Github user viirya commented on a diff in the pull request:

    https://github.com/apache/spark/pull/15544#discussion_r139876729
  
    --- Diff: 
sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/aggregate/ApproxCountDistinctForIntervals.scala
 ---
    @@ -0,0 +1,235 @@
    +/*
    + * 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.
    + */
    +
    +package org.apache.spark.sql.catalyst.expressions.aggregate
    +
    +import java.util
    +
    +import org.apache.spark.sql.catalyst.InternalRow
    +import org.apache.spark.sql.catalyst.analysis.TypeCheckResult
    +import 
org.apache.spark.sql.catalyst.analysis.TypeCheckResult.{TypeCheckFailure, 
TypeCheckSuccess}
    +import org.apache.spark.sql.catalyst.expressions.{AttributeReference, 
ExpectsInputTypes, Expression}
    +import org.apache.spark.sql.catalyst.util.{ArrayData, GenericArrayData, 
HyperLogLogPlusPlusHelper}
    +import org.apache.spark.sql.types._
    +
    +/**
    + * This function counts the approximate number of distinct values (ndv) in
    + * intervals constructed from endpoints specified in 
`endpointsExpression`. The endpoints should be
    + * sorted into ascending order. E.g., given an array of endpoints
    + * (endpoint_1, endpoint_2, ... endpoint_N), returns the approximate ndv's 
for intervals
    + * [endpoint_1, endpoint_2], (endpoint_2, endpoint_3], ... (endpoint_N-1, 
endpoint_N].
    + * To count ndv's in these intervals, apply the HyperLogLogPlusPlus 
algorithm in each of them.
    + * @param child to estimate the ndv's of.
    + * @param endpointsExpression to construct the intervals, should be sorted 
into ascending order.
    --- End diff --
    
    `An array expression with `NumericType` element to construct the intervals 
.... Must be foldable.`


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