| """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 |
| 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) |
| |
| |
| 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 |
|
|
|
|
| |
|
|
|
|
| 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) |
|
|
|
|
| |
|
|
|
|
| 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: |
| |
| |
| 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" |
|
|
|
|
| |
|
|
|
|
| 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 |
|
|
|
|
| |
|
|
|
|
| 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 |
|
|
|
|
| |
| |
| |
|
|
| _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"] |
|
|