Markov race

Developer
PotatoDie
Size
2,561 Kb
Views
24,288
  1. Markov race Previews
  2. Markov race HTML Codes
  3. Markov race JS Codes

How do I make an markov race?

Modelling with Markov chains. Read more in post http://codepen.io/potatoDie/post/modelling-randomness-with-markov-chains. What is a markov race? How do you make a markov race? This script and codes were developed by PotatoDie on 15 September 2022, Thursday.

Markov race Previews
IQ Test

Markov race - Script Codes HTML Codes

<!DOCTYPE html>
<html >
<head> <meta charset="UTF-8"> <title>Markov race</title>
</head>
<body> <script src="js/index.js"></script>
</body>
</html>

Markov race - Script Codes JS Codes

var ns = "http://www.w3.org/2000/svg";
var markov;
var pSquares = [];
window.onload = function () { // Create svg element var svg = document.createElementNS( ns, "svg"); svg.setAttribute("viewBox", "-6 -6 12 12"); // And add it to the document document.body.appendChild(svg); // Add gfx to the svg // svg.appendChild ( createRect(-1, -1, 2, 2, "#eee") ); // Create 4 empty polar squares var r = 1; var rWidth = 1; var rSpacing = 0.1; for ( var i = 0; i < 4; i++ ) { pSquares[i] = PolarSquare (r, r + rWidth, 0, Math.PI/(i+1)); svg.appendChild(pSquares[i].sprite); r += rWidth + rSpacing; } // Start a Markov process, adding to the length of a ring/square associated // with the current state markov = MarkovProcess(); markov.init(); window.setInterval ( loop, 1000/60);
}
function loop () { var state = markov.step(); pSquares[state].grow();
}
PolarSquare = function ( r0, r1, phi0, phi1 ) { var r0 = r0; var r1 = r1; var phi0 = phi0; var phi1 = phi1; var unit = Math.PI/50; var path = document.createElementNS(ns, "path"); (function init () { path.setAttributeNS(null, "fill", "none"); path.setAttributeNS(null, "stroke", "#000"); path.setAttributeNS(null, "stroke-width", .02); draw(); })(); function toCartesian ( r, phi ) { // Note screen vs math coordinates (that's the reason for the minus sign for phi) // If you choose not to use math coordinates, change the sweep-flag too return [r * Math.cos(phi), r * Math.sin(-phi) ]; } function draw () { function pathData() { var d = "M " + toCartesian (r0, phi0). join(" "); d += [" A", r0, r0, 0, Math.abs(phi1-phi0) > Math.PI ? 1 : 0, 0, toCartesian (r0, phi1)]. join(" "); d += " L " + toCartesian (r1, phi1). join(" "); d += [" A", r1, r1, 0, Math.abs(phi1-phi0) > Math.PI ? 1 : 0, 1, toCartesian (r1, phi0)]. join(" "); d += " Z"; return d; } path.setAttributeNS(null, "d", pathData() ); } return { sprite: path, update: function ( phi ) { phi1 = phi; draw(); }, grow: function () { // Grow the length of the shape with 1 unit // Check phi stays within limits phi1 += unit; phi1 = phi1 % (2 * Math.PI); draw(); } }
}
// Define states and transition matrix
var MarkovProcess = function () { var matrix = [ [0.6, 0.35, 0.02, 0.03], [0.35, 0.6, 0.04, 0.01], [0.01, 0.02, 0.8, 0.17], [0.01, 0.02, 0.17, 0.8] ] var state = 0; var init = function(){ }; var step = function() { // Calculate a new state var distribution = matrix[state]; // get random var r var r = Math.random(); // Check in which area r falls for ( var i = 0; i < distribution.length; i++ ) { if ( r <= distribution[i] ) { // Found it state = i; return state; } else { r -= distribution[i]; } } }; return { init: init, step: step };
};
Markov race - Script Codes
Markov race - Script Codes
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Developer PotatoDie
Username potatoDie
Uploaded September 15, 2022
Rating 3.5
Size 2,561 Kb
Views 24,288
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