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Co-authored-by: Isaac Van Doren <69181572+isaacvando@users.noreply.github.com>
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# Instructions | ||
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Score a bowling game. | ||
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Bowling is a game where players roll a heavy ball to knock down pins arranged in a triangle. | ||
Write code to keep track of the score of a game of bowling. | ||
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## Scoring Bowling | ||
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The game consists of 10 frames. | ||
A frame is composed of one or two ball throws with 10 pins standing at frame initialization. | ||
There are three cases for the tabulation of a frame. | ||
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- An open frame is where a score of less than 10 is recorded for the frame. | ||
In this case the score for the frame is the number of pins knocked down. | ||
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- A spare is where all ten pins are knocked down by the second throw. | ||
The total value of a spare is 10 plus the number of pins knocked down in their next throw. | ||
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- A strike is where all ten pins are knocked down by the first throw. | ||
The total value of a strike is 10 plus the number of pins knocked down in the next two throws. | ||
If a strike is immediately followed by a second strike, then the value of the first strike cannot be determined until the ball is thrown one more time. | ||
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Here is a three frame example: | ||
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| Frame 1 | Frame 2 | Frame 3 | | ||
| :--------: | :--------: | :--------------: | | ||
| X (strike) | 5/ (spare) | 9 0 (open frame) | | ||
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Frame 1 is (10 + 5 + 5) = 20 | ||
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Frame 2 is (5 + 5 + 9) = 19 | ||
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Frame 3 is (9 + 0) = 9 | ||
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This means the current running total is 48. | ||
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The tenth frame in the game is a special case. | ||
If someone throws a spare or a strike then they get one or two fill balls respectively. | ||
Fill balls exist to calculate the total of the 10th frame. | ||
Scoring a strike or spare on the fill ball does not give the player more fill balls. | ||
The total value of the 10th frame is the total number of pins knocked down. | ||
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For a tenth frame of X1/ (strike and a spare), the total value is 20. | ||
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For a tenth frame of XXX (three strikes), the total value is 30. | ||
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## Requirements | ||
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Write code to keep track of the score of a game of bowling. | ||
It should support two operations: | ||
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- `roll(pins : int)` is called each time the player rolls a ball. | ||
The argument is the number of pins knocked down. | ||
- `score() : int` is called only at the very end of the game. | ||
It returns the total score for that game. |
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module [Game, create, roll, score] | ||
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Frame : [ | ||
Ball1 U64, # unfinished frame | ||
Ball2 U64 U64, | ||
Spare U64 U64, | ||
Strike, | ||
SpareFill U64, | ||
StrikeFill1 U64, # unfinished frame | ||
StrikeFill2 U64 U64, | ||
] | ||
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Game := { frames : List Frame } | ||
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create : { previousRolls ? List U64 } -> Result Game [MoreThan10Pins, GameOver] | ||
create = \{ previousRolls ? [] } -> | ||
List.walkTry previousRolls (@Game { frames: [] }) \game, pins -> | ||
roll game pins | ||
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checkMax10Pins : Frame, U64 -> Result {} [MoreThan10Pins, GameOver] | ||
checkMax10Pins = \lastFrame, pins -> | ||
when lastFrame is | ||
Ball1 pins1 -> if pins1 + pins > 10 then Err MoreThan10Pins else Ok {} | ||
StrikeFill1 pins1 -> | ||
if pins > 10 || (pins1 < 10 && pins1 + pins > 10) then Err MoreThan10Pins else Ok {} | ||
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Ball2 _ _ | Spare _ _ | Strike -> if pins > 10 then Err MoreThan10Pins else Ok {} | ||
SpareFill _ | StrikeFill2 _ _ -> Err GameOver | ||
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isOver : Game -> Bool | ||
isOver = \@Game { frames } -> | ||
when frames is | ||
_ if List.len frames < 10 -> Bool.false | ||
[.., Ball1 _] | [.., Spare _ _] | [.., Strike] | [.., StrikeFill1 _] -> Bool.false | ||
[.., Ball2 _ _] | [.., SpareFill _] | [.., StrikeFill2 _ _] -> Bool.true | ||
_ -> Bool.false | ||
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roll : Game, U64 -> Result Game [MoreThan10Pins, GameOver] | ||
roll = \@Game { frames }, pins -> | ||
if @Game { frames } |> isOver then | ||
Err GameOver | ||
else | ||
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lastFrame = frames |> List.last |> Result.withDefault (Ball2 0 0) | ||
checkMax10Pins? lastFrame pins | ||
updatedFrames = | ||
when lastFrame is | ||
Ball1 pins1 -> | ||
frames | ||
|> List.dropLast 1 | ||
|> List.append | ||
( | ||
if pins1 + pins == 10 then | ||
Spare pins1 pins | ||
else | ||
Ball2 pins1 pins | ||
) | ||
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StrikeFill1 pins1 -> | ||
frames |> List.dropLast 1 |> List.append (StrikeFill2 pins1 pins) | ||
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Ball2 _ _ | Spare _ _ | Strike if List.len frames < 10 -> | ||
if pins == 10 then | ||
frames |> List.append Strike | ||
else | ||
frames |> List.append (Ball1 pins) | ||
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Spare _ _ -> | ||
frames |> List.append (SpareFill pins) | ||
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Strike -> | ||
frames |> List.append (StrikeFill1 pins) | ||
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Ball2 _ _ | SpareFill _ | StrikeFill2 _ _ -> | ||
crash "Impossible, an unfinished game cannot have these in the last frame after the 10th frame" | ||
@Game { frames: updatedFrames } |> Ok | ||
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mapTriplets : List Frame, (Frame, Frame, Frame -> U64) -> List U64 | ||
mapTriplets = \list, scoreFunc -> | ||
getOr0 = \index -> list |> List.get index |> Result.withDefault (Ball2 0 0) | ||
List.range { start: At 0, end: Before (List.len list) } | ||
|> List.map \index -> | ||
scoreFunc (getOr0 index) (getOr0 (index + 1)) (getOr0 (index + 2)) | ||
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firstPins : Frame -> U64 | ||
firstPins = \frame -> | ||
when frame is | ||
Ball1 pins | Ball2 pins _ | Spare pins _ | SpareFill pins | StrikeFill1 pins | StrikeFill2 pins _ -> pins | ||
Strike -> 10 | ||
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totalPins : Frame -> U64 | ||
totalPins = \frame -> | ||
when frame is | ||
Ball2 pins1 pins2 | Spare pins1 pins2 | StrikeFill2 pins1 pins2 -> pins1 + pins2 | ||
Ball1 pins | SpareFill pins | StrikeFill1 pins -> pins | ||
Strike -> 10 | ||
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score : Game -> Result U64 [GameIsNotOver] | ||
score = \@Game { frames } -> | ||
if @Game { frames } |> isOver then | ||
frames | ||
|> mapTriplets \frame1, frame2, frame3 -> | ||
when frame1 is | ||
Ball2 pins1 pins2 -> pins1 + pins2 | ||
Spare pins1 pins2 -> pins1 + pins2 + firstPins frame2 | ||
Strike -> | ||
when frame2 is | ||
Strike -> 10 + 10 + firstPins frame3 | ||
_ -> 10 + totalPins frame2 | ||
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SpareFill _ -> 0 # already counted in the Spare | ||
StrikeFill2 _ _ -> 0 # already counter in the Strike | ||
Ball1 _ | StrikeFill1 _ -> | ||
crash "Impossible, unfinished frames should not exist in a finished game" | ||
|> List.sum | ||
|> Ok | ||
else | ||
Err GameIsNotOver |
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{ | ||
"authors": [ | ||
"ageron" | ||
], | ||
"files": { | ||
"solution": [ | ||
"Bowling.roc" | ||
], | ||
"test": [ | ||
"bowling-test.roc" | ||
], | ||
"example": [ | ||
".meta/Example.roc" | ||
] | ||
}, | ||
"blurb": "Score a bowling game.", | ||
"source": "The Bowling Game Kata from UncleBob", | ||
"source_url": "https://web.archive.org/web/20221001111000/http://butunclebob.com/ArticleS.UncleBob.TheBowlingGameKata" | ||
} |
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{%- import "generator_macros.j2" as macros with context -%} | ||
{{ macros.canonical_ref() }} | ||
{{ macros.header() }} | ||
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import {{ exercise | to_pascal }} exposing [Game, create, roll, score] | ||
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replayGame : List U64 -> Result Game _ | ||
replayGame = \rolls -> | ||
newGame = create? {} | ||
rolls | ||
|> List.walkUntil (Ok newGame) \state, pins -> | ||
when state is | ||
Ok game -> | ||
when game |> roll pins is | ||
Ok updatedGame -> Continue (Ok updatedGame) | ||
Err err -> Break (Err err) | ||
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Err _ -> crash "Impossible, we don't start or Continue with an Err" | ||
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{% for case in cases -%} | ||
# {{ case["description"] }} | ||
expect | ||
maybeGame = create { previousRolls : {{ case["input"]["previousRolls"] | to_roc }} } | ||
{%- if case["property"] == "score" %} | ||
result = maybeGame |> Result.try \game -> score game | ||
{%- else %} | ||
result = maybeGame |> Result.try \game -> | ||
game |> {{ case["property"] | to_camel }} {{ case["input"]["roll"] }} | ||
{%- endif %} | ||
{%- if case["expected"]["error"] %} | ||
result |> Result.isErr | ||
{%- else %} | ||
result == Ok {{ case["expected"] | to_roc }} | ||
{%- endif %} | ||
{%- if case["property"] == "score" and not case["expected"]["error"] %} | ||
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# should be able to replay this finished game from the start | ||
expect | ||
rolls = {{ case["input"]["previousRolls"] | to_roc }} | ||
result = replayGame rolls | ||
result |> Result.isOk | ||
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{%- endif %} | ||
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{% endfor %} |
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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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[656ae006-25c2-438c-a549-f338e7ec7441] | ||
description = "should be able to score a game with all zeros" | ||
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[f85dcc56-cd6b-4875-81b3-e50921e3597b] | ||
description = "should be able to score a game with no strikes or spares" | ||
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[d1f56305-3ac2-4fe0-8645-0b37e3073e20] | ||
description = "a spare followed by zeros is worth ten points" | ||
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[0b8c8bb7-764a-4287-801a-f9e9012f8be4] | ||
description = "points scored in the roll after a spare are counted twice" | ||
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[4d54d502-1565-4691-84cd-f29a09c65bea] | ||
description = "consecutive spares each get a one roll bonus" | ||
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[e5c9cf3d-abbe-4b74-ad48-34051b2b08c0] | ||
description = "a spare in the last frame gets a one roll bonus that is counted once" | ||
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[75269642-2b34-4b72-95a4-9be28ab16902] | ||
description = "a strike earns ten points in a frame with a single roll" | ||
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[037f978c-5d01-4e49-bdeb-9e20a2e6f9a6] | ||
description = "points scored in the two rolls after a strike are counted twice as a bonus" | ||
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[1635e82b-14ec-4cd1-bce4-4ea14bd13a49] | ||
description = "consecutive strikes each get the two roll bonus" | ||
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[e483e8b6-cb4b-4959-b310-e3982030d766] | ||
description = "a strike in the last frame gets a two roll bonus that is counted once" | ||
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[9d5c87db-84bc-4e01-8e95-53350c8af1f8] | ||
description = "rolling a spare with the two roll bonus does not get a bonus roll" | ||
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[576faac1-7cff-4029-ad72-c16bcada79b5] | ||
description = "strikes with the two roll bonus do not get bonus rolls" | ||
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[efb426ec-7e15-42e6-9b96-b4fca3ec2359] | ||
description = "last two strikes followed by only last bonus with non strike points" | ||
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[72e24404-b6c6-46af-b188-875514c0377b] | ||
description = "a strike with the one roll bonus after a spare in the last frame does not get a bonus" | ||
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[62ee4c72-8ee8-4250-b794-234f1fec17b1] | ||
description = "all strikes is a perfect game" | ||
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[1245216b-19c6-422c-b34b-6e4012d7459f] | ||
description = "rolls cannot score negative points" | ||
include = false | ||
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[5fcbd206-782c-4faa-8f3a-be5c538ba841] | ||
description = "a roll cannot score more than 10 points" | ||
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[fb023c31-d842-422d-ad7e-79ce1db23c21] | ||
description = "two rolls in a frame cannot score more than 10 points" | ||
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[6082d689-d677-4214-80d7-99940189381b] | ||
description = "bonus roll after a strike in the last frame cannot score more than 10 points" | ||
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[e9565fe6-510a-4675-ba6b-733a56767a45] | ||
description = "two bonus rolls after a strike in the last frame cannot score more than 10 points" | ||
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[2f6acf99-448e-4282-8103-0b9c7df99c3d] | ||
description = "two bonus rolls after a strike in the last frame can score more than 10 points if one is a strike" | ||
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[6380495a-8bc4-4cdb-a59f-5f0212dbed01] | ||
description = "the second bonus rolls after a strike in the last frame cannot be a strike if the first one is not a strike" | ||
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[2b2976ea-446c-47a3-9817-42777f09fe7e] | ||
description = "second bonus roll after a strike in the last frame cannot score more than 10 points" | ||
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[29220245-ac8d-463d-bc19-98a94cfada8a] | ||
description = "an unstarted game cannot be scored" | ||
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[4473dc5d-1f86-486f-bf79-426a52ddc955] | ||
description = "an incomplete game cannot be scored" | ||
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[2ccb8980-1b37-4988-b7d1-e5701c317df3] | ||
description = "cannot roll if game already has ten frames" | ||
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[4864f09b-9df3-4b65-9924-c595ed236f1b] | ||
description = "bonus rolls for a strike in the last frame must be rolled before score can be calculated" | ||
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[537f4e37-4b51-4d1c-97e2-986eb37b2ac1] | ||
description = "both bonus rolls for a strike in the last frame must be rolled before score can be calculated" | ||
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[8134e8c1-4201-4197-bf9f-1431afcde4b9] | ||
description = "bonus roll for a spare in the last frame must be rolled before score can be calculated" | ||
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[9d4a9a55-134a-4bad-bae8-3babf84bd570] | ||
description = "cannot roll after bonus roll for spare" | ||
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[d3e02652-a799-4ae3-b53b-68582cc604be] | ||
description = "cannot roll after bonus rolls for strike" |
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module [Game, create, roll, score] | ||
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Game := { | ||
# TODO: change this opaque type however you need | ||
todo : U64, | ||
todo2 : U64, | ||
todo3 : U64, | ||
# etc. | ||
} | ||
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create : { previousRolls ? List U64 } -> Result Game _ | ||
create = \{ previousRolls ? [] } -> | ||
crash "Please implement the 'create' function" | ||
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roll : Game, U64 -> Result Game _ | ||
roll = \game, pins -> | ||
crash "Please implement the 'roll' function" | ||
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score : Game -> Result U64 _ | ||
score = \finishedGame -> | ||
crash "Please implement the 'score' function" |
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