Intel® oneAPI DPC++/C++ Compiler Developer Guide and Reference

ID 767253
Date 9/08/2022
Public

A newer version of this document is available. Customers should click here to go to the newest version.

Document Table of Contents

Complex Functions

Many routines in the Intel® oneAPI DPC++/C++ Compiler Math Library are more optimized for Intel® microprocessors than for non-Intel microprocessors.

The mathimf.h header file includes prototypes for Intel® oneAPI DPC++/C++ Compiler Math Library functions.

The 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 ez (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 2z (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 10z (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 measured in radians.

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, xy.

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);