mirror of
https://github.com/musix-org/musix-oss
synced 2024-12-23 16:13:18 +00:00
753 lines
19 KiB
JavaScript
753 lines
19 KiB
JavaScript
// Copyright 2017 Joyent, Inc.
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module.exports = {
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read: read,
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verify: verify,
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sign: sign,
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signAsync: signAsync,
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write: write
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};
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var assert = require('assert-plus');
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var asn1 = require('asn1');
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var Buffer = require('safer-buffer').Buffer;
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var algs = require('../algs');
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var utils = require('../utils');
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var Key = require('../key');
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var PrivateKey = require('../private-key');
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var pem = require('./pem');
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var Identity = require('../identity');
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var Signature = require('../signature');
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var Certificate = require('../certificate');
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var pkcs8 = require('./pkcs8');
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/*
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* This file is based on RFC5280 (X.509).
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*/
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/* Helper to read in a single mpint */
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function readMPInt(der, nm) {
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assert.strictEqual(der.peek(), asn1.Ber.Integer,
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nm + ' is not an Integer');
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return (utils.mpNormalize(der.readString(asn1.Ber.Integer, true)));
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}
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function verify(cert, key) {
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var sig = cert.signatures.x509;
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assert.object(sig, 'x509 signature');
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var algParts = sig.algo.split('-');
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if (algParts[0] !== key.type)
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return (false);
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var blob = sig.cache;
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if (blob === undefined) {
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var der = new asn1.BerWriter();
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writeTBSCert(cert, der);
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blob = der.buffer;
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}
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var verifier = key.createVerify(algParts[1]);
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verifier.write(blob);
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return (verifier.verify(sig.signature));
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}
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function Local(i) {
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return (asn1.Ber.Context | asn1.Ber.Constructor | i);
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}
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function Context(i) {
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return (asn1.Ber.Context | i);
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}
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var SIGN_ALGS = {
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'rsa-md5': '1.2.840.113549.1.1.4',
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'rsa-sha1': '1.2.840.113549.1.1.5',
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'rsa-sha256': '1.2.840.113549.1.1.11',
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'rsa-sha384': '1.2.840.113549.1.1.12',
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'rsa-sha512': '1.2.840.113549.1.1.13',
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'dsa-sha1': '1.2.840.10040.4.3',
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'dsa-sha256': '2.16.840.1.101.3.4.3.2',
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'ecdsa-sha1': '1.2.840.10045.4.1',
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'ecdsa-sha256': '1.2.840.10045.4.3.2',
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'ecdsa-sha384': '1.2.840.10045.4.3.3',
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'ecdsa-sha512': '1.2.840.10045.4.3.4',
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'ed25519-sha512': '1.3.101.112'
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};
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Object.keys(SIGN_ALGS).forEach(function (k) {
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SIGN_ALGS[SIGN_ALGS[k]] = k;
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});
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SIGN_ALGS['1.3.14.3.2.3'] = 'rsa-md5';
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SIGN_ALGS['1.3.14.3.2.29'] = 'rsa-sha1';
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var EXTS = {
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'issuerKeyId': '2.5.29.35',
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'altName': '2.5.29.17',
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'basicConstraints': '2.5.29.19',
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'keyUsage': '2.5.29.15',
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'extKeyUsage': '2.5.29.37'
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};
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function read(buf, options) {
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if (typeof (buf) === 'string') {
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buf = Buffer.from(buf, 'binary');
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}
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assert.buffer(buf, 'buf');
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var der = new asn1.BerReader(buf);
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der.readSequence();
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if (Math.abs(der.length - der.remain) > 1) {
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throw (new Error('DER sequence does not contain whole byte ' +
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'stream'));
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}
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var tbsStart = der.offset;
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der.readSequence();
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var sigOffset = der.offset + der.length;
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var tbsEnd = sigOffset;
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if (der.peek() === Local(0)) {
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der.readSequence(Local(0));
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var version = der.readInt();
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assert.ok(version <= 3,
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'only x.509 versions up to v3 supported');
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}
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var cert = {};
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cert.signatures = {};
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var sig = (cert.signatures.x509 = {});
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sig.extras = {};
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cert.serial = readMPInt(der, 'serial');
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der.readSequence();
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var after = der.offset + der.length;
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var certAlgOid = der.readOID();
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var certAlg = SIGN_ALGS[certAlgOid];
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if (certAlg === undefined)
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throw (new Error('unknown signature algorithm ' + certAlgOid));
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der._offset = after;
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cert.issuer = Identity.parseAsn1(der);
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der.readSequence();
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cert.validFrom = readDate(der);
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cert.validUntil = readDate(der);
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cert.subjects = [Identity.parseAsn1(der)];
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der.readSequence();
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after = der.offset + der.length;
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cert.subjectKey = pkcs8.readPkcs8(undefined, 'public', der);
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der._offset = after;
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/* issuerUniqueID */
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if (der.peek() === Local(1)) {
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der.readSequence(Local(1));
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sig.extras.issuerUniqueID =
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buf.slice(der.offset, der.offset + der.length);
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der._offset += der.length;
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}
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/* subjectUniqueID */
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if (der.peek() === Local(2)) {
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der.readSequence(Local(2));
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sig.extras.subjectUniqueID =
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buf.slice(der.offset, der.offset + der.length);
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der._offset += der.length;
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}
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/* extensions */
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if (der.peek() === Local(3)) {
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der.readSequence(Local(3));
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var extEnd = der.offset + der.length;
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der.readSequence();
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while (der.offset < extEnd)
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readExtension(cert, buf, der);
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assert.strictEqual(der.offset, extEnd);
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}
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assert.strictEqual(der.offset, sigOffset);
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der.readSequence();
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after = der.offset + der.length;
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var sigAlgOid = der.readOID();
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var sigAlg = SIGN_ALGS[sigAlgOid];
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if (sigAlg === undefined)
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throw (new Error('unknown signature algorithm ' + sigAlgOid));
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der._offset = after;
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var sigData = der.readString(asn1.Ber.BitString, true);
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if (sigData[0] === 0)
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sigData = sigData.slice(1);
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var algParts = sigAlg.split('-');
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sig.signature = Signature.parse(sigData, algParts[0], 'asn1');
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sig.signature.hashAlgorithm = algParts[1];
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sig.algo = sigAlg;
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sig.cache = buf.slice(tbsStart, tbsEnd);
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return (new Certificate(cert));
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}
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function readDate(der) {
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if (der.peek() === asn1.Ber.UTCTime) {
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return (utcTimeToDate(der.readString(asn1.Ber.UTCTime)));
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} else if (der.peek() === asn1.Ber.GeneralizedTime) {
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return (gTimeToDate(der.readString(asn1.Ber.GeneralizedTime)));
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} else {
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throw (new Error('Unsupported date format'));
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}
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}
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function writeDate(der, date) {
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if (date.getUTCFullYear() >= 2050 || date.getUTCFullYear() < 1950) {
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der.writeString(dateToGTime(date), asn1.Ber.GeneralizedTime);
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} else {
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der.writeString(dateToUTCTime(date), asn1.Ber.UTCTime);
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}
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}
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/* RFC5280, section 4.2.1.6 (GeneralName type) */
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var ALTNAME = {
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OtherName: Local(0),
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RFC822Name: Context(1),
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DNSName: Context(2),
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X400Address: Local(3),
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DirectoryName: Local(4),
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EDIPartyName: Local(5),
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URI: Context(6),
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IPAddress: Context(7),
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OID: Context(8)
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};
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/* RFC5280, section 4.2.1.12 (KeyPurposeId) */
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var EXTPURPOSE = {
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'serverAuth': '1.3.6.1.5.5.7.3.1',
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'clientAuth': '1.3.6.1.5.5.7.3.2',
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'codeSigning': '1.3.6.1.5.5.7.3.3',
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/* See https://github.com/joyent/oid-docs/blob/master/root.md */
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'joyentDocker': '1.3.6.1.4.1.38678.1.4.1',
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'joyentCmon': '1.3.6.1.4.1.38678.1.4.2'
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};
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var EXTPURPOSE_REV = {};
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Object.keys(EXTPURPOSE).forEach(function (k) {
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EXTPURPOSE_REV[EXTPURPOSE[k]] = k;
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});
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var KEYUSEBITS = [
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'signature', 'identity', 'keyEncryption',
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'encryption', 'keyAgreement', 'ca', 'crl'
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];
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function readExtension(cert, buf, der) {
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der.readSequence();
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var after = der.offset + der.length;
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var extId = der.readOID();
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var id;
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var sig = cert.signatures.x509;
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if (!sig.extras.exts)
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sig.extras.exts = [];
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var critical;
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if (der.peek() === asn1.Ber.Boolean)
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critical = der.readBoolean();
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switch (extId) {
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case (EXTS.basicConstraints):
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der.readSequence(asn1.Ber.OctetString);
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der.readSequence();
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var bcEnd = der.offset + der.length;
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var ca = false;
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if (der.peek() === asn1.Ber.Boolean)
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ca = der.readBoolean();
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if (cert.purposes === undefined)
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cert.purposes = [];
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if (ca === true)
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cert.purposes.push('ca');
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var bc = { oid: extId, critical: critical };
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if (der.offset < bcEnd && der.peek() === asn1.Ber.Integer)
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bc.pathLen = der.readInt();
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sig.extras.exts.push(bc);
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break;
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case (EXTS.extKeyUsage):
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der.readSequence(asn1.Ber.OctetString);
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der.readSequence();
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if (cert.purposes === undefined)
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cert.purposes = [];
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var ekEnd = der.offset + der.length;
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while (der.offset < ekEnd) {
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var oid = der.readOID();
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cert.purposes.push(EXTPURPOSE_REV[oid] || oid);
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}
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/*
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* This is a bit of a hack: in the case where we have a cert
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* that's only allowed to do serverAuth or clientAuth (and not
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* the other), we want to make sure all our Subjects are of
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* the right type. But we already parsed our Subjects and
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* decided if they were hosts or users earlier (since it appears
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* first in the cert).
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*
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* So we go through and mutate them into the right kind here if
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* it doesn't match. This might not be hugely beneficial, as it
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* seems that single-purpose certs are not often seen in the
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* wild.
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*/
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if (cert.purposes.indexOf('serverAuth') !== -1 &&
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cert.purposes.indexOf('clientAuth') === -1) {
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cert.subjects.forEach(function (ide) {
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if (ide.type !== 'host') {
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ide.type = 'host';
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ide.hostname = ide.uid ||
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ide.email ||
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ide.components[0].value;
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}
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});
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} else if (cert.purposes.indexOf('clientAuth') !== -1 &&
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cert.purposes.indexOf('serverAuth') === -1) {
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cert.subjects.forEach(function (ide) {
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if (ide.type !== 'user') {
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ide.type = 'user';
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ide.uid = ide.hostname ||
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ide.email ||
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ide.components[0].value;
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}
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});
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}
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sig.extras.exts.push({ oid: extId, critical: critical });
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break;
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case (EXTS.keyUsage):
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der.readSequence(asn1.Ber.OctetString);
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var bits = der.readString(asn1.Ber.BitString, true);
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var setBits = readBitField(bits, KEYUSEBITS);
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setBits.forEach(function (bit) {
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if (cert.purposes === undefined)
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cert.purposes = [];
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if (cert.purposes.indexOf(bit) === -1)
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cert.purposes.push(bit);
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});
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sig.extras.exts.push({ oid: extId, critical: critical,
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bits: bits });
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break;
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case (EXTS.altName):
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der.readSequence(asn1.Ber.OctetString);
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der.readSequence();
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var aeEnd = der.offset + der.length;
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while (der.offset < aeEnd) {
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switch (der.peek()) {
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case ALTNAME.OtherName:
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case ALTNAME.EDIPartyName:
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der.readSequence();
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der._offset += der.length;
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break;
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case ALTNAME.OID:
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der.readOID(ALTNAME.OID);
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break;
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case ALTNAME.RFC822Name:
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/* RFC822 specifies email addresses */
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var email = der.readString(ALTNAME.RFC822Name);
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id = Identity.forEmail(email);
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if (!cert.subjects[0].equals(id))
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cert.subjects.push(id);
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break;
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case ALTNAME.DirectoryName:
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der.readSequence(ALTNAME.DirectoryName);
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id = Identity.parseAsn1(der);
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if (!cert.subjects[0].equals(id))
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cert.subjects.push(id);
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break;
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case ALTNAME.DNSName:
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var host = der.readString(
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ALTNAME.DNSName);
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id = Identity.forHost(host);
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if (!cert.subjects[0].equals(id))
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cert.subjects.push(id);
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break;
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default:
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der.readString(der.peek());
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break;
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}
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}
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sig.extras.exts.push({ oid: extId, critical: critical });
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break;
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default:
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sig.extras.exts.push({
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oid: extId,
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critical: critical,
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data: der.readString(asn1.Ber.OctetString, true)
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});
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break;
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}
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der._offset = after;
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}
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var UTCTIME_RE =
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/^([0-9]{2})([0-9]{2})([0-9]{2})([0-9]{2})([0-9]{2})([0-9]{2})?Z$/;
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function utcTimeToDate(t) {
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var m = t.match(UTCTIME_RE);
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assert.ok(m, 'timestamps must be in UTC');
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var d = new Date();
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var thisYear = d.getUTCFullYear();
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var century = Math.floor(thisYear / 100) * 100;
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var year = parseInt(m[1], 10);
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if (thisYear % 100 < 50 && year >= 60)
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year += (century - 1);
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else
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year += century;
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d.setUTCFullYear(year, parseInt(m[2], 10) - 1, parseInt(m[3], 10));
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d.setUTCHours(parseInt(m[4], 10), parseInt(m[5], 10));
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if (m[6] && m[6].length > 0)
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d.setUTCSeconds(parseInt(m[6], 10));
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return (d);
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}
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var GTIME_RE =
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/^([0-9]{4})([0-9]{2})([0-9]{2})([0-9]{2})([0-9]{2})([0-9]{2})?Z$/;
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function gTimeToDate(t) {
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var m = t.match(GTIME_RE);
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assert.ok(m);
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var d = new Date();
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d.setUTCFullYear(parseInt(m[1], 10), parseInt(m[2], 10) - 1,
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parseInt(m[3], 10));
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d.setUTCHours(parseInt(m[4], 10), parseInt(m[5], 10));
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if (m[6] && m[6].length > 0)
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d.setUTCSeconds(parseInt(m[6], 10));
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return (d);
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}
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function zeroPad(n, m) {
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if (m === undefined)
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m = 2;
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var s = '' + n;
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while (s.length < m)
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s = '0' + s;
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return (s);
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}
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function dateToUTCTime(d) {
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var s = '';
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s += zeroPad(d.getUTCFullYear() % 100);
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s += zeroPad(d.getUTCMonth() + 1);
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s += zeroPad(d.getUTCDate());
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s += zeroPad(d.getUTCHours());
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s += zeroPad(d.getUTCMinutes());
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s += zeroPad(d.getUTCSeconds());
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s += 'Z';
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return (s);
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}
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function dateToGTime(d) {
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var s = '';
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s += zeroPad(d.getUTCFullYear(), 4);
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s += zeroPad(d.getUTCMonth() + 1);
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s += zeroPad(d.getUTCDate());
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s += zeroPad(d.getUTCHours());
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s += zeroPad(d.getUTCMinutes());
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s += zeroPad(d.getUTCSeconds());
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s += 'Z';
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return (s);
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}
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function sign(cert, key) {
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if (cert.signatures.x509 === undefined)
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cert.signatures.x509 = {};
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var sig = cert.signatures.x509;
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sig.algo = key.type + '-' + key.defaultHashAlgorithm();
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if (SIGN_ALGS[sig.algo] === undefined)
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return (false);
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var der = new asn1.BerWriter();
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writeTBSCert(cert, der);
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var blob = der.buffer;
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sig.cache = blob;
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var signer = key.createSign();
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signer.write(blob);
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cert.signatures.x509.signature = signer.sign();
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return (true);
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}
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function signAsync(cert, signer, done) {
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if (cert.signatures.x509 === undefined)
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cert.signatures.x509 = {};
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var sig = cert.signatures.x509;
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var der = new asn1.BerWriter();
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writeTBSCert(cert, der);
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var blob = der.buffer;
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sig.cache = blob;
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signer(blob, function (err, signature) {
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if (err) {
|
|
done(err);
|
|
return;
|
|
}
|
|
sig.algo = signature.type + '-' + signature.hashAlgorithm;
|
|
if (SIGN_ALGS[sig.algo] === undefined) {
|
|
done(new Error('Invalid signing algorithm "' +
|
|
sig.algo + '"'));
|
|
return;
|
|
}
|
|
sig.signature = signature;
|
|
done();
|
|
});
|
|
}
|
|
|
|
function write(cert, options) {
|
|
var sig = cert.signatures.x509;
|
|
assert.object(sig, 'x509 signature');
|
|
|
|
var der = new asn1.BerWriter();
|
|
der.startSequence();
|
|
if (sig.cache) {
|
|
der._ensure(sig.cache.length);
|
|
sig.cache.copy(der._buf, der._offset);
|
|
der._offset += sig.cache.length;
|
|
} else {
|
|
writeTBSCert(cert, der);
|
|
}
|
|
|
|
der.startSequence();
|
|
der.writeOID(SIGN_ALGS[sig.algo]);
|
|
if (sig.algo.match(/^rsa-/))
|
|
der.writeNull();
|
|
der.endSequence();
|
|
|
|
var sigData = sig.signature.toBuffer('asn1');
|
|
var data = Buffer.alloc(sigData.length + 1);
|
|
data[0] = 0;
|
|
sigData.copy(data, 1);
|
|
der.writeBuffer(data, asn1.Ber.BitString);
|
|
der.endSequence();
|
|
|
|
return (der.buffer);
|
|
}
|
|
|
|
function writeTBSCert(cert, der) {
|
|
var sig = cert.signatures.x509;
|
|
assert.object(sig, 'x509 signature');
|
|
|
|
der.startSequence();
|
|
|
|
der.startSequence(Local(0));
|
|
der.writeInt(2);
|
|
der.endSequence();
|
|
|
|
der.writeBuffer(utils.mpNormalize(cert.serial), asn1.Ber.Integer);
|
|
|
|
der.startSequence();
|
|
der.writeOID(SIGN_ALGS[sig.algo]);
|
|
if (sig.algo.match(/^rsa-/))
|
|
der.writeNull();
|
|
der.endSequence();
|
|
|
|
cert.issuer.toAsn1(der);
|
|
|
|
der.startSequence();
|
|
writeDate(der, cert.validFrom);
|
|
writeDate(der, cert.validUntil);
|
|
der.endSequence();
|
|
|
|
var subject = cert.subjects[0];
|
|
var altNames = cert.subjects.slice(1);
|
|
subject.toAsn1(der);
|
|
|
|
pkcs8.writePkcs8(der, cert.subjectKey);
|
|
|
|
if (sig.extras && sig.extras.issuerUniqueID) {
|
|
der.writeBuffer(sig.extras.issuerUniqueID, Local(1));
|
|
}
|
|
|
|
if (sig.extras && sig.extras.subjectUniqueID) {
|
|
der.writeBuffer(sig.extras.subjectUniqueID, Local(2));
|
|
}
|
|
|
|
if (altNames.length > 0 || subject.type === 'host' ||
|
|
(cert.purposes !== undefined && cert.purposes.length > 0) ||
|
|
(sig.extras && sig.extras.exts)) {
|
|
der.startSequence(Local(3));
|
|
der.startSequence();
|
|
|
|
var exts = [];
|
|
if (cert.purposes !== undefined && cert.purposes.length > 0) {
|
|
exts.push({
|
|
oid: EXTS.basicConstraints,
|
|
critical: true
|
|
});
|
|
exts.push({
|
|
oid: EXTS.keyUsage,
|
|
critical: true
|
|
});
|
|
exts.push({
|
|
oid: EXTS.extKeyUsage,
|
|
critical: true
|
|
});
|
|
}
|
|
exts.push({ oid: EXTS.altName });
|
|
if (sig.extras && sig.extras.exts)
|
|
exts = sig.extras.exts;
|
|
|
|
for (var i = 0; i < exts.length; ++i) {
|
|
der.startSequence();
|
|
der.writeOID(exts[i].oid);
|
|
|
|
if (exts[i].critical !== undefined)
|
|
der.writeBoolean(exts[i].critical);
|
|
|
|
if (exts[i].oid === EXTS.altName) {
|
|
der.startSequence(asn1.Ber.OctetString);
|
|
der.startSequence();
|
|
if (subject.type === 'host') {
|
|
der.writeString(subject.hostname,
|
|
Context(2));
|
|
}
|
|
for (var j = 0; j < altNames.length; ++j) {
|
|
if (altNames[j].type === 'host') {
|
|
der.writeString(
|
|
altNames[j].hostname,
|
|
ALTNAME.DNSName);
|
|
} else if (altNames[j].type ===
|
|
'email') {
|
|
der.writeString(
|
|
altNames[j].email,
|
|
ALTNAME.RFC822Name);
|
|
} else {
|
|
/*
|
|
* Encode anything else as a
|
|
* DN style name for now.
|
|
*/
|
|
der.startSequence(
|
|
ALTNAME.DirectoryName);
|
|
altNames[j].toAsn1(der);
|
|
der.endSequence();
|
|
}
|
|
}
|
|
der.endSequence();
|
|
der.endSequence();
|
|
} else if (exts[i].oid === EXTS.basicConstraints) {
|
|
der.startSequence(asn1.Ber.OctetString);
|
|
der.startSequence();
|
|
var ca = (cert.purposes.indexOf('ca') !== -1);
|
|
var pathLen = exts[i].pathLen;
|
|
der.writeBoolean(ca);
|
|
if (pathLen !== undefined)
|
|
der.writeInt(pathLen);
|
|
der.endSequence();
|
|
der.endSequence();
|
|
} else if (exts[i].oid === EXTS.extKeyUsage) {
|
|
der.startSequence(asn1.Ber.OctetString);
|
|
der.startSequence();
|
|
cert.purposes.forEach(function (purpose) {
|
|
if (purpose === 'ca')
|
|
return;
|
|
if (KEYUSEBITS.indexOf(purpose) !== -1)
|
|
return;
|
|
var oid = purpose;
|
|
if (EXTPURPOSE[purpose] !== undefined)
|
|
oid = EXTPURPOSE[purpose];
|
|
der.writeOID(oid);
|
|
});
|
|
der.endSequence();
|
|
der.endSequence();
|
|
} else if (exts[i].oid === EXTS.keyUsage) {
|
|
der.startSequence(asn1.Ber.OctetString);
|
|
/*
|
|
* If we parsed this certificate from a byte
|
|
* stream (i.e. we didn't generate it in sshpk)
|
|
* then we'll have a ".bits" property on the
|
|
* ext with the original raw byte contents.
|
|
*
|
|
* If we have this, use it here instead of
|
|
* regenerating it. This guarantees we output
|
|
* the same data we parsed, so signatures still
|
|
* validate.
|
|
*/
|
|
if (exts[i].bits !== undefined) {
|
|
der.writeBuffer(exts[i].bits,
|
|
asn1.Ber.BitString);
|
|
} else {
|
|
var bits = writeBitField(cert.purposes,
|
|
KEYUSEBITS);
|
|
der.writeBuffer(bits,
|
|
asn1.Ber.BitString);
|
|
}
|
|
der.endSequence();
|
|
} else {
|
|
der.writeBuffer(exts[i].data,
|
|
asn1.Ber.OctetString);
|
|
}
|
|
|
|
der.endSequence();
|
|
}
|
|
|
|
der.endSequence();
|
|
der.endSequence();
|
|
}
|
|
|
|
der.endSequence();
|
|
}
|
|
|
|
/*
|
|
* Reads an ASN.1 BER bitfield out of the Buffer produced by doing
|
|
* `BerReader#readString(asn1.Ber.BitString)`. That function gives us the raw
|
|
* contents of the BitString tag, which is a count of unused bits followed by
|
|
* the bits as a right-padded byte string.
|
|
*
|
|
* `bits` is the Buffer, `bitIndex` should contain an array of string names
|
|
* for the bits in the string, ordered starting with bit #0 in the ASN.1 spec.
|
|
*
|
|
* Returns an array of Strings, the names of the bits that were set to 1.
|
|
*/
|
|
function readBitField(bits, bitIndex) {
|
|
var bitLen = 8 * (bits.length - 1) - bits[0];
|
|
var setBits = {};
|
|
for (var i = 0; i < bitLen; ++i) {
|
|
var byteN = 1 + Math.floor(i / 8);
|
|
var bit = 7 - (i % 8);
|
|
var mask = 1 << bit;
|
|
var bitVal = ((bits[byteN] & mask) !== 0);
|
|
var name = bitIndex[i];
|
|
if (bitVal && typeof (name) === 'string') {
|
|
setBits[name] = true;
|
|
}
|
|
}
|
|
return (Object.keys(setBits));
|
|
}
|
|
|
|
/*
|
|
* `setBits` is an array of strings, containing the names for each bit that
|
|
* sould be set to 1. `bitIndex` is same as in `readBitField()`.
|
|
*
|
|
* Returns a Buffer, ready to be written out with `BerWriter#writeString()`.
|
|
*/
|
|
function writeBitField(setBits, bitIndex) {
|
|
var bitLen = bitIndex.length;
|
|
var blen = Math.ceil(bitLen / 8);
|
|
var unused = blen * 8 - bitLen;
|
|
var bits = Buffer.alloc(1 + blen); // zero-filled
|
|
bits[0] = unused;
|
|
for (var i = 0; i < bitLen; ++i) {
|
|
var byteN = 1 + Math.floor(i / 8);
|
|
var bit = 7 - (i % 8);
|
|
var mask = 1 << bit;
|
|
var name = bitIndex[i];
|
|
if (name === undefined)
|
|
continue;
|
|
var bitVal = (setBits.indexOf(name) !== -1);
|
|
if (bitVal) {
|
|
bits[byteN] |= mask;
|
|
}
|
|
}
|
|
return (bits);
|
|
}
|