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From sboi...@apache.org
Subject [50/54] [abbrv] ignite git commit: IGNITE-5000 Rename Ignite Math module to Ignite ML module
Date Tue, 18 Apr 2017 05:26:05 GMT
http://git-wip-us.apache.org/repos/asf/ignite/blob/732dfea9/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/CacheVectorExample.java
----------------------------------------------------------------------
diff --git a/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/CacheVectorExample.java b/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/CacheVectorExample.java
new file mode 100644
index 0000000..3e83ef5
--- /dev/null
+++ b/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/CacheVectorExample.java
@@ -0,0 +1,102 @@
+/*
+ * 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.examples.ml.math.vector;
+
+import org.apache.ignite.Ignite;
+import org.apache.ignite.IgniteCache;
+import org.apache.ignite.Ignition;
+import org.apache.ignite.configuration.CacheConfiguration;
+import org.apache.ignite.math.IdentityValueMapper;
+import org.apache.ignite.math.ValueMapper;
+import org.apache.ignite.math.VectorKeyMapper;
+import org.apache.ignite.math.impls.vector.CacheVector;
+
+/**
+ * This example shows how to use {@link CacheVector} API.
+ */
+public class CacheVectorExample {
+    /** */ private static final String CACHE_NAME = CacheVectorExample.class.getSimpleName();
+    /** */ private static final int CARDINALITY = 10;
+
+    /**
+     * Executes example.
+     *
+     * @param args Command line arguments, none required.
+     */
+    public static void main(String[] args) {
+        try (Ignite ignite = Ignition.start("examples/config/example-ignite.xml")) {
+            System.out.println();
+            System.out.println(">>> CacheVector example started.");
+
+            CacheConfiguration<Integer, Double> cfg = new CacheConfiguration<>();
+
+            cfg.setName(CACHE_NAME);
+
+            try (IgniteCache<Integer, Double> cache = ignite.getOrCreateCache(cfg)) {
+                double[] testValues1 = {1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0};
+                double[] testValues2 = {0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0};
+
+                ValueMapper valMapper = new IdentityValueMapper();
+
+                // Map vector element index to cache keys.
+                VectorKeyMapper<Integer> keyMapper1 = new VectorKeyMapper<Integer>() {
+                    @Override public Integer apply(int i) {
+                        return i;
+                    }
+
+                    @Override public boolean isValid(Integer integer) {
+                        return integer >= 0 && CARDINALITY > integer;
+                    }
+                };
+
+                // Map vector element index to cache keys with shift.
+                VectorKeyMapper<Integer> keyMapper2 = new VectorKeyMapper<Integer>() {
+                    @Override public Integer apply(int i) {
+                        return i + CARDINALITY;
+                    }
+
+                    @Override public boolean isValid(Integer integer) {
+                        return integer >= 0 && CARDINALITY > integer;
+                    }
+                };
+
+                // Create two cache vectors over one cache.
+                CacheVector cacheVector1 = new CacheVector(CARDINALITY, cache, keyMapper1, valMapper);
+                System.out.println(">>> First cache vector created.");
+
+                CacheVector cacheVector2 = new CacheVector(CARDINALITY, cache, keyMapper2, valMapper);
+                System.out.println(">>> Second cache vector created.");
+
+                cacheVector1.assign(testValues1);
+                cacheVector2.assign(testValues2);
+
+                // Dot product for orthogonal vectors is 0.0.
+                assert cacheVector1.dot(cacheVector2) == 0.0;
+
+                System.out.println(">>>");
+                System.out.println(">>> Finished executing Ignite \"CacheVector\" example.");
+                System.out.println(">>> Dot product is 0.0 for orthogonal vectors.");
+                System.out.println(">>>");
+            }
+            finally {
+                // Distributed cache could be removed from cluster only by #destroyCache() call.
+                ignite.destroyCache(CACHE_NAME);
+            }
+        }
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/732dfea9/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/ExampleVectorStorage.java
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diff --git a/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/ExampleVectorStorage.java b/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/ExampleVectorStorage.java
new file mode 100644
index 0000000..b382c46
--- /dev/null
+++ b/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/ExampleVectorStorage.java
@@ -0,0 +1,126 @@
+/*
+ * 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.examples.ml.math.vector;
+
+import java.io.IOException;
+import java.io.ObjectInput;
+import java.io.ObjectOutput;
+import java.util.Arrays;
+
+import org.apache.ignite.math.VectorStorage;
+
+/**
+ * Example vector storage, modeled after {@link org.apache.ignite.math.impls.storage.vector.ArrayVectorStorage}.
+ */
+class ExampleVectorStorage implements VectorStorage {
+    /** */
+    private double[] data;
+
+    /**
+     * IMPL NOTE required by Externalizable
+     */
+    public ExampleVectorStorage() {
+        // No-op.
+    }
+
+    /**
+     * @param data backing data array.
+     */
+    ExampleVectorStorage(double[] data) {
+        assert data != null;
+
+        this.data = data;
+    }
+
+    /** {@inheritDoc} */
+    @Override public int size() {
+        return data == null ? 0 : data.length;
+    }
+
+    /** {@inheritDoc} */
+    @Override public double get(int i) {
+        return data[i];
+    }
+
+    /** {@inheritDoc} */
+    @Override public void set(int i, double v) {
+        data[i] = v;
+    }
+
+    /** {@inheritDoc}} */
+    @Override public boolean isArrayBased() {
+        return true;
+    }
+
+    /** {@inheritDoc} */
+    @Override public double[] data() {
+        return data;
+    }
+
+    /** {@inheritDoc} */
+    @Override public boolean isSequentialAccess() {
+        return true;
+    }
+
+    /** {@inheritDoc} */
+    @Override public boolean isDense() {
+        return true;
+    }
+
+    /** {@inheritDoc} */
+    @Override public boolean isRandomAccess() {
+        return true;
+    }
+
+    /** {@inheritDoc} */
+    @Override public boolean isDistributed() {
+        return false;
+    }
+
+    /** {@inheritDoc} */
+    @Override public void writeExternal(ObjectOutput out) throws IOException {
+        out.writeObject(data);
+    }
+
+    /** {@inheritDoc} */
+    @Override public void readExternal(ObjectInput in) throws IOException, ClassNotFoundException {
+        data = (double[])in.readObject();
+    }
+
+    /** {@inheritDoc} */
+    @Override public int hashCode() {
+        int res = 1;
+
+        res = res * 37 + Arrays.hashCode(data);
+
+        return res;
+    }
+
+    /** {@inheritDoc} */
+    @Override public boolean equals(Object obj) {
+        if (this == obj)
+            return true;
+
+        if (obj == null || getClass() != obj.getClass())
+            return false;
+
+        ExampleVectorStorage that = (ExampleVectorStorage)obj;
+
+        return Arrays.equals(data, (that.data));
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/732dfea9/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/OffHeapVectorExample.java
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diff --git a/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/OffHeapVectorExample.java b/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/OffHeapVectorExample.java
new file mode 100644
index 0000000..031843b
--- /dev/null
+++ b/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/OffHeapVectorExample.java
@@ -0,0 +1,78 @@
+/*
+ * 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.examples.ml.math.vector;
+
+import java.util.Arrays;
+import org.apache.ignite.math.Vector;
+import org.apache.ignite.math.impls.vector.DenseLocalOffHeapVector;
+
+/**
+ * This example shows how to use off-heap {@link Vector} API.
+ */
+public final class OffHeapVectorExample {
+    /**
+     * Executes example.
+     *
+     * @param args Command line arguments, none required.
+     */
+    public static void main(String[] args) {
+        System.out.println();
+        System.out.println(">>> Off-heap vector API usage example started.");
+
+        System.out.println("\n>>> Creating perpendicular off-heap vectors.");
+        double[] data1 = new double[] {1, 0, 3, 0, 5, 0};
+        double[] data2 = new double[] {0, 2, 0, 4, 0, 6};
+
+        Vector v1 = new DenseLocalOffHeapVector(data1.length);
+        Vector v2 = new DenseLocalOffHeapVector(data2.length);
+
+        v1.assign(data1);
+        v2.assign(data2);
+
+        System.out.println(">>> First vector: " + Arrays.toString(data1));
+        System.out.println(">>> Second vector: " + Arrays.toString(data2));
+
+        double dotProduct = v1.dot(v2);
+        boolean dotProductIsAsExp = dotProduct == 0;
+
+        System.out.println("\n>>> Dot product of vectors: [" + dotProduct
+            + "], it is 0 as expected: [" + dotProductIsAsExp + "].");
+
+        assert dotProductIsAsExp : "Expect dot product of perpendicular vectors to be 0.";
+
+        Vector hypotenuse = v1.plus(v2);
+
+        System.out.println("\n>>> Hypotenuse (sum of vectors): " + Arrays.toString(hypotenuse.getStorage().data()));
+
+        double lenSquared1 = v1.getLengthSquared();
+        double lenSquared2 = v2.getLengthSquared();
+        double lenSquaredHypotenuse = hypotenuse.getLengthSquared();
+
+        boolean lenSquaredHypotenuseIsAsExp = lenSquaredHypotenuse == lenSquared1 + lenSquared2;
+
+        System.out.println(">>> Squared length of first vector: [" + lenSquared1 + "].");
+        System.out.println(">>> Squared length of second vector: [" + lenSquared2 + "].");
+        System.out.println(">>> Squared length of hypotenuse: [" + lenSquaredHypotenuse
+            + "], equals sum of squared lengths of two original vectors as expected: ["
+            + lenSquaredHypotenuseIsAsExp + "].");
+
+        assert lenSquaredHypotenuseIsAsExp : "Expect squared length of hypotenuse to be as per Pythagorean theorem.";
+
+        System.out.println("\n>>> Off-heap vector API usage example completed.");
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/732dfea9/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/SparseVectorExample.java
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diff --git a/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/SparseVectorExample.java b/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/SparseVectorExample.java
new file mode 100644
index 0000000..f5678f6
--- /dev/null
+++ b/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/SparseVectorExample.java
@@ -0,0 +1,80 @@
+/*
+ * 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.examples.ml.math.vector;
+
+import java.util.Arrays;
+import org.apache.ignite.math.Vector;
+import org.apache.ignite.math.impls.vector.SparseLocalVector;
+
+import static org.apache.ignite.math.StorageConstants.RANDOM_ACCESS_MODE;
+
+/**
+ * This example shows how to use sparse {@link Vector} API.
+ */
+public final class SparseVectorExample {
+    /**
+     * Executes example.
+     *
+     * @param args Command line arguments, none required.
+     */
+    public static void main(String[] args) {
+        System.out.println();
+        System.out.println(">>> Sparse vector API usage example started.");
+
+        System.out.println("\n>>> Creating perpendicular sparse vectors.");
+        double[] data1 = new double[] {1, 0, 3, 0, 5, 0};
+        double[] data2 = new double[] {0, 2, 0, 4, 0, 6};
+
+        Vector v1 = new SparseLocalVector(data1.length, RANDOM_ACCESS_MODE);
+        Vector v2 = new SparseLocalVector(data2.length, RANDOM_ACCESS_MODE);
+
+        v1.assign(data1);
+        v2.assign(data2);
+
+        System.out.println(">>> First vector: " + Arrays.toString(data1));
+        System.out.println(">>> Second vector: " + Arrays.toString(data2));
+
+        double dotProduct = v1.dot(v2);
+        boolean dotProductIsAsExp = dotProduct == 0;
+
+        System.out.println("\n>>> Dot product of vectors: [" + dotProduct
+            + "], it is 0 as expected: [" + dotProductIsAsExp + "].");
+
+        assert dotProductIsAsExp : "Expect dot product of perpendicular vectors to be 0.";
+
+        Vector hypotenuse = v1.plus(v2);
+
+        System.out.println("\n>>> Hypotenuse (sum of vectors): " + Arrays.toString(hypotenuse.getStorage().data()));
+
+        double lenSquared1 = v1.getLengthSquared();
+        double lenSquared2 = v2.getLengthSquared();
+        double lenSquaredHypotenuse = hypotenuse.getLengthSquared();
+
+        boolean lenSquaredHypotenuseIsAsExp = lenSquaredHypotenuse == lenSquared1 + lenSquared2;
+
+        System.out.println(">>> Squared length of first vector: [" + lenSquared1 + "].");
+        System.out.println(">>> Squared length of second vector: [" + lenSquared2 + "].");
+        System.out.println(">>> Squared length of hypotenuse: [" + lenSquaredHypotenuse
+            + "], equals sum of squared lengths of two original vectors as expected: ["
+            + lenSquaredHypotenuseIsAsExp + "].");
+
+        assert lenSquaredHypotenuseIsAsExp : "Expect squared length of hypotenuse to be as per Pythagorean theorem.";
+
+        System.out.println("\n>>> Sparse vector API usage example completed.");
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/732dfea9/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/VectorCustomStorageExample.java
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diff --git a/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/VectorCustomStorageExample.java b/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/VectorCustomStorageExample.java
new file mode 100644
index 0000000..2d549ae
--- /dev/null
+++ b/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/VectorCustomStorageExample.java
@@ -0,0 +1,124 @@
+/*
+ * 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.examples.ml.math.vector;
+
+import java.util.Arrays;
+import org.apache.ignite.math.Matrix;
+import org.apache.ignite.math.Vector;
+import org.apache.ignite.math.VectorStorage;
+import org.apache.ignite.math.impls.matrix.DenseLocalOnHeapMatrix;
+import org.apache.ignite.math.impls.vector.AbstractVector;
+
+/**
+ * This example shows how to use {@link Vector} based on custom {@link VectorStorage}.
+ */
+public final class VectorCustomStorageExample {
+    /**
+     * Executes example.
+     *
+     * @param args Command line arguments, none required.
+     */
+    public static void main(String[] args) {
+        System.out.println();
+        System.out.println(">>> Vector custom storage API usage example started.");
+
+        System.out.println("\n>>> Creating perpendicular vectors.");
+        double[] data1 = new double[] {1, 0, 3, 0, 5, 0};
+        double[] data2 = new double[] {0, 2, 0, 4, 0, 6};
+
+        Vector v1 = new VectorCustomStorage(data1);
+        Vector v2 = new VectorCustomStorage(data2);
+
+        System.out.println(">>> First vector: " + Arrays.toString(data1));
+        System.out.println(">>> Second vector: " + Arrays.toString(data2));
+
+        double dotProduct = v1.dot(v2);
+        boolean dotProductIsAsExp = dotProduct == 0;
+
+        System.out.println("\n>>> Dot product of vectors: [" + dotProduct
+            + "], it is 0 as expected: [" + dotProductIsAsExp + "].");
+
+        assert dotProductIsAsExp : "Expect dot product of perpendicular vectors to be 0.";
+
+        Vector hypotenuse = v1.plus(v2);
+
+        System.out.println("\n>>> Hypotenuse (sum of vectors): " + Arrays.toString(hypotenuse.getStorage().data()));
+
+        double lenSquared1 = v1.getLengthSquared();
+        double lenSquared2 = v2.getLengthSquared();
+        double lenSquaredHypotenuse = hypotenuse.getLengthSquared();
+
+        boolean lenSquaredHypotenuseIsAsExp = lenSquaredHypotenuse == lenSquared1 + lenSquared2;
+
+        System.out.println(">>> Squared length of first vector: [" + lenSquared1 + "].");
+        System.out.println(">>> Squared length of second vector: [" + lenSquared2 + "].");
+        System.out.println(">>> Squared length of hypotenuse: [" + lenSquaredHypotenuse
+            + "], equals sum of squared lengths of two original vectors as expected: ["
+            + lenSquaredHypotenuseIsAsExp + "].");
+
+        assert lenSquaredHypotenuseIsAsExp : "Expect squared length of hypotenuse to be as per Pythagorean theorem.";
+
+        System.out.println("\n>>> Vector custom storage API usage example completed.");
+    }
+
+    /**
+     * Example of vector with custom storage, modeled after
+     * {@link org.apache.ignite.math.impls.vector.DenseLocalOnHeapVector}.
+     */
+    static class VectorCustomStorage extends AbstractVector {
+        /**
+         * @param arr Source array.
+         * @param cp {@code true} to clone array, reuse it otherwise.
+         */
+        private VectorStorage mkStorage(double[] arr, boolean cp) {
+            assert arr != null;
+
+            return new ExampleVectorStorage(cp ? arr.clone() : arr);
+        }
+
+        /** */
+        public VectorCustomStorage() {
+            // No-op.
+        }
+
+        /**
+         * @param arr Source array.
+         * @param shallowCp {@code true} to use shallow copy.
+         */
+        VectorCustomStorage(double[] arr, boolean shallowCp) {
+            setStorage(mkStorage(arr, shallowCp));
+        }
+
+        /**
+         * @param arr Source array.
+         */
+        VectorCustomStorage(double[] arr) {
+            this(arr, false);
+        }
+
+        /** {@inheritDoc} */
+        @Override public Matrix likeMatrix(int rows, int cols) {
+            return new DenseLocalOnHeapMatrix(rows, cols);
+        }
+
+        /** {@inheritDoc */
+        @Override public Vector like(int crd) {
+            return new org.apache.ignite.math.impls.vector.DenseLocalOnHeapVector(crd);
+        }
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/732dfea9/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/VectorExample.java
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diff --git a/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/VectorExample.java b/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/VectorExample.java
new file mode 100644
index 0000000..d6971a7
--- /dev/null
+++ b/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/VectorExample.java
@@ -0,0 +1,75 @@
+/*
+ * 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.examples.ml.math.vector;
+
+import java.util.Arrays;
+import org.apache.ignite.math.Vector;
+import org.apache.ignite.math.impls.vector.DenseLocalOnHeapVector;
+
+/**
+ * This example shows how to use {@link Vector} API.
+ */
+public final class VectorExample {
+    /**
+     * Executes example.
+     *
+     * @param args Command line arguments, none required.
+     */
+    public static void main(String[] args) {
+        System.out.println();
+        System.out.println(">>> Basic Vector API usage example started.");
+
+        System.out.println("\n>>> Creating perpendicular vectors.");
+        double[] data1 = new double[] {1, 0, 3, 0, 5, 0};
+        double[] data2 = new double[] {0, 2, 0, 4, 0, 6};
+
+        Vector v1 = new DenseLocalOnHeapVector(data1);
+        Vector v2 = new DenseLocalOnHeapVector(data2);
+
+        System.out.println(">>> First vector: " + Arrays.toString(data1));
+        System.out.println(">>> Second vector: " + Arrays.toString(data2));
+
+        double dotProduct = v1.dot(v2);
+        boolean dotProductIsAsExp = dotProduct == 0;
+
+        System.out.println("\n>>> Dot product of vectors: [" + dotProduct
+            + "], it is 0 as expected: [" + dotProductIsAsExp + "].");
+
+        assert dotProductIsAsExp : "Expect dot product of perpendicular vectors to be 0.";
+
+        Vector hypotenuse = v1.plus(v2);
+
+        System.out.println("\n>>> Hypotenuse (sum of vectors): " + Arrays.toString(hypotenuse.getStorage().data()));
+
+        double lenSquared1 = v1.getLengthSquared();
+        double lenSquared2 = v2.getLengthSquared();
+        double lenSquaredHypotenuse = hypotenuse.getLengthSquared();
+
+        boolean lenSquaredHypotenuseIsAsExp = lenSquaredHypotenuse == lenSquared1 + lenSquared2;
+
+        System.out.println(">>> Squared length of first vector: [" + lenSquared1 + "].");
+        System.out.println(">>> Squared length of second vector: [" + lenSquared2 + "].");
+        System.out.println(">>> Squared length of hypotenuse: [" + lenSquaredHypotenuse
+            + "], equals sum of squared lengths of two original vectors as expected: ["
+            + lenSquaredHypotenuseIsAsExp + "].");
+
+        assert lenSquaredHypotenuseIsAsExp : "Expect squared length of hypotenuse to be as per Pythagorean theorem.";
+
+        System.out.println("\n>>> Basic Vector API usage example completed.");
+    }
+}

http://git-wip-us.apache.org/repos/asf/ignite/blob/732dfea9/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/package-info.java
----------------------------------------------------------------------
diff --git a/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/package-info.java b/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/package-info.java
new file mode 100644
index 0000000..2cc74ac
--- /dev/null
+++ b/examples/src/main/ml/org/apache/ignite/examples/ml/math/vector/package-info.java
@@ -0,0 +1,22 @@
+/*
+ * 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 description. -->
+ * Core algebra vector examples.
+ */
+package org.apache.ignite.examples.ml.math.vector;

http://git-wip-us.apache.org/repos/asf/ignite/blob/732dfea9/modules/math/README.txt
----------------------------------------------------------------------
diff --git a/modules/math/README.txt b/modules/math/README.txt
deleted file mode 100644
index a48da21..0000000
--- a/modules/math/README.txt
+++ /dev/null
@@ -1,15 +0,0 @@
-Apache Ignite Math Module
-------------------------------
-
-Apache Ignite Math module provides several implementations of vector and matrices.
-
-Module includes on heap and off heap, dense and sparse, local and distributed implementations.
-
-Based on ideas from Apache Mahout.
-
-# Local build with javadoc
-
-Run from project root:
-mvn clean package -Pmath -DskipTests -pl modules/math -am
-
-Find generated jars in target folder.
\ No newline at end of file

http://git-wip-us.apache.org/repos/asf/ignite/blob/732dfea9/modules/math/licenses/apache-2.0.txt
----------------------------------------------------------------------
diff --git a/modules/math/licenses/apache-2.0.txt b/modules/math/licenses/apache-2.0.txt
deleted file mode 100644
index d645695..0000000
--- a/modules/math/licenses/apache-2.0.txt
+++ /dev/null
@@ -1,202 +0,0 @@
-
-                                 Apache License
-                           Version 2.0, January 2004
-                        http://www.apache.org/licenses/
-
-   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
-
-   1. Definitions.
-
-      "License" shall mean the terms and conditions for use, reproduction,
-      and distribution as defined by Sections 1 through 9 of this document.
-
-      "Licensor" shall mean the copyright owner or entity authorized by
-      the copyright owner that is granting the License.
-
-      "Legal Entity" shall mean the union of the acting entity and all
-      other entities that control, are controlled by, or are under common
-      control with that entity. For the purposes of this definition,
-      "control" means (i) the power, direct or indirect, to cause the
-      direction or management of such entity, whether by contract or
-      otherwise, or (ii) ownership of fifty percent (50%) or more of the
-      outstanding shares, or (iii) beneficial ownership of such entity.
-
-      "You" (or "Your") shall mean an individual or Legal Entity
-      exercising permissions granted by this License.
-
-      "Source" form shall mean the preferred form for making modifications,
-      including but not limited to software source code, documentation
-      source, and configuration files.
-
-      "Object" form shall mean any form resulting from mechanical
-      transformation or translation of a Source form, including but
-      not limited to compiled object code, generated documentation,
-      and conversions to other media types.
-
-      "Work" shall mean the work of authorship, whether in Source or
-      Object form, made available under the License, as indicated by a
-      copyright notice that is included in or attached to the work
-      (an example is provided in the Appendix below).
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-      "Derivative Works" shall mean any work, whether in Source or Object
-      form, that is based on (or derived from) the Work and for which the
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-      of this License, Derivative Works shall not include works that remain
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-      to that Work or Derivative Works thereof, that is intentionally
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-      to the Licensor or its representatives, including but not limited to
-      communication on electronic mailing lists, source code control systems,
-      and issue tracking systems that are managed by, or on behalf of, the
-      Licensor for the purpose of discussing and improving the Work, but
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-      the conditions stated in this License.
-
-   5. Submission of Contributions. Unless You explicitly state otherwise,
-      any Contribution intentionally submitted for inclusion in the Work
-      by You to the Licensor shall be under the terms and conditions of
-      this License, without any additional terms or conditions.
-      Notwithstanding the above, nothing herein shall supersede or modify
-      the terms of any separate license agreement you may have executed
-      with Licensor regarding such Contributions.
-
-   6. Trademarks. This License does not grant permission to use the trade
-      names, trademarks, service marks, or product names of the Licensor,
-      except as required for reasonable and customary use in describing the
-      origin of the Work and reproducing the content of the NOTICE file.
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-   7. Disclaimer of Warranty. Unless required by applicable law or
-      agreed to in writing, Licensor provides the Work (and each
-      Contributor provides its Contributions) on an "AS IS" BASIS,
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-      PARTICULAR PURPOSE. You are solely responsible for determining the
-      appropriateness of using or redistributing the Work and assume any
-      risks associated with Your exercise of permissions under this License.
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-   8. Limitation of Liability. In no event and under no legal theory,
-      whether in tort (including negligence), contract, or otherwise,
-      unless required by applicable law (such as deliberate and grossly
-      negligent acts) or agreed to in writing, shall any Contributor be
-      liable to You for damages, including any direct, indirect, special,
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-      result of this License or out of the use or inability to use the
-      Work (including but not limited to damages for loss of goodwill,
-      work stoppage, computer failure or malfunction, or any and all
-      other commercial damages or losses), even if such Contributor
-      has been advised of the possibility of such damages.
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-   9. Accepting Warranty or Additional Liability. While redistributing
-      the Work or Derivative Works thereof, You may choose to offer,
-      and charge a fee for, acceptance of support, warranty, indemnity,
-      or other liability obligations and/or rights consistent with this
-      License. However, in accepting such obligations, You may act only
-      on Your own behalf and on Your sole responsibility, not on behalf
-      of any other Contributor, and only if You agree to indemnify,
-      defend, and hold each Contributor harmless for any liability
-      incurred by, or claims asserted against, such Contributor by reason
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-
-   END OF TERMS AND CONDITIONS
-
-   APPENDIX: How to apply the Apache License to your work.
-
-      To apply the Apache License to your work, attach the following
-      boilerplate notice, with the fields enclosed by brackets "[]"
-      replaced with your own identifying information. (Don't include
-      the brackets!)  The text should be enclosed in the appropriate
-      comment syntax for the file format. We also recommend that a
-      file or class name and description of purpose be included on the
-      same "printed page" as the copyright notice for easier
-      identification within third-party archives.
-
-   Copyright [yyyy] [name of copyright owner]
-
-   Licensed 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.

http://git-wip-us.apache.org/repos/asf/ignite/blob/732dfea9/modules/math/licenses/mit.txt
----------------------------------------------------------------------
diff --git a/modules/math/licenses/mit.txt b/modules/math/licenses/mit.txt
deleted file mode 100644
index 00217dc..0000000
--- a/modules/math/licenses/mit.txt
+++ /dev/null
@@ -1,7 +0,0 @@
-Copyright <YEAR> <COPYRIGHT HOLDER>
-
-Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:
-
-The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.
-
-THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
\ No newline at end of file

http://git-wip-us.apache.org/repos/asf/ignite/blob/732dfea9/modules/math/pom.xml
----------------------------------------------------------------------
diff --git a/modules/math/pom.xml b/modules/math/pom.xml
deleted file mode 100644
index d3b284e..0000000
--- a/modules/math/pom.xml
+++ /dev/null
@@ -1,109 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-
-<!--
-  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.
--->
-<!--
-    POM file.
--->
-<project xmlns="http://maven.apache.org/POM/4.0.0"
-         xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
-         xsi:schemaLocation="http://maven.apache.org/POM/4.0.0 http://maven.apache.org/xsd/maven-4.0.0.xsd">
-    <modelVersion>4.0.0</modelVersion>
-
-    <parent>
-        <artifactId>ignite-parent</artifactId>
-        <groupId>org.apache.ignite</groupId>
-        <version>1</version>
-        <relativePath>../../parent</relativePath>
-    </parent>
-
-    <artifactId>ignite-math</artifactId>
-    <version>2.0.0-SNAPSHOT</version>
-    <url>http://ignite.apache.org</url>
-
-    <properties>
-        <project.build.sourceEncoding>UTF-8</project.build.sourceEncoding>
-    </properties>
-
-    <dependencies>
-        <dependency>
-            <groupId>org.apache.ignite</groupId>
-            <artifactId>ignite-core</artifactId>
-            <version>${project.version}</version>
-        </dependency>
-
-        <dependency>
-            <groupId>org.apache.ignite</groupId>
-            <artifactId>ignite-core</artifactId>
-            <version>${project.version}</version>
-            <type>test-jar</type>
-            <scope>test</scope>
-        </dependency>
-
-        <dependency>
-            <groupId>it.unimi.dsi</groupId>
-            <artifactId>fastutil</artifactId>
-            <version>7.0.12</version>
-        </dependency>
-
-        <dependency>
-            <!-- IMPL NOTE this is to write math benchmarks results, IGN-6530 -->
-            <groupId>com.dropbox.core</groupId>
-            <artifactId>dropbox-core-sdk</artifactId>
-            <version>2.1.1</version>
-            <scope>test</scope>
-        </dependency>
-
-        <dependency>
-            <groupId>log4j</groupId>
-            <artifactId>log4j</artifactId>
-            <scope>test</scope>
-        </dependency>
-
-        <dependency>
-            <groupId>org.springframework</groupId>
-            <artifactId>spring-beans</artifactId>
-            <version>${spring.version}</version>
-            <scope>test</scope>
-        </dependency>
-
-        <dependency>
-            <groupId>org.springframework</groupId>
-            <artifactId>spring-context</artifactId>
-            <version>${spring.version}</version>
-            <scope>test</scope>
-        </dependency>
-    </dependencies>
-
-    <build>
-        <plugins>
-            <plugin>
-                <artifactId>maven-compiler-plugin</artifactId>
-                <configuration>
-                    <source>1.8</source>
-                    <target>1.8</target>
-                </configuration>
-            </plugin>
-        </plugins>
-    </build>
-
-    <profiles>
-        <profile>
-            <id>math</id>
-        </profile>
-    </profiles>
-</project>

http://git-wip-us.apache.org/repos/asf/ignite/blob/732dfea9/modules/math/src/main/java/org/apache/ignite/math/Algebra.java
----------------------------------------------------------------------
diff --git a/modules/math/src/main/java/org/apache/ignite/math/Algebra.java b/modules/math/src/main/java/org/apache/ignite/math/Algebra.java
deleted file mode 100644
index 6bfd608..0000000
--- a/modules/math/src/main/java/org/apache/ignite/math/Algebra.java
+++ /dev/null
@@ -1,571 +0,0 @@
-/*
- * 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.
- */
-
-/*
-Copyright 1999 CERN - European Organization for Nuclear Research.
-Permission to use, copy, modify, distribute and sell this software and its documentation for any purpose
-is hereby granted without fee, provided that the above copyright notice appear in all copies and
-that both that copyright notice and this permission notice appear in supporting documentation.
-CERN makes no representations about the suitability of this software for any purpose.
-It is provided "as is" without expressed or implied warranty.
-*/
-
-package org.apache.ignite.math;
-
-/**
- * Miscellaneous arithmetic and algebra functions.
- * Lifted from Apache Mahout.
- */
-public class Algebra extends Constants {
-    /** */ private static final double[] STIRLING_CORRECTION = {
-        0.0,
-        8.106146679532726e-02, 4.134069595540929e-02,
-        2.767792568499834e-02, 2.079067210376509e-02,
-        1.664469118982119e-02, 1.387612882307075e-02,
-        1.189670994589177e-02, 1.041126526197209e-02,
-        9.255462182712733e-03, 8.330563433362871e-03,
-        7.573675487951841e-03, 6.942840107209530e-03,
-        6.408994188004207e-03, 5.951370112758848e-03,
-        5.554733551962801e-03, 5.207655919609640e-03,
-        4.901395948434738e-03, 4.629153749334029e-03,
-        4.385560249232324e-03, 4.166319691996922e-03,
-        3.967954218640860e-03, 3.787618068444430e-03,
-        3.622960224683090e-03, 3.472021382978770e-03,
-        3.333155636728090e-03, 3.204970228055040e-03,
-        3.086278682608780e-03, 2.976063983550410e-03,
-        2.873449362352470e-03, 2.777674929752690e-03,
-    };
-
-    /** */ private static final double[] LOG_FACTORIALS = {
-        0.00000000000000000, 0.00000000000000000, 0.69314718055994531,
-        1.79175946922805500, 3.17805383034794562, 4.78749174278204599,
-        6.57925121201010100, 8.52516136106541430, 10.60460290274525023,
-        12.80182748008146961, 15.10441257307551530, 17.50230784587388584,
-        19.98721449566188615, 22.55216385312342289, 25.19122118273868150,
-        27.89927138384089157, 30.67186010608067280, 33.50507345013688888,
-        36.39544520803305358, 39.33988418719949404, 42.33561646075348503,
-        45.38013889847690803, 48.47118135183522388, 51.60667556776437357,
-        54.78472939811231919, 58.00360522298051994, 61.26170176100200198,
-        64.55753862700633106, 67.88974313718153498, 71.25703896716800901
-    };
-
-    /** */ private static final long[] LONG_FACTORIALS = {
-        1L,
-        1L,
-        2L,
-        6L,
-        24L,
-        120L,
-        720L,
-        5040L,
-        40320L,
-        362880L,
-        3628800L,
-        39916800L,
-        479001600L,
-        6227020800L,
-        87178291200L,
-        1307674368000L,
-        20922789888000L,
-        355687428096000L,
-        6402373705728000L,
-        121645100408832000L,
-        2432902008176640000L
-    };
-
-    /** */ private static final double[] DOUBLE_FACTORIALS = {
-        5.109094217170944E19,
-        1.1240007277776077E21,
-        2.585201673888498E22,
-        6.204484017332394E23,
-        1.5511210043330984E25,
-        4.032914611266057E26,
-        1.0888869450418352E28,
-        3.048883446117138E29,
-        8.841761993739701E30,
-        2.652528598121911E32,
-        8.222838654177924E33,
-        2.6313083693369355E35,
-        8.68331761881189E36,
-        2.952327990396041E38,
-        1.0333147966386144E40,
-        3.719933267899013E41,
-        1.3763753091226346E43,
-        5.23022617466601E44,
-        2.0397882081197447E46,
-        8.15915283247898E47,
-        3.34525266131638E49,
-        1.4050061177528801E51,
-        6.041526306337384E52,
-        2.6582715747884495E54,
-        1.196222208654802E56,
-        5.502622159812089E57,
-        2.5862324151116827E59,
-        1.2413915592536068E61,
-        6.082818640342679E62,
-        3.0414093201713376E64,
-        1.5511187532873816E66,
-        8.06581751709439E67,
-        4.274883284060024E69,
-        2.308436973392413E71,
-        1.2696403353658264E73,
-        7.109985878048632E74,
-        4.052691950487723E76,
-        2.350561331282879E78,
-        1.386831185456898E80,
-        8.32098711274139E81,
-        5.075802138772246E83,
-        3.146997326038794E85,
-        1.9826083154044396E87,
-        1.2688693218588414E89,
-        8.247650592082472E90,
-        5.443449390774432E92,
-        3.6471110918188705E94,
-        2.48003554243683E96,
-        1.7112245242814127E98,
-        1.1978571669969892E100,
-        8.504785885678624E101,
-        6.123445837688612E103,
-        4.470115461512686E105,
-        3.307885441519387E107,
-        2.4809140811395404E109,
-        1.8854947016660506E111,
-        1.451830920282859E113,
-        1.1324281178206295E115,
-        8.94618213078298E116,
-        7.15694570462638E118,
-        5.797126020747369E120,
-        4.7536433370128435E122,
-        3.94552396972066E124,
-        3.314240134565354E126,
-        2.8171041143805494E128,
-        2.4227095383672744E130,
-        2.107757298379527E132,
-        1.854826422573984E134,
-        1.6507955160908465E136,
-        1.4857159644817605E138,
-        1.3520015276784033E140,
-        1.2438414054641305E142,
-        1.156772507081641E144,
-        1.0873661566567426E146,
-        1.0329978488239061E148,
-        9.916779348709491E149,
-        9.619275968248216E151,
-        9.426890448883248E153,
-        9.332621544394415E155,
-        9.332621544394418E157,
-        9.42594775983836E159,
-        9.614466715035125E161,
-        9.902900716486178E163,
-        1.0299016745145631E166,
-        1.0813967582402912E168,
-        1.1462805637347086E170,
-        1.2265202031961373E172,
-        1.324641819451829E174,
-        1.4438595832024942E176,
-        1.5882455415227423E178,
-        1.7629525510902457E180,
-        1.974506857221075E182,
-        2.2311927486598138E184,
-        2.543559733472186E186,
-        2.925093693493014E188,
-        3.393108684451899E190,
-        3.96993716080872E192,
-        4.6845258497542896E194,
-        5.574585761207606E196,
-        6.689502913449135E198,
-        8.094298525273444E200,
-        9.875044200833601E202,
-        1.2146304367025332E205,
-        1.506141741511141E207,
-        1.882677176888926E209,
-        2.3721732428800483E211,
-        3.0126600184576624E213,
-        3.856204823625808E215,
-        4.974504222477287E217,
-        6.466855489220473E219,
-        8.471580690878813E221,
-        1.1182486511960037E224,
-        1.4872707060906847E226,
-        1.99294274616152E228,
-        2.690472707318049E230,
-        3.6590428819525483E232,
-        5.0128887482749884E234,
-        6.917786472619482E236,
-        9.615723196941089E238,
-        1.3462012475717523E241,
-        1.8981437590761713E243,
-        2.6953641378881633E245,
-        3.8543707171800694E247,
-        5.550293832739308E249,
-        8.047926057471989E251,
-        1.1749972043909107E254,
-        1.72724589045464E256,
-        2.5563239178728637E258,
-        3.8089226376305687E260,
-        5.7133839564458575E262,
-        8.627209774233244E264,
-        1.3113358856834527E267,
-        2.0063439050956838E269,
-        3.0897696138473515E271,
-        4.789142901463393E273,
-        7.471062926282892E275,
-        1.1729568794264134E278,
-        1.8532718694937346E280,
-        2.946702272495036E282,
-        4.714723635992061E284,
-        7.590705053947223E286,
-        1.2296942187394494E289,
-        2.0044015765453032E291,
-        3.287218585534299E293,
-        5.423910666131583E295,
-        9.003691705778434E297,
-        1.5036165148649983E300,
-        2.5260757449731988E302,
-        4.2690680090047056E304,
-        7.257415615308004E306
-    };
-
-    /**
-     * Efficiently returns the binomial coefficient, often also referred to as
-     * "n over k" or "n choose k". The binomial coefficient is defined as
-     * {@code (n * n-1 * ... * n-k+1 ) / ( 1 * 2 * ... * k )}.
-     * <ul> <li>{@code k&lt;0}: {@code 0}.</li>
-     * <li>{@code k==0}: {@code 1}.</li>
-     * <li>{@code k==1}: {@code n}.</li>
-     * <li>else: {@code (n * n-1 * ... * n-k+1 ) / ( 1 * 2 * ... * k)}.</li>
-     * </ul>
-     *
-     * @param n
-     * @param k
-     * @return Binomial coefficient.
-     */
-    public static double binomial(double n, long k) {
-        if (k < 0)
-            return 0;
-
-        if (k == 0)
-            return 1;
-
-        if (k == 1)
-            return n;
-
-        // binomial(n,k) = (n * n-1 * ... * n-k+1 ) / ( 1 * 2 * ... * k )
-        double a = n - k + 1;
-        double b = 1;
-        double binomial = 1;
-
-        for (long i = k; i-- > 0; )
-            binomial *= (a++) / (b++);
-
-        return binomial;
-    }
-
-    /**
-     * Efficiently returns the binomial coefficient, often also referred to as "n over k" or "n choose k".
-     * The binomial coefficient is defined as
-     * <ul> <li>{@code k&lt;0}: {@code 0}. <li>{@code k==0 || k==n}: {@code 1}. <li>{@code k==1 || k==n-1}:
-     * {@code n}. <li>else: {@code (n * n-1 * ... * n-k+1 ) / ( 1 * 2 * ... * k )}. </ul>
-     *
-     * @param n
-     * @param k
-     * @return Binomial coefficient.
-     */
-    public static double binomial(long n, long k) {
-        if (k < 0)
-            return 0;
-
-        if (k == 0 || k == n)
-            return 1;
-
-        if (k == 1 || k == n - 1)
-            return n;
-
-        if (n > k) {
-            int max = LONG_FACTORIALS.length + DOUBLE_FACTORIALS.length;
-
-            if (n < max) {
-                double nFac = factorial((int)n);
-                double kFac = factorial((int)k);
-                double nMinusKFac = factorial((int)(n - k));
-                double nk = nMinusKFac * kFac;
-
-                if (nk != Double.POSITIVE_INFINITY) // No numeric overflow?
-                    return nFac / nk;
-            }
-
-            if (k > n / 2)
-                k = n - k;
-        }
-
-        // binomial(n,k) = (n * n-1 * ... * n-k+1 ) / ( 1 * 2 * ... * k )
-        long a = n - k + 1;
-        long b = 1;
-        double binomial = 1;
-
-        for (long i = k; i-- > 0; )
-            binomial *= (double)a++ / (b++);
-
-        return binomial;
-    }
-
-    /**
-     * Returns the smallest <code>long &gt;= value</code>.
-     * <dl><dt>Examples: {@code 1.0 -> 1, 1.2 -> 2, 1.9 -> 2}. This
-     * method is safer than using (long) Math.ceil(value), because of possible rounding error.</dt></dl>
-     *
-     * @param val
-     */
-    public static long ceil(double val) {
-        return Math.round(Math.ceil(val));
-    }
-
-    /**
-     * Evaluates the series of Chebyshev polynomials Ti at argument x/2. The series is given by
-     * <pre>
-     *        N-1
-     *         - '
-     *  y  =   &gt;   coef[i] T (x/2)
-     *         -            i
-     *        i=0
-     * </pre>
-     * Coefficients are stored in reverse order, i.e. the zero order term is last in the array.  Note N is the number of
-     * coefficients, not the order. <p> If coefficients are for the interval a to b, x must have been transformed to x
-     * -&lt; 2(2x - b - a)/(b-a) before entering the routine.  This maps x from (a, b) to (-1, 1), over which the
-     * Chebyshev polynomials are defined. <p> If the coefficients are for the inverted interval, in which (a, b) is
-     * mapped to (1/b, 1/a), the transformation required is {@code x -> 2(2ab/x - b - a)/(b-a)}.  If b is infinity, this
-     * becomes {@code x -> 4a/x - 1}. <p> SPEED: <p> Taking advantage of the recurrence properties of the Chebyshev
-     * polynomials, the routine requires one more addition per loop than evaluating a nested polynomial of the same
-     * degree.
-     *
-     * @param x Argument to the polynomial.
-     * @param coef Coefficients of the polynomial.
-     * @param N Number of coefficients.
-     */
-    public static double chbevl(double x, double[] coef, int N) {
-        int p = 0;
-
-        double b0 = coef[p++];
-        double b1 = 0.0;
-        int i = N - 1;
-
-        double b2;
-
-        do {
-            b2 = b1;
-            b1 = b0;
-            b0 = x * b1 - b2 + coef[p++];
-        }
-        while (--i > 0);
-
-        return 0.5 * (b0 - b2);
-    }
-
-    /**
-     * Instantly returns the factorial {@code k!}.
-     *
-     * @param k must hold {@code k &gt;= 0}.
-     */
-    private static double factorial(int k) {
-        if (k < 0)
-            throw new IllegalArgumentException();
-
-        int len1 = LONG_FACTORIALS.length;
-
-        if (k < len1)
-            return LONG_FACTORIALS[k];
-
-        int len2 = DOUBLE_FACTORIALS.length;
-
-        return (k < len1 + len2) ? DOUBLE_FACTORIALS[k - len1] : Double.POSITIVE_INFINITY;
-    }
-
-    /**
-     * Returns the largest <code>long &lt;= value</code>.
-     * <dl><dt>Examples: {@code 1.0 -> 1, 1.2 -> 1, 1.9 -> 1 <dt> 2.0 -> 2, 2.2 -> 2, 2.9 -> 2}</dt></dl>
-     * This method is safer than using (long) Math.floor(value), because of possible rounding error.
-     */
-    public static long floor(double val) {
-        return Math.round(Math.floor(val));
-    }
-
-    /**
-     * Returns {@code log<sub>base</sub>value}.
-     */
-    public static double log(double base, double val) {
-        return Math.log(val) / Math.log(base);
-    }
-
-    /**
-     * Returns {@code log<sub>10</sub>value}.
-     */
-    public static double log10(double val) {
-        // 1.0 / Math.log(10) == 0.43429448190325176
-        return Math.log(val) * 0.43429448190325176;
-    }
-
-    /**
-     * Returns {@code log<sub>2</sub>value}.
-     */
-    public static double log2(double val) {
-        // 1.0 / Math.log(2) == 1.4426950408889634
-        return Math.log(val) * 1.4426950408889634;
-    }
-
-    /**
-     * Returns {@code log(k!)}. Tries to avoid overflows. For {@code k&lt;30} simply looks up a table in O(1).
-     * For {@code k&gt;=30} uses stirlings approximation.
-     *
-     * @param k must hold {@code k &gt;= 0}.
-     */
-    public static double logFactorial(int k) {
-        if (k >= 30) {
-            double r = 1.0 / k;
-            double rr = r * r;
-            double C7 = -5.95238095238095238e-04;
-            double C5 = 7.93650793650793651e-04;
-            double C3 = -2.77777777777777778e-03;
-            double C1 = 8.33333333333333333e-02;
-            double C0 = 9.18938533204672742e-01;
-
-            return (k + 0.5) * Math.log(k) - k + C0 + r * (C1 + rr * (C3 + rr * (C5 + rr * C7)));
-        }
-        else
-            return LOG_FACTORIALS[k];
-    }
-
-    /**
-     * Instantly returns the factorial {@code k!}.
-     *
-     * @param k must hold {@code k >= 0 && k < 21}
-     */
-    public static long longFactorial(int k) {
-        if (k < 0)
-            throw new IllegalArgumentException("Negative k");
-
-        if (k < LONG_FACTORIALS.length)
-            return LONG_FACTORIALS[k];
-
-        throw new IllegalArgumentException("Overflow");
-    }
-
-    /**
-     * Returns the StirlingCorrection.
-     *
-     * Correction term of the Stirling approximation for {@code log(k!)} (series in
-     * 1/k, or table values for small k) with int parameter k. </p> {@code  log k! = (k + 1/2)log(k + 1) - (k + 1) +
-     * (1/2)log(2Pi) + STIRLING_CORRECTION(k + 1) log k! = (k + 1/2)log(k)     -  k      + (1/2)log(2Pi) +
-     * STIRLING_CORRECTION(k) }
-     */
-    public static double stirlingCorrection(int k) {
-        if (k > 30) {
-            double r = 1.0 / k;
-            double rr = r * r;
-            double C7 = -5.95238095238095238e-04;
-            double C5 = 7.93650793650793651e-04;
-            double C3 = -2.77777777777777778e-03;
-            double C1 = 8.33333333333333333e-02;
-
-            return r * (C1 + rr * (C3 + rr * (C5 + rr * C7)));
-        }
-        else
-            return STIRLING_CORRECTION[k];
-    }
-
-    /**
-     * Evaluates the given polynomial of degree {@code N} at {@code x}, assuming coefficient of N is 1.0. Otherwise same
-     * as {@link #evalPoly(double, double[], int)}.
-     * <pre>
-     *                     2          N
-     * y  =  C  + C x + C x  +...+ C x
-     *        0    1     2          N
-     *
-     * where C  = 1 and hence is omitted from the array.
-     *        N
-     *
-     * Coefficients are stored in reverse order:
-     *
-     * coef[0] = C  , ..., coef[N-1] = C  .
-     *            N-1                   0
-     *
-     * Calling arguments are otherwise the same as {@link #evalPoly(double, double[], int)}.
-     * </pre>
-     * In the interest of speed, there are no checks for out of bounds arithmetic.
-     *
-     * @param x Argument to the polynomial.
-     * @param coef Coefficients of the polynomial.
-     * @param n Degree of the polynomial.
-     */
-    public static double evalPoly1(double x, double[] coef, int n) {
-        double res = x + coef[0];
-
-        for (int i = 1; i < n; i++)
-            res = res * x + coef[i];
-
-        return res;
-    }
-
-    /**
-     * Evaluates the given polynomial of degree {@code N} at {@code x}.
-     * <pre>
-     *                     2          N
-     * y  =  C  + C x + C x  +...+ C x
-     *        0    1     2          N
-     *
-     * Coefficients are stored in reverse order:
-     *
-     * coef[0] = C  , ..., coef[N] = C  .
-     *            N                   0
-     * </pre>
-     * In the interest of speed, there are no checks for out of bounds arithmetic.
-     *
-     * @param x Argument to the polynomial.
-     * @param coef Coefficients of the polynomial.
-     * @param n Degree of the polynomial.
-     */
-    public static double evalPoly(double x, double[] coef, int n) {
-        double res = coef[0];
-
-        for (int i = 1; i <= n; i++)
-            res = res * x + coef[i];
-
-        return res;
-    }
-
-    /**
-     * Gets <code>sqrt(a^2 + b^2)</code> without under/overflow.
-     *
-     * @param a
-     * @param b
-     */
-    public static double hypot(double a, double b) {
-        double r;
-
-        if (Math.abs(a) > Math.abs(b)) {
-            r = b / a;
-            r = Math.abs(a) * Math.sqrt(1 + r * r);
-        }
-        else if (b != 0) {
-            r = a / b;
-            r = Math.abs(b) * Math.sqrt(1 + r * r);
-        }
-        else
-            r = 0.0;
-
-        return r;
-    }
-}

http://git-wip-us.apache.org/repos/asf/ignite/blob/732dfea9/modules/math/src/main/java/org/apache/ignite/math/Constants.java
----------------------------------------------------------------------
diff --git a/modules/math/src/main/java/org/apache/ignite/math/Constants.java b/modules/math/src/main/java/org/apache/ignite/math/Constants.java
deleted file mode 100644
index 02756b6..0000000
--- a/modules/math/src/main/java/org/apache/ignite/math/Constants.java
+++ /dev/null
@@ -1,42 +0,0 @@
-/*
- * 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.
- */
-
-/*
-Copyright 1999 CERN - European Organization for Nuclear Research.
-Permission to use, copy, modify, distribute and sell this software and its documentation for any purpose
-is hereby granted without fee, provided that the above copyright notice appear in all copies and
-that both that copyright notice and this permission notice appear in supporting documentation.
-CERN makes no representations about the suitability of this software for any purpose.
-It is provided "as is" without expressed or implied warranty.
-*/
-
-package org.apache.ignite.math;
-
-/**
- * Math constants. Lifted from Apache Mahout.
- */
-public class Constants {
-    /** */ public static final double MACHEP = 1.11022302462515654042E-16;
-    /** */ public static final double MAXLOG = 7.09782712893383996732E2;
-    /** */ public static final double MINLOG = -7.451332191019412076235E2;
-    /** */ public static final double MAXGAM = 171.624376956302725;
-    /** */ public static final double SQTPI = 2.50662827463100050242E0;
-    /** */ public static final double SQRTH = 7.07106781186547524401E-1;
-    /** */ public static final double LOGPI = 1.14472988584940017414;
-    /** */ public static final double BIG = 4.503599627370496e15;
-    /** */ public static final double BIGINV = 2.22044604925031308085e-16;
-}

http://git-wip-us.apache.org/repos/asf/ignite/blob/732dfea9/modules/math/src/main/java/org/apache/ignite/math/Destroyable.java
----------------------------------------------------------------------
diff --git a/modules/math/src/main/java/org/apache/ignite/math/Destroyable.java b/modules/math/src/main/java/org/apache/ignite/math/Destroyable.java
deleted file mode 100644
index f3b467c..0000000
--- a/modules/math/src/main/java/org/apache/ignite/math/Destroyable.java
+++ /dev/null
@@ -1,30 +0,0 @@
-/*
- * 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;
-
-/**
- * Support for destroying objects that are managed outside of JVM.
- */
-public interface Destroyable {
-    /**
-     * Destroys object if managed outside of JVM. It's a no-op in all other cases.
-     */
-    public default void destroy() {
-        // No-op.
-    }
-}

http://git-wip-us.apache.org/repos/asf/ignite/blob/732dfea9/modules/math/src/main/java/org/apache/ignite/math/IdentityValueMapper.java
----------------------------------------------------------------------
diff --git a/modules/math/src/main/java/org/apache/ignite/math/IdentityValueMapper.java b/modules/math/src/main/java/org/apache/ignite/math/IdentityValueMapper.java
deleted file mode 100644
index 65c7024..0000000
--- a/modules/math/src/main/java/org/apache/ignite/math/IdentityValueMapper.java
+++ /dev/null
@@ -1,53 +0,0 @@
-/*
- * 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;
-
-/**
- * Identity value mapper.
- */
-public class IdentityValueMapper implements ValueMapper<Double> {
-    /** */ private static final long serialVersionUID = -8010078306142216389L;
-
-    /** {@inheritDoc} */
-    @Override public Double fromDouble(double v) {
-        return v;
-    }
-
-    /** {@inheritDoc} */
-    @Override public double toDouble(Double v) {
-        assert v != null;
-
-        return v;
-    }
-
-    /** {@inheritDoc} */
-    @Override public int hashCode() {
-        return Long.hashCode(serialVersionUID);
-    }
-
-    /** {@inheritDoc} */
-    @Override public boolean equals(Object o) {
-        if (this == o)
-            return true;
-
-        if (o == null || getClass() != o.getClass())
-            return false;
-
-        return true;
-    }
-}

http://git-wip-us.apache.org/repos/asf/ignite/blob/732dfea9/modules/math/src/main/java/org/apache/ignite/math/KeyMapper.java
----------------------------------------------------------------------
diff --git a/modules/math/src/main/java/org/apache/ignite/math/KeyMapper.java b/modules/math/src/main/java/org/apache/ignite/math/KeyMapper.java
deleted file mode 100644
index f4f9a39..0000000
--- a/modules/math/src/main/java/org/apache/ignite/math/KeyMapper.java
+++ /dev/null
@@ -1,33 +0,0 @@
-/*
- * 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;
-
-import java.io.Serializable;
-
-/**
- * Maps key objects to index in {@link Vector} or {@link Matrix}.
- */
-public interface KeyMapper<K> extends Serializable {
-    /**
-     * Checks given cache key corresponds to a valid index in vector or matrix.
-     *
-     * @param k Key to check.
-     * @return {@code true} if there is a valid index, {@code false} otherwise.
-     */
-    public boolean isValid(K k);
-}


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