verilator/src/V3DfgBreakCycles.cpp

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// -*- mode: C++; c-file-style: "cc-mode" -*-
//*************************************************************************
// DESCRIPTION: Verilator: Converting cyclic DFGs into acyclic DFGs
//
// Code available from: https://verilator.org
//
//*************************************************************************
//
// Copyright 2003-2025 by Wilson Snyder. This program is free software; you
// can redistribute it and/or modify it under the terms of either the GNU
// Lesser General Public License Version 3 or the Perl Artistic License
// Version 2.0.
// SPDX-License-Identifier: LGPL-3.0-only OR Artistic-2.0
//
//*************************************************************************
#include "V3PchAstNoMT.h" // VL_MT_DISABLED_CODE_UNIT
#include "V3Dfg.h"
#include "V3DfgPasses.h"
#include "V3Hash.h"
#include <fstream>
#include <limits>
#include <unordered_map>
#include <vector>
VL_DEFINE_DEBUG_FUNCTIONS;
// Similar algorithm used in ExtractCyclicComponents.
// This one sets DfgVertex::user(). See the static 'apply' method below.
class ColorStronglyConnectedComponents final {
static constexpr uint32_t UNASSIGNED = std::numeric_limits<uint32_t>::max();
// TYPES
struct VertexState final {
uint32_t component = UNASSIGNED; // Result component number (0 means not in SCC)
uint32_t index = UNASSIGNED; // Used by Pearce's algorithm for detecting SCCs
VertexState() = default;
VertexState(uint32_t i, uint32_t n)
: component{n}
, index{i} {}
};
// STATE
DfgGraph& m_dfg; // The input graph
uint32_t m_nonTrivialSCCs = 0; // Number of non-trivial SCCs in the graph
uint32_t m_index = 0; // Visitation index counter
std::vector<DfgVertex*> m_stack; // The stack used by the algorithm
// METHODS
void visitColorSCCs(DfgVertex& vtx, VertexState& vtxState) {
UDEBUGONLY(UASSERT_OBJ(vtxState.index == UNASSIGNED, &vtx, "Already visited vertex"););
// Visiting vertex
const size_t rootIndex = vtxState.index = ++m_index;
// Visit children
vtx.forEachSink([&](DfgVertex& child) {
VertexState& childSatate = child.user<VertexState>();
// If the child has not yet been visited, then continue traversal
if (childSatate.index == UNASSIGNED) visitColorSCCs(child, childSatate);
// If the child is not in an SCC
if (childSatate.component == UNASSIGNED) {
if (vtxState.index > childSatate.index) vtxState.index = childSatate.index;
}
});
if (vtxState.index == rootIndex) {
// This is the 'root' of an SCC
// A trivial SCC contains only a single vertex
const bool isTrivial = m_stack.empty() //
|| m_stack.back()->getUser<VertexState>().index < rootIndex;
// We also need a separate component for vertices that drive themselves (which can
// happen for input like 'assign a = a'), as we want to extract them (they are cyclic).
const bool drivesSelf = vtx.findSink<DfgVertex>([&vtx](const DfgVertex& sink) { //
return &vtx == &sink;
});
if (!isTrivial || drivesSelf) {
// Allocate new component
++m_nonTrivialSCCs;
vtxState.component = m_nonTrivialSCCs;
while (!m_stack.empty()) {
VertexState& topState = m_stack.back()->getUser<VertexState>();
// Only higher nodes belong to the same SCC
if (topState.index < rootIndex) break;
m_stack.pop_back();
topState.component = m_nonTrivialSCCs;
}
} else {
// Trivial SCC (and does not drive itself), so acyclic. Keep it in original graph.
vtxState.component = 0;
}
} else {
// Not the root of an SCC
m_stack.push_back(&vtx);
}
}
void colorSCCs() {
// Implements Pearce's algorithm to color the strongly connected components. For reference
// see "An Improved Algorithm for Finding the Strongly Connected Components of a Directed
// Graph", David J.Pearce, 2005.
// We know constant nodes have no input edges, so they cannot be part
// of a non-trivial SCC. Mark them as such without any real traversals.
for (DfgConst& vtx : m_dfg.constVertices()) vtx.setUser(VertexState{0, 0});
// Start traversals through variables
for (DfgVertexVar& vtx : m_dfg.varVertices()) {
VertexState& vtxState = vtx.user<VertexState>();
// If it has no input or no outputs, it cannot be part of a non-trivial SCC.
if (vtx.arity() == 0 || !vtx.hasSinks()) {
UDEBUGONLY(UASSERT_OBJ(vtxState.index == UNASSIGNED || vtxState.component == 0,
&vtx, "Non circular variable must be in a trivial SCC"););
vtxState.index = 0;
vtxState.component = 0;
continue;
}
// If not yet visited, start a traversal
if (vtxState.index == UNASSIGNED) visitColorSCCs(vtx, vtxState);
}
// Start traversals through operations
for (DfgVertex& vtx : m_dfg.opVertices()) {
VertexState& vtxState = vtx.user<VertexState>();
// If not yet visited, start a traversal
if (vtxState.index == UNASSIGNED) visitColorSCCs(vtx, vtxState);
}
}
ColorStronglyConnectedComponents(DfgGraph& dfg)
: m_dfg{dfg} {
UASSERT(dfg.size() < UNASSIGNED, "Graph too big " << dfg.name());
// Yet another implementation of Pearce's algorithm.
colorSCCs();
// Re-assign user values
m_dfg.forEachVertex([](DfgVertex& vtx) {
const size_t component = vtx.getUser<VertexState>().component;
vtx.setUser<uint32_t>(component);
});
}
public:
// Sets DfgVertex::user<uint32_t>() for all vertext to:
// - 0, if the vertex is not part of a non-trivial strongly connected component
// and is not part of a self-loop. That is: the Vertex is not part of any cycle.
// - N, if the vertex is part of a non-trivial strongly conneced component or self-loop N.
// That is: each set of vertices that are reachable from each other will have the same
// non-zero value assigned.
// Returns the number of non-trivial SCCs (distinct cycles)
static uint32_t apply(DfgGraph& dfg) {
return ColorStronglyConnectedComponents{dfg}.m_nonTrivialSCCs;
}
};
class TraceDriver final : public DfgVisitor {
// TYPES
// Structure denoting currently visited vertex with the MSB and LSB we are searching for
struct Visited final {
DfgVertex* m_vtxp;
uint32_t m_lsb;
uint32_t m_msb;
Visited() = delete;
Visited(DfgVertex* vtxp, uint32_t lsb, uint32_t msb)
: m_vtxp{vtxp}
, m_lsb{lsb}
, m_msb{msb} {}
struct Hash final {
size_t operator()(const Visited& item) const {
V3Hash hash{reinterpret_cast<uintptr_t>(item.m_vtxp)};
hash += item.m_lsb;
hash += item.m_msb;
return hash.value();
}
};
struct Equal final {
bool operator()(const Visited& a, const Visited& b) const {
return a.m_vtxp == b.m_vtxp && a.m_lsb == b.m_lsb && a.m_msb == b.m_lsb;
}
};
};
// STATE
DfgGraph& m_dfg; // The graph being processed
// The strongly connected component we are trying to escape
const uint32_t m_component;
uint32_t m_lsb = 0; // LSB to extract from the currently visited Vertex
uint32_t m_msb = 0; // MSB to extract from the currently visited Vertex
// Result of tracing the currently visited Vertex. Use SET_RESULT below!
DfgVertex* m_resp = nullptr;
std::vector<DfgVertex*> m_newVtxps; // New vertices created during the traversal
std::ofstream m_lineCoverageFile; // Line coverage file, just for testing
std::vector<Visited> m_stack; // Stack of currently visited vertices
// Denotes if a 'Visited' entry appear in m_stack
std::unordered_map<Visited, bool, Visited::Hash, Visited::Equal> m_visited;
// METHODS
// Create and return a new Vertex and add it to m_newVtxps. You should
// always use this to create new vertices, so unused ones (if a trace
// eventually fails) can be cleaned up at the end.
template <typename Vertex>
Vertex* make(FileLine* flp, uint32_t width) {
static_assert(std::is_base_of<DfgVertex, Vertex>::value //
&& !std::is_base_of<DfgVertexVar, Vertex>::value //
&& !std::is_same<DfgConst, DfgVertex>::value,
"Should only make operation vertices");
AstNodeDType* const dtypep = DfgVertex::dtypeForWidth(width);
Vertex* const vtxp = new Vertex{m_dfg, flp, dtypep};
m_newVtxps.emplace_back(vtxp);
return vtxp;
}
// Continue tracing drivers of the given vertex, at the given LSB. Every
// visitor should call this to continue the traversal, then immediately
// return after the call. 'visit' methods should not call 'iterate', call
// this method instead, which checks for cycles.
DfgVertex* trace(DfgVertex* const vtxp, const uint32_t msb, const uint32_t lsb) {
UASSERT_OBJ(!vtxp->is<DfgVarArray>(), vtxp, "Cannot trace array variables");
UASSERT_OBJ(vtxp->width() > msb, vtxp, "Traced Vertex too narrow");
// Push to stack
m_stack.emplace_back(vtxp, msb, lsb);
bool& onStackr = m_visited[m_stack.back()];
// Check for true combinational cycles
if (onStackr) {
// Pop from stack
m_stack.pop_back();
// Note: could issue a "proper combinational cycle" error here,
// but constructing a legible error message is hard as the Vertex
// Filelines can be very rough after optimizations (could consider
// reporting only the variables involved). Also this pass might
// run mulitple times and report the same error again. There will
// be an UNOPTFLAT issued during scheduling anyway, and the true
// cycle might still settle at run-time.
// Stop trace
return nullptr;
}
// Trace the vertex
onStackr = true;
if (vtxp->user<uint32_t>() != m_component) {
// If the currently traced vertex is in a different component,
// then we found what we were looking for.
if (msb != vtxp->width() - 1 || lsb != 0) {
// Apply a Sel to extract the relevant bits if only a part is needed
DfgSel* const selp = make<DfgSel>(vtxp->fileline(), msb - lsb + 1);
selp->fromp(vtxp);
selp->lsb(lsb);
m_resp = selp;
} else {
// Otherwise just return the vertex
m_resp = vtxp;
}
} else {
// Otherwise visit the vertex
VL_RESTORER(m_msb);
VL_RESTORER(m_lsb);
m_msb = msb;
m_lsb = lsb;
m_resp = nullptr;
iterate(vtxp);
}
UASSERT_OBJ(!m_resp || m_resp->width() == (msb - lsb + 1), vtxp, "Wrong result width");
// Pop from stack
onStackr = false;
m_stack.pop_back();
// Done
return m_resp;
}
// Use this macro to set the result in 'visit' methods. This also emits
// a line to m_lineCoverageFile for testing.
// TODO: Use C++20 std::source_location instead of a macro
#define SET_RESULT(vtxp) \
do { \
m_resp = vtxp; \
if (VL_UNLIKELY(m_lineCoverageFile.is_open())) m_lineCoverageFile << __LINE__ << '\n'; \
} while (false)
// VISITORS
void visit(DfgVertex* vtxp) override {
// Base case: cannot continue ...
UINFO(9, "TraceDriver - Unhandled vertex type: " << vtxp->typeName());
}
void visit(DfgVarPacked* vtxp) override {
// Proceed with the driver that wholly covers the searched bits
const auto pair = vtxp->sourceEdges();
for (size_t i = 0; i < pair.second; ++i) {
DfgVertex* const srcp = pair.first[i].sourcep();
const uint32_t lsb = vtxp->driverLsb(i);
const uint32_t msb = lsb + srcp->width() - 1;
// If it does not cover the searched bit range, move on
if (m_lsb < lsb || msb < m_msb) continue;
// Trace this driver
SET_RESULT(trace(srcp, m_msb - lsb, m_lsb - lsb));
return;
}
}
void visit(DfgConcat* vtxp) override {
DfgVertex* const rhsp = vtxp->rhsp();
DfgVertex* const lhsp = vtxp->lhsp();
const uint32_t rWidth = rhsp->width();
// If the traced bits are wholly in the RHS
if (rWidth > m_msb) {
SET_RESULT(trace(rhsp, m_msb, m_lsb));
return;
}
// If the traced bits are wholly in the LHS
if (m_lsb >= rWidth) {
SET_RESULT(trace(lhsp, m_msb - rWidth, m_lsb - rWidth));
return;
}
// The traced bit span both sides, attempt to trace both
if (DfgVertex* const rp = trace(rhsp, rWidth - 1, m_lsb)) {
if (DfgVertex* const lp = trace(lhsp, m_msb - rWidth, 0)) {
DfgConcat* const resp = make<DfgConcat>(vtxp->fileline(), m_msb - m_lsb + 1);
resp->rhsp(rp);
resp->lhsp(lp);
SET_RESULT(resp);
return;
}
}
}
void visit(DfgExtend* vtxp) override {
DfgVertex* const srcp = vtxp->srcp();
if (srcp->width() > m_msb) {
SET_RESULT(trace(srcp, m_msb, m_lsb));
return;
}
}
void visit(DfgSel* vtxp) override {
const uint32_t lsb = vtxp->lsb();
SET_RESULT(trace(vtxp->srcp(), m_msb + lsb, m_lsb + lsb));
return;
}
#undef SET_RESULT
// CONSTRUCTOR
TraceDriver(DfgGraph& dfg, uint32_t component)
: m_dfg{dfg}
, m_component{component} {
if (v3Global.opt.debugCheck()) {
m_lineCoverageFile.open( //
v3Global.opt.makeDir() + "/" + v3Global.opt.prefix()
+ "__V3DfgBreakCycles-TraceDriver-line-coverage.txt", //
std::ios_base::out | std::ios_base::app);
}
}
public:
// Given a Vertex that is part of an SCC denoted by vtxp->user<uint32_t>(),
// return a vertex that is equivalent to 'vtxp[lsb +: width]', but is not
// part of the same SCC. Returns nullptr if such a vertex cannot be
// computed. This can add new vertices to the graph.
static DfgVertex* apply(DfgGraph& dfg, DfgVertex* vtxp, uint32_t lsb, uint32_t width) {
TraceDriver traceDriver{dfg, vtxp->user<uint32_t>()};
// Find the out-of-component driver of the given vertex
DfgVertex* const resultp = traceDriver.trace(vtxp, lsb + width - 1, lsb);
// Delete unused newly created vertices (these can be created if a
// partial trace succeded, but an eventual one falied). Because new
// vertices should be created depth first, it is enough to do a single
// reverse pass over the collectoin
for (DfgVertex* const vtxp : vlstd::reverse_view(traceDriver.m_newVtxps)) {
// Keep the actual result!
if (vtxp == resultp) continue;
// Keep used ones!
if (vtxp->hasSinks()) continue;
// Delete it
VL_DO_DANGLING(vtxp->unlinkDelete(dfg), vtxp);
}
// Return the result
return resultp;
}
};
std::pair<std::unique_ptr<DfgGraph>, bool>
V3DfgPasses::breakCycles(const DfgGraph& dfg, V3DfgOptimizationContext& ctx) {
// Shorthand for dumping graph at given dump level
const auto dump = [&](int level, const DfgGraph& dfg, const std::string& name) {
if (dumpDfgLevel() >= level) dfg.dumpDotFilePrefixed(ctx.prefix() + "breakCycles-" + name);
};
// Can't do much with trivial things ('a = a' or 'a[1] = a[0]'), so bail
if (dfg.size() <= 2) {
UINFO(7, "Graph is trivial");
dump(9, dfg, "trivial");
++ctx.m_breakCyclesContext.m_nTrivial;
return {nullptr, false};
}
// Show input for debugging
dump(7, dfg, "input");
// We might fail to make any improvements, so first create a clone of the
// graph. This is what we will be working on, and return if successful.
// Do not touch the input graph.
std::unique_ptr<DfgGraph> resultp = dfg.clone();
// Just shorthand for code below
DfgGraph& res = *resultp;
dump(9, res, "clone");
// How many improvements have we made
size_t nImprovements = 0;
size_t prevNImprovements;
// Iterate while an improvement can be made and the graph is still cyclic
do {
// Color SCCs (populates DfgVertex::user<uint32_t>())
const auto userDataInUse = res.userDataInUse();
const uint32_t numNonTrivialSCCs = ColorStronglyConnectedComponents::apply(res);
// Congrats if it has become acyclic
if (!numNonTrivialSCCs) {
UINFO(7, "Graph became acyclic after " << nImprovements << " improvements");
dump(7, res, "result-acyclic");
++ctx.m_breakCyclesContext.m_nFixed;
return {std::move(resultp), true};
}
// Attempt new improvements
UINFO(9, "New iteration after " << nImprovements << " improvements");
prevNImprovements = nImprovements;
// Method 1. Attempt to push Sel form Var through to the driving
// expression of the selected bits. This can fix things like
// 'a[1:0] = foo', 'a[2] = a[1]', which are somewhat common.
for (DfgVertexVar& vtx : res.varVertices()) {
// Only handle DfgVarPacked at this point
DfgVarPacked* const varp = vtx.cast<DfgVarPacked>();
if (!varp) continue;
// If Variable is not part of a cycle, move on
const uint32_t component = varp->getUser<uint32_t>();
if (!component) continue;
UINFO(9, "Attempting to TraceDriver " << varp->nodep()->name());
varp->forEachSink([&](DfgVertex& sink) {
// Ignore if sink is not part of cycle
if (sink.getUser<uint32_t>() != component) return;
// Only Handle Sels now
DfgSel* const selp = sink.cast<DfgSel>();
if (!selp) return;
// Try to find of the driver of the selected bits outside the cycle
DfgVertex* const fixp = TraceDriver::apply(res, varp, selp->lsb(), selp->width());
if (!fixp) return;
// Found an out-of-cycle driver. We can replace this sel with that.
selp->replaceWith(fixp);
selp->unlinkDelete(res);
++nImprovements;
++ctx.m_breakCyclesContext.m_nImprovements;
dump(9, res, "TraceDriver");
});
}
} while (nImprovements != prevNImprovements);
// If an improvement was made, return the still cyclic improved graph
if (nImprovements) {
UINFO(7, "Graph was improved " << nImprovements << " times");
dump(7, res, "result-improved");
++ctx.m_breakCyclesContext.m_nImproved;
return {std::move(resultp), false};
}
// No improvement was made
UINFO(7, "Graph NOT improved");
dump(7, res, "result-original");
++ctx.m_breakCyclesContext.m_nUnchanged;
return {nullptr, false};
}