Optimization Answers

Answers to Self-Study Questions

Test Yourself #2

Some examples of loops for which the compiler can be sure that the loop will execute at least once:

a repeat loop, i.e., a loop of the form:

	do {
	   < statements >
	while (<condition>)

a for loop with a header like this:
for (int k = <low>; k < <high>; k++)
where <low> and <high> can be evaluated at compile time (e.g., they are both literal values), and <low>is less than <high>.
a while loop whose initial condition can be evaluated at compile time after some simple optimizations like copy propagation; for example:
```
       x = 0;
       while (x < 10) { ... }
       
```

Test Yourself #3

As illustrated immediately below this question, a Java compiler doesn't have to give up on this optimization. A for-loop that uses literals as the low and high bounds, use i++ (where i is the loop-index variable) as the increment, and doesn't assign to i inside the loop is a perfect candidate.

Test Yourself #4

Strength reduction can still be done if the loop-index variable is incremented by any constant amount. The only change is to change

incrementing the temporary by k1 at the end of the loop

incrementing the temporary by increment * k1 at the end of the loop

Note that the expression increment * k1 can be evaluated at compile time, so the increment of the temporary still only involves one addition (or subtraction), and no multiplications.