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#redirect [[C mathematical functions#complex.h]]
{{lowercase|title=complex.h}}
{{C Standard library}}
'''complex.h''' is a [[header file]] in the [[C standard library|standard library]] of the [[C programming language]] that defines functionality for [[complex arithmetic]]. These functions use the built-in type <code>complex</code> which was introduced with the [[C99]] revision of C.
==Function Declarations==
<code>complex.h</code> defines the following functions (note that values are represented in [[radian]]s):
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|<code>double cabs(double complex);</code> || Complex magnitude (double)
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|<code>float cabsf(float complex);</code> || Complex magnitude ([[IEEE 754-1985|float]])
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|<code>long double cabsl(long double complex);</code> || Complex magnitude (long double)
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|<code>double complex cacos(double complex);</code> || Complex [[inverse cosine]] (double)
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|<code>float complex cacosf(float complex);</code> || Complex inverse cosine (float)
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|<code>double complex cacosh(double complex);</code> || Complex [[inverse hyperbolic cosine]] (double)
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|<code>float complex cacoshf(float complex);</code> || Complex inverse hyperbolic cosine (float)
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|<code>long double complex cacoshl(long double complex);</code> || Complex inverse hyperbolic cosine (long double)
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|<code>long double complex cacosl(long double complex);</code> || Complex inverse cosine (long double)
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|<code>double carg(double complex);</code> || Complex argument (double)
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|<code>float cargf(float complex);</code> || Complex argument (float)
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|<code>long double cargl(long double complex);</code> || Complex argument (long double)
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|<code>double complex casin(double complex);</code> || Complex [[inverse sine]] (double)
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|<code>float complex casinf(float complex);</code> || Complex inverse sine (float)
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|<code>double complex casinh(double complex);</code> || Complex [[inverse hyperbolic sine]] (double)
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|<code>float complex casinhf(float complex);</code> || Complex inverse hyperbolic sine (float)
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|<code>long double complex casinhl(long double complex);</code> || Complex inverse hyperbolic sine (long double)
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|<code>long double complex casinl(long double complex);</code> || Complex inverse sine (long double)
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|<code>double complex catan(double complex);</code> || Complex [[inverse tangent]] (double)
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|<code>float complex catanf(float complex);</code> || Complex inverse tan (float)
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|<code>double complex catanh(double complex);</code> || Complex [[inverse hyperbolic tangent]] (double)
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|<code>float complex catanhf(float complex);</code> || Complex inverse hyperbolic tan (float)
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|<code>long double complex catanhl(long double complex);</code> || Complex inverse hyperbolic tan (long double)
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|<code>long double complex catanl(long double complex);</code> || Complex inverse tan (long double)
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|<code>double complex ccos(double complex);</code> || Complex [[cosine]] (double)
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|<code>float complex ccosf(float complex);</code> || Complex cosine (float)
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|<code>double complex ccosh(double complex);</code> || Complex [[hyperbolic cosine]] (double)
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|<code>float complex ccoshf(float complex);</code> || Complex hyperbolic cosine (float)
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|<code>long double complex ccoshl(long double complex);</code> || Complex hyperbolic cosine (long double)
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|<code>long double complex ccosl(long double complex);</code> || Complex cosine (long double)
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|<code>double complex cexp(double complex);</code> || Complex [[exponential]] (double)
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|<code>float complex cexpf(float complex);</code> || Complex exponential (float)
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|<code>long double complex cexpl(long double complex);</code> || Complex exponential (long double)
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|<code>double cimag(double complex);</code> || Imaginary part of complex number (double)
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|<code>float cimagf(float complex);</code> || Imaginary part of complex number (float)
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|<code>long double cimagl(long double complex);</code> || Imaginary part of complex number (long double)
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|<code>double complex clog(double complex);</code> || Complex [[logarithm]] (double)
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|<code>float complex clogf(float complex);</code> || Complex logarithm (float)
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|<code>long double complex clogl(long double complex);</code> || Complex logarithm (long double)
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|<code>double complex conj(double complex);</code> || Complex [[conjugate]] (double)
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|<code>float complex conjf(float complex);</code> || Complex conjugate (float)
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|<code>long double complex conjl(long double complex);</code> || Complex conjugate (long double)
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|<code>double complex cpow(double complex, double complex);</code> || Complex [[Exponentiation|power]] (double)
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|<code>float complex cpowf(float complex, float complex);</code> || Complex power (float)
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|<code>long double complex cpowl(long double complex, long double complex);</code> || Complex power (long double)
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|<code>double complex cproj(double complex);</code> || Complex projection (double)
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|<code>float complex cprojf(float complex);</code> || complex projection (float)
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|<code>long double complex cprojl(long double complex);</code> || Complex projection (long double)
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|<code>double creal(double complex);</code> || Imaginary number real part (double)
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|<code>float crealf(float complex);</code> || Imaginary number real part (float)
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|<code>long double creall(long double complex);</code> || Imaginary number real part (long double)
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|<code>double complex csin(double complex);</code> || Complex [[sine]] (double)
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|<code>float complex csinf(float complex);</code> || Complex sine (float)
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|<code>double complex csinh(double complex);</code> || Complex [[hyperbolic sine]] (double)
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|<code>float complex csinhf(float complex);</code> || Complex hyperbolic sine (float)
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|<code>long double complex csinhl(long double complex);</code> || Complex hyperbolic sine (long double)
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|<code>long double complex csinl(long double complex);</code> || Complex sine (long double)
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|<code>double complex csqrt(double complex);</code> || Complex [[square root]] (double)
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|<code>float complex csqrtf(float complex);</code> || Complex square root (float)
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|<code>long double complex csqrtl(long double complex);</code> || Complex square root (long double)
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|<code>double complex ctan(double complex);</code> || Complex [[tangent (trigonometric function)|tangent]] (double)
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|<code>float complex ctanf(float complex);</code> || Complex tangent (float)
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|<code>double complex ctanh(double complex);</code> || Complex [[hyperbolic tangent]] (double)
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|<code>float complex ctanhf(float complex);</code> || Complex hyperbolic tangent (float)
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|<code>long double complex ctanhl(long double complex);</code> || Complex hyperbolic tangent (long double)
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|<code>long double complex ctanl(long double complex);</code> || Complex tangent (long double)
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|}
==External links==
* [http://www.opengroup.org/onlinepubs/009695399/basedefs/complex.h.html http://www.opengroup.org/onlinepubs/009695399/basedefs/complex.h.html]
[[Category:C headers]]
[[Category:C standard library]]
[[uk:comples.h]]
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