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| 1 | +// Levenshtein distance via Myers' bit-parallel algorithm. |
| 2 | +// Inspired by fastest-levenshtein (MIT, https://github.com/ka-weihe/fastest-levenshtein). |
| 3 | + |
| 4 | +const peq = new Uint32Array(0x10000); |
| 5 | + |
| 6 | +function myers32(a: string, b: string): number { |
| 7 | + const n = a.length; |
| 8 | + const m = b.length; |
| 9 | + const lst = 1 << (n - 1); |
| 10 | + let pv = -1; |
| 11 | + let mv = 0; |
| 12 | + let sc = n; |
| 13 | + let i = n; |
| 14 | + |
| 15 | + while (i--) { |
| 16 | + peq[a.charCodeAt(i)] |= 1 << i; |
| 17 | + } |
| 18 | + |
| 19 | + for (i = 0; i < m; i++) { |
| 20 | + let eq = peq[b.charCodeAt(i)]; |
| 21 | + const xv = eq | mv; |
| 22 | + |
| 23 | + eq |= ((eq & pv) + pv) ^ pv; |
| 24 | + mv |= ~(eq | pv); |
| 25 | + pv &= eq; |
| 26 | + |
| 27 | + if (mv & lst) { |
| 28 | + sc++; |
| 29 | + } |
| 30 | + |
| 31 | + if (pv & lst) { |
| 32 | + sc--; |
| 33 | + } |
| 34 | + |
| 35 | + mv = (mv << 1) | 1; |
| 36 | + pv = (pv << 1) | ~(xv | mv); |
| 37 | + mv &= xv; |
| 38 | + } |
| 39 | + |
| 40 | + i = n; |
| 41 | + |
| 42 | + while (i--) { |
| 43 | + peq[a.charCodeAt(i)] = 0; |
| 44 | + } |
| 45 | + |
| 46 | + return sc; |
| 47 | +} |
| 48 | + |
| 49 | +function myersX(longer: string, shorter: string): number { |
| 50 | + const n = shorter.length; |
| 51 | + const m = longer.length; |
| 52 | + const mhc: number[] = []; |
| 53 | + const phc: number[] = []; |
| 54 | + const horizontalSize = Math.ceil(n / 32); |
| 55 | + const verticalSize = Math.ceil(m / 32); |
| 56 | + |
| 57 | + for (let i = 0; i < horizontalSize; i++) { |
| 58 | + phc[i] = -1; |
| 59 | + mhc[i] = 0; |
| 60 | + } |
| 61 | + |
| 62 | + let j = 0; |
| 63 | + |
| 64 | + for (; j < verticalSize - 1; j++) { |
| 65 | + let mv = 0; |
| 66 | + let pv = -1; |
| 67 | + const start = j * 32; |
| 68 | + const verticalLen = Math.min(32, m) + start; |
| 69 | + |
| 70 | + for (let k = start; k < verticalLen; k++) { |
| 71 | + peq[longer.charCodeAt(k)] |= 1 << k; |
| 72 | + } |
| 73 | + |
| 74 | + for (let i = 0; i < n; i++) { |
| 75 | + const eq = peq[shorter.charCodeAt(i)]; |
| 76 | + const pb = (phc[(i / 32) | 0] >>> i) & 1; |
| 77 | + const mb = (mhc[(i / 32) | 0] >>> i) & 1; |
| 78 | + const xv = eq | mv; |
| 79 | + const xh = ((((eq | mb) & pv) + pv) ^ pv) | eq | mb; |
| 80 | + let ph = mv | ~(xh | pv); |
| 81 | + let mh = pv & xh; |
| 82 | + |
| 83 | + if ((ph >>> 31) ^ pb) { |
| 84 | + phc[(i / 32) | 0] ^= 1 << i; |
| 85 | + } |
| 86 | + |
| 87 | + if ((mh >>> 31) ^ mb) { |
| 88 | + mhc[(i / 32) | 0] ^= 1 << i; |
| 89 | + } |
| 90 | + |
| 91 | + ph = (ph << 1) | pb; |
| 92 | + mh = (mh << 1) | mb; |
| 93 | + pv = mh | ~(xv | ph); |
| 94 | + mv = ph & xv; |
| 95 | + } |
| 96 | + |
| 97 | + for (let k = start; k < verticalLen; k++) { |
| 98 | + peq[longer.charCodeAt(k)] = 0; |
| 99 | + } |
| 100 | + } |
| 101 | + |
| 102 | + let mv = 0; |
| 103 | + let pv = -1; |
| 104 | + const start = j * 32; |
| 105 | + const verticalLen = Math.min(32, m - start) + start; |
| 106 | + |
| 107 | + for (let k = start; k < verticalLen; k++) { |
| 108 | + peq[longer.charCodeAt(k)] |= 1 << k; |
| 109 | + } |
| 110 | + |
| 111 | + let score = m; |
| 112 | + |
| 113 | + for (let i = 0; i < n; i++) { |
| 114 | + const eq = peq[shorter.charCodeAt(i)]; |
| 115 | + const pb = (phc[(i / 32) | 0] >>> i) & 1; |
| 116 | + const mb = (mhc[(i / 32) | 0] >>> i) & 1; |
| 117 | + const xv = eq | mv; |
| 118 | + const xh = ((((eq | mb) & pv) + pv) ^ pv) | eq | mb; |
| 119 | + let ph = mv | ~(xh | pv); |
| 120 | + let mh = pv & xh; |
| 121 | + |
| 122 | + score += (ph >>> (m - 1)) & 1; |
| 123 | + score -= (mh >>> (m - 1)) & 1; |
| 124 | + |
| 125 | + if ((ph >>> 31) ^ pb) { |
| 126 | + phc[(i / 32) | 0] ^= 1 << i; |
| 127 | + } |
| 128 | + |
| 129 | + if ((mh >>> 31) ^ mb) { |
| 130 | + mhc[(i / 32) | 0] ^= 1 << i; |
| 131 | + } |
| 132 | + |
| 133 | + ph = (ph << 1) | pb; |
| 134 | + mh = (mh << 1) | mb; |
| 135 | + pv = mh | ~(xv | ph); |
| 136 | + mv = ph & xv; |
| 137 | + } |
| 138 | + |
| 139 | + for (let k = start; k < verticalLen; k++) { |
| 140 | + peq[longer.charCodeAt(k)] = 0; |
| 141 | + } |
| 142 | + |
| 143 | + return score; |
| 144 | +} |
| 145 | + |
| 146 | +/** |
| 147 | + * Returns the Levenshtein edit distance between two strings. |
| 148 | + */ |
| 149 | +export function distance(first: string, second: string): number { |
| 150 | + let a = first; |
| 151 | + let b = second; |
| 152 | + |
| 153 | + if (a.length < b.length) { |
| 154 | + const tmp = b; |
| 155 | + |
| 156 | + b = a; |
| 157 | + a = tmp; |
| 158 | + } |
| 159 | + |
| 160 | + if (b.length === 0) { |
| 161 | + return a.length; |
| 162 | + } |
| 163 | + |
| 164 | + return a.length <= 32 ? myers32(a, b) : myersX(a, b); |
| 165 | +} |
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