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8 changes: 8 additions & 0 deletions config.json
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Expand Up @@ -640,6 +640,14 @@
"prerequisites": [],
"difficulty": 4
},
{
"slug": "simple-cipher",
"name": "Simple Cipher",
"uuid": "3ee728ed-25dd-4597-87aa-1ca377174cf0",
"practices": [],
"prerequisites": [],
"difficulty": 4
},
{
"slug": "space-age",
"name": "Space Age",
Expand Down
40 changes: 40 additions & 0 deletions exercises/practice/simple-cipher/.docs/instructions.md
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# Instructions

Create an implementation of the [Vigenère cipher][wiki].
The Vigenère cipher is a simple substitution cipher.

## Cipher terminology

A cipher is an algorithm used to encrypt, or encode, a string.
The unencrypted string is called the _plaintext_ and the encrypted string is called the _ciphertext_.
Converting plaintext to ciphertext is called _encoding_ while the reverse is called _decoding_.

In a _substitution cipher_, each plaintext letter is replaced with a ciphertext letter which is computed with the help of a _key_.
(Note, it is possible for replacement letter to be the same as the original letter.)

## Encoding details

In this cipher, the key is a series of lowercase letters, such as `"abcd"`.
Each letter of the plaintext is _shifted_ or _rotated_ by a distance based on a corresponding letter in the key.
An `"a"` in the key means a shift of 0 (that is, no shift).
A `"b"` in the key means a shift of 1.
A `"c"` in the key means a shift of 2, and so on.

The first letter of the plaintext uses the first letter of the key, the second letter of the plaintext uses the second letter of the key and so on.
If you run out of letters in the key before you run out of letters in the plaintext, start over from the start of the key again.

If the key only contains one letter, such as `"dddddd"`, then all letters of the plaintext are shifted by the same amount (three in this example), which would make this the same as a rotational cipher or shift cipher (sometimes called a Caesar cipher).
For example, the plaintext `"iamapandabear"` would become `"ldpdsdqgdehdu"`.

If the key only contains the letter `"a"` (one or more times), the shift distance is zero and the ciphertext is the same as the plaintext.

Usually the key is more complicated than that, though!
If the key is `"abcd"` then letters of the plaintext would be shifted by a distance of 0, 1, 2, and 3.
If the plaintext is `"hello"`, we need 5 shifts so the key would wrap around, giving shift distances of 0, 1, 2, 3, and 0.
Applying those shifts to the letters of `"hello"` we get `"hfnoo"`.

## Random keys

If no key is provided, generate a key which consists of at least 100 random lowercase letters from the Latin alphabet.

[wiki]: https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher
19 changes: 19 additions & 0 deletions exercises/practice/simple-cipher/.meta/config.json
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{
"authors": [
"metif12"
],
"files": {
"solution": [
"simple-cipher.v"
],
"test": [
"run_test.v"
],
"example": [
".meta/example.v"
]
},
"blurb": "Implement the Vigenère cipher, a simple substitution cipher.",
"source": "Substitution Cipher at Wikipedia",
"source_url": "https://en.wikipedia.org/wiki/Substitution_cipher"
}
63 changes: 63 additions & 0 deletions exercises/practice/simple-cipher/.meta/example.v
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module main

import rand

// The Latin alphabet, in the order the cipher shifts through.
const alphabet = 'abcdefghijklmnopqrstuvwxyz'

// The number of letters in the Latin alphabet, and the size of a Vigenere key.
const alphabet_size = 26

// random_key returns a key made of `length` random lowercase Latin letters.
// The instructions ask for at least 100 letters when no key is supplied.
fn random_key(length int) string {
return rand.string_from_set(alphabet, length)
}

// encode encrypts `text` with the Vigenere cipher.
//
// Every letter is shifted forward by the distance given by the matching letter
// of `key`, wrapping around the alphabet. The key repeats for as long as the
// text needs it, upper case letters keep their case, and every other character
// is copied unchanged.
//
// > returns the ciphertext
// > returns an error when `key` is empty
fn encode(text string, key string) !string {
return rotate(text, key, 1)
}

// decode turns `text` back into plaintext with the same `key` that `encode`
// used.
//
// > returns the plaintext
// > returns an error when `key` is empty
fn decode(text string, key string) !string {
return rotate(text, key, -1)
}

// rotate shifts every letter of `text` by the matching letter of `key`.
// `direction` is 1 to encode and -1 to decode.
fn rotate(text string, key string, direction int) !string {
if key == '' {
return error('the key must not be empty')
}
mut out := []u8{cap: text.len}
for i, ch in text {
if !is_letter(ch) {
out << ch
continue
}
// Adding the alphabet size first keeps the sum positive, so the
// remainder below behaves the same for encoding and decoding.
shift := int(key[i % key.len] - `a`) * direction
rotated := (int(ch - `a`) + shift + alphabet_size) % alphabet_size
out << if ch < `a` { u8(`A` + rotated) } else { u8(`a` + rotated) }
}
return out.bytestr()
}

// is_letter reports whether `ch` is a Latin letter of either case.
fn is_letter(ch u8) bool {
return (ch >= `a` && ch <= `z`) || (ch >= `A` && ch <= `Z`)
}
46 changes: 46 additions & 0 deletions exercises/practice/simple-cipher/.meta/tests.toml
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# This is an auto-generated file.
#
# Regenerating this file via `configlet sync` will:
# - Recreate every `description` key/value pair
# - Recreate every `reimplements` key/value pair, where they exist in problem-specifications
# - Remove any `include = true` key/value pair (an omitted `include` key implies inclusion)
# - Preserve any other key/value pair
#
# As user-added comments (using the # character) will be removed when this file
# is regenerated, comments can be added via a `comment` key.

[b8bdfbe1-bea3-41bb-a999-b41403f2b15d]
description = "Random key cipher -> Can encode"

[3dff7f36-75db-46b4-ab70-644b3f38b81c]
description = "Random key cipher -> Can decode"

[8143c684-6df6-46ba-bd1f-dea8fcb5d265]
description = "Random key cipher -> Is reversible. I.e., if you apply decode in a encoded result, you must see the same plaintext encode parameter as a result of the decode method"

[defc0050-e87d-4840-85e4-51a1ab9dd6aa]
description = "Random key cipher -> Key is made only of lowercase letters"

[565e5158-5b3b-41dd-b99d-33b9f413c39f]
description = "Substitution cipher -> Can encode"

[d44e4f6a-b8af-4e90-9d08-fd407e31e67b]
description = "Substitution cipher -> Can decode"

[70a16473-7339-43df-902d-93408c69e9d1]
description = "Substitution cipher -> Is reversible. I.e., if you apply decode in a encoded result, you must see the same plaintext encode parameter as a result of the decode method"

[69a1458b-92a6-433a-a02d-7beac3ea91f9]
description = "Substitution cipher -> Can double shift encode"

[21d207c1-98de-40aa-994f-86197ae230fb]
description = "Substitution cipher -> Can wrap on encode"

[a3d7a4d7-24a9-4de6-bdc4-a6614ced0cb3]
description = "Substitution cipher -> Can wrap on decode"

[e31c9b8c-8eb6-45c9-a4b5-8344a36b9641]
description = "Substitution cipher -> Can encode messages longer than the key"

[93cfaae0-17da-4627-9a04-d6d1e1be52e3]
description = "Substitution cipher -> Can decode messages longer than the key"
89 changes: 89 additions & 0 deletions exercises/practice/simple-cipher/run_test.v
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module main

// is_lowercase_letters reports whether `s` is a non-empty run of lowercase
// letters. This is the check behind the canonical `^[a-z]+$` match on the key.
fn is_lowercase_letters(s string) bool {
if s == '' {
return false
}
for ch in s {
if ch < `a` || ch > `z` {
return false
}
}
return true
}

// --- Random key cipher ---
//
// The canonical data describes these results symbolically, in terms of a
// `cipher.key` it never spells out. Shifting a run of `a`s reproduces the key
// unchanged, so a freshly generated key stands in for it exactly.

fn test_random_key_cipher_can_encode() {
plaintext := 'aaaaaaaaaa'
key := random_key(100)
// Canonical: cipher.key.substring(0, plaintext.length)
assert encode(plaintext, key)! == key[..plaintext.len]
}

fn test_random_key_cipher_can_decode() {
key := random_key(100)
// Canonical: cipher.key.substring(0, expected.length)
ciphertext := key[..'aaaaaaaaaa'.len]
assert decode(ciphertext, key)! == 'aaaaaaaaaa'
}

fn test_random_key_cipher_is_reversible() {
plaintext := 'abcdefghij'
key := random_key(100)
// Canonical: cipher.encode, i.e. whatever the cipher just produced.
ciphertext := encode(plaintext, key)!
assert decode(ciphertext, key)! == plaintext
}

fn test_random_key_cipher_key_is_made_only_of_lowercase_letters() {
key := random_key(100)
assert key.len == 100
// Canonical: the key matches ^[a-z]+$
assert is_lowercase_letters(key)
}

// --- Substitution cipher ---

fn test_substitution_cipher_can_encode() {
assert encode('aaaaaaaaaa', 'abcdefghij')! == 'abcdefghij'
}

fn test_substitution_cipher_can_decode() {
assert decode('abcdefghij', 'abcdefghij')! == 'aaaaaaaaaa'
}

fn test_substitution_cipher_is_reversible() {
key := 'abcdefghij'
// The intermediate ciphertext is pinned down too, so that a `decode` that
// simply echoed its input could not pass this test.
ciphertext := encode('abcdefghij', key)!
assert ciphertext == 'acegikmoqs'
assert decode(ciphertext, key)! == 'abcdefghij'
}

fn test_substitution_cipher_can_double_shift_encode() {
assert encode('iamapandabear', 'iamapandabear')! == 'qayaeaagaciai'
}

fn test_substitution_cipher_can_wrap_on_encode() {
assert encode('zzzzzzzzzz', 'abcdefghij')! == 'zabcdefghi'
}

fn test_substitution_cipher_can_wrap_on_decode() {
assert decode('zabcdefghi', 'abcdefghij')! == 'zzzzzzzzzz'
}

fn test_substitution_cipher_can_encode_messages_longer_than_the_key() {
assert encode('iamapandabear', 'abc')! == 'iboaqcnecbfcr'
}

fn test_substitution_cipher_can_decode_messages_longer_than_the_key() {
assert decode('iboaqcnecbfcr', 'abc')! == 'iamapandabear'
}
27 changes: 27 additions & 0 deletions exercises/practice/simple-cipher/simple-cipher.v
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module main

// random_key returns a key made of `length` random lowercase Latin letters.
// The instructions ask for at least 100 letters when no key is supplied. V's
// `rand` module draws such a key with `string_from_set`.
fn random_key(length int) string {
}

// encode encrypts `text` with the Vigenere cipher.
//
// Every letter is shifted forward by the distance given by the matching letter
// of `key`, wrapping around the alphabet. The key repeats for as long as the
// text needs it, upper case letters keep their case, and every other character
// is copied unchanged.
//
// > returns the ciphertext
// > returns an error when `key` is empty
fn encode(text string, key string) !string {
}

// decode turns `text` back into plaintext with the same `key` that `encode`
// used.
//
// > returns the plaintext
// > returns an error when `key` is empty
fn decode(text string, key string) !string {
}