yahoNanJing commented on code in PR #4043:
URL: https://github.com/apache/arrow-datafusion/pull/4043#discussion_r1013554279


##########
datafusion/physical-expr/src/equivalence.rs:
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@@ -0,0 +1,256 @@
+// Licensed to the Apache Software Foundation (ASF) under one
+// or more contributor license agreements.  See the NOTICE file
+// distributed with this work for additional information
+// regarding copyright ownership.  The ASF licenses this file
+// to you under the Apache License, Version 2.0 (the
+// "License"); you may not use this file except in compliance
+// with the License.  You may obtain a copy of the License at
+//
+//   http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing,
+// software distributed under the License is distributed on an
+// "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+// KIND, either express or implied.  See the License for the
+// specific language governing permissions and limitations
+// under the License.
+
+use crate::expressions::Column;
+
+use arrow::datatypes::SchemaRef;
+
+use std::collections::HashMap;
+use std::collections::HashSet;
+
+/// Equivalence Properties is a vec of EquivalentClass.
+#[derive(Debug, Default, Clone)]
+pub struct EquivalenceProperties {
+    classes: Vec<EquivalentClass>,
+}
+
+impl EquivalenceProperties {
+    pub fn new() -> Self {
+        EquivalenceProperties { classes: vec![] }
+    }
+
+    pub fn classes(&self) -> &[EquivalentClass] {
+        &self.classes
+    }
+
+    pub fn extend<I: IntoIterator<Item = EquivalentClass>>(&mut self, iter: I) 
{
+        self.classes.extend(iter)
+    }
+
+    /// Add new equal conditions into the EquivalenceProperties, the new equal 
conditions are usually comming from the
+    /// equality predicates in Join or Filter
+    pub fn add_equal_conditions(&mut self, new_conditions: (&Column, &Column)) 
{
+        let mut idx1: Option<usize> = None;
+        let mut idx2: Option<usize> = None;

Review Comment:
   An option is much more correct now



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