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Showing content from https://cplusplus.com/reference/complex/log/ below:

function template

<complex>

std::log 
template<class T> complex<T> log (const complex<T>& x);

Natural logarithm of complex

Returns the natural (base-e) logarithm of the complex number x, using the principal branch, whose cuts are along the negative real axis.

The value computed is bounded along the imaginary axis between [-i*PI,i*PI].


When x is a negative real number, log(x).imag() is PI.

This is the complex version of the log function (defined in <cmath>).



Parameters
x
Complex value.

Return value Natural logarithm of x.

See also
log10
Common logarithm of complex (function template)
exp
Exponential of complex (function template)
pow
Power of complex (function template)
log (cmath)
Compute natural logarithm (function)

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