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cprojf (3)
  • cprojf (3) ( Русские man: Библиотечные вызовы )
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  • >> cprojf (3) ( POSIX man: Библиотечные вызовы )
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    NAME

    cproj, cprojf, cprojl - complex projection functions
     
    

    SYNOPSIS

    #include <complex.h>

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

    DESCRIPTION

    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 IEEE Std 1003.1-2001 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 cproj( z) shall be equivalent to:

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

    RETURN VALUE

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

    ERRORS

    No errors are defined.

    The following sections are informative.  

    EXAMPLES

    None.  

    APPLICATION USAGE

    None.  

    RATIONALE

    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 cproj() 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, cabs() returns an infinity if its argument has an infinite part and a NaN part.  

    FUTURE DIRECTIONS

    None.  

    SEE ALSO

    carg() , cimag() , conj() , creal() , the Base Definitions volume of IEEE Std 1003.1-2001, <complex.h>  

    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 original Standard can be obtained online at http://www.opengroup.org/unix/online.html .


     

    Index

    NAME
    SYNOPSIS
    DESCRIPTION
    RETURN VALUE
    ERRORS
    EXAMPLES
    APPLICATION USAGE
    RATIONALE
    FUTURE DIRECTIONS
    SEE ALSO
    COPYRIGHT


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