"""Render certified rational endpoints outwards at six decimal places for the PDF."""
from fractions import Fraction as Q
from pathlib import Path
import json

root=Path(__file__).resolve().parents[1]
records=json.loads((root/'evidence'/'example_certificates.json').read_text())
labels={'phi_fair_q2':r'$\varphi$, fair iid', 'phi_markov_q2':r'$\varphi$, zero-edge Markov',
        'salem_fair_q2':r'Salem, fair iid', 'salem_markov_q2':r'Salem, zero-edge Markov',
        'salem_fair_q3':r'Salem, fair iid', 'variable_phi_q2':r'$\varphi$, unequal clocks',
        'hidden_clock_q2':r'$\varphi$, three-state hidden', 'mixture_cusp_q2':r'Base $2$, stationary mixture',
        'salem_correlated_q2':r'Salem, positive correlated',
        'phi_correlated_q2':r'$\varphi$, positive correlated'}
def endpoint(x,up=False):
    scaled=Q(x)*10**6
    v=-(-scaled.numerator//scaled.denominator) if up else scaled.numerator//scaled.denominator
    return f'{v//10**6}.{v%10**6:06d}'
rows=[]
for record in records:
    if record['name'] not in labels: continue
    c=record['certificate'];lo,hi=c['interval_nats_per_branch']
    rows.append(f"{labels[record['name']]} & {c['depth']} & {c['order']} & {endpoint(lo)} & "
                f"{endpoint(hi,True)} & {c['diagnostics']['max_layer_states']} \\\\")
text='\n'.join([r'\begin{table}[htbp]',r'\centering\small',r'\setlength{\tabcolsep}{4pt}',
               r'\begin{tabular}{lrrrrr}',r'\toprule',
               r'Source / base & $n$ & $q$ & Lower & Upper & Peak states\\',r'\midrule']+rows+
              [r'\bottomrule',r'\end{tabular}',
               r'\caption{Exact-rational rate certificates, displayed outwards to six decimal places. '
               r'Rates are in nats per branch; peak states are observed layer sizes, not asymptotic bounds.}',
               r'\label{tab:certs}',r'\end{table}'])
(root/'manuscript'/'certificate_table.tex').write_text(text+'\n')