import operator from ._utils import deprecated __all__ = ["ceil_log2", "exact_log2", "log2_int", "bits_for"] def ceil_log2(n): """Returns the integer log2 of the smallest power-of-2 greater than or equal to `n`. Raises a `ValueError` for negative inputs.""" n = operator.index(n) if n < 0: raise ValueError("{n} is negative") if n == 0: return 0 return (n - 1).bit_length() def exact_log2(n): """Returns the integer log2 of `n`, which must be an exact power of two. Raises a `ValueError` if `n` is not a power of two.""" n = operator.index(n) if n <= 0 or (n & (n - 1)): raise ValueError("{n} is not a power of 2") return (n - 1).bit_length() @deprecated("instead of `log2_int(n, True)`, use `exact_log2(n)`; instead of `log2_int(n, False)` use `ceil_log2(n)`") def log2_int(n, need_pow2=True): n = operator.index(n) if n == 0: return 0 r = (n - 1).bit_length() if need_pow2 and (1 << r) != n: raise ValueError(f"{n} is not a power of 2") return r def bits_for(n, require_sign_bit=False): n = operator.index(n) if n > 0: r = ceil_log2(n + 1) else: require_sign_bit = True r = ceil_log2(-n) if require_sign_bit: r += 1 return r