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Linux 2.6 - man page for complex.h (linux section 7posix)

<complex.h>(P)			    POSIX Programmer's Manual			   <complex.h>(P)

NAME
       complex.h - complex arithmetic

SYNOPSIS
       #include <complex.h>

DESCRIPTION
       The <complex.h> header shall define the following macros:

       complex
	      Expands to _Complex.

       _Complex_I
	      Expands  to  a  constant expression of type const float _Complex, with the value of
	      the imaginary unit (that is, a number i such that i**2=-1).

       imaginary
	      Expands to _Imaginary.

       _Imaginary_I
	      Expands to a constant expression of type const float _Imaginary with the	value  of
	      the imaginary unit.

       I      Expands  to  either  _Imaginary_I  or _Complex_I. If _Imaginary_I is not defined, I
	      expands to _Complex_I.

       The macros imaginary and _Imaginary_I shall be defined if and only if  the  implementation
       supports imaginary types.

       An  application	may  undefine  and  then, perhaps, redefine the complex, imaginary, and I
       macros.

       The following shall be declared as functions and may also be defined as	macros.  Function
       prototypes shall be provided.

	      double		   cabs(double complex);
	      float		   cabsf(float complex);
	      long double	   cabsl(long double complex);
	      double complex	   cacos(double complex);
	      float complex	   cacosf(float complex);
	      double complex	   cacosh(double complex);
	      float complex	   cacoshf(float complex);
	      long double complex  cacoshl(long double complex);
	      long double complex  cacosl(long double complex);
	      double		   carg(double complex);
	      float		   cargf(float complex);
	      long double	   cargl(long double complex);
	      double complex	   casin(double complex);
	      float complex	   casinf(float complex);
	      double complex	   casinh(double complex);
	      float complex	   casinhf(float complex);
	      long double complex  casinhl(long double complex);
	      long double complex  casinl(long double complex);
	      double complex	   catan(double complex);
	      float complex	   catanf(float complex);
	      double complex	   catanh(double complex);
	      float complex	   catanhf(float complex);
	      long double complex  catanhl(long double complex);
	      long double complex  catanl(long double complex);
	      double complex	   ccos(double complex);
	      float complex	   ccosf(float complex);
	      double complex	   ccosh(double complex);
	      float complex	   ccoshf(float complex);
	      long double complex  ccoshl(long double complex);
	      long double complex  ccosl(long double complex);
	      double complex	   cexp(double complex);
	      float complex	   cexpf(float complex);
	      long double complex  cexpl(long double complex);
	      double		   cimag(double complex);
	      float		   cimagf(float complex);
	      long double	   cimagl(long double complex);
	      double complex	   clog(double complex);
	      float complex	   clogf(float complex);
	      long double complex  clogl(long double complex);
	      double complex	   conj(double complex);
	      float complex	   conjf(float complex);
	      long double complex  conjl(long double complex);
	      double complex	   cpow(double complex, double complex);
	      float complex	   cpowf(float complex, float complex);
	      long double complex  cpowl(long double complex, long double complex);
	      double complex	   cproj(double complex);
	      float complex	   cprojf(float complex);
	      long double complex  cprojl(long double complex);
	      double		   creal(double complex);
	      float		   crealf(float complex);
	      long double	   creall(long double complex);
	      double complex	   csin(double complex);
	      float complex	   csinf(float complex);
	      double complex	   csinh(double complex);
	      float complex	   csinhf(float complex);
	      long double complex  csinhl(long double complex);
	      long double complex  csinl(long double complex);
	      double complex	   csqrt(double complex);
	      float complex	   csqrtf(float complex);
	      long double complex  csqrtl(long double complex);
	      double complex	   ctan(double complex);
	      float complex	   ctanf(float complex);
	      double complex	   ctanh(double complex);
	      float complex	   ctanhf(float complex);
	      long double complex  ctanhl(long double complex);
	      long double complex  ctanl(long double complex);

       The following sections are informative.

APPLICATION USAGE
       Values are interpreted as radians, not degrees.

RATIONALE
       The  choice of I instead of i for the imaginary unit concedes to the widespread use of the
       identifier i for other purposes. The application can use a different  identifier,  say  j,
       for the imaginary unit by following the inclusion of the <complex.h> header with:

	      #undef I
	      #define j _Imaginary_I

       An  I suffix to designate imaginary constants is not required, as multiplication by I pro-
       vides a sufficiently convenient and more generally useful notation  for	imaginary  terms.
       The  corresponding  real  type for the imaginary unit is float, so that use of I for algo-
       rithmic or notational convenience will not result in widening types.

       On systems with imaginary types, the application has the ability to control whether use of
       the  macro  I introduces an imaginary type, by explicitly defining I to be _Imaginary_I or
       _Complex_I. Disallowing imaginary types is useful for some applications intended to run on
       implementations without support for such types.

       The macro _Imaginary_I provides a test for whether imaginary types are supported.

       The cis() function (cos(x) + I*sin(x)) was considered but rejected because its implementa-
       tion is easy and straightforward, even though some implementations could compute sine  and
       cosine more efficiently in tandem.

FUTURE DIRECTIONS
       The  following  function  names	and  the same names suffixed with f or l are reserved for
       future use, and may be added to the declarations in the <complex.h> header.

	  cerf()		       cexpm1() 		    clog2()
	  cerfc()		       clog10() 		    clgamma()
	  cexp2()		       clog1p() 		    ctgamma()

SEE ALSO
       The System Interfaces volume of IEEE Std 1003.1-2001, cabs(), cacos(),  cacosh(),  carg(),
       casin(),  casinh(),  catan(),  catanh(), ccos(), ccosh(), cexp(), cimag(), clog(), conj(),
       cpow(), cproj(), creal(), csin(), csinh(), csqrt(), ctan(), ctanh()

COPYRIGHT
       Portions of this text are reprinted and	reproduced  in	electronic  form  from	IEEE  Std
       1003.1,	2003  Edition,	Standard  for Information Technology -- Portable Operating System
       Interface (POSIX), The Open Group Base Specifications Issue 6, Copyright (C) 2001-2003  by
       the  Institute  of  Electrical  and  Electronics Engineers, Inc and The Open Group. In the
       event of any discrepancy between this version and the original IEEE  and  The  Open  Group
       Standard, the original IEEE and The Open Group Standard is the referee document. The orig-
       inal Standard can be obtained online at http://www.opengroup.org/unix/online.html .

IEEE/The Open Group			       2003				   <complex.h>(P)


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