[mlir][Interfaces][NFC] ValueBoundsConstraintSet: Add columns for constant values/dims

`ValueBoundsConstraintSet` maintains an internal constraint set (`IntegerRelation`), where every analyzed index-typed SSA value or dimension of a shaped type is represented with a dimension/symbol. Prior to this change, index-typed values with a statically known constant value and static shaped type dimensions were not added to the constraint set. Instead, `getExpr` directly returned an affine constrant expression.

With this commit, dynamic and static values/dimension sizes are treated in the same way: in either case, a dimension/symbol is added to the constraint set. This is needed for a subsequent commit that adds support for branches.

Author: matthias-springer

mlir/include/mlir/Interfaces/ValueBoundsOpInterface.h

@@ -295,14 +295,19 @@ class ValueBoundsConstraintSet
   /// value/dimension exists in the constraint set.
   int64_t getPos(Value value, std::optional<int64_t> dim = std::nullopt) const;
 
+  /// Return an affine expression that represents column `pos` in the constraint
+  /// set.
+  AffineExpr getPosExpr(int64_t pos);
+
   /// Insert a value/dimension into the constraint set. If `isSymbol` is set to
   /// "false", a dimension is added. The value/dimension is added to the
-  /// worklist.
+  /// worklist if `addToWorklist` is set.
   ///
   /// Note: There are certain affine restrictions wrt. dimensions. E.g., they
   /// cannot be multiplied. Furthermore, bounds can only be queried for
   /// dimensions but not for symbols.
-  int64_t insert(Value value, std::optional<int64_t> dim, bool isSymbol = true);
+  int64_t insert(Value value, std::optional<int64_t> dim, bool isSymbol = true,
+                 bool addToWorklist = true);
 
   /// Insert an anonymous column into the constraint set. The column is not
   /// bound to any value/dimension. If `isSymbol` is set to "false", a dimension

mlir/lib/Interfaces/ValueBoundsOpInterface.cpp

@@ -110,25 +110,47 @@ AffineExpr ValueBoundsConstraintSet::getExpr(Value value,
   assertValidValueDim(value, dim);
 #endif // NDEBUG
 
+  // Check if the value/dim is statically known. In that case, an affine
+  // constant expression should be returned. This allows us to support
+  // multiplications with constants. (Multiplications of two columns in the
+  // constraint set is not supported.)
+  std::optional<int64_t> constSize = std::nullopt;
   auto shapedType = dyn_cast<ShapedType>(value.getType());
   if (shapedType) {
-    // Static dimension: return constant directly.
     if (shapedType.hasRank() && !shapedType.isDynamicDim(*dim))
-      return builder.getAffineConstantExpr(shapedType.getDimSize(*dim));
-  } else {
-    // Constant index value: return directly.
-    if (auto constInt = ::getConstantIntValue(value))
-      return builder.getAffineConstantExpr(*constInt);
+      constSize = shapedType.getDimSize(*dim);
+  } else if (auto constInt = ::getConstantIntValue(value)) {
+    constSize = *constInt;
   }
 
-  // Dynamic value: add to constraint set.
+  // If the value/dim is already mapped, return the corresponding expression
+  // directly.
   ValueDim valueDim = std::make_pair(value, dim.value_or(kIndexValue));
-  if (!valueDimToPosition.contains(valueDim))
-    (void)insert(value, dim);
-  int64_t pos = getPos(value, dim);
-  return pos < cstr.getNumDimVars()
-             ? builder.getAffineDimExpr(pos)
-             : builder.getAffineSymbolExpr(pos - cstr.getNumDimVars());
+  if (valueDimToPosition.contains(valueDim)) {
+    // If it is a constant, return an affine constant expression. Otherwise,
+    // return an affine expression that represents the respective column in the
+    // constraint set.
+    if (constSize)
+      return builder.getAffineConstantExpr(*constSize);
+    return getPosExpr(getPos(value, dim));
+  }
+
+  if (constSize) {
+    // Constant index value/dim: add column to the constraint set, add EQ bound
+    // and return an affine constant expression without pushing the newly added
+    // column to the worklist.
+    (void)insert(value, dim, /*isSymbol=*/true, /*addToWorklist=*/false);
+    if (shapedType)
+      bound(value)[*dim] == *constSize;
+    else
+      bound(value) == *constSize;
+    return builder.getAffineConstantExpr(*constSize);
+  }
+
+  // Dynamic value/dim: insert column to the constraint set and put it on the
+  // worklist. Return an affine expression that represents the newly inserted
+  // column in the constraint set.
+  return getPosExpr(insert(value, dim, /*isSymbol=*/true));
 }
 
 AffineExpr ValueBoundsConstraintSet::getExpr(OpFoldResult ofr) {
@@ -145,7 +167,7 @@ AffineExpr ValueBoundsConstraintSet::getExpr(int64_t constant) {
 
 int64_t ValueBoundsConstraintSet::insert(Value value,
                                          std::optional<int64_t> dim,
-                                         bool isSymbol) {
+                                         bool isSymbol, bool addToWorklist) {
 #ifndef NDEBUG
   assertValidValueDim(value, dim);
 #endif // NDEBUG
@@ -160,7 +182,12 @@ int64_t ValueBoundsConstraintSet::insert(Value value,
     if (positionToValueDim[i].has_value())
       valueDimToPosition[*positionToValueDim[i]] = i;
 
-  worklist.push(pos);
+  if (addToWorklist) {
+    LLVM_DEBUG(llvm::dbgs() << "Push to worklist: " << value
+                            << " (dim: " << dim.value_or(kIndexValue) << ")\n");
+    worklist.push(pos);
+  }
+
   return pos;
 }
 
@@ -190,6 +217,13 @@ int64_t ValueBoundsConstraintSet::getPos(Value value,
   return it->second;
 }
 
+AffineExpr ValueBoundsConstraintSet::getPosExpr(int64_t pos) {
+  assert(pos >= 0 && pos < cstr.getNumDimAndSymbolVars() && "invalid position");
+  return pos < cstr.getNumDimVars()
+             ? builder.getAffineDimExpr(pos)
+             : builder.getAffineSymbolExpr(pos - cstr.getNumDimVars());
+}
+
 static Operation *getOwnerOfValue(Value value) {
   if (auto bbArg = dyn_cast<BlockArgument>(value))
     return bbArg.getOwner()->getParentOp();