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```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
representation 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.