core/tests/test_quantitative_comprehension.py
Shay 0951d80e04 feat(comprehension): the divisive comparative frame — "half as many" as exact integer division (PR-6c)
PR-6c adds the divisive comparative frame: "half as many" read as EXACT INTEGER
DIVISION. It is the divisor twin of PR-5c's multiplicative frame, and moves the
independent R1 gold's r1-02-half from refused → correct.

No serving path touched. No rational/fractional answer support added. Non-exact
division refuses.

Design (ADR-0134 amended — divide made symmetric with multiply):
- `_check_divide` now admits a SINGLE-DEP divide-by-dimensionless-literal
  (item / dimensionless = item), the exact twin of single-dep multiply. The
  2-dep rate-divide path is untouched. This keeps the IR's "literal operands
  are not deps" invariant (proven in PR-6a) uniform across Mul AND Div, so the
  reader builds both without a per-op special case and WITHOUT synthesizing a
  divisor symbol that would pollute the setup-oracle's unit signature.
- `Div(Symbol, Literal)` IR node: "ref / divisor", operation_kind "divide",
  projects to `divide_by`. Divisor-only contract mirrors the scalar-only one.
- Reader: `_DIVISOR_WORDS={half:2}` slots into the same 8-token "<WORD> as many"
  template as the factor words; graph carries only the two entities.
- Gold reconciliation: r1-02 placeholder `times_as_many factor 0.5` → exact
  `divide_by divisor 2` (gold 4). Makes the INDEPENDENT gold integer-faithful.

The wrong=0 boundary — exact divisibility:
  the oracle admits `divide_by` only when `base % divisor == 0`. An odd base
  halved REFUSES (gold_error), never floors to a wrong integer. Divisor must be
  a nonzero int (0, 0.5, 1.5, bool all refuse); divisor=1 is intentionally the
  identity (pinned). admissibility proves DIMENSION; the oracle proves EXACT VALUE.

Meaningful-fail (CLAUDE.md Schema-Defined Proof Obligations), both verified red:
- drop the `% divisor` guard → test_oracle_refuses_non_exact_division fails (returns 3).
- disable the single-dep divide branch → the admissibility test AND the reader's
  `half` test fail (admissibility refuses → reader refuses → half stays refused).

Gates:
  R1 setup:   3 correct / 0 wrong / 7 refused
  R1 answers: 3 correct / 0 wrong / 7 refused / setup_wrong 0 / gold_error 0
  15-case setup: 15 / 0 / 0
  91 PR-6c tests + 60 relational lanes + 56 architectural invariants + 502
  binding-graph/proof-chain/adapter tests green. All 8 SHA-content lanes match
  (serving unmoved; admissibility has no generate.derivation/reliability_gate consumer).
2026-06-06 20:18:39 -07:00

220 lines
9.8 KiB
Python

"""Unit tests for the arithmetic reader (prose -> binding_graph) + its projector.
Pins the templates, the count-vs-physical-unit modelling, and — load-bearing — the
REAL admissibility check: an equation is admitted only if its operand units verify,
so a mixed-unit sum REFUSES rather than fabricating a quantity. This is the
reviewer's "do not stamp admissibility" guard, made executable.
"""
from __future__ import annotations
from generate.binding_graph.model import (
BoundFact,
BoundUnknown,
SemanticSymbolicBindingGraph,
SourceSpanLink,
SymbolBinding,
)
from generate.meaning_graph.reader import Refusal
from generate.quantitative_comprehension import (
QuantComprehension,
comprehend_quantitative,
single_unknown,
to_relational_metric,
)
def _comp(text: str) -> QuantComprehension:
comp = comprehend_quantitative(text)
assert isinstance(comp, QuantComprehension), comp
return comp
def test_fact_and_more_than_build_binding_graph() -> None:
comp = _comp("Liam has 6 stickers. Mia has 4 more stickers than Liam. How many stickers does Mia have?")
g = comp.binding_graph
assert isinstance(g, SemanticSymbolicBindingGraph)
assert {f.symbol_id: f.value for f in g.facts} == {"liam": "6"}
eq = next(e for e in g.equations if e.lhs_symbol_id == "mia")
assert eq.operation_kind == "add"
assert eq.rhs_canonical == "liam + 4"
assert eq.admissibility_status == "admitted" # from the REAL check, not stamped
assert single_unknown(g).symbol_id == "mia"
def test_question_target_is_a_bound_unknown_in_the_graph() -> None:
# The question target lives INSIDE the graph (a BoundUnknown at the terminal
# state) — read via single_unknown, never a sidecar field (PR-3 removed QuantQuery).
comp = _comp("Liam has 6 stickers. Mia has 4 more stickers than Liam. How many stickers does Mia have?")
u = single_unknown(comp.binding_graph)
assert u is not None
assert u.symbol_id == "mia"
assert u.state_index == "terminal"
assert u.question_form == "count"
assert u.expected_unit == "item"
# The graph's canonical serialization carries the target.
assert "state=terminal" in comp.binding_graph.to_canonical_string()
def test_sum_query_target_is_total_form_unknown() -> None:
comp = _comp("Dan has 7 coins. Eva has 9 more coins than Dan. How many coins do Dan and Eva have?")
(u,) = comp.binding_graph.unknowns
assert u.symbol_id == "total" and u.question_form == "total" and u.state_index == "terminal"
def test_count_nouns_resolve_to_item_dimension() -> None:
# Unknown sortal nouns become the count dimension (item); admissibility admits.
comp = _comp("Kim has 2 marbles. Leo has 3 more marbles than Kim. How many marbles does Leo have?")
units = {s.symbol_id: s.unit for s in comp.binding_graph.symbols}
assert units["kim"] == "item" and units["leo"] == "item"
def test_known_unit_is_used_verbatim() -> None:
comp = _comp("Iris has 100 dollars. Jack has 250 more dollars than Iris. How many dollars does Jack have?")
units = {s.symbol_id: s.unit for s in comp.binding_graph.symbols}
assert units["iris"] == "dollars" # parse_unit depluralizes dollars -> dollar (money)
def test_fewer_than_is_subtract() -> None:
comp = _comp("Noah has 15 cards. Olivia has 6 fewer cards than Noah. How many cards does Olivia have?")
eq = next(e for e in comp.binding_graph.equations if e.lhs_symbol_id == "olivia")
assert eq.operation_kind == "subtract" and eq.rhs_canonical == "noah - 6"
def test_sum_query_target_via_single_unknown() -> None:
comp = _comp("Dan has 7 coins. Eva has 9 more coins than Dan. How many coins do Dan and Eva have?")
assert single_unknown(comp.binding_graph).symbol_id == "total"
def test_sum_query_synthesizes_total() -> None:
comp = _comp("Dan has 7 coins. Eva has 9 more coins than Dan. How many coins do Dan and Eva have?")
assert single_unknown(comp.binding_graph).symbol_id == "total"
total_eq = next(e for e in comp.binding_graph.equations if e.lhs_symbol_id == "total")
assert total_eq.operation_kind == "add"
assert set(total_eq.dependencies) == {"dan", "eva"}
def test_projection_shape() -> None:
comp = _comp("Liam has 6 stickers. Mia has 4 more stickers than Liam. How many stickers does Mia have?")
projected = to_relational_metric(comp)
assert projected is not None
relations, query = projected
assert {"kind": "fact", "entity": "liam", "value": 6} in relations
assert {"kind": "more_than", "entity": "mia", "ref": "liam", "delta": 4} in relations
assert query["entity"] == "mia"
# --------------------------------------------------------------------------- #
# Admissibility is REAL, not stamped (the reviewer's load-bearing guard)
# --------------------------------------------------------------------------- #
def test_mixed_unit_sum_refuses_via_admissibility() -> None:
# count (stickers -> item) + money (dollars) cannot be summed: the REAL
# admissibility check must REFUSE, not fabricate a total.
comp = comprehend_quantitative(
"Liam has 6 stickers. Mia has 4 dollars. How many things do Liam and Mia have?"
)
assert isinstance(comp, Refusal)
assert comp.reason == "admissibility_refused"
assert "unit_mismatch" in comp.detail
def test_non_digit_quantity_refuses() -> None:
comp = comprehend_quantitative("Liam has several stickers. How many stickers does Liam have?")
assert isinstance(comp, Refusal)
assert comp.reason == "non_digit_quantity"
def test_unreadable_clause_refuses() -> None:
comp = comprehend_quantitative("The weather is nice today.")
assert isinstance(comp, Refusal)
# --------------------------------------------------------------------------- #
# PR-3 — malformed graphs REFUSE (never pick one of several targets)
# --------------------------------------------------------------------------- #
def _sp() -> SourceSpanLink:
return SourceSpanLink(source_id="t", start=0, end=1, text="x")
def _graph_with_n_unknowns(n: int) -> SemanticSymbolicBindingGraph:
symbols = tuple(
SymbolBinding(symbol_id=s, name=s, semantic_role="count",
source_span=_sp(), introduced_by="t", entity=s, unit="item")
for s in ("a", "b")
)
unknowns = tuple(
BoundUnknown(symbol_id=s, question_span=_sp(), state_index="terminal",
question_form="count", expected_unit="item")
for s in ("a", "b")[:n]
)
return SemanticSymbolicBindingGraph(
symbols=symbols,
facts=(BoundFact(symbol_id="a", value="1", source_span=_sp(), unit="item"),),
equations=(),
unknowns=unknowns,
)
def test_single_unknown_refuses_zero_and_multiple() -> None:
assert single_unknown(_graph_with_n_unknowns(0)) is None # no question target
assert single_unknown(_graph_with_n_unknowns(2)) is None # ambiguous → refuse, not pick
assert single_unknown(_graph_with_n_unknowns(1)) is not None
def test_to_relational_metric_refuses_malformed_target() -> None:
for n in (0, 2):
comp = QuantComprehension(binding_graph=_graph_with_n_unknowns(n))
assert to_relational_metric(comp) is None # refuse rather than emit a guessed query
# --------------------------------------------------------------------------- #
# PR-5c — the multiplicative comparative frame ("twice / N times as many")
# --------------------------------------------------------------------------- #
def test_twice_as_many_builds_multiply_equation() -> None:
comp = _comp("Anna has 6 apples. Bella has twice as many apples as Anna. How many apples does Bella have?")
eq = next(e for e in comp.binding_graph.equations if e.lhs_symbol_id == "bella")
assert eq.operation_kind == "multiply"
assert eq.rhs_canonical == "anna * 2"
assert eq.admissibility_status == "admitted" # count * scalar = count, REAL check
assert single_unknown(comp.binding_graph).symbol_id == "bella"
def test_n_times_as_many_builds_multiply_equation() -> None:
comp = _comp("Ivy has 4 pens. Jon has 3 times as many pens as Ivy. How many pens does Jon have?")
eq = next(e for e in comp.binding_graph.equations if e.lhs_symbol_id == "jon")
assert eq.operation_kind == "multiply" and eq.rhs_canonical == "ivy * 3"
def test_multiplicative_missing_base_refuses() -> None:
# "twice as many as Rosa" with no value for Rosa -> Rosa is ungrounded -> REFUSE,
# never fabricate a base quantity.
comp = comprehend_quantitative("Quinn has twice as many toys as Rosa. How many toys does Quinn have?")
assert isinstance(comp, Refusal)
def test_half_as_many_builds_divide_equation() -> None:
# PR-6c: "half as many" is the divisive twin of "twice as many" — operation_kind
# "divide", a single symbol dep (the divisor literal is in the IR, not a graph symbol),
# and the REAL single-dep admissibility check (item / dimensionless = item) admits it.
comp = _comp("Carl has 8 coins. Dora has half as many coins as Carl. How many coins does Dora have?")
eq = next(e for e in comp.binding_graph.equations if e.lhs_symbol_id == "dora")
assert eq.operation_kind == "divide"
assert eq.rhs_canonical == "carl / 2"
assert eq.dependencies == frozenset({"carl"}) # uniform with Mul: literal not a dep
assert eq.admissibility_status == "admitted"
assert single_unknown(comp.binding_graph).symbol_id == "dora"
# The graph carries ONLY the two entities — no synthesized __divisor symbol pollutes
# it (that is why the symmetric single-dep divide was chosen over divisor synthesis).
assert {s.symbol_id for s in comp.binding_graph.symbols} == {"carl", "dora"}
def test_half_as_many_missing_base_refuses() -> None:
# "half as many ... as Rod" with no value for Rod -> ungrounded base -> REFUSE.
comp = comprehend_quantitative("Sue has half as many pears as Rod. How many pears does Sue have?")
assert isinstance(comp, Refusal)