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/* The MIT License
Copyright (c) 2011 by Michael Zinsmaier and nergal.dev
Copyright (c) 2012 by Thomas Ritou
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.
*/
/*
____________________________________________________
what it is:
____________________________________________________
curvedLines is a plugin for flot, that tries to display lines in a smoother way.
The plugin is based on nergal.dev's work https://code.google.com/p/flot/issues/detail?id=226
and further extended with a mode that forces the min/max points of the curves to be on the
points. Both modes are achieved through adding of more data points
=> 1) with large data sets you may get trouble
=> 2) if you want to display the points too, you have to plot them as 2nd data series over the lines
This is version 0.5 of curvedLines so it will probably not work in every case. However
the basic form of use descirbed next works (:
Feel free to further improve the code
____________________________________________________
how to use it:
____________________________________________________
var d1 = [[5,5],[7,3],[9,12]];
var options = { series: { curvedLines: { active: true }}};
$.plot($("#placeholder"), [{data = d1, lines: { show: true}, curvedLines: {apply: true}}], options);
_____________________________________________________
options:
_____________________________________________________
active: bool true => plugin can be used
apply: bool true => series will be drawn as curved line
fit: bool true => forces the max,mins of the curve to be on the datapoints
curvePointFactor int defines how many "virtual" points are used per "real" data point to
emulate the curvedLines
fitPointDist: int defines the x axis distance of the additional two points that are used
to enforce the min max condition. (you will get curvePointFactor * 3 * |datapoints|
"virtual" points if fit is true)
+ line options (since v0.5 curved lines use flots line implementation for drawing
=> line options like fill, show ... are supported out of the box)
*/
/*
* v0.1 initial commit
* v0.15 negative values should work now (outcommented a negative -> 0 hook hope it does no harm)
* v0.2 added fill option (thanks to monemihir) and multi axis support (thanks to soewono effendi)
* v0.3 improved saddle handling and added basic handling of Dates
* 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
* v0.5 rewritten instead of implementing a own draw function CurvedLines is now based on the processDatapoints flot hook (credits go to thomas ritou).
* 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,
* shadow) are now supported out of the box
*/
(function($) {
var options = {
series : {
curvedLines : {
active : false,
apply: false,
fit : false,
curvePointFactor : 20,
fitPointDist : undefined
}
}
};
function init(plot) {
plot.hooks.processOptions.push(processOptions);
//if the plugin is active register processDatapoints method
function processOptions(plot, options) {
if (options.series.curvedLines.active) {
plot.hooks.processDatapoints.unshift(processDatapoints);
}
}
//only if the plugin is active
function processDatapoints(plot, series, datapoints) {
if (series.curvedLines.apply == true && series.originSeries === undefined) {
if (series.lines.fill) {
var pointsTop = calculateCurvePoints(datapoints, series.curvedLines, 1)
,pointsBottom = calculateCurvePoints(datapoints, series.curvedLines, 2); //flot makes sur for us that we've got a second y point if fill is true !
//Merge top and bottom curve
datapoints.pointsize = 3;
datapoints.points = [];
var j = 0;
var k = 0;
var i = 0;
var ps = 2;
while (i < pointsTop.length || j < pointsBottom.length) {
if (pointsTop[i] == pointsBottom[j]) {
datapoints.points[k] = pointsTop[i];
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 = $.extend({}, series.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;
}
}
}
//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(datapoints, curvedLinesOptions, yPos) {
var points = datapoints.points, ps = datapoints.pointsize;
var num = curvedLinesOptions.curvePointFactor * (points.length / ps);
var xdata = new Array;
var ydata = new Array;
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;
if(typeof curvedLinesOptions.fitPointDist == 'undefined') {
//estimate it
var minX = points[0];
var maxX = points[points.length-ps];
fpDist = (maxX - minX) / (500 * 100); //x range / (estimated pixel length of placeholder * factor)
} else {
//use user defined value
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 X s
front[X] = points[curX] - fpDist;
back[X] = points[curX] + fpDist;
var factor = 2;
while (front[X] == points[curX] || back[X] == points[curX]) {
//inside the ulp
front[X] = points[curX] - (fpDist * factor);
back[X] = points[curX] + (fpDist * factor);
factor++;
}
//add point Y s
back[Y] = points[curY];
front[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
//add curve points
xdata[j] = front[X];
ydata[j] = front[Y];
j++;
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] = 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;
var y2 = new Array();
var delta = new Array();
y2[0] = 0;
y2[n - 1] = 0;
delta[0] = 0;
for (var i = 1; i < n - 1; ++i) {
var d = (xdata[i + 1] - xdata[i - 1]);
if (d == 0) {
return null;
}
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 j = n - 2; j >= 0; --j) {
y2[j] = y2[j] * y2[j + 1] + delta[j];
}
var step = (xdata[n - 1] - xdata[0]) / (num - 1);
var xnew = new Array;
var ynew = new Array;
var result = new Array;
xnew[0] = xdata[0];
ynew[0] = ydata[0];
result.push(xnew[0]);
result.push(ynew[0]);
for ( j = 1; j < num; ++j) {
xnew[j] = xnew[0] + j * step;
var max = n - 1;
var min = 0;
while (max - min > 1) {
var k = Math.round((max + min) / 2);
if (xdata[k] > xnew[j]) {
max = k;
} else {
min = k;
}
}
var h = (xdata[max] - xdata[min]);
if (h == 0) {
return null;
}
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;
result.push(xnew[j]);
result.push(ynew[j]);
}
return result;
}
}//end init
$.plot.plugins.push({
init : init,
options : options,
name : 'curvedLines',
version : '0.5'
});
})(jQuery);
