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e1ced61 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 | """``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"]
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