from typing import Sequence

from .charts_scale_linear_scale import interpolate, normalise, pair, round6


def invert_linear(domain: Sequence[float], range: Sequence[float], value: float) -> float:
    """The domain value at a position in the range: linear_scale read backwards.

    Never clamped; a position past the end of the axis is a value past the end
    of the data.
    """
    d0, d1 = pair(domain, "domain")
    r0, r1 = pair(range, "range")
    return round6(interpolate(d0, d1, normalise(r0, r1, value, "range")))