630 lines
19 KiB
C++
630 lines
19 KiB
C++
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// @HEADER
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// ***********************************************************************
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//
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// Sacado Package
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// Copyright (2006) Sandia Corporation
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//
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// Under the terms of Contract DE-AC04-94AL85000 with Sandia Corporation,
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// the U.S. Government retains certain rights in this software.
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//
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// This library is free software; you can redistribute it and/or modify
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// it under the terms of the GNU Lesser General Public License as
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// published by the Free Software Foundation; either version 2.1 of the
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// License, or (at your option) any later version.
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//
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// This library is distributed in the hope that it will be useful, but
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// WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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// Lesser General Public License for more details.
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//
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// You should have received a copy of the GNU Lesser General Public
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// License along with this library; if not, write to the Free Software
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// Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301
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// USA
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// Questions? Contact David M. Gay (dmgay@sandia.gov) or Eric T. Phipps
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// (etphipp@sandia.gov).
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//
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// ***********************************************************************
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//
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// The forward-mode AD classes in Sacado are a derivative work of the
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// expression template classes in the Fad package by Nicolas Di Cesare.
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// The following banner is included in the original Fad source code:
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//
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// ************ DO NOT REMOVE THIS BANNER ****************
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//
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// Nicolas Di Cesare <Nicolas.Dicesare@ann.jussieu.fr>
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// http://www.ann.jussieu.fr/~dicesare
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//
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// CEMRACS 98 : C++ courses,
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// templates : new C++ techniques
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// for scientific computing
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//
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//********************************************************
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//
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// A short implementation ( not all operators and
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// functions are overloaded ) of 1st order Automatic
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// Differentiation in forward mode (FAD) using
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// EXPRESSION TEMPLATES.
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//
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//********************************************************
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// @HEADER
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#ifndef SACADO_CACHEFAD_GENERALFAD_HPP
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#define SACADO_CACHEFAD_GENERALFAD_HPP
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#include "Sacado_CacheFad_Expression.hpp"
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namespace Sacado {
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//! Namespace for forward-mode AD classes w/caching
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namespace CacheFad {
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//! Forward-mode AD class templated on the storage for the derivative array
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/*!
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* This class provides a general forward mode AD implementation for any
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* type of derivative array storage. It does not incorporate expression
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* templates.
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*
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* This version of GeneralFad is virtually identical to
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* Sacado::Fad::GeneralFad, with small differences in the implementations
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* of some of the methods to support caching of "values" of intermediate
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* operations in an expression, recognizing that the "this" object might
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* also be on the right-hand-side of an expression.
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*/
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template <typename T, typename Storage>
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class GeneralFad : public Storage {
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public:
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//! Typename of values
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typedef typename RemoveConst<T>::type value_type;
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//! Typename of scalar's (which may be different from T)
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typedef typename ScalarType<value_type>::type scalar_type;
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/*!
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* @name Initialization methods
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*/
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//@{
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//! Default constructor
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SACADO_INLINE_FUNCTION
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GeneralFad() : Storage(T(0.)) {}
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//! Constructor with supplied value \c x
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/*!
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* Initializes value to \c x and derivative array is empty
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*/
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template <typename S>
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SACADO_INLINE_FUNCTION
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GeneralFad(const S& x, SACADO_ENABLE_VALUE_CTOR_DECL) :
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Storage(x) {}
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//! Constructor with size \c sz and value \c x
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/*!
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* Initializes value to \c x and derivative array 0 of length \c sz
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*/
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SACADO_INLINE_FUNCTION
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GeneralFad(const int sz, const T & x, const DerivInit zero_out = InitDerivArray) :
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Storage(sz, x, zero_out) {}
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//! Constructor with size \c sz, index \c i, and value \c x
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/*!
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* Initializes value to \c x and derivative array of length \c sz
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* as row \c i of the identity matrix, i.e., sets derivative component
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* \c i to 1 and all other's to zero.
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*/
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SACADO_INLINE_FUNCTION
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GeneralFad(const int sz, const int i, const T & x) :
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Storage(sz, x, InitDerivArray) {
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this->fastAccessDx(i)=1.;
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}
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//! Constructor with supplied storage \c s
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SACADO_INLINE_FUNCTION
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GeneralFad(const Storage& s) : Storage(s) {}
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//! Copy constructor
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SACADO_INLINE_FUNCTION
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GeneralFad(const GeneralFad& x) :
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Storage(x) {}
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//! Copy constructor from any Expression object
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template <typename S>
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SACADO_INLINE_FUNCTION
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GeneralFad(const Expr<S>& x, SACADO_ENABLE_EXPR_CTOR_DECL) :
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Storage(x.size(), T(0.), NoInitDerivArray) {
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x.cache();
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const int sz = x.size();
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this->val() = x.val();
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if (sz) {
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if (x.hasFastAccess())
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for(int i=0; i<sz; ++i)
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this->fastAccessDx(i) = x.fastAccessDx(i);
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else
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for(int i=0; i<sz; ++i)
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this->fastAccessDx(i) = x.dx(i);
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}
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}
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//! Destructor
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SACADO_INLINE_FUNCTION
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~GeneralFad() {}
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//! Set %GeneralFad object as the \c ith independent variable
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/*!
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* Sets the derivative array of length \c n to the \c ith row of the
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* identity matrix and has the same affect as the
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* Implementation(const int sz, const int i, const T & x)
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* constructor.
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*/
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SACADO_INLINE_FUNCTION
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void diff(const int ith, const int n) {
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if (this->size() != n)
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this->resize(n);
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this->zero();
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this->fastAccessDx(ith) = T(1.);
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}
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//! Set whether this Fad object should update values
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SACADO_INLINE_FUNCTION
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void setUpdateValue(bool update_val) { }
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//! Return whether this Fad object has an updated value
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SACADO_INLINE_FUNCTION
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bool updateValue() const { return true; }
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//! Cache values
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SACADO_INLINE_FUNCTION
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void cache() const {}
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//! Returns whether two Fad objects have the same values
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template <typename S>
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SACADO_INLINE_FUNCTION
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SACADO_ENABLE_EXPR_FUNC(bool) isEqualTo(const Expr<S>& x) const {
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typedef IsEqual<value_type> IE;
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if (x.size() != this->size()) return false;
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bool eq = IE::eval(x.val(), this->val());
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for (int i=0; i<this->size(); i++)
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eq = eq && IE::eval(x.dx(i), this->dx(i));
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return eq;
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}
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//@}
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/*!
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* @name Derivative accessor methods
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*/
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//@{
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/*!
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* \brief Returns number of derivative components that can be stored
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* without reallocation
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*/
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SACADO_INLINE_FUNCTION
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int availableSize() const { return this->length(); }
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//! Returns true if derivative array is not empty
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SACADO_INLINE_FUNCTION
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bool hasFastAccess() const { return this->size()!=0;}
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//! Returns true if derivative array is empty
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SACADO_INLINE_FUNCTION
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bool isPassive() const { return this->size()==0;}
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//! Set whether variable is constant
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SACADO_INLINE_FUNCTION
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void setIsConstant(bool is_const) {
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if (is_const && this->size()!=0)
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this->resize(0);
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}
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//@}
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/*!
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* @name Assignment operators
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*/
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//@{
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//! Assignment operator with constant right-hand-side
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template <typename S>
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SACADO_INLINE_FUNCTION
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SACADO_ENABLE_VALUE_FUNC(GeneralFad&) operator=(const S& v) {
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this->val() = v;
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if (this->size()) this->resize(0);
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return *this;
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}
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//! Assignment with Expr right-hand-side
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SACADO_INLINE_FUNCTION
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GeneralFad&
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operator=(const GeneralFad& x) {
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// Copy val_ and dx_
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Storage::operator=(x);
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return *this;
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}
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//! Assignment operator with any expression right-hand-side
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template <typename S>
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SACADO_INLINE_FUNCTION
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SACADO_ENABLE_EXPR_FUNC(GeneralFad&) operator=(const Expr<S>& x) {
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x.cache();
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const int xsz = x.size();
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if (xsz != this->size())
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this->resizeAndZero(xsz);
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const int sz = this->size();
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// For ViewStorage, the resize above may not in fact resize the
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// derivative array, so it is possible that sz != xsz at this point.
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// The only valid use case here is sz > xsz == 0, so we use sz in the
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// assignment below
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if (sz) {
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if (x.hasFastAccess())
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for(int i=0; i<sz; ++i)
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this->fastAccessDx(i) = x.fastAccessDx(i);
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else
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for(int i=0; i<sz; ++i)
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this->fastAccessDx(i) = x.dx(i);
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}
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this->val() = x.val();
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return *this;
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}
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//@}
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/*!
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* @name Unary operators
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*/
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//@{
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//! Addition-assignment operator with constant right-hand-side
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template <typename S>
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SACADO_INLINE_FUNCTION
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SACADO_ENABLE_VALUE_FUNC(GeneralFad&) operator += (const S& v) {
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this->val() += v;
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return *this;
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}
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//! Subtraction-assignment operator with constant right-hand-side
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template <typename S>
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SACADO_INLINE_FUNCTION
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SACADO_ENABLE_VALUE_FUNC(GeneralFad&) operator -= (const S& v) {
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this->val() -= v;
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return *this;
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}
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//! Multiplication-assignment operator with constant right-hand-side
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template <typename S>
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SACADO_INLINE_FUNCTION
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SACADO_ENABLE_VALUE_FUNC(GeneralFad&) operator *= (const S& v) {
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const int sz = this->size();
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this->val() *= v;
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for (int i=0; i<sz; ++i)
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this->fastAccessDx(i) *= v;
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return *this;
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}
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//! Division-assignment operator with constant right-hand-side
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template <typename S>
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SACADO_INLINE_FUNCTION
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SACADO_ENABLE_VALUE_FUNC(GeneralFad&) operator /= (const S& v) {
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const int sz = this->size();
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this->val() /= v;
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for (int i=0; i<sz; ++i)
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this->fastAccessDx(i) /= v;
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return *this;
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}
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//! Addition-assignment operator with GeneralFad right-hand-side
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SACADO_INLINE_FUNCTION
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GeneralFad& operator += (const GeneralFad& x) {
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const int xsz = x.size(), sz = this->size();
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#if defined(SACADO_DEBUG) && !defined(__CUDA_ARCH__ )
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if ((xsz != sz) && (xsz != 0) && (sz != 0))
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throw "Fad Error: Attempt to assign with incompatible sizes";
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#endif
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if (xsz) {
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if (sz) {
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for (int i=0; i<sz; ++i)
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this->fastAccessDx(i) += x.fastAccessDx(i);
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}
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else {
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this->resizeAndZero(xsz);
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for (int i=0; i<xsz; ++i)
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this->fastAccessDx(i) = x.fastAccessDx(i);
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}
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}
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this->val() += x.val();
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return *this;
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}
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//! Subtraction-assignment operator with GeneralFad right-hand-side
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SACADO_INLINE_FUNCTION
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GeneralFad& operator -= (const GeneralFad& x) {
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const int xsz = x.size(), sz = this->size();
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#if defined(SACADO_DEBUG) && !defined(__CUDA_ARCH__ )
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if ((xsz != sz) && (xsz != 0) && (sz != 0))
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throw "Fad Error: Attempt to assign with incompatible sizes";
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#endif
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if (xsz) {
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if (sz) {
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for(int i=0; i<sz; ++i)
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this->fastAccessDx(i) -= x.fastAccessDx(i);
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}
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else {
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this->resizeAndZero(xsz);
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for(int i=0; i<xsz; ++i)
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this->fastAccessDx(i) = -x.fastAccessDx(i);
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}
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}
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this->val() -= x.val();
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return *this;
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}
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//! Multiplication-assignment operator with GeneralFad right-hand-side
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SACADO_INLINE_FUNCTION
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GeneralFad& operator *= (const GeneralFad& x) {
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const int xsz = x.size(), sz = this->size();
|
||
|
|
T xval = x.val();
|
||
|
|
T v = this->val();
|
||
|
|
|
||
|
|
#if defined(SACADO_DEBUG) && !defined(__CUDA_ARCH__ )
|
||
|
|
if ((xsz != sz) && (xsz != 0) && (sz != 0))
|
||
|
|
throw "Fad Error: Attempt to assign with incompatible sizes";
|
||
|
|
#endif
|
||
|
|
|
||
|
|
if (xsz) {
|
||
|
|
if (sz) {
|
||
|
|
for(int i=0; i<sz; ++i)
|
||
|
|
this->fastAccessDx(i) = v*x.fastAccessDx(i) + this->fastAccessDx(i)*xval;
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
this->resizeAndZero(xsz);
|
||
|
|
for(int i=0; i<xsz; ++i)
|
||
|
|
this->fastAccessDx(i) = v*x.fastAccessDx(i);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
if (sz) {
|
||
|
|
for (int i=0; i<sz; ++i)
|
||
|
|
this->fastAccessDx(i) *= xval;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
this->val() *= xval;
|
||
|
|
|
||
|
|
return *this;
|
||
|
|
}
|
||
|
|
|
||
|
|
//! Division-assignment operator with GeneralFad right-hand-side
|
||
|
|
SACADO_INLINE_FUNCTION
|
||
|
|
GeneralFad& operator /= (const GeneralFad& x) {
|
||
|
|
const int xsz = x.size(), sz = this->size();
|
||
|
|
T xval = x.val();
|
||
|
|
T v = this->val();
|
||
|
|
|
||
|
|
#if defined(SACADO_DEBUG) && !defined(__CUDA_ARCH__ )
|
||
|
|
if ((xsz != sz) && (xsz != 0) && (sz != 0))
|
||
|
|
throw "Fad Error: Attempt to assign with incompatible sizes";
|
||
|
|
#endif
|
||
|
|
|
||
|
|
if (xsz) {
|
||
|
|
if (sz) {
|
||
|
|
for(int i=0; i<sz; ++i)
|
||
|
|
this->fastAccessDx(i) =
|
||
|
|
( this->fastAccessDx(i)*xval - v*x.fastAccessDx(i) )/ (xval*xval);
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
this->resizeAndZero(xsz);
|
||
|
|
for(int i=0; i<xsz; ++i)
|
||
|
|
this->fastAccessDx(i) = - v*x.fastAccessDx(i) / (xval*xval);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
if (sz) {
|
||
|
|
for (int i=0; i<sz; ++i)
|
||
|
|
this->fastAccessDx(i) /= xval;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
this->val() /= xval;
|
||
|
|
|
||
|
|
return *this;
|
||
|
|
}
|
||
|
|
|
||
|
|
//! Addition-assignment operator with Expr right-hand-side
|
||
|
|
template <typename S>
|
||
|
|
SACADO_INLINE_FUNCTION
|
||
|
|
SACADO_ENABLE_EXPR_FUNC(GeneralFad&) operator += (const Expr<S>& x) {
|
||
|
|
x.cache();
|
||
|
|
|
||
|
|
const int xsz = x.size(), sz = this->size();
|
||
|
|
|
||
|
|
#if defined(SACADO_DEBUG) && !defined(__CUDA_ARCH__ )
|
||
|
|
if ((xsz != sz) && (xsz != 0) && (sz != 0))
|
||
|
|
throw "Fad Error: Attempt to assign with incompatible sizes";
|
||
|
|
#endif
|
||
|
|
|
||
|
|
if (xsz) {
|
||
|
|
if (sz) {
|
||
|
|
if (x.hasFastAccess())
|
||
|
|
for (int i=0; i<sz; ++i)
|
||
|
|
this->fastAccessDx(i) += x.fastAccessDx(i);
|
||
|
|
else
|
||
|
|
for (int i=0; i<sz; ++i)
|
||
|
|
this->fastAccessDx(i) += x.dx(i);
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
this->resizeAndZero(xsz);
|
||
|
|
if (x.hasFastAccess())
|
||
|
|
for (int i=0; i<xsz; ++i)
|
||
|
|
this->fastAccessDx(i) = x.fastAccessDx(i);
|
||
|
|
else
|
||
|
|
for (int i=0; i<xsz; ++i)
|
||
|
|
this->fastAccessDx(i) = x.dx(i);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
this->val() += x.val();
|
||
|
|
|
||
|
|
return *this;
|
||
|
|
}
|
||
|
|
|
||
|
|
//! Subtraction-assignment operator with Expr right-hand-side
|
||
|
|
template <typename S>
|
||
|
|
SACADO_INLINE_FUNCTION
|
||
|
|
SACADO_ENABLE_EXPR_FUNC(GeneralFad&) operator -= (const Expr<S>& x) {
|
||
|
|
x.cache();
|
||
|
|
|
||
|
|
const int xsz = x.size(), sz = this->size();
|
||
|
|
|
||
|
|
#if defined(SACADO_DEBUG) && !defined(__CUDA_ARCH__ )
|
||
|
|
if ((xsz != sz) && (xsz != 0) && (sz != 0))
|
||
|
|
throw "Fad Error: Attempt to assign with incompatible sizes";
|
||
|
|
#endif
|
||
|
|
|
||
|
|
if (xsz) {
|
||
|
|
if (sz) {
|
||
|
|
if (x.hasFastAccess())
|
||
|
|
for(int i=0; i<sz; ++i)
|
||
|
|
this->fastAccessDx(i) -= x.fastAccessDx(i);
|
||
|
|
else
|
||
|
|
for (int i=0; i<sz; ++i)
|
||
|
|
this->fastAccessDx(i) -= x.dx(i);
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
this->resizeAndZero(xsz);
|
||
|
|
if (x.hasFastAccess())
|
||
|
|
for(int i=0; i<xsz; ++i)
|
||
|
|
this->fastAccessDx(i) = -x.fastAccessDx(i);
|
||
|
|
else
|
||
|
|
for (int i=0; i<xsz; ++i)
|
||
|
|
this->fastAccessDx(i) = -x.dx(i);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
this->val() -= x.val();
|
||
|
|
|
||
|
|
|
||
|
|
return *this;
|
||
|
|
}
|
||
|
|
|
||
|
|
//! Multiplication-assignment operator with Expr right-hand-side
|
||
|
|
template <typename S>
|
||
|
|
SACADO_INLINE_FUNCTION
|
||
|
|
SACADO_ENABLE_EXPR_FUNC(GeneralFad&) operator *= (const Expr<S>& x) {
|
||
|
|
x.cache();
|
||
|
|
|
||
|
|
const int xsz = x.size(), sz = this->size();
|
||
|
|
T xval = x.val();
|
||
|
|
|
||
|
|
#if defined(SACADO_DEBUG) && !defined(__CUDA_ARCH__ )
|
||
|
|
if ((xsz != sz) && (xsz != 0) && (sz != 0))
|
||
|
|
throw "Fad Error: Attempt to assign with incompatible sizes";
|
||
|
|
#endif
|
||
|
|
|
||
|
|
if (xsz) {
|
||
|
|
if (sz) {
|
||
|
|
if (x.hasFastAccess())
|
||
|
|
for(int i=0; i<sz; ++i)
|
||
|
|
this->fastAccessDx(i) = this->val() * x.fastAccessDx(i) + this->fastAccessDx(i) * xval;
|
||
|
|
else
|
||
|
|
for (int i=0; i<sz; ++i)
|
||
|
|
this->fastAccessDx(i) = this->val() * x.dx(i) + this->fastAccessDx(i) * xval;
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
this->resizeAndZero(xsz);
|
||
|
|
if (x.hasFastAccess())
|
||
|
|
for(int i=0; i<xsz; ++i)
|
||
|
|
this->fastAccessDx(i) = this->val() * x.fastAccessDx(i);
|
||
|
|
else
|
||
|
|
for (int i=0; i<xsz; ++i)
|
||
|
|
this->fastAccessDx(i) = this->val() * x.dx(i);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
if (sz) {
|
||
|
|
for (int i=0; i<sz; ++i)
|
||
|
|
this->fastAccessDx(i) *= xval;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
this->val() *= xval;
|
||
|
|
|
||
|
|
return *this;
|
||
|
|
}
|
||
|
|
|
||
|
|
//! Division-assignment operator with Expr right-hand-side
|
||
|
|
template <typename S>
|
||
|
|
SACADO_INLINE_FUNCTION
|
||
|
|
SACADO_ENABLE_EXPR_FUNC(GeneralFad&) operator /= (const Expr<S>& x) {
|
||
|
|
x.cache();
|
||
|
|
|
||
|
|
const int xsz = x.size(), sz = this->size();
|
||
|
|
T xval = x.val();
|
||
|
|
|
||
|
|
#if defined(SACADO_DEBUG) && !defined(__CUDA_ARCH__ )
|
||
|
|
if ((xsz != sz) && (xsz != 0) && (sz != 0))
|
||
|
|
throw "Fad Error: Attempt to assign with incompatible sizes";
|
||
|
|
#endif
|
||
|
|
|
||
|
|
if (xsz) {
|
||
|
|
if (sz) {
|
||
|
|
if (x.hasFastAccess())
|
||
|
|
for(int i=0; i<sz; ++i)
|
||
|
|
this->fastAccessDx(i) = ( this->fastAccessDx(i)*xval - this->val()*x.fastAccessDx(i) )/ (xval*xval);
|
||
|
|
else
|
||
|
|
for (int i=0; i<sz; ++i)
|
||
|
|
this->fastAccessDx(i) = ( this->fastAccessDx(i)*xval - this->val()*x.dx(i) )/ (xval*xval);
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
this->resizeAndZero(xsz);
|
||
|
|
if (x.hasFastAccess())
|
||
|
|
for(int i=0; i<xsz; ++i)
|
||
|
|
this->fastAccessDx(i) = - this->val()*x.fastAccessDx(i) / (xval*xval);
|
||
|
|
else
|
||
|
|
for (int i=0; i<xsz; ++i)
|
||
|
|
this->fastAccessDx(i) = -this->val() * x.dx(i) / (xval*xval);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
if (sz) {
|
||
|
|
for (int i=0; i<sz; ++i)
|
||
|
|
this->fastAccessDx(i) /= xval;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
this->val() /= xval;
|
||
|
|
|
||
|
|
return *this;
|
||
|
|
}
|
||
|
|
|
||
|
|
//@}
|
||
|
|
|
||
|
|
}; // class GeneralFad
|
||
|
|
|
||
|
|
} // namespace CacheFad
|
||
|
|
|
||
|
|
} // namespace Sacado
|
||
|
|
|
||
|
|
#endif // SACADO_CACHEFAD_GENERALFAD_HPP
|