Function Plotting with Random Coefficients 2

<script type='text/javascript' src='https://www.gstatic.com/charts/loader.js'></script> was added in the page head.

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%%html

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<div id='googlechart2' style='width:600px; height:600px;'/><script>

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function get_int(xmin,xmax) {

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    return Math.floor(Math.random()*(xmax-xmin+1))+xmin;};

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function get_color(k) {

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    return '#00'+get_int(10*k,255).toString(16)+

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           get_int(10*k,255).toString(16);};

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function fx(a,b,c,q,n,t,k) {

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    var x1=Math.cos(Math.PI*t/n+k*Math.PI/q)+

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           Math.cos(a*Math.PI*t/n+k*Math.PI/q);

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    var x2=Math.cos(b*Math.PI*t/n+k*Math.PI/q)+

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           Math.cos(c*Math.PI*t/n+k*Math.PI/q);

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    return x1+x2};

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function fy(a,b,c,q,n,t,k) {

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    var y1=Math.sin(Math.PI*t/n+k*Math.PI/q)-

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        Math.sin(a*Math.PI*t/n+k*Math.PI/q);

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    var y2=Math.sin(b*Math.PI*t/n+k*Math.PI/q)-

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        Math.sin(c*Math.PI*t/n+k*Math.PI/q);

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    return y1+y2};

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function ar(a,b,c,q,n,k) {

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    return Array(2*n+1).fill(k).map((k,t)=>

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           [fx(a,b,c,q,n,t,k),fy(a,b,c,q,n,t,k)]);};

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google.charts.load('current',{'packages':['corechart']}); 

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google.charts.setOnLoadCallback(drawChart);

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function drawChart() {

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    var a=get_int(5,9),b=get_int(10,14),c=get_int(15,19),

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        q=get_int(3,8),n=get_int(10,350); 

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    var xy=ar(a,b,c,q,n,1); 

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    xy.unshift(['x',[a,b,c,q,n].toString()]); 

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    for (var k=2; k<2*q+1; k++) {xy=xy.concat(ar(a,b,c,q,n,k));};

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    var data=google.visualization.arrayToDataTable(xy); 

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    var options={chartArea:{left:0,top:0,right:0,bottom:20},

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                 legend:{position:'bottom'},

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                 curveType:'none',lineWidth:.75,

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                 colors:[get_color(a)],

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                 hAxis:{ticks:[],baselineColor:'#fff'},

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                 vAxis:{ticks:[],baselineColor:'#fff'}};

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    var chart=new google.visualization

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        .LineChart(document.getElementById('googlechart2')); 

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    chart.draw(data,options);};

Language: Sage Gap GP HTML Macaulay2 Maxima Octave Python R Singular

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