147 lines
		
	
	
		
			No EOL
		
	
	
		
			6.7 KiB
		
	
	
	
		
			HTML
		
	
	
	
	
	
			
		
		
	
	
			147 lines
		
	
	
		
			No EOL
		
	
	
		
			6.7 KiB
		
	
	
	
		
			HTML
		
	
	
	
	
	
<!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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				yaxis: {range: [arrayMin(all_y), arrayMax(all_y)],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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                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> |