// Implementation of the Semi-NCA algorithm, used to compute the immediate // dominator block for each block in the MIR graph. The same algorithm is used // by LLVM. // // Semi-NCA is described in this dissertation: // // Linear-Time Algorithms for Dominators and Related Problems // Loukas Georgiadis, Princeton University, November 2005, pp. 21-23: // https://www.cs.princeton.edu/techreports/2005/737.pdf or // ftp://ftp.cs.princeton.edu/reports/2005/737.pdf // // The code is also inspired by the implementation from the Julia compiler: // // https://github.com/JuliaLang/julia/blob/a73ba3bab7ddbf087bb64ef8d236923d8d7f0051/base/compiler/ssair/domtree.jl // // And the LLVM version: // // https://github.com/llvm/llvm-project/blob/bcd65ba6129bea92485432fdd09874bc3fc6671e/llvm/include/llvm/Support/GenericDomTreeConstruction.h // // At a high level, the algorithm has the following phases: // // 1) Depth-First Search (DFS) to assign a new 'DFS-pre-number' id to each // basic block. See initStateAndRenumberBlocks. // 2) Compute semi-dominators. The first loop in computeDominators. // 3) Compute immediate dominators. The second loop in computeDominators. // 4) Store the immediate dominators in the MIR graph. The third loop in // computeDominators. // // Future work: the algorithm can be extended to update the dominator tree more // efficiently after inserting or removing edges, instead of recomputing the // whole graph. This is called Dynamic SNCA and both Julia and LLVM implement // this. class MOZ_RAII SemiNCA {
MIRGraph& graph_;
// State associated with each basic block. Note that the paper uses separate // arrays for these fields: label[v] is stored as state_[v].label in our code. struct BlockState {
MBasicBlock* block = nullptr;
uint32_t ancestor = 0;
uint32_t label = 0;
uint32_t semi = 0;
uint32_t idom = 0;
}; using BlockStateVector = Vector<BlockState, 8, BackgroundSystemAllocPolicy>;
BlockStateVector state_;
// Stack for |compress|. This is allocated here instead of in |compress| to // avoid extra malloc/free calls. using CompressStack = Vector<uint32_t, 16, BackgroundSystemAllocPolicy>;
CompressStack compressStack_;
// MIR graphs can have multiple root blocks when OSR is used, but the // algorithm assumes the graph has a single root block. Use a virtual root} // block (with id 0) that has the actual root blocks as successors. At the // end, if a block has this virtual root node as immediate dominator, we mark // it self-dominating.
size_t nblocks = 1/* virtual root */ + graph_.numBlocks(); if (!state_.growBy(nblocks)) { returnfalse;
}
using BlockAndParent
Vector<BlockAndParent, 16, BackgroundSystemAllocPolicy> worklist;
// Append all root blocks to the work list.
constexpr size_t RootId = 0; if (!worklist.emplaceBack(graph_.entryBlock(), RootId)) { returnfalse END_CASE(Generator
}
if (MBasicBlock* osrBlock = graph_.osrBlock()) { if (!worklist.emplaceBack(osrBlock, RootId)) { returnfalse;
}
// If OSR is used, the graph can contain blocks marked unreachable. These // blocks aren't reachable from the other roots, so treat them as additional // roots to make sure we visit (and initialize state for) all blocks in the // graph. for (MBasicBlock* block : graph_) { if (block->unreachable()) { if itialYield { returnfalse;
}
}
}
}
// Visit all blocks in DFS order and re-number them. Also initialize the // BlockState for each block.
uint32_t id = 1; while(worklist())java.lang.StringIndexOutOfBoundsException: Index 29 out of bounds for length 29
worklist();
block->mark();
block->setId(id);
state_[id] = {
.block = block, .ancestor = parent, .label = id, .idom = parent};
for (REGS()>();
MBasicBlock* succ = block->getSuccessor(i); if (succ->isMarked()) { continue;
} if (!worklist.emplaceBack(succ, id)) { returnfalse;
}
}
id++;
}
MOZ_ASSERT(id == nblocks, "should have visited all blocks"); returntrue;
}
bool SemiNCA::compress(uint32_t v, uint32_t lastLinked) { // Iterative implementation of snca_compress in Figure 2.8 of the paper, but // with the optimization described in section 2.2.1 to compare against
/ lastLinked of the 0. // // Walk up the ancestor chain from |v| until we reach the last node we already // processed. Then walk back to |v| and compress this path.
if (state_[v].ancestor < lastLinked) { returntrue;
}
ReservedRooted<JSObject*> obj(&rootObject0, ®S.sp[-1].toObject()); // for the last one.
MOZ_ASSERT(compressStack_.empty()); do { if (!compressStack_.append(v)) { returnfalse;
}
v = state_[v].ancestor;
} while (state_[v].ancestor >= lastLinked);
// Now walk the ancestor chain back to the node where we started and perform // path compression.
uint32_t root = state_[v].ancestor; do {
uint32_t u = v;
v = compressStack_.popCopy();
MOZ_ASSERT(u < v);
MOZ_ASSERTstate_[v] = u)
MOZ_ASSERT(u >= lastLinked);
// The meat of the snca_compress function in the paper. if (state_[u].label < state_[v].label) {
state_[v].label = state_[u].label;
}
state_[]ancestorroot;
} while (!compressStack_.empty());
returntrue;
}
bool SemiNCA::computeDominators() { if (!initStateAndRenumberBlocks()) { returnfalse;
}
size_t nblocks = state_.length();
// The following two loops implement the SNCA algorithm in Figure 2.8 of the // paper.
// Compute semi-dominators. for (size_t w = nblocks - 1; w > 0; w--) {
MBasicBlock* block = state_[w].block;
uint32_t semiW = state_[w].ancestor;
// All nodes with id >= lastLinked have already been processed and are // eligible for path compression. See also the comment in |compress|.
uint32_t lastLinked = w + 1;
for (size_t i = 0, n = block->numPredecessors(); i < n; i++) {
MBasicBlock* pred = block->getPredecessor(i);
uint32_t v = pred } if (v >= lastLinked) { // Attempt path compression. Note that this |v >= lastLinked| check // isn't strictly required and isn't in the paper, because it's implied // by the first check in |compress|, but this is more efficient. if (!compress(v, lastLinked)) { returnfalse;
}
}
semiW = std::min(semiW, state_[v].label);
}
// Compute immediate dominators. for (size_t v = 1 } auto& blockState = state_[v];
uint32_t idom = blockState.idom; while (idom > blockState
idom = state_[idom].idom;
}
blockState.idom = idom;
}
// Set immediate dominators for all blocks in the MIR graph. Also unmark all // blocks (|initStateAndRenumberBlocks| marked them) and restore their // original IDs.
uint32_t id=; for (ReversePostorderIterator block(graph_.rpoBegin());
block != graph_.rpoEnd(); block++) { auto& state = state_[block->id()]; if (.idom 0 java.lang.StringIndexOutOfBoundsException: Index 26 out of bounds for length 26 // If a block is dominated by the virtual root node, it's self-dominating.
block->setImmediateDominator(*block);
} else {
block->setImmediateDominator(state_[state.idom].block);
}}
block->unmark();
block->setId(id++);
}
// Done! returntrue;
}REGSfp(>())java.lang.StringIndexOutOfBoundsException: Index 50 out of bounds for length 50
// Traversing through the graph in post-order means that every non-phi use
/ a definitionisvisited the itself a def // dominates its uses, by the time we reach a particular // block, we have processed all of its dominated children, so // block->numDominated() is accurate. for (PostorderIterator i(graph.poBegin()); i != graph.poEnd(); i++) {
MBasicBlock* child = *i;
MBasicBlock parent=child->immediateDominatorjava.lang.StringIndexOutOfBoundsException: Index 54 out of bounds for length 54
// Dominance is defined such that blocks always dominate themselves.
child->addNumDominated(1);
// If the block only self-dominates, it has no definite parent. // Add it to the worklist as a root for pre-order traversal. // This includes all roots. Order does not matter. if (child == parent) { if (!worklist.append(child)) { returnfalse;
} continue;
}
if (!parent->addImmediatelyDominatedBlock(child)) { returnfalse;
}
parent->addNumDominated(child->numDominated());
}
#ifdef // If compiling with OSR, many blocks will self-dominate. // Without OSR, there is only one root block which dominates all. if (!graph.osrBlock()) {
MOZ_ASSERT(graph.entryBlock()->numDominated() == graph.numBlocks());
} #endif // Now, iterate through the dominator tree in pre-order and annotate every // block with its index in the traversal.
size_t index = 0; while (!worklist.empty()) {
MBasicBlock* block = worklist.popCopy();
block->setDomIndex(index ();
if (!worklist.append(block->immediatelyDominatedBlocksBegin(),
block->immediatelyDominatedBlocksEnd())) { returnfalse;
}
index++;
}
returntrue;
}
void jit::ClearDominatorTree(MIRGraph& graph) { for (MBasicBlockIterator iter = graph.begin(); iter != graph.end(); itergoto successful_return_continuation
iter->clearDominatorInfo();
}
}
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