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# This file is part of Patsy
# Copyright (C) 2011 Nathaniel Smith <njs@pobox.com>
# See file LICENSE.txt for license information.
# This file implements a simple "shunting yard algorithm" parser for infix
# languages with parentheses. It is used as the core of our parser for
# formulas, but is generic enough to be used for other purposes as well
# (e.g. parsing linear constraints). It just builds a parse tree; semantics
# are somebody else's problem.
#
# Plus it spends energy on tracking where each item in the parse tree comes
# from, to allow high-quality error reporting.
#
# You are expected to provide an collection of Operators, a collection of
# atomic types, and an iterator that provides Tokens. Each Operator should
# have a unique token_type (which is an arbitrary Python object), and each
# Token should have a matching token_type, or one of the special types
# Token.LPAREN, Token.RPAREN. Each Token is required to have a valid Origin
# attached, for error reporting.
# XX: still seriously consider putting the magic intercept handling into the
# tokenizer. we'd still need separate term-sets that get pasted together by ~
# to create the modeldesc, though... heck maybe we should just have a
# modeldesc be 1-or-more termsets, with the convention that if it's 1, then
# it's a rhs, and if it's 2, it's (lhs, rhs), and otherwise you're on your
# own. Test: would this be useful for multiple-group log-linear models,
# maybe? Answer: Perhaps. outcome ~ x1 + x2 ~ group. But lots of other
# plausible, maybe better ways to write this -- (outcome | group) ~ x1 + x2?
# "outcome ~ x1 + x2", group="group"? etc.
from
__future__
import
print_function
__all__
=
[
"Token"
,
"ParseNode"
,
"Operator"
,
"parse"
]
from
patsy
import
PatsyError
from
patsy
.
origin
import
Origin
from
patsy
.
util
import
(
repr_pretty_delegate
,
repr_pretty_impl
,
no_pickling
,
assert_no_pickling
)
class
_UniqueValue
(
object
):
def
__init__
(
self
,
print_as
):
self
.
_print_as
=
print_as
def
__repr__
(
self
):
return
"%s(%r)"
%
(
self
.
__class__
.
__name__
,
self
.
_print_as
)
__getstate__
=
no_pickling
class
Token
(
object
):
"""A token with possible payload.
.. attribute:: type
An arbitrary object indicating the type of this token. Should be
:term:`hashable`, but otherwise it can be whatever you like.
"""
LPAREN
=
_UniqueValue
(
"LPAREN"
)
RPAREN
=
_UniqueValue
(
"RPAREN"
)
def
__init__
(
self
,
type
,
origin
,
extra
=
None
):
self
.
type
=
type
self
.
origin
=
origin
self
.
extra
=
extra
__repr__
=
repr_pretty_delegate
def
_repr_pretty_
(
self
,
p
,
cycle
):
assert
not
cycle
kwargs
=
[]
if
self
.
extra
is
not
None
:
kwargs
=
[(
"extra"
,
self
.
extra
)]
return
repr_pretty_impl
(
p
,
self
, [
self
.
type
,
self
.
origin
],
kwargs
)
__getstate__
=
no_pickling
class
ParseNode
(
object
):
def
__init__
(
self
,
type
,
token
,
args
,
origin
):
self
.
type
=
type
self
.
token
=
token
self
.
args
=
args
self
.
origin
=
origin
__repr__
=
repr_pretty_delegate
def
_repr_pretty_
(
self
,
p
,
cycle
):
return
repr_pretty_impl
(
p
,
self
, [
self
.
type
,
self
.
token
,
self
.
args
])
__getstate__
=
no_pickling
class
Operator
(
object
):
def
__init__
(
self
,
token_type
,
arity
,
precedence
):
self
.
token_type
=
token_type
self
.
arity
=
arity
self
.
precedence
=
precedence
def
__repr__
(
self
):
return
"%s(%r, %r, %r)"
%
(
self
.
__class__
.
__name__
,
self
.
token_type
,
self
.
arity
,
self
.
precedence
)
__getstate__
=
no_pickling
class
_StackOperator
(
object
):
def
__init__
(
self
,
op
,
token
):
self
.
op
=
op
self
.
token
=
token
__getstate__
=
no_pickling
_open_paren
=
Operator
(
Token
.
LPAREN
,
-
1
,
-
9999999
)
class
_ParseContext
(
object
):
def
__init__
(
self
,
unary_ops
,
binary_ops
,
atomic_types
,
trace
):
self
.
op_stack
=
[]
self
.
noun_stack
=
[]
self
.
unary_ops
=
unary_ops
self
.
binary_ops
=
binary_ops
self
.
atomic_types
=
atomic_types
self
.
trace
=
trace
__getstate__
=
no_pickling
def
_read_noun_context
(
token
,
c
):
if
token
.
type
==
Token
.
LPAREN
:
if
c
.
trace
:
print
(
"Pushing open-paren"
)
c
.
op_stack
.
append
(
_StackOperator
(
_open_paren
,
token
))
return
True
elif
token
.
type
in
c
.
unary_ops
:
if
c
.
trace
:
print
(
"Pushing unary op %r"
%
(
token
.
type
,))
c
.
op_stack
.
append
(
_StackOperator
(
c
.
unary_ops
[
token
.
type
],
token
))
return
True
elif
token
.
type
in
c
.
atomic_types
:
if
c
.
trace
:
print
(
"Pushing noun %r (%r)"
%
(
token
.
type
,
token
.
extra
))
c
.
noun_stack
.
append
(
ParseNode
(
token
.
type
,
token
, [],
token
.
origin
))
return
False
else
:
raise
PatsyError
(
"expected a noun, not '%s'"
%
(
token
.
origin
.
relevant_code
(),),
token
)
def
_run_op
(
c
):
assert
c
.
op_stack
stackop
=
c
.
op_stack
.
pop
()
args
=
[]
for
i
in
range
(
stackop
.
op
.
arity
):
args
.
append
(
c
.
noun_stack
.
pop
())
args
.
reverse
()
if
c
.
trace
:
print
(
"Reducing %r (%r)"
%
(
stackop
.
op
.
token_type
,
args
))
node
=
ParseNode
(
stackop
.
op
.
token_type
,
stackop
.
token
,
args
,
Origin
.
combine
([
stackop
.
token
]
+
args
))
c
.
noun_stack
.
append
(
node
)
def
_read_op_context
(
token
,
c
):
if
token
.
type
==
Token
.
RPAREN
:
if
c
.
trace
:
print
(
"Found close-paren"
)
while
c
.
op_stack
and
c
.
op_stack
[
-
1
].
op
.
token_type
!=
Token
.
LPAREN
:
_run_op
(
c
)
if
not
c
.
op_stack
:
raise
PatsyError
(
"missing '(' or extra ')'"
,
token
)
assert
c
.
op_stack
[
-
1
].
op
.
token_type
==
Token
.
LPAREN
# Expand the origin of the item on top of the noun stack to include
# the open and close parens:
combined
=
Origin
.
combine
([
c
.
op_stack
[
-
1
].
token
,
c
.
noun_stack
[
-
1
].
token
,
token
])
c
.
noun_stack
[
-
1
].
origin
=
combined
# Pop the open-paren
c
.
op_stack
.
pop
()
return
False
elif
token
.
type
in
c
.
binary_ops
:
if
c
.
trace
:
print
(
"Found binary operator %r"
%
(
token
.
type
))
stackop
=
_StackOperator
(
c
.
binary_ops
[
token
.
type
],
token
)
while
(
c
.
op_stack
and
stackop
.
op
.
precedence
<=
c
.
op_stack
[
-
1
].
op
.
precedence
):
_run_op
(
c
)
if
c
.
trace
:
print
(
"Pushing binary operator %r"
%
(
token
.
type
))
c
.
op_stack
.
append
(
stackop
)
return
True
else
:
raise
PatsyError
(
"expected an operator, not '%s'"
%
(
token
.
origin
.
relevant_code
(),),
token
)
def
infix_parse
(
tokens
,
operators
,
atomic_types
,
trace
=
False
):
token_source
=
iter
(
tokens
)
unary_ops
=
{}
binary_ops
=
{}
for
op
in
operators
:
assert
op
.
precedence
>
_open_paren
.
precedence
if
op
.
arity
==
1
:
unary_ops
[
op
.
token_type
]
=
op
elif
op
.
arity
==
2
:
binary_ops
[
op
.
token_type
]
=
op
else
:
raise
ValueError
(
"operators must be unary or binary"
)
c
=
_ParseContext
(
unary_ops
,
binary_ops
,
atomic_types
,
trace
)
# This is an implementation of Dijkstra's shunting yard algorithm:
# http://en.wikipedia.org/wiki/Shunting_yard_algorithm
# http://www.engr.mun.ca/~theo/Misc/exp_parsing.htm
want_noun
=
True
for
token
in
token_source
:
if
c
.
trace
:
print
(
"Reading next token (want_noun=%r)"
%
(
want_noun
,))
if
want_noun
:
want_noun
=
_read_noun_context
(
token
,
c
)
else
:
want_noun
=
_read_op_context
(
token
,
c
)
if
c
.
trace
:
print
(
"End of token stream"
)
if
want_noun
:
raise
PatsyError
(
"expected a noun, but instead the expression ended"
,
c
.
op_stack
[
-
1
].
token
.
origin
)
while
c
.
op_stack
:
if
c
.
op_stack
[
-
1
].
op
.
token_type
==
Token
.
LPAREN
:
raise
PatsyError
(
"Unmatched '('"
,
c
.
op_stack
[
-
1
].
token
)
_run_op
(
c
)
assert
len
(
c
.
noun_stack
)
==
1
return
c
.
noun_stack
.
pop
()
# Much more thorough tests in parse_formula.py, this is just a smoke test:
def
test_infix_parse
():
ops
=
[
Operator
(
"+"
,
2
,
10
),
Operator
(
"*"
,
2
,
20
),
Operator
(
"-"
,
1
,
30
)]
atomic
=
[
"ATOM1"
,
"ATOM2"
]
# a + -b * (c + d)
mock_origin
=
Origin
(
"asdf"
,
2
,
3
)
tokens
=
[
Token
(
"ATOM1"
,
mock_origin
,
"a"
),
Token
(
"+"
,
mock_origin
,
"+"
),
Token
(
"-"
,
mock_origin
,
"-"
),
Token
(
"ATOM2"
,
mock_origin
,
"b"
),
Token
(
"*"
,
mock_origin
,
"*"
),
Token
(
Token
.
LPAREN
,
mock_origin
,
"("
),
Token
(
"ATOM1"
,
mock_origin
,
"c"
),
Token
(
"+"
,
mock_origin
,
"+"
),
Token
(
"ATOM2"
,
mock_origin
,
"d"
),
Token
(
Token
.
RPAREN
,
mock_origin
,
")"
)]
tree
=
infix_parse
(
tokens
,
ops
,
atomic
)
def
te
(
tree
,
type
,
extra
):
assert
tree
.
type
==
type
assert
tree
.
token
.
extra
==
extra
te
(
tree
,
"+"
,
"+"
)
te
(
tree
.
args
[
0
],
"ATOM1"
,
"a"
)
assert
tree
.
args
[
0
].
args
==
[]
te
(
tree
.
args
[
1
],
"*"
,
"*"
)
te
(
tree
.
args
[
1
].
args
[
0
],
"-"
,
"-"
)
assert
len
(
tree
.
args
[
1
].
args
[
0
].
args
)
==
1
te
(
tree
.
args
[
1
].
args
[
0
].
args
[
0
],
"ATOM2"
,
"b"
)
te
(
tree
.
args
[
1
].
args
[
1
],
"+"
,
"+"
)
te
(
tree
.
args
[
1
].
args
[
1
].
args
[
0
],
"ATOM1"
,
"c"
)
te
(
tree
.
args
[
1
].
args
[
1
].
args
[
1
],
"ATOM2"
,
"d"
)
import
pytest
# No ternary ops
pytest
.
raises
(
ValueError
,
infix_parse
, [], [
Operator
(
"+"
,
3
,
10
)], [
"ATOMIC"
])
# smoke test just to make sure there are no egregious bugs in 'trace'
infix_parse
(
tokens
,
ops
,
atomic
,
trace
=
True
)
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