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jt_eaton |
#!/usr/bin/perl
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use strict;
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use warnings;
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use Data::Dumper;
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# this code can be re-written without any regex/eval,their use is purely for shortening the code
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use constant BASE_PRIORITY =>
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{
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NUMBER => 2,
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OPEN_PARA => 8,
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CLOSED_PARA => 8,
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ADD => 4,
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SUB => 4,
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MUL => 7,
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DIV => 7,
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POW => 9,
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};
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use constant DEPTH_BONUS => 10;
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my $exp = $ARGV[0];
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#my $exp = "5*(12/(32+4))-10";
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#my $exp = "3**(6-1*4)**2";
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#my $exp = -3+(-1-2);
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#my $exp = (3-(4+6))/2;
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my $depth = 0;
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my @terms;
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sub delete_at { # delete the term at the index equal to the parameter given to this function
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return shift @terms if $_[0] == 0;
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return pop @terms if $_[0] == (@terms-1);
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my $ret = $terms[ $_[0] ];
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@terms = (
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@terms[0..$_[0]-1],
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@terms[$_[0]+1..@terms-1],
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);
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return $ret;
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}
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sub insert_at { # inserts a term exactly before the index given as parameter
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@terms = (
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@terms[0..$_[0]-1],
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$_[1],
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@terms[$_[0]..@terms-1],
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);
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}
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sub firstPass {# this builds up the @terms for later use
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while( $exp =~ s/^(\-?\d+|\*\*|\*|\/|\+|\-|\(|\))// ) {
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my $type=$1;
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my $term=$1;
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if( @terms>0 && $terms[@terms - 1 ]->{type} eq 'NUMBER' && $term =~ /\-\d+/ ) {
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#see if we currently have a negative number,see if before we had a number
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#this means that we're on the wrong track and that - is actually an operator here
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#and not the sign for a negative number
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$exp=$term.$exp;
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$exp=~s/^-//;
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$type = "SUB";
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$term = '-';
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# print "EXP $exp \n";
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} else {
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$type =~ s/\-?\d+/NUMBER/;
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};
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$type =~ s/\(/OPEN_PARA/;
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$type =~ s/\)/CLOSED_PARA/;
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$type =~ s/\+/ADD/;
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$type =~ s/\*\*/POW/;
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$type =~ s/\*/MUL/;
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$type =~ s/\//DIV/;
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$type =~ s/\-$/SUB/;
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my ($is_term_para) = $type =~ /OPEN_PARA|CLOSED_PARA/; # this flag will tell us wether the term is or is not a paranthesis
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$depth++ if $type eq 'OPEN_PARA'; # if we encounter an open paranthesis we increase depth
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$depth-- if $type eq 'CLOSED_PARA';# closed paranthesis we decrease it
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push @terms,
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{
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type => $type,
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term => $term,
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priority => BASE_PRIORITY->{$type} + $depth*DEPTH_BONUS
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}
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unless $is_term_para; # we leave out the paranthesis because we no longer need them(their purpose
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# was to provide priority information for us)
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};
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}
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sub getPrioritary { # gets most prioritary 3 elements in the current expression
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my @sIndexes = sort { -1 * ( $terms[$a]->{priority} <=> $terms[$b]->{priority} ); } 0..(@terms-1) ;
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my $i = 0; # the index in @sIndexes
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my $middleMaxPrio = $sIndexes[$i];
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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
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# print "[DEBUG] $terms[$middleMaxPrio]->{type}";
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$middleMaxPrio = $sIndexes[++$i];
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};
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my $leftNearMax = $middleMaxPrio -1; # we take the left of $middleMaxPrio
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my $rightNearMax = $middleMaxPrio +1; # and the right of it , becuase these two are surely operands
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my @selectedTerms = map { delete_at $_ } ( $rightNearMax , $middleMaxPrio , $leftNearMax ); # we delete them in inverse order to not alter the stack badly
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return {
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selected => [ @selectedTerms ],
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insertIndex => $leftNearMax,
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maxPriority => $selectedTerms[1]->{priority}, # the middle element will be surely an operator so it will have maximum priority
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};
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}
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#---------------------------------------------------------------------------------------------------------------------
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firstPass;
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while( @terms > 1 ) {
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# print "DEBUG ".Dumper [@terms];
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my $data = getPrioritary;
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my @elems = map { $_->{term} } @{ $data->{selected} };
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my $expr = sprintf "%s %s %s", reverse @elems;
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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 $elems[1]
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# print "DEBUG [$expr]\n";
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insert_at
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$data->{insertIndex},
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{
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type => 'NUMBER',
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term => $result,
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priority=> $data->{maxPriority} - DEPTH_BONUS #we have calculated what was probably a paranthesis therefore we substrac a depth_bonus
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};
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};
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my $result_out =$terms[0]->{term};
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print "$result_out\n";
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1
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