565 lines
19 KiB
Python
565 lines
19 KiB
Python
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"""Data-flow analyses."""
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from abc import abstractmethod
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from typing import Dict, Tuple, List, Set, TypeVar, Iterator, Generic, Optional, Iterable, Union
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from mypyc.ir.ops import (
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Value, ControlOp,
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BasicBlock, OpVisitor, Assign, AssignMulti, Integer, LoadErrorValue, RegisterOp, Goto, Branch,
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Return, Call, Box, Unbox, Cast, Op, Unreachable, TupleGet, TupleSet, GetAttr, SetAttr,
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LoadLiteral, LoadStatic, InitStatic, MethodCall, RaiseStandardError, CallC, LoadGlobal,
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Truncate, IntOp, LoadMem, GetElementPtr, LoadAddress, ComparisonOp, SetMem, KeepAlive, Extend
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)
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from mypyc.ir.func_ir import all_values
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class CFG:
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"""Control-flow graph.
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Node 0 is always assumed to be the entry point. There must be a
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non-empty set of exits.
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"""
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def __init__(self,
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succ: Dict[BasicBlock, List[BasicBlock]],
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pred: Dict[BasicBlock, List[BasicBlock]],
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exits: Set[BasicBlock]) -> None:
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assert exits
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self.succ = succ
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self.pred = pred
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self.exits = exits
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def __str__(self) -> str:
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lines = []
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lines.append('exits: %s' % sorted(self.exits, key=lambda e: e.label))
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lines.append('succ: %s' % self.succ)
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lines.append('pred: %s' % self.pred)
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return '\n'.join(lines)
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def get_cfg(blocks: List[BasicBlock]) -> CFG:
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"""Calculate basic block control-flow graph.
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The result is a dictionary like this:
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basic block index -> (successors blocks, predecesssor blocks)
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"""
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succ_map = {}
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pred_map: Dict[BasicBlock, List[BasicBlock]] = {}
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exits = set()
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for block in blocks:
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assert not any(isinstance(op, ControlOp) for op in block.ops[:-1]), (
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"Control-flow ops must be at the end of blocks")
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succ = list(block.terminator.targets())
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if not succ:
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exits.add(block)
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# Errors can occur anywhere inside a block, which means that
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# we can't assume that the entire block has executed before
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# jumping to the error handler. In our CFG construction, we
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# model this as saying that a block can jump to its error
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# handler or the error handlers of any of its normal
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# successors (to represent an error before that next block
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# completes). This works well for analyses like "must
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# defined", where it implies that registers assigned in a
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# block may be undefined in its error handler, but is in
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# general not a precise representation of reality; any
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# analyses that require more fidelity must wait until after
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# exception insertion.
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for error_point in [block] + succ:
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if error_point.error_handler:
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succ.append(error_point.error_handler)
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succ_map[block] = succ
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pred_map[block] = []
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for prev, nxt in succ_map.items():
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for label in nxt:
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pred_map[label].append(prev)
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return CFG(succ_map, pred_map, exits)
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def get_real_target(label: BasicBlock) -> BasicBlock:
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if len(label.ops) == 1 and isinstance(label.ops[-1], Goto):
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label = label.ops[-1].label
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return label
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def cleanup_cfg(blocks: List[BasicBlock]) -> None:
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"""Cleanup the control flow graph.
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This eliminates obviously dead basic blocks and eliminates blocks that contain
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nothing but a single jump.
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There is a lot more that could be done.
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"""
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changed = True
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while changed:
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# First collapse any jumps to basic block that only contain a goto
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for block in blocks:
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for i, tgt in enumerate(block.terminator.targets()):
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block.terminator.set_target(i, get_real_target(tgt))
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# Then delete any blocks that have no predecessors
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changed = False
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cfg = get_cfg(blocks)
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orig_blocks = blocks[:]
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blocks.clear()
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for i, block in enumerate(orig_blocks):
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if i == 0 or cfg.pred[block]:
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blocks.append(block)
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else:
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changed = True
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T = TypeVar('T')
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AnalysisDict = Dict[Tuple[BasicBlock, int], Set[T]]
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class AnalysisResult(Generic[T]):
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def __init__(self, before: 'AnalysisDict[T]', after: 'AnalysisDict[T]') -> None:
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self.before = before
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self.after = after
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def __str__(self) -> str:
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return f'before: {self.before}\nafter: {self.after}\n'
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GenAndKill = Tuple[Set[T], Set[T]]
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class BaseAnalysisVisitor(OpVisitor[GenAndKill[T]]):
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def visit_goto(self, op: Goto) -> GenAndKill[T]:
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return set(), set()
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@abstractmethod
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def visit_register_op(self, op: RegisterOp) -> GenAndKill[T]:
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raise NotImplementedError
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@abstractmethod
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def visit_assign(self, op: Assign) -> GenAndKill[T]:
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raise NotImplementedError
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@abstractmethod
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def visit_assign_multi(self, op: AssignMulti) -> GenAndKill[T]:
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raise NotImplementedError
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@abstractmethod
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def visit_set_mem(self, op: SetMem) -> GenAndKill[T]:
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raise NotImplementedError
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def visit_call(self, op: Call) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_method_call(self, op: MethodCall) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_load_error_value(self, op: LoadErrorValue) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_load_literal(self, op: LoadLiteral) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_get_attr(self, op: GetAttr) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_set_attr(self, op: SetAttr) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_load_static(self, op: LoadStatic) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_init_static(self, op: InitStatic) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_tuple_get(self, op: TupleGet) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_tuple_set(self, op: TupleSet) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_box(self, op: Box) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_unbox(self, op: Unbox) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_cast(self, op: Cast) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_raise_standard_error(self, op: RaiseStandardError) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_call_c(self, op: CallC) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_truncate(self, op: Truncate) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_extend(self, op: Extend) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_load_global(self, op: LoadGlobal) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_int_op(self, op: IntOp) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_comparison_op(self, op: ComparisonOp) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_load_mem(self, op: LoadMem) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_get_element_ptr(self, op: GetElementPtr) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_load_address(self, op: LoadAddress) -> GenAndKill[T]:
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return self.visit_register_op(op)
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def visit_keep_alive(self, op: KeepAlive) -> GenAndKill[T]:
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return self.visit_register_op(op)
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class DefinedVisitor(BaseAnalysisVisitor[Value]):
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"""Visitor for finding defined registers.
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Note that this only deals with registers and not temporaries, on
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the assumption that we never access temporaries when they might be
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undefined.
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If strict_errors is True, then we regard any use of LoadErrorValue
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as making a register undefined. Otherwise we only do if
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`undefines` is set on the error value.
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This lets us only consider the things we care about during
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uninitialized variable checking while capturing all possibly
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undefined things for refcounting.
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"""
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def __init__(self, strict_errors: bool = False) -> None:
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self.strict_errors = strict_errors
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def visit_branch(self, op: Branch) -> GenAndKill[Value]:
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return set(), set()
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def visit_return(self, op: Return) -> GenAndKill[Value]:
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return set(), set()
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def visit_unreachable(self, op: Unreachable) -> GenAndKill[Value]:
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return set(), set()
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def visit_register_op(self, op: RegisterOp) -> GenAndKill[Value]:
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return set(), set()
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def visit_assign(self, op: Assign) -> GenAndKill[Value]:
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# Loading an error value may undefine the register.
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if (isinstance(op.src, LoadErrorValue)
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and (op.src.undefines or self.strict_errors)):
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return set(), {op.dest}
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else:
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return {op.dest}, set()
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def visit_assign_multi(self, op: AssignMulti) -> GenAndKill[Value]:
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# Array registers are special and we don't track the definedness of them.
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return set(), set()
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def visit_set_mem(self, op: SetMem) -> GenAndKill[Value]:
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return set(), set()
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def analyze_maybe_defined_regs(blocks: List[BasicBlock],
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cfg: CFG,
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initial_defined: Set[Value]) -> AnalysisResult[Value]:
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"""Calculate potentially defined registers at each CFG location.
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A register is defined if it has a value along some path from the initial location.
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"""
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return run_analysis(blocks=blocks,
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cfg=cfg,
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gen_and_kill=DefinedVisitor(),
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initial=initial_defined,
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backward=False,
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kind=MAYBE_ANALYSIS)
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def analyze_must_defined_regs(
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blocks: List[BasicBlock],
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cfg: CFG,
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initial_defined: Set[Value],
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regs: Iterable[Value],
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strict_errors: bool = False) -> AnalysisResult[Value]:
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"""Calculate always defined registers at each CFG location.
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This analysis can work before exception insertion, since it is a
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sound assumption that registers defined in a block might not be
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initialized in its error handler.
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A register is defined if it has a value along all paths from the
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initial location.
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"""
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return run_analysis(blocks=blocks,
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cfg=cfg,
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gen_and_kill=DefinedVisitor(strict_errors=strict_errors),
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initial=initial_defined,
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backward=False,
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kind=MUST_ANALYSIS,
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universe=set(regs))
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class BorrowedArgumentsVisitor(BaseAnalysisVisitor[Value]):
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def __init__(self, args: Set[Value]) -> None:
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self.args = args
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def visit_branch(self, op: Branch) -> GenAndKill[Value]:
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return set(), set()
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def visit_return(self, op: Return) -> GenAndKill[Value]:
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return set(), set()
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def visit_unreachable(self, op: Unreachable) -> GenAndKill[Value]:
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return set(), set()
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def visit_register_op(self, op: RegisterOp) -> GenAndKill[Value]:
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return set(), set()
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def visit_assign(self, op: Assign) -> GenAndKill[Value]:
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if op.dest in self.args:
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return set(), {op.dest}
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return set(), set()
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def visit_assign_multi(self, op: AssignMulti) -> GenAndKill[Value]:
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return set(), set()
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def visit_set_mem(self, op: SetMem) -> GenAndKill[Value]:
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return set(), set()
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def analyze_borrowed_arguments(
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blocks: List[BasicBlock],
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cfg: CFG,
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borrowed: Set[Value]) -> AnalysisResult[Value]:
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"""Calculate arguments that can use references borrowed from the caller.
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When assigning to an argument, it no longer is borrowed.
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"""
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return run_analysis(blocks=blocks,
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cfg=cfg,
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gen_and_kill=BorrowedArgumentsVisitor(borrowed),
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initial=borrowed,
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backward=False,
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kind=MUST_ANALYSIS,
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universe=borrowed)
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class UndefinedVisitor(BaseAnalysisVisitor[Value]):
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def visit_branch(self, op: Branch) -> GenAndKill[Value]:
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return set(), set()
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def visit_return(self, op: Return) -> GenAndKill[Value]:
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return set(), set()
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def visit_unreachable(self, op: Unreachable) -> GenAndKill[Value]:
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return set(), set()
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def visit_register_op(self, op: RegisterOp) -> GenAndKill[Value]:
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return set(), {op} if not op.is_void else set()
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def visit_assign(self, op: Assign) -> GenAndKill[Value]:
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return set(), {op.dest}
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def visit_assign_multi(self, op: AssignMulti) -> GenAndKill[Value]:
|
||
|
|
return set(), {op.dest}
|
||
|
|
|
||
|
|
def visit_set_mem(self, op: SetMem) -> GenAndKill[Value]:
|
||
|
|
return set(), set()
|
||
|
|
|
||
|
|
|
||
|
|
def analyze_undefined_regs(blocks: List[BasicBlock],
|
||
|
|
cfg: CFG,
|
||
|
|
initial_defined: Set[Value]) -> AnalysisResult[Value]:
|
||
|
|
"""Calculate potentially undefined registers at each CFG location.
|
||
|
|
|
||
|
|
A register is undefined if there is some path from initial block
|
||
|
|
where it has an undefined value.
|
||
|
|
|
||
|
|
Function arguments are assumed to be always defined.
|
||
|
|
"""
|
||
|
|
initial_undefined = set(all_values([], blocks)) - initial_defined
|
||
|
|
return run_analysis(blocks=blocks,
|
||
|
|
cfg=cfg,
|
||
|
|
gen_and_kill=UndefinedVisitor(),
|
||
|
|
initial=initial_undefined,
|
||
|
|
backward=False,
|
||
|
|
kind=MAYBE_ANALYSIS)
|
||
|
|
|
||
|
|
|
||
|
|
def non_trivial_sources(op: Op) -> Set[Value]:
|
||
|
|
result = set()
|
||
|
|
for source in op.sources():
|
||
|
|
if not isinstance(source, Integer):
|
||
|
|
result.add(source)
|
||
|
|
return result
|
||
|
|
|
||
|
|
|
||
|
|
class LivenessVisitor(BaseAnalysisVisitor[Value]):
|
||
|
|
def visit_branch(self, op: Branch) -> GenAndKill[Value]:
|
||
|
|
return non_trivial_sources(op), set()
|
||
|
|
|
||
|
|
def visit_return(self, op: Return) -> GenAndKill[Value]:
|
||
|
|
if not isinstance(op.value, Integer):
|
||
|
|
return {op.value}, set()
|
||
|
|
else:
|
||
|
|
return set(), set()
|
||
|
|
|
||
|
|
def visit_unreachable(self, op: Unreachable) -> GenAndKill[Value]:
|
||
|
|
return set(), set()
|
||
|
|
|
||
|
|
def visit_register_op(self, op: RegisterOp) -> GenAndKill[Value]:
|
||
|
|
gen = non_trivial_sources(op)
|
||
|
|
if not op.is_void:
|
||
|
|
return gen, {op}
|
||
|
|
else:
|
||
|
|
return gen, set()
|
||
|
|
|
||
|
|
def visit_assign(self, op: Assign) -> GenAndKill[Value]:
|
||
|
|
return non_trivial_sources(op), {op.dest}
|
||
|
|
|
||
|
|
def visit_assign_multi(self, op: AssignMulti) -> GenAndKill[Value]:
|
||
|
|
return non_trivial_sources(op), {op.dest}
|
||
|
|
|
||
|
|
def visit_set_mem(self, op: SetMem) -> GenAndKill[Value]:
|
||
|
|
return non_trivial_sources(op), set()
|
||
|
|
|
||
|
|
|
||
|
|
def analyze_live_regs(blocks: List[BasicBlock],
|
||
|
|
cfg: CFG) -> AnalysisResult[Value]:
|
||
|
|
"""Calculate live registers at each CFG location.
|
||
|
|
|
||
|
|
A register is live at a location if it can be read along some CFG path starting
|
||
|
|
from the location.
|
||
|
|
"""
|
||
|
|
return run_analysis(blocks=blocks,
|
||
|
|
cfg=cfg,
|
||
|
|
gen_and_kill=LivenessVisitor(),
|
||
|
|
initial=set(),
|
||
|
|
backward=True,
|
||
|
|
kind=MAYBE_ANALYSIS)
|
||
|
|
|
||
|
|
|
||
|
|
# Analysis kinds
|
||
|
|
MUST_ANALYSIS = 0
|
||
|
|
MAYBE_ANALYSIS = 1
|
||
|
|
|
||
|
|
|
||
|
|
def run_analysis(blocks: List[BasicBlock],
|
||
|
|
cfg: CFG,
|
||
|
|
gen_and_kill: OpVisitor[GenAndKill[T]],
|
||
|
|
initial: Set[T],
|
||
|
|
kind: int,
|
||
|
|
backward: bool,
|
||
|
|
universe: Optional[Set[T]] = None) -> AnalysisResult[T]:
|
||
|
|
"""Run a general set-based data flow analysis.
|
||
|
|
|
||
|
|
Args:
|
||
|
|
blocks: All basic blocks
|
||
|
|
cfg: Control-flow graph for the code
|
||
|
|
gen_and_kill: Implementation of gen and kill functions for each op
|
||
|
|
initial: Value of analysis for the entry points (for a forward analysis) or the
|
||
|
|
exit points (for a backward analysis)
|
||
|
|
kind: MUST_ANALYSIS or MAYBE_ANALYSIS
|
||
|
|
backward: If False, the analysis is a forward analysis; it's backward otherwise
|
||
|
|
universe: For a must analysis, the set of all possible values. This is the starting
|
||
|
|
value for the work list algorithm, which will narrow this down until reaching a
|
||
|
|
fixed point. For a maybe analysis the iteration always starts from an empty set
|
||
|
|
and this argument is ignored.
|
||
|
|
|
||
|
|
Return analysis results: (before, after)
|
||
|
|
"""
|
||
|
|
block_gen = {}
|
||
|
|
block_kill = {}
|
||
|
|
|
||
|
|
# Calculate kill and gen sets for entire basic blocks.
|
||
|
|
for block in blocks:
|
||
|
|
gen: Set[T] = set()
|
||
|
|
kill: Set[T] = set()
|
||
|
|
ops = block.ops
|
||
|
|
if backward:
|
||
|
|
ops = list(reversed(ops))
|
||
|
|
for op in ops:
|
||
|
|
opgen, opkill = op.accept(gen_and_kill)
|
||
|
|
gen = ((gen - opkill) | opgen)
|
||
|
|
kill = ((kill - opgen) | opkill)
|
||
|
|
block_gen[block] = gen
|
||
|
|
block_kill[block] = kill
|
||
|
|
|
||
|
|
# Set up initial state for worklist algorithm.
|
||
|
|
worklist = list(blocks)
|
||
|
|
if not backward:
|
||
|
|
worklist = worklist[::-1] # Reverse for a small performance improvement
|
||
|
|
workset = set(worklist)
|
||
|
|
before: Dict[BasicBlock, Set[T]] = {}
|
||
|
|
after: Dict[BasicBlock, Set[T]] = {}
|
||
|
|
for block in blocks:
|
||
|
|
if kind == MAYBE_ANALYSIS:
|
||
|
|
before[block] = set()
|
||
|
|
after[block] = set()
|
||
|
|
else:
|
||
|
|
assert universe is not None, "Universe must be defined for a must analysis"
|
||
|
|
before[block] = set(universe)
|
||
|
|
after[block] = set(universe)
|
||
|
|
|
||
|
|
if backward:
|
||
|
|
pred_map = cfg.succ
|
||
|
|
succ_map = cfg.pred
|
||
|
|
else:
|
||
|
|
pred_map = cfg.pred
|
||
|
|
succ_map = cfg.succ
|
||
|
|
|
||
|
|
# Run work list algorithm to generate in and out sets for each basic block.
|
||
|
|
while worklist:
|
||
|
|
label = worklist.pop()
|
||
|
|
workset.remove(label)
|
||
|
|
if pred_map[label]:
|
||
|
|
new_before: Union[Set[T], None] = None
|
||
|
|
for pred in pred_map[label]:
|
||
|
|
if new_before is None:
|
||
|
|
new_before = set(after[pred])
|
||
|
|
elif kind == MAYBE_ANALYSIS:
|
||
|
|
new_before |= after[pred]
|
||
|
|
else:
|
||
|
|
new_before &= after[pred]
|
||
|
|
assert new_before is not None
|
||
|
|
else:
|
||
|
|
new_before = set(initial)
|
||
|
|
before[label] = new_before
|
||
|
|
new_after = (new_before - block_kill[label]) | block_gen[label]
|
||
|
|
if new_after != after[label]:
|
||
|
|
for succ in succ_map[label]:
|
||
|
|
if succ not in workset:
|
||
|
|
worklist.append(succ)
|
||
|
|
workset.add(succ)
|
||
|
|
after[label] = new_after
|
||
|
|
|
||
|
|
# Run algorithm for each basic block to generate opcode-level sets.
|
||
|
|
op_before: Dict[Tuple[BasicBlock, int], Set[T]] = {}
|
||
|
|
op_after: Dict[Tuple[BasicBlock, int], Set[T]] = {}
|
||
|
|
for block in blocks:
|
||
|
|
label = block
|
||
|
|
cur = before[label]
|
||
|
|
ops_enum: Iterator[Tuple[int, Op]] = enumerate(block.ops)
|
||
|
|
if backward:
|
||
|
|
ops_enum = reversed(list(ops_enum))
|
||
|
|
for idx, op in ops_enum:
|
||
|
|
op_before[label, idx] = cur
|
||
|
|
opgen, opkill = op.accept(gen_and_kill)
|
||
|
|
cur = (cur - opkill) | opgen
|
||
|
|
op_after[label, idx] = cur
|
||
|
|
if backward:
|
||
|
|
op_after, op_before = op_before, op_after
|
||
|
|
|
||
|
|
return AnalysisResult(op_before, op_after)
|