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| """Hand-computed positive/negative certificates for the reusable exact solver.""" | |
| from pathlib import Path | |
| import json | |
| from precision_frontier import analyze | |
| checks=0 | |
| def check(test,label): | |
| global checks | |
| if not test:raise AssertionError(label) | |
| checks+=1 | |
| def run(): | |
| example=json.loads(Path(__file__).with_name('signed_cancellation_input.json').read_text()) | |
| result=analyze(example) | |
| check(result['regime_certified'],'polynomial marginality certificate') | |
| check(result['word_valuations']==[0,0,3,None],'third order canceled word') | |
| check(result['beta']=='6','hand-derived cancellation frontier six') | |
| check(result['precision_power_N']=='1/6','inverse frontier exponent') | |
| check(result['leading_psd_matrices'][2][3][3]=='1','hand-derived leading word square') | |
| # Same nonzero edge pattern, exact cancellation gives square zero. | |
| example['generators'][0][2][3]={'1':'-1'} | |
| protected=analyze(example) | |
| check(protected['regime_certified'],'protected marginality') | |
| check(protected['beta']=='infinity','exact protected cancellation') | |
| # Analytic moving image/kernel flag, no fixed one-dimensional invariant flag. | |
| moving={'generators':[[[{'1':'1'},{'2':'-1'}],[1,{'1':'-1'}]]]} | |
| moved=analyze(moving) | |
| check(moved['regime_certified'],'changing flag nilpotence') | |
| check(moved['word_valuations']==[0,0],'changing flag word depth') | |
| check(moved['beta']=='infinity','changing flag baseline uniform') | |
| # A feedback cycle is marginal only at zero, so the full-family certificate fails. | |
| cycle=analyze({'generators':[[[0,1],[{'1':'1'},0]]]}) | |
| check(not cycle['regime_certified'],'nonmarginal feedback rejected') | |
| check('beta' not in cycle,'no frontier falsely asserted outside regime') | |
| for invalid in [ | |
| {'generators':[]}, | |
| {'generators':[[[1,0]]]}, | |
| {'generators':[[[0]]],'probabilities':['0']}, | |
| {'generators':[[[0]]],'probabilities':['1/2']}, | |
| {'generators':[[[{'-1':'1'}]]]}, | |
| ]: | |
| rejected=False | |
| try:analyze(invalid) | |
| except (ValueError,TypeError):rejected=True | |
| check(rejected,'invalid input rejected') | |
| out={'checks_passed':checks,'failures':0,'method':'hand-derived exact frontier and regime certificates'} | |
| Path(__file__).with_name('frontier_api_results.json').write_text(json.dumps(out,indent=2)+'\n') | |
| print(json.dumps(out)) | |
| if __name__=='__main__':run() | |