[linux] Round a divided number in Bash

How would I round the result from two divided numbers, e.g.

3/2

As when I do

testOne=$((3/2))

$testOne contains "1" when it should have rounded up to "2" as the answer from 3/2=1.5

This question is related to linux bash math shell rounding

The answer is


I think this should be enough.

$ echo "3/2" | bc 

Good Solution is to get Nearest Round Number is

var=2.5
echo $var | awk '{print int($1+0.5)}'

Logic is simple if the var decimal value is less then .5 then closest value taken is integer value. Well if decimal value is more than .5 then next integer value gets added and since awk then takes only integer part. Issue solved


Following worked for me.

 #!/bin/bash
function float() {
bc << EOF
num = $1;
base = num / 1;
if (((num - base) * 10) > 1 )
    base += 1;
print base;
EOF
echo ""
}

float 3.2

Given a floating point value, we can round it trivially with printf:

# round $1 to $2 decimal places
round() {
    printf "%.{$2:-0}f" "$1"
}

Then,

# do some math, bc style
math() {
    echo "$*" | bc -l
}

$ echo "Pi, to five decimal places, is $(round $(math "4*a(1)") 5)"
Pi, to five decimal places, is 3.14159

Or, to use the original request:

$ echo "3/2, rounded to the nearest integer, is $(round $(math "3/2") 0)"
3/2, rounded to the nearest integer, is 2

If you have integer division of positive numbers which rounds toward zero, then you can add one less than the divisor to the dividend to make it round up.

That is to say, replace X / Y with (X + Y - 1) / Y.

Proof:

  • Case 1: X = k * Y (X is integer multiple of Y): In this case, we have (k * Y + Y - 1) / Y, which splits into (k * Y) / Y + (Y - 1) / Y. The (Y - 1)/Y part rounds to zero, and we are left with a quotient of k. This is exactly what we want: when the inputs are divisible, we want the adjusted calculation to still produce the correct exact quotient.

  • Case 2: X = k * Y + m where 0 < m < Y (X is not a multiple of Y). In this case we have a numerator of k * Y + m + Y - 1, or k * Y + Y + m - 1, and we can write the division out as (k * Y)/Y + Y/Y + (m - 1)/Y. Since 0 < m < Y, 0 <= m - 1 < Y - 1, and so the last term (m - 1)/Y goes to zero. We are left with (k * Y)/Y + Y/Y which work out to k + 1. This shows that the behavior rounds up. If we have an X which is a k multiple of Y, if we add just 1 to it, the division rounds up to k + 1.

But this rounding is extremely opposite; all inexact divisions go away from zero. How about something in between?

That can be achieved by "priming" the numerator with Y/2. Instead of X/Y, calculate (X+Y/2)/Y. Instead of proof, let's go empirical on this one:

$ round()
> {
>   echo $((($1 + $2/2) / $2))
> }
$ round 4 10
0
$ round 5 10
1
$ round 6 10
1
$ round 9 10
1
$ round 10 10
1
$ round 14 10
1
$ round 15 10
2

Whenever the divisor is an even, positive number, if the numerator is congruent to half that number, it rounds up, and rounds down if it is one less than that.

For instance, round 6 12 goes to 1, as do all values which are equal to 6, modulo 12, like 18 (which goes to 2) and so on. round 5 12 goes down to 0.

For odd numbers, the behavior is correct. None of the exact rational numbers are midway between two consecutive multiples. For instance, with a denominator of 11 we have 5/11 < 5.5/11 (exact middle) < 6/11; and round 5 11 rounds down, whereas round 6 11 rounds up.


To round up you can use modulus.

The second part of the equation will add to True if there's a remainder. (True = 1; False = 0)

ex: 3/2

answer=$(((3 / 2) + (3 % 2 > 0)))
echo $answer
2

ex: 100 / 2

answer=$(((100 / 2) + (100 % 2 > 0)))
echo $answer
50

ex: 100 / 3

answer=$(((100 / 3) + (100 % 3 > 0)))
echo $answer
34

bash will not give you correct result of 3/2 since it doesn't do floating pt maths. you can use tools like awk

$ awk  'BEGIN { rounded = sprintf("%.0f", 3/2); print rounded }'
2

or bc

$ printf "%.0f" $(echo "scale=2;3/2" | bc)
2

If the decimal separator is comma (eg : LC_NUMERIC=fr_FR.UTF-8, see here):

$ printf "%.0f" $(echo "scale=2;3/2" | bc) 
bash: printf: 1.50: nombre non valable
0

Substitution is needed for ghostdog74 solution :

$ printf "%.0f" $(echo "scale=2;3/2" | bc | sed 's/[.]/,/')
2

or

$ printf "%.0f" $(echo "scale=2;3/2" | bc | tr '.' ',')
2

Another solution is to do the division within a python command. For example:

$ numerator=90
$ denominator=7
$ python -c "print (round(${numerator}.0 / ${denominator}.0))"

Seems less archaic to me than using awk.


Examples related to linux

grep's at sign caught as whitespace How to prevent Google Colab from disconnecting? "E: Unable to locate package python-pip" on Ubuntu 18.04 How to upgrade Python version to 3.7? Install Qt on Ubuntu Get first line of a shell command's output Cannot connect to the Docker daemon at unix:/var/run/docker.sock. Is the docker daemon running? Run bash command on jenkins pipeline How to uninstall an older PHP version from centOS7 How to update-alternatives to Python 3 without breaking apt?

Examples related to bash

Comparing a variable with a string python not working when redirecting from bash script Zipping a file in bash fails How do I prevent Conda from activating the base environment by default? Get first line of a shell command's output Fixing a systemd service 203/EXEC failure (no such file or directory) /bin/sh: apt-get: not found VSCode Change Default Terminal Run bash command on jenkins pipeline How to check if the docker engine and a docker container are running? How to switch Python versions in Terminal?

Examples related to math

How to do perspective fixing? How to pad a string with leading zeros in Python 3 How can I use "e" (Euler's number) and power operation in python 2.7 numpy max vs amax vs maximum Efficiently getting all divisors of a given number Using atan2 to find angle between two vectors How to calculate percentage when old value is ZERO Finding square root without using sqrt function? Exponentiation in Python - should I prefer ** operator instead of math.pow and math.sqrt? How do I get the total number of unique pairs of a set in the database?

Examples related to shell

Comparing a variable with a string python not working when redirecting from bash script Get first line of a shell command's output How to run shell script file using nodejs? Run bash command on jenkins pipeline Way to create multiline comments in Bash? How to do multiline shell script in Ansible How to check if a file exists in a shell script How to check if an environment variable exists and get its value? Curl to return http status code along with the response docker entrypoint running bash script gets "permission denied"

Examples related to rounding

How to round a numpy array? How to pad a string with leading zeros in Python 3 Python - round up to the nearest ten How to round a Double to the nearest Int in swift? Using Math.round to round to one decimal place? How to round to 2 decimals with Python? Rounding to 2 decimal places in SQL Rounding to two decimal places in Python 2.7? Round a floating-point number down to the nearest integer? Rounding BigDecimal to *always* have two decimal places