pytest_helpers.py

import cmath
import math
from inspect import getfullargspec
from typing import Any, Dict, Optional, Sequence, Tuple, Union

from . import _array_module as xp
from . import dtype_helpers as dh
from . import shape_helpers as sh
from . import stubs
from . import xp as _xp
from .typing import Array, DataType, Scalar, ScalarType, Shape

__all__ = [
    "raises",
    "doesnt_raise",
    "nargs",
    "fmt_kw",
    "is_pos_zero",
    "is_neg_zero",
    "assert_dtype",
    "assert_kw_dtype",
    "assert_default_float",
    "assert_default_int",
    "assert_default_index",
    "assert_shape",
    "assert_result_shape",
    "assert_keepdimable_shape",
    "assert_0d_equals",
    "assert_fill",
    "assert_array_elements",
    "assert_allclose"
]


def raises(exceptions, function, message=""):
    """
    Like pytest.raises() except it allows custom error messages
    """
    try:
        function()
    except exceptions:
        return
    except Exception as e:
        if message:
            raise AssertionError(
                f"Unexpected exception {e!r} (expected {exceptions}): {message}"
            )
        raise AssertionError(f"Unexpected exception {e!r} (expected {exceptions})")
    raise AssertionError(message)


def doesnt_raise(function, message=""):
    """
    The inverse of raises().

    Use doesnt_raise(function) to test that function() doesn't raise any
    exceptions. Returns the result of calling function.
    """
    if not callable(function):
        raise ValueError("doesnt_raise should take a lambda")
    try:
        return function()
    except Exception as e:
        if message:
            raise AssertionError(f"Unexpected exception {e!r}: {message}")
        raise AssertionError(f"Unexpected exception {e!r}")


def nargs(func_name):
    return len(getfullargspec(stubs.name_to_func[func_name]).args)


def fmt_kw(kw: Dict[str, Any]) -> str:
    return ", ".join(f"{k}={v}" for k, v in kw.items())


def is_pos_zero(n: float) -> bool:
    return n == 0 and math.copysign(1, n) == 1


def is_neg_zero(n: float) -> bool:
    return n == 0 and math.copysign(1, n) == -1


def assert_dtype(
    func_name: str,
    *,
    in_dtype: Union[DataType, Sequence[DataType]],
    out_dtype: DataType,
    expected: Optional[DataType] = None,
    repr_name: str = "out.dtype",
):
    """
    Assert the output dtype is as expected.

    If expected=None, we infer the expected dtype as in_dtype, to test
    out_dtype, e.g.

        >>> x = xp.arange(5, dtype=xp.uint8)
        >>> out = xp.abs(x)
        >>> assert_dtype('abs', in_dtype=x.dtype, out_dtype=out.dtype)

        is equivalent to

        >>> assert out.dtype == xp.uint8

    Or for multiple input dtypes, the expected dtype is inferred from their
    resulting type promotion, e.g.

        >>> x1 = xp.arange(5, dtype=xp.uint8)
        >>> x2 = xp.arange(5, dtype=xp.uint16)
        >>> out = xp.add(x1, x2)
        >>> assert_dtype('add', in_dtype=[x1.dtype, x2.dtype], out_dtype=out.dtype)

        is equivalent to

        >>> assert out.dtype == xp.uint16

    We can also specify the expected dtype ourselves, e.g.

        >>> x = xp.arange(5, dtype=xp.int8)
        >>> out = xp.sum(x)
        >>> default_int = xp.asarray(0).dtype
        >>> assert_dtype('sum', in_dtype=x, out_dtype=out.dtype, expected=default_int)

    """
    __tracebackhide__ = True
    in_dtypes = in_dtype if isinstance(in_dtype, Sequence) and not isinstance(in_dtype, str) else [in_dtype]
    f_in_dtypes = dh.fmt_types(tuple(in_dtypes))
    f_out_dtype = dh.dtype_to_name[out_dtype]
    if expected is None:
        expected = dh.result_type(*in_dtypes)
    f_expected = dh.dtype_to_name[expected]
    msg = (
        f"{repr_name}={f_out_dtype}, but should be {f_expected} "
        f"[{func_name}({f_in_dtypes})]"
    )
    assert out_dtype == expected, msg


def assert_float_to_complex_dtype(
    func_name: str, *, in_dtype: DataType, out_dtype: DataType
):
    if in_dtype == xp.float32:
        expected = xp.complex64
    else:
        assert in_dtype == xp.float64  # sanity check
        expected = xp.complex128
    assert_dtype(
        func_name, in_dtype=in_dtype, out_dtype=out_dtype, expected=expected
    )


def assert_complex_to_float_dtype(
    func_name: str, *, in_dtype: DataType, out_dtype: DataType, repr_name: str = "out.dtype"
):
    if in_dtype == xp.complex64:
        expected = xp.float32
    elif in_dtype == xp.complex128:
        expected = xp.float64
    else:
        assert in_dtype in (xp.float32, xp.float64)  # sanity check
        expected = in_dtype
    assert_dtype(
        func_name, in_dtype=in_dtype, out_dtype=out_dtype, expected=expected, repr_name=repr_name
    )


def assert_kw_dtype(
    func_name: str,
    *,
    kw_dtype: DataType,
    out_dtype: DataType,
):
    """
    Assert the output dtype is the passed keyword dtype, e.g.

        >>> kw = {'dtype': xp.uint8}
        >>> out = xp.ones(5, kw=kw)
        >>> assert_kw_dtype('ones', kw_dtype=kw['dtype'], out_dtype=out.dtype)

    """
    __tracebackhide__ = True
    f_kw_dtype = dh.dtype_to_name[kw_dtype]
    f_out_dtype = dh.dtype_to_name[out_dtype]
    msg = (
        f"out.dtype={f_out_dtype}, but should be {f_kw_dtype} "
        f"[{func_name}(dtype={f_kw_dtype})]"
    )
    assert out_dtype == kw_dtype, msg


def assert_default_float(func_name: str, out_dtype: DataType):
    """
    Assert the output dtype is the default float, e.g.

        >>> out = xp.ones(5)
        >>> assert_default_float('ones', out.dtype)

    """
    __tracebackhide__ = True
    f_dtype = dh.dtype_to_name[out_dtype]
    f_default = dh.dtype_to_name[dh.default_float]
    msg = (
        f"out.dtype={f_dtype}, should be default "
        f"floating-point dtype {f_default} [{func_name}()]"
    )
    assert out_dtype == dh.default_float, msg


def assert_default_complex(func_name: str, out_dtype: DataType):
    """
    Assert the output dtype is the default complex, e.g.

        >>> out = xp.asarray(4+2j)
        >>> assert_default_complex('asarray', out.dtype)

    """
    __tracebackhide__ = True
    f_dtype = dh.dtype_to_name[out_dtype]
    f_default = dh.dtype_to_name[dh.default_complex]
    msg = (
        f"out.dtype={f_dtype}, should be default "
        f"complex dtype {f_default} [{func_name}()]"
    )
    assert out_dtype == dh.default_complex, msg


def assert_default_int(func_name: str, out_dtype: DataType):
    """
    Assert the output dtype is the default int, e.g.

        >>> out = xp.full(5, 42)
        >>> assert_default_int('full', out.dtype)

    """
    __tracebackhide__ = True
    f_dtype = dh.dtype_to_name[out_dtype]
    f_default = dh.dtype_to_name[dh.default_int]
    msg = (
        f"out.dtype={f_dtype}, should be default "
        f"integer dtype {f_default} [{func_name}()]"
    )
    assert out_dtype == dh.default_int, msg


def assert_default_index(func_name: str, out_dtype: DataType, repr_name="out.dtype"):
    """
    Assert the output dtype is the default index dtype, e.g.

        >>> out = xp.argmax(xp.arange(5))
        >>> assert_default_int('argmax', out.dtype)

    """
    __tracebackhide__ = True
    f_dtype = dh.dtype_to_name[out_dtype]
    msg = (
        f"{repr_name}={f_dtype}, should be the default index dtype, "
        f"which is either int32 or int64 [{func_name}()]"
    )
    assert out_dtype in (xp.int32, xp.int64), msg


def assert_shape(
    func_name: str,
    *,
    out_shape: Union[int, Shape],
    expected: Union[int, Shape],
    repr_name="out.shape",
    kw: dict = {},
):
    """
    Assert the output shape is as expected, e.g.

        >>> out = xp.ones((3, 3, 3))
        >>> assert_shape('ones', out_shape=out.shape, expected=(3, 3, 3))

    """
    __tracebackhide__ = True
    if isinstance(out_shape, int):
        out_shape = (out_shape,)
    if isinstance(expected, int):
        expected = (expected,)
    msg = (
        f"{repr_name}={out_shape}, but should be {expected} [{func_name}({fmt_kw(kw)})]"
    )
    assert out_shape == expected, msg


def assert_result_shape(
    func_name: str,
    in_shapes: Sequence[Shape],
    out_shape: Shape,
    expected: Optional[Shape] = None,
    *,
    repr_name="out.shape",
    kw: dict = {},
):
    """
    Assert the output shape is as expected.

    If expected=None, we infer the expected shape as the result of broadcasting
    in_shapes, to test against out_shape, e.g.

        >>> out = xp.add(xp.ones((3, 1)), xp.ones((1, 3)))
        >>> assert_result_shape('add', in_shape=[(3, 1), (1, 3)], out_shape=out.shape)

        is equivalent to

        >>> assert out.shape == (3, 3)

    """
    __tracebackhide__ = True
    if expected is None:
        expected = sh.broadcast_shapes(*in_shapes)
    f_in_shapes = " . ".join(str(s) for s in in_shapes)
    f_sig = f" {f_in_shapes} "
    if kw:
        f_sig += f", {fmt_kw(kw)}"
    msg = f"{repr_name}={out_shape}, but should be {expected} [{func_name}({f_sig})]"
    assert out_shape == expected, msg


def assert_keepdimable_shape(
    func_name: str,
    *,
    in_shape: Shape,
    out_shape: Shape,
    axes: Tuple[int, ...],
    keepdims: bool,
    kw: dict = {},
):
    """
    Assert the output shape from a keepdimable function is as expected, e.g.

        >>> x = xp.asarray([[0, 1, 2], [3, 4, 5], [6, 7, 8]])
        >>> out1 = xp.max(x, keepdims=False)
        >>> out2 = xp.max(x, keepdims=True)
        >>> assert_keepdimable_shape('max', in_shape=x.shape, out_shape=out1.shape, axes=(0, 1), keepdims=False)
        >>> assert_keepdimable_shape('max', in_shape=x.shape, out_shape=out2.shape, axes=(0, 1), keepdims=True)

        is equivalent to

        >>> assert out1.shape == ()
        >>> assert out2.shape == (1, 1)

    """
    __tracebackhide__ = True
    if keepdims:
        shape = tuple(1 if axis in axes else side for axis, side in enumerate(in_shape))
    else:
        shape = tuple(side for axis, side in enumerate(in_shape) if axis not in axes)
    assert_shape(func_name, out_shape=out_shape, expected=shape, kw=kw)


def assert_0d_equals(
    func_name: str,
    *,
    x_repr: str,
    x_val: Array,
    out_repr: str,
    out_val: Array,
    kw: dict = {},
):
    """
    Assert a 0d array is as expected, e.g.

        >>> x = xp.asarray([0, 1, 2])
        >>> kw = {'copy': True}
        >>> res = xp.asarray(x, **kw)
        >>> res[0] = 42
        >>> assert_0d_equals('asarray', x_repr='x[0]', x_val=x[0], out_repr='x[0]', out_val=res[0], kw=kw)

        is equivalent to

        >>> assert res[0] == x[0]

    """
    __tracebackhide__ = True
    msg = (
        f"{out_repr}={out_val}, but should be {x_repr}={x_val} "
        f"[{func_name}({fmt_kw(kw)})]"
    )
    if dh.is_float_dtype(out_val.dtype) and xp.isnan(out_val):
        assert xp.isnan(x_val), msg
    else:
        assert x_val == out_val, msg


def assert_scalar_equals(
    func_name: str,
    *,
    type_: ScalarType,
    idx: Shape,
    out: Scalar,
    expected: Scalar,
    repr_name: str = "out",
    kw: dict = {},
):
    """
    Assert a 0d array, converted to a scalar, is as expected, e.g.

        >>> x = xp.ones(5, dtype=xp.uint8)
        >>> out = xp.sum(x)
        >>> assert_scalar_equals('sum', type_int, out=(), out=int(out), expected=5)

        is equivalent to

        >>> assert int(out) == 5

    NOTE: This function does *exact* comparison, even for floats. For
    approximate float comparisons use assert_scalar_isclose
    """
    __tracebackhide__ = True
    repr_name = repr_name if idx == () else f"{repr_name}[{idx}]"
    f_func = f"{func_name}({fmt_kw(kw)})"
    if type_ in [bool, int]:
        msg = f"{repr_name}={out}, but should be {expected} [{f_func}]"
        assert out == expected, msg
    elif cmath.isnan(expected):
        msg = f"{repr_name}={out}, but should be {expected} [{f_func}]"
        assert cmath.isnan(out), msg
    else:
        msg = f"{repr_name}={out}, but should be {expected} [{f_func}]"
        assert out == expected, msg


def assert_scalar_isclose(
    func_name: str,
    *,
    rel_tol: float = 0.25,
    abs_tol: float = 1,
    type_: ScalarType,
    idx: Shape,
    out: Scalar,
    expected: Scalar,
    repr_name: str = "out",
    kw: dict = {},
):
    """
    Assert a 0d array, converted to a scalar, is close to the expected value, e.g.

        >>> x = xp.ones(5., dtype=xp.float64)
        >>> out = xp.sum(x)
        >>> assert_scalar_isclose('sum', type_int, out=(), out=int(out), expected=5.)

        is equivalent to

        >>> assert math.isclose(float(out) == 5.)

    """
    __tracebackhide__ = True
    repr_name = repr_name if idx == () else f"{repr_name}[{idx}]"
    f_func = f"{func_name}({fmt_kw(kw)})"
    msg = f"{repr_name}={out}, but should be roughly {expected} [{f_func}]"
    assert type_ in [float, complex] # Sanity check
    assert cmath.isclose(out, expected, rel_tol=rel_tol, abs_tol=abs_tol), msg


def assert_fill(
    func_name: str,
    *,
    fill_value: Scalar,
    dtype: DataType,
    out: Array,
    kw: dict = {},
):
    """
    Assert all elements of an array is as expected, e.g.

        >>> out = xp.full(5, 42, dtype=xp.uint8)
        >>> assert_fill('full', fill_value=42, dtype=xp.uint8, out=out, kw=dict(shape=5))

        is equivalent to

        >>> assert xp.all(out == 42)

    """
    __tracebackhide__ = True
    msg = f"out not filled with {fill_value} [{func_name}({fmt_kw(kw)})]\n{out=}"
    if cmath.isnan(fill_value):
        assert xp.all(xp.isnan(out)), msg
    else:
        assert xp.all(xp.equal(out, xp.asarray(fill_value, dtype=dtype))), msg


def _has_functional_signbit() -> bool:
    # signbit can be available but not implemented (e.g., in array-api-strict)
    if not hasattr(_xp, "signbit"):
        return False
    try:
        assert _xp.all(_xp.signbit(_xp.asarray(0.0)) == False)
    except:
        return False
    return True

def _real_float_strict_equals(out: Array, expected: Array) -> bool:
    nan_mask = xp.isnan(out)
    if not xp.all(nan_mask == xp.isnan(expected)):
        return False
    ignore_mask = nan_mask

    # Test sign of zeroes if xp.signbit() available, otherwise ignore as it's
    # not that big of a deal for the perf costs.
    if _has_functional_signbit():
        out_zero_mask = out == 0
        out_sign_mask = _xp.signbit(out)
        out_pos_zero_mask = out_zero_mask & out_sign_mask
        out_neg_zero_mask = out_zero_mask & ~out_sign_mask
        expected_zero_mask = expected == 0
        expected_sign_mask = _xp.signbit(expected)
        expected_pos_zero_mask = expected_zero_mask & expected_sign_mask
        expected_neg_zero_mask = expected_zero_mask & ~expected_sign_mask
        pos_zero_match = out_pos_zero_mask == expected_pos_zero_mask
        neg_zero_match = out_neg_zero_mask == expected_neg_zero_mask
        if not (xp.all(pos_zero_match) and xp.all(neg_zero_match)):
            return False
        ignore_mask |= out_zero_mask

    replacement = xp.asarray(42, dtype=out.dtype)  # i.e. an arbitrary non-zero value that equals itself
    assert replacement == replacement  # sanity check
    match = xp.where(ignore_mask, replacement, out) == xp.where(ignore_mask, replacement, expected)
    return xp.all(match)


def _assert_float_element(at_out: Array, at_expected: Array, msg: str):
    if xp.isnan(at_expected):
        assert xp.isnan(at_out), msg
    elif at_expected == 0.0 or at_expected == -0.0:
        scalar_at_expected = float(at_expected)
        scalar_at_out = float(at_out)
        if is_pos_zero(scalar_at_expected):
            assert is_pos_zero(scalar_at_out), msg
        else:
            assert is_neg_zero(scalar_at_expected)  # sanity check
            assert is_neg_zero(scalar_at_out), msg
    else:
        assert at_out == at_expected, msg


def assert_array_elements(
    func_name: str,
    *,
    out: Array,
    expected: Array,
    out_repr: str = "out",
    kw: dict = {},
):
    """
    Assert array elements are (strictly) as expected, e.g.

        >>> x = xp.arange(5)
        >>> out = xp.asarray(x)
        >>> assert_array_elements('asarray', out=out, expected=x)

        is equivalent to

        >>> assert xp.all(out == x)

    """
    __tracebackhide__ = True
    dh.result_type(out.dtype, expected.dtype)  # sanity check
    assert_shape(func_name, out_shape=out.shape, expected=expected.shape, kw=kw)  # sanity check
    f_func = f"[{func_name}({fmt_kw(kw)})]"

    # First we try short-circuit for a successful assertion by using vectorised checks.
    if out.dtype in dh.real_float_dtypes:
        if _real_float_strict_equals(out, expected):
            return
    elif out.dtype in dh.complex_dtypes:
        real_match = _real_float_strict_equals(xp.real(out), xp.real(expected))
        imag_match = _real_float_strict_equals(xp.imag(out), xp.imag(expected))
        if real_match and imag_match:
            return
    else:
        match = out == expected
        if xp.all(match):
            return

    # In case of mismatch, generate a more helpful error. Cycling through all indices is
    # costly in some array api implementations, so we only do this in the case of a failure.
    msg_template = "{}={}, but should be {} " + f_func
    if out.dtype in dh.real_float_dtypes:
        for idx in sh.ndindex(out.shape):
            at_out = out[idx]
            at_expected = expected[idx]
            msg = msg_template.format(sh.fmt_idx(out_repr, idx), at_out, at_expected)
            _assert_float_element(at_out, at_expected, msg)
    elif out.dtype in dh.complex_dtypes:
        assert (out.dtype in dh.complex_dtypes) == (expected.dtype in dh.complex_dtypes)
        for idx in sh.ndindex(out.shape):
            at_out = out[idx]
            at_expected = expected[idx]
            msg = msg_template.format(sh.fmt_idx(out_repr, idx), at_out, at_expected)
            _assert_float_element(xp.real(at_out), xp.real(at_expected), msg)
            _assert_float_element(xp.imag(at_out), xp.imag(at_expected), msg)
    else:
        for idx in sh.ndindex(out.shape):
            at_out = out[idx]
            at_expected = expected[idx]
            msg = msg_template.format(sh.fmt_idx(out_repr, idx), at_out, at_expected)
            assert at_out == at_expected, msg


def assert_allclose(actual, desired, *, atol=1e-7, rtol=1e-7, equal_nan=True, msg_extra=""):
    if equal_nan:
        # XXX assert same position, mask away
        pass

        msg = f"The input arrays do not have the same shapes ({actual.shape} != {desired.shape}){msg_extra}"
        assert actual.shape == desired.shape, msg

        msg = f"The input arrays do not have the same shapes ({actual.shape} != {desired.shape}){msg_extra}"
        assert actual.dtype == desired.dtype, msg

    delta = xp.abs(actual - desired)
    assert xp.all(delta < atol + xp.abs(actual)*rtol), msg_extra