catan(3) Library Functions Manual catan(3) catan, catanf, catanl - Math library (libm, -lm) #include double complex catan(double complex z); float complex catanf(float complex z); long double complex catanl(long double complex z); These functions calculate 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]. : catan(z) = (clog(1 + i * z) - clog(1 - i * z)) / (2 * i) attributes(7). +----------------------------+----------------------------------------------------------+--------------------------+ | | | | +----------------------------+----------------------------------------------------------+--------------------------+ |catan(), catanf(), catanl() | | MT-Safe | +----------------------------+----------------------------------------------------------+--------------------------+ C11, POSIX.1-2008. glibc 2.1. C99, POSIX.1-2001. /* Link with "-lm" */ #include #include #include #include int main(int argc, char *argv[]) { double complex z, c, f; double complex i = I; if (argc != 3) { fprintf(stderr, "Usage: %s \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(f), cimag(f)); exit(EXIT_SUCCESS); } ccos(3), clog(3), ctan(3), complex(7) () Azamat Hackimov , Dmitriy S. Seregin , Dmitry Bolkhovskikh , Katrin Kutepova , Yuri Kozlov ; GNU (GNU General Public License - GPL, 3 ) , - . - , , () () () <>. Linux 6.9.1 15 2024 . catan(3)