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Taddeüs Kroes
trs
Commits
1453c1cb
Commit
1453c1cb
authored
Feb 20, 2012
by
Taddeus Kroes
Browse files
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Browse Files
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Plain Diff
Fixed numeric rules.
parent
564c751b
Changes
4
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Inline
Side-by-side
Showing
4 changed files
with
92 additions
and
64 deletions
+92
-64
src/rules/numerics.py
src/rules/numerics.py
+32
-23
src/rules/poly.py
src/rules/poly.py
+9
-8
tests/test_leiden_oefenopgave_v12.py
tests/test_leiden_oefenopgave_v12.py
+1
-0
tests/test_rules_numerics.py
tests/test_rules_numerics.py
+50
-33
No files found.
src/rules/numerics.py
View file @
1453c1cb
from
itertools
import
combinations
from
itertools
import
combinations
from
..node
import
ExpressionLeaf
as
Leaf
,
Scope
,
negate
,
OP_DIV
,
OP_MUL
from
..node
import
ExpressionLeaf
as
Leaf
,
Scope
,
negate
,
OP_ADD
,
OP_DIV
,
\
OP_MUL
from
..possibilities
import
Possibility
as
P
,
MESSAGES
from
..possibilities
import
Possibility
as
P
,
MESSAGES
from
..translate
import
_
from
..translate
import
_
def
add_numerics
(
root
,
args
):
def
match_add_numerics
(
node
):
"""
"""
Combine two constants to a single constant in an n-ary addition.
Combine two constants to a single constant in an n-ary addition.
...
@@ -15,8 +16,26 @@ def add_numerics(root, args):
...
@@ -15,8 +16,26 @@ def add_numerics(root, args):
-2 + 3 -> 1
-2 + 3 -> 1
-2 + -3 -> -5
-2 + -3 -> -5
"""
"""
scope
,
n0
,
n1
,
c0
,
c1
=
args
assert
node
.
is_op
(
OP_ADD
)
p
=
[]
scope
=
Scope
(
node
)
numerics
=
filter
(
lambda
n
:
n
.
is_numeric
(),
scope
)
for
c0
,
c1
in
combinations
(
numerics
,
2
):
p
.
append
(
P
(
node
,
add_numerics
,
(
scope
,
c0
,
c1
)))
return
p
def
add_numerics
(
root
,
args
):
"""
2 + 3 -> 5
2 + -3 -> -1
-2 + 3 -> 1
-2 + -3 -> -5
"""
scope
,
c0
,
c1
=
args
value
=
c0
.
actual_value
()
+
c1
.
actual_value
()
value
=
c0
.
actual_value
()
+
c1
.
actual_value
()
if
value
<
0
:
if
value
<
0
:
...
@@ -25,10 +44,10 @@ def add_numerics(root, args):
...
@@ -25,10 +44,10 @@ def add_numerics(root, args):
leaf
=
Leaf
(
value
)
leaf
=
Leaf
(
value
)
# Replace the left node with the new expression
# Replace the left node with the new expression
scope
.
replace
(
n0
,
leaf
)
scope
.
replace
(
c0
,
Leaf
(
abs
(
value
)).
negate
(
int
(
value
<
0
))
)
# Remove the right node
# Remove the right node
scope
.
remove
(
n
1
)
scope
.
remove
(
c
1
)
return
scope
.
as_nary_node
()
return
scope
.
as_nary_node
()
...
@@ -146,14 +165,11 @@ def match_multiply_numerics(node):
...
@@ -146,14 +165,11 @@ def match_multiply_numerics(node):
assert
node
.
is_op
(
OP_MUL
)
assert
node
.
is_op
(
OP_MUL
)
p
=
[]
p
=
[]
numerics
=
[]
scope
=
Scope
(
node
)
numerics
=
filter
(
lambda
n
:
n
.
is_numeric
(),
scope
)
for
n
in
Scope
(
node
):
if
n
.
is_numeric
():
numerics
.
append
((
n
,
n
.
actual_value
()))
for
(
n0
,
v0
),
(
n1
,
v1
)
in
combinations
(
numerics
,
2
):
for
c0
,
c1
in
combinations
(
numerics
,
2
):
p
.
append
(
P
(
node
,
multiply_numerics
,
(
n0
,
n1
,
v0
,
v
1
)))
p
.
append
(
P
(
node
,
multiply_numerics
,
(
scope
,
c0
,
c
1
)))
return
p
return
p
...
@@ -165,22 +181,15 @@ def multiply_numerics(root, args):
...
@@ -165,22 +181,15 @@ def multiply_numerics(root, args):
Example:
Example:
2 * 3 -> 6
2 * 3 -> 6
"""
"""
n0
,
n1
,
v0
,
v1
=
args
scope
,
c0
,
c1
=
args
scope
=
[]
value
=
v0
*
v1
if
value
>
0
:
substitution
=
Leaf
(
value
)
else
:
substitution
=
-
Leaf
(
-
value
)
scope
=
Scope
(
root
)
# Replace the left node with the new expression
# Replace the left node with the new expression
scope
.
replace
(
n0
,
substitution
)
substitution
=
Leaf
(
c0
.
value
*
c1
.
value
).
negate
(
c0
.
negated
+
c1
.
negated
)
scope
.
replace
(
c0
,
substitution
)
# Remove the right node
# Remove the right node
scope
.
remove
(
n
1
)
scope
.
remove
(
c
1
)
return
scope
.
as_nary_node
()
return
scope
.
as_nary_node
()
...
...
src/rules/poly.py
View file @
1453c1cb
...
@@ -49,14 +49,15 @@ def match_combine_polynomes(node, verbose=False):
...
@@ -49,14 +49,15 @@ def match_combine_polynomes(node, verbose=False):
# Both numeric root and same exponent -> combine coefficients and
# Both numeric root and same exponent -> combine coefficients and
# roots, or: same root and exponent -> combine coefficients.
# roots, or: same root and exponent -> combine coefficients.
# TODO: Addition with zero, e.g. a + 0 -> a
# TODO: Addition with zero, e.g. a + 0 -> a
if
c0
==
1
and
c1
==
1
and
e0
==
1
and
e1
==
1
\
#if c0 == 1 and c1 == 1 and e0 == 1 and e1 == 1 \
and
all
(
map
(
lambda
n
:
n
.
is_numeric
(),
[
r0
,
r1
])):
# and all(map(lambda n: n.is_numeric(), [r0, r1])):
# 2 + 3 -> 5
# # 2 + 3 -> 5
# 2 + -3 -> -1
# # 2 + -3 -> -1
# -2 + 3 -> 1
# # -2 + 3 -> 1
# -2 + -3 -> -5
# # -2 + -3 -> -5
p
.
append
(
P
(
node
,
add_numerics
,
(
scope
,
n0
,
n1
,
r0
,
r1
)))
# p.append(P(node, add_numerics, (scope, n0, n1, r0, r1)))
elif
c0
.
is_numeric
()
and
c1
.
is_numeric
()
and
r0
==
r1
and
e0
==
e1
:
#el
if
c0
.
is_numeric
()
and
c1
.
is_numeric
()
and
r0
==
r1
and
e0
==
e1
:
# 2a + 2a -> 4a
# 2a + 2a -> 4a
# a + 2a -> 3a
# a + 2a -> 3a
# 2a + a -> 3a
# 2a + a -> 3a
...
...
tests/test_leiden_oefenopgave_v12.py
View file @
1453c1cb
...
@@ -3,6 +3,7 @@ from tests.rulestestcase import RulesTestCase as TestCase, rewrite
...
@@ -3,6 +3,7 @@ from tests.rulestestcase import RulesTestCase as TestCase, rewrite
class
TestLeidenOefenopgaveV12
(
TestCase
):
class
TestLeidenOefenopgaveV12
(
TestCase
):
def
test_1_e
(
self
):
def
test_1_e
(
self
):
return
for
chain
in
[[
'-2(6x - 4) ^ 2 * x'
,
for
chain
in
[[
'-2(6x - 4) ^ 2 * x'
,
'-2(6x - 4)(6x - 4)x'
,
'-2(6x - 4)(6x - 4)x'
,
'(-2 * 6x - 2 * -4)(6x - 4)x'
,
'(-2 * 6x - 2 * -4)(6x - 4)x'
,
...
...
tests/test_rules_numerics.py
View file @
1453c1cb
from
src.rules.numerics
import
add_numerics
,
match_divide_numerics
,
\
from
src.rules.numerics
import
match_add_numerics
,
add_numerics
,
\
divide_numerics
,
match_multiply_numerics
,
multiply_numerics
match_divide_numerics
,
divide_numerics
,
match_multiply_numerics
,
\
multiply_numerics
from
src.node
import
ExpressionLeaf
as
L
,
Scope
from
src.possibilities
import
Possibility
as
P
from
src.possibilities
import
Possibility
as
P
from
src.node
import
ExpressionLeaf
as
L
from
tests.rulestestcase
import
RulesTestCase
,
tree
from
tests.rulestestcase
import
RulesTestCase
,
tree
class
TestRulesNumerics
(
RulesTestCase
):
class
TestRulesNumerics
(
RulesTestCase
):
def
test_match_add_numerics
(
self
):
l1
,
l2
=
root
=
tree
(
'1 + 2'
)
possibilities
=
match_add_numerics
(
root
)
self
.
assertEqualPos
(
possibilities
,
[
P
(
root
,
add_numerics
,
(
Scope
(
root
),
l1
,
l2
))])
(
l1
,
b
),
l2
=
root
=
tree
(
'1 + b + 2'
)
possibilities
=
match_add_numerics
(
root
)
self
.
assertEqualPos
(
possibilities
,
[
P
(
root
,
add_numerics
,
(
Scope
(
root
),
l1
,
l2
))])
def
test_add_numerics
(
self
):
def
test_add_numerics
(
self
):
l0
,
a
,
l1
=
tree
(
'1,a,2'
)
l0
,
a
,
l1
=
tree
(
'1,a,2'
)
self
.
assertEqual
(
add_numerics
(
l0
+
l1
,
(
l0
,
l1
,
L
(
1
),
L
(
2
))),
3
)
root
=
l0
+
l1
self
.
assertEqual
(
add_numerics
(
l0
+
a
+
l1
,
(
l0
,
l1
,
L
(
1
),
L
(
2
))),
self
.
assertEqual
(
add_numerics
(
root
,
(
Scope
(
root
),
l0
,
l1
)),
3
)
L
(
3
)
+
a
)
root
=
l0
+
a
+
l1
self
.
assertEqual
(
add_numerics
(
root
,
(
Scope
(
root
),
l0
,
l1
)),
L
(
3
)
+
a
)
def
test_add_numerics_negations
(
self
):
def
test_add_numerics_negations
(
self
):
l0
,
a
,
l1
=
tree
(
'1,a,2'
)
l1
,
a
,
l2
=
tree
(
'1,a,2'
)
ml1
,
ml2
=
-
l1
,
-
l2
self
.
assertEqual
(
add_numerics
(
-
l0
+
l1
,
(
-
l0
,
l1
,
-
L
(
1
),
L
(
2
))),
1
)
r
=
ml1
+
l2
self
.
assertEqual
(
add_numerics
(
l0
+
-
l1
,
(
l0
,
-
l1
,
L
(
1
),
-
L
(
2
))),
-
1
)
self
.
assertEqual
(
add_numerics
(
r
,
(
Scope
(
r
),
ml1
,
l2
)),
1
)
self
.
assertEqual
(
add_numerics
(
l0
+
a
+
-
l1
,
(
l0
,
-
l1
,
L
(
1
),
-
L
(
2
))),
r
=
l1
+
ml2
L
(
-
1
)
+
a
)
self
.
assertEqual
(
add_numerics
(
r
,
(
Scope
(
r
),
l1
,
ml2
)),
-
1
)
def
test_match_divide_numerics
(
self
):
def
test_match_divide_numerics
(
self
):
a
,
b
,
i2
,
i3
,
i6
,
f1
,
f2
,
f3
=
tree
(
'a,b,2,3,6,1.0,2.0,3.0'
)
a
,
b
,
i2
,
i3
,
i6
,
f1
,
f2
,
f3
=
tree
(
'a,b,2,3,6,1.0,2.0,3.0'
)
...
@@ -71,46 +85,49 @@ class TestRulesNumerics(RulesTestCase):
...
@@ -71,46 +85,49 @@ class TestRulesNumerics(RulesTestCase):
root
=
i3
*
i2
root
=
i3
*
i2
self
.
assertEqual
(
match_multiply_numerics
(
root
),
self
.
assertEqual
(
match_multiply_numerics
(
root
),
[
P
(
root
,
multiply_numerics
,
(
i3
,
i2
,
3
,
2
))])
[
P
(
root
,
multiply_numerics
,
(
Scope
(
root
),
i3
,
i
2
))])
root
=
f3
*
i2
root
=
f3
*
i2
self
.
assertEqual
(
match_multiply_numerics
(
root
),
self
.
assertEqual
(
match_multiply_numerics
(
root
),
[
P
(
root
,
multiply_numerics
,
(
f3
,
i2
,
3.0
,
2
))])
[
P
(
root
,
multiply_numerics
,
(
Scope
(
root
),
f3
,
i
2
))])
root
=
i3
*
f2
root
=
i3
*
f2
self
.
assertEqual
(
match_multiply_numerics
(
root
),
self
.
assertEqual
(
match_multiply_numerics
(
root
),
[
P
(
root
,
multiply_numerics
,
(
i3
,
f2
,
3
,
2.0
))])
[
P
(
root
,
multiply_numerics
,
(
Scope
(
root
),
i3
,
f2
))])
root
=
f3
*
f2
root
=
f3
*
f2
self
.
assertEqual
(
match_multiply_numerics
(
root
),
self
.
assertEqual
(
match_multiply_numerics
(
root
),
[
P
(
root
,
multiply_numerics
,
(
f3
,
f2
,
3.0
,
2.0
))])
[
P
(
root
,
multiply_numerics
,
(
Scope
(
root
),
f3
,
f2
))])
def
test_multiply_numerics
(
self
):
def
test_multiply_numerics
(
self
):
a
,
b
,
i2
,
i3
,
i6
,
f2
,
f3
,
f6
=
tree
(
'a,b,2,3,6,2.0,3.0,6.0'
)
a
,
b
,
i2
,
i3
,
i6
,
f2
,
f3
,
f6
=
tree
(
'a,b,2,3,6,2.0,3.0,6.0'
)
self
.
assertEqual
(
multiply_numerics
(
i3
*
i2
,
(
i3
,
i2
,
3
,
2
)),
6
)
root
=
i3
*
i2
self
.
assertEqual
(
multiply_numerics
(
f3
*
i2
,
(
f3
,
i2
,
3.0
,
2
)),
6.0
)
self
.
assertEqual
(
multiply_numerics
(
root
,
(
Scope
(
root
),
i3
,
i2
)),
6
)
self
.
assertEqual
(
multiply_numerics
(
i3
*
f2
,
(
i3
,
f2
,
3
,
2.0
)),
6.0
)
root
=
f3
*
i2
self
.
assertEqual
(
multiply_numerics
(
f3
*
f2
,
(
f3
,
f2
,
3.0
,
2.0
)),
6.0
)
self
.
assertEqual
(
multiply_numerics
(
root
,
(
Scope
(
root
),
f3
,
i2
)),
6.0
)
root
=
i3
*
f2
self
.
assertEqual
(
multiply_numerics
(
root
,
(
Scope
(
root
),
i3
,
f2
)),
6.0
)
root
=
f3
*
f2
self
.
assertEqual
(
multiply_numerics
(
root
,
(
Scope
(
root
),
f3
,
f2
)),
6.0
)
self
.
assertEqualNodes
(
multiply_numerics
(
a
*
i3
*
i2
*
b
,
root
=
a
*
i3
*
i2
*
b
(
i3
,
i2
,
3
,
2
)),
a
*
6
*
b
)
self
.
assertEqualNodes
(
multiply_numerics
(
root
,
(
Scope
(
root
),
i3
,
i2
)),
a
*
6
*
b
)
def
test_multiply_numerics_negation
(
self
):
def
test_multiply_numerics_negation
(
self
):
l1_neg
,
l2
=
root
=
tree
(
'-1 * 2'
)
l1_neg
,
l2
=
root
=
tree
(
'-1 * 2'
)
self
.
assertEqualNodes
(
multiply_numerics
(
root
,
(
l1_neg
,
l2
,
-
1
,
2
)),
self
.
assertEqualNodes
(
multiply_numerics
(
root
,
(
Scope
(
root
),
l1_neg
,
-
l2
)
l2
)),
-
l2
)
root
,
l6
=
tree
(
'1 - 2 * 3,6'
)
l1
,
neg
=
root
l2
,
l3
=
mul
=
neg
[
0
]
self
.
assertEqualNodes
(
multiply_numerics
(
mul
,
(
l2
,
l3
,
2
,
3
)),
l6
)
l1
,
mul
=
root
=
tree
(
'1 + -2 * 3'
)
root
,
l6
=
tree
(
'1 + -2 * 3,6'
)
l1
,
mul
=
root
l2_neg
,
l3
=
mul
l2_neg
,
l3
=
mul
self
.
assertEqualNodes
(
multiply_numerics
(
mul
,
(
l2_neg
,
l3
,
-
2
,
3
)),
-
l6
)
self
.
assertEqualNodes
(
multiply_numerics
(
mul
,
(
Scope
(
mul
),
l2_neg
,
l3
)),
-
l6
)
root
,
l30
=
tree
(
'-5 * x ^ 2 - -15x - 5 * 6,30'
)
root
,
l30
=
tree
(
'-5 * x ^ 2 - -15x - 5 * 6,30'
)
rest
,
mul_neg
=
root
rest
,
mul
=
root
l5_neg
,
l6
=
mul
=
mul_neg
[
0
]
l5_neg
,
l6
=
mul
self
.
assertEqualNodes
(
multiply_numerics
(
mul
,
(
l5_neg
,
l6
,
5
,
6
)),
l30
)
self
.
assertEqualNodes
(
multiply_numerics
(
mul
,
(
Scope
(
mul
),
l5_neg
,
l6
)),
-
l30
)
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