cacos, cacosf, cacosl - complex arc cosine
Contents
Attributes
For an explanation of the terms used in this section, see attributes(7).
┌─────────────────────────────────────────────────────────────────────────────┬───────────────┬─────────┐
│ Interface │ Attribute │ Value │
├─────────────────────────────────────────────────────────────────────────────┼───────────────┼─────────┤
│ cacos(), cacosf(), cacosl() │ Thread safety │ MT-Safe │
└─────────────────────────────────────────────────────────────────────────────┴───────────────┴─────────┘
Description
These functions calculate the complex arc cosine of z. 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))
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>\n", argv[0]);
exit(EXIT_FAILURE);
}
z = atof(argv[1]) + atof(argv[2]) * I;
c = cacos(z);
printf("cacos() = %6.3f %6.3f*i\n", creal(c), cimag(c));
f = -i * clog(z + i * csqrt(1 - z * z));
printf("formula = %6.3f %6.3f*i\n", creal(f), cimag(f));
exit(EXIT_SUCCESS);
}
History
glibc 2.1. C99, POSIX.1-2001.
Library
Math library (libm, -lm)
Name
cacos, cacosf, cacosl - complex arc cosine
See Also
ccos(3), clog(3), complex(7) Linux man-pages 6.9.1 2024-06-15 cacos(3)
Standards
C11, POSIX.1-2008.
Synopsis
#include<complex.h>doublecomplexcacos(doublecomplexz);floatcomplexcacosf(floatcomplexz);longdoublecomplexcacosl(longdoublecomplexz);