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Add luhn (#127)
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* Add `luhn`

* Remove leading newline
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BNAndras authored Dec 15, 2024
1 parent 6b456e4 commit 7917890
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8 changes: 8 additions & 0 deletions config.json
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"prerequisites": [],
"difficulty": 2
},
{
"slug": "luhn",
"name": "Luhn",
"uuid": "b3694bc0-727b-4b48-b568-de39e8d2c4aa",
"practices": [],
"prerequisites": [],
"difficulty": 2
},
{
"slug": "nucleotide-count",
"name": "Nucleotide Count",
Expand Down
65 changes: 65 additions & 0 deletions exercises/practice/luhn/.docs/instructions.md
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# Instructions

Given a number determine whether or not it is valid per the Luhn formula.

The [Luhn algorithm][luhn] is a simple checksum formula used to validate a variety of identification numbers, such as credit card numbers and Canadian Social Insurance Numbers.

The task is to check if a given string is valid.

## Validating a Number

Strings of length 1 or less are not valid.
Spaces are allowed in the input, but they should be stripped before checking.
All other non-digit characters are disallowed.

### Example 1: valid credit card number

```text
4539 3195 0343 6467
```

The first step of the Luhn algorithm is to double every second digit, starting from the right.
We will be doubling

```text
4539 3195 0343 6467
↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ (double these)
```

If doubling the number results in a number greater than 9 then subtract 9 from the product.
The results of our doubling:

```text
8569 6195 0383 3437
```

Then sum all of the digits:

```text
8+5+6+9+6+1+9+5+0+3+8+3+3+4+3+7 = 80
```

If the sum is evenly divisible by 10, then the number is valid.
This number is valid!

### Example 2: invalid credit card number

```text
8273 1232 7352 0569
```

Double the second digits, starting from the right

```text
7253 2262 5312 0539
```

Sum the digits

```text
7+2+5+3+2+2+6+2+5+3+1+2+0+5+3+9 = 57
```

57 is not evenly divisible by 10, so this number is not valid.

[luhn]: https://en.wikipedia.org/wiki/Luhn_algorithm
19 changes: 19 additions & 0 deletions exercises/practice/luhn/.meta/config.json
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{
"authors": [
"BNAndras"
],
"files": {
"solution": [
"src/luhn.art"
],
"test": [
"tests/test-luhn.art"
],
"example": [
".meta/src/example.art"
]
},
"blurb": "Given a number determine whether or not it is valid per the Luhn formula.",
"source": "The Luhn Algorithm on Wikipedia",
"source_url": "https://en.wikipedia.org/wiki/Luhn_algorithm"
}
15 changes: 15 additions & 0 deletions exercises/practice/luhn/.meta/src/example.art
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luhn?: function [value][
cleaned: replace value " " ""
if 2 > size cleaned -> return false
if not? every? cleaned 'x -> between? x '0' '9' -> return false
sum: 0

sum: fold.seed:0.with:'i reverse cleaned [acc, x] [
n: to :integer to :string x
if odd? i -> n: n * 2
if n > 9 -> n: n - 9
acc + n
]

0 = sum % 10
]
76 changes: 76 additions & 0 deletions exercises/practice/luhn/.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.

[792a7082-feb7-48c7-b88b-bbfec160865e]
description = "single digit strings can not be valid"

[698a7924-64d4-4d89-8daa-32e1aadc271e]
description = "a single zero is invalid"

[73c2f62b-9b10-4c9f-9a04-83cee7367965]
description = "a simple valid SIN that remains valid if reversed"

[9369092e-b095-439f-948d-498bd076be11]
description = "a simple valid SIN that becomes invalid if reversed"

[8f9f2350-1faf-4008-ba84-85cbb93ffeca]
description = "a valid Canadian SIN"

[1cdcf269-6560-44fc-91f6-5819a7548737]
description = "invalid Canadian SIN"

[656c48c1-34e8-4e60-9a5a-aad8a367810a]
description = "invalid credit card"

[20e67fad-2121-43ed-99a8-14b5b856adb9]
description = "invalid long number with an even remainder"

[7e7c9fc1-d994-457c-811e-d390d52fba5e]
description = "invalid long number with a remainder divisible by 5"

[ad2a0c5f-84ed-4e5b-95da-6011d6f4f0aa]
description = "valid number with an even number of digits"

[ef081c06-a41f-4761-8492-385e13c8202d]
description = "valid number with an odd number of spaces"

[bef66f64-6100-4cbb-8f94-4c9713c5e5b2]
description = "valid strings with a non-digit added at the end become invalid"

[2177e225-9ce7-40f6-b55d-fa420e62938e]
description = "valid strings with punctuation included become invalid"

[ebf04f27-9698-45e1-9afe-7e0851d0fe8d]
description = "valid strings with symbols included become invalid"

[08195c5e-ce7f-422c-a5eb-3e45fece68ba]
description = "single zero with space is invalid"

[12e63a3c-f866-4a79-8c14-b359fc386091]
description = "more than a single zero is valid"

[ab56fa80-5de8-4735-8a4a-14dae588663e]
description = "input digit 9 is correctly converted to output digit 9"

[b9887ee8-8337-46c5-bc45-3bcab51bc36f]
description = "very long input is valid"

[8a7c0e24-85ea-4154-9cf1-c2db90eabc08]
description = "valid luhn with an odd number of digits and non zero first digit"

[39a06a5a-5bad-4e0f-b215-b042d46209b1]
description = "using ascii value for non-doubled non-digit isn't allowed"

[f94cf191-a62f-4868-bc72-7253114aa157]
description = "using ascii value for doubled non-digit isn't allowed"

[8b72ad26-c8be-49a2-b99c-bcc3bf631b33]
description = "non-numeric, non-space char in the middle with a sum that's divisible by 10 isn't allowed"
3 changes: 3 additions & 0 deletions exercises/practice/luhn/src/luhn.art
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luhn?: function [value][
panic "Please implement the luhn? function"
]
3 changes: 3 additions & 0 deletions exercises/practice/luhn/tester.art
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import {unitt}!

runTests.failFast findTests "tests"
114 changes: 114 additions & 0 deletions exercises/practice/luhn/tests/test-luhn.art
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import {unitt}!
import {src/luhn}!

suite "Luhn" [
test "single digit strings can not be valid" [
result: luhn? "1"
assert -> false = result
]

test.skip "a single zero is invalid" [
result: luhn? "0"
assert -> false = result
]

test.skip "a simple valid SIN that remains valid if reversed" [
result: luhn? "059"
assert -> true = result
]

test.skip "a simple valid SIN that becomes invalid if reversed" [
result: luhn? "59"
assert -> true = result
]

test.skip "a valid Canadian SIN" [
result: luhn? "055 444 285"
assert -> true = result
]

test.skip "invalid Canadian SIN" [
result: luhn? "055 444 286"
assert -> false = result
]

test.skip "invalid credit card" [
result: luhn? "8273 1232 7352 0569"
assert -> false = result
]

test.skip "invalid long number with an even remainder" [
result: luhn? "1 2345 6789 1234 5678 9012"
assert -> false = result
]

test.skip "invalid long number with a remainder divisible by 5" [
result: luhn? "1 2345 6789 1234 5678 9013"
assert -> false = result
]

test.skip "valid number with an even number of digits" [
result: luhn? "095 245 88"
assert -> true = result
]

test.skip "valid number with an odd number of spaces" [
result: luhn? "234 567 891 234"
assert -> true = result
]

test.skip "valid strings with a non-digit added at the end become invalid" [
result: luhn? "059a"
assert -> false = result
]

test.skip "valid strings with punctuation included become invalid" [
result: luhn? "055-444-285"
assert -> false = result
]

test.skip "valid strings with symbols included become invalid" [
result: luhn? "055# 444$ 285"
assert -> false = result
]

test.skip "single zero with space is invalid" [
result: luhn? " 0"
assert -> false = result
]

test.skip "more than a single zero is valid" [
result: luhn? "0000 0"
assert -> true = result
]

test.skip "input digit 9 is correctly converted to output digit 9" [
result: luhn? "091"
assert -> true = result
]

test.skip "very long input is valid" [
result: luhn? "9999999999 9999999999 9999999999 9999999999"
assert -> true = result
]

test.skip "valid luhn with an odd number of digits and non zero first digit" [
result: luhn? "109"
assert -> true = result
]

test.skip "using ascii value for non-doubled non-digit isn't allowed" [
result: luhn? "055b 444 285"
assert -> false = result
]

test.skip "using ascii value for doubled non-digit isn't allowed" [
result: luhn? ":9"
assert -> false = result
]

test.skip "non-numeric, non-space char in the middle with a sum that's divisible by 10 isn't allowed" [
result: luhn? "59%59"
assert -> false = result
]
]

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