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Taddeüs Kroes
peephole
Commits
18a29e6f
Commit
18a29e6f
authored
Dec 28, 2011
by
Richard Torenvliet
Browse files
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Merge branch 'master' of github.com:taddeus/peephole
parents
82759127
cad60b16
Changes
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117 deletions
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-117
benchmarks/optimized/.gitignore
benchmarks/optimized/.gitignore
+1
-0
benchmarks/optimized/acron.s
benchmarks/optimized/acron.s
+1
-2
report/report.tex
report/report.tex
+68
-0
src/optimize/__init__.py
src/optimize/__init__.py
+18
-44
src/optimize/advanced.py
src/optimize/advanced.py
+102
-34
src/optimize/redundancies.py
src/optimize/redundancies.py
+32
-7
src/parser.py
src/parser.py
+1
-1
src/statement.py
src/statement.py
+10
-0
tests/test_optimize.py
tests/test_optimize.py
+10
-9
tests/test_optimize_advanced.py
tests/test_optimize_advanced.py
+150
-20
No files found.
benchmarks/optimized/.gitignore
0 → 100644
View file @
18a29e6f
*.s
benchmarks/optimized/acron.s
View file @
18a29e6f
...
...
@@ -180,7 +180,6 @@ $L5:
addu
$
3
,
$
16
,
$
17
addu
$
2
,
$
3
,
$
2
sw
$
2
,
24
(
$fp
)
lw
$
2
,
24
(
$fp
)
beq
$
2
,
$
0
,
$L8
lw
$
2
,
24
(
$fp
)
li
$
3
,
0x00000003
#
3
...
...
@@ -410,4 +409,4 @@ $L27:
lw
$fp
,
24
(
$sp
)
addu
$sp
,
$sp
,
32
j
$
31
.
end
main
\ No newline at end of file
.
end
main
report/report.tex
View file @
18a29e6f
...
...
@@ -116,6 +116,50 @@ This is a less efficient method then the dag, but because the basic blocks are
in general not very large and the execution time of the optimizer is not a
primary concern, this is not a big problem.
\subsubsection
*
{
Fold constants
}
\subsubsection
*
{
Copy propagation
}
Copy propagation `unpacks' a move instruction, by replacing its destination
address with its source address in the code following the move instruction.
This is not a direct optimization, but this does allow for a more effective
dead code elimination.
The code of the block is checked linearly. When a move operation is
encountered, the source and destination address of this move are stored. When
a normal operation with a source and a destination address are found, a number
of checks are performed.
The first check is whether the destination address is stored as a destination
address of a move instruction. If so, this move instruction is no longer valid,
so the optimizations can not be done. Otherwise, continue with the second
check.
In the second check, the source address is compared to the destination
addresses of all still valid move operations. If these are the same, in the
current operation the found source address is replaced with the source address
of the move operation.
An example would be the following:
\begin
{
verbatim
}
move
$
regA,
$
regB move
$
regA,
$
regB
... ...
Code not writing
$
regA, -> ...
$
regB ...
... ...
addu
$
regC,
$
regA, ... addu
$
regC,
$
regB, ...
\end
{
verbatim
}
This code shows that
\texttt
{
\$
regA
}
is replaced with
\texttt
{
\$
regB
}
. This
way, the move instruction might have become useless, and it will then be
removed by the dead code elimination.
\subsubsection
*
{
Algebraic transformations
}
\section
{
Implementation
}
We decided to implement the optimization in Python. We chose this programming
...
...
@@ -236,5 +280,29 @@ addu $regA, $regB, 4 addu $regD, $regB, 4
Code not writing
$
regB -> ...
... ...
addu
$
regC,
$
regB, 4 move
$
regC,
$
regD
# Constant folding
# Copy propagation
move
$
regA,
$
regB move
$
regA,
$
regB
... ...
Code not writing
$
regA,
-
> ...
$
regB ...
... ...
addu
$
regC,
$
regA, ... addu
$
regC,
$
regB, ...
# Algebraic transformations
addu
$
regA,
$
regB, 0 -> move
$
regA,
$
regB
subu
$
regA,
$
regB, 0 -> move
$
regA,
$
regB
mult
$
regA,
$
regB, 1 -> move
$
regA,
$
regB
mult
$
regA,
$
regB, 0 -> li
$
regA,
0
mult
$
regA,
$
regB,
2
-
> sll
$
regA,
$
regB,
1
\end
{
verbatim
}
\end
{
document
}
src/optimize/__init__.py
View file @
18a29e6f
from
src.dataflow
import
find_basic_blocks
from
standard
import
redundant_move_1
,
redundant_move_2
,
\
redundant_move_3
,
redundant_move_4
,
redundant_load
,
\
redundant_shift
,
redundant_add
from
redundancies
import
remove_redundant_jumps
,
move_1
,
move_2
,
move_3
,
\
move_4
,
load
,
shift
,
add
from
advanced
import
eliminate_common_subexpressions
,
fold_constants
,
\
copy_propagation
copy_propagation
,
algebraic_transformations
def
optimize_global
(
statements
):
"""Optimize statement sequences on a global level."""
def
remove_redundancies
(
block
):
"""Execute all functions that remove redundant statements."""
callbacks
=
[
move_1
,
move_2
,
move_3
,
move_4
,
load
,
shift
,
add
]
old_len
=
-
1
changed
=
False
while
old_len
!=
len
(
statements
):
old_len
=
len
(
statements
)
while
not
statements
.
end
():
s
=
statements
.
read
()
# beq/bne ..., $Lx -> bne/beq ..., $Ly
# j $Ly $Lx:
# $Lx:
if
s
.
is_command
(
'beq'
,
'bne'
):
following
=
statements
.
peek
(
2
)
if
len
(
following
)
==
2
:
j
,
label
=
following
if
j
.
is_command
(
'j'
)
and
label
.
is_label
(
s
[
2
]):
s
.
name
=
'bne'
if
s
.
is_command
(
'beq'
)
else
'beq'
s
[
2
]
=
j
[
0
]
statements
.
replace
(
3
,
[
s
,
label
])
def
optimize_block
(
block
):
"""Optimize a basic block."""
standard
=
[
redundant_move_1
,
redundant_move_2
,
redundant_move_3
,
\
redundant_move_4
,
redundant_load
,
redundant_shift
,
\
redundant_add
]
old_len
=
-
1
# Standard optimizations
while
old_len
!=
len
(
block
):
old_len
=
len
(
block
)
while
not
block
.
end
():
s
=
block
.
read
()
for
callback
in
standard
:
for
callback
in
callbacks
:
if
callback
(
s
,
block
):
changed
=
True
break
# Advanced optimizations
#changed = True
return
changed
#while changed:
# changed = eliminate_common_subexpressions(block) \
# or fold_constants(block)
while
eliminate_common_subexpressions
(
block
)
\
def
optimize_block
(
block
):
"""Optimize a basic block."""
while
remove_redundancies
(
block
)
\
|
eliminate_common_subexpressions
(
block
)
\
|
fold_constants
(
block
)
\
|
copy_propagation
(
block
):
|
copy_propagation
(
block
)
\
|
algebraic_transformations
(
block
):
pass
def
optimize
(
statements
,
verbose
=
0
):
"""Optimization wrapper function, calls global and basic-block level
optimization functions."""
# Optimize on a global level
o
=
len
(
statements
)
optimize_global
(
statements
)
remove_redundant_jumps
(
statements
)
g
=
len
(
statements
)
# Optimize basic blocks
...
...
src/optimize/advanced.py
View file @
18a29e6f
from
src.statement
import
Statement
as
S
from
math
import
log
def
create_variable
():
return
'$15'
def
reg_dead_in
(
var
,
context
):
"""Check if a register is `dead' in a given list of statements."""
# TODO: Finish
for
s
in
context
:
if
s
.
defines
(
var
)
or
s
.
uses
(
var
):
return
False
return
True
def
find_free_reg
(
context
):
"""Find a temporary register that is free in a given list of statements."""
for
i
in
xrange
(
8
):
tmp
=
'$t%d'
%
i
if
reg_dead_in
(
tmp
,
context
):
return
tmp
raise
Exception
(
'No temporary register is available.'
)
def
eliminate_common_subexpressions
(
block
):
"""
Common subexpression elimination:
x = a + b -> u = a + b
y = a + b x = u
y = u
The algorithm used is as follows:
- Traverse through the statements in reverse order.
- If the statement can be possibly be eliminated, walk further collecting
all other occurrences of the expression until one of the arguments is
...
...
@@ -39,19 +62,22 @@ def eliminate_common_subexpressions(block):
# Replace a similar expression by a move instruction
if
s2
.
name
==
s
.
name
and
s2
[
1
:]
==
args
:
if
not
new_reg
:
new_reg
=
create_variable
(
)
new_reg
=
find_free_reg
(
block
[:
pointer
]
)
block
.
replace
(
1
,
[
S
(
'command'
,
'move'
,
s2
[
0
],
new_reg
)])
last
=
block
.
pointer
# Insert an additional expression with a new destination address
if
last
:
block
.
insert
(
S
(
'command'
,
s
.
name
,
[
new_reg
]
+
args
),
last
)
found
=
True
# Reset pointer to and continue from the original statement
block
.
pointer
=
pointer
if
last
:
# Insert an additional expression with a new destination address
block
.
insert
(
S
(
'command'
,
s
.
name
,
*
([
new_reg
]
+
args
)),
last
)
# Replace the original expression with a move statement
block
.
replace
(
1
,
[
S
(
'command'
,
'move'
,
s
[
0
],
new_reg
)])
found
=
True
block
.
reverse_statements
()
return
found
...
...
@@ -65,7 +91,11 @@ def to_hex(value):
def
fold_constants
(
block
):
"""
Constant folding:
- An immidiate load defines a register value:
x = 3 + 5 -> x = 8
y = x * 2 y = 16
To keep track of constant values, the following assumptions are made:
- An immediate load defines a register value:
li $reg, XX -> register[$reg] = XX
- Integer variable definition is of the following form:
li $reg, XX -> constants[VAR] = XX
...
...
@@ -130,7 +160,7 @@ def fold_constants(block):
if
s
.
name
==
'div'
:
result
=
to_hex
(
rs_val
/
rt_val
)
block
.
replace
(
1
,
[
S
(
'command'
,
'li'
,
result
)])
block
.
replace
(
1
,
[
S
(
'command'
,
'li'
,
r
d
,
r
esult
)])
register
[
rd
]
=
result
found
=
True
elif
rt_known
:
...
...
@@ -153,50 +183,88 @@ def fold_constants(block):
def
copy_propagation
(
block
):
"""
Rename values that were copied to there original, so the copy statement
might be useless, allowing it to be removed by dead code elimination.
Unpack a move instruction, by replacing its destination
address with its source address in the code following the move instruction.
This way, the move statement might be a target for dead code elimination.
move $regA, $regB move $regA, $regB
... ...
Code not writing $regA, -> ...
$regB ...
... ...
addu $regC, $regA, ... addu $regC, $regB, ...
"""
moves_from
=
[]
moves_to
=
[]
changed
=
False
while
not
block
.
end
():
s
=
block
.
read
()
if
len
(
s
)
==
3
:
print
"s[0] = "
,
s
[
0
]
print
"s[1] = "
,
s
[
1
]
print
"s[2] = "
,
s
[
2
]
if
moves_from
:
print
"fr: "
,
moves_from
print
"to: "
,
moves_to
if
s
.
is_command
(
'move'
)
and
s
[
0
]
not
in
moves_to
:
# Add this move to the lists, because it is not yet there.
moves_from
.
append
(
s
[
1
])
moves_to
.
append
(
s
[
0
])
print
"Added move to list."
elif
s
.
is_command
(
'move'
):
elif
s
.
is_command
(
'move'
)
and
s
[
0
]
in
moves_to
:
# This move is already in the lists, so only update it
for
i
in
xrange
(
len
(
moves_to
)):
if
moves_to
[
i
]
==
s
[
0
]:
moves_from
[
i
]
=
s
[
1
]
break
elif
len
(
s
)
==
3
and
s
[
0
]
in
moves_to
:
print
len
(
s
)
print
len
(
moves_to
)
for
i
in
xrange
(
len
(
moves_to
)
):
# The result gets overwritten, so remove the data from the list.
i
=
0
while
i
<
len
(
moves_to
):
if
moves_to
[
i
]
==
s
[
0
]:
del
moves_to
[
i
]
del
moves_from
[
i
]
"Removed move from list."
else
:
i
+=
1
elif
len
(
s
)
==
3
and
(
s
[
1
]
in
moves_to
or
s
[
2
]
in
moves_to
):
print
"Have to propagate."
# Check where the result of the move is used and replace it with
# the original variable.
for
i
in
xrange
(
len
(
moves_to
)):
if
s
[
1
]
==
moves_to
[
i
]:
s
[
1
]
=
moves_from
[
i
]
print
"Propagated"
break
if
s
[
2
]
==
moves_to
[
i
]:
s
[
2
]
=
moves_from
[
i
]
print
"Propagated"
print
""
return
False
break
changed
=
True
return
changed
def
algebraic_transformations
(
block
):
"""
Change ineffective or useless algebraic transformations. Handled are:
- x = y + 0 -> x = y
- x = y - 0 -> x = y
- x = y * 1 -> x = y
- x = y * 0 -> x = 0
- x = y * 2 -> x = x << 1
"""
changed
=
False
while
not
block
.
end
():
s
=
block
.
read
()
if
(
s
.
is_command
(
'addu'
)
or
s
.
is_command
(
'subu'
))
and
s
[
2
]
==
0
:
block
.
replace
(
1
,
[
S
(
'command'
,
'move'
,
s
[
0
],
s
[
1
])])
changed
=
True
elif
s
.
is_command
(
'mult'
)
and
s
[
2
]
==
1
:
block
.
replace
(
1
,
[
S
(
'command'
,
'move'
,
s
[
0
],
s
[
1
])])
changed
=
True
elif
s
.
is_command
(
'mult'
)
and
s
[
2
]
==
0
:
block
.
replace
(
1
,
[
S
(
'command'
,
'li'
,
'$1'
,
to_hex
(
0
))])
changed
=
True
elif
s
.
is_command
(
'mult'
):
shift_amount
=
log
(
s
[
2
],
2
)
if
shift_amount
.
is_integer
():
new_command
=
S
(
'command'
,
'sll'
,
s
[
0
],
s
[
1
],
shift_amount
)
block
.
replace
(
1
,
[
new_command
])
changed
=
True
return
changed
src/optimize/
standard
.py
→
src/optimize/
redundancies
.py
View file @
18a29e6f
import
re
def
redundant_
move_1
(
mov
,
statements
):
def
move_1
(
mov
,
statements
):
"""
mov $regA, $regA -> --- remove it
"""
...
...
@@ -11,7 +11,7 @@ def redundant_move_1(mov, statements):
return
True
def
redundant_
move_2
(
mov
,
statements
):
def
move_2
(
mov
,
statements
):
"""
mov $regA, $regB -> instr $regA, $regB, ...
instr $regA, $regA, ...
...
...
@@ -26,7 +26,7 @@ def redundant_move_2(mov, statements):
return
True
def
redundant_
move_3
(
ins
,
statements
):
def
move_3
(
ins
,
statements
):
"""
instr $regA, ... -> instr $4, ...
mov $4, $regA jal XX
...
...
@@ -47,7 +47,7 @@ def redundant_move_3(ins, statements):
return
True
def
redundant_
move_4
(
mov1
,
statements
):
def
move_4
(
mov1
,
statements
):
"""
mov $RegA, $RegB -> move $RegA, $RegB
mov $RegB, $RegA
...
...
@@ -62,7 +62,7 @@ def redundant_move_4(mov1, statements):
return
True
def
redundant_
load
(
sw
,
statements
):
def
load
(
sw
,
statements
):
"""
sw $regA, XX -> sw $regA, XX
ld $regA, XX
...
...
@@ -76,7 +76,7 @@ def redundant_load(sw, statements):
return
True
def
redundant_
shift
(
shift
,
statements
):
def
shift
(
shift
,
statements
):
"""
shift $regA, $regA, 0 -> --- remove it
"""
...
...
@@ -86,7 +86,7 @@ def redundant_shift(shift, statements):
return
True
def
redundant_
add
(
add
,
statements
):
def
add
(
add
,
statements
):
"""
add $regA, $regA, X -> lw ..., X($regA)
lw ..., 0($regA)
...
...
@@ -99,3 +99,28 @@ def redundant_add(add, statements):
statements
.
replace
(
2
,
[
lw
])
return
True
def
remove_redundant_jumps
(
statements
):
"""Optimize statement sequences on a global level."""
old_len
=
-
1
while
old_len
!=
len
(
statements
):
old_len
=
len
(
statements
)
while
not
statements
.
end
():
s
=
statements
.
read
()
# beq/bne ..., $Lx -> bne/beq ..., $Ly
# j $Ly $Lx:
# $Lx:
if
s
.
is_command
(
'beq'
,
'bne'
):
following
=
statements
.
peek
(
2
)
if
len
(
following
)
==
2
:
j
,
label
=
following
if
j
.
is_command
(
'j'
)
and
label
.
is_label
(
s
[
2
]):
s
.
name
=
'bne'
if
s
.
is_command
(
'beq'
)
else
'beq'
s
[
2
]
=
j
[
0
]
statements
.
replace
(
3
,
[
s
,
label
])
src/parser.py
View file @
18a29e6f
...
...
@@ -123,6 +123,6 @@ def parse_file(filename):
content = open(filename).read()
yacc.parse(content)
except IOError:
print '
File
"%s"
could
not
be
opened
' % filename
raise Exception('
File
"%s"
could
not
be
opened
' % filename)
return Block(statements)
src/statement.py
View file @
18a29e6f
...
...
@@ -88,6 +88,16 @@ class Statement:
return self[-1]
def defines(self, reg):
"""Check if this statement defines the given register."""
# TODO: Finish
return (self.is_load() or self.is_arith()) and self[0] == reg
def uses(self, reg):
"""Check if this statement uses the given register."""
# TODO: Finish
return (self.is_load() or self.is_arith()) and reg in self[1:]
class Block:
def __init__(self, statements=[]):
...
...
tests/test_optimize.py
View file @
18a29e6f
import
unittest
from
src.optimize
import
optimize_global
,
optimize_block
from
src.optimize.redundancies
import
remove_redundant_jumps
from
src.optimize
import
optimize_block
from
src.statement
import
Statement
as
S
,
Block
as
B
...
...
@@ -155,51 +156,51 @@ class TestOptimize(unittest.TestCase):
self
.
assertEquals
(
block2
.
statements
,
arguments2
)
self
.
assertEquals
(
block3
.
statements
,
arguments3
)
def
test_
optimize_global
_beq_j_true
(
self
):
def
test_
remove_redundant_jumps
_beq_j_true
(
self
):
block
=
B
([
self
.
foo
,
S
(
'command'
,
'beq'
,
'$regA'
,
'$regB'
,
'$Lx'
),
S
(
'command'
,
'j'
,
'$Ly'
),
S
(
'label'
,
'$Lx'
),
self
.
bar
])
optimize_global
(
block
)
remove_redundant_jumps
(
block
)
self
.
assertEquals
(
block
.
statements
,
[
self
.
foo
,
S
(
'command'
,
'bne'
,
'$regA'
,
'$regB'
,
'$Ly'
),
S
(
'label'
,
'$Lx'
),
self
.
bar
])
def
test_
optimize_global
_beq_j_false
(
self
):
def
test_
remove_redundant_jumps
_beq_j_false
(
self
):
arguments
=
[
self
.
foo
,
\
S
(
'command'
,
'beq'
,
'$regA'
,
'$regB'
,
'$Lz'
),
\
S
(
'command'
,
'j'
,
'$Ly'
),
\
S
(
'label'
,
'$Lx'
),
\
self
.
bar
]
block
=
B
(
arguments
)
optimize_global
(
block
)
remove_redundant_jumps
(
block
)
self
.
assertEquals
(
block
.
statements
,
arguments
)
def
test_
optimize_global
_bne_j_true
(
self
):
def
test_
remove_redundant_jumps
_bne_j_true
(
self
):
block
=
B
([
self
.
foo
,
S
(
'command'
,
'bne'
,
'$regA'
,
'$regB'
,
'$Lx'
),
S
(
'command'
,
'j'
,
'$Ly'
),
S
(
'label'
,
'$Lx'
),
self
.
bar
])
optimize_global
(
block
)
remove_redundant_jumps
(
block
)
self
.
assertEquals
(
block
.
statements
,
[
self
.
foo
,
S
(
'command'
,
'beq'
,
'$regA'
,
'$regB'
,
'$Ly'
),
S
(
'label'
,
'$Lx'
),
self
.
bar
])
def
test_
optimize_global
_bne_j_false
(
self
):
def
test_
remove_redundant_jumps
_bne_j_false
(
self
):
arguments
=
[
self
.
foo
,
\
S
(
'command'
,
'bne'
,
'$regA'
,
'$regB'
,
'$Lz'
),
\
S
(
'command'
,
'j'
,
'$Ly'
),
\
S
(
'label'
,
'$Lx'
),
\
self
.
bar
]
block
=
B
(
arguments
)
optimize_global
(
block
)
remove_redundant_jumps
(
block
)
self
.
assertEquals
(
block
.
statements
,
arguments
)
...
...
tests/test_optimize_advanced.py
View file @
18a29e6f
import
unittest
from
copy
import
copy
from
src.optimize.advanced
import
eliminate_common_subexpressions
,
\
fold_constants
,
copy_propagation
fold_constants
,
copy_propagation
,
algebraic_transformations
from
src.statement
import
Statement
as
S
,
Block
as
B
...
...
@@ -11,33 +12,162 @@ class TestOptimizeAdvanced(unittest.TestCase):
self
.
foo
=
S
(
'command'
,
'foo'
)
self
.
bar
=
S
(
'command'
,
'bar'
)
def
test_eliminate_common_subexpressions
(
self
):
def
tearDown
(
self
):
del
self
.
foo
del
self
.
bar
def
test_eliminate_common_subexpressions_simple
(
self
):
b
=
B
([
S
(
'command'
,
'addu'
,
'$regC'
,
'$regA'
,
'$regB'
),
S
(
'command'
,
'addu'
,
'$regD'
,
'$regA'
,
'$regB'
)])
e
=
[
S
(
'command'
,
'addu'
,
'$t0'
,
'$regA'
,
'$regB'
),
\
S
(
'command'
,
'move'
,
'$regC'
,
'$t0'
),
\
S
(
'command'
,
'move'
,
'$regD'
,
'$t0'
)]
eliminate_common_subexpressions
(
b
)
self
.
assertEqual
(
b
.
statements
,
e
)
def
test_eliminate_common_subexpressions_assigned
(
self
):
b
=
B
([
S
(
'command'
,
'addu'
,
'$regC'
,
'$regA'
,
'$regB'
),
S
(
'command'
,
'li'
,
'$regA'
,
'0x00000001'
),
S
(
'command'
,
'addu'
,
'$regD'
,
'$regA'
,
'$regB'
)])
e
=
copy
(
b
.
statements
)
eliminate_common_subexpressions
(
b
)
self
.
assertEqual
(
b
.
statements
,
e
)
def
test_fold_constants
(
self
):
pass
def
test_copy_propagation_true
(
self
):
print
"testing true"
def
test_copy_propagation_true
(
self
):
block
=
B
([
self
.
foo
,
S
(
'command'
,
'move'
,
'$1'
,
'$2'
),
self
.
foo
,
S
(
'command'
,
'addu'
,
'$3'
,
'$1'
,
'$4'
),
self
.
bar
])
copy_propagation
(
block
)
self
.
assertTrue
(
copy_propagation
(
block
)
)
self
.
assertEqual
(
block
.
statements
,
[
self
.
foo
,
S
(
'command'
,
'move'
,
'$1'
,
'$2'
),
self
.
foo
,
S
(
'command'
,
'addu'
,
'$3'
,
'$2'
,
'$4'
),
self
.
bar
])
print
"Test true succesfull"
# def test_copy_propagation_false(self):
# print "Testing false"
# arguments = [self.foo,
# S('command', 'move', '$1', '$2'),
# S('command', 'move', '$10', '$20'),
# S('command', 'addu', '$1', '$5', 1),
# S('command', 'addu', '$3', '$1', '$4'),
# self.bar]
# block = B(arguments)
# copy_propagation(block)
# self.assertEqual(block.statements, arguments)
def
test_copy_propagation_overwrite
(
self
):
block
=
B
([
self
.
foo
,
\
S
(
'command'
,
'move'
,
'$1'
,
'$2'
),
S
(
'command'
,
'move'
,
'$1'
,
'$5'
),
S
(
'command'
,
'addu'
,
'$3'
,
'$1'
,
'$4'
),
self
.
bar
])
self
.
assertTrue
(
copy_propagation
(
block
))
self
.
assertEqual
(
block
.
statements
,
[
self
.
foo
,
S
(
'command'
,
'move'
,
'$1'
,
'$2'
),
S
(
'command'
,
'move'
,
'$1'
,
'$5'
),
S
(
'command'
,
'addu'
,
'$3'
,
'$5'
,
'$4'
),
self
.
bar
])
def
test_copy_propagation_false
(
self
):
arguments
=
[
self
.
foo
,
S
(
'command'
,
'move'
,
'$1'
,
'$2'
),
S
(
'command'
,
'move'
,
'$10'
,
'$20'
),
S
(
'command'
,
'addu'
,
'$1'
,
'$5'
,
1
),
S
(
'command'
,
'addu'
,
'$3'
,
'$1'
,
'$4'
),
self
.
bar
]
block
=
B
(
arguments
)
self
.
assertFalse
(
copy_propagation
(
block
))
self
.
assertEqual
(
block
.
statements
,
arguments
)
def
test_copy_propagation_false_severalmoves
(
self
):
arguments
=
[
self
.
foo
,
S
(
'command'
,
'move'
,
'$1'
,
'$2'
),
self
.
foo
,
S
(
'command'
,
'addu'
,
'$1'
,
'$5'
,
1
),
S
(
'command'
,
'addu'
,
'$3'
,
'$1'
,
'$4'
),
self
.
bar
]
block
=
B
(
arguments
)
self
.
assertFalse
(
copy_propagation
(
block
))
self
.
assertEqual
(
block
.
statements
,
arguments
)
def
test_algebraic_transforms_add0
(
self
):
block
=
B
([
self
.
foo
,
S
(
'command'
,
'addu'
,
'$1'
,
'$2'
,
0
),
self
.
bar
])
self
.
assertTrue
(
algebraic_transformations
(
block
))
self
.
assertEqual
(
block
.
statements
,
[
self
.
foo
,
S
(
'command'
,
'move'
,
'$1'
,
'$2'
),
self
.
bar
])
def
test_algebraic_transforms_add1
(
self
):
arguments
=
[
self
.
foo
,
S
(
'command'
,
'addu'
,
'$1'
,
'$2'
,
1
),
self
.
bar
]
block
=
B
(
arguments
)
self
.
assertFalse
(
algebraic_transformations
(
block
))
self
.
assertEqual
(
block
.
statements
,
arguments
)
def
test_algebraic_transforms_sub0
(
self
):
block
=
B
([
self
.
foo
,
S
(
'command'
,
'subu'
,
'$1'
,
'$2'
,
0
),
self
.
bar
])
self
.
assertTrue
(
algebraic_transformations
(
block
))
self
.
assertEqual
(
block
.
statements
,
[
self
.
foo
,
S
(
'command'
,
'move'
,
'$1'
,
'$2'
),
self
.
bar
])
def
test_algebraic_transforms_sub1
(
self
):
arguments
=
[
self
.
foo
,
S
(
'command'
,
'subu'
,
'$1'
,
'$2'
,
1
),
self
.
bar
]
block
=
B
(
arguments
)
self
.
assertFalse
(
algebraic_transformations
(
block
))
self
.
assertEqual
(
block
.
statements
,
arguments
)
def
test_algebraic_transforms_mult0
(
self
):
block
=
B
([
self
.
foo
,
S
(
'command'
,
'mult'
,
'$1'
,
'$2'
,
0
),
self
.
bar
])
self
.
assertTrue
(
algebraic_transformations
(
block
))
self
.
assertEqual
(
block
.
statements
,
[
self
.
foo
,
S
(
'command'
,
'li'
,
'$1'
,
'0x00000000'
),
self
.
bar
])
def
test_algebraic_transforms_mult1
(
self
):
block
=
B
([
self
.
foo
,
S
(
'command'
,
'mult'
,
'$1'
,
'$2'
,
1
),
self
.
bar
])
self
.
assertTrue
(
algebraic_transformations
(
block
))
self
.
assertEqual
(
block
.
statements
,
[
self
.
foo
,
S
(
'command'
,
'move'
,
'$1'
,
'$2'
),
self
.
bar
])
def
test_algebraic_transforms_mult2
(
self
):
block
=
B
([
self
.
foo
,
S
(
'command'
,
'mult'
,
'$1'
,
'$2'
,
2
),
self
.
bar
])
self
.
assertTrue
(
algebraic_transformations
(
block
))
self
.
assertEqual
(
block
.
statements
,
[
self
.
foo
,
S
(
'command'
,
'sll'
,
'$1'
,
'$2'
,
1
),
self
.
bar
])
def
test_algebraic_transforms_mult16
(
self
):
block
=
B
([
self
.
foo
,
S
(
'command'
,
'mult'
,
'$1'
,
'$2'
,
16
),
self
.
bar
])
self
.
assertTrue
(
algebraic_transformations
(
block
))
self
.
assertEqual
(
block
.
statements
,
[
self
.
foo
,
S
(
'command'
,
'sll'
,
'$1'
,
'$2'
,
4
),
self
.
bar
])
def
test_algebraic_transforms_mult3
(
self
):
arguments
=
[
self
.
foo
,
S
(
'command'
,
'mult'
,
'$1'
,
'$2'
,
3
),
self
.
bar
]
block
=
B
(
arguments
)
self
.
assertFalse
(
algebraic_transformations
(
block
))
self
.
assertEqual
(
block
.
statements
,
arguments
)
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