/* MOD_V2.0
* Copyright (c) 2012 OpenDA Association
* All rights reserved.
* 
* This file is part of OpenDA. 
* 
* OpenDA is free software: you can redistribute it and/or modify 
* it under the terms of the GNU Lesser General Public License as 
* published by the Free Software Foundation, either version 3 of 
* the License, or (at your option) any later version. 
* 
* OpenDA is distributed in the hope that it will be useful, 
* but WITHOUT ANY WARRANTY; without even the implied warranty of 
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the 
* GNU Lesser General Public License for more details. 
* 
* You should have received a copy of the GNU Lesser General Public License
* along with OpenDA.  If not, see <http://www.gnu.org/licenses/>.
*/


using System;


namespace OpenDA.DotNet.Interfaces
{
    public interface IStochVector
    {
        /// <summary>
        /// Draw a realization from the uncertainty internal to the StochVector
        /// </summary>
        /// <returns>generated vector created, most often from pseudo-random numbers</returns>
        IVector CreateRealization();

        /// <summary>
        /// Evaluate the probability density function.
        /// </summary>
        /// <param name="vector">vector with value(s) for which to check pdf</param>
        /// <returns>Pdf value</returns>
        double EvaluatePdf(IVector vector);

        /// <summary>
        /// Get expectation values of the uncertain Vector
        /// </summary>
        /// <returns>expectation values</returns>
        IVector Expectations { get; }

        /// <summary>
        /// Get square-root of the covariance as an object. A square-root of the
        /// covariance P is a matrix L that satisfies P=L*transpose(L). Most often working with the
        /// square-root is more convenient than workin with the covariance itself.   
        /// </summary>
        /// <returns>Square-root of the covariance.</returns>
        ISqrtCovariance SqrtCovariance { get; }

        /// <summary>
        /// True if the elements of the stochastic vector are uncorrelated. You can treat the values one
        /// by one in a linear context if this is so.
        /// </summary>
        /// <returns>true if independent, false if dependencies exist.</returns>
        bool HasCorrelatedElements();

        /// <summary>
        /// Get the standard deviation for each element of the stochastic vector.
        /// </summary>
        /// <returns>Vector with standard deviations</returns>
        IVector StandardDeviations { get; }
    }
}