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"""Independent complex SciPy solve and 12/24 system-mode retention checks."""
from pathlib import Path
import json
import numpy as np
from assembly import solve
ROOT=Path(__file__).resolve().parents[1];errs=[];retention=[]
for row in json.loads((ROOT/'data/dynamics/power_harmonic.json').read_text()):
    chain=[]
    for id in row['component_ids']:
        c=json.loads((ROOT/'web/data'/f'{id}.json').read_text());chain.append({k:np.array(v) if isinstance(v,list) else v for k,v in c.items()})
    h=row['harmonic'];references=[]
    for nm in [12,24]:
        r=solve(chain,row['rolls'],supports=row['supports'],nmodes=nm)
        w0=2*np.pi*r['frequency'];probe=r['modes'][6*h['node']+h['axis']];b=r['modes'][6*h['damper']['node']+h['damper']['axis']]
        vals=[]
        for sample in h['sweep']:
            w=2*np.pi*sample['frequency'];C=np.diag(2*h['zeta']*w0)+h['damper']['c']*np.outer(b,b)
            value=abs(probe@np.linalg.solve(np.diag(w0*w0-w*w)+1j*w*C,probe*h['force']));vals.append(value)
            if nm==12:errs.append(abs(value-sample['withDamper'])/max(value,1e-12))
        references.append(np.array(vals))
    retention.append(float(np.max(abs(references[0]-references[1]))/max(1e-12,np.max(references[1]))))
report=dict(passed=max(errs)<1e-5 and max(retention)<.02,cases=12,independent_solve_max_relative_error=max(errs),retention_12_vs_24_max_peak_normalized_error=max(retention))
(ROOT/'reports/power_harmonic_validation.json').write_text(json.dumps(report,indent=2));print(report);assert report['passed']