Doxygen 1.9.8
Toolkit for Adaptive Stochastic Modeling and Non-Intrusive ApproximatioN: Tasmanian v8.2
 
Loading...
Searching...
No Matches
tsgDreamCorePDF.hpp
Go to the documentation of this file.
1/*
2 * Copyright (c) 2017, Miroslav Stoyanov
3 *
4 * This file is part of
5 * Toolkit for Adaptive Stochastic Modeling And Non-Intrusive ApproximatioN: TASMANIAN
6 *
7 * Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
8 *
9 * 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
10 *
11 * 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions
12 * and the following disclaimer in the documentation and/or other materials provided with the distribution.
13 *
14 * 3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse
15 * or promote products derived from this software without specific prior written permission.
16 *
17 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES,
18 * INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
19 * IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY,
20 * OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA,
21 * OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
22 * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
23 *
24 * UT-BATTELLE, LLC AND THE UNITED STATES GOVERNMENT MAKE NO REPRESENTATIONS AND DISCLAIM ALL WARRANTIES, BOTH EXPRESSED AND IMPLIED.
25 * THERE ARE NO EXPRESS OR IMPLIED WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE, OR THAT THE USE OF THE SOFTWARE WILL NOT INFRINGE ANY PATENT,
26 * COPYRIGHT, TRADEMARK, OR OTHER PROPRIETARY RIGHTS, OR THAT THE SOFTWARE WILL ACCOMPLISH THE INTENDED RESULTS OR THAT THE SOFTWARE OR ITS USE WILL NOT RESULT IN INJURY OR DAMAGE.
27 * THE USER ASSUMES RESPONSIBILITY FOR ALL LIABILITIES, PENALTIES, FINES, CLAIMS, CAUSES OF ACTION, AND COSTS AND EXPENSES, CAUSED BY, RESULTING FROM OR ARISING OUT OF,
28 * IN WHOLE OR IN PART THE USE, STORAGE OR DISPOSAL OF THE SOFTWARE.
29 */
30
31#ifndef __TASMANIAN_DREAM_CORE_PDF_HPP
32#define __TASMANIAN_DREAM_CORE_PDF_HPP
33
44
45namespace TasDREAM{
46
49
84template<TypeDistribution distribution, TypeSamplingForm form = regform, typename... Params>
85double getDensity(double x, Params... params){
86 std::vector<typename std::tuple_element<0, std::tuple<Params...>>::type> ParameterArray = {params...};
87 if (form == regform){
88 if (distribution == dist_gaussian){
89 return std::exp(-0.5 * (x - ParameterArray[0]) * (x - ParameterArray[0]) / ParameterArray[1]);
90 }else if (distribution == dist_exponential){
91 return std::exp(-ParameterArray[1] * (x - ParameterArray[0]));
92 }else if (distribution == dist_beta){
93 return std::pow(x - ParameterArray[0], ParameterArray[2] - 1.0) * std::pow(ParameterArray[1] - x, ParameterArray[3] - 1.0);
94 }else if (distribution == dist_gamma){
95 return std::pow(x - ParameterArray[0], ParameterArray[1] - 1.0) * std::exp(- ParameterArray[2] * (x - ParameterArray[0]));
96 }else{ // uniform
97 return 1.0;
98 }
99 }else{
100 if (distribution == dist_gaussian){
101 return -0.5 * (x - ParameterArray[0]) * (x - ParameterArray[0]) / ParameterArray[1];
102 }else if (distribution == dist_exponential){
103 return -ParameterArray[1] * (x - ParameterArray[0]);
104 }else if (distribution == dist_beta){
105 return std::log(x - ParameterArray[0]) * (ParameterArray[2] - 1.0) + std::log(ParameterArray[1] - x) * (ParameterArray[3] - 1.0);
106 }else if (distribution == dist_gamma){
107 return std::log(x - ParameterArray[0]) * (ParameterArray[1] - 1.0) - ParameterArray[2] * (x - ParameterArray[0]);
108 }else{ // uniform
109 return 0.0;
110 }
111 }
112}
113
114}
115
116
117#endif
TypeDistribution
Indicates a specific probability distribution for the associated function.
Definition tsgDreamEnumerates.hpp:102
TypeSamplingForm
Describes whether sampling should be done with the regular or logarithm form of the probability densi...
Definition tsgDreamEnumerates.hpp:90
@ dist_gaussian
Gaussian or Normal distribution defined by mean and variance.
Definition tsgDreamEnumerates.hpp:107
@ dist_exponential
Exponential distribution (i.e., special case of the Gamma distribution).
Definition tsgDreamEnumerates.hpp:110
@ dist_beta
Beta distribution, corresponds to Gauss-Jacobi sparse grid rule TasGrid::rule_gaussjacobi.
Definition tsgDreamEnumerates.hpp:113
@ dist_gamma
Gamma distribution, corresponds to Gauss-Laguerre sparse grid rule TasGrid::rule_gausslaguerre.
Definition tsgDreamEnumerates.hpp:116
@ regform
Use the standard form for the probability density.
Definition tsgDreamEnumerates.hpp:92
double getDensity(double x, Params... params)
Returns the unscaled probability density of distribution (defined by params) at the point x.
Definition tsgDreamCorePDF.hpp:85
Encapsulates the Tasmanian DREAM module.
Definition TasmanianDREAM.hpp:80
The enumerated types used in the DREAM module.