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/* *
* (c) 2010-2019 Highsoft AS
*
* Author: Sebastian Domas
*
* License: www.highcharts.com/license
*/
'use strict';
import H from '../parts/Globals.js';
import '../parts/Utilities.js';
import derivedSeriesMixin from '../mixins/derived-series.js';
var seriesType = H.seriesType,
correctFloat = H.correctFloat,
isNumber = H.isNumber,
merge = H.merge;
/* ************************************************************************** *
* BELL CURVE *
* ************************************************************************** */
function mean(data) {
var length = data.length,
sum = data.reduce(function (sum, value) {
return (sum += value);
}, 0);
return length > 0 && sum / length;
}
function standardDeviation(data, average) {
var len = data.length,
sum;
average = isNumber(average) ? average : mean(data);
sum = data.reduce(function (sum, value) {
var diff = value - average;
return (sum += diff * diff);
}, 0);
return len > 1 && Math.sqrt(sum / (len - 1));
}
function normalDensity(x, mean, standardDeviation) {
var translation = x - mean;
return Math.exp(
-(translation * translation) /
(2 * standardDeviation * standardDeviation)
) / (standardDeviation * Math.sqrt(2 * Math.PI));
}
/**
* Bell curve class
*
* @private
* @class
* @name Highcharts.seriesTypes.bellcurve
*
* @augments Highcharts.Series
*
* @mixes DerivedSeriesMixin
*/
seriesType('bellcurve', 'areaspline'
/**
* A bell curve is an areaspline series which represents the probability density
* function of the normal distribution. It calculates mean and standard
* deviation of the base series data and plots the curve according to the
* calculated parameters.
*
* @sample {highcharts} highcharts/demo/bellcurve/
* Bell curve
*
* @extends plotOptions.areaspline
* @since 6.0.0
* @product highcharts
* @excluding boostThreshold, connectNulls, stacking, pointInterval,
* pointIntervalUnit
* @optionparent plotOptions.bellcurve
*/
, {
/**
* This option allows to define the length of the bell curve. A unit of the
* length of the bell curve is standard deviation.
*
* @sample highcharts/plotoptions/bellcurve-intervals-pointsininterval
* Intervals and points in interval
*/
intervals: 3,
/**
* Defines how many points should be plotted within 1 interval. See
* `plotOptions.bellcurve.intervals`.
*
* @sample highcharts/plotoptions/bellcurve-intervals-pointsininterval
* Intervals and points in interval
*/
pointsInInterval: 3,
marker: {
enabled: false
}
}, merge(derivedSeriesMixin, {
setMean: function () {
this.mean = correctFloat(mean(this.baseSeries.yData));
},
setStandardDeviation: function () {
this.standardDeviation = correctFloat(
standardDeviation(this.baseSeries.yData, this.mean)
);
},
setDerivedData: function () {
if (this.baseSeries.yData.length > 1) {
this.setMean();
this.setStandardDeviation();
this.setData(
this.derivedData(this.mean, this.standardDeviation), false
);
}
},
derivedData: function (mean, standardDeviation) {
var intervals = this.options.intervals,
pointsInInterval = this.options.pointsInInterval,
x = mean - intervals * standardDeviation,
stop = intervals * pointsInInterval * 2 + 1,
increment = standardDeviation / pointsInInterval,
data = [],
i;
for (i = 0; i < stop; i++) {
data.push([x, normalDensity(x, mean, standardDeviation)]);
x += increment;
}
return data;
}
}));
/**
* A `bellcurve` series. If the [type](#series.bellcurve.type) option is not
* specified, it is inherited from [chart.type](#chart.type).
*
* For options that apply to multiple series, it is recommended to add
* them to the [plotOptions.series](#plotOptions.series) options structure.
* To apply to all series of this specific type, apply it to
* [plotOptions.bellcurve](#plotOptions.bellcurve).
*
* @extends series,plotOptions.bellcurve
* @since 6.0.0
* @product highcharts
* @excluding dataParser, dataURL, data
* @apioption series.bellcurve
*/
/**
* An integer identifying the index to use for the base series, or a string
* representing the id of the series.
*
* @type {number|string}
* @apioption series.bellcurve.baseSeries
*/