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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": [ | ||
"isbn-verifier.sml" | ||
], | ||
"test": [ | ||
"test.sml" | ||
], | ||
"example": [ | ||
".meta/example.sml" | ||
] | ||
}, | ||
"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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val isValid: string -> bool = | ||
let | ||
fun digitValue (c: char): int = | ||
Char.ord c - Char.ord #"0" | ||
val excludeHyphens: char list -> char list = | ||
List.filter (fn c => c <> #"-") | ||
fun recurse (weight: int) (total: int) (l: char list): bool = | ||
case (weight, l) of | ||
(0, nil) => total mod 11 = 0 | ||
| (_, nil) => false | ||
| (1, #"X" :: nil) => total mod 11 = 1 | ||
| (_, c :: rest) => Char.isDigit c andalso recurse (weight - 1) (total + weight * (digitValue c)) rest | ||
in | ||
recurse 10 0 o excludeHyphens o String.explode | ||
end |
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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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fun isValid (isbn: string): bool = | ||
raise Fail "'isValid' is not implemented" |
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(* version 1.0.0 *) | ||
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use "testlib.sml"; | ||
use "isbn-verifier.sml"; | ||
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infixr |> | ||
fun x |> f = f x | ||
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val testsuite = | ||
describe "isbn-verifier" [ | ||
test "valid isbn" | ||
(fn _ => isValid "3-598-21508-8" |> Expect.truthy), | ||
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test "invalid isbn check digit" | ||
(fn _ => isValid "3-598-21508-9" |> Expect.falsy), | ||
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test "valid isbn with a check digit of 10" | ||
(fn _ => isValid "3-598-21507-X" |> Expect.truthy), | ||
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test "check digit is a character other than X" | ||
(fn _ => isValid "3-598-21507-A" |> Expect.falsy), | ||
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test "invalid check digit in isbn is not treated as zero" | ||
(fn _ => isValid "4-598-21507-B" |> Expect.falsy), | ||
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test "invalid character in isbn is not treated as zero" | ||
(fn _ => isValid "3-598-P1581-X" |> Expect.falsy), | ||
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test "X is only valid as a check digit" | ||
(fn _ => isValid "3-598-2X507-9" |> Expect.falsy), | ||
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test "valid isbn without separating dashes" | ||
(fn _ => isValid "3598215088" |> Expect.truthy), | ||
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test "isbn without separating dashes and X as check digit" | ||
(fn _ => isValid "359821507X" |> Expect.truthy), | ||
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test "isbn without check digit and dashes" | ||
(fn _ => isValid "359821507" |> Expect.falsy), | ||
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test "too long isbn and no dashes" | ||
(fn _ => isValid "3598215078X" |> Expect.falsy), | ||
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test "too short isbn" | ||
(fn _ => isValid "00" |> Expect.falsy), | ||
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test "isbn without check digit" | ||
(fn _ => isValid "3-598-21507" |> Expect.falsy), | ||
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test "check digit of X should not be used for 0" | ||
(fn _ => isValid "3-598-21515-X" |> Expect.falsy), | ||
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test "empty isbn" | ||
(fn _ => isValid "" |> Expect.falsy), | ||
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test "input is 9 characters" | ||
(fn _ => isValid "134456729" |> Expect.falsy), | ||
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test "invalid characters are not ignored after checking length" | ||
(fn _ => isValid "3132P34035" |> Expect.falsy), | ||
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test "invalid characters are not ignored before checking length" | ||
(fn _ => isValid "3598P215088" |> Expect.falsy), | ||
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test "input is too long but contains a valid isbn" | ||
(fn _ => isValid "98245726788" |> Expect.falsy) | ||
] | ||
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val _ = Test.run testsuite |
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structure Expect = | ||
struct | ||
datatype expectation = Pass | Fail of string * string | ||
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local | ||
fun failEq b a = | ||
Fail ("Expected: " ^ b, "Got: " ^ a) | ||
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fun failExn b a = | ||
Fail ("Expected: " ^ b, "Raised: " ^ a) | ||
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fun exnName (e: exn): string = General.exnName e | ||
in | ||
fun truthy a = | ||
if a | ||
then Pass | ||
else failEq "true" "false" | ||
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fun falsy a = | ||
if a | ||
then failEq "false" "true" | ||
else Pass | ||
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fun equalTo b a = | ||
if a = b | ||
then Pass | ||
else failEq (PolyML.makestring b) (PolyML.makestring a) | ||
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fun nearTo delta b a = | ||
if Real.abs (a - b) <= delta * Real.abs a orelse | ||
Real.abs (a - b) <= delta * Real.abs b | ||
then Pass | ||
else failEq (Real.toString b ^ " +/- " ^ Real.toString delta) (Real.toString a) | ||
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fun anyError f = | ||
( | ||
f (); | ||
failExn "an exception" "Nothing" | ||
) handle _ => Pass | ||
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fun error e f = | ||
( | ||
f (); | ||
failExn (exnName e) "Nothing" | ||
) handle e' => if exnMessage e' = exnMessage e | ||
then Pass | ||
else failExn (exnMessage e) (exnMessage e') | ||
end | ||
end | ||
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structure TermColor = | ||
struct | ||
datatype color = Red | Green | Yellow | Normal | ||
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fun f Red = "\027[31m" | ||
| f Green = "\027[32m" | ||
| f Yellow = "\027[33m" | ||
| f Normal = "\027[0m" | ||
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fun colorize color s = (f color) ^ s ^ (f Normal) | ||
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val redit = colorize Red | ||
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val greenit = colorize Green | ||
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val yellowit = colorize Yellow | ||
end | ||
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structure Test = | ||
struct | ||
datatype testnode = TestGroup of string * testnode list | ||
| Test of string * (unit -> Expect.expectation) | ||
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local | ||
datatype evaluation = Success of string | ||
| Failure of string * string * string | ||
| Error of string * string | ||
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fun indent n s = (implode (List.tabulate (n, fn _ => #" "))) ^ s | ||
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fun fmt indentlvl ev = | ||
let | ||
val check = TermColor.greenit "\226\156\148 " (* ✔ *) | ||
val cross = TermColor.redit "\226\156\150 " (* ✖ *) | ||
val indentlvl = indentlvl * 2 | ||
in | ||
case ev of | ||
Success descr => indent indentlvl (check ^ descr) | ||
| Failure (descr, exp, got) => | ||
String.concatWith "\n" [indent indentlvl (cross ^ descr), | ||
indent (indentlvl + 2) exp, | ||
indent (indentlvl + 2) got] | ||
| Error (descr, reason) => | ||
String.concatWith "\n" [indent indentlvl (cross ^ descr), | ||
indent (indentlvl + 2) (TermColor.redit reason)] | ||
end | ||
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fun eval (TestGroup _) = raise Fail "Only a 'Test' can be evaluated" | ||
| eval (Test (descr, thunk)) = | ||
( | ||
case thunk () of | ||
Expect.Pass => ((1, 0, 0), Success descr) | ||
| Expect.Fail (s, s') => ((0, 1, 0), Failure (descr, s, s')) | ||
) | ||
handle e => ((0, 0, 1), Error (descr, "Unexpected error: " ^ exnMessage e)) | ||
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fun flatten depth testnode = | ||
let | ||
fun sum (x, y, z) (a, b, c) = (x + a, y + b, z + c) | ||
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fun aux (t, (counter, acc)) = | ||
let | ||
val (counter', texts) = flatten (depth + 1) t | ||
in | ||
(sum counter' counter, texts :: acc) | ||
end | ||
in | ||
case testnode of | ||
TestGroup (descr, ts) => | ||
let | ||
val (counter, texts) = foldr aux ((0, 0, 0), []) ts | ||
in | ||
(counter, (indent (depth * 2) descr) :: List.concat texts) | ||
end | ||
| Test _ => | ||
let | ||
val (counter, evaluation) = eval testnode | ||
in | ||
(counter, [fmt depth evaluation]) | ||
end | ||
end | ||
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fun println s = print (s ^ "\n") | ||
in | ||
fun run suite = | ||
let | ||
val ((succeeded, failed, errored), texts) = flatten 0 suite | ||
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val summary = String.concatWith ", " [ | ||
TermColor.greenit ((Int.toString succeeded) ^ " passed"), | ||
TermColor.redit ((Int.toString failed) ^ " failed"), | ||
TermColor.redit ((Int.toString errored) ^ " errored"), | ||
(Int.toString (succeeded + failed + errored)) ^ " total" | ||
] | ||
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val status = if failed = 0 andalso errored = 0 | ||
then OS.Process.success | ||
else OS.Process.failure | ||
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in | ||
List.app println texts; | ||
println ""; | ||
println ("Tests: " ^ summary); | ||
OS.Process.exit status | ||
end | ||
end | ||
end | ||
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fun describe description tests = Test.TestGroup (description, tests) | ||
fun test description thunk = Test.Test (description, thunk) |