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os: | ||
- linux | ||
- osx | ||
language: perl6 | ||
perl6: | ||
- latest | ||
install: | ||
- rakudobrew build-panda | ||
- panda --notests installdeps . | ||
script: | ||
- PERL6LIB=$PWD/lib prove -e perl6 -v t/ | ||
sudo: false |
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{ | ||
"authors" : [ | ||
"Richard Hainsworth aka finanalyst" | ||
], | ||
"build-depends" : [], | ||
"depends" : [], | ||
"description" : "A perl6 implementation of the Tarjan algorithm", | ||
"name" : "Algorithm::Tarjan", | ||
"perl" : "6.c", | ||
"provides" : { | ||
"Algorithm::Tarjan" : "lib/Algorithm/Tarjan.pm6" | ||
}, | ||
"resources" : [], | ||
"source-url" : "git://github.com/finanalyst/p6-Algorithm-Tarjan.git", | ||
"test-depends" : <Test>, | ||
"version" : "0.01", | ||
"license": "Artistic" | ||
} |
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#!/usr/bin/env perl6 | ||
# implementation of Tarjan's algorithm in perl6 | ||
# uses pseudo code from https://en.wikipedia.org/wiki/Tarjan's_strongly_connected_components_algorithm | ||
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# various possibilities for how to describe a graph. | ||
# The init method can be over-ridden to change the map the user's structure into the array structure here. | ||
# Here init method assumes that we have a hash of nodes pointing to an array of children. | ||
# If a node is included in an array of children, but is not in the original hash, it is added to the hash with no children. | ||
use v6.c; | ||
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class Algorithm::Tarjan::Node { | ||
has @.succ is rw = (); | ||
has $.name; | ||
has $.index is rw; | ||
has $.low-link is rw; | ||
has Bool $.on-stack is rw = False; | ||
} | ||
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class Algorithm::Tarjan { | ||
has Algorithm::Tarjan::Node %!nodes; | ||
has $!main-index; | ||
has @!stack; | ||
has @.strongly-connected; | ||
has Bool $!run-once; | ||
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method init( %h ) { | ||
%!nodes = (); | ||
$!main-index = 0; | ||
@!stack = (); | ||
@.strongly-connected = (); | ||
$!run-once = False; | ||
for %h.kv -> $nd, @children { # stringifies all inputs | ||
%!nodes{ $nd } = Algorithm::Tarjan::Node.new( | ||
:name( ~$nd ), | ||
:succ( @children.map( { ~$_ } ) ) | ||
); | ||
}; | ||
# adds children not in node set | ||
for %!nodes.values -> $node { | ||
for $node.succ>>.grep( { ! (%!nodes{$_}:exists).so } ).flat { | ||
%!nodes{$_} = Algorithm::Tarjan::Node.new( :name($_) ) | ||
} | ||
} | ||
}; | ||
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method strong-components { | ||
return if $!run-once; | ||
for %!nodes.values -> $node { | ||
$.strong-connect($node) unless $node.index.defined | ||
}; | ||
$!run-once = True; | ||
} | ||
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method strong-connect( Algorithm::Tarjan::Node $v ) { | ||
$v.index = $v.low-link = $!main-index++; | ||
@!stack.push: $v; | ||
$v.on-stack = True; | ||
for $v.succ -> $w { | ||
my $wn = %!nodes{$w}; | ||
if ( ! $wn.index.defined ) { | ||
$.strong-connect( $wn ); | ||
$v.low-link = min( $v.low-link, $wn.low-link ); | ||
} elsif $wn.on-stack { | ||
$v.low-link = min( $v.low-link, $wn.index ); | ||
} | ||
} | ||
my Algorithm::Tarjan::Node $w; | ||
my @scc = (); | ||
if $v.index == $v.low-link { | ||
repeat { | ||
$w = @!stack.pop; | ||
$w.on-stack = False; | ||
@scc.push: $w.name; | ||
} until $w.name eq $v.name; | ||
@!strongly-connected.push( @scc.sort.join(',') ) if @scc.elems > 1; | ||
} | ||
} | ||
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method find-cycles { | ||
$.strong-components(); | ||
@!strongly-connected.elems | ||
} | ||
} | ||
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use v6; | ||
use Test; | ||
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use Algorithm::Tarjan; | ||
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my Algorithm::Tarjan $a .= new(); | ||
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isa-ok $a, Algorithm::Tarjan, 'module loads'; | ||
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my %h = ( | ||
a => <b c d e f>, | ||
b => <g h>, | ||
c => <i j g>, | ||
d => (), | ||
e => (), | ||
f => (), | ||
g => <k l m>, | ||
h => (), | ||
i => (), | ||
j => (), | ||
k => (), | ||
l => (), | ||
m => () | ||
); | ||
lives-ok { $a.init( %h ) }, 'test graph, no cycles loads'; | ||
lives-ok { $a.strong-components()}, 'get strong components without dying'; | ||
is-deeply $a.strongly-connected.flat, (), 'trivial list of strong components'; | ||
%h = ( | ||
a => <b c d e f>, | ||
b => <g h>, | ||
c => <i j g>, | ||
d => (), | ||
e => (), | ||
f => (), | ||
g => <k l m> | ||
); | ||
lives-ok { $a.init( %h ) }, 'test graph, no cycles loads, but missing nodes in hash'; | ||
$a.strong-components(); | ||
is-deeply $a.strongly-connected.flat, (), 'trivial list of strong components'; | ||
is $a.find-cycles, 0, 'no cycles in graph'; | ||
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%h = ( | ||
a => <b c d e f>, | ||
b => <g h>, | ||
c => <i j g>, | ||
d => (), | ||
e => (), | ||
f => (), | ||
g => <k l m>, | ||
h => (), | ||
i => (), | ||
j => (), | ||
k => (), | ||
l => (), | ||
m => ('a', ) | ||
); | ||
$a.init( %h ); | ||
$a.strong-components(); | ||
is-deeply $a.strongly-connected.list, ['a,b,c,g,m'], 'list of strong components in graph'; | ||
is $a.find-cycles, 1, 'A cycle in graph'; | ||
%h = ( | ||
a => ('b', ), | ||
b => ('c', ), | ||
c => ('a', ), | ||
d => <b c e>, | ||
e => <d f>, | ||
f => <c g>, | ||
g => ('f',), | ||
h => <e g h> | ||
); | ||
$a.init( %h ); | ||
$a.strong-components(); | ||
is-deeply $a.strongly-connected.list, ['a,b,c', 'f,g', 'd,e'], 'deals with graph in Wikipedia article'; | ||
is $a.find-cycles, 3, 'Three cycles in graph'; | ||
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%h = ( | ||
MinModel => <a b c>, | ||
a => <a1 b2>, | ||
a1 => (), | ||
b => ('b1',), | ||
b1 => <a1 b3 b4 b5>, | ||
b2 => <b3 b4 c>, | ||
b3 => (), | ||
b4 => (), | ||
b5 => (), | ||
c => ('c1',), | ||
c1 => <c2 b1 a b3 b4>, | ||
c2 => () | ||
); | ||
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done-testing(); |