Python 1: The Beginning

If you are familiar with programming, this page will help you get started with Python.

Functions:

 x = 1
y = 2
x + y
--------------------------------------------------------------
3
x
--------------------------------------------------------------
1

add_numbers is a function that takes two numbers and adds them together.

def add_numbers(x, y):
return x + y

add_numbers(1, 2)
--------------------------------------------------------------
3

add_numbers updated to take an optional 3rd parameter. Using print allows printing of multiple expressions within a single cell.

def add_numbers(x,y,z=None):
if (z==None):
return x+y
else:
return x+y+z

print(add_numbers(1, 2))
print(add_numbers(1, 2, 3))
--------------------------------------------------------------
3
6

add_numbers updated to take an optional flag parameter.

def add_numbers(x, y, z=None, flag=False):
if (flag):
print('Flag is true!')
if (z==None):
return x + y
else:
return x + y + z

print(add_numbers(1, 2, flag=True))
--------------------------------------------------------------
Flag is true!
3

Assign function add_numbers to variable a.

def add_numbers(x,y):
return x+y
a = add_numbers
a(1,2)
--------------------------------------------------------------
3

Types and Sequences

Use type to return the object’s type.

type('This is a string')
--------------------------------------------------------------
str
type(None)
--------------------------------------------------------------
NoneType
type(1)
--------------------------------------------------------------
int
type(1.0)
--------------------------------------------------------------
float
type(add_numbers)
--------------------------------------------------------------
function

Tuples are an immutable data structure (cannot be altered).

x = (1, 'a', 2, 'b')
type(x)
--------------------------------------------------------------
tuple

Lists are a mutable data structure.

x = [1, 'a', 2, 'b']
type(x)
--------------------------------------------------------------
list

Use append to append an object to a list.

x.append(3.3)
print(x)
--------------------------------------------------------------
[1, 'a', 2, 'b', 3.3]

This is an example of how to loop through each item in the list

for item in x:
print(item)
--------------------------------------------------------------
1
a
2
b
3.3

Or using the indexing operator:

i=0
while( i != len(x) ):
print(x[i])
i = i + 1
--------------------------------------------------------------
1
a
2
b
3.3

Use + to concatenate lists.

[1,2] + [3,4]
--------------------------------------------------------------
[1, 2, 3, 4]

Use * to repeat lists.

[1]*3
--------------------------------------------------------------
[1, 1, 1]

Use the in operator to check if something is inside a list.

2 in [1, 2, 3]
--------------------------------------------------------------
True

Now let’s look at strings. Use bracket notation to slice a string.

x = 'This is a string'
print(x[0]) #first character
print(x[0:1]) #first character, but we have explicitly set the end character
print(x[0:2]) #first two characters
--------------------------------------------------------------
T
T
Th

This will return the last element of the string.

x[-1] #last character
--------------------------------------------------------------
'g'

This will return the slice starting from the 4th element from the end and stopping before the 2nd element from the end.

x[-4:-2]
--------------------------------------------------------------
'ri'

This is a slice from the beginning of the string and stopping before the 3rd element.

x[:3]
--------------------------------------------------------------
'Thi'

And this is a slice starting from the 4th element of the string and going all the way to the end.

x[3:]
--------------------------------------------------------------
's a string'
firstname = 'Christopher'
lastname = 'Brooks'

print(firstname + ' ' + lastname)
print(firstname*3)
print('Chris' in firstname)
--------------------------------------------------------------
Christopher Brooks
ChristopherChristopherChristopher
True

split returns a list of all the words in a string, or a list split on a specific character.

firstname = 'Christopher Arthur Hansen Brooks'.split(' ')[0] 
# [0] selects the first element of the list
lastname = 'Christopher Arthur Hansen Brooks'.split(' ')[-1]
# [-1] selects the last element of the list
print(firstname)
print(lastname)
--------------------------------------------------------------
Christopher
Brooks

Make sure you convert objects to strings before concatenating.

'Chris' + 2
------------------------------------------------
TypeError Traceback (most recent call last) in ()
----> 1 'Chris' + 2

TypeError: must be str, not int
'Chris' + str(2)
--------------------------------------------------------------
'Chris2'

Dictionaries associate keys with values.

x = {'Christopher Brooks': 'brooksch@umich.edu', 'Bill Gates': 'billg@microsoft.com'}

# Retrieve a value by using the indexing operator
print(x['Bill Gates'])
print(x)
--------------------------------------------------------------
billg@microsoft.com
{'Christopher Brooks': 'brooksch@umich.edu', 'Bill Gates': 'billg@microsoft.com'}
x['Kevyn Collins-Thompson'] = None
print(x['Kevyn Collins-Thompson'])
print(x)
--------------------------------------------------------------
None
{'Christopher Brooks': 'brooksch@umich.edu', 'Bill Gates': 'billg@microsoft.com', 'Kevyn Collins-Thompson':None}

Iterate over all of the keys:

for name in x:
print(x[name])
--------------------------------------------------------------
brooksch@umich.edu
billg@microsoft.com
None

Iterate over all of the values:

for email in x.values():
print(email)
--------------------------------------------------------------
brooksch@umich.edu
billg@microsoft.com
None

Iterate over all of the items in the list:

for name, email in x.items():
print(name)
print(email)
--------------------------------------------------------------
Christopher Brooks
brooksch@umich.edu
Bill Gates
billg@microsoft.com
Kevyn Collins-Thompson
None

You can unpack a sequence into different variables:

x = ('Christopher', 'Brooks', 'brooksch@umich.edu')
fname, lname, email = x

print(fname)
print(lname)
--------------------------------------------------------------
Christopher
Brooks

Make sure the number of values you are unpacking matches the number of variables being assigned.

x = ('Chris', 'Brooks', 'brooks@um.edu', 'Ann Arbor')
fname, lname, email = x
--------------------------------------------------------------
ValueError Traceback (most recent call last)
in ()
1 x = ('Chris', 'Brooks', 'brooks@um.edu', 'Ann Arbor')
----> 2 fname, lname, email = x

ValueError: too many values to unpack (expected 3)

 More on Strings

print('Chris' + 2)
--------------------------------------------------------------
ValueError Traceback (most recent call last)
<ipython-input-48-82ccfdd3d5d3> in <module>()
----> 1 print('Chris' + 2)

TypeError: must be str, not int
print('Chris' + str(2))
--------------------------------------------------------------
Chris2

Python has a built in method for convenient string formatting.

sales_record = {
'price': 3.24,
'num_items': 4,
'person': 'Chris'}
sales_statement = '{} bought {} item(s) at a price of {} each for a total of {}'
print(sales_statement.format(sales_record['person'],
sales_record['num_items'],
sales_record['price'],
sales_record['num_items']*sales_record['price']))
formatter = '{} is a {} from {}'
%precision 2
print(formatter.format(1.123/2, 'cat', 'shop'))
--------------------------------------------------------------
Chris bought 4 item(s) at a price of 3.24 each for a total of 12.96
0.5615 is a cat from shop

Reading and Writing CSV files

Let’s import a csv file mpg.csv, which contains fuel economy data for 234 cars.

  • mpg : miles per gallon
  • class : car classification
  • cty : city mpg
  • cyl : # of cylinders
  • displ : engine displacement in liters
  • drv : f = front-wheel drive, r = rear wheel drive, 4 = 4wd
  • fl : fuel (e = ethanol E85, d = diesel, r = regular, p = premium, c = CNG)
  • hwy : highway mpg
  • manufacturer : automobile manufacturer
  • model : model of car
  • trans : type of transmission
  • year : model year
import csv

%precision 2

with open('mpg.csv') as csvfile:
mpg = list(csv.DictReader(csvfile))

print(len(mpg))
print(type(mpg))
mpg[:3] # The first three dictionaries in our list.
--------------------------------------------------------------
234
<class 'list'>
[{'': '1',
'class': 'compact',
'cty': '18',
'cyl': '4',
'displ': '1.8',
'drv': 'f',
'fl': 'p',
'hwy': '29',
'manufacturer': 'audi',
'model': 'a4',
'trans': 'auto(l5)',
'year': '1999'},
{'': '2',
'class': 'compact',
'cty': '21',
'cyl': '4',
'displ': '1.8',
'drv': 'f',
'fl': 'p',
'hwy': '29',
'manufacturer': 'audi',
'model': 'a4',
'trans': 'manual(m5)',
'year': '1999'},
{'': '3',
'class': 'compact',
'cty': '20',
'cyl': '4',
'displ': '2',
'drv': 'f',
'fl': 'p',
'hwy': '31',
'manufacturer': 'audi',
'model': 'a4',
'trans': 'manual(m6)',
'year': '2008'}]

csv.Dictreader has read in each row of our csv file as a dictionary. len shows that our list is comprised of 234 dictionaries. The statement “with open(‘mpg.csv’) as csvfile:” is not like a loop, but more like a block getting executed only once.

len(mpg)
--------------------------------------------------------------
234

keys gives us the column names of our csv.

mpg[0].keys()
--------------------------------------------------------------
dict_keys(['', 'model', 'cyl', 'manufacturer', 'trans', 'year', 'fl', 'drv', 'hwy', 'class', 'displ', 'cty'])

This is how to find the average cty fuel economy across all cars. All values in the dictionaries are strings, so we need to convert to float.

sum(float(d['cty']) for d in mpg) / len(mpg)
--------------------------------------------------------------
16.86

Above statement shows a way to loop over all rows of CSV and apply sum on a particular column. Here ‘d’ is one dictionary from the list. Below is how to see what is d in the statement “for d in mpg”

for d in mpg:
print(type(d))
--------------------------------------------------------------
<class 'collections.OrderedDict'>
<class 'collections.OrderedDict'>
<class 'collections.OrderedDict'>
...

Similarly this is how to find the average hwy fuel economy across all cars.

sum(float(d['hwy']) for d in mpg) / len(mpg)
--------------------------------------------------------------
23.44

Use set to return the unique values for the number of cylinders the cars in our dataset have.

cylinders = set(d['cyl'] for d in mpg)
print(cylinders)
setVar = {1,2,3,3,4, 5,5,1}
print(setVar)
--------------------------------------------------------------
{'8', '6', '5', '4'}
{1, 2, 3, 4, 5}

Here’s a more complex example where we are grouping the cars by number of cylinder, and finding the average cty mpg for each group.

CtyMpgByCyl = []

for c in cylinders: # iterate over all the cylinder levels
summpg = 0
cyltypecount = 0
for d in mpg: # iterate over all dictionaries
# if the cylinder level type matches,
if d['cyl'] == c:
summpg += float(d['cty']) # add the cty mpg
cyltypecount += 1 # increment the count
# append the tuple ('cylinder', 'avg mpg')
CtyMpgByCyl.append((c, summpg / cyltypecount))

CtyMpgByCyl.sort(key=lambda x: x[0])
CtyMpgByCyl
--------------------------------------------------------------
[('4', 21.01), ('5', 20.50), ('6', 16.22), ('8', 12.57)]

Use set to return the unique values for the class types in our dataset.

# what are the class types
vehicleclass = set(d['class'] for d in mpg)
vehicleclass
--------------------------------------------------------------
{'2seater', 'compact', 'midsize', 'minivan', 'pickup', 'subcompact', 'suv'}

And here’s an example of how to find the average hwy mpg for each class of vehicle in our dataset.

HwyMpgByClass = []

for vclass in vehicleclass:
hwympgsum = 0
carcount = 0
for d in mpg:
if d['class'] == vclass:
hwympgsum += float(d['hwy'])
carcount += 1 # cannot use expr. carcount++
HwyMpgByClass.append((vclass, hwympgsum/carcount))

HwyMpgByClass.sort(key= lambda k:k[1])
HwyMpgByClass
--------------------------------------------------------------
[('pickup', 16.88),
('suv', 18.13),
('minivan', 22.36),
('2seater', 24.80),
('midsize', 27.29),
('subcompact', 28.14),
('compact', 28.30)]

Dates and Times

import datetime as dt
import time as tm

time returns the current time in seconds since the Epoch. (January 1st, 1970)

tm.time()
--------------------------------------------------------------
1550403271.72

Convert the timestamp to datetime.

dtnow = dt.datetime.fromtimestamp(tm.time())
dtnow
--------------------------------------------------------------
datetime.datetime(2019, 2, 17, 12, 36, 12, 69315)

Handy datetime attributes:

# get year, month, day, etc.from a datetime
dtnow.year, dtnow.month, dtnow.day, dtnow.hour, dtnow.minute, dtnow.second
--------------------------------------------------------------
(2019, 2, 17, 12, 36, 12)

timedelta is a duration expressing the difference between two dates.

# create a timedelta of 100 days
delta = dt.timedelta(days = 100)
delta
--------------------------------------------------------------
datetime.timedelta(100)

date.today returns the current local date.

today = dt.date.today()
today - delta # the date 100 days ago
--------------------------------------------------------------
datetime.date(2018, 11, 9)
today > today-delta # compare dates
--------------------------------------------------------------
True

Objects and map()

An example of a class in python

class Person:
department = 'School of Information' #a class variable
def set_name(self, new_name): #a method
self.name = new_name
def set_location(self, new_location):
self.location = new_location
person = Person()
person.set_name('Christopher Brooks')
person.set_location('Ann Arbor, MI, USA')
print('{} live in {} and works in the department {}'.format(person.name, person.location, person.department))
--------------------------------------------------------------
Christopher Brooks live in Ann Arbor, MI, USA and works in the department School of Information

Here’s an example of mapping the min function between two lists. It does an element by element compare and identifies the minimum. It’s like comparing store1[0] with store2[0] and stores the minimum of the two in cheapest.

The map() function applies a given to function to each item of an iterable and returns a list of the results.

The returned value from map() (map object) then can be passed to functions like list() (to create a list), set() (to create a set) and so on.

store1 = [10.00, 11.00, 12.34, 2.34]
store2 = [9.00, 11.10, 12.34, 2.01]
cheapest = map(min, store1, store2)
print(type(cheapest))

for item in cheapest:
print(item)
print(cheapest)
--------------------------------------------------------------
<class 'map'>
9.0
11.0
12.34
2.01
<map object at 0x7f2a243d02b0>

Once we iterate through the map object, it looses its value

store1 = [10.00, 11.00, 12.34, 2.34]
store2 = [9.00, 11.10, 12.34, 2.01]
cheapest = map(min, store1, store2)
list_cheapest = list(cheapest)
list_cheapest
--------------------------------------------------------------
[9.00, 11.00, 12.34, 2.01]

Lambda and List Comprehensions

Here’s an example of lambda that takes in three parameters and adds the first two.

my_function = lambda a, b, c : a + b
my_function(1, 2, 5)
--------------------------------------------------------------
3

Let’s iterate from 0 to 999 and return the even numbers.

my_list = []
for number in range(0, 100):
if number % 2 == 0:
my_list.append(number)

print(str(len(my_list)) + ":" + str(my_list))
--------------------------------------------------------------
50:[0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98]

Now the same thing but with list comprehension.

my_list = [number for number in range(0,00) if number % 2 == 0]
print(str(len(my_list)) + ":" + str(my_list))
--------------------------------------------------------------
50:[0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98]

Here is the syntax of list comprehension:

[expression for item   in   list    <conditional statement>]
| | | | | |
| | | | | +-----------------+
[number for number in range(0,00) if number % 2 == 0]

Numerical Python (NumPy)

import numpy as np

Creating Arrays

Create a list and convert it to a numpy array

mylist = [1, 2, 3]
x = np.array(mylist)
x
--------------------------------------------------------------
array([1, 2, 3])

Or just pass in a list directly

y = np.array([4, 5, 6])
y
--------------------------------------------------------------
array([4, 5, 6])

Pass in a list of lists to create a multidimensional array.

m = np.array([[7, 8, 9], [10, 11, 12]])
m
--------------------------------------------------------------
array([[ 7, 8, 9],
[10, 11, 12]])

Use the shape method to find the dimensions of the array. (rows, columns)

m.shape
--------------------------------------------------------------
(2, 3)

arange returns evenly spaced values within a given interval.

# start at 0 count up by 2, stop before 30
n = np.arange(0, 30, 2)
n
--------------------------------------------------------------
array([ 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28])

reshape returns an array with the same data with a new shape.

n = n.reshape(3, 5) # reshape array to be 3x5
n
--------------------------------------------------------------
array([[ 0, 2, 4, 6, 8],
[10, 12, 14, 16, 18],
[20, 22, 24, 26, 28]])

linspace returns evenly spaced numbers over a specified interval.

# return 9 evenly spaced values from 0 to 4
o = np.linspace(0, 4, 9)
o
--------------------------------------------------------------
array([ 0. , 0.5, 1. , 1.5, 2. , 2.5, 3. , 3.5, 4. ])

resize changes the shape and size of array in-place.

o.resize(3, 3)
o
--------------------------------------------------------------
array([[ 0. , 0.5, 1. ],
[ 1.5, 2. , 2.5],
[ 3. , 3.5, 4. ]])

ones returns a new array of given shape and type, filled with ones.

np.ones((3, 2))
--------------------------------------------------------------
array([[ 1., 1.],
[ 1., 1.],
[ 1., 1.]])

zeros returns a new array of given shape and type, filled with zeros.

np.zeros((2, 3))
--------------------------------------------------------------
array([[ 0., 0., 0.],
[ 0., 0., 0.]])

eye returns a 2-D array with ones on the diagonal and zeros elsewhere.

np.eye(3)
--------------------------------------------------------------
array([[ 1., 0., 0.],
[ 0., 1., 0.],
[ 0., 0., 1.]])

diag extracts a diagonal or constructs a diagonal array.

np.diag(y)
--------------------------------------------------------------
array([[ 4, 0, 0],
[ 0, 5, 0],
[ 0, 0, 6]])

Create an array using repeating list (or see np.tile)

np.array([1, 2, 3] * 3)
--------------------------------------------------------------
array([1, 1, 1, 2, 2, 2, 3, 3, 3])

Combining Arrays

p = np.ones([2, 3], int)
p
--------------------------------------------------------------
array([[1, 1, 1],
[1, 1, 1]])

Use vstack to stack arrays in sequence vertically (row wise).

np.vstack([p, 2*p])
--------------------------------------------------------------
array([[1, 1, 1],
[1, 1, 1],
[2, 2, 2],
[2, 2, 2]])

Use hstack to stack arrays in sequence horizontally (column wise).

np.hstack([p, 2*p])
--------------------------------------------------------------
array([[1, 1, 1, 2, 2, 2],
[1, 1, 1, 2, 2, 2]])

Operations

Use +-*/ and ** to perform element wise addition, subtraction, multiplication, division and power.

# elementwise addition     [1 2 3] + [4 5 6] = [5  7  9]
print(x + y)
# elementwise subtraction [1 2 3] - [4 5 6] = [-3 -3 -3]
print(x - y)
# elementwise multiplication [1 2 3] * [4 5 6] = [4 10 18]
print(x * y)
# elementwise divison [1 2 3] / [4 5 6] = [0.25 0.4 0.5]
print(x / y)
# elementwise power [1 2 3] ^2 = [1 4 9]
print(x**2)

Dot Product:

               [[y1],
[ x1 x2 x3] . [y2], = x1y1 + x2y2 + x3y3
[y3]]
# dot product  1*4 + 2*5 + 3*6
x.dot(y)
--------------------------------------------------------------
36
print(y)
z = np.array([y, y**2])
print(len(z)) # number of rows of array
z
--------------------------------------------------------------
[4 5 6]
2
array([[ 4, 5, 6],
[16, 25, 36]])

The shape of array z is (2,3) before transposing.

z.shape
--------------------------------------------------------------
(2, 3)

Use .T to get the transpose.

z.T
--------------------------------------------------------------
array([[ 4, 16],
[ 5, 25],
[ 6, 36]])

The number of rows has swapped with the number of columns.

z.T.shape
--------------------------------------------------------------
(3, 2)

Use .dtype to see the data type of the elements in the array.

z.dtype
--------------------------------------------------------------
dtype('int64')

Use .astype to cast to a specific type.

z = z.astype('f')
z.dtype
--------------------------------------------------------------
dtype('float32')

Math Functions

a = np.array([-4, -2, 1, 3, 5])
print(a.sum())
print(a.max())
print(a.min())
print(a.mean())
print(a.std())
--------------------------------------------------------------
3
5
-4
0.60
3.26

argmax and argmin return the index of the maximum and minimum values in the array.

print(a.argmax())
print(a.argmin())
--------------------------------------------------------------
4
0

Indexing / Slicing

s = np.arange(13)**2
s
--------------------------------------------------------------
array([ 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144])

Use bracket notation to get the value at a specific index. Remember that indexing starts at 0.

s[0], s[4], s[-1]
--------------------------------------------------------------
(0, 16, 144)

Use : to indicate a range. array[start:stop]
Leaving start or stop empty will default to the beginning/end of the array.

s[1:5]
--------------------------------------------------------------
array([ 1, 4, 9, 16])

Use negatives to count from the back.

s[-4:]
--------------------------------------------------------------
array([ 81, 100, 121, 144])

A second : can be used to indicate step-size. 
array[start:stop:stepsize]

Here we are starting 5th element from the end, and counting backwards by 2 until the beginning of the array is reached.

s[-5::-2]
--------------------------------------------------------------
array([64, 36, 16, 4, 0])

Let’s look at a multidimensional array.

r = np.arange(36)
r.resize((6, 6))
r
--------------------------------------------------------------
rray([[ 0, 1, 2, 3, 4, 5],
[ 6, 7, 8, 9, 10, 11],
[12, 13, 14, 15, 16, 17],
[18, 19, 20, 21, 22, 23],
[24, 25, 26, 27, 28, 29],
[30, 31, 32, 33, 34, 35]])

Use bracket notation to slice: array[row, column]

r[2, 2]
--------------------------------------------------------------
14

And use : to select a range of rows or columns

r[3, 3:6]
--------------------------------------------------------------
array([21, 22, 23])

Here we are selecting all the rows up to (and not including) row 2, and all the columns up to (and not including) the last column.

r[:2, :-1]
--------------------------------------------------------------
array([[ 0, 1, 2, 3, 4],
[ 6, 7, 8, 9, 10]])

This is a slice of the last row, and only every other element.

r[-1, ::2]
--------------------------------------------------------------
array([30, 32, 34])

We can also perform conditional indexing. Here we are selecting values from the array that are greater than 30. (Also see np.where)

r[r > 30]
--------------------------------------------------------------
array([31, 32, 33, 34, 35])

Here we are assigning all values in the array that are greater than 30 to the value of 30.

r[r > 30] = 30
r
--------------------------------------------------------------
array([[ 0, 1, 2, 3, 4, 5],
[ 6, 7, 8, 9, 10, 11],
[12, 13, 14, 15, 16, 17],
[18, 19, 20, 21, 22, 23],
[24, 25, 26, 27, 28, 29],
[30, 30, 30, 30, 30, 30]])

Copying Data

Be careful with copying and modifying arrays in NumPy!

r2 is a slice of r

r2 = r[:3,:3]
r2
--------------------------------------------------------------
array([[ 0, 1, 2],
[ 6, 7, 8],
[12, 13, 14]])

Set this slice’s values to zero ([:] selects the entire array)

r2[:] = 0
r2
--------------------------------------------------------------
array([[0, 0, 0],
[0, 0, 0],
[0, 0, 0]])

r has also been changed!

r
--------------------------------------------------------------
array([[ 0, 0, 0, 3, 4, 5],
[ 0, 0, 0, 9, 10, 11],
[ 0, 0, 0, 15, 16, 17],
[18, 19, 20, 21, 22, 23],
[24, 25, 26, 27, 28, 29],
[30, 30, 30, 30, 30, 30]])

To avoid this, use r.copy to create a copy that will not affect the original array

r_copy = r.copy()
r_copy
--------------------------------------------------------------
array([[ 0, 0, 0, 3, 4, 5],
[ 0, 0, 0, 9, 10, 11],
[ 0, 0, 0, 15, 16, 17],
[18, 19, 20, 21, 22, 23],
[24, 25, 26, 27, 28, 29],
[30, 30, 30, 30, 30, 30]])

Now when r_copy is modified, r will not be changed.

r_copy[:] = 10
print(r_copy, '\n')
print(r)
--------------------------------------------------------------
[[10 10 10 10 10 10]
[10 10 10 10 10 10]
[10 10 10 10 10 10]
[10 10 10 10 10 10]
[10 10 10 10 10 10]
[10 10 10 10 10 10]]

[[ 0 0 0 3 4 5]
[ 0 0 0 9 10 11]
[ 0 0 0 15 16 17]
[18 19 20 21 22 23]
[24 25 26 27 28 29]
[30 30 30 30 30 30]]

Iterating Over Arrays

Let’s create a new 4 by 3 array of random numbers 0-9.

test = np.random.randint(0, 10, (4,3))
test
--------------------------------------------------------------
array([[4, 3, 6],
[0, 7, 3],
[8, 4, 5],
[2, 6, 7]])

Iterate by row:

for row in test:
print(row)
--------------------------------------------------------------
[4 3 6]
[0 7 3]
[8 4 5]
[2 6 7]

Iterate by index:

for i in range(len(test)):
print(test[i])
print(len(test))
print(range(len(test)))
--------------------------------------------------------------
[4 3 6]
[0 7 3]
[8 4 5]
[2 6 7]
4
range(0, 4)

Iterate by row and index:

for i, row in enumerate(test):
print('row', i, 'is', row)
--------------------------------------------------------------
row 0 is [4 3 6]
row 1 is [0 7 3]
row 2 is [8 4 5]
row 3 is [2 6 7]

Use zip to iterate over multiple iterables.

test2 = test**2
test2
--------------------------------------------------------------
array([[16, 9, 36],
[ 0, 49, 9],
[64, 16, 25],
[ 4, 36, 49]])
for i, j in zip(test, test2):
print(i,'+',j,'=',i+j)
--------------------------------------------------------------
[4 3 6] + [16 9 36] = [20 12 42]
[0 7 3] + [ 0 49 9] = [ 0 56 12]
[8 4 5] + [64 16 25] = [72 20 30]
[2 6 7] + [ 4 36 49] = [ 6 42 56]

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