2023-11-19 12:14:45 +00:00
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<!DOCTYPE html>
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<html>
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<head>
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<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjs/12.1.0/math.js"></script>
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<script src="https://cdn.plot.ly/plotly-latest.min.js"></script>
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<style>
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input[type=text]{
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--O_ROLOC_O_COLOR_O:#F2F2F2;
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--O_SUIDAR_RULB_O_BLUR_RADIUS_O:0PX;
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--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O:1.0PX;
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BOX-SHADOW:INSET 0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O),0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O)!IMPORTANT;
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BORDER-WIDTH:0;BORDER-RADIUS:65536PX;OVERFLOW:VISIBLE
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}
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input[type=text]:focus{
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border-color: #CECECE;BORDER-WIDTH:0PX;border-style: solid;outline: 1PX SOLID #E7E7E7;
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}
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input[type=range]::-moz-range-track {
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HEIGHT:0PX;
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--O_ROLOC_O_COLOR_O:#F2F2F2;
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--O_SUIDAR_RULB_O_BLUR_RADIUS_O:0PX;
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--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O:1.0PX;
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BOX-SHADOW:INSET 0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O),0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O)!IMPORTANT;
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BORDER-WIDTH:0;BORDER-RADIUS:65536PX;OVERFLOW:HIDDEN
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}
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input[type=range]::-moz-range-thumb {
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HEIGHT:16PX;WIDTH:16PX;
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--O_ROLOC_O_COLOR_O:#F2F2F2;
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--O_SUIDAR_RULB_O_BLUR_RADIUS_O:0PX;
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--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O:1.0PX;
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BOX-SHADOW:INSET 0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O),0 0 VAR(--O_SUIDAR_RULB_O_BLUR_RADIUS_O) VAR(--O_SUIDAR_DAERPS_O_SPREAD_RADIUS_O) VAR(--O_ROLOC_O_COLOR_O)!IMPORTANT;
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BORDER-WIDTH:0;BORDER-RADIUS:65536PX;OVERFLOW:HIDDEN
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}
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</style>
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</head>
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<body style="background:#FFFFFF;font-size:16px;MARGIN:0;COLOR:#CECECE">
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<div align="center">
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𓊗<br><span id="nVal"></span><br><input type="range" id="n" min="1" max="16" value="8" style="width:100%"><br>
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✤<br><span id="toVal"></span><br><input type="range" id="to" min="-12.566370614359172953850573533118" max="12.566370614359172953850573533118" value="6.283185307179586476925286766559" step="0.785398163397448" style="width:100%;color:#CECECE"><br>
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ꗳ<br><span id="fromVal"></span><br><input type="range" id="from" min="-12.566370614359172953850573533118" max="12.566370614359172953850573533118" value="-6.283185307179586476925286766559" step="0.785398163397448" style="width:100%;color:#CECECE"><br>
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<input type="text" id="formula" value="(1-cos(x*(4)/2))/2 ; acos(cos(x*(4)/2))/pi" style="width:100%; text-align:CENTER;COLOR:#CECECE;FONT-SIZE:16PX"><br>
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<div id="k-graph"></div>
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<div id="function-graph"></div>
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<script>
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function clamp(x) {return math.max(math.min(x,1),0)}
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// JS equivalent for the map function
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function arrayMax(arr) {
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return Math.max(...arr.map(e => Math.max(...e)));
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}
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function arrayMin(arr) {
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return Math.min(...arr.map(e => Math.min(...e)));
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}
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function plot() {
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var formulas = document.getElementById('formula').value.split(";");
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var fromPIO2 = Number(document.getElementById('from').value);
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var toPIO2 = Number(document.getElementById('to').value);
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var N = Number(document.getElementById('n').value);
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var num_points = 0 + 2 ** N;
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document.getElementById('fromVal').innerText = +fromPIO2;
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document.getElementById('toVal').innerText = +toPIO2;
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document.getElementById('nVal').innerText = +N;
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var from = fromPIO2;
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var to = toPIO2;
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var step = (to - from) / num_points;
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var x_vals = math.range(from, to, step, true).toArray();
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var k_trace = [];
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var function_trace = [];
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var all_x = [];
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var all_y = [];
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formulas.map((formula, i) => {
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var scope = {
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clamp: function(x) { return math.max(math.min(x, 1), 0); }
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};
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var kappa_vals = x_vals.map(x => math.evaluate(formula.trim(), { x: x, ...scope}));
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var theta_vals = math.map(math.cumsum(kappa_vals), x => x * step);
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var x_coords = math.map(math.cumsum(math.map(theta_vals, math.cos)), x => x * step);
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var y_coords = math.map(math.cumsum(math.map(theta_vals, math.sin)), x => x * step);
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if (x_coords[0] != 0 || y_coords[0] != 0) {
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x_coords.unshift(0);
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y_coords.unshift(0);
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}
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k_trace.push({
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x: x_coords,
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y: y_coords,
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mode: 'lines',
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// line: { color: '#CECECE' }
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line: {width: 1},
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hovertemplate: 'X:%{x:.256f}' + '<br>Y:%{y:.256f}',
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name: ''
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});
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all_x.push(x_coords);
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all_y.push(y_coords);
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// Now creating the trace for y=f(x)
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var y_vals = x_vals.map(x => math.evaluate(formula.trim(), { x: x, ...scope}));
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function_trace.push({
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x: x_vals,
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y: y_vals,
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mode: 'lines',
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// optional features
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// line: { color: '#CECECE' }
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line: {width: 1},
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hovertemplate: 'X:%{x:.256f}' + '<br>Y:%{y:.256f}',
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name: ''
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});
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all_x.push(x_vals);
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all_y.push(y_vals);
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});
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var layout = {
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margin: { l: 0, r: 0, b: 0, t: 0, pad: 0 },
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autosize: true,
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height: 312,
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xaxis: {scaleanchor:'y',scaleratio: 1, showgrid:true,zeroline:true,zerolinecolor:'#CECECE',zerolinewidth:2,tick0:0,dtick:1,showticklabels:true ,automargin:true,gridcolor:'#CECECE',tickfont:{color:'#CECECE',size:16}},
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2023-11-19 12:32:34 +00:00
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yaxis: {range: [arrayMin(all_y), arrayMax(all_y)],showgrid:true,zeroline:true,zerolinecolor:'#CECECE',zerolinewidth:2,tick0:0,dtick:1,showticklabels:false ,automargin:true,gridcolor:'#CECECE',tickfont:{color:'#CECECE',size:16}},
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2023-11-19 12:14:45 +00:00
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hovermode: 'closest',
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showlegend: false,
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hoverlabel: { bgcolor: "#FFFFFF", font_color: '#9C9C9C', bordercolor: "#CECECE", font_size: 16 }
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}
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Plotly.newPlot('k-graph', k_trace, layout);
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Plotly.newPlot('function-graph', function_trace, layout);
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}
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plot();
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document.getElementById('formula').addEventListener('input', plot);
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document.getElementById('from').addEventListener('input', plot);
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document.getElementById('to').addEventListener('input', plot);
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document.getElementById('n').addEventListener('input', plot);
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</script>
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</div>
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</body>
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</html>
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