function gamma(x){ var p = [0.99999999999980993, 676.5203681218851, -1259.1392167224028, 771.32342877765313, -176.61502916214059, 12.507343278686905, -0.13857109526572012, 9.9843695780195716e-6, 1.5056327351493116e-7]; var g = 7; if(x < 0.5){ return Math.PI / (Math.sin(Math.PI * x)*gamma(1-x)); } x -= 1; var a = p[0]; var t = x+g+0.5; for(var i = 1; i < p.length; i++){ a += p[i]/(x+i); } return Math.sqrt(2*Math.PI)*Math.pow(t, x+0.5)*Math.exp(-t)*a; }