javascript surprising array comparison
I'm trying to compare two arrays in javascript.
What I'd like is:
a < b ⇔ ∃ i ≥ 0 s.t. a[i] < b[i] and ∀ 0 ≤ j < i, a[j] = b[j]
So arrays of non-negative numbers work as desired:
firebug> [0,1,2,3,4] < [1,0,0] true
And comparing negative numbers with zero works as expected:
firebug> [-1, 1] < [0, 0] true
But comparing negative numbers with negative numbers is... suprising:
firebug> [-2] < [-1] false firebug> -2 < -1 true
What's going on here, so I can correct my intuition for what array comparison means in javascript?
Answers
The array is converted to a string, which comes down to .join(), which in turn joins the elements with a comma (,) as delimiter.
"-1,1" < "0,0" === true
because the character code of - (45) is smaller than the character code of 0 (48).
On the other hand,
"-2" < "-1" === false
because the second character codes are compared (the first are both -, so that doesn't give a result yet), and the character code for 2 (50) is bigger than the character code of 1 (49), so this yields false.
It comes down to a lexographical sorting (i.e. by character codes) and not a numerical one, even if the elements are numbers (because of the string coercion).
Basically comparing arrays is not recommended. It is implicitly defined as string comparison, but this can yield surprising results.