In [1]:
# Run this cell to set up packages for lecture.
from lec10_imports import *

Lecture 10 – Conditional Statements and Iteration¶

DSC 10, Spring 2025¶

Agenda¶

  • Booleans.
  • Conditional statements (i.e. if-statements).
  • Iteration (i.e. for-loops).

Note:

  • We've finished introducing new DataFrame manipulation techniques.
  • Today we'll cover some foundational programming tools, which will be very relevant as we start to cover more ideas in statistics in the second half of the class.

Booleans¶

Recap: Booleans¶

  • bool is a data type in Python, just like int, float, and str.
    • It stands for "Boolean", named after George Boole, an early mathematician.
  • There are only two possible Boolean values: True or False.
    • Yes or no.
    • On or off.
    • 1 or 0.
  • Comparisons result in Boolean values.
In [7]:
dept = 'DSC'
course = 10
In [9]:
course < 20
Out[9]:
True
In [11]:
type(course < 20)
Out[11]:
bool

The in operator¶

Sometimes, we'll want to check if a particular element is in a list/array, or a particular substring is in a string. The in operator can do this for us, and it also results in a Boolean value.

In [14]:
course in [10, 20, 30]
Out[14]:
True
In [16]:
'DS' in dept
Out[16]:
True
In [18]:
'DS' in 'Data Science'
Out[18]:
False

Boolean operators; not¶

There are three operators that allow us to perform arithmetic with Booleans – not, and, and or.

not flips True ↔️ False.

In [22]:
dept == 'DSC'
Out[22]:
True
In [24]:
not dept == 'DSC'
Out[24]:
False

The and operator¶

The and operator is placed between two bools. It is True if both are True; otherwise, it's False.

In [27]:
80 < 30 and course < 20
Out[27]:
False
In [29]:
80 > 30 and course < 20
Out[29]:
True

The or operator¶

The or operator is placed between two bools. It is True if at least one is True; otherwise, it's False.

In [32]:
course in [10, 20, 30, 80] or type(course) == str
Out[32]:
True
In [33]:
# Both are True!
course in [10, 20, 30, 80] or type(course) == int
Out[33]:
True
In [34]:
# Both are False!
course == 80 or type(course) == str
Out[34]:
False

Order of operations¶

  • By default, the order of operations is not, and, or. See the precedence of all operators in Python here.
  • As usual, use (parentheses) to make expressions more clear.
In [36]:
course == 10 or (dept == 'DSC' and dept == 'CSE')
Out[36]:
True
In [37]:
# Different meaning!
(course == 10 or dept == 'DSC') and dept == 'CSE'
Out[37]:
False
In [38]:
# With no parentheses, "and" has precedence.
course == 10 or dept == 'DSC' and dept == 'CSE'
Out[38]:
True

Note: & and | vs. and and or¶

  • Use the & and | operators between two Series. Arithmetic will be done element-wise (separately for each row).
    • This is relevant when writing DataFrame queries, e.g. courses[(courses.get('dept') == 'DSC') & (courses.get('course') == 10)].
  • Use the and and or operators between two individual Booleans.
    • e.g. dept == 'DSC' and course == 10.

Conditionals¶

if-statements¶

  • Often, we'll want to run a block of code only if a particular conditional expression is True.
  • The syntax for this is as follows (don't forget the colon!):
if <condition>:
    <body>
  • Indentation matters!
In [44]:
capstone = 'finished'
capstone
Out[44]:
'finished'
In [45]:
if capstone == 'finished':
    print('Looks like you are ready to graduate!')

Looks like you are ready to graduate!

else¶

If you want to do something else if the specified condition is False, use the else keyword.

In [47]:
capstone = 'finished'
capstone
Out[47]:
'finished'
In [48]:
if capstone == 'finished':
    print('Looks like you are ready to graduate!')
else:
    print('Before you graduate, you need to finish your capstone project.')

Looks like you are ready to graduate!

elif¶

  • What if we want to check more than one condition? Use elif.
  • elif: if the specified condition is False, check the next condition.
  • If that condition is False, check the next condition, and so on, until we see a True condition.
    • After seeing a True condition, it evaluates the indented code and stops.
  • If none of the conditions are True, the else body is run.
In [50]:
capstone = 'in progress'
units = 123

if capstone == 'finished' and units >= 180:
    print('Looks like you are ready to graduate!')
elif capstone != 'finished' and units < 180:
    print('Before you graduate, you need to finish your capstone project and take', 
          180 - units, 'more units.')
elif units >= 180:
    print('Before you graduate, you need to finish your capstone project.')
else:
    print('Before you graduate, you need to take', 180 - units, 'more units.')

Before you graduate, you need to finish your capstone project and take 57 more units.

What if we use if instead of elif?

In [52]:
if capstone == 'finished' and units >= 180:
    print('Looks like you are ready to graduate!')
if capstone != 'finished' and units < 180:
    print('Before you graduate, you need to finish your capstone project and take',
          180 - units, 'more units.')
if units >= 180:
    print('Before you graduate, you need to finish your capstone project.')
else:
    print('Before you graduate, you need to take', 180 - units, 'more units.')

Before you graduate, you need to finish your capstone project and take 57 more units.
Before you graduate, you need to take 57 more units.

Example: Percentage to letter grade¶

Below, complete the implementation of the function, grade_converter, which takes in a percentage grade (grade) and returns the corresponding letter grade, according to this table:

Letter Range
A [90, 100]
B [80, 90)
C [70, 80)
D [60, 70)
F [0, 60)

Your function should work on these examples:

>>> grade_converter(84)
'B'

>>> grade_converter(60)
'D'

✅ Click here to see the solution after you've tried it yourself. 
def grade_converter(grade):
    if grade >= 90:
        return 'A'
    elif grade >= 80:
        return 'B'
    elif grade >= 70:
        return 'C'
    elif grade >= 60:
        return 'D'
    else:
        return 'F'
In [54]:
def grade_converter(grade):
    ...
In [151]:
grade_converter(84)
In [69]:
grade_converter(60)

Extra Practice¶

def mystery(a, b):
    if (a + b > 4) and (b > 0):
        return 'bear'
    elif (a * b >= 4) or (b < 0):
        return 'triton'
    else:
        return 'bruin'

Without running code:

  1. What does mystery(2, 2) return?
  2. Find inputs so that calling mystery will produce 'bruin'.
In [71]:
def mystery(a, b):
    if (a + b > 4) and (b > 0):
        return 'bear'
    elif (a * b >= 4) or (b < 0):
        return 'triton'
    else:
        return 'bruin'
In [ ]:
In [ ]:

Iteration¶

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for-loops¶

In [77]:
import time

print('Launching in...')

for x in [5, 4, 3, 2, 1]:
    print('t-minus', x)
    time.sleep(0.5) # Pauses for half a second.
    
print('Blast off! 🚀')

Launching in...
t-minus 5
t-minus 4
t-minus 3
t-minus 2
t-minus 1
Blast off! 🚀

for-loops¶

  • Loops allow us to repeat the execution of code. There are two types of loops in Python; the for-loop is one of them.
  • The syntax of a for-loop is as follows:
for <element> in <sequence>:
    <for body>
  • Read this as: "for each element of this sequence, repeat this code."
    • Lists, arrays, and strings are all examples of sequences.
  • Like with if-statements, indentation matters!

Activity¶

Using the array colleges, write a for-loop that prints:

Revelle College
John Muir College
Thurgood Marshall College
Earl Warren College
Eleanor Roosevelt College
Sixth College
Seventh College
Eighth College

✅ Click here to see the solution after you've tried it yourself. 
for college in colleges:
    print(college + ' College')
In [80]:
colleges = np.array(['Revelle', 'John Muir', 'Thurgood Marshall', 
            'Earl Warren', 'Eleanor Roosevelt', 'Sixth', 'Seventh', 'Eighth'])
In [81]:
...
Out[81]:
Ellipsis

Example: Multiplication Table¶

  • We know how to print the first row of the 12x12 multiplication table, using the multiples function we wrote earlier.
In [84]:
def multiples(k):
    '''This function returns the 
    first twelve multiples of k.'''
    return np.arange(k, 13*k, k)

print(multiples(1))

[ 1  2  3  4  5  6  7  8  9 10 11 12]
  • Similarly, we would print the second row with print(multiples(2)), and the third row with print(multiples(1)) and so on.
  • We can condense all these print statements with a for-loop!
In [86]:
for i in np.arange(1, 13):
    print(multiples(i))

[ 1  2  3  4  5  6  7  8  9 10 11 12]
[ 2  4  6  8 10 12 14 16 18 20 22 24]
[ 3  6  9 12 15 18 21 24 27 30 33 36]
[ 4  8 12 16 20 24 28 32 36 40 44 48]
[ 5 10 15 20 25 30 35 40 45 50 55 60]
[ 6 12 18 24 30 36 42 48 54 60 66 72]
[ 7 14 21 28 35 42 49 56 63 70 77 84]
[ 8 16 24 32 40 48 56 64 72 80 88 96]
[  9  18  27  36  45  54  63  72  81  90  99 108]
[ 10  20  30  40  50  60  70  80  90 100 110 120]
[ 11  22  33  44  55  66  77  88  99 110 121 132]
[ 12  24  36  48  60  72  84  96 108 120 132 144]
  • The line print(multiples(i)) is run thirteen times:
    • On the first iteration, i is 1.
    • On the second iteration, i is 2.
    • On the third iteration, i is 3.
  • This happens, even though there is no assignment statement i = anywhere.
  • Finally, we add some tabs and other formatting for a nicer-looking multiplication table!
In [89]:
print("\t 1\t2\t3\t4\t5\t6\t7\t8\t9\t10\t11\t12")
print("_"*100)
for i in np.arange(1, 13):
    print(str(i)+"\t|"+"\t".join(multiples(i).astype(str)))

	 1	2	3	4	5	6	7	8	9	10	11	12
____________________________________________________________________________________________________
1	|1	2	3	4	5	6	7	8	9	10	11	12
2	|2	4	6	8	10	12	14	16	18	20	22	24
3	|3	6	9	12	15	18	21	24	27	30	33	36
4	|4	8	12	16	20	24	28	32	36	40	44	48
5	|5	10	15	20	25	30	35	40	45	50	55	60
6	|6	12	18	24	30	36	42	48	54	60	66	72
7	|7	14	21	28	35	42	49	56	63	70	77	84
8	|8	16	24	32	40	48	56	64	72	80	88	96
9	|9	18	27	36	45	54	63	72	81	90	99	108
10	|10	20	30	40	50	60	70	80	90	100	110	120
11	|11	22	33	44	55	66	77	88	99	110	121	132
12	|12	24	36	48	60	72	84	96	108	120	132	144

Ranges¶

  • Recall, each element of a list/array has a numerical position.
    • The position of the first element is 0, the position of the second element is 1, etc.
  • We can write a for-loop that accesses each element in an array by using its position.
  • np.arange will come in handy.
In [91]:
actions = np.array(['ate', 'slept', 'ran'])
feelings = np.array(['content 🙂', 'energized 😃', 'exhausted 😓'])
In [92]:
len(actions)
Out[92]:
3
In [93]:
for i in np.arange(len(actions)):
    print(i)

0
1
2
In [94]:
for i in np.arange(len(actions)):
    print('I', actions[i], 'and I felt', feelings[i])

I ate and I felt content 🙂
I slept and I felt energized 😃
I ran and I felt exhausted 😓

Example: Goldilocks and the Three Bears¶

We don't have to use the loop variable inside the loop!

In [96]:
for i in np.arange(3):
    print('🐻')
print('👧🏼')

🐻
🐻
🐻
👧🏼

Randomization and iteration¶

  • In the next few lectures, we'll learn how to simulate random events, like flipping a coin.
  • Often, we will:
    1. Run an experiment, e.g. "flip 10 coins."
    2. Compute some statistic, e.g. "number of heads," and write it down somewhere.
    3. Repeat steps 1 and 2 many, many times using a for-loop.
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np.append¶

  • This function takes two inputs:
    • An array.
    • An element to add on to the end of the array.
  • It returns a new array. It does not modify the input array.
  • We typically use it like this to extend an array by one element:
name_of_array = np.append(name_of_array, element_to_add)
  • ⚠️ Remember to store the result!
In [102]:
some_array = np.array([])
In [103]:
np.append(some_array, 'hello')
Out[103]:
array(['hello'], dtype='<U32')
In [107]:
some_array
Out[107]:
array([], dtype=float64)
In [108]:
# Need to save the new array!
some_array = np.append(some_array, 'hello')
some_array
Out[108]:
array(['hello'], dtype='<U32')
In [109]:
some_array = np.append(some_array, 'there')
some_array
Out[109]:
array(['hello', 'there'], dtype='<U32')

Example: Coin flipping¶

The function flip(n) flips n fair coins and returns the number of heads it saw. (Don't worry about how it works for now.)

In [111]:
def flip(n):
    '''Returns the number of heads in n simulated coin flips, using randomness.'''
    return np.random.multinomial(n, [0.5, 0.5])[0]
In [112]:
# Run this cell a few times – you'll see different results!
flip(10)
Out[112]:
4

Let's repeat the act of flipping 10 coins, 10000 times.

  • Each time, we'll use the flip function to flip 10 coins and compute the number of heads we saw.
  • We'll store these numbers in an array, heads_array.
  • Every time we use our flip function to flip 10 coins, we'll add an element to the end of heads_array.
In [114]:
# heads_array starts empty – before the simulation, we haven't flipped any coins!
heads_array = np.array([])

for i in np.arange(10000):
    
    # Flip 10 coins and count the number of heads.
    num_heads = flip(10)
    
    # Add the number of heads seen to heads_array.
    heads_array = np.append(heads_array, num_heads)

Now, heads_array contains 10000 numbers, each corresponding to the number of heads in 10 simulated coin flips.

In [127]:
heads_array
Out[127]:
array([6., 4., 6., ..., 6., 7., 5.])
In [128]:
len(heads_array)
Out[128]:
10000
In [129]:
(bpd.DataFrame().assign(num_heads=heads_array)
 .plot(kind='hist', density=True, bins=np.arange(0, 12), ec='w', legend=False, 
       title = 'Distribution of the number of heads in 10 coin flips')
);
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The accumulator pattern¶

  • To store our results, we'll typically use an int or an array.
  • If using an int, we define an int variable (usually to 0) before the loop, then use + to add to it inside the loop.
    • Think of this like using a tally.
  • If using an array, we create an array (usually empty) before the loop, then use np.append to add to it inside the loop.
    • Think of this like writing the results on a piece of paper.
  • This pattern – of repeatedly adding to an int or an array – is called the accumulator pattern.

for-loops in DSC 10¶

  • Almost every for-loop in DSC 10 will use the accumulator pattern.

  • Do not use for-loops to perform mathematical operations on every element of an array or Series.

    • Instead use DataFrame manipulations and built-in array or Series methods.

  • Helpful video 🎥: For Loops (and when not to use them) in DSC 10.

Summary, next time¶

Summary¶

  • if-statements allow us to run pieces of code depending on whether certain conditions are True.
  • for-loops are used to repeat the execution of code for every element of a sequence.
    • Lists, arrays, and strings are examples of sequences.

Next time¶

  • Probability.
  • A math lesson – no code!