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Explain briefly Loop-invariant code motion of the commonly used code optimization techniques.
Loop-invariant code motion
If a quantity is calculated inside a loop during iteration and its value is similar for iteration, this can vastly improve efficiency to hoist this outside the loop and calculate its value just once before the loop begins. It is particularly significant with the address-calculation expressions generated through loops over arrays. For accurate implementation, such technique must be utilized with loop inversion, since not all code is safe to be hoisted outside the loop.
For illustration:
for (i=1; i≤10, i++){
x=y*2-(1)
.
}
statement 1 can be hoisted outside the loop assuming value of x and y does not modify in the loop.
Asymptotic Notations These notations are used for evaluating functions. Assume we have two functions f(n) and g(n) defined on real numbers, Theta Notation Big Notation
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