File size: 8,319 Bytes
fcf3b03
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
import {ascending, min, max, sum} from "d3-array";
import {map, nest} from "d3-collection";
import {justify} from "./align";
import constant from "./constant";

function ascendingSourceBreadth(a, b) {
  return ascendingBreadth(a.source, b.source) || a.index - b.index;
}

function ascendingTargetBreadth(a, b) {
  return ascendingBreadth(a.target, b.target) || a.index - b.index;
}

function ascendingBreadth(a, b) {
  return a.y0 - b.y0;
}

function value(d) {
  return d.value;
}

function nodeCenter(node) {
  return (node.y0 + node.y1) / 2;
}

function weightedSource(link) {
  return nodeCenter(link.source) * link.value;
}

function weightedTarget(link) {
  return nodeCenter(link.target) * link.value;
}

function defaultId(d) {
  return d.index;
}

function defaultNodes(graph) {
  return graph.nodes;
}

function defaultLinks(graph) {
  return graph.links;
}

function find(nodeById, id) {
  var node = nodeById.get(id);
  if (!node) throw new Error("missing: " + id);
  return node;
}

export default function() {
  var x0 = 0, y0 = 0, x1 = 1, y1 = 1, // extent
      dx = 24, // nodeWidth
      py = 8, // nodePadding
      id = defaultId,
      align = justify,
      nodes = defaultNodes,
      links = defaultLinks,
      iterations = 32,
      maxPaddedSpace = 2 / 3; // Defined as a fraction of the total available space

  function sankey() {
    var graph = {nodes: nodes.apply(null, arguments), links: links.apply(null, arguments)};
    computeNodeLinks(graph);
    computeNodeValues(graph);
    computeNodeDepths(graph);
    computeNodeBreadths(graph, iterations);
    computeLinkBreadths(graph);
    return graph;
  }

  sankey.update = function(graph) {
    computeLinkBreadths(graph);
    return graph;
  };

  sankey.nodeId = function(_) {
    return arguments.length ? (id = typeof _ === "function" ? _ : constant(_), sankey) : id;
  };

  sankey.nodeAlign = function(_) {
    return arguments.length ? (align = typeof _ === "function" ? _ : constant(_), sankey) : align;
  };

  sankey.nodeWidth = function(_) {
    return arguments.length ? (dx = +_, sankey) : dx;
  };

  sankey.nodePadding = function(_) {
    return arguments.length ? (py = +_, sankey) : py;
  };

  sankey.nodes = function(_) {
    return arguments.length ? (nodes = typeof _ === "function" ? _ : constant(_), sankey) : nodes;
  };

  sankey.links = function(_) {
    return arguments.length ? (links = typeof _ === "function" ? _ : constant(_), sankey) : links;
  };

  sankey.size = function(_) {
    return arguments.length ? (x0 = y0 = 0, x1 = +_[0], y1 = +_[1], sankey) : [x1 - x0, y1 - y0];
  };

  sankey.extent = function(_) {
    return arguments.length ? (x0 = +_[0][0], x1 = +_[1][0], y0 = +_[0][1], y1 = +_[1][1], sankey) : [[x0, y0], [x1, y1]];
  };

  sankey.iterations = function(_) {
    return arguments.length ? (iterations = +_, sankey) : iterations;
  };

  // Populate the sourceLinks and targetLinks for each node.
  // Also, if the source and target are not objects, assume they are indices.
  function computeNodeLinks(graph) {
    graph.nodes.forEach(function(node, i) {
      node.index = i;
      node.sourceLinks = [];
      node.targetLinks = [];
    });

    var nodeById = map(graph.nodes, id);
    graph.links.forEach(function(link, i) {
      link.index = i;
      var source = link.source, target = link.target;
      if (typeof source !== "object") source = link.source = find(nodeById, source);
      if (typeof target !== "object") target = link.target = find(nodeById, target);
      source.sourceLinks.push(link);
      target.targetLinks.push(link);
    });
  }

  // Compute the value (size) of each node by summing the associated links.
  function computeNodeValues(graph) {
    graph.nodes.forEach(function(node) {
      node.value = Math.max(
        sum(node.sourceLinks, value),
        sum(node.targetLinks, value)
      );
    });
  }

  // Iteratively assign the depth (x-position) for each node.
  // Nodes are assigned the maximum depth of incoming neighbors plus one;
  // nodes with no incoming links are assigned depth zero, while
  // nodes with no outgoing links are assigned the maximum depth.
  function computeNodeDepths(graph) {
    var nodes, next, x;

    for (nodes = graph.nodes, next = [], x = 0; nodes.length; ++x, nodes = next, next = []) {
      nodes.forEach(function(node) {
        node.depth = x;
        node.sourceLinks.forEach(function(link) {
          if (next.indexOf(link.target) < 0) {
            next.push(link.target);
          }
        });
      });
    }

    for (nodes = graph.nodes, next = [], x = 0; nodes.length; ++x, nodes = next, next = []) {
      nodes.forEach(function(node) {
        node.height = x;
        node.targetLinks.forEach(function(link) {
          if (next.indexOf(link.source) < 0) {
            next.push(link.source);
          }
        });
      });
    }

    var kx = (x1 - x0 - dx) / (x - 1);
    graph.nodes.forEach(function(node) {
      node.x1 = (node.x0 = x0 + Math.max(0, Math.min(x - 1, Math.floor(align.call(null, node, x)))) * kx) + dx;
    });
  }

  function computeNodeBreadths(graph) {
    var columns = nest()
        .key(function(d) { return d.x0; })
        .sortKeys(ascending)
        .entries(graph.nodes)
        .map(function(d) { return d.values; });

    //
    initializeNodeBreadth();
    resolveCollisions();
    for (var alpha = 1, n = iterations; n > 0; --n) {
      relaxRightToLeft(alpha *= 0.99);
      resolveCollisions();
      relaxLeftToRight(alpha);
      resolveCollisions();
    }

    function initializeNodeBreadth() {
      var L = max(columns, function(nodes) {
        return nodes.length;
      });
      var maxNodePadding = maxPaddedSpace * (y1 - y0) / (L - 1);
      if(py > maxNodePadding) py = maxNodePadding;
      var ky = min(columns, function(nodes) {
        return (y1 - y0 - (nodes.length - 1) * py) / sum(nodes, value);
      });

      columns.forEach(function(nodes) {
        nodes.forEach(function(node, i) {
          node.y1 = (node.y0 = i) + node.value * ky;
        });
      });

      graph.links.forEach(function(link) {
        link.width = link.value * ky;
      });
    }

    function relaxLeftToRight(alpha) {
      columns.forEach(function(nodes) {
        nodes.forEach(function(node) {
          if (node.targetLinks.length) {
            var dy = (sum(node.targetLinks, weightedSource) / sum(node.targetLinks, value) - nodeCenter(node)) * alpha;
            node.y0 += dy, node.y1 += dy;
          }
        });
      });
    }

    function relaxRightToLeft(alpha) {
      columns.slice().reverse().forEach(function(nodes) {
        nodes.forEach(function(node) {
          if (node.sourceLinks.length) {
            var dy = (sum(node.sourceLinks, weightedTarget) / sum(node.sourceLinks, value) - nodeCenter(node)) * alpha;
            node.y0 += dy, node.y1 += dy;
          }
        });
      });
    }

    function resolveCollisions() {
      columns.forEach(function(nodes) {
        var node,
            dy,
            y = y0,
            n = nodes.length,
            i;

        // Push any overlapping nodes down.
        nodes.sort(ascendingBreadth);
        for (i = 0; i < n; ++i) {
          node = nodes[i];
          dy = y - node.y0;
          if (dy > 0) node.y0 += dy, node.y1 += dy;
          y = node.y1 + py;
        }

        // If the bottommost node goes outside the bounds, push it back up.
        dy = y - py - y1;
        if (dy > 0) {
          y = (node.y0 -= dy), node.y1 -= dy;

          // Push any overlapping nodes back up.
          for (i = n - 2; i >= 0; --i) {
            node = nodes[i];
            dy = node.y1 + py - y;
            if (dy > 0) node.y0 -= dy, node.y1 -= dy;
            y = node.y0;
          }
        }
      });
    }
  }

  function computeLinkBreadths(graph) {
    graph.nodes.forEach(function(node) {
      node.sourceLinks.sort(ascendingTargetBreadth);
      node.targetLinks.sort(ascendingSourceBreadth);
    });
    graph.nodes.forEach(function(node) {
      var y0 = node.y0, y1 = y0;
      node.sourceLinks.forEach(function(link) {
        link.y0 = y0 + link.width / 2, y0 += link.width;
      });
      node.targetLinks.forEach(function(link) {
        link.y1 = y1 + link.width / 2, y1 += link.width;
      });
    });
  }

  return sankey;
}