Today: exam prep, hardware tour, string functions, unicode

Midterm Monday

See course page for timing, logistics, lots of practice problems. Finish Crypto program, first, take a day off, then worry about the exam. You might plan on spending, say, Sun afternoon / evening working practice problems.

Topics on the exam: simple Bit (hw1), images/pixels/nested-loops (hw2), 2-d grids (hw3), strings, loops, simple lists (hw4)

Topics not on exam: bit decomposition problems, bluescreen algorithm, writing main(), file reading, int div //

CS Coding Exam

The bad news / good news of it

How To Practice For A CS Exam

Practice Problems - Reps


Computer Hardware

Go look at lecture-13 and scroll down to hardware


int div // - Round Down To Int

Here's a brief introduction. We may use this more later on, but it is not required for the midterm.

1. The / operator always produces a float, even if the division comes out even.

>>> 7 / 2
3.5
>>> 8 / 2
4.0

2. Some operations really require an int - float does not work for indexing

>>> s = 'Python'
>>> s[3.0]
TypeError: string indices must be integers
>>> s[3]
'h'

3. Can use int-divide operator // which always produces and int by truncating the result down to the next int.

>>> 7 // 2
3
>>> 8 // 2
4
>>> 59 // 10
5
>>> 59 % 10    # related: % is the remainder
9
>>> 60 // 10
6
>>>

String - More Functions

See guide for details: Strings

Thus far we have done String 1.0: len, index numbers, [ ], in, upper, lower, isalpha, isdigit, slices, .find().

There are more functions. You should at least have an idea that these exist, so you can look them up if needed. The important strategy is: don't write code manually to do something a built-in function in Python will do for you. The most important functions you should have memorized, and the more rare ones you can look up.

s.startswith() s.endswith()

These are very convenient True/False tests for the specific case of checking if a substring appears at the start or end of a string. Also a pretty nice example of function naming.

>>> 'Python'.startswith('Py')
True
>>> 'Python'.startswith('Px')
False
>>> 'resume.html'.endswith('.html')
True

String - strip()

>>> s = '   this and that\n'
>>> s.strip()
'this and that'

String - split()

>>> # Say read a line like this from file
>>> line = 'Smith,Astrid,112453,2022'
>>> parts = line.split(',')
>>> parts
['Smith', 'Astrid', '112453', '2022']  # split into parts
>>> parts[0]
'Smith'
>>> parts[2]
'112453'
>>>
>>> 'apple:banana:donut'.split(':')
['apple', 'banana', 'donut']
>>> 
>>> 'this    is     it\n'.split()  # special whitespace form
['this', 'is', 'it']

String - join()

>>> foods = ['apple', 'banana', 'donut']
>>> ':'.join(foods)
'apple:banana:donut'

String Assembly + and str()

>>> name = 'Alice'
>>> score = 12
>>> 'Alice' + ' got score:' + str(score)
'Alice got score:12'
>>> 

Format String - New

Put a lowercase 'f' to the left of the string literal, making a specially treated "format" string. For each {..} in the string, Python evaluates the expression within and pastes the resulting value into the string. Super handy! The expression has access to local variables. We do not need to call str() to convert to string, it's done automatically.

>>> name = 'Alice'
>>> 
>>> f'this is {name}'
'this is Alice'
>>> 
>>> score = 12
>>> f'{name} got score:{score}'
Alice got score:12
>>>

Optional: Limit Digits {x:.4}

Add :.4 after the value in the curly braces to limit decimal digits printed. There are many other format options, but this is the one I use the most by far.

>>> x = 2/3
>>> f'value: {x}'
'value: 0.6666666666666666'
>>> f'value: {x:.4}'   # :.4
'value: 0.6667'

String Unicode

In the early days of computers, the ASCII character encoding was very common, encoding the roman a-z alphabet. ASCII is simple, and requires just 1 byte to store 1 character, but it has no ability to represent characters of other languages.

Each character in a Python string is a unicode character, so characters for all languages are supported. Also, many emoji have been added to unicode as a sort of character.

Every unicode character is defined by a unicode "code point" which is basically a big int value that uniquely identifies that character. Unicode characters can be written using the "hex" version of their code point, e.g. "03A3" is the "Sigma" char Σ, and "2665" is the heart emoji char ♥.

Hexadecimal aside: hexadecimal is a way of writing an int in base-16 using the digits 0-9 plus the letters A-F, like this: 7F9A or 7f9a. Two hex digits together like 9A or FF represent the value stored in one byte, so hex is a traditional easy way to write out the value of a byte. When you look up an emoji on the web, typically you will see the code point written out in hex, like 1F644, the eye-roll emoji 🙄.

You can write a unicode char out in a Python string with a \u followed by the 4 hex digits of its code point. Notice how each unicode char is just one more character in the string:

>>> s = 'hi \u03A3'
>>> s
'hi Σ'
>>> len(s)
4
>>> s[0]
'h'
>>> s[3]
'Σ'
>>>
>>> s = '\u03A9'  # upper case omega
>>> s
'Ω'
>>> s.lower()     # compute lowercase
'ω'
>>> s.isalpha()   # isalpha() knows about unicode
True
>>>
>>> 'I \u2665'
'I ♥'

For a code point with more than 4-hex-digits, use \U (uppercase U) followed by 8 digits with leading 0's as needed, like the fire emoji 1F525, and the inevitable 1F4A9.

>>> 'the place is on \U0001F525'
'the place is on 🔥'
>>> s = 'oh \U0001F4A9'
>>> len(s)
4

Ethics of Generosity and Unicode

Generosity is Good

History of Unicode and Python

The history of ASCII and Unicode is an example of ethics.

ASCII

In the early days of computing in the US, computers were designed with the ASCII character set, supporting only the roman a-z alphabet. This hurt the rest of the planet, which mostly doesn't write in English. There is a well known pattern where technology comes first in the developed world, is scaled up and becomes inexpensive, and then proliferates to the developing world. Computers in the US using ASCII hurt that technology pipeline. Choosing a US-only solution was the cheapest choice for the US in the moment, but made the technology hard to access for most of the world. This choice is somewhere between ungenerous and unethical.

Unicode Technology

Unicode takes 2-4 bytes per char, so it is more costly than ASCII. Cost per byte aside, Unicode is a good solution - a freely available standard. If a system uses Unicode, it and its data can interoperate with the other Unicode compliant systems.

Unicode vs. RAM Costs vs. Moore's Law

The cost of supporting non-ASCII data can be related to the cost of the RAM to store the unicode characters. In the 1950's every byte was literally expensive. An IBM model 360 could be leased for $5,000 per month, non inflation adjusted, and had about 32 kilobytes of RAM (not megabytes or gigabytes .. kilobytes!). So doing very approximate math, figuring RAM is half the cost of the computer, we get a cost of about $1 per byte per year.

>>> 5000 * 12 / (2 * 32000)
0.9375

So in 1950, Unicode is a non-starter. RAM is expensive.

RAM Costs Today

What does the RAM in your phone cost today? Say your phone costs $500 and has 8GB of RAM (conservative). Say the RAM is all the cost and the rest of the phone is free. What is the cost per byte?

The figure 8 GB is 8 billion bytes. In Python, you can write that as 8e9 - like on your scientific calculator.

>>> 500 / 8e9   # 8 GB
6.25e-08
>>> 
>>> 500 / 8e9 * 100  # in pennies
6.2499999999999995e-06

RAM costs nothing today - 6 millionths of a cent per byte. This is the result of Moore's law. Exponential growth is incredible.

Unicode Makes Sense in 1990s

Sometime in the 1990s, RAM was cheap enough that spending 2-4 bytes per char was not so bad, and around then is when Unicode was created. Unicode is a standard way of encoding chars in bytes, so that all the Unicode systems can transparently exchange data with each other.

With Unicode, the tech leaders were showing a little generosity to all the non-ASCII computer users out there in the world.

Generosity and Python Story

With Unicode, there is just one Python that works in every country. A world of programmers contribute to Python as free, open source software. We all benefit from that community, vs. each country maintaining their own in-country programming language, which would be a crazy waste of duplicated effort.

Ethic: Generosity

So being generous is the right thing to do. But the story also shows, that when you are generous to the world, that generosity may well come around and help you as well.