cproj(3) [osx man page]

CPROJ(3)						   BSD Library Functions Manual 						  CPROJ(3)

NAME

     cproj -- projection onto the Riemann sphere

SYNOPSIS

     #include <complex.h>

     double complex
     cproj(double complex z);

     long double complex
     cprojl(long double complex z);

     float complex
     cprojf(float complex z);

DESCRIPTION

     cproj(z) computes the projection of a complex floating-point number z onto the Riemann sphere: for any finite z, cproj(z) = z, but all com-
     plex infinities (including infinities with one NaN part) project to positive infinity on the real axis.

     Specifically, if z = x + iy has an infinite part (one of x or y is infinity), then cproj(z) is equivalent to INFINITY + I*copy-
     sign(0.0,cimag(z)).

NOTE

     cproj() projects onto the C99 "Riemann Sphere", which may not agree with the mathematical notion of the Riemann Sphere; in particular, it has
     two infinites (inf +- 0i) and four zeroes (+-0 +- 0i).

SEE ALSO

     complex(3)

STANDARDS

     The cproj() function conforms to ISO/IEC 9899:2011.

4th Berkeley Distribution					 December 11, 2006					 4th Berkeley Distribution

cproj(3M)						  Mathematical Library Functions						 cproj(3M)

NAME

       cproj, cprojf, cprojl - complex projection functions

SYNOPSIS

       c99 [ flag... ] file... -lm [ library... ]
       #include <complex.h>

       double complex cproj(double complex z);

       float complex cprojf(float complex z);

       long double complex cprojl(long double complex z);

DESCRIPTION

       These functions compute a projection of z onto the Riemann sphere: z projects to z, except that all complex infinities (even those with one
       infinite part and one NaN part) project to positive infinity on the real axis. If z has an infinite part, then cproj(z) is equivalent to:

	 INFINITY + I * copysign(0.0, cimag(z))

RETURN VALUES

       These functions return the value of the projection onto the Riemann sphere.

ERRORS

       No errors are defined.

ATTRIBUTES

       See attributes(5) for descriptions of the following attributes:

       +-----------------------------+-----------------------------+
       |      ATTRIBUTE TYPE	     |	    ATTRIBUTE VALUE	   |
       +-----------------------------+-----------------------------+
       |Interface Stability	     |Standard			   |
       +-----------------------------+-----------------------------+
       |MT-Level		     |MT-Safe			   |
       +-----------------------------+-----------------------------+

SEE ALSO

       carg(3M), cimag(3M), complex.h(3HEAD), conj(3M), creal(3M), attributes(5), standards(5)

SunOS 5.11							    12 Jul 2006 							 cproj(3M)