complex cpow()

[TimoVJL]

It's time to check complex functions, like cpow():

Code Select Expand

#include <stdio.h>
#include <complex.h>
// https://en.cppreference.com/w/c/numeric/complex/cpow
int main(void)
{   
    double complex z = cpow(1.0+2.0*I, 2);
    printf("(1+2i)^2 = %.1f%+.1fi\n", creal(z), cimag(z));

    double complex z2 = cpow(-1, 0.5);
    printf("(-1+0i)^0.5 = %.1f%+.1fi\n", creal(z2), cimag(z2));

    double complex z3 = cpow(conj(-1), 0.5); // other side of the cut
    printf("(-1-0i)^0.5 = %.1f%+.1fi\n", creal(z3), cimag(z3));

    double complex z4 = cpow(I, I); // i^i = exp(-pi/2)
    printf("i^i = %f%+fi\n", creal(z4), cimag(z4));
}

expected result:

Code Select Expand

(1+2i)^2 = -3.0+4.0i
(-1+0i)^0.5 = 0.0+1.0i
(-1-0i)^0.5 = 0.0-1.0i
i^i = 0.207880+0.000000i

Code Select Expand

#include <stdio.h>
#include <complex.h>

int main(void)
{
double complex base = -1.23;
for (double f = 1.7; f < 2.31; f += 0.1)
{
double complex exponent = f;
double complex result = cpow(base, exponent);
printf("-1.23^%.2f = %f %fi\n", f, creal(result), cimag(result));
}
return 0;
}


[Pelle]

It's time to check complex functions, like cpow():

Not really.

With C2X coming up in a few years, I much rather raise the minimum standard from C99, where complex is mandatory, to C11 where complex is optional - and then remove the support for complex. Few people need it, and it's extra work in the compiler (will often affect new optimizations and warnings, f.e.)