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