Mathematically Find Max Value without Conditional Comparison

Question

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codymanix and moonshadow have been a big help thus far. I was able to solve my problem using the equations and instead of using right

Answer 1

Solution without conditionals. Cast to uint then back to int to get abs.

int abs (a) { return (int)((unsigned int)a); }
int max (a, b) { return (a + b + abs(a - b)) / 2; }

int max3 (a, b, c) { return (max(max(a,b),c); }