# complex.h

## Overview

Related Modules:

MATH

Description:

Declares functions to perform operations on complex numbers.

You can use the functions provided in this file to perform operations on complex numbers during development. The functions include complex trigonometric, inverse trigonometric, hyperbolic, inverse hyperbolic, exponential, and logarithmic functions, and the functions to obtain the real and imaginary parts of a complex number.

Since:

1.0

Version:

1.0

## Macros

Macro Name and Value

Description

complex   _Complex

Indicates the type of a complex number.

## Functions

Function Name

Description

cacos (double complex z)

double complex

Calculates the arc cosine of the complex number z.

cacosf (float complex z)

float complex

Calculates the arc cosine of the complex number z.

cacosl (long double complex z)

long double complex

Calculates the arc cosine of the complex number z.

casin (double complex z)

double complex

Calculates the arc sine of the complex number z.

casinf (float complex z)

float complex

Calculates the arc sine of the complex number z.

casinl (long double complex z)

long double complex

Calculates the arc sine of the complex number z.

catan (double complex z)

double complex

Calculates the arc tangent of the complex number z.

catanf (float complex z)

float complex

Calculates the arc tangent of the complex number z.

catanl (long double complex z)

long double complex

Calculates the arc tangent of the complex number z.

ccos (double complex z)

double complex

Calculates the cosine of the complex number z.

ccosf (float complex z)

float complex

Calculates the cosine of the complex number z.

ccosl (long double complex z)

long double complex

Calculates the cosine of the complex number z.

csin (double complex z)

double complex

Calculates the sine of the complex number z.

csinf (float complex z)

float complex

Calculates the sine of the complex number z.

csinl (long double complex z)

long double complex

Calculates the sine of the complex number z.

ctan (double complex z)

double complex

Calculates the tangent of the complex number z.

ctanf (float complex z)

float complex

Calculates the tangent of the complex number z.

ctanl (long double complex z)

long double complex

Calculates the tangent of the complex number z.

cacosh (double complex z)

double complex

Calculates the inverse hyperbolic cosine of the complex number z.

cacoshf (float complex z)

float complex

Calculates the inverse hyperbolic cosine of the complex number z.

cacoshl (long double complex z)

long double complex

Calculates the inverse hyperbolic cosine of the complex number z.

casinh (double complex z)

double complex

Calculates the inverse hyperbolic sine of the complex number z.

casinhf (float complex z)

float complex

Calculates the inverse hyperbolic sine of the complex number z.

casinhl (long double complex z)

long double complex

Calculates the inverse hyperbolic sine of the complex number z.

catanh (double complex z)

double complex

Calculates the inverse hyperbolic tangent of the complex number z.

catanhf (float complex z)

float complex

Calculates the inverse hyperbolic tangent of the complex number z.

catanhl (long double complex z)

long double complex

Calculates the inverse hyperbolic tangent of the complex number z.

ccosh (double complex z)

double complex

Calculates the hyperbolic cosine of the complex number z.

ccoshf (float complex z)

float complex

Calculates the hyperbolic cosine of the complex number z.

ccoshl (long double complex z)

long double complex

Calculates the hyperbolic cosine of the complex number z.

csinh (double complex z)

double complex

Calculates the hyperbolic sine of the complex number z.

csinhf (float complex z)

float complex

Calculates the hyperbolic sine of the complex number z.

csinhl (long double complex z)

long double complex

Calculates the hyperbolic sine of the complex number z.

ctanh (double complex z)

double complex

Calculates the hyperbolic tangent of the complex number z.

ctanhf (float complex z)

float complex

Calculates the hyperbolic tangent of the complex number z.

ctanhl (long double complex z)

long double complex

Calculates the hyperbolic tangent of the complex number z.

cexp (double complex z)

double complex

Calculates the base-e exponential of the complex number z.

cexpf (float complex z)

float complex

Calculates the base-e exponential of the complex number z.

cexpl (long double complex z)

long double complex

Calculates the base-e exponential of the complex number z.

clog (double complex z)

double complex

Calculates the natural (base-e) logarithm of the complex number z.

clogf (float complex z)

float complex

Calculates the natural (base-e) logarithm of the complex number z.

clogl (long double complex z)

long double complex

Calculates the natural (base-e) logarithm of the complex number z.

cabs (double complex z)

double

Calculates the absolute value of the complex number z.

cabsf (float complex z)

float

Calculates the absolute value of the complex number z.

cabsl (long double complex z)

long double

Calculates the absolute value of the complex number z.

cpow (double complex x, double complex z)

double complex

Calculates the value of x raised to the z power.

cpowf (float complex x, float complex z)

float complex

Calculates the value of x raised to the z power.

cpowl (long double complex x, long double complex z)

long double complex

Calculates the value of x raised to the z power.

csqrt (double complex z)

double complex

Calculates the square root of the complex number z.

csqrtf (float complex z)

float complex

Calculates the square root of the complex number z.

csqrtl (long double complex z)

long double complex

Calculates the square root of the complex number z.

carg (double complex z)

double

Calculates the phase angle of the complex number z.

cargf (float complex z)

float

Calculates the phase angle of the complex number z.

cargl (long double complex z)

long double

Calculates the phase angle of the complex number z.

cimag (double complex z)

double

Calculates the imaginary part of the complex number z.

cimagf (float complex z)

float

Calculates the imaginary part of the complex number z.

cimagl (long double complex z)

long double

Calculates the imaginary part of the complex number z.

conj (double complex z)

double complex

Calculates the conjugate of the complex number z.

conjf (float complex z)

float complex

Calculates the conjugate of the complex number z.

conjl (long double complex z)

long double complex

Calculates the conjugate of the complex number z.

cproj (double complex z)

double complex

Calculates the projection of the complex number z onto the Riemann sphere.

cprojf (float complex z)

float complex

Calculates the projection of the complex number z onto the Riemann sphere.

cprojl (long double complex z)

long double complex

Calculates the projection of the complex number z onto the Riemann sphere.

creal (double complex z)

double

Calculates the real part of the complex number z.

crealf (float complex z)

float

Calculates the real part of the complex number z.

creall (long double complex z)

long double

Calculates the real part of the complex number z.