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# Instructions | ||
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Given the position of two queens on a chess board, indicate whether or not they are positioned so that they can attack each other. | ||
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In the game of chess, a queen can attack pieces which are on the same row, column, or diagonal. | ||
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A chessboard can be represented by an 8 by 8 array. | ||
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So if you are told the white queen is at `c5` (zero-indexed at column 2, row 3) and the black queen at `f2` (zero-indexed at column 5, row 6), then you know that the set-up is like so: | ||
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![A chess board with two queens. Arrows emanating from the queen at c5 indicate possible directions of capture along file, rank and diagonal.](https://assets.exercism.org/images/exercises/queen-attack/queen-capture.svg) | ||
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You are also able to answer whether the queens can attack each other. | ||
In this case, that answer would be yes, they can, because both pieces share a diagonal. | ||
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## Credit | ||
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The chessboard image was made by [habere-et-dispertire][habere-et-dispertire] using LaTeX and the [chessboard package][chessboard-package] by Ulrike Fischer. | ||
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[habere-et-dispertire]: https://exercism.org/profiles/habere-et-dispertire | ||
[chessboard-package]: https://github.com/u-fischer/chessboard |
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{ | ||
"authors": [ | ||
"keiravillekode" | ||
], | ||
"files": { | ||
"solution": [ | ||
"queen-attack.sml" | ||
], | ||
"test": [ | ||
"test.sml" | ||
], | ||
"example": [ | ||
".meta/example.sml" | ||
] | ||
}, | ||
"blurb": "Given the position of two queens on a chess board, indicate whether or not they are positioned so that they can attack each other.", | ||
"source": "J Dalbey's Programming Practice problems", | ||
"source_url": "https://users.csc.calpoly.edu/~jdalbey/103/Projects/ProgrammingPractice.html" | ||
} |
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fun create (row: int, column: int) = | ||
if row < 0 then raise Fail "row not positive" | ||
else if row > 7 then raise Fail "row not on board" | ||
else if column < 0 then raise Fail "column not positive" | ||
else if column > 7 then raise Fail "column not on board" | ||
else (row, column) | ||
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fun canAttack whiteQueen blackQueen: bool = | ||
let | ||
val (r1, c1) = whiteQueen | ||
val (r2, c2) = blackQueen | ||
val dr = r2 - r1 | ||
val dc = c2 - c1 | ||
in | ||
dr = 0 orelse dc = 0 orelse dr = dc orelse dr + dc = 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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[3ac4f735-d36c-44c4-a3e2-316f79704203] | ||
description = "Test creation of Queens with valid and invalid positions -> queen with a valid position" | ||
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[4e812d5d-b974-4e38-9a6b-8e0492bfa7be] | ||
description = "Test creation of Queens with valid and invalid positions -> queen must have positive row" | ||
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[f07b7536-b66b-4f08-beb9-4d70d891d5c8] | ||
description = "Test creation of Queens with valid and invalid positions -> queen must have row on board" | ||
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[15a10794-36d9-4907-ae6b-e5a0d4c54ebe] | ||
description = "Test creation of Queens with valid and invalid positions -> queen must have positive column" | ||
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[6907762d-0e8a-4c38-87fb-12f2f65f0ce4] | ||
description = "Test creation of Queens with valid and invalid positions -> queen must have column on board" | ||
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[33ae4113-d237-42ee-bac1-e1e699c0c007] | ||
description = "Test the ability of one queen to attack another -> cannot attack" | ||
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[eaa65540-ea7c-4152-8c21-003c7a68c914] | ||
description = "Test the ability of one queen to attack another -> can attack on same row" | ||
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[bae6f609-2c0e-4154-af71-af82b7c31cea] | ||
description = "Test the ability of one queen to attack another -> can attack on same column" | ||
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[0e1b4139-b90d-4562-bd58-dfa04f1746c7] | ||
description = "Test the ability of one queen to attack another -> can attack on first diagonal" | ||
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[ff9b7ed4-e4b6-401b-8d16-bc894d6d3dcd] | ||
description = "Test the ability of one queen to attack another -> can attack on second diagonal" | ||
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[0a71e605-6e28-4cc2-aa47-d20a2e71037a] | ||
description = "Test the ability of one queen to attack another -> can attack on third diagonal" | ||
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[0790b588-ae73-4f1f-a968-dd0b34f45f86] | ||
description = "Test the ability of one queen to attack another -> can attack on fourth diagonal" | ||
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[543f8fd4-2597-4aad-8d77-cbdab63619f8] | ||
description = "Test the ability of one queen to attack another -> cannot attack if falling diagonals are only the same when reflected across the longest falling diagonal" |
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fun create (row: int, column: int) = | ||
raise Fail "'create' is not implemented" | ||
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fun canAttack whiteQueen blackQueen: bool = | ||
raise Fail "'canAttack' is not implemented" |
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(* version 1.0.0 *) | ||
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use "testlib.sml"; | ||
use "queen-attack.sml"; | ||
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infixr |> | ||
fun x |> f = f x | ||
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val testsuite = | ||
describe "queen-attack" [ | ||
describe "Test creation of Queens with valid and invalid positions" [ | ||
test "queen with a valid position" | ||
(fn _ => create (2, 2) |> Expect.equalTo (create (2, 2))), | ||
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test "queen must have positive row" | ||
(fn _ => (fn _ => create (~2, 2)) |> Expect.error (Fail "row not positive")), | ||
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test "queen must have row on board" | ||
(fn _ => (fn _ => create (8, 4)) |> Expect.error (Fail "row not on board")), | ||
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test "queen must have positive column" | ||
(fn _ => (fn _ => create (2, ~2)) |> Expect.error (Fail "column not positive")), | ||
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test "queen must have column on board" | ||
(fn _ => (fn _ => create (4, 8)) |> Expect.error (Fail "column not on board")) | ||
], | ||
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describe "Test the ability of one queen to attack another" [ | ||
test "cannot attack" | ||
(fn _ => canAttack (create (2, 4)) (create (6, 6)) |> Expect.falsy), | ||
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test "can attack on same row" | ||
(fn _ => canAttack (create (2, 4)) (create (2, 6)) |> Expect.truthy), | ||
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test "can attack on same column" | ||
(fn _ => canAttack (create (4, 5)) (create (2, 5)) |> Expect.truthy), | ||
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test "can attack on first diagonal" | ||
(fn _ => canAttack (create (2, 2)) (create (0, 4)) |> Expect.truthy), | ||
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test "can attack on second diagonal" | ||
(fn _ => canAttack (create (2, 2)) (create (3, 1)) |> Expect.truthy), | ||
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test "can attack on third diagonal" | ||
(fn _ => canAttack (create (2, 2)) (create (1, 1)) |> Expect.truthy), | ||
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test "can attack on fourth diagonal" | ||
(fn _ => canAttack (create (1, 7)) (create (0, 6)) |> Expect.truthy), | ||
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test "cannot attack if falling diagonals are only the same when reflected across the longest falling diagonal" | ||
(fn _ => canAttack (create (4, 1)) (create (2, 5)) |> 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) |