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Original file line number Diff line number Diff line change
Expand Up @@ -437,6 +437,15 @@ class BufferPlacementMILP : public MILP<BufferPlacement> {
void addBackedgeConstraints(ArrayRef<CFDFC *> cfdfcs,
llvm::MapVector<Value, CPVar> &channelOccupancy);

/// [FPGA24] Adds path-level occupancy equality constraints for reconvergent
/// paths that are entirely within a CFDFC (Paper: Section 5, Equations
/// 10-11). We skip paths with forks outside all CFDFC's.
void addPathOccupancyEqualityConstraints(
ArrayRef<fpga24::ReconvergentPathWithGraph> reconvergentPaths,
ArrayRef<CFDFC *> cfdfcs,
const llvm::MapVector<CFDFC *, double> &cfdfcIIs,
llvm::MapVector<Value, CPVar> &channelOccupancy);

/// [FPGA24] Adds imbalance constraints for reconvergent paths in LP1.
void addReconvergentPathConstraints(
ArrayRef<fpga24::ReconvergentPathWithGraph> reconvergentPaths);
Expand Down
48 changes: 28 additions & 20 deletions lib/Transforms/BufferPlacement/FPGA24Buffers.cpp
Original file line number Diff line number Diff line change
Expand Up @@ -26,6 +26,7 @@
#include "mlir/IR/Value.h"
#include "mlir/Support/LLVM.h"
#include "mlir/Support/LogicalResult.h"
#include "llvm/ADT/DenseSet.h"
#include "llvm/ADT/STLExtras.h"
#include "llvm/ADT/SmallVector.h"
#include "llvm/Support/Debug.h"
Expand Down Expand Up @@ -150,51 +151,58 @@ void OccupancyBalancingLP::setup() {
return;
}

/// Target II = 1 for maximum throughput
double targetII = latencyResult.targetII;
if (targetII <= 0.0) {
targetII = 1.0;
}
/// Create variables for each channel
/// N_c: Maximal token occupancy on channel c.

/// (Paper: Section 5, Table 2)
/// N_c: Maximal token occupancy on channel c.
this->addOccupancyVars(allChannels, channelOccupancy, MAX_OCCUPANCY);

/// (Paper: Section 5, Equation 8): N_c >= L_c / II
/// We enforce this for the global II, but also for each CFDFC's specific II
/// to ensure sufficient buffering in faster loops.
/// (Paper: Section 5, Equation 15): Making the required occupancy the
/// maximum of all CFDFCs' II.
/// Determine which channels belong to at least one CFDFC.
llvm::DenseSet<Value> cfdfcChannels;
for (CFDFC *cfdfc : cfdfcs)
for (Value channel : cfdfc->channels)
cfdfcChannels.insert(channel);

/// (Paper: Section 5, Equation 8): N_c >= L_c / II
/// Per-channel lower bound ensuring the pipeline has enough tokens in flight.
/// For non-CFDFC channels (executed once), N_c >= 1 suffices.
llvm::MapVector<Value, double> requiredOccupancy;

// Initialize with global II constraint
for (Value channel : allChannels) {
unsigned latency = latencyResult.channelExtraLatency.lookup(channel);
requiredOccupancy[channel] = static_cast<double>(latency) / targetII;
if (cfdfcChannels.contains(channel))
requiredOccupancy[channel] = static_cast<double>(latency) / targetII;
else
requiredOccupancy[channel] = (latency > 0) ? 1.0 : 0.0;
}

// Update by taking the maximum of the per-CFDFC constraints
/// (Paper: Section 5, Equation 15): Take the maximum across per-CFDFC IIs.
for (CFDFC *cfdfc : cfdfcs) {
double cfdfcII = latencyResult.cfdfcTargetIIs.lookup(cfdfc);
if (cfdfcII < 1.0)
continue;

for (Value channel : cfdfc->channels) {
if (requiredOccupancy.count(channel)) {
unsigned latency = latencyResult.channelExtraLatency.lookup(channel);
double specificOcc = static_cast<double>(latency) / cfdfcII;
if (specificOcc > requiredOccupancy[channel]) {
requiredOccupancy[channel] = specificOcc;
}
}
if (!requiredOccupancy.count(channel))
continue;
unsigned latency = latencyResult.channelExtraLatency.lookup(channel);
double specificOcc = static_cast<double>(latency) / cfdfcII;
if (specificOcc > requiredOccupancy[channel])
requiredOccupancy[channel] = specificOcc;
}
}

addMinOccupancyConstraints(requiredOccupancy, channelOccupancy);
addBackedgeConstraints(cfdfcs, channelOccupancy);
addChannelPropertyOccupancyConstraints(channelOccupancy);

/// (Paper: Section 5, Equations 10-11): Path occupancy equality.
addPathOccupancyEqualityConstraints(reconvergentPaths, cfdfcs,
latencyResult.cfdfcTargetIIs,
channelOccupancy);

/// (Paper: Section 5, Equation 14): Minimize sum(B_c * N_c).
this->setOccupancyBalancingObjective(channelOccupancy);

markReadyToOptimize();
Expand Down
72 changes: 72 additions & 0 deletions lib/Transforms/BufferPlacement/Utils/BufferPlacementMILP.cpp
Original file line number Diff line number Diff line change
Expand Up @@ -1350,6 +1350,78 @@ void BufferPlacementMILP::addBackedgeConstraints(
}
}

void BufferPlacementMILP::addPathOccupancyEqualityConstraints(
ArrayRef<fpga24::ReconvergentPathWithGraph> reconvergentPaths,
ArrayRef<CFDFC *> cfdfcs, const llvm::MapVector<CFDFC *, double> &cfdfcIIs,
llvm::MapVector<Value, CPVar> &channelOccupancy) {

for (auto [pathIdx, pathWithGraph] : llvm::enumerate(reconvergentPaths)) {
Comment thread
ziadomalik marked this conversation as resolved.
const ReconvergentPath &rp = pathWithGraph.path;
const CFGTransitionSequenceSubgraph *graph = pathWithGraph.graph;
const DataflowGraphNode &forkNode = graph->nodes[rp.forkNodeId];

// We skip paths whose fork is outside all CFDFCs.
if (forkNode.type == DataflowGraphNode::REGULAR &&
llvm::none_of(cfdfcs, [&](CFDFC *cfdfc) {
return cfdfc->units.contains(forkNode.op);
}))
continue;

std::vector<SimplePath> simplePaths =
enumerateSimplePaths(*graph, rp.forkNodeId, rp.joinNodeId, rp.nodeIds);
if (simplePaths.size() < 2)
continue;

// For each simple path, the sum of channel occupancies (N_c) and the total
// latency of the units.
std::vector<std::pair<LinExpr, double>> pathTerms;
for (const auto &path : simplePaths) {
LinExpr occupancySum;
double latencySum = 0.0;

for (NodeIdType nodeId : path.nodes) {
if (nodeId == rp.forkNodeId || nodeId == rp.joinNodeId)
continue;
const DataflowGraphNode &node = graph->nodes[nodeId];
if (node.type != DataflowGraphNode::REGULAR)
continue;
auto latOrFail =
timingDB.getLatency(node.op, SignalType::DATA, targetPeriod);
if (succeeded(latOrFail) && *latOrFail > 0.0)
latencySum += *latOrFail;
}

for (EdgeIdType edgeId : path.edges) {
Value channel = graph->edges[edgeId].channel;
if (channelOccupancy.count(channel))
occupancySum += channelOccupancy[channel];
}

pathTerms.emplace_back(std::move(occupancySum), latencySum);
}

// (Paper: Section 5, Equation 11): Occupancy(p0) = Occupancy(pi)
for (auto [cfdfcIdx, cfdfc] : llvm::enumerate(cfdfcs)) {
if (forkNode.type == DataflowGraphNode::REGULAR &&
!cfdfc->units.contains(forkNode.op))
continue;

double cfdfcII = std::max(1.0, cfdfcIIs.lookup(cfdfc));

for (size_t i = 1; i < pathTerms.size(); ++i) {
auto &[vars0, lat0] = pathTerms[0];
auto &[varsI, latI] = pathTerms[i];

std::string name =
llvm::formatv("pathOccEq_{0}_cfdfc{1}_{2}", pathIdx, cfdfcIdx, i)
.str();
model->addConstr(vars0 + lat0 / cfdfcII == varsI + latI / cfdfcII,
name);
}
}
}
}

void BufferPlacementMILP::addReconvergentPathConstraints(
ArrayRef<fpga24::ReconvergentPathWithGraph> reconvergentPaths) {
for (size_t pathIdx = 0; pathIdx < reconvergentPaths.size(); ++pathIdx) {
Expand Down
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