arborist/tests/test_canonical_projection.py
russell@unturf.com 04f3f5d2a8
ticket #000030 Phases 1+2: algebra-symbolic@v1 + calculus-derivative@v1
Two new π* canonicalizers extend the math substrate above
arithmetic@v1 (closed-form rationals) and logic-kernel@v1
(propositional Boolean → CNF):

algebra-symbolic@v1 (Phase 1) — symbolic-algebra domain.
sp.expand → sp.srepr canonical bytes. Polynomial identity collapses
((x+1)**2 ≡ x**2 + 2*x + 1); exponential identity collapses
(exp(a+b) ≡ exp(a)*exp(b), inherited from sp.expand's default
behavior); trigonometric identity does NOT collapse
(sin²+cos² ≢ 1). The trig surface is reserved for a future
algebra-symbolic-simplified@v1 variant that wraps sp.simplify at
unbounded CPU cost. Rejects relationals (`x > 0`) and
BooleanFunction shapes (`x & y`) via `isinstance(expr, sp.Expr)` —
sp.Symbol confusingly inherits from Boolean so the right rejection
filter is "not Expr" rather than "Boolean".

calculus-derivative@v1 (Phase 2) — calculus domain. JSON-shaped
{f, x, n} input → sp.diff → sp.expand → srepr bytes. Output is
itself a valid algebra-symbolic@v1 input so the two compose
naturally under arborist.pi_star.compose. n defaults to 1; bools
explicitly rejected (Python isinstance(True, int) is True so we
filter that explicitly).

Optional dependency: sympy ships in the new [math] extra
(pyproject.toml). Folded into [dev] so make bootstrap pulls it
transitively. An explicit `bootstrap-math` Makefile target documents
the opt-in for minimal-install users. Both modules self-guard
via `try: import sympy as sp / except ImportError: sp = None` and
only register(...) when sympy is present, so a fresh checkout
without [math] still loads arborist.pi_star without raising.

Preflight algebra route lands in
arborist.qa.query._canonical_projection_preflight between the
arithmetic and logic routes. Charset regex (_CANONICAL_ALGEBRA_RE)
allows lowercase letters + math chars; requires at least one
letter (else arithmetic wins); rejects natural-language leading
verbs via _CANONICAL_ALGEBRA_NL_LEAD_RE (4-letter minimum so
single-/two-/three-char identifiers like x, xy, sin, cos, pi
survive while "simplify (...)", "factor x...", "expand (a+b)..."
fall through). PiStarError + KeyError both fall through cleanly
so a sympy-less install just routes everything past algebra.

Bench substrate:
- bench/batteries/base.py PHASE_1_CARRIERS gains "symbolic_algebra"
- bench/fixtures/5s/syntax-algebra-symbolic-v1.jsonl (10 fixtures)
- bench/fixtures/5s/semantics-algebra-symbolic-v1.jsonl (13 fixtures
  including the documented trig non-collapse + exp collapse)
- Makefile bench-5s-algebra target → 100% pass

Tests: 18 algebra-symbolic + 38 calculus-derivative unit tests +
~10 new preflight-route tests in test_canonical_projection.py. All
gate on pytest.importorskip("sympy") so a sympy-less suite stays
green. Full suite: 1369 passed / 27 skipped.

Phases 3-7 (integral, limit, series, linear-algebra,
function-sampled) remain open as future work; each lands as its
own ticket when an actual consumer surfaces.
2026-05-09 12:35:18 -04:00

329 lines
11 KiB
Python

"""Tests for the canonical-projection preflight + ``arborist canon`` CLI.
Two surfaces, one substrate. The π* registry already has unit-level
coverage in ``tests/test_pi_star.py``; these tests exercise the ways
those π*'s become reachable from the user — without RAG, without an
LLM, and without a shard.
- ``_canonical_projection_preflight`` — the sniff + π* dispatch
helper inside ``arborist.qa.query``.
- ``query()`` short-circuit path — math/logic-shaped questions return
``status="canonical_projection"`` before retrieval starts.
- ``arborist canon ...`` CLI subcommand — direct π* call.
"""
from __future__ import annotations
import json
import subprocess
import sys
from pathlib import Path
import pytest
from arborist.qa.client import StubClient
from arborist.qa.query import _canonical_projection_preflight, query
# ----- preflight helper ---------------------------------------------------
@pytest.mark.parametrize(
"question,expected_ref,expected_canonical",
[
("0.1 + 0.2", "arithmetic@v1", b"3/10"),
("0.3", "arithmetic@v1", b"3/10"),
("1/3 + 1/6", "arithmetic@v1", b"1/2"),
("6/4", "arithmetic@v1", b"3/2"),
("(2+3)*4", "arithmetic@v1", b"20/1"),
("A IMPL B", "logic-kernel@v1", b"(NOT A OR B)"),
("(NOT B) IMPL (NOT A)", "logic-kernel@v1", b"(NOT A OR B)"),
("A OR NOT A", "logic-kernel@v1", b"TRUE"),
("NOT NOT A", "logic-kernel@v1", b"A"),
],
)
def test_preflight_matches_math_or_logic(question, expected_ref, expected_canonical):
result = _canonical_projection_preflight(question)
assert result is not None, f"expected match, got None for {question!r}"
ref, canonical = result
assert ref == expected_ref
assert canonical == expected_canonical
# ----- Algebra route (ticket #000030) ------------------------------------
@pytest.mark.parametrize(
"question",
[
"(x+1)**2",
"x**2 + 3*x + 7",
"a*b - c",
"x",
"sin(x)",
],
)
def test_preflight_algebra_route_matches(question):
"""Symbolic-algebra inputs route through algebra-symbolic@v1
(when sympy is available)."""
pytest.importorskip("sympy")
result = _canonical_projection_preflight(question)
assert result is not None, f"expected match, got None for {question!r}"
ref, canonical = result
assert ref == "algebra-symbolic@v1"
# srepr-form bytes — start with a SymPy class name.
assert canonical[:1].isalpha()
def test_preflight_algebra_collapses_polynomial_identity():
pytest.importorskip("sympy")
a = _canonical_projection_preflight("(x+1)**2")
b = _canonical_projection_preflight("x**2 + 2*x + 1")
assert a is not None and b is not None
assert a[1] == b[1]
@pytest.mark.parametrize(
"question",
[
# leading natural-language verb followed by an operand
"simplify (x+1)**2",
"factor x**2 - 1",
"expand (a+b)**2",
"evaluate sin(x)",
# contains '?' — fails algebra charset
"what is x+1?",
# arithmetic still owns the no-letters route
"0.1 + 0.2",
],
)
def test_preflight_algebra_falls_through_for_natural_language(question):
"""Natural-language phrasing falls through the algebra route. Pure
arithmetic with no letters routes to arithmetic@v1, not algebra."""
pytest.importorskip("sympy")
r = _canonical_projection_preflight(question)
if r is not None:
# Acceptable: arithmetic route catches '0.1 + 0.2' first.
assert r[0] == "arithmetic@v1"
@pytest.mark.parametrize(
"question",
[
# natural language → no match
"what is 0.1 + 0.2?",
"tell me about the capital of france",
"is A IMPL B the same as B IMPL A",
# mixed case (lowercase letters) → no logic match
"a IMPL b",
# bare uppercase atom without operator → no logic match
"A",
"B",
# empty / whitespace
"",
" ",
],
)
def test_preflight_falls_through_for_natural_language(question):
assert _canonical_projection_preflight(question) is None
def test_preflight_returns_none_on_pi_star_error():
"""Shape-matched but π*-rejected input falls through gracefully.
``arithmetic@v1`` rejects identifiers; a string that LOOKS
arithmetic but contains nothing parseable should not crash query().
"""
# Empty parens — passes the regex shape but arithmetic@v1 rejects.
assert _canonical_projection_preflight("()") is None
# ----- query() short-circuit ----------------------------------------------
def test_query_math_short_circuits_with_no_shards(tmp_path: Path):
"""Math-shaped question persists a canonical row + answers without
needing a shard or hitting the LLM. Status is cache_miss_then_written
(first call writes the row); audit_mode/verifier_method are the
canonical-projection tokens; cache_key is real."""
qa_db = tmp_path / "qa.db"
no_shards = tmp_path / "shards" # absent on purpose
result = query(
question="0.1 + 0.2",
qa_db=qa_db,
chat_client=StubClient(""),
model_id="test/model",
shards_dir=no_shards,
)
assert result["status"] == "cache_miss_then_written"
assert result["audit_mode"] == "CANONICAL_PROJECTION"
assert result["verifier_method"] == "canonical_projection"
assert result["pi_star_ref"] == "arithmetic@v1"
assert result["answer_text"] == "3/10"
assert result["lookup_path"] == "canonical_cache_miss"
assert result["sources"] == []
assert result["cache_key"] is not None
assert result["audit_event_hash"] is not None
assert result["run_dag_root"] is not None
def test_query_logic_short_circuits(tmp_path: Path):
qa_db = tmp_path / "qa.db"
no_shards = tmp_path / "shards"
result = query(
question="A IMPL B",
qa_db=qa_db,
chat_client=StubClient(""),
model_id="test/model",
shards_dir=no_shards,
)
assert result["status"] == "cache_miss_then_written"
assert result["pi_star_ref"] == "logic-kernel@v1"
assert result["answer_text"] == "(NOT A OR B)"
def test_query_canonical_transient_mode(tmp_path: Path):
"""Operators can disable persistence per-call via
policy['canonical_projection_preflight_persist']=False; the legacy
transient render-only behavior comes back (status='canonical_projection',
cache_key=None, no audit-chain entry)."""
qa_db = tmp_path / "qa.db"
no_shards = tmp_path / "shards"
result = query(
question="0.1 + 0.2",
qa_db=qa_db,
chat_client=StubClient(""),
model_id="test/model",
shards_dir=no_shards,
policy={"canonical_projection_preflight_persist": False},
)
assert result["status"] == "canonical_projection"
assert result["lookup_path"] == "preflight_canonical"
assert result["cache_key"] is None
def test_query_contrapositive_collapses_to_same_canonical(tmp_path: Path):
"""A IMPL B and (NOT B) IMPL (NOT A) are the same equivalence class."""
qa_db = tmp_path / "qa.db"
no_shards = tmp_path / "shards"
a = query(
question="A IMPL B",
qa_db=qa_db,
chat_client=StubClient(""),
model_id="m",
shards_dir=no_shards,
)
b = query(
question="(NOT B) IMPL (NOT A)",
qa_db=qa_db,
chat_client=StubClient(""),
model_id="m",
shards_dir=no_shards,
)
assert a["answer_text"] == b["answer_text"] == "(NOT A OR B)"
def test_query_natural_language_falls_through_to_rag(tmp_path: Path):
"""Natural-language question doesn't trigger the preflight; goes
to RAG and (with no corpus) returns no_sources."""
qa_db = tmp_path / "qa.db"
no_shards = tmp_path / "shards"
result = query(
question="what is the capital of france?",
qa_db=qa_db,
chat_client=StubClient(""),
model_id="m",
shards_dir=no_shards,
)
# Falls through — preflight didn't match, RAG runs, finds no shards.
assert result["status"] != "canonical_projection"
assert result.get("audit_mode") != "CANONICAL_PROJECTION"
def test_query_canonical_preflight_disable_via_policy(tmp_path: Path):
"""policy['canonical_projection_preflight']=False disables the
short-circuit even on math-shaped input."""
qa_db = tmp_path / "qa.db"
no_shards = tmp_path / "shards"
result = query(
question="0.1 + 0.2",
qa_db=qa_db,
chat_client=StubClient(""),
model_id="m",
shards_dir=no_shards,
policy={"canonical_projection_preflight": False},
)
assert result["status"] != "canonical_projection"
# ----- `arborist canon` CLI subcommand ------------------------------------
def _run_canon(*args: str) -> subprocess.CompletedProcess:
return subprocess.run(
[sys.executable, "-m", "arborist.cli", "canon", *args],
capture_output=True,
text=True,
check=False,
)
def test_cli_canon_arithmetic():
r = _run_canon("arithmetic@v1", "0.1 + 0.2")
assert r.returncode == 0, r.stderr
assert r.stdout.strip() == "3/10"
def test_cli_canon_logic():
r = _run_canon("logic-kernel@v1", "A IMPL B")
assert r.returncode == 0, r.stderr
assert r.stdout.strip() == "(NOT A OR B)"
def test_cli_canon_time_series():
r = _run_canon(
"time-series-quantized@v1",
'{"dt":1,"dv":0.1,"samples":[[0,1.0],[1,2.0]]}',
)
assert r.returncode == 0, r.stderr
assert r.stdout.strip() == "dt=1;dv=0.1;n=2;t0=0:10|20"
def test_cli_canon_list():
r = _run_canon("--list")
assert r.returncode == 0, r.stderr
keys = {line.split("\t")[0] for line in r.stdout.strip().split("\n")}
assert "arithmetic@v1" in keys
assert "logic-kernel@v1" in keys
assert "time-series-quantized@v1" in keys
assert "code-py-ast@v1" in keys
assert "claim-lattice@v1" in keys
assert "wikitext-base@v1" in keys
def test_cli_canon_json_emits_sha256():
r = _run_canon("--json", "arithmetic@v1", "0.1 + 0.2")
assert r.returncode == 0, r.stderr
obj = json.loads(r.stdout)
assert obj["pi_star_ref"] == "arithmetic@v1"
assert obj["input"] == "0.1 + 0.2"
assert obj["canonical"] == "3/10"
assert len(obj["canonical_sha256"]) == 64
def test_cli_canon_unknown_key_returns_2():
r = _run_canon("does-not-exist@v1", "anything")
assert r.returncode == 2
assert "unknown π*" in r.stderr
def test_cli_canon_pi_star_error_returns_1():
r = _run_canon("arithmetic@v1", "x + 1") # identifier rejected
assert r.returncode == 1
assert "error" in r.stderr.lower()
def test_cli_canon_missing_args_returns_2():
r = _run_canon()
assert r.returncode == 2
assert "required" in r.stderr.lower()