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Download src/explicit_learning/executors/geometry.py from sungguk/visual-answerability: direct link, hf CLI and curl.
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| """``geometry_dsl_v1`` executor — direct-lookup solver over the supported subset (P3). | |
| Evaluates ``SOLVE(goal, AND(constraints))`` programs built by | |
| :mod:`~explicit_learning.dsl.geometrydsl` against a ``geometry_world_v1``. The P3 | |
| supported predicate subset is the *direct-lookup* case: the goal target's value | |
| is stated outright by a ``MeasureOf(target, v)`` or ``Equals(target, v)`` | |
| constraint. A full theorem-proving solver (the 6-check Inter-GPS/FormalGeo | |
| acceptance of ``docs/02`` §6.3) is the **reference executor** (P13); this | |
| executor covers the subset where the answer is explicitly given and reports | |
| ``MISSING_INFORMATION`` (never a guess) when it cannot derive the goal. | |
| Channel provenance (``text``/``visual``/``redundant``) lives on the program | |
| envelope; the executor reads the formal constraint graph from the **world** | |
| (``world["constraints"]`` dicts, not the program's ``AND`` mirror) so that | |
| re-executing the fixed program against a *mutated* world (§14 replay) reflects | |
| the mutation. ``U_INVALID`` arises when the scalar ``SELECT_ENTITY`` referent | |
| (the goal target) is deleted from the world. | |
| """ | |
| from __future__ import annotations | |
| from collections.abc import Mapping | |
| from fractions import Fraction | |
| from typing import Any | |
| from ..dsl.ast import Arg, AstNode, Program | |
| from ..sources.base import World | |
| from .base import ( | |
| AnswerValue, | |
| ExecutionResult, | |
| ExecutorError, | |
| _InvalidReferent, | |
| _MissingInformation, | |
| _Trace, | |
| serialize_answer, | |
| ) | |
| NAME = "geometry_executor" | |
| VERSION = "geometry_dsl_v1/1" | |
| class GeometryExecutor: | |
| """Deterministic direct-lookup executor for ``geometry_dsl_v1``.""" | |
| name = NAME | |
| version = VERSION | |
| def execute(self, program: Program, *, world: World) -> ExecutionResult: | |
| trace = _Trace() | |
| try: | |
| referent_card = self._check_referent(program, world, trace) | |
| answer = self._solve(program.program, world, trace) | |
| _steps, deps, tsha = trace.finish() | |
| return ExecutionResult( | |
| status="UNIQUE", | |
| answer_value=answer, | |
| answer_canonical=serialize_answer(answer, return_type=program.program.return_type), | |
| dependency_node_ids=deps, | |
| referent_cardinality=referent_card, | |
| trace_sha256=tsha, | |
| executor_name=self.name, | |
| executor_version=self.version, | |
| ) | |
| except _InvalidReferent: | |
| _steps, deps, tsha = trace.finish() | |
| return ExecutionResult( | |
| status="INVALID_REFERENT", | |
| answer_value=None, | |
| answer_canonical=None, | |
| dependency_node_ids=deps, | |
| referent_cardinality=self._safe_referent_card(program, world), | |
| trace_sha256=tsha, | |
| executor_name=self.name, | |
| executor_version=self.version, | |
| ) | |
| except _MissingInformation: | |
| _steps, deps, tsha = trace.finish() | |
| return ExecutionResult( | |
| status="MISSING_INFORMATION", | |
| answer_value=None, | |
| answer_canonical=None, | |
| dependency_node_ids=deps, | |
| referent_cardinality=self._safe_referent_card(program, world), | |
| trace_sha256=tsha, | |
| executor_name=self.name, | |
| executor_version=self.version, | |
| ) | |
| except ExecutorError: | |
| _steps, deps, tsha = trace.finish() | |
| return ExecutionResult( | |
| status="ERROR", | |
| answer_value=None, | |
| answer_canonical=None, | |
| dependency_node_ids=deps, | |
| referent_cardinality=self._safe_referent_card(program, world), | |
| trace_sha256=tsha, | |
| executor_name=self.name, | |
| executor_version=self.version, | |
| ) | |
| def execute_selector(self, selector: AstNode, *, world: World) -> tuple[str, ...]: | |
| if selector.op == "SELECT_ENTITY": | |
| eid = _ref_id(selector.args[0]) | |
| return (eid,) if _entity(world, eid) is not None else () | |
| if selector.op == "SELECT_SERIES": # parity; geometry worlds carry no series | |
| return () | |
| return () | |
| # --- referent precondition -------------------------------------------- | |
| def _check_referent(self, program: Program, world: World, trace: _Trace) -> int | None: | |
| selector = program.referent_selector | |
| required = program.required_referent_cardinality | |
| if selector is None or required is None: | |
| return None if selector is None else len(self.execute_selector(selector, world=world)) | |
| refs = self.execute_selector(selector, world=world) | |
| trace.record("REFERENT", refs, len(refs)) | |
| if len(refs) != required: | |
| raise _InvalidReferent( | |
| f"scalar referent cardinality {len(refs)} != required {required}" | |
| ) | |
| return len(refs) | |
| def _safe_referent_card(self, program: Program, world: World) -> int | None: | |
| if program.referent_selector is None: | |
| return None | |
| try: | |
| return len(self.execute_selector(program.referent_selector, world=world)) | |
| except ExecutorError: | |
| return None | |
| # --- solving ------------------------------------------------------------ | |
| def _solve(self, node: AstNode, world: World, trace: _Trace) -> AnswerValue: | |
| if node.op != "SOLVE": | |
| raise ExecutorError(f"expected SOLVE root, got {node.op!r}") | |
| goal = node.args[0] | |
| constraints = self._world_constraints(world) | |
| return self._solve_goal(goal, constraints, world, trace) | |
| def _world_constraints(self, world: World) -> tuple[Mapping[str, Any], ...]: | |
| """The formal constraint facts (``world["constraints"]`` dicts). | |
| Read from the world — not the program's ``AND`` mirror — so a mutated | |
| world (a deleted stating-constraint, §14 replay) changes the result. | |
| """ | |
| out: list[Mapping[str, Any]] = [] | |
| for c in world.get("constraints", []) or []: | |
| if isinstance(c, Mapping) and c.get("predicate"): | |
| out.append(c) | |
| return tuple(out) | |
| def _solve_goal( | |
| self, goal: Arg, constraints: tuple[Mapping[str, Any], ...], world: World, trace: _Trace | |
| ) -> AnswerValue: | |
| if not isinstance(goal, AstNode): | |
| raise ExecutorError(f"expected a goal AST node, got {type(goal).__name__}") | |
| if goal.op == "MEASURE": | |
| target = _ref_id(goal.args[0]) | |
| return self._measure(target, constraints, trace) | |
| if goal.op == "FIND": | |
| target = _ref_id(goal.args[0]) | |
| return self._find(target, constraints, trace) | |
| if goal.op == "PROVE": | |
| return self._prove(goal, constraints, trace) | |
| raise ExecutorError(f"unsupported goal op {goal.op!r}") | |
| def _measure( | |
| self, target: str, constraints: tuple[Mapping[str, Any], ...], trace: _Trace | |
| ) -> Fraction: | |
| for c in constraints: | |
| if c.get("predicate") == "MeasureOf" and _arg0(c) == target: | |
| value = _as_number(_arg1(c)) | |
| trace.record("MEASURE", (target,), value) | |
| return value | |
| raise _MissingInformation(f"no MeasureOf constraint states {target!r}") | |
| def _find( | |
| self, target: str, constraints: tuple[Mapping[str, Any], ...], trace: _Trace | |
| ) -> Fraction: | |
| for c in constraints: | |
| if c.get("predicate") == "MeasureOf" and _arg0(c) == target: | |
| value = _as_number(_arg1(c)) | |
| trace.record("FIND", (target,), value) | |
| return value | |
| if c.get("predicate") == "Equals" and _equals_target_value(c, target) is not None: | |
| value = _as_number(_equals_target_value(c, target)) | |
| trace.record("FIND", (target,), value) | |
| return value | |
| raise _MissingInformation(f"no constraint states the value of {target!r}") | |
| def _prove( | |
| self, goal: AstNode, constraints: tuple[Mapping[str, Any], ...], trace: _Trace | |
| ) -> bool: | |
| # PROVE asserts a predicate; true iff an identical constraint is given. | |
| target_pred = goal.args[0] | |
| if not isinstance(target_pred, AstNode): | |
| raise ExecutorError("PROVE expects a predicate argument") | |
| for c in constraints: | |
| if _constraint_matches(c, target_pred): | |
| trace.record("PROVE", (), True) | |
| return True | |
| raise _MissingInformation("PROVE: asserted predicate not found among givens") | |
| # --- helpers --------------------------------------------------------------- | |
| def _entity(world: World, eid: str) -> Mapping[str, Any] | None: | |
| for entity in world.get("entities", []) or []: | |
| if isinstance(entity, Mapping) and entity.get("id") == eid: | |
| return entity | |
| return None | |
| def _ref_id(arg: Any) -> str: | |
| if isinstance(arg, AstNode): | |
| return arg.ref_id() | |
| return str(arg) | |
| def _arg0(c: Mapping[str, Any]) -> str: | |
| args = c.get("args") or [] | |
| return str(args[0]) if args else "" | |
| def _arg1(c: Mapping[str, Any]) -> str: | |
| args = c.get("args") or [] | |
| return str(args[1]) if len(args) > 1 else "" | |
| def _equals_target_value(c: Mapping[str, Any], target: str) -> str | None: | |
| """If ``Equals(target, v)`` or ``Equals(v, target)``, return the other side's value.""" | |
| args = c.get("args") or [] | |
| if len(args) != 2: | |
| return None | |
| a, b = str(args[0]), str(args[1]) | |
| if a == target and _looks_numeric(b): | |
| return b | |
| if b == target and _looks_numeric(a): | |
| return a | |
| return None | |
| def _looks_numeric(text: str) -> bool: | |
| try: | |
| Fraction(text) | |
| except (ValueError, ZeroDivisionError): | |
| return False | |
| return True | |
| def _as_number(value: Any) -> Fraction: | |
| if isinstance(value, bool): # noqa: FBT001 | |
| raise ExecutorError("boolean where a number was expected") | |
| if isinstance(value, Fraction): | |
| return value | |
| if isinstance(value, int): | |
| return Fraction(value) | |
| try: | |
| return Fraction(str(value)) | |
| except (ValueError, ZeroDivisionError) as exc: # unparseable → ERROR, never a crash/U | |
| raise ExecutorError(f"unparseable numeric value {value!r}") from exc | |
| def _constraint_matches(c: Mapping[str, Any], pred_node: AstNode) -> bool: | |
| if pred_node.op not in ("MeasureOf", "Equals", "IsMidpointOf", "Parallel", "Perpendicular"): | |
| return False | |
| if c.get("predicate") != pred_node.op: | |
| return False | |
| cargs = [str(a) for a in (c.get("args") or [])] | |
| pargs = [str(a.ref_id()) if isinstance(a, AstNode) else str(a) for a in pred_node.args] | |
| return cargs == pargs | |
| __all__ = ["GeometryExecutor"] | |