def _int_to_real(num):
"""
Convert REAL8 from internal integer representation to Python reals.
Zeroes:
>>> print(_int_to_real(0x0))
0.0
>>> print(_int_to_real(0x8000000000000000)) # negative
0.0
>>> print(_int_to_real(0xff00000000000000)) # denormalized
0.0
Others:
>>> print(_int_to_real(0x4110000000000000))
1.0
>>> print(_int_to_real(0xC120000000000000))
-2.0
"""
sgn = -1 if 0x8000000000000000 & num else 1
mant = num & 0x00ffffffffffffff
exp = (num >> 56) & 0x7f
return math.ldexp(sgn * mant, 4 * (exp - 64) - 56)
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