How to generate random number in Bash?

Question

How to generate a random number within a range in Bash?

Answer 1

I have taken a few of these ideas and made a function that should perform quickly if lots of random numbers are required.

calling od is expensive if you need lots of random numbers. Instead I call it once and store 1024 random numbers from /dev/urandom. When rand is called, the last random number is returned and scaled. It is then removed from cache. When cache is empty, another 1024 random numbers is read.

Example:

rand 10; echo $RET

Returns a random number in RET between 0 and 9 inclusive.

declare -ia RANDCACHE
declare -i RET RAWRAND=$(( (1<<32)-1 ))

function rand(){  # pick a random number from 0 to N-1. Max N is 2^32
  local -i N=$1
  [[ ${#RANDCACHE[*]} -eq 0 ]] && { RANDCACHE=( $(od -An -tu4 -N1024 /dev/urandom) ); }  # refill cache
  RET=$(( (RANDCACHE[-1]*N+1)/RAWRAND ))  # pull last random number and scale
  unset RANDCACHE[${#RANDCACHE[*]}-1]     # pop read random number
};

# test by generating a lot of random numbers, then effectively place them in bins and count how many are in each bin.

declare -i c; declare -ia BIN

for (( c=0; c<100000; c++ )); do
  rand 10
  BIN[RET]+=1  # add to bin to check distribution
done

for (( c=0; c<10; c++ )); do
  printf "%d %d\n" $c ${BIN[c]} 
done

UPDATE: That does not work so well for all N. It also wastes random bits if used with small N. Noting that (in this case) a 32 bit random number has enough entropy for 9 random numbers between 0 and 9 (10*9=1,000,000,000 <= 2*32) we can extract multiple random numbers from each 32 random source value.

#!/bin/bash

declare -ia RCACHE

declare -i RET             # return value
declare -i ENT=2           # keep track of unused entropy as 2^(entropy)
declare -i RND=RANDOM%ENT  # a store for unused entropy - start with 1 bit

declare -i BYTES=4         # size of unsigned random bytes returned by od
declare -i BITS=8*BYTES    # size of random data returned by od in bits
declare -i CACHE=16        # number of random numbers to cache
declare -i MAX=2**BITS     # quantum of entropy per cached random number
declare -i c

function rand(){  # pick a random number from 0 to 2^BITS-1
  [[ ${#RCACHE[*]} -eq 0 ]] && { RCACHE=( $(od -An -tu$BYTES -N$CACHE /dev/urandom) ); }  # refill cache - could use /dev/random if CACHE is small
  RET=${RCACHE[-1]}              # pull last random number and scale
  unset RCACHE[${#RCACHE[*]}-1]  # pop read random number
};

function randBetween(){
  local -i N=$1
  [[ ENT -lt N ]] && {  # not enough entropy to supply ln(N)/ln(2) bits
    rand; RND=RET       # get more random bits
    ENT=MAX             # reset entropy
  }
  RET=RND%N  # random number to return
  RND=RND/N  # remaining randomness
  ENT=ENT/N  # remaining entropy
};

declare -ia BIN

for (( c=0; c<100000; c++ )); do
  randBetween 10
  BIN[RET]+=1
done

for c in ${BIN[*]}; do
  echo $c
done