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clog(3) [redhat man page]

CLOG(3)                                                      Linux Programmer's Manual                                                     CLOG(3)

NAME
clog, clogf, clogl - natural logarithm of a complex number SYNOPSIS
#include <complex.h> double complex clog(double complex z); float complex clogf(float complex z); long double complex clogl(long double complex z); Link with -lm. DESCRIPTION
These functions calculate the complex natural logarithm of z, with a branch cut along the negative real axis. The logarithm clog() is the inverse function of the exponential cexp(3). Thus, if y = clog(z), then z = cexp(y). The imaginary part of y is chosen in the interval [-pi,pi]. One has: clog(z) = log(cabs(z)) + I * carg(z) Note that z close to zero will cause an overflow. VERSIONS
These functions first appeared in glibc in version 2.1. ATTRIBUTES
For an explanation of the terms used in this section, see attributes(7). +-------------------------+---------------+---------+ |Interface | Attribute | Value | +-------------------------+---------------+---------+ |clog(), clogf(), clogl() | Thread safety | MT-Safe | +-------------------------+---------------+---------+ CONFORMING TO
C99, POSIX.1-2001, POSIX.1-2008. SEE ALSO
cabs(3), cexp(3), clog10(3), clog2(3), complex(7) COLOPHON
This page is part of release 4.15 of the Linux man-pages project. A description of the project, information about reporting bugs, and the latest version of this page, can be found at https://www.kernel.org/doc/man-pages/. 2017-09-15 CLOG(3)

Check Out this Related Man Page

CATAN(3)						     Linux Programmer's Manual							  CATAN(3)

NAME
catan, catanf, catanl - complex arc tangents SYNOPSIS
#include <complex.h> double complex catan(double complex z); float complex catanf(float complex z); long double complex catanl(long double complex z); Link with -lm. DESCRIPTION
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]. One has: catan(z) = (clog(1 + i * z) - clog(1 - i * z)) / (2 * i) VERSIONS
These functions first appeared in glibc in version 2.1. ATTRIBUTES
For an explanation of the terms used in this section, see attributes(7). +----------------------------+---------------+---------+ |Interface | Attribute | Value | +----------------------------+---------------+---------+ |catan(), catanf(), catanl() | Thread safety | MT-Safe | +----------------------------+---------------+---------+ CONFORMING TO
C99, POSIX.1-2001, POSIX.1-2008. EXAMPLE
/* 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; double complex i = I; if (argc != 3) { fprintf(stderr, "Usage: %s <real> <imag> ", argv[0]); exit(EXIT_FAILURE); } z = atof(argv[1]) + atof(argv[2]) * I; c = catan(z); printf("catan() = %6.3f %6.3f*i ", creal(c), cimag(c)); f = (clog(1 + i * z) - clog(1 - i * z)) / (2 * i); printf("formula = %6.3f %6.3f*i ", creal(f2), cimag(f2)); exit(EXIT_SUCCESS); } SEE ALSO
ccos(3), clog(3), ctan(3), complex(7) COLOPHON
This page is part of release 4.15 of the Linux man-pages project. A description of the project, information about reporting bugs, and the latest version of this page, can be found at https://www.kernel.org/doc/man-pages/. 2015-04-19 CATAN(3)

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