How can I round a decimal number (floating point) to the nearest integer?
e.g.
1.2 = 1
1.7 = 2
How can I round a decimal number (floating point) to the nearest integer?
e.g.
1.2 = 1
1.7 = 2
Output of perldoc -q round
Does Perl have a round() function? What about ceil() and floor()? Trig functions?Remember that
int()merely truncates toward0. For rounding to a certain number of digits,sprintf()orprintf()is usually the easiest route.
printf("%.3f", 3.1415926535); # prints 3.142The
POSIXmodule (part of the standard Perl distribution) implementsceil(),floor(), and a number of other mathematical and trigonometric functions.
use POSIX; $ceil = ceil(3.5); # 4 $floor = floor(3.5); # 3In 5.000 to 5.003 perls, trigonometry was done in the
Math::Complexmodule. With 5.004, theMath::Trigmodule (part of the standard Perl distribution) implements the trigonometric functions. Internally it uses theMath::Complexmodule and some functions can break out from the real axis into the complex plane, for example the inverse sine of 2.Rounding in financial applications can have serious implications, and the rounding method used should be specified precisely. In these cases, it probably pays not to trust whichever system rounding is being used by Perl, but to instead implement the rounding function you need yourself.
To see why, notice how you'll still have an issue on half-way-point alternation:
for ($i = 0; $i < 1.01; $i += 0.05) { printf "%.1f ",$i} 0.0 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.4 0.4 0.5 0.5 0.6 0.7 0.7 0.8 0.8 0.9 0.9 1.0 1.0Don't blame Perl. It's the same as in C. IEEE says we have to do this. Perl numbers whose absolute values are integers under
2**31(on 32 bit machines) will work pretty much like mathematical integers. Other numbers are not guaranteed.
You can either use a module like Math::Round:
use Math::Round;
my $rounded = round( $float );
Or you can do it the crude way:
my $rounded = sprintf "%.0f", $float;
If you decide to use printf or sprintf, note that they use the Round half to even method.
foreach my $i ( 0.5, 1.5, 2.5, 3.5 ) {
printf "$i -> %.0f\n", $i;
}
__END__
0.5 -> 0
1.5 -> 2
2.5 -> 2
3.5 -> 4
See perldoc/perlfaq:
Remember that
int()merely truncates toward 0. For rounding to a certain number of digits,sprintf()orprintf()is usually the easiest route.printf("%.3f",3.1415926535); # prints 3.142The
POSIXmodule (part of the standard Perl distribution) implementsceil(),floor(), and a number of other mathematical and trigonometric functions.use POSIX; $ceil = ceil(3.5); # 4 $floor = floor(3.5); # 3In 5.000 to 5.003 perls, trigonometry was done in the
Math::Complexmodule.With 5.004, the
Math::Trigmodule (part of the standard Perl distribution) > implements the trigonometric functions.Internally it uses the
Math::Complexmodule and some functions can break out from the real axis into the complex plane, for example the inverse sine of 2.Rounding in financial applications can have serious implications, and the rounding method used should be specified precisely. In these cases, it probably pays not to trust whichever system rounding is being used by Perl, but to instead implement the rounding function you need yourself.
To see why, notice how you'll still have an issue on half-way-point alternation:
for ($i = 0; $i < 1.01; $i += 0.05) { printf "%.1f ",$i } 0.0 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.4 0.4 0.5 0.5 0.6 0.7 0.7 0.8 0.8 0.9 0.9 1.0 1.0Don't blame Perl. It's the same as in C. IEEE says we have to do this. Perl numbers whose absolute values are integers under 2**31 (on 32 bit machines) will work pretty much like mathematical integers. Other numbers are not guaranteed.
Following is a sample of five different ways to summate values. The first is a naive way to perform the summation (and fails). The second attempts to use sprintf(), but it too fails. The third uses sprintf() successfully while the final two (4th & 5th) use floor($value + 0.5).
use strict;
use warnings;
use POSIX;
my @values = (26.67,62.51,62.51,62.51,68.82,79.39,79.39);
my $total1 = 0.00;
my $total2 = 0;
my $total3 = 0;
my $total4 = 0.00;
my $total5 = 0;
my $value1;
my $value2;
my $value3;
my $value4;
my $value5;
foreach $value1 (@values)
{
$value2 = $value1;
$value3 = $value1;
$value4 = $value1;
$value5 = $value1;
$total1 += $value1;
$total2 += sprintf('%d', $value2 * 100);
$value3 = sprintf('%1.2f', $value3);
$value3 =~ s/\.//;
$total3 += $value3;
$total4 += $value4;
$total5 += floor(($value5 * 100.0) + 0.5);
}
$total1 *= 100;
$total4 = floor(($total4 * 100.0) + 0.5);
print '$total1: '.sprintf('%011d', $total1)."\n";
print '$total2: '.sprintf('%011d', $total2)."\n";
print '$total3: '.sprintf('%011d', $total3)."\n";
print '$total4: '.sprintf('%011d', $total4)."\n";
print '$total5: '.sprintf('%011d', $total5)."\n";
exit(0);
#$total1: 00000044179
#$total2: 00000044179
#$total3: 00000044180
#$total4: 00000044180
#$total5: 00000044180
Note that floor($value + 0.5) can be replaced with int($value + 0.5) to remove the dependency on POSIX.
Using Math::BigFloat you can do something like this:
use Math::BigFloat;
print Math::BigFloat->new(1.2)->bfround(1); ## 1
print Math::BigFloat->new(1.7)->bfround(1); ## 2
This can be wrapped in a subroutine
use Math::BigFloat;
sub round {
Math::BigFloat->new(shift)->bfround(1);
}
print round(1.2); ## 1
print round(1.7); ## 2
loads of reading documentation on how to round numbers, many experts suggest writing your own rounding routines, as the 'canned' version provided with your language may not be precise enough, or contain errors. i imagine, however, they're talking many decimal places not just one, two, or three. with that in mind, here is my solution (although not EXACTLY as requested as my needs are to display dollars - the process is not much different, though).
sub asDollars($) {
my ($cost) = @_;
my $rv = 0;
my $negative = 0;
if ($cost =~ /^-/) {
$negative = 1;
$cost =~ s/^-//;
}
my @cost = split(/\./, $cost);
# let's get the first 3 digits of $cost[1]
my ($digit1, $digit2, $digit3) = split("", $cost[1]);
# now, is $digit3 >= 5?
# if yes, plus one to $digit2.
# is $digit2 > 9 now?
# if yes, $digit2 = 0, $digit1++
# is $digit1 > 9 now??
# if yes, $digit1 = 0, $cost[0]++
if ($digit3 >= 5) {
$digit3 = 0;
$digit2++;
if ($digit2 > 9) {
$digit2 = 0;
$digit1++;
if ($digit1 > 9) {
$digit1 = 0;
$cost[0]++;
}
}
}
$cost[1] = $digit1 . $digit2;
if ($digit1 ne "0" and $cost[1] < 10) { $cost[1] .= "0"; }
# and pretty up the left of decimal
if ($cost[0] > 999) { $cost[0] = commafied($cost[0]); }
$rv = join(".", @cost);
if ($negative) { $rv = "-" . $rv; }
return $rv;
}
sub commafied($) {
#*
# to insert commas before every 3rd number (from the right)
# positive or negative numbers
#*
my ($num) = @_; # the number to insert commas into!
my $negative = 0;
if ($num =~ /^-/) {
$negative = 1;
$num =~ s/^-//;
}
$num =~ s/^(0)*//; # strip LEADING zeros from given number!
$num =~ s/0/-/g; # convert zeros to dashes because ... computers!
if ($num) {
my @digits = reverse split("", $num);
$num = "";
for (my $i = 0; $i < @digits; $i += 3) {
$num .= $digits[$i];
if ($digits[$i+1]) { $num .= $digits[$i+1]; }
if ($digits[$i+2]) { $num .= $digits[$i+2]; }
if ($i < (@digits - 3)) { $num .= ","; }
if ($i >= @digits) { last; }
}
#$num =~ s/,$//;
$num = join("", reverse split("", $num));
$num =~ s/-/0/g;
}
if ($negative) { $num = "-" . $num; }
return $num; # a number with commas added
#usage: my $prettyNum = commafied(1234567890);
}