// Copyright 2014 the V8 project authors. All rights reserved. // Use of this source code is governed by a BSD-style license that can be // found in the LICENSE file. #include "src/compiler/loop-analysis.h" #include "src/compiler/graph.h" #include "src/compiler/node-marker.h" #include "src/compiler/node-properties.h" #include "src/compiler/node.h" #include "src/zone/zone.h" namespace v8 { namespace internal { namespace compiler { #define OFFSET(x) ((x)&0x1f) #define BIT(x) (1u << OFFSET(x)) #define INDEX(x) ((x) >> 5) // Temporary information for each node during marking. struct NodeInfo { Node* node; NodeInfo* next; // link in chaining loop members }; // Temporary loop info needed during traversal and building the loop tree. struct LoopInfo { Node* header; NodeInfo* header_list; NodeInfo* exit_list; NodeInfo* body_list; LoopTree::Loop* loop; }; // Encapsulation of the loop finding algorithm. // ----------------------------------------------------------------------------- // Conceptually, the contents of a loop are those nodes that are "between" the // loop header and the backedges of the loop. Graphs in the soup of nodes can // form improper cycles, so standard loop finding algorithms that work on CFGs // aren't sufficient. However, in valid TurboFan graphs, all cycles involve // either a {Loop} node or a phi. The {Loop} node itself and its accompanying // phis are treated together as a set referred to here as the loop header. // This loop finding algorithm works by traversing the graph in two directions, // first from nodes to their inputs, starting at {end}, then in the reverse // direction, from nodes to their uses, starting at loop headers. // 1 bit per loop per node per direction are required during the marking phase. // To handle nested loops correctly, the algorithm must filter some reachability // marks on edges into/out-of the loop header nodes. class LoopFinderImpl { public: LoopFinderImpl(Graph* graph, LoopTree* loop_tree, Zone* zone) : zone_(zone), end_(graph->end()), queue_(zone), queued_(graph, 2), info_(graph->NodeCount(), {nullptr, nullptr}, zone), loops_(zone), loop_num_(graph->NodeCount(), -1, zone), loop_tree_(loop_tree), loops_found_(0), width_(0), backward_(nullptr), forward_(nullptr) {} void Run() { PropagateBackward(); PropagateForward(); FinishLoopTree(); } void Print() { // Print out the results. for (NodeInfo& ni : info_) { if (ni.node == nullptr) continue; for (int i = 1; i <= loops_found_; i++) { int index = ni.node->id() * width_ + INDEX(i); bool marked_forward = forward_[index] & BIT(i); bool marked_backward = backward_[index] & BIT(i); if (marked_forward && marked_backward) { PrintF("X"); } else if (marked_forward) { PrintF(">"); } else if (marked_backward) { PrintF("<"); } else { PrintF(" "); } } PrintF(" #%d:%s\n", ni.node->id(), ni.node->op()->mnemonic()); } int i = 0; for (LoopInfo& li : loops_) { PrintF("Loop %d headed at #%d\n", i, li.header->id()); i++; } for (LoopTree::Loop* loop : loop_tree_->outer_loops_) { PrintLoop(loop); } } private: Zone* zone_; Node* end_; NodeDeque queue_; NodeMarker queued_; ZoneVector info_; ZoneVector loops_; ZoneVector loop_num_; LoopTree* loop_tree_; int loops_found_; int width_; uint32_t* backward_; uint32_t* forward_; int num_nodes() { return static_cast(loop_tree_->node_to_loop_num_.size()); } // Tb = Tb | (Fb - loop_filter) bool PropagateBackwardMarks(Node* from, Node* to, int loop_filter) { if (from == to) return false; uint32_t* fp = &backward_[from->id() * width_]; uint32_t* tp = &backward_[to->id() * width_]; bool change = false; for (int i = 0; i < width_; i++) { uint32_t mask = i == INDEX(loop_filter) ? ~BIT(loop_filter) : 0xFFFFFFFF; uint32_t prev = tp[i]; uint32_t next = prev | (fp[i] & mask); tp[i] = next; if (!change && (prev != next)) change = true; } return change; } // Tb = Tb | B bool SetBackwardMark(Node* to, int loop_num) { uint32_t* tp = &backward_[to->id() * width_ + INDEX(loop_num)]; uint32_t prev = tp[0]; uint32_t next = prev | BIT(loop_num); tp[0] = next; return next != prev; } // Tf = Tf | B bool SetForwardMark(Node* to, int loop_num) { uint32_t* tp = &forward_[to->id() * width_ + INDEX(loop_num)]; uint32_t prev = tp[0]; uint32_t next = prev | BIT(loop_num); tp[0] = next; return next != prev; } // Tf = Tf | (Ff & Tb) bool PropagateForwardMarks(Node* from, Node* to) { if (from == to) return false; bool change = false; int findex = from->id() * width_; int tindex = to->id() * width_; for (int i = 0; i < width_; i++) { uint32_t marks = backward_[tindex + i] & forward_[findex + i]; uint32_t prev = forward_[tindex + i]; uint32_t next = prev | marks; forward_[tindex + i] = next; if (!change && (prev != next)) change = true; } return change; } bool IsInLoop(Node* node, int loop_num) { int offset = node->id() * width_ + INDEX(loop_num); return backward_[offset] & forward_[offset] & BIT(loop_num); } // Propagate marks backward from loop headers. void PropagateBackward() { ResizeBackwardMarks(); SetBackwardMark(end_, 0); Queue(end_); while (!queue_.empty()) { Node* node = queue_.front(); info(node); queue_.pop_front(); queued_.Set(node, false); int loop_num = -1; // Setup loop headers first. if (node->opcode() == IrOpcode::kLoop) { // found the loop node first. loop_num = CreateLoopInfo(node); } else if (NodeProperties::IsPhi(node)) { // found a phi first. Node* merge = node->InputAt(node->InputCount() - 1); if (merge->opcode() == IrOpcode::kLoop) { loop_num = CreateLoopInfo(merge); } } else if (node->opcode() == IrOpcode::kLoopExit) { // Intentionally ignore return value. Loop exit node marks // are propagated normally. CreateLoopInfo(node->InputAt(1)); } else if (node->opcode() == IrOpcode::kLoopExitValue || node->opcode() == IrOpcode::kLoopExitEffect) { Node* loop_exit = NodeProperties::GetControlInput(node); // Intentionally ignore return value. Loop exit node marks // are propagated normally. CreateLoopInfo(loop_exit->InputAt(1)); } // Propagate marks backwards from this node. for (int i = 0; i < node->InputCount(); i++) { Node* input = node->InputAt(i); if (IsBackedge(node, i)) { // Only propagate the loop mark on backedges. if (SetBackwardMark(input, loop_num)) Queue(input); } else { // Entry or normal edge. Propagate all marks except loop_num. if (PropagateBackwardMarks(node, input, loop_num)) Queue(input); } } } } // Make a new loop if necessary for the given node. int CreateLoopInfo(Node* node) { DCHECK_EQ(IrOpcode::kLoop, node->opcode()); int loop_num = LoopNum(node); if (loop_num > 0) return loop_num; loop_num = ++loops_found_; if (INDEX(loop_num) >= width_) ResizeBackwardMarks(); // Create a new loop. loops_.push_back({node, nullptr, nullptr, nullptr, nullptr}); loop_tree_->NewLoop(); SetLoopMarkForLoopHeader(node, loop_num); return loop_num; } void SetLoopMark(Node* node, int loop_num) { info(node); // create the NodeInfo SetBackwardMark(node, loop_num); loop_tree_->node_to_loop_num_[node->id()] = loop_num; } void SetLoopMarkForLoopHeader(Node* node, int loop_num) { DCHECK_EQ(IrOpcode::kLoop, node->opcode()); SetLoopMark(node, loop_num); for (Node* use : node->uses()) { if (NodeProperties::IsPhi(use)) { SetLoopMark(use, loop_num); } // Do not keep the loop alive if it does not have any backedges. if (node->InputCount() <= 1) continue; if (use->opcode() == IrOpcode::kLoopExit) { SetLoopMark(use, loop_num); for (Node* exit_use : use->uses()) { if (exit_use->opcode() == IrOpcode::kLoopExitValue || exit_use->opcode() == IrOpcode::kLoopExitEffect) { SetLoopMark(exit_use, loop_num); } } } } } void ResizeBackwardMarks() { int new_width = width_ + 1; int max = num_nodes(); uint32_t* new_backward = zone_->NewArray(new_width * max); memset(new_backward, 0, new_width * max * sizeof(uint32_t)); if (width_ > 0) { // copy old matrix data. for (int i = 0; i < max; i++) { uint32_t* np = &new_backward[i * new_width]; uint32_t* op = &backward_[i * width_]; for (int j = 0; j < width_; j++) np[j] = op[j]; } } width_ = new_width; backward_ = new_backward; } void ResizeForwardMarks() { int max = num_nodes(); forward_ = zone_->NewArray(width_ * max); memset(forward_, 0, width_ * max * sizeof(uint32_t)); } // Propagate marks forward from loops. void PropagateForward() { ResizeForwardMarks(); for (LoopInfo& li : loops_) { SetForwardMark(li.header, LoopNum(li.header)); Queue(li.header); } // Propagate forward on paths that were backward reachable from backedges. while (!queue_.empty()) { Node* node = queue_.front(); queue_.pop_front(); queued_.Set(node, false); for (Edge edge : node->use_edges()) { Node* use = edge.from(); if (!IsBackedge(use, edge.index())) { if (PropagateForwardMarks(node, use)) Queue(use); } } } } bool IsLoopHeaderNode(Node* node) { return node->opcode() == IrOpcode::kLoop || NodeProperties::IsPhi(node); } bool IsLoopExitNode(Node* node) { return node->opcode() == IrOpcode::kLoopExit || node->opcode() == IrOpcode::kLoopExitValue || node->opcode() == IrOpcode::kLoopExitEffect; } bool IsBackedge(Node* use, int index) { if (LoopNum(use) <= 0) return false; if (NodeProperties::IsPhi(use)) { return index != NodeProperties::FirstControlIndex(use) && index != kAssumedLoopEntryIndex; } else if (use->opcode() == IrOpcode::kLoop) { return index != kAssumedLoopEntryIndex; } DCHECK(IsLoopExitNode(use)); return false; } int LoopNum(Node* node) { return loop_tree_->node_to_loop_num_[node->id()]; } NodeInfo& info(Node* node) { NodeInfo& i = info_[node->id()]; if (i.node == nullptr) i.node = node; return i; } void Queue(Node* node) { if (!queued_.Get(node)) { queue_.push_back(node); queued_.Set(node, true); } } void AddNodeToLoop(NodeInfo* node_info, LoopInfo* loop, int loop_num) { if (LoopNum(node_info->node) == loop_num) { if (IsLoopHeaderNode(node_info->node)) { node_info->next = loop->header_list; loop->header_list = node_info; } else { DCHECK(IsLoopExitNode(node_info->node)); node_info->next = loop->exit_list; loop->exit_list = node_info; } } else { node_info->next = loop->body_list; loop->body_list = node_info; } } void FinishLoopTree() { DCHECK(loops_found_ == static_cast(loops_.size())); DCHECK(loops_found_ == static_cast(loop_tree_->all_loops_.size())); // Degenerate cases. if (loops_found_ == 0) return; if (loops_found_ == 1) return FinishSingleLoop(); for (int i = 1; i <= loops_found_; i++) ConnectLoopTree(i); size_t count = 0; // Place the node into the innermost nested loop of which it is a member. for (NodeInfo& ni : info_) { if (ni.node == nullptr) continue; LoopInfo* innermost = nullptr; int innermost_index = 0; int pos = ni.node->id() * width_; // Search the marks word by word. for (int i = 0; i < width_; i++) { uint32_t marks = backward_[pos + i] & forward_[pos + i]; for (int j = 0; j < 32; j++) { if (marks & (1u << j)) { int loop_num = i * 32 + j; if (loop_num == 0) continue; LoopInfo* loop = &loops_[loop_num - 1]; if (innermost == nullptr || loop->loop->depth_ > innermost->loop->depth_) { innermost = loop; innermost_index = loop_num; } } } } if (innermost == nullptr) continue; AddNodeToLoop(&ni, innermost, innermost_index); count++; } // Serialize the node lists for loops into the loop tree. loop_tree_->loop_nodes_.reserve(count); for (LoopTree::Loop* loop : loop_tree_->outer_loops_) { SerializeLoop(loop); } } // Handle the simpler case of a single loop (no checks for nesting necessary). void FinishSingleLoop() { // Place nodes into the loop header and body. LoopInfo* li = &loops_[0]; li->loop = &loop_tree_->all_loops_[0]; loop_tree_->SetParent(nullptr, li->loop); size_t count = 0; for (NodeInfo& ni : info_) { if (ni.node == nullptr || !IsInLoop(ni.node, 1)) continue; AddNodeToLoop(&ni, li, 1); count++; } // Serialize the node lists for the loop into the loop tree. loop_tree_->loop_nodes_.reserve(count); SerializeLoop(li->loop); } // Recursively serialize the list of header nodes and body nodes // so that nested loops occupy nested intervals. void SerializeLoop(LoopTree::Loop* loop) { int loop_num = loop_tree_->LoopNum(loop); LoopInfo& li = loops_[loop_num - 1]; // Serialize the header. loop->header_start_ = static_cast(loop_tree_->loop_nodes_.size()); for (NodeInfo* ni = li.header_list; ni != nullptr; ni = ni->next) { loop_tree_->loop_nodes_.push_back(ni->node); loop_tree_->node_to_loop_num_[ni->node->id()] = loop_num; } // Serialize the body. loop->body_start_ = static_cast(loop_tree_->loop_nodes_.size()); for (NodeInfo* ni = li.body_list; ni != nullptr; ni = ni->next) { loop_tree_->loop_nodes_.push_back(ni->node); loop_tree_->node_to_loop_num_[ni->node->id()] = loop_num; } // Serialize nested loops. for (LoopTree::Loop* child : loop->children_) SerializeLoop(child); // Serialize the exits. loop->exits_start_ = static_cast(loop_tree_->loop_nodes_.size()); for (NodeInfo* ni = li.exit_list; ni != nullptr; ni = ni->next) { loop_tree_->loop_nodes_.push_back(ni->node); loop_tree_->node_to_loop_num_[ni->node->id()] = loop_num; } loop->exits_end_ = static_cast(loop_tree_->loop_nodes_.size()); } // Connect the LoopTree loops to their parents recursively. LoopTree::Loop* ConnectLoopTree(int loop_num) { LoopInfo& li = loops_[loop_num - 1]; if (li.loop != nullptr) return li.loop; NodeInfo& ni = info(li.header); LoopTree::Loop* parent = nullptr; for (int i = 1; i <= loops_found_; i++) { if (i == loop_num) continue; if (IsInLoop(ni.node, i)) { // recursively create potential parent loops first. LoopTree::Loop* upper = ConnectLoopTree(i); if (parent == nullptr || upper->depth_ > parent->depth_) { parent = upper; } } } li.loop = &loop_tree_->all_loops_[loop_num - 1]; loop_tree_->SetParent(parent, li.loop); return li.loop; } void PrintLoop(LoopTree::Loop* loop) { for (int i = 0; i < loop->depth_; i++) PrintF(" "); PrintF("Loop depth = %d ", loop->depth_); int i = loop->header_start_; while (i < loop->body_start_) { PrintF(" H#%d", loop_tree_->loop_nodes_[i++]->id()); } while (i < loop->exits_start_) { PrintF(" B#%d", loop_tree_->loop_nodes_[i++]->id()); } while (i < loop->exits_end_) { PrintF(" E#%d", loop_tree_->loop_nodes_[i++]->id()); } PrintF("\n"); for (LoopTree::Loop* child : loop->children_) PrintLoop(child); } }; LoopTree* LoopFinder::BuildLoopTree(Graph* graph, Zone* zone) { LoopTree* loop_tree = new (graph->zone()) LoopTree(graph->NodeCount(), graph->zone()); LoopFinderImpl finder(graph, loop_tree, zone); finder.Run(); if (FLAG_trace_turbo_loop) { finder.Print(); } return loop_tree; } Node* LoopTree::HeaderNode(Loop* loop) { Node* first = *HeaderNodes(loop).begin(); if (first->opcode() == IrOpcode::kLoop) return first; DCHECK(IrOpcode::IsPhiOpcode(first->opcode())); Node* header = NodeProperties::GetControlInput(first); DCHECK_EQ(IrOpcode::kLoop, header->opcode()); return header; } } // namespace compiler } // namespace internal } // namespace v8