http://git-wip-us.apache.org/repos/asf/ignite/blob/d78e071a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/MatrixImplementationsTest.java
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a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/MatrixImplementationsTest.java
 
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b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/MatrixImplementationsTest.java
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+/*
+ * 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.ignite.ml.math.impls.matrix;
+
+import java.util.Arrays;
+import java.util.LinkedHashMap;
+import java.util.List;
+import java.util.Map;
+import java.util.function.BiConsumer;
+import java.util.function.Supplier;
+import org.apache.ignite.ml.math.ExternalizeTest;
+import org.apache.ignite.ml.math.Matrix;
+import org.apache.ignite.ml.math.Vector;
+import org.apache.ignite.ml.math.exceptions.CardinalityException;
+import org.apache.ignite.ml.math.exceptions.ColumnIndexException;
+import org.apache.ignite.ml.math.exceptions.IndexException;
+import org.apache.ignite.ml.math.exceptions.RowIndexException;
+import org.apache.ignite.ml.math.exceptions.UnsupportedOperationException;
+import org.apache.ignite.ml.math.impls.vector.DenseLocalOffHeapVector;
+import org.apache.ignite.ml.math.impls.vector.DenseLocalOnHeapVector;
+import org.apache.ignite.ml.math.impls.vector.RandomVector;
+import org.apache.ignite.ml.math.impls.vector.SparseLocalVector;
+import org.junit.Test;
+
+import static org.junit.Assert.assertEquals;
+import static org.junit.Assert.assertFalse;
+import static org.junit.Assert.assertNotNull;
+import static org.junit.Assert.assertTrue;
+import static org.junit.Assert.fail;
+
+/**
+ * Tests for {@link Matrix} implementations.
+ */
+public class MatrixImplementationsTest extends ExternalizeTest<Matrix> {
+    /** */
+    private static final double DEFAULT_DELTA = 0.000000001d;
+
+    /** */
+    private void consumeSampleMatrix(BiConsumer<Matrix, String> consumer) {
+        new MatrixImplementationFixtures().consumeSampleMatrix(consumer);
+    }
+
+    /** */
+    @Test
+    public void externalizeTest() {
+        consumeSampleMatrix((m, desc) -> externalizeTest(m));
+    }
+
+    /** */
+    @Test
+    public void testLike() {
+        consumeSampleMatrix((m, desc) -> {
+            Class<? extends Matrix> cls = likeMatrixType(m);
+
+            if (cls != null) {
+                Matrix like = m.like(m.rowSize(), m.columnSize());
+
+                assertEquals("Wrong \"like\" matrix for " + desc + "; 
Unexpected rows.", like.rowSize(), m.rowSize());
+                assertEquals("Wrong \"like\" matrix for " + desc + "; 
Unexpected columns.", like.columnSize(), m.columnSize());
+
+                assertEquals("Wrong \"like\" matrix for " + desc
+                        + "; Unexpected class: " + like.getClass().toString(),
+                    cls,
+                    like.getClass());
+
+                return;
+            }
+
+            boolean expECaught = false;
+
+            try {
+                m.like(1, 1);
+            }
+            catch (UnsupportedOperationException uoe) {
+                expECaught = true;
+            }
+
+            assertTrue("Expected exception was not caught for " + desc, 
expECaught);
+        });
+    }
+
+    /** */
+    @Test
+    public void testCopy() {
+        consumeSampleMatrix((m, desc) -> {
+            Matrix cp = m.copy();
+            assertTrue("Incorrect copy for empty matrix " + desc, 
cp.equals(m));
+
+            if (!readOnly(m))
+                fillMatrix(m);
+
+            cp = m.copy();
+
+            assertTrue("Incorrect copy for matrix " + desc, cp.equals(m));
+        });
+    }
+
+    /** */
+    @Test
+    public void testHaveLikeVector() throws InstantiationException, 
IllegalAccessException {
+        for (Class<? extends Matrix> key : likeVectorTypesMap().keySet()) {
+            Class<? extends Vector> val = likeVectorTypesMap().get(key);
+
+            if (val == null && !ignore(key))
+                System.out.println("Missing test for implementation of 
likeMatrix for " + key.getSimpleName());
+        }
+    }
+
+    /** */
+    @Test
+    public void testLikeVector() {
+        consumeSampleMatrix((m, desc) -> {
+            if (likeVectorTypesMap().containsKey(m.getClass())) {
+                Vector likeVector = m.likeVector(m.columnSize());
+
+                assertNotNull(likeVector);
+                assertEquals("Unexpected value for " + desc, 
likeVector.size(), m.columnSize());
+
+                return;
+            }
+
+            boolean expECaught = false;
+
+            try {
+                m.likeVector(1);
+            }
+            catch (UnsupportedOperationException uoe) {
+                expECaught = true;
+            }
+
+            assertTrue("Expected exception was not caught for " + desc, 
expECaught);
+        });
+    }
+
+    /** */
+    @Test
+    public void testAssignSingleElement() {
+        consumeSampleMatrix((m, desc) -> {
+            if (ignore(m.getClass()))
+                return;
+
+            final double assignVal = Math.random();
+
+            m.assign(assignVal);
+
+            for (int i = 0; i < m.rowSize(); i++)
+                for (int j = 0; j < m.columnSize(); j++)
+                    assertEquals("Unexpected value for " + desc + " at (" + i 
+ "," + j + ")",
+                        assignVal, m.get(i, j), 0d);
+        });
+    }
+
+    /** */
+    @Test
+    public void testAssignArray() {
+        consumeSampleMatrix((m, desc) -> {
+            if (ignore(m.getClass()))
+                return;
+
+            double[][] data = new double[m.rowSize()][m.columnSize()];
+
+            for (int i = 0; i < m.rowSize(); i++)
+                for (int j = 0; j < m.columnSize(); j++)
+                    data[i][j] = Math.random();
+
+            m.assign(data);
+
+            for (int i = 0; i < m.rowSize(); i++) {
+                for (int j = 0; j < m.columnSize(); j++)
+                    assertEquals("Unexpected value for " + desc + " at (" + i 
+ "," + j + ")",
+                        data[i][j], m.get(i, j), 0d);
+            }
+        });
+    }
+
+    /** */
+    @Test
+    public void testAssignFunction() {
+        consumeSampleMatrix((m, desc) -> {
+            if (ignore(m.getClass()))
+                return;
+
+            m.assign((i, j) -> (double)(i * m.columnSize() + j));
+
+            for (int i = 0; i < m.rowSize(); i++) {
+                for (int j = 0; j < m.columnSize(); j++)
+                    assertEquals("Unexpected value for " + desc + " at (" + i 
+ "," + j + ")",
+                        (double)(i * m.columnSize() + j), m.get(i, j), 0d);
+            }
+        });
+    }
+
+    /** */
+    @Test
+    public void testPlus() {
+        consumeSampleMatrix((m, desc) -> {
+            if (readOnly(m))
+                return;
+
+            double[][] data = fillAndReturn(m);
+
+            double plusVal = Math.random();
+
+            Matrix plus = m.plus(plusVal);
+
+            for (int i = 0; i < m.rowSize(); i++)
+                for (int j = 0; j < m.columnSize(); j++)
+                    assertEquals("Unexpected value for " + desc + " at (" + i 
+ "," + j + ")",
+                        data[i][j] + plusVal, plus.get(i, j), 0d);
+        });
+    }
+
+    /** */
+    @Test
+    public void testPlusMatrix() {
+        consumeSampleMatrix((m, desc) -> {
+            if (ignore(m.getClass()))
+                return;
+
+            double[][] data = fillAndReturn(m);
+
+            Matrix plus = m.plus(m);
+
+            for (int i = 0; i < m.rowSize(); i++)
+                for (int j = 0; j < m.columnSize(); j++)
+                    assertEquals("Unexpected value for " + desc + " at (" + i 
+ "," + j + ")",
+                        data[i][j] * 2.0, plus.get(i, j), 0d);
+        });
+    }
+
+    /** */
+    @Test
+    public void testMinusMatrix() {
+        consumeSampleMatrix((m, desc) -> {
+            if (ignore(m.getClass()))
+                return;
+
+            fillMatrix(m);
+
+            Matrix minus = m.minus(m);
+
+            for (int i = 0; i < m.rowSize(); i++)
+                for (int j = 0; j < m.columnSize(); j++)
+                    assertEquals("Unexpected value for " + desc + " at (" + i 
+ "," + j + ")",
+                        0.0, minus.get(i, j), 0d);
+        });
+    }
+
+    /** */
+    @Test
+    public void testTimes() {
+        consumeSampleMatrix((m, desc) -> {
+            if (readOnly(m))
+                return;
+
+            double[][] data = fillAndReturn(m);
+
+            double timeVal = Math.random();
+            Matrix times = m.times(timeVal);
+
+            for (int i = 0; i < m.rowSize(); i++)
+                for (int j = 0; j < m.columnSize(); j++)
+                    assertEquals("Unexpected value for " + desc + " at (" + i 
+ "," + j + ")",
+                        data[i][j] * timeVal, times.get(i, j), 0d);
+        });
+    }
+
+    /** */
+    @Test
+    public void testTimesVector() {
+        consumeSampleMatrix((m, desc) -> {
+            if (ignore(m.getClass()))
+                return;
+
+            double[][] data = fillAndReturn(m);
+
+            double[] arr = fillArray(m.columnSize());
+
+            Vector times = m.times(new DenseLocalOnHeapVector(arr));
+
+            assertEquals("Unexpected vector size for " + desc, times.size(), 
m.rowSize());
+
+            for (int i = 0; i < m.rowSize(); i++) {
+                double exp = 0.0;
+
+                for (int j = 0; j < m.columnSize(); j++)
+                    exp += arr[j] * data[i][j];
+
+                assertEquals("Unexpected value for " + desc + " at " + i,
+                    times.get(i), exp, 0d);
+            }
+
+            testInvalidCardinality(() -> m.times(new 
DenseLocalOnHeapVector(m.columnSize() + 1)), desc);
+        });
+    }
+
+    /** */
+    @Test
+    public void testTimesMatrix() {
+        consumeSampleMatrix((m, desc) -> {
+            if (ignore(m.getClass()))
+                return;
+
+            double[][] data = fillAndReturn(m);
+
+            double[] arr = fillArray(m.columnSize());
+
+            Matrix mult = new DenseLocalOnHeapMatrix(m.columnSize(), 1);
+
+            mult.setColumn(0, arr);
+
+            Matrix times = m.times(mult);
+
+            assertEquals("Unexpected rows for " + desc, times.rowSize(), 
m.rowSize());
+
+            assertEquals("Unexpected cols for " + desc, times.columnSize(), 1);
+
+            for (int i = 0; i < m.rowSize(); i++) {
+                double exp = 0.0;
+
+                for (int j = 0; j < m.columnSize(); j++)
+                    exp += arr[j] * data[i][j];
+
+                assertEquals("Unexpected value for " + desc + " at " + i,
+                    exp, times.get(i, 0), 0d);
+            }
+
+            testInvalidCardinality(() -> m.times(new 
DenseLocalOnHeapMatrix(m.columnSize() + 1, 1)), desc);
+        });
+    }
+
+    /** */
+    @Test
+    public void testDivide() {
+        consumeSampleMatrix((m, desc) -> {
+            if (ignore(m.getClass()))
+                return;
+
+            double[][] data = fillAndReturn(m);
+
+            double divVal = Math.random();
+
+            Matrix divide = m.divide(divVal);
+
+            for (int i = 0; i < m.rowSize(); i++)
+                for (int j = 0; j < m.columnSize(); j++)
+                    assertEquals("Unexpected value for " + desc + " at (" + i 
+ "," + j + ")",
+                        data[i][j] / divVal, divide.get(i, j), 0d);
+        });
+    }
+
+    /** */
+    @Test
+    public void testTranspose() {
+        consumeSampleMatrix((m, desc) -> {
+            if (ignore(m.getClass()))
+                return;
+
+            fillMatrix(m);
+
+            Matrix transpose = m.transpose();
+
+            for (int i = 0; i < m.rowSize(); i++)
+                for (int j = 0; j < m.columnSize(); j++)
+                    assertEquals("Unexpected value for " + desc + " at (" + i 
+ "," + j + ")",
+                        m.get(i, j), transpose.get(j, i), 0d);
+        });
+    }
+
+    /** */
+    @Test
+    public void testDeterminant() {
+        consumeSampleMatrix((m, desc) -> {
+            if (m.rowSize() != m.columnSize())
+                return;
+
+            if (ignore(m.getClass()))
+                return;
+
+            double[][] doubles = fillIntAndReturn(m);
+
+            if (m.rowSize() == 1) {
+                assertEquals("Unexpected value " + desc, m.determinant(), 
doubles[0][0], 0d);
+
+                return;
+            }
+
+            if (m.rowSize() == 2) {
+                double det = doubles[0][0] * doubles[1][1] - doubles[0][1] * 
doubles[1][0];
+                assertEquals("Unexpected value " + desc, m.determinant(), det, 
0d);
+
+                return;
+            }
+
+            if (m.rowSize() > 512)
+                return; // IMPL NOTE if row size >= 30000 it takes 
unacceptably long for normal test run.
+
+            Matrix diagMtx = m.like(m.rowSize(), m.columnSize());
+
+            diagMtx.assign(0);
+            for (int i = 0; i < m.rowSize(); i++)
+                diagMtx.set(i, i, m.get(i, i));
+
+            double det = 1;
+
+            for (int i = 0; i < diagMtx.rowSize(); i++)
+                det *= diagMtx.get(i, i);
+
+            try {
+                assertEquals("Unexpected value " + desc, det, 
diagMtx.determinant(), DEFAULT_DELTA);
+            }
+            catch (Exception e) {
+                System.out.println(desc);
+                throw e;
+            }
+        });
+    }
+
+    /** */
+    @Test
+    public void testInverse() {
+        consumeSampleMatrix((m, desc) -> {
+            if (m.rowSize() != m.columnSize())
+                return;
+
+            if (ignore(m.getClass()))
+                return;
+
+            if (m.rowSize() > 256)
+                return; // IMPL NOTE this is for quicker test run.
+
+            fillNonSingularMatrix(m);
+
+            assertTrue("Unexpected zero determinant " + desc, 
Math.abs(m.determinant()) > 0d);
+
+            Matrix inverse = m.inverse();
+
+            Matrix mult = m.times(inverse);
+
+            final double delta = 0.001d;
+
+            assertEquals("Unexpected determinant " + desc, 1d, 
mult.determinant(), delta);
+
+            assertEquals("Unexpected top left value " + desc, 1d, mult.get(0, 
0), delta);
+
+            if (m.rowSize() == 1)
+                return;
+
+            assertEquals("Unexpected center value " + desc,
+                1d, mult.get(m.rowSize() / 2, m.rowSize() / 2), delta);
+
+            assertEquals("Unexpected bottom right value " + desc,
+                1d, mult.get(m.rowSize() - 1, m.rowSize() - 1), delta);
+
+            assertEquals("Unexpected top right value " + desc,
+                0d, mult.get(0, m.rowSize() - 1), delta);
+
+            assertEquals("Unexpected bottom left value " + desc,
+                0d, mult.get(m.rowSize() - 1, 0), delta);
+        });
+    }
+
+    /** */
+    @Test
+    public void testMap() {
+        consumeSampleMatrix((m, desc) -> {
+            if (ignore(m.getClass()))
+                return;
+
+            fillMatrix(m);
+
+            m.map(x -> 10d);
+
+            for (int i = 0; i < m.rowSize(); i++)
+                for (int j = 0; j < m.columnSize(); j++)
+                    assertEquals("Unexpected value for " + desc + " at (" + i 
+ "," + j + ")",
+                        10d, m.get(i, j), 0d);
+        });
+    }
+
+    /** */
+    @Test
+    public void testMapMatrix() {
+        consumeSampleMatrix((m, desc) -> {
+            if (ignore(m.getClass()))
+                return;
+
+            double[][] doubles = fillAndReturn(m);
+
+            testMapMatrixWrongCardinality(m, desc);
+
+            Matrix cp = m.copy();
+
+            m.map(cp, (m1, m2) -> m1 + m2);
+
+            for (int i = 0; i < m.rowSize(); i++)
+                for (int j = 0; j < m.columnSize(); j++)
+                    assertEquals("Unexpected value for " + desc + " at (" + i 
+ "," + j + ")",
+                        m.get(i, j), doubles[i][j] * 2, 0d);
+        });
+    }
+
+    /** */
+    @Test
+    public void testViewRow() {
+        consumeSampleMatrix((m, desc) -> {
+            if (!readOnly(m))
+                fillMatrix(m);
+
+            for (int i = 0; i < m.rowSize(); i++) {
+                Vector vector = m.viewRow(i);
+                assert vector != null;
+
+                for (int j = 0; j < m.columnSize(); j++)
+                    assertEquals("Unexpected value for " + desc + " at (" + i 
+ "," + j + ")",
+                        m.get(i, j), vector.get(j), 0d);
+            }
+        });
+    }
+
+    /** */
+    @Test
+    public void testViewCol() {
+        consumeSampleMatrix((m, desc) -> {
+            if (!readOnly(m))
+                fillMatrix(m);
+
+            for (int i = 0; i < m.columnSize(); i++) {
+                Vector vector = m.viewColumn(i);
+                assert vector != null;
+
+                for (int j = 0; j < m.rowSize(); j++)
+                    assertEquals("Unexpected value for " + desc + " at (" + i 
+ "," + j + ")",
+                        m.get(j, i), vector.get(j), 0d);
+            }
+        });
+    }
+
+    /** */
+    @Test
+    public void testFoldRow() {
+        consumeSampleMatrix((m, desc) -> {
+            if (ignore(m.getClass()))
+                return;
+
+            fillMatrix(m);
+
+            Vector foldRows = m.foldRows(Vector::sum);
+
+            for (int i = 0; i < m.rowSize(); i++) {
+                Double locSum = 0d;
+
+                for (int j = 0; j < m.columnSize(); j++)
+                    locSum += m.get(i, j);
+
+                assertEquals("Unexpected value for " + desc + " at " + i,
+                    foldRows.get(i), locSum, 0d);
+            }
+        });
+    }
+
+    /** */
+    @Test
+    public void testFoldCol() {
+        consumeSampleMatrix((m, desc) -> {
+            if (ignore(m.getClass()))
+                return;
+
+            fillMatrix(m);
+
+            Vector foldCols = m.foldColumns(Vector::sum);
+
+            for (int j = 0; j < m.columnSize(); j++) {
+                Double locSum = 0d;
+
+                for (int i = 0; i < m.rowSize(); i++)
+                    locSum += m.get(i, j);
+
+                assertEquals("Unexpected value for " + desc + " at " + j,
+                    foldCols.get(j), locSum, 0d);
+            }
+        });
+    }
+
+    /** */
+    @Test
+    public void testSum() {
+        consumeSampleMatrix((m, desc) -> {
+            double[][] data = fillAndReturn(m);
+
+            double sum = m.sum();
+
+            double rawSum = 0;
+            for (double[] anArr : data)
+                for (int j = 0; j < data[0].length; j++)
+                    rawSum += anArr[j];
+
+            assertEquals("Unexpected value for " + desc,
+                rawSum, sum, 0d);
+        });
+    }
+
+    /** */
+    @Test
+    public void testMax() {
+        consumeSampleMatrix((m, desc) -> {
+            double[][] doubles = fillAndReturn(m);
+            double max = Double.NEGATIVE_INFINITY;
+
+            for (int i = 0; i < m.rowSize(); i++)
+                for (int j = 0; j < m.columnSize(); j++)
+                    max = max < doubles[i][j] ? doubles[i][j] : max;
+
+            assertEquals("Unexpected value for " + desc, m.maxValue(), max, 
0d);
+        });
+    }
+
+    /** */
+    @Test
+    public void testMin() {
+        consumeSampleMatrix((m, desc) -> {
+            double[][] doubles = fillAndReturn(m);
+            double min = Double.MAX_VALUE;
+
+            for (int i = 0; i < m.rowSize(); i++)
+                for (int j = 0; j < m.columnSize(); j++)
+                    min = min > doubles[i][j] ? doubles[i][j] : min;
+
+            assertEquals("Unexpected value for " + desc, m.minValue(), min, 
0d);
+        });
+    }
+
+    /** */
+    @Test
+    public void testGetElement() {
+        consumeSampleMatrix((m, desc) -> {
+            if (!(readOnly(m)))
+                fillMatrix(m);
+
+            for (int i = 0; i < m.rowSize(); i++)
+                for (int j = 0; j < m.columnSize(); j++) {
+                    final Matrix.Element e = m.getElement(i, j);
+
+                    final String details = desc + " at [" + i + "," + j + "]";
+
+                    assertEquals("Unexpected element row " + details, i, 
e.row());
+                    assertEquals("Unexpected element col " + details, j, 
e.column());
+
+                    final double val = m.get(i, j);
+
+                    assertEquals("Unexpected value for " + details, val, 
e.get(), 0d);
+
+                    boolean expECaught = false;
+
+                    final double newVal = val * 2.0;
+
+                    try {
+                        e.set(newVal);
+                    }
+                    catch (UnsupportedOperationException uoe) {
+                        if (!(readOnly(m)))
+                            throw uoe;
+
+                        expECaught = true;
+                    }
+
+                    if (readOnly(m)) {
+                        if (!expECaught)
+                            fail("Expected exception was not caught for " + 
details);
+
+                        continue;
+                    }
+
+                    assertEquals("Unexpected value set for " + details, 
newVal, m.get(i, j), 0d);
+                }
+        });
+    }
+
+    /** */
+    @Test
+    public void testGetX() {
+        consumeSampleMatrix((m, desc) -> {
+            if (!(readOnly(m)))
+                fillMatrix(m);
+
+            for (int i = 0; i < m.rowSize(); i++)
+                for (int j = 0; j < m.columnSize(); j++)
+                    assertEquals("Unexpected value for " + desc + " at [" + i 
+ "," + j + "]",
+                        m.get(i, j), m.getX(i, j), 0d);
+        });
+    }
+
+    /** */
+    @Test
+    public void testGetMetaStorage() {
+        consumeSampleMatrix((m, desc) -> assertNotNull("Null meta storage in " 
+ desc, m.getMetaStorage()));
+    }
+
+    /** */
+    @Test
+    public void testGuid() {
+        consumeSampleMatrix((m, desc) -> assertNotNull("Null guid in " + desc, 
m.guid()));
+    }
+
+    /** */
+    @Test
+    public void testSwapRows() {
+        consumeSampleMatrix((m, desc) -> {
+            if (readOnly(m))
+                return;
+
+            double[][] doubles = fillAndReturn(m);
+
+            final int swap_i = m.rowSize() == 1 ? 0 : 1;
+            final int swap_j = 0;
+
+            Matrix swap = m.swapRows(swap_i, swap_j);
+
+            for (int col = 0; col < m.columnSize(); col++) {
+                assertEquals("Unexpected value for " + desc + " at col " + col 
+ ", swap_i " + swap_i,
+                    swap.get(swap_i, col), doubles[swap_j][col], 0d);
+
+                assertEquals("Unexpected value for " + desc + " at col " + col 
+ ", swap_j " + swap_j,
+                    swap.get(swap_j, col), doubles[swap_i][col], 0d);
+            }
+
+            testInvalidRowIndex(() -> m.swapRows(-1, 0), desc + " negative 
first swap index");
+            testInvalidRowIndex(() -> m.swapRows(0, -1), desc + " negative 
second swap index");
+            testInvalidRowIndex(() -> m.swapRows(m.rowSize(), 0), desc + " too 
large first swap index");
+            testInvalidRowIndex(() -> m.swapRows(0, m.rowSize()), desc + " too 
large second swap index");
+        });
+    }
+
+    /** */
+    @Test
+    public void testSwapColumns() {
+        consumeSampleMatrix((m, desc) -> {
+            if (readOnly(m))
+                return;
+
+            double[][] doubles = fillAndReturn(m);
+
+            final int swap_i = m.columnSize() == 1 ? 0 : 1;
+            final int swap_j = 0;
+
+            Matrix swap = m.swapColumns(swap_i, swap_j);
+
+            for (int row = 0; row < m.rowSize(); row++) {
+                assertEquals("Unexpected value for " + desc + " at row " + row 
+ ", swap_i " + swap_i,
+                    swap.get(row, swap_i), doubles[row][swap_j], 0d);
+
+                assertEquals("Unexpected value for " + desc + " at row " + row 
+ ", swap_j " + swap_j,
+                    swap.get(row, swap_j), doubles[row][swap_i], 0d);
+            }
+
+            testInvalidColIndex(() -> m.swapColumns(-1, 0), desc + " negative 
first swap index");
+            testInvalidColIndex(() -> m.swapColumns(0, -1), desc + " negative 
second swap index");
+            testInvalidColIndex(() -> m.swapColumns(m.columnSize(), 0), desc + 
" too large first swap index");
+            testInvalidColIndex(() -> m.swapColumns(0, m.columnSize()), desc + 
" too large second swap index");
+        });
+    }
+
+    /** */
+    @Test
+    public void testSetRow() {
+        consumeSampleMatrix((m, desc) -> {
+            if (ignore(m.getClass()))
+                return;
+
+            fillMatrix(m);
+
+            int rowIdx = m.rowSize() / 2;
+
+            double[] newValues = fillArray(m.columnSize());
+
+            m.setRow(rowIdx, newValues);
+
+            for (int col = 0; col < m.columnSize(); col++)
+                assertEquals("Unexpected value for " + desc + " at " + col,
+                    newValues[col], m.get(rowIdx, col), 0d);
+
+            testInvalidCardinality(() -> m.setRow(rowIdx, new 
double[m.columnSize() + 1]), desc);
+        });
+    }
+
+    /** */
+    @Test
+    public void testSetColumn() {
+        consumeSampleMatrix((m, desc) -> {
+            if (ignore(m.getClass()))
+                return;
+
+            fillMatrix(m);
+
+            int colIdx = m.columnSize() / 2;
+
+            double[] newValues = fillArray(m.rowSize());
+
+            m.setColumn(colIdx, newValues);
+
+            for (int row = 0; row < m.rowSize(); row++)
+                assertEquals("Unexpected value for " + desc + " at " + row,
+                    newValues[row], m.get(row, colIdx), 0d);
+
+            testInvalidCardinality(() -> m.setColumn(colIdx, new 
double[m.rowSize() + 1]), desc);
+        });
+    }
+
+    /** */
+    @Test
+    public void testViewPart() {
+        consumeSampleMatrix((m, desc) -> {
+            if (ignore(m.getClass()))
+                return;
+
+            fillMatrix(m);
+
+            int rowOff = m.rowSize() < 3 ? 0 : 1;
+            int rows = m.rowSize() < 3 ? 1 : m.rowSize() - 2;
+            int colOff = m.columnSize() < 3 ? 0 : 1;
+            int cols = m.columnSize() < 3 ? 1 : m.columnSize() - 2;
+
+            Matrix view1 = m.viewPart(rowOff, rows, colOff, cols);
+            Matrix view2 = m.viewPart(new int[] {rowOff, colOff}, new int[] 
{rows, cols});
+
+            String details = desc + " view [" + rowOff + ", " + rows + ", " + 
colOff + ", " + cols + "]";
+
+            for (int i = 0; i < rows; i++)
+                for (int j = 0; j < cols; j++) {
+                    assertEquals("Unexpected view1 value for " + details + " 
at (" + i + "," + j + ")",
+                        m.get(i + rowOff, j + colOff), view1.get(i, j), 0d);
+
+                    assertEquals("Unexpected view2 value for " + details + " 
at (" + i + "," + j + ")",
+                        m.get(i + rowOff, j + colOff), view2.get(i, j), 0d);
+                }
+        });
+    }
+
+    /** */
+    @Test
+    public void testDensity() {
+        consumeSampleMatrix((m, desc) -> {
+            if (!readOnly(m))
+                fillMatrix(m);
+
+            assertTrue("Unexpected density with threshold 0 for " + desc, 
m.density(0.0));
+
+            assertFalse("Unexpected density with threshold 1 for " + desc, 
m.density(1.0));
+        });
+    }
+
+    /** */
+    @Test
+    public void testMaxAbsRowSumNorm() {
+        consumeSampleMatrix((m, desc) -> {
+            if (!readOnly(m))
+                fillMatrix(m);
+
+            assertEquals("Unexpected value for " + desc,
+                maxAbsRowSumNorm(m), m.maxAbsRowSumNorm(), 0d);
+        });
+    }
+
+    /** */
+    @Test
+    public void testAssignRow() {
+        consumeSampleMatrix((m, desc) -> {
+            if (ignore(m.getClass()))
+                return;
+
+            fillMatrix(m);
+
+            int rowIdx = m.rowSize() / 2;
+
+            double[] newValues = fillArray(m.columnSize());
+
+            m.assignRow(rowIdx, new DenseLocalOnHeapVector(newValues));
+
+            for (int col = 0; col < m.columnSize(); col++)
+                assertEquals("Unexpected value for " + desc + " at " + col,
+                    newValues[col], m.get(rowIdx, col), 0d);
+
+            testInvalidCardinality(() -> m.assignRow(rowIdx, new 
DenseLocalOnHeapVector(m.columnSize() + 1)), desc);
+        });
+    }
+
+    /** */
+    @Test
+    public void testAssignColumn() {
+        consumeSampleMatrix((m, desc) -> {
+            if (ignore(m.getClass()))
+                return;
+
+            fillMatrix(m);
+
+            int colIdx = m.columnSize() / 2;
+
+            double[] newValues = fillArray(m.rowSize());
+
+            m.assignColumn(colIdx, new DenseLocalOnHeapVector(newValues));
+
+            for (int row = 0; row < m.rowSize(); row++)
+                assertEquals("Unexpected value for " + desc + " at " + row,
+                    newValues[row], m.get(row, colIdx), 0d);
+        });
+    }
+
+    /** */
+    private double[] fillArray(int len) {
+        double[] newValues = new double[len];
+
+        for (int i = 0; i < newValues.length; i++)
+            newValues[i] = newValues.length - i;
+        return newValues;
+    }
+
+    /** */
+    private double maxAbsRowSumNorm(Matrix m) {
+        double max = 0.0;
+
+        for (int x = 0; x < m.rowSize(); x++) {
+            double sum = 0;
+
+            for (int y = 0; y < m.columnSize(); y++)
+                sum += Math.abs(m.getX(x, y));
+
+            if (sum > max)
+                max = sum;
+        }
+
+        return max;
+    }
+
+    /** */
+    private void testInvalidRowIndex(Supplier<Matrix> supplier, String desc) {
+        try {
+            supplier.get();
+        }
+        catch (RowIndexException | IndexException ie) {
+            return;
+        }
+
+        fail("Expected exception was not caught for " + desc);
+    }
+
+    /** */
+    private void testInvalidColIndex(Supplier<Matrix> supplier, String desc) {
+        try {
+            supplier.get();
+        }
+        catch (ColumnIndexException | IndexException ie) {
+            return;
+        }
+
+        fail("Expected exception was not caught for " + desc);
+    }
+
+    /** */
+    private void testMapMatrixWrongCardinality(Matrix m, String desc) {
+        for (int rowDelta : new int[] {-1, 0, 1})
+            for (int colDelta : new int[] {-1, 0, 1}) {
+                if (rowDelta == 0 && colDelta == 0)
+                    continue;
+
+                int rowNew = m.rowSize() + rowDelta;
+                int colNew = m.columnSize() + colDelta;
+
+                if (rowNew < 1 || colNew < 1)
+                    continue;
+
+                testInvalidCardinality(() -> m.map(new 
DenseLocalOnHeapMatrix(rowNew, colNew), (m1, m2) -> m1 + m2),
+                    desc + " wrong cardinality when mapping to size " + rowNew 
+ "x" + colNew);
+            }
+    }
+
+    /** */
+    private void testInvalidCardinality(Supplier<Object> supplier, String 
desc) {
+        try {
+            supplier.get();
+        }
+        catch (CardinalityException ce) {
+            return;
+        }
+
+        fail("Expected exception was not caught for " + desc);
+    }
+
+    /** */
+    private boolean readOnly(Matrix m) {
+        return m instanceof RandomMatrix;
+    }
+
+    /** */
+    private double[][] fillIntAndReturn(Matrix m) {
+        double[][] data = new double[m.rowSize()][m.columnSize()];
+
+        if (readOnly(m)) {
+            for (int i = 0; i < m.rowSize(); i++)
+                for (int j = 0; j < m.columnSize(); j++)
+                    data[i][j] = m.get(i, j);
+
+        }
+        else {
+            for (int i = 0; i < m.rowSize(); i++)
+                for (int j = 0; j < m.columnSize(); j++)
+                    data[i][j] = i * m.rowSize() + j + 1;
+
+            m.assign(data);
+        }
+        return data;
+    }
+
+    /** */
+    private double[][] fillAndReturn(Matrix m) {
+        double[][] data = new double[m.rowSize()][m.columnSize()];
+
+        if (readOnly(m)) {
+            for (int i = 0; i < m.rowSize(); i++)
+                for (int j = 0; j < m.columnSize(); j++)
+                    data[i][j] = m.get(i, j);
+
+        }
+        else {
+            for (int i = 0; i < m.rowSize(); i++)
+                for (int j = 0; j < m.columnSize(); j++)
+                    data[i][j] = -0.5d + Math.random();
+
+            m.assign(data);
+        }
+        return data;
+    }
+
+    /** */
+    private void fillNonSingularMatrix(Matrix m) {
+        for (int i = 0; i < m.rowSize(); i++) {
+            m.set(i, i, 10);
+
+            for (int j = 0; j < m.columnSize(); j++)
+                if (j != i)
+                    m.set(i, j, 0.01d);
+        }
+    }
+
+    /** */
+    private void fillMatrix(Matrix m) {
+        for (int i = 0; i < m.rowSize(); i++)
+            for (int j = 0; j < m.columnSize(); j++)
+                m.set(i, j, Math.random());
+    }
+
+    /** Ignore test for given matrix type. */
+    private boolean ignore(Class<? extends Matrix> clazz) {
+        List<Class<? extends Matrix>> ignoredClasses = 
Arrays.asList(RandomMatrix.class, PivotedMatrixView.class,
+            MatrixView.class, FunctionMatrix.class, 
TransposedMatrixView.class);
+
+        for (Class<? extends Matrix> ignoredClass : ignoredClasses)
+            if (ignoredClass.isAssignableFrom(clazz))
+                return true;
+
+        return false;
+    }
+
+    /** */
+    private Class<? extends Matrix> likeMatrixType(Matrix m) {
+        for (Class<? extends Matrix> clazz : likeTypesMap().keySet())
+            if (clazz.isAssignableFrom(m.getClass()))
+                return likeTypesMap().get(clazz);
+
+        return null;
+    }
+
+    /** */
+    private static Map<Class<? extends Matrix>, Class<? extends Vector>> 
likeVectorTypesMap() {
+        return new LinkedHashMap<Class<? extends Matrix>, Class<? extends 
Vector>>() {{
+            put(DenseLocalOnHeapMatrix.class, DenseLocalOnHeapVector.class);
+            put(DenseLocalOffHeapMatrix.class, DenseLocalOffHeapVector.class);
+            put(RandomMatrix.class, RandomVector.class);
+            put(SparseLocalOnHeapMatrix.class, SparseLocalVector.class);
+            put(DenseLocalOnHeapMatrix.class, DenseLocalOnHeapVector.class);
+            put(DiagonalMatrix.class, DenseLocalOnHeapVector.class); // IMPL 
NOTE per fixture
+            // IMPL NOTE check for presence of all implementations here will 
be done in testHaveLikeMatrix via Fixture
+        }};
+    }
+
+    /** */
+    private static Map<Class<? extends Matrix>, Class<? extends Matrix>> 
likeTypesMap() {
+        return new LinkedHashMap<Class<? extends Matrix>, Class<? extends 
Matrix>>() {{
+            put(DenseLocalOnHeapMatrix.class, DenseLocalOnHeapMatrix.class);
+            put(DenseLocalOffHeapMatrix.class, DenseLocalOffHeapMatrix.class);
+            put(RandomMatrix.class, RandomMatrix.class);
+            put(SparseLocalOnHeapMatrix.class, SparseLocalOnHeapMatrix.class);
+            put(DenseLocalOnHeapMatrix.class, DenseLocalOnHeapMatrix.class);
+            put(DiagonalMatrix.class, DenseLocalOnHeapMatrix.class); // IMPL 
NOTE per fixture
+            put(FunctionMatrix.class, FunctionMatrix.class);
+            // IMPL NOTE check for presence of all implementations here will 
be done in testHaveLikeMatrix via Fixture
+        }};
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/d78e071a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/MatrixKeyMapperForTests.java
----------------------------------------------------------------------
diff --git 
a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/MatrixKeyMapperForTests.java
 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/MatrixKeyMapperForTests.java
new file mode 100644
index 0000000..bc628c9
--- /dev/null
+++ 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/MatrixKeyMapperForTests.java
@@ -0,0 +1,69 @@
+/*
+ * 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.ignite.ml.math.impls.matrix;
+
+import org.apache.ignite.ml.math.MatrixKeyMapper;
+
+/** */
+public class MatrixKeyMapperForTests implements MatrixKeyMapper<Integer> {
+    /** */ private int rows;
+    /** */ private int cols;
+
+    /** */
+    public MatrixKeyMapperForTests() {
+        // No-op.
+    }
+
+    /** */
+    public MatrixKeyMapperForTests(int rows, int cols) {
+        this.rows = rows;
+        this.cols = cols;
+    }
+
+    /** */
+    @Override public Integer apply(int x, int y) {
+        return x * cols + y;
+    }
+
+    /** */
+    @Override public boolean isValid(Integer integer) {
+        return (rows * cols) > integer;
+    }
+
+    /** */
+    @Override public int hashCode() {
+        int hash = 1;
+
+        hash += hash * 31 + rows;
+        hash += hash * 31 + cols;
+
+        return hash;
+    }
+
+    /** */
+    @Override public boolean equals(Object obj) {
+        if (this == obj)
+            return true;
+
+        if (obj == null || getClass() != obj.getClass())
+            return false;
+
+        MatrixKeyMapperForTests that = (MatrixKeyMapperForTests)obj;
+
+        return rows == that.rows && cols == that.cols;
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/d78e071a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/MatrixViewConstructorTest.java
----------------------------------------------------------------------
diff --git 
a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/MatrixViewConstructorTest.java
 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/MatrixViewConstructorTest.java
new file mode 100644
index 0000000..82564cb
--- /dev/null
+++ 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/MatrixViewConstructorTest.java
@@ -0,0 +1,114 @@
+/*
+ * 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.ignite.ml.math.impls.matrix;
+
+import org.apache.ignite.ml.math.Matrix;
+import org.apache.ignite.ml.math.impls.storage.matrix.MatrixDelegateStorage;
+import org.junit.Test;
+
+import static org.junit.Assert.assertArrayEquals;
+import static org.junit.Assert.assertEquals;
+
+/** */
+public class MatrixViewConstructorTest {
+    /** */
+    @Test
+    public void invalidArgsTest() {
+        Matrix m = new DenseLocalOnHeapMatrix(1, 1);
+
+        DenseLocalOnHeapMatrixConstructorTest.verifyAssertionError(() -> new 
MatrixView((Matrix)null, 0, 0, 1, 1),
+            "Null parent matrix.");
+
+        DenseLocalOnHeapMatrixConstructorTest.verifyAssertionError(() -> new 
MatrixView(m, -1, 0, 1, 1),
+            "Invalid row offset.");
+
+        DenseLocalOnHeapMatrixConstructorTest.verifyAssertionError(() -> new 
MatrixView(m, 0, -1, 1, 1),
+            "Invalid col offset.");
+
+        DenseLocalOnHeapMatrixConstructorTest.verifyAssertionError(() -> new 
MatrixView(m, 0, 0, 0, 1),
+            "Invalid rows.");
+
+        DenseLocalOnHeapMatrixConstructorTest.verifyAssertionError(() -> new 
MatrixView(m, 0, 0, 1, 0),
+            "Invalid cols.");
+    }
+
+    /** */
+    @Test
+    public void basicTest() {
+        for (Matrix m : new Matrix[] {
+            new DenseLocalOnHeapMatrix(3, 3),
+            new DenseLocalOnHeapMatrix(3, 4), new DenseLocalOnHeapMatrix(4, 
3)})
+            for (int rowOff : new int[] {0, 1})
+                for (int colOff : new int[] {0, 1})
+                    for (int rows : new int[] {1, 2})
+                        for (int cols : new int[] {1, 2})
+                            basicTest(m, rowOff, colOff, rows, cols);
+    }
+
+    /** */
+    private void basicTest(Matrix parent, int rowOff, int colOff, int rows, 
int cols) {
+        for (int row = 0; row < parent.rowSize(); row++)
+            for (int col = 0; col < parent.columnSize(); col++)
+                parent.set(row, col, row * parent.columnSize() + col + 1);
+
+        Matrix view = new MatrixView(parent, rowOff, colOff, rows, cols);
+
+        assertEquals("Rows in view.", rows, view.rowSize());
+        assertEquals("Cols in view.", cols, view.columnSize());
+
+        for (int row = 0; row < rows; row++)
+            for (int col = 0; col < cols; col++)
+                assertEquals("Unexpected value at " + row + "x" + col,
+                    parent.get(row + rowOff, col + colOff), view.get(row, 
col), 0d);
+
+        for (int row = 0; row < rows; row++)
+            for (int col = 0; col < cols; col++)
+                view.set(row, col, 0d);
+
+        for (int row = 0; row < rows; row++)
+            for (int col = 0; col < cols; col++)
+                assertEquals("Unexpected value set at " + row + "x" + col,
+                    0d, parent.get(row + rowOff, col + colOff), 0d);
+    }
+
+    /** */
+    @Test
+    public void attributeTest() {
+        for (Matrix m : new Matrix[] {
+            new DenseLocalOnHeapMatrix(3, 3),
+            new DenseLocalOnHeapMatrix(3, 4), new DenseLocalOnHeapMatrix(4, 
3)}) {
+            MatrixView matrixView = new MatrixView(m, 0, 0, m.rowSize(), 
m.columnSize());
+
+            MatrixDelegateStorage delegateStorage = 
(MatrixDelegateStorage)matrixView.getStorage();
+
+            assertEquals(m.rowSize(), matrixView.rowSize());
+            assertEquals(m.columnSize(), matrixView.columnSize());
+
+            assertEquals(m.rowSize(), (delegateStorage).rowsLength());
+            assertEquals(m.columnSize(), (delegateStorage).columnsLength());
+
+            assertEquals(m.isSequentialAccess(), 
delegateStorage.isSequentialAccess());
+            assertEquals(m.isRandomAccess(), delegateStorage.isRandomAccess());
+            assertEquals(m.isDistributed(), delegateStorage.isDistributed());
+            assertEquals(m.isDense(), delegateStorage.isDense());
+            assertEquals(m.isArrayBased(), delegateStorage.isArrayBased());
+
+            assertArrayEquals(m.getStorage().data(), delegateStorage.data());
+        }
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/d78e071a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/PivotedMatrixViewConstructorTest.java
----------------------------------------------------------------------
diff --git 
a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/PivotedMatrixViewConstructorTest.java
 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/PivotedMatrixViewConstructorTest.java
new file mode 100644
index 0000000..87bf3ad
--- /dev/null
+++ 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/PivotedMatrixViewConstructorTest.java
@@ -0,0 +1,129 @@
+/*
+ * 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.ignite.ml.math.impls.matrix;
+
+import java.util.Arrays;
+import org.apache.ignite.ml.math.Matrix;
+import org.junit.Assert;
+import org.junit.Test;
+
+import static org.junit.Assert.assertEquals;
+import static org.junit.Assert.assertFalse;
+import static org.junit.Assert.assertTrue;
+
+/** */
+public class PivotedMatrixViewConstructorTest {
+    /** */
+    @Test
+    public void invalidArgsTest() {
+        Matrix m = new DenseLocalOnHeapMatrix(1, 1);
+
+        int[] pivot = new int[] {0};
+
+        DenseLocalOnHeapMatrixConstructorTest.verifyAssertionError(() -> new 
PivotedMatrixView(null),
+            "Null parent matrix.");
+
+        DenseLocalOnHeapMatrixConstructorTest.verifyAssertionError(() -> new 
PivotedMatrixView(null, pivot),
+            "Null parent matrix, with pivot.");
+
+        DenseLocalOnHeapMatrixConstructorTest.verifyAssertionError(() -> new 
PivotedMatrixView(m, null),
+            "Null pivot.");
+
+        DenseLocalOnHeapMatrixConstructorTest.verifyAssertionError(() -> new 
PivotedMatrixView(m, null, pivot),
+            "Null row pivot.");
+
+        DenseLocalOnHeapMatrixConstructorTest.verifyAssertionError(() -> new 
PivotedMatrixView(m, pivot, null),
+            "Null col pivot.");
+    }
+
+    /** */
+    @Test
+    public void basicTest() {
+        Matrix m = new DenseLocalOnHeapMatrix(2, 2);
+
+        int[] pivot = new int[] {0, 1};
+
+        PivotedMatrixView view = new PivotedMatrixView(m, pivot);
+
+        assertEquals("Rows in view.", m.rowSize(), view.rowSize());
+        assertEquals("Cols in view.", m.columnSize(), view.columnSize());
+
+        assertTrue("Row pivot array in view.", Arrays.equals(pivot, 
view.rowPivot()));
+        assertTrue("Col pivot array in view.", Arrays.equals(pivot, 
view.columnPivot()));
+
+        Assert.assertEquals("Base matrix in view.", m, view.getBaseMatrix());
+
+        assertEquals("Row pivot value in view.", 0, view.rowPivot(0));
+        assertEquals("Col pivot value in view.", 0, view.columnPivot(0));
+
+        assertEquals("Row unpivot value in view.", 0, view.rowUnpivot(0));
+        assertEquals("Col unpivot value in view.", 0, view.columnUnpivot(0));
+
+        Matrix swap = view.swap(1, 1);
+
+        for (int row = 0; row < view.rowSize(); row++)
+            for (int col = 0; col < view.columnSize(); col++)
+                assertEquals("Unexpected swap value set at (" + row + "," + 
col + ").",
+                    view.get(row, col), swap.get(row, col), 0d);
+
+        //noinspection EqualsWithItself
+        assertTrue("View is expected to be equal to self.", view.equals(view));
+        //noinspection ObjectEqualsNull
+        assertFalse("View is expected to be not equal to null.", 
view.equals(null));
+    }
+
+    /** */
+    @Test
+    public void pivotTest() {
+        int[] pivot = new int[] {2, 1, 0, 3};
+
+        for (Matrix m : new Matrix[] {
+            new DenseLocalOnHeapMatrix(3, 3),
+            new DenseLocalOnHeapMatrix(3, 4), new DenseLocalOnHeapMatrix(4, 
3)})
+            pivotTest(m, pivot);
+    }
+
+    /** */
+    private void pivotTest(Matrix parent, int[] pivot) {
+        for (int row = 0; row < parent.rowSize(); row++)
+            for (int col = 0; col < parent.columnSize(); col++)
+                parent.set(row, col, row * parent.columnSize() + col + 1);
+
+        Matrix view = new PivotedMatrixView(parent, pivot);
+
+        int rows = parent.rowSize();
+        int cols = parent.columnSize();
+
+        assertEquals("Rows in view.", rows, view.rowSize());
+        assertEquals("Cols in view.", cols, view.columnSize());
+
+        for (int row = 0; row < rows; row++)
+            for (int col = 0; col < cols; col++)
+                assertEquals("Unexpected value at " + row + "x" + col,
+                    parent.get(pivot[row], pivot[col]), view.get(row, col), 
0d);
+
+        int min = rows < cols ? rows : cols;
+
+        for (int idx = 0; idx < min; idx++)
+            view.set(idx, idx, 0d);
+
+        for (int idx = 0; idx < min; idx++)
+            assertEquals("Unexpected value set at " + idx,
+                0d, parent.get(pivot[idx], pivot[idx]), 0d);
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/d78e071a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/RandomMatrixConstructorTest.java
----------------------------------------------------------------------
diff --git 
a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/RandomMatrixConstructorTest.java
 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/RandomMatrixConstructorTest.java
new file mode 100644
index 0000000..558e4d8
--- /dev/null
+++ 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/RandomMatrixConstructorTest.java
@@ -0,0 +1,71 @@
+/*
+ * 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.ignite.ml.math.impls.matrix;
+
+import org.junit.Test;
+
+import static org.junit.Assert.assertEquals;
+import static org.junit.Assert.assertFalse;
+import static org.junit.Assert.assertTrue;
+
+/** */
+public class RandomMatrixConstructorTest {
+    /** */
+    @Test
+    public void invalidArgsTest() {
+        DenseLocalOnHeapMatrixConstructorTest.verifyAssertionError(() -> new 
RandomMatrix(0, 1), "invalid row parameter");
+
+        DenseLocalOnHeapMatrixConstructorTest.verifyAssertionError(() -> new 
RandomMatrix(1, 0), "invalid col parameter");
+
+        DenseLocalOnHeapMatrixConstructorTest.verifyAssertionError(() -> new 
RandomMatrix(0, 1, true), "invalid row parameter, fastHash true");
+
+        DenseLocalOnHeapMatrixConstructorTest.verifyAssertionError(() -> new 
RandomMatrix(1, 0, true), "invalid col parameter, fastHash true");
+
+        DenseLocalOnHeapMatrixConstructorTest.verifyAssertionError(() -> new 
RandomMatrix(0, 1, false), "invalid row parameter, fastHash false");
+
+        DenseLocalOnHeapMatrixConstructorTest.verifyAssertionError(() -> new 
RandomMatrix(1, 0, false), "invalid col parameter, fastHash false");
+    }
+
+    /** */
+    @Test
+    public void basicTest() {
+        assertEquals("Expected number of rows, int parameters.", 1,
+            new RandomMatrix(1, 2).rowSize());
+
+        assertEquals("Expected number of cols, int parameters.", 1,
+            new RandomMatrix(2, 1).columnSize());
+
+        assertEquals("Expected number of rows, int parameters, fastHash 
true.", 1,
+            new RandomMatrix(1, 2, true).rowSize());
+
+        assertEquals("Expected number of cols, int parameters, fastHash 
true.", 1,
+            new RandomMatrix(2, 1, true).columnSize());
+
+        assertEquals("Expected number of rows, int parameters, fastHash 
false.", 1,
+            new RandomMatrix(1, 2, false).rowSize());
+
+        assertEquals("Expected number of cols, int parameters, fastHash 
false.", 1,
+            new RandomMatrix(2, 1, false).columnSize());
+
+        RandomMatrix m = new RandomMatrix(1, 1);
+        //noinspection EqualsWithItself
+        assertTrue("Matrix is expected to be equal to self.", m.equals(m));
+        //noinspection ObjectEqualsNull
+        assertFalse("Matrix is expected to be not equal to null.", 
m.equals(null));
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/d78e071a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/SparseDistributedMatrixTest.java
----------------------------------------------------------------------
diff --git 
a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/SparseDistributedMatrixTest.java
 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/SparseDistributedMatrixTest.java
new file mode 100644
index 0000000..8985806
--- /dev/null
+++ 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/SparseDistributedMatrixTest.java
@@ -0,0 +1,265 @@
+// @java.file.header
+
+/*  _________        _____ __________________        _____
+ *  __  ____/___________(_)______  /__  ____/______ ____(_)_______
+ *  _  / __  __  ___/__  / _  __  / _  / __  _  __ `/__  / __  __ \
+ *  / /_/ /  _  /    _  /  / /_/ /  / /_/ /  / /_/ / _  /  _  / / /
+ *  \____/   /_/     /_/   \_,__/   \____/   \__,_/  /_/   /_/ /_/
+ */
+
+/*
+ * 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.ignite.ml.math.impls.matrix;
+
+import java.io.ByteArrayInputStream;
+import java.io.ByteArrayOutputStream;
+import java.io.IOException;
+import java.io.ObjectInputStream;
+import java.io.ObjectOutputStream;
+import org.apache.ignite.Ignite;
+import org.apache.ignite.internal.util.IgniteUtils;
+import org.apache.ignite.ml.math.Matrix;
+import org.apache.ignite.ml.math.StorageConstants;
+import org.apache.ignite.ml.math.exceptions.UnsupportedOperationException;
+import org.apache.ignite.ml.math.impls.MathTestConstants;
+import org.apache.ignite.testframework.junits.common.GridCommonAbstractTest;
+import org.apache.ignite.testframework.junits.common.GridCommonTest;
+
+import static org.apache.ignite.ml.math.impls.MathTestConstants.UNEXPECTED_VAL;
+
+/**
+ * Tests for {@link SparseDistributedMatrix}.
+ */
+@GridCommonTest(group = "Distributed Models")
+public class SparseDistributedMatrixTest extends GridCommonAbstractTest {
+    /** Number of nodes in grid */
+    private static final int NODE_COUNT = 3;
+    /** Cache name. */
+    private static final String CACHE_NAME = "test-cache";
+    /** Precision. */
+    private static final double PRECISION = 0.0;
+    /** Grid instance. */
+    private Ignite ignite;
+    /** Matrix rows */
+    private final int rows = MathTestConstants.STORAGE_SIZE;
+    /** Matrix cols */
+    private final int cols = MathTestConstants.STORAGE_SIZE;
+    /** Matrix for tests */
+    private SparseDistributedMatrix cacheMatrix;
+
+    /**
+     * Default constructor.
+     */
+    public SparseDistributedMatrixTest() {
+        super(false);
+    }
+
+    /** {@inheritDoc} */
+    @Override protected void beforeTestsStarted() throws Exception {
+        for (int i = 1; i <= NODE_COUNT; i++)
+            startGrid(i);
+    }
+
+    /** {@inheritDoc} */
+    @Override protected void afterTestsStopped() throws Exception {
+        stopAllGrids();
+    }
+
+    /**
+     * {@inheritDoc}
+     */
+    @Override protected void beforeTest() throws Exception {
+        ignite = grid(NODE_COUNT);
+
+        ignite.configuration().setPeerClassLoadingEnabled(true);
+    }
+
+    /** {@inheritDoc} */
+    @Override protected void afterTest() throws Exception {
+        ignite.destroyCache(CACHE_NAME);
+
+        if (cacheMatrix != null) {
+            cacheMatrix.destroy();
+            cacheMatrix = null;
+        }
+    }
+
+    /** */
+    public void testGetSet() throws Exception {
+        
IgniteUtils.setCurrentIgniteName(ignite.configuration().getIgniteInstanceName());
+
+        cacheMatrix = new SparseDistributedMatrix(rows, cols, 
StorageConstants.ROW_STORAGE_MODE, StorageConstants.RANDOM_ACCESS_MODE);
+
+        for (int i = 0; i < rows; i++) {
+            for (int j = 0; j < cols; j++) {
+                double v = Math.random();
+                cacheMatrix.set(i, j, v);
+
+                assert Double.compare(v, cacheMatrix.get(i, j)) == 0;
+            }
+        }
+    }
+
+    /** */
+    public void testExternalize() throws IOException, ClassNotFoundException {
+        
IgniteUtils.setCurrentIgniteName(ignite.configuration().getIgniteInstanceName());
+
+        cacheMatrix = new SparseDistributedMatrix(rows, cols, 
StorageConstants.ROW_STORAGE_MODE, StorageConstants.RANDOM_ACCESS_MODE);
+
+        cacheMatrix.set(1, 1, 1.0);
+
+        ByteArrayOutputStream byteArrOutputStream = new 
ByteArrayOutputStream();
+        ObjectOutputStream objOutputStream = new 
ObjectOutputStream(byteArrOutputStream);
+
+        objOutputStream.writeObject(cacheMatrix);
+
+        ByteArrayInputStream byteArrInputStream = new 
ByteArrayInputStream(byteArrOutputStream.toByteArray());
+        ObjectInputStream objInputStream = new 
ObjectInputStream(byteArrInputStream);
+
+        SparseDistributedMatrix objRestored = 
(SparseDistributedMatrix)objInputStream.readObject();
+
+        assertTrue(MathTestConstants.VAL_NOT_EQUALS, 
cacheMatrix.equals(objRestored));
+        assertEquals(MathTestConstants.VAL_NOT_EQUALS, objRestored.get(1, 1), 
1.0, 0.0);
+    }
+
+    /** Test simple math. */
+    public void testMath() {
+        
IgniteUtils.setCurrentIgniteName(ignite.configuration().getIgniteInstanceName());
+
+        cacheMatrix = new SparseDistributedMatrix(rows, cols, 
StorageConstants.ROW_STORAGE_MODE, StorageConstants.RANDOM_ACCESS_MODE);
+        initMtx(cacheMatrix);
+
+        cacheMatrix.assign(2.0);
+        for (int i = 0; i < cacheMatrix.rowSize(); i++)
+            for (int j = 0; j < cacheMatrix.columnSize(); j++)
+                assertEquals(UNEXPECTED_VAL, 2.0, cacheMatrix.get(i, j), 
PRECISION);
+
+        cacheMatrix.plus(3.0);
+        for (int i = 0; i < cacheMatrix.rowSize(); i++)
+            for (int j = 0; j < cacheMatrix.columnSize(); j++)
+                assertEquals(UNEXPECTED_VAL, 5.0, cacheMatrix.get(i, j), 
PRECISION);
+
+        cacheMatrix.times(2.0);
+        for (int i = 0; i < cacheMatrix.rowSize(); i++)
+            for (int j = 0; j < cacheMatrix.columnSize(); j++)
+                assertEquals(UNEXPECTED_VAL, 10.0, cacheMatrix.get(i, j), 
PRECISION);
+
+        cacheMatrix.divide(10.0);
+        for (int i = 0; i < cacheMatrix.rowSize(); i++)
+            for (int j = 0; j < cacheMatrix.columnSize(); j++)
+                assertEquals(UNEXPECTED_VAL, 1.0, cacheMatrix.get(i, j), 
PRECISION);
+
+        assertEquals(UNEXPECTED_VAL, cacheMatrix.rowSize() * 
cacheMatrix.columnSize(), cacheMatrix.sum(), PRECISION);
+    }
+
+    /** */
+    public void testMinMax() {
+        
IgniteUtils.setCurrentIgniteName(ignite.configuration().getIgniteInstanceName());
+
+        cacheMatrix = new SparseDistributedMatrix(rows, cols, 
StorageConstants.ROW_STORAGE_MODE, StorageConstants.RANDOM_ACCESS_MODE);
+
+        for (int i = 0; i < cacheMatrix.rowSize(); i++)
+            for (int j = 0; j < cacheMatrix.columnSize(); j++)
+                cacheMatrix.set(i, j, i * cols + j + 1);
+
+        assertEquals(UNEXPECTED_VAL, 1.0, cacheMatrix.minValue(), PRECISION);
+        assertEquals(UNEXPECTED_VAL, rows * cols, cacheMatrix.maxValue(), 
PRECISION);
+
+        for (int i = 0; i < cacheMatrix.rowSize(); i++)
+            for (int j = 0; j < cacheMatrix.columnSize(); j++)
+                cacheMatrix.set(i, j, -1.0 * (i * cols + j + 1));
+
+        assertEquals(UNEXPECTED_VAL, -rows * cols, cacheMatrix.minValue(), 
PRECISION);
+        assertEquals(UNEXPECTED_VAL, -1.0, cacheMatrix.maxValue(), PRECISION);
+
+        for (int i = 0; i < cacheMatrix.rowSize(); i++)
+            for (int j = 0; j < cacheMatrix.columnSize(); j++)
+                cacheMatrix.set(i, j, i * cols + j);
+
+        assertEquals(UNEXPECTED_VAL, 1.0, cacheMatrix.minValue(), PRECISION);
+        assertEquals(UNEXPECTED_VAL, rows * cols - 1.0, 
cacheMatrix.maxValue(), PRECISION);
+    }
+
+    /** */
+    public void testMap() {
+        
IgniteUtils.setCurrentIgniteName(ignite.configuration().getIgniteInstanceName());
+
+        cacheMatrix = new SparseDistributedMatrix(rows, cols, 
StorageConstants.ROW_STORAGE_MODE, StorageConstants.RANDOM_ACCESS_MODE);
+        initMtx(cacheMatrix);
+
+        cacheMatrix.map(i -> 100.0);
+        for (int i = 0; i < cacheMatrix.rowSize(); i++)
+            for (int j = 0; j < cacheMatrix.columnSize(); j++)
+                assertEquals(UNEXPECTED_VAL, 100.0, cacheMatrix.get(i, j), 
PRECISION);
+    }
+
+    /** */
+    public void testCopy() {
+        
IgniteUtils.setCurrentIgniteName(ignite.configuration().getIgniteInstanceName());
+
+        cacheMatrix = new SparseDistributedMatrix(rows, cols, 
StorageConstants.ROW_STORAGE_MODE, StorageConstants.RANDOM_ACCESS_MODE);
+
+        try {
+            cacheMatrix.copy();
+            fail("UnsupportedOperationException expected.");
+        }
+        catch (UnsupportedOperationException e) {
+            return;
+        }
+        fail("UnsupportedOperationException expected.");
+    }
+
+    /** */
+    public void testLike() {
+        
IgniteUtils.setCurrentIgniteName(ignite.configuration().getIgniteInstanceName());
+
+        cacheMatrix = new SparseDistributedMatrix(rows, cols, 
StorageConstants.ROW_STORAGE_MODE, StorageConstants.RANDOM_ACCESS_MODE);
+
+        try {
+            cacheMatrix.like(1, 1);
+            fail("UnsupportedOperationException expected.");
+        }
+        catch (UnsupportedOperationException e) {
+            return;
+        }
+        fail("UnsupportedOperationException expected.");
+    }
+
+    /** */
+    public void testLikeVector() {
+        
IgniteUtils.setCurrentIgniteName(ignite.configuration().getIgniteInstanceName());
+
+        cacheMatrix = new SparseDistributedMatrix(rows, cols, 
StorageConstants.ROW_STORAGE_MODE, StorageConstants.RANDOM_ACCESS_MODE);
+
+        try {
+            cacheMatrix.likeVector(1);
+            fail("UnsupportedOperationException expected.");
+        }
+        catch (UnsupportedOperationException e) {
+            return;
+        }
+        fail("UnsupportedOperationException expected.");
+    }
+
+    /** */
+    private void initMtx(Matrix m) {
+        for (int i = 0; i < m.rowSize(); i++)
+            for (int j = 0; j < m.columnSize(); j++)
+                m.set(i, j, 1.0);
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/d78e071a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/SparseLocalOnHeapMatrixConstructorTest.java
----------------------------------------------------------------------
diff --git 
a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/SparseLocalOnHeapMatrixConstructorTest.java
 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/SparseLocalOnHeapMatrixConstructorTest.java
new file mode 100644
index 0000000..bc05eb7
--- /dev/null
+++ 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/SparseLocalOnHeapMatrixConstructorTest.java
@@ -0,0 +1,53 @@
+/*
+ * 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.ignite.ml.math.impls.matrix;
+
+import org.junit.Test;
+
+import static org.junit.Assert.assertEquals;
+import static org.junit.Assert.assertFalse;
+import static org.junit.Assert.assertTrue;
+
+/** */
+public class SparseLocalOnHeapMatrixConstructorTest {
+    /** */
+    @Test
+    public void invalidArgsTest() {
+        DenseLocalOnHeapMatrixConstructorTest.verifyAssertionError(() -> new 
SparseLocalOnHeapMatrix(0, 1),
+            "invalid row parameter");
+
+        DenseLocalOnHeapMatrixConstructorTest.verifyAssertionError(() -> new 
SparseLocalOnHeapMatrix(1, 0),
+            "invalid col parameter");
+    }
+
+    /** */
+    @Test
+    public void basicTest() {
+        assertEquals("Expected number of rows.", 1,
+            new SparseLocalOnHeapMatrix(1, 2).rowSize());
+
+        assertEquals("Expected number of cols, int parameters.", 1,
+            new SparseLocalOnHeapMatrix(2, 1).columnSize());
+
+        SparseLocalOnHeapMatrix m = new SparseLocalOnHeapMatrix(1, 1);
+        //noinspection EqualsWithItself
+        assertTrue("Matrix is expected to be equal to self.", m.equals(m));
+        //noinspection ObjectEqualsNull
+        assertFalse("Matrix is expected to be not equal to null.", 
m.equals(null));
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/d78e071a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/TransposedMatrixViewTest.java
----------------------------------------------------------------------
diff --git 
a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/TransposedMatrixViewTest.java
 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/TransposedMatrixViewTest.java
new file mode 100644
index 0000000..22ec7cc
--- /dev/null
+++ 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/matrix/TransposedMatrixViewTest.java
@@ -0,0 +1,87 @@
+/*
+ * 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.ignite.ml.math.impls.matrix;
+
+import org.apache.ignite.ml.math.ExternalizeTest;
+import org.apache.ignite.ml.math.exceptions.UnsupportedOperationException;
+import org.apache.ignite.ml.math.impls.MathTestConstants;
+import org.junit.Before;
+import org.junit.Test;
+
+import static org.junit.Assert.assertEquals;
+
+/**
+ * Tests for {@link TransposedMatrixView}.
+ */
+public class TransposedMatrixViewTest extends 
ExternalizeTest<TransposedMatrixView> {
+    /** */
+    private static final String UNEXPECTED_VALUE = "Unexpected value";
+    /** */
+    private TransposedMatrixView testMatrix;
+    /** */
+    private DenseLocalOnHeapMatrix parent;
+
+    /** */
+    @Before
+    public void setup() {
+        parent = new DenseLocalOnHeapMatrix(MathTestConstants.STORAGE_SIZE, 
MathTestConstants.STORAGE_SIZE);
+        fillMatrix(parent);
+        testMatrix = new TransposedMatrixView(parent);
+    }
+
+    /** {@inheritDoc} */
+    @Override public void externalizeTest() {
+        externalizeTest(testMatrix);
+    }
+
+    /** */
+    @Test
+    public void testView() {
+        assertEquals(UNEXPECTED_VALUE, parent.rowSize(), 
testMatrix.columnSize());
+        assertEquals(UNEXPECTED_VALUE, parent.columnSize(), 
testMatrix.rowSize());
+
+        for (int i = 0; i < parent.rowSize(); i++)
+            for (int j = 0; j < parent.columnSize(); j++)
+                assertEquals(UNEXPECTED_VALUE, parent.get(i, j), 
testMatrix.get(j, i), 0d);
+    }
+
+    /** */
+    @Test
+    public void testNullParams() {
+        DenseLocalOnHeapMatrixConstructorTest.verifyAssertionError(() -> new 
TransposedMatrixView(null), "Null Matrix parameter");
+    }
+
+    /** */
+    @Test(expected = UnsupportedOperationException.class)
+    public void testLike() {
+        testMatrix.like(0, 0);
+    }
+
+    /** */
+    @Test(expected = UnsupportedOperationException.class)
+    public void testLikeVector() {
+        testMatrix.likeVector(0);
+    }
+
+    /** */
+    private void fillMatrix(DenseLocalOnHeapMatrix mtx) {
+        for (int i = 0; i < mtx.rowSize(); i++)
+            for (int j = 0; j < mtx.columnSize(); j++)
+                mtx.setX(i, j, i * mtx.rowSize() + j);
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/d78e071a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixArrayStorageTest.java
----------------------------------------------------------------------
diff --git 
a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixArrayStorageTest.java
 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixArrayStorageTest.java
new file mode 100644
index 0000000..569ed57
--- /dev/null
+++ 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixArrayStorageTest.java
@@ -0,0 +1,63 @@
+/*
+ * 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.ignite.ml.math.impls.storage.matrix;
+
+import org.apache.ignite.ml.math.impls.MathTestConstants;
+import org.junit.Test;
+
+import static org.junit.Assert.assertFalse;
+import static org.junit.Assert.assertNotNull;
+import static org.junit.Assert.assertTrue;
+
+/**
+ * Unit tests for {@link ArrayMatrixStorage}.
+ */
+public class MatrixArrayStorageTest extends 
MatrixBaseStorageTest<ArrayMatrixStorage> {
+    /** {@inheritDoc} */
+    @Override public void setUp() {
+        storage = new ArrayMatrixStorage(MathTestConstants.STORAGE_SIZE, 
MathTestConstants.STORAGE_SIZE);
+    }
+
+    /** */
+    @Test
+    public void isSequentialAccess() throws Exception {
+        assertFalse(MathTestConstants.UNEXPECTED_VAL, 
storage.isSequentialAccess());
+    }
+
+    /** */
+    @Test
+    public void isDense() throws Exception {
+        assertTrue(MathTestConstants.UNEXPECTED_VAL, storage.isDense());
+    }
+
+    /** */
+    @Test
+    public void isArrayBased() throws Exception {
+        assertTrue(MathTestConstants.UNEXPECTED_VAL, storage.isArrayBased());
+    }
+
+    /** */
+    @Test
+    public void data() throws Exception {
+        double[][] data = storage.data();
+        assertNotNull(MathTestConstants.NULL_VAL, data);
+        assertTrue(MathTestConstants.UNEXPECTED_VAL, data.length == 
MathTestConstants.STORAGE_SIZE);
+        assertTrue(MathTestConstants.UNEXPECTED_VAL, data[0].length == 
MathTestConstants.STORAGE_SIZE);
+    }
+
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/d78e071a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixBaseStorageTest.java
----------------------------------------------------------------------
diff --git 
a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixBaseStorageTest.java
 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixBaseStorageTest.java
new file mode 100644
index 0000000..94e87c2
--- /dev/null
+++ 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixBaseStorageTest.java
@@ -0,0 +1,89 @@
+/*
+ * 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.ignite.ml.math.impls.storage.matrix;
+
+import org.apache.ignite.ml.math.ExternalizeTest;
+import org.apache.ignite.ml.math.MatrixStorage;
+import org.apache.ignite.ml.math.impls.MathTestConstants;
+import org.junit.After;
+import org.junit.Assert;
+import org.junit.Before;
+import org.junit.Test;
+
+import static org.junit.Assert.assertEquals;
+
+/**
+ * Abstract class with base tests for each matrix storage.
+ */
+public abstract class MatrixBaseStorageTest<T extends MatrixStorage> extends 
ExternalizeTest<T> {
+    /** */
+    protected T storage;
+
+    /** */
+    @Before
+    public abstract void setUp();
+
+    /** */
+    @After
+    public void tearDown() throws Exception {
+        storage.destroy();
+    }
+
+    /** */
+    @Test
+    public void getSet() throws Exception {
+        int rows = MathTestConstants.STORAGE_SIZE;
+        int cols = MathTestConstants.STORAGE_SIZE;
+
+        for (int i = 0; i < rows; i++) {
+            for (int j = 0; j < cols; j++) {
+                double data = Math.random();
+
+                storage.set(i, j, data);
+
+                Assert.assertEquals(MathTestConstants.VAL_NOT_EQUALS, 
storage.get(i, j), data, MathTestConstants.NIL_DELTA);
+            }
+        }
+    }
+
+    /** */
+    @Test
+    public void columnSize() throws Exception {
+        assertEquals(MathTestConstants.VAL_NOT_EQUALS, storage.columnSize(), 
MathTestConstants.STORAGE_SIZE);
+    }
+
+    /** */
+    @Test
+    public void rowSize() throws Exception {
+        assertEquals(MathTestConstants.VAL_NOT_EQUALS, storage.rowSize(), 
MathTestConstants.STORAGE_SIZE);
+    }
+
+    /** */
+    @Override public void externalizeTest() {
+        fillMatrix();
+        super.externalizeTest(storage);
+    }
+
+    /** */
+    protected void fillMatrix() {
+        for (int i = 0; i < storage.rowSize(); i++) {
+            for (int j = 0; j < storage.columnSize(); j++)
+                storage.set(i, j, Math.random());
+        }
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/d78e071a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixOffHeapStorageTest.java
----------------------------------------------------------------------
diff --git 
a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixOffHeapStorageTest.java
 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixOffHeapStorageTest.java
new file mode 100644
index 0000000..52d57fd
--- /dev/null
+++ 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixOffHeapStorageTest.java
@@ -0,0 +1,39 @@
+/*
+ * 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.ignite.ml.math.impls.storage.matrix;
+
+import org.apache.ignite.ml.math.impls.MathTestConstants;
+import org.junit.Test;
+
+import static org.junit.Assert.assertNull;
+
+/**
+ * Unit tests for {@link DenseOffHeapMatrixStorage}.
+ */
+public class MatrixOffHeapStorageTest extends 
MatrixBaseStorageTest<DenseOffHeapMatrixStorage> {
+    /** {@inheritDoc} */
+    @Override public void setUp() {
+        storage = new 
DenseOffHeapMatrixStorage(MathTestConstants.STORAGE_SIZE, 
MathTestConstants.STORAGE_SIZE);
+    }
+
+    /** */
+    @Test
+    public void data() throws Exception {
+        assertNull(MathTestConstants.UNEXPECTED_VAL, storage.data());
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/d78e071a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixStorageFixtures.java
----------------------------------------------------------------------
diff --git 
a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixStorageFixtures.java
 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixStorageFixtures.java
new file mode 100644
index 0000000..03473cf
--- /dev/null
+++ 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixStorageFixtures.java
@@ -0,0 +1,137 @@
+/*
+ * 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.ignite.ml.math.impls.storage.matrix;
+
+import java.util.Collections;
+import java.util.Iterator;
+import java.util.List;
+import java.util.NoSuchElementException;
+import java.util.function.BiConsumer;
+import java.util.function.Supplier;
+import org.apache.ignite.ml.math.MatrixStorage;
+import org.apache.ignite.ml.math.StorageConstants;
+import org.jetbrains.annotations.NotNull;
+
+/**
+ *
+ */
+class MatrixStorageFixtures {
+    /** */
+    private static final List<Supplier<Iterable<MatrixStorage>>> suppliers = 
Collections.singletonList(
+        (Supplier<Iterable<MatrixStorage>>) 
SparseLocalMatrixStorageFixture::new
+    );
+
+    /** */
+    void consumeSampleStorages(BiConsumer<Integer, Integer> paramsConsumer,
+        BiConsumer<MatrixStorage, String> consumer) {
+        for (Supplier<Iterable<MatrixStorage>> fixtureSupplier : suppliers) {
+            final Iterable<MatrixStorage> fixture = fixtureSupplier.get();
+
+            for (MatrixStorage matrixStorage : fixture) {
+                if (paramsConsumer != null)
+                    paramsConsumer.accept(matrixStorage.rowSize(), 
matrixStorage.columnSize());
+
+                consumer.accept(matrixStorage, fixture.toString());
+            }
+        }
+    }
+
+    /** */
+    private static class SparseLocalMatrixStorageFixture implements 
Iterable<MatrixStorage> {
+        /** */
+        private final Integer[] rows = new Integer[] {1, 2, 4, 8, 16, 32, 64, 
128, 256, 512, 1024, 512, 1024, null};
+        /** */
+        private final Integer[] cols = new Integer[] {1, 2, 4, 8, 16, 32, 64, 
128, 256, 512, 1024, 1024, 512, null};
+        /** */
+        private final Integer[] randomAccess = new Integer[] 
{StorageConstants.SEQUENTIAL_ACCESS_MODE, StorageConstants.RANDOM_ACCESS_MODE, 
null};
+        /** */
+        private final Integer[] rowStorage = new Integer[] 
{StorageConstants.ROW_STORAGE_MODE, StorageConstants.COLUMN_STORAGE_MODE, null};
+        /** */
+        private int sizeIdx = 0;
+        /** */
+        private int acsModeIdx = 0;
+        /** */
+        private int stoModeIdx = 0;
+
+        /** {@inheritDoc} */
+        @NotNull
+        @Override public Iterator<MatrixStorage> iterator() {
+            return new Iterator<MatrixStorage>() {
+                /** {@inheritDoc} */
+                @Override public boolean hasNext() {
+                    return hasNextCol(sizeIdx) && hasNextRow(sizeIdx)
+                        && hasNextAcsMode(acsModeIdx) && 
hasNextStoMode(stoModeIdx);
+                }
+
+                /** {@inheritDoc} */
+                @Override public MatrixStorage next() {
+                    if (!hasNext())
+                        throw new 
NoSuchElementException(SparseLocalMatrixStorageFixture.this.toString());
+
+                    MatrixStorage storage = new SparseLocalOnHeapMatrixStorage(
+                        rows[sizeIdx], cols[sizeIdx], 
randomAccess[acsModeIdx], rowStorage[stoModeIdx]);
+
+                    nextIdx();
+
+                    return storage;
+                }
+
+                private void nextIdx() {
+                    if (hasNextStoMode(stoModeIdx + 1)) {
+                        stoModeIdx++;
+
+                        return;
+                    }
+
+                    stoModeIdx = 0;
+
+                    if (hasNextAcsMode(acsModeIdx + 1)) {
+                        acsModeIdx++;
+
+                        return;
+                    }
+
+                    acsModeIdx = 0;
+                    sizeIdx++;
+                }
+            };
+        }
+
+        /** {@inheritDoc} */
+        @Override public String toString() {
+            return "SparseLocalMatrixStorageFixture{ " + "rows=" + 
rows[sizeIdx] + ", cols=" + cols[sizeIdx] +
+                ", access mode=" + randomAccess[acsModeIdx] + ", storage 
mode=" + rowStorage[stoModeIdx] + "}";
+        }
+
+        /** */ private boolean hasNextRow(int idx) {
+            return rows[idx] != null;
+        }
+
+        /** */ private boolean hasNextCol(int idx) {
+            return cols[idx] != null;
+        }
+
+        /** */ private boolean hasNextAcsMode(int idx) {
+            return randomAccess[idx] != null;
+        }
+
+        /** */ private boolean hasNextStoMode(int idx) {
+            return rowStorage[idx] != null;
+        }
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/d78e071a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixStorageImplementationTest.java
----------------------------------------------------------------------
diff --git 
a/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixStorageImplementationTest.java
 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixStorageImplementationTest.java
new file mode 100644
index 0000000..72daeca
--- /dev/null
+++ 
b/modules/ml/src/test/java/org/apache/ignite/ml/math/impls/storage/matrix/MatrixStorageImplementationTest.java
@@ -0,0 +1,73 @@
+/*
+ * 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.ignite.ml.math.impls.storage.matrix;
+
+import java.util.concurrent.atomic.AtomicReference;
+import java.util.function.BiConsumer;
+import org.apache.ignite.ml.math.ExternalizeTest;
+import org.apache.ignite.ml.math.MatrixStorage;
+import org.junit.Test;
+
+import static org.junit.Assert.assertTrue;
+
+/**
+ * Unit tests for {@link MatrixStorage} implementations.
+ *
+ * TODO: add attribute tests.
+ */
+public class MatrixStorageImplementationTest extends 
ExternalizeTest<MatrixStorage> {
+    /**
+     * The columnSize() and the rowSize() test.
+     */
+    @Test
+    public void sizeTest() {
+        final AtomicReference<Integer> expRowSize = new AtomicReference<>(0);
+        final AtomicReference<Integer> expColSize = new AtomicReference<>(0);
+
+        consumeSampleStorages((x, y) -> {
+                expRowSize.set(x);
+                expColSize.set(y);
+            },
+            (ms, desc) -> assertTrue("Expected size for " + desc, 
expColSize.get().equals(ms.columnSize()) && 
expRowSize.get().equals(ms.rowSize())));
+    }
+
+    /** */
+    @Test
+    public void getSetTest() {
+        consumeSampleStorages(null, (ms, desc) -> {
+            for (int i = 0; i < ms.rowSize(); i++) {
+                for (int j = 0; j < ms.columnSize(); j++) {
+                    double random = Math.random();
+                    ms.set(i, j, random);
+                    assertTrue("Unexpected value for " + desc + " x:" + i + ", 
y:" + j, Double.compare(random, ms.get(i, j)) == 0);
+                }
+            }
+        });
+    }
+
+    /** */
+    @Override public void externalizeTest() {
+        consumeSampleStorages(null, (ms, desc) -> externalizeTest(ms));
+    }
+
+    /** */
+    private void consumeSampleStorages(BiConsumer<Integer, Integer> 
paramsConsumer,
+        BiConsumer<MatrixStorage, String> consumer) {
+        new MatrixStorageFixtures().consumeSampleStorages(paramsConsumer, 
consumer);
+    }
+}

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