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Taddeüs Kroes
trs
Commits
99832583
Commit
99832583
authored
Jan 24, 2012
by
Taddeus Kroes
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Added negated division rewrite rules.
parent
271a591b
Changes
3
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Showing
3 changed files
with
94 additions
and
3 deletions
+94
-3
src/rules/__init__.py
src/rules/__init__.py
+2
-2
src/rules/negation.py
src/rules/negation.py
+48
-1
tests/test_rules_negation.py
tests/test_rules_negation.py
+44
-0
No files found.
src/rules/__init__.py
View file @
99832583
...
@@ -9,7 +9,7 @@ from .powers import match_add_exponents, match_subtract_exponents, \
...
@@ -9,7 +9,7 @@ from .powers import match_add_exponents, match_subtract_exponents, \
from
.numerics
import
match_divide_numerics
,
match_multiply_numerics
from
.numerics
import
match_divide_numerics
,
match_multiply_numerics
from
.fractions
import
match_constant_division
,
match_add_constant_fractions
,
\
from
.fractions
import
match_constant_division
,
match_add_constant_fractions
,
\
match_expand_and_add_fractions
match_expand_and_add_fractions
from
.negation
import
match_negate_group
from
.negation
import
match_negate_group
,
match_negated_division
RULES
=
{
RULES
=
{
OP_ADD
:
[
match_add_constant_fractions
,
match_combine_polynomes
,
\
OP_ADD
:
[
match_add_constant_fractions
,
match_combine_polynomes
,
\
...
@@ -17,7 +17,7 @@ RULES = {
...
@@ -17,7 +17,7 @@ RULES = {
OP_MUL
:
[
match_multiply_numerics
,
match_expand
,
match_add_exponents
,
\
OP_MUL
:
[
match_multiply_numerics
,
match_expand
,
match_add_exponents
,
\
match_expand_and_add_fractions
],
match_expand_and_add_fractions
],
OP_DIV
:
[
match_subtract_exponents
,
match_divide_numerics
,
\
OP_DIV
:
[
match_subtract_exponents
,
match_divide_numerics
,
\
match_constant_division
],
match_constant_division
,
match_negated_division
],
OP_POW
:
[
match_multiply_exponents
,
match_duplicate_exponent
,
\
OP_POW
:
[
match_multiply_exponents
,
match_duplicate_exponent
,
\
match_remove_negative_exponent
,
match_exponent_to_root
,
\
match_remove_negative_exponent
,
match_exponent_to_root
,
\
match_extend_exponent
],
match_extend_exponent
],
...
...
src/rules/negation.py
View file @
99832583
from
..node
import
OP_NEG
,
OP_ADD
,
OP_MUL
,
get_scope
,
nary_node
from
..node
import
get_scope
,
nary_node
,
OP_NEG
,
OP_ADD
,
OP_MUL
,
OP_DIV
from
..possibilities
import
Possibility
as
P
,
MESSAGES
from
..possibilities
import
Possibility
as
P
,
MESSAGES
from
..translate
import
_
from
..translate
import
_
...
@@ -85,4 +85,51 @@ def double_negation(root, args):
...
@@ -85,4 +85,51 @@ def double_negation(root, args):
return
node
[
0
][
0
]
return
node
[
0
][
0
]
def
match_negated_division
(
node
):
"""
-a / -b -> a / b
"""
assert
node
.
is_op
(
OP_DIV
)
a
,
b
=
node
a_neg
=
a
.
is_op
(
OP_NEG
)
b_neg
=
b
.
is_op
(
OP_NEG
)
if
a_neg
and
b_neg
:
return
[
P
(
node
,
double_negated_division
,
(
node
,))]
elif
a_neg
:
return
[
P
(
node
,
single_negated_division
,
(
a
[
0
],
b
))]
elif
b_neg
:
return
[
P
(
node
,
single_negated_division
,
(
a
,
b
[
0
]))]
return
[]
def
single_negated_division
(
root
,
args
):
"""
-a / b -> -(a / b)
a / -b -> -(a / b)
"""
a
,
b
=
args
return
-
(
a
/
b
)
MESSAGES
[
single_negated_division
]
=
\
_
(
'Bring negation outside of the division: -({1} / {2}).'
)
def
double_negated_division
(
root
,
args
):
"""
-a / -b -> a / b
"""
a
,
b
=
root
return
a
[
0
]
/
b
[
0
]
MESSAGES
[
double_negated_division
]
=
\
_
(
'Eliminate top and bottom negation in {1}.'
)
MESSAGES
[
double_negation
]
=
_
(
'Remove double negation in {1}.'
)
MESSAGES
[
double_negation
]
=
_
(
'Remove double negation in {1}.'
)
tests/test_rules_negation.py
0 → 100644
View file @
99832583
from
src.rules.negation
import
match_negated_division
,
\
single_negated_division
,
double_negated_division
from
src.possibilities
import
Possibility
as
P
from
tests.rulestestcase
import
RulesTestCase
,
tree
class
TestRulesNegation
(
RulesTestCase
):
def
test_match_negated_division_none
(
self
):
self
.
assertEqual
(
match_negated_division
(
tree
(
'1 / 2'
)),
[])
def
test_match_negated_division_single
(
self
):
l1
,
l2
=
root
=
tree
(
'-1 / 2'
)
possibilities
=
match_negated_division
(
root
)
self
.
assertEqualPos
(
possibilities
,
[
P
(
root
,
single_negated_division
,
(
l1
[
0
],
l2
))])
l1
,
l2
=
root
=
tree
(
'1 / -2'
)
possibilities
=
match_negated_division
(
root
)
self
.
assertEqualPos
(
possibilities
,
[
P
(
root
,
single_negated_division
,
(
l1
,
l2
[
0
]))])
def
test_match_negated_division_double
(
self
):
root
=
tree
(
'-1 / -2'
)
possibilities
=
match_negated_division
(
root
)
self
.
assertEqualPos
(
possibilities
,
[
P
(
root
,
double_negated_division
,
(
root
,))])
def
test_single_negated_division
(
self
):
l1
,
l2
=
root
=
tree
(
'-1 / 2'
)
self
.
assertEqualNodes
(
single_negated_division
(
root
,
(
l1
[
0
],
l2
)),
-
(
l1
[
0
]
/
l2
))
l1
,
l2
=
root
=
tree
(
'1 / -2'
)
self
.
assertEqualNodes
(
single_negated_division
(
root
,
(
l1
,
l2
[
0
])),
-
(
l1
/
l2
[
0
]))
def
test_double_negated_division
(
self
):
l1
,
l2
=
root
=
tree
(
'-1 / -2'
)
self
.
assertEqualNodes
(
double_negated_division
(
root
,
(
root
,)),
l1
[
0
]
/
l2
[
0
])
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