Contents

# Complex Functions

Many routines in the Intel® Math Library are more optimized for Intel® microprocessors than for non-Intel microprocessors.
The
mathimf.h
header file includes prototypes for Intel® Math Library 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 returns
e
z
(
e
raised to the power
z
).
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 returns
2
z
(2 raised to the power
z
).
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 returns 10
z
(10 raised to the power
z
).
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
Calling interface:
double _Complex cis(double x);
long double _Complex cisl(long double z);
float _Complex cisf(float z);

## cisd

Description:
The
cisd
function returns the cosine and sine (as a complex value) of
z
measured in degrees.
Calling interface:
double _Complex cisd(double x);
long double _Complex cisdl(long double z);
float _Complex cisdf(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,
x
y
.
Calling interface:
double _Complex cpow(double _Complex x, double _Complex y);
long double _Complex cpowl(long double _Complex x, long 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 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);

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