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fmod, fmodf, fmodl

Defined in header <math.h> 
float       fmodf( float x, float y );
-		 (1) (since C99) 
double      fmod( double x, double y );
-		 (2) 
long double fmodl( long double x, long double y );
-		 (3) (since C99)
Defined in header <tgmath.h> 
#define fmod( x, y )
-		 (4) (since C99)
-1-3) Computes the floating-point remainder of the division operation x/y.
-4) Type-generic macro: If any argument has type long double, fmodl is called. Otherwise, if any argument has integer type or has type double, fmod is called. Otherwise, fmodf is called.

The floating-point remainder of the division operation x/y calculated by this function is exactly the value x - n*y, where n is x/y with its fractional part truncated.

-

The returned value has the same sign as x and is less or equal to y in magnitude.

-

Parameters

- -
x, y - floating point values

Return value

If successful, returns the floating-point remainder of the division x/y as defined above.

-

If a domain error occurs, an implementation-defined value is returned (NaN where supported).

-

If a range error occurs due to underflow, the correct result (after rounding) is returned.

-

Error handling

Errors are reported as specified in math_errhandling.

-

Domain error may occur if y is zero.

-

If the implementation supports IEEE floating-point arithmetic (IEC 60559),

-

Notes

POSIX requires that a domain error occurs if x is infinite or y is zero.

-

fmod, but not remainder is useful for doing silent wrapping of floating-point types to unsigned integer types: (0.0 <= (y = fmod(rint(x), 65536.0 )) ? y : 65536.0 + y) is in the range [-0.0 .. 65535.0], which corresponds to unsigned short, but remainder(rint(x), 65536.0) is in the range [-32767.0, +32768.0], which is outside of the range of signed short.

-

The double version of fmod behaves as if implemented as follows:

-
double fmod(double x, double y)
-{
-#pragma STDC FENV_ACCESS ON
-    double result = remainder(fabs(x), (y = fabs(y)));
-    if (signbit(result)) result += y;
-    return copysign(result, x);
-}

Example

#include <stdio.h>
-#include <math.h>
-#include <fenv.h>
- 
-// #pragma STDC FENV_ACCESS ON
-int main(void)
-{
-    printf("fmod(+5.1, +3.0) = %.1f\n", fmod(5.1,3));
-    printf("fmod(-5.1, +3.0) = %.1f\n", fmod(-5.1,3));
-    printf("fmod(+5.1, -3.0) = %.1f\n", fmod(5.1,-3));
-    printf("fmod(-5.1, -3.0) = %.1f\n", fmod(-5.1,-3));
- 
-    // special values
-    printf("fmod(+0.0, 1.0) = %.1f\n", fmod(0, 1));
-    printf("fmod(-0.0, 1.0) = %.1f\n", fmod(-0.0, 1));
-    printf("fmod(+5.1, Inf) = %.1f\n", fmod(5.1, INFINITY));
- 
-    // error handling
-    feclearexcept(FE_ALL_EXCEPT);
-    printf("fmod(+5.1, 0) = %.1f\n", fmod(5.1, 0));
-    if(fetestexcept(FE_INVALID)) puts("    FE_INVALID raised");
-}

Possible output:

-
fmod(+5.1, +3.0) = 2.1
-fmod(-5.1, +3.0) = -2.1
-fmod(+5.1, -3.0) = 2.1
-fmod(-5.1, -3.0) = -2.1
-fmod(+0.0, 1.0) = 0.0
-fmod(-0.0, 1.0) = -0.0
-fmod(+5.1, Inf) = 5.1
-fmod(+5.1, 0) = nan
-    FE_INVALID raised

References

See also

- - - -
-
(C99)
 computes quotient and remainder of integer division
(function)
-
(C99)(C99)(C99)
 computes signed remainder of the floating-point division operation
(function)
-
(C99)(C99)(C99)
 computes signed remainder as well as the three last bits of the division operation
(function)
C++ documentation for fmod
-

- © cppreference.com
Licensed under the Creative Commons Attribution-ShareAlike Unported License v3.0.
- https://en.cppreference.com/w/c/numeric/math/fmod -

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