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REMQUO(3P)		   POSIX Programmer's Manual		    REMQUO(3P)

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

NAME
       remquo, remquof, remquol — remainder functions

SYNOPSIS
       #include <math.h>

       double remquo(double x, double y, int *quo);
       float remquof(float x, float y, int *quo);
       long double remquol(long double x, long double y, int *quo);

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  POSIX.1‐2008
       defers to the ISO C standard.

       The remquo(), remquof(), and remquol() functions shall compute the same
       remainder as the remainder(), remainderf(), and remainderl() functions,
       respectively. In the object pointed to by quo, they store a value whose
       sign is the sign of x/y and whose magnitude is congruent modulo	2n  to
       the  magnitude of the integral quotient of x/y, where n is an implemen‐
       tation-defined integer greater than or equal to 3. If y	is  zero,  the
       value stored in the object pointed to by quo is unspecified.

       An  application	wishing to check for error situations should set errno
       to zero and  call  feclearexcept(FE_ALL_EXCEPT)	before	calling	 these
       functions. On return, if errno is non-zero or fetestexcept(FE_INVALID |
       FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW) is non-zero,	an  error  has
       occurred.

RETURN VALUE
       These functions shall return x REM y.

       On  systems that do not support the IEC 60559 Floating-Point option, if
       y is zero, it is implementation-defined whether a domain	 error	occurs
       or zero is returned.

       If x or y is NaN, a NaN shall be returned.

       If  x  is ±Inf or y is zero and the other argument is non-NaN, a domain
       error shall occur, and a NaN shall be returned.

ERRORS
       These functions shall fail if:

       Domain Error
		   The x argument is ±Inf, or the y argument  is  ±0  and  the
		   other argument is non-NaN.

		   If  the  integer expression (math_errhandling & MATH_ERRNO)
		   is non-zero, then errno shall be set	 to  [EDOM].   If  the
		   integer  expression	(math_errhandling & MATH_ERREXCEPT) is
		   non-zero, then the invalid floating-point  exception	 shall
		   be raised.

       These functions may fail if:

       Domain Error
		   The y argument is zero.

		   If  the  integer expression (math_errhandling & MATH_ERRNO)
		   is non-zero, then errno shall be set	 to  [EDOM].   If  the
		   integer  expression	(math_errhandling & MATH_ERREXCEPT) is
		   non-zero, then the invalid floating-point  exception	 shall
		   be raised.

       The following sections are informative.

EXAMPLES
       None.

APPLICATION USAGE
       On   error,   the   expressions	(math_errhandling  &  MATH_ERRNO)  and
       (math_errhandling & MATH_ERREXCEPT) are independent of each other,  but
       at least one of them must be non-zero.

RATIONALE
       These functions are intended for implementing argument reductions which
       can exploit a few low-order bits of the quotient. Note that x may be so
       large  in  magnitude  relative to y that an exact representation of the
       quotient is not practical.

FUTURE DIRECTIONS
       None.

SEE ALSO
       feclearexcept(), fetestexcept(), remainder()

       The Base Definitions volume of POSIX.1‐2008, Section 4.19, Treatment of
       Error Conditions for Mathematical Functions, <math.h>

COPYRIGHT
       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 Electri‐
       cal  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.ker‐
       nel.org/doc/man-pages/reporting_bugs.html .

IEEE/The Open Group		     2013			    REMQUO(3P)
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