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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 complex
     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 infin-
     ity), then cproj(z) is equivalent to INFINITY + I*copysign(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

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