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Showing content from https://www.tutorialspoint.com/cpp_standard_library/cpp_complex_log.htm below:

C++ Complex Log Function

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

he 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.

Following is the declaration for std::log.

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

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

x − It is a complex value.

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

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complex.htm

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