Created
February 15, 2017 00:48
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Javascript implementation of Heap's Algorithm for combinatorics
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//http://stackoverflow.com/questions/872310/javascript-swap-array-elements | |
Array.prototype.swap = function (x,y) { | |
var b = this[x]; | |
this[x] = this[y]; | |
this[y] = b; | |
return this; | |
} | |
//https://en.wikipedia.org/wiki/Heap's_algorithm | |
function generate(n){ | |
var combinations = []; | |
var A = []; | |
var c = []; | |
for(var i = 0; i < n; i++){ | |
c.push(0); | |
A.push(i+1); | |
} | |
combinations.push(A); | |
i = 0; | |
while(i < n){ | |
if(c[i] < i){ | |
if(i % 2 == 0){ | |
A.swap(0, i); | |
}else{ | |
A.swap(c[i], i); | |
} | |
combinations.push(A); | |
c[i]++; | |
i = 0; | |
}else{ | |
c[i] = 0; | |
i++; | |
} | |
} | |
return combinations; | |
} |
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