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INT_EQ = 0
INT_B_IN_A = 1
INT_A_IN_B = -1
INT_DISJOIN = 2
INT_JOIN = 3
INT_JOIN_AB = 4
INT_JOIN_BA = 5
# 0 => eq
# 1 => b in a
# -1 => a in b
# 2 => disjoin
# 3 => join
# 4 => join a,b touch
# 5 => join b,a touch
def cmp_interval(a, b):
if a == b:
return INT_EQ
a1, a2 = a
b1, b2 = b
if a1 <= b1 and a2 >= b2:
return INT_B_IN_A
if b1 <= a1 and b2 >= a2:
return INT_A_IN_B
if a2 + 1 == b1:
return INT_JOIN_AB
if b2 + 1 == a1:
return INT_JOIN_BA
if a1 > b2 + 1 or b1 > a2 + 1:
return INT_DISJOIN
return INT_JOIN
# interval is: [a, b]
class interval:
def __init__(self, a=None):
if a is None:
a = []
if isinstance(a, interval):
a = a.intervals
self.is_cannon = False
self.intervals = a
self.cannon()
def __iter__(self):
for x in self.intervals:
yield x
@classmethod
def cannon_list(cls, tmp):
"""
Return a cannonizes list of intervals
"""
tmp = sorted([x for x in tmp if x[0] <= x[1]])
out = []
if not tmp:
return out
out.append(tmp.pop())
while tmp:
x = tmp.pop()
rez = cmp_interval(out[-1], x)
# print out[-1], x, rez
if rez == INT_EQ:
continue
elif rez == INT_DISJOIN:
out.append(x)
elif rez == INT_B_IN_A:
continue
elif rez in [INT_JOIN, INT_JOIN_AB, INT_JOIN_BA, INT_A_IN_B]:
u, v = x
while out and cmp_interval(out[-1], (u, v)) in [
INT_JOIN, INT_JOIN_AB, INT_JOIN_BA, INT_A_IN_B]:
u = min(u, out[-1][0])
v = max(v, out[-1][1])
out.pop()
out.append((u, v))
else:
raise ValueError('unknown state', rez)
return out[::-1]
def cannon(self):
if self.is_cannon is True:
return
self.intervals = interval.cannon_list(self.intervals)
self.is_cannon = True
def __repr__(self):
if self.intervals:
o = " U ".join(["[0x%X 0x%X]" % (x[0], x[1])
for x in self.intervals])
else:
o = "[]"
return o
def __contains__(self, i):
if isinstance(i, interval):
for x in self.intervals:
is_out = True
for y in i.intervals:
if cmp_interval(x, y) in [INT_EQ, INT_B_IN_A]:
is_out = False
break
if is_out:
return False
return True
else:
for x in self.intervals:
if x[0] <= i <= x[1]:
return True
return False
def __eq__(self, i):
return self.intervals == i.intervals
def __add__(self, i):
if isinstance(i, interval):
i = i.intervals
i = interval(self.intervals + i)
return i
def __sub__(self, v):
to_test = self.intervals[:]
i = -1
to_del = v.intervals[:]
while i < len(to_test) - 1:
i += 1
x = to_test[i]
if x[0] > x[1]:
del(to_test[i])
i -= 1
continue
while to_del and to_del[0][1] < x[0]:
del(to_del[0])
for y in to_del:
if y[0] > x[1]:
break
rez = cmp_interval(x, y)
if rez == INT_DISJOIN:
continue
elif rez == INT_EQ:
del(to_test[i])
i -= 1
break
elif rez == INT_A_IN_B:
del(to_test[i])
i -= 1
break
elif rez == INT_B_IN_A:
del(to_test[i])
i1 = (x[0], y[0] - 1)
i2 = (y[1] + 1, x[1])
to_test[i:i] = [i1, i2]
i -= 1
break
elif rez in [INT_JOIN_AB, INT_JOIN_BA]:
continue
elif rez == INT_JOIN:
del(to_test[i])
if x[0] < y[0]:
to_test[i:i] = [(x[0], y[0] - 1)]
else:
to_test[i:i] = [(y[1] + 1, x[1])]
i -= 1
break
else:
raise ValueError('unknown state', rez)
return interval(to_test)
def __and__(self, v):
out = []
for x in self.intervals:
# print "x", x
if x[0] > x[1]:
continue
for y in v.intervals:
# print 'y', y
rez = cmp_interval(x, y)
# print x, y, rez
if rez == INT_DISJOIN:
continue
elif rez == INT_EQ:
out.append(x)
continue
elif rez == INT_A_IN_B:
out.append(x)
continue
elif rez == INT_B_IN_A:
out.append(y)
continue
elif rez == INT_JOIN_AB:
continue
elif rez == INT_JOIN_BA:
continue
elif rez == INT_JOIN:
if x[0] < y[0]:
out.append((y[0], x[1]))
else:
out.append((x[0], y[1]))
continue
else:
raise ValueError('unknown state', rez)
return interval(out)
def hull(self):
if not self.intervals:
return None, None
return self.intervals[0][0], self.intervals[-1][1]
def show(self, img_x=1350, img_y=20, dry_run=False):
"""
show image representing the itnerval
"""
try:
import Image
import ImageDraw
except ImportError:
print 'cannot import python PIL imaging'
return
img = Image.new('RGB', (img_x, img_y), (100, 100, 100))
draw = ImageDraw.Draw(img)
i_min, i_max = self.hull()
print hex(i_min), hex(i_max)
def addr2x(addr):
return (addr - i_min) * img_x / (i_max - i_min)
for a, b in self.intervals:
draw.rectangle((addr2x(a), 0, addr2x(b), img_y), (200, 0, 0))
if dry_run is False:
img.show()
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