"""Money helpers.

Every monetary value in the engine is a :class:`decimal.Decimal`. We never use
``float`` for money — floating point cannot represent cents exactly and tax
authorities care about the cent. All public engine functions accept ``int``,
``str`` or ``Decimal`` and return ``Decimal`` rounded to two places using
banker-free, half-up rounding (the convention the SAT and IRS expect).
"""

from __future__ import annotations

from decimal import Decimal, ROUND_HALF_UP
from typing import Union

Number = Union[int, str, float, Decimal]

CENTS = Decimal("0.01")


def D(value: Number) -> Decimal:
    """Coerce any supported number into an *unrounded* ``Decimal``.

    ``float`` is routed through ``str`` so that ``0.1`` becomes ``Decimal("0.1")``
    rather than the binary-approximation noise ``Decimal("0.1000000000000000055…")``.
    """
    if isinstance(value, Decimal):
        return value
    return Decimal(str(value))


def money(value: Number) -> Decimal:
    """Coerce and round to two decimal places (half-up)."""
    return D(value).quantize(CENTS, rounding=ROUND_HALF_UP)


def pct(value: Number) -> Decimal:
    """Interpret a human percentage (``16`` → ``0.16``)."""
    return D(value) / Decimal(100)