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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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