EvaluationCubicRoot.hpp

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/*
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   Copyright (C) 2004, 2005, 2007 EPFL, Politecnico di Milano, INRIA
   Copyright (C) 2010 EPFL, Politecnico di Milano, Emory UNiversity

   This file is part of the LifeV library

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   it under the terms of the GNU Lesser General Public License as published by
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   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
   Lesser General Public License for more details.

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   License along with this library; if not, see <http://www.gnu.org/licenses/>


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//@HEADER

/*!
 *   @file
     @brief This file contains the definition of the EvaluationAddition class.

     @date 06/2011
     @author Samuel Quinodoz <samuel.quinodoz@epfl.ch>
 */

#ifndef EVALUTATION_CUBICROOT_HPP
#define EVALUTATION_CUBICROOT_HPP

#include <lifev/core/LifeV.hpp>
#include <cmath>
#include <lifev/eta/array/OperationSmallCubicRoot.hpp>

#include <lifev/eta/expression/ExpressionCubicRoot.hpp>

#include <lifev/core/fem/QuadratureRule.hpp>

namespace LifeV
{

namespace ExpressionAssembly
{

//! Evaluation for the product of two other Evaluations
/*!
  @author Samuel Quinodoz <samuel.quinodoz@epfl.ch>

  This class aims at representing a product operation during the assembly

  This class is an Evaluation class, and therefore, has all the methods
  required to work within the Evaluation trees.
 */
template <typename EvaluationBaseType>
class EvaluationCubicRoot
{
public:

    //! @name Public Types
    //@{

    //! Type of the value returned by the left operand
    typedef typename EvaluationBaseType::return_Type BaseReturn_Type;


    //! Type of the value returned by this class
    typedef typename OperationSmallCubicRoot<BaseReturn_Type>::result_Type return_Type;
    //@}


    //! @name Static constants
    //@{

    //! Flag for the global current FE
    const static flag_Type S_globalUpdateFlag;

    //! Flag for the test current FE
    const static flag_Type S_testUpdateFlag;

    //! Flag for the solution current FE
    const static flag_Type S_solutionUpdateFlag;

    //@}


    //! @name Constructors, destructor
    //@{

    //! Copy constructor
    EvaluationCubicRoot (const EvaluationCubicRoot& eval)
        : M_evaluationBase (eval.M_evaluationBase)
    {}

    //! Constructor from the corresponding expression
    template <typename BaseExpressionType>
    explicit EvaluationCubicRoot (const ExpressionCubicRoot<BaseExpressionType>& expression)
        : M_evaluationBase (expression.base() )
    {}

    //! Destructor
    ~EvaluationCubicRoot() {}

    //@}


    //! @name Methods
    //@{

    //! Internal update method
    void update (const UInt& iElement)
    {
        M_evaluationBase.update (iElement);
    }

    //! Display method
    static void display (std::ostream& out = std::cout )
    {
        out << " cbrt( " ;
        EvaluationBaseType::display (out);
        out << ")";
    }

    //@}


    //! @name Set Methods
    //@{

    //! Setter for the global current FE
    template< typename CFEType >
    void setGlobalCFE (const CFEType* globalCFE)
    {
        M_evaluationBase.setGlobalCFE (globalCFE);
    }

    //! Setter for the test current FE
    template< typename CFEType >
    void setTestCFE (const CFEType* testCFE)
    {
        M_evaluationBase.setTestCFE (testCFE);
    }

    //! Setter for the solution current FE
    template< typename CFEType >
    void setSolutionCFE (const CFEType* solutionCFE)
    {
        M_evaluationBase.setSolutionCFE (solutionCFE);
    }

    //! Setter for the quadrature rule
    void setQuadrature (const QuadratureRule& qr)
    {
        M_evaluationBase.setQuadrature (qr);
    }

    //@}


    //! @name Get Methods
    //@{

    //! Getter a value
    return_Type value_q (const UInt& q) const
    {
        return cbrt (M_evaluationBase.value_q (q));
    }

    //! Getter for the value for a vector
    return_Type value_qi (const UInt& q, const UInt& i) const
    {
        return cbrt (M_evaluationBase.value_qi (q, i));
    }

    //! Getter for the value for a matrix
    return_Type value_qij (const UInt& q, const UInt& i, const UInt& j) const
    {
        return cbrt (M_evaluationBase.value_qij (q, i, j) );
    }

    //@}

private:

    //! @name Private Methods
    //@{

    //! No empty constructor
    EvaluationCubicRoot();

    //@}

    //! Internal storage
    EvaluationBaseType M_evaluationBase;
};

template< typename EvaluationBaseType>
const flag_Type EvaluationCubicRoot<EvaluationBaseType>::S_globalUpdateFlag
    = EvaluationBaseType::S_globalUpdateFlag;

template< typename EvaluationBaseType>
const flag_Type EvaluationCubicRoot<EvaluationBaseType>::S_testUpdateFlag
    = EvaluationBaseType::S_testUpdateFlag;

template< typename EvaluationBaseType>
const flag_Type EvaluationCubicRoot<EvaluationBaseType>::S_solutionUpdateFlag
    = EvaluationBaseType::S_solutionUpdateFlag;


/*
     This expression is a specialization of the cubic root expression
     for the structure module to have a fast computation of the isochoric
     change of variable used in the structure module for the constitutive models
*/
template <typename EvaluationBaseType>
class EvaluationIsochoricChangeOfVariable
{
public:

    //! @name Public Types
    //@{

    //! Type of the value returned by the left operand
    typedef typename EvaluationBaseType::return_Type BaseReturn_Type;


    //! Type of the value returned by this class
    typedef typename OperationSmallIsochoricChangeOfVariable<BaseReturn_Type>::result_Type return_Type;
    //@}


    //! @name Static constants
    //@{

    //! Flag for the global current FE
    const static flag_Type S_globalUpdateFlag;

    //! Flag for the test current FE
    const static flag_Type S_testUpdateFlag;

    //! Flag for the solution current FE
    const static flag_Type S_solutionUpdateFlag;

    //@}


    //! @name Constructors, destructor
    //@{

    //! Copy constructor
    EvaluationIsochoricChangeOfVariable (const EvaluationIsochoricChangeOfVariable& eval)
        : M_evaluationBase (eval.M_evaluationBase)
    {}

    //! Constructor from the corresponding expression
    template <typename BaseExpressionType>
    explicit EvaluationIsochoricChangeOfVariable (const ExpressionIsochoricChangeOfVariable<BaseExpressionType>& expression)
        : M_evaluationBase (expression.base() )
    {}

    //! Destructor
    ~EvaluationIsochoricChangeOfVariable() {}

    //@}


    //! @name Methods
    //@{

    //! Internal update method
    void update (const UInt& iElement)
    {
        M_evaluationBase.update (iElement);
    }

    //! Display method
    static void display ( std::ostream& out = std::cout )
    {
        out << " IsoCoV( " ;
        EvaluationBaseType::display (out);
        out << ")";
    }

    //@}


    //! @name Set Methods
    //@{

    //! Setter for the global current FE
    template< typename CFEType >
    void setGlobalCFE (const CFEType* globalCFE)
    {
        M_evaluationBase.setGlobalCFE (globalCFE);
    }

    //! Setter for the test current FE
    template< typename CFEType >
    void setTestCFE (const CFEType* testCFE)
    {
        M_evaluationBase.setTestCFE (testCFE);
    }

    //! Setter for the solution current FE
    template< typename CFEType >
    void setSolutionCFE (const CFEType* solutionCFE)
    {
        M_evaluationBase.setSolutionCFE (solutionCFE);
    }

    //! Setter for the quadrature rule
    void setQuadrature (const QuadratureRule& qr)
    {
        M_evaluationBase.setQuadrature (qr);
    }

    //@}


    //! @name Get Methods
    //@{

    //! Getter a value
    return_Type value_q (const UInt& q) const
    {
      return ( 1.0 / cbrt (M_evaluationBase.value_q (q)) ) * ( 1.0 / cbrt (M_evaluationBase.value_q (q)) );
    }

    //! Getter for the value for a vector
    return_Type value_qi (const UInt& q, const UInt& i) const
    {
      return ( 1.0 / cbrt (M_evaluationBase.value_qi (q, i) ) ) * ( 1.0 / cbrt (M_evaluationBase.value_qi (q, i) ) );
    }

    //! Getter for the value for a matrix
    return_Type value_qij (const UInt& q, const UInt& i, const UInt& j) const
    {
      return ( 1.0 / cbrt (M_evaluationBase.value_qij (q, i, j) ) ) * ( 1.0 / cbrt (M_evaluationBase.value_qij (q, i, j) ) );
    }

    //@}

private:

    //! @name Private Methods
    //@{

    //! No empty constructor
    EvaluationIsochoricChangeOfVariable();

    //@}

    //! Internal storage
    EvaluationBaseType M_evaluationBase;
};

template< typename EvaluationBaseType>
const flag_Type EvaluationIsochoricChangeOfVariable<EvaluationBaseType>::S_globalUpdateFlag
    = EvaluationBaseType::S_globalUpdateFlag;

template< typename EvaluationBaseType>
const flag_Type EvaluationIsochoricChangeOfVariable<EvaluationBaseType>::S_testUpdateFlag
    = EvaluationBaseType::S_testUpdateFlag;

template< typename EvaluationBaseType>
const flag_Type EvaluationIsochoricChangeOfVariable<EvaluationBaseType>::S_solutionUpdateFlag
    = EvaluationBaseType::S_solutionUpdateFlag;

} // Namespace ExpressionAssembly

} // Namespace LifeV
#endif