code/demo.py

"""Small executable example; no optical hardware or external data is needed."""
from pathlib import Path
import numpy as np
from orynthra import (LinearEdge, observable_closure, six_wing_actions,
                       storage_cutoff, symmetric_cutoff, simplex_code,
                       maximum_packed_dimension)


def main() -> None:
    actions = six_wing_actions(36)
    observation = np.eye(36, dtype=int)[0:1]
    five, _ = observable_closure([observation], [LinearEdge(0,0,a) for a in actions[:5]])
    six, _ = observable_closure([observation], [LinearEdge(0,0,a) for a in actions])
    x = np.zeros(36, dtype=int)
    y = x.copy()
    y[6] = 1
    assert np.array_equal(five[0] @ x, five[0] @ y)
    for wing in [5,4,3,2,1,0]:
        x, y = actions[wing] @ x, actions[wing] @ y
    assert x[0] != y[0]
    print("ORYNTHRA-H6: three exact finite demonstrations")
    print(f"36 raw binary coordinates -> {len(five[0])} task coordinates without Kaya.")
    print(f"All six branch generators -> {len(six[0])} task coordinates.")
    print("A hidden seventh coordinate becomes visible under Kaya,Evie,Enya,Raven,Tachy,Lily.")
    print("The task compression intentionally discards unprotected raw distinctions.")
    print()
    for messages in [6,64,256,4096]:
        print(f"M={messages}: two-mode storage cutoff={storage_cutoff(messages,2)}, "
              f"full-permutation coherent cutoff={symmetric_cutoff(messages,2)}")
    v, number, cutoff = simplex_code(6,2)
    print(f"H6 Gram residual: {np.linalg.norm(v.T @ v-np.eye(6)):.3e}")
    print(f"H6 uniform mean photon number: {np.trace(v.T @ number @ v)/6:.12g}")
    matched = maximum_packed_dimension([1,1,4,4],[1,2,3,4])
    print(f"Multiplicity-trap matched dimension: {matched}/10; exact mean defect={2*(1-matched/10):.6g}")


if __name__ == "__main__":
    main()