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"""No-API validation, released-data alignment, and run statistics."""
from __future__ import annotations
import json
import re
from collections import Counter
from pathlib import Path
from typing import Any
from .store import sha256_payload
from .surface import IDENTIFIER_RE, SURFACE_FAMILIES
REQUIRED_TOP_LEVEL = {
"index",
"question",
"solution",
"vars",
"params",
"sci_consts",
"variants",
"problem_type",
}
def load_dataset(dataset_dir: Path) -> dict[str, dict[str, Any]]:
records: dict[str, dict[str, Any]] = {}
for path in sorted(dataset_dir.glob("*.json")):
record = json.loads(path.read_text(encoding="utf-8"))
item_id = str(record.get("index", ""))
if not item_id:
raise ValueError(f"{path}: missing index")
if item_id in records:
raise ValueError(f"duplicate dataset ID {item_id}")
records[item_id] = record
return records
def normalize_latex_symbol(value: str) -> str:
"""Normalize notation aliases used in the released rename maps.
The public records sometimes contain both ``x_n`` and ``x_{n}``, or use a
different number of escaped backslashes between the symbol inventory and a
map key. These are representation aliases, not two mathematical symbols.
This normalization is deliberately used only for diagnostics; it never
rewrites released text.
"""
normalized = re.sub(r"\\\\+", r"\\", str(value))
normalized = re.sub(r"\s+", "", normalized)
previous = None
while previous != normalized:
previous = normalized
normalized = re.sub(r"_\{([^{}]+)\}", r"_\1", normalized)
return normalized
def validate_public_dataset(dataset_dir: Path) -> dict[str, Any]:
records = load_dataset(dataset_dir)
errors: list[str] = []
warnings: list[str] = []
family_counts: Counter[str] = Counter()
kernel_metadata_counts: Counter[str] = Counter()
potential_target_collision_count = 0
unchanged_mapping_count = 0
tex_target_count = 0
alias_source_count = 0
source_outside_inventory_count = 0
for item_id, record in records.items():
missing = REQUIRED_TOP_LEVEL - set(record)
if missing:
errors.append(f"{item_id}: missing top-level fields {sorted(missing)}")
continue
if not record["question"].strip() or not record["solution"].strip():
errors.append(f"{item_id}: empty canonical question or solution")
expected_symbols = set(record.get("vars", [])) | set(record.get("params", []))
normalized_expected = {
normalize_latex_symbol(value) for value in expected_symbols
}
variants = record["variants"]
for family in SURFACE_FAMILIES:
family_counts[family] += int(family in variants)
if family not in variants:
errors.append(f"{item_id}: missing surface family {family}")
continue
variant = variants[family]
missing_variant = {"map", "question", "solution"} - set(variant)
if missing_variant:
errors.append(
f"{item_id}/{family}: missing fields {sorted(missing_variant)}"
)
continue
rename_map = variant["map"]
canonical_sources: dict[str, str] = {}
missing_sources: list[str] = []
for source in rename_map:
normalized_source = normalize_latex_symbol(source)
canonical_sources[source] = normalized_source
if source not in expected_symbols and normalized_source in normalized_expected:
alias_source_count += 1
elif normalized_source not in normalized_expected:
missing_sources.append(source)
source_outside_inventory_count += 1
if missing_sources:
warnings.append(
f"{item_id}/{family}: map sources absent from normalized "
f"symbol inventory {sorted(missing_sources)}"
)
# Alias keys such as x_n and x_{n} are one source. A collision is
# counted only if two distinct normalized sources share a target.
target_to_sources: dict[str, set[str]] = {}
for source, replacement in rename_map.items():
target_to_sources.setdefault(
normalize_latex_symbol(replacement), set()
).add(canonical_sources[source])
if normalize_latex_symbol(source) == normalize_latex_symbol(
replacement
):
unchanged_mapping_count += 1
if not IDENTIFIER_RE.fullmatch(str(replacement)):
tex_target_count += 1
if not str(replacement).strip():
errors.append(f"{item_id}/{family}: empty replacement target")
potential_target_collision_count += sum(
len(sources) - 1
for sources in target_to_sources.values()
if len(sources) > 1
)
if "kernel_variant" not in variants:
errors.append(f"{item_id}: missing kernel_variant")
else:
family_counts["kernel_variant"] += 1
kernel = variants["kernel_variant"]
if not str(kernel.get("question", "")).strip():
errors.append(f"{item_id}/kernel_variant: empty question")
if not str(kernel.get("solution", "")).strip():
errors.append(f"{item_id}/kernel_variant: empty solution")
if "_meta" in kernel:
kernel_metadata_counts["_meta"] += 1
if "metadata" in kernel:
kernel_metadata_counts["metadata"] += 1
if "_replacement_note" in kernel:
kernel_metadata_counts["_replacement_note"] += 1
return {
"dataset_dir": str(dataset_dir.resolve()),
"record_count": len(records),
"expected_record_count": 1051,
"record_count_matches": len(records) == 1051,
"family_counts": dict(family_counts),
"kernel_metadata_shapes": dict(kernel_metadata_counts),
"surface_map_checks": {
"potential_target_collision_count": potential_target_collision_count,
"unchanged_mapping_count": unchanged_mapping_count,
"tex_or_structured_target_count": tex_target_count,
"notation_alias_source_count": alias_source_count,
"source_outside_normalized_inventory_count": (
source_outside_inventory_count
),
"interpretation": (
"TeX/structured targets, notation aliases, and potential "
"target collisions are descriptive diagnostics, not validation "
"errors. Strict rules apply only to newly generated maps."
),
},
"errors": errors,
"warnings": warnings,
"valid": not errors,
}
def normalize_text(value: str) -> str:
return re.sub(r"\s+", " ", value).strip()
def summarize_run(run_dir: Path) -> dict[str, Any]:
finals = sorted(run_dir.glob("items/*/final.json"))
counts: Counter[str] = Counter()
iterations: list[int] = []
first_round_failed = 0
repaired_accepts = 0
cap_reached = 0
accepted_ids: list[str] = []
rejected_ids: list[str] = []
for path in finals:
payload = json.loads(path.read_text(encoding="utf-8"))
status = str(payload["status"])
counts[status] += 1
item_id = str(payload["item_id"])
history = payload.get("iterations", [])
iterations.append(len(history))
if history and not history[0].get("unanimous", False):
first_round_failed += 1
if status == "accepted":
accepted_ids.append(item_id)
if any(row.get("repaired", False) for row in history):
repaired_accepts += 1
else:
rejected_ids.append(item_id)
if len(history) >= 15:
cap_reached += 1
return {
"run_dir": str(run_dir.resolve()),
"candidate_count": len(finals),
"status_counts": dict(counts),
"failed_first_unanimous_vote": first_round_failed,
"accepted_after_repair": repaired_accepts,
"finally_rejected": counts["rejected"],
"reached_iteration_cap": cap_reached,
"iteration_min": min(iterations) if iterations else None,
"iteration_max": max(iterations) if iterations else None,
"iteration_mean": sum(iterations) / len(iterations) if iterations else None,
"accepted_ids": accepted_ids,
"rejected_ids": rejected_ids,
}
def align_run_to_release(run_dir: Path, dataset_dir: Path) -> dict[str, Any]:
release = load_dataset(dataset_dir)
rows = []
for path in sorted(run_dir.glob("items/*/final.json")):
payload = json.loads(path.read_text(encoding="utf-8"))
if payload.get("status") != "accepted":
continue
item_id = str(payload["item_id"])
candidate = payload["accepted_candidate"]
if item_id not in release:
rows.append({"item_id": item_id, "status": "missing_from_release"})
continue
released_kernel = release[item_id]["variants"]["kernel_variant"]
question_exact = candidate["problem"] == released_kernel["question"]
solution_exact = candidate["proof"] == released_kernel["solution"]
question_normalized = normalize_text(candidate["problem"]) == normalize_text(
released_kernel["question"]
)
solution_normalized = normalize_text(candidate["proof"]) == normalize_text(
released_kernel["solution"]
)
rows.append(
{
"item_id": item_id,
"status": (
"exact_match"
if question_exact and solution_exact
else "normalized_match"
if question_normalized and solution_normalized
else "mismatch"
),
"question_exact": question_exact,
"solution_exact": solution_exact,
"question_normalized": question_normalized,
"solution_normalized": solution_normalized,
"candidate_sha256": sha256_payload(
{
"question": candidate["problem"],
"solution": candidate["proof"],
}
),
"release_sha256": sha256_payload(
{
"question": released_kernel["question"],
"solution": released_kernel["solution"],
}
),
}
)
return {
"run_dir": str(run_dir.resolve()),
"dataset_dir": str(dataset_dir.resolve()),
"checked": len(rows),
"status_counts": dict(Counter(row["status"] for row in rows)),
"rows": rows,
}
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