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    Command:

    catan

    
    
    

    SYNOPSIS

           #include <complex.h>
    
           double complex catan(double complex z);
           float complex catanf(float complex z);
           long double complex catanl(long double complex z);
    
           Link with -lm.
    
    
    

    DESCRIPTION

           The  catan()  function  calculates  the  complex  arc tangent of z.  If
           y = catan(z), then z = ctan(y).  The real part of y is  chosen  in  the
           interval [-pi/2,pi/2].
    
           One has:
    
               catan(z) = (clog(1 + i * z) - clog(1 - i * z)) / (2 * i)
    
    
    

    VERSIONS

           These functions first appeared in glibc in version 2.1.
    
    
    

    CONFORMING TO

           C99.
    
    
    

    EXAMPLE

           /* Link with "-lm" */
    
           #include <complex.h>
           #include <stdlib.h>
           #include <unistd.h>
           #include <stdio.h>
    
           int
           main(int argc, char *argv[])
           {
               double complex z, c, f;
               double complex i = I;
    
               if (argc != 3) {
                   fprintf(stderr, "Usage: %s <real> <imag>\n", argv[0]);
                   exit(EXIT_FAILURE);
               }
    
               z = atof(argv[1]) + atof(argv[2]) * I;
    
               c = catan(z);
               printf("catan() = %6.3f %6.3f*i\n", creal(c), cimag(c));
    
               f = (clog(1 + i * z) - clog(1 - i * z)) / (2 * i);
               printf("formula = %6.3f %6.3f*i\n", creal(f2), cimag(f2));
    
               exit(EXIT_SUCCESS);
    
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