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      remainder, remainderf, remainderl

      From cppreference.com
      <c‎ |numeric‎ |math
       
       
       
      Common mathematical functions
      Functions
      Basic operations
      remainder
      (C99)
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      Defined in header<math.h>
      float       remainderf(float x,float y);
      (1)(since C99)
      double      remainder(double x,double y);
      (2)(since C99)
      longdouble remainderl(longdouble x,longdouble 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 operationx/y.
      4) Type-generic macro: If any argument has typelongdouble,remainderl is called. Otherwise, if any argument has integer type or has typedouble,remainder is called. Otherwise,remainderf is called.

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

      In contrast tofmod(), the returned value is not guaranteed to have the same sign asx.

      If the returned value is0, it will have the same sign asx.

      Contents

      [edit]Parameters

      x, y - floating-point values

      [edit]Return value

      If successful, returns the IEEE floating-point remainder of the divisionx/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.

      Ify is zero, but the domain error does not occur, zero is returned.

      [edit]Error handling

      Errors are reported as specified inmath_errhandling.

      Domain error may occur ify is zero.

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

      • The currentrounding mode has no effect.
      • FE_INEXACT is never raised, the result is always exact.
      • Ifx is ±∞ andy is not NaN, NaN is returned andFE_INVALID is raised.
      • Ify is ±0 andx is not NaN, NaN is returned andFE_INVALID is raised.
      • If either argument is NaN, NaN is returned.

      [edit]Notes

      POSIX requires that a domain error occurs ifx is infinite ory is zero.

      fmod, but notremainder 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[-0.065535.0], which corresponds tounsignedshort, butremainder(rint(x),65536.0) is in the range[-32767.0+32768.0], which is outside of the range ofsignedshort.

      [edit]Example

      Run this code
      #include <fenv.h>#include <math.h>#include <stdio.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 valuesprintf("remainder(-0.0, 1.0) = %.1f\n", remainder(-0.0,1));printf("remainder(+5.1, Inf) = %.1f\n", remainder(5.1, INFINITY)); // error handlingfeclearexcept(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) = -0.9remainder(-5.1, +3.0) = 0.9remainder(+5.1, -3.0) = -0.9remainder(-5.1, -3.0) = 0.9remainder(+0.0, 1.0) = 0.0remainder(-0.0, 1.0) = -0.0remainder(+5.1, Inf) = 5.1remainder(+5.1, 0) = -nan    FE_INVALID raised

      [edit]References

      • C23 standard (ISO/IEC 9899:2024):
      • 7.12.10.2 The remainder functions (p: TBD)
      • 7.25 Type-generic math <tgmath.h> (p: TBD)
      • F.10.7.2 The remainder functions (p: TBD)
      • C17 standard (ISO/IEC 9899:2018):
      • 7.12.10.2 The remainder functions (p: 185-186)
      • 7.25 Type-generic math <tgmath.h> (p: 272-273)
      • F.10.7.2 The remainder functions (p: 385)
      • C11 standard (ISO/IEC 9899:2011):
      • 7.12.10.2 The remainder functions (p: 254-255)
      • 7.25 Type-generic math <tgmath.h> (p: 373-375)
      • F.10.7.2 The remainder functions (p: 529)
      • C99 standard (ISO/IEC 9899:1999):
      • 7.12.10.2 The remainder functions (p: 235)
      • 7.22 Type-generic math <tgmath.h> (p: 335-337)
      • F.9.7.2 The remainder functions (p: 465)

      [edit]See also

      computes quotient and remainder of integer division
      (function)[edit]
      (C99)(C99)
      computes remainder of the floating-point division operation
      (function)[edit]
      (C99)(C99)(C99)
      computes signed remainder as well as the three last bits of the division operation
      (function)[edit]
      C++ documentation forremainder
      Retrieved from "https://en.cppreference.com/mwiki/index.php?title=c/numeric/math/remainder&oldid=172056"

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