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| import numpy as np | |
| from symbolic_recursion.coherence import benchmark_operators, coherence_retention | |
| from symbolic_recursion.kernel import MetaOperator, SymbolicRecursionKernel, composite_q, run_worked_examples | |
| def test_composite_q(): | |
| q = composite_q(1.0, 2.0, 3.0, 4.0) | |
| assert q == 10.0 | |
| def test_kernel_integration_bounded(): | |
| t = np.linspace(0, 5, 100) | |
| f = np.sin(t) + np.cos(t) | |
| k = SymbolicRecursionKernel(a=1.0) | |
| dx = k.integrate_series(f, dt=t[1] - t[0]) | |
| assert len(dx) == len(f) | |
| assert np.all(np.isfinite(dx)) | |
| def test_meta_operator(): | |
| m = MetaOperator(b=0.091) | |
| out = m.apply_series(np.ones(50) * 0.1, dt=0.01) | |
| assert out[-1] > 0 | |
| def test_worked_examples_all_modes(): | |
| results = run_worked_examples(n_points=100) | |
| assert set(results.keys()) == {"oscillatory", "decaying", "accelerating", "fractal_impulse", "hybrid_echo"} | |
| for r in results.values(): | |
| assert "bounded" in r | |
| def test_coherence_retention_identity(): | |
| x = np.sin(np.linspace(0, 10, 200)) | |
| score = coherence_retention(x, x) | |
| assert score > 0.9 | |
| def test_benchmark_returns_20_operators(): | |
| rows = benchmark_operators(n_points=200) | |
| assert len(rows) == 20 | |
| assert all("gain_pct" in r for r in rows) |