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Sankey with circular links and self-linking nodes
license: mit

Update to d3-sankey-circular to allow self-linking nodes, as well as fixes to how nodes are compared to determine if they are horizontally aligned.

Also, includes minor tweaks to the layout functions to accommodate self linking links, and circular links that travel below the chart.

// https://github.com/tomshanley/d3-sankey-circular
// fork of https://github.com/d3/d3-sankey copyright Mike Bostock
;(function (global, factory) {
typeof exports === 'object' && typeof module !== 'undefined'
? factory(
exports,
require('d3-array'),
require('d3-collection'),
require('d3-shape')
)
: typeof define === 'function' && define.amd
? define(['exports', 'd3-array', 'd3-collection', 'd3-shape'], factory)
: factory(
(global.d3 = global.d3 || {}),
global.d3,
global.d3,
global.d3
)
})(this, function (exports, d3Array, d3Collection, d3Shape) {
'use strict'
function targetDepth (d) {
return d.target.depth
}
function left (node) {
return node.depth
}
function right (node, n) {
return n - 1 - node.height
}
function justify (node, n) {
return node.sourceLinks.length ? node.depth : n - 1
}
function center (node) {
return node.targetLinks.length
? node.depth
: node.sourceLinks.length
? d3Array.min(node.sourceLinks, targetDepth) - 1
: 0
}
function constant (x) {
return function () {
return x
}
}
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) {
if (a.partOfCycle === b.partOfCycle) {
return a.y0 - b.y0
} else {
if (a.circularLinkType === 'top' || b.circularLinkType === 'bottom') {
return -1
} else {
return 1
}
}
}
function value (d) {
return d.value
}
function nodeCenter (node) {
return (node.y0 + node.y1) / 2
}
function linkSourceCenter (link) {
return nodeCenter(link.source)
}
function linkTargetCenter (link) {
return nodeCenter(link.target)
}
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
}
var sankey = function () {
var x0 = 0,
y0 = 0,
x1 = 1,
y1 = 1, // extent
dx = 24, // nodeWidth
py, // nodePadding
scale = 1,
id = defaultId,
align = justify,
nodes = defaultNodes,
links = defaultLinks,
iterations = 32
var padding = Infinity
var paddingRatio = 0.1
function sankey () {
var graph = {
nodes: nodes.apply(null, arguments),
links: links.apply(null, arguments)
}
computeNodeLinks(graph)
identifyCircles(graph)
selectCircularLinkTypes(graph)
computeNodeValues(graph)
computeNodeDepths(graph)
computeNodeBreadths(graph, iterations)
computeLinkBreadths(graph)
// sort links per node, based on the links' source/target positions
sortSourceLinks(graph)
sortTargetLinks(graph)
// adjust nodes that overlap links that span 2+ columns
resolveNodeLinkOverlaps(graph, y1)
// sort links per node, based on the links' source/target positions
sortSourceLinks(graph)
sortTargetLinks(graph)
// add d string for circular paths
addCircularPathData(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.scale = function (_) {
return arguments.length ? ((scale = +_), sankey) : scale
}
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
}
sankey.nodePaddingRatio = function (_) {
return arguments.length ? ((paddingRatio = +_), sankey) : paddingRatio
}
// 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 = d3Collection.map(graph.nodes, id)
graph.links.forEach(function (link, i) {
link.index = i
var source = link.source
var 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) and cycleness of each node by summing the associated links.
function computeNodeValues (graph) {
graph.nodes.forEach(function (node) {
node.partOfCycle = false
node.value = Math.max(
d3Array.sum(node.sourceLinks, value),
d3Array.sum(node.targetLinks, value)
)
node.sourceLinks.forEach(function (link) {
if (link.circular) {
node.partOfCycle = true
node.circularLinkType = link.circularLinkType
}
})
node.targetLinks.forEach(function (link) {
if (link.circular) {
node.partOfCycle = true
node.circularLinkType = link.circularLinkType
}
})
})
}
// 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 && !link.circular) {
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 && !link.circular) {
next.push(link.source)
}
})
})
}
var kx = (x1 - x0 - dx) / (x - 1);
graph.nodes.forEach(function (node) {
node.column = Math.floor(align.call(null, node, x));
node.x0 = x0 + Math.max(0, Math.min(x - 1, Math.floor(align.call(null, node, x)))) * kx;
node.x1 = node.x0 + dx;
})
}
function computeNodeBreadths (graph) {
var columns = d3Collection
.nest()
.key(function (d) {
return d.x0
})
.sortKeys(d3Array.ascending)
.entries(graph.nodes)
.map(function (d) {
return d.values
})
initializeNodeBreadth()
resolveCollisions()
for (var alpha = 1, n = iterations; n > 0; --n) {
relaxLeftAndRight((alpha *= 0.99))
resolveCollisions()
}
function initializeNodeBreadth () {
columns.forEach(function (nodes) {
let thisPadding = y1 * paddingRatio / (nodes.length + 1)
padding = thisPadding < padding ? thisPadding : padding
})
py = padding
var ky = d3Array.min(columns, function (nodes) {
return (y1 - y0 - (nodes.length - 1) * py) / d3Array.sum(nodes, value)
})
ky = ky * scale
columns.forEach(function (nodes) {
var nodesLength = nodes.length
nodes.forEach(function (node, i) {
if (node.partOfCycle) {
if (numberOfNonSelfLinkingCycles(node) == 0) {
node.y0 = y1/2 + i
node.y1 = node.y0 + node.value * ky
}
else if (node.circularLinkType == 'top') {
node.y0 = y0 + i
node.y1 = node.y0 + node.value * ky
} else {
node.y0 = y1 - node.value * ky - i
node.y1 = node.y0 + node.value * ky
}
} else {
node.y0 = (y1 - y0) / 2 - nodesLength / 2 + i
node.y1 = node.y0 + node.value * ky
}
})
})
graph.links.forEach(function (link) {
link.width = link.value * ky
})
}
function relaxLeftAndRight (alpha) {
let columnsLength = columns.length
columns.forEach(function (nodes, i) {
let n = nodes.length
let depth = nodes[0].depth
nodes.forEach(function (node) {
// check the node is not an orphan
if (node.sourceLinks.length || node.targetLinks.length) {
if (node.partOfCycle && numberOfNonSelfLinkingCycles(node) > 0) {
//console.log(node.name + " " + node.y0)
} else if (depth == 0 && n == 1) {
let nodeHeight = node.y1 - node.y0
node.y0 = y1 / 2 - nodeHeight / 2
node.y1 = y1 / 2 + nodeHeight / 2
} else if (depth == columnsLength - 1 && n == 1) {
let nodeHeight = node.y1 - node.y0
node.y0 = y1 / 2 - nodeHeight / 2
node.y1 = y1 / 2 + nodeHeight / 2
} else {
let avg = 0
let avgTargetY = d3Array.mean(
node.sourceLinks,
linkTargetCenter
)
let avgSourceY = d3Array.mean(
node.targetLinks,
linkSourceCenter
)
if (avgTargetY && avgSourceY) {
avg = (avgTargetY + avgSourceY) / 2
} else {
avg = avgTargetY || avgSourceY
}
let dy = (avg - nodeCenter(node)) * alpha
// positive if it node needs to move down
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
var y1 = y0
// start from the bottom of the node for cycle links
var y0cycle = node.y1
var y1cycle = y0cycle
node.sourceLinks.forEach(function (link) {
if (link.circular) {
link.y0 = y0cycle - link.width / 2
y0cycle = y0cycle - link.width
} else {
link.y0 = y0 + link.width / 2
y0 += link.width
}
})
node.targetLinks.forEach(function (link) {
if (link.circular) {
link.y1 = y1cycle - link.width / 2
y1cycle = y1cycle - link.width
} else {
link.y1 = y1 + link.width / 2
y1 += link.width
}
})
})
}
return sankey
}
/// /////////////////////////////////////////////////////////////////////////////////
// Cycle functions
// portion of code to detect circular links based on Colin Fergus' bl.ock https://gist.github.com/cfergus/3956043
// Identify circles in the link objects
function identifyCircles (graph) {
var addedLinks = []
var circularLinkID = 0
graph.links.forEach(function (link) {
if (createsCycle(link.source, link.target, addedLinks)) {
link.circular = true
link.circularLinkID = circularLinkID
circularLinkID = circularLinkID + 1
} else {
link.circular = false
addedLinks.push(link)
}
})
}
function selectCircularLinkTypes (graph) {
let numberOfTops = 0
let numberOfBottoms = 0
graph.links.forEach(function (link) {
if (link.circular) {
// if either souce or target has type already use that
if (link.source.circularLinkType || link.target.circularLinkType) {
// default to source type if available
link.circularLinkType = link.source.circularLinkType
? link.source.circularLinkType
: link.target.circularLinkType
} else {
link.circularLinkType = numberOfTops < numberOfBottoms
? 'top'
: 'bottom'
}
if (link.circularLinkType == 'top') {
numberOfTops = numberOfTops + 1
} else {
numberOfBottoms = numberOfBottoms + 1
}
graph.nodes.forEach(function (node) {
if (node.name == link.source.name || node.name == link.target.name) {
node.circularLinkType = link.circularLinkType
}
})
}
})
}
// Checks if link creates a cycle
function createsCycle (originalSource, nodeToCheck, graph) {
if (graph.length == 0) {
return false
}
// Check for self linking nodes
if (originalSource.name == nodeToCheck.name) {
return true
}
var nextLinks = findLinksOutward(nodeToCheck, graph)
// leaf node check
if (nextLinks.length == 0) {
return false
}
// cycle check
for (var i = 0; i < nextLinks.length; i++) {
var nextLink = nextLinks[i]
if (nextLink.target === originalSource) {
return true
}
// Recurse
if (createsCycle(originalSource, nextLink.target, graph)) {
return true
}
}
// Exhausted all links
return false
}
// Given a node, find all links for which this is a source in the current 'known' graph
function findLinksOutward (node, graph) {
var children = []
for (var i = 0; i < graph.length; i++) {
if (node == graph[i].source) {
children.push(graph[i])
}
}
return children
}
// Return the angle between a straight line between the source and target of the link, and the vertical plane of the node
function linkAngle (link) {
let adjacent = Math.abs(link.y1 - link.y0)
let opposite = Math.abs(link.target.x0 - link.source.x1)
return Math.atan(opposite / adjacent)
}
function circularLinksCross (link1, link2) {
if (link1.source.column < link2.target.column) {
return false
} else if (link1.target.column > link2.source.column) {
return false
} else {
return true
}
}
function numberOfNonSelfLinkingCycles(node) {
let sourceCount = 0
node.sourceLinks.forEach(function (l) {
sourceCount = l.circular && !selfLinking(l) ? sourceCount + 1 : sourceCount
})
let targetCount = 0
node.targetLinks.forEach(function (l) {
targetCount = l.circular && !selfLinking(l) ? targetCount + 1 : targetCount
})
return sourceCount + targetCount;
}
function onlyCircularLink (link) {
let nodeSourceLinks = link.source.sourceLinks
let sourceCount = 0
nodeSourceLinks.forEach(function (l) {
sourceCount = l.circular ? sourceCount + 1 : sourceCount
})
let nodeTargetLinks = link.target.targetLinks
let targetCount = 0
nodeTargetLinks.forEach(function (l) {
targetCount = l.circular ? targetCount + 1 : targetCount
})
if (sourceCount > 1 || targetCount > 1) {
return false
} else {
return true
}
}
// creates vertical buffer valeus per set of top/bottom links
function calcVerticalBuffer (links) {
links.sort(sortLinkColumnAscending)
links.forEach(function (link, i) {
let buffer = 0
if (selfLinking(link) && onlyCircularLink(link)) {
link.circularPathData.verticalBuffer = buffer + link.width / 2
} else {
let j = 0
for (j; j < i; j++) {
if (circularLinksCross(links[i], links[j])) {
let bufferOverThisLink =
links[j].circularPathData.verticalBuffer +
links[j].width / 2 +
circularLinkGap
buffer = bufferOverThisLink > buffer ? bufferOverThisLink : buffer
}
}
link.circularPathData.verticalBuffer = buffer + link.width / 2
}
})
return links
}
// calculate the optimum path for a link to reduce overlaps
function addCircularPathData (graph) {
let baseRadius = 10
let buffer = 10
let verticalMargin = 25
let minY = d3.min(graph.links, function (link) {
return link.source.y0
})
// create object for circular Path Data
graph.links.forEach(function (link) {
if (link.circular) {
link.circularPathData = {}
}
})
// calc vertical offsets per top/bottom links
let topLinks = graph.links.filter(function (l) {
return l.circularLinkType == 'top'
})
topLinks = calcVerticalBuffer(topLinks)
let bottomLinks = graph.links.filter(function (l) {
return l.circularLinkType == 'bottom'
})
bottomLinks = calcVerticalBuffer(bottomLinks)
// add the base data for each link
graph.links.forEach(function (link) {
if (link.circular) {
link.circularPathData.arcRadius = link.width + baseRadius
link.circularPathData.leftNodeBuffer = buffer
link.circularPathData.rightNodeBuffer = buffer
link.circularPathData.sourceWidth = link.source.x1 - link.source.x0
link.circularPathData.sourceX = link.source.x0 + link.circularPathData.sourceWidth
link.circularPathData.targetX = link.target.x0
link.circularPathData.sourceY = link.y0
link.circularPathData.targetY = link.y1
// for self linking paths, and that the only circular link in/out of that node
if (selfLinking(link) && onlyCircularLink(link)) {
link.circularPathData.leftSmallArcRadius = baseRadius + link.width / 2
link.circularPathData.leftLargeArcRadius = baseRadius + link.width / 2
link.circularPathData.rightSmallArcRadius = baseRadius + link.width / 2
link.circularPathData.rightLargeArcRadius = baseRadius + link.width / 2
if (link.circularLinkType == 'bottom') {
link.circularPathData.verticalFullExtent = link.source.y1 + verticalMargin + link.circularPathData.verticalBuffer
link.circularPathData.verticalLeftInnerExtent = link.circularPathData.verticalFullExtent - link.circularPathData.leftLargeArcRadius
link.circularPathData.verticalRightInnerExtent = link.circularPathData.verticalFullExtent - link.circularPathData.rightLargeArcRadius
} else {
// top links
link.circularPathData.verticalFullExtent = link.source.y0 - verticalMargin - link.circularPathData.verticalBuffer
link.circularPathData.verticalLeftInnerExtent = link.circularPathData.verticalFullExtent + link.circularPathData.leftLargeArcRadius
link.circularPathData.verticalRightInnerExtent = link.circularPathData.verticalFullExtent + link.circularPathData.rightLargeArcRadius
}
}
// else calculate normally
else {
// add left extent coordinates, based on links with same source column and circularLink type
let thisColumn = link.source.column
let thisCircularLinkType = link.circularLinkType
let sameColumnLinks = graph.links.filter(function (l) {
return (
l.source.column == thisColumn &&
l.circularLinkType == thisCircularLinkType
)
})
if (link.circularLinkType == 'bottom') {
sameColumnLinks.sort(sortLinkSourceYDescending)
} else {
sameColumnLinks.sort(sortLinkSourceYAscending)
}
let radiusOffset = 0
sameColumnLinks.forEach(function (l, i) {
if (l.circularLinkID == link.circularLinkID) {
link.circularPathData.leftSmallArcRadius = baseRadius + link.width / 2 + radiusOffset
link.circularPathData.leftLargeArcRadius = baseRadius + link.width / 2 + i * circularLinkGap + radiusOffset
}
radiusOffset = radiusOffset + l.width
})
// add right extent coordinates, based on links with same target column and circularLink type
thisColumn = link.target.column
sameColumnLinks = graph.links.filter(function (l) {
return (
l.target.column == thisColumn &&
l.circularLinkType == thisCircularLinkType
)
})
if (link.circularLinkType == 'bottom') {
sameColumnLinks.sort(sortLinkTargetYDescending)
} else {
sameColumnLinks.sort(sortLinkTargetYAscending)
}
radiusOffset = 0
sameColumnLinks.forEach(function (l, i) {
if (l.circularLinkID == link.circularLinkID) {
link.circularPathData.rightSmallArcRadius = baseRadius + link.width / 2 + radiusOffset
link.circularPathData.rightLargeArcRadius = baseRadius + link.width / 2 + i * circularLinkGap + radiusOffset
}
radiusOffset = radiusOffset + l.width
})
// bottom links
if (link.circularLinkType == 'bottom') {
link.circularPathData.verticalFullExtent = height + verticalMargin + link.circularPathData.verticalBuffer
link.circularPathData.verticalLeftInnerExtent = link.circularPathData.verticalFullExtent - link.circularPathData.leftLargeArcRadius
link.circularPathData.verticalRightInnerExtent = link.circularPathData.verticalFullExtent - link.circularPathData.rightLargeArcRadius
} else {
// top links
link.circularPathData.verticalFullExtent = minY - verticalMargin - link.circularPathData.verticalBuffer
link.circularPathData.verticalLeftInnerExtent = link.circularPathData.verticalFullExtent + link.circularPathData.leftLargeArcRadius
link.circularPathData.verticalRightInnerExtent = link.circularPathData.verticalFullExtent + link.circularPathData.rightLargeArcRadius
}
}
// all links
link.circularPathData.leftInnerExtent = link.circularPathData.sourceX + link.circularPathData.leftNodeBuffer
link.circularPathData.rightInnerExtent = link.circularPathData.targetX - link.circularPathData.rightNodeBuffer
link.circularPathData.leftFullExtent = link.circularPathData.sourceX + link.circularPathData.leftLargeArcRadius + link.circularPathData.leftNodeBuffer
link.circularPathData.rightFullExtent = link.circularPathData.targetX - link.circularPathData.rightLargeArcRadius -link.circularPathData.rightNodeBuffer
link.circularPathData.path = createCircularPathString(link)
}
})
}
// create a d path using the addCircularPathData
function createCircularPathString (link) {
let pathString = ''
let pathData = {}
if (link.circularLinkType == 'top') {
pathString =
// start at the right of the source node
'M' +
link.circularPathData.sourceX +
' ' +
link.circularPathData.sourceY +
' ' +
// line right to buffer point
'L' +
link.circularPathData.leftInnerExtent +
' ' +
link.circularPathData.sourceY +
' ' +
// Arc around: Centre of arc X and //Centre of arc Y
'A' +
link.circularPathData.leftLargeArcRadius +
' ' +
link.circularPathData.leftSmallArcRadius +
' 0 0 0 ' +
// End of arc X //End of arc Y
link.circularPathData.leftFullExtent +
' ' +
(link.circularPathData.sourceY -
link.circularPathData.leftSmallArcRadius) +
' ' + // End of arc X
// line up to buffer point
'L' +
link.circularPathData.leftFullExtent +
' ' +
link.circularPathData.verticalLeftInnerExtent +
' ' +
// Arc around: Centre of arc X and //Centre of arc Y
'A' +
link.circularPathData.leftLargeArcRadius +
' ' +
link.circularPathData.leftLargeArcRadius +
' 0 0 0 ' +
// End of arc X //End of arc Y
link.circularPathData.leftInnerExtent +
' ' +
link.circularPathData.verticalFullExtent +
' ' + // End of arc X
// line left to buffer point
'L' +
link.circularPathData.rightInnerExtent +
' ' +
link.circularPathData.verticalFullExtent +
' ' +
// Arc around: Centre of arc X and //Centre of arc Y
'A' +
link.circularPathData.rightLargeArcRadius +
' ' +
link.circularPathData.rightLargeArcRadius +
' 0 0 0 ' +
// End of arc X //End of arc Y
link.circularPathData.rightFullExtent +
' ' +
link.circularPathData.verticalRightInnerExtent +
' ' + // End of arc X
// line down
'L' +
link.circularPathData.rightFullExtent +
' ' +
(link.circularPathData.targetY -
link.circularPathData.rightSmallArcRadius) +
' ' +
// Arc around: Centre of arc X and //Centre of arc Y
'A' +
link.circularPathData.rightLargeArcRadius +
' ' +
link.circularPathData.rightSmallArcRadius +
' 0 0 0 ' +
// End of arc X //End of arc Y
link.circularPathData.rightInnerExtent +
' ' +
link.circularPathData.targetY +
' ' + // End of arc X
// line to end
'L' +
link.circularPathData.targetX +
' ' +
link.circularPathData.targetY
} else {
// bottom path
pathString =
// start at the right of the source node
'M' +
link.circularPathData.sourceX +
' ' +
link.circularPathData.sourceY +
' ' +
// line right to buffer point
'L' +
link.circularPathData.leftInnerExtent +
' ' +
link.circularPathData.sourceY +
' ' +
// Arc around: Centre of arc X and //Centre of arc Y
'A' +
link.circularPathData.leftLargeArcRadius +
' ' +
link.circularPathData.leftSmallArcRadius +
' 0 0 1 ' +
// End of arc X //End of arc Y
link.circularPathData.leftFullExtent +
' ' +
(link.circularPathData.sourceY +
link.circularPathData.leftSmallArcRadius) +
' ' + // End of arc X
// line down to buffer point
'L' +
link.circularPathData.leftFullExtent +
' ' +
link.circularPathData.verticalLeftInnerExtent +
' ' +
// Arc around: Centre of arc X and //Centre of arc Y
'A' +
link.circularPathData.leftLargeArcRadius +
' ' +
link.circularPathData.leftLargeArcRadius +
' 0 0 1 ' +
// End of arc X //End of arc Y
link.circularPathData.leftInnerExtent +
' ' +
link.circularPathData.verticalFullExtent +
' ' + // End of arc X
// line left to buffer point
'L' +
link.circularPathData.rightInnerExtent +
' ' +
link.circularPathData.verticalFullExtent +
' ' +
// Arc around: Centre of arc X and //Centre of arc Y
'A' +
link.circularPathData.rightLargeArcRadius +
' ' +
link.circularPathData.rightLargeArcRadius +
' 0 0 1 ' +
// End of arc X //End of arc Y
link.circularPathData.rightFullExtent +
' ' +
link.circularPathData.verticalRightInnerExtent +
' ' + // End of arc X
// line up
'L' +
link.circularPathData.rightFullExtent +
' ' +
(link.circularPathData.targetY +
link.circularPathData.rightSmallArcRadius) +
' ' +
// Arc around: Centre of arc X and //Centre of arc Y
'A' +
link.circularPathData.rightLargeArcRadius +
' ' +
link.circularPathData.rightSmallArcRadius +
' 0 0 1 ' +
// End of arc X //End of arc Y
link.circularPathData.rightInnerExtent +
' ' +
link.circularPathData.targetY +
' ' + // End of arc X
// line to end
'L' +
link.circularPathData.targetX +
' ' +
link.circularPathData.targetY
}
return pathString
}
// sort links based on the distance between the source and tartget node columns
// if the same, then use Y position of the source node
function sortLinkColumnAscending (link1, link2) {
if (linkColumnDistance(link1) == linkColumnDistance(link2)) {
return link1.circularLinkType == 'bottom'
? sortLinkSourceYDescending(link1, link2)
: sortLinkSourceYAscending(link1, link2)
} else {
return linkColumnDistance(link2) - linkColumnDistance(link1)
}
}
function sortLinkSourceYAscending (link1, link2) {
return link1.y0 - link2.y0
}
function sortLinkSourceYDescending (link1, link2) {
return link2.y0 - link1.y0
}
function sortLinkTargetYAscending (link1, link2) {
return link1.y1 - link2.y1
}
function sortLinkTargetYDescending (link1, link2) {
return link2.y1 - link1.y1
}
// return the distance between the link's target and source node, in terms of the nodes' column
function linkColumnDistance (link) {
return link.target.column - link.source.column
}
// return the distance between the link's target and source node, in terms of the nodes' X coordinate
function linkXLength (link) {
return link.target.x0 - link.source.x1
}
function linkPerpendicularYToLinkSource (longerLink, shorterLink) {
// Return the Y coordinate on the longerLink path * which is perpendicular shorterLink's source.
// * approx, based on a straight line from target to source, when in fact the path is a bezier
// get the angle for the longer link
let angle = linkAngle(longerLink)
// get the adjacent length to the other link's x position
let heightFromY1ToPependicular = linkXLength(shorterLink) / Math.tan(angle)
// add or subtract from longer link1's original y1, depending on the slope
let yPerpendicular = incline(longerLink) == 'up'
? longerLink.y1 + heightFromY1ToPependicular
: longerLink.y1 - heightFromY1ToPependicular
return yPerpendicular
}
function linkPerpendicularYToLinkTarget (longerLink, shorterLink) {
// Return the Y coordinate on the longerLink path * which is perpendicular shorterLink's source.
// * approx, based on a straight line from target to source, when in fact the path is a bezier
// get the angle for the longer link
let angle = linkAngle(longerLink)
// get the adjacent length to the other link's x position
let heightFromY1ToPependicular = linkXLength(shorterLink) / Math.tan(angle)
// add or subtract from longer link's original y1, depending on the slope
let yPerpendicular = incline(longerLink) == 'up'
? longerLink.y1 - heightFromY1ToPependicular
: longerLink.y1 + heightFromY1ToPependicular
return yPerpendicular
}
function resolveNodeLinkOverlaps (graph, y1) {
graph.links.forEach(function (link) {
if (link.circular) {
return
}
if (link.target.column - link.source.column > 1) {
let columnToTest = link.source.column + 1
let maxColumnToTest = link.target.column - 1
let i = 1
let numberOfColumnsToTest = maxColumnToTest - columnToTest + 1
for (
columnToTest, (i = 1);
columnToTest <= maxColumnToTest;
columnToTest++, i++
) {
graph.nodes.forEach(function (node) {
if (node.column == columnToTest) {
let t = i / (numberOfColumnsToTest + 1)
// Find all the points of a cubic bezier curve in javascript
// https://stackoverflow.com/questions/15397596/find-all-the-points-of-a-cubic-bezier-curve-in-javascript
let B0_t = Math.pow(1 - t, 3)
let B1_t = 3 * t * Math.pow(1 - t, 2)
let B2_t = 3 * Math.pow(t, 2) * (1 - t)
let B3_t = Math.pow(t, 3)
let py_t =
B0_t * link.y0 +
B1_t * link.y0 +
B2_t * link.y1 +
B3_t * link.y1
let linkY0AtColumn = py_t - link.width / 2
let linkY1AtColumn = py_t + link.width / 2
// If top of link overlaps node, push node up
if (linkY0AtColumn > node.y0 && linkY0AtColumn < node.y1) {
let dy = node.y1 - linkY0AtColumn + 10
dy = node.circularLinkType == "bottom" ? dy : -dy;
node = adjustNodeHeight(node, dy, y1)
// check if other nodes need to move up too
graph.nodes.forEach(function (otherNode) {
// don't need to check itself or nodes at different columns
if (
otherNode.name == node.name ||
otherNode.column != node.column
) {
return
}
if (nodesOverlap(node, otherNode)) {
adjustNodeHeight(otherNode, dy, y1)
}
})
} else if (linkY1AtColumn > node.y0 && linkY1AtColumn < node.y1) {
// If bottom of link overlaps node, push node down
let dy = linkY1AtColumn - node.y0 + 10
node = adjustNodeHeight(node, dy, y1)
// check if other nodes need to move down too
graph.nodes.forEach(function (otherNode) {
// don't need to check itself or nodes at different columns
if (
otherNode.name == node.name ||
otherNode.column != node.column
) {
return
}
if (otherNode.y0 < node.y1 && otherNode.y1 > node.y1) {
adjustNodeHeight(otherNode, dy, y1)
}
})
} else if (linkY0AtColumn < node.y0 && linkY1AtColumn > node.y1) {
// if link completely overlaps node
let dy = linkY1AtColumn - node.y0 + 10
node = adjustNodeHeight(node, dy, y1)
graph.nodes.forEach(function (otherNode) {
// don't need to check itself or nodes at different columns
if (
otherNode.name == node.name ||
otherNode.column != node.column
) {
return
}
if (otherNode.y0 < node.y1 && otherNode.y1 > node.y1) {
adjustNodeHeight(otherNode, dy, y1)
}
})
}
}
})
}
}
})
}
function nodesOverlap (nodeA, nodeB) {
// test if nodeA top partially overlaps nodeB
if (nodeA.y0 > nodeB.y0 && nodeA.y0 < nodeB.y1) {
return true
} else if (nodeA.y1 > nodeB.y0 && nodeA.y1 < nodeB.y1) {
// test if nodeA bottom partially overlaps nodeB
return true
} else if (nodeA.y0 < nodeB.y0 && nodeA.y1 > nodeB.y1) {
// test if nodeA covers nodeB
return true
} else {
return false
}
}
function adjustNodeHeight (node, dy, sankeyY1) {
if ((node.y1 + dy) <= sankeyY1) {
node.y0 = node.y0 + dy
node.y1 = node.y1 + dy
node.targetLinks.forEach(function (l) {
l.y1 = l.y1 + dy
})
node.sourceLinks.forEach(function (l) {
l.y0 = l.y0 + dy
})
}
return node
}
// sort and set the links' y0 for each node
function sortSourceLinks (graph) {
graph.nodes.forEach(function (node) {
// move any nodes up which are off the bottom
if (node.y + (node.y1 - node.y0) > height) {
node.y = node.y - (node.y + (node.y1 - node.y0) - height)
}
let nodesSourceLinks = graph.links.filter(function (l) {
return l.source.name == node.name
})
let nodeSourceLinksLength = nodesSourceLinks.length
// if more than 1 link then sort
if (nodeSourceLinksLength > 1) {
nodesSourceLinks.sort(function (link1, link2) {
// if both are not circular...
if (!link1.circular && !link2.circular) {
// if the target nodes are the same column, then sort by the link's target y
if (link1.target.column == link2.target.column) {
return link1.y1 - link2.y1
} else if (!sameInclines(link1, link2)) {
// if the links slope in different directions, then sort by the link's target y
return link1.y1 - link2.y1
// if the links slope in same directions, then sort by any overlap
} else {
if (link1.target.column > link2.target.column) {
let link2Adj = linkPerpendicularYToLinkTarget(link2, link1)
return link1.y1 - link2Adj
}
if (link2.target.column > link1.target.column) {
let link1Adj = linkPerpendicularYToLinkTarget(link1, link2)
return link1Adj - link2.y1
}
}
}
// if only one is circular, the move top links up, or bottom links down
if (link1.circular && !link2.circular) {
return link1.circularLinkType == 'top' ? -1 : 1
} else if (link2.circular && !link1.circular) {
return link2.circularLinkType == 'top' ? 1 : -1
}
// if both links are circular...
if (link1.circular && link2.circular) {
// ...and they both loop the same way (both top)
if (
link1.circularLinkType === link2.circularLinkType &&
link1.circularLinkType == 'top'
) {
// ...and they both connect to a target with same column, then sort by the target's y
if (link1.target.column === link2.target.column) {
return link1.target.y1 - link2.target.y1
} else {
// ...and they connect to different column targets, then sort by how far back they
return link2.target.column - link1.target.column
}
} else if (
link1.circularLinkType === link2.circularLinkType &&
link1.circularLinkType == 'bottom'
) {
// ...and they both loop the same way (both bottom)
// ...and they both connect to a target with same column, then sort by the target's y
if (link1.target.column === link2.target.column) {
return link2.target.y1 - link1.target.y1
} else {
// ...and they connect to different column targets, then sort by how far back they
return link1.target.column - link2.target.column
}
} else {
// ...and they loop around different ways, the move top up and bottom down
return link1.circularLinkType == 'top' ? -1 : 1
}
}
})
}
// update y0 for links
let ySourceOffset = node.y0
nodesSourceLinks.forEach(function (link) {
link.y0 = ySourceOffset + link.width / 2
ySourceOffset = ySourceOffset + link.width
})
// correct any circular bottom links so they are at the bottom of the node
nodesSourceLinks.forEach(function (link, i) {
if (link.circularLinkType == 'bottom') {
let j = i + 1
let offsetFromBottom = 0
// sum the widths of any links that are below this link
for (j; j < nodeSourceLinksLength; j++) {
offsetFromBottom = nodesSourceLinks[j].width
}
link.y0 = node.y1 - offsetFromBottom - link.width / 2
}
})
})
}
// sort and set the links' y1 for each node
function sortTargetLinks (graph) {
graph.nodes.forEach(function (node) {
let nodesTargetLinks = graph.links.filter(function (l) {
return l.target.name == node.name
})
let nodesTargetLinksLength = nodesTargetLinks.length
if (nodesTargetLinksLength > 1) {
nodesTargetLinks.sort(function (link1, link2) {
// if both are not circular, the base on the source y position
if (!link1.circular && !link2.circular) {
if (link1.source.column == link2.source.column) {
return link1.y0 - link2.y0
} else if (!sameInclines(link1, link2)) {
return link1.y0 - link2.y0
} else {
// get the angle of the link to the further source node (ie the smaller column)
if (link2.source.column < link1.source.column) {
let link2Adj = linkPerpendicularYToLinkSource(link2, link1)
return link1.y0 - link2Adj
}
if (link1.source.column < link2.source.column) {
let link1Adj = linkPerpendicularYToLinkSource(link1, link2)
return link1Adj - link2.y0
}
}
}
// if only one is circular, the move top links up, or bottom links down
if (link1.circular && !link2.circular) {
return link1.circularLinkType == 'top' ? -1 : 1
} else if (link2.circular && !link1.circular) {
return link2.circularLinkType == 'top' ? 1 : -1
}
// if both links are circular...
if (link1.circular && link2.circular) {
// ...and they both loop the same way (both top)
if (
link1.circularLinkType === link2.circularLinkType &&
link1.circularLinkType == 'top'
) {
// ...and they both connect to a target with same column, then sort by the target's y
if (link1.source.column === link2.source.column) {
return link1.source.y1 - link2.source.y1
} else {
// ...and they connect to different column targets, then sort by how far back they
return link1.source.column - link2.source.column
}
} else if (
link1.circularLinkType === link2.circularLinkType &&
link1.circularLinkType == 'bottom'
) {
// ...and they both loop the same way (both bottom)
// ...and they both connect to a target with same column, then sort by the target's y
if (link1.source.column === link2.source.column) {
return link1.source.y1 - link2.source.y1
} else {
// ...and they connect to different column targets, then sort by how far back they
return link2.source.column - link1.source.column
}
} else {
// ...and they loop around different ways, the move top up and bottom down
return link1.circularLinkType == 'top' ? -1 : 1
}
}
})
}
// update y1 for links
let yTargetOffset = node.y0
nodesTargetLinks.forEach(function (link) {
link.y1 = yTargetOffset + link.width / 2
yTargetOffset = yTargetOffset + link.width
})
// correct any circular bottom links so they are at the bottom of the node
nodesTargetLinks.forEach(function (link, i) {
if (link.circularLinkType == 'bottom') {
let j = i + 1
let offsetFromBottom = 0
// sum the widths of any links that are below this link
for (j; j < nodesTargetLinksLength; j++) {
offsetFromBottom = nodesTargetLinks[j].width
}
link.y1 = node.y1 - offsetFromBottom - link.width / 2
}
})
})
}
// test if links both slope up, or both slope down
function sameInclines (link1, link2) {
return incline(link1) == incline(link2)
}
// returns the slope of a link, from source to target
// up => slopes up from source to target
// down => slopes down from source to target
function incline (link) {
return link.y0 - link.y1 > 0 ? 'up' : 'down'
}
function selfLinking (link) {
return link.source.name == link.target.name
}
/// ////////////////////////////////////////////////////////////////////////////
exports.sankey = sankey
exports.sankeyCenter = center
exports.sankeyLeft = left
exports.sankeyRight = right
exports.sankeyJustify = justify
Object.defineProperty(exports, '__esModule', { value: true })
})
// function that determines whether draw path using d3.linkHorizontal() or the circularPathData.path string
var sankeyPath = function (link) {
let path = ''
if (link.circular) {
path = link.circularPathData.path
} else {
var normalPath = d3
.linkHorizontal()
.source(function (d) {
let x = d.source.x0 + (d.source.x1 - d.source.x0)
let y = d.y0
return [x, y]
})
.target(function (d) {
let x = d.target.x0
let y = d.y1
return [x, y]
})
path = normalPath(link)
}
return path
}
// Function that appends a path to selection that has sankey path data attached
// The path is formatted as dash array, and triangle paths to create arrows along the path
function appendArrows (selection, arrowLength, gapLength, arrowHeadSize) {
let totalDashArrayLength = arrowLength + gapLength
arrows = selection
.append('path')
.attr('d', sankeyPath)
.style('stroke-width', 1)
.style('stroke', 'black')
.style('stroke-dasharray', arrowLength + ',' + gapLength)
arrows.each(function (arrow) {
let thisPath = d3.select(this).node()
let parentG = d3.select(this.parentNode)
let pathLength = thisPath.getTotalLength()
let numberOfArrows = Math.ceil(pathLength / totalDashArrayLength)
// remove the last arrow head if it will overlap the target node
if (
(numberOfArrows - 1) * totalDashArrayLength +
(arrowLength + (arrowHeadSize + 1)) >
pathLength
) {
numberOfArrows = numberOfArrows - 1
}
let arrowHeadData = d3.range(numberOfArrows).map(function (d, i) {
let length = i * totalDashArrayLength + arrowLength
let point = thisPath.getPointAtLength(length)
let previousPoint = thisPath.getPointAtLength(length - 2)
let rotation = 0
if (point.y == previousPoint.y) {
rotation = point.x < previousPoint.x ? 180 : 0
} else if (point.x == previousPoint.x) {
rotation = point.y < previousPoint.y ? -90 : 90
} else {
let adj = Math.abs(point.x - previousPoint.x)
let opp = Math.abs(point.y - previousPoint.y)
let angle = Math.atan(opp / adj) * (180 / Math.PI)
if (point.x < previousPoint.x) {
angle = angle + (90 - angle) * 2
}
if (point.y < previousPoint.y) {
rotation = -angle
} else {
rotation = angle
}
}
return { x: point.x, y: point.y, rotation: rotation }
})
let arrowHeads = parentG
.selectAll('.arrow-heads')
.data(arrowHeadData)
.enter()
.append('path')
.attr('d', function (d) {
return (
'M' +
d.x +
',' +
(d.y - arrowHeadSize / 2) +
' ' +
'L' +
(d.x + arrowHeadSize) +
',' +
d.y +
' ' +
'L' +
d.x +
',' +
(d.y + arrowHeadSize / 2)
)
})
.attr('class', 'arrow-head')
.attr('transform', function (d) {
return 'rotate(' + d.rotation + ',' + d.x + ',' + d.y + ')'
})
.style('fill', 'black')
})
}
let data2 = {
"nodes": [
{ "name": "startA" },
{ "name": "startB" },
{ "name": "process1" },
{ "name": "process2" },
{ "name": "process3" },
{ "name": "process4" },
{ "name": "process5" },
{ "name": "process6" },
{ "name": "process7" },
{ "name": "process8" },
{ "name": "process9" },
{ "name": "process10" },
{ "name": "process11" },
{ "name": "process12" },
{ "name": "process13" },
{ "name": "process14" },
{ "name": "process15" },
{ "name": "process16" },
{ "name": "finishA" },
{ "name": "finishB" }
],
"links": [
{ "source": "startA", "target": "process8", "value": 20, "optimal": "yes" },
{ "source": "startA", "target": "process5", "value": 20, "optimal": "yes" },
{ "source": "startA", "target": "process6", "value": 20, "optimal": "yes" },
{ "source": "startB", "target": "process1", "value": 15, "optimal": "yes" },
{ "source": "startB", "target": "process5", "value": 15, "optimal": "yes" },
{ "source": "process1", "target": "process4", "value": 30, "optimal": "yes" },
{ "source": "process4", "target": "process1", "value": 10, "optimal": "yes" },
{ "source": "process2", "target": "process7", "value": 35, "optimal": "yes" },
{ "source": "process1", "target": "process3", "value": 20, "optimal": "yes" },
{ "source": "process5", "target": "process1", "value": 20, "optimal": "yes" },
{ "source": "process6", "target": "startA", "value": 5, "optimal": "yes" },
{ "source": "process4", "target": "process2", "value": 5, "optimal": "yes" },
{ "source": "process6", "target": "process8", "value": 15, "optimal": "yes" },
{ "source": "process4", "target": "startB", "value": 5, "optimal": "yes" },
{ "source": "process3", "target": "process2", "value": 15, "optimal": "yes" },
{ "source": "process3", "target": "startB", "value": 5, "optimal": "yes" },
{ "source": "process15", "target": "process13", "value": 10, "optimal": "yes" },
{ "source": "process13", "target": "process9", "value": 10, "optimal": "yes" },
{ "source": "process7", "target": "startB", "value": 20, "optimal": "yes" },
{ "source": "process8", "target": "process1", "value": 10, "optimal": "yes" },
{ "source": "process8", "target": "process16", "value": 10, "optimal": "yes" },
{ "source": "process16", "target": "process9", "value": 10, "optimal": "yes" },
{ "source": "process8", "target": "process11", "value": 25, "optimal": "yes" },
{ "source": "process11", "target": "process10", "value": 20, "optimal": "yes" },
{ "source": "process4", "target": "process12", "value": 10, "optimal": "yes" },
{ "source": "process12", "target": "process11", "value": 10, "optimal": "yes" },
{ "source": "process7", "target": "process15", "value": 15, "optimal": "yes" },
{ "source": "process15", "target": "process14", "value": 10, "optimal": "yes" },
{ "source": "process10", "target": "process13", "value": 10, "optimal": "yes" },
{ "source": "process10", "target": "process16", "value": 10, "optimal": "yes" },
{ "source": "process14", "target": "finishB", "value": 10, "optimal": "yes" },
{ "source": "process9", "target": "finishA", "value": 10, "optimal": "yes" },
{ "source": "process16", "target": "process8", "value": 10, "optimal": "yes" },
{ "source": "process9", "target": "finishB", "value": 10, "optimal": "yes" },
{ "source": "process15", "target": "finishB", "value": 10, "optimal": "yes" },
{ "source": "process15", "target": "finishA", "value": 10, "optimal": "yes" },
{ "source": "process11", "target": "process15", "value": 25, "optimal": "yes" }
]
};
var data1 = {
"nodes": [
{ "name": "start" },
{ "name": "process0-0" },
{ "name": "process0-1" },
{ "name": "process0-2" },
{ "name": "process0-3" },
{ "name": "process0-4" },
{ "name": "process0-5" },
{ "name": "process0-6" },
{ "name": "process0-7" },
{ "name": "process0-8" },
{ "name": "process0-9" },
{ "name": "process1-0" },
{ "name": "process1-1" },
{ "name": "process1-2" },
{ "name": "process1-3" },
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}
let data3 = {
"nodes": [
{ "name": "Oceans" },
{ "name": "Evaporation" },
{ "name": "Atmosphere" },
{ "name": "Condensation" },
{ "name": "Precipitation" },
{ "name": "Ice and snow" },
{ "name": "Infiltration" },
{ "name": "Seepage" },
{ "name": "Spring" },
{ "name": "Freshwater" },
// { "name": "Soil moisture" },
{ "name": "Plants and animals" },
{ "name": "Sublimation" },
{ "name": "Groundwater flow" },
{ "name": "Groundwater storage" },
{ "name": "Surface runoff" },
{ "name": "Plant uptake"},
{ "name": "Evapotranspiration"},
],
"links": [
{ "source": "Oceans", "target": "Evaporation", "value": 4 },
{ "source": "Evaporation", "target": "Condensation", "value": 4 },
{ "source": "Condensation", "target": "Atmosphere", "value": 4 },
{ "source": "Atmosphere", "target": "Precipitation", "value": 4 },
{ "source": "Precipitation", "target": "Ice and snow", "value": 4 },
{ "source": "Precipitation", "target": "Oceans", "value": 4 },
{ "source": "Precipitation", "target": "Surface runoff", "value": 4 },
{ "source": "Ice and snow", "target": "Infiltration", "value": 4 },
{ "source": "Ice and snow", "target": "Sublimation", "value": 4 },
{ "source": "Sublimation", "target": "Atmosphere", "value": 4 },
{ "source": "Infiltration", "target": "Groundwater flow", "value": 4 },
{ "source": "Infiltration", "target": "Groundwater storage", "value": 4 },
{ "source": "Groundwater storage", "target": "Oceans", "value": 4 },
{ "source": "Groundwater flow", "target": "Seepage", "value": 4 },
{ "source": "Groundwater flow", "target": "Spring", "value": 4 },
{ "source": "Groundwater flow", "target": "Plant uptake", "value": 4 },
{ "source": "Groundwater flow", "target": "Oceans", "value": 4 },
{ "source": "Groundwater flow", "target": "Freshwater", "value": 4 },
{ "source": "Seepage", "target": "Freshwater", "value": 4 },
{ "source": "Spring", "target": "Freshwater", "value": 4 },
{ "source": "Freshwater", "target": "Evaporation", "value": 4 },
{ "source": "Freshwater", "target": "Plants and animals", "value": 4 },
{ "source": "Freshwater", "target": "Seepage", "value": 4 },
{ "source": "Plant uptake", "target": "Plants and animals", "value": 4 },
{ "source": "Plants and animals", "target": "Freshwater", "value": 4 },
{ "source": "Surface runoff", "target": "Groundwater flow", "value": 4 },
{ "source": "Plants and animals", "target": "Evapotranspiration", "value": 4 },
{ "source": "Evapotranspiration", "target": "Atmosphere", "value": 4 },
{ "source": "Freshwater", "target": "Oceans", "value": 4 },
]
}
//https://www.ucl.ac.uk/bartlett/sustainable/news/2017/jun/global-paper-recycling-can-be-improved-according-new-research-ucl
let data4 = {
"nodes": [
{ "name": "Non-fibrous" },
{ "name": "Wood" },
{ "name": "Other fibres" },
{ "name": "Mechanical pulp" },
{ "name": "Chemical pulp" },
{ "name": "Recycled pulp" },
//{ "name": "Paper for recycling" },
{ "name": "Mill waste" },
{ "name": "Newsprint" },
{ "name": "Printing and writing" },
{ "name": "Sanitary and household" },
{ "name": "Packaging" },
{ "name": "Other" },
{ "name": "Use" },
{ "name": "To stock" },
{ "name": "Energy recovery municipal" },
{ "name": "Incineration municipal" },
{ "name": "Landfill" },
{ "name": "Non-energy recovery"},
{ "name": "Energy recovery on site"}
],
"links": [
{ "source": "Non-fibrous", "target": "Newsprint", "value": 4 },
{ "source": "Non-fibrous", "target": "Printing and writing", "value": 40 },
{ "source": "Non-fibrous", "target": "Packaging", "value": 20 },
{ "source": "Non-fibrous", "target": "Other", "value": 4 },
{ "source": "Non-fibrous", "target": "Recycled pulp", "value": 2 },
{ "source": "Wood", "target": "Mechanical pulp", "value": 35 },
{ "source": "Wood", "target": "Chemical pulp", "value": 279 },
{ "source": "Other fibres", "target": "Chemical pulp", "value": 4 },
{ "source": "Mechanical pulp", "target": "Newsprint", "value": 3 },
{ "source": "Mechanical pulp", "target": "Packaging", "value": 23 },
{ "source": "Mechanical pulp", "target": "Recycled pulp", "value": 2 },
{ "source": "Mechanical pulp", "target": "Mill waste", "value": 3 },
{ "source": "Chemical pulp", "target": "Printing and writing", "value": 50 },
{ "source": "Chemical pulp", "target": "Sanitary and household", "value": 20 },
{ "source": "Chemical pulp", "target": "Packaging", "value": 40 },
{ "source": "Chemical pulp", "target": "Other", "value": 9 },
{ "source": "Chemical pulp", "target": "Recycled pulp", "value": 3 },
{ "source": "Chemical pulp", "target": "Mill waste", "value": 162 },
{ "source": "Recycled pulp", "target": "Newsprint", "value": 25 },
{ "source": "Recycled pulp", "target": "Printing and writing", "value": 5 },
{ "source": "Recycled pulp", "target": "Sanitary and household", "value": 5 },
{ "source": "Recycled pulp", "target": "Packaging", "value": 100 },
{ "source": "Recycled pulp", "target": "Other", "value": 5 },
{ "source": "Recycled pulp", "target": "Mill waste", "value": 41 },
//{ "source": "Recycled pulp", "target": "Paper for recycling", "value": 3 },
{ "source": "Newsprint", "target": "Use", "value": 31 },
{ "source": "Printing and writing", "target": "Use", "value": 106 },
{ "source": "Sanitary and household", "target": "Use", "value": 30 },
{ "source": "Packaging", "target": "Use", "value": 214 },
{ "source": "Other", "target": "Use", "value": 18 },
{ "source": "Use", "target": "To stock", "value": 36 },
{ "source": "Use", "target": "Energy recovery municipal", "value": 20 },
{ "source": "Use", "target": "Incineration municipal", "value": 14 },
{ "source": "Use", "target": "Landfill", "value": 132 },
{ "source": "Use", "target": "Non-energy recovery", "value": 3 },
{ "source": "Use", "target": "Recycled pulp", "value": 194 },
{ "source": "Mill waste", "target": "Landfill", "value": 22 },
{ "source": "Mill waste", "target": "Non-energy recovery", "value": 26 },
{ "source": "Mill waste", "target": "Energy recovery on site", "value": 158 },
//{ "source": "Paper for recycling", "target": "Recycled pulp", "value": 215 },
]
}
//to test self-linking nodes
let data5 = {
"nodes": [
{ "name": "startA" },
{ "name": "startB" },
{ "name": "process1" },
{ "name": "process2" },
{ "name": "process3" },
{ "name": "process4" },
{ "name": "process5" },
{ "name": "process6" },
{ "name": "process7" },
{ "name": "process8" },
{ "name": "process9" },
{ "name": "process10" },
{ "name": "process11" },
{ "name": "process12" },
{ "name": "process13" },
{ "name": "process14" },
{ "name": "process15" },
{ "name": "process16" },
{ "name": "finishA" },
{ "name": "finishB" }
],
"links": [
{ "source": "startA", "target": "process8", "value": 20, "optimal": "yes" },
{ "source": "startA", "target": "process5", "value": 20, "optimal": "yes" },
{ "source": "startA", "target": "process6", "value": 20, "optimal": "yes" },
{ "source": "startB", "target": "process1", "value": 15, "optimal": "yes" },
{ "source": "startB", "target": "process5", "value": 15, "optimal": "yes" },
{ "source": "process1", "target": "process4", "value": 30, "optimal": "yes" },
{ "source": "process4", "target": "process1", "value": 10, "optimal": "yes" },
{ "source": "process2", "target": "process7", "value": 35, "optimal": "yes" },
{ "source": "process1", "target": "process3", "value": 20, "optimal": "yes" },
{ "source": "process5", "target": "process1", "value": 20, "optimal": "yes" },
{ "source": "process6", "target": "startA", "value": 5, "optimal": "yes" },
{ "source": "process4", "target": "process2", "value": 10, "optimal": "yes" },
{ "source": "process6", "target": "process8", "value": 15, "optimal": "yes" },
//{ "source": "process4", "target": "startB", "value": 5, "optimal": "yes" },
{ "source": "process3", "target": "process2", "value": 15, "optimal": "yes" },
//{ "source": "process3", "target": "startB", "value": 5, "optimal": "yes" },
{ "source": "process15", "target": "process13", "value": 10, "optimal": "yes" },
{ "source": "process13", "target": "process9", "value": 10, "optimal": "yes" },
{ "source": "process7", "target": "startB", "value": 20, "optimal": "yes" },
{ "source": "process8", "target": "process1", "value": 10, "optimal": "yes" },
{ "source": "process8", "target": "process16", "value": 10, "optimal": "yes" },
{ "source": "process16", "target": "process9", "value": 10, "optimal": "yes" },
{ "source": "process8", "target": "process11", "value": 25, "optimal": "yes" },
{ "source": "process11", "target": "process10", "value": 20, "optimal": "yes" },
{ "source": "process4", "target": "process12", "value": 10, "optimal": "yes" },
{ "source": "process12", "target": "process11", "value": 10, "optimal": "yes" },
{ "source": "process7", "target": "process15", "value": 15, "optimal": "yes" },
{ "source": "process15", "target": "process14", "value": 10, "optimal": "yes" },
{ "source": "process10", "target": "process13", "value": 10, "optimal": "yes" },
{ "source": "process10", "target": "process16", "value": 10, "optimal": "yes" },
{ "source": "process14", "target": "finishB", "value": 10, "optimal": "yes" },
{ "source": "process9", "target": "finishA", "value": 10, "optimal": "yes" },
{ "source": "process16", "target": "process8", "value": 10, "optimal": "yes" },
{ "source": "process9", "target": "finishB", "value": 10, "optimal": "yes" },
{ "source": "process15", "target": "finishB", "value": 10, "optimal": "yes" },
{ "source": "process15", "target": "finishA", "value": 10, "optimal": "yes" },
{ "source": "process11", "target": "process15", "value": 25, "optimal": "yes" },
{ "source": "process11", "target": "process11", "value": 5, "optimal": "yes" },
{ "source": "finishA", "target": "finishA", "value": 15, "optimal": "yes" },
{ "source": "finishB", "target": "finishB", "value": 15, "optimal": "yes" },
{ "source": "process5", "target": "process5", "value": 10, "optimal": "yes" },
{ "source": "finishB", "target": "process14", "value": 5, "optimal": "yes" }
]
};
<!DOCTYPE html>
<html>
<head>
<script src="https://d3js.org/d3.v4.min.js"></script>
<script src="d3-sankey-circular.js"></script>
<script src="https://d3js.org/d3-scale-chromatic.v1.min.js"></script>
<script src="example-data.js"></script>
<link href="https://fonts.googleapis.com/css?family=Roboto:100i" rel="stylesheet">
<title>Sankey with circular links</title>
<style>
body {
font-family: 'Roboto', sans-serif;
}
rect {
shape-rendering: crispEdges;
}
text {
font-size: 12px;
font-family: monospace;
}
.link {
fill: none;
}
</style>
</head>
<body>
<h1>Sankey with circular links</h1>
<div id="chart"></div>
<script>
var margin = { top: 250, right: 100, bottom: 130, left: 120 };
var width = 1000;
var height = 400;
let data = data5;
const nodePadding = 40;
const circularLinkGap = 2;
var sankey = d3.sankey()
.nodeWidth(10)
.nodePadding(nodePadding)
.nodePaddingRatio(0.5)
.scale(0.5)
.size([width, height])
.nodeId(function (d) {
return d.name;
})
.nodeAlign(d3.sankeyRight)
.iterations(32);
var svg = d3.select("#chart").append("svg")
.attr("width", width + margin.left + margin.right)
.attr("height", height + margin.top + margin.bottom);
var g = svg.append("g")
.attr("transform", "translate(" + margin.left + "," + margin.top + ")")
var linkG = g.append("g")
.attr("class", "links")
.attr("fill", "none")
.attr("stroke-opacity", 0.2)
.selectAll("path");
var nodeG = g.append("g")
.attr("class", "nodes")
.attr("font-family", "sans-serif")
.attr("font-size", 10)
.selectAll("g");
//run the Sankey + circular over the data
let sankeyData = sankey(data);
let sankeyNodes = sankeyData.nodes;
let sankeyLinks = sankeyData.links;
let depthExtent = d3.extent(sankeyNodes, function (d) { return d.depth; });
var nodeColour = d3.scaleSequential(d3.interpolateCool)
.domain([0,width]);
//Adjust link Y coordinates based on target/source Y positions
var node = nodeG.data(sankeyNodes)
.enter()
.append("g");
node.append("rect")
.attr("x", function (d) { return d.x0; })
.attr("y", function (d) { return d.y0; })
.attr("height", function (d) { return d.y1 - d.y0; })
.attr("width", function (d) { return d.x1 - d.x0; })
.style("fill", function (d) { return nodeColour(d.x0); })
//.style("fill", "black")
.style("opacity", 0.5)
//.style("stroke", "black")
.on("mouseover", function (d) {
let thisName = d.name;
node.selectAll("rect")
.style("opacity", function (d) {
return highlightNodes(d, thisName)
})
d3.selectAll(".sankey-link")
.style("opacity", function (l) {
return l.source.name == thisName || l.target.name == thisName ? 1 : 0.3;
})
node.selectAll("text")
.style("opacity", function (d) {
return highlightNodes(d, thisName)
})
})
.on("mouseout", function (d) {
d3.selectAll("rect").style("opacity", 0.5);
d3.selectAll(".sankey-link").style("opacity", 0.7);
d3.selectAll("text").style("opacity", 1);
})
node.append("text")
.attr("x", function (d) { return (d.x0 + d.x1) / 2; })
.attr("y", function (d) { return d.y0 - 12; })
.attr("dy", "0.35em")
.attr("text-anchor", "middle")
.text(function (d) { return d.name; });
node.append("title")
.text(function (d) { return d.name + "\n" + (d.value); });
var link = linkG.data(sankeyLinks)
.enter()
.append("g")
link.append("path")
.attr("class", "sankey-link")
.attr("d", sankeyPath)
.style("stroke-width", function (d) { return Math.max(1, d.width); })
.style("opacity", 0.7)
.style("stroke", function (link, i) {
return link.circular ? "red" : "black"
})
link.append("title")
.text(function (d) {
return d.source.name + " → " + d.target.name + "\n Index: " + (d.index);
});
var arrowsG = linkG.data(sankeyLinks)
.enter()
.append("g")
.attr("class", "g-arrow")
.call(appendArrows, 20, 300, 4)
function highlightNodes(node, name) {
let opacity = 0.3
if (node.name == name) {
opacity = 1;
}
node.sourceLinks.forEach(function (link) {
if (link.target.name == name) {
opacity = 1;
};
})
node.targetLinks.forEach(function (link) {
if (link.source.name == name) {
opacity = 1;
};
})
return opacity;
}
</script>
</body>
</html>
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