!RET & (!DFTRAMBYP | (TENA & QNAPA & CENA) | (TENA & TONAPA & TCENA)) & EMAA[2] & EMAA[1] & EMAA[0] & EMASA split this to sum of product form use perl
时间: 2024-01-31 09:03:24 浏览: 32
Here's an example Perl code that converts the given logical expression into sum of product form:
```
use strict;
use warnings;
my $expr = '!RET & (!DFTRAMBYP | (TENA & QNAPA & CENA) | (TENA & TONAPA & TCENA)) & EMAA[2] & EMAA[1] & EMAA[0] & EMASA';
# Step 1: Apply De Morgan's law
$expr =~ s/!(\w+)/not $1/g;
$expr =~ s/\(([^()]+)\)/'('.de_morgan($1).')'/ge;
sub de_morgan {
my ($expr) = @_;
$expr =~ s/(\w+)/!$1/g;
return $expr;
}
# Step 2: Distribute the AND operator over the OR terms
my @terms = split /\s+\&\s+/, $expr;
my @products;
foreach my $term (@terms) {
my @factors = split /\s+\|\s+/, $term;
my @vars;
foreach my $factor (@factors) {
my @split_vars = split /\s+\&\s+/, $factor;
push @vars, map { $_ =~ s/^not\s+//; $_ } @split_vars;
}
push @products, join(' & ', @vars);
}
# Step 3: Simplify each term by removing redundant variables
my %seen;
@products = grep { !$seen{$_}++ } @products;
my $result = join(' | ', @products);
print "Sum of product form: $result\n";
```
This code applies De Morgan's law to eliminate the negation operator and distributes the AND operator over the OR terms. It then simplifies each term by removing redundant variables. Finally, it outputs the result in sum of product form.
Note that this is just one way to implement the conversion to sum of product form in Perl, and there may be other ways to achieve the same result.