complex(3) [freebsd man page]

COMPLEX(3)						   BSD Library Functions Manual 						COMPLEX(3)

NAME

     complex -- complex arithmetic

LIBRARY

     Math Library (libm, -lm)

SYNOPSIS

     #include <complex.h>

DESCRIPTION

     These functions support complex arithmetic in the C math library.

LIST OF FUNCTIONS

     Each of the following double complex functions has a float complex counterpart with an 'f' appended to the name and a long double complex
     counterpart with an 'l' appended.	As an example, the float complex and long double complex counterparts of double cabs(double complex z) are
     float cabsf(float complex z) and long double cabsl(long double complex z), respectively.

   Absolute-value Functions
     Name     Description
     cabs     complex absolute value (i.e. norm, modulus, magnitude)
     csqrt    complex square root

   Exponential Function
     Name     Description
     cexp     exponential base e

   Manipulation Functions
     Name     Description
     carg     compute the argument (i.e. phase angle)
     cimag    compute the imaginary part
     conj     compute the complex conjugate
     cproj    compute projection onto Riemann sphere
     creal    compute the real part

   Trigonometric and Hyperbolic Functions
     Name     Description
     cacos    arc cosine
     cacosh   arc hyperbolic cosine
     casin    arc sine
     casinh   arc hyperbolic sine
     catan    arc tangent
     catanh   arc hyperbolic tangent
     ccos     cosine
     ccosh    hyperbolic cosine
     csin     sine
     csinh    hyperbolic sine
     ctan     tangent
     ctanh    hyperbolic tangent

SEE ALSO

     fenv(3), ieee(3), math(3), tgmath(3)

     ISO/IEC 9899:TC3, http://www.open-std.org/jtc1/sc22/wg14/www/docs/n1256.pdf.

STANDARDS

     The <complex.h> functions described here conform to ISO/IEC 9899:1999 (``ISO C99'').

BUGS

     The logarithmic functions clog() and the power functions cpow() are not implemented.

BSD
								 October 17, 2011							       BSD

CACOS(3)						   BSD Library Functions Manual 						  CACOS(3)

NAME

     cacos, cacosf, cacosh, cacoshf, casin, casinf casinh, casinhf catan, catanf catanh, catanhf -- complex arc trigonometric and hyperbolic func-
     tions

LIBRARY

     Math Library (libm, -lm)

SYNOPSIS

     #include <complex.h>

     double complex
     cacos(double complex z);

     float complex
     cacosf(float complex z);

     double complex
     cacosh(double complex z);

     float complex
     cacoshf(float complex z);

     double complex
     casin(double complex z);

     float complex
     casinf(float complex z);

     double complex
     casinh(double complex z);

     float complex
     casinhf(float complex z);

     double complex
     catan(double complex z);

     float complex
     catanf(float complex z);

     double complex
     catanh(double complex z);

     float complex
     catanhf(float complex z);

DESCRIPTION

     The cacos(), casin(), and catan() functions compute the principal value of the inverse cosine, sine, and tangent of the complex number z,
     respectively.  The cacosh(), casinh(), and catanh() functions compute the principal value of the inverse hyperbolic cosine, sine, and tan-
     gent.  The cacosf(), casinf(), catanf() cacoshf(), casinhf(), and catanhf() functions perform the same operations in float precision.

     There is no universal convention for defining the principal values of these functions. The following table gives the branch cuts, and the
     corresponding ranges for the return values, adopted by the C language.

     Function	 Branch Cut(s)				Range
     cacos	 (-infinity, -1) U (1, infinity)	[0, pi]
     casin	 (-infinity, -1) U (1, infinity)	[-pi/2, pi/2]
     catan	 (-infinity*I, -i) U (I, infinity*I)	[-pi/2, pi/2]
     cacosh	 (-infinity, 1) 			[-pi*I, pi*I]
     casinh	 (-infinity*I, -i) U (I, infinity*I)	[-pi/2*I, pi/2*I]
     catanh	 (-infinity, -1) U (1, infinity)	[-pi/2*I, pi/2*I]

SEE ALSO

     ccos(3), ccosh(3), complex(3), cos(3), math(3), sin(3), tan(3)

STANDARDS

     These functions conform to ISO/IEC 9899:1999 (``ISO C99'').

BSD
								   May 27, 2013 							       BSD