Bash – How to tell if floating point arithmetic is performed in hardware or software

bash

In bash, that's probably as good as it gets. That uses a shell builtin. If you need the result in a variable, you could use command substitution, or the bash specific (though now also supported by zsh):

printf -v int %.0f "$float"

You could do:

float=1.23
int=${float%.*}

But that would remove the fractional part instead of giving you the nearest integer and that wouldn't work for values of $float like 1.2e9 or .12 for instance.

Also note the possible limitations due to the internal representation of floats:

$ printf '%.0f\n' 1e50
100000000000000007629769841091887003294964970946560

You do get an integer, but chances are that you won't be able to use that integer anywhere.

Also, as noted by @BinaryZebra, in several printf implementations (bash, ksh93, yash, not GNU, zsh, dash), it is affected by the locale (the decimal separator which can be . or ,).

So, if your floats are always expressed with the period as the decimal separator and you want it to be treated as such by printf regardless of the locale of the user invoking your script, you'd need to fix the locale to C:

LC_ALL=C printf '%.0f' "$float"

With yash, you can also do:

printf '%.0f' "$(($float))"

(see below).

POSIX

printf "%.0f\n" 1.1

is not POSIX as %f is not required to be supported by POSIX.

POSIXly, you can do:

f2i() {
  awk 'BEGIN{for (i=1; i<ARGC;i++)
   printf "%.0f\n", ARGV[i]}' "$@"
}

That one is not affected by the locale (the comma cannot be a decimal separator in awk since it's already a special character in the syntax there (print 1,2, same as print 1, 2 to pass two arguments to print)

zsh

In zsh (which supports floating point arithmetic (decimal separator is always the period)), you have the rint() math function to give you the nearest integer as a float (like in C) and int() to give you an integer from a float (like in awk). So you can do:

$ zmodload zsh/mathfunc
$ i=$((int(rint(1.234e2))))
$ echo $i
123

Or:

$ integer i=$((rint(5.678e2)))
$ echo $i
568

However note that while doubles can represent very large numbers, integers are much more limited.

$ printf '%.0f\n' 1e123
999999999999999977709969731404129670057984297594921577392083322662491290889839886077866558841507631684757522070951350501376
$ echo $((int(1e123)))
-9223372036854775808

ksh93

ksh93 was the first Bourne-like shell to support floating point arithmetic. ksh93 optimises command substitution by not using a pipe or forking when the commands are only builtin commands. So

i=$(printf '%.0f' "$f")

doesn't fork. Or even better:

i=${ printf '%.0f' "$f"; }

which doesn't fork either but also doesn't go all the trouble of creating a fake subshell environment.

You can also do:

i=$((rint(f)))

But beware of:

$ echo "$((rint(1e18)))"
1000000000000000000
$ echo "$((rint(1e19)))"
1e+19

You could also do:

integer i=$((rint(f)))

But like for zsh:

$ integer i=1e18
$ echo "$i"
1000000000000000000
$ integer i=1e19
$ echo "$i"
-9223372036854775808

Beware that ksh93 floating point arithmetic honour the decimal separator setting in the locale (even though , is otherwise a math operator ($((1,2)) would be 6/5 in a French/German... locale, and the same as $((1, 2)), that is 2 in an English locale).

yash

yash also supports floating point arithmetic but doesn't have math functions like ksh93/zsh's rint(). You can convert a number to integer though by using the binary or operator for instance (also works in zsh but not in ksh93). Note however that it truncates the decimal part, it doesn't give you the nearest integer:

$ echo "$((0.237e2 | 0))"
23
$ echo "$((1e19 | 0))"
-9223372036854775808

yash honours the locale's decimal separator on output, but not for the floating point literal constants in its arithmetic expressions, which can cause surprises:

$ LC_ALL=fr_FR.UTF-8 ./yash -c 'a=$((1e-2)); echo $(($a + 1))'
./yash: arithmetic: `,' is not a valid number or operator

It's good in a way in that you can use floating point constants in your scripts that use the period and not have to worry that it will stop working in other locales, but still be able to deal with the numbers as expressed by the user as long as you remember to do:

var=$((10.3)) # and not var=10.3
... "$((a + 0.1))" # and not "$(($a + 0.1))".

printf '%.0f\n' "$((10.3))" # and not printf '%.0f\n' 10.3

A simple way is to use printf:

$ printf "%.3f\n" 0.005000000000
0.005

To remove the leading 0, just parse it out with sed:

$ printf "%.3f\n" 0.005000000000 | sed 's/^0//'
.005