# Test cases for the math module (compile and run)

[case testMathOps]
from typing import Any, Callable
from typing_extensions import Final
import math
from math import pi, e, tau, inf, nan
from testutil import assertRaises, float_vals, assertDomainError, assertMathRangeError

pymath: Any = math

def validate_one_arg(test: Callable[[float], float], validate: Callable[[float], float]) -> None:
    """Ensure that test and validate behave the same for various float args."""
    for x in float_vals:
        try:
            expected = validate(x)
        except Exception as e:
            try:
                test(x)
                assert False, f"no exception raised for {x!r}, expected {e!r}"
            except Exception as e2:
                assert repr(e) == repr(e2), f"actual for {x!r}: {e2!r}, expected: {e!r}"
                continue
        actual = test(x)
        assert repr(actual) == repr(expected), (
            f"actual for {x!r}: {actual!r}, expected {expected!r}")

def validate_two_arg(test: Callable[[float, float], float],
                     validate: Callable[[float, float], float]) -> None:
    """Ensure that test and validate behave the same for various float args."""
    for x in float_vals:
        for y in float_vals:
            args = f"({x!r}, {y!r})"
            try:
                expected = validate(x, y)
            except Exception as e:
                try:
                    test(x, y)
                    assert False, f"no exception raised for {args}, expected {e!r}"
                except Exception as e2:
                    assert repr(e) == repr(e2), f"actual for {args}: {e2!r}, expected: {e!r}"
                    continue
            try:
                actual = test(x, y)
            except Exception as e:
                assert False, f"no exception expected for {args}, got {e!r}"
            assert repr(actual) == repr(expected), (
                f"actual for {args}: {actual!r}, expected {expected!r}")

def test_sqrt() -> None:
    validate_one_arg(lambda x: math.sqrt(x), pymath.sqrt)

def test_sin() -> None:
    validate_one_arg(lambda x: math.sin(x), pymath.sin)

def test_cos() -> None:
    validate_one_arg(lambda x: math.cos(x), pymath.cos)

def test_tan() -> None:
    validate_one_arg(lambda x: math.tan(x), pymath.tan)

def test_exp() -> None:
    validate_one_arg(lambda x: math.exp(x), pymath.exp)

def test_log() -> None:
    validate_one_arg(lambda x: math.log(x), pymath.log)

def test_floor() -> None:
    validate_one_arg(lambda x: math.floor(x), pymath.floor)

def test_ceil() -> None:
    validate_one_arg(lambda x: math.ceil(x), pymath.ceil)

def test_fabs() -> None:
    validate_one_arg(lambda x: math.fabs(x), pymath.fabs)

def test_pow() -> None:
    validate_two_arg(lambda x, y: math.pow(x, y), pymath.pow)

def test_copysign() -> None:
    validate_two_arg(lambda x, y: math.copysign(x, y), pymath.copysign)

def test_isinf() -> None:
    for x in float_vals:
        assert repr(math.isinf(x)) == repr(pymath.isinf(x))

def test_isnan() -> None:
    for x in float_vals:
        assert repr(math.isnan(x)) == repr(pymath.isnan(x))


def test_pi_is_inlined_correctly() -> None:
    assert math.pi == pi == 3.141592653589793

def test_e_is_inlined_correctly() -> None:
    assert math.e == e == 2.718281828459045

def test_tau_is_inlined_correctly() -> None:
    assert math.tau == tau == 6.283185307179586

def test_inf_is_inlined_correctly() -> None:
    assert math.inf == inf == float("inf")

def test_nan_is_inlined_correctly() -> None:
    assert math.isnan(math.nan)
    assert math.isnan(nan)