Flow charts for two loop constructs - CS111
Iteration ? Part 2
CS111 Computer Programming
Department of Computer Science Wellesley College
Review: Iteration [Part 1]
o Iteration is the repeated execution of a set of statements until a stopping condition is reached.
o while loops are an iteration construct used when it is not known in advance how long execution should continue. for loops (an abstraction of while loops) are used when we have a fixed set of items in a sequence to iterate over.
o If the stopping condition is never reached, the loop will run forever. It is known in this case as an infinite loop.
o The stopping condition might involve one or more state variables, and we need to make sure that the body of the loop contains statements that continuously update these state variables.
o We can use the model of iteration tables to understand the inner workings of a loop. Its columns represent the state variables and the rows represent their values in every iteration.
Iteration 2
2
Review: Syntax of loops
Concepts in this slide: Comparing the syntax of both loop constructs.
while
a boolean expression denoting whether to iterate through the body of the
continuation_condition :loop one more time.
statement1
...
statementN
A variable that takes its values from the items of the sequence.
A sequence of items: characters in a string, items in a list, ranges, etc.
for var in sequence:
statement1
...
statementN
Iteration 2
3
Flow charts for two loop constructs
while
True
statement1
statementN
continuation _condition
False
while loop body
... ...
True
statement1
statementN
Still elements False
in sequence
for loop body
for
Iteration 2
4
Review: sumBetween with while loop
Concepts in this slide: Using the iteration table to reason about a problem.
step lo hi sumSoFar
In[6]: sumBetween(4,8)
0 48
0
Out[6]: 30 # 4 + 5 + 6 + 7 + 8
1 58
4
sumBetween(4,8) returns 30 sumBetween(4,4) returns 4 sumBetween(4,3) returns 0
2 68
9
3 78
15
4 88
22
def sumBetween(lo, hi):
5 98
30
'''Returns the sum of the integers from lo to hi
(inclusive). Assume lo and hi are integers.'''
sumSoFar = 0
initialize accumulator
while lo ................
................
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