| Defined in header <complex> | ||||
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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(10).
Parameters
| z | - | complex value |
Return value
Complex common logarithm of z.
Example
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 | #include <iostream>#include <cmath>#include <complex> int main(){ std::complex<double> z(0, 1); // // r = 0, = pi/2 std::cout << "2*log10" << z << " = " << 2.*std::log10(z) << '\n'; std::complex<double> z2(sqrt(2)/2, sqrt(2)/2); // r = 1, # = pi/4 std::cout << "4*log10" << z2 << " = " << 4.*std::log10(z2) << '\n'; std::complex<double> z3(-100, 0); // r = 100, # = pi std::cout << "log10" << z3 << " = " << std::log10(z3) << '\n'; std::complex<double> z4(-100, -0.0); // the other side of the cut std::cout << "log10" << z4 << " (the other side of the cut) = " << std::log10(z4) << '\n' << "(note: pi/log(10) = " << acos(-1)/log(10) << ")\n";} |
Output:
1 2 3 4 5 | 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) (the other side of the cut) = (2,-1.36438)(note: pi/log(10) = 1.36438) |
See also
| complex natural logarithm with the branch cuts along the negative real axis (function template) | |
| computes common (base 10) logarithm (log10(x)) (function) | |
applies the function std::log10 to each element of valarray (function template) |
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