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/*
 * Licensed to the Apache Software Foundation (ASF) under one
 * or more contributor license agreements.  See the NOTICE file
 * distributed with this work for additional information
 * regarding copyright ownership.  The ASF licenses this file
 * to you under the Apache License, Version 2.0 (the
 * "License"); you may not use this file except in compliance
 * with the License.  You may obtain a copy of the License at
 *
 *   http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing,
 * software distributed under the License is distributed on an
 * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
 * KIND, either express or implied.  See the License for the
 * specific language governing permissions and limitations
 * under the License.
 */
package hivemall.ftvec.pairing;

import hivemall.model.FeatureValue;
import hivemall.utils.HivemallUtils;

import java.util.ArrayList;
import java.util.Collections;
import java.util.List;

import org.apache.hadoop.hive.ql.exec.Description;
import org.apache.hadoop.hive.ql.exec.UDF;
import org.apache.hadoop.hive.ql.metadata.HiveException;
import org.apache.hadoop.hive.ql.udf.UDFType;
import org.apache.hadoop.io.Text;

/**
 * Maps a vector `(x, y, z, ...)` into a polynomial feature space `(x, y, z, x^2, xy, xz, y^2, yz,
 * z^2, x^3, x^2y, x^2z, xyz, ...)^T`.
 */
@Description(name = "polynomial_features",
        value = "_FUNC_(feature_vector in array) - Returns a feature vector"
                + "having polynomial feature space")
@UDFType(deterministic = true, stateful = false)
public final class PolynomialFeaturesUDF extends UDF {

    public List evaluate(final List ftvec, final int degree) throws HiveException {
        return evaluate(ftvec, degree, false, true);
    }

    public List evaluate(final List ftvec, final int degree,
            final boolean interactionOnly) throws HiveException {
        return evaluate(ftvec, degree, interactionOnly, true);
    }

    public List evaluate(final List ftvec, final int degree,
            final boolean interactionOnly, final boolean truncate) throws HiveException {
        if (ftvec == null) {
            return null;
        }
        if (degree < 2) {
            throw new HiveException("degree must be greater than or equals to 2: " + degree);
        }
        final int origSize = ftvec.size();
        if (origSize == 0) {
            return Collections.emptyList();
        }

        final List srcVec = HivemallUtils.parseTextFeaturesAsString(ftvec);

        final List dstVec = new ArrayList(origSize * degree * 2);
        for (int i = 0; i < origSize; i++) {
            Text t = ftvec.get(i);
            if (t == null) {
                continue;
            }
            dstVec.add(t); // x^1

            FeatureValue fv = srcVec.get(i);
            float v = fv.getValueAsFloat();
            if (truncate == false || (v != 0.f && v != 1.f)) {
                String f = fv.getFeature();
                addPolynomialFeature(f, v, 2, degree, srcVec, i, dstVec, interactionOnly, truncate);
            }

        }
        return dstVec;
    }

    private static void addPolynomialFeature(final String baseF, final float baseV,
            final int currentDegree, final int degree, final List srcVec,
            final int currentSrcPos, final List dstVec, final boolean interactionOnly,
            final boolean truncate) {
        assert (currentDegree <= degree) : "currentDegree: " + currentDegree + ", degree: "
                + degree;

        final int lastSrcIndex = srcVec.size() - 1;
        for (int i = currentSrcPos; i <= lastSrcIndex; i++) {
            if (interactionOnly && i == currentSrcPos) {
                continue;
            }

            FeatureValue ftvec = srcVec.get(i);
            float v = ftvec.getValueAsFloat();
            if (truncate && (v == 0.f || v == 1.f)) {
                continue;
            }
            String f = ftvec.getFeature();

            String f2 = baseF + '^' + f;
            float v2 = baseV * v;
            String fv2 = f2 + ':' + v2;
            dstVec.add(new Text(fv2)); // x^x

            if (currentDegree < degree && i <= lastSrcIndex) {
                addPolynomialFeature(f2, v2, currentDegree + 1, degree, srcVec, i, dstVec,
                    interactionOnly, truncate);
            }
        }
    }

}