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remainder, remainderf, remainderl

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

The IEEE floating-point remainder of the division operation x/y calculated by this function is exactly the value x - n*y, where the value n is the integral value nearest the exact value x/y. When |n-x/y| = ½, the value n is chosen to be even.

-

In contrast to fmod(), the returned value is not guaranteed to have the same sign as x.

-

If the returned value is 0, it will have the same sign as x.

-

Parameters

- -
x, y - floating point values

Return value

If successful, returns the IEEE 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 is returned.

-

If y is zero, but the domain error does not occur, zero 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.

-

Example

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

Output:

-
remainder(+5.1, +3.0) = -0.9
-remainder(-5.1, +3.0) = 0.9
-remainder(+5.1, -3.0) = -0.9
-remainder(-5.1, -3.0) = 0.9
-remainder(+0.0, 1.0) = 0.0
-remainder(-0.0, 1.0) = -0.0
-remainder(+5.1, Inf) = 5.1
-remainder(+5.1, 0) = -nan
-    FE_INVALID raised

References

See also

- - - -
-
(C99)
computes quotient and remainder of integer division
(function)
-
(C99)(C99)
computes 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 remainder
-

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

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