/
test_xv6inode.py
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/
test_xv6inode.py
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import disk
from xv6inode import *
import unittest
from yggdrasil.diskspec import *
from yggdrasil.util import *
from yggdrasil import test
def FreshAttr():
bsize = FreshSize('bsize')
mtime = FreshSize('mtime')
mode = FreshSize('mode')
nlink = FreshSize('nlink')
return Stat(bsize, mtime, mode, nlink)
def attr_eq(a, b):
return And(a.size == b.size,
a.mtime == b.mtime,
a.mode == b.mode)
class InodeDiskRefinement(test.RefinementTest):
def create_spec(self, mach):
mappedarray = FreshDiskArray('mappedarray')
attr_array = FreshDiskArray('spec_attr', domain=BitVecSort(32))
diskarray = FreshDiskArray('diskarray')
return InodeSpec(mach, [mappedarray, attr_array, diskarray])
def create_impl(self, mach):
freemaparray = FreshDiskArray('freemaparray')
inodemetaarray = FreshDiskArray('inodemetaarray', domain=BitVecSort(32))
inodedataarray = FreshDiskArray('inodedataarray', domain=BitVecSort(32))
diskarray = FreshDiskArray('diskarray')
txndisk = MultiTxnDisk(mach, [freemaparray, inodemetaarray, inodedataarray, diskarray])
return InodeDisk(txndisk, Allocator64, BitmapSpec, InodePackSpec)
def pre_post(self, spec, impl, fnargs, *args, **kwargs):
pre_reverse_map = Function(fresh_name('reverse_map'), SizeSort, SizeSort)
bid = BitVec(fresh_name('bid'), 64)
ino1 = BitVec(fresh_name('ino'), 32)
off1 = BitVec(fresh_name('off'), 32)
pre = ForAll([bid],
And(
Or(impl.is_free(bid), Exists([ino1, off1], impl.mappingi(Concat(ino1, off1)) == bid)),
# mappings should be the same
spec.is_mapped(bid) == impl.is_mapped(bid),
# Contents of mapped blocks should be the same
Implies(impl.is_mapped(bid),
impl.read(impl.mappingi(bid)) == spec.read(spec.mappingi(bid))),
attr_eq(impl.get_iattr(Extract(63, 32, bid)), spec.get_iattr(Extract(63, 32, bid))),
# Mapping should be injective
Implies(impl.is_mapped(bid),
pre_reverse_map(impl.mappingi(bid)) == bid),
# Mapped blocks should be allocated
Implies(impl.is_mapped(bid), Not(impl.is_free(impl.mappingi(bid))))))
pre = And(pre, ULT(fnargs[0], InodeDisk.NDIRECT))
(spec, impl, args, (_, lbn)) = yield pre
if len(args) == 1 and lbn is not None:
post_reverse_map = lambda x: If(x == lbn, args[0], pre_reverse_map(x))
else:
post_reverse_map = pre_reverse_map
post = ForAll([bid],
And(
Or(impl.is_free(bid), Exists([ino1, off1], impl.mappingi(Concat(ino1, off1)) == bid)),
# mappings should be the same
spec.is_mapped(bid) == impl.is_mapped(bid),
# Contents of mapped blocks should be the same
Implies(impl.is_mapped(bid),
impl.read(impl.mappingi(bid)) == spec.read(spec.mappingi(bid))),
attr_eq(impl.get_iattr(Extract(63, 32, bid)), spec.get_iattr(Extract(63, 32, bid))),
# Mapping should be injective
Implies(impl.is_mapped(bid),
post_reverse_map(impl.mappingi(bid)) == bid),
# Mapped blocks should be allocated
Implies(impl.is_mapped(bid), Not(impl.is_free(impl.mappingi(bid))))))
yield post
def match_set_iattr(self):
ino = BitVec(fresh_name('ino'), 32)
attr = FreshAttr()
yield (ino, attr)
def _create_bid(self):
bid = BitVec(fresh_name('ino'), 64)
yield (bid,)
match_bunmap = _create_bid
match_bmap = _create_bid
# Some regular tests below
def test_bmap(self):
mach = Machine()
impl = self.create_impl(mach)
ino = BitVec(fresh_name('ino'), 32)
off = BitVec(fresh_name('off'), 32)
vbn = Concat(ino, off)
mapped = impl.is_mapped(vbn)
pre = Not(mapped)
pre = And(pre, ULT(off, InodeDisk.NDIRECT))
impl.begin_tx()
impl.bmap(vbn)
impl.commit_tx()
post = impl.is_mapped(vbn)
pre = And(pre, *disk.assertion.assertions)
self.prove(Implies(pre, post))
def test_bunmap(self):
mach = Machine()
impl = self.create_impl(mach)
ino = BitVec(fresh_name('ino'), 32)
off = BitVec(fresh_name('off'), 32)
vbn = Concat(ino, off)
mapped = impl.is_mapped(vbn)
pre = mapped
pre = And(pre, ULT(off, InodeDisk.NDIRECT))
impl.begin_tx()
impl.bunmap(vbn)
impl.commit_tx()
post = Not(impl.is_mapped(vbn))
pre = And(pre, *disk.assertion.assertions)
self.prove(Implies(pre, post))
class IndirectInodeDiskRefinement(test.RefinementTest):
def create_spec(self, mach):
mappedarray = FreshDiskArray('mappedarray')
attr_array = FreshDiskArray('spec_attr', domain=BitVecSort(32))
diskarray = FreshDiskArray('diskarray')
return InodeSpec(mach, [mappedarray, attr_array, diskarray])
def create_impl(self, mach):
freemaparray = FreshDiskArray('freemaparray')
inodemetaarray = FreshDiskArray('inodemetaarray', domain=BitVecSort(32))
inodedataarray = FreshDiskArray('inodedataarray', domain=BitVecSort(32))
diskarray = FreshDiskArray('diskarray')
txndisk = MultiTxnDisk(mach, [freemaparray, inodemetaarray, inodedataarray, diskarray])
inodedisk = InodeDisk(txndisk, Allocator64, BitmapSpec, InodePackSpec)
return IndirectInodeDisk(inodedisk)
def pre_post(self, spec, impl, fnargs, *args, **kwargs):
pre_reverse_map = Function(fresh_name('reverse_map'), SizeSort, SizeSort)
# bid = BitVec(fresh_name('bid'), 64)
# ino = Extract(63, 32, bid)
# off = Extract(31, 0, bid)
ino = FreshBitVec('ino', 32)
off = FreshBitVec('off', 32)
bid = Concat(ino, off)
pre = ForAll([ino, off],
And(
# Mapped blocks should be allocated
Implies(impl.is_mapped(bid), Not(impl.is_free(impl.mappingi(bid)))),
# Mapping should be injective
Implies(impl.is_mapped(bid), pre_reverse_map(impl.mappingi(bid)) == bid),
attr_eq(impl.get_iattr(ino), spec.get_iattr(ino)),
# mappings should be the same
Implies(off != InodeDisk.NDIRECT - 1,
And(
Implies(impl.is_mapped(bid),
impl.read(impl.mappingi(bid)) == spec.read(spec.mappingi(bid))),
# mapping should be the same
spec.is_mapped(bid) == impl.is_mapped(bid)))))
pre = And(pre, ULT(fnargs[0], InodeDisk.NDIRECT + IndirectInodeDisk.NINDIRECT))
# pre = And(pre, ULT(fnargs[0], InodeDisk.NDIRECT))
pre = And(pre, fnargs[0] != InodeDisk.NDIRECT - 1)
if kwargs['fname'] == 'bmap' and kwargs['crash']:
self.show(pre)
elif kwargs['fname'] == 'bunmap':
self.show(pre)
(spec, impl, args, (_, lbn)) = yield pre
lbn_indirect = impl.mappingi(Concat(ino, BitVecVal(InodeDisk.NDIRECT - 1, 32)))
if len(args) == 1 and lbn is not None:
post_reverse_map = lambda x: If(x == lbn,
args[0],
If(x == lbn_indirect,
Concat(ino, BitVecVal(InodeDisk.NDIRECT - 1, 32)),
pre_reverse_map(x)))
else:
post_reverse_map = pre_reverse_map
post = ForAll([ino, off],
And(
# Mapped blocks should be allocated
Implies(impl.is_mapped(bid), Not(impl.is_free(impl.mappingi(bid)))),
# # Mapping should be injective
Implies(impl.is_mapped(bid), post_reverse_map(impl.mappingi(bid)) == bid),
attr_eq(impl.get_iattr(ino), spec.get_iattr(ino)),
# mappings should be the same
Implies(off != InodeDisk.NDIRECT - 1,
And(
Implies(impl.is_mapped(bid),
impl.read(impl.mappingi(bid)) == spec.read(spec.mappingi(bid))),
# mapping should be the same
spec.is_mapped(bid) == impl.is_mapped(bid)
))))
yield post
@test.z3_option(AUTO_CONFIG=False)
def match_set_iattr(self):
ino = BitVec(fresh_name('ino'), 32)
attr = FreshAttr()
yield (ino, attr)
@test.z3_option(AUTO_CONFIG=False)
def _create_bid(self):
# bid = BitVec(fresh_name('ino'), 64)
ino = FreshBitVec('ino', 32)
off = FreshBitVec('off', 32)
bid = Concat(ino, off)
yield (bid,)
match_bunmap = _create_bid
# match_bunmap.debug = True
match_bmap = _create_bid
# match_bmap.debug = True
if __name__ == '__main__':
test.main()