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Created December 11, 2012 19:20
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Lispy2: (Advanced) Scheme Interpreter in Python
################ Scheme Interpreter in Python
## (c) Peter Norvig, 2010; See http://norvig.com/lispy2.html
################ Symbol, Procedure, classes
from __future__ import division
import re, sys, StringIO
class Symbol(str): pass
def Sym(s, symbol_table={}):
"Find or create unique Symbol entry for str s in symbol table."
if s not in symbol_table: symbol_table[s] = Symbol(s)
return symbol_table[s]
_quote, _if, _set, _define, _lambda, _begin, _definemacro, = map(Sym,
"quote if set! define lambda begin define-macro".split())
_quasiquote, _unquote, _unquotesplicing = map(Sym,
"quasiquote unquote unquote-splicing".split())
class Procedure(object):
"A user-defined Scheme procedure."
def __init__(self, parms, exp, env):
self.parms, self.exp, self.env = parms, exp, env
def __call__(self, *args):
return eval(self.exp, Env(self.parms, args, self.env))
################ parse, read, and user interaction
def parse(inport):
"Parse a program: read and expand/error-check it."
# Backwards compatibility: given a str, convert it to an InPort
if isinstance(inport, str): inport = InPort(StringIO.StringIO(inport))
return expand(read(inport), toplevel=True)
eof_object = Symbol('#<eof-object>') # Note: uninterned; can't be read
class InPort(object):
"An input port. Retains a line of chars."
tokenizer = r"""\s*(,@|[('`,)]|"(?:[\\].|[^\\"])*"|;.*|[^\s('"`,;)]*)(.*)"""
def __init__(self, file):
self.file = file; self.line = ''
def next_token(self):
"Return the next token, reading new text into line buffer if needed."
while True:
if self.line == '': self.line = self.file.readline()
if self.line == '': return eof_object
token, self.line = re.match(InPort.tokenizer, self.line).groups()
if token != '' and not token.startswith(';'):
return token
def readchar(inport):
"Read the next character from an input port."
if inport.line != '':
ch, inport.line = inport.line[0], inport.line[1:]
return ch
else:
return inport.file.read(1) or eof_object
def read(inport):
"Read a Scheme expression from an input port."
def read_ahead(token):
if '(' == token:
L = []
while True:
token = inport.next_token()
if token == ')': return L
else: L.append(read_ahead(token))
elif ')' == token: raise SyntaxError('unexpected )')
elif token in quotes: return [quotes[token], read(inport)]
elif token is eof_object: raise SyntaxError('unexpected EOF in list')
else: return atom(token)
# body of read:
token1 = inport.next_token()
return eof_object if token1 is eof_object else read_ahead(token1)
quotes = {"'":_quote, "`":_quasiquote, ",":_unquote, ",@":_unquotesplicing}
def atom(token):
'Numbers become numbers; #t and #f are booleans; "..." string; otherwise Symbol.'
if token == '#t': return True
elif token == '#f': return False
elif token[0] == '"': return token[1:-1].decode('string_escape')
try: return int(token)
except ValueError:
try: return float(token)
except ValueError:
try: return complex(token.replace('i', 'j', 1))
except ValueError:
return Sym(token)
def to_string(x):
"Convert a Python object back into a Lisp-readable string."
if x is True: return "#t"
elif x is False: return "#f"
elif isa(x, Symbol): return x
elif isa(x, str): return '"%s"' % x.encode('string_escape').replace('"',r'\"')
elif isa(x, list): return '('+' '.join(map(to_string, x))+')'
elif isa(x, complex): return str(x).replace('j', 'i')
else: return str(x)
def load(filename):
"Eval every expression from a file."
repl(None, InPort(open(filename)), None)
def repl(prompt='lispy> ', inport=InPort(sys.stdin), out=sys.stdout):
"A prompt-read-eval-print loop."
sys.stderr.write("Lispy version 2.0\n")
while True:
try:
if prompt: sys.stderr.write(prompt)
x = parse(inport)
if x is eof_object: return
val = eval(x)
if val is not None and out: print >> out, to_string(val)
except Exception as e:
print '%s: %s' % (type(e).__name__, e)
################ Environment class
class Env(dict):
"An environment: a dict of {'var':val} pairs, with an outer Env."
def __init__(self, parms=(), args=(), outer=None):
# Bind parm list to corresponding args, or single parm to list of args
self.outer = outer
if isa(parms, Symbol):
self.update({parms:list(args)})
else:
if len(args) != len(parms):
raise TypeError('expected %s, given %s, '
% (to_string(parms), to_string(args)))
self.update(zip(parms,args))
def find(self, var):
"Find the innermost Env where var appears."
if var in self: return self
elif self.outer is None: raise LookupError(var)
else: return self.outer.find(var)
def is_pair(x): return x != [] and isa(x, list)
def cons(x, y): return [x]+y
def callcc(proc):
"Call proc with current continuation; escape only"
ball = RuntimeWarning("Sorry, can't continue this continuation any longer.")
def throw(retval): ball.retval = retval; raise ball
try:
return proc(throw)
except RuntimeWarning as w:
if w is ball: return ball.retval
else: raise w
def add_globals(self):
"Add some Scheme standard procedures."
import math, cmath, operator as op
self.update(vars(math))
self.update(vars(cmath))
self.update({
'+':op.add, '-':op.sub, '*':op.mul, '/':op.div, 'not':op.not_,
'>':op.gt, '<':op.lt, '>=':op.ge, '<=':op.le, '=':op.eq,
'equal?':op.eq, 'eq?':op.is_, 'length':len, 'cons':cons,
'car':lambda x:x[0], 'cdr':lambda x:x[1:], 'append':op.add,
'list':lambda *x:list(x), 'list?': lambda x:isa(x,list),
'null?':lambda x:x==[], 'symbol?':lambda x: isa(x, Symbol),
'boolean?':lambda x: isa(x, bool), 'pair?':is_pair,
'port?': lambda x:isa(x,file), 'apply':lambda proc,l: proc(*l),
'eval':lambda x: eval(expand(x)), 'load':lambda fn: load(fn), 'call/cc':callcc,
'open-input-file':open,'close-input-port':lambda p: p.file.close(),
'open-output-file':lambda f:open(f,'w'), 'close-output-port':lambda p: p.close(),
'eof-object?':lambda x:x is eof_object, 'read-char':readchar,
'read':read, 'write':lambda x,port=sys.stdout:port.write(to_string(x)),
'display':lambda x,port=sys.stdout:port.write(x if isa(x,str) else to_string(x))})
return self
isa = isinstance
global_env = add_globals(Env())
################ eval (tail recursive)
def eval(x, env=global_env):
"Evaluate an expression in an environment."
while True:
if isa(x, Symbol): # variable reference
return env.find(x)[x]
elif not isa(x, list): # constant literal
return x
elif x[0] is _quote: # (quote exp)
(_, exp) = x
return exp
elif x[0] is _if: # (if test conseq alt)
(_, test, conseq, alt) = x
x = (conseq if eval(test, env) else alt)
elif x[0] is _set: # (set! var exp)
(_, var, exp) = x
env.find(var)[var] = eval(exp, env)
return None
elif x[0] is _define: # (define var exp)
(_, var, exp) = x
env[var] = eval(exp, env)
return None
elif x[0] is _lambda: # (lambda (var*) exp)
(_, vars, exp) = x
return Procedure(vars, exp, env)
elif x[0] is _begin: # (begin exp+)
for exp in x[1:-1]:
eval(exp, env)
x = x[-1]
else: # (proc exp*)
exps = [eval(exp, env) for exp in x]
proc = exps.pop(0)
if isa(proc, Procedure):
x = proc.exp
env = Env(proc.parms, exps, proc.env)
else:
return proc(*exps)
################ expand
def expand(x, toplevel=False):
"Walk tree of x, making optimizations/fixes, and signaling SyntaxError."
require(x, x!=[]) # () => Error
if not isa(x, list): # constant => unchanged
return x
elif x[0] is _quote: # (quote exp)
require(x, len(x)==2)
return x
elif x[0] is _if:
if len(x)==3: x = x + [None] # (if t c) => (if t c None)
require(x, len(x)==4)
return map(expand, x)
elif x[0] is _set:
require(x, len(x)==3);
var = x[1] # (set! non-var exp) => Error
require(x, isa(var, Symbol), "can set! only a symbol")
return [_set, var, expand(x[2])]
elif x[0] is _define or x[0] is _definemacro:
require(x, len(x)>=3)
_def, v, body = x[0], x[1], x[2:]
if isa(v, list) and v: # (define (f args) body)
f, args = v[0], v[1:] # => (define f (lambda (args) body))
return expand([_def, f, [_lambda, args]+body])
else:
require(x, len(x)==3) # (define non-var/list exp) => Error
require(x, isa(v, Symbol), "can define only a symbol")
exp = expand(x[2])
if _def is _definemacro:
require(x, toplevel, "define-macro only allowed at top level")
proc = eval(exp)
require(x, callable(proc), "macro must be a procedure")
macro_table[v] = proc # (define-macro v proc)
return None # => None; add v:proc to macro_table
return [_define, v, exp]
elif x[0] is _begin:
if len(x)==1: return None # (begin) => None
else: return [expand(xi, toplevel) for xi in x]
elif x[0] is _lambda: # (lambda (x) e1 e2)
require(x, len(x)>=3) # => (lambda (x) (begin e1 e2))
vars, body = x[1], x[2:]
require(x, (isa(vars, list) and all(isa(v, Symbol) for v in vars))
or isa(vars, Symbol), "illegal lambda argument list")
exp = body[0] if len(body) == 1 else [_begin] + body
return [_lambda, vars, expand(exp)]
elif x[0] is _quasiquote: # `x => expand_quasiquote(x)
require(x, len(x)==2)
return expand_quasiquote(x[1])
elif isa(x[0], Symbol) and x[0] in macro_table:
return expand(macro_table[x[0]](*x[1:]), toplevel) # (m arg...)
else: # => macroexpand if m isa macro
return map(expand, x) # (f arg...) => expand each
def require(x, predicate, msg="wrong length"):
"Signal a syntax error if predicate is false."
if not predicate: raise SyntaxError(to_string(x)+': '+msg)
_append, _cons, _let = map(Sym, "append cons let".split())
def expand_quasiquote(x):
"""Expand `x => 'x; `,x => x; `(,@x y) => (append x y) """
if not is_pair(x):
return [_quote, x]
require(x, x[0] is not _unquotesplicing, "can't splice here")
if x[0] is _unquote:
require(x, len(x)==2)
return x[1]
elif is_pair(x[0]) and x[0][0] is _unquotesplicing:
require(x[0], len(x[0])==2)
return [_append, x[0][1], expand_quasiquote(x[1:])]
else:
return [_cons, expand_quasiquote(x[0]), expand_quasiquote(x[1:])]
def let(*args):
args = list(args)
x = cons(_let, args)
require(x, len(args)>1)
bindings, body = args[0], args[1:]
require(x, all(isa(b, list) and len(b)==2 and isa(b[0], Symbol)
for b in bindings), "illegal binding list")
vars, vals = zip(*bindings)
return [[_lambda, list(vars)]+map(expand, body)] + map(expand, vals)
macro_table = {_let:let} ## More macros can go here
eval(parse("""(begin
(define-macro and (lambda args
(if (null? args) #t
(if (= (length args) 1) (car args)
`(if ,(car args) (and ,@(cdr args)) #f)))))
;; More macros can also go here
)"""))
if __name__ == '__main__':
repl()
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