/*
Copyright (c) 2004-2011, The Dojo Foundation All Rights Reserved.
Available via Academic Free License >= 2.1 OR the modified BSD license.
see: http://dojotoolkit.org/license for details
*/
if(!dojo._hasResource["dojox.calc.Grapher"]){ //_hasResource checks added by build. Do not use _hasResource directly in your code.
dojo._hasResource["dojox.calc.Grapher"] = true;
dojo.provide("dojox.calc.Grapher");
dojo.require("dijit._Templated");
dojo.require("dojox.math._base");
dojo.require("dijit.dijit");
dojo.require("dijit.form.DropDownButton");
dojo.require("dijit.TooltipDialog");
dojo.require("dijit.form.TextBox");
dojo.require("dijit.form.Button");
dojo.require("dijit.form.ComboBox");
dojo.require("dijit.form.Select");
dojo.require("dijit.form.CheckBox");
dojo.require("dijit.ColorPalette");
dojo.require("dojox.charting.Chart2D");
dojo.require("dojox.charting.themes.Tufte");
dojo.require("dojo.colors");
dojo.experimental("dojox.calc.Grapher");
dojo.declare(
"dojox.calc.Grapher",
[dijit._Widget, dijit._Templated],
{
// summary:
// The dialog layout for making graphs
//
templateString: dojo.cache("dojox.calc", "templates/Grapher.html", "<div>\n<div dojoAttachPoint=\"chartsParent\" class=\"dojoxCalcChartHolder\"></div>\n<span dojoAttachPoint=\"outerDiv\">\n<div dojoType=\"dijit.form.DropDownButton\" dojoAttachPoint=\"windowOptions\" class=\"dojoxCalcDropDownForWindowOptions\" title=\"Window Options\">\n\t<div>Window Options</div>\n\t<div dojoType=\"dijit.TooltipDialog\" dojoAttachPoint=\"windowOptionsInside\" class=\"dojoxCalcTooltipDialogForWindowOptions\" title=\"\">\n\t\t<table class=\"dojoxCalcGraphOptionTable\">\n\t\t\t<tr>\n\t\t\t\t<td>\n\t\t\t\t\tWidth:\n\t\t\t\t</td>\n\t\t\t\t<td>\n\t\t\t\t\t<input dojoType=\"dijit.form.TextBox\" dojoAttachPoint=\"graphWidth\" class=\"dojoxCalcGraphWidth\" value=\"500\" />\n\t\t\t\t</td>\n\t\t\t\t<td>\n\t\t\t\t\tHeight:\n\t\t\t\t</td>\n\t\t\t\t<td>\n\t\t\t\t\t<input dojoType=\"dijit.form.TextBox\" dojoAttachPoint=\"graphHeight\" class=\"dojoxCalcGraphHeight\" value=\"500\" />\n\t\t\t\t</td>\n\t\t\t</tr>\n\t\t\t<tr>\n\t\t\t\t<td>\n\t\t\t\t\tX >=\n\t\t\t\t</td>\n\t\t\t\t<td>\n\t\t\t\t\t<input dojoType=\"dijit.form.TextBox\" dojoAttachPoint=\"graphMinX\" class=\"dojoxCalcGraphMinX\" value=\"-10\" />\n\t\t\t\t</td>\n\n\t\t\t\t<td>\n\t\t\t\t\tX <=\n\t\t\t\t</td>\n\t\t\t\t<td>\n\t\t\t\t\t<input dojoType=\"dijit.form.TextBox\" dojoAttachPoint=\"graphMaxX\" class=\"dojoxCalcGraphMaxX\" value=\"10\" />\n\t\t\t\t</td>\n\t\t\t</tr>\n\t\t\t<tr>\n\t\t\t\t<td>\n\t\t\t\t\tY >=\n\t\t\t\t</td>\n\t\t\t\t<td>\n\t\t\t\t\t<input dojoType=\"dijit.form.TextBox\" dojoAttachPoint=\"graphMinY\" class=\"dojoxCalcGraphMinY\" value=\"-10\" />\n\t\t\t\t</td>\n\n\t\t\t\t<td>\n\t\t\t\t\tY <=\n\t\t\t\t</td>\n\t\t\t\t<td>\n\t\t\t\t\t<input dojoType=\"dijit.form.TextBox\" dojoAttachPoint=\"graphMaxY\" class=\"dojoxCalcGraphMaxY\" value=\"10\" />\n\t\t\t\t</td>\n\t\t\t</tr>\n\t\t</table>\n\t</div>\n</div>\n\n<BR>\n\n<div class=\"dojoxCalcGrapherFuncOuterDiv\">\n\t<table class=\"dojoxCalcGrapherFuncTable\" dojoAttachPoint=\"graphTable\">\n\t</table>\n</div>\n\n<div dojoType=\"dijit.form.DropDownButton\" dojoAttachPoint='addFuncButton' class=\"dojoxCalcDropDownAddingFunction\">\n\t<div>Add Function</div>\n\t<div dojoType=\"dijit.TooltipDialog\" dojoAttachPoint=\"addFuncInside\" class=\"dojoxCalcTooltipDialogAddingFunction\" title=\"\">\n\t\t<table class=\"dojoxCalcGrapherModeTable\">\n\t\t\t<tr>\n\t\t\t\t<td>\n\t\t\t\t\tMode:\n\t\t\t\t</td>\n\t\t\t\t<td>\n\t\t\t\t\t<select dojoType=\"dijit.form.Select\" dojoAttachPoint=\"funcMode\" class=\"dojoxCalcFunctionModeSelector\">\n\t\t\t\t\t\t<option value=\"y=\" selected=\"selected\">y=</option>\n\t\t\t\t\t\t<option value=\"x=\">x=</option>\n\t\t\t\t\t</select>\n\t\t\t\t</td>\n\t\t\t\t<td>\n\t\t\t</tr>\n\t\n\t\t\t<tr>\n\t\t\t\t<td>\n\t\t\t\t\t<input dojoType=\"dijit.form.Button\" dojoAttachPoint=\"createFunc\" class=\"dojoxCalcAddFunctionButton\" label=\"Create\" />\n\t\t\t\t</td>\n\t\t\t</tr>\n\t\t</table>\n\t</div>\n</div>\n<BR>\n<BR>\n<table class=\"dijitInline dojoxCalcGrapherLayout\">\n\t<tr>\n\t\t<td class=\"dojoxCalcGrapherButtonContainer\">\n\t\t\t<input dojoType=\"dijit.form.Button\" class=\"dojoxCalcGrapherButton\" dojoAttachPoint='selectAllButton' label=\"Select All\" />\n\t\t</td>\n\t\t<td class=\"dojoxCalcGrapherButtonContainer\">\n\t\t\t<input dojoType=\"dijit.form.Button\" class=\"dojoxCalcGrapherButton\" dojoAttachPoint='deselectAllButton' label=\"Deselect All\" />\n\t\t</td>\n\t</tr>\n\t<tr>\n\t\t<td class=\"dojoxCalcGrapherButtonContainer\">\n\t\t\t<input dojoType=\"dijit.form.Button\" class=\"dojoxCalcGrapherButton\" dojoAttachPoint='drawButton'label=\"Draw Selected\" />\n\t\t</td>\n\t\t<td class=\"dojoxCalcGrapherButtonContainer\">\n\t\t\t<input dojoType=\"dijit.form.Button\" class=\"dojoxCalcGrapherButton\" dojoAttachPoint='eraseButton' label=\"Erase Selected\" />\n\t\t</td>\n\t</tr>\n\t<tr>\n\t\t<td class=\"dojoxCalcGrapherButtonContainer\">\n\t\t\t<input dojoType=\"dijit.form.Button\" class=\"dojoxCalcGrapherButton\" dojoAttachPoint='deleteButton' label=\"Delete Selected\" />\n\t\t</td>\n\t\t<td class=\"dojoxCalcGrapherButtonContainer\">\n\t\t\t<input dojoType=\"dijit.form.Button\" class=\"dojoxCalcGrapherButton\" dojoAttachPoint='closeButton' label=\"Close\" />\n\t\t</td>\n\t</tr>\n</table>\n</span>\n</div>\n"),
widgetsInTemplate:true,
addXYAxes: function(chart){
// summary:
// add or re-add the default x/y axes to the Chart2D provided
// params:
// chart is an instance of dojox.charting.Chart2D
return chart.addAxis("x", {
max: parseInt(this.graphMaxX.get("value")),
min: parseInt(this.graphMinX.get("value")),
majorLabels: true,
minorLabels: true,
//includeZero: true,
minorTicks: false,
microTicks: false,
//majorTickStep: 1,
htmlLabels: true,
labelFunc: function(value){
return value;
},
maxLabelSize: 30,
fixUpper: "major", fixLower: "major",
majorTick: { length: 3 }
}).
addAxis("y", {
max: parseInt(this.graphMaxY.get("value")),
min: parseInt(this.graphMinY.get("value")),
labelFunc: function(value){
return value;
},
maxLabelSize: 50,
vertical: true,
// htmlLabels: false,
microTicks: false,
minorTicks: true,
majorTick: { stroke: "black", length: 3 }
});
},
selectAll: function(){
// summary
// select all checkboxes inside the function table
for(var i = 0; i < this.rowCount; i++){
this.array[i][this.checkboxIndex].set("checked", true);
}
},
deselectAll: function(){
// summary
// deselect all checkboxes inside the function table
for(var i = 0; i < this.rowCount; i++){
this.array[i][this.checkboxIndex].set("checked", false);
}
},
drawOne: function(i){
// i is a the index to this.array
// override me
},
onDraw: function(){
console.log("Draw was pressed");
// override me
},
erase: function(i){
// summary:
// erase the chart inside this.array with the index i
// params:
// i is the integer index to this.array that represents the current row number in the table
var nameNum = 0;
var name = "Series "+this.array[i][this.funcNumberIndex]+"_"+nameNum;
while(name in this.array[i][this.chartIndex].runs){
this.array[i][this.chartIndex].removeSeries(name);
nameNum++;
name = "Series "+this.array[i][this.funcNumberIndex]+"_"+nameNum;
}
this.array[i][this.chartIndex].render();
this.setStatus(i, "Hidden");
},
onErase: function(){
// summary:
// the erase button's onClick method
// it see's if the checkbox is checked and then erases it if it is.
for(var i = 0; i < this.rowCount; i++){
if(this.array[i][this.checkboxIndex].get("checked")){
this.erase(i);
}
}
},
onDelete: function(){
// summary:
// the delete button's onClick method
// delete all of the selected rows
for(var i = 0; i < this.rowCount; i++){
if(this.array[i][this.checkboxIndex].get("checked")){
this.erase(i);
for(var k = 0; k < this.functionRef; k++){
if(this.array[i][k] && this.array[i][k]["destroy"]){
this.array[i][k].destroy();
}
}
this.graphTable.deleteRow(i);
this.array.splice(i, 1);
this.rowCount--;
i--;
}
}
},
// attributes to name the indices of this.array
checkboxIndex: 0,
functionMode: 1,
expressionIndex: 2,
colorIndex: 3,
dropDownIndex: 4,
tooltipIndex: 5,
colorBoxFieldsetIndex: 6,
statusIndex: 7,
chartIndex: 8,
funcNumberIndex: 9,
evaluatedExpression: 10,
functionRef: 11,
createFunction: function(){
// summary:
// create a new row in the table with all of the dojo objects.
var tr = this.graphTable.insertRow(-1);
this.array[tr.rowIndex] = [];
var td = tr.insertCell(-1);
var d = dojo.create('div');
td.appendChild(d);
var checkBox = new dijit.form.CheckBox({}, d);
this.array[tr.rowIndex][this.checkboxIndex] = checkBox;
dojo.addClass(d, "dojoxCalcCheckBox");
td = tr.insertCell(-1);
var funcMode = this.funcMode.get("value");
d = dojo.doc.createTextNode(funcMode);
td.appendChild(d);
this.array[tr.rowIndex][this.functionMode] = funcMode;
//dojo.addClass(d, "dojoxCalcFunctionMode");// cannot use text nodes
td = tr.insertCell(-1);
d = dojo.create('div');
td.appendChild(d);
var expression = new dijit.form.TextBox({}, d);
this.array[tr.rowIndex][this.expressionIndex] = expression;
dojo.addClass(d, "dojoxCalcExpressionBox");
var b = dojo.create('div');
var color = new dijit.ColorPalette({changedColor:this.changedColor}, b);
dojo.addClass(b, "dojoxCalcColorPalette");
this.array[tr.rowIndex][this.colorIndex] = color;
var c = dojo.create('div');
var dialog = new dijit.TooltipDialog({content:color}, c);
this.array[tr.rowIndex][this.tooltipIndex] = dialog;
dojo.addClass(c, "dojoxCalcContainerOfColor");
td = tr.insertCell(-1);
d = dojo.create('div');
td.appendChild(d);
var colorBoxFieldset = dojo.create('fieldset');
dojo.style(colorBoxFieldset, {backgroundColor: "black", width: "1em", height: "1em", display: "inline"});
this.array[tr.rowIndex][this.colorBoxFieldsetIndex] = colorBoxFieldset;
var drop = new dijit.form.DropDownButton({label:"Color ", dropDown:dialog}, d);
drop.containerNode.appendChild(colorBoxFieldset);
this.array[tr.rowIndex][this.dropDownIndex] = drop;
dojo.addClass(d, "dojoxCalcDropDownForColor");
/*td = tr.insertCell(-1);
d = dojo.create('div');
td.appendChild(d);
var status = new dijit.form.TextBox({style:"width:50px", value:"Hidden", readOnly:true}, d);//hidden, drawn, or error
this.array[tr.rowIndex][this.statusIndex] = status;
dojo.addClass(d, "dojoxCalcStatusBox");*/
td = tr.insertCell(-1);
d = dojo.create('fieldset');
d.innerHTML = "Hidden";
this.array[tr.rowIndex][this.statusIndex] = d;
dojo.addClass(d, "dojoxCalcStatusBox");
td.appendChild(d);
d = dojo.create('div');
dojo.style(d, {position:"absolute", left:"0px", top:"0px"})
this.chartsParent.appendChild(d);
this.array[tr.rowIndex][this.chartNodeIndex] = d;
dojo.addClass(d, "dojoxCalcChart");
var chart = new dojox.charting.Chart2D(d).setTheme(dojox.charting.themes.Tufte).
addPlot("default", { type: "Lines", shadow: {dx: 1, dy: 1, width: 2, color: [0, 0, 0, 0.3]} });
this.addXYAxes(chart);
this.array[tr.rowIndex][this.chartIndex] = chart;
color.set("chart", chart);
color.set("colorBox", colorBoxFieldset);
color.set("onChange", dojo.hitch(color, 'changedColor'));
this.array[tr.rowIndex][this.funcNumberIndex] = this.funcNumber++;
this.rowCount++;
},
setStatus: function(i, status){
// summary:
// set the status of the row i to be status
// params:
// i is an integer index of this.array as well as a row index
// status is a String, it is either Error, Hidden, or Drawn
this.array[i][this.statusIndex].innerHTML = status; //this.array[i][this.statusIndex].set("value", status);
},
changedColor: function(){
// summary:
// make the color of the chart the new color
// the context is changed to the colorPalette, and a reference to chart was added to it a an attribute
var chart = this.get("chart");
var colorBoxFieldset = this.get("colorBox");
for(var i = 0; i < chart.series.length; i++){
if(chart.series[i]["stroke"]){
if(chart.series[i].stroke["color"]){
chart.series[i]["stroke"].color = this.get("value");
chart.dirty = true;
}
}
}
chart.render();
dojo.style(colorBoxFieldset, {backgroundColor:this.get("value")});
},
makeDirty: function(){
// summary:
// if something in the window options is changed, this is called
this.dirty = true;
},
checkDirty1: function(){
// summary:
// to stay in sync with onChange, checkDirty is called with a timeout
setTimeout(dojo.hitch(this, 'checkDirty'), 0);
},
checkDirty: function(){
// summary:
// adjust all charts in this.array according to any changes in window options
if(this.dirty){
// change the axes of all charts if it is dirty
for(var i = 0; i < this.rowCount; i++){
this.array[i][this.chartIndex].removeAxis("x");
this.array[i][this.chartIndex].removeAxis("y");
this.addXYAxes(this.array[i][this.chartIndex]);
}
this.onDraw();
}
this.dirty = false;
},
postCreate: function(){
// summary
// add Event handlers, some additional attributes, etc
this.inherited(arguments);// this is super class postCreate
this.createFunc.set("onClick", dojo.hitch(this, 'createFunction'));
this.selectAllButton.set("onClick", dojo.hitch(this, 'selectAll'));
this.deselectAllButton.set("onClick", dojo.hitch(this, 'deselectAll'));
this.drawButton.set("onClick", dojo.hitch(this, 'onDraw'));
this.eraseButton.set("onClick", dojo.hitch(this, 'onErase'));
this.deleteButton.set("onClick", dojo.hitch(this, 'onDelete'));
this.dirty = false;
this.graphWidth.set("onChange", dojo.hitch(this, 'makeDirty'));
this.graphHeight.set("onChange", dojo.hitch(this, 'makeDirty'));
this.graphMaxX.set("onChange", dojo.hitch(this, 'makeDirty'));
this.graphMinX.set("onChange", dojo.hitch(this, 'makeDirty'));
this.graphMaxY.set("onChange", dojo.hitch(this, 'makeDirty'));
this.graphMinY.set("onChange", dojo.hitch(this, 'makeDirty'));
this.windowOptionsInside.set("onClose", dojo.hitch(this, 'checkDirty1'));
this.funcNumber = 0;
this.rowCount = 0;
this.array = [];
},
startup: function(){
// summary
// make sure the parent has a close button if it needs to be able to close
this.inherited(arguments);// this is super class startup
// close is only valid if the parent is a widget with a close function
var parent = dijit.getEnclosingWidget(this.domNode.parentNode);
if(parent && typeof parent.close == "function"){
this.closeButton.set("onClick", dojo.hitch(parent, 'close'));
}else{
dojo.style(this.closeButton.domNode, "display", "none"); // hide the button
}
// add one row at the start
this.createFunction();
// make the graph bounds appear initially
this.array[0][this.checkboxIndex].set("checked", true);
this.onDraw();
this.erase(0);
this.array[0][this.expressionIndex].value = "";
}
});
(function(){
// summary
// provide static functions for Grapher
var
epsilon = 1e-15 / 9,
bigNumber = 1e200,
log2 = Math.log(2),
defaultParams = {graphNumber:0, fOfX:true, color:{stroke:"black"}};
dojox.calc.Grapher.draw = function(/*Chart2D*/ chart, /*Function*/ functionToGraph, params){
// summary
// graph a chart with the given function.
// params
// chart is a dojox.charting.Chart2D object, functionToGraph is a function with one numeric parameter (x or y typically)
// and params is an Object the can contain the number of the graph in the chart it is (an integer), a boolean saying if the functionToGraph is a function of x (otherwise y)
// and the color, which is an object with a stroke with a color's name eg: color:{stroke:"black"}
params = dojo.mixin({}, defaultParams, params);
chart.fullGeometry();
var x;
var y;
var points;
if(params.fOfX==true){
x = 'x';
y = 'y';
points = dojox.calc.Grapher.generatePoints(functionToGraph, x, y, chart.axes.x.scaler.bounds.span, chart.axes.x.scaler.bounds.lower, chart.axes.x.scaler.bounds.upper, chart.axes.y.scaler.bounds.lower, chart.axes.y.scaler.bounds.upper);
}else{
x = 'y';
y = 'x';
points = dojox.calc.Grapher.generatePoints(functionToGraph, x, y, chart.axes.y.scaler.bounds.span, chart.axes.y.scaler.bounds.lower, chart.axes.y.scaler.bounds.upper, chart.axes.x.scaler.bounds.lower, chart.axes.x.scaler.bounds.upper);
}
var i = 0;
if(points.length > 0){
for(; i < points.length; i++){
if(points[i].length>0){
chart.addSeries("Series "+params.graphNumber+"_"+i, points[i], params.color);
}
}
}
// you only need to remove the excess i's
var name = "Series "+params.graphNumber+"_"+i;
while(name in chart.runs){
chart.removeSeries(name);
i++;
name = "Series "+params.graphNumber+"_"+i;
}
chart.render();
return points;
}
dojox.calc.Grapher.generatePoints = function(/*Function*/ funcToGraph, /*String*/ x, /*String*/ y, /*Number*/ width, /*Number*/ minX, /*Number*/ maxX, /*Number*/ minY, /*Number*/ maxY){
// summary:
// create the points with information about the graph.
// params:
// funcToGraph is a function with one numeric parameter (x or y typically)
// x and y are Strings which always have the values of "x" or "y". If y="x" and x="y" then it is creating points for the function as though it was a function of y
// Number minX, Number maxX, Number minY, Number maxY are all bounds of the chart. If x="y" then maxY should be the maximum bound of x rather than y
// Number width is the pixel width of the chart
// output:
// an array of arrays of points
var pow2 = (1 << Math.ceil(Math.log(width) / log2));
var
dx = (maxX - minX) / pow2, // divide by 2^n instead of width to avoid loss of precision
points = [], // [{x:value, y:value2},...]
series = 0,
slopeTrend,
slopeTrendTemp;
points[series] = [];
var i = minX, k, p;
for(var counter = 0; counter <= pow2; i += dx, counter++){
p = {};
p[x] = i;
p[y] = funcToGraph({_name:x, _value:i, _graphing:true});//funcToGraph(i);
if(p[x] == null || p[y] == null){
return {};// someone pushed cancel in the val code
}
if(isNaN(p[y]) || isNaN(p[x])){
continue;
}
points[series].push(p);
if(points[series].length == 3){
slopeTrend = getSlopePairTrend(slope(points[series][points[series].length - 3], points[series][points[series].length-2]), slope(points[series][points[series].length-2], points[series][points[series].length-1]));
continue;
}
if(points[series].length < 4){
continue;
}
slopeTrendTemp = getSlopePairTrend(slope(points[series][points[series].length - 3], points[series][points[series].length-2]), slope(points[series][points[series].length-2], points[series][points[series].length-1]));
if(slopeTrend.inc != slopeTrendTemp.inc || slopeTrend.pos != slopeTrendTemp.pos){
// var a = asymptoteSearch(funcToGraph, points[series][points[series].length - 2], points[series][points[series].length-1]);
var a = asymptoteSearch(funcToGraph, points[series][points[series].length - 3], points[series][points[series].length-1]);
p = points[series].pop();
// this pop was added after changing the var a line above
points[series].pop();
for(var j = 0; j < a[0].length; j++){
points[series].push(a[0][j]);
}
for(k = 1; k < a.length; k++){
points[++series] = a.pop();
}
points[series].push(p);
slopeTrend = slopeTrendTemp;
}
}
while(points.length > 1){
for(k = 0; k < points[1].length; k++){
if(points[0][points[0].length - 1][x] == points[1][k][x]){
continue;
}
points[0].push(points[1][k]);
}
points.splice(1, 1);
}
points = points[0];
// make new series when it goes off the graph
var s = 0;
var points2 = [ [] ];
for(k = 0; k < points.length; k++){
var x1, y1, b, slope1;
if(isNaN(points[k][y]) || isNaN(points[k][x])){
while(isNaN(points[k][y]) || isNaN(points[k][x])){
points.splice(k, 1);
}
points2[++s] = [];
k--;
}else if(points[k][y] > maxY || points[k][y] < minY){
// make the last point's y equal maxY and find a matching x
if(k > 0 && points[k - 1].y!=minY && points[k - 1].y!=maxY){
slope1 = slope(points[k - 1], points[k]);
if(slope1 > bigNumber){
slope1 = bigNumber;
}else if(slope1 < -bigNumber){
slope1 = -bigNumber;
}
if(points[k][y] > maxY){
y1 = maxY;
}else{
y1 = minY;
}
b = points[k][y] - slope1 * points[k][x];
x1 = (y1 - b) / slope1;
p = {};
p[x] = x1;
p[y] = funcToGraph(x1);//y1;//
if(p[y]!=y1){
p = findMinOrMaxY(funcToGraph, points[k - 1], points[k], y1);
}
points2[s].push(p);
// setup the next series
points2[++s] = []
}
var startK = k;
while(k < points.length && (points[k][y] > maxY || points[k][y] < minY)){
k++;
}
if(k >= points.length){
if(points2[s].length == 0){
points2.splice(s, 1);
}
break;
}
// connect the end graph
if(k > 0 && points[k].y != minY && points[k].y != maxY){
slope1 = slope(points[k - 1], points[k]);
if(slope1 > bigNumber){
slope1 = bigNumber;
}else if(slope1 < -bigNumber){
slope1 = -bigNumber;
}
if(points[k - 1][y] > maxY){
y1 = maxY;
}else{
y1 = minY;
}
b = points[k][y] - slope1 * points[k][x];
x1 = (y1 - b) / slope1;
p = {};
p[x] = x1;
p[y] = funcToGraph(x1);//y1;//
if(p[y]!=y1){
p = findMinOrMaxY(funcToGraph, points[k - 1], points[k], y1);
}
points2[s].push(p);
points2[s].push(points[k]);
}
}else{
points2[s].push(points[k]);
}
}
return points2;
function findMinOrMaxY(funcToGraph, left, right, minMaxY){
while(left<=right){
var midX = (left[x]+right[x])/2;
var mid = {};
mid[x] = midX;
mid[y] = funcToGraph(mid[x]);
if(minMaxY==mid[y]||mid[x]==right[x]||mid[x]==left[x]){
return mid;
}
var moveTowardsLarger = true;
if(minMaxY<mid[y]){
moveTowardsLarger = false;
}
if(mid[y]<right[y]){
if(moveTowardsLarger){
left = mid;
}else{
right = mid;
}
}else if(mid[y]<left[y]){
if(!moveTowardsLarger){
left = mid;
}else{
right = mid;
}
}
}
return NaN;
}
function asymptoteSearch(funcToGraph, pointStart, pointStop){
var
pointTemp = [ [], [] ],
left = pointStart,
right = pointStop,
midpoint;
while(left[x] <= right[x]){
var midX = (left[x] + right[x]) / 2;
midpoint = {};
midpoint[x] = midX;
midpoint[y] = funcToGraph(midX);
var rx = nextNumber(midpoint[x]);
var rightPoint = {};
rightPoint[x] = rx;
rightPoint[y] = funcToGraph(rx);
if(Math.abs(rightPoint[y]) >= Math.abs(midpoint[y])){
pointTemp[0].push(midpoint);
left = rightPoint;
}else{
pointTemp[1].unshift(midpoint);
if(right[x] == midpoint[x]){
break;
}
right = midpoint;
}
}
return pointTemp;
}
function getSlopePairTrend(slope1, slope2){
var
isInc = false,
isPos = false;
if (slope1 < slope2){
isInc = true;
}
if (slope2 > 0){
isPos = true;
}
return { inc: isInc, pos: isPos };
}
function nextNumber(v){
var delta;
if(v > -1 && v < 1){
if(v < 0){ // special handling as we approach 0
if(v >= -epsilon){
delta = -v; // always stop at 0
}else{
delta = v / Math.ceil(v / epsilon); // divide distance to 0 into equal tiny chunks
}
}else{
delta = epsilon;
}
}else{
delta = Math.abs(v) * epsilon;
}
return v + delta;
}
function slope(p1, p2){
return (p2[y] - p1[y]) / (p2[x] - p1[x]);
}
};
})();
}