tests/test_kernel.py

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)