np.log

np.log(x)

Computes the logarithm (base GF.primitive_element) of a Galois field array element-wise.

Calling np.log() implicitly uses base galois.FieldClass.primitive_element. See galois.FieldArray.log() for logarithm with arbitrary base.

References

• https://numpy.org/doc/stable/reference/generated/numpy.log.html

Examples

In [1]: GF = galois.GF(31)

In [2]: alpha = GF.primitive_element; alpha
Out[2]: GF(3, order=31)

In [3]: x = GF.Random(10, low=1); x
Out[3]: GF([15, 11,  3, 18,  5, 25, 21, 15, 26, 20], order=31)

In [4]: y = np.log(x); y
Out[4]: array([21, 23,  1, 26, 20, 10, 29, 21,  5,  8])

In [5]: alpha ** y
Out[5]: GF([15, 11,  3, 18,  5, 25, 21, 15, 26, 20], order=31)