#!perl
# Marpa::R3 is Copyright (C) 2017, Jeffrey Kegler.
#
# This module is free software; you can redistribute it and/or modify it
# under the same terms as Perl 5.10.1. For more details, see the full text
# of the licenses in the directory LICENSES.
#
# This program is distributed in the hope that it will be
# useful, but it is provided "as is" and without any express
# or implied warranties. For details, see the full text of
# of the licenses in the directory LICENSES.
# Note: replacement for catalan.t ...
use
5.010001;
# Count the ways of parenthesizing N symbols in pairs
# This generates the Catalan numbers
use
strict;
use
warnings;
POSIX::setlocale(LC_ALL,
"C"
);
use
Marpa::R3::Test;
use
Marpa::R3;
my
$grammar
= Marpa::R3::Scanless::G->new(
{
source
=> \
<<'END_OF_DSL',
pair ::= a a
pair ::= pair a
pair ::= a pair
pair ::= pair pair
a ~ 'a'
END_OF_DSL
}
);
sub
do_pairings {
my
$n
=
shift
;
my
$parse_count
= 0;
my
$recce
= Marpa::R3::Scanless::R->new( {
grammar
=>
$grammar
} );
# An arbitrary maximum is put on the number of parses -- this is for
# debugging, and infinite loops happen.
$recce
->set( {
max_parses
=> 999, } );
$recce
->
read
( \(
'a'
x
$n
) );
while
(
my
$value_ref
=
$recce
->value() ) {
$parse_count
++;
}
return
$parse_count
;
}
## end sub do_pairings
my
@catalan_numbers
= ( 0, 1, 1, 2, 5, 14, 42, 132, 429 );
for
my
$a
( ( 2 .. 8 ) ) {
my
$actual_parse_count
= do_pairings(
$a
);
Marpa::R3::Test::is(
$actual_parse_count
,
$catalan_numbers
[
$a
],
"Catalan number $a matches parse count ($actual_parse_count)"
);
}
## end for my $a ( ( 2 .. 8 ) )
1;
# In case used as "do" file
# Local Variables:
# mode: cperl
# cperl-indent-level: 4
# fill-column: 100
# End:
# vim: expandtab shiftwidth=4: