Created
May 23, 2012 12:53
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module.exports = BinaryHeap; | |
function BinaryHeap(scoreFunction){ | |
this.content = []; | |
this.scoreFunction = scoreFunction; | |
} | |
BinaryHeap.prototype = { | |
peek: function() { | |
return this.content[0]; | |
}, | |
push: function(element) { | |
// Add the new element to the end of the array. | |
this.content.push(element); | |
// Allow it to bubble up. | |
this.bubbleUp(this.content.length - 1); | |
}, | |
pop: function() { | |
// Store the first element so we can return it later. | |
var result = this.content[0]; | |
// Get the element at the end of the array. | |
var end = this.content.pop(); | |
// If there are any elements left, put the end element at the | |
// start, and let it sink down. | |
if (this.content.length > 0) { | |
this.content[0] = end; | |
this.sinkDown(0); | |
} | |
return result; | |
}, | |
remove: function(node) { | |
var len = this.content.length; | |
// To remove a value, we must search through the array to find | |
// it. | |
for (var i = 0; i < len; i++) { | |
if (this.content[i] == node) { | |
// When it is found, the process seen in 'pop' is repeated | |
// to fill up the hole. | |
var end = this.content.pop(); | |
if (i != len - 1) { | |
this.content[i] = end; | |
if (this.scoreFunction(end) > this.scoreFunction(node)) | |
this.bubbleUp(i); | |
else | |
this.sinkDown(i); | |
} | |
return; | |
} | |
} | |
throw new Error("Node not found."); | |
}, | |
size: function() { | |
return this.content.length; | |
}, | |
bubbleUp: function(n) { | |
// Fetch the element that has to be moved. | |
var element = this.content[n]; | |
// When at 0, an element can not go up any further. | |
while (n > 0) { | |
// Compute the parent element's index, and fetch it. | |
var parentN = Math.floor((n + 1) / 2) - 1, | |
parent = this.content[parentN]; | |
// Swap the elements if the parent is greater. | |
if (this.scoreFunction(element) > this.scoreFunction(parent)) { | |
this.content[parentN] = element; | |
this.content[n] = parent; | |
// Update 'n' to continue at the new position. | |
n = parentN; | |
} | |
// Found a parent that is less, no need to move it further. | |
else { | |
break; | |
} | |
} | |
}, | |
sinkDown: function(n) { | |
// Look up the target element and its score. | |
var length = this.content.length, | |
element = this.content[n], | |
elemScore = this.scoreFunction(element); | |
while(true) { | |
// Compute the indices of the child elements. | |
var child2N = (n + 1) * 2, child1N = child2N - 1; | |
// This is used to store the new position of the element, | |
// if any. | |
var swap = null; | |
// If the first child exists (is inside the array)... | |
if (child1N < length) { | |
// Look it up and compute its score. | |
var child1 = this.content[child1N], | |
child1Score = this.scoreFunction(child1); | |
// If the score is less than our element's, we need to swap. | |
if (child1Score > elemScore) | |
swap = child1N; | |
} | |
// Do the same checks for the other child. | |
if (child2N < length) { | |
var child2 = this.content[child2N], | |
child2Score = this.scoreFunction(child2); | |
if (child2Score > (swap == null ? elemScore : child1Score)) | |
swap = child2N; | |
} | |
// If the element needs to be moved, swap it, and continue. | |
if (swap != null) { | |
this.content[n] = this.content[swap]; | |
this.content[swap] = element; | |
n = swap; | |
} | |
// Otherwise, we are done. | |
else { | |
break; | |
} | |
} | |
} | |
}; |
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