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"""``SUBSTITUTE_V1`` — sample a new typed value for a node (§10.4).
The substitute is drawn from the node's typed domain, deterministically seeded:
* **numeric** (a plot point's ``y``, a table cell, a geometry measure) — a
value within the source range and at the source precision, distinct from the
current value.
* **category** (a series / entity label) — a label that does not collide with
any existing label.
* **geometry** — after the substitute, the constraint graph must stay feasible
(no contradiction); :mod:`feasibility` guards this.
* **multiple choice** — when the problem is multiple-choice, the *new* answer
the executor computes on the substituted world must match **exactly one** of
the unchanged choices. A substitute that drives the answer out of the choice
set (zero or >1 matches) is rejected (P5 gate: "objective choice outside
unchanged choices reject").
The operator never labels the resulting state — it only validates that the
substitute is *admissible*; P7 derives ``A_SAME`` / ``A_CHANGED`` by execution.
"""
from __future__ import annotations
import hashlib
import math
from collections.abc import Iterator, Sequence
from fractions import Fraction
from typing import Any
from ..dsl.ast import Dsl, Program, canonical_number_str, parse_number
from ..executors.base import Executor, match_choice
from ..ingest.base import Choice
from ..sources.base import World
from ..sources.world_ops import (
clone_world,
find_point,
find_row,
find_series,
find_stating_constraint,
is_geometry,
looks_numeric,
node_kind,
world_sha256,
)
from .base import (
InterventionError,
OperatorName,
TransformedWorld,
_set_value,
transformed_hash,
)
from .feasibility import FeasibilityError, is_feasible
_NAME: OperatorName = "SUBSTITUTE_V1"
class SubstituteOperator:
"""Substitute a seeded, typed, admissible new value onto ``target_node``."""
name = _NAME
def apply(
self,
world: World,
target_node: str,
*,
seed: int,
dsl: Dsl,
executor: Executor | None = None,
program: Program | None = None,
choices: Sequence[Choice] = (),
answer_type: str = "",
**_kwargs: Any,
) -> TransformedWorld:
kind = node_kind(world, target_node)
if kind is None:
raise InterventionError(f"SUBSTITUTE_V1: target {target_node!r} is not a world node")
value, desc = _sample_value(world, target_node, kind, seed)
new = clone_world(world)
if not _set_value(new, target_node, value):
raise InterventionError(
f"SUBSTITUTE_V1: target {target_node!r} has no mutable value site"
)
if is_geometry(new):
try:
is_feasible(new, dsl=dsl)
except FeasibilityError as exc:
raise InterventionError(
f"SUBSTITUTE_V1: infeasible substitute on {target_node!r}: {exc}"
) from exc
# Multiple-choice admissibility: the new answer must be exactly one of
# the unchanged choices (§10.4). This is a feasibility check, not a
# state label — the operator still does not assign state.
if answer_type == "multiple_choice":
_assert_choice_admissible(new, executor, program, choices, target_node)
return TransformedWorld(
world=new,
operator=_NAME,
target_node=target_node,
seed=seed,
transformed_world_sha256=transformed_hash(
operator=_NAME,
target_node=target_node,
seed=seed,
source_world_sha256=world_sha256(world),
transformed_world_sha256=world_sha256(new),
hidden_nodes=frozenset(),
substitute_value=value,
),
hidden_nodes=frozenset(),
substitute_value=value,
description=desc,
)
# --- admissibility ---------------------------------------------------------
def _assert_choice_admissible(
world: World,
executor: Executor | None,
program: Program | None,
choices: Sequence[Choice],
target_node: str,
) -> None:
if executor is None or program is None:
raise InterventionError(
"SUBSTITUTE_V1: multiple-choice admissibility requires an executor and program"
)
result = executor.execute(program, world=world)
if result.status != "UNIQUE":
raise InterventionError(
f"SUBSTITUTE_V1: {target_node!r} substitute made the answer "
f"non-unique ({result.status}); rejected"
)
keys = match_choice(result.answer_value, choices, "multiple_choice")
if len(keys) != 1:
raise InterventionError(
f"SUBSTITUTE_V1: new answer {result.answer_canonical!r} matches "
f"{len(keys)} unchanged choices (must be exactly one); rejected"
)
# --- typed sampling --------------------------------------------------------
def _sample_value(world: World, node_id: str, kind: str, seed: int) -> tuple[str, str]:
if kind == "point":
return _sample_point_y(world, node_id, seed)
if kind == "series":
return _sample_series_label(world, node_id, seed)
if kind == "row":
return _sample_row_cell(world, node_id, seed)
if kind == "constraint":
return _sample_geometry_measure(world, node_id, seed)
if kind == "entity":
return _sample_entity_label(world, node_id, seed)
raise InterventionError(f"SUBSTITUTE_V1: no sampler for kind {kind!r}")
def _sample_point_y(world: World, pid: str, seed: int) -> tuple[str, 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 []
values = [_frac(q.get("y", "0")) for q in siblings]
cur = _frac(p.get("y", "0"))
lo = min(values) if values else cur
hi = max(values) if values else cur
new = _seeded_in_range(seed, pid, "point_y", lo, hi, {cur})
return canonical_number_str(new), f"substitute point {pid} y → {new}"
def _sample_row_cell(world: World, rid: str, seed: int) -> tuple[str, 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))
cur = _frac(cells[key])
# Range across the same column in every row, if identifiable by shared key.
col_vals = [
_frac(row_.get("cells", {}).get(key, cells[key]))
for row_ in (world.get("rows", []) or [])
if key in (row_.get("cells", {}) or {})
]
lo = min(col_vals) if col_vals else cur
hi = max(col_vals) if col_vals else cur
new = _seeded_in_range(seed, rid, f"cell:{key}", lo, hi, {cur})
return canonical_number_str(new), f"substitute row {rid} cell {key} → {new}"
def _sample_series_label(world: World, sid: str, seed: int) -> tuple[str, str]:
series = find_series(world, sid)
if series is None:
raise InterventionError(f"series {sid!r} not found")
_sidx, s = series
existing = {str(t.get("label", "")) for t in world.get("series", []) or []}
cur = str(s.get("label", sid))
prefix = _label_prefix(cur)
for n in _seeded_offsets(seed, sid, "label", span=1000):
cand = f"{prefix}_{n}"
if cand not in existing:
return cand, f"substitute series {sid} label → {cand}"
raise InterventionError(f"series {sid!r}: no non-colliding label found")
def _sample_geometry_measure(world: World, entity: str, seed: int) -> tuple[str, 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 [])
pred = c.get("predicate")
if pred == "MeasureOf" and len(args) >= 2:
cur = _frac(args[1])
elif pred == "Equals" and len(args) == 2:
cur = _frac(args[1]) if looks_numeric(args[1]) else _frac(args[0])
else:
raise InterventionError(f"stating constraint for {entity!r} is not numeric")
# Geometry measures are unbounded; sample a distinct integer near the source
# (feasibility, not range, is the binding constraint here).
new = cur + Fraction(next(_seeded_offsets(seed, entity, "measure", span=200)) - 100)
return canonical_number_str(new), f"substitute measure {entity} → {new}"
def _sample_entity_label(world: World, eid: str, seed: int) -> tuple[str, str]:
entity = next((e for e in world.get("entities", []) or [] if e.get("id") == eid), None)
if entity is None:
raise InterventionError(f"entity {eid!r} not found")
cur = str(entity.get("label", entity.get("id", eid)))
existing = {str(e.get("label", e.get("id", ""))) for e in world.get("entities", []) or []}
prefix = _label_prefix(cur)
for n in _seeded_offsets(seed, eid, "elabel", span=1000):
cand = f"{prefix}_{n}"
if cand not in existing:
return cand, f"substitute entity {eid} label → {cand}"
raise InterventionError(f"entity {eid!r}: no non-colliding label found")
# --- seeded helpers (deterministic, Math.random-free) ----------------------
def _seeded_in_range(
seed: int, tag: str, kind: str, lo: Fraction, hi: Fraction, exclude: set[Fraction]
) -> Fraction:
"""A deterministic integer in ``[lo, hi]`` (extended by ±1 when degenerate),
not in ``exclude``, at source integer precision."""
lo_i = int(lo)
hi_i = int(hi)
if hi_i < lo_i:
lo_i, hi_i = hi_i, lo_i
if hi_i - lo_i < 1: # degenerate range: relax by ±1 to allow a distinct value
lo_i -= 1
hi_i += 1
span = hi_i - lo_i + 1
# An affine full-cycle permutation needs at most ``len(exclude) + 1``
# probes to find a non-excluded integer. Never enumerate a numeric range:
# PlotQA values can make ``span`` billions wide.
for probe, n in enumerate(_seeded_offsets(seed, tag, kind, span=span)):
if probe > len(exclude):
break
cand = Fraction(lo_i + (n % (hi_i - lo_i + 1)))
if cand not in exclude:
return cand
raise InterventionError(f"no in-range substitute for {tag!r} ({kind})")
def _seeded_offsets(seed: int, tag: str, kind: str, *, span: int) -> Iterator[int]:
"""Yield a deterministic O(1)-memory permutation of ``[0, span)``."""
span = max(span, 1)
digest = hashlib.sha256(f"{seed}|{tag}|{kind}|affine-v1".encode()).digest()
start = int.from_bytes(digest[:16], "big") % span
step = int.from_bytes(digest[16:], "big") % span
if step == 0:
step = 1
while math.gcd(step, span) != 1:
step = (step + 1) % span
if step == 0:
step = 1
for index in range(span):
yield (start + index * step) % span
def _frac(value: Any) -> Fraction:
return parse_number(value)
def _label_prefix(label: str) -> str:
return label.rstrip("0123456789_") or label or "node"
__all__ = ["SubstituteOperator"]