Skip to content

Commit

Permalink
Sync affine-cipher with problem-specifications (#1748)
Browse files Browse the repository at this point in the history
  • Loading branch information
senekor authored Sep 20, 2023
1 parent 09cb4c7 commit ec5f981
Show file tree
Hide file tree
Showing 5 changed files with 157 additions and 113 deletions.
108 changes: 56 additions & 52 deletions exercises/practice/affine-cipher/.docs/instructions.md
Original file line number Diff line number Diff line change
@@ -1,70 +1,74 @@
# Instructions

Create an implementation of the affine cipher,
an ancient encryption system created in the Middle East.
Create an implementation of the affine cipher, an ancient encryption system created in the Middle East.

The affine cipher is a type of monoalphabetic substitution cipher.
Each character is mapped to its numeric equivalent, encrypted with
a mathematical function and then converted to the letter relating to
its new numeric value. Although all monoalphabetic ciphers are weak,
the affine cypher is much stronger than the atbash cipher,
because it has many more keys.
Each character is mapped to its numeric equivalent, encrypted with a mathematical function and then converted to the letter relating to its new numeric value.
Although all monoalphabetic ciphers are weak, the affine cipher is much stronger than the atbash cipher, because it has many more keys.

[//]: # " monoalphabetic as spelled by Merriam-Webster, compare to polyalphabetic "

## Encryption

The encryption function is:

`E(x) = (ax + b) mod m`
- where `x` is the letter's index from 0 - length of alphabet - 1
- `m` is the length of the alphabet. For the roman alphabet `m == 26`.
- and `a` and `b` make the key
```text
E(x) = (ai + b) mod m
```

The decryption function is:
Where:

- `i` is the letter's index from `0` to the length of the alphabet - 1
- `m` is the length of the alphabet.
For the Roman alphabet `m` is `26`.
- `a` and `b` are integers which make the encryption key

Values `a` and `m` must be _coprime_ (or, _relatively prime_) for automatic decryption to succeed, i.e., they have number `1` as their only common factor (more information can be found in the [Wikipedia article about coprime integers][coprime-integers]).
In case `a` is not coprime to `m`, your program should indicate that this is an error.
Otherwise it should encrypt or decrypt with the provided key.

For the purpose of this exercise, digits are valid input but they are not encrypted.
Spaces and punctuation characters are excluded.
Ciphertext is written out in groups of fixed length separated by space, the traditional group size being `5` letters.
This is to make it harder to guess encrypted text based on word boundaries.

`D(y) = a^-1(y - b) mod m`
- where `y` is the numeric value of an encrypted letter, ie. `y = E(x)`
- it is important to note that `a^-1` is the modular multiplicative inverse
of `a mod m`
- the modular multiplicative inverse of `a` only exists if `a` and `m` are
coprime.
## Decryption

To find the MMI of `a`:
The decryption function is:

```text
D(y) = (a^-1)(y - b) mod m
```

`an mod m = 1`
- where `n` is the modular multiplicative inverse of `a mod m`
Where:

More information regarding how to find a Modular Multiplicative Inverse
and what it means can be found [here.](https://en.wikipedia.org/wiki/Modular_multiplicative_inverse)
- `y` is the numeric value of an encrypted letter, i.e., `y = E(x)`
- it is important to note that `a^-1` is the modular multiplicative inverse (MMI) of `a mod m`
- the modular multiplicative inverse only exists if `a` and `m` are coprime.

Because automatic decryption fails if `a` is not coprime to `m` your
program should return status 1 and `"Error: a and m must be coprime."`
if they are not. Otherwise it should encode or decode with the
provided key.
The MMI of `a` is `x` such that the remainder after dividing `ax` by `m` is `1`:

The Caesar (shift) cipher is a simple affine cipher where `a` is 1 and
`b` as the magnitude results in a static displacement of the letters.
This is much less secure than a full implementation of the affine cipher.
```text
ax mod m = 1
```

Ciphertext is written out in groups of fixed length, the traditional group
size being 5 letters, and punctuation is excluded. This is to make it
harder to guess things based on word boundaries.
More information regarding how to find a Modular Multiplicative Inverse and what it means can be found in the [related Wikipedia article][mmi].

## General Examples

- Encoding `test` gives `ybty` with the key a=5 b=7
- Decoding `ybty` gives `test` with the key a=5 b=7
- Decoding `ybty` gives `lqul` with the wrong key a=11 b=7
- Decoding `kqlfd jzvgy tpaet icdhm rtwly kqlon ubstx`
- gives `thequickbrownfoxjumpsoverthelazydog` with the key a=19 b=13
- Encoding `test` with the key a=18 b=13
- gives `Error: a and m must be coprime.`
- because a and m are not relatively prime

## Examples of finding a Modular Multiplicative Inverse (MMI)

- simple example:
- `9 mod 26 = 9`
- `9 * 3 mod 26 = 27 mod 26 = 1`
- `3` is the MMI of `9 mod 26`
- a more complicated example:
- `15 mod 26 = 15`
- `15 * 7 mod 26 = 105 mod 26 = 1`
- `7` is the MMI of `15 mod 26`
- Encrypting `"test"` gives `"ybty"` with the key `a = 5`, `b = 7`
- Decrypting `"ybty"` gives `"test"` with the key `a = 5`, `b = 7`
- Decrypting `"ybty"` gives `"lqul"` with the wrong key `a = 11`, `b = 7`
- Decrypting `"kqlfd jzvgy tpaet icdhm rtwly kqlon ubstx"` gives `"thequickbrownfoxjumpsoverthelazydog"` with the key `a = 19`, `b = 13`
- Encrypting `"test"` with the key `a = 18`, `b = 13` is an error because `18` and `26` are not coprime

## Example of finding a Modular Multiplicative Inverse (MMI)

Finding MMI for `a = 15`:

- `(15 * x) mod 26 = 1`
- `(15 * 7) mod 26 = 1`, ie. `105 mod 26 = 1`
- `7` is the MMI of `15 mod 26`

[mmi]: https://en.wikipedia.org/wiki/Modular_multiplicative_inverse
[coprime-integers]: https://en.wikipedia.org/wiki/Coprime_integers
2 changes: 1 addition & 1 deletion exercises/practice/affine-cipher/.meta/config.json
Original file line number Diff line number Diff line change
Expand Up @@ -24,5 +24,5 @@
},
"blurb": "Create an implementation of the Affine cipher, an ancient encryption algorithm from the Middle East.",
"source": "Wikipedia",
"source_url": "http://en.wikipedia.org/wiki/Affine_cipher"
"source_url": "https://en.wikipedia.org/wiki/Affine_cipher"
}
18 changes: 18 additions & 0 deletions exercises/practice/affine-cipher/.meta/test_template.tera
Original file line number Diff line number Diff line change
@@ -0,0 +1,18 @@
use affine_cipher::AffineCipherError::NotCoprime;
{% for test in cases %}
#[test]
{% if loop.index != 1 -%}
#[ignore]
{% endif -%}
fn {{ test.description | slugify | replace(from="-", to="_") }}() {
let phrase = {{ test.input.phrase | json_encode() }};
let (a, b) = ({{ test.input.key.a }}, {{ test.input.key.b }});
let output = {{ crate_name }}::{{ test.property }}(phrase, a, b);
let expected = {% if test.expected is object -%}
Err(NotCoprime({{ test.input.key.a }}))
{%- else -%}
Ok({{ test.expected | json_encode() }}.into())
{%- endif %};
assert_eq!(output, expected);
}
{% endfor -%}
140 changes: 81 additions & 59 deletions exercises/practice/affine-cipher/tests/affine-cipher.rs
Original file line number Diff line number Diff line change
@@ -1,138 +1,160 @@
use affine_cipher::*;
use affine_cipher::AffineCipherError::NotCoprime;

#[test]
fn encode_yes() {
assert_eq!(encode("yes", 5, 7).unwrap(), "xbt")
let phrase = "yes";
let (a, b) = (5, 7);
let output = affine_cipher::encode(phrase, a, b);
let expected = Ok("xbt".into());
assert_eq!(output, expected);
}

#[test]
#[ignore]
fn encode_no() {
assert_eq!(encode("no", 15, 18).unwrap(), "fu")
let phrase = "no";
let (a, b) = (15, 18);
let output = affine_cipher::encode(phrase, a, b);
let expected = Ok("fu".into());
assert_eq!(output, expected);
}

#[test]
#[ignore]
fn encode_omg() {
assert_eq!(encode("OMG", 21, 3).unwrap(), "lvz")
let phrase = "OMG";
let (a, b) = (21, 3);
let output = affine_cipher::encode(phrase, a, b);
let expected = Ok("lvz".into());
assert_eq!(output, expected);
}

#[test]
#[ignore]
fn encode_o_m_g() {
assert_eq!(encode("O M G", 25, 47).unwrap(), "hjp")
let phrase = "O M G";
let (a, b) = (25, 47);
let output = affine_cipher::encode(phrase, a, b);
let expected = Ok("hjp".into());
assert_eq!(output, expected);
}

#[test]
#[ignore]
fn encode_mindblowingly() {
assert_eq!(encode("mindblowingly", 11, 15).unwrap(), "rzcwa gnxzc dgt")
let phrase = "mindblowingly";
let (a, b) = (11, 15);
let output = affine_cipher::encode(phrase, a, b);
let expected = Ok("rzcwa gnxzc dgt".into());
assert_eq!(output, expected);
}

#[test]
#[ignore]
fn encode_numbers() {
assert_eq!(
encode("Testing,1 2 3, testing.", 3, 4).unwrap(),
"jqgjc rw123 jqgjc rw"
)
let phrase = "Testing,1 2 3, testing.";
let (a, b) = (3, 4);
let output = affine_cipher::encode(phrase, a, b);
let expected = Ok("jqgjc rw123 jqgjc rw".into());
assert_eq!(output, expected);
}

#[test]
#[ignore]
fn encode_deep_thought() {
assert_eq!(
encode("Truth is fiction", 5, 17).unwrap(),
"iynia fdqfb ifje"
)
let phrase = "Truth is fiction.";
let (a, b) = (5, 17);
let output = affine_cipher::encode(phrase, a, b);
let expected = Ok("iynia fdqfb ifje".into());
assert_eq!(output, expected);
}

#[test]
#[ignore]
fn encode_all_the_letters() {
assert_eq!(
encode("The quick brown fox jumps over the lazy dog.", 17, 33).unwrap(),
"swxtj npvyk lruol iejdc blaxk swxmh qzglf"
)
let phrase = "The quick brown fox jumps over the lazy dog.";
let (a, b) = (17, 33);
let output = affine_cipher::encode(phrase, a, b);
let expected = Ok("swxtj npvyk lruol iejdc blaxk swxmh qzglf".into());
assert_eq!(output, expected);
}

#[test]
#[ignore]
fn encode_with_a_not_coprime_to_m() {
const EXPECTED_ERROR: AffineCipherError = AffineCipherError::NotCoprime(6);
match encode("This is a test.", 6, 17) {
Err(EXPECTED_ERROR) => (),
Err(err) => panic!("Incorrect error: expected: {EXPECTED_ERROR:?}, actual: {err:?}."),
Ok(r) => panic!(
"Cannot encode/decode when a is coprime to m: expected: {EXPECTED_ERROR:?}, actual: {r:?}."
),
}
let phrase = "This is a test.";
let (a, b) = (6, 17);
let output = affine_cipher::encode(phrase, a, b);
let expected = Err(NotCoprime(6));
assert_eq!(output, expected);
}

#[test]
#[ignore]
fn decode_exercism() {
assert_eq!(decode("tytgn fjr", 3, 7).unwrap(), "exercism")
let phrase = "tytgn fjr";
let (a, b) = (3, 7);
let output = affine_cipher::decode(phrase, a, b);
let expected = Ok("exercism".into());
assert_eq!(output, expected);
}

#[test]
#[ignore]
fn decode_a_sentence() {
assert_eq!(
encode("anobstacleisoftenasteppingstone", 19, 16).unwrap(),
"qdwju nqcro muwhn odqun oppmd aunwd o"
);
assert_eq!(
decode("qdwju nqcro muwhn odqun oppmd aunwd o", 19, 16).unwrap(),
"anobstacleisoftenasteppingstone"
)
let phrase = "qdwju nqcro muwhn odqun oppmd aunwd o";
let (a, b) = (19, 16);
let output = affine_cipher::decode(phrase, a, b);
let expected = Ok("anobstacleisoftenasteppingstone".into());
assert_eq!(output, expected);
}

#[test]
#[ignore]
fn decode_numbers() {
assert_eq!(
decode("odpoz ub123 odpoz ub", 25, 7).unwrap(),
"testing123testing"
)
let phrase = "odpoz ub123 odpoz ub";
let (a, b) = (25, 7);
let output = affine_cipher::decode(phrase, a, b);
let expected = Ok("testing123testing".into());
assert_eq!(output, expected);
}

#[test]
#[ignore]
fn decode_all_the_letters() {
assert_eq!(
decode("swxtj npvyk lruol iejdc blaxk swxmh qzglf", 17, 33).unwrap(),
"thequickbrownfoxjumpsoverthelazydog"
)
let phrase = "swxtj npvyk lruol iejdc blaxk swxmh qzglf";
let (a, b) = (17, 33);
let output = affine_cipher::decode(phrase, a, b);
let expected = Ok("thequickbrownfoxjumpsoverthelazydog".into());
assert_eq!(output, expected);
}

#[test]
#[ignore]
fn decode_with_no_spaces_in_input() {
assert_eq!(
decode("swxtjnpvyklruoliejdcblaxkswxmhqzglf", 17, 33).unwrap(),
"thequickbrownfoxjumpsoverthelazydog"
)
let phrase = "swxtjnpvyklruoliejdcblaxkswxmhqzglf";
let (a, b) = (17, 33);
let output = affine_cipher::decode(phrase, a, b);
let expected = Ok("thequickbrownfoxjumpsoverthelazydog".into());
assert_eq!(output, expected);
}

#[test]
#[ignore]
fn decode_with_too_many_spaces() {
assert_eq!(
decode("vszzm cly yd cg qdp", 15, 16).unwrap(),
"jollygreengiant"
)
let phrase = "vszzm cly yd cg qdp";
let (a, b) = (15, 16);
let output = affine_cipher::decode(phrase, a, b);
let expected = Ok("jollygreengiant".into());
assert_eq!(output, expected);
}

#[test]
#[ignore]
fn decode_with_a_not_coprime_to_m() {
const EXPECTED_ERROR: AffineCipherError = AffineCipherError::NotCoprime(13);
match decode("Test", 13, 11) {
Err(EXPECTED_ERROR) => (),
Err(e) => panic!("Incorrect error: expected: {EXPECTED_ERROR:?}, actual: {e:?}."),
Ok(r) => panic!(
"Cannot encode/decode when a is coprime to m: expected: {EXPECTED_ERROR:?}, actual: {r:?}."
),
}
let phrase = "Test";
let (a, b) = (13, 5);
let output = affine_cipher::decode(phrase, a, b);
let expected = Err(NotCoprime(13));
assert_eq!(output, expected);
}
2 changes: 1 addition & 1 deletion problem-specifications
Submodule problem-specifications updated 47 files
+6 −3 .github/workflows/action-format.yml
+28 −10 .github/workflows/ci.yml
+1 −1 .github/workflows/rebase.yml
+1 −1 .github/workflows/shellcheck.yml
+2 −0 .lycheeignore
+1 −1 CODE_OF_CONDUCT.md
+1 −1 exercises/accumulate/metadata.toml
+5 −5 exercises/acronym/description.md
+2 −2 exercises/affine-cipher/description.md
+4 −4 exercises/all-your-base/description.md
+1 −1 exercises/allergies/description.md
+2 −2 exercises/armstrong-numbers/description.md
+0 −1 exercises/binary-search-tree/metadata.toml
+3 −3 exercises/binary-search/instructions.md
+1 −1 exercises/binary/description.md
+4 −4 exercises/book-store/description.md
+3 −3 exercises/bowling/description.md
+32 −16 exercises/circular-buffer/description.md
+0 −1 exercises/clock/metadata.toml
+2 −1 exercises/counter/description.md
+1 −1 exercises/dot-dsl/description.md
+2 −2 exercises/etl/instructions.md
+2 −2 exercises/gigasecond/introduction.md
+1 −1 exercises/isogram/description.md
+4 −1 exercises/knapsack/description.md
+2 −2 exercises/linked-list/instructions.md
+8 −8 exercises/list-ops/description.md
+1 −1 exercises/meetup/metadata.toml
+1 −1 exercises/octal/description.md
+2 −2 exercises/pangram/introduction.md
+2 −2 exercises/phone-number/description.md
+10 −10 exercises/protein-translation/description.md
+2 −2 exercises/rational-numbers/description.md
+6 −6 exercises/rest-api/description.md
+2 −2 exercises/rna-transcription/instructions.md
+2 −2 exercises/rna-transcription/introduction.md
+2 −2 exercises/rotational-cipher/description.md
+10 −10 exercises/scale-generator/description.md
+2 −2 exercises/secret-handshake/instructions.md
+2 −2 exercises/series/description.md
+1 −1 exercises/sgf-parsing/description.md
+2 −2 exercises/sieve/instructions.md
+2 −2 exercises/simple-linked-list/instructions.md
+1 −1 exercises/strain/metadata.toml
+1 −1 exercises/wordy/description.md
+16 −16 exercises/yacht/description.md
+2 −1 package.json

0 comments on commit ec5f981

Please sign in to comment.