feature: vor und nachteile

praesentation/node_modules/dagre-d3-es/src/dagre/order/add-subgraph-constraints.d.ts

@@ -0,0 +1 @@
+export function addSubgraphConstraints(g: any, cg: any, vs: any): void;

praesentation/node_modules/dagre-d3-es/src/dagre/order/add-subgraph-constraints.js

@@ -0,0 +1,53 @@
+import * as _ from 'lodash-es';
+
+export { addSubgraphConstraints };
+
+function addSubgraphConstraints(g, cg, vs) {
+  var prev = {},
+    rootPrev;
+
+  _.forEach(vs, function (v) {
+    var child = g.parent(v),
+      parent,
+      prevChild;
+    while (child) {
+      parent = g.parent(child);
+      if (parent) {
+        prevChild = prev[parent];
+        prev[parent] = child;
+      } else {
+        prevChild = rootPrev;
+        rootPrev = child;
+      }
+      if (prevChild && prevChild !== child) {
+        cg.setEdge(prevChild, child);
+        return;
+      }
+      child = parent;
+    }
+  });
+
+  /*
+  function dfs(v) {
+    var children = v ? g.children(v) : g.children();
+    if (children.length) {
+      var min = Number.POSITIVE_INFINITY,
+          subgraphs = [];
+      _.each(children, function(child) {
+        var childMin = dfs(child);
+        if (g.children(child).length) {
+          subgraphs.push({ v: child, order: childMin });
+        }
+        min = Math.min(min, childMin);
+      });
+      _.reduce(_.sortBy(subgraphs, "order"), function(prev, curr) {
+        cg.setEdge(prev.v, curr.v);
+        return curr;
+      });
+      return min;
+    }
+    return g.node(v).order;
+  }
+  dfs(undefined);
+  */
+}

praesentation/node_modules/dagre-d3-es/src/dagre/order/barycenter.d.ts

@@ -0,0 +1,9 @@
+export function barycenter(g: any, movable: any): ({
+    v: any;
+    barycenter?: undefined;
+    weight?: undefined;
+} | {
+    v: any;
+    barycenter: number;
+    weight: any;
+})[];

praesentation/node_modules/dagre-d3-es/src/dagre/order/barycenter.js

@@ -0,0 +1,31 @@
+import * as _ from 'lodash-es';
+
+export { barycenter };
+
+function barycenter(g, movable) {
+  return _.map(movable, function (v) {
+    var inV = g.inEdges(v);
+    if (!inV.length) {
+      return { v: v };
+    } else {
+      var result = _.reduce(
+        inV,
+        function (acc, e) {
+          var edge = g.edge(e),
+            nodeU = g.node(e.v);
+          return {
+            sum: acc.sum + edge.weight * nodeU.order,
+            weight: acc.weight + edge.weight,
+          };
+        },
+        { sum: 0, weight: 0 },
+      );
+
+      return {
+        v: v,
+        barycenter: result.sum / result.weight,
+        weight: result.weight,
+      };
+    }
+  });
+}

praesentation/node_modules/dagre-d3-es/src/dagre/order/build-layer-graph.d.ts

@@ -0,0 +1,2 @@
+export function buildLayerGraph(g: any, rank: any, relationship: any): Graph<any, any, any>;
+import { Graph } from '../../graphlib/index.js';

praesentation/node_modules/dagre-d3-es/src/dagre/order/build-layer-graph.js

@@ -0,0 +1,76 @@
+import * as _ from 'lodash-es';
+import { Graph } from '../../graphlib/index.js';
+
+export { buildLayerGraph };
+
+/*
+ * Constructs a graph that can be used to sort a layer of nodes. The graph will
+ * contain all base and subgraph nodes from the request layer in their original
+ * hierarchy and any edges that are incident on these nodes and are of the type
+ * requested by the "relationship" parameter.
+ *
+ * Nodes from the requested rank that do not have parents are assigned a root
+ * node in the output graph, which is set in the root graph attribute. This
+ * makes it easy to walk the hierarchy of movable nodes during ordering.
+ *
+ * Pre-conditions:
+ *
+ *    1. Input graph is a DAG
+ *    2. Base nodes in the input graph have a rank attribute
+ *    3. Subgraph nodes in the input graph has minRank and maxRank attributes
+ *    4. Edges have an assigned weight
+ *
+ * Post-conditions:
+ *
+ *    1. Output graph has all nodes in the movable rank with preserved
+ *       hierarchy.
+ *    2. Root nodes in the movable layer are made children of the node
+ *       indicated by the root attribute of the graph.
+ *    3. Non-movable nodes incident on movable nodes, selected by the
+ *       relationship parameter, are included in the graph (without hierarchy).
+ *    4. Edges incident on movable nodes, selected by the relationship
+ *       parameter, are added to the output graph.
+ *    5. The weights for copied edges are aggregated as need, since the output
+ *       graph is not a multi-graph.
+ */
+function buildLayerGraph(g, rank, relationship) {
+  var root = createRootNode(g),
+    result = new Graph({ compound: true })
+      .setGraph({ root: root })
+      .setDefaultNodeLabel(function (v) {
+        return g.node(v);
+      });
+
+  _.forEach(g.nodes(), function (v) {
+    var node = g.node(v),
+      parent = g.parent(v);
+
+    if (node.rank === rank || (node.minRank <= rank && rank <= node.maxRank)) {
+      result.setNode(v);
+      result.setParent(v, parent || root);
+
+      // This assumes we have only short edges!
+      _.forEach(g[relationship](v), function (e) {
+        var u = e.v === v ? e.w : e.v,
+          edge = result.edge(u, v),
+          weight = !_.isUndefined(edge) ? edge.weight : 0;
+        result.setEdge(u, v, { weight: g.edge(e).weight + weight });
+      });
+
+      if (Object.prototype.hasOwnProperty.call(node, 'minRank')) {
+        result.setNode(v, {
+          borderLeft: node.borderLeft[rank],
+          borderRight: node.borderRight[rank],
+        });
+      }
+    }
+  });
+
+  return result;
+}
+
+function createRootNode(g) {
+  var v;
+  while (g.hasNode((v = _.uniqueId('_root'))));
+  return v;
+}

praesentation/node_modules/dagre-d3-es/src/dagre/order/cross-count.d.ts

@@ -0,0 +1 @@
+export function crossCount(g: any, layering: any): number;

praesentation/node_modules/dagre-d3-es/src/dagre/order/cross-count.js

@@ -0,0 +1,79 @@
+import * as _ from 'lodash-es';
+
+export { crossCount };
+
+/*
+ * A function that takes a layering (an array of layers, each with an array of
+ * ordererd nodes) and a graph and returns a weighted crossing count.
+ *
+ * Pre-conditions:
+ *
+ *    1. Input graph must be simple (not a multigraph), directed, and include
+ *       only simple edges.
+ *    2. Edges in the input graph must have assigned weights.
+ *
+ * Post-conditions:
+ *
+ *    1. The graph and layering matrix are left unchanged.
+ *
+ * This algorithm is derived from Barth, et al., "Bilayer Cross Counting."
+ */
+function crossCount(g, layering) {
+  var cc = 0;
+  for (var i = 1; i < layering.length; ++i) {
+    cc += twoLayerCrossCount(g, layering[i - 1], layering[i]);
+  }
+  return cc;
+}
+
+function twoLayerCrossCount(g, northLayer, southLayer) {
+  // Sort all of the edges between the north and south layers by their position
+  // in the north layer and then the south. Map these edges to the position of
+  // their head in the south layer.
+  var southPos = _.zipObject(
+    southLayer,
+    _.map(southLayer, function (v, i) {
+      return i;
+    }),
+  );
+  var southEntries = _.flatten(
+    _.map(northLayer, function (v) {
+      return _.sortBy(
+        _.map(g.outEdges(v), function (e) {
+          return { pos: southPos[e.w], weight: g.edge(e).weight };
+        }),
+        'pos',
+      );
+    }),
+  );
+
+  // Build the accumulator tree
+  var firstIndex = 1;
+  while (firstIndex < southLayer.length) firstIndex <<= 1;
+  var treeSize = 2 * firstIndex - 1;
+  firstIndex -= 1;
+  var tree = _.map(new Array(treeSize), function () {
+    return 0;
+  });
+
+  // Calculate the weighted crossings
+  var cc = 0;
+  _.forEach(
+    // @ts-expect-error
+    southEntries.forEach(function (entry) {
+      var index = entry.pos + firstIndex;
+      tree[index] += entry.weight;
+      var weightSum = 0;
+      while (index > 0) {
+        if (index % 2) {
+          weightSum += tree[index + 1];
+        }
+        index = (index - 1) >> 1;
+        tree[index] += entry.weight;
+      }
+      cc += entry.weight * weightSum;
+    }),
+  );
+
+  return cc;
+}

praesentation/node_modules/dagre-d3-es/src/dagre/order/index.d.ts

@@ -0,0 +1 @@
+export function order(g: any): void;

praesentation/node_modules/dagre-d3-es/src/dagre/order/index.js

@@ -0,0 +1,77 @@
+import * as _ from 'lodash-es';
+import { Graph } from '../../graphlib/index.js';
+import * as util from '../util.js';
+import { addSubgraphConstraints } from './add-subgraph-constraints.js';
+import { buildLayerGraph } from './build-layer-graph.js';
+import { crossCount } from './cross-count.js';
+import { initOrder } from './init-order.js';
+import { sortSubgraph } from './sort-subgraph.js';
+
+export { order };
+
+/*
+ * Applies heuristics to minimize edge crossings in the graph and sets the best
+ * order solution as an order attribute on each node.
+ *
+ * Pre-conditions:
+ *
+ *    1. Graph must be DAG
+ *    2. Graph nodes must be objects with a "rank" attribute
+ *    3. Graph edges must have the "weight" attribute
+ *
+ * Post-conditions:
+ *
+ *    1. Graph nodes will have an "order" attribute based on the results of the
+ *       algorithm.
+ */
+function order(g) {
+  var maxRank = util.maxRank(g),
+    downLayerGraphs = buildLayerGraphs(g, _.range(1, maxRank + 1), 'inEdges'),
+    upLayerGraphs = buildLayerGraphs(g, _.range(maxRank - 1, -1, -1), 'outEdges');
+
+  var layering = initOrder(g);
+  assignOrder(g, layering);
+
+  var bestCC = Number.POSITIVE_INFINITY,
+    best;
+
+  for (var i = 0, lastBest = 0; lastBest < 4; ++i, ++lastBest) {
+    sweepLayerGraphs(i % 2 ? downLayerGraphs : upLayerGraphs, i % 4 >= 2);
+
+    layering = util.buildLayerMatrix(g);
+    var cc = crossCount(g, layering);
+    if (cc < bestCC) {
+      lastBest = 0;
+      best = _.cloneDeep(layering);
+      bestCC = cc;
+    }
+  }
+
+  assignOrder(g, best);
+}
+
+function buildLayerGraphs(g, ranks, relationship) {
+  return _.map(ranks, function (rank) {
+    return buildLayerGraph(g, rank, relationship);
+  });
+}
+
+function sweepLayerGraphs(layerGraphs, biasRight) {
+  var cg = new Graph();
+  _.forEach(layerGraphs, function (lg) {
+    var root = lg.graph().root;
+    var sorted = sortSubgraph(lg, root, cg, biasRight);
+    _.forEach(sorted.vs, function (v, i) {
+      lg.node(v).order = i;
+    });
+    addSubgraphConstraints(lg, cg, sorted.vs);
+  });
+}
+
+function assignOrder(g, layering) {
+  _.forEach(layering, function (layer) {
+    _.forEach(layer, function (v, i) {
+      g.node(v).order = i;
+    });
+  });
+}

praesentation/node_modules/dagre-d3-es/src/dagre/order/init-order.d.ts

@@ -0,0 +1 @@
+export function initOrder(g: any): any[][];

praesentation/node_modules/dagre-d3-es/src/dagre/order/init-order.js

@@ -0,0 +1,42 @@
+import * as _ from 'lodash-es';
+
+/*
+ * Assigns an initial order value for each node by performing a DFS search
+ * starting from nodes in the first rank. Nodes are assigned an order in their
+ * rank as they are first visited.
+ *
+ * This approach comes from Gansner, et al., "A Technique for Drawing Directed
+ * Graphs."
+ *
+ * Returns a layering matrix with an array per layer and each layer sorted by
+ * the order of its nodes.
+ */
+export function initOrder(g) {
+  var visited = {};
+  var simpleNodes = _.filter(g.nodes(), function (v) {
+    return !g.children(v).length;
+  });
+  var maxRank = _.max(
+    _.map(simpleNodes, function (v) {
+      return g.node(v).rank;
+    }),
+  );
+  var layers = _.map(_.range(maxRank + 1), function () {
+    return [];
+  });
+
+  function dfs(v) {
+    if (_.has(visited, v)) return;
+    visited[v] = true;
+    var node = g.node(v);
+    layers[node.rank].push(v);
+    _.forEach(g.successors(v), dfs);
+  }
+
+  var orderedVs = _.sortBy(simpleNodes, function (v) {
+    return g.node(v).rank;
+  });
+  _.forEach(orderedVs, dfs);
+
+  return layers;
+}

praesentation/node_modules/dagre-d3-es/src/dagre/order/resolve-conflicts.d.ts

@@ -0,0 +1 @@
+export function resolveConflicts(entries: any, cg: any): Pick<any, "weight" | "barycenter" | "vs" | "i">[];

praesentation/node_modules/dagre-d3-es/src/dagre/order/resolve-conflicts.js

@@ -0,0 +1,128 @@
+import * as _ from 'lodash-es';
+
+export { resolveConflicts };
+
+/*
+ * Given a list of entries of the form {v, barycenter, weight} and a
+ * constraint graph this function will resolve any conflicts between the
+ * constraint graph and the barycenters for the entries. If the barycenters for
+ * an entry would violate a constraint in the constraint graph then we coalesce
+ * the nodes in the conflict into a new node that respects the contraint and
+ * aggregates barycenter and weight information.
+ *
+ * This implementation is based on the description in Forster, "A Fast and
+ * Simple Hueristic for Constrained Two-Level Crossing Reduction," thought it
+ * differs in some specific details.
+ *
+ * Pre-conditions:
+ *
+ *    1. Each entry has the form {v, barycenter, weight}, or if the node has
+ *       no barycenter, then {v}.
+ *
+ * Returns:
+ *
+ *    A new list of entries of the form {vs, i, barycenter, weight}. The list
+ *    `vs` may either be a singleton or it may be an aggregation of nodes
+ *    ordered such that they do not violate constraints from the constraint
+ *    graph. The property `i` is the lowest original index of any of the
+ *    elements in `vs`.
+ */
+function resolveConflicts(entries, cg) {
+  var mappedEntries = {};
+  _.forEach(entries, function (entry, i) {
+    var tmp = (mappedEntries[entry.v] = {
+      indegree: 0,
+      in: [],
+      out: [],
+      vs: [entry.v],
+      i: i,
+    });
+    if (!_.isUndefined(entry.barycenter)) {
+      // @ts-expect-error
+      tmp.barycenter = entry.barycenter;
+      // @ts-expect-error
+      tmp.weight = entry.weight;
+    }
+  });
+
+  _.forEach(cg.edges(), function (e) {
+    var entryV = mappedEntries[e.v];
+    var entryW = mappedEntries[e.w];
+    if (!_.isUndefined(entryV) && !_.isUndefined(entryW)) {
+      entryW.indegree++;
+      entryV.out.push(mappedEntries[e.w]);
+    }
+  });
+
+  var sourceSet = _.filter(mappedEntries, function (entry) {
+    // @ts-expect-error
+    return !entry.indegree;
+  });
+
+  return doResolveConflicts(sourceSet);
+}
+
+function doResolveConflicts(sourceSet) {
+  var entries = [];
+
+  function handleIn(vEntry) {
+    return function (uEntry) {
+      if (uEntry.merged) {
+        return;
+      }
+      if (
+        _.isUndefined(uEntry.barycenter) ||
+        _.isUndefined(vEntry.barycenter) ||
+        uEntry.barycenter >= vEntry.barycenter
+      ) {
+        mergeEntries(vEntry, uEntry);
+      }
+    };
+  }
+
+  function handleOut(vEntry) {
+    return function (wEntry) {
+      wEntry['in'].push(vEntry);
+      if (--wEntry.indegree === 0) {
+        sourceSet.push(wEntry);
+      }
+    };
+  }
+
+  while (sourceSet.length) {
+    var entry = sourceSet.pop();
+    entries.push(entry);
+    _.forEach(entry['in'].reverse(), handleIn(entry));
+    _.forEach(entry.out, handleOut(entry));
+  }
+
+  return _.map(
+    _.filter(entries, function (entry) {
+      return !entry.merged;
+    }),
+    function (entry) {
+      return _.pick(entry, ['vs', 'i', 'barycenter', 'weight']);
+    },
+  );
+}
+
+function mergeEntries(target, source) {
+  var sum = 0;
+  var weight = 0;
+
+  if (target.weight) {
+    sum += target.barycenter * target.weight;
+    weight += target.weight;
+  }
+
+  if (source.weight) {
+    sum += source.barycenter * source.weight;
+    weight += source.weight;
+  }
+
+  target.vs = source.vs.concat(target.vs);
+  target.barycenter = sum / weight;
+  target.weight = weight;
+  target.i = Math.min(source.i, target.i);
+  source.merged = true;
+}

praesentation/node_modules/dagre-d3-es/src/dagre/order/sort-subgraph.d.ts

@@ -0,0 +1,3 @@
+export function sortSubgraph(g: any, v: any, cg: any, biasRight: any): {
+    vs: any[];
+};

praesentation/node_modules/dagre-d3-es/src/dagre/order/sort-subgraph.js

@@ -0,0 +1,78 @@
+import * as _ from 'lodash-es';
+import { barycenter } from './barycenter.js';
+import { resolveConflicts } from './resolve-conflicts.js';
+import { sort } from './sort.js';
+
+export { sortSubgraph };
+
+function sortSubgraph(g, v, cg, biasRight) {
+  var movable = g.children(v);
+  var node = g.node(v);
+  var bl = node ? node.borderLeft : undefined;
+  var br = node ? node.borderRight : undefined;
+  var subgraphs = {};
+
+  if (bl) {
+    movable = _.filter(movable, function (w) {
+      return w !== bl && w !== br;
+    });
+  }
+
+  var barycenters = barycenter(g, movable);
+  _.forEach(barycenters, function (entry) {
+    if (g.children(entry.v).length) {
+      var subgraphResult = sortSubgraph(g, entry.v, cg, biasRight);
+      subgraphs[entry.v] = subgraphResult;
+      if (Object.prototype.hasOwnProperty.call(subgraphResult, 'barycenter')) {
+        mergeBarycenters(entry, subgraphResult);
+      }
+    }
+  });
+
+  var entries = resolveConflicts(barycenters, cg);
+  expandSubgraphs(entries, subgraphs);
+
+  var result = sort(entries, biasRight);
+
+  if (bl) {
+    result.vs = _.flatten([bl, result.vs, br]);
+    if (g.predecessors(bl).length) {
+      var blPred = g.node(g.predecessors(bl)[0]),
+        brPred = g.node(g.predecessors(br)[0]);
+      if (!Object.prototype.hasOwnProperty.call(result, 'barycenter')) {
+        result.barycenter = 0;
+        result.weight = 0;
+      }
+      result.barycenter =
+        (result.barycenter * result.weight + blPred.order + brPred.order) / (result.weight + 2);
+      result.weight += 2;
+    }
+  }
+
+  return result;
+}
+
+function expandSubgraphs(entries, subgraphs) {
+  _.forEach(entries, function (entry) {
+    entry.vs = _.flatten(
+      entry.vs.map(function (v) {
+        if (subgraphs[v]) {
+          return subgraphs[v].vs;
+        }
+        return v;
+      }),
+    );
+  });
+}
+
+function mergeBarycenters(target, other) {
+  if (!_.isUndefined(target.barycenter)) {
+    target.barycenter =
+      (target.barycenter * target.weight + other.barycenter * other.weight) /
+      (target.weight + other.weight);
+    target.weight += other.weight;
+  } else {
+    target.barycenter = other.barycenter;
+    target.weight = other.weight;
+  }
+}

praesentation/node_modules/dagre-d3-es/src/dagre/order/sort.d.ts

@@ -0,0 +1,3 @@
+export function sort(entries: any, biasRight: any): {
+    vs: any[];
+};

praesentation/node_modules/dagre-d3-es/src/dagre/order/sort.js

@@ -0,0 +1,59 @@
+import * as _ from 'lodash-es';
+import * as util from '../util.js';
+
+export { sort };
+
+function sort(entries, biasRight) {
+  var parts = util.partition(entries, function (entry) {
+    return Object.prototype.hasOwnProperty.call(entry, 'barycenter');
+  });
+  var sortable = parts.lhs,
+    unsortable = _.sortBy(parts.rhs, function (entry) {
+      return -entry.i;
+    }),
+    vs = [],
+    sum = 0,
+    weight = 0,
+    vsIndex = 0;
+
+  sortable.sort(compareWithBias(!!biasRight));
+
+  vsIndex = consumeUnsortable(vs, unsortable, vsIndex);
+
+  _.forEach(sortable, function (entry) {
+    vsIndex += entry.vs.length;
+    vs.push(entry.vs);
+    sum += entry.barycenter * entry.weight;
+    weight += entry.weight;
+    vsIndex = consumeUnsortable(vs, unsortable, vsIndex);
+  });
+
+  var result = { vs: _.flatten(vs) };
+  if (weight) {
+    result.barycenter = sum / weight;
+    result.weight = weight;
+  }
+  return result;
+}
+
+function consumeUnsortable(vs, unsortable, index) {
+  var last;
+  while (unsortable.length && (last = _.last(unsortable)).i <= index) {
+    unsortable.pop();
+    vs.push(last.vs);
+    index++;
+  }
+  return index;
+}
+
+function compareWithBias(bias) {
+  return function (entryV, entryW) {
+    if (entryV.barycenter < entryW.barycenter) {
+      return -1;
+    } else if (entryV.barycenter > entryW.barycenter) {
+      return 1;
+    }
+
+    return !bias ? entryV.i - entryW.i : entryW.i - entryV.i;
+  };
+}