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itertools

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A JavaScript port of Python's awesome itertools standard library

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type { Primitive } from \"./types\";\n\ntype CmpFn<T> = (a: T, b: T) => number;\n\nexport function keyToCmp<T>(keyFn: (item: T) => Primitive): CmpFn<T> {\n return (a: T, b: T) => {\n const ka = keyFn(a);\n const kb = keyFn(b);\n // istanbul ignore else -- @preserve\n if (typeof ka === \"boolean\" && typeof kb === \"boolean\") {\n return ka === kb ? 0 : !ka && kb ? -1 : 1;\n } else if (typeof ka === \"number\" && typeof kb === \"number\") {\n return ka - kb;\n } else if (typeof ka === \"string\" && typeof kb === \"string\") {\n return ka === kb ? 0 : ka < kb ? -1 : 1;\n } else {\n return -1;\n }\n };\n}\n\nexport function identityPredicate(x: unknown): boolean {\n return !!x;\n}\n\nexport function numberIdentity(x: unknown): number {\n // istanbul ignore if -- @preserve\n if (typeof x !== \"number\") {\n throw new Error(\"Inputs must be numbers\");\n }\n return x;\n}\n\nexport function primitiveIdentity<P extends Primitive>(x: P): P;\nexport function primitiveIdentity(x: unknown): Primitive;\nexport function primitiveIdentity(x: unknown): Primitive {\n // istanbul ignore if -- @preserve\n if (typeof x !== \"string\" && typeof x !== \"number\" && typeof x !== \"boolean\") {\n throw new Error(\"Please provide a key function that can establish object identity\");\n }\n return x;\n}\n","import { iter, map } from \"./builtins\";\nimport { izip, repeat } from \"./itertools\";\nimport type { Predicate, Primitive } from \"./types\";\nimport { primitiveIdentity } from \"./utils\";\n\n/**\n * Break iterable into lists of length `size`:\n *\n * [...chunked([1, 2, 3, 4, 5, 6], 3)]\n * // [[1, 2, 3], [4, 5, 6]]\n *\n * If the length of iterable is not evenly divisible by `size`, the last returned\n * list will be shorter:\n *\n * [...chunked([1, 2, 3, 4, 5, 6, 7, 8], 3)]\n * // [[1, 2, 3], [4, 5, 6], [7, 8]]\n */\nexport function* chunked<T>(iterable: Iterable<T>, size: number): IterableIterator<T[]> {\n if (size < 1) {\n throw new Error(`Invalid chunk size: ${size}`);\n 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elements of the given\n * iterable.\n */\nexport function* itake<T>(n: number, iterable: Iterable<T>): IterableIterator<T> {\n const it = iter(iterable);\n let count = n;\n while (count-- > 0) {\n const s = it.next();\n if (!s.done) {\n yield s.value;\n } else {\n // Iterable exhausted, quit early\n return;\n }\n }\n}\n\n/**\n * Returns an iterator of paired items, overlapping, from the original. When\n * the input iterable has a finite number of items `n`, the outputted iterable\n * will have `n - 1` items.\n *\n * >>> pairwise([8, 2, 0, 7])\n * [(8, 2), (2, 0), (0, 7)]\n *\n */\nexport function* pairwise<T>(iterable: Iterable<T>): IterableIterator<[T, T]> {\n const it = iter(iterable);\n const first = it.next();\n if (first.done) {\n return;\n }\n\n let r1: T = first.value;\n for (const r2 of it) {\n yield [r1, r2];\n r1 = r2;\n }\n}\n\n/**\n * Returns a 2-tuple of arrays. Splits the elements in the input iterable into\n * either of the two arrays. Will fully exhaust the input iterable. The first\n * array contains all items that match the predicate, the second the rest:\n *\n * >>> const isOdd = x => x % 2 !== 0;\n * >>> const iterable = range(10);\n * >>> const [odds, evens] = partition(iterable, isOdd);\n * >>> odds\n * [1, 3, 5, 7, 9]\n * >>> evens\n * [0, 2, 4, 6, 8]\n *\n */\nexport function partition<T, N extends T>(\n iterable: Iterable<T>,\n predicate: (item: T, index: number) => item is N,\n): [N[], Exclude<T, N>[]];\nexport function partition<T>(iterable: Iterable<T>, predicate: Predicate<T>): [T[], T[]];\nexport function partition<T>(iterable: Iterable<T>, predicate: Predicate<T>): [T[], T[]] {\n const good = [];\n const bad = [];\n\n let index = 0;\n for (const item of iterable) {\n if (predicate(item, index++)) {\n good.push(item);\n } else {\n bad.push(item);\n }\n }\n\n return [good, bad];\n}\n\n/**\n * Yields the next item from each iterable in turn, alternating between them.\n * Continues until all items are exhausted.\n *\n * >>> [...roundrobin([1, 2, 3], [4], [5, 6, 7, 8])]\n * [1, 4, 5, 2, 6, 3, 7, 8]\n */\nexport function* roundrobin<T>(...iters: Iterable<T>[]): IterableIterator<T> {\n // We'll only keep lazy versions of the input iterables in here that we'll\n // slowly going to exhaust. Once an iterable is exhausted, it will be\n // removed from this list. Once the entire list is empty, this algorithm\n // ends.\n const iterables: Iterator<T>[] = map(iters, iter);\n\n while (iterables.length > 0) {\n let index = 0;\n while (index < iterables.length) {\n const it = iterables[index];\n const result = it.next();\n\n if (!result.done) {\n yield result.value;\n index++;\n } else {\n // This iterable is exhausted, make sure to remove it from the\n // list of iterables. We'll splice the array from under our\n // feet, and NOT advancing the index counter.\n iterables.splice(index, 1); // intentional side-effect!\n }\n }\n }\n}\n\n/**\n * Yields the heads of all of the given iterables. This is almost like\n * `roundrobin()`, except that the yielded outputs are grouped in to the\n * \"rounds\":\n *\n * >>> [...heads([1, 2, 3], [4], [5, 6, 7, 8])]\n * [[1, 4, 5], [2, 6], [3, 7], [8]]\n *\n * This is also different from `zipLongest()`, since the number of items in\n * each round can decrease over time, rather than being filled with a filler.\n */\nexport function* heads<T>(...iters: Iterable<T>[]): IterableIterator<T[]> {\n // We'll only keep lazy versions of the input iterables in here that we'll\n // slowly going to exhaust. Once an iterable is exhausted, it will be\n // removed from this list. Once the entire list is empty, this algorithm\n // ends.\n const iterables: Iterator<T>[] = map(iters, iter);\n\n while (iterables.length > 0) {\n let index = 0;\n const round = [];\n while (index < iterables.length) {\n const it = iterables[index];\n const result = it.next();\n\n if (!result.done) {\n round.push(result.value);\n index++;\n } else {\n // This iterable is exhausted, make sure to remove it from the\n // list of iterables. We'll splice the array from under our\n // feet, and NOT advancing the index counter.\n iterables.splice(index, 1); // intentional side-effect!\n }\n }\n if (round.length > 0) {\n yield round;\n }\n }\n}\n\n/**\n * Non-lazy version of itake().\n */\nexport function take<T>(n: number, iterable: Iterable<T>): T[] {\n return Array.from(itake(n, iterable));\n}\n\n/**\n * Yield unique elements, preserving order.\n *\n * >>> [...uniqueEverseen('AAAABBBCCDAABBB')]\n * ['A', 'B', 'C', 'D']\n * >>> [...uniqueEverseen('AbBCcAB', s => s.toLowerCase())]\n * ['A', 'b', 'C']\n *\n */\nexport function* uniqueEverseen<T>(\n iterable: Iterable<T>,\n keyFn: (item: T) => Primitive = primitiveIdentity,\n): IterableIterator<T> {\n const seen = new Set();\n for (const item of iterable) {\n const key = keyFn(item);\n if (!seen.has(key)) {\n seen.add(key);\n yield item;\n }\n }\n}\n\n/**\n * Yield only elements from the input that occur more than once. Needs to\n * consume the entire input before being able to produce the first result.\n *\n * >>> [...dupes('AAAABCDEEEFABG')]\n * [['A', 'A', 'A', 'A', 'A'], ['E', 'E', 'E'], ['B', 'B']]\n * >>> [...dupes('AbBCcAB', s => s.toLowerCase())]\n * [['b', 'B', 'B'], ['C', 'c'], ['A', 'A']]\n *\n */\nexport function dupes<T>(\n iterable: Iterable<T>,\n keyFn: (item: T) => Primitive = primitiveIdentity,\n): IterableIterator<T[]> {\n const multiples = new Map<Primitive, T[]>();\n\n {\n const singles = new Map<Primitive, T>();\n for (const item of iterable) {\n const key = keyFn(item);\n if (multiples.has(key)) {\n multiples.get(key)!.push(item);\n } else if (singles.has(key)) {\n multiples.set(key, [singles.get(key)!, item]);\n singles.delete(key);\n } else {\n singles.set(key, item);\n }\n }\n }\n\n return multiples.values();\n}\n\n/**\n * Yields elements in order, ignoring serial duplicates.\n *\n * >>> [...uniqueJustseen('AAAABBBCCDAABBB')]\n * ['A', 'B', 'C', 'D', 'A', 'B']\n * >>> [...uniqueJustseen('AbBCcAB', s => s.toLowerCase())]\n * ['A', 'b', 'C', 'A', 'B']\n *\n */\nexport function* uniqueJustseen<T>(\n iterable: Iterable<T>,\n keyFn: (item: T) => Primitive = primitiveIdentity,\n): IterableIterator<T> {\n let last = undefined;\n for (const item of iterable) {\n const key = keyFn(item);\n if (key !== last) {\n yield item;\n last = key;\n }\n }\n}\n","import { every, iter, range } from \"./builtins\";\nimport { flatten } from \"./more-itertools\";\nimport type { Predicate, Primitive } from \"./types\";\nimport { primitiveIdentity } from \"./utils\";\n\nconst SENTINEL = Symbol();\n\n/**\n * Returns an iterator that returns elements from the first iterable until it\n * is exhausted, then proceeds to the next iterable, until all of the iterables\n * are exhausted. Used for treating consecutive sequences as a single\n * sequence.\n */\nexport function chain<T>(...iterables: Iterable<T>[]): IterableIterator<T> {\n return flatten(iterables);\n}\n\n/**\n * Returns an iterator that counts up values starting with number `start`\n * (default 0), incrementing by `step`. To decrement, use a negative step\n * number.\n */\nexport function* count(start = 0, step = 1): IterableIterator<number> {\n let n = start;\n for (;;) {\n yield n;\n n += step;\n }\n}\n\n/**\n * Non-lazy version of icompress().\n */\nexport function compress<T>(data: Iterable<T>, selectors: Iterable<boolean>): T[] {\n return Array.from(icompress(data, selectors));\n}\n\n/**\n * Returns an iterator producing elements from the iterable and saving a copy\n * of each. When the iterable is exhausted, return elements from the saved\n * copy. Repeats indefinitely.\n */\nexport function* cycle<T>(iterable: Iterable<T>): IterableIterator<T> {\n const saved = [];\n for (const element of iterable) {\n yield element;\n saved.push(element);\n }\n\n while (saved.length > 0) {\n for (const element of saved) {\n yield element;\n }\n }\n}\n\n/**\n * Returns an iterator that drops elements from the iterable as long as the\n * predicate is true; afterwards, returns every remaining element. Note, the\n * iterator does not produce any output until the predicate first becomes\n * false.\n */\nexport function* dropwhile<T>(iterable: Iterable<T>, predicate: Predicate<T>): IterableIterator<T> {\n let index = 0;\n const it = iter(iterable);\n let res: IteratorResult<T>;\n while (!(res = it.next()).done) {\n const value = res.value;\n if (!predicate(value, index++)) {\n yield value;\n break; // we break, so we cannot use a for..of loop!\n }\n }\n\n for (const value of it) {\n yield value;\n }\n}\n\nexport function* groupby<T, K extends Primitive>(\n iterable: Iterable<T>,\n keyFn: (item: T) => K = primitiveIdentity,\n): Generator<[K, Generator<T, undefined>], undefined> {\n const it = iter(iterable);\n\n let currentValue: T;\n let currentKey: K = SENTINEL as unknown as K;\n // ^^^^^^^^^^^^^^^ Hack!\n let targetKey: K = currentKey;\n\n const grouper = function* grouper(tgtKey: K): Generator<T, undefined> {\n while (currentKey === tgtKey) {\n yield currentValue;\n\n const nextVal = it.next();\n if (nextVal.done) return;\n currentValue = nextVal.value;\n currentKey = keyFn(currentValue);\n }\n };\n\n for (;;) {\n while (currentKey === targetKey) {\n const nextVal = it.next();\n if (nextVal.done) {\n currentKey = SENTINEL as unknown as K;\n // ^^^^^^^^^^^^^^^ Hack!\n return;\n }\n currentValue = nextVal.value;\n currentKey = keyFn(currentValue);\n }\n\n targetKey = currentKey;\n yield [currentKey, grouper(targetKey)];\n }\n}\n\n/**\n * Returns an iterator that filters elements from data returning only those\n * that have a corresponding element in selectors that evaluates to `true`.\n * Stops when either the data or selectors iterables has been exhausted.\n */\nexport function* icompress<T>(data: Iterable<T>, selectors: Iterable<boolean>): IterableIterator<T> {\n for (const [d, s] of izip(data, selectors)) {\n if (s) {\n yield d;\n }\n }\n}\n\n/**\n * Returns an iterator that filters elements from iterable returning only those\n * for which the predicate is true.\n */\nexport function ifilter<T, N extends T>(iterable: Iterable<T>, predicate: (item: T) => item is N): IterableIterator<N>;\nexport function ifilter<T>(iterable: Iterable<T>, predicate: Predicate<T>): IterableIterator<T>;\nexport function* ifilter<T>(iterable: Iterable<T>, predicate: Predicate<T>): IterableIterator<T> {\n let index = 0;\n for (const value of iterable) {\n if (predicate(value, index++)) {\n yield value;\n }\n }\n}\n\n/**\n * Returns an iterator that computes the given mapper function using arguments\n * from each of the iterables.\n */\nexport function* imap<T, V>(iterable: Iterable<T>, mapper: (item: T) => V): IterableIterator<V> {\n for (const value of iterable) {\n yield mapper(value);\n }\n}\n\n/**\n * Returns an iterator that returns selected elements from the iterable. If\n * `start` is non-zero, then elements from the iterable are skipped until start\n * is reached. Then, elements are returned by making steps of `step` (defaults\n * to 1). If set to higher than 1, items will be skipped. If `stop` is\n * provided, then iteration continues until the iterator reached that index,\n * otherwise, the iterable will be fully exhausted. `islice()` does not\n * support negative values for `start`, `stop`, or `step`.\n */\nexport function islice<T>(iterable: Iterable<T>, stop: number): IterableIterator<T>;\nexport function islice<T>(\n iterable: Iterable<T>,\n start: number,\n stop?: number | null,\n step?: number,\n): IterableIterator<T>;\nexport function* islice<T>(\n iterable: Iterable<T>,\n stopOrStart: number,\n possiblyStop?: number | null,\n step = 1,\n): IterableIterator<T> {\n let start, stop;\n if (possiblyStop !== undefined) {\n // islice(iterable, start, stop[, step])\n start = stopOrStart;\n stop = possiblyStop;\n } else {\n // islice(iterable, stop)\n start = 0;\n stop = stopOrStart;\n }\n\n if (start < 0) throw new Error(\"start cannot be negative\");\n if (stop !== null && stop < 0) throw new Error(\"stop cannot be negative\");\n if (step <= 0) throw new Error(\"step cannot be negative\");\n\n let i = -1;\n const it = iter(iterable);\n let res: IteratorResult<T>;\n while (true) {\n i++;\n if (stop !== null && i >= stop) return; // early returns, so we cannot use a for..of loop!\n\n res = it.next();\n if (res.done) return;\n\n if (i < start) continue;\n if ((i - start) % step === 0) {\n yield res.value;\n }\n }\n}\n\n/**\n * Returns an iterator that aggregates elements from each of the iterables.\n * Used for lock-step iteration over several iterables at a time. When\n * iterating over two iterables, use `izip2`. When iterating over three\n * iterables, use `izip3`, etc. `izip` is an alias for `izip2`.\n */\nexport function* izip<T1, T2>(xs: Iterable<T1>, ys: Iterable<T2>): IterableIterator<[T1, T2]> {\n const ixs = iter(xs);\n const iys = iter(ys);\n for (;;) {\n const x = ixs.next();\n const y = iys.next();\n if (!x.done && !y.done) {\n yield [x.value, y.value];\n } else {\n // One of the iterables exhausted\n return;\n }\n }\n}\n\n/**\n * Like izip2, but for three input iterables.\n */\nexport function* izip3<T1, T2, T3>(\n xs: Iterable<T1>,\n ys: Iterable<T2>,\n zs: Iterable<T3>,\n): IterableIterator<[T1, T2, T3]> {\n const ixs = iter(xs);\n const iys = iter(ys);\n const izs = iter(zs);\n for (;;) {\n const x = ixs.next();\n const y = iys.next();\n const z = izs.next();\n if (!x.done && !y.done && !z.done) {\n yield [x.value, y.value, z.value];\n } else {\n // One of the iterables exhausted\n return;\n }\n }\n}\n\nexport const izip2 = izip;\n\n/**\n * Returns an iterator that aggregates elements from each of the iterables. If\n * the iterables are of uneven length, missing values are filled-in with\n * fillvalue. Iteration continues until the longest iterable is exhausted.\n */\nexport function* izipLongest2<T1, T2, D>(\n xs: Iterable<T1>,\n ys: Iterable<T2>,\n filler?: D,\n): IterableIterator<[T1 | D, T2 | D]> {\n const filler_ = filler as D;\n const ixs = iter(xs);\n const iys = iter(ys);\n for (;;) {\n const x = ixs.next();\n const y = iys.next();\n if (x.done && y.done) {\n // All iterables exhausted\n return;\n } else {\n yield [!x.done ? x.value : filler_, !y.done ? y.value : filler_];\n }\n }\n}\n\n/**\n * See izipLongest2, but for three.\n */\nexport function* izipLongest3<T1, T2, T3, D = undefined>(\n xs: Iterable<T1>,\n ys: Iterable<T2>,\n zs: Iterable<T3>,\n filler?: D,\n): IterableIterator<[T1 | D, T2 | D, T3 | D]> {\n const filler_ = filler as D;\n const ixs = iter(xs);\n const iys = iter(ys);\n const izs = iter(zs);\n for (;;) {\n const x = ixs.next();\n const y = iys.next();\n const z = izs.next();\n if (x.done && y.done && z.done) {\n // All iterables exhausted\n return;\n } else {\n yield [!x.done ? x.value : filler_, !y.done ? y.value : filler_, !z.done ? z.value : filler_];\n }\n }\n}\n\n/**\n * Like the other izips (`izip`, `izip3`, etc), but generalized to take an\n * unlimited amount of input iterables. Think `izip(*iterables)` in Python.\n *\n * **Note:** Due to Flow type system limitations, you can only \"generially\" zip\n * iterables with homogeneous types, so you cannot mix types like <A, B> like\n * you can with izip2().\n */\nexport function* izipMany<T>(...iters: Iterable<T>[]): IterableIterator<T[]> {\n // Make them all iterables\n const iterables = iters.map(iter);\n\n for (;;) {\n const heads: IteratorResult<T, undefined>[] = iterables.map((xs) => xs.next());\n if (every(heads, (h) => !h.done)) {\n yield heads.map((h) => h.value as T);\n } else {\n // One of the iterables exhausted\n return;\n }\n }\n}\n\n/**\n * Return successive `r`-length permutations of elements in the iterable.\n *\n * If `r` is not specified, then `r` defaults to the length of the iterable and\n * all possible full-length permutations are generated.\n *\n * Permutations are emitted in lexicographic sort order. So, if the input\n * iterable is sorted, the permutation tuples will be produced in sorted order.\n *\n * Elements are treated as unique based on their position, not on their value.\n * So if the input elements are unique, there will be no repeat values in each\n * permutation.\n */\nexport function* permutations<T>(iterable: Iterable<T>, r?: number): IterableIterator<T[]> {\n const pool = Array.from(iterable);\n const n = pool.length;\n const x = r ?? n;\n\n if (x > n) {\n return;\n }\n\n let indices: number[] = Array.from(range(n));\n const cycles: number[] = Array.from(range(n, n - x, -1));\n const poolgetter = (i: number) => pool[i];\n\n yield indices.slice(0, x).map(poolgetter);\n\n while (n > 0) {\n let cleanExit = true;\n for (const i of range(x - 1, -1, -1)) {\n cycles[i] -= 1;\n if (cycles[i] === 0) {\n indices = indices\n .slice(0, i)\n .concat(indices.slice(i + 1))\n .concat(indices.slice(i, i + 1));\n cycles[i] = n - i;\n } else {\n const j: number = cycles[i];\n\n const [p, q] = [indices[indices.length - j], indices[i]];\n indices[i] = p;\n indices[indices.length - j] = q;\n yield indices.slice(0, x).map(poolgetter);\n cleanExit = false;\n break;\n }\n }\n\n if (cleanExit) {\n return;\n }\n }\n}\n\n/**\n * Returns an iterator that produces values over and over again. Runs\n * indefinitely unless the times argument is specified.\n */\nexport function* repeat<T>(thing: T, times?: number): IterableIterator<T> {\n if (times === undefined) {\n for (;;) {\n yield thing;\n }\n } else {\n for (const _ of range(times)) {\n yield thing;\n }\n }\n}\n\n/**\n * Returns an iterator that produces elements from the iterable as long as the\n * predicate is true.\n */\nexport function* takewhile<T>(iterable: Iterable<T>, predicate: Predicate<T>): IterableIterator<T> {\n let index = 0;\n const it = iter(iterable);\n let res: IteratorResult<T>;\n while (!(res = it.next()).done) {\n const value = res.value;\n if (!predicate(value, index++)) return; // early return, so we cannot use for..of loop!\n yield value;\n }\n}\n\nexport function zipLongest2<T1, T2, D>(xs: Iterable<T1>, ys: Iterable<T2>, filler?: D): [T1 | D, T2 | D][] {\n return Array.from(izipLongest2(xs, ys, filler));\n}\n\nexport function zipLongest3<T1, T2, T3, D>(\n xs: Iterable<T1>,\n ys: Iterable<T2>,\n zs: Iterable<T3>,\n filler?: D,\n): [T1 | D, T2 | D, T3 | D][] {\n return Array.from(izipLongest3(xs, ys, zs, filler));\n}\n\nexport const izipLongest = izipLongest2;\nexport const zipLongest = zipLongest2;\n\nexport function zipMany<T>(...iters: Iterable<T>[]): T[][] {\n return Array.from(izipMany(...iters));\n}\n","import { count, ifilter, imap, izip, izip3, takewhile } from \"./itertools\";\nimport type { Predicate, Primitive } from \"./types\";\nimport { identityPredicate, keyToCmp, numberIdentity, primitiveIdentity } from \"./utils\";\n\n/**\n * Returns the first item in the iterable for which the predicate holds, if\n * any. If no predicate is given, it will return the first value returned by\n * the iterable.\n */\nexport function find<T>(iterable: Iterable<T>, predicate?: Predicate<T>): T | undefined {\n const it = iter(iterable);\n if (predicate === undefined) {\n const value = it.next();\n return value.done ? undefined : value.value;\n } else {\n let res: IteratorResult<T>;\n let i = 0;\n while (!(res = it.next()).done) {\n const value = res.value;\n if (predicate(value, i++)) {\n return value;\n }\n }\n return undefined;\n }\n}\n\n/**\n * Returns true when all of the items in iterable are truthy. An optional key\n * function can be used to define what truthiness means for this specific\n * collection.\n *\n * Examples:\n *\n * all([]) // => true\n * all([0]) // => false\n * all([0, 1, 2]) // => false\n * all([1, 2, 3]) // => true\n *\n * Examples with using a key function:\n *\n * all([2, 4, 6], n => n % 2 === 0) // => true\n * all([2, 4, 5], n => n % 2 === 0) // => false\n *\n */\nexport function every<T>(iterable: Iterable<T>, predicate: Predicate<T> = identityPredicate): boolean {\n let index = 0;\n for (const item of iterable) {\n if (!predicate(item, index++)) {\n return false;\n }\n }\n return true;\n}\n\n/**\n * Returns true when some of the items in iterable are truthy. An optional key\n * function can be used to define what truthiness means for this specific\n * collection.\n *\n * Examples:\n *\n * some([]) // => false\n * some([0]) // => false\n * some([0, 1, null, undefined]) // => true\n *\n * Examples with using a key function:\n *\n * some([1, 4, 5], n => n % 2 === 0) // => true\n * some([{name: 'Bob'}, {name: 'Alice'}], person => person.name.startsWith('C')) // => false\n *\n */\nexport function some<T>(iterable: Iterable<T>, predicate: Predicate<T> = identityPredicate): boolean {\n let index = 0;\n for (const item of iterable) {\n if (predicate(item, index++)) {\n return true;\n }\n }\n return false;\n}\n\n/**\n * Alias of `every()`.\n */\nexport const all = every;\n\n/**\n * Alias of `some()`.\n */\nexport const any = some;\n\n/**\n * Returns true when any of the items in the iterable are equal to the target object.\n *\n * Examples:\n *\n * contains([], 'whatever') // => false\n * contains([3], 42) // => false\n * contains([3], 3) // => true\n * contains([0, 1, 2], 2) // => true\n *\n */\nexport function contains<T>(haystack: Iterable<T>, needle: T): boolean {\n return some(haystack, (x) => x === needle);\n}\n\n/**\n * Returns an iterable of enumeration pairs. Iterable must be a sequence, an\n * iterator, or some other object which supports iteration. The elements\n * produced by returns a tuple containing a counter value (starting from 0 by\n * default) and the values obtained from iterating over given iterable.\n *\n * Example:\n *\n * import { enumerate } from 'itertools';\n *\n * console.log([...enumerate(['hello', 'world'])]);\n * // [0, 'hello'], [1, 'world']]\n */\nexport function* enumerate<T>(iterable: Iterable<T>, start = 0): IterableIterator<[number, T]> {\n let index: number = start;\n for (const value of iterable) {\n yield [index++, value];\n }\n}\n\n/**\n * Non-lazy version of ifilter().\n */\nexport function filter<T, N extends T>(iterable: Iterable<T>, predicate: (item: T, index: number) => item is N): N[];\nexport function filter<T>(iterable: Iterable<T>, predicate: Predicate<T>): T[];\nexport function filter<T>(iterable: Iterable<T>, predicate: Predicate<T>): T[] {\n return Array.from(ifilter(iterable, predicate));\n}\n\n/**\n * Returns an iterator object for the given iterable. This can be used to\n * manually get an iterator for any iterable datastructure. The purpose and\n * main use case of this function is to get a single iterator (a thing with\n * state, think of it as a \"cursor\") which can only be consumed once.\n */\nexport function iter<T>(iterable: Iterable<T>): IterableIterator<T> {\n return iterable[Symbol.iterator]() as IterableIterator<T>;\n // ^^^^^^^^^^^^^^^^^^^^^^ Not safe!\n}\n\n/**\n * Non-lazy version of imap().\n */\nexport function map<T, V>(iterable: Iterable<T>, mapper: (item: T) => V): V[] {\n return Array.from(imap(iterable, mapper));\n}\n\n/**\n * Return the largest item in an iterable. Only works for numbers, as ordering\n * is pretty poorly defined on any other data type in JS. The optional `keyFn`\n * argument specifies a one-argument ordering function like that used for\n * sorted().\n *\n * If the iterable is empty, `undefined` is returned.\n *\n * If multiple items are maximal, the function returns either one of them, but\n * which one is not defined.\n */\nexport function max<T>(iterable: Iterable<T>, keyFn: (item: T) => number = numberIdentity): T | undefined {\n return reduce2(iterable, (x, y) => (keyFn(x) > keyFn(y) ? x : y));\n}\n\n/**\n * Return the smallest item in an iterable. Only works for numbers, as\n * ordering is pretty poorly defined on any other data type in JS. The\n * optional `keyFn` argument specifies a one-argument ordering function like\n * that used for sorted().\n *\n * If the iterable is empty, `undefined` is returned.\n *\n * If multiple items are minimal, the function returns either one of them, but\n * which one is not defined.\n */\nexport function min<T>(iterable: Iterable<T>, keyFn: (item: T) => number = numberIdentity): T | undefined {\n return reduce2(iterable, (x, y) => (keyFn(x) < keyFn(y) ? x : y));\n}\n\n/**\n * Internal helper for the range function\n */\nfunction range_(start: number, stop: number, step: number): IterableIterator<number> {\n const counter = count(start, step);\n const pred = step >= 0 ? (n: number) => n < stop : (n: number) => n > stop;\n return takewhile(counter, pred);\n}\n\n/**\n * Returns an iterator producing all the numbers in the given range one by one,\n * starting from `start` (default 0), as long as `i < stop`, in increments of\n * `step` (default 1).\n *\n * `range(a)` is a convenient shorthand for `range(0, a)`.\n *\n * Various valid invocations:\n *\n * range(5) // [0, 1, 2, 3, 4]\n * range(2, 5) // [2, 3, 4]\n * range(0, 5, 2) // [0, 2, 4]\n * range(5, 0, -1) // [5, 4, 3, 2, 1]\n * range(-3) // []\n *\n * For a positive `step`, the iterator will keep producing values `n` as long\n * as the stop condition `n < stop` is satisfied.\n *\n * For a negative `step`, the iterator will keep producing values `n` as long\n * as the stop condition `n > stop` is satisfied.\n *\n * The produced range will be empty if the first value to produce already does\n * not meet the value constraint.\n */\nexport function range(stop: number): IterableIterator<number>;\nexport function range(start: number, stop: number, step?: number): IterableIterator<number>;\nexport function range(startOrStop: number, definitelyStop?: number, step = 1): IterableIterator<number> {\n if (definitelyStop !== undefined) {\n return range_(startOrStop /* as start */, definitelyStop, step);\n } else {\n return range_(0, startOrStop /* as stop */, step);\n }\n}\n\n/**\n * Apply function of two arguments cumulatively to the items of sequence, from\n * left to right, so as to reduce the sequence to a single value. For example:\n *\n * reduce([1, 2, 3, 4, 5], (x, y) => x + y, 0)\n *\n * calculates\n *\n * (((((0+1)+2)+3)+4)+5)\n *\n * The left argument, `x`, is the accumulated value and the right argument,\n * `y`, is the update value from the sequence.\n *\n * **Difference between `reduce()` and `reduce\\_()`**: `reduce()` requires an\n * explicit initializer, whereas `reduce_()` will automatically use the first\n * item in the given iterable as the initializer. When using `reduce()`, the\n * initializer value is placed before the items of the sequence in the\n * calculation, and serves as a default when the sequence is empty. When using\n * `reduce_()`, and the given iterable is empty, then no default value can be\n * derived and `undefined` will be returned.\n */\nexport function reduce<T>(iterable: Iterable<T>, reducer: (agg: T, item: T, index: number) => T): T | undefined;\nexport function reduce<T, O>(iterable: Iterable<T>, reducer: (agg: O, item: T, index: number) => O, start: O): O;\nexport function reduce<T, O>(\n iterable: Iterable<T>,\n reducer: ((agg: T, item: T, index: number) => T) | ((agg: O, item: T, index: number) => O),\n start?: O,\n): O | (T | undefined) {\n if (start === undefined) {\n return reduce2(iterable, reducer as (agg: T, item: T, index: number) => T);\n } else {\n return reduce3(iterable, reducer as (agg: O, item: T, index: number) => O, start);\n }\n}\n\nfunction reduce3<T, O>(iterable: Iterable<T>, reducer: (agg: O, item: T, index: number) => O, start: O): O {\n let output = start;\n let index = 0;\n for (const item of iterable) {\n output = reducer(output, item, index++);\n }\n return output;\n}\n\nfunction reduce2<T>(iterable: Iterable<T>, reducer: (agg: T, item: T, index: number) => T): T | undefined {\n const it = iter(iterable);\n const start = find(it);\n if (start === undefined) {\n return undefined;\n } else {\n return reduce3(it, reducer, start);\n }\n}\n\n/**\n * Return a new sorted list from the items in iterable.\n *\n * Has two optional arguments:\n *\n * * `keyFn` specifies a function of one argument providing a primitive\n * identity for each element in the iterable. that will be used to compare.\n * The default value is to use a default identity function that is only\n * defined for primitive types.\n *\n * * `reverse` is a boolean value. If `true`, then the list elements are\n * sorted as if each comparison were reversed.\n */\nexport function sorted<T>(\n iterable: Iterable<T>,\n keyFn: (item: T) => Primitive = primitiveIdentity,\n reverse = false,\n): T[] {\n const result = Array.from(iterable);\n result.sort(keyToCmp(keyFn)); // sort in-place\n\n if (reverse) {\n result.reverse(); // reverse in-place\n }\n\n return result;\n}\n\n/**\n * Sums the items of an iterable from left to right and returns the total. The\n * sum will defaults to 0 if the iterable is empty.\n */\nexport function sum(iterable: Iterable<number>): number {\n return reduce(iterable, (x, y) => x + y, 0);\n}\n\n/**\n * See izip.\n */\nexport function zip<T1, T2>(xs: Iterable<T1>, ys: Iterable<T2>): [T1, T2][] {\n return Array.from(izip(xs, ys));\n}\n\n/**\n * See izip3.\n */\nexport function zip3<T1, T2, T3>(xs: Iterable<T1>, ys: Iterable<T2>, zs: Iterable<T3>): [T1, T2, T3][] {\n return Array.from(izip3(xs, ys, zs));\n}\n","import { find } from \"./builtins\";\nimport { ifilter, imap } from \"./itertools\";\nimport { flatten } from \"./more-itertools\";\nimport type { Predicate } from \"./types\";\n\nfunction isNullish<T>(x: T): x is NonNullable<T> {\n return x != null;\n}\n\nfunction isDefined(x: unknown): boolean {\n return x !== undefined;\n}\n\n/**\n * Returns an iterable, filtering out any \"nullish\" values from the iterable.\n *\n * >>> compact([1, 2, undefined, 3, null])\n * [1, 2, 3]\n *\n * For an eager version, @see compact().\n */\nexport function icompact<T>(iterable: Iterable<T | null | undefined>): IterableIterator<T> {\n return ifilter(iterable, isNullish);\n}\n\n/**\n * Returns an array, filtering out any \"nullish\" values from the iterable.\n *\n * >>> compact([1, 2, undefined, 3, null])\n * [1, 2, 3]\n *\n * For a lazy version, @see icompact().\n */\nexport function compact<T>(iterable: Iterable<T | null | undefined>): T[] {\n return Array.from(icompact(iterable));\n}\n\n/**\n * Removes all \"nullish\" values from the given object. Returns a new object.\n *\n * >>> compactObject({ a: 1, b: undefined, c: 0, d: null })\n * { a: 1, c: 0 }\n *\n */\nexport function compactObject<K extends string, V>(obj: Record<K, V | null | undefined>): Record<K, V> {\n const result = {} as Record<K, V>;\n for (const [key, value_] of Object.entries(obj)) {\n const value = value_ as V | null | undefined;\n if (value != null) {\n result[key as K] = value;\n }\n }\n return result;\n}\n\n/**\n * Almost an alias of find(). There only is a difference if no key fn is\n * provided. In that case, `find()` will return the first item in the iterable,\n * whereas `first()` will return the first non-`undefined` value in the\n * iterable.\n */\nexport function first<T>(iterable: Iterable<T>, keyFn?: Predicate<T>): T | undefined {\n return find(iterable, keyFn ?? isDefined);\n}\n\n/**\n * Returns 0 or more values for every value in the given iterable.\n * Technically, it's just calling map(), followed by flatten(), but it's a very\n * useful operation if you want to map over a structure, but not have a 1:1\n * input-output mapping. Instead, if you want to potentially return 0 or more\n * values per input element, use flatmap():\n *\n * For example, to return all numbers `n` in the input iterable `n` times:\n *\n * >>> const repeatN = n => repeat(n, n);\n * >>> [...flatmap([0, 1, 2, 3, 4], repeatN)]\n * [1, 2, 2, 3, 3, 3, 4, 4, 4, 4] // note: no 0\n *\n */\nexport function flatmap<T, S>(iterable: Iterable<T>, mapper: (item: T) => Iterable<S>): IterableIterator<S> {\n return flatten(imap(iterable, mapper));\n}\n"]}