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

    https://github.com/apache/spark/pull/3200#discussion_r23319026
  
    --- Diff: 
mllib/src/main/scala/org/apache/spark/mllib/linalg/distributed/BlockMatrix.scala
 ---
    @@ -0,0 +1,215 @@
    +/*
    + * 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.mllib.linalg.distributed
    +
    +import breeze.linalg.{DenseMatrix => BDM}
    +
    +import org.apache.spark._
    +import org.apache.spark.mllib.linalg._
    +import org.apache.spark.mllib.rdd.RDDFunctions._
    +import org.apache.spark.rdd.RDD
    +import org.apache.spark.storage.StorageLevel
    +import org.apache.spark.util.Utils
    +
    +/**
    + * A grid partitioner, which stores every block in a separate partition.
    + *
    + * @param numRowBlocks Number of blocks that form the rows of the matrix.
    + * @param numColBlocks Number of blocks that form the columns of the 
matrix.
    + * @param rowsPerBlock Number of rows that make up each block.
    + * @param colsPerBlock Number of columns that make up each block.
    + */
    +private[mllib] class GridPartitioner(
    +    val numRowBlocks: Int,
    +    val numColBlocks: Int,
    +    val rowsPerBlock: Int,
    --- End diff --
    
    Why do we use partitioner to decide whether two matrices can multiply? It 
should be done with the matrix itself, who knows the dims and numRowsPerBlock 
and numColsPerBlock. Those information should be sufficient to decide whether 
two matrices are compatible or not.


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