I have been working on a program to calculate e. Here is it on jsfiddle.
/*
|| formula =
||
|| ∞
|| ____
|| \ (3k)^2 +1
|| e = / ---------
|| ____ (3k)!
|| k = 0
||
*/
var f = [];
function factorial (n) {
if (n == 0 || n == 1)
return 1;
if (f[n] > 0)
return f[n];
return f[n] = factorial(n-1) * n;
}
var eCalc = {
calculate: function(){
var steps = document.eCalc.num.value;
return this.calc(steps);
},
calc: function(terms){
var start_time = Date.now(),
e = 0,
d,
n;
for(i = 0; i < terms; i++){
n = Math.pow(3 * i, 2) + 1;
d = factorial(3 * i);
e = e + (n / d);
};
var end_time = Date.now(),
total_time = end_time - start_time;
if(total_time >= 1000){
total_time = (total_time/1000)+"seconds";
}else{
total_time += "ms";
}
document.eCalc.result.value = e;
document.getElementById('time').innerHTML = "Result calculated in: " + total_time + "...";
}
}
How can I make my program output more digits of e?
