NormedRdToNormedR1Finite.java

package org.drip.spaces.functionclass;

/*
 * -*- mode: java; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
 */

/*!
 * Copyright (C) 2020 Lakshmi Krishnamurthy
 * Copyright (C) 2019 Lakshmi Krishnamurthy
 * Copyright (C) 2018 Lakshmi Krishnamurthy
 * Copyright (C) 2017 Lakshmi Krishnamurthy
 * Copyright (C) 2016 Lakshmi Krishnamurthy
 * Copyright (C) 2015 Lakshmi Krishnamurthy
 * 
 *  This file is part of DROP, an open-source library targeting analytics/risk, transaction cost analytics,
 *      asset liability management analytics, capital, exposure, and margin analytics, valuation adjustment
 *      analytics, and portfolio construction analytics within and across fixed income, credit, commodity,
 *      equity, FX, and structured products. It also includes auxiliary libraries for algorithm support,
 *      numerical analysis, numerical optimization, spline builder, model validation, statistical learning,
 *      and computational support.
 *  
 *      https://lakshmidrip.github.io/DROP/
 *  
 *  DROP is composed of three modules:
 *  
 *  - DROP Product Core - https://lakshmidrip.github.io/DROP-Product-Core/
 *  - DROP Portfolio Core - https://lakshmidrip.github.io/DROP-Portfolio-Core/
 *  - DROP Computational Core - https://lakshmidrip.github.io/DROP-Computational-Core/
 * 
 *  DROP Product Core implements libraries for the following:
 *  - Fixed Income Analytics
 *  - Loan Analytics
 *  - Transaction Cost Analytics
 * 
 *  DROP Portfolio Core implements libraries for the following:
 *  - Asset Allocation Analytics
 *  - Asset Liability Management Analytics
 *  - Capital Estimation Analytics
 *  - Exposure Analytics
 *  - Margin Analytics
 *  - XVA Analytics
 * 
 *  DROP Computational Core implements libraries for the following:
 *  - Algorithm Support
 *  - Computation Support
 *  - Function Analysis
 *  - Model Validation
 *  - Numerical Analysis
 *  - Numerical Optimizer
 *  - Spline Builder
 *  - Statistical Learning
 * 
 *  Documentation for DROP is Spread Over:
 * 
 *  - Main                     => https://lakshmidrip.github.io/DROP/
 *  - Wiki                     => https://github.com/lakshmiDRIP/DROP/wiki
 *  - GitHub                   => https://github.com/lakshmiDRIP/DROP
 *  - Repo Layout Taxonomy     => https://github.com/lakshmiDRIP/DROP/blob/master/Taxonomy.md
 *  - Javadoc                  => https://lakshmidrip.github.io/DROP/Javadoc/index.html
 *  - Technical Specifications => https://github.com/lakshmiDRIP/DROP/tree/master/Docs/Internal
 *  - Release Versions         => https://lakshmidrip.github.io/DROP/version.html
 *  - Community Credits        => https://lakshmidrip.github.io/DROP/credits.html
 *  - Issues Catalog           => https://github.com/lakshmiDRIP/DROP/issues
 *  - JUnit                    => https://lakshmidrip.github.io/DROP/junit/index.html
 *  - Jacoco                   => https://lakshmidrip.github.io/DROP/jacoco/index.html
 * 
 *  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.
 */

/**
 * <i>NormedRdToNormedR1Finite</i> implements the Class F of f : Normed R<sup>d</sup> To Normed R<sup>1</sup>
 * Spaces of Finite Functions. The Reference we've used is:
 *
 * <br><br>
 *  <ul>
 *      <li>
 *          Carl, B., and I. Stephani (1990): <i>Entropy, Compactness, and the Approximation of Operators</i>
 *              <b>Cambridge University Press</b> Cambridge UK 
 *      </li>
 *  </ul>
 *
 * <br><br>
 *  <ul>
 *      <li><b>Module </b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/ComputationalCore.md">Computational Core Module</a></li>
 *      <li><b>Library</b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/StatisticalLearningLibrary.md">Statistical Learning Library</a></li>
 *      <li><b>Project</b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/src/main/java/org/drip/spaces/README.md">R<sup>1</sup> and R<sup>d</sup> Vector/Tensor Spaces (Validated and/or Normed), and Function Classes</a></li>
 *      <li><b>Package</b> = <a href = "https://github.com/lakshmiDRIP/DROP/tree/master/src/main/java/org/drip/spaces/functionclass/README.md">Normed Finite Spaces Function Class</a></li>
 *  </ul>
 * <br><br>
 *
 * @author Lakshmi Krishnamurthy
 */

public class NormedRdToNormedR1Finite extends org.drip.spaces.functionclass.NormedRxToNormedR1Finite {

    /**
     * NormedRdToNormedR1Finite Function Class Constructor
     * 
     * @param dblMaureyConstant The Maurey Constant
     * @param aNormedRdToNormedR1 Array of the Function Spaces
     * 
     * @throws java.lang.Exception Thrown if NormedRdToNormedR1Class Instance cannot be created
     */

    public NormedRdToNormedR1Finite (
        final double dblMaureyConstant,
        final org.drip.spaces.rxtor1.NormedRdToNormedR1[] aNormedRdToNormedR1)
        throws java.lang.Exception
    {
        super (dblMaureyConstant, aNormedRdToNormedR1);

        for (int i = 0; i < aNormedRdToNormedR1.length; ++i) {
            if (null == aNormedRdToNormedR1[i])
                throw new java.lang.Exception ("NormedRdToNormedR1Finite ctr: Invalid Input Function");
        }
    }

    /**
     * Retrieve the Finite Class of R^d To R^1 Functions
     * 
     * @return The Finite Class of R^d To R^1 Functions
     */

    public org.drip.function.definition.RdToR1[] functionRdToR1Set()
    {
        org.drip.spaces.rxtor1.NormedRdToNormedR1[] aNormedRdToNormedR1 =
            (org.drip.spaces.rxtor1.NormedRdToNormedR1[]) functionSpaces();

        if (null == aNormedRdToNormedR1) return null;

        int iNumFunction = aNormedRdToNormedR1.length;
        org.drip.function.definition.RdToR1[] aRdToR1 = new
            org.drip.function.definition.RdToR1[iNumFunction];

        for (int i = 0; i < iNumFunction; ++i)
            aRdToR1[i] = aNormedRdToNormedR1[i].function();

        return aRdToR1;
    }
}