"""Tests that prove the verifier is trustworthy (it is the metric AND the later RL reward).

Run: pytest tests/test_verifier.py -q
"""

import sys
from pathlib import Path

sys.path.insert(0, str(Path(__file__).resolve().parents[1]))

from verifier.step_verifier import (  # noqa: E402
    extract_final_answer,
    verify_assertion,
    verify_chain,
)


# --------------------------------------------------------------------------- #
# 1. correct + verifiable chain
# --------------------------------------------------------------------------- #
def test_correct_and_verifiable():
    text = (
        "Tom packs 3 bags with 8 apples each. "
        "So the total is <<3*8 = 24>> apples. "
        "The answer is \\boxed{24}."
    )
    r = verify_chain(text, gold_answer=24)
    assert r["verifiable"] is True
    assert r["correct"] is True
    assert r["verified_and_correct"] is True
    assert r["n_assertions"] == 1 and r["n_verified"] == 1
    assert r["composes_to_final"] is True


# --------------------------------------------------------------------------- #
# 2. one arithmetic error -> not verifiable, the bad step flagged
# --------------------------------------------------------------------------- #
def test_arithmetic_error_flagged():
    text = "We compute <<2 + 2 = 5>> and conclude \\boxed{5}."
    r = verify_chain(text, gold_answer=5)
    assert r["verifiable"] is False
    assert r["n_assertions"] == 1 and r["n_verified"] == 0
    assert any("2 + 2" in f.get("expr", "") for f in r["failures"])


# --------------------------------------------------------------------------- #
# 3. THE fluency trap: fluent prose, right answer, NO assertions -> not verifiable
#    (proves the verifier rewards mechanical grounding, not plausible text)
# --------------------------------------------------------------------------- #
def test_fluency_trap():
    text = (
        "We carefully add up all the quantities involved, and after thinking it "
        "through it is clear the total works out to twenty-four, so the answer is "
        "\\boxed{24}."
    )
    r = verify_chain(text, gold_answer=24)
    assert r["has_loadbearing_assertions"] is False
    assert r["verifiable"] is False          # no load-bearing assertions
    assert r["correct"] is True              # final answer still matches gold
    assert r["verified_and_correct"] is False  # the two axes are independent


# --------------------------------------------------------------------------- #
# 4. steps verify but final answer does not compose from them -> not verifiable
# --------------------------------------------------------------------------- #
def test_non_composing_final():
    text = (
        "First <<10 * 2 = 20>>, then <<20 + 5 = 25>>. "
        "Therefore the answer is \\boxed{30}."
    )
    r = verify_chain(text, gold_answer=30)
    assert r["all_assertions_verified"] is True
    assert r["n_verified"] == 2
    assert r["composes_to_final"] is False
    assert r["verifiable"] is False
    assert any("compose" in f.get("reason", "") for f in r["failures"])


# --------------------------------------------------------------------------- #
# 5a. verifiable BUT WRONG (internally consistent + composes, final != gold)
# --------------------------------------------------------------------------- #
def test_verifiable_but_wrong():
    text = "Clearly <<2 + 2 = 4>>, so \\boxed{4}."
    r = verify_chain(text, gold_answer=5)
    assert r["verifiable"] is True
    assert r["correct"] is False
    assert r["verified_and_correct"] is False


# --------------------------------------------------------------------------- #
# 5b. correct BUT UNVERIFIABLE — same as the fluency trap axis, asserted distinctly
# --------------------------------------------------------------------------- #
def test_correct_but_unverifiable():
    text = "After some mental arithmetic the answer is \\boxed{42}."
    r = verify_chain(text, gold_answer=42)
    assert r["correct"] is True
    assert r["verifiable"] is False


# --------------------------------------------------------------------------- #
# 6. variable binding threads forward
# --------------------------------------------------------------------------- #
def test_variable_binding():
    text = (
        "Let total = <<3 * 8 = 24>>. "
        "Adding the bonus: <<total + 6 = 30>>. "
        "So \\boxed{30}."
    )
    r = verify_chain(text, gold_answer=30)
    assert r["n_assertions"] == 2 and r["n_verified"] == 2
    assert r["verifiable"] is True and r["correct"] is True


# --------------------------------------------------------------------------- #
# 7. fail-closed on an unbound symbol (v1 out-of-scope algebra)
# --------------------------------------------------------------------------- #
def test_unbound_symbol_fails_closed():
    text = "We have <<x + 2 = 5>> hence \\boxed{3}."
    r = verify_chain(text, gold_answer=3)
    assert r["n_verified"] == 0
    assert r["verifiable"] is False
    assert any("unbound" in f.get("reason", "") for f in r["failures"])


# --------------------------------------------------------------------------- #
# 8. tolerance policy: exact rationals + 1e-6 float
# --------------------------------------------------------------------------- #
def test_exact_rational():
    # decimals parse as exact rationals, so this is an EXACT match
    assert verify_assertion("0.1 + 0.2", "0.3", {}).ok is True


def test_float_tolerance():
    r = verify_assertion("2**0.5", "1.4142135", {})
    assert r.ok is True  # within 1e-6 relative


def test_float_outside_tolerance():
    r = verify_assertion("2**0.5", "1.41", {})
    assert r.ok is False


def test_thousands_separator():
    assert verify_assertion("1,000 + 234", "1,234", {}).ok is True


# --------------------------------------------------------------------------- #
# 9. final-answer extraction priority
# --------------------------------------------------------------------------- #
def test_final_answer_extraction():
    assert extract_final_answer("blah \\boxed{7} blah") == "7"
    assert extract_final_answer("steps...\n#### 42") == "42"
    assert extract_final_answer("so the answer is 13.") == "13"
    assert extract_final_answer("no answer here") is None


def test_unparseable_fails_closed():
    r = verify_assertion("3 +* 4", "7", {})
    assert r.ok is False