t/71_spt.t - metacpan.org

use Test::More tests => 124;

use Graph;
use Graph::Directed;
use Graph::Undirected;

my $g = Graph::Directed->new;

$g->add_weighted_path("b", 1, "f", 2, "c", 3, "d", 3,
		      "f", 2, "g", 2, "e");
$g->add_weighted_edges("d", "e", 3,
		       "g", "a", 3,
		       "g", "f", 2,
		       "b", "a", 3,
		       "h", "b", 1,
		       "h", "c", 1);

my $u = Graph::Undirected->new;

$u->add_weighted_path("b", 1, "f",
		           2, "c",
		           3, "d",
		           3, "f",
		           2, "g",
		           2, "e");
$u->add_weighted_edges("d", "e", 3,
		       "g", "a", 3,
		       "g", "f", 2,
		       "b", "a", 3,
		       "h", "b", 1,
		       "h", "c", 1);

my $sgb_d = $g->SPT_Dijkstra(first_root => "b");

is( $sgb_d, "b-a,b-f,c-d,f-c,f-g,g-e" );

my $sgb_bf = $g->SPT_Bellman_Ford(first_root => "b");

is( $sgb_bf, "b-a,b-f,c-d,f-c,f-g,g-e" );

my $sgh_d = $g->SPT_Dijkstra(first_root => "h");

is( $sgh_d, "b-a,b-f,c-d,f-g,g-e,h-b,h-c" );

my $sga_d = $g->SPT_Dijkstra(first_root => "a", next_root => undef);

is( $sga_d, '' );

my $sub = $u->SPT_Dijkstra(first_root => "b");

is( $sub, "a=b,b=f,b=h,c=h,d=f,e=g,f=g" );

my $suh = $u->SPT_Dijkstra(first_root => "h");

is( $suh, "a=b,b=f,b=h,c=d,c=h,e=g,f=g" );

my $sua = $u->SPT_Dijkstra(first_root => "a");

print "# sua = $sua\n";

ok( $sua eq "a=b,a=g,b=f,b=h,c=h,d=e,e=g" ||
    $sua eq "a=b,a=g,b=f,b=h,c=h,d=f,e=g" ||
    $sua eq "a=b,a=g,c=f,c=h,d=e,e=g,f=g" ||
    $sua eq "a=b,a=g,c=f,c=h,d=f,e=g,f=g" );

# Sedgewick, Algorithms in C, Third Edition
# Chapter 21, "Shortest Paths", Figure 21.10 (p 282)
my $g2 = Graph::Directed->new;

$g2->add_weighted_edge(qw(0 1 0.41));
$g2->add_weighted_edge(qw(1 2 0.51));
$g2->add_weighted_edge(qw(2 3 0.50));
$g2->add_weighted_edge(qw(4 3 0.36));
$g2->add_weighted_edge(qw(3 5 0.38));
$g2->add_weighted_edge(qw(3 0 0.45));
$g2->add_weighted_edge(qw(0 5 0.29));
$g2->add_weighted_edge(qw(5 4 0.21));
$g2->add_weighted_edge(qw(1 4 0.32));
$g2->add_weighted_edge(qw(4 2 0.32));
$g2->add_weighted_edge(qw(5 1 0.29));

my $s2_di = $g2->SPT_Dijkstra(first_root => "0");

is( $s2_di, "0-1,0-5,4-2,4-3,5-4" );

my $s2_bf = $g2->SPT_Bellman_Ford(first_root => "0");

is( $s2_bf, "0-1,0-5,4-2,4-3,5-4" );

my $g3 = Graph::Directed->new;

$g3->add_weighted_path(qw(a 1 b 2 c 3 d -1 e 4 f));

my $s3_da;

eval '$s3_da = $g3->SPT_Dijkstra(first_root => "a")';

like($@, qr/Graph::SPT_Dijkstra: edge d-e is negative \(-1\)/);

is( $s3_da, undef );

my $s3_bf;

eval '$s3_bf = $g3->SPT_Bellman_Ford(first_root => "a")';

is($@, '');

is( $s3_bf, "a-b,b-c,c-d,d-e,e-f");

$g3->add_weighted_path(qw(b -2 a));

undef $s3_bf;

eval '$s3_bf = $g3->SPT_Bellman_Ford(first_root => "a")';

like($@, qr/Graph::SPT_Bellman_Ford: negative cycle exists/);

is( $s3_bf, undef );

# http://rt.cpan.org/NoAuth/Bug.html?id=516
my $g4 = new Graph::Undirected;

$g4->add_weighted_edge("r1", "l1", 1);

my $d4 = $g4->SSSP_Dijkstra("r1");

is($g4, "l1=r1");
is($d4, "l1=r1");

# Nathan Goodman
my $g5 = Graph::Directed->new;
$g5->add_edge(qw(0 1));
$g5->add_edge(qw(1 2));
my $sg5 = $g5->SPT_Dijkstra(first_root => "0");
is($sg5, "0-1,1-2");

#  Test the attributes of the $s2_di from earlier.

# $s2_di->_dump;

is($s2_di->get_edge_attribute('0', '1', 'weight'), 0.41, "edge 0-1");
is($s2_di->get_edge_attribute('0', '5', 'weight'), 0.29, "edge 0-5");
is($s2_di->get_edge_attribute('5', '4', 'weight'), 0.50, "edge 5-4");
is($s2_di->get_edge_attribute('4', '3', 'weight'), 0.86, "edge 4-3");
is($s2_di->get_edge_attribute('4', '2', 'weight'), 0.82, "edge 4-2");

is($s2_di->get_edge_attribute('0', '3', 'weight'), undef, "edge 0-3");
is($s2_di->get_edge_attribute('3', '5', 'weight'), undef, "edge 3-5");
is($s2_di->get_edge_attribute('5', '1', 'weight'), undef, "edge 5-1");
is($s2_di->get_edge_attribute('1', '2', 'weight'), undef, "edge 1-2");
is($s2_di->get_edge_attribute('2', '3', 'weight'), undef, "edge 2-3");

is($s2_di->get_edge_attribute('1', '0', 'weight'), undef, "edge 1-0");
is($s2_di->get_edge_attribute('5', '0', 'weight'), undef, "edge 5-0");
is($s2_di->get_edge_attribute('4', '5', 'weight'), undef, "edge 4-5");
is($s2_di->get_edge_attribute('3', '4', 'weight'), undef, "edge 3-4");
is($s2_di->get_edge_attribute('2', '4', 'weight'), undef, "edge 2-4");

is($s2_di->get_edge_attribute('3', '0', 'weight'), undef, "edge 3-0");
is($s2_di->get_edge_attribute('5', '3', 'weight'), undef, "edge 5-3");
is($s2_di->get_edge_attribute('1', '5', 'weight'), undef, "edge 1-5");
is($s2_di->get_edge_attribute('2', '1', 'weight'), undef, "edge 2-1");
is($s2_di->get_edge_attribute('3', '2', 'weight'), undef, "edge 3-2");

is($s2_di->get_vertex_attribute('0', 'weight'), undef, "vertex 0");
is($s2_di->get_vertex_attribute('1', 'weight'), 0.41,  "vertex 1");
is($s2_di->get_vertex_attribute('2', 'weight'), 0.82,  "vertex 2");
is($s2_di->get_vertex_attribute('3', 'weight'), 0.86,  "vertex 3");
is($s2_di->get_vertex_attribute('4', 'weight'), 0.50,  "vertex 4");
is($s2_di->get_vertex_attribute('5', 'weight'), 0.29,  "vertex 5");

is($s2_di->get_vertex_attribute('0', 'p'), undef, "vertex 0 p");
is($s2_di->get_vertex_attribute('1', 'p'),     0, "vertex 1 p");
is($s2_di->get_vertex_attribute('2', 'p'),     4, "vertex 2 p");
is($s2_di->get_vertex_attribute('3', 'p'),     4, "vertex 3 p");
is($s2_di->get_vertex_attribute('4', 'p'),     5, "vertex 4 p");
is($s2_di->get_vertex_attribute('5', 'p'),     0, "vertex 5 p");

is("@{[$g2->SP_Dijkstra('0', '0')]}", "0",       "path 0 0");
is("@{[$g2->SP_Dijkstra('0', '1')]}", "0 1",     "path 0 1");
is("@{[$g2->SP_Dijkstra('0', '2')]}", "0 5 4 2", "path 0 2");
is("@{[$g2->SP_Dijkstra('0', '3')]}", "0 5 4 3", "path 0 3");
is("@{[$g2->SP_Dijkstra('0', '4')]}", "0 5 4",   "path 0 4");
is("@{[$g2->SP_Dijkstra('0', '5')]}", "0 5",     "path 0 5");

is("@{[$g2->SP_Dijkstra('1', '0')]}", "1 4 3 0", "path 1 0");
is("@{[$g2->SP_Dijkstra('1', '1')]}", "1",       "path 1 1");
is("@{[$g2->SP_Dijkstra('1', '2')]}", "1 2",     "path 1 2");
is("@{[$g2->SP_Dijkstra('1', '3')]}", "1 4 3",   "path 1 3");
is("@{[$g2->SP_Dijkstra('1', '4')]}", "1 4",     "path 1 4");
is("@{[$g2->SP_Dijkstra('1', '5')]}", "1 4 3 5", "path 1 5");

is("@{[$g2->SP_Dijkstra('0', '0')]}", "0",       "path 0 0");
is("@{[$g2->SP_Dijkstra('0', '1')]}", "0 1",     "path 0 1");
is("@{[$g2->SP_Dijkstra('0', '2')]}", "0 5 4 2", "path 0 2");
is("@{[$g2->SP_Dijkstra('0', '3')]}", "0 5 4 3", "path 0 3");
is("@{[$g2->SP_Dijkstra('0', '4')]}", "0 5 4",   "path 0 4");
is("@{[$g2->SP_Dijkstra('0', '5')]}", "0 5",     "path 0 5");

is($s2_bf->get_edge_attribute('0', '1', 'weight'), 0.41, "edge 0-1");
is($s2_bf->get_edge_attribute('0', '5', 'weight'), 0.29, "edge 0-5");
is($s2_bf->get_edge_attribute('5', '4', 'weight'), 0.21, "edge 5-4");
is($s2_bf->get_edge_attribute('4', '3', 'weight'), 0.36, "edge 4-3");
is($s2_bf->get_edge_attribute('4', '2', 'weight'), 0.32, "edge 4-2");

is($s2_bf->get_edge_attribute('0', '3', 'weight'), undef, "edge 0-3");
is($s2_bf->get_edge_attribute('3', '5', 'weight'), undef, "edge 3-5");
is($s2_bf->get_edge_attribute('5', '1', 'weight'), undef, "edge 5-1");
is($s2_bf->get_edge_attribute('1', '2', 'weight'), undef, "edge 1-2");
is($s2_bf->get_edge_attribute('2', '3', 'weight'), undef, "edge 2-3");

is($s2_bf->get_edge_attribute('1', '0', 'weight'), undef, "edge 1-0");
is($s2_bf->get_edge_attribute('5', '0', 'weight'), undef, "edge 5-0");
is($s2_bf->get_edge_attribute('4', '5', 'weight'), undef, "edge 4-5");
is($s2_bf->get_edge_attribute('3', '4', 'weight'), undef, "edge 3-4");
is($s2_bf->get_edge_attribute('2', '4', 'weight'), undef, "edge 2-4");

is($s2_bf->get_edge_attribute('3', '0', 'weight'), undef, "edge 3-0");
is($s2_bf->get_edge_attribute('5', '3', 'weight'), undef, "edge 5-3");
is($s2_bf->get_edge_attribute('1', '5', 'weight'), undef, "edge 1-5");
is($s2_bf->get_edge_attribute('2', '1', 'weight'), undef, "edge 2-1");
is($s2_bf->get_edge_attribute('3', '2', 'weight'), undef, "edge 3-2");

is($s2_bf->get_vertex_attribute('0', 'weight'), undef, "vertex 0");
is($s2_bf->get_vertex_attribute('1', 'weight'), 0.41,  "vertex 1");
is($s2_bf->get_vertex_attribute('2', 'weight'), 0.82,  "vertex 2");
is($s2_bf->get_vertex_attribute('3', 'weight'), 0.86,  "vertex 3");
is($s2_bf->get_vertex_attribute('4', 'weight'), 0.50,  "vertex 4");
is($s2_bf->get_vertex_attribute('5', 'weight'), 0.29,  "vertex 5");

is($s2_bf->get_vertex_attribute('0', 'p'), undef, "vertex 0 p");
is($s2_bf->get_vertex_attribute('1', 'p'),     0, "vertex 1 p");
is($s2_bf->get_vertex_attribute('2', 'p'),     4, "vertex 2 p");
is($s2_bf->get_vertex_attribute('3', 'p'),     4, "vertex 3 p");
is($s2_bf->get_vertex_attribute('4', 'p'),     5, "vertex 4 p");
is($s2_bf->get_vertex_attribute('5', 'p'),     0, "vertex 5 p");

is("@{[$g2->SP_Bellman_Ford('0', '0')]}", "0",       "path 0 0");
is("@{[$g2->SP_Bellman_Ford('0', '1')]}", "0 1",     "path 0 1");
is("@{[$g2->SP_Bellman_Ford('0', '2')]}", "0 5 4 2", "path 0 2");
is("@{[$g2->SP_Bellman_Ford('0', '3')]}", "0 5 4 3", "path 0 3");
is("@{[$g2->SP_Bellman_Ford('0', '4')]}", "0 5 4",   "path 0 4");
is("@{[$g2->SP_Bellman_Ford('0', '5')]}", "0 5",     "path 0 5");

is("@{[$g2->SP_Bellman_Ford('1', '0')]}", "1 4 3 0", "path 1 0");
is("@{[$g2->SP_Bellman_Ford('1', '1')]}", "1",       "path 1 1");
is("@{[$g2->SP_Bellman_Ford('1', '2')]}", "1 2",     "path 1 2");
is("@{[$g2->SP_Bellman_Ford('1', '3')]}", "1 4 3",   "path 1 3");
is("@{[$g2->SP_Bellman_Ford('1', '4')]}", "1 4",     "path 1 4");
is("@{[$g2->SP_Bellman_Ford('1', '5')]}", "1 4 3 5", "path 1 5");

is("@{[$g2->SP_Bellman_Ford('0', '0')]}", "0",       "path 0 0");
is("@{[$g2->SP_Bellman_Ford('0', '1')]}", "0 1",     "path 0 1");
is("@{[$g2->SP_Bellman_Ford('0', '2')]}", "0 5 4 2", "path 0 2");
is("@{[$g2->SP_Bellman_Ford('0', '3')]}", "0 5 4 3", "path 0 3");
is("@{[$g2->SP_Bellman_Ford('0', '4')]}", "0 5 4",   "path 0 4");
is("@{[$g2->SP_Bellman_Ford('0', '5')]}", "0 5",     "path 0 5");

{
    my $g = Graph::Directed->new(refvertexed => 1);
    
    $g->add_edge(qw(a b));
    $g->add_edge(qw(a c));
    $g->add_edge(qw(c d));
    $g->add_edge(qw(c e));
    $g->add_edge(qw(e f));

    my $r = [1, 2, 3];

    $g->add_edge('f', $r);

    my $s0 = $g->SPT_Dijkstra(first_root => 'a');
    
    ok($s0->has_vertex('f'));
    my @e0 = $s0->successors('f');
    is(@e0, 1);
    is_deeply($e0[0], $r);

    my $s1 = $g->SPT_Bellman_Ford(first_root => 'a');
    
    ok($s1->has_vertex('f'));
    my @e1 = $s1->successors('f');
    is(@e1, 1);
    is($e1[0], $r);
}
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