Iteration
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Iteration. When statements are repeated, any simpler way ? A for statement with a range Tell Python that I have an iteration Tell Python how many times. def drawSquare ( myTurtle,sideLength ): myTurtle.forward ( sideLength ) myTurtle.right (90) # side 1 myTurtle.forward ( sideLength )

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Iteration

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Iteration

Iteration

  • When statements are repeated, any simpler way ?

  • A for statement with a range

    • Tell Python that I have an iteration

    • Tell Python how many times

defdrawSquare(myTurtle,sideLength):

myTurtle.forward(sideLength)

myTurtle.right(90) # side 1

myTurtle.forward(sideLength)

myTurtle.right(90) # side 2

myTurtle.forward(sideLength)

myTurtle.right(90) # side 3

myTurtle.forward(sideLength)

myTurtle.right(90) # side 4


Listing 1 3

Listing 1.3

defdrawS(myT,sideLength):

for i in range(0,4):

myT.forward(sideLength)

myTurtle.right(90)

defdrawSquare(myTurtle,sideLength):

myTurtle.forward(sideLength)

myTurtle.right(90) # side 1

myTurtle.forward(sideLength)

myTurtle.right(90) # side 2

myTurtle.forward(sideLength)

myTurtle.right(90) # side 3

myTurtle.forward(sideLength)

myTurtle.right(90) # side 4


For loop

FOR loop

  • “for i in range(0,4):”

    • “i” – a dummy variable keeping counts

    • range(a, b):

      • a, a+1, a+2, ….. , b-2, b-1

    • Do not forget “:” at the end

  • Statements to be repeated have to be indented


Figure 1 12

Figure 1.12


Iteration

Another example

  • Five numbers to get an average: 20, 30, 40, 5, 55

  • A general way of getting an average of any five numbers ?

    • A collection of five numbers – how to tell what it is ?

>>> avg2 = (20+30+40+5+55)/5


Iteration

Example

  • Compute the class average

Initialize total to zero

Initialize counter to zero

Input the first grade

while the user has not as yet entered the sentinel

add this grade into the running total

add one to the grade counter

input the next grade (possibly the sentinel)

if the counter is not equal to zero

set the average to the total divided by the counter

print the average

else

print 'no grades were entered'


Iteration

Example

  • Compute the class average

total = 0

counter = 0

while grades[counter] >=0:

total = total + grades[counter]

counter = counter+1

if counter > 0:

average = total/counter

print average

else:

print 'no grades were entered'


Iteration

Average

  • List – an ordered set

    • Index starting with 0 identifies each item in a list

  • A general way of getting an average of any five numbers ?

  • But, would be nice to ‘automate’ the summing process

    • => Further abstraction

>>> myList = [20,30,40,5,55]

>>> avg1 = (myList[0]+myList[1]+myList[2]+myList[3]+myList[4])/5


Iteration

Getting the sum

sum = myList[0]+myList[1]+myList[2]+myList[3]+myList[4]

  • How to automate the sum ?

sum = 0

sum = sum + myList[0]

sum = sum + myList[1]

sum = sum + myList[2]

sum = sum + myList[3]

sum = sum + myList[4]


Iteration

Getting the sum

sum = 0

sum = sum + myList[0]

sum = sum + myList[1]

sum = sum + myList[2]

sum = sum + myList[3]

sum = sum + myList[4]

  • Haven’t really automate the process, but we have

sum = 0

sum = sum + myList[ ]

sum = sum + myList[ ]

sum = sum + myList[ ]

sum = sum + myList[ ]

sum = sum + myList[ ]


Iteration

“for” loop

sum = 0

sum = sum + myList[0]

sum = sum + myList[1]

sum = sum + myList[2]

sum = sum + myList[3]

sum = sum + myList[4]

  • “for” steps through every element

sum = 0

forin range(0, 5):

sum = sum + myList[ ]

  • How about ?

    • Use any variable name


Iteration

“for” loop

for p in range(min, max):

block

p=min

true

p = max

false

Do block

p = p +1

Out of “for”


Iteration

Program an average

  • Remember getting an average ?

  • Can you write a command (in ???? below) to compute the average using ‘psum’

>>> myList = [20,30,40,5,55]

>>> avg1 = (myList[0]+myList[1]+myList[2]+myList[3]+myList[4])/5

>>> myList = [-20, 50, -4, 20, 7]

>>> n=5

>>> psum = 0

>>> for i in range(0,n):

… psum = psum + myList[i]

>>> ????


Iteration

sum Function

  • Hate typing an array of values, “for i in range(,):” each time you compute a sum

  • Any easier way ? -- YES !!

    • Create a GENERIC function to compute a sum regardless of arrays of values

    • => Further ABSTRACTION


Iteration

sum Function

def sum(thisList):

n = len(thisList)

psum = 0

for j in range(0,n):

psum = psum+thisList[j]

return psum


Listing 1 4

Listing 1.4

def drawSpiral(myTurtle,maxSide):

for sideLength in range(1,maxSide+1,5):

myTurtle.forward(sideLength)

myTurtle.right(90)


Figure 1 13

Figure 1.13


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