for loop revisited¶
Recall that the
for loop processes each item in a list. Each item in
turn is (re-)assigned to the loop variable, and the body of the loop is executed.
We saw this example in an earlier chapter.
We have also seen iteration paired with the update idea to form the accumulator pattern. For example, to compute
the sum of the first n integers, we could create a for loop using the
range to produce the numbers 1 through n.
Using the accumulator pattern, we can start with a running total variable initialized to 0 and on each iteration, add the current value of the loop
variable. A function to compute this sum is shown below.
To review, the variable
theSum is called the accumulator. It is initialized to zero before we start the loop. The loop variable,
aNumber will take on the values produced by the
range(1, aBound + 1) function call. Note that this produces all the integers from 1 up to the value of
aBound. If we had not added 1 to
aBound, the range would have stopped one value short since
range does not include the upper bound.
The assignment statement,
theSum = theSum + aNumber, updates
theSum each time through the loop. This accumulates the running total. Finally, we return the value of the accumulator.