HappenLee commented on code in PR #63499:
URL: https://github.com/apache/doris/pull/63499#discussion_r3286656973


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be/src/exprs/aggregate/aggregate_function_ema.h:
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@@ -0,0 +1,173 @@
+// 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.
+
+// This file is adapted from
+// 
https://github.com/ClickHouse/ClickHouse/blob/master/src/AggregateFunctions/AggregateFunctionExponentialMovingAverage.cpp
+
+#pragma once
+
+#include <cmath>
+#include <memory>
+
+#include "core/assert_cast.h"
+#include "core/column/column_vector.h"
+#include "core/data_type/data_type_number.h"
+#include "core/types.h"
+#include "exprs/aggregate/aggregate_function.h"
+
+namespace doris {
+class Arena;
+class BufferReadable;
+class BufferWritable;
+class IColumn;
+
+/**
+ * Exponentially smoothed moving average over time.
+ *
+ * Each value corresponds to a timeunit index. The half_decay parameter is the
+ * time lag at which exponential weights decay by one-half.
+ *
+ * State is a (value, time) pair representing the exponentially accumulated sum
+ * at a reference time. To get the average, divide by sumWeights(half_decay).
+ *
+ * Formula:
+ *   scale(dt, x) = 2^(-dt/x)
+ *   sumWeights(x) = 1 / (1 - 2^(-1/x))
+ *   add(v, t): merge current state with point (v, t)
+ *   merge(a, b): move both to the later time, then sum values
+ *   get():  value / sumWeights(half_decay)
+ *
+ * Usage: exponential_moving_average(half_decay, value, timeunit)
+ *   - half_decay: constant double, the half-life period in timeunit units
+ *   - value:      numeric column to average
+ *   - timeunit:   numeric time index (not raw timestamp; use intDiv if needed)
+ * Returns DOUBLE.
+ */
+struct ExponentialMovingAverageData {
+    double value = 0.0;
+    double time = 0.0;
+    double half_decay = 0.0;
+
+    static double scale(double time_passed, double hd) { return 
std::exp2(-time_passed / hd); }
+
+    static double sum_weights(double hd) { return 1.0 / (1.0 - std::exp2(-1.0 
/ hd)); }
+
+    void add(double new_value, double current_time, double hd) {
+        half_decay = hd;
+        ExponentialMovingAverageData other;
+        other.value = new_value;
+        other.time = current_time;
+        merge_point(other, hd);
+    }
+
+    void merge_point(const ExponentialMovingAverageData& other, double hd) {

Review Comment:
   这里没什么意义,原始实现如此



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