Jul 052012

Given two unsigned integers, find the larger (or smaller) of the two without using branching (if-else or conditional operator).


If given numbers are x and y, then the obvious answer is

    max = (x>y) ? x : y;

But it is using branching (conditional operator). Without using branching, you may choose the below method to find the largest.

    x ^ ((x ^ y) & -(x < y));

This method relies on the fact that XOR with 0 will result in the number itself, i.e

    x ^ 0 == x

and XOR of a number with itself will be zero. i.e

    x ^ x == 0

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