[Fix] tilelang can now vectorize B[i,j] = c[i] + A[i,j] (#798)

* Fix bug 0905: vectorize with broadcasted value

* fix lint error

* [Refactor] Use `tvm::tir::UseVar` and use Vectorizer

* Add loop size check in vectorize planner

* fix lint error

Author: kurisu6912

src/transform/loop_vectorize.cc

@@ -24,17 +24,14 @@
 
 #include "loop_vectorize.h"
 
-#include <tvm/arith/iter_affine_map.h>
-#include <tvm/tir/builtin.h>
-#include <tvm/tir/stmt_functor.h>
-
-#include <numeric>
-
-#include "../layout/layout.h"
-#include "../layout/utils.h"
 #include "arith/int_operator.h"
 #include "arith/ir_visitor_with_analyzer.h"
 #include "common/loop_vectorization_utils.h"
+#include "tvm/tir/analysis.h"
+#include "tvm/tir/var.h"
+#include <tvm/arith/iter_affine_map.h>
+#include <tvm/tir/builtin.h>
+#include <tvm/tir/stmt_functor.h>
 
 namespace tvm {
 namespace tl {
@@ -56,15 +53,18 @@ class VectorizePlanner : public arith::IRVisitorWithAnalyzer {
     return vector_size_;
   }
 
-  bool GetDynamic() { return dynamic_; }
-
-  PrimExpr GetCondition() { return condition_; }
-
 private:
   void VisitStmt_(const ForNode *node) final {
     inner_for_ = node;
-    iter_map_.Set(node->loop_var, Range(node->min, node->extent));
-
+    auto extent_ptr = as_const_int(node->extent);
+    // Here I disable dynamic shape completely,
+    //   In order to do it, the Planner should accept an analyzer with
+    //   arithmetic info outside to prove the dividiblity of vector size
+    if (!extent_ptr) {
+      vector_size_ = 1;
+      return;
+    }
+    vector_size_ = arith::ZeroAwareGCD(vector_size_, *extent_ptr);
     arith::IRVisitorWithAnalyzer::VisitStmt_(node);
   }
 
@@ -113,76 +113,47 @@ class VectorizePlanner : public arith::IRVisitorWithAnalyzer {
   void UpdateVectorSize(const Array<PrimExpr> &indices, const Buffer &buffer) {
     if (!inner_for_)
       return;
-    auto extent_ptr = inner_for_->extent.as<IntImmNode>();
-    if (!extent_ptr)
+    // 1. Compute raw element offset
+    auto strides = buffer->strides;
+    if (buffer->strides.empty()) {
+      PrimExpr stride = 1;
+      for (int i = indices.size() - 1; i >= 0; --i) {
+        strides.push_back(stride);
+        stride = stride * buffer->shape[i];
+      }
+      strides = Array<PrimExpr>{strides.rbegin(), strides.rend()};
+    }
+    PrimExpr elem_offset = 0;
+    for (int i = 0; i < indices.size(); ++i) {
+      elem_offset += indices[i] * strides[i];
+    }
+
+    // 2. If element offset is independent with loop_var, ignore it
+    if (CanProveIndependent(elem_offset, inner_for_->loop_var, &analyzer_)) {
       return;
+    }
 
-    const DataType &access_type = buffer->dtype;
-    // i // 2, i % 8 can also be vectorized as factor 16
-    int max_vector_size = vector_load_bits_max_ / access_type.bits();
-    // so we should disable this GCD optimization
-    max_vector_size = arith::ZeroAwareGCD(max_vector_size, extent_ptr->value);
-    auto last_dim = buffer->shape.back();
-    auto mod_set = analyzer_.modular_set(last_dim);
-    // when dynamic shape like [m, k]: coeff=1, base=0, GCD will block
-    // conditionally tail vectorize
-    if (buffer->shape.back().as<IntImmNode>()) {
-      max_vector_size = arith::ZeroAwareGCD(max_vector_size, mod_set->coeff);
-      auto gcd_base = arith::ZeroAwareGCD(max_vector_size, mod_set->base);
-      // If gcd_base is equal to the last dimension,
-      // we should analyze the second-to-last dimension
-      // in relation to the last dimension.
-      if (gcd_base < Downcast<IntImm>(last_dim)->value) {
-        max_vector_size = gcd_base;
-      }
-      vector_size_ = arith::ZeroAwareGCD(max_vector_size, vector_size_);
-
-      // Generate strides if not existed
-      auto strides = buffer->strides;
-      if (buffer->strides.empty()) {
-        PrimExpr stride = 1;
-        for (int i = indices.size() - 1; i >= 0; --i) {
-          strides.push_back(stride);
-          stride = stride * buffer->shape[i];
-        }
-        strides = Array<PrimExpr>{strides.rbegin(), strides.rend()};
-      }
+    // 3. Tight vectorize bound
+    vector_size_ = arith::ZeroAwareGCD(vector_size_, vector_load_bits_max_ /
+                                                         buffer->dtype.bits());
 
-      // Generate and check element offset expression
-      ICHECK(indices.size() == strides.size()) << "Invalid indices and strides";
-      PrimExpr elem_offset = 0;
-      for (int i = 0; i < indices.size(); ++i) {
-        elem_offset += indices[i] * strides[i];
-      }
-      while (!IndiceCanVectorize(elem_offset, inner_for_->loop_var,
-                                 inner_for_->extent, vector_size_,
-                                 &analyzer_)) {
-        vector_size_ /= 2;
-      }
-    } else if (vector_size_ <= vector_load_bits_max_ / buffer->dtype.bits()) {
-      // dynamic shape load: get the vectorization condition
-      dynamic_ = true;
-      PrimExpr offset = buffer.OffsetOf(indices).back();
-      condition_ = (FloorMod(offset, vector_size_) == 0);
+    // 4. Try to vectorize buffer load
+    while (!IndiceCanVectorize(elem_offset, inner_for_->loop_var,
+                               inner_for_->extent, vector_size_, &analyzer_)) {
+      vector_size_ /= 2;
     }
   }
 
   const int vector_load_bits_max_ = 128;
 
   const ForNode *inner_for_{};
-  Map<Var, Range> iter_map_;
   bool has_nonlocal_memory_access_ = false;
   int vector_size_ = 128;
-  // conditionally vectorize
-  bool dynamic_ = false;
-  PrimExpr condition_;
 };
 
 class VectorizeRewriter : public StmtExprMutator {
 public:
-  VectorizeRewriter(const VectorizePlanResult &plan)
-      : vector_size_(plan.vector_size), condition_(plan.condition),
-        dynamic_(plan.dynamic) {}
+  VectorizeRewriter(int vector_size) : vector_size_(vector_size) {}
 
 private:
   Stmt VisitStmt_(const ForNode *node) final {
@@ -197,23 +168,19 @@ class VectorizeRewriter : public StmtExprMutator {
       ICHECK(extent % vector_size_ == 0)
           << "extent: " << extent << " vector_size_: " << vector_size_;
       ICHECK(is_zero(fnode->min));
-      if (!dynamic_) { // check dynamic shape
-        if (extent == vector_size_) {
-          fnode.CopyOnWrite()->kind = ForKind::kVectorized;
-          return fnode;
-        } else {
-          Var inner_var = Var("vec");
-          Var outer_var = Var(old_var->name_hint);
-          Map<Var, PrimExpr> vmap;
-          vmap.Set(fnode->loop_var, outer_var * vector_size_ + inner_var);
-          Stmt body = Substitute(fnode->body, vmap);
-          body = For(inner_var, 0, vector_size_, ForKind::kVectorized, body);
-          body = For(outer_var, 0, extent / vector_size_, fnode->kind, body,
-                     fnode->thread_binding, fnode->annotations, fnode->span);
-          return body;
-        }
-      } else {
+      if (extent == vector_size_) {
+        fnode.CopyOnWrite()->kind = ForKind::kVectorized;
         return fnode;
+      } else {
+        Var inner_var = Var("vec");
+        Var outer_var = Var(old_var->name_hint);
+        Map<Var, PrimExpr> vmap;
+        vmap.Set(fnode->loop_var, outer_var * vector_size_ + inner_var);
+        Stmt body = Substitute(fnode->body, vmap);
+        body = For(inner_var, 0, vector_size_, ForKind::kVectorized, body);
+        body = For(outer_var, 0, extent / vector_size_, fnode->kind, body,
+                   fnode->thread_binding, fnode->annotations, fnode->span);
+        return body;
       }
     } else {
       return ret;
@@ -222,18 +189,25 @@ class VectorizeRewriter : public StmtExprMutator {
 
   const ForNode *inner_for_{};
   const int vector_size_;
-  const PrimExpr condition_;
-  const bool dynamic_;
 };
 
 int GetVectorizeSize(const For &loop) { return VectorizePlanner().Plan(loop); }
 
-VectorizePlanResult GetVectorizePlanResult(const For &loop) {
-  VectorizePlanner planner;
-  int vector_size = planner.Plan(loop);
-  bool dynamic = planner.GetDynamic();
-  PrimExpr condition = planner.GetCondition();
-  return {vector_size, dynamic, condition};
+bool CanProveIndependent(const PrimExpr &expr, Var var,
+                         arith::Analyzer *analyzer) {
+  // 1. if var doesn't exist, it is independent
+  bool used_var = UsesVar(
+      expr, [&](const VarNode *v) { return GetRef<Var>(v).same_as(var); });
+  if (!used_var) {
+    return true;
+  }
+  // 2. if \forall v_1, v_2, f(v_1) == f(v_2), f is independent with v
+  Var var_1("_t", var.dtype());
+  auto expr_1 = Substitute(expr, {{var, var_1}});
+  if (analyzer->CanProveEqual(expr, expr_1)) {
+    return true;
+  }
+  return false;
 }
 
 bool IndiceCanVectorize(const PrimExpr &expr, Var var,
@@ -280,14 +254,13 @@ bool IndiceCanVectorize(const PrimExpr &expr, Var var,
 }
 
 For VectorizeLoop(const For &loop, int vectorize_hint) {
-  VectorizePlanResult res{128, false, 0};
   if (vectorize_hint <= 0) {
-    res = GetVectorizePlanResult(loop);
-    vectorize_hint = res.vector_size;
+    VectorizePlanner planner;
+    vectorize_hint = planner.Plan(loop);
   }
   if (vectorize_hint == 1)
     return loop;
-  auto rewriter = VectorizeRewriter(res);
+  auto rewriter = VectorizeRewriter(vectorize_hint);
   return Downcast<For>(rewriter(loop));
 }
 

src/transform/loop_vectorize.h

@@ -37,6 +37,10 @@ int GetVectorizeSize(const For &loop);
 
 For VectorizeLoop(const For &loop, int vectorize_hint = -1);
 
+// Can prove expr is independent with var, i.e. the value of expr doesn't change
+// when var changes
+bool CanProveIndependent(const PrimExpr &expr, Var var,
+                         arith::Analyzer *analyzer);
 bool IndiceCanVectorize(const PrimExpr &expr, Var var,
                         const PrimExpr &iter_var_size,
                         int target_vectorized_size, arith::Analyzer *analyzer);