Pi approximation using Monte-Carlo method
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March 24, 2016 16:03
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Monte-Carlo
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| <!DOCTYPE html> | |
| <meta charset="utf-8"> | |
| <style> | |
| body { | |
| font: 10px sans-serif; | |
| } | |
| .axis path, | |
| .axis line, .square { | |
| fill: none; | |
| stroke: #000; | |
| shape-rendering: crispEdges; | |
| } | |
| </style> | |
| <body> | |
| <script src="https://d3js.org/d3.v3.js"></script> | |
| <script> | |
| var width = 960, | |
| height = 700; | |
| var numSamples = 0; | |
| var formatPi = d3.format('.10f'); | |
| var rayon = 500; | |
| var x = d3.scale.linear() | |
| .domain([0,1]) | |
| .range([0, rayon]); | |
| var y = d3.scale.linear() | |
| .domain([0,1]) | |
| .range([0, -rayon]); | |
| var xAxis = d3.svg.axis() | |
| .scale(x) | |
| .tickValues([0,0.5,1]) | |
| .orient("bottom"); | |
| var yAxis = d3.svg.axis() | |
| .scale(y) | |
| .tickValues([0.5,1]) | |
| .orient("left"); | |
| var svg = d3.select("body").append("svg") | |
| .attr("width", width) | |
| .attr("height", height) | |
| .append("g") | |
| .attr("transform", "translate(" + (width/2 - rayon/2) + "," + (height/2 + rayon/2) + ")"); | |
| var value = svg.append("text") | |
| .attr("x", rayon/2) | |
| .attr("y", -rayon-40) | |
| .style("text-anchor","middle") | |
| .style("font-size","35px") | |
| .text("π = 0"); | |
| svg.append("circle") | |
| .attr("r",rayon) | |
| .style("fill","none") | |
| .style("stroke","black") | |
| .style("stroke-width",2); | |
| svg.append("line") | |
| .attr("class", "square") | |
| .attr("x1",rayon) | |
| .attr("y1",0) | |
| .attr("x2",rayon) | |
| .attr("y2",-rayon); | |
| svg.append("line") | |
| .attr("class", "square") | |
| .attr("x1",0) | |
| .attr("y1",-rayon) | |
| .attr("x2",rayon) | |
| .attr("y2",-rayon); | |
| svg.append("g") | |
| .attr("class", "x axis") | |
| .call(xAxis); | |
| svg.append("g") | |
| .attr("class", "y axis") | |
| .call(yAxis); | |
| var blues = 0, | |
| reds = 0, | |
| pi = 0; | |
| d3.timer(function() { | |
| var cx = Math.random(), | |
| cy = Math.random(); | |
| if ((Math.pow(cx,2) + Math.pow(cy,2))< 1) { | |
| blues +=1; | |
| var color = "#66bd63" | |
| }else { | |
| reds +=1 | |
| var color = "#f46d43" | |
| }; | |
| pi = (blues / (blues + reds)) * 4; | |
| value.text("π = " + formatPi(pi)); | |
| svg.append("circle") | |
| .attr("cx",x(cx)) | |
| .attr("cy",y(cy)) | |
| .attr("r",3) | |
| .style("fill",color); | |
| return ++numSamples > 5000; | |
| }); | |
| d3.select(self.frameElement).style("height", height + "px"); | |
| </script> |
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