#!/usr/bin/env python # # Electrum - lightweight Bitcoin client # Copyright (C) 2015 kyuupichan@gmail # # Permission is hereby granted, free of charge, to any person # obtaining a copy of this software and associated documentation files # (the "Software"), to deal in the Software without restriction, # including without limitation the rights to use, copy, modify, merge, # publish, distribute, sublicense, and/or sell copies of the Software, # and to permit persons to whom the Software is furnished to do so, # subject to the following conditions: # # The above copyright notice and this permission notice shall be # included in all copies or substantial portions of the Software. # # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, # EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF # MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND # NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS # BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN # ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN # CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE # SOFTWARE. from collections import defaultdict from math import floor, log10 from typing import NamedTuple, List, Callable from decimal import Decimal from .bitcoin import sha256, COIN, TYPE_ADDRESS, is_address from .transaction import Transaction, TxOutput from .util import NotEnoughFunds from .logging import Logger # A simple deterministic PRNG. Used to deterministically shuffle a # set of coins - the same set of coins should produce the same output. # Although choosing UTXOs "randomly" we want it to be deterministic, # so if sending twice from the same UTXO set we choose the same UTXOs # to spend. This prevents attacks on users by malicious or stale # servers. class PRNG: def __init__(self, seed): self.sha = sha256(seed) self.pool = bytearray() def get_bytes(self, n): while len(self.pool) < n: self.pool.extend(self.sha) self.sha = sha256(self.sha) result, self.pool = self.pool[:n], self.pool[n:] return result def randint(self, start, end): # Returns random integer in [start, end) n = end - start r = 0 p = 1 while p < n: r = self.get_bytes(1)[0] + (r << 8) p = p << 8 return start + (r % n) def choice(self, seq): return seq[self.randint(0, len(seq))] def shuffle(self, x): for i in reversed(range(1, len(x))): # pick an element in x[:i+1] with which to exchange x[i] j = self.randint(0, i+1) x[i], x[j] = x[j], x[i] class Bucket(NamedTuple): desc: str weight: int # as in BIP-141 value: int # in satoshis effective_value: int # estimate of value left after subtracting fees. in satoshis coins: List[dict] # UTXOs min_height: int # min block height where a coin was confirmed witness: bool # whether any coin uses segwit class ScoredCandidate(NamedTuple): penalty: float tx: Transaction buckets: List[Bucket] def strip_unneeded(bkts, sufficient_funds): '''Remove buckets that are unnecessary in achieving the spend amount''' if sufficient_funds([], bucket_value_sum=0): # none of the buckets are needed return [] bkts = sorted(bkts, key=lambda bkt: bkt.value, reverse=True) bucket_value_sum = 0 for i in range(len(bkts)): bucket_value_sum += (bkts[i]).value if sufficient_funds(bkts[:i+1], bucket_value_sum=bucket_value_sum): return bkts[:i+1] raise Exception("keeping all buckets is still not enough") class CoinChooserBase(Logger): enable_output_value_rounding = False def __init__(self): Logger.__init__(self) def keys(self, coins): raise NotImplementedError def bucketize_coins(self, coins, *, fee_estimator_vb): keys = self.keys(coins) buckets = defaultdict(list) for key, coin in zip(keys, coins): buckets[key].append(coin) # fee_estimator returns fee to be paid, for given vbytes. # guess whether it is just returning a constant as follows. constant_fee = fee_estimator_vb(2000) == fee_estimator_vb(200) def make_Bucket(desc, coins): witness = any(Transaction.is_segwit_input(coin, guess_for_address=True) for coin in coins) # note that we're guessing whether the tx uses segwit based # on this single bucket weight = sum(Transaction.estimated_input_weight(coin, witness) for coin in coins) value = sum(coin['value'] for coin in coins) min_height = min(coin['height'] for coin in coins) # the fee estimator is typically either a constant or a linear function, # so the "function:" effective_value(bucket) will be homomorphic for addition # i.e. effective_value(b1) + effective_value(b2) = effective_value(b1 + b2) if constant_fee: effective_value = value else: # when converting from weight to vBytes, instead of rounding up, # keep fractional part, to avoid overestimating fee fee = fee_estimator_vb(Decimal(weight) / 4) effective_value = value - fee return Bucket(desc=desc, weight=weight, value=value, effective_value=effective_value, coins=coins, min_height=min_height, witness=witness) return list(map(make_Bucket, buckets.keys(), buckets.values())) def penalty_func(self, base_tx, *, tx_from_buckets) -> Callable[[List[Bucket]], ScoredCandidate]: raise NotImplementedError def _change_amounts(self, tx, count, fee_estimator_numchange) -> List[int]: # Break change up if bigger than max_change output_amounts = [o.value for o in tx.outputs()] # Don't split change of less than 0.02 BTC max_change = max(max(output_amounts) * 1.25, 0.02 * COIN) # Use N change outputs for n in range(1, count + 1): # How much is left if we add this many change outputs? change_amount = max(0, tx.get_fee() - fee_estimator_numchange(n)) if change_amount // n <= max_change: break # Get a handle on the precision of the output amounts; round our # change to look similar def trailing_zeroes(val): s = str(val) return len(s) - len(s.rstrip('0')) zeroes = [trailing_zeroes(i) for i in output_amounts] min_zeroes = min(zeroes) max_zeroes = max(zeroes) if n > 1: zeroes = range(max(0, min_zeroes - 1), (max_zeroes + 1) + 1) else: # if there is only one change output, this will ensure that we aim # to have one that is exactly as precise as the most precise output zeroes = [min_zeroes] # Calculate change; randomize it a bit if using more than 1 output remaining = change_amount amounts = [] while n > 1: average = remaining / n amount = self.p.randint(int(average * 0.7), int(average * 1.3)) precision = min(self.p.choice(zeroes), int(floor(log10(amount)))) amount = int(round(amount, -precision)) amounts.append(amount) remaining -= amount n -= 1 # Last change output. Round down to maximum precision but lose # no more than 10**max_dp_to_round_for_privacy # e.g. a max of 2 decimal places means losing 100 satoshis to fees max_dp_to_round_for_privacy = 2 if self.enable_output_value_rounding else 0 N = int(pow(10, min(max_dp_to_round_for_privacy, zeroes[0]))) amount = (remaining // N) * N amounts.append(amount) assert sum(amounts) <= change_amount return amounts def _change_outputs(self, tx, change_addrs, fee_estimator_numchange, dust_threshold): amounts = self._change_amounts(tx, len(change_addrs), fee_estimator_numchange) assert min(amounts) >= 0 assert len(change_addrs) >= len(amounts) assert all([isinstance(amt, int) for amt in amounts]) # If change is above dust threshold after accounting for the # size of the change output, add it to the transaction. amounts = [amount for amount in amounts if amount >= dust_threshold] change = [TxOutput(TYPE_ADDRESS, addr, amount) for addr, amount in zip(change_addrs, amounts)] return change def _construct_tx_from_selected_buckets(self, *, buckets, base_tx, change_addrs, fee_estimator_w, dust_threshold, base_weight): # make a copy of base_tx so it won't get mutated tx = Transaction.from_io(base_tx.inputs()[:], base_tx.outputs()[:]) tx.add_inputs([coin for b in buckets for coin in b.coins]) tx_weight = self._get_tx_weight(buckets, base_weight=base_weight) # change is sent back to sending address unless specified if not change_addrs: change_addrs = [tx.inputs()[0]['address']] # note: this is not necessarily the final "first input address" # because the inputs had not been sorted at this point assert is_address(change_addrs[0]) # This takes a count of change outputs and returns a tx fee output_weight = 4 * Transaction.estimated_output_size(change_addrs[0]) fee_estimator_numchange = lambda count: fee_estimator_w(tx_weight + count * output_weight) change = self._change_outputs(tx, change_addrs, fee_estimator_numchange, dust_threshold) tx.add_outputs(change) return tx, change def _get_tx_weight(self, buckets, *, base_weight) -> int: """Given a collection of buckets, return the total weight of the resulting transaction. base_weight is the weight of the tx that includes the fixed (non-change) outputs and potentially some fixed inputs. Note that the change outputs at this point are not yet known so they are NOT accounted for. """ total_weight = base_weight + sum(bucket.weight for bucket in buckets) is_segwit_tx = any(bucket.witness for bucket in buckets) if is_segwit_tx: total_weight += 2 # marker and flag # non-segwit inputs were previously assumed to have # a witness of '' instead of '00' (hex) # note that mixed legacy/segwit buckets are already ok num_legacy_inputs = sum((not bucket.witness) * len(bucket.coins) for bucket in buckets) total_weight += num_legacy_inputs return total_weight def make_tx(self, coins, inputs, outputs, change_addrs, fee_estimator_vb, dust_threshold): """Select unspent coins to spend to pay outputs. If the change is greater than dust_threshold (after adding the change output to the transaction) it is kept, otherwise none is sent and it is added to the transaction fee. `inputs` and `outputs` are guaranteed to be a subset of the inputs and outputs of the resulting transaction. `coins` are further UTXOs we can choose from. Note: fee_estimator_vb expects virtual bytes """ # Deterministic randomness from coins utxos = [c['prevout_hash'] + str(c['prevout_n']) for c in coins] self.p = PRNG(''.join(sorted(utxos))) # Copy the outputs so when adding change we don't modify "outputs" base_tx = Transaction.from_io(inputs[:], outputs[:]) input_value = base_tx.input_value() # Weight of the transaction with no inputs and no change # Note: this will use legacy tx serialization as the need for "segwit" # would be detected from inputs. The only side effect should be that the # marker and flag are excluded, which is compensated in get_tx_weight() # FIXME calculation will be off by this (2 wu) in case of RBF batching base_weight = base_tx.estimated_weight() spent_amount = base_tx.output_value() def fee_estimator_w(weight): return fee_estimator_vb(Transaction.virtual_size_from_weight(weight)) def sufficient_funds(buckets, *, bucket_value_sum): '''Given a list of buckets, return True if it has enough value to pay for the transaction''' # assert bucket_value_sum == sum(bucket.value for bucket in buckets) # expensive! total_input = input_value + bucket_value_sum if total_input < spent_amount: # shortcut for performance return False # note re performance: so far this was constant time # what follows is linear in len(buckets) total_weight = self._get_tx_weight(buckets, base_weight=base_weight) return total_input >= spent_amount + fee_estimator_w(total_weight) def tx_from_buckets(buckets): return self._construct_tx_from_selected_buckets(buckets=buckets, base_tx=base_tx, change_addrs=change_addrs, fee_estimator_w=fee_estimator_w, dust_threshold=dust_threshold, base_weight=base_weight) # Collect the coins into buckets all_buckets = self.bucketize_coins(coins, fee_estimator_vb=fee_estimator_vb) # Filter some buckets out. Only keep those that have positive effective value. # Note that this filtering is intentionally done on the bucket level # instead of per-coin, as each bucket should be either fully spent or not at all. # (e.g. CoinChooserPrivacy ensures that same-address coins go into one bucket) all_buckets = list(filter(lambda b: b.effective_value > 0, all_buckets)) # Choose a subset of the buckets scored_candidate = self.choose_buckets(all_buckets, sufficient_funds, self.penalty_func(base_tx, tx_from_buckets=tx_from_buckets)) tx = scored_candidate.tx self.logger.info(f"using {len(tx.inputs())} inputs") self.logger.info(f"using buckets: {[bucket.desc for bucket in scored_candidate.buckets]}") return tx def choose_buckets(self, buckets, sufficient_funds, penalty_func: Callable[[List[Bucket]], ScoredCandidate]) -> ScoredCandidate: raise NotImplemented('To be subclassed') class CoinChooserRandom(CoinChooserBase): def bucket_candidates_any(self, buckets, sufficient_funds): '''Returns a list of bucket sets.''' if not buckets: raise NotEnoughFunds() candidates = set() # Add all singletons for n, bucket in enumerate(buckets): if sufficient_funds([bucket], bucket_value_sum=bucket.value): candidates.add((n, )) # And now some random ones attempts = min(100, (len(buckets) - 1) * 10 + 1) permutation = list(range(len(buckets))) for i in range(attempts): # Get a random permutation of the buckets, and # incrementally combine buckets until sufficient self.p.shuffle(permutation) bkts = [] bucket_value_sum = 0 for count, index in enumerate(permutation): bucket = buckets[index] bkts.append(bucket) bucket_value_sum += bucket.value if sufficient_funds(bkts, bucket_value_sum=bucket_value_sum): candidates.add(tuple(sorted(permutation[:count + 1]))) break else: # note: this assumes that the effective value of any bkt is >= 0 raise NotEnoughFunds() candidates = [[buckets[n] for n in c] for c in candidates] return [strip_unneeded(c, sufficient_funds) for c in candidates] def bucket_candidates_prefer_confirmed(self, buckets, sufficient_funds): """Returns a list of bucket sets preferring confirmed coins. Any bucket can be: 1. "confirmed" if it only contains confirmed coins; else 2. "unconfirmed" if it does not contain coins with unconfirmed parents 3. other: e.g. "unconfirmed parent" or "local" This method tries to only use buckets of type 1, and if the coins there are not enough, tries to use the next type but while also selecting all buckets of all previous types. """ conf_buckets = [bkt for bkt in buckets if bkt.min_height > 0] unconf_buckets = [bkt for bkt in buckets if bkt.min_height == 0] other_buckets = [bkt for bkt in buckets if bkt.min_height < 0] bucket_sets = [conf_buckets, unconf_buckets, other_buckets] already_selected_buckets = [] already_selected_buckets_value_sum = 0 for bkts_choose_from in bucket_sets: try: def sfunds(bkts, *, bucket_value_sum): bucket_value_sum += already_selected_buckets_value_sum return sufficient_funds(already_selected_buckets + bkts, bucket_value_sum=bucket_value_sum) candidates = self.bucket_candidates_any(bkts_choose_from, sfunds) break except NotEnoughFunds: already_selected_buckets += bkts_choose_from already_selected_buckets_value_sum += sum(bucket.value for bucket in bkts_choose_from) else: raise NotEnoughFunds() candidates = [(already_selected_buckets + c) for c in candidates] return [strip_unneeded(c, sufficient_funds) for c in candidates] def choose_buckets(self, buckets, sufficient_funds, penalty_func): candidates = self.bucket_candidates_prefer_confirmed(buckets, sufficient_funds) scored_candidates = [penalty_func(cand) for cand in candidates] winner = min(scored_candidates, key=lambda x: x.penalty) self.logger.info(f"Total number of buckets: {len(buckets)}") self.logger.info(f"Num candidates considered: {len(candidates)}. " f"Winning penalty: {winner.penalty}") return winner class CoinChooserPrivacy(CoinChooserRandom): """Attempts to better preserve user privacy. First, if any coin is spent from a user address, all coins are. Compared to spending from other addresses to make up an amount, this reduces information leakage about sender holdings. It also helps to reduce blockchain UTXO bloat, and reduce future privacy loss that would come from reusing that address' remaining UTXOs. Second, it penalizes change that is quite different to the sent amount. Third, it penalizes change that is too big. """ def keys(self, coins): return [coin['address'] for coin in coins] def penalty_func(self, base_tx, *, tx_from_buckets): min_change = min(o.value for o in base_tx.outputs()) * 0.75 max_change = max(o.value for o in base_tx.outputs()) * 1.33 def penalty(buckets) -> ScoredCandidate: # Penalize using many buckets (~inputs) badness = len(buckets) - 1 tx, change_outputs = tx_from_buckets(buckets) change = sum(o.value for o in change_outputs) # Penalize change not roughly in output range if change == 0: pass # no change is great! elif change < min_change: badness += (min_change - change) / (min_change + 10000) # Penalize really small change; under 1 mBTC ~= using 1 more input if change < COIN / 1000: badness += 1 elif change > max_change: badness += (change - max_change) / (max_change + 10000) # Penalize large change; 5 BTC excess ~= using 1 more input badness += change / (COIN * 5) return ScoredCandidate(badness, tx, buckets) return penalty COIN_CHOOSERS = { 'Privacy': CoinChooserPrivacy, } def get_name(config): kind = config.get('coin_chooser') if not kind in COIN_CHOOSERS: kind = 'Privacy' return kind def get_coin_chooser(config): klass = COIN_CHOOSERS[get_name(config)] coinchooser = klass() coinchooser.enable_output_value_rounding = config.get('coin_chooser_output_rounding', False) return coinchooser