%% %% %CopyrightBegin% %% %% Copyright Ericsson AB 2008-2016. All Rights Reserved. %% %% Licensed under the Apache License, Version 2.0 (the "License"); %% you may not use this file except in compliance with the License. %% You may obtain a copy of the License at %% %% http://www.apache.org/licenses/LICENSE-2.0 %% %% Unless required by applicable law or agreed to in writing, software %% distributed under the License is distributed on an "AS IS" BASIS, %% WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. %% See the License for the specific language governing permissions and %% limitations under the License. %% %% %CopyrightEnd% %% %% -module(public_key_SUITE). -include_lib("common_test/include/ct.hrl"). -include_lib("public_key/include/public_key.hrl"). %% Note: This directive should only be used in test suites. -compile(export_all). -define(TIMEOUT, 120000). % 2 min %%-------------------------------------------------------------------- %% Common Test interface functions ----------------------------------- %%-------------------------------------------------------------------- suite() -> [{ct_hooks,[ts_install_cth]}]. all() -> [app, appup, {group, pem_decode_encode}, {group, ssh_public_key_decode_encode}, encrypt_decrypt, {group, sign_verify}, pkix, pkix_countryname, pkix_emailaddress, pkix_path_validation, pkix_iso_rsa_oid, pkix_iso_dsa_oid, pkix_crl]. groups() -> [{pem_decode_encode, [], [dsa_pem, rsa_pem, ec_pem, encrypted_pem, dh_pem, cert_pem, pkcs7_pem, pkcs10_pem]}, {ssh_public_key_decode_encode, [], [ssh_rsa_public_key, ssh_dsa_public_key, ssh_ecdsa_public_key, ssh_rfc4716_rsa_comment, ssh_rfc4716_dsa_comment, ssh_rfc4716_rsa_subject, ssh_known_hosts, ssh_auth_keys, ssh1_known_hosts, ssh1_auth_keys, ssh_openssh_public_key_with_comment, ssh_openssh_public_key_long_header]}, {sign_verify, [], [rsa_sign_verify, dsa_sign_verify]} ]. %%------------------------------------------------------------------- init_per_suite(Config) -> application:stop(crypto), try crypto:start() of ok -> application:start(asn1), Config catch _:_ -> {skip, "Crypto did not start"} end. end_per_suite(_Config) -> application:stop(asn1), application:stop(crypto). %%------------------------------------------------------------------- init_per_group(_GroupName, Config) -> Config. end_per_group(_GroupName, Config) -> Config. %%------------------------------------------------------------------- init_per_testcase(_TestCase, Config0) -> Config = lists:keydelete(watchdog, 1, Config0), Dog = ct:timetrap(?TIMEOUT), [{watchdog, Dog} | Config]. end_per_testcase(_TestCase, _Config) -> ok. %%-------------------------------------------------------------------- %% Test Cases -------------------------------------------------------- %%-------------------------------------------------------------------- app() -> [{doc, "Test that the public_key app file is ok"}]. app(Config) when is_list(Config) -> ok = ?t:app_test(public_key). %%-------------------------------------------------------------------- appup() -> [{doc, "Test that the public_key appup file is ok"}]. appup(Config) when is_list(Config) -> ok = ?t:appup_test(public_key). %%-------------------------------------------------------------------- dsa_pem() -> [{doc, "DSA PEM-file decode/encode"}]. dsa_pem(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), [{'DSAPrivateKey', DerDSAKey, not_encrypted} = Entry0 ] = erl_make_certs:pem_to_der(filename:join(Datadir, "dsa.pem")), DSAKey = public_key:der_decode('DSAPrivateKey', DerDSAKey), DSAKey = public_key:pem_entry_decode(Entry0), {ok, DSAPubPem} = file:read_file(filename:join(Datadir, "dsa_pub.pem")), [{'SubjectPublicKeyInfo', _, _} = PubEntry0] = public_key:pem_decode(DSAPubPem), DSAPubKey = public_key:pem_entry_decode(PubEntry0), true = check_entry_type(DSAPubKey, 'DSAPublicKey'), PubEntry0 = public_key:pem_entry_encode('SubjectPublicKeyInfo', DSAPubKey), DSAPubPemNoEndNewLines = strip_superfluous_newlines(DSAPubPem), DSAPubPemNoEndNewLines = strip_superfluous_newlines(public_key:pem_encode([PubEntry0])). %%-------------------------------------------------------------------- rsa_pem() -> [{doc, "RSA PEM-file decode/encode"}]. rsa_pem(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), [{'RSAPrivateKey', DerRSAKey, not_encrypted} = Entry0 ] = erl_make_certs:pem_to_der(filename:join(Datadir, "client_key.pem")), RSAKey0 = public_key:der_decode('RSAPrivateKey', DerRSAKey), RSAKey0 = public_key:pem_entry_decode(Entry0), [{'RSAPrivateKey', _, {_,_}} = Entry1] = erl_make_certs:pem_to_der(filename:join(Datadir, "rsa.pem")), true = check_entry_type(public_key:pem_entry_decode(Entry1, "abcd1234"), 'RSAPrivateKey'), {ok, RSAPubPem} = file:read_file(filename:join(Datadir, "rsa_pub.pem")), [{'SubjectPublicKeyInfo', _, _} = PubEntry0] = public_key:pem_decode(RSAPubPem), RSAPubKey = public_key:pem_entry_decode(PubEntry0), true = check_entry_type(RSAPubKey, 'RSAPublicKey'), PubEntry0 = public_key:pem_entry_encode('SubjectPublicKeyInfo', RSAPubKey), RSAPubPemNoEndNewLines = strip_superfluous_newlines(RSAPubPem), RSAPubPemNoEndNewLines = strip_superfluous_newlines(public_key:pem_encode([PubEntry0])), {ok, RSARawPem} = file:read_file(filename:join(Datadir, "rsa_pub_key.pem")), [{'RSAPublicKey', _, _} = PubEntry1] = public_key:pem_decode(RSARawPem), RSAPubKey = public_key:pem_entry_decode(PubEntry1), RSARawPemNoEndNewLines = strip_superfluous_newlines(RSARawPem), RSARawPemNoEndNewLines = strip_superfluous_newlines(public_key:pem_encode([PubEntry1])). %%-------------------------------------------------------------------- ec_pem() -> [{doc, "EC key PEM-file decode/encode"}]. ec_pem(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), {ok, ECPubPem} = file:read_file(filename:join(Datadir, "ec_pubkey.pem")), [{'SubjectPublicKeyInfo', _, _} = PubEntry0] = public_key:pem_decode(ECPubPem), ECPubKey = public_key:pem_entry_decode(PubEntry0), true = check_entry_type(ECPubKey, 'ECPoint'), PubEntry0 = public_key:pem_entry_encode('SubjectPublicKeyInfo', ECPubKey), ECPubPemNoEndNewLines = strip_superfluous_newlines(ECPubPem), ECPubPemNoEndNewLines = strip_superfluous_newlines(public_key:pem_encode([PubEntry0])), {ok, ECPrivPem} = file:read_file(filename:join(Datadir, "ec_key.pem")), [{'EcpkParameters', _, not_encrypted} = Entry1, {'ECPrivateKey', _, not_encrypted} = Entry2] = public_key:pem_decode(ECPrivPem), ECParams = public_key:pem_entry_decode(Entry1), true = check_entry_type(ECParams, 'EcpkParameters'), ECPrivKey = public_key:pem_entry_decode(Entry2), true = check_entry_type(ECPrivKey, 'ECPrivateKey'), ECPemNoEndNewLines = strip_superfluous_newlines(ECPrivPem), ECPemNoEndNewLines = strip_superfluous_newlines(public_key:pem_encode([Entry1, Entry2])). %%-------------------------------------------------------------------- encrypted_pem() -> [{doc, "Encrypted PEM-file decode/encode"}]. encrypted_pem(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), [{'RSAPrivateKey', DerRSAKey, not_encrypted}] = erl_make_certs:pem_to_der(filename:join(Datadir, "client_key.pem")), RSAKey = public_key:der_decode('RSAPrivateKey', DerRSAKey), Salt0 = crypto:rand_bytes(8), Entry0 = public_key:pem_entry_encode('RSAPrivateKey', RSAKey, {{"DES-EDE3-CBC", Salt0}, "1234abcd"}), RSAKey = public_key:pem_entry_decode(Entry0,"1234abcd"), Des3KeyFile = filename:join(Datadir, "des3_client_key.pem"), erl_make_certs:der_to_pem(Des3KeyFile, [Entry0]), [{'RSAPrivateKey', _, {"DES-EDE3-CBC", Salt0}}] = erl_make_certs:pem_to_der(Des3KeyFile), Salt1 = crypto:rand_bytes(8), Entry1 = public_key:pem_entry_encode('RSAPrivateKey', RSAKey, {{"DES-CBC", Salt1}, "4567efgh"}), DesKeyFile = filename:join(Datadir, "des_client_key.pem"), erl_make_certs:der_to_pem(DesKeyFile, [Entry1]), [{'RSAPrivateKey', _, {"DES-CBC", Salt1}} =Entry2] = erl_make_certs:pem_to_der(DesKeyFile), {ok, Pem} = file:read_file(DesKeyFile), check_encapsulated_header(Pem), true = check_entry_type(public_key:pem_entry_decode(Entry2, "4567efgh"), 'RSAPrivateKey'). %%-------------------------------------------------------------------- dh_pem() -> [{doc, "DH parametrs PEM-file decode/encode"}]. dh_pem(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), [{'DHParameter', _DerDH, not_encrypted} = Entry] = erl_make_certs:pem_to_der(filename:join(Datadir, "dh.pem")), asn1_encode_decode(Entry). %%-------------------------------------------------------------------- pkcs10_pem() -> [{doc, "PKCS-10 PEM-file decode/encode"}]. pkcs10_pem(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), [{'CertificationRequest', _DerPKCS10, not_encrypted} = Entry] = erl_make_certs:pem_to_der(filename:join(Datadir, "req.pem")), asn1_encode_decode(Entry). %%-------------------------------------------------------------------- pkcs7_pem() -> [{doc, "PKCS-7 PEM-file decode/encode"}]. pkcs7_pem(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), [{'ContentInfo', _, not_encrypted} = Entry0] = erl_make_certs:pem_to_der(filename:join(Datadir, "pkcs7_cert.pem")), [{'ContentInfo', _, not_encrypted} = Entry1] = erl_make_certs:pem_to_der(filename:join(Datadir, "pkcs7_ext.pem")), asn1_encode_decode(Entry0), asn1_encode_decode(Entry1). %%-------------------------------------------------------------------- cert_pem() -> [{doc, "Certificate PEM-file decode/encode"}]. cert_pem(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), [{'Certificate', _, not_encrypted} = Entry0] = erl_make_certs:pem_to_der(filename:join(Datadir, "client_cert.pem")), asn1_encode_decode(Entry0), [{'Certificate', _, not_encrypted} = Entry1, {'Certificate', _, not_encrypted} = Entry2] = erl_make_certs:pem_to_der(filename:join(Datadir, "cacerts.pem")), asn1_encode_decode(Entry1), asn1_encode_decode(Entry2). %%-------------------------------------------------------------------- ssh_rsa_public_key() -> [{doc, "ssh rsa public key decode/encode"}]. ssh_rsa_public_key(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), {ok, RSARawSsh2} = file:read_file(filename:join(Datadir, "ssh2_rsa_pub")), [{PubKey, Attributes1}] = public_key:ssh_decode(RSARawSsh2, public_key), [{PubKey, Attributes1}] = public_key:ssh_decode(RSARawSsh2, rfc4716_public_key), {ok, RSARawOpenSsh} = file:read_file(filename:join(Datadir, "openssh_rsa_pub")), [{PubKey, Attributes2}] = public_key:ssh_decode(RSARawOpenSsh, public_key), [{PubKey, Attributes2}] = public_key:ssh_decode(RSARawOpenSsh, openssh_public_key), %% Can not check EncodedSSh == RSARawSsh2 and EncodedOpenSsh %% = RSARawOpenSsh as line breakpoints may differ EncodedSSh = public_key:ssh_encode([{PubKey, Attributes1}], rfc4716_public_key), EncodedOpenSsh = public_key:ssh_encode([{PubKey, Attributes2}], openssh_public_key), [{PubKey, Attributes1}] = public_key:ssh_decode(EncodedSSh, public_key), [{PubKey, Attributes2}] = public_key:ssh_decode(EncodedOpenSsh, public_key). %%-------------------------------------------------------------------- ssh_dsa_public_key() -> [{doc, "ssh dsa public key decode/encode"}]. ssh_dsa_public_key(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), {ok, DSARawSsh2} = file:read_file(filename:join(Datadir, "ssh2_dsa_pub")), [{PubKey, Attributes1}] = public_key:ssh_decode(DSARawSsh2, public_key), [{PubKey, Attributes1}] = public_key:ssh_decode(DSARawSsh2, rfc4716_public_key), {ok, DSARawOpenSsh} = file:read_file(filename:join(Datadir, "openssh_dsa_pub")), [{PubKey, Attributes2}] = public_key:ssh_decode(DSARawOpenSsh, public_key), [{PubKey, Attributes2}] = public_key:ssh_decode(DSARawOpenSsh, openssh_public_key), %% Can not check EncodedSSh == DSARawSsh2 and EncodedOpenSsh %% = DSARawOpenSsh as line breakpoints may differ EncodedSSh = public_key:ssh_encode([{PubKey, Attributes1}], rfc4716_public_key), EncodedOpenSsh = public_key:ssh_encode([{PubKey, Attributes2}], openssh_public_key), [{PubKey, Attributes1}] = public_key:ssh_decode(EncodedSSh, public_key), [{PubKey, Attributes2}] = public_key:ssh_decode(EncodedOpenSsh, public_key). %%-------------------------------------------------------------------- ssh_ecdsa_public_key() -> [{doc, "ssh ecdsa public key decode/encode"}]. ssh_ecdsa_public_key(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), {ok, ECDSARawSsh2} = file:read_file(filename:join(Datadir, "ssh2_ecdsa_pub")), [{PubKey, Attributes1}] = public_key:ssh_decode(ECDSARawSsh2, public_key), [{PubKey, Attributes1}] = public_key:ssh_decode(ECDSARawSsh2, rfc4716_public_key), {ok, ECDSARawOpenSsh} = file:read_file(filename:join(Datadir, "openssh_ecdsa_pub")), [{PubKey, Attributes2}] = public_key:ssh_decode(ECDSARawOpenSsh, public_key), [{PubKey, Attributes2}] = public_key:ssh_decode(ECDSARawOpenSsh, openssh_public_key), %% Can not check EncodedSSh == ECDSARawSsh2 and EncodedOpenSsh %% = ECDSARawOpenSsh as line breakpoints may differ EncodedSSh = public_key:ssh_encode([{PubKey, Attributes1}], rfc4716_public_key), EncodedOpenSsh = public_key:ssh_encode([{PubKey, Attributes2}], openssh_public_key), [{PubKey, Attributes1}] = public_key:ssh_decode(EncodedSSh, public_key), [{PubKey, Attributes2}] = public_key:ssh_decode(EncodedOpenSsh, public_key). %%-------------------------------------------------------------------- ssh_rfc4716_rsa_comment() -> [{doc, "Test comment header and rsa key"}]. ssh_rfc4716_rsa_comment(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), {ok, RSARawSsh2} = file:read_file(filename:join(Datadir, "ssh2_rsa_comment_pub")), [{#'RSAPublicKey'{} = PubKey, Attributes}] = public_key:ssh_decode(RSARawSsh2, public_key), Headers = proplists:get_value(headers, Attributes), Value = proplists:get_value("Comment", Headers, undefined), true = Value =/= undefined, RSARawSsh2 = public_key:ssh_encode([{PubKey, Attributes}], rfc4716_public_key). %%-------------------------------------------------------------------- ssh_rfc4716_dsa_comment() -> [{doc, "Test comment header and dsa key"}]. ssh_rfc4716_dsa_comment(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), {ok, DSARawSsh2} = file:read_file(filename:join(Datadir, "ssh2_dsa_comment_pub")), [{{_, #'Dss-Parms'{}} = PubKey, Attributes}] = public_key:ssh_decode(DSARawSsh2, public_key), Headers = proplists:get_value(headers, Attributes), Value = proplists:get_value("Comment", Headers, undefined), true = Value =/= undefined, %% Can not check Encoded == DSARawSsh2 as line continuation breakpoints may differ Encoded = public_key:ssh_encode([{PubKey, Attributes}], rfc4716_public_key), [{PubKey, Attributes}] = public_key:ssh_decode(Encoded, public_key). %%-------------------------------------------------------------------- ssh_rfc4716_rsa_subject() -> [{doc, "Test another header value than comment"}]. ssh_rfc4716_rsa_subject(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), {ok, RSARawSsh2} = file:read_file(filename:join(Datadir, "ssh2_subject_pub")), [{#'RSAPublicKey'{} = PubKey, Attributes}] = public_key:ssh_decode(RSARawSsh2, public_key), Headers = proplists:get_value(headers, Attributes), Value = proplists:get_value("Subject", Headers, undefined), true = Value =/= undefined, %% Can not check Encoded == RSARawSsh2 as line continuation breakpoints may differ Encoded = public_key:ssh_encode([{PubKey, Attributes}], rfc4716_public_key), [{PubKey, Attributes}] = public_key:ssh_decode(Encoded, public_key). %%-------------------------------------------------------------------- ssh_known_hosts() -> [{doc, "ssh known hosts file encode/decode"}]. ssh_known_hosts(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), {ok, SshKnownHosts} = file:read_file(filename:join(Datadir, "known_hosts")), [{#'RSAPublicKey'{}, Attributes1}, {#'RSAPublicKey'{}, Attributes2}, {#'RSAPublicKey'{}, Attributes3}, {#'RSAPublicKey'{}, Attributes4}] = Decoded = public_key:ssh_decode(SshKnownHosts, known_hosts), Comment1 = undefined, Comment2 = "foo@bar.com", Comment3 = "Comment with whitespaces", Comment4 = "foo@bar.com Comment with whitespaces", Comment1 = proplists:get_value(comment, Attributes1, undefined), Comment2 = proplists:get_value(comment, Attributes2), Comment3 = proplists:get_value(comment, Attributes3), Comment4 = proplists:get_value(comment, Attributes4), Value1 = proplists:get_value(hostnames, Attributes1, undefined), Value2 = proplists:get_value(hostnames, Attributes2, undefined), true = (Value1 =/= undefined) and (Value2 =/= undefined), Encoded = public_key:ssh_encode(Decoded, known_hosts), Decoded = public_key:ssh_decode(Encoded, known_hosts). %%-------------------------------------------------------------------- ssh1_known_hosts() -> [{doc, "ssh (ver 1) known hosts file encode/decode"}]. ssh1_known_hosts(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), {ok, SshKnownHosts} = file:read_file(filename:join(Datadir, "ssh1_known_hosts")), [{#'RSAPublicKey'{}, Attributes1}, {#'RSAPublicKey'{}, Attributes2},{#'RSAPublicKey'{}, Attributes3}] = Decoded = public_key:ssh_decode(SshKnownHosts, known_hosts), Value1 = proplists:get_value(hostnames, Attributes1, undefined), Value2 = proplists:get_value(hostnames, Attributes2, undefined), true = (Value1 =/= undefined) and (Value2 =/= undefined), Comment ="dhopson@VMUbuntu-DSH comment with whitespaces", Comment = proplists:get_value(comment, Attributes3), Encoded = public_key:ssh_encode(Decoded, known_hosts), Decoded = public_key:ssh_decode(Encoded, known_hosts). %%-------------------------------------------------------------------- ssh_auth_keys() -> [{doc, "ssh authorized keys file encode/decode"}]. ssh_auth_keys(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), {ok, SshAuthKeys} = file:read_file(filename:join(Datadir, "auth_keys")), [{#'RSAPublicKey'{}, Attributes1}, {{_, #'Dss-Parms'{}}, Attributes2}, {#'RSAPublicKey'{}, Attributes3}, {{_, #'Dss-Parms'{}}, Attributes4} ] = Decoded = public_key:ssh_decode(SshAuthKeys, auth_keys), Value1 = proplists:get_value(options, Attributes1, undefined), true = Value1 =/= undefined, Comment1 = Comment2 = "dhopson@VMUbuntu-DSH", Comment3 = Comment4 ="dhopson@VMUbuntu-DSH comment with whitespaces", Comment1 = proplists:get_value(comment, Attributes1), Comment2 = proplists:get_value(comment, Attributes2), Comment3 = proplists:get_value(comment, Attributes3), Comment4 = proplists:get_value(comment, Attributes4), Encoded = public_key:ssh_encode(Decoded, auth_keys), Decoded = public_key:ssh_decode(Encoded, auth_keys). %%-------------------------------------------------------------------- ssh1_auth_keys() -> [{doc, "ssh (ver 1) authorized keys file encode/decode"}]. ssh1_auth_keys(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), {ok, SshAuthKeys} = file:read_file(filename:join(Datadir, "ssh1_auth_keys")), [{#'RSAPublicKey'{}, Attributes1}, {#'RSAPublicKey'{}, Attributes2}, {#'RSAPublicKey'{}, Attributes3}, {#'RSAPublicKey'{}, Attributes4}, {#'RSAPublicKey'{}, Attributes5}] = Decoded = public_key:ssh_decode(SshAuthKeys, auth_keys), Value1 = proplists:get_value(bits, Attributes2, undefined), Value2 = proplists:get_value(bits, Attributes3, undefined), true = (Value1 =/= undefined) and (Value2 =/= undefined), Comment2 = Comment3 = "dhopson@VMUbuntu-DSH", Comment4 = Comment5 ="dhopson@VMUbuntu-DSH comment with whitespaces", undefined = proplists:get_value(comment, Attributes1, undefined), Comment2 = proplists:get_value(comment, Attributes2), Comment3 = proplists:get_value(comment, Attributes3), Comment4 = proplists:get_value(comment, Attributes4), Comment5 = proplists:get_value(comment, Attributes5), Encoded = public_key:ssh_encode(Decoded, auth_keys), Decoded = public_key:ssh_decode(Encoded, auth_keys). %%-------------------------------------------------------------------- ssh_openssh_public_key_with_comment() -> [{doc, "Test that emty lines and lines starting with # are ignored"}]. ssh_openssh_public_key_with_comment(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), {ok, DSARawOpenSsh} = file:read_file(filename:join(Datadir, "openssh_dsa_with_comment_pub")), [{{_, #'Dss-Parms'{}}, _}] = public_key:ssh_decode(DSARawOpenSsh, openssh_public_key). %%-------------------------------------------------------------------- ssh_openssh_public_key_long_header() -> [{doc, "Test that long headers are handled"}]. ssh_openssh_public_key_long_header(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), {ok,RSARawOpenSsh} = file:read_file(filename:join(Datadir, "ssh_rsa_long_header_pub")), [{#'RSAPublicKey'{}, _}] = Decoded = public_key:ssh_decode(RSARawOpenSsh, public_key), Encoded = public_key:ssh_encode(Decoded, rfc4716_public_key), Decoded = public_key:ssh_decode(Encoded, rfc4716_public_key). %%-------------------------------------------------------------------- encrypt_decrypt() -> [{doc, "Test public_key:encrypt_private and public_key:decrypt_public"}]. encrypt_decrypt(Config) when is_list(Config) -> {PrivateKey, _DerKey} = erl_make_certs:gen_rsa(64), #'RSAPrivateKey'{modulus=Mod, publicExponent=Exp} = PrivateKey, PublicKey = #'RSAPublicKey'{modulus=Mod, publicExponent=Exp}, Msg = list_to_binary(lists:duplicate(5, "Foo bar 100")), RsaEncrypted = public_key:encrypt_private(Msg, PrivateKey), Msg = public_key:decrypt_public(RsaEncrypted, PublicKey), Msg = public_key:decrypt_public(RsaEncrypted, PrivateKey), RsaEncrypted2 = public_key:encrypt_public(Msg, PublicKey), RsaEncrypted3 = public_key:encrypt_public(Msg, PrivateKey), Msg = public_key:decrypt_private(RsaEncrypted2, PrivateKey), Msg = public_key:decrypt_private(RsaEncrypted3, PrivateKey), ok. %%-------------------------------------------------------------------- rsa_sign_verify() -> [{doc, "Checks that we can sign and verify rsa signatures."}]. rsa_sign_verify(Config) when is_list(Config) -> Ca = {_, CaKey} = erl_make_certs:make_cert([]), {Cert1, _} = erl_make_certs:make_cert([{key, dsa}, {issuer, Ca}]), PrivateRSA = #'RSAPrivateKey'{modulus=Mod, publicExponent=Exp} = public_key:pem_entry_decode(CaKey), PublicRSA = #'RSAPublicKey'{modulus=Mod, publicExponent=Exp}, true = public_key:pkix_verify(Cert1, PublicRSA), Msg = list_to_binary(lists:duplicate(5, "Foo bar 100")), RSASign = public_key:sign(Msg, sha, PrivateRSA), true = public_key:verify(Msg, sha, RSASign, PublicRSA), false = public_key:verify(<<1:8, Msg/binary>>, sha, RSASign, PublicRSA), false = public_key:verify(Msg, sha, <<1:8, RSASign/binary>>, PublicRSA), RSASign1 = public_key:sign(Msg, md5, PrivateRSA), true = public_key:verify(Msg, md5, RSASign1, PublicRSA). %%-------------------------------------------------------------------- dsa_sign_verify() -> [{doc, "Checks that we can sign and verify dsa signatures."}]. dsa_sign_verify(Config) when is_list(Config) -> Ca = erl_make_certs:make_cert([]), CertInfo = {_,CertKey1} = erl_make_certs:make_cert([{key, dsa}, {issuer, Ca}]), {Cert2,_CertKey} = erl_make_certs:make_cert([{issuer, CertInfo}]), #'DSAPrivateKey'{p=P, q=Q, g=G, y=Y, x=_X} = public_key:pem_entry_decode(CertKey1), true = public_key:pkix_verify(Cert2, {Y, #'Dss-Parms'{p=P, q=Q, g=G}}), Datadir = ?config(data_dir, Config), [DsaKey = {'DSAPrivateKey', _, _}] = erl_make_certs:pem_to_der(filename:join(Datadir, "dsa.pem")), DSAPrivateKey = public_key:pem_entry_decode(DsaKey), #'DSAPrivateKey'{p=P1, q=Q1, g=G1, y=Y1, x=_X1} = DSAPrivateKey, Msg = list_to_binary(lists:duplicate(5, "Foo bar 100")), DSASign = public_key:sign(Msg, sha, DSAPrivateKey), DSAPublicKey = Y1, DSAParams = #'Dss-Parms'{p=P1, q=Q1, g=G1}, true = public_key:verify(Msg, sha, DSASign, {DSAPublicKey, DSAParams}), false = public_key:verify(<<1:8, Msg/binary>>, sha, DSASign, {DSAPublicKey, DSAParams}), false = public_key:verify(Msg, sha, <<1:8, DSASign/binary>>, {DSAPublicKey, DSAParams}), Digest = crypto:hash(sha,Msg), DigestSign = public_key:sign(Digest, none, DSAPrivateKey), true = public_key:verify(Digest, none, DigestSign, {DSAPublicKey, DSAParams}), <<_:8, RestDigest/binary>> = Digest, false = public_key:verify(<<1:8, RestDigest/binary>>, none, DigestSign, {DSAPublicKey, DSAParams}), false = public_key:verify(Digest, none, <<1:8, DigestSign/binary>>, {DSAPublicKey, DSAParams}). %%-------------------------------------------------------------------- pkix() -> [{doc, "Misc pkix tests not covered elsewhere"}]. pkix(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), Certs0 = erl_make_certs:pem_to_der(filename:join(Datadir, "cacerts.pem")), Certs1 = erl_make_certs:pem_to_der(filename:join(Datadir, "client_cert.pem")), TestTransform = fun({'Certificate', CertDer, not_encrypted}) -> PlainCert = public_key:pkix_decode_cert(CertDer, plain), OtpCert = public_key:pkix_decode_cert(CertDer, otp), CertDer = public_key:pkix_encode('OTPCertificate', OtpCert, otp), CertDer = public_key:pkix_encode('Certificate', PlainCert, plain), OTPTBS = OtpCert#'OTPCertificate'.tbsCertificate, OTPSubj = OTPTBS#'OTPTBSCertificate'.subject, DNEncoded = public_key:pkix_encode('Name', OTPSubj, otp), PlainTBS = PlainCert#'Certificate'.tbsCertificate, Subj2 = PlainTBS#'TBSCertificate'.subject, DNEncoded = public_key:pkix_encode('Name', Subj2, plain), false = public_key:pkix_is_fixed_dh_cert(CertDer) end, [TestTransform(Cert) || Cert <- Certs0 ++ Certs1], true = public_key:pkix_is_self_signed(element(2,hd(Certs0))), false = public_key:pkix_is_self_signed(element(2,hd(Certs1))), CaIds = [element(2, public_key:pkix_issuer_id(Cert, self)) || {'Certificate', Cert, _} <- Certs0], {ok, IssuerId = {_, _IssuerName}} = public_key:pkix_issuer_id(element(2,hd(Certs1)), other), true = lists:member(IssuerId, CaIds), %% Should be normalized allready TestStr = {rdnSequence, [[{'AttributeTypeAndValue', {2,5,4,3},{printableString,"ERLANGCA"}}], [{'AttributeTypeAndValue', {2,5,4,3},{printableString," erlang ca "}}]]}, VerifyStr = {rdnSequence, [[{'AttributeTypeAndValue', {2,5,4,3},{printableString,"erlangca"}}], [{'AttributeTypeAndValue', {2,5,4,3},{printableString,"erlang ca"}}]]}, VerifyStr = public_key:pkix_normalize_name(TestStr), ok. %%-------------------------------------------------------------------- pkix_countryname() -> [{doc, "Test workaround for certs that code x509countryname as utf8"}]. pkix_countryname(Config) when is_list(Config) -> Cert = incorrect_countryname_pkix_cert(), OTPCert = public_key:pkix_decode_cert(Cert, otp), TBSCert = OTPCert#'OTPCertificate'.tbsCertificate, Issuer = TBSCert#'OTPTBSCertificate'.issuer, Subj = TBSCert#'OTPTBSCertificate'.subject, check_countryname(Issuer), check_countryname(Subj). %%-------------------------------------------------------------------- pkix_emailaddress() -> [{doc, "Test workaround for certs that code emailAddress as utf8"}]. pkix_emailaddress(Config) when is_list(Config) -> Cert = incorrect_emailaddress_pkix_cert(), OTPCert = public_key:pkix_decode_cert(Cert, otp), TBSCert = OTPCert#'OTPCertificate'.tbsCertificate, Issuer = TBSCert#'OTPTBSCertificate'.issuer, Subj = TBSCert#'OTPTBSCertificate'.subject, check_emailaddress(Issuer), check_emailaddress(Subj). %%-------------------------------------------------------------------- pkix_path_validation() -> [{doc, "Test PKIX path validation"}]. pkix_path_validation(Config) when is_list(Config) -> CaK = {Trusted,_} = erl_make_certs:make_cert([{key, dsa}, {subject, [ {name, "Public Key"}, {?'id-at-name', {printableString, "public_key"}}, {?'id-at-pseudonym', {printableString, "pubkey"}}, {city, "Stockholm"}, {country, "SE"}, {org, "erlang"}, {org_unit, "testing dep"} ]} ]), ok = erl_make_certs:write_pem("./", "public_key_cacert", CaK), CertK1 = {Cert1, _} = erl_make_certs:make_cert([{issuer, CaK}]), CertK2 = {Cert2,_} = erl_make_certs:make_cert([{issuer, CertK1}, {digest, md5}, {extensions, false}]), ok = erl_make_certs:write_pem("./", "public_key_cert", CertK2), {ok, _} = public_key:pkix_path_validation(Trusted, [Cert1], []), {error, {bad_cert,invalid_issuer}} = public_key:pkix_path_validation(Trusted, [Cert2], []), {ok, _} = public_key:pkix_path_validation(Trusted, [Cert1, Cert2], []), {error, issuer_not_found} = public_key:pkix_issuer_id(Cert2, other), CertK3 = {Cert3,_} = erl_make_certs:make_cert([{issuer, CertK1}, {extensions, [{basic_constraints, false}]}]), {Cert4,_} = erl_make_certs:make_cert([{issuer, CertK3}, {extensions, [{key_usage, undefined}]}]), {error, {bad_cert,missing_basic_constraint}} = public_key:pkix_path_validation(Trusted, [Cert1, Cert3,Cert4], []), VerifyFunAndState0 = {fun(_,{bad_cert, missing_basic_constraint}, UserState) -> {valid, UserState}; (_,{bad_cert, _} = Reason, _) -> {fail, Reason}; (_,{extension, _}, UserState) -> {unknown, UserState}; (_, valid, UserState) -> {valid, UserState}; (_, valid_peer, UserState) -> {valid, UserState} end, []}, {ok, _} = public_key:pkix_path_validation(Trusted, [Cert1, Cert3,Cert4], [{verify_fun, VerifyFunAndState0}]), {error, {bad_cert, unknown_ca}} = public_key:pkix_path_validation(unknown_ca, [Cert1, Cert3, Cert4], []), VerifyFunAndState1 = {fun(_,{bad_cert, unknown_ca}, UserState) -> {valid, UserState}; (_,{bad_cert, _} = Reason, _) -> {fail, Reason}; (_,{extension, _}, UserState) -> {unknown, UserState}; (_, valid, UserState) -> {valid, UserState} end, []}, {ok, _} = public_key:pkix_path_validation(unknown_ca, [Cert1], [{verify_fun, VerifyFunAndState1}]), ok. %%-------------------------------------------------------------------- pkix_iso_rsa_oid() -> [{doc, "Test workaround for supporting certs that use ISO oids" " 1.3.14.3.2.29 instead of PKIX/PKCS oid"}]. pkix_iso_rsa_oid(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), {ok, PemCert} = file:read_file(filename:join(Datadir, "rsa_ISO.pem")), [{_, Cert, _}] = public_key:pem_decode(PemCert), OTPCert = public_key:pkix_decode_cert(Cert, otp), SigAlg = OTPCert#'OTPCertificate'.signatureAlgorithm, {_, rsa} = public_key:pkix_sign_types(SigAlg#'SignatureAlgorithm'.algorithm). %%-------------------------------------------------------------------- pkix_iso_dsa_oid() -> [{doc, "Test workaround for supporting certs that use ISO oids" "1.3.14.3.2.27 instead of PKIX/PKCS oid"}]. pkix_iso_dsa_oid(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), {ok, PemCert} = file:read_file(filename:join(Datadir, "dsa_ISO.pem")), [{_, Cert, _}] = public_key:pem_decode(PemCert), OTPCert = public_key:pkix_decode_cert(Cert, otp), SigAlg = OTPCert#'OTPCertificate'.signatureAlgorithm, {_, dsa} = public_key:pkix_sign_types(SigAlg#'SignatureAlgorithm'.algorithm). %%-------------------------------------------------------------------- pkix_crl() -> [{doc, "test pkix_crl_* functions"}]. pkix_crl(Config) when is_list(Config) -> Datadir = ?config(data_dir, Config), {ok, PemCRL} = file:read_file(filename:join(Datadir, "idp_crl.pem")), [{_, CRL, _}] = public_key:pem_decode(PemCRL), {ok, IDPPemCert} = file:read_file(filename:join(Datadir, "idp_cert.pem")), [{_, IDPCert, _}] = public_key:pem_decode(IDPPemCert), {ok, SignPemCert} = file:read_file(filename:join(Datadir, "crl_signer.pem")), [{_, SignCert, _}] = public_key:pem_decode(SignPemCert), OTPIDPCert = public_key:pkix_decode_cert(IDPCert, otp), OTPSignCert = public_key:pkix_decode_cert(SignCert, otp), ERLCRL = public_key:der_decode('CertificateList',CRL), {rdnSequence,_} = public_key:pkix_crl_issuer(CRL), {rdnSequence,_} = public_key:pkix_crl_issuer(ERLCRL), true = public_key:pkix_crl_verify(CRL, SignCert), true = public_key:pkix_crl_verify(ERLCRL, OTPSignCert), [#'DistributionPoint'{}|_] = public_key:pkix_dist_points(IDPCert), [#'DistributionPoint'{}|_] = public_key:pkix_dist_points(OTPIDPCert), #'DistributionPoint'{cRLIssuer = asn1_NOVALUE, reasons = asn1_NOVALUE, distributionPoint = Point} = public_key:pkix_dist_point(IDPCert), #'DistributionPoint'{cRLIssuer = asn1_NOVALUE, reasons = asn1_NOVALUE, distributionPoint = Point} = public_key:pkix_dist_point(OTPIDPCert). %%-------------------------------------------------------------------- %% Internal functions ------------------------------------------------ %%-------------------------------------------------------------------- asn1_encode_decode({Asn1Type, Der, not_encrypted} = Entry) -> Decoded = public_key:der_decode(Asn1Type, Der), Decoded = public_key:pem_entry_decode(Entry), Entry = public_key:pem_entry_encode(Asn1Type, Decoded), ok. check_countryname({rdnSequence,DirName}) -> do_check_countryname(DirName). do_check_countryname([]) -> ok; do_check_countryname([#'AttributeTypeAndValue'{type = ?'id-at-countryName', value = "US"}|_]) -> ok; do_check_countryname([#'AttributeTypeAndValue'{type = ?'id-at-countryName', value = Value}|_]) -> ct:fail({incorrect_country_name, Value}); do_check_countryname([_| Rest]) -> do_check_countryname(Rest). check_emailaddress({rdnSequence,DirName}) -> do_check_emailaddress(DirName). do_check_emailaddress([]) -> ok; do_check_emailaddress([#'AttributeTypeAndValue'{type = ?'id-emailAddress', value = "invalid@email.com"}|_]) -> ok; do_check_emailaddress([#'AttributeTypeAndValue'{type = ?'id-emailAddress', value = Value}|_]) -> ct:fail({incorrect_email_address, Value}); do_check_emailaddress([_| Rest]) -> do_check_emailaddress(Rest). check_entry_type(#'DSAPrivateKey'{}, 'DSAPrivateKey') -> true; check_entry_type(#'RSAPrivateKey'{}, 'RSAPrivateKey') -> true; check_entry_type(#'RSAPublicKey'{}, 'RSAPublicKey') -> true; check_entry_type({_Int, #'Dss-Parms'{}}, 'DSAPublicKey') when is_integer(_Int) -> true; check_entry_type(#'DHParameter'{}, 'DHParameter') -> true; check_entry_type(#'Certificate'{}, 'Certificate') -> true; check_entry_type({#'ECPoint'{}, _}, 'ECPoint') -> true; check_entry_type(#'ECPrivateKey'{}, 'ECPrivateKey') -> true; check_entry_type({namedCurve, _}, 'EcpkParameters') -> true; check_entry_type(#'ECParameters'{}, 'EcpkParameters') -> true; check_entry_type(_,_) -> false. check_encapsulated_header(Pem) when is_binary(Pem)-> check_encapsulated_header( binary:split(Pem, <<"\n">>, [global])); check_encapsulated_header([<<"DEK-Info: DES-CBC,FB7577791A9056A1">>, <<>> | _]) -> true; check_encapsulated_header([ _ | Rest]) -> check_encapsulated_header(Rest); check_encapsulated_header([]) -> false. strip_superfluous_newlines(Bin) -> Str = string:strip(binary_to_list(Bin), right, 10), re:replace(Str,"\n\n","\n", [{return,list}, global]). incorrect_countryname_pkix_cert() -> <<48,130,5,186,48,130,4,162,160,3,2,1,2,2,7,7,250,61,63,6,140,137,48,13,6,9,42, 134,72,134,247,13,1,1,5,5,0,48,129,220,49,11,48,9,6,3,85,4,6,19,2,85,83,49, 16,48,14,6,3,85,4,8,19,7,65,114,105,122,111,110,97,49,19,48,17,6,3,85,4,7,19, 10,83,99,111,116,116,115,100,97,108,101,49,37,48,35,6,3,85,4,10,19,28,83,116, 97,114,102,105,101,108,100,32,84,101,99,104,110,111,108,111,103,105,101,115, 44,32,73,110,99,46,49,57,48,55,6,3,85,4,11,19,48,104,116,116,112,58,47,47,99, 101,114,116,105,102,105,99,97,116,101,115,46,115,116,97,114,102,105,101,108, 100,116,101,99,104,46,99,111,109,47,114,101,112,111,115,105,116,111,114,121, 49,49,48,47,6,3,85,4,3,19,40,83,116,97,114,102,105,101,108,100,32,83,101,99, 117,114,101,32,67,101,114,116,105,102,105,99,97,116,105,111,110,32,65,117, 116,104,111,114,105,116,121,49,17,48,15,6,3,85,4,5,19,8,49,48,54,56,56,52,51, 53,48,30,23,13,49,48,49,48,50,51,48,49,51,50,48,53,90,23,13,49,50,49,48,50, 51,48,49,51,50,48,53,90,48,122,49,11,48,9,6,3,85,4,6,12,2,85,83,49,11,48,9,6, 3,85,4,8,12,2,65,90,49,19,48,17,6,3,85,4,7,12,10,83,99,111,116,116,115,100, 97,108,101,49,38,48,36,6,3,85,4,10,12,29,83,112,101,99,105,97,108,32,68,111, 109,97,105,110,32,83,101,114,118,105,99,101,115,44,32,73,110,99,46,49,33,48, 31,6,3,85,4,3,12,24,42,46,108,111,103,105,110,46,115,101,99,117,114,101,115, 101,114,118,101,114,46,110,101,116,48,130,1,34,48,13,6,9,42,134,72,134,247, 13,1,1,1,5,0,3,130,1,15,0,48,130,1,10,2,130,1,1,0,185,136,240,80,141,36,124, 245,182,130,73,19,188,74,166,117,72,228,185,209,43,129,244,40,44,193,231,11, 209,12,234,88,43,142,1,162,48,122,17,95,230,105,171,131,12,147,46,204,36,80, 250,171,33,253,35,62,83,22,71,212,186,141,14,198,89,89,121,204,224,122,246, 127,110,188,229,162,67,95,6,74,231,127,99,131,7,240,85,102,203,251,50,58,58, 104,245,103,181,183,134,32,203,121,232,54,32,188,139,136,112,166,126,14,91, 223,153,172,164,14,61,38,163,208,215,186,210,136,213,143,70,147,173,109,217, 250,169,108,31,211,104,238,103,93,182,59,165,43,196,189,218,241,30,148,240, 109,90,69,176,194,52,116,173,151,135,239,10,209,179,129,192,102,75,11,25,168, 223,32,174,84,223,134,70,167,55,172,143,27,130,123,226,226,7,34,142,166,39, 48,246,96,231,150,84,220,106,133,193,55,95,159,227,24,249,64,36,1,142,171,16, 202,55,126,7,156,15,194,22,116,53,113,174,104,239,203,120,45,131,57,87,84, 163,184,27,83,57,199,91,200,34,43,98,61,180,144,76,65,170,177,2,3,1,0,1,163, 130,1,224,48,130,1,220,48,15,6,3,85,29,19,1,1,255,4,5,48,3,1,1,0,48,29,6,3, 85,29,37,4,22,48,20,6,8,43,6,1,5,5,7,3,1,6,8,43,6,1,5,5,7,3,2,48,14,6,3,85, 29,15,1,1,255,4,4,3,2,5,160,48,56,6,3,85,29,31,4,49,48,47,48,45,160,43,160, 41,134,39,104,116,116,112,58,47,47,99,114,108,46,115,116,97,114,102,105,101, 108,100,116,101,99,104,46,99,111,109,47,115,102,115,50,45,48,46,99,114,108, 48,83,6,3,85,29,32,4,76,48,74,48,72,6,11,96,134,72,1,134,253,110,1,7,23,2,48, 57,48,55,6,8,43,6,1,5,5,7,2,1,22,43,104,116,116,112,115,58,47,47,99,101,114, 116,115,46,115,116,97,114,102,105,101,108,100,116,101,99,104,46,99,111,109, 47,114,101,112,111,115,105,116,111,114,121,47,48,129,141,6,8,43,6,1,5,5,7,1, 1,4,129,128,48,126,48,42,6,8,43,6,1,5,5,7,48,1,134,30,104,116,116,112,58,47, 47,111,99,115,112,46,115,116,97,114,102,105,101,108,100,116,101,99,104,46,99, 111,109,47,48,80,6,8,43,6,1,5,5,7,48,2,134,68,104,116,116,112,58,47,47,99, 101,114,116,105,102,105,99,97,116,101,115,46,115,116,97,114,102,105,101,108, 100,116,101,99,104,46,99,111,109,47,114,101,112,111,115,105,116,111,114,121, 47,115,102,95,105,110,116,101,114,109,101,100,105,97,116,101,46,99,114,116, 48,31,6,3,85,29,35,4,24,48,22,128,20,73,75,82,39,209,27,188,242,161,33,106, 98,123,81,66,122,138,215,213,86,48,59,6,3,85,29,17,4,52,48,50,130,24,42,46, 108,111,103,105,110,46,115,101,99,117,114,101,115,101,114,118,101,114,46,110, 101,116,130,22,108,111,103,105,110,46,115,101,99,117,114,101,115,101,114,118, 101,114,46,110,101,116,48,29,6,3,85,29,14,4,22,4,20,138,233,191,208,157,203, 249,85,242,239,20,195,48,10,148,49,144,101,255,116,48,13,6,9,42,134,72,134, 247,13,1,1,5,5,0,3,130,1,1,0,82,31,121,162,49,50,143,26,167,202,143,61,71, 189,201,199,57,81,122,116,90,192,88,24,102,194,174,48,157,74,27,87,210,223, 253,93,3,91,150,109,120,1,110,27,11,200,198,141,222,246,14,200,71,105,41,138, 13,114,122,106,63,17,197,181,234,121,61,89,74,65,41,231,248,219,129,83,176, 219,55,107,55,211,112,98,38,49,69,77,96,221,108,123,152,12,210,159,157,141, 43,226,55,187,129,3,82,49,136,66,81,196,91,234,196,10,82,48,6,80,163,83,71, 127,102,177,93,209,129,26,104,2,84,24,255,248,161,3,244,169,234,92,122,110, 43,4,17,113,185,235,108,219,210,236,132,216,177,227,17,169,58,162,159,182, 162,93,160,229,200,9,163,229,110,121,240,168,232,14,91,214,188,196,109,210, 164,222,0,109,139,132,113,91,16,118,173,178,176,80,132,34,41,199,51,206,250, 224,132,60,115,192,94,107,163,219,212,226,225,65,169,148,108,213,46,174,173, 103,110,189,229,166,149,254,31,51,44,144,108,187,182,11,251,201,206,86,138, 208,59,51,86,132,235,81,225,88,34,190,8,184>>. incorrect_emailaddress_pkix_cert() -> <<48,130,3,74,48,130,2,50,2,9,0,133,49,203,25,198,156,252,230,48,13,6,9,42,134, 72,134,247,13,1,1,5,5,0,48,103,49,11,48,9,6,3,85,4,6,19,2,65,85,49,19,48,17, 6,3,85,4,8,12,10,83,111,109,101,45,83,116,97,116,101,49,33,48,31,6,3,85,4,10, 12,24,73,110,116,101,114,110,101,116,32,87,105,100,103,105,116,115,32,80,116, 121,32,76,116,100,49,32,48,30,6,9,42,134,72,134,247,13,1,9,1,12,17,105,110, 118,97,108,105,100,64,101,109,97,105,108,46,99,111,109,48,30,23,13,49,51,49, 49,48,55,50,48,53,54,49,56,90,23,13,49,52,49,49,48,55,50,48,53,54,49,56,90, 48,103,49,11,48,9,6,3,85,4,6,19,2,65,85,49,19,48,17,6,3,85,4,8,12,10,83,111, 109,101,45,83,116,97,116,101,49,33,48,31,6,3,85,4,10,12,24,73,110,116,101, 114,110,101,116,32,87,105,100,103,105,116,115,32,80,116,121,32,76,116,100,49, 32,48,30,6,9,42,134,72,134,247,13,1,9,1,12,17,105,110,118,97,108,105,100,64, 101,109,97,105,108,46,99,111,109,48,130,1,34,48,13,6,9,42,134,72,134,247,13, 1,1,1,5,0,3,130,1,15,0,48,130,1,10,2,130,1,1,0,190,243,49,213,219,60,232,105, 1,127,126,9,130,15,60,190,78,100,148,235,246,223,21,91,238,200,251,84,55,212, 78,32,120,61,85,172,0,144,248,5,165,29,143,79,64,178,51,153,203,76,115,238, 192,49,173,37,121,203,89,62,157,13,181,166,30,112,154,40,202,140,104,211,157, 73,244,9,78,236,70,153,195,158,233,141,42,238,2,143,160,225,249,27,30,140, 151,176,43,211,87,114,164,108,69,47,39,195,123,185,179,219,28,218,122,53,83, 77,48,81,184,14,91,243,12,62,146,86,210,248,228,171,146,225,87,51,146,155, 116,112,238,212,36,111,58,41,67,27,6,61,61,3,84,150,126,214,121,57,38,12,87, 121,67,244,37,45,145,234,131,115,134,58,194,5,36,166,52,59,229,32,47,152,80, 237,190,58,182,248,98,7,165,198,211,5,31,231,152,116,31,108,71,218,64,188, 178,143,27,167,79,15,112,196,103,116,212,65,197,94,37,4,132,103,91,217,73, 223,207,185,7,153,221,240,232,31,44,102,108,82,83,56,242,210,214,74,71,246, 177,217,148,227,220,230,4,176,226,74,194,37,2,3,1,0,1,48,13,6,9,42,134,72, 134,247,13,1,1,5,5,0,3,130,1,1,0,89,247,141,154,173,123,123,203,143,85,28,79, 73,37,164,6,17,89,171,224,149,22,134,17,198,146,158,192,241,41,253,58,230, 133,71,189,43,66,123,88,15,242,119,227,249,99,137,61,200,54,161,0,177,167, 169,114,80,148,90,22,97,78,162,181,75,93,209,116,245,46,81,232,64,157,93,136, 52,57,229,113,197,218,113,93,42,161,213,104,205,137,30,144,183,58,10,98,47, 227,177,96,40,233,98,150,209,217,68,22,221,133,27,161,152,237,46,36,179,59, 172,97,134,194,205,101,137,71,192,57,153,20,114,27,173,233,166,45,56,0,61, 205,45,202,139,7,132,103,248,193,157,184,123,43,62,172,236,110,49,62,209,78, 249,83,219,133,1,213,143,73,174,16,113,143,189,41,84,60,128,222,30,177,104, 134,220,52,239,171,76,59,176,36,113,176,214,118,16,44,235,21,167,199,216,200, 76,219,142,248,13,70,145,205,216,230,226,148,97,223,216,179,68,209,222,63, 140,137,24,164,192,149,194,79,119,247,75,159,49,116,70,241,70,116,11,40,119, 176,157,36,160,102,140,255,34,248,25,231,136,59>>.