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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 | 1x 7x 7x 20x 5x 15x 6x 6x 9x 1x 13x 11x 2x 160x 65x 95x 95x 95x 1x 70x 1x 200x 200x 89x 111x 155x 86x 25x 1x 132x 67x 65x 160x 65x 95x 95x 88x 88x 95x 1x 11x 11x 22x 11x 47x 12x 23x 34x 78x 1x 176x 176x 232x 176x | /** * Returns a new array with the first occurrence of an element removed from * the array passed. * * @param {T[]} elems * The original array. * @param {T} elem * The element to remove * @return {T[]} * A new array with the element removed if original array contained it. */ export function removeFirst<T>(elems: T[], elem: T): T[] { let found = false; return elems.filter(e => { if (found) { return true; } else { if (e === elem) { found = true; return false; } else { return true; } } }); } /** * Returns a new array with element at index `idx` replaced with `elem`. * * @param {T[]} elems * The original array. * @param {number} idx * The index at which to replace. * @param {T} elem * The element to place at the specified index. * @return {T[]} * A new array with the element replaced. */ export function replace<T>(elems: T[], idx: number, elem: T): T[] { if (idx >= 0 && idx < elems.length) { return [...elems.slice(0, idx), elem, ...elems.slice(idx + 1)]; } else { return [...elems]; } } function tails<T>(elems: T[]): T[][] { if (elems.length === 0) { return [[]]; } const a = tails(elems.slice(1)); a.unshift(elems.slice(0)); return a; } export function flatten<T>(elems: T[][]): T[] { return [].concat.apply([], elems); } /** * Compare 2 arrays using `===`. No deep comparaison. * * @param {T[]} a * First array * @param {T[]} b * Second array * @return {boolean} * True if `a` and `b` contains the same values in the same order. */ export function arrayEquals<T>(a: T[], b: T[]): boolean { Iif (!(Array.isArray(a) && Array.isArray(b))) { return false; } if (a.length !== b.length) { return false; } for (let i = 0; i < a.length; i++) { if (a[i] !== b[i]) { return false; } } return true; } /** * Returns combinations of elements from an array. * * @param {number} k * The number of elements in each combination. * @param {T[]} elems * The array of elements to pull from. * @return {T[][]} * All possible combinations of `k` elements among `elems`. */ export function combinations<T>(k: number, elems: T[]): T[][] { if (k <= 0) { return [[]]; } // Get all tails return tails(elems).reduce((acc, tailOfElems) => { // For each tail ... if (tailOfElems.length === 0) { return acc; } // Recursion : get all combinations of (k-1) elements with end elements const tailCombinations = combinations(k - 1, tailOfElems.slice(1)); // Prepend first element to all combinations const comb = tailCombinations.map(tailCombination => { tailCombination.unshift(tailOfElems[0]); return tailCombination; }); // Add to result return acc.concat(comb); }, [] as T[][]); } export function allCombinations<T>(elems: T[]): T[][] { let allComb: T[][] = []; for (let i = 0; i <= elems.length; i++) { allComb = allComb.concat(combinations(i, elems)); } return allComb; } export function cartesianProduct<T>(...sets: T[][]): T[][] { return sets.reduce( (acc: T[][], set: T[]) => { return flatten( acc.map((x: T[]) => { return set.map((y: T) => { return [...x, y]; }); }) ); }, [[]] as T[][] ); } /** * Compute the fractional n! * * Here we are using an iterative version of this function for better * performance over a recursive version. * * @param {number} n * The number to compute the factorial from * @return {number} * The result of n! */ export function factorial(n: number): number { let returnValue = 1; for (let i = 2; i <= n; i++) { returnValue = returnValue * i; } return returnValue; } |