Standard library header <complex.h> (C99)

 

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Error handling

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Input/output support

Localization support

Concurrency support (C11)

Technical Specifications

Symbol index

 

Standard Library headers

<assert.h> <complex.h> (C99) <ctype.h> <errno.h> <fenv.h> (C99) <float.h> <inttypes.h> (C99)     <iso646.h> (C95) <limits.h> <locale.h> <math.h>

<setjmp.h> <signal.h> <stdalign.h> (C11*) <stdarg.h> <stdatomic.h> (C11)     <stdbit.h> (C23) <stdbool.h> (C99*) <stdckdint.h> (C23) <stddef.h> <stdint.h> (C99) <stdio.h>

<stdlib.h> <stdmchar.h> (C29) <stdnoreturn.h> (C11*) <string.h> <tgmath.h> (C99) <threads.h> (C11) <time.h> <uchar.h> (C11) <wchar.h> (C95) <wctype.h> (C95)

 

This header is part of the complex number arithmetic library.

Types
imaginary (C99)	imaginary type macro (keyword macro)
complex (C99)	complex type macro (keyword macro)
The imaginary constant
_Imaginary_I (C99)	the imaginary unit constant i (macro constant)
_Complex_I (C99)	the complex unit constant i (macro constant)
I (C99)	the complex or imaginary unit constant i (macro constant)
Manipulation
CMPLXCMPLXFCMPLXL (C11)(C11)(C11)	constructs a complex number from real and imaginary parts (function macro)
crealcrealfcreall (C99)(C99)(C99)	computes the real part of a complex number (function)
cimagcimagfcimagl (C99)(C99)(C99)	computes the imaginary part a complex number (function)
cabscabsfcabsl (C99)(C99)(C99)	computes the magnitude of a complex number (function)
cargcargfcargl (C99)(C99)(C99)	computes the phase angle of a complex number (function)
conjconjfconjl (C99)(C99)(C99)	computes the complex conjugate (function)
cprojcprojfcprojl (C99)(C99)(C99)	computes the projection on Riemann sphere (function)
Exponential functions
cexpcexpfcexpl (C99)(C99)(C99)	computes the complex base-e exponential (function)
clogclogfclogl (C99)(C99)(C99)	computes the complex natural logarithm (function)
Power functions
cpowcpowfcpowl (C99)(C99)(C99)	computes the complex power function (function)
csqrtcsqrtfcsqrtl (C99)(C99)(C99)	computes the complex square root (function)
Trigonometric functions
csincsinfcsinl (C99)(C99)(C99)	computes the complex sine (function)
ccosccosfccosl (C99)(C99)(C99)	computes the complex cosine (function)
ctanctanfctanl (C99)(C99)(C99)	computes the complex tangent (function)
casincasinfcasinl (C99)(C99)(C99)	computes the complex arc sine (function)
cacoscacosfcacosl (C99)(C99)(C99)	computes the complex arc cosine (function)
catancatanfcatanl (C99)(C99)(C99)	computes the complex arc tangent (function)
Hyperbolic functions
csinhcsinhfcsinhl (C99)(C99)(C99)	computes the complex hyperbolic sine (function)
ccoshccoshfccoshl (C99)(C99)(C99)	computes the complex hyperbolic cosine (function)
ctanhctanhfctanhl (C99)(C99)(C99)	computes the complex hyperbolic tangent (function)
casinhcasinhfcasinhl (C99)(C99)(C99)	computes the complex arc hyperbolic sine (function)
cacoshcacoshfcacoshl (C99)(C99)(C99)	computes the complex arc hyperbolic cosine (function)
catanhcatanhfcatanhl (C99)(C99)(C99)	computes the complex arc hyperbolic tangent (function)

Synopsis

#define __STDC_VERSION_COMPLEX_H__ 202311L
 
#define complex       _Complex
#define imaginary     /* implementation-defined */
#define _Imaginary_I  /* implementation-defined */
#define _Complex_I    /* implementation-defined */
#define I             _Complex_I
 
#pragma STDC CX_LIMITED_RANGE /*on-off-switch*/
 
double complex cacos(double complex z);
float complex cacosf(float complex z);
long double complex cacosl(long double complex z);
double complex casin(double complex z);
float complex casinf(float complex z);
long double complex casinl(long double complex z);
double complex catan(double complex z);
float complex catanf(float complex z);
long double complex catanl(long double complex z);
double complex ccos(double complex z);
float complex ccosf(float complex z);
long double complex ccosl(long double complex z);
double complex csin(double complex z);
float complex csinf(float complex z);
long double complex csinl(long double complex z);
double complex ctan(double complex z);
float complex ctanf(float complex z);
long double complex ctanl(long double complex z);
double complex cacosh(double complex z);
float complex cacoshf(float complex z);
long double complex cacoshl(long double complex z);
double complex casinh(double complex z);
float complex casinhf(float complex z);
long double complex casinhl(long double complex z);
double complex catanh(double complex z);
float complex catanhf(float complex z);
long double complex catanhl(long double complex z);
double complex ccosh(double complex z);
float complex ccoshf(float complex z);
long double complex ccoshl(long double complex z);
double complex csinh(double complex z);
float complex csinhf(float complex z);
long double complex csinhl(long double complex z);
double complex ctanh(double complex z);
float complex ctanhf(float complex z);
long double complex ctanhl(long double complex z);
double complex cexp(double complex z);
float complex cexpf(float complex z);
long double complex cexpl(long double complex z);
double complex clog(double complex z);
float complex clogf(float complex z);
long double complex clogl(long double complex z);
double cabs(double complex z);
float cabsf(float complex z);
long double cabsl(long double complex z);
double complex cpow(double complex x, double complex y);
float complex cpowf(float complex x, float complex y);
long double complex cpowl(long double complex x, long double complex y);
double complex csqrt(double complex z);
float complex csqrtf(float complex z);
long double complex csqrtl(long double complex z);
double carg(double complex z);
float cargf(float complex z);
long double cargl(long double complex z);
double cimag(double complex z);
float cimagf(float complex z);
long double cimagl(long double complex z);
double complex CMPLX(double x, double y);
float complex CMPLXF(float x, float y);
long double complex CMPLXL(long double x, long double y);
double complex conj(double complex z);
float complex conjf(float complex z);
long double complex conjl(long double complex z);
double complex cproj(double complex z);
float complex cprojf(float complex z);
long double complex cprojl(long double complex z);
double creal(double complex z);
float crealf(float complex z);
long double creall(long double complex z);
 
// Only if the implementation defines __STDC_IEC_60559_TYPES__ and additionally the user
// code defines __STDC_WANT_IEC_60559_TYPES_EXT__ before any inclusion of <complex.h>:
#ifdef __STDC_WANT_IEC_60559_TYPES_EXT__
/*_FloatN*/ complex /*cacosfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ complex /*cacosfNx*/(/*_FloatNx*/ complex z);
/*_FloatN*/ complex /*casinfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ complex /*casinfNx*/(/*_FloatNx*/ complex z);
/*_FloatN*/ complex /*catanfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ complex /*catanfNx*/(/*_FloatNx*/ complex z);
/*_FloatN*/ complex /*ccosfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ complex /*ccosfNx*/(/*_FloatNx*/ complex z);
/*_FloatN*/ complex /*csinfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ complex /*csinfNx*/(/*_FloatNx*/ complex z);
/*_FloatN*/ complex /*ctanfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ complex /*ctanfNx*/(/*_FloatNx*/ complex z);
/*_FloatN*/ complex /*cacoshfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ complex /*cacoshfNx*/( /*_FloatNx*/ complex z);
/*_FloatN*/ complex /*casinhfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ complex /*casinhfNx*/( /*_FloatNx*/ complex z);
/*_FloatN*/ complex /*catanhfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ complex /*catanhfNx*/( /*_FloatNx*/ complex z);
/*_FloatN*/ complex /*ccoshfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ complex /*ccoshfNx*/(/*_FloatNx*/ complex z);
/*_FloatN*/ complex /*csinhfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ complex /*csinhfNx*/(/*_FloatNx*/ complex z);
/*_FloatN*/ complex /*ctanhfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ complex /*ctanhfNx*/(/*_FloatNx*/ complex z);
/*_FloatN*/ complex /*cexpfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ complex /*cexpfNx*/(/*_FloatNx*/ complex z);
/*_FloatN*/ complex /*clogfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ complex /*clogfNx*/(/*_FloatNx*/ complex z);
/*_FloatN*/ /*cabsfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ /*cabsfNx*/(/*_FloatNx*/ complex z);
/*_FloatN*/ complex /*cpowfN*/(/*_FloatN*/ complex x, /*_FloatN*/ complex y);
/*_FloatNx*/ complex /*cpowfNx*/(/*_FloatNx*/ complex x, /*_FloatNx*/ complex y);
/*_FloatN*/ complex /*csqrtfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ complex /*csqrtfNx*/(/*_FloatNx*/ complex z);
/*_FloatN*/ /*cargfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ /*cargfNx*/(/*_FloatNx*/ complex z);
/*_FloatN*/ /*cimagfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ /*cimagfNx*/(/*_FloatNx*/ complex z);
/*_FloatN*/ complex /*CMPLXFN*/(/*_FloatN*/ x, /*_FloatN*/ y);
/*_FloatNx*/ complex /*CMPLXFNX*/(/*_FloatNx*/ x, /*_FloatNx*/ y);
/*_FloatN*/ complex /*conjfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ complex /*conjfNx*/(/*_FloatNx*/ complex z);
/*_FloatN*/ complex /*cprojfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ complex /*cprojfNx*/(/*_FloatNx*/ complex z);
/*_FloatN*/ /*crealfN*/(/*_FloatN*/ complex z);
/*_FloatNx*/ /*crealfNx*/(/*_FloatNx*/ complex z);
#endif