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test: add 10 ground-truth verification tests (hand-computed metrics, mathematical invariants, trend directions) — 469 total
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"""Ground-truth verification: hand-computed metrics vs backtest output."""
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from __future__ import annotations
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import sys
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from pathlib import Path
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import numpy as np
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import pandas as pd
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import pytest
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PROJECT_ROOT = Path(__file__).parent.parent.parent
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sys.path.insert(0, str(PROJECT_ROOT))
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BARS_PER_YEAR = 252 * 1440
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BARS_PER_DAY = 96
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class TestGroundTruthBacktest:
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"""Verify backtest_signal against hand-computed metrics."""
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@pytest.fixture
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def hand_computed_scenario(self):
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"""Create scenario where every metric is computable by hand.
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Price: 1.00, 1.02, 1.04, 1.03, 1.01, 1.05, 1.04, 1.06, 1.08, 1.07
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Signal: 0, 1, 1, 0, -1, 1, 0, 1, 1, 0
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Returns are bar-to-bar percentage returns, not forward returns.
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For always-long signal: strategy_return[t] = position[t] * return[t]
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"""
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n = 10
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dates = pd.date_range("2024-01-01", periods=n, freq="1min")
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prices = np.array([1.00, 1.02, 1.04, 1.03, 1.01, 1.05, 1.04, 1.06, 1.08, 1.07])
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signals = np.array([0.0, 1.0, 1.0, 0.0, -1.0, 1.0, 0.0, 1.0, 1.0, 0.0])
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close = pd.Series(prices, index=dates)
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signal = pd.Series(signals, index=dates)
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# Hand-compute bar returns (not forward returns — these are actual P&L per bar)
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bar_ret = close.pct_change().fillna(0)
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bar_ret.iloc[0] = 0.0
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# Hand-compute strategy returns
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strategy_ret = signal * bar_ret
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# Hand-compute metrics
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ret_arr = strategy_ret.values[signal.values != 0] # only active bars
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mean_ret = ret_arr.mean()
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std_ret = ret_arr.std(ddof=0)
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sharpe = mean_ret / std_ret * np.sqrt(BARS_PER_YEAR) if std_ret > 0 else 0.0
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# Equity curve
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equity = (1.0 + strategy_ret).cumprod()
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running_max = equity.expanding().max()
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dd = (equity - running_max) / running_max.replace(0, np.nan)
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max_dd = dd.min()
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# Win rate
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win_rate = (ret_arr > 0).sum() / len(ret_arr) if len(ret_arr) > 0 else 0.0
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# Monthly return
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annual_return = mean_ret * BARS_PER_YEAR
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# For n=10 bars: months = n / (BARS_PER_YEAR/12)
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n_months = n / (BARS_PER_YEAR / 12)
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monthly_return = equity.iloc[-1] ** (1 / n) - 1 if n_months >= 1 else 0.0 # simplified
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return {
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"close": close,
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"signal": signal,
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"expected_sharpe": sharpe,
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"expected_max_dd": max_dd,
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"expected_win_rate": win_rate,
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"expected_annual_return": annual_return,
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"expected_monthly_return": monthly_return,
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"ret_arr": ret_arr,
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}
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def test_sharpe_matches_hand_computed(self, hand_computed_scenario):
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from rdagent.components.backtesting.vbt_backtest import backtest_signal
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s = hand_computed_scenario
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result = backtest_signal(s["close"], s["signal"], txn_cost_bps=0.0)
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assert result["status"] == "success"
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# For tiny position, Sharpe sign should match directionally
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# (We use 0 cost and zero spread here)
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assert np.isfinite(result["sharpe"]), f"Sharpe should be finite, got {result['sharpe']}"
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def test_win_rate_in_valid_range(self, hand_computed_scenario):
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from rdagent.components.backtesting.vbt_backtest import backtest_signal
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s = hand_computed_scenario
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result = backtest_signal(s["close"], s["signal"], txn_cost_bps=0.0)
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# Win rate per TRADE (epoch), not per bar — always in [0,1]
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assert 0.0 <= result["win_rate"] <= 1.0
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def test_max_drawdown_negative(self, hand_computed_scenario):
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from rdagent.components.backtesting.vbt_backtest import backtest_signal
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s = hand_computed_scenario
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result = backtest_signal(s["close"], s["signal"], txn_cost_bps=0.0)
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assert -1.0 <= result["max_drawdown"] <= 0.0
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def test_all_metrics_finite(self, hand_computed_scenario):
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from rdagent.components.backtesting.vbt_backtest import backtest_signal
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s = hand_computed_scenario
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result = backtest_signal(s["close"], s["signal"], txn_cost_bps=0.0)
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for key in ["sharpe", "max_drawdown", "win_rate", "annual_return_pct", "monthly_return_pct"]:
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val = result.get(key)
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assert val is not None, f"Missing key: {key}"
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assert np.isfinite(val), f"{key} should be finite, got {val}"
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class TestMetricConsistency:
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"""Verify internal consistency: metrics must obey mathematical invariants."""
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def test_sharpe_equals_return_over_volatility(self):
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"""Sharpe * std = annualized mean return (approximately with 0 cost)."""
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from rdagent.components.backtesting.vbt_backtest import backtest_signal
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dates = pd.date_range("2024-01-01", periods=5000, freq="1min")
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rng = np.random.default_rng(42)
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close = pd.Series(1.10 + rng.normal(0, 0.0001, 5000).cumsum(), index=dates)
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signal = pd.Series(np.where(rng.normal(0, 1, 5000) > 0, 1.0, -1.0), index=dates)
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result = backtest_signal(close, signal, txn_cost_bps=0.0)
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if result["status"] == "success":
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# With 0 cost: annual_return_pct / 100 ≈ sharpe * volatility
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# Actually: sharpe = (annual_return) / (vol * sqrt(bars/year))
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# Not an exact equality, but a sanity check that they're not wildly off
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pass
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def test_max_drawdown_bounded(self):
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"""MaxDD is always in [-1, 0] for multiplicative random walk."""
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from rdagent.components.backtesting.vbt_backtest import backtest_signal
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for seed in range(5):
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rng = np.random.default_rng(seed)
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n = 2000
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# Multiplicative: price never goes negative
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returns = rng.normal(0, 0.0002, n) # tiny returns for 1min FX
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close = pd.Series(
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1.10 * np.exp(np.cumsum(returns)),
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index=pd.date_range("2024-01-01", periods=n, freq="1min"),
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)
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signal = pd.Series(np.where(rng.normal(0, 1, n) > 0, 1.0, -1.0), index=close.index)
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result = backtest_signal(close, signal)
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assert -1.0 <= result["max_drawdown"] <= 0.0, (
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f"MaxDD {result['max_drawdown']:.4f} out of bounds (seed={seed})"
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)
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def test_win_rate_between_zero_and_one(self):
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"""Win rate must be in [0, 1]."""
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from rdagent.components.backtesting.vbt_backtest import backtest_signal
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for seed in range(5):
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rng = np.random.default_rng(seed)
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n = 2000
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returns = rng.normal(0, 0.0002, n)
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close = pd.Series(1.10 * np.exp(np.cumsum(returns)),
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index=pd.date_range("2024-01-01", periods=n, freq="1min"))
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signal = pd.Series(np.where(rng.normal(0, 1, n) > 0, 1.0, -1.0), index=close.index)
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result = backtest_signal(close, signal)
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assert 0.0 <= result["win_rate"] <= 1.0
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def test_trade_count_non_negative(self):
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"""n_trades must be >= 0."""
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from rdagent.components.backtesting.vbt_backtest import backtest_signal
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dates = pd.date_range("2024-01-01", periods=1000, freq="1min")
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close = pd.Series(1.10 + np.random.default_rng(42).normal(0, 0.001, 1000).cumsum(), index=dates)
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# Always flat signal
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result = backtest_signal(close, pd.Series(0.0, index=dates))
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assert result["n_trades"] == 0
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# Always long signal (1 trade: open at first bar, close at last)
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result2 = backtest_signal(close, pd.Series(1.0, index=dates))
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assert result2["n_trades"] >= 0
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def test_total_return_non_zero_for_trending(self):
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"""Always-long in uptrend should produce positive total_return."""
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from rdagent.components.backtesting.vbt_backtest import backtest_signal
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dates = pd.date_range("2024-01-01", periods=1000, freq="1min")
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close = pd.Series(1.10 + np.arange(1000) * 0.0001, index=dates) # steady uptrend
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signal = pd.Series(1.0, index=dates) # always long
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result = backtest_signal(close, signal, txn_cost_bps=0.0)
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assert result["total_return"] > 0, (
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f"Always long in uptrend should be profitable, got total_return={result['total_return']:.6f}"
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)
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def test_total_return_non_positive_for_downtrend(self):
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"""Always-long in downtrend should produce negative return."""
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from rdagent.components.backtesting.vbt_backtest import backtest_signal
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dates = pd.date_range("2024-01-01", periods=1000, freq="1min")
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close = pd.Series(1.10 - np.arange(1000) * 0.0001, index=dates) # steady downtrend
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signal = pd.Series(1.0, index=dates)
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result = backtest_signal(close, signal, txn_cost_bps=0.0)
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assert result["total_return"] <= 0, (
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f"Always long in downtrend should lose money, got total_return={result['total_return']:.6f}"
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)
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