/usr/include/trilinos/ROL_Triangle.hpp is in libtrilinos-rol-dev 12.10.1-3.
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// ************************************************************************
//
// Rapid Optimization Library (ROL) Package
// Copyright (2014) Sandia Corporation
//
// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
// license for use of this work by or on behalf of the U.S. Government.
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// met:
//
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// 2. Redistributions in binary form must reproduce the above copyright
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// documentation and/or other materials provided with the distribution.
//
// 3. Neither the name of the Corporation nor the names of the
// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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// Denis Ridzal (dridzal@sandia.gov)
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// @HEADER
#ifndef ROL_TRIANGLE_HPP
#define ROL_TRIANGLE_HPP
#include "ROL_Distribution.hpp"
#include "Teuchos_ParameterList.hpp"
namespace ROL {
template<class Real>
class Triangle : public Distribution<Real> {
private:
Real a_;
Real b_;
Real c_;
public:
Triangle(const Real a = 0., const Real b = 0.5, const Real c = 1.)
: a_(std::min(a,std::min(b,c))),
b_(std::max(std::min(a,b),std::min(std::max(a,b),c))),
c_(std::max(a,std::max(b,c))) {}
Triangle(Teuchos::ParameterList &parlist) {
Real a = parlist.sublist("SOL").sublist("Distribution").sublist("Triangle").get("Lower Bound",0.);
Real b = parlist.sublist("SOL").sublist("Distribution").sublist("Triangle").get("Peak Location",0.5);
Real c = parlist.sublist("SOL").sublist("Distribution").sublist("Triangle").get("Upper Bound",1.);
a_ = std::min(a,std::min(b,c));
b_ = std::max(std::min(a,b),std::min(std::max(a,b),c));
c_ = std::max(a,std::max(b,c));
}
Real evaluatePDF(const Real input) const {
Real d1 = b_-a_, d2 = c_-b_, d = c_-a_;
return ((input >= a_ && input < b_) ? 2.0*(input-a_)/(d*d1) :
((input >= b_ && input < c_) ? 2.0*(c_-input)/(d*d2) :
0.0));
}
Real evaluateCDF(const Real input) const {
Real d1 = b_-a_, d2 = c_-b_, d = c_-a_;
return ((input < a_) ? 0.0 :
((input >= a_ && input < b_) ?
std::pow(input-a_,2.0)/(d*d1) :
((input >= b_ && input < c_) ?
1.0-std::pow(c_-input,2.0)/(d*d2) :
1.0)));
}
Real integrateCDF(const Real input) const {
Real d1 = b_-a_, d2 = c_-b_, d = c_-a_;
return ((input < a_) ? 0.0 :
((input >= a_ && input < b_) ?
std::pow(input-a_,3.0)/(3.0*d*d1) :
((input >= b_ && input < c_) ?
d1*d1/(3.0*d)+(input-b_)+(std::pow(c_-input,3.0)-d2*d2*d2)/(3.0*d*d2) :
d1*d1/(3.0*d)+(input-b_)-d2*d2/(3.0*d))));
}
Real invertCDF(const Real input) const {
Real d1 = b_-a_, d2 = c_-b_, d = c_-a_;
return ((input <= d1/d) ? a_ + std::sqrt(input*d1*d) :
c_ - std::sqrt((1.0-input)*d2*d));
}
Real moment(const size_t m) const {
Real d1 = b_-a_, d2 = c_-b_, d = c_-a_;
Real am1 = std::pow(a_,m+1), am2 = a_*am1;
Real bm1 = std::pow(b_,m+1), bm2 = b_*bm1;
Real cm1 = std::pow(c_,m+1), cm2 = c_*cm1;
return (2./d)*(((bm2-am2)/((Real)m+2)-a_*(bm1-am1)/((Real)m+1))/d1
+(c_*(cm1-bm1)/((Real)m+1)-(cm2-bm2)/((Real)m+2))/d2);
}
Real lowerBound(void) const {
return a_;
}
Real upperBound(void) const {
return c_;
}
void test(std::ostream &outStream = std::cout ) const {
size_t size = 7;
std::vector<Real> X(size,0.);
std::vector<int> T(size,0);
X[0] = a_-4.*(Real)rand()/(Real)RAND_MAX;
T[0] = 0;
X[1] = a_;
T[1] = 1;
X[2] = (b_-a_)*(Real)rand()/(Real)RAND_MAX + a_;
T[2] = 0;
X[3] = b_;
T[3] = 1;
X[4] = (c_-b_)*(Real)rand()/(Real)RAND_MAX + b_;
T[4] = 0;
X[5] = c_;
T[5] = 1;
X[6] = c_+4.*(Real)rand()/(Real)RAND_MAX;
T[6] = 0;
Distribution<Real>::test(X,T,outStream);
}
};
}
#endif
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