CPROJ(3)                   POSIX Programmer's Manual                  CPROJ(3)



PPRROOLLOOGG
       This manual page is part of the POSIX Programmer's Manual.  The OS
       implementation of this interface may differ (consult the corresponding
       OS manual page for details of OS behavior), or the interface may not be
       implemented on OS.


NNAAMMEE
       cproj, cprojf, cprojl -- complex projection functions

SSYYNNOOPPSSIISS
       #include <complex.h>

       double complex cproj(double complex _z);
       float complex cprojf(float complex _z);
       long double complex cprojl(long double complex _z);

DDEESSCCRRIIPPTTIIOONN
       The functionality described on this reference page is aligned with the
       ISO C standard. Any conflict between the requirements described here
       and the ISO C standard is unintentional. This volume of POSIX.1-2008
       defers to the ISO C standard.

       These functions shall 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 _c_p_r_o_j(_z) shall be
       equivalent to:

           IINNFFIINNIITTYY ++ II ** ccooppyyssiiggnn((00..00,, cciimmaagg((zz))))

RREETTUURRNN VVAALLUUEE
       These functions shall return the value of the projection onto the
       Riemann sphere.

EERRRROORRSS
       No errors are defined.

       _T_h_e _f_o_l_l_o_w_i_n_g _s_e_c_t_i_o_n_s _a_r_e _i_n_f_o_r_m_a_t_i_v_e_.

EEXXAAMMPPLLEESS
       None.

AAPPPPLLIICCAATTIIOONN UUSSAAGGEE
       None.

RRAATTIIOONNAALLEE
       Two topologies are commonly used in complex mathematics: the complex
       plane with its continuum of infinities, and the Riemann sphere with its
       single infinity. The complex plane is better suited for transcendental
       functions, the Riemann sphere for algebraic functions. The complex
       types with their multiplicity of infinities provide a useful (though
       imperfect) model for the complex plane. The _c_p_r_o_j() function helps
       model the Riemann sphere by mapping all infinities to one, and should
       be used just before any operation, especially comparisons, that might
       give spurious results for any of the other infinities. Note that a
       complex value with one infinite part and one NaN part is regarded as an
       infinity, not a NaN, because if one part is infinite, the complex value
       is infinite independent of the value of the other part. For the same
       reason, _c_a_b_s() returns an infinity if its argument has an infinite part
       and a NaN part.

FFUUTTUURREE DDIIRREECCTTIIOONNSS
       None.

SSEEEE AALLSSOO
       _c_a_r_g(), _c_i_m_a_g(), _c_o_n_j(), _c_r_e_a_l()

       The Base Definitions volume of POSIX.1-2008, <<ccoommpplleexx..hh>>

CCOOPPYYRRIIGGHHTT
       Portions of this text are reprinted and reproduced in electronic form
       from IEEE Std 1003.1, 2013 Edition, Standard for Information Technology
       -- Portable Operating System Interface (POSIX), The Open Group Base
       Specifications Issue 7, Copyright (C) 2013 by the Institute of
       Electrical and Electronics Engineers, Inc and The Open Group.  (This is
       POSIX.1-2008 with the 2013 Technical Corrigendum 1 applied.) 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 original Standard can be obtained online
       at http://www.unix.org/online.html .

       Any typographical or formatting errors that appear in this page are
       most likely to have been introduced during the conversion of the source
       files to man page format. To report such errors, see
       https://www.kernel.org/doc/man-pages/reporting_bugs.html .



IEEE/The Open Group                  2013                             CPROJ(3)
