# Complex Functions

The Intel Math library supports the following complex functions:

## CABS

Description: The cabs function returns the complex absolute value of z.

Calling interface:
double cabs(double _Complex z);
long double cabsl(long double _Complex z);
float cabsf(float _Complex z);

## CACOS

Description: The cacos function returns the complex inverse cosine of z.

Calling interface:
double _Complex cacos(double _Complex z);
long double _Complex cacosl(long double _Complex z);
float _Complex cacosf(float _Complex z);

## CACOSH

Description: The cacosh function returns the complex inverse hyperbolic cosine of z.

Calling interface:
double _Complex cacosh(double _Complex z);
long double _Complex cacoshl(long double _Complex z);
float _Complex cacoshf(float _Complex z);

## CARG

Description: The carg function returns the value of the argument in the interval [-pi, +pi].

Calling interface:
double carg(double _Complex z);
long double cargl(long double _Complex z);
float cargf(float _Complex z);

## CASIN

Description: The casin function returns the complex inverse sine of z.

Calling interface:
double _Complex casin(double _Complex z);
long double _Complex casinl(long double _Complex z);
float _Complex casinf(float _Complex z);

## CASINH

Description: The casinh function returns the complex inverse hyperbolic sine of z.

Calling interface:
double _Complex casinh(double _Complex z);
long double _Complex casinhl(long double _Complex z);
float _Complex casinhf(float _Complex z);

## CATAN

Description: The catan function returns the complex inverse tangent of z.

Calling interface:
double _Complex catan(double _Complex z);
long double _Complex catanl(long double _Complex z);
float _Complex catanf(float _Complex z);

## CATANH

Description: The catanh function returns the complex inverse hyperbolic tangent of z.

Calling interface:
double _Complex catanh(double _Complex z);
long double _Complex catanhl(long double _Complex z);
float _Complex catanhf(float _Complex z);

## CCOS

Description: The ccos function returns the complex cosine of z.

Calling interface:
double _Complex ccos(double _Complex z);
long double _Complex ccosl(long double _Complex z);
float _Complex ccosf(float _Complex z);

## CCOSH

Description: The ccosh function returns the complex hyperbolic cosine of z.

Calling interface:
double _Complex ccosh(double _Complex z);
long double _Complex ccoshl(long double _Complex z);
float _Complex ccoshf(float _Complex z);

## CEXP

Description: The cexp function computes ez.

Calling interface:
double _Complex cexp(double _Complex z);
long double _Complex cexpl(long double _Complex z);
float _Complex cexpf(float _Complex z);

## CEXP2

Description: The cexp function computes 2z.

Calling interface:
double _Complex cexp2(double _Complex z);
long double _Complex cexp2l(long double _Complex z);
float _Complex cexp2f(float _Complex z);

## CEXP10

Description: The cexp10 function computes 10z.

Calling interface:
double _Complex cexp10(double _Complex z);
long double _Complex cexp10l(long double _Complex z);
float _Complex cexp10f(float _Complex z);

## CIMAG

Description: The cimag function returns the imaginary part value of z.

Calling interface:
double cimag(double _Complex z);
long double cimagl(long double _Complex z);
float cimagf(float _Complex z);

## CIS

Description: The cis function returns the cosine and sine (as a complex value) of z measured in radians.

Calling interface:
double _Complex cis(double z);
long double _Complex cisl(long double z);
float _Complex cisf(float z);

## CISD

Description: The cis function returns the cosine and sine (as a complex value) of z measured in degrees.

Calling interface:
double _Complex cis(double z);
long double _Complex cisl(long double z);
float _Complex cisf(float z);

## CLOG

Description: The clog function returns the complex natural logarithm of z.

Calling interface:
double _Complex clog(double _Complex z);
long double _Complex clogl(long double _Complex z);
float _Complex clogf(float _Complex z);

## CLOG2

Description: The clog2 function returns the complex logarithm base 2 of z.

Calling interface:
double _Complex clog2(double _Complex z);
long double _Complex clog2l(long double _Complex z);
float _Complex clog2f(float _Complex z);

## CLOG10

Description: The clog10 function returns the complex logarithm base 10 of z.

Calling interface:
double _Complex clog10(double _Complex z);
long double _Complex clog10l(long double _Complex z);
float _Complex clog10f(float _Complex z);

## CONJ

Description: The conj function returns the complex conjugate of z, by reversing the sign of its imaginary part.

Calling interface:
double _Complex conj(double _Complex z);
long double _Complex conjl(long double _Complex z);
float _Complex conjf(float _Complex z);

## CPOW

Description: The cpow function returns the complex power function, xy .

Calling interface:
double _Complex cpow(double _Complex x, double _Complex y);
long double _Complex cpowl(long double _Complex x, double _Complex y);
float _Complex cpowf(float _Complex x, float _Complex y);

## CPROJ

Description: The cproj function returns a projection of z onto the Riemann sphere.

Calling interface:
double _Complex cproj(double _Complex z);
long double _Complex cprojl(long double _Complex z);
float _Complex cprojf(float _Complex z);

## CREAL

Description: The creal function returns the real part value of z.

Calling interface:
double creal(double _Complex z);
long double creall(long double _Complex z);
float crealf(float _Complex z);

## CSIN

Description: The csin function returns the complex sine of z.

Calling interface:
double _Complex csin(double _Complex z);
long double _Complex csinl(long double _Complex z);
float _Complex csinf(float _Complex z);

## CSINH

Description: The csinh function returns the complex hyperbolic sine of z.

Calling interface:
double _Complex csinh(double _Complex z);
long double _Complex csinhl(long double _Complex z);
float _Complex csinhf(float _Complex z);

## CSQRT

Description: The csqrt function returns the complex square root of z.

Calling interface:
double _Complex csqrt(double _Complex z);
long double _Complex csqrtl(long double _Complex z);
float _Complex csqrtf(float _Complex z);

## CTAN

Description: The ctan function returns the complex tangent of z.

Calling interface:
double _Complex ctan(double _Complex z);
long double _Complex ctanl(long double _Complex z);
float _Complex ctanf(float _Complex z);

## CTANH

Description: The ctanh function returns the complex hyperbolic tangent of z.

Calling interface:
double _Complex ctanh(double _Complex z);
long double _Complex ctanhl(long double _Complex z);
float _Complex ctanhf(float _Complex z);