research: one-shot Dütsch Re100/KC5 prescribed-oscillation driver (no production change)

protocol.py holds the pure arithmetic (phase/cycle bookkeeping from the right
turning point, 1-degree bins, interval-averaged Morison bases and fit with
added-mass c_i, solid-aware bilinear sampling, settling and common-window
rules). run.py drives the existing Simulation API (set_body + run(1) +
read_force + moving_diagnostics; macroscopic fields and flags only inside the
three phase bins) and writes raw data outside the checkout. analyze.py builds
the cycle ledger, K_case, the common window, Morison fits, Fy sanity and the
cross-resolution waveform difference. CPU tests cover the §6a arithmetic.
Carries the protocol doc from claude/duetsch-protocol 8c1f3c4d.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

tests/unit/test_duetsch_protocol.py

@@ -0,0 +1,61 @@
+"""CPU tests of the Dütsch protocol arithmetic (docs/validation/duetsch_re100_kc5_protocol.md §6a)."""
+import importlib.util
+import math
+from pathlib import Path
+
+import numpy as np
+import pytest
+
+_spec = importlib.util.spec_from_file_location(
+    "duetsch_protocol", Path(__file__).resolve().parents[2] / "research/duetsch_re100_kc5/protocol.py")
+p = importlib.util.module_from_spec(_spec)
+_spec.loader.exec_module(p)
+
+T = 2520
+
+
+def test_phase_and_cycle_bookkeeping():
+    assert p.phase(0, T) == 270.0 and p.cycle(0, T) == 0          # +A, at rest, phi = -90
+    assert p.phase(T // 4, T) == 0.0 and p.cycle(T // 4, T) == 1  # mean position, u = -U_max
+    assert p.position(0, T, 1.0) == 1.0
+    assert p.cycle(T // 4 - 1, T) == 0 and p.cycle(T // 4 + T - 1, T) == 1
+    assert p.cycle(T // 4 + T, T) == 2
+    assert p.phase(T // 6, T) == pytest.approx(330.0) and p.cycle(T // 6, T) == 0  # startup quarter
+    assert p.phase(7 * T // 6, T) == pytest.approx(330.0) and p.cycle(7 * T // 6, T) == 1
+    for ph, frac in ((180.0, .75), (210.0, 5 / 6)):
+        s = round(frac * T) + T
+        assert p.phase(s, T) == pytest.approx(ph) and p.bin_phase(s, T) == ph
+    assert p.bin_phase(round(.75 * T) + T - 1, T) is None
+    assert sum(p.bin_phase(s, T) == 180.0 for s in range(T, 2 * T)) == T // 360
+
+
+def test_settling_and_common_window():
+    passes = {k: True for k in range(3, 12)}
+    assert p.settled_start(passes) == 7                          # pairs 3->4, 4->5, 5->6
+    late = dict(passes, **{5: False})
+    assert p.settled_start(late) == 9                            # pairs 6->7, 7->8, 8->9
+    assert p.common_window([7, 9], [passes, passes]) == (9, 10, 11)
+    assert p.common_window([7, 10], [passes, passes]) is None    # K + 2 = 12 beyond the cap
+    assert p.common_window([7, None], [passes, passes]) is None
+    assert p.common_window([7, 7], [passes, dict(passes, **{8: False})]) is None  # must stay settled
+
+
+def test_solid_aware_bilinear():
+    field = np.arange(16.0).reshape(4, 4)
+    fluid = np.ones((4, 4), bool)
+    value, used = p.bilinear_fluid(field, fluid, 1.25, 1.5)
+    assert value == pytest.approx(0.75 * 0.5 * (5 + 9) + 0.25 * 0.5 * (6 + 10))
+    fluid[1, 1] = False                                           # one solid corner
+    value, used = p.bilinear_fluid(field, fluid, 1.25, 1.5)
+    assert all(not (i == 1 and j == 1) for i, j, _ in used)
+    assert sum(w for *_, w in used) == pytest.approx(1.0)
+    fluid[:] = False
+    assert p.bilinear_fluid(field, fluid, 1.25, 1.5) == (None, ())
+
+
+def test_interval_bases_and_morison_fit_recover_known_coefficients():
+    b = np.array([p.interval_bases(n, T) for n in range(T // 4, T // 4 + 3 * T)])
+    phi = 2 * np.pi * (np.arange(T // 4, T // 4 + 3 * T) + .5) / T - np.pi / 2
+    assert np.allclose(b[:, 1], np.sin(phi), atol=1e-5)          # midpoint ~ interval mean
+    f = 2.09 * b[:, 0] - (math.pi ** 2 * 1.45 / p.KC) * b[:, 1]
+    assert p.morison_fit(f, b[:, 0], b[:, 1]) == pytest.approx((2.09, 1.45), abs=1e-9)