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Running on Zero
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46f1a78 27c0524 46f1a78 27c0524 46f1a78 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 | """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())
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