Reversing shift-XORed in python

reverse_shift_xored.py

def reverse_right_shift(value, shift, mult=0xffffffff):
    output, i = 0, 0
    while i * shift < 32:
        compartment = int(bin(0xffffffff << (32 - shift))[-32:], 2) >> (shift * i)
        part_output = value & compartment
        value ^= part_output >> shift & mult
        output |= part_output
        i += 1
    return output

def reverse_left_shift(value, shift, mult=0xffffffff):
    output, i = 0, 0
    while i * shift < 32:
        compartment = int(bin((0xffffffff >> (32- shift)) << (shift * i))[-32:], 2)
        part_output = value & compartment
        value ^= part_output << shift & mult
        output |= part_output
        i += 1
    return output

value = 3009615726
_value = value ^ value >> 10
assert reverse_right_shift(_value, 10) == value
_value = value ^ value << 15 & 15141003
assert reverse_left_shift(_value, 15, 15141003) == value