forked from M-Labs/artiq
compiler.analyses.domination: fix PostDominatorTree.
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@ -10,63 +10,21 @@ class GenericDominatorTree:
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self._assign_names()
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self._compute()
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def _start_blocks(self):
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"""
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Returns a starting collection of basic blocks (entry block
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for dominator tree and exit blocks for postdominator tree).
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"""
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def _traverse_in_postorder(self):
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raise NotImplementedError
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def _next_blocks(self, block):
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"""
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Returns the collection of blocks to be traversed after `block`
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(successors for dominator tree and predecessors for postdominator
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tree).
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"""
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raise NotImplementedError
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def _prev_blocks(self, block):
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"""
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Returns the collection of blocks to be traversed before `block`
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(predecessors for dominator tree and successors for postdominator
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tree).
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"""
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def _prev_block_names(self, block):
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raise NotImplementedError
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def _assign_names(self):
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"""Assigns names to basic blocks in postorder."""
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visited = set()
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postorder = []
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postorder = self._traverse_in_postorder()
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def visit(block):
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visited.add(block)
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for next_block in self._next_blocks(block):
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if next_block not in visited:
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visit(next_block)
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postorder.append(block)
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for block in self._start_blocks():
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visit(block)
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self._last_name = len(postorder)
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self._start_name = len(postorder) - 1
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self._block_of_name = postorder
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self._name_of_block = {}
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for block_name, block in enumerate(postorder):
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# print("name", block_name + 1, block.name)
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self._name_of_block[block] = block_name
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def _start_block_names(self):
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for block in self._start_blocks():
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yield self._name_of_block[block]
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def _next_block_names(self, block_name):
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for block in self._next_blocks(self._block_of_name[block_name]):
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yield self._name_of_block[block]
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def _prev_block_names(self, block_name):
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for block in self._prev_blocks(self._block_of_name[block_name]):
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yield self._name_of_block[block]
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def _intersect(self, block_name_1, block_name_2):
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finger_1, finger_2 = block_name_1, block_name_2
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while finger_1 != finger_2:
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@ -79,23 +37,23 @@ class GenericDominatorTree:
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def _compute(self):
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self._doms = {}
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for block_name in range(self._last_name):
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self._doms[block_name] = None
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# Start block dominates itself.
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self._doms[self._start_name] = self._start_name
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start_block_names = set()
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for block_name in self._start_block_names():
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self._doms[block_name] = block_name
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start_block_names.add(block_name)
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# We don't yet know what blocks dominate all other blocks.
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for block_name in range(self._start_name):
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self._doms[block_name] = None
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changed = True
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while changed:
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# print("doms", {k+1: self._doms[k]+1 if self._doms[k] is not None else None for k in self._doms})
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changed = False
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for block_name in reversed(range(self._last_name)):
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if block_name in start_block_names:
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continue
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# For all blocks except start block, in reverse postorder...
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for block_name in reversed(range(self._start_name)):
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# Select a new immediate dominator from the blocks we have
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# already processed, and remember all others.
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# We've already processed at least one previous block because
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# of the graph traverse order.
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new_idom, prev_block_names = None, []
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for prev_block_name in self._prev_block_names(block_name):
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if new_idom is None and self._doms[prev_block_name] is not None:
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@ -103,12 +61,10 @@ class GenericDominatorTree:
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else:
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prev_block_names.append(prev_block_name)
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# print("block_name", block_name + 1, "new_idom", new_idom + 1)
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# Find a common previous block
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for prev_block_name in prev_block_names:
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# print("prev_block_name", prev_block_name + 1)
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if self._doms[prev_block_name] is not None:
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new_idom = self._intersect(prev_block_name, new_idom)
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# print("new_idom+", new_idom + 1)
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if self._doms[block_name] != new_idom:
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self._doms[block_name] = new_idom
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@ -130,26 +86,52 @@ class DominatorTree(GenericDominatorTree):
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self.function = function
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super().__init__()
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def _start_blocks(self):
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return [self.function.entry()]
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def _traverse_in_postorder(self):
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postorder = []
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def _next_blocks(self, block):
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return block.successors()
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visited = set()
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def visit(block):
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visited.add(block)
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for next_block in block.successors():
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if next_block not in visited:
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visit(next_block)
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postorder.append(block)
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def _prev_blocks(self, block):
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return block.predecessors()
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visit(self.function.entry())
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return postorder
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def _prev_block_names(self, block_name):
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for block in self._block_of_name[block_name].predecessors():
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yield self._name_of_block[block]
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class PostDominatorTree(GenericDominatorTree):
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def __init__(self, function):
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self.function = function
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super().__init__()
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def _start_blocks(self):
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return [block for block in self.function.basic_blocks
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if none(block.successors())]
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def _traverse_in_postorder(self):
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postorder = []
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def _next_blocks(self, block):
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return block.predecessors()
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visited = set()
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def visit(block):
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visited.add(block)
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for next_block in block.predecessors():
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if next_block not in visited:
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visit(next_block)
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postorder.append(block)
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def _prev_blocks(self, block):
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return block.successors()
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for block in self.function.basic_blocks:
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if not any(block.successors()):
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visit(block)
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postorder.append(None) # virtual exit block
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return postorder
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def _prev_block_names(self, block_name):
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succ_blocks = self._block_of_name[block_name].successors()
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if len(succ_blocks) > 0:
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for block in succ_blocks:
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yield self._name_of_block[block]
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else:
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yield self._start_name
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@ -44,7 +44,8 @@ def dom(function, domtree):
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def idom(function, domtree):
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idom = {}
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for block in function.basic_blocks:
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idom[block.name] = domtree.immediate_dominator(block).name
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idom_block = domtree.immediate_dominator(block)
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idom[block.name] = idom_block.name if idom_block else None
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return idom
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class TestDominatorTree(unittest.TestCase):
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@ -113,3 +114,53 @@ class TestDominatorTree(unittest.TestCase):
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self.assertEqual({
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1: 6, 2: 6, 3: 6, 4: 6, 5: 6, 6: 6
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}, idom(func, domtree))
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class TestPostDominatorTree(unittest.TestCase):
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def test_linear(self):
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func = makefn('A', {
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'A': ['B'],
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'B': ['C'],
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'C': []
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})
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domtree = PostDominatorTree(func)
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self.assertEqual({
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'A': 'B', 'B': 'C', 'C': None
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}, idom(func, domtree))
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def test_diamond(self):
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func = makefn('A', {
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'A': ['B', 'D'],
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'B': ['C'],
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'C': ['E'],
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'D': ['E'],
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'E': []
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})
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domtree = PostDominatorTree(func)
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self.assertEqual({
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'E': None, 'D': 'E', 'C': 'E', 'B': 'C', 'A': 'E'
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}, idom(func, domtree))
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def test_multi_exit(self):
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func = makefn('A', {
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'A': ['B', 'C'],
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'B': [],
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'C': []
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})
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domtree = PostDominatorTree(func)
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self.assertEqual({
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'A': None, 'B': None, 'C': None
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}, idom(func, domtree))
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def test_multi_exit_diamond(self):
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func = makefn('A', {
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'A': ['B', 'C'],
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'B': ['D'],
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'C': ['D'],
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'D': ['E', 'F'],
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'E': [],
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'F': []
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})
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domtree = PostDominatorTree(func)
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self.assertEqual({
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'A': 'D', 'B': 'D', 'C': 'D', 'D': None, 'E': None, 'F': None
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}, idom(func, domtree))
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