LDP/LDP/guide/docbook/abs-guide/fibo.sh

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#!/bin/bash
# fibo.sh : Fibonacci sequence (recursive)
# Author: M. Cooper
# License: GPL3
# ----------algorithm--------------
# Fibo(0) = 0
# Fibo(1) = 1
# else
# Fibo(j) = Fibo(j-1) + Fibo(j-2)
# ---------------------------------
MAXTERM=15 # Number of terms (+1) to generate.
MINIDX=2 # If idx is less than 2, then Fibo(idx) = idx.
Fibonacci ()
{
idx=$1 # Doesn't need to be local. Why not?
if [ "$idx" -lt "$MINIDX" ]
then
echo "$idx" # First two terms are 0 1 ... see above.
else
(( --idx )) # j-1
term1=$( Fibonacci $idx ) # Fibo(j-1)
(( --idx )) # j-2
term2=$( Fibonacci $idx ) # Fibo(j-2)
echo $(( term1 + term2 ))
fi
# An ugly, ugly kludge.
# The more elegant implementation of recursive fibo in C
#+ is a straightforward translation of the algorithm in lines 7 - 10.
}
for i in $(seq 0 $MAXTERM)
do # Calculate $MAXTERM+1 terms.
FIBO=$(Fibonacci $i)
echo -n "$FIBO "
done
# 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610
# Takes a while, doesn't it? Recursion in a script is slow.
echo
exit 0