A Fun Perfect Square Checker Using Integer Arithmetic Only... ;o) Post: 302952547

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Operating Systems OS X (Apple) A Fun Perfect Square Checker Using Integer Arithmetic Only... ;o) Post 302952547 by wisecracker on Wednesday 19th of August 2015 05:04:20 PM

08-19-2015

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A Fun Perfect Square Checker Using Integer Arithmetic Only... ;o)

A recent Python upload on another site gave me the inspiration to do an unusual bash version...

This is a little tongue-in-cheek but an enjoyable bit of fun.

It took around 11 seconds to prove 90000000000 had a perfect square of 300000...

It is a stand alone program and has a degree of INPUT error correction...

It was done on a MacBook Pro, OSX 10.7.5, default bash terminal and should work on Linux and UNIX flavours but it is untested...

Enjoy finding simple solutions to often very difficult problems...

Bazza...

Code:

#!/bin/bash
# perfect_square <number>
number=$1
if [ "$number" -eq "$number" ] > /dev/null 2>&1 
then
	if [ $number -lt 0 ]
	then
		echo "Warning! Integer is negative!!!"
		echo "Set input integer to the DEMO value of 99..."
		number=99
	fi
else
	echo "Invalid Argument! Set input integer to the DEMO value of 100..."
	number=100
fi
series=1
square=1
root=1
while true
do
	if [ $square -le $number ]
	then
		if [ $square -eq $number ]
		then
			echo "$number is the perfect square of $root..."
			exit 0
		fi
		root=$((root+1))
		series=$((series+2))
		square=$((square+series))
	else
		echo "Integer $number is not a perfect square..."
		exit 1
	fi
done
exit 0
# Last login: Tue Sep 16 20:12:27 on ttys000
# AMIGA:barrywalker~> chmod 755 perfect_square
# AMIGA:barrywalker~> ./perfect_square ierooeirt
# Invalid Argument! Set input integer to the DEMO value of 100...
# 100 is the perfect square of 10...
# AMIGA:barrywalker~> ./perfect_square -345
# Warning! Integer is negative!!!
# Set input integer to the DEMO value of 99...
# Integer 99 is not a perfect square...
# AMIGA:barrywalker~> ./perfect_square 0
# Integer 0 is not a perfect square...
# AMIGA:barrywalker~> ./perfect_square 123.9
# Invalid Argument! Set input integer to the DEMO value of 100...
# 100 is the perfect square of 10...
# AMIGA:barrywalker~> ./perfect_square 625
# 625 is the perfect square of 25...
# AMIGA:barrywalker~> ./perfect_square 1
# 1 is the perfect square of 1...
# AMIGA:barrywalker~> ./perfect_square 11111
# Integer 11111 is not a perfect square...
# AMIGA:barrywalker~> ./perfect_square oiwero11234ldkf
# Invalid Argument! Set input integer to the DEMO value of 100...
# 100 is the perfect square of 10...
# AMIGA:barrywalker~> ./perfect_square -0.0
# Invalid Argument! Set input integer to the DEMO value of 100...
# 100 is the perfect square of 10...
# AMIGA:barrywalker~> ./perfect_square -1.25
# Invalid Argument! Set input integer to the DEMO value of 100...
# 100 is the perfect square of 10...
# AMIGA:barrywalker~> ./perfect_square -1
# Warning! Integer is negative!!!
# Set input integer to the DEMO value of 99...
# Integer 99 is not a perfect square...
# AMIGA:barrywalker~> _

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slabad

slabad.f(3)							      LAPACK							       slabad.f(3)

NAME

       slabad.f -

SYNOPSIS

   Functions/Subroutines
       subroutine slabad (SMALL, LARGE)
	   SLABAD

Function/Subroutine Documentation
   subroutine slabad (realSMALL, realLARGE)
       SLABAD

       Purpose:

	    SLABAD takes as input the values computed by SLAMCH for underflow and
	    overflow, and returns the square root of each of these values if the
	    log of LARGE is sufficiently large.  This subroutine is intended to
	    identify machines with a large exponent range, such as the Crays, and
	    redefine the underflow and overflow limits to be the square roots of
	    the values computed by SLAMCH.  This subroutine is needed because
	    SLAMCH does not compensate for poor arithmetic in the upper half of
	    the exponent range, as is found on a Cray.

       Parameters:
	   SMALL

		     SMALL is REAL
		     On entry, the underflow threshold as computed by SLAMCH.
		     On exit, if LOG10(LARGE) is sufficiently large, the square
		     root of SMALL, otherwise unchanged.

	   LARGE

		     LARGE is REAL
		     On entry, the overflow threshold as computed by SLAMCH.
		     On exit, if LOG10(LARGE) is sufficiently large, the square
		     root of LARGE, otherwise unchanged.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Definition at line 75 of file slabad.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       slabad.f(3)