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"""Deterministic mutation suite for C2 program equivalence (``docs/02`` §7.3).
§7.3: full-source answer agreement alone cannot filter out a *coincidental*
program, so the mutation suite is mandatory. For each dependency leaf the
proposer program reads, generate ``≥8`` valid alternative mutations of the
world; execute *both* programs on each mutated world and require equal
``(status, answer)``. The suite uses the deterministic P3 executor (no model
calls) and is fully seed-determined: the same ``(world, leaves, seed)`` always
reproduces the same mutations.
Two mutation kinds, both keeping the world well-formed:
* ``SUBSTITUTE`` — replace a leaf's numeric value with a distinct seeded
rational (the program stays ``UNIQUE`` with a different answer).
* ``REDACT`` — remove the leaf (point / row / series / stating constraint); the
program may go ``MISSING_INFORMATION`` / ``INVALID_REFERENT``, but two
equivalent programs diverge identically, so they still agree.
Per leaf the generator emits ``per_leaf`` (default 8) ``SUBSTITUTE`` variants
plus one ``REDACT`` when the leaf is cleanly removable — always ``≥8``.
"""
from __future__ import annotations
import copy
import hashlib
from dataclasses import dataclass
from fractions import Fraction
from typing import Any
from ..dsl.ast import Dsl, canonical_number_str, parse_number
from ..sources.base import World
from ..sources.world_ops import (
find_point,
find_row,
find_series,
find_stating_constraint,
is_geometry,
is_plot,
is_table,
looks_numeric,
)
@dataclass(frozen=True)
class Mutation:
"""One seeded, valid alternative world for the §7.3 suite."""
world: World
leaf: str
kind: str # "SUBSTITUTE" | "REDACT"
description: str
def deterministic_mutations(
world: World,
leaves: tuple[str, ...],
*,
dsl: Dsl,
seed: int,
per_leaf: int = 8,
) -> list[Mutation]:
"""Generate ``≥per_leaf`` valid mutations per dependency leaf (seed-determined).
Leaves with no mutable value fall back to substituting the nearest mutable
value in the world, so every leaf still yields ``per_leaf`` distinct valid
alternatives. The output order is deterministic: leaves in input order, then
``SUBSTITUTE`` (offset 0..per_leaf-1) then ``REDACT``.
"""
out: list[Mutation] = []
for leaf in leaves:
for i in range(per_leaf):
mut = _substitute(world, leaf, dsl, seed, i)
if mut is not None:
out.append(mut)
redact = _redact(world, leaf, dsl, seed)
if redact is not None:
out.append(redact)
# A leaf set may be empty (e.g., a pure-literal program); still emit ≥8
# global substitutes so the suite is non-vacuous.
if not leaves:
for i in range(max(per_leaf, 8)):
mut = _substitute_global(world, dsl, seed, i)
if mut is not None:
out.append(mut)
return out
# --- seeded offsets ---------------------------------------------------------
def _offset(seed: int, leaf: str, kind: str, i: int) -> int:
"""A deterministic 1..99 offset (distinct per ``(leaf, kind, i)``)."""
digest = hashlib.sha256(f"{seed}|{leaf}|{kind}|{i}".encode()).hexdigest()
return 1 + (int(digest[:12], 16) % 99)
def _bump(value: Any, by: int) -> str:
"""Add ``by`` to a numeric world value, returning its canonical string."""
frac = parse_number(value) + Fraction(by)
return canonical_number_str(frac)
# --- SUBSTITUTE ------------------------------------------------------------
def _substitute(world: World, leaf: str, dsl: Dsl, seed: int, i: int) -> Mutation | None:
by = _offset(seed, leaf, "SUBSTITUTE", i)
new_world = copy.deepcopy(world)
desc = _apply_substitute(new_world, leaf, by)
if desc is None:
# Fall back to a global mutable value so this leaf still yields a valid
# alternative mutation.
desc = _apply_substitute_global(new_world, by)
if desc is None:
return None
return Mutation(new_world, leaf, "SUBSTITUTE", f"{desc} (+{by})")
def _apply_substitute(world: World, leaf: str, by: int) -> str | None:
"""Substitute the leaf's own value; return a description or ``None``."""
if _is_plot(world):
return _substitute_plot(world, leaf, by)
if _is_table(world):
return _substitute_table(world, leaf, by)
if _is_geometry(world):
return _substitute_geometry(world, leaf, by)
return None
def _substitute_plot(world: World, leaf: str, by: int) -> str | None:
point = _find_point(world, leaf)
if point is not None:
sidx, pidx, p = point
p["y"] = _bump(p.get("y", "0"), by)
world["series"][sidx]["points"][pidx] = p
return f"point {leaf} y"
series = _find_series(world, leaf)
if series is not None:
sidx, s = series
pts = s.get("points", []) or []
if pts:
pts[0]["y"] = _bump(pts[0].get("y", "0"), by)
world["series"][sidx]["points"] = pts
return f"series {leaf} first-point y"
return None
def _substitute_table(world: World, leaf: str, by: int) -> str | None:
row = _find_row(world, leaf)
if row is None:
return None
ridx, r = row
cells = r.get("cells", {}) or {}
if not cells:
return None
key = next(iter(cells))
cells[key] = _bump(cells[key], by)
world["rows"][ridx]["cells"] = cells
return f"row {leaf} cell {key}"
def _substitute_geometry(world: World, leaf: str, by: int) -> str | None:
found = _find_stating_constraint(world, leaf)
if found is None:
return None
cidx, c = found
args = list(c.get("args") or [])
pred = c.get("predicate")
if pred == "MeasureOf" and len(args) >= 2 and args[0] == leaf:
args[1] = _bump(args[1], by)
elif pred == "Equals" and len(args) == 2:
if args[0] == leaf and _looks_numeric(args[1]):
args[1] = _bump(args[1], by)
elif args[1] == leaf and _looks_numeric(args[0]):
args[0] = _bump(args[0], by)
else:
return None
else:
return None
c["args"] = args
world["constraints"][cidx] = c
return f"constraint {pred}({leaf}) value"
# --- REDACT -----------------------------------------------------------------
def _redact(world: World, leaf: str, dsl: Dsl, seed: int) -> Mutation | None:
new_world = copy.deepcopy(world)
desc = _apply_redact(new_world, leaf)
if desc is None:
return None
return Mutation(new_world, leaf, "REDACT", desc)
def _apply_redact(world: World, leaf: str) -> str | None:
if _is_plot(world):
point = _find_point(world, leaf)
if point is not None:
sidx, _pidx, p = point
pts = world["series"][sidx].get("points", [])
world["series"][sidx]["points"] = [q for q in pts if q.get("id") != leaf]
return f"remove point {leaf}"
series = _find_series(world, leaf)
if series is not None:
world["series"] = [s for s in world.get("series", []) if s.get("id") != leaf]
return f"remove series {leaf}"
return None
if _is_table(world):
if _find_row(world, leaf) is not None:
world["rows"] = [r for r in world.get("rows", []) if r.get("id") != leaf]
return f"remove row {leaf}"
return None
if _is_geometry(world):
found = _find_stating_constraint(world, leaf)
if found is not None:
cidx, _c = found
world["constraints"] = [
x for k, x in enumerate(world.get("constraints", [])) if k != cidx
]
return f"remove stating constraint for {leaf}"
if any(e.get("id") == leaf for e in world.get("entities", [])):
world["entities"] = [e for e in world.get("entities", []) if e.get("id") != leaf]
return f"remove entity {leaf}"
return None
return None
# --- global fallback --------------------------------------------------------
def _substitute_global(world: World, dsl: Dsl, seed: int, i: int) -> Mutation | None:
by = _offset(seed, "__global__", "SUBSTITUTE", i)
new_world = copy.deepcopy(world)
desc = _apply_substitute_global(new_world, by)
if desc is None:
return None
return Mutation(new_world, "__global__", "SUBSTITUTE", f"{desc} (+{by})")
def _apply_substitute_global(world: World, by: int) -> str | None:
if _is_plot(world):
for s in world.get("series", []):
pts = s.get("points", []) or []
if pts:
pts[0]["y"] = _bump(pts[0].get("y", "0"), by)
s["points"] = pts
return f"series {s.get('id')} first-point y"
return None
if _is_table(world):
for r in world.get("rows", []):
cells = r.get("cells", {}) or {}
if cells:
key = next(iter(cells))
cells[key] = _bump(cells[key], by)
r["cells"] = cells
return f"row {r.get('id')} cell {key}"
return None
if _is_geometry(world):
for c in world.get("constraints", []):
if c.get("predicate") == "MeasureOf" and len(c.get("args") or []) >= 2:
args = list(c["args"])
if _looks_numeric(args[1]):
args[1] = _bump(args[1], by)
c["args"] = args
return f"constraint MeasureOf({args[0]}) value"
return None
return None
# --- world locators (shared with the P5 intervention layer) ----------------
# The locators live in :mod:`explicit_learning.sources.world_ops`; the leading
# underscore aliases keep this module's call sites unchanged.
_is_plot = is_plot
_is_table = is_table
_is_geometry = is_geometry
_find_point = find_point
_find_series = find_series
_find_row = find_row
_find_stating_constraint = find_stating_constraint
_looks_numeric = looks_numeric
__all__ = ["Mutation", "deterministic_mutations"]