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Python S-exp arithmetic evaluation
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import operator | |
Symbol = str | |
def tokenize(exp): | |
return exp.replace('(', ' ( ').replace(')', ' ) ').split() | |
def parser(exp): | |
return read_from_tokens(tokenize(exp)) | |
def read_from_tokens(tokens): | |
if len(tokens) == 0: | |
raise SyntaxError(' Unexpected EOF of exp ') | |
token = tokens.pop(0) | |
if token == '(': | |
L = [] | |
while tokens[0] != ')': | |
L.append(read_from_tokens(tokens)) | |
tokens.pop(0) | |
return L | |
elif token == ')': | |
raise SyntaxError(' Unbalanced bracket ') | |
else: | |
return atom(token) | |
def atom(token): | |
try: return int(token) | |
except ValueError: | |
try: return float(token) | |
except ValueError: | |
if token in {'+', '*', '/', '-'}: | |
return Symbol(token) | |
else: | |
raise SyntaxError(' Unsupport operator ') | |
def evaluate(parser_tree): | |
if isinstance(parser_tree, int) or isinstance(parser_tree, float): | |
return parser_tree | |
else: | |
tmp = map(evaluate, parser_tree[1:]) | |
if parser_tree[0] == '+': | |
return reduce(operator.add, tmp, 0) | |
elif parser_tree[0] == '-': | |
return reduce(operator.sub, tmp, 0) | |
elif parser_tree[0] == '*': | |
return reduce(operator.mul, tmp, 1) | |
elif parser_tree[0] == '/': | |
ret = tmp[0] | |
return reduce(operator.div, tmp[1:], ret) | |
def run(exp): | |
parser_tree = parser(exp) | |
return evaluate(parser_tree) | |
def test(): | |
assert run('(+ 3 4)') == 7 | |
assert run('(+ 3 4 5)') == 12 | |
assert run('(+ (* 3 4) 5)') == 17 | |
assert run('(* 3 (+ 4 5))') == 27 | |
assert run('(* 3 (/ 15 7) 4)') == 24 | |
return 'test pass!' |
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