# Remainder Functions

Many routines in the Intel® Math Library are more optimized for Intel® microprocessors than for non-Intel microprocessors.

The mathimf.h header file includes prototypes for Intel® Math Library functions.

The Intel® Math Library supports the following remainder functions:

## fmod

Description: The fmod function returns the value `x-n*y` for integer `n` such that if `y` is nonzero, the result has the same sign as `x` and magnitude less than the magnitude of `y`.

errno: EDOM, for y = 0

Calling interface:
`double fmod(double x, double y);`
`long double fmodl(long double x, long double y);`
`float fmodf(float x, float y);`

## remainder

Description: The remainder function returns the value of `x REM y` as required by the IEEE standard.

errno: EDOM, for y = 0

Calling interface:
`double remainder(double x, double y);`
`long double remainderl(long double x, long double y);`
`float remainderf(float x, float y);`

## remquo

Description: The remquo function returns the value of `x REM y`. In the object pointed to by `quo` the function stores a value whose sign is the sign of `x/y` and whose magnitude is congruent modulo 2n of the integral quotient of `x/y`. `N` is an implementation-defined integer. For all systems, `N` is equal to 31.

errno: EDOM, for y = 0

Calling interface:
`double remquo(double x, double y, int *quo);`
`long double remquol(long double x, long double y, int *quo);`
`float remquof(float x, float y, int *quo);`

Parent topic: Math Functions