/usr/include/trilinos/ROL_UnaryFunctions.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
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//
// 1. Redistributions of source code must retain 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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// Questions? Contact lead developers:
// Drew Kouri (dpkouri@sandia.gov) and
// Denis Ridzal (dridzal@sandia.gov)
//
// ************************************************************************
// @HEADER
#ifndef ROL_UNARYFUNCTIONS_H
#define ROL_UNARYFUNCTIONS_H
#include "ROL_Types.hpp"
#include "ROL_Elementwise_Function.hpp"
#include <cstdlib>
#include <ctime>
namespace ROL {
namespace Elementwise {
// Used to set every element in a vector to a specific value
template<class Real>
class Fill : public UnaryFunction<Real> {
public:
Fill( const Real &value ) : value_(value) {}
Real apply( const Real &x ) const {
return value_;
}
private:
Real value_;
}; // class Fill
// Used to shift every element in a vector by a specific value
template<class Real>
class Shift : public UnaryFunction<Real> {
private:
Real value_;
public:
Shift( const Real &value ) : value_(value) {}
Real apply( const Real &x ) const {
return x+value_;
}
}; // class Shift
// Get the elementwise reciprocal of a vector
template<class Real>
class Reciprocal : public UnaryFunction<Real> {
public:
Real apply( const Real &x ) const {
return static_cast<Real>(1)/x;
}
}; // class Reciprocal
// Get the elementwise absolute value of a vector
template<class Real>
class AbsoluteValue : public UnaryFunction<Real> {
public:
Real apply( const Real &x ) const {
return std::abs(x);
}
};
template<class Real>
class Sign : public Elementwise::UnaryFunction<Real> {
private:
Real zero_;
Real one_;
public:
Sign() : zero_(0), one_(1) {}
Real apply(const Real &x) const {
if(x==zero_) {
return zero_;
}
else {
return x>zero_ ? one_ : -one_;
}
}
};
// Compute the elementwise power of a vector
template<class Real>
class Power : public UnaryFunction<Real> {
private:
Real exponent_;
public:
Power( const Real &exponent ) : exponent_(exponent) {}
Real apply( const Real &x ) const {
return std::pow(x,exponent_);
}
}; // class Power
// Compute the elementwise square root of a vector
template<class Real>
class SquareRoot : public UnaryFunction<Real> {
public:
SquareRoot( void ) {}
Real apply( const Real &x ) const {
return std::sqrt(x);
}
}; // class Power
// Generate a uniformly distributed random number
// between lower and upper
template<class Real>
class UniformlyRandom : public UnaryFunction<Real> {
private:
const Real lower_;
const Real upper_;
public:
UniformlyRandom( const Real &lower = 0.0, const Real &upper = 1.0) :
lower_(lower), upper_(upper) {
}
Real apply( const Real &x ) const {
return (static_cast<Real>(rand()) / static_cast<Real>(RAND_MAX)) * (upper_-lower_) + lower_;
}
}; // class UniformlyRandom
// Returns max(x,s) where s is the given scalar
template<class Real>
class ThresholdUpper : public UnaryFunction<Real> {
private:
const Real threshold_;
public:
ThresholdUpper( const Real threshold ) :
threshold_(threshold) {}
Real apply( const Real &x ) const {
return std::max(threshold_,x);
}
};
// Returns min(x,s) where s is the given scalar
template<class Real>
class ThresholdLower : public UnaryFunction<Real> {
private:
const Real threshold_;
public:
ThresholdLower( const Real threshold ) :
threshold_(threshold) {}
Real apply( const Real &x ) const {
return std::min(threshold_,x);
}
};
template<class Real>
class Scale : public UnaryFunction<Real> {
private:
Real value_;
public:
Scale( const Real value ) : value_(value) {}
Real apply( const Real &x ) const {
return value_*x;
}
};
template<class Real>
class Logarithm : public UnaryFunction<Real> {
public:
Real apply( const Real &x ) const {
// To avoid circular dependency
Real NINF = -0.1*std::abs(Teuchos::ScalarTraits<Real>::rmax());
return (x>0) ? std::log(x) : NINF;
}
};
// Heaviside step function
template<class Real>
class Heaviside : public UnaryFunction<Real> {
public:
Real apply( const Real &x ) const {
Real value = 0;
if( x>0 ) {
value = 1.0;
} else if( x==0 ) {
value = 0.5;
} else {
value = 0.0;
}
return value;
}
};
// Evaluate g(f(x))
template<class Real>
class UnaryComposition : public UnaryFunction<Real> {
private:
Teuchos::RCP<UnaryFunction<Real> > f_;
Teuchos::RCP<UnaryFunction<Real> > g_;
public:
UnaryComposition( Teuchos::RCP<UnaryFunction<Real> > &f,
Teuchos::RCP<UnaryFunction<Real> > &g ) : f_(f), g_(g) {}
Real apply( const Real &x ) const {
return g_->apply(f_->apply(x));
}
};
} // namespace Elementwise
} // namespace ROL
#endif // ROL_UNARYFUNCTIONS_H
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