export class ASCIILexicalTable { readonly startCode: number; readonly endCode: number; readonly maxStrWidth: number; private readonly widthToSize: number[]; private readonly rangeCount: (i: number, j: number) => number; constructor(startCode: number, endCode: number, maxStrWidth: number) { if (startCode > endCode) { throw new Error('Invalid ASCII code! startCode is greater than endCode.'); } if (startCode < 0 || endCode > 128) { throw new Error('Invalid ASCII code range!'); } if (maxStrWidth <= 0) { throw new Error('Invalid max string width!'); } this.maxStrWidth = maxStrWidth; this.startCode = startCode; this.endCode = endCode; /** * @param i smaller - inclusive * @param j larger - inclusive * @returns number */ this.rangeCount = (i: number, j: number): number => j - i + 1; this.widthToSize = []; this.populateWidthToSize(); if (this.size() > Number.MAX_SAFE_INTEGER) { console.warn( `[!] Warning: ASCIILexicalTable size is larger than the Number.MAX_SAFE_INTEGER: ${this.size()} > ${ Number.MAX_SAFE_INTEGER }` ); } } private populateWidthToSize() { const chars = this.rangeCount(this.startCode, this.endCode); for (let i = 0, count = 0; i < this.maxStrWidth; i += 1) { count = count * chars + chars; this.widthToSize[i] = count; } } private getWidthToSize(width: number): number { return this.widthToSize[width - 1]; } first(): string { return String.fromCharCode(this.startCode); } last(): string { let str = ''; for (let i = 0; i < this.maxStrWidth; i += 1) { str += String.fromCharCode(this.endCode); } return str; } hasIndex(index: number): boolean { return index >= 0 && index < this.size(); } has(str: string): boolean { if (str.length === 0 || str.length > this.maxStrWidth) { return false; } let charCode: number; for (let i = 0; i < str.length; i += 1) { charCode = str.charCodeAt(i); if (charCode < this.startCode || charCode > this.endCode) { return false; } } return true; } size(): number { return this.getWidthToSize(this.maxStrWidth); } index(str: string): number { if (!this.has(str)) { return -1; } let index = 0; const chars = this.rangeCount(this.startCode, this.endCode); for (let i = 0; i < this.maxStrWidth; i += 1) { const code = str.charCodeAt(i); if (Number.isNaN(code)) { return index; } const opStrWidth = this.maxStrWidth - i; const opStrTableSize = this.getWidthToSize(opStrWidth); const segmentSize = opStrTableSize / chars; const codeIndex = code - this.startCode; const emptyCount = i === 0 ? 0 : 1; index += segmentSize * codeIndex + emptyCount; } return index; } get(index: number): string | undefined { if (!this.hasIndex(index)) { return undefined; } let str = ''; const chars = this.rangeCount(this.startCode, this.endCode); for (let toIndex = index, i = 0; i < this.maxStrWidth; i += 1) { const opStrWidth = this.maxStrWidth - i; const opStrTableSize = this.getWidthToSize(opStrWidth); const segmentSize = opStrTableSize / chars; const segmentIndex = Math.floor(toIndex / segmentSize); str += String.fromCharCode(this.startCode + segmentIndex); toIndex -= segmentIndex * segmentSize; if (toIndex === 0) { break; } toIndex -= 1; } return str; } previous(str: string): string | undefined { if (!this.has(str)) return undefined; let prev = str; const lastCode = prev.charCodeAt(prev.length - 1); prev = prev.slice(0, prev.length - 1); if (lastCode === this.startCode) { if (prev.length === 0) return undefined; return prev; } prev += String.fromCharCode(lastCode - 1); while (prev.length < this.maxStrWidth) { prev += String.fromCharCode(this.endCode); } return prev; } next(str: string): string | undefined { if (!this.has(str)) return undefined; let next = str; if (next.length < this.maxStrWidth) { next += String.fromCharCode(this.startCode); return next; } for (let i = next.length - 1; i >= 0; i -= 1) { const lastCode = next.charCodeAt(i); if (lastCode !== this.endCode) { next = next.slice(0, i) + String.fromCharCode(lastCode + 1); return next; } next = next.slice(0, i); } return undefined; } between(a: string, b: string): string | undefined { if (!this.has(a) || !this.has(b)) { return undefined; } const centerIndex = Math.floor((this.index(a) + this.index(b)) / 2); const str = this.get(centerIndex); if (str === a || str === b) return undefined; return str; } nBetween(n: number, a: string, b: string): string[] | undefined { if (n <= 0 || !this.has(a) || !this.has(b)) { return undefined; } const indexA = this.index(a); const indexB = this.index(b); const nBetween = Math.max(indexA, indexB) - Math.min(indexA, indexB); if (nBetween < n) { return undefined; } const segmentSize = Math.floor(nBetween / (n + 1)); if (segmentSize === 0) return undefined; const items: string[] = []; for ( let segmentIndex = indexA + segmentSize; segmentIndex < indexB; segmentIndex += segmentSize ) { if (items.length === n) break; const str = this.get(segmentIndex); if (!str) break; items.push(str); } if (items.length < n) { return undefined; } return items; } } // const printLex = (lex: ASCIILexicalTable) => { // const padRight = (s: string, maxWidth: number, padding: string): string => { // let ns = s; // for (let i = s.length; i < maxWidth; i += 1) { // ns += padding; // } // return ns; // }; // const formattedLine = (n: number, item: string): string => // `|${padRight(n.toString(), lex.size().toString().length, ' ')}|${item}|`; // const hr = `|${padRight('-', lex.size().toString().length, '-')}|${padRight( // '-', // lex.maxStrWidth, // '-' // )}|`; // console.log(`All lexicographic string combination in order.`); // console.log(`Start ASCII code: "${lex.startCode}"`); // console.log(`End ASCII code: "${lex.endCode}"`); // console.log(`Max string width: ${lex.maxStrWidth}`); // console.log(`Total String Combination Count: ${lex.size()}\n`); // console.log('Table:'); // console.log(hr); // for (let i = 0; i < lex.size(); i += 1) { // const str = lex.get(i); // if (str) { // console.log(formattedLine(i, padRight(str, lex.maxStrWidth, '_'))); // } // } // console.log(hr); // }; // console.log('\n'); // const lex = new ASCIILexicalTable('a'.charCodeAt(0), 'c'.charCodeAt(0), 3); // printLex(lex); // console.log(lex.size()); // console.log(lex.nBetween(8, ' ', '~~~~~')); // console.log(lex.between('a', 'ccc')); // console.log(lex.get(11)); // console.log(lex.get(11) === 'aaac'); // const lex4 = new ASCIILexicalTable(' '.charCodeAt(0), '~'.charCodeAt(0), 5); // console.log('Size: ', lex4.size()); // console.log('Between: ', lex4.between('7g7g5', 'caccc')); // printLex(lex4); // console.log('\n'); // const perf = () => { // const loopLength = 99999; // const lexT = new ASCIILexicalTable('a'.charCodeAt(0), 'z'.charCodeAt(0), 9); // console.log(lexT.size()); // const str = 'bcbba'; // const strI = lexT.index(str); // console.log('================'); // console.time('index'); // console.log(lexT.index(str)); // for (let i = 0; i < loopLength; i += 1) { // lexT.index(str); // } // console.timeEnd('index'); // console.log('================'); // console.time('get'); // console.log(lexT.get(strI)); // for (let i = 0; i < loopLength; i += 1) { // lexT.get(strI); // } // console.timeEnd('get'); // console.log('================'); // console.time('previous'); // console.log(lexT.previous(str)); // for (let i = 0; i < loopLength; i += 1) { // lexT.previous(str); // } // console.timeEnd('previous'); // console.log('================'); // console.time('next'); // console.log(lexT.next(str)); // for (let i = 0; i < loopLength; i += 1) { // lexT.next(str); // } // console.timeEnd('next'); // console.log('================'); // console.time('between'); // console.log(lexT.between(str, 'cbbca')); // for (let i = 0; i < loopLength; i += 1) { // lexT.between(str, 'cbbca'); // } // console.timeEnd('between'); // }; // perf(); const findNextFilledKey = ( fromIndex: number, keys: Array ): [number, string] | [-1, undefined] => { for (let j = fromIndex; j < keys.length; j += 1) { const key = keys[j]; if (typeof key === 'string') { return [j, key]; } } return [-1, undefined]; }; export const orderKeys = ( lex: ASCIILexicalTable, keys: Array ): Array | undefined => { const newKeys: string[] = []; for (let i = 0; i < keys.length; ) { const key = keys[i]; const collectedKeys: string[] = []; const [nextKeyIndex, nextKey] = findNextFilledKey(i + 1, keys); const isKey = typeof key === 'string'; if (isKey) { collectedKeys.push(key); } const keyToGenerateCount = (nextKeyIndex === -1 ? keys.length : nextKeyIndex) - (key ? i + 1 : i + 0); if (keyToGenerateCount > 0) { const generatedKeys = lex.nBetween( keyToGenerateCount, key ?? lex.first(), nextKey ?? lex.last() ); if (generatedKeys) { collectedKeys.push(...generatedKeys); } else { return lex.nBetween(keys?.length, lex.first(), lex.last()); } } newKeys.push(...collectedKeys); i += collectedKeys.length; } if (newKeys.length !== keys.length) { return undefined; } return newKeys; }; // const lex = new ASCIILexicalTable('a'.charCodeAt(0), 'b'.charCodeAt(0), 2); // const keys = [undefined, undefined]; // console.log(orderKeys(lex, keys));