cloud-fan commented on code in PR #37851:
URL: https://github.com/apache/spark/pull/37851#discussion_r969688531


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sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/Expression.scala:
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@@ -1176,3 +1161,21 @@ trait ComplexTypeMergingExpression extends Expression {
 trait UserDefinedExpression {
   def name: String
 }
+
+trait CommutativeExpression extends Expression {
+  /** Collects adjacent commutative operations. */
+  private def gatherCommutative(
+      e: Expression,
+      f: PartialFunction[CommutativeExpression, Seq[Expression]]): 
Seq[Expression] = e match {
+    case c: CommutativeExpression if f.isDefinedAt(c) => 
f(c).flatMap(gatherCommutative(_, f))
+    case other => other.canonicalized :: Nil
+  }
+
+  /**
+   * Reorders adjacent commutative operators such as [[And]] in the expression 
tree, according to
+   * the `hashCode` of non-commutative nodes, to remove cosmetic variations.
+   */
+  protected def orderCommutative(
+      f: PartialFunction[CommutativeExpression, Seq[Expression]]): 
Seq[Expression] =
+    gatherCommutative(this, f).sortBy(_.hashCode())

Review Comment:
   nit:
   ```
   protected def isSameOperator(e: CommutativeExpression): Boolean
   
   protected def rebuildCommutativeOperators(input: Seq[Expression]): Expression
   
   private def gatherCommutative(e: Expression): Seq[Expression] = {
     if (isSameOperator(e)) e.children.flatMap(gatherCommutative) else 
Seq(e.canonicalized)
   }
   
   override lazy val canonicalized: Expression = {
     val commutativeOperands = gatherCommutative(this)
     rebuildCommutativeOperators(commutativeOperands.sortBy(_.hashCode()))
   }
   ```



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