169 lines
4.8 KiB
TypeScript
169 lines
4.8 KiB
TypeScript
// Lispts: Scheme Interpreter in TypeScript
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const program = '(begin (define r 10) (* pi (* r r)))'
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//--------- types ------------
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type LSymbolType = string // A Lisp Symbol is implemented as TypeScript string
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type LNumber = number // A Lisp Number is implemented as TypeScript number
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type Atom = LSymbolType | number // A Lisp Atom is a Symbol or Number impl
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type List = Array<any> // A Lisp List is implemented as a TypeScript array
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type Exp = Atom | List // A Lisp expression is an Atom or List
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type Env = Map<string, any>
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//---------- utils -------------
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class LSymbol {
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readonly value: string
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constructor(value: string) {
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this.value = value
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}
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toString(): string {
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return this.value
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}
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}
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const deepEqual = (a: any, b: any): boolean => {
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if (a === b) return true
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if (
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typeof a !== 'object' ||
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typeof b !== 'object' ||
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a === null ||
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b === null
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)
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return false
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const keyA = Object.keys(a)
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const keyB = Object.keys(b)
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if (keyA.length !== keyB.length) return false
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for (const key of keyA) {
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if (!keyB.includes(key) || !deepEqual(a[key], b[key])) return false
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}
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return true
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}
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//---------- Parsing: parse, tokenize, and read_from_tokens ----------------
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/**
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* Read a Scheme expression from a string.
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*/
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const parse = (program: string): Exp => readFromTokens(tokenize(program))
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/**
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* Convert a string into a list of tokens.
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*/
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const tokenize = (char: string): string[] =>
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char
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.replaceAll('(', ' ( ')
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.replaceAll(')', ' ) ')
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.split(' ')
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.filter((s) => s)
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/**
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* Numbers become numbers; every other token is a symbol(LSymbol).
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*/
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const atom = (token: string): Atom =>
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isNaN(Number(token)) ? (token as LSymbolType) : Number(token)
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/**
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* Read an expression from a sequence of tokens
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*/
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const readFromTokens = (tokens: string[]): Exp => {
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if (tokens.length === 0) {
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throw new Error('unexpected EOF while reading')
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}
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const token = tokens.shift()
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if (token === '(') {
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const l = []
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while (tokens[0] !== ')') {
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l.push(readFromTokens(tokens))
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}
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tokens.shift()
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return l
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} else if (token === ')') {
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throw new Error('unexpected )')
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} else {
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return atom(token as string)
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}
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}
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// ---------------- Environments ------------------
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/**
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* An environment with some Scheme standard procedures
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*/
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const standardEnv = (): Env => {
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let env: Env = new Map()
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env.set('+', (a: number, b: number) => a + b)
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env.set('-', (a: number, b: number) => a - b)
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env.set('*', (a: number, b: number) => a * b)
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env.set('/', (a: number, b: number) => a / b)
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env.set('>', (a: number, b: number) => a > b)
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env.set('<', (a: number, b: number) => a < b)
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env.set('>=', (a: number, b: number) => a >= b)
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env.set('<=', (a: number, b: number) => a <= b)
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env.set('=', (a: number, b: number) => a === b)
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env.set('append', (a: any[], b: any[]) => a.concat(b))
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env.set('apply', (proc: Function, args: any[]) => proc(...args))
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env.set('begin', (...x: any) => x[x.length - 1])
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env.set('car', (...x: any[]) => x[0])
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env.set('cdr', (...x: any[]) => x.slice(1))
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env.set('cons', (x: any, y: any[]) => [x, ...y])
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env.set('eq?', (a: any, b: any) => Object.is(a, b))
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env.set('equal?', (a: any, b: any) => deepEqual(a, b))
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env.set('expt', Math.pow)
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env.set('length', (x: any[]) => x.length)
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env.set('list', (...x: any[]) => Array.from(x))
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env.set('list?', (x: any) => Array.isArray(x))
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env.set('map', (func: (value: any, index: number, array: any[]) => unknown, arr: any[]) => arr.map(func))
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env.set('not', (x: boolean) => !x)
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env.set('null?', (x: any[]) => x.length === 0)
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env.set('number?', (x: any) => typeof x === 'number')
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env.set('print', console.log)
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env.set('pi', Math.PI)
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env.set('procedure?', (x: any) => typeof x === 'function')
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env.set('symbol?', (x: any) => x instanceof LSymbol)
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Object.entries(Math).reduce((acc, [key, value]) => {
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if (typeof value === 'function') {
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acc.set(key,value)
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}
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return acc
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},env)
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return env
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}
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const globalEnv = standardEnv()
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/**
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* Evaluate an expression in an environment.
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*/
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const evalScheme = (x: Exp, env = globalEnv): Exp => {
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if (typeof x === 'string') {
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// variable reference
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return env.get(x) ?? new Error('Undefined symbol:' + x)
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} else if (typeof x === 'number') {
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return x
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} else if (Array.isArray(x) && x[0] === 'if') {
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const [_, test, consq, alt] = x
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const exp = evalScheme(test, env) ? consq : alt
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return evalScheme(exp, env)
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} else if (Array.isArray(x) && x[0] === 'define') {
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const [_, symbol, exp] = x
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const value = evalScheme(exp, env)
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env.set(symbol, value)
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return value
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} else {
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const [op, ...args] = (x as List).map((e: Exp) => evalScheme(e, env))
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if (typeof op === 'function') {
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return (op as Function)(...args)
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} else {
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throw new Error(`${op} is not function`)
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}
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}
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}
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console.log(evalScheme(parse(program)))
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