#!/usr/bin/env python3
"""Separate implementations; deliberately does not import model.py.

Exact Fraction matrices and high-precision evaluations provide finite audit
coverage. High-precision arithmetic is not presented as an interval proof.
"""
from fractions import Fraction as F
from pathlib import Path
import json
import random
import mpmath as mp

ROOT=Path(__file__).resolve().parents[1]
random.seed(19311020)
checks=[]

def chk(name, ok):
    checks.append({'name':name,'passed':bool(ok)})
    if not ok: raise AssertionError(name)

def mv(matrix,vector):
    return [sum((a*b for a,b in zip(row,vector)),F(0)) for row in matrix]

def eye():
    return [[F(int(i==j)) for j in range(4)] for i in range(4)]

filter_matrix=[[F(0),F(1),F(0),F(0)],
               [F(0),F(0),F(0),F(0)],
               [F(1),F(0),F(1),F(0)],
               [F(0),F(0),F(0),F(1)]]
for case in range(80):
    state=[F(1),F(0),F(0),F(0)]
    remaining=F(1)
    for block in range(random.randrange(1,7)):
        survive=F(1)
        for j in range(random.randrange(1,12)):
            p=F(random.randrange(1,13),13)
            mm=eye(); mm[0][0]=1-p; mm[1][0]=p
            state=mv(filter_matrix,mv(mm,state))
            survive*=p
        b=F(random.randrange(1,17),17)
        commit=[[1-b,F(1),F(1),F(0)],
                [F(0),F(0),F(0),F(0)],
                [F(0),F(0),F(0),F(0)],
                [b,F(0),F(0),F(1)]]
        state=mv(commit,state)
        remaining*=1-b*survive
    chk(f'exact_multibatch_matrices_{case}',
        state==[remaining,F(0),F(0),1-remaining] and sum(state)==1)

mp.mp.dps=70
data=json.loads((ROOT/'results'/'verification.json').read_text())
for row in data['dose_table']:
    if row['m'] not in [3,4,8,16,64,256]: continue
    m=row['m']; u=mp.mpf(str(row['action']))
    value=mp.fprod(1-mp.exp(-u*(1-mp.cos(mp.pi*(2*j-1)/m))) for j in range(m))
    chk(f'independent_70digit_midpoint_{m}_{row["q"]}',abs(value-mp.mpf(str(row['q'])))<mp.mpf('2e-12'))
for q_string,c in data['cubic_constants'].items():
    c=mp.mpf(str(c))
    value=mp.fprod((1-mp.exp(-c*mp.pi**2*(2*r+1)**2/2))**2 for r in range(100))
    chk(f'independent_70digit_limit_{q_string}',abs(value-mp.mpf(q_string))<mp.mpf('1e-13'))

out={'project':'EVE / ELYRION III','imports_main_implementation':False,
     'tests_passed':sum(x['passed'] for x in checks),'tests_total':len(checks),
     'mpmath_decimal_digits':mp.mp.dps,
     'status':'Exact rational and high-precision finite audit; not external review or interval proof.',
     'tests':checks}
(ROOT/'results'/'independent_audit.json').write_text(json.dumps(out,indent=2))
print(f'Independent audit: {out["tests_passed"]}/{out["tests_total"]} checks passed')