MATLAB: Is it possible to simplify this branching statement?

branchingsimplify

Is it possible to simplify this branching statement??

Best Answer

Yes. Use DeMorgan's law. ~(A OR B) is the same as ((~A) AND (~B)). Also use transitive properties.
So
~(x > 0.2 || y < 0.1)
is
x <= 0.2 && y >= 0.1
that && z == 10 gives
x <= 0.2 && y >= 0.1 && z == 10
on the other half,
~(x > 0.2 || z ~= 10)
is
x <= 0.2 && z == 10
and y >= 0.1 && that gives
y >= 0.1 && x <= 0.2 && z == 10
AND is transitive (provided that none of x, y, z are function calls instead of variables), so you can sort that in the same order as the first, into x y z order:
x <= 0.2 && y >= 0.1 && z == 10
and we are asked to == that against the first part which was
x <= 0.2 && y >= 0.1 && z == 10
and we can see that it is always true (unless, that is, x y or z is a function call, or one of them is NaN).
Ignoring the NaN case for the moment, this simplifies to not doing the "if" at all and just always doing the awesomeFunction() call.
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