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#
# this is a rather strict implementation of a bit vector class
# it is accessed the same way as an array of python-ints, except
# the value must be 0 or 1
#
import
sys
;
rprt
=
sys
.
stderr
.
write
#for debugging
class
error
(
Exception
):
pass
def
_check_value
(
value
):
if
type
(
value
)
!=
type
(
0
)
or
not
0
<=
value
<
2
:
raise
error
,
'bitvec() items must have int value 0 or 1'
import
math
def
_compute_len
(
param
):
mant
,
l
=
math
.
frexp
(
float
(
param
))
bitmask
=
1L
<<
l
if
bitmask
<=
param
:
raise
RuntimeError
(
'(param, l) = %r'
%
((
param
,
l
),))
while
l
:
bitmask
=
bitmask
>>
1
if
param
&
bitmask
:
break
l
=
l
-
1
return
l
def
_check_key
(
len
,
key
):
if
type
(
key
)
!=
type
(
0
):
raise
TypeError
,
'sequence subscript not int'
if
key
<
0
:
key
=
key
+
len
if
not
0
<=
key
<
len
:
raise
IndexError
,
'list index out of range'
return
key
def
_check_slice
(
len
,
i
,
j
):
#the type is ok, Python already checked that
i
,
j
=
max
(
i
,
0
),
min
(
len
,
j
)
if
i
>
j
:
i
=
j
return
i
,
j
class
BitVec
:
def
__init__
(
self
,
*
params
):
self
.
_data
=
0L
self
.
_len
=
0
if
not
len
(
params
):
pass
elif
len
(
params
)
==
1
:
param
,
=
params
if
type
(
param
)
==
type
([]):
value
=
0L
bit_mask
=
1L
for
item
in
param
:
# strict check
#_check_value(item)
if
item
:
value
=
value
|
bit_mask
bit_mask
=
bit_mask
<<
1
self
.
_data
=
value
self
.
_len
=
len
(
param
)
elif
type
(
param
)
==
type
(
0L
):
if
param
<
0
:
raise
error
,
'bitvec() can
\'
t handle negative longs'
self
.
_data
=
param
self
.
_len
=
_compute_len
(
param
)
else
:
raise
error
,
'bitvec() requires array or long parameter'
elif
len
(
params
)
==
2
:
param
,
length
=
params
if
type
(
param
)
==
type
(
0L
):
if
param
<
0
:
raise
error
, \
'can
\'
t handle negative longs'
self
.
_data
=
param
if
type
(
length
)
!=
type
(
0
):
raise
error
,
'bitvec()
\'
s 2nd parameter must be int'
computed_length
=
_compute_len
(
param
)
if
computed_length
>
length
:
print
'warning: bitvec() value is longer than the length indicates, truncating value'
self
.
_data
=
self
.
_data
&
\
((
1L
<<
length
)
-
1
)
self
.
_len
=
length
else
:
raise
error
,
'bitvec() requires array or long parameter'
else
:
raise
error
,
'bitvec() requires 0 -- 2 parameter(s)'
def
append
(
self
,
item
):
#_check_value(item)
#self[self._len:self._len] = [item]
self
[
self
.
_len
:
self
.
_len
]
=
\
BitVec
(
long
(
not
not
item
),
1
)
def
count
(
self
,
value
):
#_check_value(value)
if
value
:
data
=
self
.
_data
else
:
data
=
(
~
self
).
_data
count
=
0
while
data
:
data
,
count
=
data
>>
1
,
count
+
(
data
&
1
!=
0
)
return
count
def
index
(
self
,
value
):
#_check_value(value):
if
value
:
data
=
self
.
_data
else
:
data
=
(
~
self
).
_data
index
=
0
if
not
data
:
raise
ValueError
,
'list.index(x): x not in list'
while
not
(
data
&
1
):
data
,
index
=
data
>>
1
,
index
+
1
return
index
def
insert
(
self
,
index
,
item
):
#_check_value(item)
#self[index:index] = [item]
self
[
index
:
index
]
=
BitVec
(
long
(
not
not
item
),
1
)
def
remove
(
self
,
value
):
del
self
[
self
.
index
(
value
)]
def
reverse
(
self
):
#ouch, this one is expensive!
#for i in self._len>>1: self[i], self[l-i] = self[l-i], self[i]
data
,
result
=
self
.
_data
,
0L
for
i
in
range
(
self
.
_len
):
if
not
data
:
result
=
result
<<
(
self
.
_len
-
i
)
break
result
,
data
=
(
result
<<
1
)
|
(
data
&
1
),
data
>>
1
self
.
_data
=
result
def
sort
(
self
):
c
=
self
.
count
(
1
)
self
.
_data
=
((
1L
<<
c
)
-
1
)
<<
(
self
.
_len
-
c
)
def
copy
(
self
):
return
BitVec
(
self
.
_data
,
self
.
_len
)
def
seq
(
self
):
result
=
[]
for
i
in
self
:
result
.
append
(
i
)
return
result
def
__repr__
(
self
):
##rprt('<bitvec class instance object>.' + '__repr__()\n')
return
'bitvec(%r, %r)'
%
(
self
.
_data
,
self
.
_len
)
def
__cmp__
(
self
,
other
,
*
rest
):
#rprt('%r.__cmp__%r\n' % (self, (other,) + rest))
if
type
(
other
)
!=
type
(
self
):
other
=
apply
(
bitvec
, (
other
, )
+
rest
)
#expensive solution... recursive binary, with slicing
length
=
self
.
_len
if
length
==
0
or
other
.
_len
==
0
:
return
cmp
(
length
,
other
.
_len
)
if
length
!=
other
.
_len
:
min_length
=
min
(
length
,
other
.
_len
)
return
cmp
(
self
[:
min_length
],
other
[:
min_length
])
or
\
cmp
(
self
[
min_length
:],
other
[
min_length
:])
#the lengths are the same now...
if
self
.
_data
==
other
.
_data
:
return
0
if
length
==
1
:
return
cmp
(
self
[
0
],
other
[
0
])
else
:
length
=
length
>>
1
return
cmp
(
self
[:
length
],
other
[:
length
])
or
\
cmp
(
self
[
length
:],
other
[
length
:])
def
__len__
(
self
):
#rprt('%r.__len__()\n' % (self,))
return
self
.
_len
def
__getitem__
(
self
,
key
):
#rprt('%r.__getitem__(%r)\n' % (self, key))
key
=
_check_key
(
self
.
_len
,
key
)
return
self
.
_data
&
(
1L
<<
key
)
!=
0
def
__setitem__
(
self
,
key
,
value
):
#rprt('%r.__setitem__(%r, %r)\n' % (self, key, value))
key
=
_check_key
(
self
.
_len
,
key
)
#_check_value(value)
if
value
:
self
.
_data
=
self
.
_data
|
(
1L
<<
key
)
else
:
self
.
_data
=
self
.
_data
&
~
(
1L
<<
key
)
def
__delitem__
(
self
,
key
):
#rprt('%r.__delitem__(%r)\n' % (self, key))
key
=
_check_key
(
self
.
_len
,
key
)
#el cheapo solution...
self
.
_data
=
self
[:
key
].
_data
|
self
[
key
+
1
:].
_data
>>
key
self
.
_len
=
self
.
_len
-
1
def
__getslice__
(
self
,
i
,
j
):
#rprt('%r.__getslice__(%r, %r)\n' % (self, i, j))
i
,
j
=
_check_slice
(
self
.
_len
,
i
,
j
)
if
i
>=
j
:
return
BitVec
(
0L
,
0
)
if
i
:
ndata
=
self
.
_data
>>
i
else
:
ndata
=
self
.
_data
nlength
=
j
-
i
if
j
!=
self
.
_len
:
#we'll have to invent faster variants here
#e.g. mod_2exp
ndata
=
ndata
&
((
1L
<<
nlength
)
-
1
)
return
BitVec
(
ndata
,
nlength
)
def
__setslice__
(
self
,
i
,
j
,
sequence
,
*
rest
):
#rprt('%s.__setslice__%r\n' % (self, (i, j, sequence) + rest))
i
,
j
=
_check_slice
(
self
.
_len
,
i
,
j
)
if
type
(
sequence
)
!=
type
(
self
):
sequence
=
apply
(
bitvec
, (
sequence
, )
+
rest
)
#sequence is now of our own type
ls_part
=
self
[:
i
]
ms_part
=
self
[
j
:]
self
.
_data
=
ls_part
.
_data
|
\
((
sequence
.
_data
|
\
(
ms_part
.
_data
<<
sequence
.
_len
))
<<
ls_part
.
_len
)
self
.
_len
=
self
.
_len
-
j
+
i
+
sequence
.
_len
def
__delslice__
(
self
,
i
,
j
):
#rprt('%r.__delslice__(%r, %r)\n' % (self, i, j))
i
,
j
=
_check_slice
(
self
.
_len
,
i
,
j
)
if
i
==
0
and
j
==
self
.
_len
:
self
.
_data
,
self
.
_len
=
0L
,
0
elif
i
<
j
:
self
.
_data
=
self
[:
i
].
_data
|
(
self
[
j
:].
_data
>>
i
)
self
.
_len
=
self
.
_len
-
j
+
i
def
__add__
(
self
,
other
):
#rprt('%r.__add__(%r)\n' % (self, other))
retval
=
self
.
copy
()
retval
[
self
.
_len
:
self
.
_len
]
=
other
return
retval
def
__mul__
(
self
,
multiplier
):
#rprt('%r.__mul__(%r)\n' % (self, multiplier))
if
type
(
multiplier
)
!=
type
(
0
):
raise
TypeError
,
'sequence subscript not int'
if
multiplier
<=
0
:
return
BitVec
(
0L
,
0
)
elif
multiplier
==
1
:
return
self
.
copy
()
#handle special cases all 0 or all 1...
if
self
.
_data
==
0L
:
return
BitVec
(
0L
,
self
.
_len
*
multiplier
)
elif
(
~
self
).
_data
==
0L
:
return
~
BitVec
(
0L
,
self
.
_len
*
multiplier
)
#otherwise el cheapo again...
retval
=
BitVec
(
0L
,
0
)
while
multiplier
:
retval
,
multiplier
=
retval
+
self
,
multiplier
-
1
return
retval
def
__and__
(
self
,
otherseq
,
*
rest
):
#rprt('%r.__and__%r\n' % (self, (otherseq,) + rest))
if
type
(
otherseq
)
!=
type
(
self
):
otherseq
=
apply
(
bitvec
, (
otherseq
, )
+
rest
)
#sequence is now of our own type
return
BitVec
(
self
.
_data
&
otherseq
.
_data
, \
min
(
self
.
_len
,
otherseq
.
_len
))
def
__xor__
(
self
,
otherseq
,
*
rest
):
#rprt('%r.__xor__%r\n' % (self, (otherseq,) + rest))
if
type
(
otherseq
)
!=
type
(
self
):
otherseq
=
apply
(
bitvec
, (
otherseq
, )
+
rest
)
#sequence is now of our own type
return
BitVec
(
self
.
_data
^
otherseq
.
_data
, \
max
(
self
.
_len
,
otherseq
.
_len
))
def
__or__
(
self
,
otherseq
,
*
rest
):
#rprt('%r.__or__%r\n' % (self, (otherseq,) + rest))
if
type
(
otherseq
)
!=
type
(
self
):
otherseq
=
apply
(
bitvec
, (
otherseq
, )
+
rest
)
#sequence is now of our own type
return
BitVec
(
self
.
_data
|
otherseq
.
_data
, \
max
(
self
.
_len
,
otherseq
.
_len
))
def
__invert__
(
self
):
#rprt('%r.__invert__()\n' % (self,))
return
BitVec
(
~
self
.
_data
&
((
1L
<<
self
.
_len
)
-
1
), \
self
.
_len
)
def
__coerce__
(
self
,
otherseq
,
*
rest
):
#needed for *some* of the arithmetic operations
#rprt('%r.__coerce__%r\n' % (self, (otherseq,) + rest))
if
type
(
otherseq
)
!=
type
(
self
):
otherseq
=
apply
(
bitvec
, (
otherseq
, )
+
rest
)
return
self
,
otherseq
def
__int__
(
self
):
return
int
(
self
.
_data
)
def
__long__
(
self
):
return
long
(
self
.
_data
)
def
__float__
(
self
):
return
float
(
self
.
_data
)
bitvec
=
BitVec
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