bit-backtest-lab / src /metrics.py
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"""Performance metrics, computed from the equity curve and trade list.
Every number the UI shows comes from this module, so each one is traceable to
an equity curve or a trade row rather than to a library's internal accounting.
Metrics are pure functions of their inputs -- no globals, no randomness.
"""
from __future__ import annotations
import math
from dataclasses import dataclass, asdict, field
import numpy as np
import pandas as pd
TRADING_DAYS = 252.0
@dataclass
class Metrics:
"""One performance summary. `segment` names the slice it describes."""
segment: str = "all"
start_ts: str | None = None
end_ts: str | None = None
bars: int = 0
total_return: float = 0.0
cagr: float = 0.0
sharpe: float = 0.0
sortino: float = 0.0
max_drawdown: float = 0.0
volatility: float = 0.0
win_rate: float = 0.0
profit_factor: float = 0.0
exposure: float = 0.0
trade_count: int = 0
avg_win: float = 0.0
avg_loss: float = 0.0
avg_r: float = 0.0
best_trade: float = 0.0
worst_trade: float = 0.0
costs_paid: float = 0.0
gross_pnl: float = 0.0
net_pnl: float = 0.0
def to_dict(self) -> dict:
return asdict(self)
def _clean_returns(equity: pd.Series) -> pd.Series:
r = equity.astype("float64").pct_change()
return r.replace([np.inf, -np.inf], np.nan).dropna()
def total_return(equity: pd.Series) -> float:
if len(equity) < 2 or equity.iloc[0] == 0:
return 0.0
return float(equity.iloc[-1] / equity.iloc[0] - 1.0)
def cagr(equity: pd.Series, bars_per_year: float) -> float:
if len(equity) < 2 or equity.iloc[0] <= 0 or equity.iloc[-1] <= 0:
return 0.0
years = (len(equity) - 1) / bars_per_year
if years <= 0:
return 0.0
return float((equity.iloc[-1] / equity.iloc[0]) ** (1.0 / years) - 1.0)
def sharpe(equity: pd.Series, bars_per_year: float, rf: float = 0.0) -> float:
r = _clean_returns(equity)
if len(r) < 2:
return 0.0
excess = r - (rf / bars_per_year)
sd = float(excess.std(ddof=1))
if sd == 0 or not math.isfinite(sd):
return 0.0
return float(excess.mean() / sd * math.sqrt(bars_per_year))
def sortino(equity: pd.Series, bars_per_year: float, rf: float = 0.0) -> float:
r = _clean_returns(equity)
if len(r) < 2:
return 0.0
excess = r - (rf / bars_per_year)
downside = excess[excess < 0]
if len(downside) == 0:
return 0.0
dd = float(np.sqrt((downside ** 2).mean()))
if dd == 0 or not math.isfinite(dd):
return 0.0
return float(excess.mean() / dd * math.sqrt(bars_per_year))
def volatility(equity: pd.Series, bars_per_year: float) -> float:
r = _clean_returns(equity)
if len(r) < 2:
return 0.0
return float(r.std(ddof=1) * math.sqrt(bars_per_year))
def drawdown_series(equity: pd.Series) -> pd.Series:
if equity.empty:
return equity
peak = equity.cummax()
return equity / peak - 1.0
def max_drawdown(equity: pd.Series) -> float:
if len(equity) < 2:
return 0.0
dd = drawdown_series(equity)
return float(dd.min()) if len(dd) else 0.0
def rolling_sharpe(equity: pd.Series, window: int, bars_per_year: float) -> pd.Series:
r = _clean_returns(equity)
if len(r) < window:
return pd.Series(dtype="float64", index=pd.DatetimeIndex([], tz="UTC"))
mean = r.rolling(window).mean()
sd = r.rolling(window).std(ddof=1)
out = (mean / sd.replace(0.0, np.nan)) * math.sqrt(bars_per_year)
return out.dropna()
def underwater(equity: pd.Series) -> pd.Series:
return drawdown_series(equity)
def exposure(position: pd.Series) -> float:
"""Fraction of bars holding a non-zero position."""
if position is None or len(position) == 0:
return 0.0
return float((position.abs() > 1e-12).mean())
# --------------------------------------------------------------------------
# Trade-derived statistics
# --------------------------------------------------------------------------
def trade_stats(trades: pd.DataFrame) -> dict:
"""Win rate, profit factor and friends from the trade list."""
empty = {
"trade_count": 0, "win_rate": 0.0, "profit_factor": 0.0,
"avg_win": 0.0, "avg_loss": 0.0, "avg_r": 0.0,
"best_trade": 0.0, "worst_trade": 0.0,
"costs_paid": 0.0, "gross_pnl": 0.0, "net_pnl": 0.0,
}
if trades is None or trades.empty:
return empty
net = trades["net_pnl"].astype("float64")
wins = net[net > 0]
losses = net[net < 0]
gross_profit = float(wins.sum())
gross_loss = float(-losses.sum())
if gross_loss > 0:
pf = gross_profit / gross_loss
elif gross_profit > 0:
pf = float("inf")
else:
pf = 0.0
r_vals = trades["r_multiple"].replace([np.inf, -np.inf], np.nan).dropna() \
if "r_multiple" in trades.columns else pd.Series(dtype="float64")
return {
"trade_count": int(len(trades)),
"win_rate": float(len(wins) / len(net)) if len(net) else 0.0,
"profit_factor": float(pf),
"avg_win": float(wins.mean()) if len(wins) else 0.0,
"avg_loss": float(losses.mean()) if len(losses) else 0.0,
"avg_r": float(r_vals.mean()) if len(r_vals) else 0.0,
"best_trade": float(net.max()),
"worst_trade": float(net.min()),
"costs_paid": float(trades["costs"].sum()) if "costs" in trades.columns else 0.0,
"gross_pnl": float(trades["gross_pnl"].sum()) if "gross_pnl" in trades.columns else 0.0,
"net_pnl": float(net.sum()),
}
def compute_metrics(
equity: pd.Series,
trades: pd.DataFrame | None,
bars_per_year: float,
*,
segment: str = "all",
position: pd.Series | None = None,
) -> Metrics:
"""Assemble the full metric set for one equity slice."""
equity = equity.dropna()
m = Metrics(
segment=segment,
start_ts=str(equity.index[0]) if len(equity) else None,
end_ts=str(equity.index[-1]) if len(equity) else None,
bars=int(len(equity)),
total_return=total_return(equity),
cagr=cagr(equity, bars_per_year),
sharpe=sharpe(equity, bars_per_year),
sortino=sortino(equity, bars_per_year),
max_drawdown=max_drawdown(equity),
volatility=volatility(equity, bars_per_year),
exposure=exposure(position) if position is not None else 0.0,
)
for k, v in trade_stats(trades).items():
setattr(m, k, v)
return m
# --------------------------------------------------------------------------
# Forecast quality (used by comparisons/ in Phase 2)
# --------------------------------------------------------------------------
def calibration_coverage(
actual: pd.Series, lower: pd.Series, upper: pd.Series
) -> float:
"""Empirical coverage: share of actuals inside [lower, upper].
A well-calibrated q10-q90 band should cover ~0.80 of outcomes.
"""
df = pd.concat([actual, lower, upper], axis=1).dropna()
if df.empty:
return float("nan")
a, lo, hi = df.iloc[:, 0], df.iloc[:, 1], df.iloc[:, 2]
return float(((a >= lo) & (a <= hi)).mean())
def calibration_error(coverage: float, nominal: float = 0.80) -> float:
"""Signed miss against the nominal band width. 0.0 is perfect."""
if not math.isfinite(coverage):
return float("nan")
return float(coverage - nominal)
def directional_accuracy(actual_next: pd.Series, predicted_next: pd.Series,
reference: pd.Series) -> float:
"""Share of *directional calls* that matched the realised direction.
Bars where the forecast is exactly flat are excluded, not counted as
misses. A random-walk forecast predicts "no change" every bar; it is never
wrong about direction because it never claims one. Scoring it 0% would say
it is always wrong, which is a different and false statement. When a model
never takes a side, its directional accuracy is undefined and returns NaN.
"""
df = pd.concat([actual_next, predicted_next, reference], axis=1).dropna()
if df.empty:
return float("nan")
a, p, ref = df.iloc[:, 0], df.iloc[:, 1], df.iloc[:, 2]
actual_dir = np.sign(a - ref)
pred_dir = np.sign(p - ref)
mask = (actual_dir != 0) & (pred_dir != 0)
if not mask.any():
return float("nan")
return float((actual_dir[mask] == pred_dir[mask]).mean())
def pinball_loss(actual: pd.Series, pred: pd.Series, q: float) -> float:
"""Quantile (pinball) loss -- lower is better."""
df = pd.concat([actual, pred], axis=1).dropna()
if df.empty:
return float("nan")
a, p = df.iloc[:, 0], df.iloc[:, 1]
diff = a - p
return float(np.maximum(q * diff, (q - 1) * diff).mean())