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from ast import parse, NodeVisitor, Name | ||
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# For error messages (student-facing) only | ||
_NAMES = { | ||
'Add': '+', | ||
'And': 'and', | ||
'Assert': 'assert', | ||
'Assign': '=', | ||
'AnnAssign': '=', | ||
'AugAssign': 'op=', | ||
'BitAnd': '&', | ||
'BitOr': '|', | ||
'BitXor': '^', | ||
'Break': 'break', | ||
'Recursion': 'recursive call', | ||
'ClassDef': 'class', | ||
'Continue': 'continue', | ||
'Del': 'del', | ||
'Delete': 'delete', | ||
'Dict': '{...}', | ||
'DictComp': '{...}', | ||
'Div': '/', | ||
'Ellipsis': '...', | ||
'Eq': '==', | ||
'ExceptHandler': 'except', | ||
'ExtSlice': '[::]', | ||
'FloorDiv': '//', | ||
'For': 'for', | ||
'FunctionDef': 'def', | ||
'Filter': 'filter', | ||
'GeneratorExp': '(... for ...)', | ||
'Global': 'global', | ||
'Gt': '>', | ||
'GtE': '>=', | ||
'If': 'if', | ||
'IfExp': '...if...else...', | ||
'Import': 'import', | ||
'ImportFrom': 'from ... import ...', | ||
'In': 'in', | ||
'Index': '...[...]', | ||
'Invert': '~', | ||
'Is': 'is', | ||
'IsNot': 'is not ', | ||
'LShift': '<<', | ||
'Lambda': 'lambda', | ||
'List': '[...]', | ||
'ListComp': '[...for...]', | ||
'Lt': '<', | ||
'LtE': '<=', | ||
'Mod': '%', | ||
'Mult': '*', | ||
'NamedExpr': ':=', | ||
'Nonlocal': 'nonlocal', | ||
'Not': 'not', | ||
'NotEq': '!=', | ||
'NotIn': 'not in', | ||
'Or': 'or', | ||
'Pass': 'pass', | ||
'Pow': '**', | ||
'RShift': '>>', | ||
'Raise': 'raise', | ||
'Return': 'return', | ||
'Set': '{ ... } (set)', | ||
'SetComp': '{ ... for ... } (set)', | ||
'Slice': '[ : ]', | ||
'Starred': '', | ||
'Str': 'str', | ||
'Sub': '-', | ||
'Subscript': '[]', | ||
'Try': 'try', | ||
'Tuple': '(... , ... )', | ||
'UAdd': '+', | ||
'USub': '-', | ||
'While': 'while', | ||
'With': 'with', | ||
'Yield': 'yield', | ||
'YieldFrom': 'yield from', | ||
} | ||
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def check(source_file, checked_funcs, disallow, source=None): | ||
"""Checks that AST nodes whose type names are present in DISALLOW | ||
(an object supporting 'in') are not present in the function(s) named | ||
CHECKED_FUNCS in SOURCE. By default, SOURCE is the contents of the | ||
file SOURCE_FILE. CHECKED_FUNCS is either a string (indicating a single | ||
name) or an object of some other type that supports 'in'. CHECKED_FUNCS | ||
may contain __main__ to indicate an entire module. Prints reports of | ||
each prohibited node and returns True iff none are found. | ||
See ast.__dir__() for AST type names. The special node name 'Recursion' | ||
checks for overtly recursive calls (i.e., calls of the form NAME(...) where | ||
NAME is an enclosing def.""" | ||
return ExclusionChecker(disallow).check(source_file, checked_funcs, source) | ||
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class ExclusionChecker(NodeVisitor): | ||
"""An AST visitor that checks that certain constructs are excluded from | ||
parts of a program. ExclusionChecker(EXC) checks that AST node types | ||
whose names are in the sequence or set EXC are not present. Its check | ||
method visits nodes in a given function of a source file checking that the | ||
indicated node types are not used.""" | ||
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def __init__(self, disallow=()): | ||
"""DISALLOW is the initial default list of disallowed | ||
node-type names.""" | ||
self._disallow = set(disallow) | ||
self._checking = False | ||
self._errs = 0 | ||
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def generic_visit(self, node): | ||
if self._checking and type(node).__name__ in self._disallow: | ||
self._report(node) | ||
super().generic_visit(node) | ||
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def visit_Module(self, node): | ||
if "__main__" in self._checked_funcs: | ||
self._checking = True | ||
self._checked_name = self._source_file | ||
super().generic_visit(node) | ||
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def visit_Call(self, node): | ||
if 'Recursion' in self._disallow and \ | ||
type(node.func) is Name and \ | ||
node.func.id in self._func_nest: | ||
self._report(node, "should not be recursive") | ||
self.generic_visit(node) | ||
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def visit_FunctionDef(self, node): | ||
self._func_nest.append(node.name) | ||
if self._checking: | ||
self.generic_visit(node) | ||
elif node.name in self._checked_funcs: | ||
self._checked_name = "Function " + node.name | ||
checking0 = self._checking | ||
self._checking = True | ||
super().generic_visit(node) | ||
self._checking = checking0 | ||
self._func_nest.pop() | ||
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def _report(self, node, msg=None): | ||
node_name = _NAMES.get(type(node).__name__, type(node).__name__) | ||
if msg is None: | ||
msg = "should not contain '{}'".format(node_name) | ||
print("{} {}".format(self._checked_name, msg)) | ||
self._errs += 1 | ||
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def errors(self): | ||
"""Returns the number of number of prohibited constructs found in | ||
the last call to check.""" | ||
return self._errs | ||
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def check(self, source_file, checked_funcs, disallow=None, source=None): | ||
"""Checks that AST nodes whose type names are present in DISALLOW | ||
(an object supporting the contains test) are not present in | ||
the function(s) named CHECKED_FUNCS in SOURCE. By default, SOURCE | ||
is the contents of the file SOURCE_FILE. DISALLOW defaults to the | ||
argument given to the constructor (and resets that value if it is | ||
present). CHECKED_FUNCS is either a string (indicating a single | ||
name) or an object of some other type that supports 'in'. | ||
CHECKED_FUNCS may contain __main__ to indicate an entire module. | ||
Prints reports of each prohibited node and returns True iff none | ||
are found. | ||
See ast.__dir__() for AST type names. The special node name | ||
'Recursion' checks for overtly recursive calls (i.e., calls of the | ||
form NAME(...) where NAME is an enclosing def.""" | ||
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self._checking = False | ||
self._source_file = source_file | ||
self._func_nest = [] | ||
if type(checked_funcs) is str: | ||
self._checked_funcs = { checked_funcs } | ||
else: | ||
self._checked_funcs = set(checked_funcs) | ||
if disallow is not None: | ||
self._disallow = set(disallow) | ||
if source is None: | ||
with open(source_file, 'r', errors='ignore') as inp: | ||
source = inp.read() | ||
p = parse(source, source_file) | ||
self._errs = 0 | ||
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self.visit(p) | ||
return self._errs == 0 |
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{ | ||
"name": "Homework 3", | ||
"endpoint": "cal/c88c/fa24/hw03", | ||
"src": [ | ||
"hw03.py" | ||
], | ||
"tests": { | ||
"hw*.py": "doctest", | ||
"tests/*.py": "ok_test" | ||
}, | ||
"default_tests": [ | ||
"product", | ||
"accumulate", | ||
"summation_using_accumulate", | ||
"product_using_accumulate", | ||
"make_repeater" | ||
], | ||
"protocols": [ | ||
"restore", | ||
"file_contents", | ||
"grading", | ||
"help", | ||
"analytics", | ||
"backup" | ||
] | ||
} |
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from operator import add, mul | ||
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square = lambda x: x * x | ||
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identity = lambda x: x | ||
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triple = lambda x: 3 * x | ||
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increment = lambda x: x + 1 | ||
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HW_SOURCE_FILE=__file__ | ||
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def product(n, term): | ||
"""Return the product of the first n terms in a sequence. | ||
n: a positive integer | ||
term: a function that takes one argument to produce the term | ||
>>> product(3, identity) # 1 * 2 * 3 | ||
6 | ||
>>> product(5, identity) # 1 * 2 * 3 * 4 * 5 | ||
120 | ||
>>> product(3, square) # 1^2 * 2^2 * 3^2 | ||
36 | ||
>>> product(5, square) # 1^2 * 2^2 * 3^2 * 4^2 * 5^2 | ||
14400 | ||
>>> product(3, increment) # (1+1) * (2+1) * (3+1) | ||
24 | ||
>>> product(3, triple) # 1*3 * 2*3 * 3*3 | ||
162 | ||
""" | ||
prod, k = 1, 1 | ||
while k <= n: | ||
prod, k = term(k) * prod, k + 1 | ||
return prod | ||
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def accumulate(fuse, start, n, term): | ||
"""Return the result of fusing together the first n terms in a sequence | ||
and start. The terms to be fused are term(1), term(2), ..., term(n). | ||
The function fuse is a two-argument commutative & associative function. | ||
>>> accumulate(add, 0, 5, identity) # 0 + 1 + 2 + 3 + 4 + 5 | ||
15 | ||
>>> accumulate(add, 11, 5, identity) # 11 + 1 + 2 + 3 + 4 + 5 | ||
26 | ||
>>> accumulate(add, 11, 0, identity) # 11 (fuse is never used) | ||
11 | ||
>>> accumulate(add, 11, 3, square) # 11 + 1^2 + 2^2 + 3^2 | ||
25 | ||
>>> accumulate(mul, 2, 3, square) # 2 * 1^2 * 2^2 * 3^2 | ||
72 | ||
>>> # 2 + (1^2 + 1) + (2^2 + 1) + (3^2 + 1) | ||
>>> accumulate(lambda x, y: x + y + 1, 2, 3, square) | ||
19 | ||
""" | ||
total, k = start, 1 | ||
while k <= n: | ||
total, k = fuse(total, term(k)), k + 1 | ||
return total | ||
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# Alternative solution | ||
def accumulate_reverse(fuse, start, n, term): | ||
total, k = start, n | ||
while k >= 1: | ||
total, k = fuse(total, term(k)), k - 1 | ||
return total | ||
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def summation_using_accumulate(n, term): | ||
"""Returns the sum: term(1) + ... + term(n), using accumulate. | ||
>>> summation_using_accumulate(5, square) # square(1) + square(2) + ... + square(4) + square(5) | ||
55 | ||
>>> summation_using_accumulate(5, triple) # triple(1) + triple(2) + ... + triple(4) + triple(5) | ||
45 | ||
>>> # This test checks that the body of the function is just a return statement. | ||
>>> import inspect, ast | ||
>>> [type(x).__name__ for x in ast.parse(inspect.getsource(summation_using_accumulate)).body[0].body] | ||
['Expr', 'Return'] | ||
""" | ||
return accumulate(add, 0, n, term) | ||
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def product_using_accumulate(n, term): | ||
"""Returns the product: term(1) * ... * term(n), using accumulate. | ||
>>> product_using_accumulate(4, square) # square(1) * square(2) * square(3) * square() | ||
576 | ||
>>> product_using_accumulate(6, triple) # triple(1) * triple(2) * ... * triple(5) * triple(6) | ||
524880 | ||
>>> # This test checks that the body of the function is just a return statement. | ||
>>> import inspect, ast | ||
>>> [type(x).__name__ for x in ast.parse(inspect.getsource(product_using_accumulate)).body[0].body] | ||
['Expr', 'Return'] | ||
""" | ||
return accumulate(mul, 1, n, term) | ||
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def make_repeater(f, n): | ||
"""Returns the function that computes the nth application of f. | ||
>>> add_three = make_repeater(increment, 3) | ||
>>> add_three(5) | ||
8 | ||
>>> make_repeater(triple, 5)(1) # 3 * (3 * (3 * (3 * (3 * 1)))) | ||
243 | ||
>>> make_repeater(square, 2)(5) # square(square(5)) | ||
625 | ||
>>> make_repeater(square, 3)(5) # square(square(square(5))) | ||
390625 | ||
""" | ||
def repeater(x): | ||
k = 0 | ||
while k < n: | ||
x, k = f(x), k + 1 | ||
return x | ||
return repeater | ||
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