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Name

clog, clogf, clogl - natural logarithm of a complex number

Library

Math library ( libm ", " -lm )

Synopsis

#include <complex.h> 
double complex clog(double complex  z );
float complex clogf(float complex z );
long double complex clogl(long double complex z );

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.

Attributes

For an explanation of the terms used in this section, see attributes(7). allbox; lbx lb lb T{ clog()clogf()clogl()
InterfaceAttributeValue
T}Thread safetyMT-Safe

Standards

C11, POSIX.1-2008.

History

glibc 2.1. C99, POSIX.1-2001.

See Also

  1. cabs(3),
  2. cexp(3),
  3. clog10(3),
  4. clog2(3),
  5. complex(7)