/usr/include/trilinos/ROL_ScalarMinimizationTest01.hpp is in libtrilinos-rol-dev 12.10.1-3.
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// ************************************************************************
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// Rapid Optimization Library (ROL) Package
// Copyright (2014) Sandia Corporation
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#ifndef ROL_SCALARMINIMIZATIONTEST01_H
#define ROL_SCALARMINIMIZATIONTEST01_H
/** \class ROL::ScalarMinimizationTest01
\brief Implements test scalar function 01.
*/
#include "ROL_ScalarMinimizationTest.hpp"
namespace ROL {
template<class Real>
class ScalarMinimizationTest01 : public ScalarMinimizationTest<Real> {
private:
std::vector<Real> fvector_;
std::vector<Real> xvector_;
class ScalarFunctionTest01 : public ScalarFunction<Real> {
public:
Real value(const Real x) {
Real zero(0), two(2), five(5);
Real val = zero, I = zero;
for (int i = 0; i < 20; i++) {
I = (Real)(i+1);
val += std::pow((two*I - five)/(x-(I*I)),two);
}
return val;
}
Real deriv(const Real x) {
Real zero(0), two(2), three(3), five(5);
Real val = zero, I = zero;
for (int i = 0; i < 20; i++) {
I = (Real)(i+1);
val += std::pow((two*I - five),two)/std::pow((x-(I*I)),three);
}
return -two*val;
}
};
public:
ScalarMinimizationTest01(Teuchos::ParameterList &parlist)
: ScalarMinimizationTest<Real>(parlist) {
fvector_.clear(); fvector_.resize(19,0);
xvector_.clear(); xvector_.resize(19,0);
fvector_[0] = 3.6766990169; xvector_[0] = 3.0229153;
fvector_[1] = 1.1118500100; xvector_[1] = 6.6837536;
fvector_[2] = 1.2182217637; xvector_[2] = 11.2387017;
fvector_[3] = 2.1621103109; xvector_[3] = 19.6760001;
fvector_[4] = 3.0322905193; xvector_[4] = 29.8282273;
fvector_[5] = 3.7583856477; xvector_[5] = 41.9061162;
fvector_[6] = 4.3554103836; xvector_[6] = 55.9535958;
fvector_[7] = 4.8482959563; xvector_[7] = 71.9856656;
fvector_[8] = 5.2587585400; xvector_[8] = 90.0088685;
fvector_[9] = 5.6036524295; xvector_[9] = 110.0265327;
fvector_[10] = 5.8956037976; xvector_[10] = 132.0405517;
fvector_[11] = 6.1438861542; xvector_[11] = 156.0521144;
fvector_[12] = 6.3550764593; xvector_[12] = 182.0620604;
fvector_[13] = 6.5333662003; xvector_[13] = 210.0711010;
fvector_[14] = 6.6803639849; xvector_[14] = 240.0800483;
fvector_[15] = 6.7938538365; xvector_[15] = 272.0902669;
fvector_[16] = 6.8634981053; xvector_[16] = 306.1051233;
fvector_[17] = 6.8539024631; xvector_[17] = 342.1369454;
fvector_[18] = 6.6008470481; xvector_[18] = 380.2687097;
}
bool test(std::ostream &stream = std::cout) {
Real fx = 0, x = 0, A = 0, B = 0;
int nfval = 0, ngrad = 0;
bool flag = true;
Teuchos::RCP<ScalarFunction<Real> > f
= Teuchos::rcp(new ScalarFunctionTest01());
stream << "\nScalar Minimization Test 01\n";
stream << " ";
stream << std::setw(10) << std::left << "lower";
stream << std::setw(10) << std::left << "upper";
stream << std::setw(15) << std::left << "x-error";
stream << std::setw(15) << std::left << "f(x)-error";
stream << std::setw(10) << std::left << "nfval";
stream << std::setw(10) << std::left << "ngrad";
stream << "\n";
for (int i = 0; i < 19; i++) {
nfval = 0; ngrad = 0;
A = (Real)((i+1)*(i+1));
B = (Real)((i+2)*(i+2));
ScalarMinimizationTest<Real>::run(fx,x,nfval,ngrad,*f,A,B);
flag *= std::abs(x-xvector_[i]) < 10.0*std::sqrt(ROL_EPSILON<Real>())*xvector_[i];
stream << " ";
stream << std::setw(10) << std::left << (int)A;
stream << std::setw(10) << std::left << (int)B;
stream << std::scientific << std::setprecision(6);
stream << std::setw(15) << std::left << std::abs( x-xvector_[i])/xvector_[i];
stream << std::setw(15) << std::left << std::abs(fx-fvector_[i])/fvector_[i];
stream << std::setw(10) << std::left << nfval;
stream << std::setw(10) << std::left << ngrad;
stream << "\n";
}
stream << "\n";
return flag;
}
};
}
#endif
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