# Manual Pages  — COMPLEX

### NAME

complex – complex arithmetic

### LIBRARY

Math Library (libm, -lm)

### SYNOPSIS

`#include <complex.h>`

### DESCRIPTION

These functions support complex arithmetic in the C math library.

### LIST OF FUNCTIONS

Each of the following double complex functions has a float complex counterpart with an ‘f’ appended to the name and a long double complex counterpart with an ‘l’ appended. As an example, the float complex and long double complex counterparts of double cabs(double complex z) are float cabsf(float complex z) and long double cabsl(long double complex z), respectively.

#### Absolute-value Functions

Name
 Description cabs complex absolute value (i.e., norm, modulus, magnitude) csqrt complex square root

#### Exponential Function

Name
 Description cexp exponential base e

#### Natural logarithm Function

Name
 Description clog natural logarithm

#### Manipulation Functions

Name
 Description carg compute the argument (i.e., phase angle) cimag compute the imaginary part conj compute the complex conjugate cproj compute projection onto Riemann sphere creal compute the real part

#### Trigonometric and Hyperbolic Functions

Name
 Description cacos arc cosine cacosh arc hyperbolic cosine casin arc sine casinh arc hyperbolic sine catan arc tangent catanh arc hyperbolic tangent ccos cosine ccosh hyperbolic cosine cpow power function csin sine csinh hyperbolic sine ctan tangent ctanh hyperbolic tangent