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# Instructions | ||
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Write a function that returns the earned points in a single toss of a Darts game. | ||
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[Darts][darts] is a game where players throw darts at a [target][darts-target]. | ||
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In our particular instance of the game, the target rewards 4 different amounts of points, depending on where the dart lands: | ||
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![Our dart scoreboard with values from a complete miss to a bullseye](https://assets.exercism.org/images/exercises/darts/darts-scoreboard.svg) | ||
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- If the dart lands outside the target, player earns no points (0 points). | ||
- If the dart lands in the outer circle of the target, player earns 1 point. | ||
- If the dart lands in the middle circle of the target, player earns 5 points. | ||
- If the dart lands in the inner circle of the target, player earns 10 points. | ||
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The outer circle has a radius of 10 units (this is equivalent to the total radius for the entire target), the middle circle a radius of 5 units, and the inner circle a radius of 1. | ||
Of course, they are all centered at the same point — that is, the circles are [concentric][] defined by the coordinates (0, 0). | ||
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Write a function that given a point in the target (defined by its [Cartesian coordinates][cartesian-coordinates] `x` and `y`, where `x` and `y` are [real][real-numbers]), returns the correct amount earned by a dart landing at that point. | ||
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## Credit | ||
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The scoreboard image was created by [habere-et-dispertire][habere-et-dispertire] using [Inkscape][inkscape]. | ||
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[darts]: https://en.wikipedia.org/wiki/Darts | ||
[darts-target]: https://en.wikipedia.org/wiki/Darts#/media/File:Darts_in_a_dartboard.jpg | ||
[concentric]: https://mathworld.wolfram.com/ConcentricCircles.html | ||
[cartesian-coordinates]: https://www.mathsisfun.com/data/cartesian-coordinates.html | ||
[real-numbers]: https://www.mathsisfun.com/numbers/real-numbers.html | ||
[habere-et-dispertire]: https://exercism.org/profiles/habere-et-dispertire | ||
[inkscape]: https://en.wikipedia.org/wiki/Inkscape |
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{ | ||
"authors": [ | ||
"keiravillekode" | ||
], | ||
"files": { | ||
"solution": [ | ||
"darts.sml" | ||
], | ||
"test": [ | ||
"test.sml" | ||
], | ||
"example": [ | ||
".meta/example.sml" | ||
] | ||
}, | ||
"blurb": "Write a function that returns the earned points in a single toss of a Darts game.", | ||
"source": "Inspired by an exercise created by a professor Della Paolera in Argentina" | ||
} |
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fun score (x: real, y: real): int = | ||
let | ||
val r = Math.sqrt(x * x + y * y) | ||
in | ||
if r <= 1.0 then 10 | ||
else if r <= 5.0 then 5 | ||
else if r <= 10.0 then 1 | ||
else 0 | ||
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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[9033f731-0a3a-4d9c-b1c0-34a1c8362afb] | ||
description = "Missed target" | ||
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[4c9f6ff4-c489-45fd-be8a-1fcb08b4d0ba] | ||
description = "On the outer circle" | ||
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[14378687-ee58-4c9b-a323-b089d5274be8] | ||
description = "On the middle circle" | ||
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[849e2e63-85bd-4fed-bc3b-781ae962e2c9] | ||
description = "On the inner circle" | ||
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[1c5ffd9f-ea66-462f-9f06-a1303de5a226] | ||
description = "Exactly on center" | ||
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[b65abce3-a679-4550-8115-4b74bda06088] | ||
description = "Near the center" | ||
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[66c29c1d-44f5-40cf-9927-e09a1305b399] | ||
description = "Just within the inner circle" | ||
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[d1012f63-c97c-4394-b944-7beb3d0b141a] | ||
description = "Just outside the inner circle" | ||
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[ab2b5666-b0b4-49c3-9b27-205e790ed945] | ||
description = "Just within the middle circle" | ||
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[70f1424e-d690-4860-8caf-9740a52c0161] | ||
description = "Just outside the middle circle" | ||
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[a7dbf8db-419c-4712-8a7f-67602b69b293] | ||
description = "Just within the outer circle" | ||
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[e0f39315-9f9a-4546-96e4-a9475b885aa7] | ||
description = "Just outside the outer circle" | ||
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[045d7d18-d863-4229-818e-b50828c75d19] | ||
description = "Asymmetric position between the inner and middle circles" |
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fun score (x: int, y: int): int = | ||
raise Fail "'score' is not implemented" |
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(* version 1.0.0 *) | ||
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use "testlib.sml"; | ||
use "darts.sml"; | ||
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infixr |> | ||
fun x |> f = f x | ||
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val testsuite = | ||
describe "darts" [ | ||
test "Missed target" | ||
(fn _ => score (~9.0, 9.0) |> Expect.equalTo 0), | ||
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test "On the outer circle" | ||
(fn _ => score (0.0, 10.0) |> Expect.equalTo 1), | ||
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test "On the middle circle" | ||
(fn _ => score (~5.0, 0.0) |> Expect.equalTo 5), | ||
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test "On the inner circle" | ||
(fn _ => score (0.0, ~1.0) |> Expect.equalTo 10), | ||
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test "Exactly on center" | ||
(fn _ => score (0.0, 0.0) |> Expect.equalTo 10), | ||
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test "Near the center" | ||
(fn _ => score (~0.1, ~0.1) |> Expect.equalTo 10), | ||
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test "Just within the inner circle" | ||
(fn _ => score (0.7, 0.7) |> Expect.equalTo 10), | ||
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test "Just outside the inner circle" | ||
(fn _ => score (0.8, ~0.8) |> Expect.equalTo 5), | ||
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test "Just within the middle circle" | ||
(fn _ => score (~3.5, 3.5) |> Expect.equalTo 5), | ||
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test "Just outside the middle circle" | ||
(fn _ => score (~3.6, ~3.6) |> Expect.equalTo 1), | ||
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test "Just within the outer circle" | ||
(fn _ => score (~7.0, 7.0) |> Expect.equalTo 1), | ||
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test "Just outside the outer circle" | ||
(fn _ => score (7.1, ~7.1) |> Expect.equalTo 0), | ||
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test "Asymmetric position between the inner and middle circles" | ||
(fn _ => score (0.5, ~4.0) |> Expect.equalTo 5) | ||
] | ||
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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) |