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   cacoshl    ( 3 )

комплексный дуговый гиперболический косинус (complex arc hyperbolic cosine)

Имя (Name)

cacosh, cacoshf, cacoshl - complex arc hyperbolic cosine

Синопсис (Synopsis)

#include <complex.h>

double complex cacosh(double complex z); float complex cacoshf(float complex z); long double complex cacoshl(long double complex z);

Link with -lm.


Описание (Description)

These functions calculate the complex arc hyperbolic cosine of z.
       If y = cacosh(z), then z = ccosh(y).  The imaginary part of y is
       chosen in the interval [-pi,pi].  The real part of y is chosen
       nonnegative.

One has:

cacosh(z) = 2 * clog(csqrt((z + 1) / 2) + csqrt((z - 1) / 2))


Версии (Versions)

These functions first appeared in glibc in version 2.1.

Атрибуты (Attributes)

For an explanation of the terms used in this section, see
       attributes(7).

┌──────────────────────────────────────┬───────────────┬─────────┐ │Interface Attribute Value │ ├──────────────────────────────────────┼───────────────┼─────────┤ │cacosh(), cacoshf(), cacoshl() │ Thread safety │ MT-Safe │ └──────────────────────────────────────┴───────────────┴─────────┘


Стандарты (Conforming to)

C99, POSIX.1-2001, POSIX.1-2008.

Примеры (Examples)

/* 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;

if (argc != 3) { fprintf(stderr, "Usage: %s <real> <imag>\n", argv[0]); exit(EXIT_FAILURE); }

z = atof(argv[1]) + atof(argv[2]) * I;

c = cacosh(z); printf("cacosh() = %6.3f %6.3f*i\n", creal(c), cimag(c));

f = 2 * clog(csqrt((z + 1)/2) + csqrt((z - 1)/2)); printf("formula = %6.3f %6.3f*i\n", creal(f2), cimag(f2));

exit(EXIT_SUCCESS); }


Смотри также (See also)

acosh(3), cabs(3), ccosh(3), cimag(3), complex(7)