simple_cipher

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Danil Negrienko 2024-08-21 20:23:30 -04:00
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{
"authors": [
"DoggettCK"
],
"contributors": [
"angelikatyborska",
"Cohen-Carlisle",
"devonestes",
"neenjaw",
"sotojuan"
],
"files": {
"solution": [
"lib/simple_cipher.ex"
],
"test": [
"test/simple_cipher_test.exs"
],
"example": [
".meta/example.ex"
]
},
"blurb": "Implement a simple shift cipher like Caesar and a more secure substitution cipher.",
"source": "Substitution Cipher at Wikipedia",
"source_url": "https://en.wikipedia.org/wiki/Substitution_cipher"
}

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{"track":"elixir","exercise":"simple-cipher","id":"9a856e2b11c04ba49a484ea3501c5e70","url":"https://exercism.org/tracks/elixir/exercises/simple-cipher","handle":"negrienko","is_requester":true,"auto_approve":false}

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# Used by "mix format"
[
inputs: ["{mix,.formatter}.exs", "{config,lib,test}/**/*.{ex,exs}"]
]

24
elixir/simple-cipher/.gitignore vendored Normal file
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# The directory Mix will write compiled artifacts to.
/_build/
# If you run "mix test --cover", coverage assets end up here.
/cover/
# The directory Mix downloads your dependencies sources to.
/deps/
# Where third-party dependencies like ExDoc output generated docs.
/doc/
# Ignore .fetch files in case you like to edit your project deps locally.
/.fetch
# If the VM crashes, it generates a dump, let's ignore it too.
erl_crash.dump
# Also ignore archive artifacts (built via "mix archive.build").
*.ez
# Ignore package tarball (built via "mix hex.build").
simple_cipher-*.tar

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# Help
## Running the tests
From the terminal, change to the base directory of the exercise then execute the tests with:
```bash
$ mix test
```
This will execute the test file found in the `test` subfolder -- a file ending in `_test.exs`
Documentation:
* [`mix test` - Elixir's test execution tool](https://hexdocs.pm/mix/Mix.Tasks.Test.html)
* [`ExUnit` - Elixir's unit test library](https://hexdocs.pm/ex_unit/ExUnit.html)
## Pending tests
In test suites of practice exercises, all but the first test have been tagged to be skipped.
Once you get a test passing, you can unskip the next one by commenting out the relevant `@tag :pending` with a `#` symbol.
For example:
```elixir
# @tag :pending
test "shouting" do
assert Bob.hey("WATCH OUT!") == "Whoa, chill out!"
end
```
If you wish to run all tests at once, you can include all skipped test by using the `--include` flag on the `mix test` command:
```bash
$ mix test --include pending
```
Or, you can enable all the tests by commenting out the `ExUnit.configure` line in the file `test/test_helper.exs`.
```elixir
# ExUnit.configure(exclude: :pending, trace: true)
```
## Useful `mix test` options
* `test/<FILE>.exs:LINENUM` - runs only a single test, the test from `<FILE>.exs` whose definition is on line `LINENUM`
* `--failed` - runs only tests that failed the last time they ran
* `--max-failures` - the suite stops evaluating tests when this number of test failures
is reached
* `--seed 0` - disables randomization so the tests in a single file will always be ran
in the same order they were defined in
## Submitting your solution
You can submit your solution using the `exercism submit lib/simple_cipher.ex` command.
This command will upload your solution to the Exercism website and print the solution page's URL.
It's possible to submit an incomplete solution which allows you to:
- See how others have completed the exercise
- Request help from a mentor
## Need to get help?
If you'd like help solving the exercise, check the following pages:
- The [Elixir track's documentation](https://exercism.org/docs/tracks/elixir)
- The [Elixir track's programming category on the forum](https://forum.exercism.org/c/programming/elixir)
- [Exercism's programming category on the forum](https://forum.exercism.org/c/programming/5)
- The [Frequently Asked Questions](https://exercism.org/docs/using/faqs)
Should those resources not suffice, you could submit your (incomplete) solution to request mentoring.
If you're stuck on something, it may help to look at some of the [available resources](https://exercism.org/docs/tracks/elixir/resources) out there where answers might be found.

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# Simple Cipher
Welcome to Simple Cipher on Exercism's Elixir Track.
If you need help running the tests or submitting your code, check out `HELP.md`.
## Instructions
Implement a simple shift cipher like Caesar and a more secure substitution cipher.
## Step 1
"If he had anything confidential to say, he wrote it in cipher, that is, by so changing the order of the letters of the alphabet, that not a word could be made out.
If anyone wishes to decipher these, and get at their meaning, he must substitute the fourth letter of the alphabet, namely D, for A, and so with the others."
—Suetonius, Life of Julius Caesar
Ciphers are very straight-forward algorithms that allow us to render text less readable while still allowing easy deciphering.
They are vulnerable to many forms of cryptanalysis, but Caesar was lucky that his enemies were not cryptanalysts.
The Caesar Cipher was used for some messages from Julius Caesar that were sent afield.
Now Caesar knew that the cipher wasn't very good, but he had one ally in that respect: almost nobody could read well.
So even being a couple letters off was sufficient so that people couldn't recognize the few words that they did know.
Your task is to create a simple shift cipher like the Caesar Cipher.
This image is a great example of the Caesar Cipher:
![Caesar Cipher][img-caesar-cipher]
For example:
Giving "iamapandabear" as input to the encode function returns the cipher "ldpdsdqgdehdu".
Obscure enough to keep our message secret in transit.
When "ldpdsdqgdehdu" is put into the decode function it would return the original "iamapandabear" letting your friend read your original message.
## Step 2
Shift ciphers quickly cease to be useful when the opposition commander figures them out.
So instead, let's try using a substitution cipher.
Try amending the code to allow us to specify a key and use that for the shift distance.
Here's an example:
Given the key "aaaaaaaaaaaaaaaaaa", encoding the string "iamapandabear"
would return the original "iamapandabear".
Given the key "ddddddddddddddddd", encoding our string "iamapandabear"
would return the obscured "ldpdsdqgdehdu"
In the example above, we've set a = 0 for the key value.
So when the plaintext is added to the key, we end up with the same message coming out.
So "aaaa" is not an ideal key.
But if we set the key to "dddd", we would get the same thing as the Caesar Cipher.
## Step 3
The weakest link in any cipher is the human being.
Let's make your substitution cipher a little more fault tolerant by providing a source of randomness and ensuring that the key contains only lowercase letters.
If someone doesn't submit a key at all, generate a truly random key of at least 100 lowercase characters in length.
## Extensions
Shift ciphers work by making the text slightly odd, but are vulnerable to frequency analysis.
Substitution ciphers help that, but are still very vulnerable when the key is short or if spaces are preserved.
Later on you'll see one solution to this problem in the exercise "crypto-square".
If you want to go farther in this field, the questions begin to be about how we can exchange keys in a secure way.
Take a look at [Diffie-Hellman on Wikipedia][dh] for one of the first implementations of this scheme.
[img-caesar-cipher]: https://upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Caesar_cipher_left_shift_of_3.svg/320px-Caesar_cipher_left_shift_of_3.svg.png
[dh]: https://en.wikipedia.org/wiki/Diffie%E2%80%93Hellman_key_exchange
## Source
### Created by
- @DoggettCK
### Contributed to by
- @angelikatyborska
- @Cohen-Carlisle
- @devonestes
- @neenjaw
- @sotojuan
### Based on
Substitution Cipher at Wikipedia - https://en.wikipedia.org/wiki/Substitution_cipher

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defmodule SimpleCipher do
@chars ?a..?z
defguardp is_char(char) when char in @chars
defguardp is_sign(sign) when sign in [-1, 1]
defp cipher(text, key) do
length = String.length(text)
times = div(length, String.length(key)) + 1
key
|> Kernel.to_charlist()
|> Enum.map(&(&1 - ?a))
|> List.duplicate(times)
|> List.flatten()
|> Enum.take(length)
end
defp rotate(text, key, sign) when is_binary(text) and is_sign(sign) do
cipher = cipher(text, key)
text
|> Kernel.to_charlist()
|> Enum.with_index(fn element, index -> rotate(element, Enum.at(cipher, index), sign) end)
|> Kernel.to_string()
end
defp rotate(char, shift, sign) when is_sign(sign) and is_char(char) and is_char(char + sign * shift), do: char + sign * shift
defp rotate(char, shift, sign) when is_sign(sign) and is_char(char), do: char + sign * shift - sign * 26
@doc """
Given a `plaintext` and `key`, encode each character of the `plaintext` by
shifting it by the corresponding letter in the alphabet shifted by the number
of letters represented by the `key` character, repeating the `key` if it is
shorter than the `plaintext`.
For example, for the letter 'd', the alphabet is rotated to become:
defghijklmnopqrstuvwxyzabc
You would encode the `plaintext` by taking the current letter and mapping it
to the letter in the same position in this rotated alphabet.
abcdefghijklmnopqrstuvwxyz
defghijklmnopqrstuvwxyzabc
"a" becomes "d", "t" becomes "w", etc...
Each letter in the `plaintext` will be encoded with the alphabet of the `key`
character in the same position. If the `key` is shorter than the `plaintext`,
repeat the `key`.
Example:
plaintext = "testing"
key = "abc"
The key should repeat to become the same length as the text, becoming
"abcabca". If the key is longer than the text, only use as many letters of it
as are necessary.
"""
def encode(plaintext, key), do: rotate(plaintext, key, 1)
@doc """
Given a `ciphertext` and `key`, decode each character of the `ciphertext` by
finding the corresponding letter in the alphabet shifted by the number of
letters represented by the `key` character, repeating the `key` if it is
shorter than the `ciphertext`.
The same rules for key length and shifted alphabets apply as in `encode/2`,
but you will go the opposite way, so "d" becomes "a", "w" becomes "t",
etc..., depending on how much you shift the alphabet.
"""
def decode(ciphertext, key), do: rotate(ciphertext, key, -1)
@doc """
Generate a random key of a given length. It should contain lowercase letters only.
"""
def generate_key(length) do
1..length
|> Enum.map(fn _i -> Enum.random(@chars) end)
|> to_string()
end
end

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defmodule SimpleCipher.MixProject do
use Mix.Project
def project do
[
app: :simple_cipher,
version: "0.1.0",
# elixir: "~> 1.8",
start_permanent: Mix.env() == :prod,
deps: deps()
]
end
# Run "mix help compile.app" to learn about applications.
def application do
[
extra_applications: [:logger, :crypto]
]
end
# Run "mix help deps" to learn about dependencies.
defp deps do
[
# {:dep_from_hexpm, "~> 0.3.0"},
# {:dep_from_git, git: "https://github.com/elixir-lang/my_dep.git", tag: "0.1.0"}
]
end
end

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defmodule SimpleCipherTest do
use ExUnit.Case
test "encoding with 'a' returns the original text" do
assert SimpleCipher.encode("a", "a") == "a"
assert SimpleCipher.encode("b", "a") == "b"
assert SimpleCipher.encode("c", "a") == "c"
end
test "encoding with another key returns shifted text" do
assert SimpleCipher.encode("a", "d") == "d"
assert SimpleCipher.encode("b", "d") == "e"
assert SimpleCipher.encode("c", "d") == "f"
end
test "decoding with 'a' returns the original text" do
assert SimpleCipher.decode("a", "a") == "a"
assert SimpleCipher.decode("b", "a") == "b"
assert SimpleCipher.decode("c", "a") == "c"
end
test "decoding with another key returns unshifted text" do
assert SimpleCipher.decode("d", "d") == "a"
assert SimpleCipher.decode("e", "d") == "b"
assert SimpleCipher.decode("f", "d") == "c"
end
test "key uses per-letter translation for encoding" do
key = "abc"
assert SimpleCipher.encode("abc", key) == "ace"
assert SimpleCipher.encode("bcd", key) == "bdf"
assert SimpleCipher.encode("cde", key) == "ceg"
assert SimpleCipher.encode("aaaaaaaaaa", "abcdefghij") == "abcdefghij"
end
test "key uses per-letter translation for decoding" do
key = "abc"
assert SimpleCipher.decode("ace", key) == "abc"
assert SimpleCipher.decode("bdf", key) == "bcd"
assert SimpleCipher.decode("ceg", key) == "cde"
assert SimpleCipher.decode("abcdefghij", "abcdefghij") == "aaaaaaaaaa"
end
test "reversible" do
key = "abcdefghij"
plaintext = "abcdefghij"
assert plaintext |> SimpleCipher.encode(key) |> SimpleCipher.decode(key) == plaintext
end
test "can double shift encode" do
assert SimpleCipher.encode("iamapandabear", "iamapandabear") == "qayaeaagaciai"
end
test "can wrap on encode" do
assert SimpleCipher.encode("zzzzzzzzzz", "abcdefghij") == "zabcdefghi"
end
test "can wrap on decode" do
assert SimpleCipher.decode("zabcdefghi", "abcdefghij") == "zzzzzzzzzz"
end
test "can encode messages longer than the key" do
assert SimpleCipher.encode("abc", "a") == "abc"
assert SimpleCipher.encode("abcdefghi", "abc") == "acedfhgik"
assert SimpleCipher.encode("iamapandabear", "abc") == "iboaqcnecbfcr"
end
test "can decode messages longer than the key" do
assert SimpleCipher.decode("abc", "a") == "abc"
assert SimpleCipher.decode("acedfhgik", "abc") == "abcdefghi"
assert SimpleCipher.decode("iboaqcnecbfcr", "abc") == "iamapandabear"
end
test "if key is longer than text, only use as much as needed" do
key = "somewhatlongkey"
assert SimpleCipher.encode("abc", key) == "spo"
assert SimpleCipher.decode("abc", key) == "inq"
end
test "if you know both the encoded and decoded text, you can figure out the key" do
key = "supersecretkey"
plaintext = "attackxatxdawn"
ciphertext = SimpleCipher.encode(plaintext, key)
assert SimpleCipher.decode(ciphertext, plaintext) == key
end
test "can generate keys of given length" do
assert String.length(SimpleCipher.generate_key(16)) == 16
assert String.length(SimpleCipher.generate_key(128)) == 128
assert String.length(SimpleCipher.generate_key(256)) == 256
end
test "generated keys are random" do
keys = Enum.map(0..100, fn _ -> SimpleCipher.generate_key(16) end)
assert keys == Enum.uniq(keys)
end
test "generated keys contain lowercase letters only" do
keys = Enum.map(0..100, fn _ -> SimpleCipher.generate_key(16) end)
assert Enum.all?(keys, &(&1 =~ ~r/^[a-z]*$/))
end
test "generated keys can be used to encode and decode text" do
Enum.each(0..100, fn _ ->
key = SimpleCipher.generate_key(16)
plaintext = "iamapandabear"
assert plaintext |> SimpleCipher.encode(key) |> SimpleCipher.decode(key) == plaintext
end)
end
end

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ExUnit.start()
ExUnit.configure(exclude: :pending, trace: true)