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+/**
+ * jqPlot
+ * Pure JavaScript plotting plugin using jQuery
+ *
+ * Version: 1.0.8
+ * Revision: 1250
+ *
+ * Copyright (c) 2009-2013 Chris Leonello
+ * jqPlot is currently available for use in all personal or commercial projects
+ * under both the MIT (http://www.opensource.org/licenses/mit-license.php) and GPL
+ * version 2.0 (http://www.gnu.org/licenses/gpl-2.0.html) licenses. This means that you can
+ * choose the license that best suits your project and use it accordingly.
+ *
+ * Although not required, the author would appreciate an email letting him
+ * know of any substantial use of jqPlot. You can reach the author at:
+ * chris at jqplot dot com or see http://www.jqplot.com/info.php .
+ *
+ * If you are feeling kind and generous, consider supporting the project by
+ * making a donation at: http://www.jqplot.com/donate.php .
+ *
+ * sprintf functions contained in jqplot.sprintf.js by Ash Searle:
+ *
+ * version 2007.04.27
+ * author Ash Searle
+ * http://hexmen.com/blog/2007/03/printf-sprintf/
+ * http://hexmen.com/js/sprintf.js
+ * The author (Ash Searle) has placed this code in the public domain:
+ * "This code is unrestricted: you are free to use it however you like."
+ *
+ */
+(function($) {
+
+ /**
+ * Class: $.jqplot.Trendline
+ * Plugin which will automatically compute and draw trendlines for plotted data.
+ */
+ $.jqplot.Trendline = function() {
+ // Group: Properties
+
+ // prop: show
+ // Wether or not to show the trend line.
+ this.show = $.jqplot.config.enablePlugins;
+ // prop: color
+ // CSS color spec for the trend line.
+ // By default this wil be the same color as the primary line.
+ this.color = '#666666';
+ // prop: renderer
+ // Renderer to use to draw the trend line.
+ // The data series that is plotted may not be rendered as a line.
+ // Therefore, we use our own line renderer here to draw a trend line.
+ this.renderer = new $.jqplot.LineRenderer();
+ // prop: rendererOptions
+ // Options to pass to the line renderer.
+ // By default, markers are not shown on trend lines.
+ this.rendererOptions = {marker:{show:false}};
+ // prop: label
+ // Label for the trend line to use in the legend.
+ this.label = '';
+ // prop: type
+ // Either 'exponential', 'exp', or 'linear'.
+ this.type = 'linear';
+ // prop: shadow
+ // true or false, whether or not to show the shadow.
+ this.shadow = true;
+ // prop: markerRenderer
+ // Renderer to use to draw markers on the line.
+ // I think this is wrong.
+ this.markerRenderer = {show:false};
+ // prop: lineWidth
+ // Width of the trend line.
+ this.lineWidth = 1.5;
+ // prop: shadowAngle
+ // Angle of the shadow on the trend line.
+ this.shadowAngle = 45;
+ // prop: shadowOffset
+ // pixel offset for each stroke of the shadow.
+ this.shadowOffset = 1.0;
+ // prop: shadowAlpha
+ // Alpha transparency of the shadow.
+ this.shadowAlpha = 0.07;
+ // prop: shadowDepth
+ // number of strokes to make of the shadow.
+ this.shadowDepth = 3;
+ this.isTrendline = true;
+
+ };
+
+ $.jqplot.postSeriesInitHooks.push(parseTrendLineOptions);
+ $.jqplot.postDrawSeriesHooks.push(drawTrendline);
+ $.jqplot.addLegendRowHooks.push(addTrendlineLegend);
+
+ // called witin scope of the legend object
+ // current series passed in
+ // must return null or an object {label:label, color:color}
+ function addTrendlineLegend(series) {
+ var ret = null;
+ if (series.trendline && series.trendline.show) {
+ var lt = series.trendline.label.toString();
+ if (lt) {
+ ret = {label:lt, color:series.trendline.color};
+ }
+ }
+ return ret;
+ }
+
+ // called within scope of a series
+ function parseTrendLineOptions (target, data, seriesDefaults, options, plot) {
+ if (this._type && (this._type === 'line' || this._type == 'bar')) {
+ this.trendline = new $.jqplot.Trendline();
+ options = options || {};
+ $.extend(true, this.trendline, {color:this.color}, seriesDefaults.trendline, options.trendline);
+ this.trendline.renderer.init.call(this.trendline, null);
+ }
+ }
+
+ // called within scope of series object
+ function drawTrendline(sctx, options) {
+ // if we have options, merge trendline options in with precedence
+ options = $.extend(true, {}, this.trendline, options);
+
+ if (this.trendline && options.show) {
+ var fit;
+ // this.renderer.setGridData.call(this);
+ var data = options.data || this.data;
+ fit = fitData(data, this.trendline.type);
+ var gridData = options.gridData || this.renderer.makeGridData.call(this, fit.data);
+ this.trendline.renderer.draw.call(this.trendline, sctx, gridData, {showLine:true, shadow:this.trendline.shadow});
+ }
+ }
+
+ function regression(x, y, typ) {
+ var type = (typ == null) ? 'linear' : typ;
+ var N = x.length;
+ var slope;
+ var intercept;
+ var SX = 0;
+ var SY = 0;
+ var SXX = 0;
+ var SXY = 0;
+ var SYY = 0;
+ var Y = [];
+ var X = [];
+
+ if (type == 'linear') {
+ X = x;
+ Y = y;
+ }
+ else if (type == 'exp' || type == 'exponential') {
+ for ( var i=0; i<y.length; i++) {
+ // ignore points <= 0, log undefined.
+ if (y[i] <= 0) {
+ N--;
+ }
+ else {
+ X.push(x[i]);
+ Y.push(Math.log(y[i]));
+ }
+ }
+ }
+
+ for ( var i = 0; i < N; i++) {
+ SX = SX + X[i];
+ SY = SY + Y[i];
+ SXY = SXY + X[i]* Y[i];
+ SXX = SXX + X[i]* X[i];
+ SYY = SYY + Y[i]* Y[i];
+ }
+
+ slope = (N*SXY - SX*SY)/(N*SXX - SX*SX);
+ intercept = (SY - slope*SX)/N;
+
+ return [slope, intercept];
+ }
+
+ function linearRegression(X,Y) {
+ var ret;
+ ret = regression(X,Y,'linear');
+ return [ret[0],ret[1]];
+ }
+
+ function expRegression(X,Y) {
+ var ret;
+ var x = X;
+ var y = Y;
+ ret = regression(x, y,'exp');
+ var base = Math.exp(ret[0]);
+ var coeff = Math.exp(ret[1]);
+ return [base, coeff];
+ }
+
+ function fitData(data, typ) {
+ var type = (typ == null) ? 'linear' : typ;
+ var ret;
+ var res;
+ var x = [];
+ var y = [];
+ var ypred = [];
+
+ for (i=0; i<data.length; i++){
+ if (data[i] != null && data[i][0] != null && data[i][1] != null) {
+ x.push(data[i][0]);
+ y.push(data[i][1]);
+ }
+ }
+
+ if (type == 'linear') {
+ ret = linearRegression(x,y);
+ for ( var i=0; i<x.length; i++){
+ res = ret[0]*x[i] + ret[1];
+ ypred.push([x[i], res]);
+ }
+ }
+ else if (type == 'exp' || type == 'exponential') {
+ ret = expRegression(x,y);
+ for ( var i=0; i<x.length; i++){
+ res = ret[1]*Math.pow(ret[0],x[i]);
+ ypred.push([x[i], res]);
+ }
+ }
+ return {data: ypred, slope: ret[0], intercept: ret[1]};
+ }
+
+})(jQuery); \ No newline at end of file