/* global describe, it */ var assert = require('assert') var async = require('async') var bigi = require('bigi') var bitcoin = require('../../') var blockchain = require('./_blockchain') var ecurve = require('ecurve') var secp256k1 = ecurve.getCurveByName('secp256k1') describe('bitcoinjs-lib (crypto)', function () { it('can recover a private key from duplicate R values', function (done) { this.timeout(30000) var inputs = [ { txId: 'f4c16475f2a6e9c602e4a287f9db3040e319eb9ece74761a4b84bc820fbeef50', vout: 0 }, { txId: 'f4c16475f2a6e9c602e4a287f9db3040e319eb9ece74761a4b84bc820fbeef50', vout: 1 } ] var txIds = inputs.map(function (x) { return x.txId }) // first retrieve the relevant transactions blockchain.m.transactions.get(txIds, function (err, results) { assert.ifError(err) var transactions = {} results.forEach(function (tx) { transactions[tx.txId] = bitcoin.Transaction.fromHex(tx.txHex) }) var tasks = [] // now we need to collect/transform a bit of data from the selected inputs inputs.forEach(function (input) { var transaction = transactions[input.txId] var script = transaction.ins[input.vout].script var scriptChunks = bitcoin.script.decompile(script) assert(bitcoin.script.pubKeyHash.input.check(scriptChunks), 'Expected pubKeyHash script') var prevOutTxId = Buffer.from(transaction.ins[input.vout].hash).reverse().toString('hex') var prevVout = transaction.ins[input.vout].index tasks.push(function (callback) { blockchain.m.transactions.get(prevOutTxId, function (err, result) { if (err) return callback(err) var prevOut = bitcoin.Transaction.fromHex(result.txHex) var prevOutScript = prevOut.outs[prevVout].script var scriptSignature = bitcoin.ECSignature.parseScriptSignature(scriptChunks[0]) var publicKey = bitcoin.ECPair.fromPublicKeyBuffer(scriptChunks[1]) var m = transaction.hashForSignature(input.vout, prevOutScript, scriptSignature.hashType) assert(publicKey.verify(m, scriptSignature.signature), 'Invalid m') // store the required information input.signature = scriptSignature.signature input.z = bigi.fromBuffer(m) return callback() }) }) }) // finally, run the tasks, then on to the math async.parallel(tasks, function (err) { if (err) throw err var n = secp256k1.n for (var i = 0; i < inputs.length; ++i) { for (var j = i + 1; j < inputs.length; ++j) { var inputA = inputs[i] var inputB = inputs[j] // enforce matching r values assert.strictEqual(inputA.signature.r.toString(), inputB.signature.r.toString()) var r = inputA.signature.r var rInv = r.modInverse(n) var s1 = inputA.signature.s var s2 = inputB.signature.s var z1 = inputA.z var z2 = inputB.z var zz = z1.subtract(z2).mod(n) var ss = s1.subtract(s2).mod(n) // k = (z1 - z2) / (s1 - s2) // d1 = (s1 * k - z1) / r // d2 = (s2 * k - z2) / r var k = zz.multiply(ss.modInverse(n)).mod(n) var d1 = ((s1.multiply(k).mod(n)).subtract(z1).mod(n)).multiply(rInv).mod(n) var d2 = ((s2.multiply(k).mod(n)).subtract(z2).mod(n)).multiply(rInv).mod(n) // enforce matching private keys assert.strictEqual(d1.toString(), d2.toString()) } } done() }) }) }) })