// Shared by the vanilla-js, React and Vue builds.
//
// Both series carry RAW OBSERVATIONS, one number per trip. The chart bins them,
// and every series is binned against the SAME edges, derived from their combined
// extent. That is what makes two distributions comparable: bin each to its own
// range and identical bars would sit at different values.
//
// 900 door-to-door commute times per mode, from a seeded generator so the page
// is deterministic.
var COMMUTES = (function () {
var seed = 20260813
function rand() {
seed = (seed * 16807) % 2147483647
return (seed - 1) / 2147483646
}
// Box-Muller into a log-normal: journey times are right-skewed, since a trip
// can go badly wrong but cannot finish in less than no time.
function trips(n, mu, sigma) {
var out = []
for (var i = 0; i < n; i++) {
var u1 = Math.max(rand(), 1e-9)
var u2 = rand()
var z = Math.sqrt(-2 * Math.log(u1)) * Math.cos(2 * Math.PI * u2)
out.push(Math.round(Math.exp(mu + z * sigma)))
}
return out
}
return {
// Driving is quicker on a typical day and far less predictable: a lower
// centre, a much heavier tail.
car: trips(900, 3.25, 0.5),
transit: trips(900, 3.45, 0.2),
}
})()
function median(values) {
var sorted = values.slice().sort(function (a, b) {
return a - b
})
var mid = Math.floor(sorted.length / 2)
return sorted.length % 2 ? sorted[mid] : (sorted[mid - 1] + sorted[mid]) / 2
}
// The bad-day figure: the trip you should actually plan around.
function worstTwentieth(values) {
var sorted = values.slice().sort(function (a, b) {
return a - b
})
return sorted[Math.floor((sorted.length - 1) * 0.95)]
}
function renderStats() {
var el = document.querySelector('#stats')
if (!el) return
el.innerHTML =
'Car: typical <b>' +
median(COMMUTES.car) +
' min</b>, ' +
'bad day <b>' +
worstTwentieth(COMMUTES.car) +
' min</b> · ' +
'Transit: typical <b>' +
median(COMMUTES.transit) +
' min</b>, ' +
'bad day <b>' +
worstTwentieth(COMMUTES.transit) +
' min</b>'
}
// Wires the arrangement toggle to a live chart. Shared by all three builds.
function wireComparisonControls(chart) {
var buttons = [].slice.call(document.querySelectorAll('[data-overlap]'))
buttons.forEach(function (b) {
b.addEventListener('click', function () {
var overlap = b.getAttribute('data-overlap') === 'true'
buttons.forEach(function (other) {
other.className = other === b ? 'on' : ''
})
chart.updateOptions({
plotOptions: { histogram: { overlap: overlap } },
// The defaults that come with an overlay are ordinary defaults, so a
// runtime switch has to carry them itself.
fill: { opacity: overlap ? 0.65 : 0.85 },
stroke: overlap
? { show: false }
: { show: true, width: 1, colors: ['#fff'] },
})
})
})
renderStats()
}
var options = {
series: [
{
name: 'Car',
data: COMMUTES.car,
},
{
name: 'Transit',
data: COMMUTES.transit,
},
],
chart: {
id: 'commutes',
type: 'histogram',
// Fixed width, not responsive: thin bars make every bar edge a hairline, so a
// page-width nudge of a pixel or two visibly moves the whole distribution.
width: 700,
height: 400,
toolbar: {
show: false,
},
},
plotOptions: {
histogram: {
bins: 'auto',
// The default with more than one series. Every distribution is drawn across
// the full bin so they lie on top of one another; set false for side-by-side
// bars. All series share one set of bin edges either way.
overlap: true,
},
},
colors: ['#f2a43a', '#5d6d9e'],
xaxis: {
title: {
text: 'Door-to-door time (minutes)',
},
labels: {
formatter: function (val) {
return Math.round(val)
},
},
},
yaxis: {
title: {
text: 'Trips',
},
},
legend: {
position: 'top',
horizontalAlign: 'right',
},
}
var chart = new ApexCharts(document.querySelector('#chart'), options)
chart.render()
// COMMUTES and wireComparisonControls live in the shared head script.
wireComparisonControls(chart)