10-14-2012
There are some statistics books that recommend rounding even values down (4.5 -> 4) and odd values up (5.5 -> 6) assuming that doing so will produce sums of rounded numbers closer to the value of the sums of the unrounded values. But I doubt that ksh is trying to provide that capability. I would guess that this could easily be caused by some programs using float, others using double, and still others using long double and having the process of converting 4.5 to the closest value in those formats sitting on opposite sides of the not quite exact value 4.5 representable in the various formats.
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6
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printf "$i -> %.0f\n", $i;
}
__END__
0.5 -> 0
1.5 -> 2
2.5 -> 2
3.5 -> 4
4.5 -> 4
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RINT(3) BSD Library Functions Manual RINT(3)
NAME
rint, lrint, llrint -- round to integral value
SYNOPSIS
#include <math.h>
double
rint(double x);
long double
rintl(long double x);
float
rintf(float x);
long int
lrint(double x);
long int
lrintl(long double x);
long int
lrintf(float x);
long long int
llrint(double x);
long long int
llrintl(long double x);
long long int
llrintf(float x);
DESCRIPTION
The rint() functions return the integral value nearest to x (according to the prevailing rounding mode) in floating-point format.
The lrint() and llrint() functions return the integral value nearest to x (according to the prevailing rounding mode) in the return formats
specified. If the rounded value is outside the range of the return type, the numeric result is unspecified and the "invalid" floating-point
exception is raised. A range error may occur if the magnitude of x is too large.
SPECIAL VALUES
rint(+-0) returns +-0 for all rounding modes.
rint(+-infinity) returns +-infinity for all rounding modes.
All these functions raise the "inexact" floating-point exception if the result differs in value from the argument (except when they raise
some other floating-point exception, such as "invalid").
NOTE
The rinttol() function is deprecated. Please use the C99 function lrint() instead.
SEE ALSO
abs(3), fabs(3), ceil(3), floor(3), math(3)
STANDARDS
The rint() , lrint() , and llrint() functions conform to ISO/IEC 9899:2011.
BSD
July 02, 2008 BSD