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[/] [socgen/] [trunk/] [tools/] [math/] [arith_parser] - Rev 134

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#!/usr/bin/perl 
use strict;
use warnings;
use Data::Dumper;
# this code can be re-written without any regex/eval,their use is purely for shortening the code


use constant BASE_PRIORITY => 
{
        NUMBER          => 2,
        OPEN_PARA       => 8,
        CLOSED_PARA => 8,
        ADD                     => 4,
        SUB                     => 4,
        MUL                     => 7,
        DIV                     => 7,
        POW                     => 9,
};

use constant DEPTH_BONUS => 10;

my $exp = $ARGV[0];

#my $exp = "5*(12/(32+4))-10";
#my $exp = "3**(6-1*4)**2";
#my $exp = -3+(-1-2);
#my $exp = (3-(4+6))/2;

my $depth = 0;
my @terms;



sub delete_at { # delete the term at the index equal to the parameter given to this function
        return shift @terms if $_[0] == 0;
        return pop @terms if $_[0] == (@terms-1);
        my $ret = $terms[ $_[0] ];
        @terms = (
                @terms[0..$_[0]-1],
                @terms[$_[0]+1..@terms-1],
        );
        return $ret;
}

sub insert_at { # inserts a term exactly before the index given as parameter
        @terms = (
                @terms[0..$_[0]-1],
                $_[1],
                @terms[$_[0]..@terms-1],
        );

}


sub firstPass {# this builds up the @terms for later use
        while( $exp =~ s/^(\-?\d+|\*\*|\*|\/|\+|\-|\(|\))// ) {
                my $type=$1;
                my $term=$1;
                if( @terms>0 &&  $terms[@terms - 1 ]->{type} eq 'NUMBER' && $term =~ /\-\d+/ ) {
                        #see if we currently have a negative number,see if before we had a number
                        #this means that we're on the wrong track and that - is actually an operator here
                        #and not the sign for a negative number
                        $exp=$term.$exp;
                        $exp=~s/^-//;
                        $type = "SUB";
                        $term = '-';
        #               print "EXP $exp \n";
                } else {
                        $type =~ s/\-?\d+/NUMBER/;
                };
                $type =~ s/\(/OPEN_PARA/;
                $type =~ s/\)/CLOSED_PARA/;
                $type =~ s/\+/ADD/;
                $type =~ s/\*\*/POW/;
                $type =~ s/\*/MUL/;
                $type =~ s/\//DIV/;
                $type =~ s/\-$/SUB/;
                my ($is_term_para) = $type =~ /OPEN_PARA|CLOSED_PARA/; # this flag will tell us wether the term is or is not a paranthesis 
                $depth++ if $type eq 'OPEN_PARA';  # if we encounter an open paranthesis we increase depth
                $depth-- if $type eq 'CLOSED_PARA';# closed paranthesis we decrease it
                push @terms,
                {
                        type            => $type,
                        term            => $term,
                        priority        => BASE_PRIORITY->{$type} + $depth*DEPTH_BONUS
                }
                unless $is_term_para; # we leave out the paranthesis because we no longer need them(their purpose
                                                          # was to provide priority information for us)
        };
}


sub getPrioritary { # gets most prioritary 3 elements in the current expression

        my @sIndexes = sort { -1 * ( $terms[$a]->{priority} <=> $terms[$b]->{priority} ); } 0..(@terms-1) ;

        my $i = 0; # the index in @sIndexes
        my $middleMaxPrio = $sIndexes[$i];

        while( $terms[$middleMaxPrio]->{type} eq 'NUMBER' ) { # if our selected maximum priority element is not a number search for the next most prioritized that is a number
#               print "[DEBUG] $terms[$middleMaxPrio]->{type}";
                $middleMaxPrio = $sIndexes[++$i];
        };

        my $leftNearMax   = $middleMaxPrio -1; # we take the left of $middleMaxPrio
        my $rightNearMax  = $middleMaxPrio +1; # and the right of it , becuase these two are surely operands

        my @selectedTerms = map { delete_at $_  } ( $rightNearMax , $middleMaxPrio , $leftNearMax ); # we delete them in inverse order to not alter the stack badly

        return {
                selected        => [ @selectedTerms ],
                insertIndex     => $leftNearMax,
                maxPriority     => $selectedTerms[1]->{priority}, # the middle element will be surely an operator so it will have maximum priority
        };
}


#---------------------------------------------------------------------------------------------------------------------

firstPass;

while( @terms > 1 ) {
#       print "DEBUG ".Dumper [@terms];

        my $data = getPrioritary;
        my @elems = map { $_->{term} } @{ $data->{selected} };
        my $expr = sprintf "%s %s %s", reverse @elems;
        my $result = eval($expr); # the eval here has just been used for shortening the code,it could have very well been a simple switch on $elems[1]

#       print "DEBUG [$expr]\n";

        insert_at 
        $data->{insertIndex},
        {
                type    => 'NUMBER',
                term    => $result,
                priority=> $data->{maxPriority} - DEPTH_BONUS #we have calculated what was probably a paranthesis therefore we substrac a depth_bonus
        };
        
};


my $result_out =$terms[0]->{term};

print "$result_out\n";

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