function result = prob_standard_lin_RS_test(varargin)
% PROB_STANDARD_LIN_RS_TEST  Standard Linear Resistance-Solicitation problem
%
% Test and comparison routine for a standard linear resistance-solicitation
% problem with various reliability methods
% Test case obtained from Waarts (2000)
%
%   See also

%% Copyright notice
%   --------------------------------------------------------------------
%   Copyright (C) 2011 Deltares
%       Kees den Heijer
%
%       Kees.denHeijer@Deltares.nl
%
%       Deltares
%       P.O. Box 177
%       2600 MH Delft
%       The Netherlands
%
%   This library 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 2.1 of the License, or (at your option) any later version.
%
%   This library 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 this library. If not, see <http://www.gnu.org/licenses/>.
%   --------------------------------------------------------------------

% This tools is part of <a href="http://OpenEarth.Deltares.nl">OpenEarthTools</a>.
% OpenEarthTools is an online collaboration to share and manage data and
% programming tools in an open source, version controlled environment.
% Sign up to recieve regular updates of this function, and to contribute
% your own tools.

%% Version <http://svnbook.red-bean.com/en/1.5/svn.advanced.props.special.keywords.html>
% Created: 01 Jun 2011
% Created with Matlab version: 7.12.0.635 (R2011a)

% $Id$
% $Date$
% $Author$
% $Revision$
% $HeadURL$
% $Keywords: $

MTestCategory.WorkInProgress;

%% set number of samples

if ~isempty(varargin)
    N = varargin{1};
else
    N = 1e4;
end

%% define stochastic variables
stochast = struct(...
    'Name', {
    'R'... % example stochastic variable "R" (Resistance or Strength)
    'S'... % example stochastic variable "S" (Sollicitation or Load)
    },...
    'Distr', {
    @norm_inv... % distribution function (of R)
    @norm_inv... % distribution function (of S)
    },...
    'Params', {
    {7 1}... % mu and sigma (of R)
    {2 1}... % mu and sigma (of S)
    } ...
    );

result = struct('Exact',{struct('Beta', 3.54,'P_f', norm_cdf(-3.54,0,1))});

%% run FORM
result.FORM = FORM(...
    'stochast', stochast,...
    'x2zFunction', @(R,S) R-S);

%% run Monte Carlo
result.CMC = MC(...
    'stochast', stochast,...
    'x2zFunction', @(R,S) R-S,...
    'NrSamples', N);

%% run Directional Sampling
result.ADIS = DS(...
    'stochast', stochast,...
    'x2zFunction', @(R,S) R-S,...
    'NrSamples', N);

%% print result
prob_print_test(result);