def default_n_vc (p, n): head = p.loop_id (n) general = [(n2, rep_graph.vc_options ([0], [1])) for n2 in p.loop_heads () if n2 != head] specific = [(head, rep_graph.vc_offs (1)) for _ in [1] if head] return (n, tuple (general + specific))
def default_n_vc_cases(p, n):
head = p.loop_id(n)
general = [(n2, rep_graph.vc_options([0], [1])) for n2 in p.loop_heads()
if n2 != head]
if head:
return [(n, tuple(general + [(head, rep_graph.vc_num(1))])),
(n, tuple(general + [(head, rep_graph.vc_offs(1))]))]
specific = [(head, rep_graph.vc_offs(1)) for _ in [1] if head]
return [(n, tuple(general + specific))]
def build_proof_rec_with_restrs (split_points, kind, searcher, p, restrs,
hyps, must_find = True, name = "problem"):
if not split_points:
return build_proof_rec (searcher, p, restrs, hyps, name = name)
sp = split_points[0]
use_hyps = list (hyps)
if p.node_tags[sp][0] != p.pairing.tags[1]:
nrerr_hyp = check.non_r_err_pc_hyp (p.pairing.tags,
restr_others (p, restrs, 2))
use_hyps = use_hyps + [nrerr_hyp]
if p.loop_id (sp):
lim_pair = get_proof_split_limit (p, sp, restrs, use_hyps,
kind, must_find = must_find)
else:
lim_pair = get_proof_visit_restr (p, sp, restrs, use_hyps,
kind, must_find = must_find)
if not lim_pair:
assert not must_find
return build_proof_rec_with_restrs (split_points[1:],
kind, searcher, p, restrs, hyps, must_find = must_find,
name = name)
(min_v, max_v) = lim_pair
if kind == 'Number':
vc_opts = rep_graph.vc_options (range (min_v, max_v), [])
else:
vc_opts = rep_graph.vc_options ([], range (min_v, max_v))
restrs = restrs + ((sp, vc_opts), )
subproof = build_proof_rec_with_restrs (split_points[1:],
kind, searcher, p, restrs, hyps, must_find = must_find,
name = name)
return ProofNode ('Restr', (sp, (kind, (min_v, max_v))), [subproof])
def add_loop_bound_restrs_hyps(p, restrs, hyps, split, bound, ctxt):
# time this for diagnostic reasons
start = time.time()
# vc_options([concrete numbers], [offsets])
hyps = hyps + get_linear_series_hyps(p, split, restrs, hyps)
hyps = list(set(hyps))
if bound == None or bound >= 10:
restrs = restrs + ((split, rep_graph.vc_options([0], [1])),)
else:
restrs = restrs + ((split, rep_graph.vc_upto(bound + 1)),)
end = time.time()
save_extra_timing("LoopBoundRestrHyps", ctxt, end - start)
return (restrs, hyps)
def add_loop_bound_restrs_hyps(p, restrs, hyps, split, bound, ctxt):
# time this for diagnostic reasons
start = time.time()
#vc_options([concrete numbers], [offsets])
hyps = hyps + get_linear_series_hyps(p, split, restrs, hyps)
hyps = list(set(hyps))
if bound == None or bound >= 10:
restrs = restrs + ((split, rep_graph.vc_options([0], [1])), )
else:
restrs = restrs + ((split, rep_graph.vc_upto(bound + 1)), )
end = time.time()
save_extra_timing('LoopBoundRestrHyps', ctxt, end - start)
return (restrs, hyps)
def build_compound_problem (fnames):
"""mirrors build_problem from check for multiple functions"""
printout ('Building compound problem for %s' % fnames)
last_compound_problem_req[0] = list (fnames)
p = problem.Problem (None, name = ', '.join(fnames))
fun_tag_pairs = []
all_tags = {}
for (i, fn) in enumerate (fnames):
i = len (fnames) - i
[pair] = pairings[fn]
next_tags = {}
scripts = get_problem_inline_scripts (pair)
for (pair_tag, fname) in pair.funs.items ():
tag = '%s_%d_%s' % (fname, i, pair_tag)
tag = syntax.fresh_name (tag, all_tags)
next_tags[pair_tag] = tag
p.add_entry_function (functions[fname], tag)
p.hook_tag_hints[tag] = pair_tag
p.replay_inline_script (tag, scripts[pair_tag])
fun_tag_pairs.append ((next_tags, pair))
p.pad_merge_points ()
p.do_analysis ()
free_hyps = []
for (tags, pair) in fun_tag_pairs:
(inp_eqs, _) = pair.eqs
free_hyps += check.inst_eqs (p, (), inp_eqs, tags)
err_vis_opts = rep_graph.vc_options ([0, 1, 2], [1])
err_vis_vc = tuple ([(n, err_vis_opts) for n in p.loop_heads ()
if p.node_tags[n][0] == tags['C']])
err_vis = (('Err', err_vis_vc), tags['C'])
free_hyps.append (rep_graph.pc_false_hyp (err_vis))
addr_map = {}
for n in p.nodes:
if not p.node_tags[n][0].endswith ('_ASM'):
continue
if type (p.node_tags[n][1]) == tuple:
(fname, data) = p.node_tags[n][1]
if (logic.is_int (data) and is_addr (data)
and not fname.startswith ("instruction'")):
assert data not in addr_map, data
addr_map[data] = n
return (p, free_hyps, addr_map, fun_tag_pairs)
def build_compound_problem(fnames):
"""mirrors build_problem from check for multiple functions"""
printout('Building compound problem for %s' % fnames)
last_compound_problem_req[0] = list(fnames)
p = problem.Problem(None, name=', '.join(fnames))
fun_tag_pairs = []
all_tags = {}
for (i, fn) in enumerate(fnames):
i = len(fnames) - i
[pair] = pairings[fn]
next_tags = {}
scripts = get_problem_inline_scripts(pair)
for (pair_tag, fname) in pair.funs.items():
tag = '%s_%d_%s' % (fname, i, pair_tag)
tag = syntax.fresh_name(tag, all_tags)
next_tags[pair_tag] = tag
p.add_entry_function(functions[fname], tag)
p.hook_tag_hints[tag] = pair_tag
p.replay_inline_script(tag, scripts[pair_tag])
fun_tag_pairs.append((next_tags, pair))
p.pad_merge_points()
p.do_analysis()
free_hyps = []
for (tags, pair) in fun_tag_pairs:
(inp_eqs, _) = pair.eqs
free_hyps += check.inst_eqs(p, (), inp_eqs, tags)
err_vis_opts = rep_graph.vc_options([0, 1, 2], [1])
err_vis_vc = tuple([(n, err_vis_opts) for n in p.loop_heads()
if p.node_tags[n][0] == tags['C']])
err_vis = (('Err', err_vis_vc), tags['C'])
free_hyps.append(rep_graph.pc_false_hyp(err_vis))
addr_map = {}
for n in p.nodes:
if not p.node_tags[n][0].endswith('_ASM'):
continue
if type(p.node_tags[n][1]) == tuple:
(fname, data) = p.node_tags[n][1]
if (logic.is_int(data) and is_addr(data)
and not fname.startswith("instruction'")):
assert data not in addr_map, data
addr_map[data] = n
return (p, free_hyps, addr_map, fun_tag_pairs)
def findLoopBoundBS(p_n, p, restrs=None, hyps=None, try_seq=None):
if hyps == None:
hyps = []
# print 'restrs: %s' % str(restrs)
if try_seq == None:
# bound_try_seq = [1,2,3,4,5,10,50,130,200,260]
# bound_try_seq = [0,1,2,3,4,5,10,50,260]
calls = [n for n in p.loop_body(p_n) if p.nodes[n].kind == "Call"]
if calls:
bound_try_seq = [0, 1, 20]
else:
bound_try_seq = [0, 1, 20, 34]
else:
bound_try_seq = try_seq
rep = mk_graph_slice(p, fast=True)
# get the head
# print 'Binary addr: %s' % toHexs(self.toPhyAddrs(p_loop_heads))
loop_bound = None
p_loop_heads = [n for n in p.loop_data if p.loop_data[n][0] == "Head"]
print "p_loop_heads: %s" % p_loop_heads
if restrs == None:
others = [x for x in p_loop_heads if not x == p_n]
# vc_options([concrete numbers], [offsets])
restrs = tuple([(n2, rep_graph.vc_options([0], [1])) for n2 in others])
print "getting the initial bound"
# try:
index = tryLoopBound(p_n, p, bound_try_seq, rep, restrs=restrs, hyps=hyps)
if index == -1:
return None
print "got the initial bound %d" % bound_try_seq[index]
# do a downward binary search to find the concrete loop bound
if index == 0:
loop_bound = bound_try_seq[0]
print "bound = %d" % loop_bound
return loop_bound
loop_bound = downBinSearch(
bound_try_seq[index - 1],
bound_try_seq[index],
lambda x: tryLoopBound(p_n, p, [x], rep, restrs=restrs, hyps=hyps, bin_return=True),
)
print "bound = %d" % loop_bound
return loop_bound
def findLoopBoundBS(p_n, p, restrs=None, hyps=None, try_seq=None):
if hyps == None:
hyps = []
#print 'restrs: %s' % str(restrs)
if try_seq == None:
#bound_try_seq = [1,2,3,4,5,10,50,130,200,260]
#bound_try_seq = [0,1,2,3,4,5,10,50,260]
calls = [n for n in p.loop_body(p_n) if p.nodes[n].kind == 'Call']
if calls:
bound_try_seq = [0, 1, 20]
else:
bound_try_seq = [0, 1, 20, 34]
else:
bound_try_seq = try_seq
rep = mk_graph_slice(p, fast=True)
#get the head
#print 'Binary addr: %s' % toHexs(self.toPhyAddrs(p_loop_heads))
loop_bound = None
p_loop_heads = [n for n in p.loop_data if p.loop_data[n][0] == 'Head']
print 'p_loop_heads: %s' % p_loop_heads
if restrs == None:
others = [x for x in p_loop_heads if not x == p_n]
#vc_options([concrete numbers], [offsets])
restrs = tuple([(n2, rep_graph.vc_options([0], [1])) for n2 in others])
print 'getting the initial bound'
#try:
index = tryLoopBound(p_n, p, bound_try_seq, rep, restrs=restrs, hyps=hyps)
if index == -1:
return None
print 'got the initial bound %d' % bound_try_seq[index]
#do a downward binary search to find the concrete loop bound
if index == 0:
loop_bound = bound_try_seq[0]
print 'bound = %d' % loop_bound
return loop_bound
loop_bound = downBinSearch(
bound_try_seq[index - 1], bound_try_seq[index], lambda x: tryLoopBound(
p_n, p, [x], rep, restrs=restrs, hyps=hyps, bin_return=True))
print 'bound = %d' % loop_bound
return loop_bound