#  Copyright (c) 1997-2018
#  Ewgenij Gawrilow, Michael Joswig (Technische Universitaet Berlin, Germany)
#  http://www.polymake.org
#
#  This program is free software; you can redistribute it and/or modify it
#  under the terms of the GNU General Public License as published by the
#  Free Software Foundation; either version 2, or (at your option) any
#  later version: http://www.gnu.org/licenses/gpl.txt.
#
#  This program is distributed in the hope that it will be useful,
#  but WITHOUT ANY WARRANTY; without even the implied warranty of
#  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
#  GNU General Public License for more details.
#-------------------------------------------------------------------------------

package Visual::Color;

# graph edges: black
custom $graph="0 0 0";

require Visual::Graph;
require Visual::Lattice;

# @topic objects/Visual::Graph
# @category Visualization
# Collection of nodes and edges of an abstract graph amended with visual decoration attributes
# and an optional embedding in 3-d.
# @super Visual::Object

# @topic objects/Visual::Lattice
# @category Visualization
# Collection of nodes (representing faces of a face lattice) and edges (representing the inclusion relation)
# amended with visual decoration attributes and an optional embedding in 2-d.
# @super Visual::Graph

# @category Visualization
# Attributes modifying the appearance of graphs

options %Visual::Graph::decorations=(
   %Visual::Wire::decorations,

   # Matrix<Float>  2-d or 3-d coordinates of the nodes.
   #                If not specified, a random embedding is generated using a pseudo-physical spring model
   Coord => undef,

   # Flexible<RGB>  alias for PointColor
   NodeColor => undef,

   # Flexible<Float>  alias for PointThickness
   NodeThickness => undef,

   # Flexible<RGB>  alias for PointBorderColor
   NodeBorderColor => undef,

   # Flexible<Float>  alias for PointBorderThickness
   NodeBorderThickness => undef,

   # Flexible<String>  alias for PointStyle
   NodeStyle => undef,

   # String  alias for PointLabels
   NodeLabels => undef,
   
   # Flexible<Int>  How to draw directed edges: 0 (like undirected), 1 (with an arrow pointing towards the edge),
   #                or -1 (with an arrow pointing against the edge).  Default is 1 for directed graphs and lattices.
   ArrowStyle => undef,
);


# @category Visualization
# Attributes modifying the appearance of face lattices

options %Visual::Lattice::decorations=(
   %Visual::Graph::decorations,

   # Array<String>  Labels of atoms, to use as building blocks for node labels.  By default the ordinal numbers are taken.
   AtomLabels => undef,
);

###############################################################################
#
# Home-made 3-d spring embedder with variations
#
package Visual::GraphEmbedding;

# Tuning parameters for the graph embedder.
# Almost all are multiplicative factors; the comments describe
# the effect of INCREASING of the corresponding parameter.
custom %graph_parameters=(
   scale => 1,           # Float  the average edge length increases
   inertion => 0.1,      # Float  the computations might converge more slowly, but more steadily
   viscosity => 1,       # Float  improves the convergence at the risk of being stuck at a bad local minimum
   balance => 10,        # Float  the non-neighbor nodes are more spread away from each other
   'max-iterations' => 10000,  # Int  The iteration limit. Not multiplicative!
);

# Additional tuning parameters for the interactive spring embedder.
custom %interactive_parameters=(
   eps => 1e-4           # Float  the relative movement to be accepted as "no movement"
);

@ISA=qw( Visual::DynamicCoords );

# perform static computations
sub compute {
   my ($self)=@_;
   $self->merge_options(\%graph_parameters);
   spring_embedder($self->source, $self->options);
}

# run interactive embedder
sub run {
   my ($self, $window)=@_;
   my $n=$self->source->nodes;
   
   $self->merge_options(\%graph_parameters);
   $self->merge_options(\%interactive_parameters);
   if (!is_connected($self->source)) { 
      $self->source=component_connector($self->source);
   }    
   $self->coord=[0..$n-1];
   $self->client_object=interactive_spring_embedder($self->source, $self->options);
   $window->client_port=$self->client_object->port;
}

# copy a graph and add a fully connected vertex to it
sub component_connector {
   my ($self)=@_;
   $self=new props::Graph($self);
   $self->squeeze;
   $self->add_node;
   my $n=$self->nodes-1;
      for (my $v=0; $v<$n; ++$v) {
         $self->add_edge($v,$n);
      }
   return ($self);
}

sub cols { 3 }

###############################################################################

package Visual::HDEmbedding;

use Polymake::Struct (
   [ '@ISA' => 'DynamicCoords' ],
   '@label_width',
);

sub compute {
   my ($self)=@_;
   hd_embedder($self->source, $self->label_width, $self->options);
}

sub cols { 2 }

###############################################################################

package application;

# Graph object, { optional parameters } => Visual::GraphEmbedding
function spring_embedding_3d {
    my $g_undir=new Graph<Undirected>(ADJACENCY=>$_[0]);
    $_[0]=$g_undir->ADJACENCY;
    new Visual::GraphEmbedding(@_);
}

# Lattice object, { optional parameters } => Visual::HDEmbedding
function hd_embedding {
   new Visual::HDEmbedding(@_);
}

function enforce_static(Visual::Graph) {
   enforce_static_coord($_[0], "Vertices");
}

###############################################################################

object Graph {

# Visualizes the graph.
# @category Visualization
# Decorations may include ''Coord'', disabling the default spring embedder.
# @options %Visual::Graph::decorations
# @option Int seed random seed value for the spring embedder
# @return Visual::Graph
# @example [notest] The following visualizes the petersen graph with default settings:
# > petersen()->VISUAL;
# The following shows some modified visualization style of the same graph:
# > petersen()->VISUAL(NodeColor=>"green",NodeThickness=>6,EdgeColor=>"purple",EdgeThickness=>4);

user_method VISUAL(%Visual::Graph::decorations, { seed => undef }) : ADJACENCY {
   my ($this, $decor, $seed)=@_;
   my $coord=delete $decor->{Coord};
   if (defined $coord) {
      if (instanceof Matrix($coord)) {
         $coord=convert_to<Float>($coord);
      } else {
         $coord=new Matrix<Float>($coord);
      }
   } else {
      $coord=spring_embedding_3d($this->ADJACENCY->has_gaps ? renumber_nodes($this->ADJACENCY) : $this->ADJACENCY, $seed);
   }
   visualize( new Visual::Graph( Name => $this->name,
                                 Graph => $this,
                                 NodeLabels => $this->lookup("NODE_LABELS"),
                                 Coord => $coord,
                                 $decor,
                               ));
}

}

###############################################################################

# @category Visualization
object Lattice {

# Visualize the Lattice.
# @category Visualization
# @options %Visual::Lattice::decorations
# @option Int seed random seed value for the node placement
# @return Visual::Lattice
# @example [notest] The following visualizes the face lattice of the 2-simplex (triangle) with default settings:
# > simplex(2)->HASSE_DIAGRAM->VISUAL;
# The following shows some modified visualization style of the same lattice:
# > simplex(2)->HASSE_DIAGRAM->VISUAL(NodeColor=>"green",EdgeThickness=>2,EdgeColor=>"purple");

user_method VISUAL(%Visual::Lattice::decorations, { seed => undef }) {
   my ($this, $decor, $seed)=@_;
   my $top_node=$this->TOP_NODE;
   my $bottom_node = $this->BOTTOM_NODE;
   my $VL=new Visual::Lattice( Name => $this->name,
                               Graph => $this,
                               Faces => $this->FACES,
                               top_node => $top_node,
                               bottom_node => $bottom_node,
                               Dims => $this->INVERSE_RANK_MAP,
                               ArrowStyle => 0,
                               NodeBorderColor => "0 0 0",
                               Coord => hd_embedding($this,$seed),
                               $decor
                             );
   my $black_top_node=sub { $_[0]==$top_node ? "0 0 0" : undef };
   $VL->merge(NodeColor => $black_top_node);
   if (exists $decor->{NodeBorderColor}) { $VL->merge(NodeBorderColor => $black_top_node); }
   visualize($VL);
}

# Visualize the dual Lattice.
# @category Visualization
# This only produces meaningful results for lattice where the
# codimension one nodes generate the lattice under intersection.
# @options %Visual::Lattice::decorations
# @option Int seed random seed value for the node placement
# @return Visual::Lattice
# @example [notest] The following visualizes the dual face lattice of the 2-simplex (triangle) with default settings:
# > simplex(2)->HASSE_DIAGRAM->VISUAL_DUAL;
# The following shows some modified visualization style of the same lattice:
# > simplex(2)->HASSE_DIAGRAM->VISUAL_DUAL(NodeColor=>"green",EdgeThickness=>2,EdgeColor=>"purple");
user_method VISUAL_DUAL(%Visual::Lattice::decorations, { seed => undef }) {
   my ($this, $decor, $seed)=@_;
   my $top_node=$this->TOP_NODE;
   my $bottom_node = $this->BOTTOM_NODE;
   my $VL=new Visual::Lattice( Name => "Dual to ".$this->name,
                               Graph => $this,
                               Faces => $this->dual_faces,
                               Mode => "dual",
                               top_node => $top_node,
                               bottom_node => $bottom_node,
                               ArrowStyle => 0,
                               NodeBorderColor => "0 0 0",
                               Coord => hd_embedding($this,$seed),
                               $decor
                             );
   my $black_top_node=sub { $_[0]==$top_node ? "0 0 0" : undef };
   $VL->merge(NodeColor => $black_top_node);
   if (exists $decor->{NodeBorderColor}) { $VL->merge(NodeBorderColor => $black_top_node); }
   visualize($VL);
}

}

# @category Visualization
# Write a graph in LEDA input format.
# @param props::Graph G
user_function LEDA_graph(props::Graph $) {
   my ($G, $out)=@_;
   my $n=$G->nodes;
   print $out <<".", ("|{}|\n")x$n, $G->edges, "\n";
LEDA.GRAPH


$n
.
   for (my $e=entire(edges($G)); $e; ++$e) {
      print $out $e->from_node, " ", $e->to_node, " 0 |{}|\n";
   }
}

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