// The Computer Language Shootout
// http://shootout.alioth.debian.org/
// contributed by Isaac Gouy

function partial(n){
    var a1 = a2 = a3 = a4 = a5 = a6 = a7 = a8 = a9 = 0.0;
    var twothirds = 2.0/3.0;
    var alt = -1.0;
    var k2 = k3 = sk = ck = 0.0;
    
    for (var k = 1; k <= n; k++){
        k2 = k*k;
        k3 = k2*k;
        sk = Math.sin(k);
        ck = Math.cos(k);
        alt = -alt;
        
        a1 += Math.pow(twothirds,k-1);
        a2 += Math.pow(k,-0.5);
        a3 += 1.0/(k*(k+1.0));
        a4 += 1.0/(k3 * sk*sk);
        a5 += 1.0/(k3 * ck*ck);
        a6 += 1.0/k;
        a7 += 1.0/k2;
        a8 += alt/k;
        a9 += alt/(2*k -1);
    }

    return [ a1, a2, a3, a4, a5, a6, a7, a8, a9 ];
}

var actual = [];
for (var i = 1024; i <= 16384; i *= 2)
  Array.prototype.push.apply(actual, partial(i));

var eps = 1e-12;
var expect = [2.9999999999999987,62.555269219624684,0.9990243902439033,30.174793391263677,42.99468748637077,7.509175672278132,1.6439579810301654,0.6926591377284127,0.785154022830656,2.9999999999999987,89.06036157695789,0.9995119570522216,30.30796333494624,42.99485339033617,8.202078771817716,1.6444459047881168,0.6929030995395857,0.7852760930922243,2.9999999999999987,126.54745783224483,0.999755918965097,30.314167756318135,42.994888939123,8.89510389696629,1.6446899560231332,0.6930251251486118,0.7853371282421086,2.9999999999999987,179.56450569047874,0.9998779445868421,30.314499725429847,42.99489723774016,9.588190046095265,1.644812003986005,0.693086149128997,0.785367645819433,2.9999999999999987,254.54355172132264,0.9999389685688135,30.31451920492601,42.99489939769195,10.281306710008463,1.6448730335545856,0.6931166639131536,0.7853829046083998];

assertEq(actual.length, expect.length);
for (var i = 0; i < expect.length; ++i)
  assertEq(Math.abs(actual[i] - expect[i]) < eps, true);