cacos(3) - BetterMan

cacos(3)

complex arc cosine

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Synopsis

#include <complex.h>
double complex cacos(double complex 
z
);
float complex cacosf(float complex 
z
);
long double complex cacosl(long double complex 
z
);

—

NAME

cacos, cacosf, cacosl - complex arc cosine

LIBRARY

Math library (libm, -lm)

SYNOPSIS

bash

#include <complex.h>

bash

double complex cacos(double complex \nz\n);\n
\nfloat complex cacosf(float complex \nz\n);\n
\nlong double complex cacosl(long double complex \nz\n);

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:

bash


\n
    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
cacos (), cacosf (), cacosl ()	Thread safety	MT-Safe

STANDARDS

C11, POSIX.1-2008.

HISTORY

glibc 2.1. C99, POSIX.1-2001.

EXAMPLES

bash

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