Precision Discrepancy Between Fortran And Python (sin Function)

I see a discrepancy between python and Fortran when using the sinus function. Could anyone shed light on this, please? in python: import math print(math.sin(6.283185307

Solution 1:

According to IEEE 754 for float representation:

In [7]: bin(3.3077720792452914e-15.view(np.uint64))
Out[7]: '0b11110011101101110010110011010000000000000000000000000000000000'

shows a truncated mantissa, when

In [9]: bin(3.3077843189710302e-15.view(np.uint64))
Out[9]: '0b11110011101101110010110011101100111001100111010111010001111111'

shows a plain one.

Probably a type issue, with a float32 in the process, even the origin is mysterious.