A program is in Loop Closed SSA Form if it is in SSA form
and all values that are defined in a loop are used only inside
this loop.
+
Programs written in LLVM IR are always in SSA form but not necessarily
-in LCSSA. To achieve the latter, single entry PHI nodes are inserted
-at the end of the loops for all values that are live
-across the loop boundary [#lcssa-construction]_.
+in LCSSA. To achieve the latter, for each value that is live across the
+loop boundary, single entry PHI nodes are inserted to each of the exit blocks
+[#lcssa-construction]_ in order to "close" these values inside the loop.
In particular, consider the following loop:
.. code-block:: C
After the loop optimizations are done, these extra phi nodes
will be deleted by :ref:`-instcombine <passes-instcombine>`.
-The major benefit of this transformation is that it makes many other
-loop optimizations simpler.
+Note that an exit block is outside of a loop, so how can such a phi "close"
+the value inside the loop since it uses it outside of it ? First of all,
+for phi nodes, as
+`mentioned in the LangRef <https://llvm.org/docs/LangRef.html#id311>`_:
+"the use of each incoming value is deemed to occur on the edge from the
+corresponding predecessor block to the current block". Now, an
+edge to an exit block is considered outside of the loop because
+if we take that edge, it leads us clearly out of the loop.
+
+However, an edge doesn't actually contain any IR, so in source code,
+we have to choose a convention of whether the use happens in
+the current block or in the respective predecessor. For LCSSA's purpose,
+we consider the use happens in the latter (so as to consider the
+use inside) [#point-of-use-phis]_.
+
+The major benefit of LCSSA is that it makes many other loop optimizations
+simpler.
First of all, a simple observation is that if one needs to see all
the outside users, they can just iterate over all the (loop closing)
.. [#lcssa-construction] To insert these loop-closing PHI nodes, one has to
(re-)compute dominance frontiers (if the loop has multiple exits).
+.. [#point-of-use-phis] Considering the point of use of a PHI entry value
+ to be in the respective predecessor is a convention across the whole LLVM.
+ The reason is mostly practical; for example it preserves the dominance
+ property of SSA. It is also just an overapproximation of the actual
+ number of uses; the incoming block could branch to another block in which
+ case the value is not actually used but there are no side-effects (it might
+ increase its live range which is not relevant in LCSSA though).
+ Furthermore, we can gain some intuition if we consider liveness:
+ A PHI is *usually* inserted in the current block because the value can't
+ be used from this point and onwards (i.e. the current block is a dominance
+ frontier). It doesn't make sense to consider that the value is used in
+ the current block (because of the PHI) since the value stops being live
+ before the PHI. In some sense the PHI definition just "replaces" the original
+ value definition and doesn't actually use it. It should be stressed that
+ this analogy is only used as an example and does not pose any strict
+ requirements. For example, the value might dominate the current block
+ but we can still insert a PHI (as we do with LCSSA PHI nodes) *and*
+ use the original value afterwards (in which case the two live ranges overlap,
+ although in LCSSA (the whole point is that) we never do that).
+
+
.. [#def-use-chain] A property of SSA is that there exists a def-use chain
for each definition, which is a list of all the uses of this definition.
LLVM implements this property by keeping a list of all the uses of a Value
for (Use &U : I->uses()) {
Instruction *User = cast<Instruction>(U.getUser());
BasicBlock *UserBB = User->getParent();
+
+ // For practical purposes, we consider that the use in a PHI
+ // occurs in the respective predecessor block. For more info,
+ // see the `phi` doc in LangRef and the LCSSA doc.
if (auto *PN = dyn_cast<PHINode>(User))
UserBB = PN->getIncomingBlock(U);
I->getName() + ".lcssa");
// Get the debug location from the original instruction.
PN->setDebugLoc(I->getDebugLoc());
- // Add inputs from inside the loop for this PHI.
+
+ // Add inputs from inside the loop for this PHI. This is valid
+ // because `I` dominates `ExitBB` (checked above). This implies
+ // that every incoming block/edge is dominated by `I` as well,
+ // i.e. we can add uses of `I` to those incoming edges/append to the incoming
+ // blocks without violating the SSA dominance property.
for (BasicBlock *Pred : PredCache.get(ExitBB)) {
PN->addIncoming(I, Pred);
// Rewrite all uses outside the loop in terms of the new PHIs we just
// inserted.
for (Use *UseToRewrite : UsesToRewrite) {
- // If this use is in an exit block, rewrite to use the newly inserted PHI.
- // This is required for correctness because SSAUpdate doesn't handle uses
- // in the same block. It assumes the PHI we inserted is at the end of the
- // block.
Instruction *User = cast<Instruction>(UseToRewrite->getUser());
BasicBlock *UserBB = User->getParent();
+
+ // For practical purposes, we consider that the use in a PHI
+ // occurs in the respective predecessor block. For more info,
+ // see the `phi` doc in LangRef and the LCSSA doc.
if (auto *PN = dyn_cast<PHINode>(User))
UserBB = PN->getIncomingBlock(*UseToRewrite);
+ // If this use is in an exit block, rewrite to use the newly inserted PHI.
+ // This is required for correctness because SSAUpdate doesn't handle uses
+ // in the same block. It assumes the PHI we inserted is at the end of the
+ // block.
if (isa<PHINode>(UserBB->begin()) && isExitBlock(UserBB, ExitBlocks)) {
UseToRewrite->set(&UserBB->front());
continue;