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Binary Search
Array Partition
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Array Partition
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binary-search.js
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/* Typical comparison function */
let defaultCompare = (a, b) =>
a > b ? 1 : (a < b ? -1 : 0);

/* Version 1:
O(n)
Fixed memory
Loops
*/
let binarySearchWithLoops = (array, element, compare = defaultCompare) => {
let left = 0;
let right = array.length - 1;

while (left <= right) {
let middle = Math.floor((right + left) / 2);

switch (compare(element, array[middle])) {
case -1: {
right = middle - 1;
break;
}
case 1: {
left = middle + 1;
break;
}
default: {
return middle;
}
}
}

return -1;
};

let binarySearchWithRecursion = (array, element, compare = defaultCompare, left = 0, right = array.length - 1) => {
if (left > right) { return -1; }
const middle = Math.floor((right + left) / 2);
const comparison = compare(element, array[middle]);

if (comparison === 0) { return middle; }

const newBounds = comparison === -1
? [left, middle - 1]
: [middle + 1, right];

return binarySearchWithRecursion(array, element, compare, ...newBounds);
};

let binarySearchWithArraySplitting = (array, element, compare = defaultCompare) => {
if (array.length === 0) { return -1; }
const middle = Math.floor(array.length / 2);
const comparison = compare(element, array.get(middle));

if (comparison === 0) { return middle; }

const [left, right] = comparison === -1
? [0, middle - 1]
: [middle + 1, array.length];

const subIndex = binarySearchWithArraySplitting(array.slice(left, right), element, compare);

return subIndex === -1
? -1
: left + subIndex;
};

export let ArrayView = (
array,
start = 0,
end = array.length,
) => ({
length: end - start,
toArray: () => array.slice(start, end),
slice: (dStart, dEnd) =>
ArrayView(array, start + dStart, start + dEnd),
get: (index) => {
let realIndex = start + index;
return realIndex < end && realIndex >= start
? array[realIndex]
: undefined
;
},
});

let binarySearchWithArrayView = (array, ...args) =>
binarySearchWithArraySplitting(ArrayView(array), ...args);

export default binarySearchWithArrayView;
Console
/index.html
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