rint, rintf, rintl, lrint, lrintf, lrintl, llrint, llrintf, llrintl

 

C

Language

Headers

Type support

Program utilities

Variadic function support

Error handling

Dynamic memory management

Strings library

Algorithms

Numerics

Date and time utilities

Input/output support

Localization support

Concurrency support (C11)

Technical Specifications

Symbol index

 

Numerics

Common mathematical functions

Floating-point environment (C99)

Pseudo-random number generation

Complex number arithmetic (C99)

Type-generic math (C99)

 

Common mathematical functions

Functions
Basic operations abslabsllabsimaxabs (C99)(C99) fabs divldivlldivimaxdiv (C99)(C99) fmod remainder (C99) remquo (C99) fma (C99) fdim (C99) nannanfnanlnandN (C99)(C99)(C99)(C23) Maximum/minimum operations fmax (C99) fmaximum (C23) fmaximum_mag (C23) fmaximum_num (C23) fmaximum_mag_num (C23)     fmin (C99) fminimum (C23) fminimum_mag (C23) fminimum_num (C23) fminimum_mag_num (C23) Exponential functions exp exp10 (C23) exp2 (C99) expm1 (C99) exp10m1 (C23) exp2m1 (C23) log log10 log2 (C99) log1plogp1 (C99)(C23) log10p1 (C23) log2p1 (C23) Power functions sqrt cbrt (C99) rootn (C23) rsqrt (C23) hypot (C99) compound (C23) pow pown (C23) powr (C23) Trigonometric and hyperbolic functions sin cos tan asin acos atan atan2 sinpi (C23) cospi (C23) tanpi (C23) asinpi (C23) acospi (C23) atanpi (C23) atan2pi (C23) sinh cosh tanh asinh (C99) acosh (C99) atanh (C99)	Error and gamma functions erf (C99) erfc (C99) lgamma (C99) tgamma (C99) Nearest integer floating-point operations ceil floor roundlroundllround (C99)(C99)(C99) roundeven (C23) trunc (C99) nearbyint (C99) rintlrintllrint (C99)(C99)(C99) fromfpfromfpxufromfpufromfpx (C23)(C23)(C23)(C23) Floating-point manipulation functions ldexp frexp scalbnscalbln (C99)(C99) ilogbllogb (C99)(C23) logb (C99) modf nextafternexttoward (C99)(C99) nextupnextdown (C23)(C23) copysign (C99) canonicalize (C23) Narrowing operations fadd (C23) fsub (C23) fmul (C23) fdiv (C23) ffma (C23) fsqrt (C23) Quantum and quantum exponent functions quantizedN (C23) samequantumdN (C23) quantumdN (C23) llquantexpdN (C23) Decimal re-encoding functions encodedecdN (C23) decodedecdN (C23) encodebindN (C23) decodebindN (C23) Total order and payload functions totalorder (C23) getpayload (C23) setpayload (C23) setpayloadsig (C23) Classification fpclassify (C99) iscanonical (C23) isfinite (C99) isinf (C99) isnan (C99) isnormal (C99) signbit (C99) issubnormal (C23) iszero (C23) isgreater (C99) isgreaterequal (C99) isless (C99) islessequal (C99) islessgreater (C99) isunordered (C99) issignaling (C23) iseqsig (C23)
Types
div_tldiv_tlldiv_timaxdiv_t (C99)(C99)     float_tdouble_t (C99)(C99)     _Decimal32_t_Decimal64_t (C23)(C23)
Macro constants
Special floating-point values HUGE_VALFHUGE_VALHUGE_VALLHUGE_VALDN (C99)(C99)(C23) INFINITYDEC_INFINITY (C99)(C23) NANDEC_NAN (C99)(C23) Arguments and return values FP_ILOGB0FP_ILOGBNAN (C99)(C99) FP_INT_UPWARDFP_INT_DOWNWARDFP_INT_TOWARDZEROFP_INT_TONEARESTFROMZEROFP_INT_TONEAREST (C23)(C23)(C23)(C23)(C23)     FP_LLOGB0FP_LLOGBNAN (C23)(C23) FP_NORMALFP_SUBNORMALFP_ZEROFP_INFINITEFP_NAN (C99)(C99)(C99)(C99)(C99)     Error handling math_errhandlingMATH_ERRNOMATH_ERRNOEXCEPT (C99)(C99)(C99)	Fast operation indicators FP_FAST_FMAFFP_FAST_FMA (C99)(C99) FP_FAST_FADDFP_FAST_FADDLFP_FAST_DADDLFP_FAST_DMADDDN (C23)(C23)(C23)(C23)     FP_FAST_FMULFP_FAST_FMULLFP_FAST_DMULLFP_FAST_DMMULDN (C23)(C23)(C23)(C23) FP_FAST_FFMAFP_FAST_FFMALFP_FAST_DFMALFP_FAST_DMFMADN (C23)(C23)(C23)(C23) FP_FAST_FMALFP_FAST_FMADN (C99)(C23) FP_FAST_FSUBFP_FAST_FSUBLFP_FAST_DSUBLFP_FAST_DMSUBDN (C23)(C23)(C23)(C23) FP_FAST_FDIVFP_FAST_FDIVLFP_FAST_DDIVLFP_FAST_DMDIVDN (C23)(C23)(C23)(C23) FP_FAST_FSQRTFP_FAST_FSQRTLFP_FAST_DSQRTLFP_FAST_DMSQRTDN (C23)(C23)(C23)(C23)

 

Defined in header <math.h>
float rintf( float arg );	(1)	(since C99)
double rint( double arg );	(2)	(since C99)
long double rintl( long double arg );	(3)	(since C99)
Defined in header <tgmath.h>
#define rint( arg )	(4)	(since C99)
Defined in header <math.h>
long lrintf( float arg );	(5)	(since C99)
long lrint( double arg );	(6)	(since C99)
long lrintl( long double arg );	(7)	(since C99)
Defined in header <tgmath.h>
#define lrint( arg )	(8)	(since C99)
Defined in header <math.h>
long long llrintf( float arg );	(9)	(since C99)
long long llrint( double arg );	(10)	(since C99)
long long llrintl( long double arg );	(11)	(since C99)
Defined in header <tgmath.h>
#define llrint( arg )	(12)	(since C99)

1-3) Rounds the floating-point argument arg to an integer value in floating-point format, using the current rounding mode.

5-7, 9-11) Rounds the floating-point argument arg to an integer value in integer format, using the current rounding mode.

4,8,12) Type-generic macros: If arg has type long double, rintl, lrintl, llrintl is called. Otherwise, if arg has integer type or the type double, rint, lrint, llrint is called. Otherwise, rintf, lrintf, llrintf is called, respectively.

Parameters

arg

-

floating point value

Return value

If no errors occur, the nearest integer value to arg, according to the current rounding mode, is returned.

Error handling

Errors are reported as specified in math_errhandling.

If the result of lrint or llrint is outside the range representable by the return type, a domain error or a range error may occur.

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

For the rint function:

• If arg is ±∞, it is returned, unmodified
• If arg is ±0, it is returned, unmodified
• If arg is NaN, NaN is returned

For lrint and llrint functions:

• If arg is ±∞, FE_INVALID is raised and an implementation-defined value is returned
• If the result of the rounding is outside the range of the return type, FE_INVALID is raised and an implementation-defined value is returned
• If arg is NaN, FE_INVALID is raised and an implementation-defined value is returned

Notes

POSIX specifies that all cases where lrint or llrint raise FE_INEXACT are domain errors.

As specified in math_errhandling, FE_INEXACT may be (but isn't required to be on non-IEEE floating-point platforms) raised by rint when rounding a non-integer finite value.

The only difference between rint and nearbyint is that nearbyint never raises FE_INEXACT.

The largest representable floating-point values are exact integers in all standard floating-point formats, so rint never overflows on its own; however the result may overflow any integer type (including intmax_t), when stored in an integer variable.

If the current rounding mode is...

• FE_DOWNWARD, then rint is equivalent to floor.
• FE_UPWARD, then rint is equivalent to ceil.
• FE_TOWARDZERO, then rint is equivalent to trunc
• FE_TONEAREST, then rint differs from round in that halfway cases are rounded to even rather than away from zero.

Example

Run this code

#include <stdio.h>
#include <math.h>
#include <fenv.h>
#include <limits.h>
 
int main(void)
{
#pragma STDC FENV_ACCESS ON
    fesetround(FE_TONEAREST);
    printf("rounding to nearest (halfway cases to even):\n"
           "rint(+2.3) = %+.1f  ", rint(2.3));
    printf("rint(+2.5) = %+.1f  ", rint(2.5));
    printf("rint(+3.5) = %+.1f\n", rint(3.5));
    printf("rint(-2.3) = %+.1f  ", rint(-2.3));
    printf("rint(-2.5) = %+.1f  ", rint(-2.5));
    printf("rint(-3.5) = %+.1f\n", rint(-3.5));
 
    fesetround(FE_DOWNWARD);
    printf("rounding down: \nrint(+2.3) = %+.1f  ", rint(2.3));
    printf("rint(+2.5) = %+.1f  ", rint(2.5));
    printf("rint(+3.5) = %+.1f\n", rint(3.5));
    printf("rint(-2.3) = %+.1f  ", rint(-2.3));
    printf("rint(-2.5) = %+.1f  ", rint(-2.5));
    printf("rint(-3.5) = %+.1f\n", rint(-3.5));
    printf("rounding down with lrint: \nlrint(+2.3) = %ld  ", lrint(2.3));
    printf("lrint(+2.5) = %ld  ", lrint(2.5));
    printf("lrint(+3.5) = %ld\n", lrint(3.5));
    printf("lrint(-2.3) = %ld  ", lrint(-2.3));
    printf("lrint(-2.5) = %ld  ", lrint(-2.5));
    printf("lrint(-3.5) = %ld\n", lrint(-3.5));
 
    printf("lrint(-0.0) = %ld\n", lrint(-0.0));
    printf("lrint(-Inf) = %ld\n", lrint(-INFINITY)); // FE_INVALID raised
 
    // error handling
    feclearexcept(FE_ALL_EXCEPT);
    printf("rint(1.1) = %.1f\n", rint(1.1));
    if(fetestexcept(FE_INEXACT)) puts("    FE_INEXACT was raised");
 
    feclearexcept(FE_ALL_EXCEPT);
    printf("lrint(LONG_MIN-2048.0) = %ld\n", lrint(LONG_MIN-2048.0));
    if(fetestexcept(FE_INVALID)) puts("    FE_INVALID was raised");
}

Possible output:

rounding to nearest (halfway cases to even):
rint(+2.3) = +2.0  rint(+2.5) = +2.0  rint(+3.5) = +4.0
rint(-2.3) = -2.0  rint(-2.5) = -2.0  rint(-3.5) = -4.0
rounding down: 
rint(+2.3) = +2.0  rint(+2.5) = +2.0  rint(+3.5) = +3.0
rint(-2.3) = -3.0  rint(-2.5) = -3.0  rint(-3.5) = -4.0
rounding down with lrint: 
lrint(+2.3) = 2  lrint(+2.5) = 2  lrint(+3.5) = 3
lrint(-2.3) = -3  lrint(-2.5) = -3  lrint(-3.5) = -4
lrint(-0.0) = 0
lrint(-Inf) = -9223372036854775808
rint(1.1) = 1.0
    FE_INEXACT was raised
lrint(LONG_MIN-2048.0) = -9223372036854775808
    FE_INVALID was raised

References

• C17 standard (ISO/IEC 9899:2018):

• 7.12.9.4 The rint functions (p: 184)

• 7.12.9.5 The lrint and llrint functions (p: 184)

• 7.25 Type-generic math <tgmath.h> (p: 272-273)

• F.10.6.4 The rint functions (p: 384)

• F.10.6.5 The lrint and llrint functions (p: 384)

• C11 standard (ISO/IEC 9899:2011):

• 7.12.9.4 The rint functions (p: 252)

• 7.12.9.5 The lrint and llrint functions (p: 252)

• 7.25 Type-generic math <tgmath.h> (p: 373-375)

• F.10.6.4 The rint functions (p: 527)

• F.10.6.5 The lrint and llrint functions (p: 527)

• C99 standard (ISO/IEC 9899:1999):

• 7.12.9.4 The rint functions (p: 232-233)

• 7.12.9.5 The lrint and llrint functions (p: 233)

• 7.22 Type-generic math <tgmath.h> (p: 335-337)

• F.9.6.4 The rint functions (p: 463)

• F.9.6.5 The lrint and llrint functions (p: 463)

See also

trunctruncftruncl (C99)(C99)(C99)	rounds to nearest integer not greater in magnitude than the given value (function)
nearbyintnearbyintfnearbyintl (C99)(C99)(C99)	rounds to an integer using current rounding mode (function)
fegetroundfesetround (C99)(C99)	gets or sets rounding direction (function)