author | wenzelm |
Mon, 10 Dec 2012 19:42:58 +0100 | |
changeset 50467 | 4b0e69dc9db8 |
parent 49746 | 5073cb632b6c |
child 50468 | 7a2a4b84c5ee |
permissions | -rw-r--r-- |
49557
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
1 |
/* Title: Tools/Graphview/src/layout_pendulum.scala |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
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2 |
Author: Markus Kaiser, TU Muenchen |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
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3 |
|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
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4 |
Pendulum DAG layout algorithm. |
61988f9df94d
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Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
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5 |
*/ |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
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|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
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|
7 |
package isabelle.graphview |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
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|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
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9 |
|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
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10 |
import isabelle._ |
61988f9df94d
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parents:
diff
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|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
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|
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object Layout_Pendulum |
14 |
{ |
|
49557
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added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
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type Key = String |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
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16 |
type Point = (Double, Double) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
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17 |
type Coordinates = Map[Key, Point] |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
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18 |
type Level = List[Key] |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
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19 |
type Levels = List[Level] |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
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type Layout = (Coordinates, Map[(Key, Key), List[Point]]) |
49565
ea4308b7ef0f
ML support for generic graph display, with browser and graphview backends (via print modes);
wenzelm
parents:
49557
diff
changeset
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type Dummies = (Model.Graph, List[Key], Map[Key, Int]) |
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61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
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|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
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val x_distance = 350 |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
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val y_distance = 350 |
61988f9df94d
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Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
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val pendulum_iterations = 10 |
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dd6fc7c9504a
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wenzelm
parents:
49565
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val minimize_crossings_iterations = 40 |
49557
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
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|
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dd6fc7c9504a
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wenzelm
parents:
49565
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def apply(graph: Model.Graph): Layout = |
dd6fc7c9504a
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wenzelm
parents:
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{ |
dd6fc7c9504a
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parents:
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if (graph.is_empty) |
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(Map.empty[Key, Point], Map.empty[(Key, Key), List[Point]]) |
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61988f9df94d
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Markus Kaiser <markus.kaiser@in.tum.de>
parents:
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else { |
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val initial_levels = level_map(graph) |
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61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
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val (dummy_graph, dummies, dummy_levels) = |
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((graph, Map.empty[(Key, Key), List[Key]], initial_levels) /: graph.keys) { |
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case ((graph, dummies, levels), from) => |
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61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
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((graph, dummies, levels) /: graph.imm_succs(from)) { |
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case ((graph, dummies, levels), to) => |
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if (levels(to) - levels(from) <= 1) (graph, dummies, levels) |
|
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else |
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add_dummies(graph, from, to, levels) match { |
|
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61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
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case (next, ds, ls) => (next, dummies + ((from, to) -> ds), ls) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
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} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
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} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
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} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
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|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
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val levels = |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
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minimize_crossings( |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
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dummy_graph, |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
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level_list(dummy_levels) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
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) |
61988f9df94d
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Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
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|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
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val coords = |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
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pendulum(dummy_graph, |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
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levels, |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
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initial_coordinates(levels) |
61988f9df94d
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Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
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) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
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|
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dd6fc7c9504a
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wenzelm
parents:
49565
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val dummy_coords = |
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(Map.empty[(Key, Key), List[Point]] /: dummies.keys) { |
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Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
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case (map, key) => map + (key -> dummies(key).map(coords(_))) |
61988f9df94d
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parents:
diff
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} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
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|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
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(coords, dummy_coords) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
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} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
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|
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} |
49737
dd6fc7c9504a
avoid somewhat heavy rebuilding of SortedMap via map where plain iteration is sufficient;
wenzelm
parents:
49565
diff
changeset
|
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|
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|
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def add_dummies(graph: Model.Graph, from: Key, to: Key, levels: Map[Key, Int]): Dummies = |
|
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{ |
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val ds = |
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((levels(from) + 1) until levels(to)) |
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.map("%s$%s$%d" format (from, to, _)).toList |
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||
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val ls = |
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(levels /: ((levels(from) + 1) until levels(to)).zip(ds)) { |
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case (ls, (l, d)) => ls + (d -> l) |
|
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} |
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||
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val graph1 = (graph /: ds)(_.new_node(_, Model.empty_info)) |
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val graph2 = |
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(graph1.del_edge(from, to) /: (from :: ds ::: List(to)).sliding(2)) { |
|
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case (g, List(x, y)) => g.add_edge(x, y) |
|
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} |
|
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(graph2, ds, ls) |
|
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} |
|
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||
49565
ea4308b7ef0f
ML support for generic graph display, with browser and graphview backends (via print modes);
wenzelm
parents:
49557
diff
changeset
|
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def level_map(graph: Model.Graph): Map[Key, Int] = |
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(Map.empty[Key, Int] /: graph.topological_order) { |
49557
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
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(levels, key) => { |
49737
dd6fc7c9504a
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wenzelm
parents:
49565
diff
changeset
|
92 |
val lev = 1 + (-1 /: graph.imm_preds(key)) { case (m, key) => m max levels(key) } |
dd6fc7c9504a
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wenzelm
parents:
49565
diff
changeset
|
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levels + (key -> lev) |
dd6fc7c9504a
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wenzelm
parents:
49565
diff
changeset
|
94 |
} |
dd6fc7c9504a
avoid somewhat heavy rebuilding of SortedMap via map where plain iteration is sufficient;
wenzelm
parents:
49565
diff
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|
95 |
} |
49557
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
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|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
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def level_list(map: Map[Key, Int]): Levels = |
49737
dd6fc7c9504a
avoid somewhat heavy rebuilding of SortedMap via map where plain iteration is sufficient;
wenzelm
parents:
49565
diff
changeset
|
98 |
{ |
dd6fc7c9504a
avoid somewhat heavy rebuilding of SortedMap via map where plain iteration is sufficient;
wenzelm
parents:
49565
diff
changeset
|
99 |
val max_lev = (-1 /: map) { case (m, (_, l)) => m max l } |
dd6fc7c9504a
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wenzelm
parents:
49565
diff
changeset
|
100 |
val buckets = new Array[Level](max_lev + 1) |
dd6fc7c9504a
avoid somewhat heavy rebuilding of SortedMap via map where plain iteration is sufficient;
wenzelm
parents:
49565
diff
changeset
|
101 |
for (l <- 0 to max_lev) { buckets(l) = Nil } |
dd6fc7c9504a
avoid somewhat heavy rebuilding of SortedMap via map where plain iteration is sufficient;
wenzelm
parents:
49565
diff
changeset
|
102 |
for ((key, l) <- map) { buckets(l) = key :: buckets(l) } |
dd6fc7c9504a
avoid somewhat heavy rebuilding of SortedMap via map where plain iteration is sufficient;
wenzelm
parents:
49565
diff
changeset
|
103 |
buckets.iterator.map(_.sorted).toList |
dd6fc7c9504a
avoid somewhat heavy rebuilding of SortedMap via map where plain iteration is sufficient;
wenzelm
parents:
49565
diff
changeset
|
104 |
} |
dd6fc7c9504a
avoid somewhat heavy rebuilding of SortedMap via map where plain iteration is sufficient;
wenzelm
parents:
49565
diff
changeset
|
105 |
|
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def count_crossings(graph: Model.Graph, levels: Levels): Int = |
107 |
{ |
|
49557
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
108 |
def in_level(ls: Levels): Int = ls match { |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
109 |
case List(top, bot) => |
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top.iterator.zipWithIndex.map { |
111 |
case (outer_parent, outer_parent_index) => |
|
112 |
graph.imm_succs(outer_parent).iterator.map(bot.indexOf(_)) |
|
113 |
.map(outer_child => |
|
49557
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
114 |
(0 until outer_parent_index) |
49746 | 115 |
.map(inner_parent => |
116 |
graph.imm_succs(top(inner_parent)).iterator.map(bot.indexOf(_)) |
|
49557
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
117 |
.filter(inner_child => outer_child < inner_child) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
118 |
.size |
61988f9df94d
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parents:
diff
changeset
|
119 |
).sum |
49746 | 120 |
).sum |
49557
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Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
121 |
}.sum |
49746 | 122 |
|
49557
61988f9df94d
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parents:
diff
changeset
|
123 |
case _ => 0 |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
124 |
} |
49746 | 125 |
|
126 |
levels.iterator.sliding(2).map(ls => in_level(ls.toList)).sum |
|
49557
61988f9df94d
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Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
127 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
128 |
|
49745 | 129 |
def minimize_crossings(graph: Model.Graph, levels: Levels): Levels = |
130 |
{ |
|
49557
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
131 |
def resort_level(parent: Level, child: Level, top_down: Boolean): Level = |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
132 |
child.map(k => { |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
133 |
val ps = if (top_down) graph.imm_preds(k) else graph.imm_succs(k) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
134 |
val weight = |
49745 | 135 |
(0.0 /: ps) { |
49557
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
136 |
(w, p) => w + math.max(0, parent.indexOf(p)) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
137 |
} / math.max(ps.size, 1) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
138 |
(k, weight) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
139 |
}).sortBy(_._2).map(_._1) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
140 |
|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
141 |
def resort(levels: Levels, top_down: Boolean) = top_down match { |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
142 |
case true => |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
143 |
(List[Level](levels.head) /: levels.tail) { |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
144 |
(tops, bot) => resort_level(tops.head, bot, top_down) :: tops |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
145 |
}.reverse |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
146 |
|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
147 |
case false => |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
148 |
(List[Level](levels.reverse.head) /: levels.reverse.tail) { |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
149 |
(bots, top) => resort_level(bots.head, top, top_down) :: bots |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
150 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
151 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
152 |
|
49737
dd6fc7c9504a
avoid somewhat heavy rebuilding of SortedMap via map where plain iteration is sufficient;
wenzelm
parents:
49565
diff
changeset
|
153 |
((levels, count_crossings(graph, levels), true) /: (1 to minimize_crossings_iterations)) { |
49557
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
154 |
case ((old_levels, old_crossings, top_down), _) => { |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
155 |
val new_levels = resort(old_levels, top_down) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
156 |
val new_crossings = count_crossings(graph, new_levels) |
49737
dd6fc7c9504a
avoid somewhat heavy rebuilding of SortedMap via map where plain iteration is sufficient;
wenzelm
parents:
49565
diff
changeset
|
157 |
if (new_crossings < old_crossings) |
49557
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
158 |
(new_levels, new_crossings, !top_down) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
159 |
else |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
160 |
(old_levels, old_crossings, !top_down) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
161 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
162 |
}._1 |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
163 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
164 |
|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
165 |
def initial_coordinates(levels: Levels): Coordinates = |
50467 | 166 |
(Map.empty[Key, Point] /: levels.zipWithIndex){ |
49557
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
167 |
case (coords, (level, yi)) => |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
168 |
(coords /: level.zipWithIndex) { |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
169 |
case (coords, (node, xi)) => |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
170 |
coords + (node -> (xi * x_distance, yi * y_distance)) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
171 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
172 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
173 |
|
49565
ea4308b7ef0f
ML support for generic graph display, with browser and graphview backends (via print modes);
wenzelm
parents:
49557
diff
changeset
|
174 |
def pendulum(graph: Model.Graph, |
49557
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
175 |
levels: Levels, coords: Map[Key, Point]): Coordinates = |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
176 |
{ |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
177 |
type Regions = List[List[Region]] |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
178 |
|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
179 |
def iteration(regions: Regions, coords: Coordinates, |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
180 |
top_down: Boolean): (Regions, Coordinates, Boolean) = |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
181 |
{ |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
182 |
val (nextr, nextc, moved) = |
50467 | 183 |
((List.empty[List[Region]], coords, false) /: |
49557
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
184 |
(if (top_down) regions else regions.reverse)) { |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
185 |
case ((tops, coords, prev_moved), bot) => { |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
186 |
val nextb = collapse(coords, bot, top_down) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
187 |
val (nextc, this_moved) = deflect(coords, nextb, top_down) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
188 |
(nextb :: tops, nextc, prev_moved || this_moved) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
189 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
190 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
191 |
|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
192 |
(nextr.reverse, nextc, moved) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
193 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
194 |
|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
195 |
def collapse(coords: Coordinates, level: List[Region], |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
196 |
top_down: Boolean): List[Region] = |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
197 |
if (level.size <= 1) level |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
198 |
else { |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
199 |
var next = level |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
200 |
var regions_changed = true |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
201 |
while (regions_changed) { |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
202 |
regions_changed = false |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
203 |
for (i <- (next.length to 1)) { |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
204 |
val (r1, r2) = (next(i-1), next(i)) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
205 |
val d1 = r1.deflection(coords, top_down) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
206 |
val d2 = r2.deflection(coords, top_down) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
207 |
|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
208 |
if ( |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
209 |
// Do regions touch? |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
210 |
r1.distance(coords, r2) <= x_distance && |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
211 |
// Do they influence each other? |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
212 |
(d1 <= 0 && d2 < d1 || d2 > 0 && d1 > d2 || d1 > 0 && d2 < 0) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
213 |
) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
214 |
{ |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
215 |
regions_changed = true |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
216 |
r1.nodes = r1.nodes ::: r2.nodes |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
217 |
next = next.filter(next.indexOf(_) != i) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
218 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
219 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
220 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
221 |
next |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
222 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
223 |
|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
224 |
def deflect(coords: Coordinates, level: List[Region], |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
225 |
top_down: Boolean): (Coordinates, Boolean) = |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
226 |
((coords, false) /: (0 until level.length)) { |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
227 |
case ((coords, moved), i) => { |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
228 |
val r = level(i) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
229 |
val d = r.deflection(coords, top_down) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
230 |
val offset = { |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
231 |
if (i == 0 && d <= 0) d |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
232 |
else if (i == level.length - 1 && d >= 0) d |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
233 |
else if (d < 0) { |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
234 |
val prev = level(i-1) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
235 |
math.max( -(r.distance(coords, prev) - x_distance), d ) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
236 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
237 |
else { |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
238 |
val next = level(i+1) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
239 |
math.min( r.distance(coords, next) - x_distance, d ) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
240 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
241 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
242 |
|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
243 |
(r.move(coords, offset), moved || (d != 0)) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
244 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
245 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
Markus Kaiser <markus.kaiser@in.tum.de>
parents:
diff
changeset
|
246 |
|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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val regions = levels.map(level => level.map(new Region(graph, _))) |
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|
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parents:
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249 |
((regions, coords, true, true) /: (1 to pendulum_iterations)) { |
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case ((regions, coords, top_down, moved), _) => |
49557
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if (moved) { |
61988f9df94d
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parents:
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val (nextr, nextc, m) = iteration(regions, coords, top_down) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
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(nextr, nextc, !top_down, m) |
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} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
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else (regions, coords, !top_down, moved) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
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}._2 |
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parents:
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257 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
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258 |
|
49565
ea4308b7ef0f
ML support for generic graph display, with browser and graphview backends (via print modes);
wenzelm
parents:
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diff
changeset
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259 |
protected class Region(val graph: Model.Graph, node: Key) { |
49557
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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var nodes: List[Key] = List(node) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
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changeset
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|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
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def left(coords: Coordinates): Double = |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
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changeset
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nodes.map(coords(_)._1).min |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
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def right(coords: Coordinates): Double = |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
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nodes.map(coords(_)._1).max |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
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def distance(coords: Coordinates, to: Region): Double = |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
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math.min(math.abs(left(coords) - to.left(coords)), |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
268 |
math.abs(right(coords) - to.right(coords))) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
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changeset
|
269 |
|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
270 |
def deflection(coords: Coordinates, use_preds: Boolean) = |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
271 |
nodes.map(k => (coords(k)._1, |
49737
dd6fc7c9504a
avoid somewhat heavy rebuilding of SortedMap via map where plain iteration is sufficient;
wenzelm
parents:
49565
diff
changeset
|
272 |
if (use_preds) graph.imm_preds(k).toList // FIXME iterator |
49557
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
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|
273 |
else graph.imm_succs(k).toList)) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
274 |
.map({case (x, as) => as.map(coords(_)._1 - x).sum / math.max(as.length, 1)}) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
275 |
.sum / nodes.length |
61988f9df94d
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parents:
diff
changeset
|
276 |
|
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
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|
277 |
def move(coords: Coordinates, by: Double): Coordinates = |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
278 |
(coords /: nodes) { |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
279 |
(cs, node) => { |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
280 |
val (x, y) = cs(node) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
281 |
cs + (node -> (x + by, y)) |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
282 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
283 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
284 |
} |
61988f9df94d
added Graphview tool, based on Isabelle/Scala and Swing/Graphics2D;
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parents:
diff
changeset
|
285 |
} |