xuyang1706 commented on a change in pull request #8631: [FLINK-12745][ml] add 
sparse and dense vector class, and dense matrix class with basic operations.
URL: https://github.com/apache/flink/pull/8631#discussion_r311990014
 
 

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 File path: 
flink-ml-parent/flink-ml-lib/src/main/java/org/apache/flink/ml/common/matrix/BLAS.java
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 @@ -0,0 +1,140 @@
+/*
+ * 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.flink.ml.common.matrix;
+
+/**
+ * A utility class that wraps netlib BLAS and provides some operations on 
dense matrix
+ * and dense vector.
+ */
+public class BLAS {
+       private static final com.github.fommil.netlib.BLAS BLAS = 
com.github.fommil.netlib.BLAS.getInstance();
+
+       /**
+        * y += a * x .
+        */
+       public static void axpy(double a, double[] x, double[] y) {
+               BLAS.daxpy(x.length, a, x, 1, y, 1);
+       }
+
+       /**
+        * y += a * x .
+        */
+       public static void axpy(double a, DenseVector x, DenseVector y) {
+               axpy(a, x.getData(), y.getData());
+       }
+
+       /**
+        * x \cdot y .
+        */
+       public static double dot(double[] x, double[] y) {
+               return BLAS.ddot(x.length, x, 1, y, 1);
+       }
+
+       /**
+        * x \cdot y .
+        */
+       public static double dot(DenseVector x, DenseVector y) {
+               return dot(x.getData(), y.getData());
+       }
+
+       /**
+        * x = x * a .
+        */
+       public static void scal(double a, double[] x) {
+               BLAS.dscal(x.length, a, x, 1);
+       }
+
+       /**
+        * x = x * a .
+        */
+       public static void scal(double a, DenseVector x) {
+               scal(a, x.getData());
+       }
+
+       /**
+        * || x - y ||^2 .
+        */
+       public static double dsquared(double[] x, double[] y) {
+               double s = 0.;
+               for (int i = 0; i < x.length; i++) {
+                       double d = x[i] - y[i];
+                       s += d * d;
+               }
+               return s;
+       }
+
+       /**
+        * | x - y | .
+        */
+       public static double dabs(double[] x, double[] y) {
+               double s = 0.;
+               for (int i = 0; i < x.length; i++) {
+                       double d = x[i] - y[i];
+                       s += Math.abs(d);
+               }
+               return s;
+       }
+
+       /**
+        * C := alpha * A * B + beta * C .
+        */
+       public static void gemm(double alpha, DenseMatrix matA, boolean transA, 
DenseMatrix matB, boolean transB,
+                                                       double beta, 
DenseMatrix matC) {
+               if (transA) {
+                       assert matA.numCols() == matC.numRows();
 
 Review comment:
   Thanks for the suggestion. We have added the messages.

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