#!/usr/bin/env python3
"""Generate exact V3 data; no plotted or simulated physical measurements."""
import csv,json,sys
from pathlib import Path
from math import comb,ceil
ROOT=Path(__file__).resolve().parents[1]
sys.path.insert(0,str(ROOT/'src'))
from noulith.third import (example_point,predicted_rank,direct_block_rank,optimal_calibration_subfamily,
 calibration_classes,certify_scalar,component_equations,all_components)
from noulith.algebra import TwistedAlgebra

def table(name,fields,rows):
 with (ROOT/'data'/name).open('w',newline='') as f:
  w=csv.DictWriter(f,fieldnames=fields);w.writeheader();w.writerows(rows)

def main():
 rows=[]
 for m in range(6,31):
  E=optimal_calibration_subfamily(m)
  rows.append(dict(m=m,edge_parameters=comb(m,2),star_components=m,triangle_components=comb(m,3),
   twin_components=comb(m,2),total_components=m+comb(m+1,3),
   minimum_calibration_constraints=len(E),remaining_scale_classes=len(calibration_classes(m,E))))
 table('v3_component_and_budget_counts.csv',list(rows[0]),rows)
 kinds=['origin','star','triangle','twin','uniform_star','star_twin','edge','double_star','generic']
 rows=[]
 for m in [6,7,8]:
  for kind in kinds:
   q=example_point(m,kind);r=direct_block_rank(m,q,m-3)
   assert r==predicted_rank(m,q)
   rows.append(dict(m=m,stratum=kind,state_dimension=2**m,rank=r,nullity=2**m-r))
 table('v3_exact_rank_strata.csv',list(rows[0]),rows)
 components=[]
 for c in all_components(6):
  M=component_equations(6,c)
  components.append({'type':c[0],'labels_zero_based':c[1],'dimension':15-M.rank(),
    'linear_equations_ascending_edges':[[int(x) for x in M.row(i)] for i in range(M.rows)]})
 (ROOT/'data/v3_components_m6.json').write_text(json.dumps(components,indent=2)+'\n')
 certs=[]
 for kind in kinds:
  q=example_point(6,kind);c=certify_scalar(6,q)
  entry={'stratum':kind,'visible':c.visible,'motif':c.motif,
    'normalized_response':str(c.normalized_response),'containing_components':c.components}
  if c.visible:
   alg=TwistedAlgebra(6,q);b=c.full_partition(6);raw=alg.isolated_response(b)
   assert raw==alg.isolated_unit(b)*c.normalized_response
   entry['raw_word_response']=str(raw);entry['partition_masks']=b
  certs.append(entry)
 (ROOT/'data/v3_visibility_certificates.json').write_text(json.dumps(certs,indent=2)+'\n')
 print('Generated component counts, exact rank strata, linear equations, and raw-word certificates.')
if __name__=='__main__':main()