rohitg00/ai-engineering-from-scratch · error · ValueError

x out of [0, 1]

Error message

x out of [0, 1]

What it means

Error "x out of [0, 1]" thrown in rohitg00/ai-engineering-from-scratch.

Source

Thrown at phases/19-capstone-projects/53-result-evaluator/code/main.py:129

        aa = -(a + m) * (qab + m) * x / ((a + m2) * (qap + m2))
        d = 1.0 + aa * d
        if abs(d) < eps:
            d = eps
        c = 1.0 + aa / c
        if abs(c) < eps:
            c = eps
        d = 1.0 / d
        delta = d * c
        h *= delta
        if abs(delta - 1.0) < eps:
            return h
    return h


def regularised_incomplete_beta(a: float, b: float, x: float) -> float:
    """I_x(a, b) via the standard Lentz continued fraction, symmetric in x."""
    if x < 0.0 or x > 1.0:
        raise ValueError("x out of [0, 1]")
    if x == 0.0:
        return 0.0
    if x == 1.0:
        return 1.0
    log_bt = (
        math.lgamma(a + b) - math.lgamma(a) - math.lgamma(b)
        + a * math.log(x) + b * math.log(1.0 - x)
    )
    bt = math.exp(log_bt)
    if x < (a + 1.0) / (a + b + 2.0):
        return bt * _lentz_betacf(a, b, x) / a
    return 1.0 - bt * _lentz_betacf(b, a, 1.0 - x) / b


def two_sided_t_p_value(t_stat: float, df: int) -> float:
    """Two sided p value for a t statistic with df degrees of freedom."""
    if df <= 0:
        return 1.0

View on GitHub (pinned to 39ea8a1c6d)

When it happens

Trigger: Thrown at phases/19-capstone-projects/53-result-evaluator/code/main.py:129 when the library encounters an invalid state.

Common situations: See trigger scenarios.

AI-assisted analysis of rohitg00/ai-engineering-from-scratch@39ea8a1c6d (2026-08-26). Data as JSON: /api/errors/a31d6f3a8215ab12. Report an issue: GitHub.