Complex number arithmetic

 

C

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Complex number arithmetic

Types and the imaginary constant
complex Complex_I CMPLX	imaginary Imaginary_I I
Manipulation
cimag creal carg	conj cproj
Power and exponential functions
cexp clog	cpow csqrt
Trigonometric functions
ccos csin ctan	cacos casin catan
Hyperbolic functions
ccosh csinh ctanh	cacosh casinh catanh

 

The header <complex.h> defines macros and declares functions that support complex number arithmetic. Complex values are values of type double complex, float complex, long double complex,

If the macro constant __STDC_IEC_559_COMPLEX__(C99) is defined by the compiler, in addition to the complex types, the imaginary types are also supported: double imaginary, float imaginary, and long double imaginary. When a value of imaginary type is converted to a value of complex type, the resulting complex type has its real component set to zero. When a value of complex type is converted to a value of imaginary type, the real component is discarded.

Standard arithmetic operators +, -, *, / can be used with real, complex, and imaginary types in any combination.

If the macro constant __STDC_NO_COMPLEX__(C11) is defined by the compiler, the header <complex.h> and all of the names listed here are not provided.

If #pragma STDC CX_LIMITED_RANGE on is used, complex multiplication, division, and absolute value may use simplified mathematical formulas, despite the possibility of intermediate overflow.

Defined in header <complex.h>
Types
complex (C99)	complex type macro (macro constant)
Complex_I (C99)	the complex unit constant i (macro constant)
The imaginary constant
imaginary (C99)	imaginary type macro (macro constant)
Imaginary_I (C99)	the imaginary unit constant i (macro constant)
I (C99)	the complex or imaginary unit constant i (macro constant)
Manipulation
CMPLX CMPLXF CMPLXL (C11) (C11) (C11)	constructs a complex number from real and imaginary parts (function macro)
cimag cimagf cimagl (C99) (C99) (C99)	computes the imaginary part a complex number (function)
creal crealf creall (C99) (C99) (C99)	computes the real part of a complex number (function)
carg cargf cargl (C99) (C99) (C99)	computes the phase angle of a complex number (function)
conj conjf conjl (C99) (C99) (C99)	computes the complex conjugate (function)
cproj cprojf cprojl (C99) (C99) (C99)	computes the projection on Riemann sphere (function)
cabs cabsf cabsl (C99) (C99) (C99)	computes the magnitude of a complex number (function)
Exponential functinos
cexp cexpf cexpl (C99) (C99) (C99)	computes the complex base-e exponential (function)
clog clogf clogl (C99) (C99) (C99)	computes the complex natural logarithm (function)
Power functions
cpow cpowf cpowl (C99) (C99) (C99)	computes the complex power function (function)
csqrt csqrtf csqrtl (C99) (C99) (C99)	computes the complex square root (function)
Trigonometric functions
cacos cacosf cacosl (C99) (C99) (C99)	computes the complex arc cosine (function)
casin casinf casinl (C99) (C99) (C99)	computes the complex arc sine (function)
catan catanf catanl (C99) (C99) (C99)	computes the complex arc tangent (function)
ccos ccosf ccosl (C99) (C99) (C99)	computes the complex cosine (function)
csin csinf csinl (C99) (C99) (C99)	computes the complex sine (function)
ctan ctanf ctanl (C99) (C99) (C99)	computes the complex tangent (function)
Hyperbolic functions
cacosh cacoshf cacoshl (C99) (C99) (C99)	computes the complex arc hyperbolic cosine (function)
casinh casinhf casinhl (C99) (C99) (C99)	computes the complex arc hyperbolic sine (function)
catanh catanhf catanhl (C99) (C99) (C99)	computes the complex arc hyperbolic tangent (function)
ccosh ccoshf ccoshl (C99) (C99) (C99)	computes the complex hyperbolic cosine (function)
csinh csinhf csinhl (C99) (C99) (C99)	computes the complex hyperbolic sine (function)
ctanh ctanhf ctanhl (C99) (C99) (C99)	computes the complex hyperbolic tangent (function)