// Copyright (c) 2012-2016 The Bitcoin Core developers // Distributed under the MIT software license, see the accompanying // file COPYING or http://www.opensource.org/licenses/mit-license.php. #include "wallet/wallet.h" #include #include #include #include #include "rpc/server.h" #include "test/test_bitcoin.h" #include "validation.h" #include "wallet/test/wallet_test_fixture.h" #include #include #include extern UniValue importmulti(const JSONRPCRequest& request); // how many times to run all the tests to have a chance to catch errors that only show up with particular random shuffles #define RUN_TESTS 100 // some tests fail 1% of the time due to bad luck. // we repeat those tests this many times and only complain if all iterations of the test fail #define RANDOM_REPEATS 5 std::vector> wtxn; typedef std::set CoinSet; BOOST_FIXTURE_TEST_SUITE(wallet_tests, WalletTestingSetup) static const CWallet testWallet; static std::vector vCoins; static void add_coin(const CAmount& nValue, int nAge = 6*24, bool fIsFromMe = false, int nInput=0) { static int nextLockTime = 0; CMutableTransaction tx; tx.nLockTime = nextLockTime++; // so all transactions get different hashes tx.vout.resize(nInput+1); tx.vout[nInput].nValue = nValue; if (fIsFromMe) { // IsFromMe() returns (GetDebit() > 0), and GetDebit() is 0 if vin.empty(), // so stop vin being empty, and cache a non-zero Debit to fake out IsFromMe() tx.vin.resize(1); } std::unique_ptr wtx(new CWalletTx(&testWallet, MakeTransactionRef(std::move(tx)))); if (fIsFromMe) { wtx->fDebitCached = true; wtx->nDebitCached = 1; } COutput output(wtx.get(), nInput, nAge, true /* spendable */, true /* solvable */, true /* safe */); vCoins.push_back(output); wtxn.emplace_back(std::move(wtx)); } static void empty_wallet(void) { vCoins.clear(); wtxn.clear(); } static bool equal_sets(CoinSet a, CoinSet b) { std::pair ret = mismatch(a.begin(), a.end(), b.begin()); return ret.first == a.end() && ret.second == b.end(); } BOOST_AUTO_TEST_CASE(coin_selection_tests) { CoinSet setCoinsRet, setCoinsRet2; CAmount nValueRet; LOCK(testWallet.cs_wallet); // test multiple times to allow for differences in the shuffle order for (int i = 0; i < RUN_TESTS; i++) { empty_wallet(); // with an empty wallet we can't even pay one cent BOOST_CHECK(!testWallet.SelectCoinsMinConf( 1 * CENT, 1, 6, 0, vCoins, setCoinsRet, nValueRet)); add_coin(1*CENT, 4); // add a new 1 cent coin // with a new 1 cent coin, we still can't find a mature 1 cent BOOST_CHECK(!testWallet.SelectCoinsMinConf( 1 * CENT, 1, 6, 0, vCoins, setCoinsRet, nValueRet)); // but we can find a new 1 cent BOOST_CHECK( testWallet.SelectCoinsMinConf( 1 * CENT, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, 1 * CENT); add_coin(2*CENT); // add a mature 2 cent coin // we can't make 3 cents of mature coins BOOST_CHECK(!testWallet.SelectCoinsMinConf( 3 * CENT, 1, 6, 0, vCoins, setCoinsRet, nValueRet)); // we can make 3 cents of new coins BOOST_CHECK( testWallet.SelectCoinsMinConf( 3 * CENT, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, 3 * CENT); add_coin(5*CENT); // add a mature 5 cent coin, add_coin(10*CENT, 3, true); // a new 10 cent coin sent from one of our own addresses add_coin(20*CENT); // and a mature 20 cent coin // now we have new: 1+10=11 (of which 10 was self-sent), and mature: 2+5+20=27. total = 38 // we can't make 38 cents only if we disallow new coins: BOOST_CHECK(!testWallet.SelectCoinsMinConf(38 * CENT, 1, 6, 0, vCoins, setCoinsRet, nValueRet)); // we can't even make 37 cents if we don't allow new coins even if they're from us BOOST_CHECK(!testWallet.SelectCoinsMinConf(38 * CENT, 6, 6, 0, vCoins, setCoinsRet, nValueRet)); // but we can make 37 cents if we accept new coins from ourself BOOST_CHECK( testWallet.SelectCoinsMinConf(37 * CENT, 1, 6, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, 37 * CENT); // and we can make 38 cents if we accept all new coins BOOST_CHECK( testWallet.SelectCoinsMinConf(38 * CENT, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, 38 * CENT); // try making 34 cents from 1,2,5,10,20 - we can't do it exactly BOOST_CHECK( testWallet.SelectCoinsMinConf(34 * CENT, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, 35 * CENT); // but 35 cents is closest BOOST_CHECK_EQUAL(setCoinsRet.size(), 3U); // the best should be 20+10+5. it's incredibly unlikely the 1 or 2 got included (but possible) // when we try making 7 cents, the smaller coins (1,2,5) are enough. We should see just 2+5 BOOST_CHECK( testWallet.SelectCoinsMinConf( 7 * CENT, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, 7 * CENT); BOOST_CHECK_EQUAL(setCoinsRet.size(), 2U); // when we try making 8 cents, the smaller coins (1,2,5) are exactly enough. BOOST_CHECK( testWallet.SelectCoinsMinConf( 8 * CENT, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK(nValueRet == 8 * CENT); BOOST_CHECK_EQUAL(setCoinsRet.size(), 3U); // when we try making 9 cents, no subset of smaller coins is enough, and we get the next bigger coin (10) BOOST_CHECK( testWallet.SelectCoinsMinConf( 9 * CENT, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, 10 * CENT); BOOST_CHECK_EQUAL(setCoinsRet.size(), 1U); // now clear out the wallet and start again to test choosing between subsets of smaller coins and the next biggest coin empty_wallet(); add_coin( 6*CENT); add_coin( 7*CENT); add_coin( 8*CENT); add_coin(20*CENT); add_coin(30*CENT); // now we have 6+7+8+20+30 = 71 cents total // check that we have 71 and not 72 BOOST_CHECK( testWallet.SelectCoinsMinConf(71 * CENT, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK(!testWallet.SelectCoinsMinConf(72 * CENT, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); // now try making 16 cents. the best smaller coins can do is 6+7+8 = 21; not as good at the next biggest coin, 20 BOOST_CHECK( testWallet.SelectCoinsMinConf(16 * CENT, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, 20 * CENT); // we should get 20 in one coin BOOST_CHECK_EQUAL(setCoinsRet.size(), 1U); add_coin( 5*CENT); // now we have 5+6+7+8+20+30 = 75 cents total // now if we try making 16 cents again, the smaller coins can make 5+6+7 = 18 cents, better than the next biggest coin, 20 BOOST_CHECK( testWallet.SelectCoinsMinConf(16 * CENT, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, 18 * CENT); // we should get 18 in 3 coins BOOST_CHECK_EQUAL(setCoinsRet.size(), 3U); add_coin( 18*CENT); // now we have 5+6+7+8+18+20+30 // and now if we try making 16 cents again, the smaller coins can make 5+6+7 = 18 cents, the same as the next biggest coin, 18 BOOST_CHECK( testWallet.SelectCoinsMinConf(16 * CENT, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, 18 * CENT); // we should get 18 in 1 coin BOOST_CHECK_EQUAL(setCoinsRet.size(), 1U); // because in the event of a tie, the biggest coin wins // now try making 11 cents. we should get 5+6 BOOST_CHECK( testWallet.SelectCoinsMinConf(11 * CENT, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, 11 * CENT); BOOST_CHECK_EQUAL(setCoinsRet.size(), 2U); // check that the smallest bigger coin is used add_coin( 1*COIN); add_coin( 2*COIN); add_coin( 3*COIN); add_coin( 4*COIN); // now we have 5+6+7+8+18+20+30+100+200+300+400 = 1094 cents BOOST_CHECK( testWallet.SelectCoinsMinConf(95 * CENT, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, 1 * COIN); // we should get 1 BTC in 1 coin BOOST_CHECK_EQUAL(setCoinsRet.size(), 1U); BOOST_CHECK( testWallet.SelectCoinsMinConf(195 * CENT, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, 2 * COIN); // we should get 2 BTC in 1 coin BOOST_CHECK_EQUAL(setCoinsRet.size(), 1U); // empty the wallet and start again, now with fractions of a cent, to test small change avoidance empty_wallet(); add_coin(MIN_CHANGE * 1 / 10); add_coin(MIN_CHANGE * 2 / 10); add_coin(MIN_CHANGE * 3 / 10); add_coin(MIN_CHANGE * 4 / 10); add_coin(MIN_CHANGE * 5 / 10); // try making 1 * MIN_CHANGE from the 1.5 * MIN_CHANGE // we'll get change smaller than MIN_CHANGE whatever happens, so can expect MIN_CHANGE exactly BOOST_CHECK( testWallet.SelectCoinsMinConf(MIN_CHANGE, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, MIN_CHANGE); // but if we add a bigger coin, small change is avoided add_coin(1111*MIN_CHANGE); // try making 1 from 0.1 + 0.2 + 0.3 + 0.4 + 0.5 + 1111 = 1112.5 BOOST_CHECK( testWallet.SelectCoinsMinConf(1 * MIN_CHANGE, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, 1 * MIN_CHANGE); // we should get the exact amount // if we add more small coins: add_coin(MIN_CHANGE * 6 / 10); add_coin(MIN_CHANGE * 7 / 10); // and try again to make 1.0 * MIN_CHANGE BOOST_CHECK( testWallet.SelectCoinsMinConf(1 * MIN_CHANGE, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, 1 * MIN_CHANGE); // we should get the exact amount // run the 'mtgox' test (see http://blockexplorer.com/tx/29a3efd3ef04f9153d47a990bd7b048a4b2d213daaa5fb8ed670fb85f13bdbcf) // they tried to consolidate 10 50k coins into one 500k coin, and ended up with 50k in change empty_wallet(); for (int j = 0; j < 20; j++) add_coin(50000 * COIN); BOOST_CHECK( testWallet.SelectCoinsMinConf(500000 * COIN, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, 500000 * COIN); // we should get the exact amount BOOST_CHECK_EQUAL(setCoinsRet.size(), 10U); // in ten coins // if there's not enough in the smaller coins to make at least 1 * MIN_CHANGE change (0.5+0.6+0.7 < 1.0+1.0), // we need to try finding an exact subset anyway // sometimes it will fail, and so we use the next biggest coin: empty_wallet(); add_coin(MIN_CHANGE * 5 / 10); add_coin(MIN_CHANGE * 6 / 10); add_coin(MIN_CHANGE * 7 / 10); add_coin(1111 * MIN_CHANGE); BOOST_CHECK( testWallet.SelectCoinsMinConf(1 * MIN_CHANGE, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, 1111 * MIN_CHANGE); // we get the bigger coin BOOST_CHECK_EQUAL(setCoinsRet.size(), 1U); // but sometimes it's possible, and we use an exact subset (0.4 + 0.6 = 1.0) empty_wallet(); add_coin(MIN_CHANGE * 4 / 10); add_coin(MIN_CHANGE * 6 / 10); add_coin(MIN_CHANGE * 8 / 10); add_coin(1111 * MIN_CHANGE); BOOST_CHECK( testWallet.SelectCoinsMinConf(MIN_CHANGE, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, MIN_CHANGE); // we should get the exact amount BOOST_CHECK_EQUAL(setCoinsRet.size(), 2U); // in two coins 0.4+0.6 // test avoiding small change empty_wallet(); add_coin(MIN_CHANGE * 5 / 100); add_coin(MIN_CHANGE * 1); add_coin(MIN_CHANGE * 100); // trying to make 100.01 from these three coins BOOST_CHECK(testWallet.SelectCoinsMinConf(MIN_CHANGE * 10001 / 100, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, MIN_CHANGE * 10105 / 100); // we should get all coins BOOST_CHECK_EQUAL(setCoinsRet.size(), 3U); // but if we try to make 99.9, we should take the bigger of the two small coins to avoid small change BOOST_CHECK(testWallet.SelectCoinsMinConf(MIN_CHANGE * 9990 / 100, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, 101 * MIN_CHANGE); BOOST_CHECK_EQUAL(setCoinsRet.size(), 2U); // test with many inputs for (CAmount amt=1500; amt < COIN; amt*=10) { empty_wallet(); // Create 676 inputs (= (old MAX_STANDARD_TX_SIZE == 100000) / 148 bytes per input) for (uint16_t j = 0; j < 676; j++) add_coin(amt); BOOST_CHECK(testWallet.SelectCoinsMinConf(2000, 1, 1, 0, vCoins, setCoinsRet, nValueRet)); if (amt - 2000 < MIN_CHANGE) { // needs more than one input: uint16_t returnSize = std::ceil((2000.0 + MIN_CHANGE)/amt); CAmount returnValue = amt * returnSize; BOOST_CHECK_EQUAL(nValueRet, returnValue); BOOST_CHECK_EQUAL(setCoinsRet.size(), returnSize); } else { // one input is sufficient: BOOST_CHECK_EQUAL(nValueRet, amt); BOOST_CHECK_EQUAL(setCoinsRet.size(), 1U); } } // test randomness { empty_wallet(); for (int i2 = 0; i2 < 100; i2++) add_coin(COIN); // picking 50 from 100 coins doesn't depend on the shuffle, // but does depend on randomness in the stochastic approximation code BOOST_CHECK(testWallet.SelectCoinsMinConf(50 * COIN, 1, 6, 0, vCoins, setCoinsRet , nValueRet)); BOOST_CHECK(testWallet.SelectCoinsMinConf(50 * COIN, 1, 6, 0, vCoins, setCoinsRet2, nValueRet)); BOOST_CHECK(!equal_sets(setCoinsRet, setCoinsRet2)); int fails = 0; for (int j = 0; j < RANDOM_REPEATS; j++) { // selecting 1 from 100 identical coins depends on the shuffle; this test will fail 1% of the time // run the test RANDOM_REPEATS times and only complain if all of them fail BOOST_CHECK(testWallet.SelectCoinsMinConf(COIN, 1, 6, 0, vCoins, setCoinsRet , nValueRet)); BOOST_CHECK(testWallet.SelectCoinsMinConf(COIN, 1, 6, 0, vCoins, setCoinsRet2, nValueRet)); if (equal_sets(setCoinsRet, setCoinsRet2)) fails++; } BOOST_CHECK_NE(fails, RANDOM_REPEATS); // add 75 cents in small change. not enough to make 90 cents, // then try making 90 cents. there are multiple competing "smallest bigger" coins, // one of which should be picked at random add_coin(5 * CENT); add_coin(10 * CENT); add_coin(15 * CENT); add_coin(20 * CENT); add_coin(25 * CENT); fails = 0; for (int j = 0; j < RANDOM_REPEATS; j++) { // selecting 1 from 100 identical coins depends on the shuffle; this test will fail 1% of the time // run the test RANDOM_REPEATS times and only complain if all of them fail BOOST_CHECK(testWallet.SelectCoinsMinConf(90*CENT, 1, 6, 0, vCoins, setCoinsRet , nValueRet)); BOOST_CHECK(testWallet.SelectCoinsMinConf(90*CENT, 1, 6, 0, vCoins, setCoinsRet2, nValueRet)); if (equal_sets(setCoinsRet, setCoinsRet2)) fails++; } BOOST_CHECK_NE(fails, RANDOM_REPEATS); } } empty_wallet(); } BOOST_AUTO_TEST_CASE(ApproximateBestSubset) { CoinSet setCoinsRet; CAmount nValueRet; LOCK(testWallet.cs_wallet); empty_wallet(); // Test vValue sort order for (int i = 0; i < 1000; i++) add_coin(1000 * COIN); add_coin(3 * COIN); BOOST_CHECK(testWallet.SelectCoinsMinConf(1003 * COIN, 1, 6, 0, vCoins, setCoinsRet, nValueRet)); BOOST_CHECK_EQUAL(nValueRet, 1003 * COIN); BOOST_CHECK_EQUAL(setCoinsRet.size(), 2U); empty_wallet(); } BOOST_FIXTURE_TEST_CASE(rescan, TestChain100Setup) { LOCK(cs_main); // Cap last block file size, and mine new block in a new block file. CBlockIndex* oldTip = chainActive.Tip(); GetBlockFileInfo(oldTip->GetBlockPos().nFile)->nSize = MAX_BLOCKFILE_SIZE; CreateAndProcessBlock({}, GetScriptForRawPubKey(coinbaseKey.GetPubKey())); CBlockIndex* newTip = chainActive.Tip(); // Verify ScanForWalletTransactions picks up transactions in both the old // and new block files. { CWallet wallet; LOCK(wallet.cs_wallet); wallet.AddKeyPubKey(coinbaseKey, coinbaseKey.GetPubKey()); BOOST_CHECK_EQUAL(oldTip, wallet.ScanForWalletTransactions(oldTip)); BOOST_CHECK_EQUAL(wallet.GetImmatureBalance(), 100 * COIN); } // Prune the older block file. PruneOneBlockFile(oldTip->GetBlockPos().nFile); UnlinkPrunedFiles({oldTip->GetBlockPos().nFile}); // Verify ScanForWalletTransactions only picks transactions in the new block // file. { CWallet wallet; LOCK(wallet.cs_wallet); wallet.AddKeyPubKey(coinbaseKey, coinbaseKey.GetPubKey()); BOOST_CHECK_EQUAL(newTip, wallet.ScanForWalletTransactions(oldTip)); BOOST_CHECK_EQUAL(wallet.GetImmatureBalance(), 50 * COIN); } // Verify importmulti RPC returns failure for a key whose creation time is // before the missing block, and success for a key whose creation time is // after. { CWallet wallet; CWallet *backup = ::pwalletMain; ::pwalletMain = &wallet; UniValue keys; keys.setArray(); UniValue key; key.setObject(); key.pushKV("scriptPubKey", HexStr(GetScriptForRawPubKey(coinbaseKey.GetPubKey()))); key.pushKV("timestamp", 0); key.pushKV("internal", UniValue(true)); keys.push_back(key); key.clear(); key.setObject(); CKey futureKey; futureKey.MakeNewKey(true); key.pushKV("scriptPubKey", HexStr(GetScriptForRawPubKey(futureKey.GetPubKey()))); key.pushKV("timestamp", newTip->GetBlockTimeMax() + TIMESTAMP_WINDOW); key.pushKV("internal", UniValue(true)); keys.push_back(key); JSONRPCRequest request; request.params.setArray(); request.params.push_back(keys); UniValue response = importmulti(request); BOOST_CHECK_EQUAL(response.write(), strprintf("[{\"success\":false,\"error\":{\"code\":-1,\"message\":\"Failed to rescan before time %d, transactions may be missing.\"}},{\"success\":true}]", newTip->GetBlockTimeMax())); ::pwalletMain = backup; } // Verify ScanForWalletTransactions does not return null when the scan is // elided due to the nTimeFirstKey optimization. { CWallet wallet; { LOCK(wallet.cs_wallet); wallet.UpdateTimeFirstKey(newTip->GetBlockTime() + 7200 + 1); } BOOST_CHECK_EQUAL(newTip, wallet.ScanForWalletTransactions(newTip)); } } // Check that GetImmatureCredit() returns a newly calculated value instead of // the cached value after a MarkDirty() call. // // This is a regression test written to verify a bugfix for the immature credit // function. Similar tests probably should be written for the other credit and // debit functions. BOOST_FIXTURE_TEST_CASE(coin_mark_dirty_immature_credit, TestChain100Setup) { CWallet wallet; CWalletTx wtx(&wallet, MakeTransactionRef(coinbaseTxns.back())); LOCK2(cs_main, wallet.cs_wallet); wtx.hashBlock = chainActive.Tip()->GetBlockHash(); wtx.nIndex = 0; // Call GetImmatureCredit() once before adding the key to the wallet to // cache the current immature credit amount, which is 0. BOOST_CHECK_EQUAL(wtx.GetImmatureCredit(), 0); // Invalidate the cached value, add the key, and make sure a new immature // credit amount is calculated. wtx.MarkDirty(); wallet.AddKeyPubKey(coinbaseKey, coinbaseKey.GetPubKey()); BOOST_CHECK_EQUAL(wtx.GetImmatureCredit(), 50*COIN); } static int64_t AddTx(CWallet& wallet, uint32_t lockTime, int64_t mockTime, int64_t blockTime) { CMutableTransaction tx; tx.nLockTime = lockTime; SetMockTime(mockTime); CBlockIndex* block = nullptr; if (blockTime > 0) { auto inserted = mapBlockIndex.emplace(GetRandHash(), new CBlockIndex); assert(inserted.second); const uint256& hash = inserted.first->first; block = inserted.first->second; block->nTime = blockTime; block->phashBlock = &hash; } CWalletTx wtx(&wallet, MakeTransactionRef(tx)); if (block) { wtx.SetMerkleBranch(block, 0); } wallet.AddToWallet(wtx); return wallet.mapWallet.at(wtx.GetHash()).nTimeSmart; } // Simple test to verify assignment of CWalletTx::nSmartTime value. Could be // expanded to cover more corner cases of smart time logic. BOOST_AUTO_TEST_CASE(ComputeTimeSmart) { CWallet wallet; // New transaction should use clock time if lower than block time. BOOST_CHECK_EQUAL(AddTx(wallet, 1, 100, 120), 100); // Test that updating existing transaction does not change smart time. BOOST_CHECK_EQUAL(AddTx(wallet, 1, 200, 220), 100); // New transaction should use clock time if there's no block time. BOOST_CHECK_EQUAL(AddTx(wallet, 2, 300, 0), 300); // New transaction should use block time if lower than clock time. BOOST_CHECK_EQUAL(AddTx(wallet, 3, 420, 400), 400); // New transaction should use latest entry time if higher than // min(block time, clock time). BOOST_CHECK_EQUAL(AddTx(wallet, 4, 500, 390), 400); // If there are future entries, new transaction should use time of the // newest entry that is no more than 300 seconds ahead of the clock time. BOOST_CHECK_EQUAL(AddTx(wallet, 5, 50, 600), 300); // Reset mock time for other tests. SetMockTime(0); } BOOST_AUTO_TEST_SUITE_END()