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"""``U_MISSING`` completion-candidate enumeration (``docs/02`` §11.2).
For a hidden node, the state-proof builder (P7) needs a set of *completion*
worlds — the same world with the hidden node set to each of several valid
alternative values — so it can search for a pair that renders identically (same
observed hash) yet yields different unique answers (the ``U_MISSING`` criterion).
This module provides the deterministic enumeration and the
:func:`~explicit_learning.interventions.base.with_value` re-builder; P7 owns the
pair search itself.
Enumeration is seed-determined and yields ``≥8`` distinct admissible values
(mirroring the §7.3 mutation suite's per-leaf count), each producing a fresh
world via :func:`with_value` so the source world stays immutable.
"""
from __future__ import annotations
from collections.abc import Iterator
from dataclasses import dataclass
from fractions import Fraction
from typing import Any
from ..dsl.ast import canonical_number_str, parse_number
from ..sources.base import World
from ..sources.world_ops import (
find_point,
find_row,
find_stating_constraint,
looks_numeric,
node_kind,
)
from .base import InterventionError, with_value
from .substitute import _seeded_offsets
_DEFAULT_COUNT = 8
@dataclass(frozen=True)
class Completion:
"""One alternative completion of a hidden node."""
world: World
node_id: str
value: str # canonical string form of the alternative value
index: int
def valid_values(
world: World,
hidden_node: str,
*,
seed: int,
count: int = _DEFAULT_COUNT,
) -> list[str]:
"""Enumerate ``count`` distinct admissible values for ``hidden_node``.
Numeric sites (a point's ``y``, a row cell, a geometry measure) yield seeded
distinct rationals near the source range; category sites (a label) yield
non-colliding labels. The values are deterministic in ``(seed, node, count)``.
"""
kind = node_kind(world, hidden_node)
if kind is None:
raise InterventionError(f"completion: {hidden_node!r} is not a world node")
if kind == "point":
return _point_values(world, hidden_node, seed, count)
if kind == "row":
return _row_values(world, hidden_node, seed, count)
if kind == "constraint":
return _measure_values(world, hidden_node, seed, count)
if kind in ("series", "entity"):
return _label_values(world, hidden_node, kind, seed, count)
raise InterventionError(f"completion: no sampler for kind {kind!r}")
def completion_candidates(
world: World,
hidden_node: str,
*,
seed: int,
count: int = _DEFAULT_COUNT,
) -> list[Completion]:
"""``count`` completion worlds for ``hidden_node`` (source world immutable).
Each completion is :func:`with_value` applied to a distinct enumerated value;
the source world is never mutated. Raises :class:`InterventionError` if the
node has no mutable value site.
"""
out: list[Completion] = []
for i, value in enumerate(valid_values(world, hidden_node, seed=seed, count=count)):
out.append(
Completion(
world=with_value(world, hidden_node, value),
node_id=hidden_node,
value=value,
index=i,
)
)
return out
def iter_completions(
world: World, hidden_node: str, *, seed: int, count: int = _DEFAULT_COUNT
) -> Iterator[Completion]:
"""Lazy stream of completions (memory-bounded for large enumerations)."""
for i, value in enumerate(valid_values(world, hidden_node, seed=seed, count=count)):
yield Completion(
world=with_value(world, hidden_node, value),
node_id=hidden_node,
value=value,
index=i,
)
# --- value samplers (distinct, seeded) ------------------------------------
def _point_values(world: World, pid: str, seed: int, count: int) -> list[str]:
point = find_point(world, pid)
if point is None:
raise InterventionError(f"point {pid!r} not found")
sidx, _pidx, p = point
siblings = world["series"][sidx].get("points", []) or []
used = {_frac(q.get("y", "0")) for q in siblings}
cur = _frac(p.get("y", "0"))
return _distinct_near(seed, pid, "comp_point", cur, used, count)
def _row_values(world: World, rid: str, seed: int, count: int) -> list[str]:
row = find_row(world, rid)
if row is None:
raise InterventionError(f"row {rid!r} not found")
_ridx, r = row
cells = r.get("cells", {}) or {}
if not cells:
raise InterventionError(f"row {rid!r} has no cells")
key = next(iter(cells))
used = {
_frac(row_.get("cells", {}).get(key))
for row_ in (world.get("rows", []) or [])
if key in (row_.get("cells", {}) or {}) and looks_numeric(row_.get("cells", {}).get(key))
}
cur = _frac(cells[key])
return _distinct_near(seed, f"{rid}:{key}", "comp_cell", cur, used, count)
def _measure_values(world: World, entity: str, seed: int, count: int) -> list[str]:
found = find_stating_constraint(world, entity)
if found is None:
raise InterventionError(f"no stating constraint for {entity!r}")
_cidx, c = found
args = list(c.get("args") or [])
if c.get("predicate") == "MeasureOf" and len(args) >= 2 or looks_numeric(args[1]):
cur = _frac(args[1])
elif looks_numeric(args[0]):
cur = _frac(args[0])
else:
raise InterventionError(f"stating constraint for {entity!r} is not numeric")
return _distinct_near(seed, entity, "comp_measure", cur, set(), count)
def _label_values(world: World, nid: str, kind: str, seed: int, count: int) -> list[str]:
if kind == "series":
existing = {str(t.get("label", "")) for t in world.get("series", []) or []}
else:
existing = {str(e.get("label", e.get("id", ""))) for e in world.get("entities", []) or []}
out: list[str] = []
for n in _seeded_offsets(seed, nid, "comp_label", span=10_000):
cand = f"node_{n}"
if cand not in existing and cand not in out:
out.append(cand)
if len(out) >= count:
break
if len(out) < count:
raise InterventionError(f"could not enumerate {count} labels for {nid!r}")
return out
def _distinct_near(
seed: int, tag: str, kind: str, cur: Fraction, used: set[Fraction], count: int
) -> list[str]:
"""``count`` distinct rationals near ``cur`` not in ``used`` (seeded)."""
out: list[str] = []
seen: set[Fraction] = {cur, *used}
base = int(cur)
for off in _seeded_offsets(seed, tag, kind, span=2 * count * 20 + 10):
cand = Fraction(base + (off % (4 * count + 20)) - (2 * count + 10))
if cand in seen:
continue
seen.add(cand)
out.append(canonical_number_str(cand))
if len(out) >= count:
break
if len(out) < count:
raise InterventionError(f"could not enumerate {count} distinct values for {tag!r}")
return out
def _frac(value: Any) -> Fraction:
return parse_number(value)
__all__ = ["Completion", "completion_candidates", "iter_completions", "valid_values"]