Merge from MrgToV7main1804

[modules/med.git] / src / MEDCoupling / MEDCouplingFieldDouble.cxx

// Copyright (C) 2007-2013  CEA/DEN, EDF R&D
//
// This library is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 2.1 of the License.
//
// This library 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
// Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307 USA
//
// See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
//
// Author : Anthony Geay (CEA/DEN)

#include "MEDCouplingFieldDouble.hxx"
#include "MEDCouplingFieldTemplate.hxx"
#include "MEDCouplingUMesh.hxx"
#include "MEDCouplingTimeDiscretization.hxx"
#include "MEDCouplingFieldDiscretization.hxx"
#include "MEDCouplingAutoRefCountObjectPtr.hxx"
#include "MEDCouplingNatureOfField.hxx"

#include "InterpKernelAutoPtr.hxx"

#include <sstream>
#include <limits>
#include <algorithm>
#include <functional>

using namespace ParaMEDMEM;


/*!
 * Creates a new MEDCouplingFieldDouble, of given spatial type and time discretization.
 * For more info, see \ref MEDCouplingFirstSteps3.
 * \param [in] type - the type of spatial discretization of the created field, one of
 *        (\ref ParaMEDMEM::ON_CELLS "ON_CELLS", 
 *         \ref ParaMEDMEM::ON_NODES "ON_NODES",
 *         \ref ParaMEDMEM::ON_GAUSS_PT "ON_GAUSS_PT", 
 *         \ref ParaMEDMEM::ON_GAUSS_NE "ON_GAUSS_NE",
 *         \ref ParaMEDMEM::ON_NODES_KR "ON_NODES_KR").
 * \param [in] td - the type of time discretization of the created field, one of
 *        (\ref ParaMEDMEM::NO_TIME "NO_TIME", 
 *         \ref ParaMEDMEM::ONE_TIME "ONE_TIME", 
 *         \ref ParaMEDMEM::LINEAR_TIME "LINEAR_TIME", 
 *         \ref ParaMEDMEM::CONST_ON_TIME_INTERVAL "CONST_ON_TIME_INTERVAL").
 * \return MEDCouplingFieldDouble* - a new instance of MEDCouplingFieldDouble. The
 *         caller is to delete this field using decrRef() as it is no more needed. 
 */
MEDCouplingFieldDouble* MEDCouplingFieldDouble::New(TypeOfField type, TypeOfTimeDiscretization td)
{
  return new MEDCouplingFieldDouble(type,td);
}

/*!
 * Creates a new MEDCouplingFieldDouble, of a given time discretization and with a
 * spatial type and supporting mesh copied from a given 
 * \ref MEDCouplingFieldTemplatesPage "field template".
 * For more info, see \ref MEDCouplingFirstSteps3.
 * \warning This method does not deeply copy neither the mesh nor the spatial
 * discretization. Only a shallow copy (reference) is done for the mesh and the spatial
 * discretization!
 * \param [in] ft - the \ref MEDCouplingFieldTemplatesPage "field template" defining
 *        the spatial discretization and the supporting mesh.
 * \param [in] td - the type of time discretization of the created field, one of
 *        (\ref ParaMEDMEM::NO_TIME "NO_TIME", 
 *         \ref ParaMEDMEM::ONE_TIME "ONE_TIME", 
 *         \ref ParaMEDMEM::LINEAR_TIME "LINEAR_TIME", 
 *         \ref ParaMEDMEM::CONST_ON_TIME_INTERVAL "CONST_ON_TIME_INTERVAL").
 * \return MEDCouplingFieldDouble* - a new instance of MEDCouplingFieldDouble. The
 *         caller is to delete this field using decrRef() as it is no more needed. 
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::New(const MEDCouplingFieldTemplate& ft, TypeOfTimeDiscretization td)
{
  return new MEDCouplingFieldDouble(ft,td);
}

/*!
 * Sets a time \a unit of \a this field. For more info, see \ref MEDCouplingFirstSteps3.
 * \param [in] unit \a unit (string) in which time is measured.
 */
void MEDCouplingFieldDouble::setTimeUnit(const char *unit)
{
  _time_discr->setTimeUnit(unit);
}

/*!
 * Returns a time unit of \a this field.
 * \return a string describing units in which time is measured.
 */
const char *MEDCouplingFieldDouble::getTimeUnit() const
{
  return _time_discr->getTimeUnit();
}

/*!
 * This method if possible the time information (time unit, time iteration, time unit and time value) with its support
 * that is to say its mesh.
 * 
 * \throw  If \c this->_mesh is null an exception will be thrown. An exception will also be throw if the spatial discretization is
 *         NO_TIME.
 */
void MEDCouplingFieldDouble::synchronizeTimeWithSupport() throw(INTERP_KERNEL::Exception)
{
  _time_discr->synchronizeTimeWith(_mesh);
}

/*!
 * Returns a new MEDCouplingFieldDouble which is a copy of \a this one. The data
 * of \a this field is copied either deep or shallow depending on \a recDeepCpy
 * parameter. But the underlying mesh is always shallow copied.
 * Data that can be copied either deeply or shallow are:
 * - \ref MEDCouplingTemporalDisc "temporal discretization" data that holds array(s)
 * of field values,
 * - \ref MEDCouplingSpatialDisc "a spatial discretization".
 * 
 * \c clone(false) is rather dedicated for advanced users that want to limit the amount
 * of memory. It allows the user to perform methods like operator+(), operator*()
 * etc. with \a this and the returned field. If the user wants to duplicate deeply the
 * underlying mesh he should call cloneWithMesh() method or deepCpy() instead. 
 * \warning The underlying \b mesh of the returned field is **always the same**
 *         (pointer) as \a this one **whatever the value** of \a recDeepCpy parameter.
 *  \param [in] recDeepCpy - if \c true, the copy of the underlying data arrays is
 *         deep, else all data arrays of \a this field are shared by the new field.
 *  \return MEDCouplingFieldDouble * - a new instance of MEDCouplingFieldDouble. The
 *         caller is to delete this field using decrRef() as it is no more needed.
 * \sa cloneWithMesh()
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::clone(bool recDeepCpy) const
{
  return new MEDCouplingFieldDouble(*this,recDeepCpy);
}

/*!
 * Returns a new MEDCouplingFieldDouble which is a copy of \a this one. The data
 * of \a this field is copied either deep or shallow depending on \a recDeepCpy
 * parameter. But the underlying mesh is always deep copied.
 * Data that can be copied either deeply or shallow are:
 * - \ref MEDCouplingTemporalDisc "temporal discretization" data that holds array(s)
 * of field values,
 * - \ref MEDCouplingSpatialDisc "a spatial discretization".
 * 
 * This method behaves exactly like clone() except that here the underlying **mesh is
 * always deeply duplicated**, whatever the value \a recDeepCpy parameter.
 * The result of \c cloneWithMesh(true) is exactly the same as that of deepCpy().
 * So the resulting field can not be used together with \a this one in the methods
 * like operator+(), operator*() etc. To avoid deep copying the underlying mesh,
 * the user can call clone().
 *  \param [in] recDeepCpy - if \c true, the copy of the underlying data arrays is
 *         deep, else all data arrays of \a this field are shared by the new field.
 *  \return MEDCouplingFieldDouble * - a new instance of MEDCouplingFieldDouble. The
 *         caller is to delete this field using decrRef() as it is no more needed.
 * \sa clone()
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::cloneWithMesh(bool recDeepCpy) const
{
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=clone(recDeepCpy);
  if(_mesh)
    {
      MEDCouplingAutoRefCountObjectPtr<MEDCouplingMesh> mCpy=_mesh->deepCpy();
      ret->setMesh(mCpy);
    }
  return ret.retn();
}

/*!
 * Returns a new MEDCouplingFieldDouble which is a deep copy of \a this one **including
 * the mesh**.
 * The result of this method is exactly the same as that of \c cloneWithMesh(true).
 * So the resulting field can not be used together with \a this one in the methods
 * like operator+(), operator*() etc. To avoid deep copying the underlying mesh,
 * the user can call clone().
 *  \return MEDCouplingFieldDouble * - a new instance of MEDCouplingFieldDouble. The
 *         caller is to delete this field using decrRef() as it is no more needed.
 * \sa cloneWithMesh()
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::deepCpy() const
{
  return cloneWithMesh(true);
}

/*!
 * Creates a new MEDCouplingFieldDouble of given
 * \ref MEDCouplingTemporalDisc "temporal discretization". The result field either
 * shares the data array(s) with \a this field, or holds a deep copy of it, depending on
 * \a deepCopy parameter. But the underlying \b mesh is always **shallow copied**.
 * \param [in] td - the type of time discretization of the created field, one of
 *        (\ref ParaMEDMEM::NO_TIME "NO_TIME", 
 *         \ref ParaMEDMEM::ONE_TIME "ONE_TIME", 
 *         \ref ParaMEDMEM::LINEAR_TIME "LINEAR_TIME", 
 *         \ref ParaMEDMEM::CONST_ON_TIME_INTERVAL "CONST_ON_TIME_INTERVAL").
 * \param [in] deepCopy - if \c true, the copy of the underlying data arrays is
 *         deep, else all data arrays of \a this field are shared by the new field.
 * \return MEDCouplingFieldDouble* - a new instance of MEDCouplingFieldDouble. The
 *         caller is to delete this field using decrRef() as it is no more needed. 
 * 
 * \ref cpp_mcfielddouble_buildNewTimeReprFromThis "Here is a C++ example."<br>
 * \ref py_mcfielddouble_buildNewTimeReprFromThis "Here is a Python example."
 * \sa clone()
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::buildNewTimeReprFromThis(TypeOfTimeDiscretization td, bool deepCopy) const
{
  MEDCouplingTimeDiscretization *tdo=_time_discr->buildNewTimeReprFromThis(td,deepCopy);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDiscretization> disc;
  if(_type)
    disc=_type->clone();
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(getNature(),tdo,disc.retn());
  ret->setMesh(getMesh());
  ret->setName(getName());
  ret->setDescription(getDescription());
  return ret.retn();
}

/*!
 * Copies tiny info (component names, name and description) from an \a other field to
 * \a this one.
 * \warning The underlying mesh is not renamed (for safety reason).
 *  \param [in] other - the field to copy the tiny info from.
 *  \throw If \a this->getNumberOfComponents() != \a other->getNumberOfComponents()
 */
void MEDCouplingFieldDouble::copyTinyStringsFrom(const MEDCouplingField *other) throw(INTERP_KERNEL::Exception)
{
  MEDCouplingField::copyTinyStringsFrom(other);
  const MEDCouplingFieldDouble *otherC=dynamic_cast<const MEDCouplingFieldDouble *>(other);
  if(otherC)
    {
      _time_discr->copyTinyStringsFrom(*otherC->_time_discr);
    }
}

/*!
 * Copies only times, order and iteration from an \a other field to
 * \a this one. The underlying mesh is not impacted by this method.
 * Arrays are not impacted neither.
 *  \param [in] other - the field to tiny attributes from.
 *  \throw If \a this->getNumberOfComponents() != \a other->getNumberOfComponents()
 */
void MEDCouplingFieldDouble::copyTinyAttrFrom(const MEDCouplingFieldDouble *other) throw(INTERP_KERNEL::Exception)
{
  if(other)
    {
      _time_discr->copyTinyAttrFrom(*other->_time_discr);
    }
  
}

void MEDCouplingFieldDouble::copyAllTinyAttrFrom(const MEDCouplingFieldDouble *other) throw(INTERP_KERNEL::Exception)
{
  copyTinyStringsFrom(other);
  copyTinyAttrFrom(other);
}

/*!
 * Returns a string describing \a this field. This string is outputted by \c print
 * Python command. The string includes info on
 * - name,
 * - description,
 * - \ref MEDCouplingSpatialDisc "spatial discretization",
 * - \ref MEDCouplingTemporalDisc "time discretization",
 * - \ref NatureOfField,
 * - components,
 * - mesh.
 *
 *  \return std::string - the string describing \a this field.
 */
std::string MEDCouplingFieldDouble::simpleRepr() const
{
  std::ostringstream ret;
  ret << "FieldDouble with name : \"" << getName() << "\"\n";
  ret << "Description of field is : \"" << getDescription() << "\"\n";
  if(_type)
    { ret << "FieldDouble space discretization is : " << _type->getStringRepr() << "\n"; }
  else
    { ret << "FieldDouble has no spatial discretization !\n"; }
  if(_time_discr)
    { ret << "FieldDouble time discretization is : " << _time_discr->getStringRepr() << "\n"; }
  else
    { ret << "FieldDouble has no time discretization !\n"; }
  ret << "FieldDouble nature of field is : \"" << MEDCouplingNatureOfField::GetReprNoThrow(_nature) << "\"\n";
  if(getArray())
    {
      if(getArray()->isAllocated())
        {
          int nbOfCompo=getArray()->getNumberOfComponents();
          ret << "FieldDouble default array has " << nbOfCompo << " components and " << getArray()->getNumberOfTuples() << " tuples.\n";
          ret << "FieldDouble default array has following info on components : ";
          for(int i=0;i<nbOfCompo;i++)
            ret << "\"" << getArray()->getInfoOnComponent(i) << "\" ";
          ret << "\n";
        }
      else
        {
          ret << "Array set but not allocated !\n";
        }
    }
  if(_mesh)
    ret << "Mesh support information :\n__________________________\n" << _mesh->simpleRepr();
  else
    ret << "Mesh support information : No mesh set !\n";
  return ret.str();
}

/*!
 * Returns a string describing \a this field. The string includes info on
 * - name,
 * - description,
 * - \ref MEDCouplingSpatialDisc "spatial discretization",
 * - \ref MEDCouplingTemporalDisc "time discretization",
 * - components,
 * - mesh,
 * - contents of data arrays.
 *
 *  \return std::string - the string describing \a this field.
 */
std::string MEDCouplingFieldDouble::advancedRepr() const
{
  std::ostringstream ret;
  ret << "FieldDouble with name : \"" << getName() << "\"\n";
  ret << "Description of field is : \"" << getDescription() << "\"\n";
  if(_type)
    { ret << "FieldDouble space discretization is : " << _type->getStringRepr() << "\n"; }
  else
    { ret << "FieldDouble has no space discretization set !\n"; }
  if(_time_discr)
    { ret << "FieldDouble time discretization is : " << _time_discr->getStringRepr() << "\n"; }
  else
    { ret << "FieldDouble has no time discretization set !\n"; }
  if(getArray())
    ret << "FieldDouble default array has " << getArray()->getNumberOfComponents() << " components and " << getArray()->getNumberOfTuples() << " tuples.\n";
  if(_mesh)
    ret << "Mesh support information :\n__________________________\n" << _mesh->advancedRepr();
  else
    ret << "Mesh support information : No mesh set !\n";
  std::vector<DataArrayDouble *> arrays;
  _time_discr->getArrays(arrays);
  int arrayId=0;
  for(std::vector<DataArrayDouble *>::const_iterator iter=arrays.begin();iter!=arrays.end();iter++,arrayId++)
    {
      ret << "Array #" << arrayId << " :\n__________\n";
      if(*iter)
        (*iter)->reprWithoutNameStream(ret);
      else
        ret << "Array empty !";
      ret << "\n";
    }
  return ret.str();
}

void MEDCouplingFieldDouble::writeVTK(const char *fileName) const throw(INTERP_KERNEL::Exception)
{
  std::vector<const MEDCouplingFieldDouble *> fs(1,this);
  MEDCouplingFieldDouble::WriteVTK(fileName,fs);
}

bool MEDCouplingFieldDouble::isEqualIfNotWhy(const MEDCouplingField *other, double meshPrec, double valsPrec, std::string& reason) const throw(INTERP_KERNEL::Exception)
{
  if(!other)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::isEqualIfNotWhy : other instance is NULL !");
  const MEDCouplingFieldDouble *otherC=dynamic_cast<const MEDCouplingFieldDouble *>(other);
  if(!otherC)
    {
      reason="field given in input is not castable in MEDCouplingFieldDouble !";
      return false;
    }
  if(!MEDCouplingField::isEqualIfNotWhy(other,meshPrec,valsPrec,reason))
    return false;
  if(!_time_discr->isEqualIfNotWhy(otherC->_time_discr,valsPrec,reason))
    {
      reason.insert(0,"In FieldDouble time discretizations differ :");
      return false;
    }
  return true;
}

/*!
 * Checks equality of \a this and \a other field. Only numeric data is considered,
 * i.e. names, description etc are not compared.
 *  \param [in] other - the field to compare with.
 *  \param [in] meshPrec - a precision used to compare node coordinates of meshes.
 *  \param [in] valsPrec - a precision used to compare data arrays of the two fields.
 *  \return bool - \c true if the two fields are equal, \c false else.
 *  \throw If \a other == NULL.
 *  \throw If the spatial discretization of \a this field is NULL.
 */
bool MEDCouplingFieldDouble::isEqualWithoutConsideringStr(const MEDCouplingField *other, double meshPrec, double valsPrec) const
{
  const MEDCouplingFieldDouble *otherC=dynamic_cast<const MEDCouplingFieldDouble *>(other);
  if(!otherC)
    return false;
  if(!MEDCouplingField::isEqualWithoutConsideringStr(other,meshPrec,valsPrec))
    return false;
  if(!_time_discr->isEqualWithoutConsideringStr(otherC->_time_discr,valsPrec))
    return false;
  return true;
}

/*!
 * This method states if \a this and 'other' are compatibles each other before performing any treatment.
 * This method is good for methods like : mergeFields.
 * This method is not very demanding compared to areStrictlyCompatible that is better for operation on fields.
 */
bool MEDCouplingFieldDouble::areCompatibleForMerge(const MEDCouplingField *other) const
{
  if(!MEDCouplingField::areCompatibleForMerge(other))
    return false;
  const MEDCouplingFieldDouble *otherC=dynamic_cast<const MEDCouplingFieldDouble *>(other);
  if(!otherC)
    return false;
  if(!_time_discr->areCompatible(otherC->_time_discr))
    return false;
  return true;
}

/*!
 * This method is more strict than MEDCouplingField::areCompatibleForMerge method.
 * This method is used for operation on fields to operate a first check before attempting operation.
 */
bool MEDCouplingFieldDouble::areStrictlyCompatible(const MEDCouplingField *other) const
{
  std::string tmp;
  if(!MEDCouplingField::areStrictlyCompatible(other))
    return false;
  const MEDCouplingFieldDouble *otherC=dynamic_cast<const MEDCouplingFieldDouble *>(other);
  if(!otherC)
    return false;
  if(!_time_discr->areStrictlyCompatible(otherC->_time_discr,tmp))
    return false;
  return true;
}

/*!
 * Method with same principle than MEDCouplingFieldDouble::areStrictlyCompatible method except that
 * number of components between \a this and 'other' can be different here (for operator*).
 */
bool MEDCouplingFieldDouble::areCompatibleForMul(const MEDCouplingField *other) const
{
  if(!MEDCouplingField::areStrictlyCompatible(other))
    return false;
  const MEDCouplingFieldDouble *otherC=dynamic_cast<const MEDCouplingFieldDouble *>(other);
  if(!otherC)
    return false;
  if(!_time_discr->areStrictlyCompatibleForMul(otherC->_time_discr))
    return false;
  return true;
}

/*!
 * Method with same principle than MEDCouplingFieldDouble::areStrictlyCompatible method except that
 * number of components between \a this and 'other' can be different here (for operator/).
 */
bool MEDCouplingFieldDouble::areCompatibleForDiv(const MEDCouplingField *other) const
{
  if(!MEDCouplingField::areStrictlyCompatible(other))
    return false;
  const MEDCouplingFieldDouble *otherC=dynamic_cast<const MEDCouplingFieldDouble *>(other);
  if(!otherC)
    return false;
  if(!_time_discr->areStrictlyCompatibleForDiv(otherC->_time_discr))
    return false;
  return true;
}

/*!
 * This method is invocated before any attempt of melding. This method is very close to areStrictlyCompatible,
 * except that \a this and other can have different number of components.
 */
bool MEDCouplingFieldDouble::areCompatibleForMeld(const MEDCouplingFieldDouble *other) const
{
  if(!MEDCouplingField::areStrictlyCompatible(other))
    return false;
  if(!_time_discr->areCompatibleForMeld(other->_time_discr))
    return false;
  return true;
}

/*!
 * Permutes values of \a this field according to a given permutation array for cells
 * renumbering. The underlying mesh is deeply copied and its cells are also permuted. 
 * The number of cells remains the same; for that the permutation array \a old2NewBg
 * should not contain equal ids.
 *  \param [in] old2NewBg - the permutation array in "Old to New" mode. Its length is
 *         to be equal to \a this->getMesh()->getNumberOfCells().
 *  \param [in] check - if \c true, \a old2NewBg is transformed to a new permutation
 *         array, so that its maximal cell id to correspond to (be less than) the number
 *         of cells in mesh. This new array is then used for the renumbering. If \a 
 *         check == \c false, \a old2NewBg is used as is, that is less secure as validity 
 *         of ids in \a old2NewBg is not checked.
 *  \throw If the mesh is not set.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If \a check == \c true and \a old2NewBg contains equal ids.
 *  \throw If mesh nature does not allow renumbering (e.g. structured mesh).
 * 
 *  \ref cpp_mcfielddouble_renumberCells "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_renumberCells "Here is a Python example".
 */
void MEDCouplingFieldDouble::renumberCells(const int *old2NewBg, bool check) throw(INTERP_KERNEL::Exception)
{
  renumberCellsWithoutMesh(old2NewBg,check);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingMesh> m=_mesh->deepCpy();
  m->renumberCells(old2NewBg,check);
  setMesh(m);
  updateTime();
}

/*!
 * Permutes values of \a this field according to a given permutation array for cells
 * renumbering. The underlying mesh is \b not permuted. 
 * The number of cells remains the same; for that the permutation array \a old2NewBg
 * should not contain equal ids.
 * This method performs a part of job of renumberCells(). The reasonable use of this
 * method is only for multi-field instances lying on the same mesh to avoid a
 * systematic duplication and renumbering of _mesh attribute. 
 * \warning Use this method with a lot of care!
 *  \param [in] old2NewBg - the permutation array in "Old to New" mode. Its length is
 *         to be equal to \a this->getMesh()->getNumberOfCells().
 *  \param [in] check - if \c true, \a old2NewBg is transformed to a new permutation
 *         array, so that its maximal cell id to correspond to (be less than) the number
 *         of cells in mesh. This new array is then used for the renumbering. If \a 
 *         check == \c false, \a old2NewBg is used as is, that is less secure as validity 
 *         of ids in \a old2NewBg is not checked.
 *  \throw If the mesh is not set.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If \a check == \c true and \a old2NewBg contains equal ids.
 *  \throw If mesh nature does not allow renumbering (e.g. structured mesh).
 */
void MEDCouplingFieldDouble::renumberCellsWithoutMesh(const int *old2NewBg, bool check) throw(INTERP_KERNEL::Exception)
{
   if(!_mesh)
     throw INTERP_KERNEL::Exception("Expecting a defined mesh to be able to operate a renumbering !");
   if(!((const MEDCouplingFieldDiscretization *)_type))
     throw INTERP_KERNEL::Exception("Expecting a spatial discretization to be able to operate a renumbering !");
  //
  _type->renumberCells(old2NewBg,check);
  std::vector<DataArrayDouble *> arrays;
  _time_discr->getArrays(arrays);
  _type->renumberArraysForCell(_mesh,arrays,old2NewBg,check);
  //
  updateTime();
}

/*!
 * Permutes values of \a this field according to a given permutation array for node
 * renumbering. The underlying mesh is deeply copied and its nodes are also permuted. 
 * The number of nodes can change, contrary to renumberCells().
 *  \param [in] old2NewBg - the permutation array in "Old to New" mode. Its length is
 *         to be equal to \a this->getMesh()->getNumberOfNodes().
 *  \param [in] eps - a precision used to compare field values at merged nodes. If
 *         the values differ more than \a eps, an exception is thrown.
 *  \throw If the mesh is not set.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If \a check == \c true and \a old2NewBg contains equal ids.
 *  \throw If mesh nature does not allow renumbering (e.g. structured mesh).
 *  \throw If values at merged nodes deffer more than \a eps.
 * 
 *  \ref cpp_mcfielddouble_renumberNodes "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_renumberNodes "Here is a Python example".
 */
void MEDCouplingFieldDouble::renumberNodes(const int *old2NewBg, double eps) throw(INTERP_KERNEL::Exception)
{
  const MEDCouplingPointSet *meshC=dynamic_cast<const MEDCouplingPointSet *>(_mesh);
  if(!meshC)
    throw INTERP_KERNEL::Exception("Invalid mesh to apply renumberNodes on it !");
  int nbOfNodes=meshC->getNumberOfNodes();
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingPointSet> meshC2((MEDCouplingPointSet *)meshC->deepCpy());
  int newNbOfNodes=*std::max_element(old2NewBg,old2NewBg+nbOfNodes)+1;
  renumberNodesWithoutMesh(old2NewBg,newNbOfNodes,eps);
  meshC2->renumberNodes(old2NewBg,newNbOfNodes);
  setMesh(meshC2);
}

/*!
 * Permutes values of \a this field according to a given permutation array for nodes
 * renumbering. The underlying mesh is \b not permuted. 
 * The number of nodes can change, contrary to renumberCells().
 * A given epsilon specifies a threshold of error in case of two nodes are merged but
 * the difference of values on these nodes are higher than \a eps.
 * This method performs a part of job of renumberNodes(), excluding node renumbering
 * in mesh. The reasonable use of this
 * method is only for multi-field instances lying on the same mesh to avoid a
 * systematic duplication and renumbering of _mesh attribute. 
 * \warning Use this method with a lot of care!
 * \warning In case of an exception thrown, the contents of the data array can be
 *         partially modified until the exception occurs. 
 *  \param [in] old2NewBg - the permutation array in "Old to New" mode. Its length is
 *         to be equal to \a this->getMesh()->getNumberOfNodes().
 *  \param [in] newNbOfNodes - a number of nodes in the mesh after renumbering.
 *  \param [in] eps - a precision used to compare field values at merged nodes. If
 *         the values differ more than \a eps, an exception is thrown.
 *  \throw If the mesh is not set.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If values at merged nodes deffer more than \a eps.
 */
void MEDCouplingFieldDouble::renumberNodesWithoutMesh(const int *old2NewBg, int newNbOfNodes, double eps) throw(INTERP_KERNEL::Exception)
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("Expecting a spatial discretization to be able to operate a renumbering !");
  std::vector<DataArrayDouble *> arrays;
  _time_discr->getArrays(arrays);
  for(std::vector<DataArrayDouble *>::const_iterator iter=arrays.begin();iter!=arrays.end();iter++)
    if(*iter)
      _type->renumberValuesOnNodes(eps,old2NewBg,newNbOfNodes,*iter);
}

/*!
 * Returns all tuple ids of \a this scalar field that fit the range [\a vmin,
 * \a vmax]. This method calls DataArrayDouble::getIdsInRange().
 *  \param [in] vmin - a lower boundary of the range. Tuples with values less than \a
 *         vmin are not included in the result array.
 *  \param [in] vmax - an upper boundary of the range. Tuples with values more than \a
 *         vmax are not included in the result array.
 *  \return DataArrayInt * - a new instance of DataArrayInt holding ids of selected
 *          tuples. The caller is to delete this array using decrRef() as it is no
 *          more needed.
 *  \throw If the data array is not set.
 *  \throw If \a this->getNumberOfComponents() != 1.
 */
DataArrayInt *MEDCouplingFieldDouble::getIdsInRange(double vmin, double vmax) const throw(INTERP_KERNEL::Exception)
{
  if(getArray()==0)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::getIdsInRange : no default array set !");
  return getArray()->getIdsInRange(vmin,vmax);
}

/*!
 * Builds a newly created field, that the caller will have the responsability to deal with (decrRef()).
 * This method makes the assumption that the field is correctly defined when this method is called, no check of this will be done.
 * This method returns a restriction of \a this so that only tuples with ids specified in \a part will be contained in the returned field.
 * Parameter \a part specifies **cell ids whatever the spatial discretization of this** (
 * \ref ParaMEDMEM::ON_CELLS "ON_CELLS", 
 * \ref ParaMEDMEM::ON_NODES "ON_NODES",
 * \ref ParaMEDMEM::ON_GAUSS_PT "ON_GAUSS_PT", 
 * \ref ParaMEDMEM::ON_GAUSS_NE "ON_GAUSS_NE",
 * \ref ParaMEDMEM::ON_NODES_KR "ON_NODES_KR").
 *
 * For example, \a this is a field on cells lying on a mesh that have 10 cells, \a part contains following cell ids [3,7,6].
 * Then the returned field will lie on mesh having 3 cells and the returned field will contain 3 tuples.<br>
 * Tuple #0 of the result field will refer to the cell #0 of returned mesh. The cell #0 of returned mesh will be equal to the cell #3 of \a this->getMesh().<br>
 * Tuple #1 of the result field will refer to the cell #1 of returned mesh. The cell #1 of returned mesh will be equal to the cell #7 of \a this->getMesh().<br>
 * Tuple #2 of the result field will refer to the cell #2 of returned mesh. The cell #2 of returned mesh will be equal to the cell #6 of \a this->getMesh().
 *
 * Let, for example, \a this be a field on nodes lying on a mesh that have 10 cells and 11 nodes, and \a part contains following cellIds [3,7,6].
 * Thus \a this currently contains 11 tuples. If the restriction of mesh to 3 cells leads to a mesh with 6 nodes, then the returned field
 * will contain 6 tuples and \a this field will lie on this restricted mesh. 
 *
 *  \param [in] part - an array of cell ids to include to the result field.
 *  \return MEDCouplingFieldDouble * - a new instance of MEDCouplingFieldDouble. The caller is to delete this field using decrRef() as it is no more needed.
 *
 *  \ref cpp_mcfielddouble_subpart1 "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_subpart1 "Here is a Python example".
 *  \sa MEDCouplingFieldDouble::buildSubPartRange
 */

MEDCouplingFieldDouble *MEDCouplingFieldDouble::buildSubPart(const DataArrayInt *part) const throw(INTERP_KERNEL::Exception)
{
  if(part==0)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::buildSubPart : not empty array must be passed to this method !");
  return buildSubPart(part->begin(),part->end());
}

/*!
 * Builds a newly created field, that the caller will have the responsability to deal with.
 * \n This method makes the assumption that \a this field is correctly defined when this method is called (\a this->checkCoherency() returns without any exception thrown), **no check of this will be done**.
 * \n This method returns a restriction of \a this so that only tuple ids specified in [ \a partBg , \a partEnd ) will be contained in the returned field.
 * \n Parameter [\a partBg, \a partEnd ) specifies **cell ids whatever the spatial discretization** of \a this (
 * \ref ParaMEDMEM::ON_CELLS "ON_CELLS", 
 * \ref ParaMEDMEM::ON_NODES "ON_NODES",
 * \ref ParaMEDMEM::ON_GAUSS_PT "ON_GAUSS_PT", 
 * \ref ParaMEDMEM::ON_GAUSS_NE "ON_GAUSS_NE",
 * \ref ParaMEDMEM::ON_NODES_KR "ON_NODES_KR").
 *
 * For example, \a this is a field on cells lying on a mesh that have 10 cells, \a partBg contains the following cell ids [3,7,6].
 * Then the returned field will lie on mesh having 3 cells and will contain 3 tuples.
 *- Tuple #0 of the result field will refer to the cell #0 of returned mesh. The cell #0 of returned mesh will be equal to the cell #3 of \a this->getMesh().
 *- Tuple #1 of the result field will refer to the cell #1 of returned mesh. The cell #1 of returned mesh will be equal to the cell #7 of \a this->getMesh().
 *- Tuple #2 of the result field will refer to the cell #2 of returned mesh. The cell #2 of returned mesh will be equal to the cell #6 of \a this->getMesh().
 *
 * Let, for example, \a this be a field on nodes lying on a mesh that have 10 cells and 11 nodes, and \a partBg contains following cellIds [3,7,6].
 * Thus \a this currently contains 11 tuples. If the restriction of mesh to 3 cells leads to a mesh with 6 nodes, then the returned field
 * will contain 6 tuples and \a this field will lie on this restricted mesh. 
 *
 * \param [in] partBg - start (included) of input range of cell ids to select [ \a partBg, \a partEnd )
 * \param [in] partEnd - end (not included) of input range of cell ids to select [ \a partBg, \a partEnd )
 * \return a newly allocated field the caller should deal with.
 * 
 * \throw if there is presence of an invalid cell id in [ \a partBg, \a partEnd ) regarding the number of cells of \a this->getMesh().
 *
 * \ref cpp_mcfielddouble_subpart1 "Here a C++ example."<br>
 * \ref py_mcfielddouble_subpart1 "Here a Python example."
 * \sa ParaMEDMEM::MEDCouplingFieldDouble::buildSubPart(const DataArrayInt *) const, MEDCouplingFieldDouble::buildSubPartRange
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::buildSubPart(const int *partBg, const int *partEnd) const throw(INTERP_KERNEL::Exception)
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::buildSubPart : Expecting a not NULL spatial discretization !");
  DataArrayInt *arrSelect;
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingMesh> m=_type->buildSubMeshData(_mesh,partBg,partEnd,arrSelect);
  MEDCouplingAutoRefCountObjectPtr<DataArrayInt> arrSelect2(arrSelect);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=clone(false);//quick shallow copy.
  const MEDCouplingFieldDiscretization *disc=getDiscretization();
  if(disc)
    ret->setDiscretization(MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDiscretization>(disc->clonePart(partBg,partEnd)));
  ret->setMesh(m);
  std::vector<DataArrayDouble *> arrays;
  _time_discr->getArrays(arrays);
  std::vector<DataArrayDouble *> arrs;
  std::vector< MEDCouplingAutoRefCountObjectPtr<DataArrayDouble> > arrsSafe;
  const int *arrSelBg=arrSelect->begin();
  const int *arrSelEnd=arrSelect->end();
  for(std::vector<DataArrayDouble *>::const_iterator iter=arrays.begin();iter!=arrays.end();iter++)
    {
      DataArrayDouble *arr=0;
      if(*iter)
        arr=(*iter)->selectByTupleIdSafe(arrSelBg,arrSelEnd);
      arrs.push_back(arr); arrsSafe.push_back(arr);
    }
  ret->_time_discr->setArrays(arrs,0);
  return ret.retn();
}

/*!
 * This method is equivalent to MEDCouplingFieldDouble::buildSubPart, the only difference is that the input range of cell ids is
 * given using a range given \a begin, \a end and \a step to optimize the part computation.
 * 
 * \sa MEDCouplingFieldDouble::buildSubPart
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::buildSubPartRange(int begin, int end, int step) const throw(INTERP_KERNEL::Exception)
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::buildSubPart : Expecting a not NULL spatial discretization !");
  DataArrayInt *arrSelect;
  int beginOut,endOut,stepOut;
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingMesh> m=_type->buildSubMeshDataRange(_mesh,begin,end,step,beginOut,endOut,stepOut,arrSelect);
  MEDCouplingAutoRefCountObjectPtr<DataArrayInt> arrSelect2(arrSelect);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=clone(false);//quick shallow copy.
  const MEDCouplingFieldDiscretization *disc=getDiscretization();
  if(disc)
    ret->setDiscretization(MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDiscretization>(disc->clonePartRange(begin,end,step)));
  ret->setMesh(m);
  std::vector<DataArrayDouble *> arrays;
  _time_discr->getArrays(arrays);
  std::vector<DataArrayDouble *> arrs;
  std::vector< MEDCouplingAutoRefCountObjectPtr<DataArrayDouble> > arrsSafe;
  for(std::vector<DataArrayDouble *>::const_iterator iter=arrays.begin();iter!=arrays.end();iter++)
    {
      DataArrayDouble *arr=0;
      if(*iter)
        {
          if(arrSelect)
            {
              const int *arrSelBg=arrSelect->begin();
              const int *arrSelEnd=arrSelect->end();
              arr=(*iter)->selectByTupleIdSafe(arrSelBg,arrSelEnd);
            }
          else
            arr=(*iter)->selectByTupleId2(beginOut,endOut,stepOut);
        }
      arrs.push_back(arr); arrsSafe.push_back(arr);
    }
  ret->_time_discr->setArrays(arrs,0);
  return ret.retn();
}

/*!
 * Returns a type of \ref MEDCouplingTemporalDisc "time discretization" of \a this field.
 *  \return ParaMEDMEM::TypeOfTimeDiscretization - an enum item describing the time
 *          discretization type.
 */
TypeOfTimeDiscretization MEDCouplingFieldDouble::getTimeDiscretization() const
{
  return _time_discr->getEnum();
}

MEDCouplingFieldDouble::MEDCouplingFieldDouble(TypeOfField type, TypeOfTimeDiscretization td):MEDCouplingField(type),
                                                                                              _time_discr(MEDCouplingTimeDiscretization::New(td))
{
}

/*!
 * ** WARINING : This method do not deeply copy neither mesh nor spatial discretization. Only a shallow copy (reference) is done for mesh and spatial discretization ! **
 */
MEDCouplingFieldDouble::MEDCouplingFieldDouble(const MEDCouplingFieldTemplate& ft, TypeOfTimeDiscretization td):MEDCouplingField(ft,false),
                                                                                                                _time_discr(MEDCouplingTimeDiscretization::New(td))
{
}

MEDCouplingFieldDouble::MEDCouplingFieldDouble(const MEDCouplingFieldDouble& other, bool deepCopy):MEDCouplingField(other,deepCopy),
                                                                                                   _time_discr(other._time_discr->performCpy(deepCopy))
{
}

MEDCouplingFieldDouble::MEDCouplingFieldDouble(NatureOfField n, MEDCouplingTimeDiscretization *td, MEDCouplingFieldDiscretization *type):MEDCouplingField(type,n),_time_discr(td)
{
}

MEDCouplingFieldDouble::~MEDCouplingFieldDouble()
{
  delete _time_discr;
}

/*!
 * Checks if \a this field is correctly defined, else an exception is thrown.
 *  \throw If the mesh is not set.
 *  \throw If the data array is not set.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If \a this->getTimeTolerance() < 0.
 *  \throw If the temporal discretization data is incorrect.
 *  \throw If mesh data does not correspond to field data.
 */
void MEDCouplingFieldDouble::checkCoherency() const throw(INTERP_KERNEL::Exception)
{
  if(!_mesh)
    throw INTERP_KERNEL::Exception("Field invalid because no mesh specified !");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::checkCoherency : no spatial discretization !");
  _time_discr->checkCoherency();
  _type->checkCoherencyBetween(_mesh,getArray());
}

/*!
 * Accumulate values of a given component of \a this field.
 *  \param [in] compId - the index of the component of interest.
 *  \return double - a sum value of *compId*-th component.
 *  \throw If the data array is not set.
 *  \throw If \a the condition ( 0 <= \a compId < \a this->getNumberOfComponents() ) is
 *         not respected.
 */
double MEDCouplingFieldDouble::accumulate(int compId) const
{
  if(getArray()==0)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::accumulate : no default array defined !");
  return getArray()->accumulate(compId);
}

/*!
 * Accumulates values of each component of \a this array.
 *  \param [out] res - an array of length \a this->getNumberOfComponents(), allocated 
 *         by the caller, that is filled by this method with sum value for each
 *         component.
 *  \throw If the data array is not set.
 */
void MEDCouplingFieldDouble::accumulate(double *res) const
{
  if(getArray()==0)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::accumulate : no default array defined !");
  getArray()->accumulate(res);
}

/*!
 * Returns the maximal value within \a this scalar field. Values of all arrays stored
 * in \a this->_time_discr are checked.
 *  \return double - the maximal value among all values of \a this field.
 *  \throw If \a this->getNumberOfComponents() != 1
 *  \throw If the data array is not set.
 *  \throw If there is an empty data array in \a this field.
 */
double MEDCouplingFieldDouble::getMaxValue() const throw(INTERP_KERNEL::Exception)
{
  std::vector<DataArrayDouble *> arrays;
  _time_discr->getArrays(arrays);
  double ret=-std::numeric_limits<double>::max();
  bool isExistingArr=false;
  for(std::vector<DataArrayDouble *>::const_iterator iter=arrays.begin();iter!=arrays.end();iter++)
    {
      if(*iter)
        {
          isExistingArr=true;
          int loc;
          ret=std::max(ret,(*iter)->getMaxValue(loc));
        }
    }
  if(!isExistingArr)
    throw INTERP_KERNEL::Exception("getMaxValue : No arrays defined !");
  return ret;
}

/*!
 * Returns the maximal value and all its locations within \a this scalar field.
 * Only the first of available data arrays is checked.
 *  \param [out] tupleIds - a new instance of DataArrayInt containg indices of
 *               tuples holding the maximal value. The caller is to delete it using
 *               decrRef() as it is no more needed.
 *  \return double - the maximal value among all values of the first array of \a this filed.
 *  \throw If \a this->getNumberOfComponents() != 1.
 *  \throw If there is an empty data array in \a this field.
 */
double MEDCouplingFieldDouble::getMaxValue2(DataArrayInt*& tupleIds) const throw(INTERP_KERNEL::Exception)
{
  std::vector<DataArrayDouble *> arrays;
  _time_discr->getArrays(arrays);
  double ret=-std::numeric_limits<double>::max();
  bool isExistingArr=false;
  tupleIds=0;
  MEDCouplingAutoRefCountObjectPtr<DataArrayInt> ret1;
  for(std::vector<DataArrayDouble *>::const_iterator iter=arrays.begin();iter!=arrays.end();iter++)
    {
      if(*iter)
        {
          isExistingArr=true;
          DataArrayInt *tmp;
          ret=std::max(ret,(*iter)->getMaxValue2(tmp));
          MEDCouplingAutoRefCountObjectPtr<DataArrayInt> tmpSafe(tmp);
          if(!((const DataArrayInt *)ret1))
            ret1=tmpSafe;
        }
    }
  if(!isExistingArr)
    throw INTERP_KERNEL::Exception("getMaxValue2 : No arrays defined !");
  tupleIds=ret1.retn();
  return ret;
}

/*!
 * Returns the minimal value within \a this scalar field. Values of all arrays stored
 * in \a this->_time_discr are checked.
 *  \return double - the minimal value among all values of \a this field.
 *  \throw If \a this->getNumberOfComponents() != 1
 *  \throw If the data array is not set.
 *  \throw If there is an empty data array in \a this field.
 */
double MEDCouplingFieldDouble::getMinValue() const throw(INTERP_KERNEL::Exception)
{
  std::vector<DataArrayDouble *> arrays;
  _time_discr->getArrays(arrays);
  double ret=std::numeric_limits<double>::max();
  bool isExistingArr=false;
  for(std::vector<DataArrayDouble *>::const_iterator iter=arrays.begin();iter!=arrays.end();iter++)
    {
      if(*iter)
        {
          isExistingArr=true;
          int loc;
          ret=std::min(ret,(*iter)->getMinValue(loc));
        }
    }
  if(!isExistingArr)
    throw INTERP_KERNEL::Exception("getMinValue : No arrays defined !");
  return ret;
}

/*!
 * Returns the minimal value and all its locations within \a this scalar field.
 * Only the first of available data arrays is checked.
 *  \param [out] tupleIds - a new instance of DataArrayInt containg indices of
 *               tuples holding the minimal value. The caller is to delete it using
 *               decrRef() as it is no more needed.
 *  \return double - the minimal value among all values of the first array of \a this filed.
 *  \throw If \a this->getNumberOfComponents() != 1.
 *  \throw If there is an empty data array in \a this field.
 */
double MEDCouplingFieldDouble::getMinValue2(DataArrayInt*& tupleIds) const throw(INTERP_KERNEL::Exception)
{
  std::vector<DataArrayDouble *> arrays;
  _time_discr->getArrays(arrays);
  double ret=-std::numeric_limits<double>::max();
  bool isExistingArr=false;
  tupleIds=0;
  MEDCouplingAutoRefCountObjectPtr<DataArrayInt> ret1;
  for(std::vector<DataArrayDouble *>::const_iterator iter=arrays.begin();iter!=arrays.end();iter++)
    {
      if(*iter)
        {
          isExistingArr=true;
          DataArrayInt *tmp;
          ret=std::max(ret,(*iter)->getMinValue2(tmp));
          MEDCouplingAutoRefCountObjectPtr<DataArrayInt> tmpSafe(tmp);
          if(!((const DataArrayInt *)ret1))
            ret1=tmpSafe;
        }
    }
  if(!isExistingArr)
    throw INTERP_KERNEL::Exception("getMinValue2 : No arrays defined !");
  tupleIds=ret1.retn();
  return ret;
}

/*!
 * Returns the average value of \a this scalar field.
 *  \return double - the average value over all values of the data array.
 *  \throw If \a this->getNumberOfComponents() != 1
 *  \throw If the data array is not set or it is empty.
 */
double MEDCouplingFieldDouble::getAverageValue() const throw(INTERP_KERNEL::Exception)
{
  if(getArray()==0)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::getAverageValue : no default array defined !");
  return getArray()->getAverageValue();
}

/*!
 * This method returns the euclidean norm of \a this field.
 * \f[
 * \sqrt{\sum_{0 \leq i < nbOfEntity}val[i]*val[i]}
 * \f]
 *  \throw If the data array is not set.
 */
double MEDCouplingFieldDouble::norm2() const throw(INTERP_KERNEL::Exception)
{
  if(getArray()==0)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::norm2 : no default array defined !");
  return getArray()->norm2();
}

/*!
 * This method returns the max norm of \a this field.
 * \f[
 * \max_{0 \leq i < nbOfEntity}{abs(val[i])}
 * \f]
 *  \throw If the data array is not set.
 */
double MEDCouplingFieldDouble::normMax() const throw(INTERP_KERNEL::Exception)
{
  if(getArray()==0)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::normMax : no default array defined !");
  return getArray()->normMax();
}

/*!
 * Computes sums of values of each component of \a this field wighted with
 * values returned by buildMeasureField().  
 *  \param [out] res - pointer to an array of result sum values, of size at least \a
 *         this->getNumberOfComponents(), that is to be allocated by the caller.
 *  \param [in] isWAbs - if \c true (default), \c abs() is applied to the weighs computed by
 *         buildMeasureField() that makes this method slower. If a user is sure that all
 *         cells of the underlying mesh have correct orientation, he can put \a isWAbs ==
 *         \c false that speeds up this method.
 *  \throw If the mesh is not set.
 *  \throw If the data array is not set.
 */
void MEDCouplingFieldDouble::getWeightedAverageValue(double *res, bool isWAbs) const throw(INTERP_KERNEL::Exception)
{
  if(getArray()==0)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::getWeightedAverageValue : no default array defined !");
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> w=buildMeasureField(isWAbs);
  double deno=w->getArray()->accumulate(0);
  MEDCouplingAutoRefCountObjectPtr<DataArrayDouble> arr=getArray()->deepCpy();
  arr->multiplyEqual(w->getArray());
  std::transform(arr->begin(),arr->end(),arr->getPointer(),std::bind2nd(std::multiplies<double>(),1./deno));
  arr->accumulate(res);
}

/*!
 * Computes a sum of values of a given component of \a this field wighted with
 * values returned by buildMeasureField().
 *  \param [in] compId - an index of the component of interest.
 *  \param [in] isWAbs - if \c true (default), \c abs() is applied to the weighs computed by
 *         buildMeasureField() that makes this method slower. If a user is sure that all
 *         cells of the underlying mesh have correct orientation, he can put \a isWAbs ==
 *         \c false that speeds up this method.
 *  \throw If the mesh is not set.
 *  \throw If the data array is not set.
 *  \throw If \a compId is not valid.
           A valid range is ( 0 <= \a compId < \a this->getNumberOfComponents() ).
 */
double MEDCouplingFieldDouble::getWeightedAverageValue(int compId, bool isWAbs) const throw(INTERP_KERNEL::Exception)
{
  int nbComps=getArray()->getNumberOfComponents();
  if(compId<0 || compId>=nbComps)
    {
      std::ostringstream oss; oss << "MEDCouplingFieldDouble::getWeightedAverageValue : Invalid compId specified : No such nb of components ! Should be in [0," << nbComps << ") !";
      throw INTERP_KERNEL::Exception(oss.str().c_str());
    }
  INTERP_KERNEL::AutoPtr<double> res=new double[nbComps];
  getWeightedAverageValue(res,isWAbs);
  return res[compId];
}

/*!
 * Returns the \c normL1 of values of a given component of \a this field:
 * \f[
 * \frac{\sum_{0 \leq i < nbOfEntity}|val[i]*Vol[i]|}{\sum_{0 \leq i < nbOfEntity}|Vol[i]|}
 * \f]
 *  \param [in] compId - an index of the component of interest.
 *  \throw If the mesh is not set.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If \a compId is not valid.
           A valid range is ( 0 <= \a compId < \a this->getNumberOfComponents() ).
 */
double MEDCouplingFieldDouble::normL1(int compId) const throw(INTERP_KERNEL::Exception)
{
  if(!_mesh)
    throw INTERP_KERNEL::Exception("No mesh underlying this field to perform normL1 !");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform normL1 !");
  int nbComps=getArray()->getNumberOfComponents();
  if(compId<0 || compId>=nbComps)
    {
      std::ostringstream oss; oss << "MEDCouplingFieldDouble::normL1 : Invalid compId specified : No such nb of components ! Should be in [0," << nbComps << ") !";
      throw INTERP_KERNEL::Exception(oss.str().c_str());
    }
  INTERP_KERNEL::AutoPtr<double> res=new double[nbComps];
  _type->normL1(_mesh,getArray(),res);
  return res[compId];
}

/*!
 * Returns the \c normL1 of values of each component of \a this field:
 * \f[
 * \frac{\sum_{0 \leq i < nbOfEntity}|val[i]*Vol[i]|}{\sum_{0 \leq i < nbOfEntity}|Vol[i]|}
 * \f]
 *  \param [out] res - pointer to an array of result values, of size at least \a
 *         this->getNumberOfComponents(), that is to be allocated by the caller.
 *  \throw If the mesh is not set.
 *  \throw If the spatial discretization of \a this field is NULL.
 */
void MEDCouplingFieldDouble::normL1(double *res) const throw(INTERP_KERNEL::Exception)
{
  if(!_mesh)
    throw INTERP_KERNEL::Exception("No mesh underlying this field to perform normL1");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform normL1 !");
  _type->normL1(_mesh,getArray(),res);
}

/*!
 * Returns the \c normL2 of values of a given component of \a this field:
 * \f[
 * \sqrt{\frac{\sum_{0 \leq i < nbOfEntity}|val[i]^{2}*Vol[i]|}{\sum_{0 \leq i < nbOfEntity}|Vol[i]|}}
 * \f]
 *  \param [in] compId - an index of the component of interest.
 *  \throw If the mesh is not set.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If \a compId is not valid.
           A valid range is ( 0 <= \a compId < \a this->getNumberOfComponents() ).
 */
double MEDCouplingFieldDouble::normL2(int compId) const throw(INTERP_KERNEL::Exception)
{
  if(!_mesh)
    throw INTERP_KERNEL::Exception("No mesh underlying this field to perform normL2");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform normL2 !");
  int nbComps=getArray()->getNumberOfComponents();
  if(compId<0 || compId>=nbComps)
    {
      std::ostringstream oss; oss << "MEDCouplingFieldDouble::normL2 : Invalid compId specified : No such nb of components ! Should be in [0," << nbComps << ") !";
      throw INTERP_KERNEL::Exception(oss.str().c_str());
    }
  INTERP_KERNEL::AutoPtr<double> res=new double[nbComps];
  _type->normL2(_mesh,getArray(),res);
  return res[compId];
}

/*!
 * Returns the \c normL2 of values of each component of \a this field:
 * \f[
 * \sqrt{\frac{\sum_{0 \leq i < nbOfEntity}|val[i]^{2}*Vol[i]|}{\sum_{0 \leq i < nbOfEntity}|Vol[i]|}}
 * \f]
 *  \param [out] res - pointer to an array of result values, of size at least \a
 *         this->getNumberOfComponents(), that is to be allocated by the caller.
 *  \throw If the mesh is not set.
 *  \throw If the spatial discretization of \a this field is NULL.
 */
void MEDCouplingFieldDouble::normL2(double *res) const throw(INTERP_KERNEL::Exception)
{
  if(!_mesh)
    throw INTERP_KERNEL::Exception("No mesh underlying this field to perform normL2");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform normL2 !");
  _type->normL2(_mesh,getArray(),res);
}

/*!
 * Computes a sum of values of a given component of \a this field multiplied by
 * values returned by buildMeasureField().
 * This method is useful to check the conservativity of interpolation method.
 *  \param [in] compId - an index of the component of interest.
 *  \param [in] isWAbs - if \c true (default), \c abs() is applied to the weighs computed by
 *         buildMeasureField() that makes this method slower. If a user is sure that all
 *         cells of the underlying mesh have correct orientation, he can put \a isWAbs ==
 *         \c false that speeds up this method.
 *  \throw If the mesh is not set.
 *  \throw If the data array is not set.
 *  \throw If \a compId is not valid.
           A valid range is ( 0 <= \a compId < \a this->getNumberOfComponents() ).
 */
double MEDCouplingFieldDouble::integral(int compId, bool isWAbs) const throw(INTERP_KERNEL::Exception)
{
  if(!_mesh)
    throw INTERP_KERNEL::Exception("No mesh underlying this field to perform integral");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform integral !");
  int nbComps=getArray()->getNumberOfComponents();
  if(compId<0 || compId>=nbComps)
    {
      std::ostringstream oss; oss << "MEDCouplingFieldDouble::integral : Invalid compId specified : No such nb of components ! Should be in [0," << nbComps << ") !";
      throw INTERP_KERNEL::Exception(oss.str().c_str());
    }
  INTERP_KERNEL::AutoPtr<double> res=new double[nbComps];
  _type->integral(_mesh,getArray(),isWAbs,res);
  return res[compId];
}

/*!
 * Computes a sum of values of each component of \a this field multiplied by
 * values returned by buildMeasureField().
 * This method is useful to check the conservativity of interpolation method.
 *  \param [in] isWAbs - if \c true (default), \c abs() is applied to the weighs computed by
 *         buildMeasureField() that makes this method slower. If a user is sure that all
 *         cells of the underlying mesh have correct orientation, he can put \a isWAbs ==
 *         \c false that speeds up this method.
 *  \param [out] res - pointer to an array of result sum values, of size at least \a
 *         this->getNumberOfComponents(), that is to be allocated by the caller.
 *  \throw If the mesh is not set.
 *  \throw If the data array is not set.
 *  \throw If the spatial discretization of \a this field is NULL.
 */
void MEDCouplingFieldDouble::integral(bool isWAbs, double *res) const throw(INTERP_KERNEL::Exception)
{
  if(!_mesh)
    throw INTERP_KERNEL::Exception("No mesh underlying this field to perform integral2");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform integral2 !");
  _type->integral(_mesh,getArray(),isWAbs,res);
}

/*!
 * Returns a value at a given cell of a structured mesh. The cell is specified by its
 * (i,j,k) index.
 *  \param [in] i - a index of node coordinates array along X axis. The cell is
 *         located between the i-th and ( i + 1 )-th nodes along X axis.
 *  \param [in] j - a index of node coordinates array along Y axis. The cell is
 *         located between the j-th and ( j + 1 )-th nodes along Y axis.
 *  \param [in] k - a index of node coordinates array along Z axis. The cell is
 *         located between the k-th and ( k + 1 )-th nodes along Z axis.
 *  \param [out] res - pointer to an array returning a feild value, of size at least
 *         \a this->getNumberOfComponents(), that is to be allocated by the caller.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If the mesh is not set.
 *  \throw If the mesh is not a structured one.
 *
 *  \ref cpp_mcfielddouble_getValueOnPos "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_getValueOnPos "Here is a Python example".
 */
void MEDCouplingFieldDouble::getValueOnPos(int i, int j, int k, double *res) const throw(INTERP_KERNEL::Exception)
{
  const DataArrayDouble *arr=_time_discr->getArray();
  if(!_mesh)
    throw INTERP_KERNEL::Exception("No mesh underlying this field to perform getValueOnPos");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform getValueOnPos !");
  _type->getValueOnPos(arr,_mesh,i,j,k,res);
}

/*!
 * Returns a value of \a this at a given point using spatial discretization.
 *  \param [in] spaceLoc - the point of interest.
 *  \param [out] res - pointer to an array returning a feild value, of size at least
 *         \a this->getNumberOfComponents(), that is to be allocated by the caller.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If the mesh is not set.
 *  \throw If \a spaceLoc is out of the spatial discretization.
 *
 *  \ref cpp_mcfielddouble_getValueOn "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_getValueOn "Here is a Python example".
 */
void MEDCouplingFieldDouble::getValueOn(const double *spaceLoc, double *res) const throw(INTERP_KERNEL::Exception)
{
  const DataArrayDouble *arr=_time_discr->getArray();
  if(!_mesh)
    throw INTERP_KERNEL::Exception("No mesh underlying this field to perform getValueOn");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform getValueOnPos !");
  _type->getValueOn(arr,_mesh,spaceLoc,res);
}

/*!
 * Returns values of \a this at given points using spatial discretization.
 *  \param [in] spaceLoc - coordinates of points of interest in full-interlace
 *          mode. This array is to be of size ( \a nbOfPoints * \a this->getNumberOfComponents() ).
 *  \param [in] nbOfPoints - number of points of interest.
 *  \return DataArrayDouble * - a new instance of DataArrayDouble holding field
 *         values relating to the input points. This array is of size \a nbOfPoints
 *         tuples per \a this->getNumberOfComponents() components. The caller is to 
 *         delete this array using decrRef() as it is no more needed.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If the mesh is not set.
 *  \throw If any point in \a spaceLoc is out of the spatial discretization.
 *
 *  \ref cpp_mcfielddouble_getValueOnMulti "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_getValueOnMulti "Here is a Python example".
 */
DataArrayDouble *MEDCouplingFieldDouble::getValueOnMulti(const double *spaceLoc, int nbOfPoints) const throw(INTERP_KERNEL::Exception)
{
  const DataArrayDouble *arr=_time_discr->getArray();
  if(!_mesh)
    throw INTERP_KERNEL::Exception("No mesh underlying this field to perform getValueOnMulti");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform getValueOnMulti !");
  return _type->getValueOnMulti(arr,_mesh,spaceLoc,nbOfPoints);
}

/*!
 * Returns a value of \a this field at a given point at a given time using spatial discretization.
 * If the time is not covered by \a this->_time_discr, an exception is thrown.
 *  \param [in] spaceLoc - the point of interest.
 *  \param [in] time - the time of interest.
 *  \param [out] res - pointer to an array returning a feild value, of size at least
 *         \a this->getNumberOfComponents(), that is to be allocated by the caller.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If the mesh is not set.
 *  \throw If \a spaceLoc is out of the spatial discretization.
 *  \throw If \a time is not covered by \a this->_time_discr.
 *
 *  \ref cpp_mcfielddouble_getValueOn_time "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_getValueOn_time "Here is a Python example".
 */
void MEDCouplingFieldDouble::getValueOn(const double *spaceLoc, double time, double *res) const throw(INTERP_KERNEL::Exception)
{
  std::vector< const DataArrayDouble *> arrs=_time_discr->getArraysForTime(time);
  if(!_mesh)
    throw INTERP_KERNEL::Exception("No mesh underlying this field to perform getValueOn");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform getValueOn !");
  std::vector<double> res2;
  for(std::vector< const DataArrayDouble *>::const_iterator iter=arrs.begin();iter!=arrs.end();iter++)
    {
      int sz=(int)res2.size();
      res2.resize(sz+(*iter)->getNumberOfComponents());
      _type->getValueOn(*iter,_mesh,spaceLoc,&res2[sz]);
    }
  _time_discr->getValueForTime(time,res2,res);
}

/*!
 * Apply a liner function to a given component of \a this field, so that
 * a component value <em>(x)</em> becomes \f$ a * x + b \f$.
 *  \param [in] a - the first coefficient of the function.
 *  \param [in] b - the second coefficient of the function.
 *  \param [in] compoId - the index of component to modify.
 *  \throw If the data array(s) is(are) not set.
 */
void MEDCouplingFieldDouble::applyLin(double a, double b, int compoId)
{
  _time_discr->applyLin(a,b,compoId);
}

/*!
 * This method sets \a this to a uniform scalar field with one component.
 * All tuples will have the same value 'value'.
 * An exception is thrown if no underlying mesh is defined.
 */
MEDCouplingFieldDouble &MEDCouplingFieldDouble::operator=(double value) throw(INTERP_KERNEL::Exception)
{
  if(!_mesh)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::operator= : no mesh defined !");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform operator = !");
  int nbOfTuple=_type->getNumberOfTuples(_mesh);
  _time_discr->setOrCreateUniformValueOnAllComponents(nbOfTuple,value);
  return *this;
}

/*!
 * Creates data array(s) of \a this field by using a C function for value generation.
 *  \param [in] nbOfComp - the number of components for \a this field to have.
 *  \param [in] func - the function used to compute values of \a this field.
 *         This function is to compute a field value basing on coordinates of value
 *         location point.
 *  \throw If the mesh is not set.
 *  \throw If \a func returns \c false.
 *  \throw If the spatial discretization of \a this field is NULL.
 *
 *  \ref cpp_mcfielddouble_fillFromAnalytic_c_func "Here is a C++ example".
 */
void MEDCouplingFieldDouble::fillFromAnalytic(int nbOfComp, FunctionToEvaluate func) throw(INTERP_KERNEL::Exception)
{
  if(!_mesh)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::fillFromAnalytic : no mesh defined !");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform fillFromAnalytic !");
  MEDCouplingAutoRefCountObjectPtr<DataArrayDouble> loc=_type->getLocalizationOfDiscValues(_mesh);
  _time_discr->fillFromAnalytic(loc,nbOfComp,func);
}

/*!
 * Creates data array(s) of \a this field by using a function for value generation.<br>
 * The function is applied to coordinates of value location points. For example, if
 * \a this field is on cells, the function is applied to cell barycenters.
 * For more info on supported expressions that can be used in the function, see \ref
 * MEDCouplingArrayApplyFuncExpr. <br>
 * The function can include arbitrary named variables
 * (e.g. "x","y" or "va44") to refer to components of point coordinates. Names of
 * variables are sorted in \b alphabetical \b order to associate a variable name with a
 * component. For example, in the expression "2*x+z", "x" stands for the component #0
 * and "z" stands for the component #1 (\b not #2)!<br>
 * In a general case, a value resulting from the function evaluation is assigned to all
 * components of a field value. But there is a possibility to have its own expression for
 * each component within one function. For this purpose, there are predefined variable
 * names (IVec, JVec, KVec, LVec etc) each dedicated to a certain component (IVec, to
 * the component #0 etc). A factor of such a variable is added to the
 * corresponding component only.<br>
 * For example, \a nbOfComp == 4, coordinates of a 3D point are (1.,3.,7.), then
 *   - "2*x + z"               produces (5.,5.,5.,5.)
 *   - "2*x + 0*y + z"         produces (9.,9.,9.,9.)
 *   - "2*x*IVec + (x+z)*LVec" produces (2.,0.,0.,4.)
 *   - "2*y*IVec + z*KVec + x" produces (7.,1.,1.,4.)
 *
 *  \param [in] nbOfComp - the number of components for \a this field to have.
 *  \param [in] func - the function used to compute values of \a this field.
 *         This function is used to compute a field value basing on coordinates of value
 *         location point. For example, if \a this field is on cells, the function
 *         is applied to cell barycenters.
 *  \throw If the mesh is not set.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If computing \a func fails.
 *
 *  \ref cpp_mcfielddouble_fillFromAnalytic "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_fillFromAnalytic "Here is a Python example".
 */
void MEDCouplingFieldDouble::fillFromAnalytic(int nbOfComp, const char *func) throw(INTERP_KERNEL::Exception)
{
  if(!_mesh)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::fillFromAnalytic : no mesh defined !");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform fillFromAnalytic !");
  MEDCouplingAutoRefCountObjectPtr<DataArrayDouble> loc=_type->getLocalizationOfDiscValues(_mesh);
  _time_discr->fillFromAnalytic(loc,nbOfComp,func);
}

/*!
 * Creates data array(s) of \a this field by using a function for value generation.<br>
 * The function is applied to coordinates of value location points. For example, if
 * \a this field is on cells, the function is applied to cell barycenters.<br>
 * This method differs from
 * \ref ParaMEDMEM::MEDCouplingFieldDouble::fillFromAnalytic(int nbOfComp, const char *func) "fillFromAnalytic()"
 * by the way how variable
 * names, used in the function, are associated with components of coordinates of field
 * location points; here, a variable name corresponding to a component is retrieved from
 * a corresponding node coordinates array (where it is set via
 * DataArrayDouble::setInfoOnComponent()).<br>
 * For more info on supported expressions that can be used in the function, see \ref
 * MEDCouplingArrayApplyFuncExpr. <br> 
 * In a general case, a value resulting from the function evaluation is assigned to all
 * components of a field value. But there is a possibility to have its own expression for
 * each component within one function. For this purpose, there are predefined variable
 * names (IVec, JVec, KVec, LVec etc) each dedicated to a certain component (IVec, to
 * the component #0 etc). A factor of such a variable is added to the
 * corresponding component only.<br>
 * For example, \a nbOfComp == 4, names of spatial components are "x", "y" and "z",
 * coordinates of a 3D point are (1.,3.,7.), then
 *   - "2*x + z"               produces (9.,9.,9.,9.)
 *   - "2*x*IVec + (x+z)*LVec" produces (2.,0.,0.,8.)
 *   - "2*y*IVec + z*KVec + x" produces (7.,1.,1.,8.)
 *
 *  \param [in] nbOfComp - the number of components for \a this field to have.
 *  \param [in] func - the function used to compute values of \a this field.
 *         This function is used to compute a field value basing on coordinates of value
 *         location point. For example, if \a this field is on cells, the function
 *         is applied to cell barycenters.
 *  \throw If the mesh is not set.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If computing \a func fails.
 *
 *  \ref cpp_mcfielddouble_fillFromAnalytic2 "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_fillFromAnalytic2 "Here is a Python example".
 */
void MEDCouplingFieldDouble::fillFromAnalytic2(int nbOfComp, const char *func) throw(INTERP_KERNEL::Exception)
{
  if(!_mesh)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::fillFromAnalytic2 : no mesh defined !");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform fillFromAnalytic2 !");
  MEDCouplingAutoRefCountObjectPtr<DataArrayDouble> loc=_type->getLocalizationOfDiscValues(_mesh);
  _time_discr->fillFromAnalytic2(loc,nbOfComp,func);
}

/*!
 * Creates data array(s) of \a this field by using a function for value generation.<br>
 * The function is applied to coordinates of value location points. For example, if
 * \a this field is on cells, the function is applied to cell barycenters.<br>
 * This method differs from
 * \ref ParaMEDMEM::MEDCouplingFieldDouble::fillFromAnalytic(int nbOfComp, const char *func) "fillFromAnalytic()"
 * by the way how variable
 * names, used in the function, are associated with components of coordinates of field
 * location points; here, a component index of a variable is defined by a
 * rank of the variable within the input array \a varsOrder.<br>
 * For more info on supported expressions that can be used in the function, see \ref
 * MEDCouplingArrayApplyFuncExpr.
 * In a general case, a value resulting from the function evaluation is assigned to all
 * components of a field value. But there is a possibility to have its own expression for
 * each component within one function. For this purpose, there are predefined variable
 * names (IVec, JVec, KVec, LVec etc) each dedicated to a certain component (IVec, to
 * the component #0 etc). A factor of such a variable is added to the
 * corresponding component only.<br>
 * For example, \a nbOfComp == 4, names of
 * spatial components are given in \a varsOrder: ["x", "y","z"], coordinates of a
 * 3D point are (1.,3.,7.), then
 *   - "2*x + z"               produces (9.,9.,9.,9.)
 *   - "2*x*IVec + (x+z)*LVec" produces (2.,0.,0.,8.)
 *   - "2*y*IVec + z*KVec + x" produces (7.,1.,1.,8.)
 *
 *  \param [in] nbOfComp - the number of components for \a this field to have.
 *  \param [in] func - the function used to compute values of \a this field.
 *         This function is used to compute a field value basing on coordinates of value
 *         location point. For example, if \a this field is on cells, the function
 *         is applied to cell barycenters.
 *  \throw If the mesh is not set.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If computing \a func fails.
 *
 *  \ref cpp_mcfielddouble_fillFromAnalytic3 "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_fillFromAnalytic3 "Here is a Python example".
 */
void MEDCouplingFieldDouble::fillFromAnalytic3(int nbOfComp, const std::vector<std::string>& varsOrder, const char *func) throw(INTERP_KERNEL::Exception)
{
  if(!_mesh)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::fillFromAnalytic2 : no mesh defined !");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform fillFromAnalytic3 !");
  MEDCouplingAutoRefCountObjectPtr<DataArrayDouble> loc=_type->getLocalizationOfDiscValues(_mesh);
  _time_discr->fillFromAnalytic3(loc,nbOfComp,varsOrder,func);
}

/*!
 * Modifies values of \a this field by applying a C function to each tuple of all
 * data arrays.
 *  \param [in] nbOfComp - the number of components for \a this field to have.
 *  \param [in] func - the function used to compute values of \a this field.
 *         This function is to compute a field value basing on a current field value.
 *  \throw If \a func returns \c false.
 *
 *  \ref cpp_mcfielddouble_applyFunc_c_func "Here is a C++ example".
 */
void MEDCouplingFieldDouble::applyFunc(int nbOfComp, FunctionToEvaluate func)
{
  _time_discr->applyFunc(nbOfComp,func);
}

/*!
 * Fill \a this field with a given value.<br>
 * This method is a specialization of other overloaded methods. When \a nbOfComp == 1
 * this method is equivalent to ParaMEDMEM::MEDCouplingFieldDouble::operator=().
 *  \param [in] nbOfComp - the number of components for \a this field to have.
 *  \param [in] val - the value to assign to every atomic value of \a this field.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If the mesh is not set.
 *
 *  \ref cpp_mcfielddouble_applyFunc_val "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_applyFunc_val "Here is a Python example".
 */
void MEDCouplingFieldDouble::applyFunc(int nbOfComp, double val)
{
  if(!_mesh)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::applyFunc : no mesh defined !");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform applyFunc !");
  int nbOfTuple=_type->getNumberOfTuples(_mesh);
  _time_discr->setUniformValue(nbOfTuple,nbOfComp,val);
}

/*!
 * Modifies values of \a this field by applying a function to each tuple of all
 * data arrays.
 * For more info on supported expressions that can be used in the function, see \ref
 * MEDCouplingArrayApplyFuncExpr. <br>
 * The function can include arbitrary named variables
 * (e.g. "x","y" or "va44") to refer to components of a field value. Names of
 * variables are sorted in \b alphabetical \b order to associate a variable name with a
 * component. For example, in the expression "2*x+z", "x" stands for the component #0
 * and "z" stands for the component #1 (\b not #2)!<br>
 * In a general case, a value resulting from the function evaluation is assigned to all
 * components of a field value. But there is a possibility to have its own expression for
 * each component within one function. For this purpose, there are predefined variable
 * names (IVec, JVec, KVec, LVec etc) each dedicated to a certain component (IVec, to
 * the component #0 etc). A factor of such a variable is added to the
 * corresponding component only.<br>
 * For example, \a nbOfComp == 4, components of a field value are (1.,3.,7.), then
 *   - "2*x + z"               produces (5.,5.,5.,5.)
 *   - "2*x + 0*y + z"         produces (9.,9.,9.,9.)
 *   - "2*x*IVec + (x+z)*LVec" produces (2.,0.,0.,4.)
 *   - "2*y*IVec + z*KVec + x" produces (7.,1.,1.,4.)
 *
 *  \param [in] nbOfComp - the number of components for \a this field to have.
 *  \param [in] func - the function used to compute values of \a this field.
 *         This function is to compute a field value basing on a current field value.
 *  \throw If computing \a func fails.
 *
 *  \ref cpp_mcfielddouble_applyFunc "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_applyFunc "Here is a Python example".
 */
void MEDCouplingFieldDouble::applyFunc(int nbOfComp, const char *func) throw(INTERP_KERNEL::Exception)
{
  _time_discr->applyFunc(nbOfComp,func);
}


/*!
 * Modifies values of \a this field by applying a function to each tuple of all
 * data arrays.
 * For more info on supported expressions that can be used in the function, see \ref
 * MEDCouplingArrayApplyFuncExpr. <br>
 * This method differs from
 * \ref ParaMEDMEM::MEDCouplingFieldDouble::applyFunc(int nbOfComp, const char *func) "applyFunc()"
 * by the way how variable
 * names, used in the function, are associated with components of field values;
 * here, a variable name corresponding to a component is retrieved from
 * component information of an array (where it is set via
 * DataArrayDouble::setInfoOnComponent()).<br>
 * In a general case, a value resulting from the function evaluation is assigned to all
 * components of a field value. But there is a possibility to have its own expression for
 * each component within one function. For this purpose, there are predefined variable
 * names (IVec, JVec, KVec, LVec etc) each dedicated to a certain component (IVec, to
 * the component #0 etc). A factor of such a variable is added to the
 * corresponding component only.<br>
 * For example, \a nbOfComp == 4, components of a field value are (1.,3.,7.), then
 *   - "2*x + z"               produces (5.,5.,5.,5.)
 *   - "2*x + 0*y + z"         produces (9.,9.,9.,9.)
 *   - "2*x*IVec + (x+z)*LVec" produces (2.,0.,0.,4.)
 *   - "2*y*IVec + z*KVec + x" produces (7.,1.,1.,4.)
 *
 *  \param [in] nbOfComp - the number of components for \a this field to have.
 *  \param [in] func - the function used to compute values of \a this field.
 *         This function is to compute a new field value basing on a current field value.
 *  \throw If computing \a func fails.
 *
 *  \ref cpp_mcfielddouble_applyFunc2 "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_applyFunc2 "Here is a Python example".
 */
void MEDCouplingFieldDouble::applyFunc2(int nbOfComp, const char *func) throw(INTERP_KERNEL::Exception)
{
  _time_discr->applyFunc2(nbOfComp,func);
}

/*!
 * Modifies values of \a this field by applying a function to each tuple of all
 * data arrays.
 * This method differs from
 * \ref ParaMEDMEM::MEDCouplingFieldDouble::applyFunc(int nbOfComp, const char *func) "applyFunc()"
 * by the way how variable
 * names, used in the function, are associated with components of field values;
 * here, a component index of a variable is defined by a
 * rank of the variable within the input array \a varsOrder.<br>
 * For more info on supported expressions that can be used in the function, see \ref
 * MEDCouplingArrayApplyFuncExpr.
 * In a general case, a value resulting from the function evaluation is assigned to all
 * components of a field value. But there is a possibility to have its own expression for
 * each component within one function. For this purpose, there are predefined variable
 * names (IVec, JVec, KVec, LVec etc) each dedicated to a certain component (IVec, to
 * the component #0 etc). A factor of such a variable is added to the
 * corresponding component only.<br>
 * For example, \a nbOfComp == 4, names of
 * components are given in \a varsOrder: ["x", "y","z"], components of a
 * 3D vector are (1.,3.,7.), then
 *   - "2*x + z"               produces (9.,9.,9.,9.)
 *   - "2*x*IVec + (x+z)*LVec" produces (2.,0.,0.,8.)
 *   - "2*y*IVec + z*KVec + x" produces (7.,1.,1.,8.)
 *
 *  \param [in] nbOfComp - the number of components for \a this field to have.
 *  \param [in] func - the function used to compute values of \a this field.
 *         This function is to compute a new field value basing on a current field value.
 *  \throw If computing \a func fails.
 *
 *  \ref cpp_mcfielddouble_applyFunc3 "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_applyFunc3 "Here is a Python example".
 */
void MEDCouplingFieldDouble::applyFunc3(int nbOfComp, const std::vector<std::string>& varsOrder, const char *func) throw(INTERP_KERNEL::Exception)
{
  _time_discr->applyFunc3(nbOfComp,varsOrder,func);
}

/*!
 * Modifies values of \a this field by applying a function to each atomic value of all
 * data arrays. The function computes a new single value basing on an old single value.
 * For more info on supported expressions that can be used in the function, see \ref
 * MEDCouplingArrayApplyFuncExpr. <br>
 * The function can include **only one** arbitrary named variable
 * (e.g. "x","y" or "va44") to refer to a field atomic value. <br>
 * In a general case, a value resulting from the function evaluation is assigned to 
 * a single field value. But there is a possibility to have its own expression for
 * each component within one function. For this purpose, there are predefined variable
 * names (IVec, JVec, KVec, LVec etc) each dedicated to a certain component (IVec, to
 * the component #0 etc). A factor of such a variable is added to the
 * corresponding component only.<br>
 * For example, components of a field value are (1.,3.,7.), then
 *   - "2*x - 1"               produces (1.,5.,13.)
 *   - "2*x*IVec + (x+3)*KVec" produces (2.,0.,10.)
 *   - "2*x*IVec + (x+3)*KVec + 1" produces (3.,1.,11.)
 *
 *  \param [in] func - the function used to compute values of \a this field.
 *         This function is to compute a field value basing on a current field value.
 *  \throw If computing \a func fails.
 *
 *  \ref cpp_mcfielddouble_applyFunc_same_nb_comp "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_applyFunc_same_nb_comp "Here is a Python example".
 */
void MEDCouplingFieldDouble::applyFunc(const char *func) throw(INTERP_KERNEL::Exception)
{
  _time_discr->applyFunc(func);
}

/*!
 * Applyies the function specified by the string repr 'func' on each tuples on all arrays contained in _time_discr.
 * The field will contain exactly the same number of components after the call.
 * Use is not warranted for the moment !
 */
void MEDCouplingFieldDouble::applyFuncFast32(const char *func) throw(INTERP_KERNEL::Exception)
{
  _time_discr->applyFuncFast32(func);
}

/*!
 * Applyies the function specified by the string repr 'func' on each tuples on all arrays contained in _time_discr.
 * The field will contain exactly the same number of components after the call.
 * Use is not warranted for the moment !
 */
void MEDCouplingFieldDouble::applyFuncFast64(const char *func) throw(INTERP_KERNEL::Exception)
{
  _time_discr->applyFuncFast64(func);
}

/*!
 * Returns number of components in the data array. For more info on the data arrays,
 * see \ref MEDCouplingArrayPage.
 *  \return int - the number of components in the data array.
 *  \throw If the data array is not set.
 */
int MEDCouplingFieldDouble::getNumberOfComponents() const throw(INTERP_KERNEL::Exception)
{
  if(getArray()==0)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::getNumberOfComponents : No array specified !");
  return getArray()->getNumberOfComponents();
}

/*!
 * Returns number of tuples in \a this field, that depends on 
 * - the number of entities in the underlying mesh
 * - \ref MEDCouplingSpatialDisc "spatial discretization" of \a this field (e.g. number
 * of Gauss points if \a this->getTypeOfField() == 
 * \ref ParaMEDMEM::ON_GAUSS_PT "ON_GAUSS_PT").
 *
 * The returned value does **not depend** on the number of tuples in the data array
 * (which has to be equal to the returned value), \b contrary to
 * getNumberOfComponents() and getNumberOfValues() that retrieve information from the
 * data array.
 * \warning No checkCoherency() is done here.
 * For more info on the data arrays, see \ref MEDCouplingArrayPage.
 *  \return int - the number of tuples.
 *  \throw If the mesh is not set.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If the spatial discretization is not fully defined.
 */
int MEDCouplingFieldDouble::getNumberOfTuples() const throw(INTERP_KERNEL::Exception)
{
  if(!_mesh)
    throw INTERP_KERNEL::Exception("Impossible to retrieve number of tuples because no mesh specified !");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform getNumberOfTuples !");
  return _type->getNumberOfTuples(_mesh);
}

/*!
 * Returns number of atomic double values in the data array of \a this field.
 * For more info on the data arrays, see \ref MEDCouplingArrayPage.
 *  \return int - (number of tuples) * (number of components) of the
 *  data array.
 *  \throw If the data array is not set.
 */
int MEDCouplingFieldDouble::getNumberOfValues() const throw(INTERP_KERNEL::Exception)
{
  if(getArray()==0)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::getNumberOfValues : No array specified !");
  return getArray()->getNbOfElems();
}

/*!
 * Sets own modification time by the most recently modified element of data (the mesh,
 * the data array etc). For more info, see \ref MEDCouplingTimeLabelPage.
 */
void MEDCouplingFieldDouble::updateTime() const
{
  MEDCouplingField::updateTime();
  updateTimeWith(*_time_discr);
}

std::size_t MEDCouplingFieldDouble::getHeapMemorySize() const
{
  std::size_t ret=0;
  if(_time_discr)
    ret+=_time_discr->getHeapMemorySize();
  return MEDCouplingField::getHeapMemorySize()+ret;
}

/*!
 * Sets \ref NatureOfField.
 *  \param [in] nat - an item of enum ParaMEDMEM::NatureOfField.
 */
void MEDCouplingFieldDouble::setNature(NatureOfField nat) throw(INTERP_KERNEL::Exception)
{
  MEDCouplingField::setNature(nat);
  if(_type)
    _type->checkCompatibilityWithNature(nat);
}

/*!
 * This method synchronizes time information (time, iteration, order, time unit) regarding the information in \c this->_mesh.
 * \throw If no mesh is set in this. Or if \a this is not compatible with time setting (typically NO_TIME)
 */
void MEDCouplingFieldDouble::synchronizeTimeWithMesh() throw(INTERP_KERNEL::Exception)
{
  if(!_mesh)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::synchronizeTimeWithMesh : no mesh set in this !");
  int it=-1,ordr=-1;
  double val=_mesh->getTime(it,ordr);
  std::string timeUnit(_mesh->getTimeUnit());
  setTime(val,it,ordr);
  setTimeUnit(timeUnit.c_str());
}

/*!
 * Returns a value of \a this field of type either
 * \ref ParaMEDMEM::ON_GAUSS_PT "ON_GAUSS_PT" or
 * \ref ParaMEDMEM::ON_GAUSS_NE "ON_GAUSS_NE".
 *  \param [in] cellId - an id of cell of interest.
 *  \param [in] nodeIdInCell - a node index within the cell.
 *  \param [in] compoId - an index of component.
 *  \return double - the field value corresponding to the specified parameters.
 *  \throw If the data array is not set.
 *  \throw If the mesh is not set.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If \a this field if of type other than 
 *         \ref ParaMEDMEM::ON_GAUSS_PT "ON_GAUSS_PT" or
 *         \ref ParaMEDMEM::ON_GAUSS_NE "ON_GAUSS_NE".
 */
double MEDCouplingFieldDouble::getIJK(int cellId, int nodeIdInCell, int compoId) const
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform getIJK !");
  return _type->getIJK(_mesh,getArray(),cellId,nodeIdInCell,compoId);
}

/*!
 * Sets the data array. 
 *  \param [in] array - the data array holding values of \a this field. It's size
 *         should correspond to the mesh and
 *         \ref MEDCouplingSpatialDisc "spatial discretization" of \a this field
 *         (see getNumberOfTuples()), but this size is not checked here.
 */
void MEDCouplingFieldDouble::setArray(DataArrayDouble *array)
{
  _time_discr->setArray(array,this);
}

/*!
 * Sets the data array holding values corresponding to an end of a time interval
 * for which \a this field is defined.
 *  \param [in] array - the data array holding values of \a this field. It's size
 *         should correspond to the mesh and
 *         \ref MEDCouplingSpatialDisc "spatial discretization" of \a this field
 *         (see getNumberOfTuples()), but this size is not checked here.
 */
void MEDCouplingFieldDouble::setEndArray(DataArrayDouble *array)
{
  _time_discr->setEndArray(array,this);
}

/*!
 * Sets all data arrays needed to define the field values.
 *  \param [in] arrs - a vector of DataArrayDouble's holding values of \a this
 *         field. Size of each array should correspond to the mesh and
 *         \ref MEDCouplingSpatialDisc "spatial discretization" of \a this field
 *         (see getNumberOfTuples()), but this size is not checked here.
 *  \throw If number of arrays in \a arrs does not correspond to type of
 *         \ref MEDCouplingTemporalDisc "temporal discretization" of \a this field.
 */
void MEDCouplingFieldDouble::setArrays(const std::vector<DataArrayDouble *>& arrs) throw(INTERP_KERNEL::Exception)
{
  _time_discr->setArrays(arrs,this);
}

void MEDCouplingFieldDouble::getTinySerializationStrInformation(std::vector<std::string>& tinyInfo) const
{
  tinyInfo.clear();
  _time_discr->getTinySerializationStrInformation(tinyInfo);
  tinyInfo.push_back(_name);
  tinyInfo.push_back(_desc);
  tinyInfo.push_back(getTimeUnit());
}

/*!
 * This method retrieves some critical values to resize and prepare remote instance.
 * The first two elements returned in tinyInfo correspond to the parameters to give in constructor.
 * @param tinyInfo out parameter resized correctly after the call. The length of this vector is tiny.
 */
void MEDCouplingFieldDouble::getTinySerializationIntInformation(std::vector<int>& tinyInfo) const
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform getTinySerializationIntInformation !");
  tinyInfo.clear();
  tinyInfo.push_back((int)_type->getEnum());
  tinyInfo.push_back((int)_time_discr->getEnum());
  tinyInfo.push_back((int)_nature);
  _time_discr->getTinySerializationIntInformation(tinyInfo);
  std::vector<int> tinyInfo2;
  _type->getTinySerializationIntInformation(tinyInfo2);
  tinyInfo.insert(tinyInfo.end(),tinyInfo2.begin(),tinyInfo2.end());
  tinyInfo.push_back((int)tinyInfo2.size());
}

/*!
 * This method retrieves some critical values to resize and prepare remote instance.
 * @param tinyInfo out parameter resized correctly after the call. The length of this vector is tiny.
 */
void MEDCouplingFieldDouble::getTinySerializationDbleInformation(std::vector<double>& tinyInfo) const
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform getTinySerializationDbleInformation !");
  tinyInfo.clear();
  _time_discr->getTinySerializationDbleInformation(tinyInfo);
  std::vector<double> tinyInfo2;
  _type->getTinySerializationDbleInformation(tinyInfo2);
  tinyInfo.insert(tinyInfo.end(),tinyInfo2.begin(),tinyInfo2.end());
  tinyInfo.push_back((int)tinyInfo2.size());//very bad, lack of time to improve it
}

/*!
 * This method has to be called to the new instance filled by CORBA, MPI, File...
 * @param tinyInfoI is the value retrieves from distant result of getTinySerializationIntInformation on source instance to be copied.
 * @param dataInt out parameter. If not null the pointer is already owned by \a this after the call of this method. In this case no decrRef must be applied.
 * @param arrays out parameter is a vector resized to the right size. The pointers in the vector is already owned by \a this after the call of this method.
 *               No decrRef must be applied to every instances in returned vector.
 */
void MEDCouplingFieldDouble::resizeForUnserialization(const std::vector<int>& tinyInfoI, DataArrayInt *&dataInt, std::vector<DataArrayDouble *>& arrays)
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform resizeForUnserialization !");
  dataInt=0;
  std::vector<int> tinyInfoITmp(tinyInfoI);
  int sz=tinyInfoITmp.back();
  tinyInfoITmp.pop_back();
  std::vector<int> tinyInfoITmp2(tinyInfoITmp.begin(),tinyInfoITmp.end()-sz);
  std::vector<int> tinyInfoI2(tinyInfoITmp2.begin()+3,tinyInfoITmp2.end());
  _time_discr->resizeForUnserialization(tinyInfoI2,arrays);
  std::vector<int> tinyInfoITmp3(tinyInfoITmp.end()-sz,tinyInfoITmp.end());
  _type->resizeForUnserialization(tinyInfoITmp3,dataInt);
}

void MEDCouplingFieldDouble::finishUnserialization(const std::vector<int>& tinyInfoI, const std::vector<double>& tinyInfoD, const std::vector<std::string>& tinyInfoS)
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform finishUnserialization !");
  std::vector<int> tinyInfoI2(tinyInfoI.begin()+3,tinyInfoI.end());
  //
  std::vector<double> tmp(tinyInfoD);
  int sz=(int)tinyInfoD.back();//very bad, lack of time to improve it
  tmp.pop_back();
  std::vector<double> tmp1(tmp.begin(),tmp.end()-sz);
  std::vector<double> tmp2(tmp.end()-sz,tmp.end());
  //
  _time_discr->finishUnserialization(tinyInfoI2,tmp1,tinyInfoS);
  _nature=(NatureOfField)tinyInfoI[2];
  _type->finishUnserialization(tmp2);
  int nbOfElemS=(int)tinyInfoS.size();
  _name=tinyInfoS[nbOfElemS-3];
  _desc=tinyInfoS[nbOfElemS-2];
  setTimeUnit(tinyInfoS[nbOfElemS-1].c_str());
}

/*!
 * Contrary to MEDCouplingPointSet class the returned arrays are \b not the responsabilities of the caller.
 * The values returned must be consulted only in readonly mode.
 */
void MEDCouplingFieldDouble::serialize(DataArrayInt *&dataInt, std::vector<DataArrayDouble *>& arrays) const
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform serialize !");
  _time_discr->getArrays(arrays);
  _type->getSerializationIntArray(dataInt);
}

/*!
 * Tries to set an \a other mesh as the support of \a this field. An attempt fails, if
 * a current and the \a other meshes are different with use of specified equality
 * criteria, and then an exception is thrown.
 *  \param [in] other - the mesh to use as the field support if this mesh can be
 *         considered equal to the current mesh.
 *  \param [in] levOfCheck - defines equality criteria used for mesh comparison. For
 *         it's meaning explanation, see MEDCouplingMesh::checkGeoEquivalWith() which
 *         is used for mesh comparison.
 *  \param [in] precOnMesh - a precision used to compare nodes of the two meshes.
 *         It is used as \a prec parameter of MEDCouplingMesh::checkGeoEquivalWith().
 *  \param [in] eps - a precision used at node renumbering (if needed) to compare field
 *         values at merged nodes. If the values differ more than \a eps, an
 *         exception is thrown.
 *  \throw If the mesh is not set.
 *  \throw If \a other == NULL.
 *  \throw If any of the meshes is not well defined.
 *  \throw If the two meshes do not match.
 *  \throw If field values at merged nodes (if any) deffer more than \a eps.
 *
 *  \ref cpp_mcfielddouble_changeUnderlyingMesh "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_changeUnderlyingMesh "Here is a Python example".
 */
void MEDCouplingFieldDouble::changeUnderlyingMesh(const MEDCouplingMesh *other, int levOfCheck, double precOnMesh, double eps) throw(INTERP_KERNEL::Exception)
{
  if(_mesh==0 || other==0)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::changeUnderlyingMesh : is expected to operate on not null meshes !");
  DataArrayInt *cellCor=0,*nodeCor=0;
  other->checkGeoEquivalWith(_mesh,levOfCheck,precOnMesh,cellCor,nodeCor);
  MEDCouplingAutoRefCountObjectPtr<DataArrayInt> cellCor2(cellCor),nodeCor2(nodeCor);
  if(cellCor)
    renumberCellsWithoutMesh(cellCor->getConstPointer(),false);
  if(nodeCor)
    renumberNodesWithoutMesh(nodeCor->getConstPointer(),nodeCor->getMaxValueInArray()+1,eps);
  setMesh(const_cast<MEDCouplingMesh *>(other));
}

/*!
 * Subtracts another field from \a this one in case when the two fields have different
 * supporting meshes. The subtraction is performed provided that the tho meshes can be
 * considered equal with use of specified equality criteria, else an exception is thrown.
 * If the meshes match, the mesh of \a f is set to \a this field (\a this is permuted if 
 * necessary) and field values are subtracted. No interpolation is done here, only an
 * analysis of two underlying mesh is done to see if the meshes are geometrically
 * equivalent.<br>
 * The job of this method consists in calling
 * \a this->changeUnderlyingMesh() with \a f->getMesh() as the first parameter, and then
 * \a this -= \a f.<br>
 * This method requires that \a f and \a this are coherent (checkCoherency()) and that \a f
 * and \a this are coherent for a merge.<br>
 * "DM" in the method name stands for "different meshes".
 *  \param [in] f - the field to subtract from this.
 *  \param [in] levOfCheck - defines equality criteria used for mesh comparison. For
 *         it's meaning explanation, see MEDCouplingMesh::checkGeoEquivalWith() which
 *         is used for mesh comparison.
 *  \param [in] precOnMesh - a precision used to compare nodes of the two meshes.
 *         It is used as \a prec parameter of MEDCouplingMesh::checkGeoEquivalWith().
 *  \param [in] eps - a precision used at node renumbering (if needed) to compare field
 *         values at merged nodes. If the values differ more than \a eps, an
 *         exception is thrown.
 *  \throw If \a f == NULL.
 *  \throw If any of the meshes is not set or is not well defined.
 *  \throw If the two meshes do not match.
 *  \throw If the two fields are not coherent for merge.
 *  \throw If field values at merged nodes (if any) deffer more than \a eps.
 *
 *  \ref cpp_mcfielddouble_substractInPlaceDM "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_substractInPlaceDM "Here is a Python example".
 *  \sa changeUnderlyingMesh().
 */
void MEDCouplingFieldDouble::substractInPlaceDM(const MEDCouplingFieldDouble *f, int levOfCheck, double precOnMesh, double eps) throw(INTERP_KERNEL::Exception)
{
  checkCoherency();
  if(!f)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::substractInPlaceDM : input field is NULL !");
  f->checkCoherency();
  if(!areCompatibleForMerge(f))
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::substractInPlaceDM : Fields are not compatible ; unable to apply mergeFields on them !");
  changeUnderlyingMesh(f->getMesh(),levOfCheck,precOnMesh,eps);
  operator-=(*f);
}

/*!
 * Merges coincident nodes of the underlying mesh. If some nodes are coincident, the
 * underlying mesh is replaced by a new mesh instance where the coincident nodes are merged.
 *  \param [in] eps - a precision used to compare nodes of the two meshes.
 *  \param [in] epsOnVals - a precision used to compare field
 *         values at merged nodes. If the values differ more than \a epsOnVals, an
 *         exception is thrown.
 *  \return bool - \c true if some nodes have been merged and hence \a this field lies
 *         on another mesh.
 *  \throw If the mesh is of type not inheriting from MEDCouplingPointSet.
 *  \throw If the mesh is not well defined.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If the data array is not set.
 *  \throw If field values at merged nodes (if any) deffer more than \a epsOnVals.
 */
bool MEDCouplingFieldDouble::mergeNodes(double eps, double epsOnVals) throw(INTERP_KERNEL::Exception)
{
  const MEDCouplingPointSet *meshC=dynamic_cast<const MEDCouplingPointSet *>(_mesh);
  if(!meshC)
    throw INTERP_KERNEL::Exception("Invalid support mesh to apply mergeNodes on it : must be a MEDCouplingPointSet one !");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform mergeNodes !");
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingPointSet> meshC2((MEDCouplingPointSet *)meshC->deepCpy());
  bool ret;
  int ret2;
  MEDCouplingAutoRefCountObjectPtr<DataArrayInt> arr=meshC2->mergeNodes(eps,ret,ret2);
  if(!ret)//no nodes have been merged.
    return ret;
  std::vector<DataArrayDouble *> arrays;
  _time_discr->getArrays(arrays);
  for(std::vector<DataArrayDouble *>::const_iterator iter=arrays.begin();iter!=arrays.end();iter++)
    if(*iter)
      _type->renumberValuesOnNodes(epsOnVals,arr->getConstPointer(),meshC2->getNumberOfNodes(),*iter);
  setMesh(meshC2);
  return true;
}

/*!
 * Merges coincident nodes of the underlying mesh. If some nodes are coincident, the
 * underlying mesh is replaced by a new mesh instance where the coincident nodes are
 * merged.<br>
 * In contrast to mergeNodes(), location of merged nodes is changed to be at their barycenter.
 *  \param [in] eps - a precision used to compare nodes of the two meshes.
 *  \param [in] epsOnVals - a precision used to compare field
 *         values at merged nodes. If the values differ more than \a epsOnVals, an
 *         exception is thrown.
 *  \return bool - \c true if some nodes have been merged and hence \a this field lies
 *         on another mesh.
 *  \throw If the mesh is of type not inheriting from MEDCouplingPointSet.
 *  \throw If the mesh is not well defined.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If the data array is not set.
 *  \throw If field values at merged nodes (if any) deffer more than \a epsOnVals.
 */
bool MEDCouplingFieldDouble::mergeNodes2(double eps, double epsOnVals) throw(INTERP_KERNEL::Exception)
{
  const MEDCouplingPointSet *meshC=dynamic_cast<const MEDCouplingPointSet *>(_mesh);
  if(!meshC)
    throw INTERP_KERNEL::Exception("Invalid support mesh to apply mergeNodes on it : must be a MEDCouplingPointSet one !");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform mergeNodes2 !");
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingPointSet> meshC2((MEDCouplingPointSet *)meshC->deepCpy());
  bool ret;
  int ret2;
  MEDCouplingAutoRefCountObjectPtr<DataArrayInt> arr=meshC2->mergeNodes2(eps,ret,ret2);
  if(!ret)//no nodes have been merged.
    return ret;
  std::vector<DataArrayDouble *> arrays;
  _time_discr->getArrays(arrays);
  for(std::vector<DataArrayDouble *>::const_iterator iter=arrays.begin();iter!=arrays.end();iter++)
    if(*iter)
      _type->renumberValuesOnNodes(epsOnVals,arr->getConstPointer(),meshC2->getNumberOfNodes(),*iter);
  setMesh(meshC2);
  return true;
}

/*!
 * Removes from the underlying mesh nodes not used in any cell. If some nodes are
 * removed, the underlying mesh is replaced by a new mesh instance where the unused
 * nodes are removed.<br>
 *  \param [in] epsOnVals - a precision used to compare field
 *         values at merged nodes. If the values differ more than \a epsOnVals, an
 *         exception is thrown.
 *  \return bool - \c true if some nodes have been removed and hence \a this field lies
 *         on another mesh.
 *  \throw If the mesh is of type not inheriting from MEDCouplingPointSet.
 *  \throw If the mesh is not well defined.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If the data array is not set.
 *  \throw If field values at merged nodes (if any) deffer more than \a epsOnVals.
 */
bool MEDCouplingFieldDouble::zipCoords(double epsOnVals) throw(INTERP_KERNEL::Exception)
{
  const MEDCouplingPointSet *meshC=dynamic_cast<const MEDCouplingPointSet *>(_mesh);
  if(!meshC)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::zipCoords : Invalid support mesh to apply zipCoords on it : must be a MEDCouplingPointSet one !");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform zipCoords !");
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingPointSet> meshC2((MEDCouplingPointSet *)meshC->deepCpy());
  int oldNbOfNodes=meshC2->getNumberOfNodes();
  MEDCouplingAutoRefCountObjectPtr<DataArrayInt> arr=meshC2->zipCoordsTraducer();
  if(meshC2->getNumberOfNodes()!=oldNbOfNodes)
    {
      std::vector<DataArrayDouble *> arrays;
      _time_discr->getArrays(arrays);
      for(std::vector<DataArrayDouble *>::const_iterator iter=arrays.begin();iter!=arrays.end();iter++)
        if(*iter)
          _type->renumberValuesOnNodes(epsOnVals,arr->getConstPointer(),meshC2->getNumberOfNodes(),*iter);
      setMesh(meshC2);
      return true;
    }
  return false;
}

/*!
 * Removes duplicates of cells from the understanding mesh. If some cells are
 * removed, the underlying mesh is replaced by a new mesh instance where the cells
 * duplicates are removed.<br>
 *  \param [in] compType - specifies a cell comparison technique. Meaning of its
 *          valid values [0,1,2] is explained in the description of
 *          MEDCouplingUMesh::zipConnectivityTraducer() which is called by this method.
 *  \param [in] epsOnVals - a precision used to compare field
 *         values at merged cells. If the values differ more than \a epsOnVals, an
 *         exception is thrown.
 *  \return bool - \c true if some cells have been removed and hence \a this field lies
 *         on another mesh.
 *  \throw If the mesh is not an instance of MEDCouplingUMesh.
 *  \throw If the mesh is not well defined.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If the data array is not set.
 *  \throw If field values at merged cells (if any) deffer more than \a epsOnVals.
 */
bool MEDCouplingFieldDouble::zipConnectivity(int compType, double epsOnVals) throw(INTERP_KERNEL::Exception)
{
  const MEDCouplingUMesh *meshC=dynamic_cast<const MEDCouplingUMesh *>(_mesh);
  if(!meshC)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::zipConnectivity : Invalid support mesh to apply zipCoords on it : must be a MEDCouplingPointSet one !");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform zipConnectivity !");
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> meshC2((MEDCouplingUMesh *)meshC->deepCpy());
  int oldNbOfCells=meshC2->getNumberOfCells();
  MEDCouplingAutoRefCountObjectPtr<DataArrayInt> arr=meshC2->zipConnectivityTraducer(compType);
  if(meshC2->getNumberOfCells()!=oldNbOfCells)
    {
      std::vector<DataArrayDouble *> arrays;
      _time_discr->getArrays(arrays);
      for(std::vector<DataArrayDouble *>::const_iterator iter=arrays.begin();iter!=arrays.end();iter++)
        if(*iter)
          _type->renumberValuesOnCells(epsOnVals,meshC,arr->getConstPointer(),meshC2->getNumberOfCells(),*iter);
      setMesh(meshC2);
      return true;
    }
  return false;
}

/*!
 * This method calls MEDCouplingUMesh::buildSlice3D method. So this method makes the assumption that underlying mesh exists.
 * For the moment, this method is implemented for fields on cells.
 * 
 * \return a newly allocated field double containing the result that the user should deallocate.
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::extractSlice3D(const double *origin, const double *vec, double eps) const throw(INTERP_KERNEL::Exception)
{
  const MEDCouplingMesh *mesh=getMesh();
  if(!mesh)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::extractSlice3D : underlying mesh is null !");
  if(getTypeOfField()!=ON_CELLS)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::extractSlice3D : only implemented for fields on cells !");
  const MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> umesh(mesh->buildUnstructured());
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=clone(false);
  ret->setMesh(umesh);
  DataArrayInt *cellIds=0;
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> mesh2=umesh->buildSlice3D(origin,vec,eps,cellIds);
  MEDCouplingAutoRefCountObjectPtr<DataArrayInt> cellIds2=cellIds;
  ret->setMesh(mesh2);
  MEDCouplingAutoRefCountObjectPtr<DataArrayInt> tupleIds=computeTupleIdsToSelectFromCellIds(cellIds->begin(),cellIds->end());
  std::vector<DataArrayDouble *> arrays;
  _time_discr->getArrays(arrays);
  int i=0;
  std::vector<DataArrayDouble *> newArr(arrays.size());
  std::vector< MEDCouplingAutoRefCountObjectPtr<DataArrayDouble> > newArr2(arrays.size());
  for(std::vector<DataArrayDouble *>::const_iterator iter=arrays.begin();iter!=arrays.end();iter++,i++)
    {
      if(*iter)
        {
          newArr2[i]=(*iter)->selectByTupleIdSafe(cellIds->begin(),cellIds->end());
          newArr[i]=newArr2[i];
        }
    }
  ret->setArrays(newArr);
  return ret.retn();
}

/*!
 * Divides every cell of the underlying mesh into simplices (triangles in 2D and
 * tetrahedra in 3D). If some cells are divided, the underlying mesh is replaced by a new
 * mesh instance containing the simplices.<br> 
 *  \param [in] policy - specifies a pattern used for splitting. For its description, see
 *          MEDCouplingUMesh::simplexize().
 *  \return bool - \c true if some cells have been divided and hence \a this field lies
 *         on another mesh.
 *  \throw If \a policy has an invalid value. For valid values, see the description of 
 *         MEDCouplingUMesh::simplexize().
 *  \throw If MEDCouplingMesh::simplexize() is not applicable to the underlying mesh.
 *  \throw If the mesh is not well defined.
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If the data array is not set.
 */
bool MEDCouplingFieldDouble::simplexize(int policy) throw(INTERP_KERNEL::Exception)
{
  if(!_mesh)
    throw INTERP_KERNEL::Exception("No underlying mesh on this field to perform simplexize !");
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform simplexize !");
  int oldNbOfCells=_mesh->getNumberOfCells();
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingMesh> meshC2(_mesh->deepCpy());
  MEDCouplingAutoRefCountObjectPtr<DataArrayInt> arr=meshC2->simplexize(policy);
  int newNbOfCells=meshC2->getNumberOfCells();
  if(oldNbOfCells==newNbOfCells)
    return false;
  std::vector<DataArrayDouble *> arrays;
  _time_discr->getArrays(arrays);
  for(std::vector<DataArrayDouble *>::const_iterator iter=arrays.begin();iter!=arrays.end();iter++)
    if(*iter)
      _type->renumberValuesOnCellsR(_mesh,arr->getConstPointer(),arr->getNbOfElems(),*iter);
  setMesh(meshC2);
  return true;
}

/*!
 * Creates a new MEDCouplingFieldDouble filled with the doubly contracted product of
 * every tensor of \a this 6-componental field.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble, whose
 *          each tuple is calculated from the tuple <em>(t)</em> of \a this field as
 *          follows: \f$ t[0]^2+t[1]^2+t[2]^2+2*t[3]^2+2*t[4]^2+2*t[5]^2\f$. 
 *          This new field lies on the same mesh as \a this one. The caller is to delete
 *          this field using decrRef() as it is no more needed.
 *  \throw If \a this->getNumberOfComponents() != 6.
 *  \throw If the spatial discretization of \a this field is NULL.
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::doublyContractedProduct() const throw(INTERP_KERNEL::Exception)
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform doublyContractedProduct !");
  MEDCouplingTimeDiscretization *td=_time_discr->doublyContractedProduct();
  td->copyTinyAttrFrom(*_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(getNature(),td,_type->clone());
  ret->setName("DoublyContractedProduct");
  ret->setMesh(getMesh());
  return ret.retn();
}

/*!
 * Creates a new MEDCouplingFieldDouble filled with the determinant of a square
 * matrix defined by every tuple of \a this field, having either 4, 6 or 9 components.
 * The case of 6 components corresponds to that of the upper triangular matrix. 
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble, whose
 *          each tuple is the determinant of matrix of the corresponding tuple of \a this 
 *          field. This new field lies on the same mesh as \a this one. The caller is to 
 *          delete this field using decrRef() as it is no more needed.
 *  \throw If \a this->getNumberOfComponents() is not in [4,6,9].
 *  \throw If the spatial discretization of \a this field is NULL.
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::determinant() const throw(INTERP_KERNEL::Exception)
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform determinant !");
  MEDCouplingTimeDiscretization *td=_time_discr->determinant();
  td->copyTinyAttrFrom(*_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(getNature(),td,_type->clone());
  ret->setName("Determinant");
  ret->setMesh(getMesh());
  return ret.retn();
}


/*!
 * Creates a new MEDCouplingFieldDouble with 3 components filled with 3 eigenvalues of
 * an upper triangular matrix defined by every tuple of \a this 6-componental field.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble, 
 *          having 3 components, whose each tuple contains the eigenvalues of the matrix of
 *          corresponding tuple of \a this field. This new field lies on the same mesh as
 *          \a this one. The caller is to delete this field using decrRef() as it is no
 *          more needed.  
 *  \throw If \a this->getNumberOfComponents() != 6.
 *  \throw If the spatial discretization of \a this field is NULL.
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::eigenValues() const throw(INTERP_KERNEL::Exception)
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform eigenValues !");
  MEDCouplingTimeDiscretization *td=_time_discr->eigenValues();
  td->copyTinyAttrFrom(*_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(getNature(),td,_type->clone());
  ret->setName("EigenValues");
  ret->setMesh(getMesh());
  return ret.retn();
}

/*!
 * Creates a new MEDCouplingFieldDouble with 9 components filled with 3 eigenvectors of
 * an upper triangular matrix defined by every tuple of \a this 6-componental field.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble, 
 *          having 9 components, whose each tuple contains the eigenvectors of the matrix of
 *          corresponding tuple of \a this field. This new field lies on the same mesh as
 *          \a this one. The caller is to delete this field using decrRef() as it is no
 *          more needed.  
 *  \throw If \a this->getNumberOfComponents() != 6.
 *  \throw If the spatial discretization of \a this field is NULL.
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::eigenVectors() const throw(INTERP_KERNEL::Exception)
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform eigenVectors !");
  MEDCouplingTimeDiscretization *td=_time_discr->eigenVectors();
  td->copyTinyAttrFrom(*_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(getNature(),td,_type->clone());
  ret->setName("EigenVectors");
  ret->setMesh(getMesh());
  return ret.retn();
}

/*!
 * Creates a new MEDCouplingFieldDouble filled with the inverse matrix of
 * a matrix defined by every tuple of \a this field having either 4, 6 or 9
 * components. The case of 6 components corresponds to that of the upper triangular
 * matrix.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble, 
 *          having the same number of components as \a this one, whose each tuple
 *          contains the inverse matrix of the matrix of corresponding tuple of \a this
 *          field. This new field lies on the same mesh as \a this one. The caller is to
 *          delete this field using decrRef() as it is no more needed.  
 *  \throw If \a this->getNumberOfComponents() is not in [4,6,9].
 *  \throw If the spatial discretization of \a this field is NULL.
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::inverse() const throw(INTERP_KERNEL::Exception)
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform inverse !");
  MEDCouplingTimeDiscretization *td=_time_discr->inverse();
  td->copyTinyAttrFrom(*_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(getNature(),td,_type->clone());
  ret->setName("Inversion");
  ret->setMesh(getMesh());
  return ret.retn();
}

/*!
 * Creates a new MEDCouplingFieldDouble filled with the trace of
 * a matrix defined by every tuple of \a this field having either 4, 6 or 9
 * components. The case of 6 components corresponds to that of the upper triangular
 * matrix.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble, 
 *          having 1 component, whose each tuple is the trace of the matrix of
 *          corresponding tuple of \a this field.
 *          This new field lies on the same mesh as \a this one. The caller is to
 *          delete this field using decrRef() as it is no more needed.  
 *  \throw If \a this->getNumberOfComponents() is not in [4,6,9].
 *  \throw If the spatial discretization of \a this field is NULL.
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::trace() const throw(INTERP_KERNEL::Exception)
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform trace !");
  MEDCouplingTimeDiscretization *td=_time_discr->trace();
  td->copyTinyAttrFrom(*_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(getNature(),td,_type->clone());
  ret->setName("Trace");
  ret->setMesh(getMesh());
  return ret.retn();
}

/*!
 * Creates a new MEDCouplingFieldDouble filled with the stress deviator tensor of
 * a stress tensor defined by every tuple of \a this 6-componental field.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble, 
 *          having same number of components and tuples as \a this field,
 *          whose each tuple contains the stress deviator tensor of the stress tensor of
 *          corresponding tuple of \a this field. This new field lies on the same mesh as
 *          \a this one. The caller is to delete this field using decrRef() as it is no
 *          more needed.  
 *  \throw If \a this->getNumberOfComponents() != 6.
 *  \throw If the spatial discretization of \a this field is NULL.
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::deviator() const throw(INTERP_KERNEL::Exception)
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform deviator !");
  MEDCouplingTimeDiscretization *td=_time_discr->deviator();
  td->copyTinyAttrFrom(*_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(getNature(),td,_type->clone());
  ret->setName("Deviator");
  ret->setMesh(getMesh());
  return ret.retn();
}

/*!
 * Creates a new MEDCouplingFieldDouble filled with the magnitude of
 * every vector of \a this field.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble, 
 *          having one component, whose each tuple is the magnitude of the vector
 *          of corresponding tuple of \a this field. This new field lies on the
 *          same mesh as \a this one. The caller is to
 *          delete this field using decrRef() as it is no more needed.  
 *  \throw If the spatial discretization of \a this field is NULL.
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::magnitude() const throw(INTERP_KERNEL::Exception)
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform magnitude !");
  MEDCouplingTimeDiscretization *td=_time_discr->magnitude();
  td->copyTinyAttrFrom(*_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(getNature(),td,_type->clone());
  ret->setName("Magnitude");
  ret->setMesh(getMesh());
  return ret.retn();
}

/*!
 * Creates a new scalar MEDCouplingFieldDouble filled with the maximal value among
 * values of every tuple of \a this field.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble.
 *          This new field lies on the same mesh as \a this one. The caller is to
 *          delete this field using decrRef() as it is no more needed.  
 *  \throw If the spatial discretization of \a this field is NULL.
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::maxPerTuple() const throw(INTERP_KERNEL::Exception)
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform maxPerTuple !");
  MEDCouplingTimeDiscretization *td=_time_discr->maxPerTuple();
  td->copyTinyAttrFrom(*_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(getNature(),td,_type->clone());
  std::ostringstream oss;
  oss << "Max_" << getName();
  ret->setName(oss.str().c_str());
  ret->setMesh(getMesh());
  return ret.retn();
}

/*!
 * Changes number of components in \a this field. If \a newNbOfComp is less
 * than \a this->getNumberOfComponents() then each tuple
 * is truncated to have \a newNbOfComp components, keeping first components. If \a
 * newNbOfComp is more than \a this->getNumberOfComponents() then 
 * each tuple is populated with \a dftValue to have \a newNbOfComp components.  
 *  \param [in] newNbOfComp - number of components for the new field to have.
 *  \param [in] dftValue - value assigned to new values added to \a this field.
 *  \throw If \a this is not allocated.
 */
void MEDCouplingFieldDouble::changeNbOfComponents(int newNbOfComp, double dftValue) throw(INTERP_KERNEL::Exception)
{
  _time_discr->changeNbOfComponents(newNbOfComp,dftValue);
}

/*!
 * Creates a new MEDCouplingFieldDouble composed of selected components of \a this field.
 * The new MEDCouplingFieldDouble has the same number of tuples but includes components
 * specified by \a compoIds parameter. So that getNbOfElems() of the result field
 * can be either less, same or more than \a this->getNumberOfValues().
 *  \param [in] compoIds - sequence of zero based indices of components to include
 *              into the new field.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble that the caller
 *          is to delete using decrRef() as it is no more needed.
 *  \throw If a component index (\a i) is not valid: 
 *         \a i < 0 || \a i >= \a this->getNumberOfComponents().
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::keepSelectedComponents(const std::vector<int>& compoIds) const throw(INTERP_KERNEL::Exception)
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform keepSelectedComponents !");
  MEDCouplingTimeDiscretization *td=_time_discr->keepSelectedComponents(compoIds);
  td->copyTinyAttrFrom(*_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(getNature(),td,_type->clone());
  ret->setName(getName());
  ret->setMesh(getMesh());
  return ret.retn();
}


/*!
 * Copy all components in a specified order from another field.
 * The number of tuples in \a this and the other field can be different.
 *  \param [in] f - the field to copy data from.
 *  \param [in] compoIds - sequence of zero based indices of components, data of which is
 *              to be copied.
 *  \throw If the two fields have different number of data arrays.
 *  \throw If a data array is set in one of fields and is not set in the other.
 *  \throw If \a compoIds.size() != \a a->getNumberOfComponents().
 *  \throw If \a compoIds[i] < 0 or \a compoIds[i] > \a this->getNumberOfComponents().
 */
void MEDCouplingFieldDouble::setSelectedComponents(const MEDCouplingFieldDouble *f, const std::vector<int>& compoIds) throw(INTERP_KERNEL::Exception)
{
  _time_discr->setSelectedComponents(f->_time_discr,compoIds);
}

/*!
 * Sorts value within every tuple of \a this field.
 *  \param [in] asc - if \a true, the values are sorted in ascending order, else,
 *              in descending order.
 *  \throw If a data array is not allocated.
 */
void MEDCouplingFieldDouble::sortPerTuple(bool asc) throw(INTERP_KERNEL::Exception)
{
  _time_discr->sortPerTuple(asc);
}

/*!
 * Creates a new MEDCouplingFieldDouble by concatenating two given fields.
 * Values of
 * the first field precede values of the second field within the result field.
 *  \param [in] f1 - the first field.
 *  \param [in] f2 - the second field.
 *  \return MEDCouplingFieldDouble * - the result field. It is a new instance of
 *          MEDCouplingFieldDouble. The caller is to delete this mesh using decrRef() 
 *          as it is no more needed.
 *  \throw If the fields are not compatible for the merge.
 *  \throw If \a f2->getMesh() == NULL.
 *  \throw If the spatial discretization of \a f1 is NULL.
 *  \throw If the time discretization of \a f1 is NULL.
 *
 *  \ref cpp_mcfielddouble_MergeFields "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_MergeFields "Here is a Python example".
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::MergeFields(const MEDCouplingFieldDouble *f1, const MEDCouplingFieldDouble *f2) throw(INTERP_KERNEL::Exception)
{
  if(!f1->areCompatibleForMerge(f2))
    throw INTERP_KERNEL::Exception("Fields are not compatible ; unable to apply MergeFields on them !");
  const MEDCouplingMesh *m1=f1->getMesh();
  const MEDCouplingMesh *m2=f2->getMesh();
  if(!m1)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::MergeFields : no underlying mesh of f1 !");
  if(!f1->_time_discr)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::MergeFields : no time discr of f1 !");
  if(!f1->_type)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::MergeFields : no spatial discr of f1 !");
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingMesh> m=m1->mergeMyselfWith(m2);
  MEDCouplingTimeDiscretization *td=f1->_time_discr->aggregate(f2->_time_discr);
  td->copyTinyAttrFrom(*f1->_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(f1->getNature(),td,f1->_type->clone());
  ret->setMesh(m);
  ret->setName(f1->getName());
  ret->setDescription(f1->getDescription());
  return ret.retn();
}

/*!
 * Creates a new MEDCouplingFieldDouble by concatenating all given fields.
 * Values of the *i*-th field precede values of the (*i*+1)-th field within the result.
 * If there is only one field in \a a, a deepCopy() (except time information of mesh and
 * field) of the field is returned. 
 * Generally speaking the first field in \a a is used to assign tiny attributes of the
 * returned field. 
 *  \param [in] a - a vector of fields (MEDCouplingFieldDouble) to concatenate.
 *  \return MEDCouplingFieldDouble * - the result field. It is a new instance of
 *          MEDCouplingFieldDouble. The caller is to delete this mesh using decrRef() 
 *          as it is no more needed.
 *  \throw If \a a is empty.
 *  \throw If the fields are not compatible for the merge.
 *  \throw If \a a[ i ]->getMesh() == NULL.
 *
 *  \ref cpp_mcfielddouble_MergeFields "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_MergeFields "Here is a Python example".
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::MergeFields(const std::vector<const MEDCouplingFieldDouble *>& a) throw(INTERP_KERNEL::Exception)
{
  if(a.size()<1)
    throw INTERP_KERNEL::Exception("FieldDouble::MergeFields : size of array must be >= 1 !");
  std::vector< MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> > ms(a.size());
  std::vector< const MEDCouplingUMesh *> ms2(a.size());
  std::vector< const MEDCouplingTimeDiscretization *> tds(a.size());
  std::vector<const MEDCouplingFieldDouble *>::const_iterator it=a.begin();
  const MEDCouplingFieldDouble *ref=(*it++);
  if(!ref)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::MergeFields : presence of NULL instance in first place of input vector !");
  for(;it!=a.end();it++)
    if(!ref->areCompatibleForMerge(*it))
      throw INTERP_KERNEL::Exception("Fields are not compatible ; unable to apply MergeFields on them !");
  for(int i=0;i<(int)a.size();i++)
    {
      if(!a[i]->getMesh())
        throw INTERP_KERNEL::Exception("MergeFields : A field as no underlying mesh !");
      ms[i]=a[i]->getMesh()->buildUnstructured();
      ms2[i]=ms[i];
      tds[i]=a[i]->_time_discr;
    }
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingUMesh> m=MEDCouplingUMesh::MergeUMeshes(ms2);
  m->setName(ms2[0]->getName()); m->setDescription(ms2[0]->getDescription());
  MEDCouplingTimeDiscretization *td=tds[0]->aggregate(tds);
  td->copyTinyAttrFrom(*(a[0]->_time_discr));
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(a[0]->getNature(),td,a[0]->_type->clone());
  ret->setMesh(m);
  ret->setName(a[0]->getName());
  ret->setDescription(a[0]->getDescription());
  return ret.retn();
}

/*!
 * Creates a new MEDCouplingFieldDouble by concatenating components of two given fields.
 * The number of components in the result field is a sum of the number of components of
 * given fields. The number of tuples in the result field is same as that of each of given
 * arrays.
 * Number of tuples in the given fields must be the same.
 *  \param [in] f1 - a field to include in the result field.
 *  \param [in] f2 - another field to include in the result field.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble.
 *          The caller is to delete this result field using decrRef() as it is no more
 *          needed.
 *  \throw If the fields are not compatible for a meld (areCompatibleForMeld()).
 *  \throw If any of data arrays is not allocated.
 *  \throw If \a f1->getNumberOfTuples() != \a f2->getNumberOfTuples()
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::MeldFields(const MEDCouplingFieldDouble *f1, const MEDCouplingFieldDouble *f2) throw(INTERP_KERNEL::Exception)
{
  if(!f1->areCompatibleForMeld(f2))
    throw INTERP_KERNEL::Exception("Fields are not compatible ; unable to apply MeldFields on them !");
  MEDCouplingTimeDiscretization *td=f1->_time_discr->meld(f2->_time_discr);
  td->copyTinyAttrFrom(*f1->_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(f1->getNature(),td,f1->_type->clone());
  ret->setMesh(f1->getMesh());
  return ret.retn();
}

/*!
 * Returns a new MEDCouplingFieldDouble containing a dot product of two given fields, 
 * so that the i-th tuple of the result field is a sum of products of j-th components of
 * i-th tuples of given fields (\f$ f_i = \sum_{j=1}^n f1_j * f2_j \f$). 
 * Number of tuples and components in the given fields must be the same.
 *  \param [in] f1 - a given field.
 *  \param [in] f2 - another given field.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble.
 *          The caller is to delete this result field using decrRef() as it is no more
 *          needed.
 *  \throw If either \a f1 or \a f2 is NULL.
 *  \throw If the fields are not strictly compatible (areStrictlyCompatible()), i.e. they
 *         differ not only in values.
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::DotFields(const MEDCouplingFieldDouble *f1, const MEDCouplingFieldDouble *f2) throw(INTERP_KERNEL::Exception)
{
  if(!f1)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::DotFields : input field is NULL !");
  if(!f1->areStrictlyCompatible(f2))
    throw INTERP_KERNEL::Exception("Fields are not compatible ; unable to apply DotFields on them !");
  MEDCouplingTimeDiscretization *td=f1->_time_discr->dot(f2->_time_discr);
  td->copyTinyAttrFrom(*f1->_time_discr);
  MEDCouplingFieldDouble *ret=new MEDCouplingFieldDouble(f1->getNature(),td,f1->_type->clone());
  ret->setMesh(f1->getMesh());
  return ret;
}

/*!
 * Returns a new MEDCouplingFieldDouble containing a cross product of two given fields, 
 * so that
 * the i-th tuple of the result field is a 3D vector which is a cross
 * product of two vectors defined by the i-th tuples of given fields.
 * Number of tuples in the given fields must be the same.
 * Number of components in the given fields must be 3.
 *  \param [in] f1 - a given field.
 *  \param [in] f2 - another given field.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble.
 *          The caller is to delete this result field using decrRef() as it is no more
 *          needed.
 *  \throw If either \a f1 or \a f2 is NULL.
 *  \throw If \a f1->getNumberOfComponents() != 3
 *  \throw If \a f2->getNumberOfComponents() != 3
 *  \throw If the fields are not strictly compatible (areStrictlyCompatible()), i.e. they
 *         differ not only in values.
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::CrossProductFields(const MEDCouplingFieldDouble *f1, const MEDCouplingFieldDouble *f2) throw(INTERP_KERNEL::Exception)
{
  if(!f1)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::CrossProductFields : input field is NULL !");
  if(!f1->areStrictlyCompatible(f2))
    throw INTERP_KERNEL::Exception("Fields are not compatible ; unable to apply CrossProductFields on them !");
  MEDCouplingTimeDiscretization *td=f1->_time_discr->crossProduct(f2->_time_discr);
  td->copyTinyAttrFrom(*f1->_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(f1->getNature(),td,f1->_type->clone());
  ret->setMesh(f1->getMesh());
  return ret.retn();
}

/*!
 * Returns a new MEDCouplingFieldDouble containing maximal values of two given fields.
 * Number of tuples and components in the given fields must be the same.
 *  \param [in] f1 - a field to compare values with another one.
 *  \param [in] f2 - another field to compare values with the first one.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble.
 *          The caller is to delete this result field using decrRef() as it is no more
 *          needed.
 *  \throw If either \a f1 or \a f2 is NULL.
 *  \throw If the fields are not strictly compatible (areStrictlyCompatible()), i.e. they
 *         differ not only in values.
 *
 *  \ref cpp_mcfielddouble_MaxFields "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_MaxFields "Here is a Python example".
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::MaxFields(const MEDCouplingFieldDouble *f1, const MEDCouplingFieldDouble *f2) throw(INTERP_KERNEL::Exception)
{
  if(!f1)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::MaxFields : input field is NULL !");
  if(!f1->areStrictlyCompatible(f2))
    throw INTERP_KERNEL::Exception("Fields are not compatible ; unable to apply MaxFields on them !");
  MEDCouplingTimeDiscretization *td=f1->_time_discr->max(f2->_time_discr);
  td->copyTinyAttrFrom(*f1->_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(f1->getNature(),td,f1->_type->clone());
  ret->setMesh(f1->getMesh());
  return ret.retn();
}

/*!
 * Returns a new MEDCouplingFieldDouble containing minimal values of two given fields.
 * Number of tuples and components in the given fields must be the same.
 *  \param [in] f1 - a field to compare values with another one.
 *  \param [in] f2 - another field to compare values with the first one.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble.
 *          The caller is to delete this result field using decrRef() as it is no more
 *          needed.
 *  \throw If either \a f1 or \a f2 is NULL.
 *  \throw If the fields are not strictly compatible (areStrictlyCompatible()), i.e. they
 *         differ not only in values.
 *
 *  \ref cpp_mcfielddouble_MaxFields "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_MaxFields "Here is a Python example".
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::MinFields(const MEDCouplingFieldDouble *f1, const MEDCouplingFieldDouble *f2) throw(INTERP_KERNEL::Exception)
{
  if(!f1)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::MinFields : input field is NULL !");
  if(!f1->areStrictlyCompatible(f2))
    throw INTERP_KERNEL::Exception("Fields are not compatible ; unable to apply MinFields on them !");
  MEDCouplingTimeDiscretization *td=f1->_time_discr->min(f2->_time_discr);
  td->copyTinyAttrFrom(*f1->_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(f1->getNature(),td,f1->_type->clone());
  ret->setMesh(f1->getMesh());
  return ret.retn();
}

/*!
 * Returns a copy of \a this field in which sign of all values is reversed.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble
 *         containing the same number of tuples and components as \a this field. 
 *         The caller is to delete this result field using decrRef() as it is no more
 *         needed. 
 *  \throw If the spatial discretization of \a this field is NULL.
 *  \throw If a data array is not allocated.
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::negate() const throw(INTERP_KERNEL::Exception)
{
  if(!((const MEDCouplingFieldDiscretization *)_type))
    throw INTERP_KERNEL::Exception("No spatial discretization underlying this field to perform negate !");
  MEDCouplingTimeDiscretization *td=_time_discr->negate();
  td->copyTinyAttrFrom(*_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(getNature(),td,_type->clone());
  ret->setMesh(getMesh());
  return ret.retn();
}

/*!
 * Returns a new MEDCouplingFieldDouble containing sum values of corresponding values of
 * two given fields ( _f_ [ i, j ] = _f1_ [ i, j ] + _f2_ [ i, j ] ).
 * Number of tuples and components in the given fields must be the same.
 *  \param [in] f1 - a field to sum up.
 *  \param [in] f2 - another field to sum up.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble.
 *          The caller is to delete this result field using decrRef() as it is no more
 *          needed.
 *  \throw If either \a f1 or \a f2 is NULL.
 *  \throw If the fields are not strictly compatible (areStrictlyCompatible()), i.e. they
 *         differ not only in values.
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::AddFields(const MEDCouplingFieldDouble *f1, const MEDCouplingFieldDouble *f2) throw(INTERP_KERNEL::Exception)
{
  if(!f1)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::AddFields : input field is NULL !");
  if(!f1->areStrictlyCompatible(f2))
    throw INTERP_KERNEL::Exception("Fields are not compatible ; unable to apply AddFields on them !");
  MEDCouplingTimeDiscretization *td=f1->_time_discr->add(f2->_time_discr);
  td->copyTinyAttrFrom(*f1->_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(f1->getNature(),td,f1->_type->clone());
  ret->setMesh(f1->getMesh());
  return ret.retn();
}

/*!
 * Adds values of another MEDCouplingFieldDouble to values of \a this one
 * ( _this_ [ i, j ] += _other_ [ i, j ] ) using DataArrayDouble::addEqual().
 * The two fields must have same number of tuples, components and same underlying mesh.
 *  \param [in] other - the field to add to \a this one.
 *  \return const MEDCouplingFieldDouble & - a reference to \a this field.
 *  \throw If \a other is NULL.
 *  \throw If the fields are not strictly compatible (areStrictlyCompatible()), i.e. they
 *         differ not only in values.
 */
const MEDCouplingFieldDouble &MEDCouplingFieldDouble::operator+=(const MEDCouplingFieldDouble& other) throw(INTERP_KERNEL::Exception)
{
  if(!areStrictlyCompatible(&other))
    throw INTERP_KERNEL::Exception("Fields are not compatible ; unable to apply += on them !");
  _time_discr->addEqual(other._time_discr);
  return *this;
}

/*!
 * Returns a new MEDCouplingFieldDouble containing subtraction of corresponding values of
 * two given fields ( _f_ [ i, j ] = _f1_ [ i, j ] - _f2_ [ i, j ] ).
 * Number of tuples and components in the given fields must be the same.
 *  \param [in] f1 - a field to subtract from.
 *  \param [in] f2 - a field to subtract.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble.
 *          The caller is to delete this result field using decrRef() as it is no more
 *          needed.
 *  \throw If either \a f1 or \a f2 is NULL.
 *  \throw If the fields are not strictly compatible (areStrictlyCompatible()), i.e. they
 *         differ not only in values.
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::SubstractFields(const MEDCouplingFieldDouble *f1, const MEDCouplingFieldDouble *f2) throw(INTERP_KERNEL::Exception)
{
  if(!f1)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::SubstractFields : input field is NULL !");
  if(!f1->areStrictlyCompatible(f2))
    throw INTERP_KERNEL::Exception("Fields are not compatible ; unable to apply SubstractFields on them !");
  MEDCouplingTimeDiscretization *td=f1->_time_discr->substract(f2->_time_discr);
  td->copyTinyAttrFrom(*f1->_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(f1->getNature(),td,f1->_type->clone());
  ret->setMesh(f1->getMesh());
  return ret.retn();
}

/*!
 * Subtract values of another MEDCouplingFieldDouble from values of \a this one
 * ( _this_ [ i, j ] -= _other_ [ i, j ] ) using DataArrayDouble::substractEqual().
 * The two fields must have same number of tuples, components and same underlying mesh.
 *  \param [in] other - the field to subtract from \a this one.
 *  \return const MEDCouplingFieldDouble & - a reference to \a this field.
 *  \throw If \a other is NULL.
 *  \throw If the fields are not strictly compatible (areStrictlyCompatible()), i.e. they
 *         differ not only in values.
 */
const MEDCouplingFieldDouble &MEDCouplingFieldDouble::operator-=(const MEDCouplingFieldDouble& other) throw(INTERP_KERNEL::Exception)
{
  if(!areStrictlyCompatible(&other))
    throw INTERP_KERNEL::Exception("Fields are not compatible ; unable to apply -= on them !");
  _time_discr->substractEqual(other._time_discr);
  return *this;
}

/*!
 * Returns a new MEDCouplingFieldDouble containing product values of
 * two given fields. There are 2 valid cases.
 * 1.  The fields have same number of tuples and components. Then each value of
 *   the result field (_f_) is a product of the corresponding values of _f1_ and
 *   _f2_, i.e. _f_ [ i, j ] = _f1_ [ i, j ] * _f2_ [ i, j ].
 * 2.  The fields have same number of tuples and one field, say _f2_, has one
 *   component. Then
 *   _f_ [ i, j ] = _f1_ [ i, j ] * _f2_ [ i, 0 ].
 *
 * The two fields must have same number of tuples and same underlying mesh.
 *  \param [in] f1 - a factor field.
 *  \param [in] f2 - another factor field.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble.
 *          The caller is to delete this result field using decrRef() as it is no more
 *          needed.
 *  \throw If either \a f1 or \a f2 is NULL.
 *  \throw If the fields are not compatible for production (areCompatibleForMul()),
 *         i.e. they differ not only in values and possibly number of components.
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::MultiplyFields(const MEDCouplingFieldDouble *f1, const MEDCouplingFieldDouble *f2) throw(INTERP_KERNEL::Exception)
{
  if(!f1)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::MultiplyFields : input field is NULL !");
  if(!f1->areCompatibleForMul(f2))
    throw INTERP_KERNEL::Exception("Fields are not compatible ; unable to apply MultiplyFields on them !");
  MEDCouplingTimeDiscretization *td=f1->_time_discr->multiply(f2->_time_discr);
  td->copyTinyAttrFrom(*f1->_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(f1->getNature(),td,f1->_type->clone());
  ret->setMesh(f1->getMesh());
  return ret.retn();
}

/*!
 * Multiply values of another MEDCouplingFieldDouble to values of \a this one
 * using DataArrayDouble::multiplyEqual().
 * The two fields must have same number of tuples and same underlying mesh.
 * There are 2 valid cases.
 * 1.  The fields have same number of components. Then each value of
 *   \a other is multiplied to the corresponding value of \a this field, i.e.
 *   _this_ [ i, j ] *= _other_ [ i, j ].
 * 2. The _other_ field has one component. Then
 *   _this_ [ i, j ] *= _other_ [ i, 0 ].
 *
 * The two fields must have same number of tuples and same underlying mesh.
 *  \param [in] other - an field to multiply to \a this one.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble.
 *          The caller is to delete this result field using decrRef() as it is no more
 *          needed.
 *  \throw If \a other is NULL.
 *  \throw If the fields are not strictly compatible for production
 *         (areCompatibleForMul()),
 *         i.e. they differ not only in values and possibly in number of components.
 */
const MEDCouplingFieldDouble &MEDCouplingFieldDouble::operator*=(const MEDCouplingFieldDouble& other) throw(INTERP_KERNEL::Exception)
{
  if(!areCompatibleForMul(&other))
    throw INTERP_KERNEL::Exception("Fields are not compatible ; unable to apply *= on them !");
  _time_discr->multiplyEqual(other._time_discr);
  return *this;
}

/*!
 * Returns a new MEDCouplingFieldDouble containing division of two given fields.
 * There are 2 valid cases.
 * 1.  The fields have same number of tuples and components. Then each value of
 *   the result field (_f_) is a division of the corresponding values of \a f1 and
 *   \a f2, i.e. _f_ [ i, j ] = _f1_ [ i, j ] / _f2_ [ i, j ].
 * 2.  The fields have same number of tuples and _f2_ has one component. Then
 *   _f_ [ i, j ] = _f1_ [ i, j ] / _f2_ [ i, 0 ].
 *
 *  \param [in] f1 - a numerator field.
 *  \param [in] f2 - a denominator field.
 *  \return MEDCouplingFieldDouble * - the new instance of MEDCouplingFieldDouble.
 *          The caller is to delete this result field using decrRef() as it is no more
 *          needed.
 *  \throw If either \a f1 or \a f2 is NULL.
 *  \throw If the fields are not compatible for division (areCompatibleForDiv()),
 *         i.e. they differ not only in values and possibly in number of components.
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::DivideFields(const MEDCouplingFieldDouble *f1, const MEDCouplingFieldDouble *f2) throw(INTERP_KERNEL::Exception)
{
  if(!f1)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::DivideFields : input field is NULL !");
  if(!f1->areCompatibleForDiv(f2))
    throw INTERP_KERNEL::Exception("Fields are not compatible ; unable to apply DivideFields on them !");
  MEDCouplingTimeDiscretization *td=f1->_time_discr->divide(f2->_time_discr);
  td->copyTinyAttrFrom(*f1->_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(f1->getNature(),td,f1->_type->clone());
  ret->setMesh(f1->getMesh());
  return ret.retn();
}

/*!
 * Divide values of \a this field by values of another MEDCouplingFieldDouble
 * using DataArrayDouble::divideEqual().
 * The two fields must have same number of tuples and same underlying mesh.
 * There are 2 valid cases.
 * 1.  The fields have same number of components. Then each value of
 *    \a this field is divided by the corresponding value of \a other one, i.e.
 *   _this_ [ i, j ] /= _other_ [ i, j ].
 * 2.  The \a other field has one component. Then
 *   _this_ [ i, j ] /= _other_ [ i, 0 ].
 *
 *  \warning No check of division by zero is performed!
 *  \param [in] other - an field to divide \a this one by.
 *  \throw If \a other is NULL.
 *  \throw If the fields are not compatible for division (areCompatibleForDiv()),
 *         i.e. they differ not only in values and possibly in number of components.
 */
const MEDCouplingFieldDouble &MEDCouplingFieldDouble::operator/=(const MEDCouplingFieldDouble& other) throw(INTERP_KERNEL::Exception)
{
  if(!areCompatibleForDiv(&other))
    throw INTERP_KERNEL::Exception("Fields are not compatible ; unable to apply /= on them !");
  _time_discr->divideEqual(other._time_discr);
  return *this;
}

/*!
 * Directly called by MEDCouplingFieldDouble::operator^.
 * 
 * \sa MEDCouplingFieldDouble::operator^
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::PowFields(const MEDCouplingFieldDouble *f1, const MEDCouplingFieldDouble *f2) throw(INTERP_KERNEL::Exception)
{
  if(!f1)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::PowFields : input field is NULL !");
  if(!f1->areCompatibleForMul(f2))
    throw INTERP_KERNEL::Exception("Fields are not compatible ; unable to apply PowFields on them !");
  MEDCouplingTimeDiscretization *td=f1->_time_discr->pow(f2->_time_discr);
  td->copyTinyAttrFrom(*f1->_time_discr);
  MEDCouplingAutoRefCountObjectPtr<MEDCouplingFieldDouble> ret=new MEDCouplingFieldDouble(f1->getNature(),td,f1->_type->clone());
  ret->setMesh(f1->getMesh());
  return ret.retn();
}

/*!
 * Directly call MEDCouplingFieldDouble::PowFields static method.
 * 
 * \sa MEDCouplingFieldDouble::PowFields
 */
MEDCouplingFieldDouble *MEDCouplingFieldDouble::operator^(const MEDCouplingFieldDouble& other) const throw(INTERP_KERNEL::Exception)
{
  return PowFields(this,&other);
}

const MEDCouplingFieldDouble &MEDCouplingFieldDouble::operator^=(const MEDCouplingFieldDouble& other) throw(INTERP_KERNEL::Exception)
{
  if(!areCompatibleForDiv(&other))
    throw INTERP_KERNEL::Exception("Fields are not compatible ; unable to apply /= on them !");
  _time_discr->powEqual(other._time_discr);
  return *this;
}

/*!
 * Writes the field series \a fs and the mesh the fields lie on in the VTK file \a fileName.
 * If \a fs is empty no file is written.
 * The result file is valid provided that no exception is thrown.
 * \warning All the fields must be named and lie on the same non NULL mesh.
 *  \param [in] fileName - the name of a VTK file to write in.
 *  \param [in] fs - the fields to write.
 *  \throw If \a fs[ 0 ] == NULL.
 *  \throw If the fields lie not on the same mesh.
 *  \throw If the mesh is not set.
 *  \throw If any of the fields has no name.
 *
 *  \ref cpp_mcfielddouble_WriteVTK "Here is a C++ example".<br>
 *  \ref  py_mcfielddouble_WriteVTK "Here is a Python example".
 */
void MEDCouplingFieldDouble::WriteVTK(const char *fileName, const std::vector<const MEDCouplingFieldDouble *>& fs) throw(INTERP_KERNEL::Exception)
{
  if(fs.empty())
    return;
  std::size_t nfs=fs.size();
  if(!fs[0])
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::WriteVTK : 1st instance of field is NULL !");
  const MEDCouplingMesh *m=fs[0]->getMesh();
  if(!m)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::WriteVTK : 1st instance of field lies on NULL mesh !");
  for(std::size_t i=1;i<nfs;i++)
    if(fs[i]->getMesh()!=m)
      throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::WriteVTK : Fields are not lying on a same mesh ! Expected by VTK ! MEDCouplingFieldDouble::setMesh or MEDCouplingFieldDouble::changeUnderlyingMesh can help to that.");
  if(!m)
    throw INTERP_KERNEL::Exception("MEDCouplingFieldDouble::WriteVTK : Fields are lying on a same mesh but it is empty !");
  std::ostringstream coss,noss;
  for(std::size_t i=0;i<nfs;i++)
    {
      const MEDCouplingFieldDouble *cur=fs[i];
      std::string name(cur->getName());
      if(name.empty())
        {
          std::ostringstream oss; oss << "MEDCouplingFieldDouble::WriteVTK : Field in pos #" << i << " has no name !";
          throw INTERP_KERNEL::Exception(oss.str().c_str());
        }
      TypeOfField typ=cur->getTypeOfField();
      if(typ==ON_CELLS)
        cur->getArray()->writeVTK(coss,8,cur->getName());
      else if(typ==ON_NODES)
        cur->getArray()->writeVTK(noss,8,cur->getName());
    }
  m->writeVTKAdvanced(fileName,coss.str(),noss.str());
}

void MEDCouplingFieldDouble::reprQuickOverview(std::ostream& stream) const throw(INTERP_KERNEL::Exception)
{
  stream << "MEDCouplingFieldDouble C++ instance at " << this << ". Name : \"" << _name << "\"." << std::endl;
  const char *nat=0;
  try
    {
      nat=MEDCouplingNatureOfField::GetRepr(_nature);
      stream << "Nature of field : " << nat << ".\n";
    }
  catch(INTERP_KERNEL::Exception& e)
    {  }
  const MEDCouplingFieldDiscretization *fd(_type);
  if(!fd)
    stream << "No spatial discretization set !";
  else
    fd->reprQuickOverview(stream);
  stream << std::endl;
  if(!_mesh)
    stream << "\nNo mesh support defined !";
  else
    {
      std::ostringstream oss;
      _mesh->reprQuickOverview(oss);
      std::string tmp(oss.str());
      stream << "\nMesh info : " << tmp.substr(0,tmp.find('\n'));
    }
  if(_time_discr)
    {
      const DataArrayDouble *arr=_time_discr->getArray();
      if(arr)
        {
          stream << "\n\nArray info : ";
          arr->reprQuickOverview(stream);
        }
      else
        {
          stream << "\n\nNo data array set !";
        }
    }
}