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Complex-Functions.html
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Complex-Functions.html
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<html>
<head>
<title>Complex Functions</title>
<meta http-equiv="content-type" content="text/html; charset=utf-8" />
<style type="text/css">
a {
cursor: pointer;
}
</style>
<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjs/5.5.0/math.min.js" type="text/javascript"></script>
<script type="text/javascript" async src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/latest.js?config=TeX-MML-AM_CHTML"></script>
<script type="application/ld+json">
{
"@type": "Simulation",
"name": "Complex Functions",
"author": "Prajwal DSouza",
"description": "A visualization of complex function based on an animation from 3Blue1Brown video"
}
</script>
<script type="text/javascript">
function displayText(detailinfo, additionalfunc) {
if (typeof additionalfunc == 'undefined') {
if (detailinfo == 'default') {
detailinfo = 'Made using Math.js, MathJax to visualize complex functions. Input point is in orange. If the complex function is a summation, then each term is a complex number which can be represented as a line. Sum of these lines added vectorially gives us the resulting output point in black/white.'
}
document.getElementById('infotext2').innerHTML = detailinfo
}
}
</script>
<meta charset="UTF-8">
<meta name="description" content="A visualization of complex function based on an animation from 3Blue1Brown video">
<meta name="keywords" content="Complex Numbers, 3Blue1Brown, Complex Functions, Laurent Series, Simulations">
<meta name="author" content="Prajwal DSouza">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
</head>
<body style='margin:0px; display: block;'>
<div id="containAll" style='margin:0px;width:100%; height: 100%; font-size: 0; display: inline-block;'>
<div id="controlTitleSection" style='margin:0px;width:30%; height: 70%;overflow: hidden;position: relative;z-index: 4; display: inline-block;'>
<div id="titleH" style='margin:0px;width:100%; height: 25%;overflow: hidden;position: relative; z-index: 4; display: inline-block;'>
<table width="100%" height='100%' style="border: 0px solid black; border-collapse: collapse; table-layout: fixed; font-weight: bold; font-family: Calibri; font-size: 1vw;">
<tr>
<td colspan="1" id='maintitle' style="text-align: center; vertical-align: middle; border-right: 0px solid black; font-size: 4vmin; font-weight: bold; color: hsla(190, 100%, 50%, 1);">
Complex Functions <br/> <font style="font-size: 2.3vmin; font-weight: lighter; color: hsla(190, 0%, 60%, 1);">
An attempt to plot them </font><br/><font style="font-size: 2.3vmin; font-weight: lighter; color: hsla(190, 100%, 0%, 1);">Based on certain amazing animations <br/> in a <a href="https://www.youtube.com/watch?v=sD0NjbwqlYw" target="_blank" style="text-decoration: none; color: hsla(210,100%,50%,1); "> video at 3Blue1Brown</a></font>
</td>
</tr>
</table>
</div>
<div id="functioncontrols" style='margin:0px;width:100%; height: 75%;overflow: hidden;position: relative; z-index: 4; display: inline-block;'>
<div id="functionchoice" style='margin:0px;width:100%; height: 20%;overflow: hidden;position: relative; z-index: 4; display: inline-block;'>
<table width="100%" height='100%' style="border: 0px solid black; border-collapse: separate; table-layout: fixed; font-weight: lighter; font-family: Calibri; font-size: 1vw; border-spacing: 0px;">
<tr>
<td colspan="1" rowspan="1"></td>
<td colspan="9" rowspan="1" id='functiontitle' style="text-align: left; vertical-align: middle; border: 0px solid black; font-size: 2.5vmin; font-weight: lighter;">
Function Input
</td>
</tr>
<tr>
<td colspan="1" rowspan="1"></td>
<td colspan="5" rowspan="1" id='functionsimple' style="text-align: center; vertical-align: middle; border: 1px solid hsla(190, 0%,0%, 0.1); font-size: 2.3vmin; background-color: hsla(100,0%,50%, 0.1); cursor: pointer; border-bottom: 1px solid hsla(190, 0%, 0%, 1)" onmouseover="displayText('Type a function that only depends on z. If n is used, it will be set to 1.')" onmouseout="displayText('default')">
Simple
</td>
<td colspan="7" rowspan="1" id='functionsummation' style="text-align: center; vertical-align: middle; border: 1px solid hsla(190, 0%,0%, 0.1); font-size: 2.3vmin; color: hsla(190, 100%, 50%, 1); cursor: pointer; border-bottom: 1px solid hsla(190, 0%, 0%, 0)" onmouseover="displayText('Type in a summation term involving z and index n. Do not use other letters. Math.js will give errors.')" onmouseout="displayText('default')">
Summation
</td>
<td colspan="4" rowspan="1" id='functionzeta' style="text-align: center; vertical-align: middle; border: 1px solid hsla(190, 0%,0%, 0.1); font-size: 2.3vmin; background-color: hsla(100,0%,50%, 0.1); cursor: pointer; border-bottom: 1px solid hsla(190, 0%, 0%, 1)" onmouseover="displayText('Selection for Riemann Zeta Function Anaylsis.')" onmouseout="displayText('default')">
Zeta
</td>
<td colspan="1" rowspan="1"></td>
</tr>
<tr></tr>
</table>
</div>
<div id="sumtermtableH" style='margin:0px;width:100%; height: 40%;overflow: hidden;position: relative; z-index: 4; display: inline-block;'>
<div id="displayforZetaH" style='margin:0px;width:100%; height: 100%;overflow: hidden;position: absolute; z-index: 4; display: inline-block; visibility: hidden;'>
<table width="100%" height='100%' style="border: 0px solid black; border-collapse: separate; table-layout: fixed; font-weight: lighter; font-family: Calibri; font-size: 1vw; border-spacing: 0px;">
<tr>
<td colspan="1" rowspan="1"></td>
<td colspan="9" rowspan="1" id='infoonzeta' style="text-align: center; vertical-align: middle; border: 0px solid black; font-size: 2vmin; font-weight: lighter;">
Values of Riemann Zeta function were estimated using the Euler - Maclaren Summation mentioned in the <a href="https://math.dartmouth.edu/archive/m56s13/public_html/Nguyen_proj.pdf" target="_blank" style="text-decoration: none; color: hsla(210,100%,50%,1); ">work</a> of Hanh Nguyen. Values under this method seem to be accurate enough.
</td>
<td colspan="1" rowspan="1"></td>
</tr>
<tr>
<td colspan="1" rowspan="1"></td>
<td colspan="9" rowspan="1" id='plotcriticalline' style="text-align: center; vertical-align: middle; border: 0px solid black; font-size: 2.1vmin; font-weight: lighter; border: 1px solid black; cursor: pointer;" onmouseover="displayText('Zeta is plotted along a line with constant real part 0.5 and varying imaginary part. The plot starts with zero as the imaginary part. The resolution of the curve can be adjusted for accuracy in the edit mesh settings.')" onmouseout="displayText('default')">
Plot Zeta along Critical Line
</td>
<td colspan="1" rowspan="1"></td>
</tr>
<tr></tr>
</table>
</div>
<table id="summationTable" width="100%" height='100%' style="border: 0px solid black; border-collapse: collapse; table-layout: fixed; font-weight: lighter; font-family: Calibri; font-size: 1vw;">
<tr></tr>
<tr>
<td colspan="1" rowspan="1"></td>
<td colspan="9" rowspan="1" id='summationtitle' style="text-align: left; vertical-align: middle; border: 0px solid black; font-size: 2.3vmin; font-weight: lighter;">
Summation Term
</td>
</tr>
<tr>
<td colspan="1" rowspan="2"></td>
<td colspan="8" rowspan="2" id='inputfunction' style="text-align: center; vertical-align: middle; border-right: 0px solid black; font-size: 3vmin;" onmouseover="displayText('Type the function/summation term as text.')" onmouseout="displayText('default')">
<input id='inputfunctiontext' value='1/(n^z)' style="border: 1px solid hsla(190, 0%, 50%,0.2); height: 100%; width: 100%; text-align: center; font-family: Calibri; font-size: 2.3vmin; font-weight: lighter; color: black;"></input>
</td>
<td colspan="1" rowspan="2"></td>
</tr>
<tr>
</tr>
<tr>
</tr>
<tr>
</tr>
<tr id="holdindexrange" onmouseover="displayText('Input summation ranges for index n. ')" onmouseout="displayText('default')">
<td colspan="1" rowspan="1"></td>
<td colspan="2" id="nlowertext" style="text-align: center;">
from (n = )
</td>
<td colspan="2" id="nlowervalue">
<input id='nlowerinput' type="number" min = '0' step ='1' value='1' style="border: 1px solid hsla(190, 0%, 50%,0.2); height: 100%; width: 100%; text-align: center; font-size: 1.8vmin; color: black;"></input>
</td>
<td colspan="2" id="nuppertext" style="text-align: center;">
to (m = )
</td>
<td colspan="2" id="nuppervalue">
<input id='nupperinput' type="number" min = '1' step ='1' value='10' style="border: 1px solid hsla(190, 0%, 50%,0.2); height: 100%; width: 100%; text-align: center; font-size: 1.8vmin; color: black;"></input>
</td>
<td colspan="1" rowspan="1"></td>
</tr>
<tr>
</tr>
</table>
</div>
<div id="eqtableH" style='margin:0px;width:100%; height: 40%;overflow: hidden;position: relative; z-index: 4; display: inline-block;'>
<table id="equationdisplaytable" style="border: 0px solid black; border-collapse: collapse; table-layout: fixed; font-weight: lighter; font-family: Calibri; font-size: 1vw; height: 70%; width: 100%;">
<tr onmouseover="displayText('Equation processed and displayed using MathJax (https://www.mathjax.org/)')" onmouseout="displayText('default')">
<td colspan="1" rowspan="1"></td>
<td colspan="8" id='equationdisplay' style="text-align: center; vertical-align: middle; border-right: 0px solid black; font-size: 2.7vmin; border: 1px solid hsla(210, 100%, 50%,0.2); overflow: auto;">
$$f(z) = \sum_{n=1}^{\infty} 2^{-n} = 1$$
</td>
<td colspan="1" rowspan="1"></td>
</tr>
</table>
</div>
</div>
</div>
<div id="complexplaneTableH" style='margin:0px;width:70%; height: 70%;overflow: hidden;position: relative;z-index: 4; display: inline-block;'>
<table id="complexplaneinputTable" width="97%" height='97%' style="border: 0px solid hsla(190, 0%, 50%,0.2); border-collapse: separate; table-layout: fixed; font-weight: lighter; font-family: Calibri; font-size: 1vw; position: absolute;">
<tr>
<td colspan="6" id='infotext' style="text-align: right; vertical-align: middle; border: 0px solid hsla(190, 0%, 50%,0.2); font-size: 2vmin; cursor: pointer; color: hsla(190, 100%, 0%, 1); font-weight: normal; height: 20%; " onmouseover="displayText('Input and output values of the function. Input is set by moving the cursor over the complex plane.')" onmouseout="displayText('default')">
</td>
</tr>
<tr>
</tr>
</table>
<table id="complexplaneTable" width="100%" height='97%' style="border: 0px solid hsla(190, 0%, 50%,0.2); border-collapse: separate; table-layout: fixed; font-weight: lighter; font-family: Calibri; font-size: 1vw;">
<tr>
<td>
<table width="100%" height='100%' style="border: 1px solid hsla(190, 0%, 50%, 1); border-collapse: separate; table-layout: fixed; font-weight: lighter; font-family: Calibri; font-size: 1vw;">
<tr>
<td>
<div id="complexplane" style='margin:0px;width:100%; height: 100%;overflow: hidden;position: relative;z-index: 4; display: inline-block;'>
<div id="containcanvas" style='margin:0px;width:100%; height: 100%;overflow: hidden;background: hsla(300,100%,100%,0); cursor: auto; position: absolute; z-index: 0; opacity: 1;'>
<canvas id='plotcanvas' height="100%" width="100%" style='position: absolute; z-index: 0; opacity: 1; width: 100%; height: 100%;'>
</canvas>
</div>
</div>
</td>
</tr>
</table>
</td>
</tr>
</table>
</div>
<div id="presetFunctionsText" style='margin:0px;width:30%; height: 5%;overflow: hidden;position: relative;z-index: 4; display: inline-block; visibility: hidden;pointer-events: none;'>
<table width="100%" height='100%' style="border: 0px solid black; border-collapse: separate; table-layout: fixed; font-weight: lighter; font-family: Calibri; font-size: 1vw; border-spacing: 0px;">
<tr>
<td colspan="1"></td>
<td colspan="8" id='presentextdisplay' style="text-align: center; vertical-align: middle; border: 1px solid hsla(190, 0%,0%, 0.1); font-size: 2.3vmin; background-color: hsla(100,0%,0%, 0); cursor: pointer;" onmouseover="displayText('Selection for Riemann Zeta Function Anaylsis.')" onmouseout="displayText('default')">
Riemann Zeta
</td>
<td colspan="1"></td>
</tr>
</table>
</div>
<div id="player" style='margin:0px;width:70%; height: 5%;overflow: hidden;position: relative;z-index: 4; display: inline-block;'>
<div id="computeholder" style='margin:0px;width:55%; height: 100%;overflow: hidden;position: absolute;z-index: 5;' onmouseover="displayText('The color grid on the graph transforms from the input values to the output values of the function. The animation involved is first computed.')" onmouseout="displayText('default')">
<table width="100%" height='95%' style="border: 0px solid black; border-collapse: collapse; table-layout: fixed; font-weight: lighter; font-family: Calibri; font-size: 1vw;">
<tr>
<td colspan="10" id='computebutton' style="text-align: center; vertical-align: middle; border: 1px solid hsla(190, 0%, 50%,0.2); font-size: 2.3vmin; cursor: pointer;">
Compute Transform Animation
</td>
</tr>
</table>
</div>
<div id="playerholder" style='margin:0px;width:100%; height: 100%;overflow: hidden;position: relative;z-index: 3;'>
<table width="100%" height='95%' style="border: 0px solid black; border-collapse: collapse; table-layout: fixed; font-weight: lighter; font-family: Calibri; font-size: 1vw;">
<tr>
<td></td>
<td colspan="4" id='pauseplay' style="text-align: center; vertical-align: middle; border: 1px solid hsla(190, 0%, 50%,0.2); font-size: 2.3vmin; cursor: pointer; color: hsla(190, 100%, 50%, 1); font-weight: normal;" onmouseover="displayText('Plays the animation showing the transformation from input to the output of the mesh')" onmouseout="displayText('default')">
Play
</td>
<td></td>
<td colspan="16" id='playline' style="text-align: center; vertical-align: middle; border-right: 0px solid black; font-size: 3vmin; position: relative; cursor: pointer;">
<div id="playlineH" style='margin:0px;width:100%; height: 100%;overflow: hidden;position: relative;z-index: 4; display: inline-block;'>
</div>
</div>
</td>
<td colspan="5" id='finaltransformH' style="text-align: center; vertical-align: middle; border: 1px solid hsla(190, 0%, 50%,0.2); font-size: 2vmin; cursor: pointer;" onmouseover="displayText('Computing the full animation can take long. This tries to compute the final output state of the grid directly')" onmouseout="displayText('default')">
Final Result
</td>
<td></td>
<td colspan="4" id='editmeshH' style="text-align: center; vertical-align: middle; border: 1px solid hsla(190, 0%, 50%,0.2); font-size: 2vmin; cursor: pointer;" onmouseover="displayText('Edit the mesh/grid on the complex plane.')" onmouseout="displayText('default')">
Edit Mesh
</td>
<td></td>
<td colspan="4" id='darkmodeH' style="text-align: center; vertical-align: middle; border: 1px solid hsla(190, 0%, 50%,0.2); font-size: 2vmin; cursor: pointer;" onmouseover="displayText('Toggle between light and dark mode for 3Blue1Brown Style.')" onmouseout="displayText('default')">
DarkMode
</td>
<td></td>
</tr>
</table>
</div>
</div>
<div id="infodisplayH" style='margin:0px;width:30%; height: 20%;overflow: hidden;position: relative;z-index: 4; display: inline-block;'>
<table width="100%" height='100%' style="border: 0px solid black; border-collapse: collapse; table-layout: fixed; font-weight: lighter; font-family: Calibri; font-size: 1vw;">
<tr>
<td></td>
<td colspan="8" id='infotext2' style="text-align: center; vertical-align: middle; border: 0px solid hsla(190, 0%, 50%,0.2); font-size: 2vmin; cursor: pointer; color: hsla(190, 100%, 0%, 1); font-weight: normal;">
Made using Math.js, MathJax to visualize complex functions. Input point is in orange. If the complex function is a summation, then each term is a complex number which can be represented as a line. Sum of these lines added vectorially gives us the resulting output point in black.
</td>
<td></td>
</tr>
</table>
</div>
<div id="ntermdisplayHold" style='margin:0px;width:70%; height: 20%;overflow: hidden;position: relative;z-index: 4; display: inline-block;'>
<div id="meshsettingdisplayHold" style='margin:0px;width:100%; height: 100%;overflow: hidden;position: absolute;z-index: 5; display: inline-block; opacity: 0; visibility: hidden; background-color: white;'>
<table width="100%" height='100%' style="border: 0px solid black; border-collapse: collapse; table-layout: fixed; font-weight: lighter; font-family: Calibri; font-size: 1vw;">
<tr>
<td colspan="1" rowspan="1"></td>
<td colspan="4" rowspan="1" id='meshsetdisplaytitle' style="text-align: left; vertical-align: middle; border: 0px solid black; font-size: 2.5vmin; font-weight: lighter;">
Mesh Settings
</td>
<td colspan="15" rowspan="1" id='removemeshdisplaytitle' style="text-align: left; vertical-align: middle; border: 0px solid black; font-size: 2.2vmin; font-weight: lighter; color: hsla(190, 100%, 50%, 1); cursor: pointer;">
Remove Mesh
</td>
</tr>
<tr>
<td colspan="1" rowspan="1"></td>
<td colspan="5" id="meshrestext" style="text-align: center; font-size: 2vmin;">
Mesh Resolution
</td>
<td colspan="1" rowspan="1"></td>
<td colspan="5" id="meshcolstext" style="text-align: center; font-size: 2vmin;">
Mesh Columns
</td>
<td colspan="1" rowspan="1"></td>
<td colspan="5" id="meshrowstext" style="text-align: center; font-size: 2vmin;">
Mesh Rows
</td>
</tr>
<tr>
<td colspan="1" rowspan="1"></td>
<td colspan="5" id="meshresvalue">
<input id='meshresinput' type="number" min = '10e-14' step ='10e-14' value='0.02' style="border: 1px solid hsla(190, 0%, 50%,0.2); height: 100%; width: 100%; text-align: center; font-size: 1.8vmin; color: black;"></input>
</td>
<td colspan="1" rowspan="1"></td>
<td colspan="5" id="meshcolsvalue">
<input id='meshcolsinput' type="number" min = '1' step ='1' value='20' style="border: 1px solid hsla(190, 0%, 50%,0.2); height: 100%; width: 100%; text-align: center; font-size: 1.8vmin; color: black;"></input>
</td>
<td colspan="1" rowspan="1"></td>
<td colspan="5" id="meshrowsvalue">
<input id='meshrowsinput' type="number" min = '0' step ='1' value='20' style="border: 1px solid hsla(190, 0%, 50%,0.2); height: 100%; width: 100%; text-align: center; font-size: 1.8vmin; color: black;"></input>
</td>
</tr>
</table>
</div>
<table id="spectrumholder" width="100%" height='100%' style="border: 0px solid black; border-collapse: collapse; table-layout: fixed; font-weight: lighter; font-family: Calibri; font-size: 1vw;" onmouseover="displayText('If the function is a summation, then the magnitude of each term is plotted. The color indicates the argument of the complex term with red for 180, blue of 0 and violet for -180.')" onmouseout="displayText('default')">
<tr>
<td colspan="1" rowspan="1"></td>
<td colspan="19" rowspan="1" id='ntermdisplaytitle' style="text-align: left; vertical-align: middle; border: 0px solid black; font-size: 2.5vmin; font-weight: lighter;">
Summation Term Magnitudes
</td>
</tr>
<tr>
<td colspan="20" id='ntermdisplay' style="text-align: center; vertical-align: middle; border: 0px solid hsla(190, 0%, 50%,0.2); font-size: 2vmin; cursor: pointer; color: hsla(190, 100%, 0%, 1); font-weight: normal; position: relative;">
</td>
</tr>
</table>
</div>
</div>
<script type="text/javascript">
darkmode = false
if (darkmode) {
document.body.style.background = 'black'
}
function graphToSvgY(value, graphymin, graphymax) {
if (graphymin == graphymax) {
graphymin = graphymin - 1
graphymax = graphymax + 1
console.log('Conversion error, maximum value is equal to minimum value. Max value was raised by 1 and Min value was reduced by 1. Max value : ' + graphymax + ' and Min value : ' + graphymin)
}
if (graphymin > graphymax) {
temp = graphymin
graphymin = graphymax
graphymax = temp
console.log('Conversion error, maximum value less than minimum value. Values were swapped. Max value : ' + graphymax + ' and Min value : ' + graphymin)
}
y = ((-80)/(graphymax - graphymin))*(value - graphymin) + 90
return y
}
function graphToScaledY(value, graphymin, graphymax, aspectratio) {
if(aspectratio > 1) {
if (graphymin == graphymax) {
graphymin = graphymin - 1
graphymax = graphymax + 1
console.log('Conversion error, maximum value is equal to minimum value. Max value was raised by 1 and Min value was reduced by 1. Max value : ' + graphymax + ' and Min value : ' + graphymin)
}
if (graphymin > graphymax) {
temp = graphymin
graphymin = graphymax
graphymax = temp
console.log('Conversion error, maximum value less than minimum value. Values were swapped. Max value : ' + graphymax + ' and Min value : ' + graphymin)
}
y = ((-80)/(graphymax - graphymin))*(value - graphymin) + 90
}
else {
if (graphymin == graphymax) {
graphymin = graphymin - 1
graphymax = graphymax + 1
console.log('Conversion error, maximum value is equal to minimum value. Max value was raised by 1 and Min value was reduced by 1. Max value : ' + graphymax + ' and Min value : ' + graphymin)
}
if (graphymin > graphymax) {
temp = graphymin
graphymin = graphymax
graphymax = temp
console.log('Conversion error, maximum value less than minimum value. Values were swapped. Max value : ' + graphymax + ' and Min value : ' + graphymin)
}
aspectratio = 1/aspectratio
vl = (100*(1 - aspectratio)/2) + (10*aspectratio)
vh = (100*(aspectratio + 1)/2) - (10*aspectratio)
y = ((vl - vh)/(graphymax - graphymin))*(value - graphymin) + vh
// console.log(x)
// console.log(v1, v2)
// y = (((v2 - v1)/(100))*(y)) + v1
}
return y
}
function svgToGraphY(percentvalue, graphymin, graphymax, aspectratio) {
if(aspectratio > 1) {
if (graphymin == graphymax) {
graphymin = graphymin - 1
graphymax = graphymax + 1
console.log('Conversion error, maximum value is equal to minimum value. Max value was raised by 1 and Min value was reduced by 1. Max value : ' + graphymax + ' and Min value : ' + graphymin)
}
if (graphymin > graphymax) {
temp = graphymin
graphymin = graphymax
graphymax = temp
console.log('Conversion error, maximum value less than minimum value. Values were swapped. Max value : ' + graphymax + ' and Min value : ' + graphymin)
}
y = ((percentvalue - 90)*(graphymax - graphymin)/((-1)*80)) + graphymin
}
else {
if (graphymin == graphymax) {
graphymin = graphymin - 1
graphymax = graphymax + 1
console.log('Conversion error, maximum value is equal to minimum value. Max value was raised by 1 and Min value was reduced by 1. Max value : ' + graphymax + ' and Min value : ' + graphymin)
}
if (graphymin > graphymax) {
temp = graphymin
graphymin = graphymax
graphymax = temp
console.log('Conversion error, maximum value less than minimum value. Values were swapped. Max value : ' + graphymax + ' and Min value : ' + graphymin)
}
aspectratio = 1/aspectratio
vl = (100*(1 - aspectratio)/2) + (10*aspectratio)
vh = (100*(aspectratio + 1)/2) - (10*aspectratio)
// y = ((vl - vh)/(graphymax - graphymin))*(value - graphymin) + vh
y = (((percentvalue - vh)*(graphymax - graphymin))/(vl - vh)) + graphymin
// console.log(x)
// console.log(v1, v2)
// y = (((v2 - v1)/(100))*(y)) + v1
}
return y
}
function graphToSvgX(value, graphxmin, graphxmax) {
if (graphxmin == graphxmax) {
graphxmin = graphxmin - 1
graphxmax = graphxmax + 1
console.log('Conversion error, maximum value is equal to minimum value. Max value was raised by 1 and Min value was reduced by 1. Max value : ' + graphxmax + ' and Min value : ' + graphxmin)
}
if (graphxmin > graphxmax) {
temp = graphxmin
graphxmin = graphxmax
graphxmax = temp
console.log('Conversion error, maximum value less than minimum value. Values were swapped. Max value : ' + graphxmax + ' and Min value : ' + graphxmin)
}
x = ((80)/(graphxmax - graphxmin))*(value - graphxmin) + 10
return x
}
function graphToScaledX(value, graphxmin, graphxmax, aspectratio) {
if (aspectratio <= 1) {
if (graphxmin == graphxmax) {
graphxmin = graphxmin - 1
graphxmax = graphxmax + 1
console.log('Conversion error, maximum value is equal to minimum value. Max value was raised by 1 and Min value was reduced by 1. Max value : ' + graphxmax + ' and Min value : ' + graphxmin)
}
if (graphxmin > graphxmax) {
temp = graphxmin
graphxmin = graphxmax
graphxmax = temp
console.log('Conversion error, maximum value less than minimum value. Values were swapped. Max value : ' + graphxmax + ' and Min value : ' + graphxmin)
}
x = ((80)/(graphxmax - graphxmin))*(value - graphxmin) + 10
}
else {
if (graphxmin == graphxmax) {
graphxmin = graphxmin - 1
graphxmax = graphxmax + 1
console.log('Conversion error, maximum value is equal to minimum value. Max value was raised by 1 and Min value was reduced by 1. Max value : ' + graphxmax + ' and Min value : ' + graphxmin)
}
if (graphxmin > graphxmax) {
temp = graphxmin
graphxmin = graphxmax
graphxmax = temp
console.log('Conversion error, maximum value less than minimum value. Values were swapped. Max value : ' + graphxmax + ' and Min value : ' + graphxmin)
}
vl = (100*(1 - aspectratio)/2) + (10*aspectratio)
vh = (100*(aspectratio + 1)/2) - (10*aspectratio)
x = ((vh - vl)/(graphxmax - graphxmin))*(value - graphxmin) + vl
// console.log(x)
// console.log(v1, v2)
// y - y1 = (y2 - y1)/(x2 - x1) * (x - x1)
// x = (((v2 - v1)/(90))*(x - 10)) + v1
// console.log(x)
// console.log('_')
}
return x
}
function svgToGraphX(percentvalue, graphxmin, graphxmax, aspectratio) {
if (aspectratio <= 1) {
if (graphxmin == graphxmax) {
graphxmin = graphxmin - 1
graphxmax = graphxmax + 1
console.log('Conversion error, maximum value is equal to minimum value. Max value was raised by 1 and Min value was reduced by 1. Max value : ' + graphxmax + ' and Min value : ' + graphxmin)
}
if (graphxmin > graphxmax) {
temp = graphxmin
graphxmin = graphxmax
graphxmax = temp
console.log('Conversion error, maximum value less than minimum value. Values were swapped. Max value : ' + graphxmax + ' and Min value : ' + graphxmin)
}
x = ((percentvalue - 10)*(graphxmax - graphxmin)/80) + graphxmin
}
else {
if (graphxmin == graphxmax) {
graphxmin = graphxmin - 1
graphxmax = graphxmax + 1
console.log('Conversion error, maximum value is equal to minimum value. Max value was raised by 1 and Min value was reduced by 1. Max value : ' + graphxmax + ' and Min value : ' + graphxmin)
}
if (graphxmin > graphxmax) {
temp = graphxmin
graphxmin = graphxmax
graphxmax = temp
console.log('Conversion error, maximum value less than minimum value. Values were swapped. Max value : ' + graphxmax + ' and Min value : ' + graphxmin)
}
vl = (100*(1 - aspectratio)/2) + (10*aspectratio)
vh = (100*(aspectratio + 1)/2) - (10*aspectratio)
// x = ((vh - vl)/(graphxmax - graphxmin))*(value - graphxmin) + vl
x = ((percentvalue - vl)*(graphxmax - graphxmin)/(vh - vl)) + graphxmin
// y - y1 = (y2 - y1)/(x2 - x1) * (x - x1)
// x = (((v2 - v1)/(90))*(x - 10)) + v1
}
return x
}
function isInt(n){
return Number(n) === n && n % 1 === 0;
}
function isFloat(n){
return Number(n) === n && n % 1 !== 0;
}
function gridtickvalues(valmin, valmax, ticksexpected) {
expstring = ((valmax - valmin)/ticksexpected).toExponential()
majorgridorder = parseFloat(Math.pow(10 , expstring.slice(expstring.indexOf('e') + 1)))
if (expstring.indexOf('.') != -1) {
majorgriddivision = parseFloat(expstring.slice(0, expstring.indexOf('.'))*majorgridorder)
}
else {
majorgriddivision = parseFloat(expstring.slice(0, expstring.indexOf('e'))*majorgridorder)
}
integerchoices = [1,2,5,10]
for(choice = 0; choice < integerchoices.length - 1; choice++) {
if (majorgriddivision < integerchoices[choice + 1]*majorgridorder) {
majorgriddivisionchoice = majorgridorder*integerchoices[choice]
break
}
}
if(valmin > 0) {
majorgridstart = Math.ceil(valmin/majorgriddivisionchoice)*majorgriddivisionchoice;
majorgridstart = majorgridstart - majorgriddivisionchoice
}
else if(valmin < 0) {
majorgridstart = Math.floor(valmin/majorgriddivisionchoice)*majorgriddivisionchoice;
}
else{
majorgridstart = majorgriddivisionchoice;
}
// majorgridstart = majorgridstart - majorgriddivisionchoice
// console.log(majorgridstart, (valmax + majorgriddivisionchoice), majorgriddivisionchoice)
majortickvalues = []
for(majoraxispoint = majorgridstart; majoraxispoint < (valmax + majorgriddivisionchoice); majoraxispoint = majoraxispoint + majorgriddivisionchoice) {
majortickvalues.push(majoraxispoint)
}
return majortickvalues
}
function updateGraphZoom(graphname, newMinMax) {
gdata = graphData[graphname]
svgElement = gdata.svgElement
if (newMinMax.xmin != 0) {
gdata.xmin = newMinMax.xmin || gdata.xmin
}
else {
gdata.xmin = 0
}
if (newMinMax.xmax != 0) {
gdata.xmax = newMinMax.xmax || gdata.xmax
}
else {
gdata.xmax = 0
}
if (newMinMax.ymin != 0) {
gdata.ymin = newMinMax.ymin || gdata.ymin
}
else {
gdata.ymin = 0
}
if (newMinMax.ymax != 0) {
gdata.ymax = newMinMax.ymax || gdata.ymax
}
else {
gdata.ymax = 0
}
aratio = gdata.aspectratio
if (gdata.unitAspectRatio == 'yes') {
if (gdata.fixAxis == 'yaxis') {
if (gdata.fixAxisStretchCentrally == 'yes') {
centre = (gdata.xmax + gdata.xmin)/2
gdata.xmin = centre - ((gdata.ymax - gdata.ymin)*aratio/2)
gdata.xmax = centre + ((gdata.ymax - gdata.ymin)*aratio/2)
}
else {
gdata.xmax = gdata.xmin + (gdata.ymax - gdata.ymin)*aratio
}
}
else {
if (gdata.fixAxisStretchCentrally == 'yes') {
centre = (gdata.ymax + gdata.ymin)/2
gdata.ymin = centre - ((gdata.xmax - gdata.xmin)*aratio/2)
gdata.ymax = centre + ((gdata.xmax - gdata.xmin)*aratio/2)
}
else {
gdata.ymax = gdata.ymin + (gdata.xmax - gdata.xmin)*aratio
}
}
}
if (gdata.yaxisvisibility == 'yes') {
var lineElement = gdata.yaxisElement
lineElement.setAttribute('x1', graphToScaledX(gdata.axislocationX, gdata.xmin, gdata.xmax, aratio) + '%');
lineElement.setAttribute('y1', graphToScaledY(gdata.ymax, gdata.ymin, gdata.ymax, aratio) + '%');
lineElement.setAttribute('x2', graphToScaledX(gdata.axislocationX, gdata.xmin, gdata.xmax, aratio) + '%')
lineElement.setAttribute('y2', graphToScaledY(gdata.ymin, gdata.ymin, gdata.ymax, aratio) + '%');
if (darkmode == false) {
lineElement.style.stroke = gdata.yaxiscolor
}
else {
lineElement.style.stroke = 'hsla(0, 0%, 100%, 1)'
}
gdata.yaxisElement = lineElement
}
if (gdata.xaxisvisibility == 'yes') {
var lineElement = gdata.xaxisElement
lineElement.setAttribute('x1', graphToScaledX(gdata.xmin, gdata.xmin, gdata.xmax, aratio) + '%');
lineElement.setAttribute('y1', graphToScaledY(gdata.axislocationY, gdata.ymin, gdata.ymax, aratio) + '%');
lineElement.setAttribute('x2', graphToScaledX(gdata.xmax, gdata.xmin, gdata.xmax, aratio) + '%')
lineElement.setAttribute('y2', graphToScaledY(gdata.axislocationY, gdata.ymin, gdata.ymax, aratio) + '%');
if (darkmode == false) {
lineElement.style.stroke = gdata.xaxiscolor
}
else {
lineElement.style.stroke = 'hsla(0, 0%, 100%, 1)'
}
gdata.xaxisElement = lineElement
}
deleteSegments(gdata.xmajorgridElements)
if (gdata.xmajorgridlinesvisibility == 'yes') {
xmajortickvalues = gridtickvalues(gdata.xmin, gdata.xmax, ticks)
gdata.xmajorgridElements = []
for (m = 0; m < xmajortickvalues.length; m++) {
ticklocation = xmajortickvalues[m]
var lineElement = document.createElementNS("http://www.w3.org/2000/svg", 'line');
ylength = (gdata.ymax - gdata.ymin)
if (gdata.xmajorgridlinesextension == 'yes') {
lineElement.setAttribute('x1', graphToScaledX(ticklocation, gdata.xmin, gdata.xmax, aratio) + '%');
lineElement.setAttribute('y1', graphToScaledY(gdata.ymin - (ylength)/2, gdata.ymin, gdata.ymax, aratio) + '%');
lineElement.setAttribute('vector-effect','non-scaling-stroke');
lineElement.setAttribute('x2', graphToScaledX(ticklocation, gdata.xmin, gdata.xmax, aratio) + '%')
lineElement.setAttribute('y2', graphToScaledY(gdata.ymax + (ylength)/2, gdata.ymin, gdata.ymax, aratio) + '%');
}
else {
lineElement.setAttribute('x1', graphToScaledX(ticklocation, gdata.xmin, gdata.xmax, aratio) + '%');
lineElement.setAttribute('y1', graphToScaledY(gdata.ymin, gdata.ymin, gdata.ymax, aratio) + '%');
lineElement.setAttribute('vector-effect','non-scaling-stroke');
lineElement.setAttribute('x2', graphToScaledX(ticklocation, gdata.xmin, gdata.xmax, aratio) + '%')
lineElement.setAttribute('y2', graphToScaledY(gdata.ymax, gdata.ymin, gdata.ymax, aratio) + '%');
lineElement.setAttribute('id', gdata.name + '-xmajorgridline-' + m)
}
if (darkmode == false) {
lineElement.style.stroke = gdata.xmajorgridcolor
}
else {
lineElement.style.stroke = 'hsla(0, 0%, 100%, 1)'
}
lineElement.style.strokeWidth = gdata.xmajorgridthickness + '%';
gdata.xmajorgridElements.push(lineElement)
svgElement.appendChild(lineElement);
}
gdata.xmajorgridticks = xmajortickvalues
}
deleteSegments(gdata.ymajorgridElements)
if (gdata.ymajorgridlinesvisibility == 'yes') {
ymajortickvalues = gridtickvalues(gdata.ymin, gdata.ymax, ticks)
gdata.ymajorgridElements = []
for (m = 0; m < ymajortickvalues.length; m++) {
ticklocation = ymajortickvalues[m]
var lineElement = document.createElementNS("http://www.w3.org/2000/svg", 'line');
xlength = (gdata.xmax - gdata.xmin)
if (gdata.ymajorgridlinesextension == 'yes') {
lineElement.setAttribute('x1', graphToScaledX((gdata.xmin) - xlength/2, gdata.xmin, gdata.xmax, aratio) + '%');
lineElement.setAttribute('y1', graphToScaledY(ticklocation, gdata.ymin, gdata.ymax, aratio) + '%');
lineElement.setAttribute('vector-effect','non-scaling-stroke');
lineElement.setAttribute('x2', graphToScaledX(gdata.xmax + (xlength/2), gdata.xmin, gdata.xmax, aratio) + '%')
lineElement.setAttribute('y2', graphToScaledY(ticklocation, gdata.ymin, gdata.ymax, aratio) + '%');
}
else {
lineElement.setAttribute('x1', graphToScaledX(gdata.xmin, gdata.xmin, gdata.xmax, aratio) + '%');
lineElement.setAttribute('y1', graphToScaledY(ticklocation, gdata.ymin, gdata.ymax, aratio) + '%');
lineElement.setAttribute('vector-effect','non-scaling-stroke');
lineElement.setAttribute('x2', graphToScaledX(gdata.xmax, gdata.xmin, gdata.xmax, aratio) + '%')
lineElement.setAttribute('y2', graphToScaledY(ticklocation, gdata.ymin, gdata.ymax, aratio) + '%');
}
lineElement.setAttribute('id', gdata.name + '-ymajorgridline-' + m)
if (darkmode == false) {
lineElement.style.stroke = gdata.ymajorgridcolor
}
else {
lineElement.style.stroke = 'hsla(0, 0%, 100%, 1)'
}
lineElement.style.strokeWidth = gdata.ymajorgridthickness + '%';
gdata.ymajorgridElements.push(lineElement)
svgElement.appendChild(lineElement);
}
gdata.ymajorgridticks = ymajortickvalues
}
deleteSegments(gdata.ymajorlabelsElements)
if (gdata.ymajorgridlabelvisibility == 'yes') {
gdata.ymajorlabelsElements = []
ymajortickvalues = gridtickvalues(gdata.ymin, gdata.ymax, ticks)
scale = gdata.ymax - gdata.ymin
expstring = scale.toExponential().toString()
order = (expstring.slice(expstring.indexOf('e') + 1)*(-1))
labelylocationX = gdata.axislocationX
if (graphToScaledX(gdata.axislocationX, gdata.xmin, gdata.xmax, aratio) < 0) {
labelylocationX = gdata.xmin
}
if (graphToScaledX(gdata.axislocationX, gdata.xmin, gdata.xmax, aratio) > 100) {
labelylocationX = gdata.xmax
}
for (m = gdata.ylabelexclusionsstart; m < ymajortickvalues.length - gdata.ylabelexclusionsend; m++) {
ticklocation = ymajortickvalues[m]
var textElement = document.createElementNS("http://www.w3.org/2000/svg", 'text');
if(isInt(ticklocation)) {
if (gdata.isComplexPlane == 'yes') {
textElement.innerHTML = ticklocation + 'i'
}
else {
textElement.innerHTML = ticklocation
}
}
else {
if (Math.abs(ticklocation) < 0.01 && order > 2) {
ticklocation = ticklocation.toExponential(order)
}
else {
ticklocation = ticklocation.toFixed(order + 1)
}
if (gdata.isComplexPlane == 'yes') {
textElement.innerHTML = ticklocation + 'i'
}
else {
textElement.innerHTML = ticklocation
}
if(ticklocation == 0) {
textElement.innerHTML = 0
}
}
textElement.setAttribute('x', graphToScaledX(labelylocationX, gdata.xmin, gdata.xmax, aratio) + 0.5 + gdata.ymajorgridlabelshift + '%');
textElement.setAttribute('y',graphToScaledY(ticklocation, gdata.ymin, gdata.ymax, aratio) + 0.5 + '%');
textElement.setAttribute('id',name + '-yticklabel-' + m)
textElement.style.fontSize = gdata.fontSize
textElement.style.fontFamily = 'Calibri'
// textElement.setAttribute('text-anchor', 'middle')
textElement.style.fill = gdata.ymajorgridlabelcolor
if (darkmode == false) {
textElement.style.fill = gdata.ymajorgridlabelcolor
}
else {
textElement.style.fill = 'hsla(0, 0%, 100%, 1)'
}
svgElement.appendChild(textElement);
gdata.ymajorlabelsElements.push(textElement)
}
}
deleteSegments(gdata.xmajorlabelsElements)
if (gdata.xmajorgridlabelvisibility == 'yes') {
gdata.xmajorlabelsElements = []
xmajortickvalues = gridtickvalues(gdata.xmin, gdata.xmax, ticks)
scale = gdata.xmax - gdata.xmin
expstring = scale.toExponential().toString()
order = (expstring.slice(expstring.indexOf('e') + 1)*(-1))
labelxlocationY = gdata.axislocationY
if (graphToScaledY(gdata.axislocationY, gdata.ymin, gdata.ymax, aratio) < 0) {
labelxlocationY = gdata.ymax
}
if (graphToScaledY(gdata.axislocationY, gdata.ymin, gdata.ymax, aratio) > 100) {
labelxlocationY = gdata.ymin
}
for (m = gdata.xlabelexclusionsstart; m < xmajortickvalues.length - gdata.xlabelexclusionsend; m++) {
ticklocation = xmajortickvalues[m]
var textElement = document.createElementNS("http://www.w3.org/2000/svg", 'text');
if(isInt(ticklocation)) {
textElement.innerHTML = ticklocation
}
else {
if (Math.abs(ticklocation) < 0.01 && order > 2) {
ticklocation = ticklocation.toExponential(order)
}
else {
ticklocation = ticklocation.toFixed(order + 1)
}
textElement.innerHTML = ticklocation
if(ticklocation == 0) {
textElement.innerHTML = 0
}
}
transformedXval = graphToScaledX(ticklocation, gdata.xmin, gdata.xmax, aratio) - 1
textElement.setAttribute('x', transformedXval + '%');
transformedYval = graphToScaledY(labelxlocationY, gdata.ymin, gdata.ymax, aratio) + 2 + gdata.xmajorgridlabelshift
textElement.setAttribute('y', transformedYval + '%');
textElement.setAttribute('id',name + '-xticklabel-' + m)
textElement.style.fontSize = gdata.fontSize
textElement.setAttribute('text-anchor', 'middle')
if (parseFloat(order) >= 2) {
textElement.setAttribute('transform', 'rotate(90, ' + transformedXval + ', ' + transformedYval + ')')
}
textElement.style.fontFamily = 'Calibri'
if (darkmode == false) {
textElement.style.fill = gdata.xmajorgridlabelcolor
}
else {
textElement.style.fill = 'hsla(0, 0%, 100%, 1)'
}
svgElement.appendChild(textElement);
gdata.xmajorlabelsElements.push(textElement)
}
}
if (gdata.xaxislabelvisibility == 'yes') {
var textElement = gdata.xaxislabelElement
textElement.setAttribute('x', graphToScaledX(gdata.xmax, gdata.xmin, gdata.xmax, aratio) + gdata.xaxislabelshift + '%');
textElement.setAttribute('y',graphToScaledY(gdata.axislocationY, gdata.ymin, gdata.ymax, aratio) + 1 + '%');
gdata.xaxislabelElement = textElement
}
if (gdata.yaxislabelvisibility == 'yes') {
var textElement = gdata.yaxislabelElement
textElement.setAttribute('x', graphToScaledX(gdata.axislocationX, gdata.xmin, gdata.xmax, aratio) + 0 + '%');
textElement.setAttribute('y',graphToScaledY(gdata.ymax, gdata.ymin, gdata.ymax, aratio) - gdata.yaxislabelshift + '%');
gdata.yaxislabelElement = textElement
}
for (var key in gdata.lineData) {
lineElement = gdata.lineData[key][0]
lineoptions = gdata.lineData[key][1]
lineElement.setAttribute('x1', graphToScaledX(lineoptions.x1, gdata.xmin, gdata.xmax, aratio) + '%');
lineElement.setAttribute('y1', graphToScaledY(lineoptions.y1, gdata.ymin, gdata.ymax, aratio) + '%');
lineElement.setAttribute('x2', graphToScaledX(lineoptions.x2, gdata.xmin, gdata.xmax, aratio) + '%')
lineElement.setAttribute('y2', graphToScaledY(lineoptions.y2, gdata.ymin, gdata.ymax, aratio) + '%');
}
for (var key in gdata.circleData) {
circleElement = gdata.circleData[key][0]
circleoptions = gdata.circleData[key][1]
rx = distanceBTWgraphToSvg([0,0],[circleoptions.radius, 0], gdata.xmin, gdata.xmax, gdata.ymin, gdata.ymax, aratio)
ry = distanceBTWgraphToSvg([0,0],[0,circleoptions.radius], gdata.xmin, gdata.xmax, gdata.ymin, gdata.ymax, aratio)
circleElement.setAttribute('cx', graphToScaledX(circleoptions.x, gdata.xmin, gdata.xmax, aratio) + '%');
circleElement.setAttribute('cy', graphToScaledY(circleoptions.y, gdata.ymin, gdata.ymax, aratio) + '%');
circleElement.setAttribute('rx', rx + '%')
circleElement.setAttribute('ry', ry + '%');
}
for (var key in gdata.pathData) {
pathElement = gdata.pathData[key][0]
pathoptions = gdata.pathData[key][1]
pathstring = 'M'
for (pth = 0; pth < pathoptions.points.length; pth++) {
if (pth == 0) {
pathstring = pathstring + graphToScaledX(pathoptions.points[pth][0], gdata.xmin, gdata.xmax, aratio) + ' ' + graphToScaledY(pathoptions.points[pth][1], gdata.ymin, gdata.ymax, aratio) + ' '
}
else {
pathstring = pathstring + 'L' + graphToScaledX(pathoptions.points[pth][0], gdata.xmin, gdata.xmax, aratio) + ' ' + graphToScaledY(pathoptions.points[pth][1], gdata.ymin, gdata.ymax, aratio) + ' '
}
}
pathElement.setAttribute('d', pathstring);
}
for (var key in gdata.ellipseData) {
ellipseElement = gdata.ellipseData[key][0]
ellipseoptions = gdata.ellipseData[key][1]
rx = distanceBTWgraphToSvg([0,0],[ellipseoptions.rx, 0], gdata.xmin, gdata.xmax, gdata.ymin, gdata.ymax, aratio)
ry = distanceBTWgraphToSvg([0,0],[0, ellipseoptions.ry], gdata.xmin, gdata.xmax, gdata.ymin, gdata.ymax, aratio)
ellipseElement.setAttribute('cx', graphToScaledX(ellipseoptions.x, gdata.xmin, gdata.xmax, aratio) + '%');
ellipseElement.setAttribute('cy', graphToScaledY(ellipseoptions.y, gdata.ymin, gdata.ymax, aratio) + '%');
ellipseElement.setAttribute('rx', rx + '%')
ellipseElement.setAttribute('ry', ry + '%');
}
for (var key in gdata.textData) {
textElement = gdata.textData[key][0]
textoptions = gdata.textData[key][1]
textElement.setAttribute('x', graphToScaledX(textoptions.x, gdata.xmin, gdata.xmax, aratio) + '%');
textElement.setAttribute('y', graphToScaledY(textoptions.y, gdata.ymin, gdata.ymax, aratio) + '%');
}
for (var key in gdata.rectData) {
rectElement = gdata.rectData[key][0]
rectoptions = gdata.rectData[key][1]
rx = distanceBTWgraphToSvg([0,0],[rectoptions.w, 0], gdata.xmin, gdata.xmax, gdata.ymin, gdata.ymax, aratio)
ry = distanceBTWgraphToSvg([0,0],[0, rectoptions.h], gdata.xmin, gdata.xmax, gdata.ymin, gdata.ymax, aratio)
rectElement.setAttribute('x', graphToScaledX(rectoptions.x, gdata.xmin, gdata.xmax, aratio) + '%');
rectElement.setAttribute('y', graphToScaledY(rectoptions.y, gdata.ymin, gdata.ymax, aratio) + '%');
rectElement.setAttribute('width', rx + '%')
rectElement.setAttribute('height', ry + '%');
}
for (var key in gdata.pointData) {
pointElement = gdata.pointData[key][0]
pointoptions = gdata.pointData[key][1]
pointElement.setAttribute('cx', graphToScaledX(pointoptions.x, gdata.xmin, gdata.xmax, aratio) + '%');
pointElement.setAttribute('cy', graphToScaledY(pointoptions.y, gdata.ymin, gdata.ymax, aratio) + '%');
}
}
function addGraph(parentdiv, name, gdata) {
gdata = gdata || {}
gdata.name = name || 'graph' + Math.random().toString()
if (gdata.axislocationX != 0) {
gdata.axislocationX = gdata.axislocationX || 0
}
else {
gdata.axislocationX = 0
}
if (gdata.axislocationY != 0) {