std::log10(std::complex)
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std::complex
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Defined in header
<complex>
template< class T >
std::complex <T> log10( const std::complex <T>& z );
std::complex <T> log10( const std::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)).
Contents
[edit] Parameters
z
-
complex value
[edit] Return value
Complex common logarithm of z.
[edit] Example
Run this code
#include <cmath> #include <complex> #include <iostream> int main() { std::complex <double> z(0.0, 1.0); // r = 0, θ = pi / 2 std::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 / 4 std::cout << "4 * log10" << z2 << " = " << 4.0 * std::log10 (z2) << '\n'; std::complex <double> z3(-100.0, 0.0); // r = 100, θ = pi std::cout << "log10" << z3 << " = " << std::log10 (z3) << '\n'; std::complex <double> z4(-100.0, -0.0); // the other side of the cut std::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)
[edit] See also
complex natural logarithm with the branch cuts along the negative real axis
(function template) [edit]
(function template) [edit]
(C++11)(C++11)
(function) [edit]