Created
June 4, 2011 20:26
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Javascript Array Binary Heap
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/* | |
array implementation of a binary heap, example usage: | |
// can optionally provide a comparison function, a function for a max | |
// heap is the default if no comparison function is provided | |
var bh = binaryHeap(); | |
bh.push(5); | |
bh.push(34); | |
bh.push(16); | |
var max = bh.pop(); // 34 | |
print("number in heap: " + bh.size()) // 2 | |
*/ | |
var binaryHeap = function(comp) { | |
// default to max heap if comparator not provided | |
comp = comp || function(a, b) { | |
return a > b; | |
}; | |
var arr = []; | |
var swap = function(a, b) { | |
var temp = arr[a]; | |
arr[a] = arr[b]; | |
arr[b] = temp; | |
}; | |
var bubbleDown = function(pos) { | |
var left = 2 * pos + 1; | |
var right = left + 1; | |
var largest = pos; | |
if (left < arr.length && comp(arr[left], arr[largest])) { | |
largest = left; | |
} | |
if (right < arr.length && comp(arr[right], arr[largest])) { | |
largest = right; | |
} | |
if (largest != pos) { | |
swap(largest, pos); | |
bubbleDown(largest); | |
} | |
}; | |
var bubbleUp = function(pos) { | |
if (pos <= 0) { | |
return; | |
} | |
var parent = Math.floor((pos - 1) / 2); | |
if (comp(arr[pos], arr[parent])) { | |
swap(pos, parent); | |
bubbleUp(parent); | |
} | |
}; | |
var that = {}; | |
that.pop = function() { | |
if (arr.length === 0) { | |
throw new Error("pop() called on emtpy binary heap"); | |
} | |
var value = arr[0]; | |
var last = arr.length - 1; | |
arr[0] = arr[last]; | |
arr.length = last; | |
if (last > 0) { | |
bubbleDown(0); | |
} | |
return value; | |
}; | |
that.push = function(value) { | |
arr.push(value); | |
bubbleUp(arr.length - 1); | |
}; | |
that.size = function() { | |
return arr.length; | |
}; | |
return that; | |
}; |
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