remainder, remainderf, remquo, remquof - minimal residue functions

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.Lb libm

.In 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

remainder, remainderf, remquo, and remquof return the remainder r := x - n*y where n is the integer nearest the exact value of
.Bk -words x / y;
.Ek moreover if \*(Ba n -
.Sm off x / y \*(Ba
.Sm on = 1/2 then n is even. Consequently the remainder is computed exactly and
.Sm off \*(Ba r \*(Ba
.Sm on <=
.Sm off \*(Ba y \*(Ba/2.
.Sm on But attempting to take the remainder when y is 0 or x is ±oo is an invalid operation that produces a NaN.

The remquo and remquof 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.

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

The remainder, remainderf, remquo, and remquof routines conform to -isoC-99. The remainder is as defined in -ieee754.

The remainder and remainderf functions appeared in BSD 4.3 and
.Fx 2.0 , respectively. The remquo and remquof functions were added in
.Fx 6.0 .

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