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authorIngela Anderton Andin <[email protected]>2013-05-08 10:43:24 +0200
committerIngela Anderton Andin <[email protected]>2013-05-08 10:43:24 +0200
commit705e3b1137ebb2cfa1e729c9a4cf44638270f7e5 (patch)
tree800665a97cec32d894b822b0c9d3b4eeb7d51f8e /lib/public_key/src
parent8e00f4ce7a49b2fd1da7e481dc0985703e4131a5 (diff)
parent19d511a10d5e258b8f2f876f7c12ffbf35174d89 (diff)
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Merge branch 'ia/ssl/public_key/crypto/elliptic_curve/OTP-11009' into maint
* ia/ssl/public_key/crypto/elliptic_curve/OTP-11009: (39 commits) ssl: Fix dialyzer spec crypto: Remove debug printouts ssl: Only send ECC-hello extension if ECC-cipher suites are advertised ssl & public_key: Use standard name ssl & crypto: Generalize the remaining crypto API public_key: Add new API functions to the documentation ssl & public_key: Use new crypto API functions crypto: New API for ciphers crypto: Deprecate functions, update doc and specs ssl: Fix Curve selection ssl, crypto: Eliminate remaining mpint and EC resource key from API ssl, public_key, crypto: General generate_key and compute_key functions crypto: Add generic functions generate_key and compute_key crypto: Change ecdh_compute_key to have 3 arguments ssl: Improve extention handling ssl: test case fix ssl & public_key: API refinement public_key: use new crypto crypto: Fix ec_key resource to be upgradeable crypto: Combine ec_key_new into ecdh_generate_key ...
Diffstat (limited to 'lib/public_key/src')
-rw-r--r--lib/public_key/src/pubkey_cert_records.erl88
-rw-r--r--lib/public_key/src/pubkey_pem.erl16
-rw-r--r--lib/public_key/src/public_key.erl185
3 files changed, 216 insertions, 73 deletions
diff --git a/lib/public_key/src/pubkey_cert_records.erl b/lib/public_key/src/pubkey_cert_records.erl
index 98004c71a3..0449129809 100644
--- a/lib/public_key/src/pubkey_cert_records.erl
+++ b/lib/public_key/src/pubkey_cert_records.erl
@@ -23,7 +23,8 @@
-include("public_key.hrl").
--export([decode_cert/1, transform/2, supportedPublicKeyAlgorithms/1]).
+-export([decode_cert/1, transform/2, supportedPublicKeyAlgorithms/1,
+ supportedCurvesTypes/1, namedCurves/1]).
%%====================================================================
%% Internal application API
@@ -101,6 +102,77 @@ supportedPublicKeyAlgorithms(?'dhpublicnumber') -> 'DHPublicKey';
supportedPublicKeyAlgorithms(?'id-keyExchangeAlgorithm') -> 'KEA-PublicKey';
supportedPublicKeyAlgorithms(?'id-ecPublicKey') -> 'ECPoint'.
+supportedCurvesTypes(?'characteristic-two-field') -> characteristic_two_field;
+supportedCurvesTypes(?'prime-field') -> prime_field.
+
+namedCurves(?'sect571r1') -> sect571r1;
+namedCurves(?'sect571k1') -> sect571k1;
+namedCurves(?'sect409r1') -> sect409r1;
+namedCurves(?'sect409k1') -> sect409k1;
+namedCurves(?'secp521r1') -> secp521r1;
+namedCurves(?'secp384r1') -> secp384r1;
+namedCurves(?'secp224r1') -> secp224r1;
+namedCurves(?'secp224k1') -> secp224k1;
+namedCurves(?'secp192k1') -> secp192k1;
+namedCurves(?'secp160r2') -> secp160r2;
+namedCurves(?'secp128r2') -> secp128r2;
+namedCurves(?'secp128r1') -> secp128r1;
+namedCurves(?'sect233r1') -> sect233r1;
+namedCurves(?'sect233k1') -> sect233k1;
+namedCurves(?'sect193r2') -> sect193r2;
+namedCurves(?'sect193r1') -> sect193r1;
+namedCurves(?'sect131r2') -> sect131r2;
+namedCurves(?'sect131r1') -> sect131r1;
+namedCurves(?'sect283r1') -> sect283r1;
+namedCurves(?'sect283k1') -> sect283k1;
+namedCurves(?'sect163r2') -> sect163r2;
+namedCurves(?'secp256k1') -> secp256k1;
+namedCurves(?'secp160k1') -> secp160k1;
+namedCurves(?'secp160r1') -> secp160r1;
+namedCurves(?'secp112r2') -> secp112r2;
+namedCurves(?'secp112r1') -> secp112r1;
+namedCurves(?'sect113r2') -> sect113r2;
+namedCurves(?'sect113r1') -> sect113r1;
+namedCurves(?'sect239k1') -> sect239k1;
+namedCurves(?'sect163r1') -> sect163r1;
+namedCurves(?'sect163k1') -> sect163k1;
+namedCurves(?'secp256r1') -> secp256r1;
+namedCurves(?'secp192r1') -> secp192r1;
+
+namedCurves(sect571r1) -> ?'sect571r1';
+namedCurves(sect571k1) -> ?'sect571k1';
+namedCurves(sect409r1) -> ?'sect409r1';
+namedCurves(sect409k1) -> ?'sect409k1';
+namedCurves(secp521r1) -> ?'secp521r1';
+namedCurves(secp384r1) -> ?'secp384r1';
+namedCurves(secp224r1) -> ?'secp224r1';
+namedCurves(secp224k1) -> ?'secp224k1';
+namedCurves(secp192k1) -> ?'secp192k1';
+namedCurves(secp160r2) -> ?'secp160r2';
+namedCurves(secp128r2) -> ?'secp128r2';
+namedCurves(secp128r1) -> ?'secp128r1';
+namedCurves(sect233r1) -> ?'sect233r1';
+namedCurves(sect233k1) -> ?'sect233k1';
+namedCurves(sect193r2) -> ?'sect193r2';
+namedCurves(sect193r1) -> ?'sect193r1';
+namedCurves(sect131r2) -> ?'sect131r2';
+namedCurves(sect131r1) -> ?'sect131r1';
+namedCurves(sect283r1) -> ?'sect283r1';
+namedCurves(sect283k1) -> ?'sect283k1';
+namedCurves(sect163r2) -> ?'sect163r2';
+namedCurves(secp256k1) -> ?'secp256k1';
+namedCurves(secp160k1) -> ?'secp160k1';
+namedCurves(secp160r1) -> ?'secp160r1';
+namedCurves(secp112r2) -> ?'secp112r2';
+namedCurves(secp112r1) -> ?'secp112r1';
+namedCurves(sect113r2) -> ?'sect113r2';
+namedCurves(sect113r1) -> ?'sect113r1';
+namedCurves(sect239k1) -> ?'sect239k1';
+namedCurves(sect163r1) -> ?'sect163r1';
+namedCurves(sect163k1) -> ?'sect163k1';
+namedCurves(secp256r1) -> ?'secp256r1';
+namedCurves(secp192r1) -> ?'secp192r1'.
+
%%--------------------------------------------------------------------
%%% Internal functions
%%--------------------------------------------------------------------
@@ -111,14 +183,24 @@ decode_supportedPublicKey(#'OTPSubjectPublicKeyInfo'{algorithm= PA =
#'PublicKeyAlgorithm'{algorithm=Algo},
subjectPublicKey = {0,SPK0}}) ->
Type = supportedPublicKeyAlgorithms(Algo),
- {ok, SPK} = 'OTP-PUB-KEY':decode(Type, SPK0),
+ SPK = case Type of
+ 'ECPoint' -> #'ECPoint'{point = SPK0};
+ _ -> {ok, SPK1} = 'OTP-PUB-KEY':decode(Type, SPK0),
+ SPK1
+ end,
#'OTPSubjectPublicKeyInfo'{subjectPublicKey = SPK, algorithm=PA}.
encode_supportedPublicKey(#'OTPSubjectPublicKeyInfo'{algorithm= PA =
#'PublicKeyAlgorithm'{algorithm=Algo},
subjectPublicKey = SPK0}) ->
Type = supportedPublicKeyAlgorithms(Algo),
- {ok, SPK} = 'OTP-PUB-KEY':encode(Type, SPK0),
+ SPK = case Type of
+ 'ECPoint' ->
+ SPK0#'ECPoint'.point;
+ _ ->
+ {ok, SPK1} = 'OTP-PUB-KEY':encode(Type, SPK0),
+ SPK1
+ end,
#'OTPSubjectPublicKeyInfo'{subjectPublicKey = {0,SPK}, algorithm=PA}.
%%% Extensions
diff --git a/lib/public_key/src/pubkey_pem.erl b/lib/public_key/src/pubkey_pem.erl
index 6bdc35fb79..746d142ec3 100644
--- a/lib/public_key/src/pubkey_pem.erl
+++ b/lib/public_key/src/pubkey_pem.erl
@@ -202,7 +202,11 @@ pem_start('CertificationRequest') ->
pem_start('ContentInfo') ->
<<"-----BEGIN PKCS7-----">>;
pem_start('CertificateList') ->
- <<"-----BEGIN X509 CRL-----">>.
+ <<"-----BEGIN X509 CRL-----">>;
+pem_start('OTPEcpkParameters') ->
+ <<"-----BEGIN EC PARAMETERS-----">>;
+pem_start('ECPrivateKey') ->
+ <<"-----BEGIN EC PRIVATE KEY-----">>.
pem_end(<<"-----BEGIN CERTIFICATE-----">>) ->
<<"-----END CERTIFICATE-----">>;
@@ -226,6 +230,10 @@ pem_end(<<"-----BEGIN PKCS7-----">>) ->
<<"-----END PKCS7-----">>;
pem_end(<<"-----BEGIN X509 CRL-----">>) ->
<<"-----END X509 CRL-----">>;
+pem_end(<<"-----BEGIN EC PARAMETERS-----">>) ->
+ <<"-----END EC PARAMETERS-----">>;
+pem_end(<<"-----BEGIN EC PRIVATE KEY-----">>) ->
+ <<"-----END EC PRIVATE KEY-----">>;
pem_end(_) ->
undefined.
@@ -250,7 +258,11 @@ asn1_type(<<"-----BEGIN CERTIFICATE REQUEST-----">>) ->
asn1_type(<<"-----BEGIN PKCS7-----">>) ->
'ContentInfo';
asn1_type(<<"-----BEGIN X509 CRL-----">>) ->
- 'CertificateList'.
+ 'CertificateList';
+asn1_type(<<"-----BEGIN EC PARAMETERS-----">>) ->
+ 'OTPEcpkParameters';
+asn1_type(<<"-----BEGIN EC PRIVATE KEY-----">>) ->
+ 'ECPrivateKey'.
pem_decrypt() ->
<<"Proc-Type: 4,ENCRYPTED">>.
diff --git a/lib/public_key/src/public_key.erl b/lib/public_key/src/public_key.erl
index 736c18cdd4..648dba3d5a 100644
--- a/lib/public_key/src/public_key.erl
+++ b/lib/public_key/src/public_key.erl
@@ -35,6 +35,8 @@
encrypt_public/2, encrypt_public/3,
decrypt_public/2, decrypt_public/3,
sign/3, verify/4,
+ generate_key/1,
+ compute_key/2, compute_key/3,
pkix_sign/2, pkix_verify/2,
pkix_sign_types/1,
pkix_is_self_signed/1,
@@ -52,6 +54,7 @@
-type public_crypt_options() :: [{rsa_pad, rsa_padding()}].
-type rsa_digest_type() :: 'md5' | 'sha'| 'sha224' | 'sha256' | 'sha384' | 'sha512'.
-type dss_digest_type() :: 'none' | 'sha'. %% None is for backwards compatibility
+-type ecdsa_digest_type() :: 'sha'| 'sha224' | 'sha256' | 'sha384' | 'sha512'.
-type crl_reason() :: unspecified | keyCompromise | cACompromise | affiliationChanged | superseded
| cessationOfOperation | certificateHold | privilegeWithdrawn | aACompromise.
-type oid() :: tuple().
@@ -94,7 +97,9 @@ pem_entry_decode({'SubjectPublicKeyInfo', Der, _}) ->
der_decode(KeyType, Key0);
'DSAPublicKey' ->
{params, DssParams} = der_decode('DSAParams', Params),
- {der_decode(KeyType, Key0), DssParams}
+ {der_decode(KeyType, Key0), DssParams};
+ 'ECPoint' ->
+ der_decode(KeyType, Key0)
end;
pem_entry_decode({Asn1Type, Der, not_encrypted}) when is_atom(Asn1Type),
is_binary(Der) ->
@@ -251,10 +256,9 @@ decrypt_private(CipherText,
privateExponent = D} = Key,
Options)
when is_binary(CipherText),
- is_integer(N), is_integer(E), is_integer(D),
is_list(Options) ->
Padding = proplists:get_value(rsa_pad, Options, rsa_pkcs1_padding),
- crypto:rsa_private_decrypt(CipherText, format_rsa_private_key(Key), Padding).
+ crypto:private_decrypt(rsa, CipherText, format_rsa_private_key(Key), Padding).
%%--------------------------------------------------------------------
-spec decrypt_public(CipherText :: binary(), rsa_public_key() | rsa_private_key()) ->
@@ -318,30 +322,41 @@ encrypt_private(PlainText,
Options)
when is_binary(PlainText),
is_integer(N), is_integer(E), is_integer(D),
- is_list(Options) ->
+ is_list(Options) ->
Padding = proplists:get_value(rsa_pad, Options, rsa_pkcs1_padding),
- crypto:rsa_private_encrypt(PlainText, format_rsa_private_key(Key), Padding).
+ crypto:private_encrypt(rsa, PlainText, format_rsa_private_key(Key), Padding).
+%%--------------------------------------------------------------------
+-spec generate_key(#'DHParameter'{} | {namedCurve, Name ::atom()} |
+ #'ECParameters'{}) -> {Public::binary(), Private::binary()} |
+ #'ECPrivateKey'{}.
+%% Description: Generates a new keypair
+%%--------------------------------------------------------------------
+generate_key(#'DHParameter'{prime = P, base = G}) ->
+ crypto:generate_key(dh, [P, G]);
+generate_key({namedCurve, _} = Params) ->
+ ec_generate_key(Params);
+generate_key(#'ECParameters'{} = Params) ->
+ ec_generate_key(Params).
-format_rsa_private_key(#'RSAPrivateKey'{modulus = N, publicExponent = E,
- privateExponent = D,
- prime1 = P1, prime2 = P2,
- exponent1 = E1, exponent2 = E2,
- coefficient = C})
- when is_integer(P1), is_integer(P2),
- is_integer(E1), is_integer(E2), is_integer(C) ->
- [crypto:mpint(K) || K <- [E, N, D, P1, P2, E1, E2, C]];
+%%--------------------------------------------------------------------
+-spec compute_key(#'ECPoint'{} , #'ECPrivateKey'{}) -> binary().
+-spec compute_key(OthersKey ::binary(), MyKey::binary(), #'DHParameter'{}) -> binary().
+%% Description: Compute shared secret
+%%--------------------------------------------------------------------
+compute_key(#'ECPoint'{point = Point}, #'ECPrivateKey'{privateKey = PrivKey,
+ parameters = Param}) ->
+ ECCurve = ec_curve_spec(Param),
+ crypto:compute_key(ecdh, Point, list2int(PrivKey), ECCurve).
-format_rsa_private_key(#'RSAPrivateKey'{modulus = N, publicExponent = E,
- privateExponent = D}) ->
- [crypto:mpint(K) || K <- [E, N, D]].
+compute_key(PubKey, PrivKey, #'DHParameter'{prime = P, base = G}) ->
+ crypto:compute_key(dh, PubKey, PrivKey, [P, G]).
%%--------------------------------------------------------------------
-
-spec pkix_sign_types(SignatureAlg::oid()) ->
%% Relevant dsa digest type is subpart of rsa digest type
{ DigestType :: rsa_digest_type(),
- SignatureType :: rsa | dsa
+ SignatureType :: rsa | dsa | ecdsa
}.
%% Description:
%%--------------------------------------------------------------------
@@ -362,68 +377,60 @@ pkix_sign_types(?md5WithRSAEncryption) ->
pkix_sign_types(?'id-dsa-with-sha1') ->
{sha, dsa};
pkix_sign_types(?'id-dsaWithSHA1') ->
- {sha, dsa}.
+ {sha, dsa};
+pkix_sign_types(?'ecdsa-with-SHA1') ->
+ {sha, ecdsa};
+pkix_sign_types(?'ecdsa-with-SHA256') ->
+ {sha256, ecdsa};
+pkix_sign_types(?'ecdsa-with-SHA384') ->
+ {sha384, ecdsa};
+pkix_sign_types(?'ecdsa-with-SHA512') ->
+ {sha512, ecdsa}.
%%--------------------------------------------------------------------
--spec sign(binary() | {digest, binary()}, rsa_digest_type() | dss_digest_type(),
+-spec sign(binary() | {digest, binary()}, rsa_digest_type() | dss_digest_type() | ecdsa_digest_type(),
rsa_private_key() |
- dsa_private_key()) -> Signature :: binary().
+ dsa_private_key() | ec_private_key()) -> Signature :: binary().
%% Description: Create digital signature.
%%--------------------------------------------------------------------
-sign({digest,_}=Digest, DigestType, Key = #'RSAPrivateKey'{}) ->
- crypto:rsa_sign(DigestType, Digest, format_rsa_private_key(Key));
+sign(DigestOrPlainText, DigestType, Key = #'RSAPrivateKey'{}) ->
+ crypto:sign(rsa, DigestType, DigestOrPlainText, format_rsa_private_key(Key));
-sign(PlainText, DigestType, Key = #'RSAPrivateKey'{}) ->
- crypto:rsa_sign(DigestType, sized_binary(PlainText), format_rsa_private_key(Key));
+sign(DigestOrPlainText, sha, #'DSAPrivateKey'{p = P, q = Q, g = G, x = X}) ->
+ crypto:sign(dss, sha, DigestOrPlainText, [P, Q, G, X]);
-sign({digest,_}=Digest, sha, #'DSAPrivateKey'{p = P, q = Q, g = G, x = X}) ->
- crypto:dss_sign(Digest,
- [crypto:mpint(P), crypto:mpint(Q),
- crypto:mpint(G), crypto:mpint(X)]);
-
-sign(PlainText, sha, #'DSAPrivateKey'{p = P, q = Q, g = G, x = X}) ->
- crypto:dss_sign(sized_binary(PlainText),
- [crypto:mpint(P), crypto:mpint(Q),
- crypto:mpint(G), crypto:mpint(X)]);
+sign(DigestOrPlainText, DigestType, #'ECPrivateKey'{privateKey = PrivKey,
+ parameters = Param}) ->
+ ECCurve = ec_curve_spec(Param),
+ crypto:sign(ecdsa, DigestType, DigestOrPlainText, [list2int(PrivKey), ECCurve]);
%% Backwards compatible
sign(Digest, none, #'DSAPrivateKey'{} = Key) ->
sign({digest,Digest}, sha, Key).
%%--------------------------------------------------------------------
--spec verify(binary() | {digest, binary()}, rsa_digest_type() | dss_digest_type(),
+-spec verify(binary() | {digest, binary()}, rsa_digest_type() | dss_digest_type() | ecdsa_digest_type(),
Signature :: binary(), rsa_public_key()
- | dsa_public_key()) -> boolean().
+ | dsa_public_key() | ec_public_key()) -> boolean().
%% Description: Verifies a digital signature.
%%--------------------------------------------------------------------
-verify({digest,_}=Digest, DigestType, Signature,
+verify(DigestOrPlainText, DigestType, Signature,
#'RSAPublicKey'{modulus = Mod, publicExponent = Exp}) ->
- crypto:rsa_verify(DigestType, Digest,
- sized_binary(Signature),
- [crypto:mpint(Exp), crypto:mpint(Mod)]);
+ crypto:verify(rsa, DigestType, DigestOrPlainText, Signature,
+ [Exp, Mod]);
-verify(PlainText, DigestType, Signature,
- #'RSAPublicKey'{modulus = Mod, publicExponent = Exp}) ->
- crypto:rsa_verify(DigestType,
- sized_binary(PlainText),
- sized_binary(Signature),
- [crypto:mpint(Exp), crypto:mpint(Mod)]);
+verify(DigestOrPlaintext, DigestType, Signature, {#'ECPoint'{point = Point}, Param}) ->
+ ECCurve = ec_curve_spec(Param),
+ crypto:verify(ecdsa, DigestType, DigestOrPlaintext, Signature, [Point, ECCurve]);
-verify({digest,_}=Digest, sha, Signature, {Key, #'Dss-Parms'{p = P, q = Q, g = G}})
- when is_integer(Key), is_binary(Signature) ->
- crypto:dss_verify(Digest, sized_binary(Signature),
- [crypto:mpint(P), crypto:mpint(Q),
- crypto:mpint(G), crypto:mpint(Key)]);
%% Backwards compatibility
verify(Digest, none, Signature, {_, #'Dss-Parms'{}} = Key ) ->
verify({digest,Digest}, sha, Signature, Key);
-verify(PlainText, sha, Signature, {Key, #'Dss-Parms'{p = P, q = Q, g = G}})
- when is_integer(Key), is_binary(PlainText), is_binary(Signature) ->
- crypto:dss_verify(sized_binary(PlainText),
- sized_binary(Signature),
- [crypto:mpint(P), crypto:mpint(Q),
- crypto:mpint(G), crypto:mpint(Key)]).
+verify(DigestOrPlainText, sha = DigestType, Signature, {Key, #'Dss-Parms'{p = P, q = Q, g = G}})
+ when is_integer(Key), is_binary(Signature) ->
+ crypto:verify(dss, DigestType, DigestOrPlainText, Signature, [P, Q, G, Key]).
+
%%--------------------------------------------------------------------
-spec pkix_sign(#'OTPTBSCertificate'{},
rsa_private_key() | dsa_private_key()) -> Der::binary().
@@ -446,7 +453,7 @@ pkix_sign(#'OTPTBSCertificate'{signature =
%%--------------------------------------------------------------------
-spec pkix_verify(Cert::binary(), rsa_public_key()|
- dsa_public_key()) -> boolean().
+ dsa_public_key() | ec_public_key()) -> boolean().
%%
%% Description: Verify pkix x.509 certificate signature.
%%--------------------------------------------------------------------
@@ -458,7 +465,12 @@ pkix_verify(DerCert, {Key, #'Dss-Parms'{}} = DSAKey)
pkix_verify(DerCert, #'RSAPublicKey'{} = RSAKey)
when is_binary(DerCert) ->
{DigestType, PlainText, Signature} = pubkey_cert:verify_data(DerCert),
- verify(PlainText, DigestType, Signature, RSAKey).
+ verify(PlainText, DigestType, Signature, RSAKey);
+
+pkix_verify(DerCert, Key = {#'ECPoint'{}, _})
+ when is_binary(DerCert) ->
+ {DigestType, PlainText, Signature} = pubkey_cert:verify_data(DerCert),
+ verify(PlainText, DigestType, Signature, Key).
%%--------------------------------------------------------------------
-spec pkix_is_issuer(Cert :: der_encoded()| #'OTPCertificate'{} | #'CertificateList'{},
@@ -640,13 +652,11 @@ do_pem_entry_decode({Asn1Type,_, _} = PemEntry, Password) ->
encrypt_public(PlainText, N, E, Options)->
Padding = proplists:get_value(rsa_pad, Options, rsa_pkcs1_padding),
- crypto:rsa_public_encrypt(PlainText, [crypto:mpint(E),crypto:mpint(N)],
- Padding).
+ crypto:public_encrypt(rsa, PlainText, [E,N], Padding).
-decrypt_public(CipherText, N,E, Options) ->
+decrypt_public(CipherText, N,E, Options) ->
Padding = proplists:get_value(rsa_pad, Options, rsa_pkcs1_padding),
- crypto:rsa_public_decrypt(CipherText,[crypto:mpint(E), crypto:mpint(N)],
- Padding).
+ crypto:public_decrypt(rsa, CipherText,[E, N], Padding).
path_validation([], #path_validation_state{working_public_key_algorithm
= Algorithm,
@@ -732,10 +742,6 @@ validate(Cert, #path_validation_state{working_issuer_name = Issuer,
pubkey_cert:prepare_for_next_cert(OtpCert, ValidationState).
-sized_binary(Binary) ->
- Size = size(Binary),
- <<?UINT32(Size), Binary/binary>>.
-
otp_cert(Der) when is_binary(Der) ->
pkix_decode_cert(Der, otp);
otp_cert(#'OTPCertificate'{} =Cert) ->
@@ -842,3 +848,46 @@ combine(CRL, DeltaCRLs) ->
end,
lists:foldl(Fun, hd(Deltas), tl(Deltas))
end.
+
+format_rsa_private_key(#'RSAPrivateKey'{modulus = N, publicExponent = E,
+ privateExponent = D,
+ prime1 = P1, prime2 = P2,
+ exponent1 = E1, exponent2 = E2,
+ coefficient = C})
+ when is_integer(N), is_integer(E), is_integer(D),
+ is_integer(P1), is_integer(P2),
+ is_integer(E1), is_integer(E2), is_integer(C) ->
+ [E, N, D, P1, P2, E1, E2, C];
+
+format_rsa_private_key(#'RSAPrivateKey'{modulus = N, publicExponent = E,
+ privateExponent = D}) when is_integer(N),
+ is_integer(E),
+ is_integer(D) ->
+ [E, N, D].
+
+ec_generate_key(Params) ->
+ Curve = ec_curve_spec(Params),
+ Term = crypto:generate_key(ecdh, Curve),
+ ec_key(Term, Params).
+
+ec_curve_spec( #'ECParameters'{fieldID = FieldId, curve = PCurve, base = Base, order = Order, cofactor = CoFactor }) ->
+ Field = {pubkey_cert_records:supportedCurvesTypes(FieldId#'FieldID'.fieldType),
+ FieldId#'FieldID'.parameters},
+ Curve = {erlang:list_to_binary(PCurve#'Curve'.a), erlang:list_to_binary(PCurve#'Curve'.b), none},
+ {Field, Curve, erlang:list_to_binary(Base), Order, CoFactor};
+ec_curve_spec({namedCurve, OID}) ->
+ pubkey_cert_records:namedCurves(OID).
+
+ec_key({PrivateKey, PubKey}, Params) ->
+ #'ECPrivateKey'{version = 1,
+ privateKey = int2list(PrivateKey),
+ parameters = Params,
+ publicKey = {0, PubKey}}.
+
+list2int(L) ->
+ S = length(L) * 8,
+ <<R:S/integer>> = erlang:iolist_to_binary(L),
+ R.
+int2list(I) ->
+ L = (length(integer_to_list(I, 16)) + 1) div 2,
+ binary_to_list(<<I:(L*8)>>).