用Python代写一个复杂的加密算法,每一次加密过程都需要非常仔细,否则最终无法解密。
Introduction
The goal of this assignment is to gain practice with some important Python and
computer science concepts:
- reading and understanding algorithms (this can be quite a bit of work!)
- understanding a top-down design
- composing multiple functions that together implement the algorithm
- working with strings and lists
You’ll be implementing a program to encrypt and decrypt text using an
encryption algorithm. Such an algorithm describes a process that turns
plaintext into what looks like gibberish (we’ll call this ciphertext), and
decrypts the ciphertext back into plaintext. For example, your program will be
able to take a secret message written in ciphertext, and figure out what it
says. … Like:
XHXZCHRYTMWEHOPPB
Hmmm. How can that ciphertext be decrypted, and what does it say? You’ll have
to do the assignment to find out!
The Encryption Algorithm
The encryption algorithm carries out encryption and decryption using a deck of
cards. However, we’re going to make two simplifications to a regular card
deck. First, rather than use a standard deck of 52 cards, we’re going to use
28 cards. Second, rather than use actual card ranks and suits, we’re going to
use the numbers from 1 to 28. We will call 27 and 28 the jokers. We’re doing
this because it’s not necessary to know anything about playing cards to
understand this algorithm, so we might as well use integers rather than card
names.
The algorithm is an example of a stream cipher. What that means is that every
time you complete a round of the algorithm, you get one keystream value. This
stream of values is then used, in combination with plaintext or ciphertext, to
encrypt or decrypt, respectively. You will complete one round of the algorithm
for each letter in the text to be encrypted or decrypted.
Each round of the algorithm consists of (one or more repetitions of) five
steps; once all steps in a round are complete, one keystream value is
available and the next round of keystream generation can begin.
Here is the algorithm; an example follows.
Begin with a deck of cards, which is really just a permutation of the integers
from 1 to 28. The steps for one round are as follows:
- Find the card with value 27. Swap this card with the following card (so that it moves down one position). If the card with value 27 is at the bottom end of the deck, then swap the 27 with the top card. That is, think of the deck as circular, so that the card following the bottom card is the top card.
- Find the card with value 28. Move it two cards down by performing two swaps, again treating the deck as circular.
- Recall that the two cards with values 27 and 28 are the two jokers. Swap the cards above the first joker (the joker closest to the top of the deck) with the cards below the second joker. This is called a triple cut. Think about what happens if a joker is at the top or bottom of the deck? What if the jokers are next to each other? Is this a problem?
- Look at the bottom card from the deck. That card will have some value v. If v is 28, use a value v of 27 in this step. Then, take v cards from the top of the deck, and put them above the bottom-most card in the deck.
- Look at the top card from the deck. That card will have some value v. If v is 28, use a value v of 27 in this step. Starting from the top, find the card that is at position v in the deck (the topmost card is at position 0). If the card on which you land is a joker, continue the current round at step 1. Otherwise, remember the value of the card on which you landed; this is the keystream value generated for the current round. This keystream value will be in the range 1-26 inclusive. (Thought question: why can’t it be a 27 or a 28?)
To generate another keystream value, we take the deck as it is after step 5
and run another round of the algorithm. We need to generate one keystream
value for each character in the text to be encrypted or decrypted.
Encrypting and Decrypting
To encrypt a message, remove all non-letters from the message and convert any
lowercase letters to uppercase. Next, convert the letters to numbers (A
becomes 0, B becomes 1, …, Y becomes 24, and Z becomes 25). Then, use the
algorithm to generate the same number of values as there are letters in the
message. Add the corresponding pairs of numbers, modulo 26. Finally, convert
the resulting numbers back to letters.
Decryption is just the reverse of encryption. Start by converting the message
to be decoded to numbers. Using the same card ordering as was used to encrypt
the message, generate one keystream value for each character in the message.
(Because the same starting deck of cards was used, the same keystream will be
generated.) Subtract the keystream values from the message numbers, again
modulo 26. Finally, convert the numbers to letters to recover the message.
Files to Download
Please download the Assignment 1 Data Files and extract the zip archive. The
following paragraphs explain the files you have been given.
The main program: cipher_program.py
This file contains the definition of three constants, an empty function called
main, and a call on function main. More on this later.
A nearly-empty file: cipher_functions.py
You’ll write almost all of the functions here. It’s imported by
cipher_program.py. It includes two constants: JOKER1 and JOKER2. In order to
make your code more readable, use these constants instead of using 27 and 28
lest you incur the wrath of the people marking your program!
deck files: deck1.txt and deck2.txt
A deck of cards will be represented in Python as a list of numbers. We provide
a sample deck in deck1.txt. Notice that this file has multiple lines: a deck
file can have any number of lines. Another sample file deck2.txt is a
different file, but if you look closely you will notice that it represents the
same deck. Your function for reading in a deck must work for both these deck
files and any others that we might use for testing. In particular, the numbers
might be in a different order and there could be one or more numbers on each
line.
Some message files: message-encrypted.txt, message-decrypted.txt and
secret?.txt
Messages to encrypt or decrypt will be stored in text files. Message text
files contain one message per line. Imagine that we’re encrypting or
decrypting a message file that contains multiple lines (i.e. multiple
messages). The first line is encrypted (or decrypted) using the deck in the
configuration as specified in a deck file. Subsequent lines of that same file
are encrypted (or decrypted) starting with the configuration of the deck
following the previous encryption (or decryption). That is, the deck is not
reset between message lines of a message file.
The starter code archive contains a pair of text files: message-encrypted.txt
and message-decrypted.txt that contain both an encrypted and decrypted version
of the same message, and several other files named secret?.txt (secret1.txt,
secret2.txt, etc.) containing ciphertext that you can decrypt. Some of them
contain multiple messages, one message per line. They were all encrypted using
the deck in deck1.txt.
A type-checking file: typechecker.py
To help you test, we provide a type checker. This program calls all of the
functions that appear in the table below (except for function main and the two
file-reading functions) and makes sure that your functions accept the proper
number of parameters and return the proper type. Passing the type-checker says
nothing of the correctness of your functions. It only says that your functions
have the correct number of parameters and that the functions return the right
type of value.
For example, if your clean_message function has one parameter and always
returns the empty string, it will pass the type checker even though it is
completely incorrect. Passing the type checker means that our own tests will
be able to call your functions properly when we go mark your assignment.
That’s all it means. Test carefully on your own as explained more toward the
end of this handout!