feyman2016 commented on a change in pull request #8832:
URL: https://github.com/apache/kafka/pull/8832#discussion_r437529829



##########
File path: 
streams/src/main/java/org/apache/kafka/streams/processor/internals/StreamsPartitionAssignor.java
##########
@@ -147,6 +147,46 @@ public String toString() {
         }
     }
 
+    /**
+     * TopicNode is the a topic node abstraction for graph built with 
TopicNode and TopicsInfo, the graph is useful

Review comment:
       Fixed

##########
File path: 
streams/src/main/java/org/apache/kafka/streams/processor/internals/StreamsPartitionAssignor.java
##########
@@ -147,6 +147,46 @@ public String toString() {
         }
     }
 
+    /**
+     * TopicNode is the a topic node abstraction for graph built with 
TopicNode and TopicsInfo, the graph is useful

Review comment:
       Updated

##########
File path: 
streams/src/main/java/org/apache/kafka/streams/processor/internals/StreamsPartitionAssignor.java
##########
@@ -513,66 +553,94 @@ private boolean checkMetadataVersions(final int 
minReceivedMetadataVersion,
      */
     private void setRepartitionTopicMetadataNumberOfPartitions(final 
Map<String, InternalTopicConfig> repartitionTopicMetadata,
                                                                final 
Map<Integer, TopicsInfo> topicGroups,
-                                                               final Cluster 
metadata) {
-        boolean numPartitionsNeeded;
-        do {
-            numPartitionsNeeded = false;
-
-            for (final TopicsInfo topicsInfo : topicGroups.values()) {
-                for (final String topicName : 
topicsInfo.repartitionSourceTopics.keySet()) {
-                    final Optional<Integer> maybeNumPartitions = 
repartitionTopicMetadata.get(topicName)
-                                                                     
.numberOfPartitions();
-                    Integer numPartitions = null;
-
-                    if (!maybeNumPartitions.isPresent()) {
-                        // try set the number of partitions for this 
repartition topic if it is not set yet
-                        for (final TopicsInfo otherTopicsInfo : 
topicGroups.values()) {
-                            final Set<String> otherSinkTopics = 
otherTopicsInfo.sinkTopics;
-
-                            if (otherSinkTopics.contains(topicName)) {
-                                // if this topic is one of the sink topics of 
this topology,
-                                // use the maximum of all its source topic 
partitions as the number of partitions
-                                for (final String sourceTopicName : 
otherTopicsInfo.sourceTopics) {
-                                    Integer numPartitionsCandidate = null;
-                                    // It is possible the sourceTopic is 
another internal topic, i.e,
-                                    // map().join().join(map())
-                                    if 
(repartitionTopicMetadata.containsKey(sourceTopicName)) {
-                                        if 
(repartitionTopicMetadata.get(sourceTopicName).numberOfPartitions().isPresent())
 {
-                                            numPartitionsCandidate =
-                                                
repartitionTopicMetadata.get(sourceTopicName).numberOfPartitions().get();
-                                        }
-                                    } else {
-                                        final Integer count = 
metadata.partitionCountForTopic(sourceTopicName);
-                                        if (count == null) {
-                                            throw new IllegalStateException(
-                                                "No partition count found for 
source topic "
-                                                    + sourceTopicName
-                                                    + ", but it should have 
been."
-                                            );
-                                        }
-                                        numPartitionsCandidate = count;
-                                    }
-
-                                    if (numPartitionsCandidate != null) {
-                                        if (numPartitions == null || 
numPartitionsCandidate > numPartitions) {
-                                            numPartitions = 
numPartitionsCandidate;
-                                        }
-                                    }
-                                }
-                            }
-                        }
-
-                        // if we still have not found the right number of 
partitions,
-                        // another iteration is needed
-                        if (numPartitions == null) {
-                            numPartitionsNeeded = true;
-                        } else {
-                            
repartitionTopicMetadata.get(topicName).setNumberOfPartitions(numPartitions);
-                        }
-                    }
+                                                                final Cluster 
metadata) {

Review comment:
       fixed

##########
File path: 
streams/src/main/java/org/apache/kafka/streams/processor/internals/StreamsPartitionAssignor.java
##########
@@ -147,6 +147,46 @@ public String toString() {
         }
     }
 
+    /**
+     * TopicNode is the a topic node abstraction for graph built with 
TopicNode and TopicsInfo, the graph is useful
+     * when in certain cases traverse is needed. For example, method 
setRepartitionTopicMetadataNumberOfPartitions

Review comment:
       Updated

##########
File path: 
streams/src/main/java/org/apache/kafka/streams/processor/internals/StreamsPartitionAssignor.java
##########
@@ -513,66 +553,94 @@ private boolean checkMetadataVersions(final int 
minReceivedMetadataVersion,
      */
     private void setRepartitionTopicMetadataNumberOfPartitions(final 
Map<String, InternalTopicConfig> repartitionTopicMetadata,
                                                                final 
Map<Integer, TopicsInfo> topicGroups,
-                                                               final Cluster 
metadata) {
-        boolean numPartitionsNeeded;
-        do {
-            numPartitionsNeeded = false;
-
-            for (final TopicsInfo topicsInfo : topicGroups.values()) {
-                for (final String topicName : 
topicsInfo.repartitionSourceTopics.keySet()) {
-                    final Optional<Integer> maybeNumPartitions = 
repartitionTopicMetadata.get(topicName)
-                                                                     
.numberOfPartitions();
-                    Integer numPartitions = null;
-
-                    if (!maybeNumPartitions.isPresent()) {
-                        // try set the number of partitions for this 
repartition topic if it is not set yet
-                        for (final TopicsInfo otherTopicsInfo : 
topicGroups.values()) {
-                            final Set<String> otherSinkTopics = 
otherTopicsInfo.sinkTopics;
-
-                            if (otherSinkTopics.contains(topicName)) {
-                                // if this topic is one of the sink topics of 
this topology,
-                                // use the maximum of all its source topic 
partitions as the number of partitions
-                                for (final String sourceTopicName : 
otherTopicsInfo.sourceTopics) {
-                                    Integer numPartitionsCandidate = null;
-                                    // It is possible the sourceTopic is 
another internal topic, i.e,
-                                    // map().join().join(map())
-                                    if 
(repartitionTopicMetadata.containsKey(sourceTopicName)) {
-                                        if 
(repartitionTopicMetadata.get(sourceTopicName).numberOfPartitions().isPresent())
 {
-                                            numPartitionsCandidate =
-                                                
repartitionTopicMetadata.get(sourceTopicName).numberOfPartitions().get();
-                                        }
-                                    } else {
-                                        final Integer count = 
metadata.partitionCountForTopic(sourceTopicName);
-                                        if (count == null) {
-                                            throw new IllegalStateException(
-                                                "No partition count found for 
source topic "
-                                                    + sourceTopicName
-                                                    + ", but it should have 
been."
-                                            );
-                                        }
-                                        numPartitionsCandidate = count;
-                                    }
-
-                                    if (numPartitionsCandidate != null) {
-                                        if (numPartitions == null || 
numPartitionsCandidate > numPartitions) {
-                                            numPartitions = 
numPartitionsCandidate;
-                                        }
-                                    }
-                                }
-                            }
-                        }
-
-                        // if we still have not found the right number of 
partitions,
-                        // another iteration is needed
-                        if (numPartitions == null) {
-                            numPartitionsNeeded = true;
-                        } else {
-                            
repartitionTopicMetadata.get(topicName).setNumberOfPartitions(numPartitions);
-                        }
-                    }
+                                                                final Cluster 
metadata) {
+        final Set<String> allRepartitionSourceTopics = new HashSet<>();
+        final Map<String, TopicNode> builtTopicNodes = new HashMap<>();
+        // 1.  Build a graph contains the TopicsInfo and TopicsNode
+        for (final TopicsInfo topicsInfo : topicGroups.values()) {
+            for (final String topicName : 
topicsInfo.repartitionSourceTopics.keySet()) {

Review comment:
       cool, updated

##########
File path: 
streams/src/main/java/org/apache/kafka/streams/processor/internals/StreamsPartitionAssignor.java
##########
@@ -513,66 +553,94 @@ private boolean checkMetadataVersions(final int 
minReceivedMetadataVersion,
      */
     private void setRepartitionTopicMetadataNumberOfPartitions(final 
Map<String, InternalTopicConfig> repartitionTopicMetadata,
                                                                final 
Map<Integer, TopicsInfo> topicGroups,
-                                                               final Cluster 
metadata) {
-        boolean numPartitionsNeeded;
-        do {
-            numPartitionsNeeded = false;
-
-            for (final TopicsInfo topicsInfo : topicGroups.values()) {
-                for (final String topicName : 
topicsInfo.repartitionSourceTopics.keySet()) {
-                    final Optional<Integer> maybeNumPartitions = 
repartitionTopicMetadata.get(topicName)
-                                                                     
.numberOfPartitions();
-                    Integer numPartitions = null;
-
-                    if (!maybeNumPartitions.isPresent()) {
-                        // try set the number of partitions for this 
repartition topic if it is not set yet
-                        for (final TopicsInfo otherTopicsInfo : 
topicGroups.values()) {
-                            final Set<String> otherSinkTopics = 
otherTopicsInfo.sinkTopics;
-
-                            if (otherSinkTopics.contains(topicName)) {
-                                // if this topic is one of the sink topics of 
this topology,
-                                // use the maximum of all its source topic 
partitions as the number of partitions
-                                for (final String sourceTopicName : 
otherTopicsInfo.sourceTopics) {
-                                    Integer numPartitionsCandidate = null;
-                                    // It is possible the sourceTopic is 
another internal topic, i.e,
-                                    // map().join().join(map())
-                                    if 
(repartitionTopicMetadata.containsKey(sourceTopicName)) {
-                                        if 
(repartitionTopicMetadata.get(sourceTopicName).numberOfPartitions().isPresent())
 {
-                                            numPartitionsCandidate =
-                                                
repartitionTopicMetadata.get(sourceTopicName).numberOfPartitions().get();
-                                        }
-                                    } else {
-                                        final Integer count = 
metadata.partitionCountForTopic(sourceTopicName);
-                                        if (count == null) {
-                                            throw new IllegalStateException(
-                                                "No partition count found for 
source topic "
-                                                    + sourceTopicName
-                                                    + ", but it should have 
been."
-                                            );
-                                        }
-                                        numPartitionsCandidate = count;
-                                    }
-
-                                    if (numPartitionsCandidate != null) {
-                                        if (numPartitions == null || 
numPartitionsCandidate > numPartitions) {
-                                            numPartitions = 
numPartitionsCandidate;
-                                        }
-                                    }
-                                }
-                            }
-                        }
-
-                        // if we still have not found the right number of 
partitions,
-                        // another iteration is needed
-                        if (numPartitions == null) {
-                            numPartitionsNeeded = true;
-                        } else {
-                            
repartitionTopicMetadata.get(topicName).setNumberOfPartitions(numPartitions);
-                        }
-                    }
+                                                                final Cluster 
metadata) {
+        final Set<String> allRepartitionSourceTopics = new HashSet<>();
+        final Map<String, TopicNode> builtTopicNodes = new HashMap<>();
+        // 1.  Build a graph contains the TopicsInfo and TopicsNode
+        for (final TopicsInfo topicsInfo : topicGroups.values()) {
+            for (final String topicName : 
topicsInfo.repartitionSourceTopics.keySet()) {
+                allRepartitionSourceTopics.add(topicName);
+            }
+            for (final String sourceTopic : topicsInfo.sourceTopics) {
+                if (builtTopicNodes.containsKey(sourceTopic)) {

Review comment:
       updated

##########
File path: 
streams/src/main/java/org/apache/kafka/streams/processor/internals/StreamsPartitionAssignor.java
##########
@@ -513,66 +553,94 @@ private boolean checkMetadataVersions(final int 
minReceivedMetadataVersion,
      */
     private void setRepartitionTopicMetadataNumberOfPartitions(final 
Map<String, InternalTopicConfig> repartitionTopicMetadata,
                                                                final 
Map<Integer, TopicsInfo> topicGroups,
-                                                               final Cluster 
metadata) {
-        boolean numPartitionsNeeded;
-        do {
-            numPartitionsNeeded = false;
-
-            for (final TopicsInfo topicsInfo : topicGroups.values()) {
-                for (final String topicName : 
topicsInfo.repartitionSourceTopics.keySet()) {
-                    final Optional<Integer> maybeNumPartitions = 
repartitionTopicMetadata.get(topicName)
-                                                                     
.numberOfPartitions();
-                    Integer numPartitions = null;
-
-                    if (!maybeNumPartitions.isPresent()) {
-                        // try set the number of partitions for this 
repartition topic if it is not set yet
-                        for (final TopicsInfo otherTopicsInfo : 
topicGroups.values()) {
-                            final Set<String> otherSinkTopics = 
otherTopicsInfo.sinkTopics;
-
-                            if (otherSinkTopics.contains(topicName)) {
-                                // if this topic is one of the sink topics of 
this topology,
-                                // use the maximum of all its source topic 
partitions as the number of partitions
-                                for (final String sourceTopicName : 
otherTopicsInfo.sourceTopics) {
-                                    Integer numPartitionsCandidate = null;
-                                    // It is possible the sourceTopic is 
another internal topic, i.e,
-                                    // map().join().join(map())
-                                    if 
(repartitionTopicMetadata.containsKey(sourceTopicName)) {
-                                        if 
(repartitionTopicMetadata.get(sourceTopicName).numberOfPartitions().isPresent())
 {
-                                            numPartitionsCandidate =
-                                                
repartitionTopicMetadata.get(sourceTopicName).numberOfPartitions().get();
-                                        }
-                                    } else {
-                                        final Integer count = 
metadata.partitionCountForTopic(sourceTopicName);
-                                        if (count == null) {
-                                            throw new IllegalStateException(
-                                                "No partition count found for 
source topic "
-                                                    + sourceTopicName
-                                                    + ", but it should have 
been."
-                                            );
-                                        }
-                                        numPartitionsCandidate = count;
-                                    }
-
-                                    if (numPartitionsCandidate != null) {
-                                        if (numPartitions == null || 
numPartitionsCandidate > numPartitions) {
-                                            numPartitions = 
numPartitionsCandidate;
-                                        }
-                                    }
-                                }
-                            }
-                        }
-
-                        // if we still have not found the right number of 
partitions,
-                        // another iteration is needed
-                        if (numPartitions == null) {
-                            numPartitionsNeeded = true;
-                        } else {
-                            
repartitionTopicMetadata.get(topicName).setNumberOfPartitions(numPartitions);
-                        }
-                    }
+                                                                final Cluster 
metadata) {
+        final Set<String> allRepartitionSourceTopics = new HashSet<>();
+        final Map<String, TopicNode> builtTopicNodes = new HashMap<>();
+        // 1.  Build a graph contains the TopicsInfo and TopicsNode
+        for (final TopicsInfo topicsInfo : topicGroups.values()) {
+            for (final String topicName : 
topicsInfo.repartitionSourceTopics.keySet()) {
+                allRepartitionSourceTopics.add(topicName);
+            }
+            for (final String sourceTopic : topicsInfo.sourceTopics) {
+                if (builtTopicNodes.containsKey(sourceTopic)) {
+                    
builtTopicNodes.get(sourceTopic).addDownStreamTopicsInfo(topicsInfo);
+                } else {
+                    final TopicNode topicNode = new TopicNode(sourceTopic);
+                    topicNode.addDownStreamTopicsInfo(topicsInfo);
+                    builtTopicNodes.put(sourceTopic, topicNode);
+                }
+            }
+
+            for (final String sinkTopic : topicsInfo.sinkTopics) {
+                if (builtTopicNodes.containsKey(sinkTopic)) {

Review comment:
       fixed also

##########
File path: 
streams/src/main/java/org/apache/kafka/streams/processor/internals/StreamsPartitionAssignor.java
##########
@@ -513,66 +553,94 @@ private boolean checkMetadataVersions(final int 
minReceivedMetadataVersion,
      */
     private void setRepartitionTopicMetadataNumberOfPartitions(final 
Map<String, InternalTopicConfig> repartitionTopicMetadata,
                                                                final 
Map<Integer, TopicsInfo> topicGroups,
-                                                               final Cluster 
metadata) {
-        boolean numPartitionsNeeded;
-        do {
-            numPartitionsNeeded = false;
-
-            for (final TopicsInfo topicsInfo : topicGroups.values()) {
-                for (final String topicName : 
topicsInfo.repartitionSourceTopics.keySet()) {
-                    final Optional<Integer> maybeNumPartitions = 
repartitionTopicMetadata.get(topicName)
-                                                                     
.numberOfPartitions();
-                    Integer numPartitions = null;
-
-                    if (!maybeNumPartitions.isPresent()) {
-                        // try set the number of partitions for this 
repartition topic if it is not set yet
-                        for (final TopicsInfo otherTopicsInfo : 
topicGroups.values()) {
-                            final Set<String> otherSinkTopics = 
otherTopicsInfo.sinkTopics;
-
-                            if (otherSinkTopics.contains(topicName)) {
-                                // if this topic is one of the sink topics of 
this topology,
-                                // use the maximum of all its source topic 
partitions as the number of partitions
-                                for (final String sourceTopicName : 
otherTopicsInfo.sourceTopics) {
-                                    Integer numPartitionsCandidate = null;
-                                    // It is possible the sourceTopic is 
another internal topic, i.e,
-                                    // map().join().join(map())
-                                    if 
(repartitionTopicMetadata.containsKey(sourceTopicName)) {
-                                        if 
(repartitionTopicMetadata.get(sourceTopicName).numberOfPartitions().isPresent())
 {
-                                            numPartitionsCandidate =
-                                                
repartitionTopicMetadata.get(sourceTopicName).numberOfPartitions().get();
-                                        }
-                                    } else {
-                                        final Integer count = 
metadata.partitionCountForTopic(sourceTopicName);
-                                        if (count == null) {
-                                            throw new IllegalStateException(
-                                                "No partition count found for 
source topic "
-                                                    + sourceTopicName
-                                                    + ", but it should have 
been."
-                                            );
-                                        }
-                                        numPartitionsCandidate = count;
-                                    }
-
-                                    if (numPartitionsCandidate != null) {
-                                        if (numPartitions == null || 
numPartitionsCandidate > numPartitions) {
-                                            numPartitions = 
numPartitionsCandidate;
-                                        }
-                                    }
-                                }
-                            }
-                        }
-
-                        // if we still have not found the right number of 
partitions,
-                        // another iteration is needed
-                        if (numPartitions == null) {
-                            numPartitionsNeeded = true;
-                        } else {
-                            
repartitionTopicMetadata.get(topicName).setNumberOfPartitions(numPartitions);
-                        }
-                    }
+                                                                final Cluster 
metadata) {
+        final Set<String> allRepartitionSourceTopics = new HashSet<>();
+        final Map<String, TopicNode> builtTopicNodes = new HashMap<>();
+        // 1.  Build a graph contains the TopicsInfo and TopicsNode
+        for (final TopicsInfo topicsInfo : topicGroups.values()) {
+            for (final String topicName : 
topicsInfo.repartitionSourceTopics.keySet()) {
+                allRepartitionSourceTopics.add(topicName);
+            }
+            for (final String sourceTopic : topicsInfo.sourceTopics) {
+                if (builtTopicNodes.containsKey(sourceTopic)) {
+                    
builtTopicNodes.get(sourceTopic).addDownStreamTopicsInfo(topicsInfo);
+                } else {
+                    final TopicNode topicNode = new TopicNode(sourceTopic);
+                    topicNode.addDownStreamTopicsInfo(topicsInfo);
+                    builtTopicNodes.put(sourceTopic, topicNode);
+                }
+            }
+
+            for (final String sinkTopic : topicsInfo.sinkTopics) {
+                if (builtTopicNodes.containsKey(sinkTopic)) {
+                    
builtTopicNodes.get(sinkTopic).addUpStreamTopicsInfo(topicsInfo);
+                } else {
+                    final TopicNode topicNode = new TopicNode(sinkTopic);
+                    topicNode.addUpStreamTopicsInfo(topicsInfo);
+                    builtTopicNodes.put(sinkTopic, topicNode);
                 }
             }
-        } while (numPartitionsNeeded);
+        }
+
+        // 2. Use DFS along with memoization to calc repartition number of all 
repartitionSourceTopics

Review comment:
       I think it should be memoization here -> 
https://en.wikipedia.org/wiki/Memoization

##########
File path: 
streams/src/main/java/org/apache/kafka/streams/processor/internals/StreamsPartitionAssignor.java
##########
@@ -147,6 +147,46 @@ public String toString() {
         }
     }
 
+    /**
+     * TopicNode is the a topic node abstraction for graph built with 
TopicNode and TopicsInfo, the graph is useful
+     * when in certain cases traverse is needed. For example, method 
setRepartitionTopicMetadataNumberOfPartitions
+     * internally do a DFS search along with the graph.
+     *
+     TopicNode("t1")      TopicNode("t2")                                    
TopicNode("t6")             TopicNode("t7")
+                \           /                                                  
          \                           /
+                  TopicsInfo(source = (t1,t2), sink = (t3,t4))                 
          TopicsInfo(source = (t6,t7), sink = (t4))
+                                /           \                                  
                                      /
+                             /                 \                               
                           /
+                          /                        \                           
                /
+                      /                                \                       
    /
+                 /                                       \            /
+     TopicNode("t3")                                     TopicNode("t4")
+            \
+     TopicsInfo(source = (t3), sink = ())
+
+     t3 = max(t1,t2)
+     t4 = max(max(t1,t2), max(t6,t7))
+     */
+    private static class TopicNode {
+        public final String topicName;
+        public final Set<TopicsInfo> upStreams; // upStream TopicsInfo's 
sinkTopics contains this
+        public final Set<TopicsInfo> downStreams; // downStreams TopicsInfo's 
sourceTopics contains this

Review comment:
       It's used to build the graph together with `TopicsInfo`

##########
File path: 
streams/src/main/java/org/apache/kafka/streams/processor/internals/StreamsPartitionAssignor.java
##########
@@ -513,66 +553,94 @@ private boolean checkMetadataVersions(final int 
minReceivedMetadataVersion,
      */
     private void setRepartitionTopicMetadataNumberOfPartitions(final 
Map<String, InternalTopicConfig> repartitionTopicMetadata,
                                                                final 
Map<Integer, TopicsInfo> topicGroups,
-                                                               final Cluster 
metadata) {
-        boolean numPartitionsNeeded;
-        do {
-            numPartitionsNeeded = false;
-
-            for (final TopicsInfo topicsInfo : topicGroups.values()) {
-                for (final String topicName : 
topicsInfo.repartitionSourceTopics.keySet()) {
-                    final Optional<Integer> maybeNumPartitions = 
repartitionTopicMetadata.get(topicName)
-                                                                     
.numberOfPartitions();
-                    Integer numPartitions = null;
-
-                    if (!maybeNumPartitions.isPresent()) {
-                        // try set the number of partitions for this 
repartition topic if it is not set yet
-                        for (final TopicsInfo otherTopicsInfo : 
topicGroups.values()) {
-                            final Set<String> otherSinkTopics = 
otherTopicsInfo.sinkTopics;
-
-                            if (otherSinkTopics.contains(topicName)) {
-                                // if this topic is one of the sink topics of 
this topology,
-                                // use the maximum of all its source topic 
partitions as the number of partitions
-                                for (final String sourceTopicName : 
otherTopicsInfo.sourceTopics) {
-                                    Integer numPartitionsCandidate = null;
-                                    // It is possible the sourceTopic is 
another internal topic, i.e,
-                                    // map().join().join(map())
-                                    if 
(repartitionTopicMetadata.containsKey(sourceTopicName)) {
-                                        if 
(repartitionTopicMetadata.get(sourceTopicName).numberOfPartitions().isPresent())
 {
-                                            numPartitionsCandidate =
-                                                
repartitionTopicMetadata.get(sourceTopicName).numberOfPartitions().get();
-                                        }
-                                    } else {
-                                        final Integer count = 
metadata.partitionCountForTopic(sourceTopicName);
-                                        if (count == null) {
-                                            throw new IllegalStateException(
-                                                "No partition count found for 
source topic "
-                                                    + sourceTopicName
-                                                    + ", but it should have 
been."
-                                            );
-                                        }
-                                        numPartitionsCandidate = count;
-                                    }
-
-                                    if (numPartitionsCandidate != null) {
-                                        if (numPartitions == null || 
numPartitionsCandidate > numPartitions) {
-                                            numPartitions = 
numPartitionsCandidate;
-                                        }
-                                    }
-                                }
-                            }
-                        }
-
-                        // if we still have not found the right number of 
partitions,
-                        // another iteration is needed
-                        if (numPartitions == null) {
-                            numPartitionsNeeded = true;
-                        } else {
-                            
repartitionTopicMetadata.get(topicName).setNumberOfPartitions(numPartitions);
-                        }
-                    }
+                                                                final Cluster 
metadata) {
+        final Set<String> allRepartitionSourceTopics = new HashSet<>();
+        final Map<String, TopicNode> builtTopicNodes = new HashMap<>();
+        // 1.  Build a graph contains the TopicsInfo and TopicsNode
+        for (final TopicsInfo topicsInfo : topicGroups.values()) {
+            for (final String topicName : 
topicsInfo.repartitionSourceTopics.keySet()) {
+                allRepartitionSourceTopics.add(topicName);
+            }
+            for (final String sourceTopic : topicsInfo.sourceTopics) {
+                if (builtTopicNodes.containsKey(sourceTopic)) {
+                    
builtTopicNodes.get(sourceTopic).addDownStreamTopicsInfo(topicsInfo);
+                } else {
+                    final TopicNode topicNode = new TopicNode(sourceTopic);
+                    topicNode.addDownStreamTopicsInfo(topicsInfo);
+                    builtTopicNodes.put(sourceTopic, topicNode);
+                }
+            }
+
+            for (final String sinkTopic : topicsInfo.sinkTopics) {
+                if (builtTopicNodes.containsKey(sinkTopic)) {
+                    
builtTopicNodes.get(sinkTopic).addUpStreamTopicsInfo(topicsInfo);
+                } else {
+                    final TopicNode topicNode = new TopicNode(sinkTopic);
+                    topicNode.addUpStreamTopicsInfo(topicsInfo);
+                    builtTopicNodes.put(sinkTopic, topicNode);
                 }
             }
-        } while (numPartitionsNeeded);
+        }
+
+        // 2. Use DFS along with memoization to calc repartition number of all 
repartitionSourceTopics
+        for (final String topic : allRepartitionSourceTopics) {
+            calcRepartitionNumForTopic(topic, repartitionTopicMetadata, 
metadata, builtTopicNodes, new HashMap<TopicsInfo, Integer>());
+        }
+    }
+
+    private int calcRepartitionNumForTopic(final String topic,
+                                           final Map<String, 
InternalTopicConfig> repartitionTopicMetadata,
+                                           final Cluster metadata,
+                                           final Map<String, TopicNode> 
builtTopicNodes,
+                                           final Map<TopicsInfo, Integer> 
topicsInfoNumberOfPartitions) {
+
+        if (repartitionTopicMetadata.containsKey(topic)) {
+            final Optional<Integer> maybeNumberPartitions = 
repartitionTopicMetadata.get(topic).numberOfPartitions();
+            // if numberOfPartitions already calculated, return directly
+            if (maybeNumberPartitions.isPresent()) {
+                return maybeNumberPartitions.get();
+            } else {
+                // else calculate the max numRepartitions of its upStream 
TopicsInfo and set the repartitionTopicMetadata for memoization before return
+                final TopicNode topicNode = builtTopicNodes.get(topic);
+                Integer maxNumberPartitions = 0;
+                for (final TopicsInfo upstream : topicNode.upStreams) {
+                    final Integer upStreamRepartitionNum = 
calcRepartitionNumForTopicInfo(upstream, repartitionTopicMetadata,
+                            metadata, builtTopicNodes, 
topicsInfoNumberOfPartitions);
+                    maxNumberPartitions = upStreamRepartitionNum > 
maxNumberPartitions ? upStreamRepartitionNum : maxNumberPartitions;
+                }
+                
repartitionTopicMetadata.get(topic).setNumberOfPartitions(maxNumberPartitions);
+                return maxNumberPartitions;
+            }
+        } else {
+            final Integer count = metadata.partitionCountForTopic(topic);
+            if (count == null) {
+                throw new IllegalStateException(
+                        "No partition count found for source topic "
+                                + topic
+                                + ", but it should have been."
+                );
+            }
+            return count;
+        }
+    }
+
+    private int calcRepartitionNumForTopicInfo(final TopicsInfo topicsInfo,

Review comment:
       Yeah, seems to be the case, but in the mutual recursive function, it 
seems acceptable...

##########
File path: 
streams/src/main/java/org/apache/kafka/streams/processor/internals/StreamsPartitionAssignor.java
##########
@@ -513,66 +553,94 @@ private boolean checkMetadataVersions(final int 
minReceivedMetadataVersion,
      */
     private void setRepartitionTopicMetadataNumberOfPartitions(final 
Map<String, InternalTopicConfig> repartitionTopicMetadata,
                                                                final 
Map<Integer, TopicsInfo> topicGroups,
-                                                               final Cluster 
metadata) {
-        boolean numPartitionsNeeded;
-        do {
-            numPartitionsNeeded = false;
-
-            for (final TopicsInfo topicsInfo : topicGroups.values()) {
-                for (final String topicName : 
topicsInfo.repartitionSourceTopics.keySet()) {
-                    final Optional<Integer> maybeNumPartitions = 
repartitionTopicMetadata.get(topicName)
-                                                                     
.numberOfPartitions();
-                    Integer numPartitions = null;
-
-                    if (!maybeNumPartitions.isPresent()) {
-                        // try set the number of partitions for this 
repartition topic if it is not set yet
-                        for (final TopicsInfo otherTopicsInfo : 
topicGroups.values()) {
-                            final Set<String> otherSinkTopics = 
otherTopicsInfo.sinkTopics;
-
-                            if (otherSinkTopics.contains(topicName)) {
-                                // if this topic is one of the sink topics of 
this topology,
-                                // use the maximum of all its source topic 
partitions as the number of partitions
-                                for (final String sourceTopicName : 
otherTopicsInfo.sourceTopics) {
-                                    Integer numPartitionsCandidate = null;
-                                    // It is possible the sourceTopic is 
another internal topic, i.e,
-                                    // map().join().join(map())
-                                    if 
(repartitionTopicMetadata.containsKey(sourceTopicName)) {
-                                        if 
(repartitionTopicMetadata.get(sourceTopicName).numberOfPartitions().isPresent())
 {
-                                            numPartitionsCandidate =
-                                                
repartitionTopicMetadata.get(sourceTopicName).numberOfPartitions().get();
-                                        }
-                                    } else {
-                                        final Integer count = 
metadata.partitionCountForTopic(sourceTopicName);
-                                        if (count == null) {
-                                            throw new IllegalStateException(
-                                                "No partition count found for 
source topic "
-                                                    + sourceTopicName
-                                                    + ", but it should have 
been."
-                                            );
-                                        }
-                                        numPartitionsCandidate = count;
-                                    }
-
-                                    if (numPartitionsCandidate != null) {
-                                        if (numPartitions == null || 
numPartitionsCandidate > numPartitions) {
-                                            numPartitions = 
numPartitionsCandidate;
-                                        }
-                                    }
-                                }
-                            }
-                        }
-
-                        // if we still have not found the right number of 
partitions,
-                        // another iteration is needed
-                        if (numPartitions == null) {
-                            numPartitionsNeeded = true;
-                        } else {
-                            
repartitionTopicMetadata.get(topicName).setNumberOfPartitions(numPartitions);
-                        }
-                    }
+                                                                final Cluster 
metadata) {
+        final Set<String> allRepartitionSourceTopics = new HashSet<>();
+        final Map<String, TopicNode> builtTopicNodes = new HashMap<>();
+        // 1.  Build a graph contains the TopicsInfo and TopicsNode
+        for (final TopicsInfo topicsInfo : topicGroups.values()) {
+            for (final String topicName : 
topicsInfo.repartitionSourceTopics.keySet()) {
+                allRepartitionSourceTopics.add(topicName);
+            }
+            for (final String sourceTopic : topicsInfo.sourceTopics) {
+                if (builtTopicNodes.containsKey(sourceTopic)) {
+                    
builtTopicNodes.get(sourceTopic).addDownStreamTopicsInfo(topicsInfo);
+                } else {
+                    final TopicNode topicNode = new TopicNode(sourceTopic);
+                    topicNode.addDownStreamTopicsInfo(topicsInfo);
+                    builtTopicNodes.put(sourceTopic, topicNode);
+                }
+            }
+
+            for (final String sinkTopic : topicsInfo.sinkTopics) {
+                if (builtTopicNodes.containsKey(sinkTopic)) {
+                    
builtTopicNodes.get(sinkTopic).addUpStreamTopicsInfo(topicsInfo);
+                } else {
+                    final TopicNode topicNode = new TopicNode(sinkTopic);
+                    topicNode.addUpStreamTopicsInfo(topicsInfo);
+                    builtTopicNodes.put(sinkTopic, topicNode);
                 }
             }
-        } while (numPartitionsNeeded);
+        }
+
+        // 2. Use DFS along with memoization to calc repartition number of all 
repartitionSourceTopics
+        for (final String topic : allRepartitionSourceTopics) {
+            calcRepartitionNumForTopic(topic, repartitionTopicMetadata, 
metadata, builtTopicNodes, new HashMap<TopicsInfo, Integer>());
+        }
+    }
+
+    private int calcRepartitionNumForTopic(final String topic,
+                                           final Map<String, 
InternalTopicConfig> repartitionTopicMetadata,
+                                           final Cluster metadata,
+                                           final Map<String, TopicNode> 
builtTopicNodes,
+                                           final Map<TopicsInfo, Integer> 
topicsInfoNumberOfPartitions) {

Review comment:
       Good catch! Seems problematic, I will check it later soon




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