pub->q_y))
+ return GNUNET_SYSERR;
+ GNUNET_assert (0 == gcry_mpi_ec_new (&ctx, pub_sexpr, NULL));
+ gcry_sexp_release (pub_sexpr);
+ q = gcry_mpi_ec_get_point ("q", ctx, 0);
+
+ /* second, extract the d value from our private key */
+ GNUNET_CRYPTO_mpi_scan_unsigned (&d, priv->d, sizeof (priv->d));
+
+ /* then call the 'multiply' function, to compute the product */
+ result = gcry_mpi_point_new (0);
+ gcry_mpi_ec_mul (result, d, q, ctx);
+ gcry_mpi_point_release (q);
+ gcry_mpi_release (d);
+
+ /* finally, convert point to string for hashing */
+ result_x = gcry_mpi_new (256);
+ if (gcry_mpi_ec_get_affine (result_x, NULL, result, ctx))
+ {
+ LOG_GCRY (GNUNET_ERROR_TYPE_ERROR, "get_affine failed", 0);
+ gcry_mpi_point_release (result);
+ gcry_ctx_release (ctx);
+ return GNUNET_SYSERR;
+ }
+ gcry_mpi_point_release (result);
+ gcry_ctx_release (ctx);
+
+ rsize = sizeof (xbuf);
+ GNUNET_assert (! gcry_mpi_get_flag (result_x, GCRYMPI_FLAG_OPAQUE));
+ /* result_x can be negative here, so we do not use 'GNUNET_CRYPTO_mpi_print_unsigned'
+ as that does not include the sign bit; x should be a 255-bit
+ value, so with the sign it should fit snugly into the 256-bit
+ xbuf */
+ GNUNET_assert (0 ==
+ gcry_mpi_print (GCRYMPI_FMT_STD, xbuf, rsize, &rsize,
+ result_x));
+ GNUNET_CRYPTO_hash (xbuf,
+ rsize,
+ key_material);
+ gcry_mpi_release (result_x);
+ return GNUNET_OK;
+}
+
+/**
+ * @ingroup crypto
+ * Derive key material from a ECDSA public key and a private ECDH key.
+ * Dual to #GNUNET_CRRYPTO_eddsa_ecdh.
+ *
+ * @param priv private key to use for the ECDH (y)
+ * @param pub public key from ECDSA to use for the ECDH (X=h(x)G)
+ * @param key_material where to write the key material H(yX)=H(h(x)yG)
+ * @return #GNUNET_SYSERR on error, #GNUNET_OK on success
+ */
+int
+GNUNET_CRYPTO_ecdh_ecdsa (const struct GNUNET_CRYPTO_EcdhePrivateKey *priv,
+ const struct GNUNET_CRYPTO_EcdsaPublicKey *pub,
+ struct GNUNET_HashCode *key_material)
+{
+ return GNUNET_CRYPTO_ecdh_eddsa (priv,
+ (const struct GNUNET_CRYPTO_EddsaPublicKey *)pub,
+ key_material);
+}
+