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# ABSTRACT Math Notation for Postfix and Infix Expressions |
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############################################################################### |
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## ## |
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## Copyright (c) 2022 - by Carlos Celso. ## |
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## All rights reserved. ## |
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## ## |
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## This package is free software; can, at your discretion, also be used, ## |
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## modified and redistributed under the terms of the "GPLv3 - GNU Library ## |
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## General Public License". ## |
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## ## |
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############################################################################### |
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package Math::Notation::PostfixInfix; |
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use strict; |
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use Exporter; |
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use vars qw( @ISA @EXPORT @EXPORT_OK %EXPORT_TAGS $VERSION ); |
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our @ISA = qw( Exporter ); |
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our @EXPORT = qw( new Infix_to_Postfix Postfix_to_Infix Postfix_Test ); |
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our @EXPORT_OK = qw( new Infix_to_Postfix Postfix_to_Infix Postfix_Test ); |
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our %EXPORT_TAGS = ( all => [@EXPORT_OK] ); |
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our $VERSION = "2022.218.2"; |
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1; |
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############################################################################### |
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# create object |
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sub new() |
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{ |
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my $class = shift; $class = ref($class) || $class || 'Math::Notation::PostfixInfix'; |
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## save options |
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# |
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my $self = {@_}; |
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# |
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## new object |
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# |
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my $bless = bless($self,$class); |
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return 0 if (!defined($bless)); |
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$bless; |
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} |
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############################################################################### |
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# polish test |
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sub Postfix_Test() |
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{ |
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my $self = shift; |
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my $array = shift; |
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my $call = shift; |
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my @opts = @_; |
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my @rc; |
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my $is_code = (ref($call) eq "CODE"); |
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## scan and test the rules |
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# |
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for (my $ix=0; $ix < @{$array}; $ix++) |
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{ |
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my $rule = $array->[$ix]; |
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## make 'or' operator |
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# |
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if ($rule eq "|") |
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{ |
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my $rc1 = pop(@rc); |
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my $rc2 = pop(@rc); |
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push(@rc,($rc1 | $rc2)+0); |
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} |
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## make 'and' operator |
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# |
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elsif ($rule eq "&") |
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{ |
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my $rc1 = pop(@rc); |
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my $rc2 = pop(@rc); |
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push(@rc,($rc1 & $rc2)+0); |
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} |
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## parsing format val1 [operand] val2 |
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# |
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elsif (($rule =~ /^(.*)\s+=\s+(.*)$/) || ($rule =~ /^(.*)\s+==\s+(.*)$/) || ($rule =~ /^(.*)\s+eq\s+(.*)$/i)) |
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{ |
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($is_code) ? push(@rc,&{$call}($rule,"eq",$1,$2,@opts)+0) : push(@rc,($1 == $2)+0); |
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} |
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elsif (($rule =~ /^(.*)\s+!=\s+(.*)$/) || ($rule =~ /^(.*)\s+<>\s+(.*)$/) ||( $rule =~ /^(.*)\s+ne\s+(.*)$/i)) |
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{ |
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($is_code) ? push(@rc,&{$call}($rule,"ne",$1,$2,@opts)+0) : push(@rc,($1 != $2)+0); |
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} |
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elsif (($rule =~ /^(.*)\s+>\s+(.*)$/) || ($rule =~ /^(.*)\s+gt\s+(.*)$/)) |
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{ |
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($is_code) ? push(@rc,&{$call}($rule,"gt",$1,$2,@opts)+0) : push(@rc,($1 > $2)+0); |
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} |
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elsif (($rule =~ /^(.*)\s+<\s+(.*)$/) || ($rule =~ /^(.*)\s+lt\s+(.*)$/)) |
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{ |
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($is_code) ? push(@rc,&{$call}($rule,"lt",$1,$2,@opts)+0) : push(@rc,($1 < $2)+0); |
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} |
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elsif (($rule =~ /^(.*)\s+>=\s+(.*)$/) || ($rule =~ /^(.*)\s+ge\s+(.*)$/)) |
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{ |
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($is_code) ? push(@rc,&{$call}($rule,"ge",$1,$2,@opts)+0) : push(@rc,($1 >= $2)+0); |
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} |
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elsif (($rule =~ /^(.*)\s+<=\s+(.*)$/) || ($rule =~ /^(.*)\s+le\s+(.*)$/)) |
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{ |
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($is_code) ? push(@rc,&{$call}($rule,"le",$1,$2,@opts)+0) : push(@rc,($1 <= $2)+0); |
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} |
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## use nom parsed format |
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# |
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else |
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{ |
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($is_code) ? push(@rc,&{$call}($rule,"*",0,0,@opts)+0) : push(@rc,1); |
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} |
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} |
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foreach my $rc(@rc) |
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{ |
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next if ($rc); |
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return 0; |
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} |
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return 1; |
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} |
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############################################################################### |
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# convert polish to text format |
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sub Postfix_to_Infix() |
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{ |
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my $self = shift; |
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my $array = shift; |
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my @temp; |
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for (my $ix=0; $ix < @{$array}; $ix++) |
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{ |
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my $rule = $array->[$ix]; |
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if ($rule eq "|") |
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{ |
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my $st2 = pop(@temp); |
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my $st1 = pop(@temp); |
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($ix+1 >= @{$array}) ? push(@temp,$st1." or ".$st2) : push(@temp,"(".$st1." or ".$st2.")"); |
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} |
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elsif ($rule eq "&") |
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{ |
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my $st2 = pop(@temp); |
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my $st1 = pop(@temp); |
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push(@temp,$st1." and ".$st2); |
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} |
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else |
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{ |
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push(@temp,$rule); |
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} |
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} |
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for (my $ix=1; $ix<@temp; $ix++) |
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{ |
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my $st2 = pop(@temp); |
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my $st1 = pop(@temp); |
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push(@temp,$st1." and ".$st2); |
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} |
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return $Math::Notation::PostfixInfix{unpolish} = join(" ",@temp); |
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} |
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############################################################################## |
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# convert text to polish format |
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sub Infix_to_Postfix |
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{ |
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my $self = shift; |
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my $txt = shift; |
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@{$Math::Notation::PostfixInfix{polish}} = (); |
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@{$Math::Notation::PostfixInfix{operand}{0}} = (); |
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$Math::Notation::PostfixInfix{square} = 0; |
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if (($txt =~ /^(and|or|\&\&|\|\|)/) || ($txt =~ /^\s+(and|or|\&\&|\|\|)/) || ($txt =~ /(and|or|\&\&|\|\|)$/) || ($txt =~ /(and|or|\&\&|\|\|)\s+$/)) |
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{ |
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$! = "and/or at begin/end detected"; |
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} |
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else {Math::Notation::PostfixInfix->_Parse($txt);} |
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return @{$Math::Notation::PostfixInfix{polish}}; |
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} |
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############################################################################## |
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# |
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sub _Parse() |
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{ |
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my $self = shift; |
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14
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my $txt = shift; $txt =~ s/^\s+|\s+$//g; |
|
10
|
|
|
|
|
41
|
|
194
|
|
|
|
|
|
|
|
195
|
10
|
|
|
|
|
21
|
$Math::Notation::PostfixInfix{text} = \$txt; |
196
|
|
|
|
|
|
|
|
197
|
10
|
|
|
|
|
12
|
my $tmp; |
198
|
10
|
|
|
|
|
19
|
while ($txt) |
199
|
|
|
|
|
|
|
{ |
200
|
48
|
100
|
|
|
|
88
|
if ($txt =~ /^\((.*)/) {Math::Notation::PostfixInfix->_ParseSquareNew(); $txt=$1;} |
|
1
|
100
|
|
|
|
4
|
|
|
1
|
|
|
|
|
3
|
|
201
|
1
|
|
|
|
|
3
|
elsif ($txt =~ /^\)(.*)/) {Math::Notation::PostfixInfix->_ParseSquareEnd(); $txt=$1;} |
|
1
|
|
|
|
|
3
|
|
202
|
|
|
|
|
|
|
else |
203
|
|
|
|
|
|
|
{ |
204
|
46
|
|
|
|
|
142
|
my ($a1,$b1) = ($txt =~ /^(.*?)\s+(.*)$/); |
205
|
46
|
|
|
|
|
79
|
my ($a2,$b2,$c2) = ($txt =~ /^(.*?)(\(\))(.*)$/); |
206
|
|
|
|
|
|
|
|
207
|
46
|
0
|
66
|
|
|
120
|
if ($a1 && $a2) { ($tmp,$txt) = (length($a1) < length($a2)) ? ($a1,$b1) : ($a2,"(".$b2.")".$c2); } |
|
0
|
50
|
|
|
|
0
|
|
|
|
50
|
|
|
|
|
|
|
|
100
|
|
|
|
|
|
208
|
0
|
|
|
|
|
0
|
elsif ($b2) { ($tmp,$txt) = ($a2,"(".$b2.")".$c2); } |
209
|
36
|
|
|
|
|
58
|
elsif ($b1) { ($tmp,$txt) = ($a1,$b1); } |
210
|
10
|
|
|
|
|
18
|
else { ($tmp,$txt) = ($txt,""); } |
211
|
|
|
|
|
|
|
|
212
|
46
|
100
|
|
|
|
80
|
($tmp,$txt) = ($1,")".$txt) if ($tmp =~ /(.*)\)$/); |
213
|
46
|
100
|
|
|
|
99
|
if ($tmp =~ /(^and|^or|^\&\&|^\|\|)/) |
214
|
|
|
|
|
|
|
{ |
215
|
16
|
|
|
|
|
27
|
Math::Notation::PostfixInfix->_ParseOperator($tmp); |
216
|
|
|
|
|
|
|
} |
217
|
|
|
|
|
|
|
else |
218
|
|
|
|
|
|
|
{ |
219
|
30
|
|
|
|
|
51
|
Math::Notation::PostfixInfix->_ParseOperand($tmp); |
220
|
|
|
|
|
|
|
} |
221
|
|
|
|
|
|
|
} |
222
|
|
|
|
|
|
|
} |
223
|
10
|
50
|
|
|
|
19
|
if ($Math::Notation::PostfixInfix{square} > 0) |
224
|
|
|
|
|
|
|
{ |
225
|
0
|
|
|
|
|
0
|
print STDERR "Square mismatch, too many open ($Math::Notation::PostfixInfix{square})\n"; |
226
|
0
|
|
|
|
|
0
|
exit(-1); |
227
|
|
|
|
|
|
|
} |
228
|
10
|
|
|
|
|
20
|
while ($Math::Notation::PostfixInfix{square} > -1) |
229
|
|
|
|
|
|
|
{ |
230
|
10
|
|
|
|
|
12
|
while (@{$Math::Notation::PostfixInfix{operand}{$Math::Notation::PostfixInfix{square}}}) |
|
22
|
|
|
|
|
39
|
|
231
|
|
|
|
|
|
|
{ |
232
|
12
|
|
|
|
|
16
|
$Math::Notation::PostfixInfix{last} = 1; |
233
|
12
|
|
|
|
|
12
|
Math::Notation::PostfixInfix->_ParseOperand(pop(@{$Math::Notation::PostfixInfix{operand}{$Math::Notation::PostfixInfix{square}}})); |
|
12
|
|
|
|
|
23
|
|
234
|
|
|
|
|
|
|
} |
235
|
10
|
|
|
|
|
23
|
$Math::Notation::PostfixInfix{square}--; |
236
|
|
|
|
|
|
|
} |
237
|
|
|
|
|
|
|
} |
238
|
|
|
|
|
|
|
|
239
|
|
|
|
|
|
|
############################################################################## |
240
|
|
|
|
|
|
|
# |
241
|
|
|
|
|
|
|
|
242
|
|
|
|
|
|
|
sub _ParseOperator() |
243
|
|
|
|
|
|
|
{ |
244
|
16
|
|
|
16
|
|
36
|
my $self = shift; |
245
|
16
|
|
|
|
|
19
|
my $oper = shift; |
246
|
|
|
|
|
|
|
|
247
|
16
|
100
|
|
|
|
50
|
if ($oper =~ /^and$/i) { $oper = "&"; } |
|
8
|
100
|
|
|
|
12
|
|
|
|
100
|
|
|
|
|
|
|
|
50
|
|
|
|
|
|
248
|
1
|
|
|
|
|
2
|
elsif ($oper =~ /^\&\&$/i) { $oper = "&"; } |
249
|
6
|
|
|
|
|
9
|
elsif ($oper =~ /^or$/i) { $oper = "|"; } |
250
|
1
|
|
|
|
|
2
|
elsif ($oper =~ /^\|\|$/i) { $oper = "|"; } |
251
|
|
|
|
|
|
|
|
252
|
16
|
|
|
|
|
19
|
my $no = @{$Math::Notation::PostfixInfix{operand}{$Math::Notation::PostfixInfix{square}}}; |
|
16
|
|
|
|
|
29
|
|
253
|
16
|
100
|
100
|
|
|
42
|
if ($no && $Math::Notation::PostfixInfix{operand}{$Math::Notation::PostfixInfix{square}}->[$no-1] eq "&") |
254
|
|
|
|
|
|
|
{ |
255
|
3
|
|
|
|
|
5
|
$Math::Notation::PostfixInfix{last} = 1; |
256
|
3
|
|
|
|
|
4
|
Math::Notation::PostfixInfix->_ParseOperand(pop(@{$Math::Notation::PostfixInfix{operand}{$Math::Notation::PostfixInfix{square}}})); |
|
3
|
|
|
|
|
7
|
|
257
|
|
|
|
|
|
|
} |
258
|
16
|
|
|
|
|
19
|
push(@{$Math::Notation::PostfixInfix{operand}{$Math::Notation::PostfixInfix{square}}},$oper); |
|
16
|
|
|
|
|
23
|
|
259
|
16
|
|
|
|
|
32
|
$Math::Notation::PostfixInfix{last} = 1; |
260
|
|
|
|
|
|
|
} |
261
|
|
|
|
|
|
|
|
262
|
|
|
|
|
|
|
############################################################################## |
263
|
|
|
|
|
|
|
# |
264
|
|
|
|
|
|
|
|
265
|
|
|
|
|
|
|
sub _ParseOperand() |
266
|
|
|
|
|
|
|
{ |
267
|
46
|
|
|
46
|
|
56
|
my $self = shift; |
268
|
46
|
|
|
|
|
57
|
my $info = shift; |
269
|
|
|
|
|
|
|
|
270
|
46
|
100
|
100
|
|
|
89
|
if ($Math::Notation::PostfixInfix{last} || @{$Math::Notation::PostfixInfix{polish}} == 0) |
|
14
|
|
|
|
|
37
|
|
271
|
|
|
|
|
|
|
{ |
272
|
42
|
|
|
|
|
49
|
push(@{$Math::Notation::PostfixInfix{polish}},$info); |
|
42
|
|
|
|
|
76
|
|
273
|
42
|
|
|
|
|
86
|
$Math::Notation::PostfixInfix{last} = 0; |
274
|
|
|
|
|
|
|
} |
275
|
4
|
|
|
|
|
7
|
else { $Math::Notation::PostfixInfix{polish}->[@{$Math::Notation::PostfixInfix{polish}}-1] .= " ".$info; } |
|
4
|
|
|
|
|
12
|
|
276
|
|
|
|
|
|
|
|
277
|
|
|
|
|
|
|
} |
278
|
|
|
|
|
|
|
|
279
|
|
|
|
|
|
|
############################################################################## |
280
|
|
|
|
|
|
|
# |
281
|
|
|
|
|
|
|
|
282
|
|
|
|
|
|
|
sub _ParseSquareNew() |
283
|
|
|
|
|
|
|
{ |
284
|
1
|
|
|
1
|
|
2
|
my $self = shift; |
285
|
|
|
|
|
|
|
|
286
|
1
|
|
|
|
|
2
|
$Math::Notation::PostfixInfix{square}++; |
287
|
1
|
|
|
|
|
2
|
@{$Math::Notation::PostfixInfix{operand}{$Math::Notation::PostfixInfix{square}}} = (); |
|
1
|
|
|
|
|
3
|
|
288
|
|
|
|
|
|
|
} |
289
|
|
|
|
|
|
|
|
290
|
|
|
|
|
|
|
############################################################################## |
291
|
|
|
|
|
|
|
# |
292
|
|
|
|
|
|
|
|
293
|
|
|
|
|
|
|
sub _ParseSquareEnd() |
294
|
|
|
|
|
|
|
{ |
295
|
1
|
|
|
1
|
|
1
|
my $self = shift; |
296
|
|
|
|
|
|
|
|
297
|
1
|
|
|
|
|
2
|
$Math::Notation::PostfixInfix{last} = 1; |
298
|
1
|
|
|
|
|
2
|
Math::Notation::PostfixInfix->_ParseOperand(pop(@{$Math::Notation::PostfixInfix{operand}{$Math::Notation::PostfixInfix{square}}})); |
|
1
|
|
|
|
|
6
|
|
299
|
1
|
|
|
|
|
2
|
$Math::Notation::PostfixInfix{square}--; |
300
|
1
|
50
|
|
|
|
3
|
if ($Math::Notation::PostfixInfix{square} < 0) |
301
|
|
|
|
|
|
|
{ |
302
|
0
|
|
|
|
|
|
print STDERR "Square mismatch, too many close\n"; |
303
|
0
|
|
|
|
|
|
exit(-1); |
304
|
|
|
|
|
|
|
} |
305
|
|
|
|
|
|
|
} |
306
|
|
|
|
|
|
|
|
307
|
|
|
|
|
|
|
__END__ |