################ Lispy: Scheme Interpreter in Python ## (c) Peter Norvig, 2010-14; See http://norvig.com/lispy.html ################ Types from __future__ import division Symbol = str # A Lisp Symbol is implemented as a Python str List = list # A Lisp List is implemented as a Python list Number = (int, float) # A Lisp Number is implemented as a Python int or float ################ Parsing: parse, tokenize, and read_from_tokens def parse(program): "Read a Scheme expression from a string." return read_from_tokens(tokenize(program)) def tokenize(s): "Convert a string into a list of tokens." return s.replace('(',' ( ').replace(')',' ) ').split() def read_from_tokens(tokens): "Read an expression from a sequence of tokens." if len(tokens) == 0: raise SyntaxError('unexpected EOF while reading') token = tokens.pop(0) if '(' == token: L = [] while tokens[0] != ')': L.append(read_from_tokens(tokens)) tokens.pop(0) # pop off ')' return L elif ')' == token: raise SyntaxError('unexpected )') else: return atom(token) def atom(token): "Numbers become numbers; every other token is a symbol." try: return int(token) except ValueError: try: return float(token) except ValueError: return Symbol(token) ################ Environments def standard_env(): "An environment with some Scheme standard procedures." import math, operator as op env = Env() env.update(vars(math)) # sin, cos, sqrt, pi, ... env.update({ '+':op.add, '-':op.sub, '*':op.mul, '/':op.div, '>':op.gt, '<':op.lt, '>=':op.ge, '<=':op.le, '=':op.eq, 'abs': abs, 'append': op.add, 'apply': apply, 'begin': lambda *x: x[-1], 'car': lambda x: x[0], 'cdr': lambda x: x[1:], 'cons': lambda x,y: [x] + y, 'eq?': op.is_, 'equal?': op.eq, 'length': len, 'list': lambda *x: list(x), 'list?': lambda x: isinstance(x,list), 'map': map, 'max': max, 'min': min, 'not': op.not_, 'null?': lambda x: x == [], 'number?': lambda x: isinstance(x, Number), 'procedure?': callable, 'round': round, 'symbol?': lambda x: isinstance(x, Symbol), }) return env class Env(dict): "An environment: a dict of {'var':val} pairs, with an outer Env." def __init__(self, parms=(), args=(), outer=None): self.update(zip(parms, args)) self.outer = outer def find(self, var): "Find the innermost Env where var appears." return self if (var in self) else self.outer.find(var) global_env = standard_env() ################ Interaction: A REPL def repl(prompt='lis.py> '): "A prompt-read-eval-print loop." while True: val = eval(parse(raw_input(prompt))) if val is not None: print(lispstr(val)) def lispstr(exp): "Convert a Python object back into a Lisp-readable string." if isinstance(exp, list): return '(' + ' '.join(map(lispstr, exp)) + ')' else: return str(exp) ################ Procedures class Procedure(object): "A user-defined Scheme procedure." def __init__(self, parms, body, env): self.parms, self.body, self.env = parms, body, env def __call__(self, *args): return eval(self.body, Env(self.parms, args, self.env)) ################ eval def eval(x, env=global_env): "Evaluate an expression in an environment." if isinstance(x, Symbol): # variable reference return env.find(x)[x] elif not isinstance(x, List): # constant literal return x elif x[0] == 'quote': # (quote exp) (_, exp) = x return exp elif x[0] == 'if': # (if test conseq alt) (_, test, conseq, alt) = x exp = (conseq if eval(test, env) else alt) return eval(exp, env) elif x[0] == 'define': # (define var exp) (_, var, exp) = x env[var] = eval(exp, env) elif x[0] == 'set!': # (set! var exp) (_, var, exp) = x env.find(var)[var] = eval(exp, env) elif x[0] == 'lambda': # (lambda (var...) body) (_, parms, body) = x return Procedure(parms, body, env) else: # (proc arg...) proc = eval(x[0], env) args = [eval(exp, env) for exp in x[1:]] return proc(*args)