std::log10(std::complex)

 

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std::complex

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complex::complex complex::operator= complex::real complex::imag	complex::operator+=complex::operator-=complex::operator*=complex::operator/=
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operator+operator- operator+operator-operator*operator/ operator==operator!= (until C++20)   operator<<operator>> get(std::complex) (C++26)	real imag abs arg norm conj proj (C++11) polar operator""ioperator""ifoperator""il (C++14)(C++14)(C++14)
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log   log10   exp
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sinh   cosh tanh asinh (C++11) acosh (C++11) atanh (C++11)
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tuple_size<std::complex> (C++26)
tuple_element<std::complex> (C++26)

 

Defined in header <complex>
template<class T > std::complex<T> log10(conststd::complex<T>& z );

Computes complex common (base 10) logarithm of a complex value z with a branch cut along the negative real axis.

The behavior of this function is equivalent to std::log(z) / std::log(T(10)).

Parameters

z

-

complex value

Return value

Complex common logarithm of z.

Example

Run this code

#include <cmath>#include <complex>#include <iostream>   int main(){std::complex<double> z(0.0, 1.0);// r = 0, θ = pi / 2std::cout<<"2 * log10"<< z <<" = "<<2.0*std::log10(z)<<'\n';   std::complex<double> z2(sqrt(2.0)/2, sqrt(2.0)/2);// r = 1, θ = pi / 4std::cout<<"4 * log10"<< z2 <<" = "<<4.0*std::log10(z2)<<'\n';   std::complex<double> z3(-100.0, 0.0);// r = 100, θ = pistd::cout<<"log10"<< z3 <<" = "<<std::log10(z3)<<'\n';std::complex<double> z4(-100.0, -0.0);// the other side of the cutstd::cout<<"log10"<< z4 <<" = "<<std::log10(z4)<<" ""(the other side of the cut)\n""(note: pi / log(10) = "<<std::acos(-1.0)/std::log(10.0)<<")\n";}

Possible output:

2 * log10(0,1) = (0,1.36438) 4 * log10(0.707107,0.707107) = (0,1.36438) log10(-100,0) = (2,1.36438) log10(-100,-0) = (2,-1.36438) (the other side of the cut) (note: pi / log(10) = 1.36438)

See also

log(std::complex)	complex natural logarithm with the branch cuts along the negative real axis (function template)
log10log10flog10l (C++11)(C++11)	computes common (base 10) logarithm (\({\small\log_{10}{x}}\)log10(x)) (function)
log10(std::valarray)	applies the function std::log10 to each element of valarray (function template)