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kotlin-itertools

Maven Central CI License

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Multiplatform combinatoric sequences for Kotlin, inspired by python-itertools.

Initially built as part of my solutions for Advent of Code 2023.

Installation

repositories {
    mavenCentral()
}

dependencies {
    implementation("com.michael-bull.kotlin-itertools:kotlin-itertools:1.0.0")
}

Usage

Combinations

Returns a sequence that yields length-sized combinations from this list.

The combination tuples are emitted in lexicographic order according to the order of this list.

fun <T> List<T>.combinations(length: Int = size): Sequence<List<T>>

fun <T> List<T>.pairCombinations(): Sequence<Pair<T, T>>

fun <T> List<T>.tripleCombinations(): Sequence<Triple<T, T, T>>
Examples
import com.github.michaelbull.itertools.combinations
import com.github.michaelbull.itertools.pairCombinations
import com.github.michaelbull.itertools.tripleCombinations

// [[A, B], [A, C], [A, D], [B, C], [B, D], [C, D]]
fun example1(): List<List<Char>> {
    return "ABCD".toList()
        .combinations(length = 2)
        .toList()
}

// [(A, B), (A, D), (A, C), (B, D), (B, C), (D, C)]
fun example2(): List<Pair<Char, Char>> {
    return "ABDC".toList()
        .pairCombinations()
        .toList()
}

// [(0, 1, 2), (0, 1, 3), (0, 2, 3), (1, 2, 3)]
fun example3(): List<Triple<Int, Int, Int>> {
    return (0..3).toList()
        .tripleCombinations()
        .toList()
}

Permutations

Returns a sequence that yields length-sized permutations from this list.

The permutation tuples are emitted in lexicographic order according to the order of this list.

fun <T> List<T>.permutations(length: Int = size): Sequence<List<T>>

fun <T> List<T>.pairPermutations(): Sequence<Pair<T, T>>

fun <T> List<T>.triplePermutations(): Sequence<Triple<T, T, T>>
Examples
import com.github.michaelbull.itertools.permutations
import com.github.michaelbull.itertools.pairPermutations
import com.github.michaelbull.itertools.triplePermutations

// [[A, B], [A, C], [A, D], [B, A], [B, C], [B, D], [C, A], [C, B], [C, D], [D, A], [D, B], [D, C]]
fun example1(): List<List<Char>> {
    return "ABCD".toList()
        .permutations(length = 2)
        .toList()
}

// [(0, 1), (0, 2), (1, 0), (1, 2), (2, 0), (2, 1)]
fun example2(): List<Pair<Int, Int>> {
    return (0..2).toList()
        .pairPermutations()
        .toList()
}

// [(0, 1, 2), (0, 2, 1), (1, 0, 2), (1, 2, 0), (2, 0, 1), (2, 1, 0)]
fun example3(): List<Triple<Int, Int, Int>> {
    return (0..2).toList()
        .triplePermutations()
        .toList()
}

Cartesian Product

Returns a sequence that yields the Cartesian product of the input iterables/lists.

The product tuples are emitted in lexicographic order according to the order of this iterable/list.

fun <A, B> Iterable<A>.product(other: Iterable<B>): Sequence<Pair<A, B>>
fun <A, B, C> Iterable<A>.product(first: Iterable<B>, second: Iterable<C>): Sequence<Triple<A, B, C>>

fun <A, B> Pair<Iterable<A>, Iterable<B>>.product(): Sequence<Pair<A, B>>
fun <A, B, C> Triple<Iterable<A>, Iterable<B>, Iterable<C>>.product(): Sequence<Triple<A, B, C>>

fun <T> List<List<T>>.product(): Sequence<List<T>>
Examples
import com.github.michaelbull.itertools.product

// [(A, x), (A, y), (B, x), (B, y), (C, x), (C, y), (D, x), (D, y)]
fun example1(): List<Pair<Char, Char>> {
    val a = "ABCD".toList()
    val b = "xy".toList()
    return a.product(b).toList()
}

// [(A, C, E), (A, C, F), (A, D, E), (A, D, F), (B, C, E), (B, C, F), (B, D, E), (B, D, F)]
fun example2(): List<Triple<Char, Char, Char>> {
    val a = "AB".toList()
    val b = "CD".toList()
    val c = "EF".toList()

    return Triple(a, b, c)
        .product()
        .toList()
}

// [[A, x], [A, y], [B, x], [B, y], [C, x], [C, y], [D, x], [D, y]]
fun example3(): List<List<Char>> {
    val a = "ABCD".toList()
    val b = "xy".toList()

    return listOf(a, b)
        .product()
        .toList()
}

Contributing

Bug reports and pull requests are welcome on GitHub.

License

This project is available under the terms of the ISC license. See the LICENSE file for the copyright information and licensing terms.