This is an automatically generated file.

Part 1

Part 2

def num_theory_sqrt_value(x, D, Q, z, z1):
    """Test utility."""
    x = z1 * Q
    x = floor(ONE_HALF - x / B) * B + x
    Q = (Q - x * z) / B + x * x * (D / B)
    z = z - TWO * x * D

Part 3

    if z <= ZERO:
        if ultra_verbose:
            print("\t\t\tnum_theory_sqrt_value: z = {:.17} <= ZERO".format(z))
        z = - z
        z1 = - z1

Part 4

    D = B * D
    if ultra_verbose:
        print("\tnew D = {:.17e} Q = {:.17e}".format(D, Q))
    return x, D, Q, z, z1

Part 5