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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  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 2**n to the magnitude of the
       integral quotient of x/ y, where n is an implementation-defined integer greater than or equal to 3.

       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.

       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 either a NaN
       (if supported), or an implementation-defined value 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.

       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 IEEE Std 1003.1-2001,
       Section 4.18, 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, 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 .

IEEE/The Open Group                                   2003                                             REMQUO(P)