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Template:C Standard library

complex.h is a header file in the standard library of the C programming language that defines functionality for complex arithmetic.^[1] These functions use the built-in type complex which was introduced with the C99 revision of C.

This header should not be confused with the C++ standard library header <complex>, which implements complex numbers in a completely different way (as a template class, complex<T>).

Functions

Each function declared in complex.h has three versions, each of which works with a different floating-point type (double, float and long double). Only the double version of each function is listed here; to use the float (or long double) version, append an f (or an l, respectively) to the function's name.

Note that all angles are in radians.




double         cabs(double complex);
Complex magnitude


double complex cacos(double complex);
Complex inverse cosine


double complex cacosh(double complex);
Complex inverse hyperbolic cosine


double         carg(double complex);
Complex argument


double complex casin(double complex);
Complex inverse sine


double complex casinh(double complex);
Complex inverse hyperbolic sine


double complex catan(double complex);
Complex inverse tangent


double complex catanh(double complex);
Complex inverse hyperbolic tangent


double complex ccos(double complex);
Complex cosine


double complex ccosh(double complex);
Complex hyperbolic cosine


double complex cexp(double complex);
Complex exponential


double         cimag(double complex);
Imaginary part of complex number


double complex clog(double complex);
Complex logarithm


double complex conj(double complex);
Complex conjugate


double complex cpow(double complex, double complex);
Complex power


double complex cproj(double complex);
Complex projectionTemplate:Ref label


double         creal(double complex);
Real part of complex number


double complex csin(double complex);
Complex sine


double complex csinh(double complex);
Complex hyperbolic sine


double complex csqrt(double complex);
Complex square root


double complex ctan(double complex);
Complex tangent


double complex ctanh(double complex);
Complex hyperbolic tangent

Template:Note label cproj(z) projects the complex number z onto the Riemann sphere; the result is z itself, except complex infinities are mapped to positive infinity on the real axis.^[2]

References


↑ complex.h: complex arithmetic – Base Definitions Reference, The Single UNIX® Specification, Issue 7 from The Open Group

↑ cproj: complex projection function – System Interfaces Reference, The Single UNIX® Specification, Issue 7 from The Open Group

[SUS-1] complex.h: complex arithmetic – Base Definitions Reference, The Single UNIX® Specification, Issue 7 from The Open Group

[2] cproj: complex projection function – System Interfaces Reference, The Single UNIX® Specification, Issue 7 from The Open Group

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@@ Line 33: / Line 33: @@
 |<code>double complex ccosh(double complex);</code> ||  Complex [[hyperbolic cosine]]
 |-
-|<code>double complex cexp(double complex);</code> ||  Complex [[exponential]]
+|<code>double complex cexp(double complex);</code> ||  Complex [[Exponential function|exponential]]
 |-
 |<code>double {{spaces|7}} cimag(double complex);</code> ||  [[Imaginary part]] of complex number