/**
 * @license  Highcharts JS v6.1.0 (2018-04-13)
 *
 * (c) 2010-2017 Highsoft AS
 * Author: Sebastian Domas
 *
 * License: www.highcharts.com/license
 */
'use strict';
(function (factory) {
	if (typeof module === 'object' && module.exports) {
		module.exports = factory;
	} else {
		factory(Highcharts);
	}
}(function (Highcharts) {
	var derivedSeriesMixin = (function (H) {

		var each = H.each,
		    Series = H.Series,
		    addEvent = H.addEvent,
		    noop = H.noop;


		/* ***************************************************************************
		*
		* DERIVED SERIES MIXIN
		*
		**************************************************************************** */

		/**
		 * Provides methods for auto setting/updating series data based on the based
		 * series data.
		 *
		 * @mixin
		 **/
		var derivedSeriesMixin = {
		  /**
		   * Initialise series
		   *
		   * returns {undefined}
		   **/
		    init: function () {
		        Series.prototype.init.apply(this, arguments);

		        this.initialised = false;
		        this.baseSeries = null;
		        this.eventRemovers = [];

		        this.addEvents();
		    },

		  /**
		   * Method to be implemented - inside the method the series has already access
		   * to the base series via m `this.baseSeries` and the bases data is
		   * initialised. It should return data in the format accepted by
		   * `Series.setData()` method
		   *
		   * @returns {Array} - an array of data
		   **/
		    setDerivedData: noop,

		  /**
		   * Sets base series for the series
		   *
		   * returns {undefined}
		   **/
		    setBaseSeries: function () {
		        var chart = this.chart,
		            baseSeriesOptions = this.options.baseSeries,
		            baseSeries =
		        baseSeriesOptions &&
		        (chart.series[baseSeriesOptions] || chart.get(baseSeriesOptions));

		        this.baseSeries = baseSeries || null;
		    },

		  /**
		   * Adds events for the series
		   *
		   * @returns {undefined}
		   **/
		    addEvents: function () {
		        var derivedSeries = this,
		            chartSeriesLinked;

		        chartSeriesLinked = addEvent(
		            this.chart,
		            'afterLinkSeries',
		            function () {
		                derivedSeries.setBaseSeries();

		                if (derivedSeries.baseSeries && !derivedSeries.initialised) {
		                    derivedSeries.setDerivedData();
		                    derivedSeries.addBaseSeriesEvents();
		                    derivedSeries.initialised = true;
		                }
		            }
		        );

		        this.eventRemovers.push(
		            chartSeriesLinked
		        );
		    },

		  /**
		   * Adds events to the base series - it required for recalculating the data in
		   * the series if the base series is updated / removed / etc.
		   *
		   * @returns {undefined}
		   **/
		    addBaseSeriesEvents: function () {
		        var derivedSeries = this,
		            updatedDataRemover,
		            destroyRemover;

		        updatedDataRemover = addEvent(
		            derivedSeries.baseSeries,
		            'updatedData',
		            function () {
		                derivedSeries.setDerivedData();
		            }
		        );

		        destroyRemover = addEvent(
		            derivedSeries.baseSeries,
		            'destroy',
		            function () {
		                derivedSeries.baseSeries = null;
		                derivedSeries.initialised = false;
		            }
		        );

		        derivedSeries.eventRemovers.push(
		        updatedDataRemover,
		        destroyRemover
		      );
		    },

		  /**
		   * Destroys the series
		   *
		   * @returns {undefined}
		   **/
		    destroy: function () {
		        each(this.eventRemovers, function (remover) {
		            remover();
		        });

		        Series.prototype.destroy.apply(this, arguments);
		    }
		};


		return derivedSeriesMixin;
	}(Highcharts));
	(function (H, derivedSeriesMixin) {



		var each = H.each,
		    objectEach = H.objectEach,
		    seriesType = H.seriesType,
		    correctFloat = H.correctFloat,
		    isNumber = H.isNumber,
		    arrayMax = H.arrayMax,
		    arrayMin = H.arrayMin,
		    merge = H.merge;

		/* ***************************************************************************
		 *
		 * HISTOGRAM
		 *
		 **************************************************************************** */

		/**
		 * A dictionary with formulas for calculating number of bins based on the
		 * base series
		 **/
		var binsNumberFormulas = {
		    'square-root': function (baseSeries) {
		        return Math.round(Math.sqrt(baseSeries.options.data.length));
		    },

		    'sturges': function (baseSeries) {
		        return Math.ceil(Math.log(baseSeries.options.data.length) * Math.LOG2E);
		    },

		    'rice': function (baseSeries) {
		        return Math.ceil(2 * Math.pow(baseSeries.options.data.length, 1 / 3));
		    }
		};

		/**
		 * Returns a function for mapping number to the closed (right opened) bins
		 *
		 * @param {number} binWidth - width of the bin
		 * @returns {function}
		 **/
		function fitToBinLeftClosed(binWidth) {
		    return function (y) {
		        return Math.floor(y / binWidth) * binWidth;
		    };
		}

		/**
		 * Identity function - takes a param and returns that param
		 * It is used to grouping data with the same values
		 *
		 * @param {number} y - value
		 * @returns {number}
		 **/
		function identity(y) {
		    return y;
		}

		/**
		 * Histogram class
		 *
		 * @constructor seriesTypes.histogram
		 * @augments seriesTypes.column
		 * @mixes DerivedSeriesMixin
		 **/

		/**
		 * A histogram is a column series which represents the distribution of the data
		 * set in the base series. Histogram splits data into bins and shows their
		 * frequencies.
		 *
		 * @product highcharts
		 * @sample {highcharts} highcharts/demo/histogram/ Histogram
		 * @since 6.0.0
		 * @extends plotOptions.column
		 * @excluding boostThreshold, pointInterval, pointIntervalUnit, stacking
		 * @optionparent plotOptions.histogram
		 **/
		seriesType('histogram', 'column', {
		    /**
		      * A preferable number of bins. It is a suggestion, so a histogram may have
		      * a different number of bins. By default it is set to the square root
		      * of the base series' data length. Available options are: `square-root`,
		      * `sturges`, `rice`. You can also define a function which takes a
		      * `baseSeries` as a parameter and should return a positive integer.
		     *
		     * @type {String|Number|Function}
		     * @validvalue ["square-root", "sturges", "rice"]
		     */
		    binsNumber: 'square-root',

		    /**
		     * Width of each bin. By default the bin's width is calculated as
		     * `(max - min) / number of bins`. This option takes precedence over
		     * [binsNumber](#plotOptions.histogram.binsNumber).
		     *
		     * @type {Number}
		     */
		    binWidth: undefined,
		    pointPadding: 0,
		    groupPadding: 0,
		    grouping: false,
		    pointPlacement: 'between',
		    tooltip: {
		        headerFormat: '',
		        pointFormat: '<span style="font-size:10px">{point.x} - {point.x2}' +
		            '</span><br/>' +
		            '<span style="color:{point.color}">\u25CF</span>' +
		            ' {series.name} <b>{point.y}</b><br/>'
		    }

		}, merge(derivedSeriesMixin, {
		    setDerivedData: function () {
		        var data = this.derivedData(
		            this.baseSeries.yData,
		            this.binsNumber(),
		            this.options.binWidth
		        );

		        this.setData(data, false);
		    },

		    derivedData: function (baseData, binsNumber, binWidth) {
		        var max = arrayMax(baseData),
		            min = arrayMin(baseData),
		            frequencies = {},
		            data = [],
		            x,
		            fitToBin;

		        binWidth = this.binWidth = isNumber(binWidth) ?
		            binWidth :
		            (max - min) / binsNumber;

		        fitToBin = binWidth ? fitToBinLeftClosed(binWidth) : identity;

		        // If binWidth is 0 then max and min are equaled,
		        // increment the x with some positive value to quit the loop
		        for (
		            x = fitToBin(min);
		            x <= max;
		            x = correctFloat(x + (binWidth || 1))
		        ) {
		            frequencies[correctFloat(fitToBin((x)))] = 0;
		        }

		        each(baseData, function (y) {
		            var x = correctFloat(fitToBin(y));
		            frequencies[x]++;
		        });

		        objectEach(frequencies, function (frequency, x) {
		            data.push({
		                x: Number(x),
		                y: frequency,
		                x2: correctFloat(Number(x) + binWidth)
		            });
		        });

		        data.sort(function (a, b) {
		            return a.x - b.x;
		        });

		        return data;
		    },

		    binsNumber: function () {
		        var binsNumberOption = this.options.binsNumber;
		        var binsNumber = binsNumberFormulas[binsNumberOption] ||
		            // #7457
		            (typeof binsNumberOption === 'function' && binsNumberOption);

		        return Math.ceil(
		            (binsNumber && binsNumber(this.baseSeries)) ||
		            (
		                isNumber(binsNumberOption) ?
		                    binsNumberOption :
		                    binsNumberFormulas['square-root'](this.baseSeries)
		            )
		        );
		    }
		}));

		/**
		 * A `histogram` series. If the [type](#series.histogram.type) option is not
		 * specified, it is inherited from [chart.type](#chart.type).
		 *
		 * @type {Object}
		 * @since 6.0.0
		 * @extends series,plotOptions.histogram
		 * @excluding dataParser,dataURL,data
		 * @product highcharts
		 * @apioption series.histogram
		 */

		/**
		 * An integer identifying the index to use for the base series, or a string
		 * representing the id of the series.
		 *
		 * @type {Number|String}
		 * @default undefined
		 * @apioption series.histogram.baseSeries
		 */

		/**
		 * An array of data points for the series. For the `histogram` series type,
		 * points are calculated dynamically. See
		 * [histogram.baseSeries](#series.histogram.baseSeries).
		 *
		 * @type {Array<Object|Array>}
		 * @since 6.0.0
		 * @extends series.column.data
		 * @product highcharts
		 * @apioption series.histogram.data
		 */

	}(Highcharts, derivedSeriesMixin));
	(function (H, derivedSeriesMixin) {



		var seriesType = H.seriesType,
		    correctFloat = H.correctFloat,
		    isNumber = H.isNumber,
		    merge = H.merge,
		    reduce = H.reduce;


		/** ****************************************************************************
		 *
		 * BELL CURVE
		 *
		 ******************************************************************************/

		function mean(data) {
		    var length = data.length,
		        sum = reduce(data, 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 = reduce(data, 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
		 *
		 * @constructor seriesTypes.bellcurve
		 * @augments seriesTypes.areaspline
		 * @mixes DerivedSeriesMixin
		 **/

		/**
		 * 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.
		 *
		 * @product      highcharts
		 * @sample       {highcharts} highcharts/demo/bellcurve/ Bell curve
		 * @since        6.0.0
		 * @extends      plotOptions.areaspline
		 * @excluding    boostThreshold,connectNulls,stacking,pointInterval,
		 *               pointIntervalUnit
		 * @optionparent plotOptions.bellcurve
		 **/
		seriesType('bellcurve', 'areaspline', {
		   /**
		    * 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).
		*
		* @type      {Object}
		* @since     6.0.0
		* @extends   series,plotOptions.bellcurve
		* @excluding dataParser,dataURL,data
		* @product   highcharts
		* @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}
		* @default   undefined
		* @apioption series.bellcurve.baseSeries
		*/

		/**
		* An array of data points for the series. For the `bellcurve` series type,
		* points are calculated dynamically.
		*
		* @type      {Array<Object|Array>}
		* @since     6.0.0
		* @extends   series.areaspline.data
		* @product   highcharts
		* @apioption series.bellcurve.data
		*/

	}(Highcharts, derivedSeriesMixin));
}));