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@ -1,6 +1,7 @@
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/* The MIT License
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Copyright (c) 2011 by Michael Zinsmaier and nergal.dev
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Copyright (c) 2012 by Thomas Ritou
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Permission is hereby granted, free of charge, to any person obtaining a copy
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of this software and associated documentation files (the "Software"), to deal
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@ -21,397 +22,322 @@
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THE SOFTWARE.
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*/
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/*
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/*
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____________________________________________________
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____________________________________________________
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what it is:
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____________________________________________________
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what it is:
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____________________________________________________
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curvedLines is a plugin for flot, that tries to display lines in a smoother way.
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The plugin is based on nergal.dev's work https://code.google.com/p/flot/issues/detail?id=226
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and further extended with a mode that forces the min/max points of the curves to be on the
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points. Both modes are achieved through adding of more data points
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=> 1) with large data sets you may get trouble
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=> 2) if you want to display the points too, you have to plot them as 2nd data series over the lines
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curvedLines is a plugin for flot, that tries to display lines in a smoother way.
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The plugin is based on nergal.dev's work https://code.google.com/p/flot/issues/detail?id=226
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and further extended with a mode that forces the min/max points of the curves to be on the
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points. Both modes are achieved through adding of more data points
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=> 1) with large data sets you may get trouble
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=> 2) if you want to display the points too, you have to plot them as 2nd data series over the lines
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This is version 0.3 of curvedLines so it will probably not work in every case. However
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the basic form of use descirbed next works (:
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Feel free to further improve the code
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This is version 0.5 of curvedLines so it will probably not work in every case. However
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the basic form of use descirbed next works (:
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____________________________________________________
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Feel free to further improve the code
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how to use it:
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____________________________________________________
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____________________________________________________
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var d1 = [[5,5],[7,3],[9,12]];
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how to use it:
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____________________________________________________
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var options = { series: { curvedLines: { active: true }}};
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var d1 = [[5,5],[7,3],[9,12]];
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$.plot($("#placeholder"), [{data = d1, curvedLines: { show: true}}], options);
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_____________________________________________________
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var options = { series: { curvedLines: { active: true }}};
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options:
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_____________________________________________________
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$.plot($("#placeholder"), [{data = d1, lines: { show: true}, curvedLines: {apply: true}}], options);
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fill: bool true => lines get filled
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fillColor: null or the color that should be used for filling
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active: bool true => plugin can be used
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show: bool true => series will be drawn as curved line
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fit: bool true => forces the max,mins of the curve to be on the datapoints
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lineWidth: int width of the line
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curvePointFactor int defines how many "virtual" points are used per "real" data point to
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emulate the curvedLines
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fitPointDist: int defines the x axis distance of the additional two points that are used
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to enforce the min max condition. (you will get curvePointFactor * 3 * |datapoints|
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"virtual" points if fit is true)
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*/
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_____________________________________________________
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/*
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* v0.1 initial commit
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* v0.15 negative values should work now (outcommented a negative -> 0 hook hope it does no harm)
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* v0.2 added fill option (thanks to monemihir) and multi axis support (thanks to soewono effendi)
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* v0.3 improved saddle handling and added basic handling of Dates
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*
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*/
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options:
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_____________________________________________________
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(function($) {
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var options = {
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series : {
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curvedLines : {
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active : false,
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show : false,
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fit : false,
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fill : false,
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fillColor : null,
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lineWidth : 2,
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curvePointFactor : 20,
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fitPointDist : 0.0001
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}
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}
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};
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active: bool true => plugin can be used
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apply: bool true => series will be drawn as curved line
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fit: bool true => forces the max,mins of the curve to be on the datapoints
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curvePointFactor int defines how many "virtual" points are used per "real" data point to
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emulate the curvedLines
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fitPointDist: int defines the x axis distance of the additional two points that are used
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to enforce the min max condition. (you will get curvePointFactor * 3 * |datapoints|
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"virtual" points if fit is true)
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+ line options (since v0.5 curved lines use flots line implementation for drawing
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=> line options like fill, show ... are supported out of the box)
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function init(plot) {
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*/
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plot.hooks.processOptions.push(processOptions);
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/*
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* v0.1 initial commit
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* v0.15 negative values should work now (outcommented a negative -> 0 hook hope it does no harm)
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* v0.2 added fill option (thanks to monemihir) and multi axis support (thanks to soewono effendi)
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* v0.3 improved saddle handling and added basic handling of Dates
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* v0.4 rewritten fill option (thomas ritou) mostly from original flot code (now fill between points rather than to graph bottom), corrected fill Opacity bug
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* v0.5 rewritten instead of implementing a own draw function CurvedLines is now based on the processDatapoints flot hook (credits go to thomas ritou).
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* This change breakes existing code however CurvedLines are now just many tiny straight lines to flot and therefore all flot lines options (like gradient fill,
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* shadow) are now supported out of the box
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*/
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//if the plugin is active register draw method
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function processOptions(plot, options) {
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if (options.series.curvedLines.active) {
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plot.hooks.draw.push(draw);
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}
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}
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//select the data sets that should be drawn with curved lines and draws them
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function draw(plot, ctx) {
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var series;
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var sdata = plot.getData();
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var offset = plot.getPlotOffset();
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for (var i = 0; i < sdata.length; i++) {
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series = sdata[i];
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if (series.curvedLines.show && series.curvedLines.lineWidth > 0) {
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axisx = series.xaxis;
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axisy = series.yaxis;
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ctx.save();
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ctx.translate(offset.left, offset.top);
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ctx.lineJoin = "round";
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ctx.strokeStyle = series.color;
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if (series.curvedLines.fill) {
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var fill = series.curvedLines.fill;
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var fillColor = series.curvedLines.fillColor == null ? series.color : series.curvedLines.fillColor;
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var c = $.color.parse(fillColor);
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c.a = typeof fill == "number" ? fill : 0.4;
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c.normalize();
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ctx.fillStyle = c.toString();
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}
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ctx.lineWidth = series.curvedLines.lineWidth;
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var points, dataX, dataY, data;
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//convenience check for x or y values if they are Dates if so apply .getTime()
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//only check on first value mixing numeric and Date fields in one input array is not allowed
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if (series.data[0][0] instanceof Date || series.data[0][1] instanceof Date) {
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data = series.data.map(getTimeFromDate);
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} else {
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//default case
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data = series.data;
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}
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(function($) {
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var points = calculateCurvePoints(data, series.curvedLines);
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plotLine(ctx, points, axisx, axisy, series.curvedLines.fill);
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ctx.restore();
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var options = {
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series : {
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curvedLines : {
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active : false,
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apply: false,
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fit : false,
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curvePointFactor : 20,
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fitPointDist : 0.0001
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}
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}
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}
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//helper method that convertes Dates to a numeric representation
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function getTimeFromDate(timeElement) {
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var xVal = timeElement[0];
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var yVal = timeElement[1];
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var ret = new Array;
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if (timeElement[0] instanceof Date) {
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ret[0] = xVal.getTime();
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} else {
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ret[0] = xVal;
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}
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};
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if (timeElement[1] instanceof Date) {
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ret[1] = yVal.getTime();
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} else {
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ret[1] = yVal;
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}
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return ret;
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}
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//nearly the same as in the core library
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//only ps is adjusted to 2
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function plotLine(ctx, points, axisx, axisy, fill) {
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var ps = 2;
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var prevx = null;
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var prevy = null;
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var firsty = 0;
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ctx.beginPath();
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for (var i = ps; i < points.length; i += ps) {
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var x1 = points[i - ps], y1 = points[i - ps + 1];
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var x2 = points[i], y2 = points[i + 1];
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if (x1 == null || x2 == null)
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continue;
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// clip with ymin
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if (y1 <= y2 && y1 < axisy.min) {
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if (y2 < axisy.min)
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continue;
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// line segment is outside
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// compute new intersection point
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x1 = (axisy.min - y1) / (y2 - y1) * (x2 - x1) + x1;
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y1 = axisy.min;
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} else if (y2 <= y1 && y2 < axisy.min) {
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if (y1 < axisy.min)
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continue;
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x2 = (axisy.min - y1) / (y2 - y1) * (x2 - x1) + x1;
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y2 = axisy.min;
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}
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function init(plot) {
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// clip with ymax
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if (y1 >= y2 && y1 > axisy.max) {
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if (y2 > axisy.max)
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continue;
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x1 = (axisy.max - y1) / (y2 - y1) * (x2 - x1) + x1;
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y1 = axisy.max;
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} else if (y2 >= y1 && y2 > axisy.max) {
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if (y1 > axisy.max)
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continue;
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x2 = (axisy.max - y1) / (y2 - y1) * (x2 - x1) + x1;
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y2 = axisy.max;
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}
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plot.hooks.processOptions.push(processOptions);
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// clip with xmin
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if (x1 <= x2 && x1 < axisx.min) {
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if (x2 < axisx.min)
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continue;
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y1 = (axisx.min - x1) / (x2 - x1) * (y2 - y1) + y1;
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x1 = axisx.min;
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} else if (x2 <= x1 && x2 < axisx.min) {
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if (x1 < axisx.min)
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continue;
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y2 = (axisx.min - x1) / (x2 - x1) * (y2 - y1) + y1;
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x2 = axisx.min;
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}
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//if the plugin is active register processDatapoints method
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function processOptions(plot, options) {
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// clip with xmax
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if (x1 >= x2 && x1 > axisx.max) {
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if (x2 > axisx.max)
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continue;
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y1 = (axisx.max - x1) / (x2 - x1) * (y2 - y1) + y1;
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x1 = axisx.max;
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} else if (x2 >= x1 && x2 > axisx.max) {
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if (x1 > axisx.max)
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continue;
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y2 = (axisx.max - x1) / (x2 - x1) * (y2 - y1) + y1;
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x2 = axisx.max;
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if (options.series.curvedLines.active) {
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plot.hooks.processDatapoints.push(processDatapoints);
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}
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}
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if (x1 != prevx || y1 != prevy)
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ctx.lineTo(axisx.p2c(x1), axisy.p2c(y1));
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if (prevx == null) {
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firsty = y2;
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//only if the plugin is active
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function processDatapoints(plot, series, datapoints) {
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if (series.curvedLines.apply == true) {
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if (series.lines.fill) {
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var pointsTop = calculateCurvePoints(datapoints, series.curvedLines, 1)
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,pointsBottom = calculateCurvePoints(datapoints, series.curvedLines, 2); //flot makes sur for us that we've got a second y point if fill is true !
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//Merge top and bottom curve
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datapoints.pointsize = 3;
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datapoints.points = [];
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var j = 0;
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var k = 0;
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var i = 0;
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var ps = 2;
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while (i < pointsTop.length || j < pointsBottom.length) {
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if (pointsTop[i] == pointsBottom[j]) {
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datapoints.points[k] = pointsTop[i];
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datapoints.points[k + 1] = pointsTop[i + 1];
|
|
|
|
|
datapoints.points[k + 2] = pointsBottom[j + 1];
|
|
|
|
|
j += ps;
|
|
|
|
|
i += ps;
|
|
|
|
|
|
|
|
|
|
} else if (pointsTop[i] < pointsBottom[j]) {
|
|
|
|
|
datapoints.points[k] = pointsTop[i];
|
|
|
|
|
datapoints.points[k + 1] = pointsTop[i + 1];
|
|
|
|
|
datapoints.points[k + 2] = k > 0 ? datapoints.points[k-1] : null;
|
|
|
|
|
i += ps;
|
|
|
|
|
} else {
|
|
|
|
|
datapoints.points[k] = pointsBottom[j];
|
|
|
|
|
datapoints.points[k + 1] = k > 1 ? datapoints.points[k-2] : null;
|
|
|
|
|
datapoints.points[k + 2] = pointsBottom[j + 1];
|
|
|
|
|
j += ps;
|
|
|
|
|
}
|
|
|
|
|
k += 3;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if (series.lines.lineWidth > 0) {//Let's draw line in separate series
|
|
|
|
|
var newSerie = $.extend({}, series);
|
|
|
|
|
newSerie.lines = $.extend({}, series.lines);
|
|
|
|
|
newSerie.lines.fill = undefined;
|
|
|
|
|
newSerie.label = undefined;
|
|
|
|
|
newSerie.datapoints = {};
|
|
|
|
|
//Redefine datapoints to top only (else it can have null values which will open the cruve !)
|
|
|
|
|
newSerie.datapoints.points = pointsTop;
|
|
|
|
|
newSerie.datapoints.pointsize = 2;
|
|
|
|
|
newSerie.curvedLines.apply = false;
|
|
|
|
|
//Don't redo curve point calculation as datapoint is copied to this new serie
|
|
|
|
|
//We find our series to add the line just after the fill (so other series you wanted above this one will still be)
|
|
|
|
|
var allSeries = plot.getData();
|
|
|
|
|
for ( i = 0; i < allSeries.length; i++) {
|
|
|
|
|
if (allSeries[i] == series) {
|
|
|
|
|
plot.getData().splice(i + 1, 0, newSerie);
|
|
|
|
|
break;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
series.lines.lineWidth = 0;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
} else if (series.lines.lineWidth > 0) {
|
|
|
|
|
datapoints.points = calculateCurvePoints(datapoints, series.curvedLines, 1);
|
|
|
|
|
datapoints.pointsize = 2;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
prevx = x2;
|
|
|
|
|
prevy = y2;
|
|
|
|
|
ctx.lineTo(axisx.p2c(x2), axisy.p2c(y2));
|
|
|
|
|
}
|
|
|
|
|
if (fill) {
|
|
|
|
|
ctx.lineTo(axisx.p2c(axisx.max), axisy.p2c(axisy.min));
|
|
|
|
|
ctx.lineTo(axisx.p2c(axisx.min), axisy.p2c(axisy.min));
|
|
|
|
|
ctx.lineTo(axisx.p2c(axisx.min), axisy.p2c(firsty));
|
|
|
|
|
ctx.fill();
|
|
|
|
|
}
|
|
|
|
|
ctx.stroke();
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
//no real idea whats going on here code mainly from https://code.google.com/p/flot/issues/detail?id=226
|
|
|
|
|
//if fit option is selected additional datapoints get inserted before the curve calculations in nergal.dev s code.
|
|
|
|
|
function calculateCurvePoints(data, curvedLinesOptions) {
|
|
|
|
|
|
|
|
|
|
var num = curvedLinesOptions.curvePointFactor * data.length;
|
|
|
|
|
var xdata = new Array;
|
|
|
|
|
var ydata = new Array;
|
|
|
|
|
|
|
|
|
|
var X = 0;
|
|
|
|
|
var Y = 1;
|
|
|
|
|
|
|
|
|
|
if (curvedLinesOptions.fit) {
|
|
|
|
|
//insert a point before and after the "real" data point to force the line
|
|
|
|
|
//to have a max,min at the data point however only if it is a lowest or highest point of the
|
|
|
|
|
//curve => avoid saddles
|
|
|
|
|
var neigh = curvedLinesOptions.fitPointDist;
|
|
|
|
|
var j = 0;
|
|
|
|
|
function calculateCurvePoints(datapoints, curvedLinesOptions, yPos) {
|
|
|
|
|
|
|
|
|
|
for (var i = 0; i < data.length; i++) {
|
|
|
|
|
var points = datapoints.points, ps = datapoints.pointsize;
|
|
|
|
|
var num = curvedLinesOptions.curvePointFactor * (points.length / ps);
|
|
|
|
|
|
|
|
|
|
var front = new Array;
|
|
|
|
|
var back = new Array;
|
|
|
|
|
var xdata = new Array;
|
|
|
|
|
var ydata = new Array;
|
|
|
|
|
|
|
|
|
|
//smooth front
|
|
|
|
|
front[X] = data[i][X] - 0.1;
|
|
|
|
|
if (i > 0) {
|
|
|
|
|
front[Y] = data[i-1][Y] * neigh + data[i][Y] * (1 - neigh);
|
|
|
|
|
} else {
|
|
|
|
|
front[Y] = data[i][Y];
|
|
|
|
|
}
|
|
|
|
|
var X = 0;
|
|
|
|
|
var Y = yPos;
|
|
|
|
|
|
|
|
|
|
var curX = -1;
|
|
|
|
|
var curY = -1;
|
|
|
|
|
var j = 0;
|
|
|
|
|
|
|
|
|
|
if (curvedLinesOptions.fit) {
|
|
|
|
|
//insert a point before and after the "real" data point to force the line
|
|
|
|
|
//to have a max,min at the data point however only if it is a lowest or highest point of the
|
|
|
|
|
//curve => avoid saddles
|
|
|
|
|
var fpDist = curvedLinesOptions.fitPointDist;
|
|
|
|
|
|
|
|
|
|
for (var i = 0; i < points.length; i += ps) {
|
|
|
|
|
|
|
|
|
|
var front = new Array;
|
|
|
|
|
var back = new Array;
|
|
|
|
|
curX = i;
|
|
|
|
|
curY = i + yPos;
|
|
|
|
|
|
|
|
|
|
//add point to front
|
|
|
|
|
front[X] = points[curX] - fpDist;
|
|
|
|
|
front[Y] = points[curY];
|
|
|
|
|
|
|
|
|
|
//add point to back
|
|
|
|
|
back[X] = points[curX] + fpDist;
|
|
|
|
|
back[Y] = points[curY];
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
//get points (front and back) Y value for saddle test
|
|
|
|
|
var frontPointY = points[curY];
|
|
|
|
|
var backPointY = points[curY];
|
|
|
|
|
if (i >= ps) {
|
|
|
|
|
frontPointY = points[curY - ps];
|
|
|
|
|
}
|
|
|
|
|
if ((i + ps) < points.length) {
|
|
|
|
|
backPointY = points[curY + ps];
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
//test for a saddle
|
|
|
|
|
if ((frontPointY <= points[curY] && backPointY <= points[curY]) || //max or partial horizontal
|
|
|
|
|
(frontPointY >= points[curY] && backPointY >= points[curY])) {//min or partial horizontal
|
|
|
|
|
|
|
|
|
|
//smooth back
|
|
|
|
|
back[X] = data[i][X] + 0.1;
|
|
|
|
|
if ((i + 1) < data.length) {
|
|
|
|
|
back[Y] = data[i+1][Y] * neigh + data[i][Y] * (1 - neigh);
|
|
|
|
|
} else {
|
|
|
|
|
back[Y] = data[i][Y];
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
//test for a saddle
|
|
|
|
|
if ((front[Y] <= data[i][Y] && back[Y] <= data[i][Y]) || //max or partial horizontal
|
|
|
|
|
(front[Y] >= data[i][Y] && back[Y] >= data[i][Y])) { //min or partial horizontal
|
|
|
|
|
|
|
|
|
|
//add curve points
|
|
|
|
|
xdata[j] = front[X];
|
|
|
|
|
ydata[j] = front[Y];
|
|
|
|
|
j++;
|
|
|
|
|
|
|
|
|
|
xdata[j] = data[i][0];
|
|
|
|
|
ydata[j] = data[i][1];
|
|
|
|
|
|
|
|
|
|
xdata[j] = points[curX];
|
|
|
|
|
ydata[j] = points[curY];
|
|
|
|
|
j++;
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
xdata[j] = back[X];
|
|
|
|
|
ydata[j] = back[Y];
|
|
|
|
|
j++;
|
|
|
|
|
} else { //saddle
|
|
|
|
|
//use original point only
|
|
|
|
|
xdata[j] = data[i][0];
|
|
|
|
|
ydata[j] = data[i][1];
|
|
|
|
|
j++;
|
|
|
|
|
} else {//saddle
|
|
|
|
|
//use original point only
|
|
|
|
|
xdata[j] = points[curX];
|
|
|
|
|
ydata[j] = points[curY];
|
|
|
|
|
j++;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
} else {
|
|
|
|
|
//just use the datapoints
|
|
|
|
|
for (var i = 0; i < points.length; i += ps) {
|
|
|
|
|
curX = i;
|
|
|
|
|
curY = i + yPos;
|
|
|
|
|
|
|
|
|
|
xdata[j] = points[curX];
|
|
|
|
|
ydata[j] = points[curY];
|
|
|
|
|
j++;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
var n = xdata.length;
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
} else {
|
|
|
|
|
//just use the datapoints
|
|
|
|
|
for (var i = 0; i < data.length; i++) {
|
|
|
|
|
xdata[i] = data[i][0];
|
|
|
|
|
ydata[i] = data[i][1];
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
var y2 = new Array();
|
|
|
|
|
var delta = new Array();
|
|
|
|
|
y2[0] = 0;
|
|
|
|
|
y2[n - 1] = 0;
|
|
|
|
|
delta[0] = 0;
|
|
|
|
|
|
|
|
|
|
var n = xdata.length;
|
|
|
|
|
for (var i = 1; i < n - 1; ++i) {
|
|
|
|
|
var d = (xdata[i + 1] - xdata[i - 1]);
|
|
|
|
|
if (d == 0) {
|
|
|
|
|
return null;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
var y2 = new Array();
|
|
|
|
|
var delta = new Array();
|
|
|
|
|
y2[0] = 0;
|
|
|
|
|
y2[n - 1] = 0;
|
|
|
|
|
delta[0] = 0;
|
|
|
|
|
var s = (xdata[i] - xdata[i - 1]) / d;
|
|
|
|
|
var p = s * y2[i - 1] + 2;
|
|
|
|
|
y2[i] = (s - 1) / p;
|
|
|
|
|
delta[i] = (ydata[i + 1] - ydata[i]) / (xdata[i + 1] - xdata[i]) - (ydata[i] - ydata[i - 1]) / (xdata[i] - xdata[i - 1]);
|
|
|
|
|
delta[i] = (6 * delta[i] / (xdata[i + 1] - xdata[i - 1]) - s * delta[i - 1]) / p;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
for (var i = 1; i < n - 1; ++i) {
|
|
|
|
|
var d = (xdata[i + 1] - xdata[i - 1]);
|
|
|
|
|
if (d == 0) {
|
|
|
|
|
return null;
|
|
|
|
|
for (var j = n - 2; j >= 0; --j) {
|
|
|
|
|
y2[j] = y2[j] * y2[j + 1] + delta[j];
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
var s = (xdata[i] - xdata[i - 1]) / d;
|
|
|
|
|
var p = s * y2[i - 1] + 2;
|
|
|
|
|
y2[i] = (s - 1) / p;
|
|
|
|
|
delta[i] = (ydata[i + 1] - ydata[i]) / (xdata[i + 1] - xdata[i]) - (ydata[i] - ydata[i - 1]) / (xdata[i] - xdata[i - 1]);
|
|
|
|
|
delta[i] = (6 * delta[i] / (xdata[i + 1] - xdata[i - 1]) - s * delta[i - 1]) / p;
|
|
|
|
|
}
|
|
|
|
|
var step = (xdata[n - 1] - xdata[0]) / (num - 1);
|
|
|
|
|
|
|
|
|
|
for (var j = n - 2; j >= 0; --j) {
|
|
|
|
|
y2[j] = y2[j] * y2[j + 1] + delta[j];
|
|
|
|
|
}
|
|
|
|
|
var xnew = new Array;
|
|
|
|
|
var ynew = new Array;
|
|
|
|
|
var result = new Array;
|
|
|
|
|
|
|
|
|
|
var step = (xdata[n - 1] - xdata[0]) / (num - 1);
|
|
|
|
|
xnew[0] = xdata[0];
|
|
|
|
|
ynew[0] = ydata[0];
|
|
|
|
|
|
|
|
|
|
var xnew = new Array;
|
|
|
|
|
var ynew = new Array;
|
|
|
|
|
var result = new Array;
|
|
|
|
|
result.push(xnew[0]);
|
|
|
|
|
result.push(ynew[0]);
|
|
|
|
|
|
|
|
|
|
xnew[0] = xdata[0];
|
|
|
|
|
ynew[0] = ydata[0];
|
|
|
|
|
for ( j = 1; j < num; ++j) {
|
|
|
|
|
xnew[j] = xnew[0] + j * step;
|
|
|
|
|
|
|
|
|
|
result.push(xnew[0]);
|
|
|
|
|
result.push(ynew[0]);
|
|
|
|
|
var max = n - 1;
|
|
|
|
|
var min = 0;
|
|
|
|
|
|
|
|
|
|
for ( j = 1; j < num; ++j) {
|
|
|
|
|
xnew[j] = xnew[0] + j * step;
|
|
|
|
|
while (max - min > 1) {
|
|
|
|
|
var k = Math.round((max + min) / 2);
|
|
|
|
|
if (xdata[k] > xnew[j]) {
|
|
|
|
|
max = k;
|
|
|
|
|
} else {
|
|
|
|
|
min = k;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
var max = n - 1;
|
|
|
|
|
var min = 0;
|
|
|
|
|
var h = (xdata[max] - xdata[min]);
|
|
|
|
|
|
|
|
|
|
while (max - min > 1) {
|
|
|
|
|
var k = Math.round((max + min) / 2);
|
|
|
|
|
if (xdata[k] > xnew[j]) {
|
|
|
|
|
max = k;
|
|
|
|
|
} else {
|
|
|
|
|
min = k;
|
|
|
|
|
if (h == 0) {
|
|
|
|
|
return null;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
var h = (xdata[max] - xdata[min]);
|
|
|
|
|
var a = (xdata[max] - xnew[j]) / h;
|
|
|
|
|
var b = (xnew[j] - xdata[min]) / h;
|
|
|
|
|
|
|
|
|
|
if (h == 0) {
|
|
|
|
|
return null;
|
|
|
|
|
ynew[j] = a * ydata[min] + b * ydata[max] + ((a * a * a - a) * y2[min] + (b * b * b - b) * y2[max]) * (h * h) / 6;
|
|
|
|
|
|
|
|
|
|
result.push(xnew[j]);
|
|
|
|
|
result.push(ynew[j]);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
var a = (xdata[max] - xnew[j]) / h;
|
|
|
|
|
var b = (xnew[j] - xdata[min]) / h;
|
|
|
|
|
|
|
|
|
|
ynew[j] = a * ydata[min] + b * ydata[max] + ((a * a * a - a) * y2[min] + (b * b * b - b) * y2[max]) * (h * h) / 6;
|
|
|
|
|
// if (ynew[j] < 0.01){
|
|
|
|
|
// ynew[j] = 0;
|
|
|
|
|
// }
|
|
|
|
|
result.push(xnew[j]);
|
|
|
|
|
result.push(ynew[j]);
|
|
|
|
|
return result;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
return result;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
}//end init
|
|
|
|
|
}//end init
|
|
|
|
|
|
|
|
|
|
$.plot.plugins.push({
|
|
|
|
|
init : init,
|
|
|
|
|
options : options,
|
|
|
|
|
name : 'curvedLines',
|
|
|
|
|
version : '0.5'
|
|
|
|
|
});
|
|
|
|
|
|
|
|
|
|
$.plot.plugins.push({
|
|
|
|
|
init : init,
|
|
|
|
|
options : options,
|
|
|
|
|
name : 'curvedLines',
|
|
|
|
|
version : '0.3'
|
|
|
|
|
});
|
|
|
|
|
})(jQuery);
|
|
|
|
|
|
|
|
|
|
})(jQuery);
|
|
|
|
|
|