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############################################################################# # Path and cell management for Graph::Easy. # ############################################################################# package Graph::Easy::Layout::Path; $VERSION = '0.76'; ############################################################################# ############################################################################# package Graph::Easy::Node; use strict; use warnings; use Graph::Easy::Edge::Cell qw/ EDGE_END_E EDGE_END_N EDGE_END_S EDGE_END_W /; sub _shuffle_dir { # take a list with four entries and shuffle them around according to $dir my ($self, $e, $dir) = @_; # $dir: 0 => north, 90 => east, 180 => south, 270 => west $dir = 90 unless defined $dir; # default is east return [ @$e ] if $dir == 90; # default is no shuffling my @shuffle = (0,1,2,3); # the default @shuffle = (1,2,0,3) if $dir == 180; # south @shuffle = (2,3,1,0) if $dir == 270; # west @shuffle = (3,0,2,1) if $dir == 0; # north [ $e->[ $shuffle[0] ], $e->[ $shuffle[1] ], $e->[ $shuffle[2] ], $e->[ $shuffle[3] ], ]; } sub _shift { # get a flow shifted by X° to $dir my ($self, $turn) = @_; my $dir = $self->flow(); $dir += $turn; $dir += 360 if $dir < 0; $dir -= 360 if $dir > 360; $dir; } sub _near_places { # Take a node and return a list of possible placements around it and # prune out already occupied cells. $d is the distance from the node # border and defaults to two (for placements). Set it to one for # adjacent cells. # If defined, $type contains four flags for each direction. If undef, # two entries (x,y) will be returned for each pos, instead of (x,y,type). # If $loose is true, no checking whether the returned fields are free # is done. my ($n, $cells, $d, $type, $loose, $dir) = @_; my $cx = $n->{cx} || 1; my $cy = $n->{cy} || 1; $d = 2 unless defined $d; # default is distance = 2 my $flags = $type; if (ref($flags) ne 'ARRAY') { $flags = [ EDGE_END_W, EDGE_END_N, EDGE_END_E, EDGE_END_S, ]; } $dir = $n->flow() unless defined $dir; my $index = $n->_shuffle_dir( [ 0,3,6,9], $dir); my @places = (); # single-celled node if ($cx + $cy == 2) { my @tries = ( $n->{x} + $d, $n->{y}, $flags->[0], # right $n->{x}, $n->{y} + $d, $flags->[1], # down $n->{x} - $d, $n->{y}, $flags->[2], # left $n->{x}, $n->{y} - $d, $flags->[3], # up ); for my $i (0..3) { my $idx = $index->[$i]; my ($x,$y,$t) = ($tries[$idx], $tries[$idx+1], $tries[$idx+2]); # print STDERR "# Considering place $x, $y \n"; # This quick check does not take node clusters or multi-celled nodes # into account. These are handled in $node->_do_place() later. next if !$loose && exists $cells->{"$x,$y"}; push @places, $x, $y; push @places, $t if defined $type; } return @places; } # Handle a multi-celled node. For a 3x2 node: # A B C # J [00][10][20] D # I [10][11][21] E # H G F # we have 10 (3 * 2 + 2 * 2) places to consider my $nx = $n->{x}; my $ny = $n->{y}; my ($px,$py); my $idx = 0; my @results = ( [], [], [], [] ); $cy--; $cx--; my $t = $flags->[$idx++]; # right $px = $nx + $cx + $d; for my $y (0 .. $cy) { $py = $y + $ny; next if exists $cells->{"$px,$py"} && !$loose; push @{$results[0]}, $px, $py; push @{$results[0]}, $t if defined $type; } # below $py = $ny + $cy + $d; $t = $flags->[$idx++]; for my $x (0 .. $cx) { $px = $x + $nx; next if exists $cells->{"$px,$py"} && !$loose; push @{$results[1]}, $px, $py; push @{$results[1]}, $t if defined $type; } # left $px = $nx - $d; $t = $flags->[$idx++]; for my $y (0 .. $cy) { $py = $y + $ny; next if exists $cells->{"$px,$py"} && !$loose; push @{$results[2]}, $px, $py; push @{$results[2]}, $t if defined $type; } # top $py = $ny - $d; $t = $flags->[$idx]; for my $x (0 .. $cx) { $px = $x + $nx; next if exists $cells->{"$px,$py"} && !$loose; push @{$results[3]}, $px, $py; push @{$results[3]}, $t if defined $type; } # accumulate the results in the requested, shuffled order for my $i (0..3) { my $idx = $index->[$i] / 3; push @places, @{$results[$idx]}; } @places; } sub _allowed_places { # given a list of potential positions, and a list of allowed positions, # return the valid ones (e.g. that are in both lists) my ($self, $places, $allowed, $step) = @_; print STDERR "# calculating allowed places for $self->{name} from " . @$places . " positions and " . scalar @$allowed . " allowed ones:\n" if $self->{graph}->{debug}; $step ||= 2; # default: "x,y" my @good; my $i = 0; while ($i < @$places) { my ($x,$y) = ($places->[$i], $places->[$i+1]); my $allow = 0; my $j = 0; while ($j < @$allowed) { my ($m,$n) = ($allowed->[$j], $allowed->[$j+1]); $allow++ and last if ($m == $x && $n == $y); } continue { $j += 2; } next unless $allow; push @good, $places->[$i + $_ -1] for (1..$step); } continue { $i += $step; } print STDERR "# left with " . ((scalar @good) / $step) . " position(s)\n" if $self->{graph}->{debug}; @good; } sub _allow { # return a list of places, depending on the start/end attribute: # "south" - any place south # "south,0" - first place south # "south,-1" - last place south # XXX TODO: # "south,0..2" - first three places south # "south,0,1,-1" - first, second and last place south my ($self, $dir, @pos) = @_; # for relative direction, get the absolute flow from the node if ($dir =~ /^(front|forward|back|left|right)\z/) { # get the flow at the node $dir = $self->flow(); } my $place = { 'south' => [ 0,0, 0,1, 'cx', 1,0 ], 'north' => [ 0,-1, 0,0, 'cx', 1,0 ], 'east' => [ 0,0, 1,0, 'cy', 0,1 ], 'west' => [ -1,0, 0,0, 'cy', 0,1 ] , 180 => [ 0,0, 0,1, 'cx', 1,0 ], 0 => [ 0,-1, 0,0, 'cx', 1,0 ], 90 => [ 0,0, 1,0, 'cy', 0,1 ], 270 => [ -1,0, 0,0, 'cy', 0,1 ] , }; my $p = $place->{$dir}; return [] unless defined $p; # start pos my $x = $p->[0] + $self->{x} + $p->[2] * $self->{cx}; my $y = $p->[1] + $self->{y} + $p->[3] * $self->{cy}; my @allowed; push @pos, '' if @pos == 0; my $c = $p->[4]; if (@pos == 1 && $pos[0] eq '') { # allow all of them for (1 .. $self->{$c}) { push @allowed, $x, $y; $x += $p->[5]; $y += $p->[6]; } } else { # allow only the given position my $ps = $pos[0]; # limit to 0..$self->{cx}-1 $ps = $self->{$c} + $ps if $ps < 0; $ps = 0 if $ps < 0; $ps = $self->{$c} - 1 if $ps >= $self->{$c}; $x += $p->[5] * $ps; $y += $p->[6] * $ps; push @allowed, $x, $y; } \@allowed; } package Graph::Easy; use strict; use Graph::Easy::Node::Cell; use Graph::Easy::Edge::Cell qw/ EDGE_HOR EDGE_VER EDGE_CROSS EDGE_TYPE_MASK EDGE_HOLE /; sub _clear_tries { # Take a list of potential positions for a node, and then remove the # ones that are immediately near any other node. # Returns a list of "good" positions. Afterwards $node->{x} is undef. my ($self, $node, $cells, $tries) = @_; my $src = 0; my @new; print STDERR "# clearing ", scalar @$tries / 2, " tries for $node->{name}\n" if $self->{debug}; my $node_grandpa = $node->find_grandparent(); while ($src < scalar @$tries) { # check the current position # temporary place node here my $x = $tries->[$src]; my $y = $tries->[$src+1]; # print STDERR "# checking $x,$y\n" if $self->{debug}; $node->{x} = $x; $node->{y} = $y; my @near = $node->_near_places($cells, 1, undef, 1); # push also the four corner cells to avoid placing nodes corner-to-corner push @near, $x-1, $y-1, # upperleft corner $x-1, $y+($node->{cy}||1), # lowerleft corner $x+($node->{cx}||1), $y+($node->{cy}||1), # lowerright corner $x+($node->{cx}||1), $y-1; # upperright corner # check all near places to be free from nodes (except our children) my $j = 0; my $g = 0; while ($j < @near) { my $xy = $near[$j]. ',' . $near[$j+1]; # print STDERR "# checking near-place: $xy: " . ref($cells->{$xy}) . "\n" if $self->{debug}; my $cell = $cells->{$xy}; # skip, unless we are a children of node, or the cell is our children next unless ref($cell) && $cell->isa('Graph::Easy::Node'); my $grandpa = $cell->find_grandparent(); # this cell is our children # this cell is our grandpa # has the same grandpa as node next if $grandpa == $node || $cell == $node_grandpa || $grandpa == $node_grandpa; $g++; last; } continue { $j += 2; } if ($g == 0) { push @new, $tries->[$src], $tries->[$src+1]; } $src += 2; } $node->{x} = undef; @new; } my $flow_shift = { 270 => [ 0, -1 ], 90 => [ 0, 1 ], 0 => [ 1, 0 ], 180 => [ -1, 0 ], }; sub _placed_shared { # check whether one of the nodes from the list of shared was already placed my ($self) = shift; my $placed; for my $n (@_) { $placed = [$n->{x}, $n->{y}] and last if defined $n->{x}; } $placed; } use Graph::Easy::Util qw(first_kv); sub _find_node_place { # Try to place a node (or node cluster). Return score (usually 0). my ($self, $node, $try, $parent, $edge) = @_; $try ||= 0; print STDERR "# Finding place for $node->{name}, try #$try\n" if $self->{debug}; print STDERR "# Parent node is '$parent->{name}'\n" if $self->{debug} && ref $parent; print STDERR "# called from ". join (" ", caller) . "\n" if $self->{debug}; # If the node has a user-set rank, see if we already placed another node in that # row/column if ($node->{rank} >= 0) { my $r = abs($node->{rank}); # print STDERR "# User-set rank for $node->{name} (rank $r)\n"; my $c = $self->{_rank_coord}; # use Data::Dumper; print STDERR "# rank_pos: \n", Dumper($self->{_rank_pos}); if (exists $self->{_rank_pos}->{ $r }) { my $co = { x => 0, y => 0 }; $co->{$c} = $self->{_rank_pos}->{ $r }; while (1 < 3) { # print STDERR "# trying to force placement of '$node->{name}' at $co->{x} $co->{y}\n"; return 0 if $node->_do_place($co->{x},$co->{y},$self); $co->{$c} += 2; } } } my $cells = $self->{cells}; # local $self->{debug} = 1; my $min_dist = 2; # minlen = 0 => min_dist = 2, # minlen = 1 => min_dist = 2, # minlen = 2 => min_dist = 3, etc $min_dist = $edge->attribute('minlen') + 1 if ref($edge); # if the node has outgoing edges (which might be shared) if (!ref($edge)) { (undef,$edge) = first_kv($node->{edges}) if keys %{$node->{edges}} > 0; } my $dir = undef; $dir = $edge->flow() if ref($edge); my @tries; # if (ref($parent) && defined $parent->{x}) if (keys %{$node->{edges}} > 0) { my $src_node = $parent; $src_node = $edge->{from} if ref($edge) && !ref($parent); print STDERR "# from $src_node->{name} to $node->{name}: edge $edge dir $dir\n" if $self->{debug}; # if there are more than one edge to this node, and they share a start point, # move the node at least 3 cells away to create space for the joints my ($s_p, @ss_p); ($s_p, @ss_p) = $edge->port('start') if ref($edge); my ($from,$to); if (ref($edge)) { $from = $edge->{from}; $to = $edge->{to}; } my @shared_nodes; @shared_nodes = $from->nodes_sharing_start($s_p,@ss_p) if defined $s_p && @ss_p > 0; print STDERR "# Edge from '$src_node->{name}' shares an edge start with ", scalar @shared_nodes, " other nodes\n" if $self->{debug}; if (@shared_nodes > 1) { $min_dist = 3 if $min_dist < 3; # make space $min_dist++ if $edge->label() ne ''; # make more space for the label # if we are the first shared node to be placed my $placed = $self->_placed_shared(@shared_nodes); if (defined $placed) { # we are not the first, so skip the placement below # instead place on the same column/row as already placed node(s) my ($bx, $by) = @$placed; my $flow = $node->flow(); print STDERR "# One of the shared nodes was already placed at ($bx,$by) with flow $flow\n" if $self->{debug}; my $ofs = 2; # start with a distance of 2 my ($mx, $my) = @{ ($flow_shift->{$flow} || [ 0, 1 ]) }; while (1) { my $x = $bx + $mx * $ofs; my $y = $by + $my * $ofs; print STDERR "# Trying to place $node->{name} at ($x,$y)\n" if $self->{debug}; next if $self->_clear_tries($node, $cells, [ $x,$y ]) == 0; last if $node->_do_place($x,$y,$self); } continue { $ofs += 2; } return 0; # found place already } # end we-are-the-first-to-be-placed } # shared end point? ($s_p, @ss_p) = $edge->port('end') if ref($edge); @shared_nodes = $to->nodes_sharing_end($s_p,@ss_p) if defined $s_p && @ss_p > 0; print STDERR "# Edge from '$src_node->{name}' shares an edge end with ", scalar @shared_nodes, " other nodes\n" if $self->{debug}; if (@shared_nodes > 1) { $min_dist = 3 if $min_dist < 3; $min_dist++ if $edge->label() ne ''; # make more space for the label # if the node to be placed is not in the list to be placed, it is the end-point # see if we are the first shared node to be placed my $placed = $self->_placed_shared(@shared_nodes); # print STDERR "# "; for (@shared_nodes) { print $_->{name}, " "; } print "\n"; if ((grep( $_ == $node, @shared_nodes)) && defined $placed) { # we are not the first, so skip the placement below # instead place on the same column/row as already placed node(s) my ($bx, $by) = @$placed; my $flow = $node->flow(); print STDERR "# One of the shared nodes was already placed at ($bx,$by) with flow $flow\n" if $self->{debug}; my $ofs = 2; # start with a distance of 2 my ($mx, $my) = @{ ($flow_shift->{$flow} || [ 0, 1 ]) }; while (1) { my $x = $bx + $mx * $ofs; my $y = $by + $my * $ofs; print STDERR "# Trying to place $node->{name} at ($x,$y)\n" if $self->{debug}; next if $self->_clear_tries($node, $cells, [ $x,$y ]) == 0; last if $node->_do_place($x,$y,$self); } continue { $ofs += 2; } return 0; # found place already } # end we-are-the-first-to-be-placed } } if (ref($parent) && defined $parent->{x}) { @tries = $parent->_near_places($cells, $min_dist, undef, 0, $dir); print STDERR "# Trying chained placement of $node->{name} with min distance $min_dist from parent $parent->{name}\n" if $self->{debug}; # weed out positions that are unsuitable @tries = $self->_clear_tries($node, $cells, \@tries); splice (@tries,0,$try) if $try > 0; # remove the first N tries print STDERR "# Left with " . scalar @tries . " tries for node $node->{name}\n" if $self->{debug}; while (@tries > 0) { my $x = shift @tries; my $y = shift @tries; print STDERR "# Trying to place $node->{name} at $x,$y\n" if $self->{debug}; return 0 if $node->_do_place($x,$y,$self); } # for all trial positions } print STDERR "# Trying to place $node->{name} at 0,0\n" if $try == 0 && $self->{debug}; # Try to place node at upper left corner (the very first node to be # placed will usually end up there). return 0 if $try == 0 && $node->_do_place(0,0,$self); # try to place node near the predecessor(s) my @pre_all = $node->predecessors(); print STDERR "# Predecessors of $node->{name} " . scalar @pre_all . "\n" if $self->{debug}; # find all already placed predecessors my @pre; for my $p (@pre_all) { push @pre, $p if defined $p->{x}; print STDERR "# Placed predecessors of $node->{name}: $p->{name} at $p->{x},$p->{y}\n" if $self->{debug} && defined $p->{x}; } # sort predecessors on their rank (to try first the higher ranking ones on placement) @pre = sort { $b->{rank} <=> $a->{rank} } @pre; print STDERR "# Number of placed predecessors of $node->{name}: " . scalar @pre . "\n" if $self->{debug}; if (@pre <= 2 && @pre > 0) { if (@pre == 1) { # only one placed predecessor, so place $node near it print STDERR "# placing $node->{name} near predecessor\n" if $self->{debug}; @tries = ( $pre[0]->_near_places($cells, $min_dist), $pre[0]->_near_places($cells,$min_dist+2) ); } else { # two placed predecessors, so place at crossing point of both of them # compute difference between the two nodes my $dx = ($pre[0]->{x} - $pre[1]->{x}); my $dy = ($pre[0]->{y} - $pre[1]->{y}); # are both nodes NOT on a straight line? if ($dx != 0 && $dy != 0) { # ok, so try to place at the crossing point @tries = ( $pre[0]->{x}, $pre[1]->{y}, $pre[0]->{y}, $pre[1]->{x}, ); } else { # two nodes on a line, try to place node in the middle if ($dx == 0) { @tries = ( $pre[1]->{x}, $pre[1]->{y} + int($dy / 2) ); } else { @tries = ( $pre[1]->{x} + int($dx / 2), $pre[1]->{y} ); } } # XXX TODO BUG: shouldn't we also try this if we have more than 2 # placed predecessors? # In addition, we can also try to place the node around the # different nodes: foreach my $n (@pre) { push @tries, $n->_near_places($cells, $min_dist); } } } my @suc_all = $node->successors(); # find all already placed successors my @suc; for my $s (@suc_all) { push @suc, $s if defined $s->{x}; } print STDERR "# Number of placed successors of $node->{name}: " . scalar @suc . "\n" if $self->{debug}; foreach my $s (@suc) { # for each successors (especially if there is only one), try to place near push @tries, $s->_near_places($cells, $min_dist); push @tries, $s->_near_places($cells, $min_dist + 2); } # weed out positions that are unsuitable @tries = $self->_clear_tries($node, $cells, \@tries); print STDERR "# Left with " . scalar @tries . " for node $node->{name}\n" if $self->{debug}; splice (@tries,0,$try) if $try > 0; # remove the first N tries while (@tries > 0) { my $x = shift @tries; my $y = shift @tries; print STDERR "# Trying to place $node->{name} at $x,$y\n" if $self->{debug}; return 0 if $node->_do_place($x,$y,$self); } # for all trial positions ############################################################################## # all simple possibilities exhausted, try a generic approach print STDERR "# No more simple possibilities for node $node->{name}\n" if $self->{debug}; # XXX TODO: # find out which sides of the node predecessor node(s) still have free # ports/slots. With increasing distances, try to place the node around these. # If no predecessors/incoming edges, try to place in column 0, otherwise # considered the node's rank, too my $col = 0; $col = $node->{rank} * 2 if @pre > 0; $col = $pre[0]->{x} if @pre > 0; # find the first free row my $y = 0; $y +=2 while (exists $cells->{"$col,$y"}); $y += 1 if exists $cells->{"$col," . ($y-1)}; # leave one cell spacing # now try to place node (or node cluster) while (1) { next if $self->_clear_tries($node, $cells, [ $col,$y ]) == 0; last if $node->_do_place($col,$y,$self); } continue { $y += 2; } $node->{x} = $col; 0; # success, score 0 } sub _trace_path { # find a free way from $src to $dst (both need to be placed beforehand) my ($self, $src, $dst, $edge) = @_; print STDERR "# Finding path from '$src->{name}' to '$dst->{name}'\n" if $self->{debug}; print STDERR "# src: $src->{x}, $src->{y} dst: $dst->{x}, $dst->{y}\n" if $self->{debug}; my $coords = $self->_find_path ($src, $dst, $edge); # found no path? if (!defined $coords) { print STDERR "# Unable to find path from $src->{name} ($src->{x},$src->{y}) to $dst->{name} ($dst->{x},$dst->{y})\n" if $self->{debug}; return undef; } # path is empty, happens for sharing edges with only a joint return 1 if scalar @$coords == 0; # Create all cells from the returned list and score path (lower score: better) my $i = 0; my $score = 0; while ($i < scalar @$coords) { my $type = $coords->[$i+2]; $self->_create_cell($edge,$coords->[$i],$coords->[$i+1],$type); $score ++; # each element: one point $type &= EDGE_TYPE_MASK; # mask flags # edge bend or cross: one point extra $score ++ if $type != EDGE_HOR && $type != EDGE_VER; $score += 3 if $type == EDGE_CROSS; # crossings are doubleplusungood $i += 3; } $score; } sub _create_cell { my ($self,$edge,$x,$y,$type) = @_; my $cells = $self->{cells}; my $xy = "$x,$y"; if (ref($cells->{$xy}) && $cells->{$xy}->isa('Graph::Easy::Edge')) { $cells->{$xy}->_make_cross($edge,$type & EDGE_FLAG_MASK); # insert a EDGE_HOLE into the cells of the edge (but not into the list of # to-be-rendered cells). This cell will be removed by the optimizer later on. Graph::Easy::Edge::Cell->new( type => EDGE_HOLE, edge => $edge, x => $x, y => $y ); return; } my $path = Graph::Easy::Edge::Cell->new( type => $type, edge => $edge, x => $x, y => $y ); $cells->{$xy} = $path; # store in cells } sub _path_is_clear { # For all points (x,y pairs) in the path, check that the cell is still free # $path points to a list of [ x,y,type, x,y,type, ...] my ($self,$path) = @_; my $cells = $self->{cells}; my $i = 0; while ($i < scalar @$path) { my $x = $path->[$i]; my $y = $path->[$i+1]; # my $t = $path->[$i+2]; $i += 3; return 0 if exists $cells->{"$x,$y"}; # obstacle hit } 1; # path is clear } 1; __END__ =head1 NAME Graph::Easy::Layout::Path - Path management for Manhattan-style grids =head1 SYNOPSIS use Graph::Easy; my $graph = Graph::Easy->new(); my $bonn = Graph::Easy::Node->new( name => 'Bonn', ); my $berlin = Graph::Easy::Node->new( name => 'Berlin', ); $graph->add_edge ($bonn, $berlin); $graph->layout(); print $graph->as_ascii( ); # prints: # +------+ +--------+ # | Bonn | --> | Berlin | # +------+ +--------+ =head1 DESCRIPTION C<Graph::Easy::Layout::Scout> contains just the actual path-managing code for L<Graph::Easy|Graph::Easy>, e.g. to create/destroy/maintain paths, node placement etc. =head1 EXPORT Exports nothing. =head1 SEE ALSO L<Graph::Easy>. =head1 METHODS into Graph::Easy This module injects the following methods into C<Graph::Easy>: =head2 _path_is_clear() $graph->_path_is_clear($path); For all points (x,y pairs) in the path, check that the cell is still free. C<$path> points to a list x,y,type pairs as in C<< [ [x,y,type], [x,y,type], ...] >>. =head2 _create_cell() my $cell = $graph->($edge,$x,$y,$type); Create a cell at C<$x,$y> coordinates with type C<$type> for the specified edge. =head2 _path_is_clear() $graph->_path_is_clear(); For all points (x,y pairs) in the path, check that the cell is still free. C<$path> points to a list of C<[ x,y,type, x,y,type, ...]>. Returns true when the path is clear, false otherwise. =head2 _trace_path() my $path = my $graph->_trace_path($src,$dst,$edge); Find a free way from source node/group to destination node/group for the specified edge. Both source and destination need to be placed beforehand. =head1 METHODS in Graph::Easy::Node This module injects the following methods into C<Graph::Easy::Node>: =head2 _near_places() my $node->_near_places(); Take a node and return a list of possible placements around it and prune out already occupied cells. $d is the distance from the node border and defaults to two (for placements). Set it to one for adjacent cells. =head2 _shuffle_dir() my $dirs = $node->_shuffle_dir( [ 0,1,2,3 ], $dir); Take a ref to an array with four entries and shuffle them around according to C<$dir>. =head2 _shift() my $dir = $node->_shift($degrees); Return a the C<flow()> direction shifted by X degrees to C<$dir>. =head1 AUTHOR Copyright (C) 2004 - 2007 by Tels L<http://bloodgate.com>. See the LICENSE file for information. =cut