Lec 05 - Loops
Last updated
Last updated
Slides:
for loopThe for loop in C has the following syntax:
while loopThe while loop looks like this:
Note that there is no restriction <update> must execute after <body> in a while loop. But in a for loop, <udpate> is always executed after <body>.
do-while loopThe do-while loop looks similar to the while loop, except that the body of the loop is guaranteed to be executed at least once.
Similar to the while loop, the <body> component and <update> componenet in the loop do not have to be in order.
A loop invariant is an assertion that is true before the loop, after each iteration of the loop, and after the loop.
Argue that an invariant is true
it is true before entering the loop.
it is true at the end of the first iteration of the loop
if it is true at the end of the -th iteration of the loop, then it is true at the end of the -th iteration.
it is true when we exit the loop.
Loop invariant, however, is not unique. We can write down infinitely many loop invariants. A good invariant, however, will lead us to an assertion that we want to see (e.g., relating product to n). We can derive other invariants in our code (such as { n != 0 } below) that do not contribute to the reasoning of the behavior of our loop. Such invariants should be avoided.