# Mathematical functions with automatic domain#

Note

numpy.emath is a preferred alias for numpy.lib.scimath, available after numpy is imported.

Wrapper functions to more user-friendly calling of certain math functions whose output data-type is different than the input data-type in certain domains of the input.

For example, for functions like log with branch cuts, the versions in this module provide the mathematically valid answers in the complex plane:

>>> import math
>>> np.emath.log(-math.exp(1)) == (1+1j*math.pi)
True

Similarly, sqrt, other base logarithms, power and trig functions are correctly handled. See their respective docstrings for specific examples.

## Functions#

 sqrt(x) Compute the square root of x. log(x) Compute the natural logarithm of x. log2(x) Compute the logarithm base 2 of x. logn(n, x) Take log base n of x. log10(x) Compute the logarithm base 10 of x. power(x, p) Return x to the power p, (x**p). arccos(x) Compute the inverse cosine of x. arcsin(x) Compute the inverse sine of x. arctanh(x) Compute the inverse hyperbolic tangent of x.