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189
utils/utils.py
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189
utils/utils.py
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from collections import defaultdict, deque
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from datetime import datetime
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from typing import List
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import numpy as np
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from internal_types.types import Instrument, Position, Quote
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TRADING_DAYS = 252
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def sign(x):
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# return x // abs(x)
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# e.g. sign(-5) = -1, sign(0) = 0, sign(5) = 1
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return (x > 0) - (x < 0)
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def max_abs(*xs):
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return max(map(abs, xs))
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def min_abs(*xs):
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return min(map(abs, xs))
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def simple_sharpe_ratio(historical_net_liquid_value: List[float], interval_sec: int) -> float:
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if len(historical_net_liquid_value) < 2:
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return np.nan
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xs = np.asarray(historical_net_liquid_value, dtype=float)
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returns = xs[1:] / xs[:-1] - 1.0
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mean_r = np.mean(returns)
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std_r = np.std(returns, ddof=1)
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if std_r == 0:
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return np.nan
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periods_per_year = TRADING_DAYS * 24 * 60 * 60 / interval_sec
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return (mean_r / std_r) * np.sqrt(periods_per_year)
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def log_sharpe_ratio(historical_net_liquid_value: List[float], interval_sec: int) -> float:
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if len(historical_net_liquid_value) < 2:
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return np.nan
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xs = np.asarray(historical_net_liquid_value, dtype=float)
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log_returns = np.log(xs[1:] / xs[:-1])
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mean_r = log_returns.mean()
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std_r = log_returns.std(ddof=1)
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if std_r == 0:
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return np.nan
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periods_per_year = TRADING_DAYS * 24 * 60 * 60 / interval_sec
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return (mean_r / std_r) * np.sqrt(periods_per_year)
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# def consolidate_positions(ps: List[Position]) -> Position:
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# # assumes that ps is not empty and contains the same instruments
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# qty = 0
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# outstanding_balance = 0
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# for p in ps:
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# qty += p.quantity
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# outstanding_balance += p.price * p.quantity
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# return Position(ps[0].instr, qty, outstanding_balance / qty if qty else 0)
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def timestamp_to_str(timestamp: int) -> str:
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return datetime.fromtimestamp(timestamp).strftime('%Y-%m-%d %H:%M:%S UTC')
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def interval_idx(timestamp: int, interval_sec: int) -> int:
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return timestamp // interval_sec
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def long(pos: Position) -> bool:
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return pos.quantity > 0
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def unrealized_gains(pos: Position, closing_price: float) -> float:
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return (closing_price - pos.price) * pos.quantity * pos.instr.multiplier
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class Portfolio:
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def __init__(self):
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self._realized_gains = defaultdict(float)
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self.positions = defaultdict(deque[Position])
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def empty(self, instr: Instrument) -> bool:
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return len(self.positions[instr]) == 0
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def add_pos(self, new_pos: Position):
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if new_pos.quantity == 0:
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return
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instr = new_pos.instr
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if self.empty(instr) or long(self.positions[instr][0]) == long(new_pos):
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self.positions[instr].append(new_pos)
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return
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while not self.empty(instr) and new_pos.quantity:
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old_pos = self.positions[instr].popleft()
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min_abs_qty = min_abs(old_pos.quantity, new_pos.quantity)
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tmp_pos = Position(instr, min_abs_qty * sign(old_pos.quantity), old_pos.price)
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self._realized_gains[instr] += unrealized_gains(tmp_pos, new_pos.price)
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old_pos.quantity -= min_abs_qty * sign(old_pos.quantity)
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new_pos.quantity -= min_abs_qty * sign(new_pos.quantity)
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if old_pos.quantity:
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self.positions[instr].appendleft(old_pos)
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if new_pos.quantity:
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self.positions[instr].append(new_pos)
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def curr_position(self, instr: Instrument) -> int:
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# todo: handle fractional shares (crypto)
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return sum(pos.quantity for pos in self.positions[instr])
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def realized_gains(self, instr: Instrument) -> float:
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return self._realized_gains[instr]
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def unrealized_gains(self, instr: Instrument, closing_price: float) -> float:
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return sum(unrealized_gains(pos, closing_price) for pos in self.positions[instr])
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def total_gains(self, instr: Instrument, closing_price: float) -> float:
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return self._realized_gains[instr] + self.unrealized_gains(instr, closing_price)
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class BlendedCandlesticks:
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def __init__(self, interval_sec: int):
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self.interval_sec = interval_sec
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self.timestamps: List[int] = []
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self.opens: List[float] = []
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self.highs: List[float] = []
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self.lows: List[float] = []
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self.closes: List[float] = []
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self.volumes: List[int] = [] # todo: float for crypto
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self.incomplete_bar: Quote | None = None
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def __len__(self):
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return len(self.timestamps)
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def __append(self, quote: Quote):
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if self.incomplete_bar is not None:
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self.timestamps.append(self.incomplete_bar.timestamp)
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self.opens.append(self.incomplete_bar.open)
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self.highs.append(self.incomplete_bar.high)
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self.lows.append(self.incomplete_bar.low)
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self.closes.append(self.incomplete_bar.close)
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self.volumes.append(self.incomplete_bar.volume)
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self.incomplete_bar = quote
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def __blend(self, quote: Quote):
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if self.incomplete_bar is None:
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self.incomplete_bar = quote
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else:
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self.incomplete_bar = Quote(timestamp=self.incomplete_bar.timestamp,
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open=self.incomplete_bar.open,
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high=max(self.incomplete_bar.high, quote.high),
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low=min(self.incomplete_bar.low, quote.low),
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close=quote.close,
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volume=self.incomplete_bar.volume + quote.volume)
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def __to_blend(self, quote: Quote):
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if not self.timestamps or self.incomplete_bar is None:
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return False
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last_interval_idx = interval_idx(self.incomplete_bar.timestamp, self.interval_sec)
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quote_interval_idx = interval_idx(quote.timestamp, self.interval_sec)
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return last_interval_idx == quote_interval_idx
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def append(self, quote: Quote):
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if self.__to_blend(quote):
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self.__blend(quote)
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else:
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self.__append(quote)
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def blended_quote(self, idx: int) -> Quote:
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# todo: throw runtime error if idx >= len(self)
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return Quote(timestamp=self.timestamps[idx],
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open=self.opens[idx],
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high=self.highs[idx],
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low=self.lows[idx],
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close=self.closes[idx],
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volume=self.volumes[idx])
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