text: /*---------------------------------------------------------------------------*\
  Copyright (C) 2011-2016 OpenFOAM Foundation
  -------------------------------------------------------------------------------
  License
      This file is part of CAELUS.
  
      CAELUS is free software: you can redistribute it and/or modify it
      under the terms of the GNU General Public License as published by
      the Free Software Foundation, either version 3 of the License, or
      (at your option) any later version.
  
      CAELUS is distributed in the hope that it will be useful, but WITHOUT
      ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
      FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
      for more details.
  
      You should have received a copy of the GNU General Public License
      along with CAELUS.  If not, see <http://www.gnu.org/licenses/>.
  
  \*---------------------------------------------------------------------------*/
  
  
  
  #define TEMPLATE template<class Type>
  #include "FieldFunctionsM.hpp"
  
  // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
  
  namespace CML
  {
  
  // * * * * * * * * * * * * * * * Global Functions  * * * * * * * * * * * * * //
  
  template<class Type>
  void component
  (
      Field<typename Field<Type>::cmptType>& res,
      const UList<Type>& f,
      const direction d
  );
  
  
  template<class Type>
  void T(Field<Type>& res, const UList<Type>& f);
  
  
  template<class Type, direction r>
  void pow
  (
      Field<typename powProduct<Type, r>::type>& res,
      const UList<Type>& vf
  );
  
  
  template<class Type, direction r>
  tmp<Field<typename powProduct<Type, r>::type> >
  pow
  (
      const UList<Type>& f,
      typename powProduct<Type, r>::type
        = pTraits<typename powProduct<Type, r>::type>::zero
  );
  
  template<class Type, direction r>
  tmp<Field<typename powProduct<Type, r>::type> >
  pow
  (
      const tmp<Field<Type> >& tf,
      typename powProduct<Type, r>::type
        = pTraits<typename powProduct<Type, r>::type>::zero
  );
  
  
  template<class Type>
  void sqr
  (
      Field<typename outerProduct<Type, Type>::type>& res,
      const UList<Type>& vf
  );
  
  template<class Type>
  tmp<Field<typename outerProduct<Type, Type>::type> >
  sqr(const UList<Type>& f);
  
  template<class Type>
  tmp<Field<typename outerProduct<Type, Type>::type> >
  sqr(const tmp<Field<Type> >& tf);
  
  
  template<class Type>
  void magSqr(Field<scalar>& res, const UList<Type>& f);
  
  template<class Type>
  tmp<Field<scalar> > magSqr(const UList<Type>& f);
  
  template<class Type>
  tmp<Field<scalar> > magSqr(const tmp<Field<Type> >& tf);
  
  
  template<class Type>
  void mag(Field<scalar>& res, const UList<Type>& f);
  
  template<class Type>
  tmp<Field<scalar> > mag(const UList<Type>& f);
  
  template<class Type>
  tmp<Field<scalar> > mag(const tmp<Field<Type> >& tf);
  
  
  template<class Type>
  void cmptMax(Field<typename Field<Type>::cmptType>& res, const UList<Type>& f);
  
  template<class Type>
  tmp<Field<typename Field<Type>::cmptType> > cmptMax(const UList<Type>& f);
  
  template<class Type>
  tmp<Field<typename Field<Type>::cmptType> >
  cmptMax(const tmp<Field<Type> >& tf);
  
  
  template<class Type>
  void cmptMin(Field<typename Field<Type>::cmptType>& res, const UList<Type>& f);
  
  template<class Type>
  tmp<Field<typename Field<Type>::cmptType> > cmptMin(const UList<Type>& f);
  
  template<class Type>
  tmp<Field<typename Field<Type>::cmptType> >
  cmptMin(const tmp<Field<Type> >& tf);
  
  
  template<class Type>
  void cmptAv(Field<typename Field<Type>::cmptType>& res, const UList<Type>& f);
  
  template<class Type>
  tmp<Field<typename Field<Type>::cmptType> > cmptAv(const UList<Type>& f);
  
  template<class Type>
  tmp<Field<typename Field<Type>::cmptType> > cmptAv(const tmp<Field<Type> >& tf);
  
  
  template<class Type>
  void cmptMag(Field<Type>& res, const UList<Type>& f);
  
  template<class Type>
  tmp<Field<Type> > cmptMag(const UList<Type>& f);
  
  template<class Type>
  tmp<Field<Type> > cmptMag(const tmp<Field<Type> >& tf);
  
  #define TMP_UNARY_FUNCTION(ReturnType, Func)                                  \
                                                                                \
  template<class Type>                                                          \
  ReturnType Func(const tmp<Field<Type> >& tf1);
  
  template<class Type>
  Type max(const UList<Type>& f);
  
  TMP_UNARY_FUNCTION(Type, max)
  
  template<class Type>
  Type min(const UList<Type>& f);
  
  TMP_UNARY_FUNCTION(Type, min)
  
  template<class Type>
  Type sum(const UList<Type>& f);
  
  TMP_UNARY_FUNCTION(Type, sum)
  
  
  template<class Type>
  scalar sumProd(const UList<Type>& f1, const UList<Type>& f2);
  
  template<class Type>
  Type sumCmptProd(const UList<Type>& f1, const UList<Type>& f2);
  
  template<class Type>
  scalar sumSqr(const UList<Type>& f);
  
  TMP_UNARY_FUNCTION(scalar, sumSqr)
  
  template<class Type>
  scalar sumMag(const UList<Type>& f);
  
  TMP_UNARY_FUNCTION(scalar, sumMag)
  
  template<class Type>
  Type sumCmptMag(const UList<Type>& f);
  
  TMP_UNARY_FUNCTION(Type, sumCmptMag)
  
  template<class Type>
  Type average(const UList<Type>& f);
  
  TMP_UNARY_FUNCTION(Type, average)
  
  
  #define G_UNARY_FUNCTION(ReturnType, gFunc, Func, rFunc)                      \
                                                                                \
  template<class Type>                                                          \
  ReturnType gFunc(const UList<Type>& f);                                       \
  TMP_UNARY_FUNCTION(ReturnType, gFunc)
  
  G_UNARY_FUNCTION(Type, gMax, max, max)
  G_UNARY_FUNCTION(Type, gMin, min, min)
  G_UNARY_FUNCTION(Type, gSum, sum, sum)
  G_UNARY_FUNCTION(scalar, gSumSqr, sumSqr, sum)
  G_UNARY_FUNCTION(scalar, gSumMag, sumMag, sum)
  G_UNARY_FUNCTION(Type, gSumCmptMag, sumCmptMag, sum)
  
  #undef G_UNARY_FUNCTION
  
  template<class Type>
  scalar gSumProd(const UList<Type>& f1, const UList<Type>& f2);
  
  template<class Type>
  Type gSumCmptProd(const UList<Type>& f1, const UList<Type>& f2);
  
  template<class Type>
  Type gAverage(const UList<Type>& f);
  
  TMP_UNARY_FUNCTION(Type, gAverage)
  
  #undef TMP_UNARY_FUNCTION
  
  
  BINARY_FUNCTION(Type, Type, Type, max)
  BINARY_FUNCTION(Type, Type, Type, min)
  BINARY_FUNCTION(Type, Type, Type, cmptMultiply)
  BINARY_FUNCTION(Type, Type, Type, cmptDivide)
  
  BINARY_TYPE_FUNCTION(Type, Type, Type, max)
  BINARY_TYPE_FUNCTION(Type, Type, Type, min)
  BINARY_TYPE_FUNCTION(Type, Type, Type, cmptMultiply)
  BINARY_TYPE_FUNCTION(Type, Type, Type, cmptDivide)
  
  
  // * * * * * * * * * * * * * * * Global operators  * * * * * * * * * * * * * //
  
  UNARY_OPERATOR(Type, Type, -, negate)
  
  BINARY_OPERATOR(Type, Type, scalar, *, multiply)
  BINARY_OPERATOR(Type, scalar, Type, *, multiply)
  BINARY_OPERATOR(Type, Type, scalar, /, divide)
  
  BINARY_TYPE_OPERATOR_SF(Type, scalar, Type, *, multiply)
  BINARY_TYPE_OPERATOR_FS(Type, Type, scalar, *, multiply)
  
  BINARY_TYPE_OPERATOR_FS(Type, Type, scalar, /, divide)
  
  
  // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
  
  #define PRODUCT_OPERATOR(product, Op, OpFunc)                                 \
                                                                                \
  template<class Type1, class Type2>                                            \
  void OpFunc                                                                   \
  (                                                                             \
      Field<typename product<Type1, Type2>::type>& res,                         \
      const UList<Type1>& f1,                                                   \
      const UList<Type2>& f2                                                    \
  );                                                                            \
                                                                                \
  template<class Type1, class Type2>                                            \
  tmp<Field<typename product<Type1, Type2>::type> >                             \
  operator Op(const UList<Type1>& f1, const UList<Type2>& f2);                  \
                                                                                \
  template<class Type1, class Type2>                                            \
  tmp<Field<typename product<Type1, Type2>::type> >                             \
  operator Op(const UList<Type1>& f1, const tmp<Field<Type2> >& tf2);           \
                                                                                \
  template<class Type1, class Type2>                                            \
  tmp<Field<typename product<Type1, Type2>::type> >                             \
  operator Op(const tmp<Field<Type1> >& tf1, const UList<Type2>& f2);           \
                                                                                \
  template<class Type1, class Type2>                                            \
  tmp<Field<typename product<Type1, Type2>::type> >                             \
  operator Op(const tmp<Field<Type1> >& tf1, const tmp<Field<Type2> >& tf2);    \
                                                                                \
  template<class Type, class Form, class Cmpt, direction nCmpt>                 \
  void OpFunc                                                                   \
  (                                                                             \
      Field<typename product<Type, Form>::type>& res,                           \
      const UList<Type>& f1,                                                    \
      const VectorSpace<Form,Cmpt,nCmpt>& vs                                    \
  );                                                                            \
                                                                                \
  template<class Type, class Form, class Cmpt, direction nCmpt>                 \
  tmp<Field<typename product<Type, Form>::type> >                               \
  operator Op(const UList<Type>& f1, const VectorSpace<Form,Cmpt,nCmpt>& vs);   \
                                                                                \
  template<class Type, class Form, class Cmpt, direction nCmpt>                 \
  tmp<Field<typename product<Type, Form>::type> >                               \
  operator Op(const tmp<Field<Type> >&tf1,const VectorSpace<Form,Cmpt,nCmpt>&vs);\
                                                                                \
  template<class Form, class Cmpt, direction nCmpt, class Type>                 \
  void OpFunc                                                                   \
  (                                                                             \
      Field<typename product<Form, Type>::type>& res,                           \
      const VectorSpace<Form,Cmpt,nCmpt>& vs,                                   \
      const UList<Type>& f1                                                     \
  );                                                                            \
                                                                                \
  template<class Form, class Cmpt, direction nCmpt, class Type>                 \
  tmp<Field<typename product<Form, Type>::type> >                               \
  operator Op(const VectorSpace<Form,Cmpt,nCmpt>& vs, const UList<Type>& f1);   \
                                                                                \
  template<class Form, class Cmpt, direction nCmpt, class Type>                 \
  tmp<Field<typename product<Form, Type>::type> >                               \
  operator Op(const VectorSpace<Form,Cmpt,nCmpt>&vs,const tmp<Field<Type> >&tf1);
  
  PRODUCT_OPERATOR(typeOfSum, +, add)
  PRODUCT_OPERATOR(typeOfSum, -, subtract)
  
  PRODUCT_OPERATOR(outerProduct, *, outer)
  PRODUCT_OPERATOR(crossProduct, ^, cross)
  PRODUCT_OPERATOR(innerProduct, &, dot)
  PRODUCT_OPERATOR(scalarProduct, &&, dotdot)
  
  #undef PRODUCT_OPERATOR
  
  
  // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
  
  } // End namespace CML
  
  // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
  
  #include "undefFieldFunctionsM.hpp"
  #include "scalarField.hpp"
  
  // ************************************************************************* //
  