Name
cacos, cacosf, cacosl - complex arc cosineLibrary
Math library ( libm ", " -lm )Synopsis
#include <complex.h> double complex cacos(double complex z );
float complex cacosf(float complex z );
long double complex cacosl(long double complex z );
Description
These functions calculate the complex arc cosine ofz
. If y\ =\ cacos(z), then z\ =\ ccos(y). The real part of y is chosen in the interval [0,pi]. One has:
cacos(z) = -i * clog(z + i * csqrt(1 - z * z))
Attributes
For an explanation of the terms used in this section, see attributes(7).Interface | Attribute | Value |
T} | Thread safety | MT-Safe |
Standards
C11, POSIX.1-2008.History
glibc 2.1. C99, POSIX.1-2001.Examples
/* Link with "-lm" */ #include <complex.h> #include <stdio.h> #include <stdlib.h> #include <unistd.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>\en", argv[0]); exit(EXIT_FAILURE); } z = atof(argv[1]) + atof(argv[2]) * I; c = cacos(z); printf("cacos() = %6.3f %6.3f*i\en", creal(c), cimag(c)); f = -i * clog(z + i * csqrt(1 - z * z)); printf("formula = %6.3f %6.3f*i\en", creal(f), cimag(f)); exit(EXIT_SUCCESS); }