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# Instructions | ||
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The [ISBN-10 verification process][isbn-verification] is used to validate book identification numbers. | ||
These normally contain dashes and look like: `3-598-21508-8` | ||
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## ISBN | ||
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The ISBN-10 format is 9 digits (0 to 9) plus one check character (either a digit or an X only). | ||
In the case the check character is an X, this represents the value '10'. | ||
These may be communicated with or without hyphens, and can be checked for their validity by the following formula: | ||
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```text | ||
(d₁ * 10 + d₂ * 9 + d₃ * 8 + d₄ * 7 + d₅ * 6 + d₆ * 5 + d₇ * 4 + d₈ * 3 + d₉ * 2 + d₁₀ * 1) mod 11 == 0 | ||
``` | ||
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If the result is 0, then it is a valid ISBN-10, otherwise it is invalid. | ||
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## Example | ||
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Let's take the ISBN-10 `3-598-21508-8`. | ||
We plug it in to the formula, and get: | ||
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```text | ||
(3 * 10 + 5 * 9 + 9 * 8 + 8 * 7 + 2 * 6 + 1 * 5 + 5 * 4 + 0 * 3 + 8 * 2 + 8 * 1) mod 11 == 0 | ||
``` | ||
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Since the result is 0, this proves that our ISBN is valid. | ||
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## Task | ||
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Given a string the program should check if the provided string is a valid ISBN-10. | ||
Putting this into place requires some thinking about preprocessing/parsing of the string prior to calculating the check digit for the ISBN. | ||
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The program should be able to verify ISBN-10 both with and without separating dashes. | ||
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## Caveats | ||
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Converting from strings to numbers can be tricky in certain languages. | ||
Now, it's even trickier since the check digit of an ISBN-10 may be 'X' (representing '10'). | ||
For instance `3-598-21507-X` is a valid ISBN-10. | ||
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[isbn-verification]: https://en.wikipedia.org/wiki/International_Standard_Book_Number |
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{ | ||
"authors": [ | ||
"keiravillekode" | ||
], | ||
"files": { | ||
"solution": [ | ||
"src/IsbnVerifier.idr" | ||
], | ||
"test": [ | ||
"test/src/Main.idr" | ||
], | ||
"example": [ | ||
"example/IsbnVerifier.idr" | ||
] | ||
}, | ||
"blurb": "Check if a given string is a valid ISBN-10 number.", | ||
"source": "Converting a string into a number and some basic processing utilizing a relatable real world example.", | ||
"source_url": "https://en.wikipedia.org/wiki/International_Standard_Book_Number#ISBN-10_check_digit_calculation" | ||
} |
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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. | ||
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[0caa3eac-d2e3-4c29-8df8-b188bc8c9292] | ||
description = "valid isbn" | ||
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[19f76b53-7c24-45f8-87b8-4604d0ccd248] | ||
description = "invalid isbn check digit" | ||
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[4164bfee-fb0a-4a1c-9f70-64c6a1903dcd] | ||
description = "valid isbn with a check digit of 10" | ||
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[3ed50db1-8982-4423-a993-93174a20825c] | ||
description = "check digit is a character other than X" | ||
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[9416f4a5-fe01-4b61-a07b-eb75892ef562] | ||
description = "invalid check digit in isbn is not treated as zero" | ||
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[c19ba0c4-014f-4dc3-a63f-ff9aefc9b5ec] | ||
description = "invalid character in isbn is not treated as zero" | ||
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[28025280-2c39-4092-9719-f3234b89c627] | ||
description = "X is only valid as a check digit" | ||
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[f6294e61-7e79-46b3-977b-f48789a4945b] | ||
description = "valid isbn without separating dashes" | ||
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[185ab99b-3a1b-45f3-aeec-b80d80b07f0b] | ||
description = "isbn without separating dashes and X as check digit" | ||
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[7725a837-ec8e-4528-a92a-d981dd8cf3e2] | ||
description = "isbn without check digit and dashes" | ||
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[47e4dfba-9c20-46ed-9958-4d3190630bdf] | ||
description = "too long isbn and no dashes" | ||
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[737f4e91-cbba-4175-95bf-ae630b41fb60] | ||
description = "too short isbn" | ||
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[5458a128-a9b6-4ff8-8afb-674e74567cef] | ||
description = "isbn without check digit" | ||
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[70b6ad83-d0a2-4ca7-a4d5-a9ab731800f7] | ||
description = "check digit of X should not be used for 0" | ||
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[94610459-55ab-4c35-9b93-ff6ea1a8e562] | ||
description = "empty isbn" | ||
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[7bff28d4-d770-48cc-80d6-b20b3a0fb46c] | ||
description = "input is 9 characters" | ||
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[ed6e8d1b-382c-4081-8326-8b772c581fec] | ||
description = "invalid characters are not ignored after checking length" | ||
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[daad3e58-ce00-4395-8a8e-e3eded1cdc86] | ||
description = "invalid characters are not ignored before checking length" | ||
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[fb5e48d8-7c03-4bfb-a088-b101df16fdc3] | ||
description = "input is too long but contains a valid isbn" |
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module IsbnVerifier | ||
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export | ||
isValid : String -> Bool | ||
isValid = loop 10 0 0 . filter (\x => x /= '-') . unpack | ||
where loop : Int -> Int -> Int -> List Char -> Bool | ||
loop remaining unweighted weighted [] = (remaining == 0) && (mod weighted 11 == 0) | ||
loop remaining unweighted weighted (x :: xs) = if (x >= '0') && (x <= '9') then process (cast (ord x) - 48) | ||
else remaining == 1 && x == 'X' && process 10 | ||
where process : Int -> Bool | ||
process value = loop (remaining - 1) (unweighted + value) (weighted + unweighted + value) xs |
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package isbn-verifier | ||
modules = IsbnVerifier | ||
sourcedir = "src" |
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[custom.all.isbn-verifier] | ||
type = "local" | ||
path = "." | ||
ipkg = "isbn-verifier.ipkg" | ||
test = "test/test.ipkg" | ||
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[custom.all.isbn-verifier-test] | ||
type = "local" | ||
path = "test" | ||
ipkg = "test.ipkg" |
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module IsbnVerifier | ||
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export | ||
isValid : String -> Bool | ||
isValid value = ?isValid_rhs | ||
|
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module Main | ||
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import System | ||
import Tester | ||
import Tester.Runner | ||
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import IsbnVerifier | ||
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tests : List Test | ||
tests = | ||
[ test "valid isbn" (assert $ isValid "3-598-21508-8") | ||
, test "invalid isbn check digit" (assert $ not $ isValid "3-598-21508-9") | ||
, test "valid isbn with a check digit of 10" (assert $ isValid "3-598-21507-X") | ||
, test "check digit is a character other than X" (assert $ not $ isValid "3-598-21507-A") | ||
, test "invalid check digit in isbn is not treated as zero" (assert $ not $ isValid "4-598-21507-B") | ||
, test "invalid character in isbn is not treated as zero" (assert $ not $ isValid "3-598-P1581-X") | ||
, test "X is only valid as a check digit" (assert $ not $ isValid "3-598-2X507-9") | ||
, test "valid isbn without separating dashes" (assert $ isValid "3598215088") | ||
, test "isbn without separating dashes and X as check digit" (assert $ isValid "359821507X") | ||
, test "isbn without check digit and dashes" (assert $ not $ isValid "359821507") | ||
, test "too long isbn and no dashes" (assert $ not $ isValid "3598215078X") | ||
, test "too short isbn" (assert $ not $ isValid "00") | ||
, test "isbn without check digit" (assert $ not $ isValid "3-598-21507") | ||
, test "check digit of X should not be used for 0" (assert $ not $ isValid "3-598-21515-X") | ||
, test "empty isbn" (assert $ not $ isValid "") | ||
, test "input is 9 characters" (assert $ not $ isValid "134456729") | ||
, test "invalid characters are not ignored after checking length" (assert $ not $ isValid "3132P34035") | ||
, test "invalid characters are not ignored before checking length" (assert $ not $ isValid "3598P215088") | ||
, test "input is too long but contains a valid isbn" (assert $ not $ isValid "98245726788") | ||
] | ||
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export | ||
main : IO () | ||
main = do | ||
success <- runTests tests | ||
if success | ||
then putStrLn "All tests passed" | ||
else exitFailure |
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package isbn-verifier-test | ||
depends = isbn-verifier | ||
, tester | ||
main = Main | ||
executable = "isbn-verifier-test" | ||
sourcedir = "src" |
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def generate_test(case): | ||
property = "isValid" | ||
isbn = case["input"]["isbn"] | ||
expected = case["expected"] | ||
if expected: | ||
prefix = "assert $ " | ||
else: | ||
prefix = "assert $ not $" | ||
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return f'{prefix} {property} "{isbn}"' |