def atan_taylor_get_cached(n, prec):
    # Taylor series with caching wins up to huge precisions
    # To avoid unnecessary precomputation at low precision, we
    # do it in steps
    # Round to next power of 2
    prec2 = (1<<(bitcount(prec-1))) + 20
    dprec = prec2 - prec
    if (n, prec2) in atan_taylor_cache:
        a, atan_a = atan_taylor_cache[n, prec2]
    else:
        a = n << (prec2 - ATAN_TAYLOR_SHIFT)
        atan_a = atan_newton(a, prec2)
        atan_taylor_cache[n, prec2] = (a, atan_a)
    return (a >> dprec), (atan_a >> dprec)
dataset/ETHPy150Open fredrik-johansson/mpmath/mpmath/libmp/libelefun.py/atan_taylor_get_cached/original