Libraries

Overview

Teaching: 10 min
Exercises: 10 min
Questions
  • How can I use software that other people have written?

  • How can I find out what that software does?

Objectives
  • Explain what software libraries are and why programmers create and use them.

  • Write programs that import and use modules from Python’s standard library.

  • Find and read documentation for the standard library interactively (in the interpreter) and online.

Most of the power of a programming language is in its libraries.

Libraries and modules

A library is a collection of modules, but the terms are often used interchangeably, especially since many libraries only consist of a single module, so don’t worry if you mix them.

A program must import a library module before using it.

import math

print('pi is', math.pi)
print('cos(pi) is', math.cos(math.pi))
pi is 3.141592653589793
cos(pi) is -1.0

Use help to learn about the contents of a library module.

help(math)
Help on module math:

NAME
    math

MODULE REFERENCE
    http://docs.python.org/3/library/math

    The following documentation is automatically generated from the Python
    source files.  It may be incomplete, incorrect or include features that
    are considered implementation detail and may vary between Python
    implementations.  When in doubt, consult the module reference at the
    location listed above.

DESCRIPTION
    This module is always available.  It provides access to the
    mathematical functions defined by the C standard.

FUNCTIONS
    acos(x, /)
        Return the arc cosine (measured in radians) of x.
⋮ ⋮ ⋮

Import specific items from a library module to shorten programs.

from math import cos, pi

print('cos(pi) is', cos(pi))
cos(pi) is -1.0

Create an alias for a library module when importing it to shorten programs.

import math as m

print('cos(pi) is', m.cos(m.pi))
cos(pi) is -1.0

Exploring the Math Module

  1. What function from the math module can you use to calculate a square root without using sqrt?
  2. Since the library contains this function, why does sqrt exist?

Solution

  1. Using help(math) we see that we’ve got pow(x,y) in addition to sqrt(x), so we could use pow(x, 0.5) to find a square root.
  2. The sqrt(x) function is arguably more readable than pow(x, 0.5) when implementing equations. Readability is a cornerstone of good programming, so it makes sense to provide a special function for this specific common case.

    Also, the design of Python’s math library has its origin in the C standard, which includes both sqrt(x) and pow(x,y), so a little bit of the history of programming is showing in Python’s function names.

Locating the Right Module

You want to select a random character from a string:

bases = 'ACTTGCTTGAC'
  1. Which standard library module could help you?
  2. Which function would you select from that module? Are there alternatives?
  3. Try to write a program that uses the function.

Solution

The random module seems like it could help.

The string has 11 characters, each having a positional index from 0 to 10. You could use the random.randrange or random.randint functions to get a random integer between 0 and 10, and then select the bases character at that index:

from random import randrange

random_index = randrange(len(bases))
print(bases[random_index])

or more compactly:

from random import randrange

print(bases[randrange(len(bases))])

Perhaps you found the random.sample function? It allows for slightly less typing but might be a bit harder to understand just by reading:

from random import sample

print(sample(bases, 1)[0])

Note that this function returns a list of values.

The simplest and shortest solution is the random.choice function that does exactly what we want:

from random import choice

print(choice(bases))

When Is Help Available?

When a colleague of yours types help(math), Python reports an error:

NameError: name 'math' is not defined

What has your colleague forgotten to do?

Solution

Importing the math module (import math)

Importing With Aliases

  1. Fill in the blanks so that the program below prints 90.0.
  2. Rewrite the program so that it uses import without as.
  3. Which form do you find easier to read?
import math as m
angle = ____.degrees(____.pi / 2)
print(____)

Solution

import math as m
angle = m.degrees(m.pi / 2)
print(angle)

can be written as

import math
angle = math.degrees(math.pi / 2)
print(angle)

Since you just wrote the code and are familiar with it, you might actually find the first version easier to read. But when trying to read a huge piece of code written by someone else, or when getting back to your own huge piece of code after several months, non-abbreviated names are often easier, except where there are clear abbreviation conventions.

Importing Specific Items

  1. Fill in the blanks so that the program below prints 90.0.
  2. Do you find this version easier to read than preceding ones?
  3. Why wouldn’t programmers always use this form of import?
____ math import ____, ____
angle = degrees(pi / 2)
print(angle)

Solution

from math import degrees, pi
angle = degrees(pi / 2)
print(angle)

Most likely you find this version easier to read since it’s less dense. The main reason not to use this form of import is to avoid name clashes. For instance, you wouldn’t import degrees this way if you also wanted to use the name degrees for a variable or function of your own. Or if you were to also import a function named degrees from another library.

Reading Error Messages

  1. Read the code below and try to identify what the errors are without running it.
  2. Run the code, and read the error message. What type of error is it?
from math import log
log(0)

Solution

---------------------------------------------------------------------------
ValueError                                Traceback (most recent call last)
<ipython-input-1-d72e1d780bab> in <module>
      1 from math import log
----> 2 log(0)

ValueError: math domain error
  1. The logarithm of x is only defined for x > 0, so 0 is outside the domain of the function.
  2. You get an error of type ValueError, indicating that the function received an inappropriate argument value. The additional message “math domain error” makes it clearer what the problem is.

Key Points

  • Most of the power of a programming language is in its libraries.

  • A program must import a library module in order to use it.

  • Use help to learn about the contents of a library module.

  • Import specific items from a library to shorten programs.

  • Create an alias for a library when importing it to shorten programs.