batmuffino.github.com/hearthstone.html at master · batmuffino/batmuffino.github.com · GitHub

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<!DOCTYPE html>
<html>
    <head>
        <meta charset="UTF-8">
        <title> Bayesian win probabilities for Hearthstone</title>
    </head>

    <script>
            var classes = ['Warrior','Mage','Priest','Paladin','Shaman','Rogue','Warlock','Druid','Hunter'];
 var g = 7;
     var C = [0.99999999999980993, 676.5203681218851, -1259.1392167224028,771.32342877765313, -176.61502916214059, 12.507343278686905, -0.13857109526572012, 9.9843695780195716e-6, 1.5056327351493116e-7];
     var alpha=10;
     var beta=10;

     function expectedPosterior(wins,losses) {
         return((alpha+wins)/(alpha+beta+wins+losses));
     }
     function variancePosterior(wins,losses) {
         return((alpha+wins)*(beta+wins+losses-wins)/((alpha+beta+wins+losses)*(alpha+beta+wins+losses)*(alpha+beta+wins+losses+1)))
     }
function gamma(z) {

    if (z < 0.5) return Math.PI / (Math.sin(Math.PI * z) * gamma(1 - z));
    else {
        z -= 1;

        var x = C[0];
        for (var i = 1; i < g + 2; i++)
        x += C[i] / (z + i);

        var t = z + g + 0.5;
        return Math.sqrt(2 * Math.PI) * Math.pow(t, (z + 0.5)) * Math.exp(-t) * x;
    }
     }
     function B(alpha,beta) {
         return(gamma(alpha)*gamma(beta)/gamma(alpha+beta));
     }
     function Bdens(theta,alpha,beta) {
         return(1/B(alpha,beta)*Math.pow(theta,alpha-1)*Math.pow(1-theta,beta-1))
     }
     function createTable() {
            var nrow = document.getElementById('archetypes').value;
            var ncol = 2;
            var theader= '<table border="1">\n';
            var tbody = '';


                for( var i = 0; i<nrow; i++) {
                    tbody+="<tr>";

                    for (var j = 0; j < ncol; j++) {
                        tbody+= "<td>";
                        tbody+= "Winrate " + i + ',' +j;
                        tbody+= "</td>";

                    }
                    tbody+="</tr>\n";


                }
            var tfooter = '</table>';
            document.getElementById('wrapper').innerHTML = theader+tbody+tfooter;

        }
     function createOutputTable() {
            var nrow = document.getElementById('archetypes').value;
            var ncol = 2;
            var theader= '<table border="1">\n';
         var tbody = '';
         var probs = [];
         var vars = [];
            tbody+="<tr>";
            tbody+="<td>Class</td>"
            tbody+="<td>Winrate</td>"
            tbody+="<td>Standard Deviation</td>"
            tbody+="</tr>\n";


                for( var i = 0; i<nrow; i++) {
                    tbody+="<tr>";
                        tbody+= "<td>";
                        tbody+= classes[i];
                        tbody+= "</td>";

                        tbody+= "<td>";
                        var win = parseInt(document.getElementById("input"+i+"0").value);
                    var loss = parseInt(document.getElementById("input"+i+"1").value);
                    tbody+=expectedPosterior(win,loss);
                    probs.push(expectedPosterior(win,loss));
                        tbody+= "</td>";
                    tbody+= "<td>";
                    tbody+=Math.sqrt(variancePosterior(win,loss));
                    vars.push((variancePosterior(win,loss)));
                        tbody+= "</td>";

                    tbody+="</tr>\n";


                }
         tbody+="<tr>";
                        tbody+= "<td>";
                        tbody+= "Overall";
                        tbody+= "</td>";
         tbody+="<td>"
         var wmean = 0;
         var svars =0;
         for(var i = 0; i < probs.length; i++) {
             wmean += 1/vars[i] * probs[i];
             svars += 1/vars[i];
         }
         wmean = wmean / svars;
         tbody+=wmean;
         tbody+="</td>"
         tbody+="<td>"
tbody+=Math.sqrt(1/svars);
         tbody+="</td>"
                    tbody+="</tr>\n";
            var tfooter = '</table>';
            document.getElementById('outwrapper').innerHTML = theader+tbody+tfooter;

        }
        function createInputTable() {
            var nrow = document.getElementById('archetypes').value;
            var ncol = 3;
            var theader= '<table border="1">\n';
            var tbody = '';

            tbody+="<tr>";
            tbody+="<td>Number of Wins</td>"
            tbody+="<td>Number of Wins</td>"
            tbody+="</tr>\n";

                for( var i = 0; i<nrow; i++) {
                    tbody+="<tr>";

                    for (var j = 0; j < ncol; j++) {
                        tbody+= "<td>";
                        tbody+= "<input id=input"+i+j+" type=\"text\">"
                        tbody+= "</td>";

                    }
                    tbody+="</tr>\n";


                }
            var tfooter = '</table>';
            document.getElementById('wrapper').innerHTML = theader+tbody+tfooter;

        }
        function createStandardInputTable() {
            var nrow = document.getElementById('archetypes').value;
            /* var nrow = 9;*/
            var ncol = 2;
            var theader= '<table border="1">\n';
            var tbody = '';

            tbody+="<tr>";
            tbody+="<td>Class</td>"
            tbody+="<td>Number of Wins</td>"
            tbody+="<td>Number of Losses</td>"
            tbody+="</tr>\n";

                for( var i = 0; i<nrow; i++) {
                    tbody+="<tr>";
                    /* tbody+="<td>" + classes[i] + "</td>";*/
                        tbody+= "<td>";
                        tbody+= "<input id=input"+i+j+" type=\"text\" value=\""+classes[i]+"\">"
                        tbody+= "</td>";

                    for (var j = 0; j < ncol; j++) {
                        tbody+= "<td>";
                        tbody+= "<input id=input"+i+j+" type=\"text\" value=\"0\">"
                        tbody+= "</td>";

                    }
                    tbody+="</tr>\n";


                }
            var tfooter = '</table>';
            document.getElementById('wrapper').innerHTML = theader+tbody+tfooter;

        }
    </script>

    <body>
        <h1>
            Probabilty Calculation
        </h1>
        <h2>
            Archetypes
        </h2>
        <form name ="inputTable">
        <label> Archetypes: <input type="text" name="archetypes" id="archetypes" value="9"></label>
        <!-- <input name="generate"  type="button"  value ="Create Table"  onclick="createInputTable()"> -->
        <input name="generate standard"  type="button"  value ="Create Standard Table"  onclick="createStandardInputTable()">
        <input name="calculate winrate"  type="button"  value ="Calculate Winrates"  onclick="createOutputTable()">
        </form>
        <div id="wrapper"></div>
        <div id="outwrapper"></div>
    </body>
</html>