function result = prob_oblate_spheroid_test(varargin)
% PROB_OBLATE_SPHEROID_TEST  Oblate spheroid problem
%
%   Test and comparison routine for a oblate spheroid 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: 15 Aug 2011
% Created with Matlab version: 7.7.0.471 (R2008b)

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

MTestCategory.WorkInProgress;

%% set number of samples

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

%% define stochastic variables
% this initial stochastic variable only contains S1
stochast = struct(...
    'Name', {
    'R'... % example stochastic variable "R" (Resistance or Strength)
    'S1'... % example stochastic variable "S1" (Sollicitation or Load)
    },...
    'Distr', {
    @deterministic... % distribution function (of R)
    @norm_inv... % distribution function (of S1)
    },...
    'Params', {
    {10}... % mu and sigma (of R)
    {0 1}... % mu and sigma (of S1)
    },...
    'propertyName', {
    true... % add propertyname (of R) in z-function call
    true... % add propertyname (of S1) in z-function call
    } ...
    );

% S2 through S10 are added in this loop
for nS = 2:10
    stochast(end+1) = stochast(end);
    stochast(end).Name = sprintf('S%i', nS);
end

result = struct('Exact',{struct('Beta', 1.10,'P_f', norm_cdf(-1.10,0,1))});

% %% run FORM
% result.FORM = FORM(...
%     'stochast', stochast,...
%     'x2zFunction', @prob_oblate_spheroid_x2z_test);
% 
% %% run Monte Carlo
% result.CMC = MC(...
%     'stochast', stochast,...
%     'x2zFunction', @prob_oblate_spheroid_x2z_test,...
%     'NrSamples', N);

%% run Directional Sampling
result.ADIS = DS(...
    'stochast', stochast,...
    'x2zFunction', @prob_oblate_spheroid_x2z_test,...
    'NrSamples', N);

%% print result
prob_print_test(result);