remainder(3) [netbsd man page]

REMAINDER(3)						   BSD Library Functions Manual 					      REMAINDER(3)

NAME

     remainder, remainderf, remquo, remquof -- remainder functions

LIBRARY

     Math Library (libm, -lm)

SYNOPSIS

     #include <math.h>

     double
     remainder(double x, double y);

     float
     remainderf(float x, float y);

     double
     remquo(double x, double y, int *quo);

     float
     remquof(float x, float y, int *quo);

DESCRIPTION

     Provided that y != 0 , the remainder() and remainderf() functions calculate the floating-point remainder r of

	   r = x - ny,

     where n is the integral value nearest to the exact value of x / y.  If

	   | n - x / y | = 1/2 ,

     the value n is chosen to be even.	Consequently, the remainder is computed exactly and | r | <= | y | / 2 .

     Also the remquo() and remquof() functions calculate the remainder as described above.  But these additionally use quo to store a value whose
     sign is the sign of x / y and whose magnitude is congruent modulo 2^k to the magnitude of the integral quotient of x / y, where k is an
     implementation-defined integer greater than or equal to 3.

     The rationale of the remquo() family of functions relates to situations where only few bits of the quotient are required.	The exact repre-
     sentation of the quotient may not be meaningful when x is large in magnitude compared to y.

RETURN VALUES

     The functions return the remainder independent of the rounding mode.  If y is zero , NaN is returned and a domain error occurs.  A domain
     error occurs and a NaN is returned also when x is infinite but y is not a NaN.  If either x or y is NaN, a NaN is always returned.

SEE ALSO

     div(3), fast_remainder32(3), fmod(3), math(3)

STANDARDS

     The described functions conform to ISO/IEC 9899:1999 (``ISO C99'').

BSD
								September 18, 2011							       BSD

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REMAINDER(3)						   BSD Library Functions Manual 					      REMAINDER(3)

NAME

     remainder, remainderf, remainderl, remquo, remquof, remquol -- minimal residue functions

LIBRARY

     Math Library (libm, -lm)

SYNOPSIS

     #include <math.h>

     double
     remainder(double x, double y);

     float
     remainderf(float x, float y);

     long double
     remainderl(long double x, long double y);

     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

     remainder(), remainderf(), remainderl(), remquo(), remquof(), and remquol() return the remainder r := x - n*y where n is the integer nearest
     the exact value of x/y; moreover if |n - x/y| = 1/2 then n is even.  Consequently the remainder is computed exactly and |r| <= |y|/2.  But
     attempting to take the remainder when y is 0 or x is +-infinity is an invalid operation that produces a NaN.

     The remquo(), remquof(), and remquol() functions also store the last k bits of n in the location pointed to by quo, provided that n exists.
     The number of bits k is platform-specific, but is guaranteed to be at least 3.

SEE ALSO

     fmod(3), ieee(3), math(3)

STANDARDS

     The remainder(), remainderf(), remainderl(), remquo(), remquof(), and remquol() routines conform to ISO/IEC 9899:1999 (``ISO C99'').  The
     remainder is as defined in IEEE Std 754-1985.

HISTORY

     The remainder() and remainderf() functions appeared in 4.3BSD and FreeBSD 2.0, respectively.  The remquo() and remquof() functions were added
     in FreeBSD 6.0, and remainderl() and remquol() were added in FreeBSD 8.0.

BSD
								  March 30, 2008							       BSD

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remainder(3) [netbsd man page]

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