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"@johanneslumpe/typescriptle", + "version": "1.0.0", + "description": "Wordle in TypeScript's type system", + "main": "index.js", + "scripts": { + "test": "tsd" + }, + "repository": { + "type": "git", + "url": "git+https://github.com/johanneslumpe/typescriptle.git" + }, + "keywords": [], + "author": "", + "license": "MIT", + "types": "./index.d.ts", + "bugs": { + "url": "https://github.com/johanneslumpe/typescriptle/issues" + }, + "homepage": "https://github.com/johanneslumpe/typescriptle#readme", + "devDependencies": { + "tsd": "^0.19.1" + } +} \ No newline at end of file diff --git a/tsconfig.json b/tsconfig.json new file mode 100644 index 0000000..1f2b60f --- /dev/null +++ b/tsconfig.json @@ -0,0 +1,14 @@ +{ + "compilerOptions": { + "module": "esnext", + "target": "esnext", + "sourceMap": false, + "moduleResolution": "Node", + "skipLibCheck": true, + "strict": true, + "isolatedModules": true, + "types": ["node"], + "outDir": "dist", + "baseUrl": "." + } +} diff --git a/typescriptle.d.ts b/typescriptle.d.ts index bb1eee5..94dc682 100644 --- a/typescriptle.d.ts +++ b/typescriptle.d.ts @@ -21,7 +21,7 @@ type Split = ? [Head, ...Split] : // This check deals with empty strings to ensure that they do not end up in our list of // characters. `B` matches on an empty string, so this will match `'A'`, but not `''` - T extends `${infer A}${infer B}` + T extends `${infer A}${string}` ? [A] : []; @@ -41,12 +41,194 @@ type Join = T extends [infer Head, ...infer Tail] ? `${CastToString}${Join>}` : ""; +// This type might look like it returns an object, but in fact it returns a list of all keys in the list +// Example: ArrayKeyList<[true, true]> would return `['0', '1']` +type ArrayKeyList = { + [P in keyof T]: P; +}; +// This type turns a list into a union. This type is the backbone of our ability to compare numbers +// Example: KeyUnion<['0', '1']> would return `'0' | '1'` +type KeyUnion = ArrayKeyList[number]; + +// Converts a given number to a tuple of `Replacement`. This enables us to use numeric values when comparing tuples/lists +// as we can use the resulting tuple can be used for conditional type checking. +type NumberToTuple< + T extends number, + Replacement = true, + IsLengthInclusive extends boolean = false, + R extends Replacement[] = [] +> = + // if the length of built-up list has reached the number we are looking for + R["length"] extends T + ? // special case to increase the resulting length by 1. This is useful for cases where we use this type downstream and convert it to a union, which requires the actual number to be part of it. + // This is due to lists being 0 based, which would usually omit the actual number from our indexes + IsLengthInclusive extends true + ? [Replacement, ...R] + : R + : NumberToTuple; + +// Checks whether `T` is greater or than or equal to `R`. This type works by checking whether the stringified version of `T` +// extends the key union of the tuple version of `R`. Given that we convert our number `R` into a tuple of the same length as the number +// we can check for inclusiveness in its key union to determine whether `T` is at least as large as `R`. +// Note: this type does not work for negative numbers. +type GreaterThanOrEqual< + T extends number, + R extends number +> = `${T}` extends KeyUnion> ? false : true; + +// Basically the same type as above, except that it enforces that `T` must be strictly larger than `R`. +// It does so by using `NumberToTuple`'s `IsLengthInclusive` case, which will ensure that `R` is actually part +// of the resulting union. +// If the stringified version of `T` can be found in the union, then it is not grater than `R`. +type GreaterThan = `${T}` extends KeyUnion< + NumberToTuple +> + ? false + : true; + +// A utility type to make things more readable when computing lengths +type Length = T["length"]; + +// Utility type to check boolean intersections for trueness +type IsTrue = [T] extends [never] + ? T extends false + ? false + : false + : T extends false + ? false + : true; + +// Boolean OR utility type +type Or = T1 extends true ? true : T2 extends true ? true : false; +// Boolean AND utility type +type And = T1 extends true ? (T2 extends true ? true : false) : false; + +// This is a very crude type to allow iteration over tuples. It allows us to keep track of the current index +// All it does is provide a linked list of numbers that will end in `OUT_OF_BOUNDS` when we are trying to iterate +// outside of the number of supported values. This is a way to iterate finite lists. In our case we do not need +// more than 5 values, so 0-4 will suffice. This type is loosely based on a similar type in `ts-toolbelt`. +type Iteration = PossibleIterations[keyof PossibleIterations]; +type PossibleIterations = { + OUT_OF_BOUNDS: [-1, "OUT_OF_BOUNDS"]; + 0: [0, 1]; + 1: [1, 2]; + 2: [2, 3]; + 3: [3, 4]; + 4: [4, "OUT_OF_BOUNDS"]; +}; + +// utility types to walk through the iteration list +type IterationOf = PossibleIterations[T]; +type IterationValue = T[0]; +type NextIteration = PossibleIterations[T[1]]; + +// Given `Character` will find all instances of it in `T` and return `true[]` with a length +// matching the number of times `Character` was found +type GetAllCharacterOccurrences = + // If our list has elements in it + T extends [infer Head, ...infer Tail] + ? // and the currrent head matches our search character + Character extends Head + ? // add an entry to our return value and recurse + [true, ...GetAllCharacterOccurrences>] + : // else just recurse + GetAllCharacterOccurrences> + : // return an empty list to terminate recursion once we have exhausted the list + []; + +// Slices `List` from `IndexToStartAt` until the end +type SliceStartingAt< + IndexToStartAt extends number, + List extends unknown[] +> = List extends [...NumberToTuple, ...infer Rest] + ? Rest + : List; + +// Slices a list from index 0 to `IndexToSliceUpTo`. +type SliceUpTo< + IndexToSliceUpTo extends number, + List extends unknown[], + PoppedList extends unknown[] = List, + Accumulator extends unknown[] = [] +> = + // Check if the list we have received contains at least as many items as the index we want to start slicing at + GreaterThanOrEqual, IndexToSliceUpTo> extends true + ? // If our `Accumulator` has reached the length of the index we want to slice up to + // we have successfully sliced off enough elements + GreaterThanOrEqual, IndexToSliceUpTo> extends true + ? Accumulator + : // Otherwise we check if we have more elements to slice and, if so, will + // keep recursing with a new entry added to `Accumulator`. + PoppedList extends [infer Head, ...infer Tail] + ? SliceUpTo + : // We have no more elements to recurse over, terminate + [] + : // If the list does not contain enough items, just return it as is + List; + +// Will return the number of characters in `List` which match `Character` after the index specified by our interation `I` +type GetCharacterOccurrencesAfterIndex< + Character extends string, + List extends string[], + I extends Iteration +> = + // guard against out of bounds iteration + IterationValue> extends number & infer NextIterationValue + ? Length< + GetAllCharacterOccurrences< + Character, + CastToStringList< + SliceStartingAt, List> + > + > + > + : '"out of bounds, cannot compute"'; + +// Will return the number of characters in `List` which match `Character` after the index specified by our interation `I` +type GetCharacterOccurrencesBeforeIndex< + Character extends string, + List extends string[], + I extends Iteration +> = Length< + GetAllCharacterOccurrences< + Character, + CastToStringList, List>> + > +>; + +// Computes `true[]` with the length of the number of times `Character` was matched at the same index in `T` and `R`. +// Example: `GetExactmatches<'c', ['a','b','c','c','d'], ['c','a','c','c','e']>` would return `[true, true]` as we have two matches. +type GetExactMatches< + Character extends string, + T extends string[], + R extends string[] +> = T extends [infer Head, ...infer Tail] + ? R extends [infer RHead, ...infer RTail] + ? Character extends Head & RHead + ? [ + true, + ...GetExactMatches< + Character, + CastToStringList, + CastToStringList + > + ] + : GetExactMatches< + Character, + CastToStringList, + CastToStringList + > + : [] + : []; + // These are just utility types to make the conditional types below more readable type CharacterNotFound = ` ⬛ ${Character} `; type CharacterAtCorrectPosition = ` 🟩 ${Character} `; type CharacterFound = ` 🟨 ${Character} `; type EmptyWordPlaceholder = " ⬛ ⬛ ⬛ ⬛ ⬛ "; type InvalidWord = " INVALID WORD "; +type InvalidCase = + "This is an invalid case and should never happen, please report a bug with steps to reproduce, thanks!"; // This type will check for the existence of a character in a list of characters. // It does this by recursively checking each charater in the list `SplitWorkd` against our @@ -59,11 +241,8 @@ type ContainsCharacter< ? // Character exists in solution, just not at the right spot CharacterToSearchFor extends CurrentCharacter ? CharacterFound - : RestOfWord extends string[] - ? // Recursively check the rest of the characters until we run out or find a match - ContainsCharacter - : // Wrong character - CharacterNotFound + : // Recursively check the rest of the characters until we run out or find a match + ContainsCharacter, CharacterToSearchFor> : // Wrong character CharacterNotFound; @@ -78,50 +257,157 @@ type ValidWord = Word extends Words ? true : false; // either a `string` or `string[]`. type CastToStringList = T extends string[] ? T : string[]; type CastToString = T extends string ? T : string; +type CastToNumber = T extends number ? T : number; + +// Utility type to compute counts required for our calculations. +type ComputeCounts< + CurrentCharacter extends string, + FullSolution extends string[], + FullGuess extends string[], + I extends Iteration +> = [ + MatchingCharactersAfterCurrentIndexForSolution: CastToNumber< + GetCharacterOccurrencesAfterIndex< + CastToString, + FullSolution, + I + > + >, + MatchingCharactersBeforeCurrentIndexForSolution: CastToNumber< + GetCharacterOccurrencesBeforeIndex< + CastToString, + FullSolution, + I + > + >, + MatchingCharactersAfterCurrentIndexForGuess: CastToNumber< + GetCharacterOccurrencesAfterIndex< + CastToString, + FullGuess, + I + > + >, + MatchingCharactersBeforeCurrentIndexForGuess: CastToNumber< + GetCharacterOccurrencesBeforeIndex< + CastToString, + FullGuess, + I + > + > +]; + +type LowercaseString = CastToString>; // This type is our "entry" type for comparing two lists of characters. -// `GuessCharacterList` are the characters of the word that we guessed -// and `SolutionCharacterList` are the individual characters of the word we're looking for. +// `CurrentGuessCharacterList` are the characters of the word that we guessed +// and `CurrentSolutionCharacterList` are the individual characters of the word we're looking for. // Just as in our types above, we rely heavily on conditional types. -type CompareWords< - GuessCharacterList extends string[], - SolutionCharacterList extends string[], - // The full list of characters for the solution which will remain untouched. - // This is needed for checking existence of a character _somewhere_ in the whole solution - FullSolutionCharacterList = SolutionCharacterList -> = - // We need to have at least a list with one character to guess - GuessCharacterList extends [ - infer CurrentGuessedLetter, - ...infer RestOfGuessedWord - ] - ? // We also need at least one character in the list of characters of our solution - SolutionCharacterList extends [ - infer CurrentSolutionLetter, - ...infer RestOfSolution +export type CompareWords< + CurrentGuessCharacterList extends string[], + CurrentSolutionCharacterList extends string[], + FullSolution extends string[] = CurrentSolutionCharacterList, + FullGuess extends string[] = CurrentGuessCharacterList, + CurrentIteration extends Iteration = IterationOf<0>, + // precompute values for the current iteration which are used in multiple branches + SlicedGuess = SliceStartingAt, FullGuess>, + SlicedSolution = SliceStartingAt< + IterationValue, + FullSolution + >, + NumberOfExactMatchesForCurrentGuessCharacter = Length< + GetExactMatches< + LowercaseString, + CastToStringList, + CastToStringList + > + > +> = [CurrentGuessCharacterList, CurrentSolutionCharacterList] extends [ + [infer CurrentGuessCharacter, ...infer GuessTail], + [infer CurrentSolutionCharacter, ...infer SolutionTail] +] + ? // exact match case + LowercaseString extends CurrentSolutionCharacter + ? [ + CharacterAtCorrectPosition>, + ...CompareWords< + CastToStringList, + CastToStringList, + FullSolution, + FullGuess, + NextIteration + > ] - ? [ - // If both letters at the current position match, the guessed letter is correct - CurrentGuessedLetter extends CurrentSolutionLetter - ? CharacterAtCorrectPosition> - : // If they didn't match, the guessed letter might be used somewhere in the solution - ContainsCharacter< - CastToStringList, - CastToString - >, - // We call `CompareWords` recursively, with both the remaining guess characters and remaining - // solution characters. It is importat that we also explicitly pass in `FullSolutionCharacterList` - // so that it doesn't get reassigned to ` CastToStringList` the next recursion. - // If that happend we would not be able to check the whole list for general existence of a character - // as the list would shrink with each recursion. - ...CompareWords< - CastToStringList, - CastToStringList, - FullSolutionCharacterList - > - ] - : [] - : []; + : // compute data for other cases + ComputeCounts< + LowercaseString, + FullSolution, + FullGuess, + CurrentIteration + > extends [ + infer SolutionCharactersAfter, + infer SolutionCharactersBefore, + infer GuessCharactersAfter, + infer GuessCharactersBefore + ] + ? [ + // If our current character appeared in the solution before the current index + GreaterThan extends true + ? Or< + // If the number of times the character appeared in the solution is larger + // than the number of times it appeared in our guess + GreaterThan, + // or if the number of exact matches for this character + // after our current index is smaller than the number of times + // this character appears in the solution after the current index + // then we have a partial match + GreaterThan< + SolutionCharactersAfter, + NumberOfExactMatchesForCurrentGuessCharacter + > + > extends true + ? CharacterFound> + : // else the character couldn't be found + CharacterNotFound> + : // if the character appears somewhere in the solution after the current index + GreaterThan extends true + ? // First case: we have at least the same number of this character coming up in the guess as well as the solution + GreaterThanOrEqual< + SolutionCharactersAfter, + GuessCharactersAfter + > extends true + ? And< + // Ensure that we have more characters coming after than came before. This is necessary to account for characters + // which have already been "claimed" by previous occurrences of the current character + GreaterThan, + // Finally check if we have less exact matches coming up than available matching characters. If this is the case + // then we found a valid character + GreaterThan< + SolutionCharactersAfter, + NumberOfExactMatchesForCurrentGuessCharacter + > + > extends true + ? CharacterFound> + : CharacterNotFound> + : // Second case: We have less solution characters than guess characters. We check if the number of upcoming matches is less than the + // number of total valid characters. If that is the case, then this character is valid as a partial match. + GreaterThan< + SolutionCharactersAfter, + NumberOfExactMatchesForCurrentGuessCharacter + > extends true + ? CharacterFound> + : CharacterNotFound> + : CharacterNotFound>, + // recurse the rest of the guessed word + ...CompareWords< + CastToStringList, + CastToStringList, + FullSolution, + FullGuess, + NextIteration + > + ] + : InvalidCase + : []; // This wrapper type solely exists to hide the solution word from the expanded type that // TypeScript reports. The usage of a generic and conditional type prevents expansion. diff --git a/typescriptle.test-d.ts b/typescriptle.test-d.ts new file mode 100644 index 0000000..80724e7 --- /dev/null +++ b/typescriptle.test-d.ts @@ -0,0 +1,44 @@ +import { expectType } from "tsd"; + +import { CompareWords } from "./typescriptle"; + +// full match +declare const T10: CompareWords<["a", "b", "c"], ["a", "b", "c"]>; +expectType<[" 🟩 a ", " 🟩 b ", " 🟩 c "]>(T10); + +// full match, case insensitive +declare const T20: CompareWords<["a", "B", "c"], ["a", "b", "c"]>; +expectType<[" 🟩 a ", " 🟩 b ", " 🟩 c "]>(T20); + +// invalid character +declare const T30: CompareWords<["a", "b", "c"], ["a", "x", "c"]>; +expectType<[" 🟩 a ", " ⬛ b ", " 🟩 c "]>(T30); + +// same character appears multiple times in guess, once in solution, and has a direct match +declare const T40: CompareWords<["a", "a", "c"], ["a", "b", "b"]>; +expectType<[" 🟩 a ", " ⬛ a ", " ⬛ c "]>(T40); + +// same character appears multiple times in guess, once in solution, and has an indirect match +declare const T50: CompareWords<["a", "a", "c"], ["b", "b", "a"]>; +expectType<[" 🟨 a ", " ⬛ a ", " ⬛ c "]>(T50); + +// direct and indirect match, indirect match is last character in guess +declare const T60: CompareWords<["a", "x", "a"], ["a", "a", "b"]>; +expectType<[" 🟩 a ", " ⬛ x ", " 🟨 a "]>(T60); + +// direct and indirect match, indirect match has characters after it +declare const T70: CompareWords<["a", "x", "a", "f"], ["a", "a", "b", "g"]>; +expectType<[" 🟩 a ", " ⬛ x ", " 🟨 a ", " ⬛ f "]>(T70); + +// multiple indirect matches +declare const T80: CompareWords<["x", "a", "a", "f"], ["a", "b", "b", "a"]>; +expectType<[" ⬛ x ", " 🟨 a ", " 🟨 a ", " ⬛ f "]>(T80); + +// @ts-expect-error For some reason TS thinks the type instantiation here is possibly infinite. +// We are getting the correct result type though, so for now let's mute this. It does not seem +// to happen for all word combinations. +declare const T90: CompareWords< + ["m", "o", "u", "t", "h"], + ["a", "c", "h", "e", "s"] +>; +expectType<[" ⬛ m ", " ⬛ o ", " ⬛ u ", " ⬛ t ", " 🟨 h "]>(T90);