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From: av@apache.org
To: commits@ignite.apache.org
Date: Fri, 14 Apr 2017 15:51:00 -0000
Message-Id: <0b1063d4bce14dfe90e596512f497ab6@git.apache.org>
Subject: [01/13] ignite git commit: IGNITE-4572 Machine Learning: Develop
 distributed algebra support for dense and sparse data sets.
archived-at: Fri, 14 Apr 2017 15:51:03 -0000

Repository: ignite
Updated Branches:
  refs/heads/master 1f867c603 -> acd21fb8b


http://git-wip-us.apache.org/repos/asf/ignite/blob/acd21fb8/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorImplementationsTest.java
----------------------------------------------------------------------
diff --git a/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorImplementationsTest.java b/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorImplementationsTest.java
new file mode 100644
index 0000000..0e61513
--- /dev/null
+++ b/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorImplementationsTest.java
@@ -0,0 +1,860 @@
+/*
+ * 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.math.impls.vector;
+
+import java.util.Arrays;
+import java.util.concurrent.atomic.AtomicReference;
+import java.util.function.BiConsumer;
+import java.util.function.BiFunction;
+import java.util.function.Consumer;
+import java.util.function.Function;
+import org.apache.ignite.IgniteException;
+import org.apache.ignite.math.ExternalizeTest;
+import org.apache.ignite.math.Vector;
+import org.apache.ignite.math.exceptions.CardinalityException;
+import org.apache.ignite.math.exceptions.UnsupportedOperationException;
+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.assertNull;
+import static org.junit.Assert.assertTrue;
+import static org.junit.Assert.fail;
+
+/** See also: {@link AbstractVectorTest} and {@link VectorToMatrixTest}. */
+public class VectorImplementationsTest { // todo split this to smaller cohesive test classes
+    /** */
+    @Test
+    public void vectorImplementationsFixturesTest() {
+        new VectorImplementationsFixtures().selfTest();
+    }
+
+    /** */
+    @Test
+    public void setGetTest() {
+        consumeSampleVectors((v, desc) -> mutateAtIdxTest(v, desc, (vec, idx, val) -> {
+            vec.set(idx, val);
+
+            return val;
+        }));
+    }
+
+    /** */
+    @Test
+    public void setXTest() {
+        consumeSampleVectors((v, desc) -> mutateAtIdxTest(v, desc, (vec, idx, val) -> {
+            vec.setX(idx, val);
+
+            return val;
+        }));
+    }
+
+    /** */
+    @Test
+    public void incrementTest() {
+        consumeSampleVectors((v, desc) -> mutateAtIdxTest(v, desc, (vec, idx, val) -> {
+            double old = vec.get(idx);
+
+            vec.increment(idx, val);
+
+            return old + val;
+        }));
+    }
+
+    /** */
+    @Test
+    public void incrementXTest() {
+        consumeSampleVectors((v, desc) -> mutateAtIdxTest(v, desc, (vec, idx, val) -> {
+            double old = vec.getX(idx);
+
+            vec.incrementX(idx, val);
+
+            return old + val;
+        }));
+    }
+
+    /** */
+    @Test
+    public void operateXOutOfBoundsTest() {
+        consumeSampleVectors((v, desc) -> {
+            if (v instanceof DenseLocalOffHeapVector || v instanceof SparseLocalVector || v instanceof SparseLocalOffHeapVector)
+                return; // todo find out if it's OK to skip by instances here
+
+            boolean expECaught = false;
+
+            try {
+                v.getX(-1);
+            }
+            catch (ArrayIndexOutOfBoundsException | IgniteException e) {
+                expECaught = true;
+            }
+
+            if (!getXOutOfBoundsOK(v))
+                assertTrue("Expect exception at negative index getX in " + desc, expECaught);
+
+            expECaught = false;
+
+            try {
+                v.setX(-1, 0);
+            }
+            catch (ArrayIndexOutOfBoundsException | IgniteException e) {
+                expECaught = true;
+            }
+
+            assertTrue("Expect exception at negative index setX in " + desc, expECaught);
+
+            expECaught = false;
+
+            try {
+                v.incrementX(-1, 1);
+            }
+            catch (ArrayIndexOutOfBoundsException | IgniteException e) {
+                expECaught = true;
+            }
+
+            assertTrue("Expect exception at negative index incrementX in " + desc, expECaught);
+
+            expECaught = false;
+
+            try {
+                v.getX(v.size());
+            }
+            catch (ArrayIndexOutOfBoundsException | IgniteException e) {
+                expECaught = true;
+            }
+
+            if (!getXOutOfBoundsOK(v))
+                assertTrue("Expect exception at too large index getX in " + desc, expECaught);
+
+            expECaught = false;
+
+            try {
+                v.setX(v.size(), 1);
+            }
+            catch (ArrayIndexOutOfBoundsException | IgniteException e) {
+                expECaught = true;
+            }
+
+            assertTrue("Expect exception at too large index setX in " + desc, expECaught);
+
+            expECaught = false;
+
+            try {
+                v.incrementX(v.size(), 1);
+            }
+            catch (ArrayIndexOutOfBoundsException | IgniteException e) {
+                expECaught = true;
+            }
+
+            assertTrue("Expect exception at too large index incrementX in " + desc, expECaught);
+        });
+    }
+
+    /** */
+    @Test
+    public void sizeTest() {
+        final AtomicReference<Integer> expSize = new AtomicReference<>(0);
+
+        consumeSampleVectors(
+            expSize::set,
+            (v, desc) -> assertEquals("Expected size for " + desc,
+                (int)expSize.get(), v.size())
+        );
+    }
+
+    /** */
+    @Test
+    public void getElementTest() {
+        consumeSampleVectors((v, desc) -> new ElementsChecker(v, desc).assertCloseEnough(v));
+    }
+
+    /** */
+    @Test
+    public void copyTest() {
+        consumeSampleVectors((v, desc) -> new ElementsChecker(v, desc).assertCloseEnough(v.copy()));
+    }
+
+    /** */
+    @Test
+    public void divideTest() {
+        operationTest((val, operand) -> val / operand, Vector::divide);
+    }
+
+    /** */
+    @Test
+    public void likeTest() {
+        for (int card : new int[] {1, 2, 4, 8, 16, 32, 64, 128})
+            consumeSampleVectors((v, desc) -> {
+                Class<? extends Vector> expType = expLikeType(v);
+
+                if (expType == null) {
+                    try {
+                        v.like(card);
+                    }
+                    catch (UnsupportedOperationException uoe) {
+                        return;
+                    }
+
+                    fail("Expected exception wasn't caught for " + desc);
+
+                    return;
+                }
+
+                Vector vLike = v.like(card);
+
+                assertNotNull("Expect non-null like vector for " + expType.getSimpleName() + " in " + desc, vLike);
+                assertEquals("Expect size equal to cardinality at " + desc, card, vLike.size());
+
+                Class<? extends Vector> actualType = vLike.getClass();
+
+                assertTrue("Actual vector type " + actualType.getSimpleName()
+                        + " should be assignable from expected type " + expType.getSimpleName() + " in " + desc,
+                    actualType.isAssignableFrom(expType));
+            });
+    }
+
+    /** */
+    @Test
+    public void minusTest() {
+        operationVectorTest((operand1, operand2) -> operand1 - operand2, Vector::minus);
+    }
+
+    /** */
+    @Test
+    public void plusVectorTest() {
+        operationVectorTest((operand1, operand2) -> operand1 + operand2, Vector::plus);
+    }
+
+    /** */
+    @Test
+    public void plusDoubleTest() {
+        operationTest((val, operand) -> val + operand, Vector::plus);
+    }
+
+    /** */
+    @Test
+    public void timesVectorTest() {
+        operationVectorTest((operand1, operand2) -> operand1 * operand2, Vector::times);
+    }
+
+    /** */
+    @Test
+    public void timesDoubleTest() {
+        operationTest((val, operand) -> val * operand, Vector::times);
+    }
+
+    /** */
+    @Test
+    public void viewPartTest() {
+        consumeSampleVectors((v, desc) -> {
+            final int size = v.size();
+            final double[] ref = new double[size];
+            final int delta = size > 32 ? 3 : 1; // IMPL NOTE this is for faster test execution
+
+            final ElementsChecker checker = new ElementsChecker(v, ref, desc);
+
+            for (int off = 0; off < size; off += delta)
+                for (int len = 1; len < size - off; len += delta)
+                    checker.assertCloseEnough(v.viewPart(off, len), Arrays.copyOfRange(ref, off, off + len));
+        });
+    }
+
+    /** */
+    @Test
+    public void sumTest() {
+        toDoubleTest(
+            ref -> Arrays.stream(ref).sum(),
+            Vector::sum);
+    }
+
+    /** */
+    @Test
+    public void minValueTest() {
+        toDoubleTest(
+            ref -> Arrays.stream(ref).min().getAsDouble(),
+            Vector::minValue);
+    }
+
+    /** */
+    @Test
+    public void maxValueTest() {
+        toDoubleTest(
+            ref -> Arrays.stream(ref).max().getAsDouble(),
+            Vector::maxValue);
+    }
+
+    /** */
+    @Test
+    public void sortTest() {
+        consumeSampleVectors((v, desc) -> {
+            if (readOnly(v) || !v.isArrayBased()) {
+                boolean expECaught = false;
+
+                try {
+                    v.sort();
+                }
+                catch (UnsupportedOperationException uoe) {
+                    expECaught = true;
+                }
+
+                assertTrue("Expected exception was not caught for sort in " + desc, expECaught);
+
+                return;
+            }
+
+            final int size = v.size();
+            final double[] ref = new double[size];
+
+            new ElementsChecker(v, ref, desc).assertCloseEnough(v.sort(), Arrays.stream(ref).sorted().toArray());
+        });
+    }
+
+    /** */
+    @Test
+    public void metaAttributesTest() {
+        consumeSampleVectors((v, desc) -> {
+            assertNotNull("Null meta storage in " + desc, v.getMetaStorage());
+
+            final String key = "test key";
+            final String val = "test value";
+            final String details = "key [" + key + "] for " + desc;
+
+            v.setAttribute(key, val);
+            assertTrue("Expect to have meta attribute for " + details, v.hasAttribute(key));
+            assertEquals("Unexpected meta attribute value for " + details, val, v.getAttribute(key));
+
+            v.removeAttribute(key);
+            assertFalse("Expect not to have meta attribute for " + details, v.hasAttribute(key));
+            assertNull("Unexpected meta attribute value for " + details, v.getAttribute(key));
+        });
+    }
+
+    /** */
+    @Test
+    public void assignDoubleTest() {
+        consumeSampleVectors((v, desc) -> {
+            if (readOnly(v))
+                return;
+
+            for (double val : new double[] {0, -1, 0, 1}) {
+                v.assign(val);
+
+                for (int idx = 0; idx < v.size(); idx++) {
+                    final Metric metric = new Metric(val, v.get(idx));
+
+                    assertTrue("Not close enough at index " + idx + ", val " + val + ", " + metric
+                        + ", " + desc, metric.closeEnough());
+                }
+            }
+        });
+    }
+
+    /** */
+    @Test
+    public void assignDoubleArrTest() {
+        consumeSampleVectors((v, desc) -> {
+            if (readOnly(v))
+                return;
+
+            final int size = v.size();
+            final double[] ref = new double[size];
+
+            final ElementsChecker checker = new ElementsChecker(v, ref, desc);
+
+            for (int idx = 0; idx < size; idx++)
+                ref[idx] = -ref[idx];
+
+            v.assign(ref);
+
+            checker.assertCloseEnough(v, ref);
+
+            assignDoubleArrWrongCardinality(v, desc);
+        });
+    }
+
+    /** */
+    @Test
+    public void assignVectorTest() {
+        consumeSampleVectors((v, desc) -> {
+            if (readOnly(v))
+                return;
+
+            final int size = v.size();
+            final double[] ref = new double[size];
+
+            final ElementsChecker checker = new ElementsChecker(v, ref, desc);
+
+            for (int idx = 0; idx < size; idx++)
+                ref[idx] = -ref[idx];
+
+            v.assign(new DenseLocalOnHeapVector(ref));
+
+            checker.assertCloseEnough(v, ref);
+
+            assignVectorWrongCardinality(v, desc);
+        });
+    }
+
+    /** */
+    @Test
+    public void assignFunctionTest() {
+        consumeSampleVectors((v, desc) -> {
+            if (readOnly(v))
+                return;
+
+            final int size = v.size();
+            final double[] ref = new double[size];
+
+            final ElementsChecker checker = new ElementsChecker(v, ref, desc);
+
+            for (int idx = 0; idx < size; idx++)
+                ref[idx] = -ref[idx];
+
+            v.assign((idx) -> ref[idx]);
+
+            checker.assertCloseEnough(v, ref);
+        });
+    }
+
+    /** */
+    @Test
+    public void minElementTest() {
+        consumeSampleVectors((v, desc) -> {
+            final ElementsChecker checker = new ElementsChecker(v, desc);
+
+            final Vector.Element minE = v.minElement();
+
+            final int minEIdx = minE.index();
+
+            assertTrue("Unexpected index from minElement " + minEIdx + ", " + desc,
+                minEIdx >= 0 && minEIdx < v.size());
+
+            final Metric metric = new Metric(minE.get(), v.minValue());
+
+            assertTrue("Not close enough minElement at index " + minEIdx + ", " + metric
+                + ", " + desc, metric.closeEnough());
+
+            checker.assertNewMinElement(v);
+        });
+    }
+
+    /** */
+    @Test
+    public void maxElementTest() {
+        consumeSampleVectors((v, desc) -> {
+            final ElementsChecker checker = new ElementsChecker(v, desc);
+
+            final Vector.Element maxE = v.maxElement();
+
+            final int minEIdx = maxE.index();
+
+            assertTrue("Unexpected index from minElement " + minEIdx + ", " + desc,
+                minEIdx >= 0 && minEIdx < v.size());
+
+            final Metric metric = new Metric(maxE.get(), v.maxValue());
+
+            assertTrue("Not close enough maxElement at index " + minEIdx + ", " + metric
+                + ", " + desc, metric.closeEnough());
+
+            checker.assertNewMaxElement(v);
+        });
+    }
+
+    /** */
+    @Test
+    public void externalizeTest() {
+        (new ExternalizeTest<Vector>() {
+            /** {@inheritDoc} */
+            @Override public void externalizeTest() {
+                consumeSampleVectors((v, desc) -> {
+                    if (v instanceof SparseLocalOffHeapVector)
+                        return; //TODO: wait till SparseLocalOffHeapVector externalization support.
+
+                    externalizeTest(v);
+                });
+            }
+        }).externalizeTest();
+    }
+
+    /** */
+    @Test
+    public void hashCodeTest() {
+        consumeSampleVectors((v, desc) -> assertTrue("Zero hash code for " + desc, v.hashCode() != 0));
+    }
+
+    /** */
+    private boolean getXOutOfBoundsOK(Vector v) {
+        // todo find out if this is indeed OK
+        return v instanceof RandomVector || v instanceof ConstantVector
+            || v instanceof SingleElementVector || v instanceof SingleElementVectorView;
+    }
+
+    /** */
+    private void mutateAtIdxTest(Vector v, String desc, MutateAtIdx operation) {
+        if (readOnly(v)) {
+            if (v.size() < 1)
+                return;
+
+            boolean expECaught = false;
+
+            try {
+                operation.apply(v, 0, 1);
+            }
+            catch (UnsupportedOperationException uoe) {
+                expECaught = true;
+            }
+
+            assertTrue("Expect exception at attempt to mutate element in " + desc, expECaught);
+
+            return;
+        }
+
+        for (double val : new double[] {0, -1, 0, 1})
+            for (int idx = 0; idx < v.size(); idx++) {
+                double exp = operation.apply(v, idx, val);
+
+                final Metric metric = new Metric(exp, v.get(idx));
+
+                assertTrue("Not close enough at index " + idx + ", val " + val + ", " + metric
+                    + ", " + desc, metric.closeEnough());
+            }
+    }
+
+    /** */
+    private Class<? extends Vector> expLikeType(Vector v) {
+        Class<? extends Vector> clazz = v.getClass();
+
+        if (clazz.isAssignableFrom(PivotedVectorView.class) || clazz.isAssignableFrom(SingleElementVectorView.class))
+            return null;
+
+        if (clazz.isAssignableFrom(MatrixVectorView.class) || clazz.isAssignableFrom(DelegatingVector.class))
+            return DenseLocalOnHeapVector.class; // IMPL NOTE per fixture
+
+        return clazz;
+    }
+
+    /** */
+    private void toDoubleTest(Function<double[], Double> calcRef, Function<Vector, Double> calcVec) {
+        consumeSampleVectors((v, desc) -> {
+            final int size = v.size();
+            final double[] ref = new double[size];
+
+            new ElementsChecker(v, ref, desc); // IMPL NOTE this initialises vector and reference array
+
+            final Metric metric = new Metric(calcRef.apply(ref), calcVec.apply(v));
+
+            assertTrue("Not close enough at " + desc
+                + ", " + metric, metric.closeEnough());
+        });
+    }
+
+    /** */
+    private void operationVectorTest(BiFunction<Double, Double, Double> operation,
+        BiFunction<Vector, Vector, Vector> vecOperation) {
+        consumeSampleVectors((v, desc) -> {
+            // TODO find out if more elaborate testing scenario is needed or it's okay as is.
+            final int size = v.size();
+            final double[] ref = new double[size];
+
+            final ElementsChecker checker = new ElementsChecker(v, ref, desc);
+            final Vector operand = v.copy();
+
+            for (int idx = 0; idx < size; idx++)
+                ref[idx] = operation.apply(ref[idx], ref[idx]);
+
+            checker.assertCloseEnough(vecOperation.apply(v, operand), ref);
+
+            assertWrongCardinality(v, desc, vecOperation);
+        });
+    }
+
+    /** */
+    private void assignDoubleArrWrongCardinality(Vector v, String desc) {
+        boolean expECaught = false;
+
+        try {
+            v.assign(new double[v.size() + 1]);
+        }
+        catch (CardinalityException ce) {
+            expECaught = true;
+        }
+
+        assertTrue("Expect exception at too large size in " + desc, expECaught);
+
+        if (v.size() < 2)
+            return;
+
+        expECaught = false;
+
+        try {
+            v.assign(new double[v.size() - 1]);
+        }
+        catch (CardinalityException ce) {
+            expECaught = true;
+        }
+
+        assertTrue("Expect exception at too small size in " + desc, expECaught);
+    }
+
+    /** */
+    private void assignVectorWrongCardinality(Vector v, String desc) {
+        boolean expECaught = false;
+
+        try {
+            v.assign(new DenseLocalOnHeapVector(v.size() + 1));
+        }
+        catch (CardinalityException ce) {
+            expECaught = true;
+        }
+
+        assertTrue("Expect exception at too large size in " + desc, expECaught);
+
+        if (v.size() < 2)
+            return;
+
+        expECaught = false;
+
+        try {
+            v.assign(new DenseLocalOnHeapVector(v.size() - 1));
+        }
+        catch (CardinalityException ce) {
+            expECaught = true;
+        }
+
+        assertTrue("Expect exception at too small size in " + desc, expECaught);
+    }
+
+    /** */
+    private void assertWrongCardinality(
+        Vector v, String desc, BiFunction<Vector, Vector, Vector> vecOperation) {
+        boolean expECaught = false;
+
+        try {
+            vecOperation.apply(v, new DenseLocalOnHeapVector(v.size() + 1));
+        }
+        catch (CardinalityException ce) {
+            expECaught = true;
+        }
+
+        assertTrue("Expect exception at too large size in " + desc, expECaught);
+
+        if (v.size() < 2)
+            return;
+
+        expECaught = false;
+
+        try {
+            vecOperation.apply(v, new DenseLocalOnHeapVector(v.size() - 1));
+        }
+        catch (CardinalityException ce) {
+            expECaught = true;
+        }
+
+        assertTrue("Expect exception at too small size in " + desc, expECaught);
+    }
+
+    /** */
+    private void operationTest(BiFunction<Double, Double, Double> operation,
+        BiFunction<Vector, Double, Vector> vecOperation) {
+        for (double val : new double[] {0, 0.1, 1, 2, 10})
+            consumeSampleVectors((v, desc) -> {
+                final int size = v.size();
+                final double[] ref = new double[size];
+
+                final ElementsChecker checker = new ElementsChecker(v, ref, "val " + val + ", " + desc);
+
+                for (int idx = 0; idx < size; idx++)
+                    ref[idx] = operation.apply(ref[idx], val);
+
+                checker.assertCloseEnough(vecOperation.apply(v, val), ref);
+            });
+    }
+
+    /** */
+    private void consumeSampleVectors(BiConsumer<Vector, String> consumer) {
+        consumeSampleVectors(null, consumer);
+    }
+
+    /** */
+    private void consumeSampleVectors(Consumer<Integer> paramsConsumer, BiConsumer<Vector, String> consumer) {
+        new VectorImplementationsFixtures().consumeSampleVectors(paramsConsumer, consumer);
+    }
+
+    /** */
+    private static boolean readOnly(Vector v) {
+        return v instanceof RandomVector || v instanceof ConstantVector;
+    }
+
+    /** */
+    private interface MutateAtIdx {
+        /** */
+        double apply(Vector v, int idx, double val);
+    }
+
+    /** */
+    static class ElementsChecker {
+        /** */
+        private final String fixtureDesc;
+
+        /** */
+        private final double[] refReadOnly;
+
+        /** */
+        private final boolean nonNegative;
+
+        /** */
+        ElementsChecker(Vector v, double[] ref, String fixtureDesc, boolean nonNegative) {
+            this.fixtureDesc = fixtureDesc;
+
+            this.nonNegative = nonNegative;
+
+            refReadOnly = readOnly(v) && ref == null ? new double[v.size()] : null;
+
+            init(v, ref);
+        }
+
+        /** */
+        ElementsChecker(Vector v, double[] ref, String fixtureDesc) {
+            this(v, ref, fixtureDesc, false);
+        }
+
+        /** */
+        ElementsChecker(Vector v, String fixtureDesc) {
+            this(v, null, fixtureDesc);
+        }
+
+        /** */
+        void assertCloseEnough(Vector obtained, double[] exp) {
+            final int size = obtained.size();
+
+            for (int i = 0; i < size; i++) {
+                final Vector.Element e = obtained.getElement(i);
+
+                if (refReadOnly != null && exp == null)
+                    exp = refReadOnly;
+
+                final Metric metric = new Metric(exp == null ? generated(i) : exp[i], e.get());
+
+                assertEquals("Unexpected vector index at " + fixtureDesc, i, e.index());
+                assertTrue("Not close enough at index " + i + ", size " + size + ", " + metric
+                    + ", " + fixtureDesc, metric.closeEnough());
+            }
+        }
+
+        /** */
+        void assertCloseEnough(Vector obtained) {
+            assertCloseEnough(obtained, null);
+        }
+
+        /** */
+        void assertNewMinElement(Vector v) {
+            if (readOnly(v))
+                return;
+
+            int exp = v.size() / 2;
+
+            v.set(exp, -(v.size() * 2 + 1));
+
+            assertEquals("Unexpected minElement index at " + fixtureDesc, exp, v.minElement().index());
+        }
+
+        /** */
+        void assertNewMaxElement(Vector v) {
+            if (readOnly(v))
+                return;
+
+            int exp = v.size() / 2;
+
+            v.set(exp, v.size() * 2 + 1);
+
+            assertEquals("Unexpected minElement index at " + fixtureDesc, exp, v.maxElement().index());
+        }
+
+        /** */
+        private void init(Vector v, double[] ref) {
+            if (readOnly(v)) {
+                initReadonly(v, ref);
+
+                return;
+            }
+
+            for (Vector.Element e : v.all()) {
+                int idx = e.index();
+
+                // IMPL NOTE introduce negative values because their absence
+                //    blocked catching an ugly bug in AbstractVector#kNorm
+                int val = generated(idx);
+
+                e.set(val);
+
+                if (ref != null)
+                    ref[idx] = val;
+            }
+        }
+
+        /** */
+        private void initReadonly(Vector v, double[] ref) {
+            if (refReadOnly != null)
+                for (Vector.Element e : v.all())
+                    refReadOnly[e.index()] = e.get();
+
+            if (ref != null)
+                for (Vector.Element e : v.all())
+                    ref[e.index()] = e.get();
+        }
+
+        /** */
+        private int generated(int idx) {
+            return nonNegative || (idx & 1) == 0 ? idx : -idx;
+        }
+    }
+
+    /** */
+    static class Metric { // todo consider if softer tolerance (like say 0.1 or 0.01) would make sense here
+        /** */
+        private final double exp;
+
+        /** */
+        private final double obtained;
+
+        /** **/
+        Metric(double exp, double obtained) {
+            this.exp = exp;
+            this.obtained = obtained;
+        }
+
+        /** */
+        boolean closeEnough() {
+            return new Double(exp).equals(obtained) || closeEnoughToZero();
+        }
+
+        /** {@inheritDoc} */
+        @Override public String toString() {
+            return "Metric{" + "expected=" + exp +
+                ", obtained=" + obtained +
+                '}';
+        }
+
+        /** */
+        private boolean closeEnoughToZero() {
+            return (new Double(exp).equals(0.0) && new Double(obtained).equals(-0.0))
+                || (new Double(exp).equals(-0.0) && new Double(obtained).equals(0.0));
+        }
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/acd21fb8/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorIterableTest.java
----------------------------------------------------------------------
diff --git a/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorIterableTest.java b/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorIterableTest.java
new file mode 100644
index 0000000..7a64c85
--- /dev/null
+++ b/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorIterableTest.java
@@ -0,0 +1,376 @@
+/*
+ * 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.math.impls.vector;
+
+import java.util.Arrays;
+import java.util.Iterator;
+import java.util.NoSuchElementException;
+import java.util.Spliterator;
+import java.util.function.BiConsumer;
+import org.apache.ignite.math.Vector;
+import org.apache.ignite.math.impls.MathTestConstants;
+import org.junit.Test;
+
+import static java.util.Spliterator.ORDERED;
+import static java.util.Spliterator.SIZED;
+import static org.junit.Assert.assertEquals;
+import static org.junit.Assert.assertNotNull;
+import static org.junit.Assert.assertNull;
+import static org.junit.Assert.assertTrue;
+import static org.junit.Assert.fail;
+
+/** */
+public class VectorIterableTest {
+    /** */
+    @Test
+    public void allTest() {
+        consumeSampleVectors(
+            (v, desc) -> {
+                int expIdx = 0;
+
+                for (Vector.Element e : v.all()) {
+                    int actualIdx = e.index();
+
+                    assertEquals("Unexpected index for " + desc,
+                        expIdx, actualIdx);
+
+                    expIdx++;
+                }
+
+                assertEquals("Unexpected amount of elements for " + desc,
+                    expIdx, v.size());
+            }
+        );
+    }
+
+    /** */
+    @Test
+    public void allTestBound() {
+        consumeSampleVectors(
+            (v, desc) -> iteratorTestBound(v.all().iterator(), desc)
+        );
+    }
+
+    /** */
+    @Test
+    public void nonZeroesTestBasic() {
+        final int size = 5;
+
+        final double[] nonZeroesOddData = new double[size], nonZeroesEvenData = new double[size];
+
+        for (int idx = 0; idx < size; idx++) {
+            final boolean odd = (idx & 1) == 1;
+
+            nonZeroesOddData[idx] = odd ? 1 : 0;
+
+            nonZeroesEvenData[idx] = odd ? 0 : 1;
+        }
+
+        assertTrue("Arrays failed to initialize.",
+            !isZero(nonZeroesEvenData[0])
+                && isZero(nonZeroesEvenData[1])
+                && isZero(nonZeroesOddData[0])
+                && !isZero(nonZeroesOddData[1]));
+
+        final Vector nonZeroesEvenVec = new DenseLocalOnHeapVector(nonZeroesEvenData),
+            nonZeroesOddVec = new DenseLocalOnHeapVector(nonZeroesOddData);
+
+        assertTrue("Vectors failed to initialize.",
+            !isZero(nonZeroesEvenVec.getElement(0).get())
+                && isZero(nonZeroesEvenVec.getElement(1).get())
+                && isZero(nonZeroesOddVec.getElement(0).get())
+                && !isZero(nonZeroesOddVec.getElement(1).get()));
+
+        assertTrue("Iterator(s) failed to start.",
+            nonZeroesEvenVec.nonZeroes().iterator().next() != null
+                && nonZeroesOddVec.nonZeroes().iterator().next() != null);
+
+        int nonZeroesActual = 0;
+
+        for (Vector.Element e : nonZeroesEvenVec.nonZeroes()) {
+            final int idx = e.index();
+
+            final boolean odd = (idx & 1) == 1;
+
+            final double val = e.get();
+
+            assertTrue("Not an even index " + idx + ", for value " + val, !odd);
+
+            assertTrue("Zero value " + val + " at even index " + idx, !isZero(val));
+
+            nonZeroesActual++;
+        }
+
+        final int nonZeroesOddExp = (size + 1) / 2;
+
+        assertEquals("Unexpected num of iterated odd non-zeroes.", nonZeroesOddExp, nonZeroesActual);
+
+        assertEquals("Unexpected nonZeroElements of odd.", nonZeroesOddExp, nonZeroesEvenVec.nonZeroElements());
+
+        nonZeroesActual = 0;
+
+        for (Vector.Element e : nonZeroesOddVec.nonZeroes()) {
+            final int idx = e.index();
+
+            final boolean odd = (idx & 1) == 1;
+
+            final double val = e.get();
+
+            assertTrue("Not an odd index " + idx + ", for value " + val, odd);
+
+            assertTrue("Zero value " + val + " at even index " + idx, !isZero(val));
+
+            nonZeroesActual++;
+        }
+
+        final int nonZeroesEvenExp = size / 2;
+
+        assertEquals("Unexpected num of iterated even non-zeroes", nonZeroesEvenExp, nonZeroesActual);
+
+        assertEquals("Unexpected nonZeroElements of even", nonZeroesEvenExp, nonZeroesOddVec.nonZeroElements());
+    }
+
+    /** */
+    @Test
+    public void nonZeroesTest() {
+        // todo make RandomVector constructor that accepts a function and use it here
+        //  in order to *reliably* test non-zeroes in there
+        consumeSampleVectors(
+            (v, desc) -> consumeSampleVectorsWithZeroes(v, (vec, numZeroes)
+                -> {
+                int numZeroesActual = vec.size();
+
+                for (Vector.Element e : vec.nonZeroes()) {
+                    numZeroesActual--;
+
+                    assertTrue("Unexpected zero at " + desc + ", index " + e.index(), !isZero(e.get()));
+                }
+
+                assertEquals("Unexpected num zeroes at " + desc, (int)numZeroes, numZeroesActual);
+            }));
+    }
+
+    /** */
+    @Test
+    public void nonZeroesTestBound() {
+        consumeSampleVectors(
+            (v, desc) -> consumeSampleVectorsWithZeroes(v, (vec, numZeroes)
+                -> iteratorTestBound(vec.nonZeroes().iterator(), desc)));
+    }
+
+    /** */
+    @Test
+    public void nonZeroElementsTest() {
+        consumeSampleVectors(
+            (v, desc) -> consumeSampleVectorsWithZeroes(v, (vec, numZeroes)
+                -> assertEquals("Unexpected num zeroes at " + desc,
+                (int)numZeroes, vec.size() - vec.nonZeroElements())));
+    }
+
+    /** */
+    @Test
+    public void allSpliteratorTest() {
+        consumeSampleVectors(
+            (v, desc) -> {
+                final String desc1 = " " + desc;
+
+                Spliterator<Double> spliterator = v.allSpliterator();
+
+                assertNotNull(MathTestConstants.NULL_VAL + desc1, spliterator);
+
+                assertNull(MathTestConstants.NOT_NULL_VAL + desc1, spliterator.trySplit());
+
+                assertTrue(MathTestConstants.UNEXPECTED_VAL + desc1, spliterator.hasCharacteristics(ORDERED | SIZED));
+
+                if (!readOnly(v))
+                    fillWithNonZeroes(v);
+
+                spliterator = v.allSpliterator();
+
+                assertNotNull(MathTestConstants.NULL_VAL + desc1, spliterator);
+
+                assertEquals(MathTestConstants.VAL_NOT_EQUALS + desc1, spliterator.estimateSize(), v.size());
+
+                assertEquals(MathTestConstants.VAL_NOT_EQUALS + desc1, spliterator.getExactSizeIfKnown(), v.size());
+
+                assertTrue(MathTestConstants.UNEXPECTED_VAL + desc1, spliterator.hasCharacteristics(ORDERED | SIZED));
+
+                Spliterator<Double> secondHalf = spliterator.trySplit();
+
+                assertNull(MathTestConstants.NOT_NULL_VAL + desc1, secondHalf);
+
+                spliterator.tryAdvance(x -> {
+                });
+            }
+        );
+    }
+
+    /** */
+    @Test
+    public void nonZeroSpliteratorTest() {
+        consumeSampleVectors(
+            (v, desc) -> consumeSampleVectorsWithZeroes(v, (vec, numZeroes)
+                -> {
+                final String desc1 = " Num zeroes " + numZeroes + " " + desc;
+
+                Spliterator<Double> spliterator = vec.nonZeroSpliterator();
+
+                assertNotNull(MathTestConstants.NULL_VAL + desc1, spliterator);
+
+                assertNull(MathTestConstants.NOT_NULL_VAL + desc1, spliterator.trySplit());
+
+                assertTrue(MathTestConstants.UNEXPECTED_VAL + desc1, spliterator.hasCharacteristics(ORDERED | SIZED));
+
+                spliterator = vec.nonZeroSpliterator();
+
+                assertNotNull(MathTestConstants.NULL_VAL + desc1, spliterator);
+
+                assertEquals(MathTestConstants.VAL_NOT_EQUALS + desc1, spliterator.estimateSize(), vec.size() - numZeroes);
+
+                assertEquals(MathTestConstants.VAL_NOT_EQUALS + desc1, spliterator.getExactSizeIfKnown(), vec.size() - numZeroes);
+
+                assertTrue(MathTestConstants.UNEXPECTED_VAL + desc1, spliterator.hasCharacteristics(ORDERED | SIZED));
+
+                Spliterator<Double> secondHalf = spliterator.trySplit();
+
+                assertNull(MathTestConstants.NOT_NULL_VAL + desc1, secondHalf);
+
+                double[] data = new double[vec.size()];
+
+                for (Vector.Element e : vec.all())
+                    data[e.index()] = e.get();
+
+                spliterator = vec.nonZeroSpliterator();
+
+                assertNotNull(MathTestConstants.NULL_VAL + desc1, spliterator);
+
+                assertEquals(MathTestConstants.VAL_NOT_EQUALS + desc1, spliterator.estimateSize(),
+                    Arrays.stream(data).filter(x -> x != 0d).count());
+
+                assertEquals(MathTestConstants.VAL_NOT_EQUALS + desc1, spliterator.getExactSizeIfKnown(),
+                    Arrays.stream(data).filter(x -> x != 0d).count());
+
+                assertTrue(MathTestConstants.UNEXPECTED_VAL + desc1, spliterator.hasCharacteristics(ORDERED | SIZED));
+
+                secondHalf = spliterator.trySplit();
+
+                assertNull(MathTestConstants.NOT_NULL_VAL + desc1, secondHalf);
+
+                if (!spliterator.tryAdvance(x -> {
+                }))
+                    fail(MathTestConstants.NO_NEXT_ELEMENT + desc1);
+            }));
+    }
+
+    /** */
+    private void iteratorTestBound(Iterator<Vector.Element> it, String desc) {
+        while (it.hasNext())
+            assertNotNull(it.next());
+
+        boolean expECaught = false;
+
+        try {
+            it.next();
+        }
+        catch (NoSuchElementException e) {
+            expECaught = true;
+        }
+
+        assertTrue("Expected exception missed for " + desc,
+            expECaught);
+    }
+
+    /** */
+    private void consumeSampleVectorsWithZeroes(Vector sample,
+        BiConsumer<Vector, Integer> consumer) {
+        if (readOnly(sample)) {
+            int numZeroes = 0;
+
+            for (Vector.Element e : sample.all())
+                if (isZero(e.get()))
+                    numZeroes++;
+
+            consumer.accept(sample, numZeroes);
+
+            return;
+        }
+
+        fillWithNonZeroes(sample);
+
+        consumer.accept(sample, 0);
+
+        final int sampleSize = sample.size();
+
+        if (sampleSize == 0)
+            return;
+
+        for (Vector.Element e : sample.all())
+            e.set(0);
+
+        consumer.accept(sample, sampleSize);
+
+        fillWithNonZeroes(sample);
+
+        for (int testIdx : new int[] {0, sampleSize / 2, sampleSize - 1}) {
+            final Vector.Element e = sample.getElement(testIdx);
+
+            final double backup = e.get();
+
+            e.set(0);
+
+            consumer.accept(sample, 1);
+
+            e.set(backup);
+        }
+
+        if (sampleSize < 3)
+            return;
+
+        sample.getElement(sampleSize / 3).set(0);
+
+        sample.getElement((2 * sampleSize) / 3).set(0);
+
+        consumer.accept(sample, 2);
+    }
+
+    /** */
+    private void fillWithNonZeroes(Vector sample) {
+        int idx = 0;
+
+        for (Vector.Element e : sample.all())
+            e.set(1 + idx++);
+
+        assertEquals("Not all filled with non-zeroes", idx, sample.size());
+    }
+
+    /** */
+    private void consumeSampleVectors(BiConsumer<Vector, String> consumer) {
+        new VectorImplementationsFixtures().consumeSampleVectors(null, consumer);
+    }
+
+    /** */
+    private boolean isZero(double val) {
+        return val == 0.0;
+    }
+
+    /** */
+    private boolean readOnly(Vector v) {
+        return v instanceof RandomVector || v instanceof ConstantVector;
+    }
+}
+

http://git-wip-us.apache.org/repos/asf/ignite/blob/acd21fb8/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorNormTest.java
----------------------------------------------------------------------
diff --git a/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorNormTest.java b/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorNormTest.java
new file mode 100644
index 0000000..f1c2928
--- /dev/null
+++ b/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorNormTest.java
@@ -0,0 +1,247 @@
+/*
+ * 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.math.impls.vector;
+
+import java.util.function.BiConsumer;
+import java.util.function.BiFunction;
+import java.util.function.Function;
+import org.apache.ignite.math.Vector;
+import org.junit.Test;
+
+import static org.junit.Assert.assertTrue;
+
+/** */
+public class VectorNormTest {
+    /** */
+    @Test
+    public void normalizeTest() {
+        normalizeTest(2, (val, len) -> val / len, Vector::normalize);
+    }
+
+    /** */
+    @Test
+    public void normalizePowerTest() {
+        for (double pow : new double[] {0, 0.5, 1, 2, 2.5, Double.POSITIVE_INFINITY})
+            normalizeTest(pow, (val, norm) -> val / norm, (v) -> v.normalize(pow));
+    }
+
+    /** */
+    @Test
+    public void logNormalizeTest() {
+        normalizeTest(2, (val, len) -> Math.log1p(val) / (len * Math.log(2)), Vector::logNormalize);
+    }
+
+    /** */
+    @Test
+    public void logNormalizePowerTest() {
+        for (double pow : new double[] {1.1, 2, 2.5})
+            normalizeTest(pow, (val, norm) -> Math.log1p(val) / (norm * Math.log(pow)), (v) -> v.logNormalize(pow));
+    }
+
+    /** */
+    @Test
+    public void kNormTest() {
+        for (double pow : new double[] {0, 0.5, 1, 2, 2.5, Double.POSITIVE_INFINITY})
+            toDoubleTest(pow, ref -> new Norm(ref, pow).calculate(), v -> v.kNorm(pow));
+    }
+
+    /** */
+    @Test
+    public void getLengthSquaredTest() {
+        toDoubleTest(2.0, ref -> new Norm(ref, 2).sumPowers(), Vector::getLengthSquared);
+    }
+
+    /** */
+    @Test
+    public void getDistanceSquaredTest() {
+        consumeSampleVectors((v, desc) -> {
+            new VectorImplementationsTest.ElementsChecker(v, desc); // IMPL NOTE this initialises vector
+
+            final int size = v.size();
+            final Vector vOnHeap = new DenseLocalOnHeapVector(size);
+            final Vector vOffHeap = new DenseLocalOffHeapVector(size);
+
+            invertValues(v, vOnHeap);
+            invertValues(v, vOffHeap);
+
+            for (int idx = 0; idx < size; idx++) {
+                final double exp = v.get(idx);
+                final int idxMirror = size - 1 - idx;
+
+                assertTrue("On heap vector difference at " + desc + ", idx " + idx,
+                    exp - vOnHeap.get(idxMirror) == 0);
+                assertTrue("Off heap vector difference at " + desc + ", idx " + idx,
+                    exp - vOffHeap.get(idxMirror) == 0);
+            }
+
+            final double exp = vOnHeap.minus(v).getLengthSquared(); // IMPL NOTE this won't mutate vOnHeap
+            final VectorImplementationsTest.Metric metric = new VectorImplementationsTest.Metric(exp, v.getDistanceSquared(vOnHeap));
+
+            assertTrue("On heap vector not close enough at " + desc + ", " + metric,
+                metric.closeEnough());
+
+            final VectorImplementationsTest.Metric metric1 = new VectorImplementationsTest.Metric(exp, v.getDistanceSquared(vOffHeap));
+
+            assertTrue("Off heap vector not close enough at " + desc + ", " + metric1,
+                metric1.closeEnough());
+        });
+    }
+
+    /** */
+    @Test
+    public void dotTest() {
+        consumeSampleVectors((v, desc) -> {
+            new VectorImplementationsTest.ElementsChecker(v, desc); // IMPL NOTE this initialises vector
+
+            final int size = v.size();
+            final Vector v1 = new DenseLocalOnHeapVector(size);
+
+            invertValues(v, v1);
+
+            final double actual = v.dot(v1);
+
+            double exp = 0;
+
+            for (Vector.Element e : v.all())
+                exp += e.get() * v1.get(e.index());
+
+            final VectorImplementationsTest.Metric metric = new VectorImplementationsTest.Metric(exp, actual);
+
+            assertTrue("Dot product not close enough at " + desc + ", " + metric,
+                metric.closeEnough());
+        });
+    }
+
+    /** */
+    private void invertValues(Vector src, Vector dst) {
+        final int size = src.size();
+
+        for (Vector.Element e : src.all()) {
+            final int idx = size - 1 - e.index();
+            final double val = e.get();
+
+            dst.set(idx, val);
+        }
+    }
+
+    /** */
+    private void toDoubleTest(Double val, Function<double[], Double> calcRef, Function<Vector, Double> calcVec) {
+        consumeSampleVectors((v, desc) -> {
+            final int size = v.size();
+            final double[] ref = new double[size];
+
+            new VectorImplementationsTest.ElementsChecker(v, ref, desc); // IMPL NOTE this initialises vector and reference array
+
+            final double exp = calcRef.apply(ref);
+            final double obtained = calcVec.apply(v);
+            final VectorImplementationsTest.Metric metric = new VectorImplementationsTest.Metric(exp, obtained);
+
+            assertTrue("Not close enough at " + desc
+                + (val == null ? "" : ", value " + val) + ", " + metric, metric.closeEnough());
+        });
+    }
+
+    /** */
+    private void normalizeTest(double pow, BiFunction<Double, Double, Double> operation,
+        Function<Vector, Vector> vecOperation) {
+        consumeSampleVectors((v, desc) -> {
+            final int size = v.size();
+            final double[] ref = new double[size];
+            final boolean nonNegative = pow != (int)pow;
+
+            final VectorImplementationsTest.ElementsChecker checker = new VectorImplementationsTest.ElementsChecker(v, ref, desc + ", pow = " + pow, nonNegative);
+            final double norm = new Norm(ref, pow).calculate();
+
+            for (int idx = 0; idx < size; idx++)
+                ref[idx] = operation.apply(ref[idx], norm);
+
+            checker.assertCloseEnough(vecOperation.apply(v), ref);
+        });
+    }
+
+    /** */
+    private void consumeSampleVectors(BiConsumer<Vector, String> consumer) {
+        new VectorImplementationsFixtures().consumeSampleVectors(null, consumer);
+    }
+
+    /** */
+    private static class Norm {
+        /** */
+        private final double[] arr;
+
+        /** */
+        private final Double pow;
+
+        /** */
+        Norm(double[] arr, double pow) {
+            this.arr = arr;
+            this.pow = pow;
+        }
+
+        /** */
+        double calculate() {
+            if (pow.equals(0.0))
+                return countNonZeroes(); // IMPL NOTE this is beautiful if you think of it
+
+            if (pow.equals(Double.POSITIVE_INFINITY))
+                return maxAbs();
+
+            return Math.pow(sumPowers(), 1 / pow);
+        }
+
+        /** */
+        double sumPowers() {
+            if (pow.equals(0.0))
+                return countNonZeroes();
+
+            double norm = 0;
+
+            for (double val : arr)
+                norm += pow == 1 ? Math.abs(val) : Math.pow(val, pow);
+
+            return norm;
+        }
+
+        /** */
+        private int countNonZeroes() {
+            int cnt = 0;
+
+            final Double zero = 0.0;
+
+            for (double val : arr)
+                if (!zero.equals(val))
+                    cnt++;
+
+            return cnt;
+        }
+
+        /** */
+        private double maxAbs() {
+            double res = 0;
+
+            for (double val : arr) {
+                final double abs = Math.abs(val);
+
+                if (abs > res)
+                    res = abs;
+            }
+
+            return res;
+        }
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/acd21fb8/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorToMatrixTest.java
----------------------------------------------------------------------
diff --git a/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorToMatrixTest.java b/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorToMatrixTest.java
new file mode 100644
index 0000000..adcb2cc
--- /dev/null
+++ b/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorToMatrixTest.java
@@ -0,0 +1,291 @@
+package org.apache.ignite.math.impls.vector;
+
+import java.util.Arrays;
+import java.util.LinkedHashMap;
+import java.util.List;
+import java.util.Map;
+import java.util.function.BiConsumer;
+import org.apache.ignite.math.Matrix;
+import org.apache.ignite.math.Vector;
+import org.apache.ignite.math.exceptions.UnsupportedOperationException;
+import org.apache.ignite.math.impls.matrix.DenseLocalOffHeapMatrix;
+import org.apache.ignite.math.impls.matrix.DenseLocalOnHeapMatrix;
+import org.apache.ignite.math.impls.matrix.RandomMatrix;
+import org.apache.ignite.math.impls.matrix.SparseLocalOnHeapMatrix;
+import org.junit.Test;
+
+import static org.junit.Assert.assertEquals;
+import static org.junit.Assert.assertNotNull;
+import static org.junit.Assert.assertNull;
+import static org.junit.Assert.assertTrue;
+
+/** Tests for methods of Vector that involve Matrix. */
+public class VectorToMatrixTest {
+    /** */
+    private static final Map<Class<? extends Vector>, Class<? extends Matrix>> typesMap = typesMap();
+
+    /** */
+    private static final List<Class<? extends Vector>> likeMatrixUnsupported = Arrays.asList(FunctionVector.class,
+        SingleElementVector.class, SingleElementVectorView.class, ConstantVector.class);
+
+    /** */
+    @Test
+    public void testHaveLikeMatrix() throws InstantiationException, IllegalAccessException {
+        for (Class<? extends Vector> key : typesMap.keySet()) {
+            Class<? extends Matrix> val = typesMap.get(key);
+
+            if (val == null && likeMatrixSupported(key))
+                System.out.println("Missing test for implementation of likeMatrix for " + key.getSimpleName());
+        }
+    }
+
+    /** */
+    @Test
+    public void testLikeMatrixUnsupported() throws Exception {
+        consumeSampleVectors((v, desc) -> {
+            if (likeMatrixSupported(v.getClass()))
+                return;
+
+            boolean expECaught = false;
+
+            try {
+                assertNull("Null view instead of exception in " + desc, v.likeMatrix(1, 1));
+            }
+            catch (UnsupportedOperationException uoe) {
+                expECaught = true;
+            }
+
+            assertTrue("Expected exception was not caught in " + desc, expECaught);
+        });
+    }
+
+    /** */
+    @Test
+    public void testLikeMatrix() {
+        consumeSampleVectors((v, desc) -> {
+            if (!availableForTesting(v))
+                return;
+
+            final Matrix matrix = v.likeMatrix(1, 1);
+
+            Class<? extends Vector> key = v.getClass();
+
+            Class<? extends Matrix> expMatrixType = typesMap.get(key);
+
+            assertNotNull("Expect non-null matrix for " + key.getSimpleName() + " in " + desc, matrix);
+
+            Class<? extends Matrix> actualMatrixType = matrix.getClass();
+
+            assertTrue("Expected matrix type " + expMatrixType.getSimpleName()
+                    + " should be assignable from actual type " + actualMatrixType.getSimpleName() + " in " + desc,
+                expMatrixType.isAssignableFrom(actualMatrixType));
+
+            for (int rows : new int[] {1, 2})
+                for (int cols : new int[] {1, 2}) {
+                    final Matrix actualMatrix = v.likeMatrix(rows, cols);
+
+                    String details = "rows " + rows + " cols " + cols;
+
+                    assertNotNull("Expect non-null matrix for " + details + " in " + desc,
+                        actualMatrix);
+
+                    assertEquals("Unexpected number of rows in " + desc, rows, actualMatrix.rowSize());
+
+                    assertEquals("Unexpected number of cols in " + desc, cols, actualMatrix.columnSize());
+                }
+        });
+    }
+
+    /** */
+    @Test
+    public void testToMatrix() {
+        consumeSampleVectors((v, desc) -> {
+            if (!availableForTesting(v))
+                return;
+
+            fillWithNonZeroes(v);
+
+            final Matrix matrixRow = v.toMatrix(true);
+
+            final Matrix matrixCol = v.toMatrix(false);
+
+            for (Vector.Element e : v.all())
+                assertToMatrixValue(desc, matrixRow, matrixCol, e.get(), e.index());
+        });
+    }
+
+    /** */
+    @Test
+    public void testToMatrixPlusOne() {
+        consumeSampleVectors((v, desc) -> {
+            if (!availableForTesting(v))
+                return;
+
+            fillWithNonZeroes(v);
+
+            for (double zeroVal : new double[] {-1, 0, 1, 2}) {
+                final Matrix matrixRow = v.toMatrixPlusOne(true, zeroVal);
+
+                final Matrix matrixCol = v.toMatrixPlusOne(false, zeroVal);
+
+                final Metric metricRow0 = new Metric(zeroVal, matrixRow.get(0, 0));
+
+                assertTrue("Not close enough row like " + metricRow0 + " at index 0 in " + desc,
+                    metricRow0.closeEnough());
+
+                final Metric metricCol0 = new Metric(zeroVal, matrixCol.get(0, 0));
+
+                assertTrue("Not close enough cols like " + metricCol0 + " at index 0 in " + desc,
+                    metricCol0.closeEnough());
+
+                for (Vector.Element e : v.all())
+                    assertToMatrixValue(desc, matrixRow, matrixCol, e.get(), e.index() + 1);
+            }
+        });
+    }
+
+    /** */
+    @Test
+    public void testCross() {
+        consumeSampleVectors((v, desc) -> {
+            if (!availableForTesting(v))
+                return;
+
+            fillWithNonZeroes(v);
+
+            for (int delta : new int[] {-1, 0, 1}) {
+                final int size2 = v.size() + delta;
+
+                if (size2 < 1)
+                    return;
+
+                final Vector v2 = new DenseLocalOnHeapVector(size2);
+
+                for (Vector.Element e : v2.all())
+                    e.set(size2 - e.index());
+
+                assertCross(v, v2, desc);
+            }
+        });
+    }
+
+    /** */
+    private void assertCross(Vector v1, Vector v2, String desc) {
+        assertNotNull(v1);
+        assertNotNull(v2);
+
+        final Matrix res = v1.cross(v2);
+
+        assertNotNull("Cross matrix is expected to be not null in " + desc, res);
+
+        assertEquals("Unexpected number of rows in cross Matrix in " + desc, v1.size(), res.rowSize());
+
+        assertEquals("Unexpected number of cols in cross Matrix in " + desc, v2.size(), res.columnSize());
+
+        for (int row = 0; row < v1.size(); row++)
+            for (int col = 0; col < v2.size(); col++) {
+                final Metric metric = new Metric(v1.get(row) * v2.get(col), res.get(row, col));
+
+                assertTrue("Not close enough cross " + metric + " at row " + row + " at col " + col
+                    + " in " + desc, metric.closeEnough());
+            }
+    }
+
+    /** */
+    private void assertToMatrixValue(String desc, Matrix matrixRow, Matrix matrixCol, double exp, int idx) {
+        final Metric metricRow = new Metric(exp, matrixRow.get(0, idx));
+
+        assertTrue("Not close enough row like " + metricRow + " at index " + idx + " in " + desc,
+            metricRow.closeEnough());
+
+        final Metric metricCol = new Metric(exp, matrixCol.get(idx, 0));
+
+        assertTrue("Not close enough cols like " + matrixCol + " at index " + idx + " in " + desc,
+            metricCol.closeEnough());
+    }
+
+    /** */
+    private void fillWithNonZeroes(Vector sample) {
+        if (sample instanceof RandomVector)
+            return;
+
+        for (Vector.Element e : sample.all())
+            e.set(1 + e.index());
+    }
+
+    /** */
+    private boolean availableForTesting(Vector v) {
+        assertNotNull("Error in test: vector is null", v);
+
+        if (!likeMatrixSupported(v.getClass()))
+            return false;
+
+        final boolean availableForTesting = typesMap.get(v.getClass()) != null;
+
+        final Matrix actualLikeMatrix = v.likeMatrix(1, 1);
+
+        assertTrue("Need to enable matrix testing for vector type " + v.getClass().getSimpleName(),
+            availableForTesting || actualLikeMatrix == null);
+
+        return availableForTesting;
+    }
+
+    /** Ignore test for given vector type. */
+    private boolean likeMatrixSupported(Class<? extends Vector> clazz) {
+        for (Class<? extends Vector> ignoredClass : likeMatrixUnsupported)
+            if (ignoredClass.isAssignableFrom(clazz))
+                return false;
+
+        return true;
+    }
+
+    /** */
+    private void consumeSampleVectors(BiConsumer<Vector, String> consumer) {
+        new VectorImplementationsFixtures().consumeSampleVectors(null, consumer);
+    }
+
+    /** */
+    private static Map<Class<? extends Vector>, Class<? extends Matrix>> typesMap() {
+        return new LinkedHashMap<Class<? extends Vector>, Class<? extends Matrix>>() {{
+            put(DenseLocalOnHeapVector.class, DenseLocalOnHeapMatrix.class);
+            put(DenseLocalOffHeapVector.class, DenseLocalOffHeapMatrix.class);
+            put(RandomVector.class, RandomMatrix.class);
+            put(SparseLocalVector.class, SparseLocalOnHeapMatrix.class);
+            put(SingleElementVector.class, null); // todo find out if we need SingleElementMatrix to match, or skip it
+            put(ConstantVector.class, null);
+            put(FunctionVector.class, null);
+            put(PivotedVectorView.class, DenseLocalOnHeapMatrix.class); // IMPL NOTE per fixture
+            put(SingleElementVectorView.class, null);
+            put(MatrixVectorView.class, DenseLocalOnHeapMatrix.class); // IMPL NOTE per fixture
+            put(DelegatingVector.class, DenseLocalOnHeapMatrix.class); // IMPL NOTE per fixture
+            // IMPL NOTE check for presence of all implementations here will be done in testHaveLikeMatrix via Fixture
+        }};
+    }
+
+    /** */
+    private static class Metric { // todo consider if softer tolerance (like say 0.1 or 0.01) would make sense here
+        /** */
+        private final double exp;
+
+        /** */
+        private final double obtained;
+
+        /** **/
+        Metric(double exp, double obtained) {
+            this.exp = exp;
+            this.obtained = obtained;
+        }
+
+        /** */
+        boolean closeEnough() {
+            return new Double(exp).equals(obtained);
+        }
+
+        /** {@inheritDoc} */
+        @Override public String toString() {
+            return "Metric{" + "expected=" + exp +
+                ", obtained=" + obtained +
+                '}';
+        }
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/acd21fb8/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorViewTest.java
----------------------------------------------------------------------
diff --git a/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorViewTest.java b/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorViewTest.java
new file mode 100644
index 0000000..55893d0
--- /dev/null
+++ b/modules/math/src/test/java/org/apache/ignite/math/impls/vector/VectorViewTest.java
@@ -0,0 +1,162 @@
+/*
+ * 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.math.impls.vector;
+
+import java.io.File;
+import java.io.FileInputStream;
+import java.io.FileOutputStream;
+import java.io.IOException;
+import java.io.ObjectInputStream;
+import java.io.ObjectOutputStream;
+import java.nio.file.Files;
+import java.nio.file.Paths;
+import java.util.function.BiConsumer;
+import java.util.stream.IntStream;
+import org.apache.ignite.math.Vector;
+import org.apache.ignite.math.exceptions.UnsupportedOperationException;
+import org.apache.ignite.math.impls.MathTestConstants;
+import org.junit.AfterClass;
+import org.junit.Before;
+import org.junit.Test;
+
+import static org.junit.Assert.assertEquals;
+import static org.junit.Assert.assertNotNull;
+import static org.junit.Assert.assertNull;
+import static org.junit.Assert.assertTrue;
+import static org.junit.Assert.fail;
+
+/**
+ * Unit tests for {@link VectorView}.
+ */
+public class VectorViewTest {
+    /** */
+    private static final int OFFSET = 10;
+
+    /** */
+    private static final int VIEW_LENGTH = 80;
+
+    /** */
+    private static final String EXTERNALIZE_TEST_FILE_NAME = "externalizeTest";
+
+    /** */
+    private VectorView testVector;
+
+    /** */
+    private DenseLocalOnHeapVector parentVector;
+
+    /** */
+    private double[] parentData;
+
+    /** */
+    @Before
+    public void setup() {
+        parentVector = new DenseLocalOnHeapVector(MathTestConstants.STORAGE_SIZE);
+
+        IntStream.range(0, MathTestConstants.STORAGE_SIZE).forEach(idx -> parentVector.set(idx, Math.random()));
+
+        parentData = parentVector.getStorage().data().clone();
+
+        testVector = new VectorView(parentVector, OFFSET, VIEW_LENGTH);
+    }
+
+    /** */
+    @AfterClass
+    public static void cleanup() throws IOException {
+        Files.deleteIfExists(Paths.get(EXTERNALIZE_TEST_FILE_NAME));
+    }
+
+    /** */
+    @Test
+    public void testCopy() throws Exception {
+        Vector cp = testVector.copy();
+
+        assertTrue(MathTestConstants.VAL_NOT_EQUALS, cp.equals(testVector));
+    }
+
+    /** */
+    @Test(expected = org.apache.ignite.math.exceptions.UnsupportedOperationException.class)
+    public void testLike() throws Exception {
+        for (int card : new int[] {1, 2, 4, 8, 16, 32, 64, 128})
+            consumeSampleVectors((v, desc) -> {
+                Vector vLike = new VectorView(v, 0, 1).like(card);
+
+                Class<? extends Vector> expType = v.getClass();
+
+                assertNotNull("Expect non-null like vector for " + expType.getSimpleName() + " in " + desc, vLike);
+
+                assertEquals("Expect size equal to cardinality at " + desc, card, vLike.size());
+
+                Class<? extends Vector> actualType = vLike.getClass();
+
+                assertTrue("Expected matrix type " + expType.getSimpleName()
+                        + " should be assignable from actual type " + actualType.getSimpleName() + " in " + desc,
+                    expType.isAssignableFrom(actualType));
+
+            });
+    }
+
+    /** See also {@link VectorToMatrixTest#testLikeMatrix()}. */
+    @Test
+    public void testLikeMatrix() {
+        consumeSampleVectors((v, desc) -> {
+            boolean expECaught = false;
+
+            try {
+                assertNull("Null view instead of exception in " + desc, new VectorView(v, 0, 1).likeMatrix(1, 1));
+            }
+            catch (UnsupportedOperationException uoe) {
+                expECaught = true;
+            }
+
+            assertTrue("Expected exception was not caught in " + desc, expECaught);
+        });
+    }
+
+    /** */
+    @Test
+    public void testWriteReadExternal() throws Exception {
+        assertNotNull("Unexpected null parent data", parentData);
+
+        File f = new File(EXTERNALIZE_TEST_FILE_NAME);
+
+        try {
+            ObjectOutputStream objOutputStream = new ObjectOutputStream(new FileOutputStream(f));
+
+            objOutputStream.writeObject(testVector);
+
+            objOutputStream.close();
+
+            ObjectInputStream objInputStream = new ObjectInputStream(new FileInputStream(f));
+
+            VectorView readVector = (VectorView)objInputStream.readObject();
+
+            objInputStream.close();
+
+            assertTrue(MathTestConstants.VAL_NOT_EQUALS, testVector.equals(readVector));
+        }
+        catch (ClassNotFoundException | IOException e) {
+            fail(e.getMessage());
+        }
+    }
+
+    /** */
+    private void consumeSampleVectors(BiConsumer<Vector, String> consumer) {
+        new VectorImplementationsFixtures().consumeSampleVectors(null, consumer);
+    }
+
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/acd21fb8/pom.xml
----------------------------------------------------------------------
diff --git a/pom.xml b/pom.xml
index 5f2cb7c..9e9d877 100644
--- a/pom.xml
+++ b/pom.xml
@@ -933,6 +933,13 @@
                 </plugins>
             </build>
         </profile>
+
+        <profile>
+            <id>math</id>
+            <modules>
+                <module>modules/math</module>
+            </modules>
+        </profile>
     </profiles>
 
     <build>