In the realm of programming, float serves as an estimation of a numeric value.
For example,
12345678901234567890 === 12345678901234567891true
However,
1234567890 === 1234567891 yields false
Where does the equation num === num+1 reach a breaking point?
To solve this mystery, I devised some code but alas, it takes too long...
for(var i = 0;;){
var old = i;
if(++i === old) break;
}
console.log(i);
The tipping point occurs at the number 2 raised to the power of 53.
console.log(9007199254740992 === 9007199254740993);
# this yields true
console.log(9007199254740991 === 9007199254740992);
# this yields false
Study the figures displayed in the console. Notice that the initial example cuts off after the 17th digit.
Explore this source for information on floating points in JavaScript.
experimented and found the tipping point by trial and error: 9007199254740991, 9007199254740992
let num = 1;
while (true) {
num *= 2;
if (num === num + 1) {
break;
}
}
let start = Math.round(num / 2);
let end = num;
while (start < end - 1) {
let middle = Math.round((start + end) / 2);
if (middle === middle + 1) {
end = middle;
} else {
start = middle;
}
}
console.log(start);
console.log(end);
see it in action: http://jsfiddle.net/gEdRh/
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