"""Tests for :mod:`physix.verifier.parser`.

The parser is the contract between LLM output and the simulator. Most
tests here exist because of a real failure mode caught during live
episodes — concretely, the velocity-alias rules and unknown-symbol
hints close grammar gaps that were silently scoring competent agent
outputs as ``r_format=0``.
"""

from __future__ import annotations

import pytest
import sympy as sp

from physix.verifier.parser import (
    GRAMMAR_HINT,
    ParseError,
    parse_equation,
)


def _parse(
    text: str,
    state_variables: tuple[str, ...] = ("y", "vy"),
    parameter_names: frozenset[str] = frozenset(),
):
    return parse_equation(text, state_variables, parameter_names)


def test_basic_equation_round_trips():
    parsed = _parse("d2y/dt2 = -9.81")
    assert len(parsed.equations) == 1
    eq = parsed.equations[0]
    assert eq.var == "y"
    assert eq.order == 2
    assert sp.simplify(eq.rhs - sp.Float(-9.81)) == 0


def test_dx_dt_alias_substitutes_for_vx_when_velocity_state_exists():
    """``dx/dt`` is a valid synonym for ``vx`` in damped-spring style systems.

    Regression: 7B produced the textbook-correct equation
    ``d2x/dt2 = -k/m * x - c/m * dx/dt`` on turn 1 and we silently
    rejected it because ``dx`` and ``dt`` were not whitelisted.
    """
    parsed = parse_equation(
        "d2x/dt2 = -k/m * x - c/m * dx/dt",
        state_variables=("x", "vx"),
        parameter_names=frozenset({"k", "c", "m"}),
    )
    eq = parsed.equations[0]
    assert "vx" in {s.name for s in eq.rhs.free_symbols}
    assert "dx" not in {s.name for s in eq.rhs.free_symbols}
    assert "dt" not in {s.name for s in eq.rhs.free_symbols}


def test_bare_dx_alias_substitutes_for_vx():
    """A bare ``dx`` (without ``/dt``) is also accepted as the velocity."""
    parsed = parse_equation(
        "d2x/dt2 = -k*x - c*dx",
        state_variables=("x", "vx"),
        parameter_names=frozenset({"k", "c"}),
    )
    eq = parsed.equations[0]
    free = {s.name for s in eq.rhs.free_symbols}
    assert "vx" in free
    assert "dx" not in free


def test_dy_dt_alias_substitutes_for_vy():
    """The same alias rule applies to any ``<var>``/``v<var>`` pairing."""
    parsed = parse_equation(
        "d2y/dt2 = -9.81 - 0.1 * dy/dt",
        state_variables=("y", "vy"),
        parameter_names=frozenset(),
    )
    eq = parsed.equations[0]
    free = {s.name for s in eq.rhs.free_symbols}
    assert free == {"vy"}


def test_alias_does_not_fire_when_velocity_state_is_named_dvar():
    """For systems like damped pendulum where the state itself is ``dtheta``,
    we must *not* substitute ``dtheta`` away — it is the canonical state name.
    """
    parsed = parse_equation(
        "d2theta/dt2 = -9.81 * sin(theta) - b * dtheta",
        state_variables=("theta", "dtheta"),
        parameter_names=frozenset({"b"}),
    )
    eq = parsed.equations[0]
    free = {s.name for s in eq.rhs.free_symbols}
    assert "dtheta" in free
    assert "vtheta" not in free


def test_alias_only_replaces_word_boundary_matches():
    """``dx`` substring inside a longer identifier must be left alone.

    Param names like ``mu_dx`` or ``kdx`` should not be silently
    rewritten to ``mu_vx``/``kvx``.
    """
    parsed = parse_equation(
        "d2x/dt2 = -k * x + mu_dx * vx",
        state_variables=("x", "vx"),
        parameter_names=frozenset({"k", "mu_dx"}),
    )
    eq = parsed.equations[0]
    free = {s.name for s in eq.rhs.free_symbols}
    assert "mu_dx" in free


def test_unknown_dx_in_system_without_paired_velocity_includes_hint():
    """Without a ``vx`` state, ``dx`` cannot be aliased and must reject —
    but the error should suggest the actual state name ``x``."""
    with pytest.raises(ParseError) as excinfo:
        parse_equation(
            "dx/dt = -k * dx",
            state_variables=("x",),
            parameter_names=frozenset({"k"}),
        )
    assert "dx" in str(excinfo.value)
    assert "no separate velocity name" in str(excinfo.value)


def test_unknown_t_emits_autonomy_hint():
    """``t`` is the most common forbidden symbol; the error must explain
    why so the model stops re-emitting time-explicit RHSs across turns."""
    with pytest.raises(ParseError) as excinfo:
        parse_equation(
            "d2theta/dt2 = -k * theta + c * t",
            state_variables=("theta", "dtheta"),
            parameter_names=frozenset({"k", "c"}),
        )
    msg = str(excinfo.value)
    assert "'t'" in msg
    assert "autonomous" in msg


def test_grammar_hint_documents_velocity_convention():
    """The system prompt embeds GRAMMAR_HINT verbatim. Whoever opens
    this file looking for *why* dx/dt is now legal will find the
    explanation; whoever weakens the convention by accident will
    trip this test.
    """
    assert "vx" in GRAMMAR_HINT
    assert "dx/dt" in GRAMMAR_HINT
    assert "autonomous" in GRAMMAR_HINT


def test_multiple_equations_split_on_semicolons_keep_alias_behaviour():
    """The alias rule must apply per-equation when payloads are stacked."""
    parsed = parse_equation(
        "dx/dt = vx; d2x/dt2 = -k * x - c * dx/dt",
        state_variables=("x", "vx"),
        parameter_names=frozenset({"k", "c"}),
    )
    assert len(parsed.equations) == 2
    second_rhs = parsed.equations[1].rhs
    free = {s.name for s in second_rhs.free_symbols}
    assert "vx" in free
    assert "dx" not in free


def test_dotted_attribute_access_is_rejected_with_clear_error():
    """Regression test for the GRPO crash on completion::

        d2theta/dt2 = ... * np.sqrt(L**2 - theta**2) / L

    Pre-v2 the parser used ``sympy.sympify`` which turned ``np`` into
    ``Symbol('np')`` and then evaluated ``.sqrt(...)`` on it during
    ``eval``, raising ``AttributeError: 'Symbol' object has no
    attribute 'sqrt'`` *inside* sympy and tearing down the entire RL
    step. v2 parses with ``ast.parse`` and a whitelist visitor that
    rejects ``ast.Attribute`` (and call-with-attribute func)
    structurally — there is no longer an "eval" stage that can crash.
    """
    with pytest.raises(ParseError) as excinfo:
        parse_equation(
            "d2theta/dt2 = -theta + np.sqrt(L**2 - theta**2) / L",
            state_variables=("theta", "dtheta"),
            parameter_names=frozenset({"L"}),
        )
    msg = str(excinfo.value)
    assert "Attribute access is not allowed" in msg
    # Hint always nudges toward the bare-function form.
    assert "sqrt(x)" in msg or "sqrt(" in msg


@pytest.mark.parametrize(
    "rhs",
    [
        "math.sin(theta)",
        "numpy.cos(theta) + 1",
        "np.exp(-theta**2)",
        "scipy.special.expit(theta)",
        "theta.diff()",
    ],
)
def test_dotted_attribute_access_variants_all_rejected(rhs):
    """Defence in depth: every common ``library.fn`` shape — both the
    'attribute as function' (``np.sqrt(x)``) and 'attribute as value'
    (``theta.something``) shapes — must reject with the same
    user-facing wording."""
    with pytest.raises(ParseError) as excinfo:
        parse_equation(
            f"d2theta/dt2 = {rhs}",
            state_variables=("theta", "dtheta"),
            parameter_names=frozenset(),
        )
    assert "Attribute access is not allowed" in str(excinfo.value)


def test_decimal_literals_are_not_misread_as_attribute_access():
    """Numbers like ``1.05`` must parse as constants — they were a real
    coefficient in the failing pendulum equation and ``ast.parse``
    correctly tokenises them as ``ast.Constant(1.05)``, not as
    Attribute access.
    """
    parsed = parse_equation(
        "d2theta/dt2 = -1.05 * theta",
        state_variables=("theta", "dtheta"),
        parameter_names=frozenset(),
    )
    assert len(parsed.equations) == 1


def test_keyword_arguments_in_call_are_rejected_with_specific_hint():
    """Pre-v2, ``sin(theta=0.1)`` reached sympy's eval and raised
    ``TypeError`` from inside ``parse_expr``. v2's call validator
    catches it at the AST level and gives the model a one-line fix.
    """
    with pytest.raises(ParseError, match="Keyword arguments"):
        parse_equation(
            "d2y/dt2 = sin(theta=0.1)",
            state_variables=("y", "vy"),
            parameter_names=frozenset(),
        )


@pytest.mark.parametrize(
    "rhs, expected_keyword",
    [
        ("vy[0]", "Array indexing"),
        ("y if vy > 0 else -y", "Conditional"),
        ("lambda x: x", "Lambda"),
        ("y == vy", "Comparisons"),
        ("y and vy", "Boolean"),
        ("(y, vy)", "Collection"),
        # Lambda nested in a call hits the call-with-non-Name-func branch,
        # not the bare Lambda branch — keep coverage for that path too.
        ("(lambda x: x)(y)", "computed-name call"),
    ],
)
def test_disallowed_constructs_each_have_targeted_error(rhs, expected_keyword):
    """The whitelist visitor must reject each non-arithmetic shape with
    a hint that names the construct — the error string is what the
    LLM sees on the next turn, so vague messages waste turns. This
    locks in coverage so adding a new shape requires adding a test
    *and* a branch.
    """
    with pytest.raises(ParseError) as excinfo:
        parse_equation(
            f"d2y/dt2 = {rhs}",
            state_variables=("y", "vy"),
            parameter_names=frozenset(),
        )
    assert expected_keyword in str(excinfo.value)


def test_caret_is_accepted_as_power_synonym():
    """Physics notation universally writes ``x^2`` for the square. v2
    rewrites ``^`` → ``**`` before AST parse so the agent doesn't have
    to remember Python's XOR/power split. (Pre-v2 the grammar hint
    actively *disallowed* ``^`` — the model frequently emitted it
    anyway and got format=0 for purely cosmetic reasons.)
    """
    parsed = parse_equation(
        "d2y/dt2 = -k * y^2",
        state_variables=("y", "vy"),
        parameter_names=frozenset({"k"}),
    )
    eq = parsed.equations[0]
    # k * y**2 = k * y * y → operator count of 2 (Mul + Pow + Pow's UnaryMinus
    # outer Mul). What we really care about: the rhs equals the explicit form.
    expected = parse_equation(
        "d2y/dt2 = -k * y**2",
        state_variables=("y", "vy"),
        parameter_names=frozenset({"k"}),
    ).equations[0]
    assert sp.simplify(eq.rhs - expected.rhs) == 0


def test_only_parse_error_ever_escapes_the_parser():
    """Contract test: whatever the agent writes, the *only* exception
    type that ever leaves this module is :class:`ParseError`. The
    scorer relies on this to convert grammar failures into
    ``r_format = 0`` instead of crashing the entire GRPO group (which
    is what zeroed loss + zeroed reward in the v1 training run).

    We sweep a grab-bag of historically problematic shapes and
    confirm every one becomes ``ParseError``, never bare
    ``AttributeError`` / ``TypeError`` / ``SyntaxError``.
    """
    pathological = [
        "np.sqrt(y)",
        "sin(theta=0.1)",
        "(lambda x: x)(y)",
        "y if vy else -y",
        "y == vy",
        "y[0]",
        "y; import os",  # legal Python, illegal here — first arm parses, second is rejected by split-then-validate
        "1.05.foo",  # decimal followed by attribute
        "y ** vy ** y ** vy ** y",  # legal but deep; just confirms no crash
    ]
    for raw in pathological:
        try:
            parse_equation(
                f"d2y/dt2 = {raw}",
                state_variables=("y", "vy"),
                parameter_names=frozenset(),
            )
        except ParseError:
            continue  # expected for most
        except BaseException as exc:  # noqa: BLE001 — that's the whole point
            raise AssertionError(
                f"Non-ParseError escaped parser for input {raw!r}: "
                f"{type(exc).__name__}: {exc}"
            ) from exc