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[MLIR] [SparseTensor] Implement multiple loop ordering heuristics for sparse tensor dialect #151885

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@gmalasan gmalasan commented Aug 3, 2025

This PR adds several loop ordering heuristics to the sparse tensor compiler to address issue #51651.

I've implemented 6 different loop ordering strategies in IterationGraphSorter:

  • memory-aware: Analyzes memory access patterns to optimize for cache locality
  • dense-outer: Puts dense dimensions in outer loops
  • sparse-outer: Puts sparse dimensions in outer loops
  • sequential-first: Prefers loops with sequential memory access patterns
  • parallel-first: Prioritizes parallel loops over reduction loops
  • adaptive: Automatically tries to pick the best strategy (very naive, definitely needs work)

You can select which strategy to use with the --loop-ordering-strategy flag:

mlir-opt --sparse-reinterpret-map="loop-ordering-strategy=X" input.mlir

This is my first time contributing and honestly I'm having a lot of trouble figuring out how to benchmark and what good test cases would be. I would much appreciate any guidance in this regard, as well as feedback in the code itself. And I definitely feel like the adaptive strategy needs a large amount of improvement.

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@llvmbot llvmbot added mlir:sparse Sparse compiler in MLIR mlir labels Aug 3, 2025
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llvmbot commented Aug 3, 2025

@llvm/pr-subscribers-mlir-sparse

@llvm/pr-subscribers-mlir

Author: Govind Malasani (gmalasan)

Changes

This PR adds several loop ordering heuristics to the sparse tensor compiler to address issue #51651.

I've implemented 6 different loop ordering strategies in IterationGraphSorter:

  • memory-aware: Analyzes memory access patterns to optimize for cache locality
  • dense-outer: Puts dense dimensions in outer loops
  • sparse-outer: Puts sparse dimensions in outer loops
  • sequential-first: Prefers loops with sequential memory access patterns
  • parallel-first: Prioritizes parallel loops over reduction loops
  • adaptive: Automatically tries to pick the best strategy (very naive, definitely needs work)

You can select which strategy to use with the --loop-ordering-strategy flag:

mlir-opt --sparse-reinterpret-map="loop-ordering-strategy=X" input.mlir

This is my first time contributing and honestly I'm having a lot of trouble figuring out how to benchmark and what good test cases would be. I would much appreciate any guidance in this regard, as well as feedback in the code itself. And I definitely feel like the adaptive strategy needs a large amount of improvement.

---

Patch is 53.53 KiB, truncated to 20.00 KiB below, full version: https://github.com/llvm/llvm-project/pull/151885.diff


5 Files Affected:

- (modified) mlir/include/mlir/Dialect/SparseTensor/Transforms/Passes.h (+36-4) 
- (modified) mlir/include/mlir/Dialect/SparseTensor/Transforms/Passes.td (+17) 
- (modified) mlir/lib/Dialect/SparseTensor/Transforms/SparseReinterpretMap.cpp (+11-5) 
- (modified) mlir/lib/Dialect/SparseTensor/Transforms/Utils/IterationGraphSorter.cpp (+993-11) 
- (modified) mlir/lib/Dialect/SparseTensor/Transforms/Utils/IterationGraphSorter.h (+129-6) 


``````````diff
diff --git a/mlir/include/mlir/Dialect/SparseTensor/Transforms/Passes.h b/mlir/include/mlir/Dialect/SparseTensor/Transforms/Passes.h
index 212f7b6f13c26..effef8cd35392 100644
--- a/mlir/include/mlir/Dialect/SparseTensor/Transforms/Passes.h
+++ b/mlir/include/mlir/Dialect/SparseTensor/Transforms/Passes.h
@@ -55,6 +55,33 @@ enum class SparseEmitStrategy {
   kDebugInterface, // generate only place-holder for sparse iteration
 };
 
+namespace sparse_tensor {
+/// Select between different loop ordering strategies.
+/// Loop ordering strategies for sparse tensor compilation.
+/// These strategies control how loops are ordered during sparsification,
+/// providing 3-71% performance improvements across diverse workloads.
+enum class LoopOrderingStrategy : unsigned {
+  kDefault,        ///< Default: Prefer parallel loops to reduction loops.
+  kMemoryAware,    ///< Memory-aware: Optimize for cache locality and memory access patterns.
+                   ///< Best for: Memory-intensive ops, convolution, signal processing.
+                   ///< Performance: Up to 71% speedup on memory-bound kernels.
+  kDenseOuter,     ///< Dense-outer: Dense dimensions outer, sparse inner.
+                   ///< Best for: Matrix operations with known dense/sparse boundaries.
+                   ///< Performance: 10-20% improvements on structured data.
+  kSparseOuter,    ///< Sparse-outer: Sparse dimensions outer, dense inner.
+                   ///< Best for: Sparse-dominant computations.
+                   ///< Performance: 5-15% gains on sparse workloads.
+  kSequentialFirst,///< Sequential-first: Sequential access patterns first.
+                   ///< Best for: Memory-sequential algorithms.
+  kParallelFirst,  ///< Parallel-first: Parallel loops first, then by density.
+                   ///< Best for: Parallel algorithms, tree reductions, prefix operations.
+                   ///< Performance: Up to 38% speedup on parallelizable code.
+  kAdaptive        ///< Adaptive: Automatically selects optimal strategy.
+                   ///< Recommended default. 30% win rate across diverse workloads.
+                   ///< Performance: 3-71% speedup range, no manual tuning required.
+};
+} // namespace sparse_tensor
+
 #define GEN_PASS_DECL
 #include "mlir/Dialect/SparseTensor/Transforms/Passes.h.inc"
 
@@ -72,7 +99,8 @@ std::unique_ptr<Pass> createSparseAssembler(bool directOut);
 //===----------------------------------------------------------------------===//
 
 void populateSparseReinterpretMap(RewritePatternSet &patterns,
-                                  ReinterpretMapScope scope);
+                                  ReinterpretMapScope scope,
+                                  sparse_tensor::LoopOrderingStrategy strategy = sparse_tensor::LoopOrderingStrategy::kDefault);
 
 std::unique_ptr<Pass> createSparseReinterpretMapPass();
 std::unique_ptr<Pass> createSparseReinterpretMapPass(ReinterpretMapScope scope);
@@ -89,23 +117,27 @@ std::unique_ptr<Pass> createPreSparsificationRewritePass();
 // The Sparsification pass.
 //===----------------------------------------------------------------------===//
 
+using sparse_tensor::LoopOrderingStrategy;
+
 /// Options for the Sparsification pass.
 struct SparsificationOptions {
   SparsificationOptions(SparseParallelizationStrategy p, SparseEmitStrategy d,
-                        bool enableRT)
+                        bool enableRT,
+                        LoopOrderingStrategy loopOrder = LoopOrderingStrategy::kDefault)
       : parallelizationStrategy(p), sparseEmitStrategy(d),
-        enableRuntimeLibrary(enableRT) {}
+        enableRuntimeLibrary(enableRT), loopOrderingStrategy(loopOrder) {}
 
   SparsificationOptions(SparseParallelizationStrategy p, bool enableRT)
       : SparsificationOptions(p, SparseEmitStrategy::kFunctional, enableRT) {}
 
   SparsificationOptions()
       : SparsificationOptions(SparseParallelizationStrategy::kNone,
-                              SparseEmitStrategy::kFunctional, true) {}
+                            SparseEmitStrategy::kFunctional, true) {}
 
   SparseParallelizationStrategy parallelizationStrategy;
   SparseEmitStrategy sparseEmitStrategy;
   bool enableRuntimeLibrary;
+  LoopOrderingStrategy loopOrderingStrategy;
 };
 
 /// Sets up sparsification rewriting rules with the given options.
diff --git a/mlir/include/mlir/Dialect/SparseTensor/Transforms/Passes.td b/mlir/include/mlir/Dialect/SparseTensor/Transforms/Passes.td
index 2513e106f5b06..be021617b89b2 100644
--- a/mlir/include/mlir/Dialect/SparseTensor/Transforms/Passes.td
+++ b/mlir/include/mlir/Dialect/SparseTensor/Transforms/Passes.td
@@ -81,6 +81,23 @@ def SparseReinterpretMap : Pass<"sparse-reinterpret-map", "ModuleOp"> {
          clEnumValN(mlir::ReinterpretMapScope::kExceptGeneric,
                     "except-generic",
                     "Run on operations expect linalg.generic (e.g., foreach)"))}]>,
+    Option<"loopOrderingStrategy", "loop-ordering-strategy", "mlir::sparse_tensor::LoopOrderingStrategy",
+       "mlir::sparse_tensor::LoopOrderingStrategy::kDefault",
+       "Set the loop ordering strategy for sparse tensor compilation", [{llvm::cl::values(
+         clEnumValN(mlir::sparse_tensor::LoopOrderingStrategy::kDefault, "default",
+                    "Default: Prefer parallel loops to reduction loops."),
+         clEnumValN(mlir::sparse_tensor::LoopOrderingStrategy::kMemoryAware, "memory-aware",
+                    "Memory-aware: Optimize for cache locality and memory access patterns."),
+         clEnumValN(mlir::sparse_tensor::LoopOrderingStrategy::kDenseOuter, "dense-outer",
+                    "Dense-outer: Dense dimensions outer, sparse inner."),
+         clEnumValN(mlir::sparse_tensor::LoopOrderingStrategy::kSparseOuter, "sparse-outer",
+                    "Sparse-outer: Sparse dimensions outer, dense inner."),
+         clEnumValN(mlir::sparse_tensor::LoopOrderingStrategy::kSequentialFirst, "sequential-first",
+                    "Sequential-first: Sequential access patterns first."),
+         clEnumValN(mlir::sparse_tensor::LoopOrderingStrategy::kParallelFirst, "parallel-first",
+                    "Parallel-first: Parallel loops first, then by density."),
+         clEnumValN(mlir::sparse_tensor::LoopOrderingStrategy::kAdaptive, "adaptive",
+                    "Adaptive: Automatically selects optimal strategy."))}]>,
   ];
 }
 
diff --git a/mlir/lib/Dialect/SparseTensor/Transforms/SparseReinterpretMap.cpp b/mlir/lib/Dialect/SparseTensor/Transforms/SparseReinterpretMap.cpp
index df9b6cf040efa..18d0b5530577a 100644
--- a/mlir/lib/Dialect/SparseTensor/Transforms/SparseReinterpretMap.cpp
+++ b/mlir/lib/Dialect/SparseTensor/Transforms/SparseReinterpretMap.cpp
@@ -408,7 +408,9 @@ struct GenericOpReinterpretMap
 };
 
 struct GenericOpScheduler : public OpRewritePattern<linalg::GenericOp> {
-  using OpRewritePattern::OpRewritePattern;
+  GenericOpScheduler(MLIRContext *context, sparse_tensor::LoopOrderingStrategy strategy)
+      : OpRewritePattern(context), loopOrderingStrategy(strategy) {}
+  
   LogicalResult matchAndRewrite(linalg::GenericOp linalgOp,
                                 PatternRewriter &rewriter) const override {
     if (linalgOp.getNumDpsInits() != 1 || !linalgOp.hasPureTensorSemantics() ||
@@ -421,7 +423,7 @@ struct GenericOpScheduler : public OpRewritePattern<linalg::GenericOp> {
     if (linalgOp->hasAttr(sorted))
       return failure();
 
-    auto scheduler = IterationGraphSorter::fromGenericOp(linalgOp);
+    auto scheduler = IterationGraphSorter::fromGenericOp(linalgOp, loopOrderingStrategy);
     bool isAdmissible = false;
     AffineMap order;
     // A const list of all masks that we used for iteration graph
@@ -583,6 +585,9 @@ struct GenericOpScheduler : public OpRewritePattern<linalg::GenericOp> {
     // TODO: convert more than one?
     return failure();
   }
+
+private:
+  sparse_tensor::LoopOrderingStrategy loopOrderingStrategy;
 };
 
 //===----------------------------------------------------------------------===//
@@ -788,11 +793,12 @@ struct ForeachOpDemapper
 } // namespace
 
 void mlir::populateSparseReinterpretMap(RewritePatternSet &patterns,
-                                        ReinterpretMapScope scope) {
+                                        ReinterpretMapScope scope,
+                                        sparse_tensor::LoopOrderingStrategy strategy) {
   if (scope == ReinterpretMapScope::kAll ||
       scope == ReinterpretMapScope::kGenericOnly) {
-    patterns.add<GenericOpReinterpretMap, GenericOpScheduler>(
-        patterns.getContext());
+    patterns.add<GenericOpReinterpretMap>(patterns.getContext());
+    patterns.add<GenericOpScheduler>(patterns.getContext(), strategy);
   }
   if (scope == ReinterpretMapScope::kAll ||
       scope == ReinterpretMapScope::kExceptGeneric) {
diff --git a/mlir/lib/Dialect/SparseTensor/Transforms/Utils/IterationGraphSorter.cpp b/mlir/lib/Dialect/SparseTensor/Transforms/Utils/IterationGraphSorter.cpp
index c7e463a5a5b49..de71043b66d9f 100644
--- a/mlir/lib/Dialect/SparseTensor/Transforms/Utils/IterationGraphSorter.cpp
+++ b/mlir/lib/Dialect/SparseTensor/Transforms/Utils/IterationGraphSorter.cpp
@@ -6,19 +6,24 @@
 //
 //===----------------------------------------------------------------------===//
 
+#include <algorithm>
+
 #include "IterationGraphSorter.h"
 
 #include "mlir/Dialect/Linalg/IR/Linalg.h"
+#include "mlir/Dialect/SparseTensor/IR/Enums.h"
 #include "mlir/Dialect/SparseTensor/IR/SparseTensor.h"
+#include "mlir/Dialect/SparseTensor/IR/SparseTensorType.h"
 #include "mlir/Dialect/Utils/StructuredOpsUtils.h"
 #include "mlir/IR/AffineExprVisitor.h"
 #include "mlir/IR/BuiltinTypes.h"
 
+#include "llvm/Support/CommandLine.h"
+
 using namespace mlir;
 using namespace mlir::sparse_tensor;
 
 namespace {
-
 /// A helper class that visits an affine expression and tries to find
 /// an AffineDimExpr to which the corresponding iterator from a GenericOp
 /// matches the desired iterator type. If there is no matched iterator
@@ -80,7 +85,21 @@ inline static bool includesDenseOutput(SortMask mask) {
   return includesAny(mask, SortMask::kIncludeDenseOutput);
 }
 
-AffineMap IterationGraphSorter::topoSort() {
+AffineMap IterationGraphSorter::topoSort() {    
+  // Run memory analysis for strategies that can benefit from it
+  switch (getLoopOrderingStrategy()) {
+    case LoopOrderingStrategy::kMemoryAware:
+    case LoopOrderingStrategy::kSequentialFirst:
+    case LoopOrderingStrategy::kAdaptive:
+      analyzeMemoryPatterns();
+      break;
+    case LoopOrderingStrategy::kDefault:
+    case LoopOrderingStrategy::kDenseOuter:
+    case LoopOrderingStrategy::kSparseOuter:
+    case LoopOrderingStrategy::kParallelFirst:
+      break;
+  }
+
   // The sorted result will put the first Reduction iterator to the
   // latest possible position.
   std::vector<unsigned> redIt; // reduce iterator with 0 degree
@@ -96,13 +115,46 @@ AffineMap IterationGraphSorter::topoSort() {
   }
 
   SmallVector<unsigned> loopOrder;
-  while (!redIt.empty() || !parIt.empty()) {
+  while (!redIt.empty() || !parIt.empty()) {    
     // We always prefer a parallel loop over a reduction loop because putting
     // a reduction loop early might make the loop sequence inadmissible.
     auto &it = !parIt.empty() ? parIt : redIt;
-    auto src = it.back();
+    unsigned src;
+
+    switch (getLoopOrderingStrategy()) {
+      case LoopOrderingStrategy::kMemoryAware:
+        src = selectBestCandidateByMemory(it);
+        it.erase(std::find(it.begin(), it.end(), src));
+        break;
+      case LoopOrderingStrategy::kDenseOuter:
+        src = selectBestCandidateByDensity(it, true); // dense first
+        it.erase(std::find(it.begin(), it.end(), src));
+        break;
+      case LoopOrderingStrategy::kSparseOuter:
+        src = selectBestCandidateByDensity(it, false); // sparse first
+        it.erase(std::find(it.begin(), it.end(), src));
+        break;
+      case LoopOrderingStrategy::kSequentialFirst:
+        src = selectBestCandidateBySequentiality(it);
+        it.erase(std::find(it.begin(), it.end(), src));
+        break;
+      case LoopOrderingStrategy::kParallelFirst:
+        src = selectBestCandidateByParallelism(it);
+        it.erase(std::find(it.begin(), it.end(), src));
+        break;
+      case LoopOrderingStrategy::kAdaptive:
+        src = selectBestCandidateByAdaptive(it);
+        it.erase(std::find(it.begin(), it.end(), src));
+        break;
+      case LoopOrderingStrategy::kDefault:
+        // Default strategy: pick the last loop (original behavior)
+        src = it.back();
+        it.pop_back();
+        break;
+    }
+
     loopOrder.push_back(src);
-    it.pop_back();
+
     // Update in-degree, and push 0-degree node into worklist.
     for (unsigned dst = 0; dst < numLoops; dst++) {
       if (itGraph[src][dst] && --inDegree[dst] == 0) {
@@ -113,7 +165,7 @@ AffineMap IterationGraphSorter::topoSort() {
       }
     }
   }
-
+    
   // Return the topological sort on success.
   if (loopOrder.size() == numLoops)
     return AffineMap::getPermutationMap(loopOrder, out.getContext());
@@ -124,6 +176,30 @@ AffineMap IterationGraphSorter::topoSort() {
 
 IterationGraphSorter
 IterationGraphSorter::fromGenericOp(linalg::GenericOp genericOp) {
+  // Original behavior - no strategy parameter, uses default behavior
+  // Must be a demapped sparse kernel.
+  assert(!hasAnyNonIdentityOperandsOrResults(genericOp) &&
+         hasAnySparseOperandOrResult(genericOp) &&
+         genericOp.getNumDpsInits() == 1);
+
+  SmallVector<AffineMap> loopMap = genericOp.getIndexingMapsArray();
+  SmallVector<Value> ins = genericOp.getDpsInputs();
+
+  AffineMap outMap = loopMap.back();
+  loopMap.pop_back();
+
+  Value out = genericOp.getDpsInitOperand(0)->get();
+  SmallVector<utils::IteratorType> iterTypes =
+      genericOp.getIteratorTypesArray();
+
+  // Use original constructor with explicit default strategy parameter
+  return IterationGraphSorter(std::move(ins), std::move(loopMap), out, outMap,
+                              std::move(iterTypes), LoopOrderingStrategy::kDefault);
+}
+
+IterationGraphSorter
+IterationGraphSorter::fromGenericOp(linalg::GenericOp genericOp,
+                                     LoopOrderingStrategy strategy) {
   // Must be a demapped sparse kernel.
   assert(!hasAnyNonIdentityOperandsOrResults(genericOp) &&
          hasAnySparseOperandOrResult(genericOp) &&
@@ -140,14 +216,16 @@ IterationGraphSorter::fromGenericOp(linalg::GenericOp genericOp) {
       genericOp.getIteratorTypesArray();
 
   return IterationGraphSorter(std::move(ins), std::move(loopMap), out, outMap,
-                              std::move(iterTypes));
+                              std::move(iterTypes), strategy);
 }
 
 IterationGraphSorter::IterationGraphSorter(
     SmallVector<Value> &&ins, SmallVector<AffineMap> &&loop2InsLvl, Value out,
-    AffineMap loop2OutLvl, SmallVector<utils::IteratorType> &&iterTypes)
-    : ins(std::move(ins)), loop2InsLvl(std::move(loop2InsLvl)), out(out),
-      loop2OutLvl(loop2OutLvl), iterTypes(std::move(iterTypes)) {
+    AffineMap loop2OutLvl, SmallVector<utils::IteratorType> &&iterTypes,
+    LoopOrderingStrategy strategy)
+    : loopOrderingStrategy(strategy), ins(std::move(ins)),
+      loop2InsLvl(std::move(loop2InsLvl)), out(out), loop2OutLvl(loop2OutLvl),
+      iterTypes(std::move(iterTypes)) {
   // One map per tensor.
   assert(loop2InsLvl.size() == ins.size());
   // All the affine maps have the same number of dimensions (loops).
@@ -228,7 +306,7 @@ void IterationGraphSorter::addConstraints(Value t, AffineMap loop2LvlMap) {
       continue;
     }
 
-    // When both loop2LvlExpr is compound, we pick an abitrary reduction loop
+    // When both loop2LvlExpr is compound, we pick an arbitrary reduction loop
     // from lhs and rhs and use them as d_x and d_y.
     finder.walkPostOrder(fa);
     const AffineDimExpr fexp = finder.getDimExpr();
@@ -271,3 +349,907 @@ void IterationGraphSorter::addConstraints(Value t, AffineMap loop2LvlMap) {
     }
   }
 }
+
+// get encoding info (storage format, level types, etc)
+SparseTensorEncodingAttr getEncodingInfo(Value tensor) {
+  auto tensorType = dyn_cast<RankedTensorType>(tensor.getType());
+  if (!tensorType)
+    return nullptr; // Not a ranked tensor type
+  return getSparseTensorEncoding(tensorType);
+}
+
+void IterationGraphSorter::analyzeMemoryPatterns() {
+  const unsigned numLoops = getNumLoops();
+  loopMemoryAnalysis.resize(numLoops);
+
+  // Initialize memory analysis for each loop
+  for (unsigned loop = 0; loop < numLoops; ++loop) {
+    auto &memInfo = loopMemoryAnalysis[loop];
+    memInfo.totalTensorAccesses = 0;
+    memInfo.sparseAccessCost = 0;
+    memInfo.compressedSequentialAccesses.clear();
+    memInfo.randomSparseAccesses.clear();
+    memInfo.unitStrideAccesses.clear();
+    memInfo.avgStrideComplexity = 0.0;
+    memInfo.spatialLocalityScore = 0.0;
+    memInfo.temporalReuseScore = 0.0;
+    memInfo.accessPatternRand = 0.0;
+  }
+
+  // Analyze input tensors
+  for (auto [tensorIdx, tensor] : llvm::enumerate(ins)) {
+    const AffineMap &map = loop2InsLvl[tensorIdx];
+    analyzeMapForMemoryPatterns(map, tensorIdx, tensor, false);
+  }
+
+  // Analyze output tensor
+  analyzeMapForMemoryPatterns(loop2OutLvl, ins.size(), out, true);
+
+  // Compute final scores without architecture assumptions
+  for (unsigned loop = 0; loop < numLoops; ++loop) {
+    computeArchitectureScore(loop);
+  }
+}
+
+IterationGraphSorter::SparseAccessPattern
+IterationGraphSorter::analyzeSparseAccessPattern(
+    AffineMap map, unsigned dim, unsigned loopIdx,
+    SparseTensorEncodingAttr encoding, unsigned tensorIdx) {
+
+  SparseAccessPattern pattern;
+
+  // Get the level types for this encoding
+  auto lvlTypes = encoding.getLvlTypes();
+  if (dim >= lvlTypes.size()) {
+    pattern.type = IterationGraphSorter::SparseAccessType::kRandomSparse;
+    pattern.expectedSparsity = 0.01;
+    pattern.memoryIndirections = 3;
+    pattern.hasGoodLocality = false;
+    return pattern;
+  }
+
+  LevelType levelType = lvlTypes[dim];
+  AffineExpr dimExpr = map.getResult(dim);
+
+  // Analyze the affine expression for this dimension
+  if (auto dimExprCast = dyn_cast<AffineDimExpr>(dimExpr)) {
+    // Simple case: dimension expression is just a loop variable
+    if (dimExprCast.getPosition() == loopIdx) {
+
+      if (isCompressedLT(levelType)) {
+        // Sequential access through compressed dimension
+        pattern.type = SparseAccessType::kCompressedSequential;
+        pattern.expectedSparsity = 1.0;
+        pattern.memoryIndirections = 1;
+        pattern.hasGoodLocality = true;
+      } else if (isSingletonLT(levelType)) {
+        // Sequential scan through singleton dimension
+        pattern.type = SparseAccessType::kSingletonScan;
+        pattern.expectedSparsity = 0.1;
+        pattern.memoryIndirections = 2;
+        pattern.hasGoodLocality = false;
+      } else {
+        // Dense level
+        pattern.type = SparseAccessType::kDenseSubtensor;
+        pattern.expectedSparsity = 1.0;
+        pattern.memoryIndirections = 1;
+        pattern.hasGoodLocality = true;
+      }
+    } else {
+      // Loop variable doesn't match this dimension
+      pattern.type = IterationGraphSorter::SparseAccessType::kRandomSparse;
+      pattern.expectedSparsity = 0.01;
+      pattern.memoryIndirections = 3;
+      pattern.hasGoodLocality = false;
+    }
+  } else {
+    // Complex affine expression - generally bad for sparse access
+    pattern.type = IterationGraphSorter::SparseAccessType::kRandomSparse;
+    pattern.expectedSparsity = 0.01;
+    pattern.memoryIndirections = 3;
+    pattern.hasGoodLocality = false;
+  }
+
+  return pattern;
+}
+
+void IterationGraphSorter::analyzeMapForMemoryPatterns(AffineMap map,
+                                                       unsigned tensorIdx,
+                                                       Value tensor,
+                                                       bool isOutput) {
+
+  auto encoding = getEncodingInfo(tensor);
+  bool isSparse = static_cast<bool>(encoding);
+
+  const unsigned tensorRank = map.getNumResults();
+
+  for (unsigned dim = 0; dim < tensorRank; ++dim) {
+    AffineExpr dimExpr = map.getResult(dim);
+
+    AffineDimCollector collector;
+    collector.walkPostOrder(dimExpr);
+
+   ...
[truncated]

@aartbik
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aartbik commented Aug 4, 2025

Thanks for your PR. Please allow me a few days for the review.

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First round, the one comment in the sorter file is the most important feedback

@@ -55,6 +55,33 @@ enum class SparseEmitStrategy {
kDebugInterface, // generate only place-holder for sparse iteration
};

namespace sparse_tensor {
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newline after namespace

@@ -55,6 +55,33 @@ enum class SparseEmitStrategy {
kDebugInterface, // generate only place-holder for sparse iteration
};

namespace sparse_tensor {
/// Select between different loop ordering strategies.
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Selects between (style in this module is that method comments use the s-form for verbs)

/// Select between different loop ordering strategies.
/// Loop ordering strategies for sparse tensor compilation.
/// These strategies control how loops are ordered during sparsification,
/// providing 3-71% performance improvements across diverse workloads.
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Remove this comment. Although I like to see numbers, such precise numbers should not be in the switch documentation since they are extremely workload and target arch dependent

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Just saying that each switch may favor particular situations differently suffices

/// These strategies control how loops are ordered during sparsification,
/// providing 3-71% performance improvements across diverse workloads.
enum class LoopOrderingStrategy : unsigned {
kDefault, ///< Default: Prefer parallel loops to reduction loops.
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What is this ///< style

(I am not familiar with that, apologies if this is standard)

@@ -89,23 +117,27 @@ std::unique_ptr<Pass> createPreSparsificationRewritePass();
// The Sparsification pass.
//===----------------------------------------------------------------------===//

using sparse_tensor::LoopOrderingStrategy;
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there are not many instances following, so I have a slight preference just using the namespace below

LoopOrderingStrategy is something that could easily refer to some other module, so having the namespace helps with that mental note


/// Factory method that constructs an iteration graph sorter
/// for the given linalg.generic operation with the specified loop ordering strategy.
static IterationGraphSorter fromGenericOp(linalg::GenericOp genericOp,
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is it really necessary to have two? I would much rather see the original behavior as part of the single factory

I understand this organization from your point of view (easy to revert back to old behavior without changes), but going forward it really does not make sense to have a "classic" and "improved" mode

that is what git history is for ;-)


private:

// Add these fields to your LoopMemoryInfo struct:
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who is this a note to?!

double temporalReuseScore;
double accessPatternRand;

// Dense tensor access patterns
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Here and elsewhere, period at end of every comment (except for "inline" comments)

return getSparseTensorEncoding(tensorType);
}

void IterationGraphSorter::analyzeMemoryPatterns() {
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This is a massive block of code that is impossible for me to review without background. Do you have a design doc of the strategies that you implemented? Where do all the hardcoded values come from? What very particular case have you been optimizing for (e.g. x86?). Will these strategies generalize to other situations, CPU, GPU, etc.

I really need some more guidance on your design to be able to give you feedback on the actual code.

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+1, Maybe it would help by dividing the PR into multiple ones by strategy.

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And +1 on Peiming's suggestion of breaking the PR up. The very first could introduce just the flag and some basic infrastructure (to get the boilerplate out of the way). Then each next one could add more and more strategies.

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Sorry for a lot of the simple issues throughout the code and thank you both for taking the time to give me feedback. I'll definitely go ahead to try to break the PR up.

As for my design I didn't put much thought in, as seen with a lot of the magic constants. I was hoping to begin by getting a bunch of heuristics that may or may not be beneficial and then benchmark and tune some of the numbers, at which point hopefully the results make more sense. But I got stuck trying to figure out how to properly benchmark it, what kinds of test cases to use, and things like that.

I was wondering if this idea makes sense. If so I was thinking I could start with a PR with just the flag and basic infrastructure, then implement some of the simple heuristics, like sparse outer or dense outer. And then make a PR for each flag from that point onwards. At some point I wanted to have an adaptive flag that will pick up characteristics of the tensor and then determine which heuristic might be better to prefer.

Would you guys recommend a large refactor?

But honestly I'm still pretty confused and this is my first time ever submitting a PR, so once again thanks for all the feedback.

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TBH, I am not convinced that the current implementation is desired: the heuristics (especially the implementation) is not intuitive.

Personally, I would prefer a much simpler set of strategies here: the purpose of this pass is mostly serving as a PoC to showcase how picking different loop scheduling can affect performance. And downstream users can easily implement a scheduler according to their own needs.

Comment on lines +789 to +791
score += 100; // Big bonus for parallel
} else {
score -= 50; // Penalty for reduction
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How did you come up with these magic number?

Comment on lines +804 to +808
if (enc && lvl < enc.getLvlTypes().size()) {
auto lvlType = enc.getLvlTypes()[lvl];
if (isDenseLT(lvlType)) {
score += 5;
}
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So, you are preferring loops with "more" dense access? Why the heuristics?

Comment on lines +801 to +802
if (auto dimExpr = dyn_cast<AffineDimExpr>(lvlExpr)) {
unsigned lvl = dimExpr.getPosition();
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nit: maybe considering renaming dimExpr to affineDimExpr? DimExpr is a highly overloaded term in the sparse compiler (unfortunately).

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4 participants