Type3SmallestValueRV.cpp

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00001 /* ****************************************************************** **
00002 **    OpenSees - Open System for Earthquake Engineering Simulation    **
00003 **          Pacific Earthquake Engineering Research Center            **
00004 **                                                                    **
00005 **                                                                    **
00006 ** (C) Copyright 2001, The Regents of the University of California    **
00007 ** All Rights Reserved.                                               **
00008 **                                                                    **
00009 ** Commercial use of this program without express permission of the   **
00010 ** University of California, Berkeley, is strictly prohibited.  See   **
00011 ** file 'COPYRIGHT'  in main directory for information on usage and   **
00012 ** redistribution,  and for a DISCLAIMER OF ALL WARRANTIES.           **
00013 **                                                                    **
00014 ** Developed by:                                                      **
00015 **   Frank McKenna (fmckenna@ce.berkeley.edu)                         **
00016 **   Gregory L. Fenves (fenves@ce.berkeley.edu)                       **
00017 **   Filip C. Filippou (filippou@ce.berkeley.edu)                     **
00018 **                                                                    **
00019 ** Reliability module developed by:                                   **
00020 **   Terje Haukaas (haukaas@ce.berkeley.edu)                          **
00021 **   Armen Der Kiureghian (adk@ce.berkeley.edu)                       **
00022 **                                                                    **
00023 ** ****************************************************************** */
00024                                                                         
00025 // $Revision: 1.6 $
00026 // $Date: 2003/03/04 00:44:37 $
00027 // $Source: /usr/local/cvs/OpenSees/SRC/reliability/domain/distributions/Type3SmallestValueRV.cpp,v $
00028 
00029 
00030 //
00031 // Written by Terje Haukaas (haukaas@ce.berkeley.edu)
00032 //
00033 
00034 #include <Type3SmallestValueRV.h>
00035 #include <GammaRV.h>
00036 #include <math.h>
00037 #include <string.h>
00038 #include <classTags.h>
00039 #include <OPS_Globals.h>
00040 
00041 Type3SmallestValueRV::Type3SmallestValueRV(int passedTag, 
00042                  double passedMean,
00043                  double passedStdv,
00044                  double passedStartValue)
00045 :RandomVariable(passedTag, RANDOM_VARIABLE_type3smallestvalue)
00046 {
00047         // Note: this constructor is void.
00048         opserr << "WARNING: This type of random variable is not uniquely defined by mean and stdv." << endln;
00049 }
00050 Type3SmallestValueRV::Type3SmallestValueRV(int passedTag, 
00051                  double passedParameter1,
00052                  double passedParameter2,
00053                  double passedParameter3,
00054                  double passedParameter4,
00055                  double passedStartValue)
00056 :RandomVariable(passedTag, RANDOM_VARIABLE_type3smallestvalue)
00057 {
00058         tag = passedTag ;
00059         epsilon = passedParameter1;
00060         u = passedParameter2;
00061         k = passedParameter3;
00062         startValue = passedStartValue;
00063 }
00064 Type3SmallestValueRV::Type3SmallestValueRV(int passedTag, 
00065                  double passedMean,
00066                  double passedStdv)
00067 :RandomVariable(passedTag, RANDOM_VARIABLE_type3smallestvalue)
00068 {
00069         // Note: this constructor is void.
00070         opserr << "WARNING: This type of random variable is not uniquely defined by mean and stdv." << endln;
00071 }
00072 Type3SmallestValueRV::Type3SmallestValueRV(int passedTag, 
00073                  double passedParameter1,
00074                  double passedParameter2,
00075                  double passedParameter3,
00076                  double passedParameter4)
00077 :RandomVariable(passedTag, RANDOM_VARIABLE_type3smallestvalue)
00078 {
00079         tag = passedTag ;
00080         epsilon = passedParameter1;
00081         u = passedParameter2;
00082         k = passedParameter3;
00083         startValue = getMean();
00084 }
00085 
00086 
00087 Type3SmallestValueRV::~Type3SmallestValueRV()
00088 {
00089 }
00090 
00091 
00092 void
00093 Type3SmallestValueRV::Print(OPS_Stream &s, int flag)
00094 {
00095 }
00096 
00097 
00098 double
00099 Type3SmallestValueRV::getPDFvalue(double rvValue)
00100 {
00101         double result;
00102         if ( epsilon < rvValue ) {
00103                 result = k/(u-epsilon) * pow(((rvValue-epsilon)/(u-epsilon)),k-1) * exp(-pow(((rvValue-epsilon)/(u-epsilon)),k));
00104         }
00105         else {
00106                 result = 0.0;
00107         }
00108         return result;
00109 }
00110 
00111 
00112 double
00113 Type3SmallestValueRV::getCDFvalue(double rvValue)
00114 {
00115         double result;
00116         if ( epsilon < rvValue ) {
00117                 result = 1 - exp(-pow(((rvValue-epsilon)/(u-epsilon)),k));
00118         }
00119         else {
00120                 result = 0.0;
00121         }
00122         return result;
00123 }
00124 
00125 
00126 double
00127 Type3SmallestValueRV::getInverseCDFvalue(double probValue)
00128 {
00129         return (u-epsilon) * ( epsilon/(u-epsilon) + pow((-log(1-probValue)),(1/k)) );
00130 }
00131 
00132 
00133 const char *
00134 Type3SmallestValueRV::getType()
00135 {
00136         return "TYPE3SMALLESTVALUE";
00137 }
00138 
00139 
00140 double 
00141 Type3SmallestValueRV::getMean()
00142 {
00143         double result;
00144         GammaRV *aGammaRV = new GammaRV(1, 0.0, 1.0, 0.0);
00145         result = epsilon + (u-epsilon) * aGammaRV->gammaFunction(1.0+1.0/k);
00146         delete aGammaRV;
00147         return result;
00148 }
00149 
00150 
00151 
00152 double 
00153 Type3SmallestValueRV::getStdv()
00154 {
00155         GammaRV *aGammaRV = new GammaRV(1, 0.0, 1.0, 0.0);
00156         double a = aGammaRV->gammaFunction(1.0+2.0/k);
00157         double b = aGammaRV->gammaFunction(1.0+1.0/k);
00158         delete aGammaRV;
00159         return (u-epsilon) * sqrt(a-b*b);
00160 }
00161 
00162 
00163 double 
00164 Type3SmallestValueRV::getStartValue()
00165 {
00166         return startValue;
00167 }
00168 
00169 
00170 double Type3SmallestValueRV::getParameter1()  {return epsilon;}
00171 double Type3SmallestValueRV::getParameter2()  {return u;}
00172 double Type3SmallestValueRV::getParameter3()  {return k;}
00173 double Type3SmallestValueRV::getParameter4()  {opserr<<"No such parameter in r.v. #"<<tag<<endln; return 0.0;}
00174 
00175 

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