source: Sophya/trunk/SophyaLib/SkyMap/localmap.cc@ 2060

#include "localmap.h"
#include "smathconst.h"
#include <complex>
#include "piocmplx.h"
#include "fiondblock.h"

#include <string.h>
#include <iostream.h>
#include "timing.h"


/*!
  \class SOPHYA::LocalMap
  A local map is a 2 dimensional matrix, with ny rows and nx columns.
  The local map has an origin in (theta0, phi0), mapped to pixel(x0, y0)
 default value of (x0, y0) is middle of the map, center of pixel(nx/2, ny/2)
 Each pixel(ip, it) is defined by its "phi-like" index ip (column 
 index in the matrix) and its "theta-like" index it (row index in 
 the matrix). Index ip is associated with x-axis in a map-coordinate 
 system ; index it is associated with y-axis in the same map-coordinate system.
  
    The map is supposed to lie on a plan tangent to the celestial sphere 
    at a point, with spherical coordinates (theta0, phi0), whose pixel 
    numbers  are (x0,y0) in the local map. The aperture of the map is defined
    by two values of angles, angleX and angleY, covered respectively by all 
    the pixels in x direction and all the pixels in y direction.

    Each pixel has angleX/nx and angleY/ny, as angle extensions. So, in
    map-coordinate system the pixel (i,j) has following coordinates : 

    x = (i-x0)*angleX/nx
 
    y = (j-y0)*angleY/ny 
    
    (angles in radians)

    The projection (method : ProjectionToSphere() )of the map onto a 
    sphere is made by the following procedure : 

    the sphere is supposed to have radius=1. The map is 
    considered to be tangent to the sphere, on a point with (theta0, phi0)
    spherical coodinates. A reference coordinate system (plane-coordinate
    system) , is chosen in the plane of the map  with reference axes : 

    x-axis : vector tengent to a parallel in (theta0, phi0) on the sphere
    (components in "3-dim cartesian system : -sin(phi0) ; cos(phi0) ; 0)

    z-axis : vector-radius with 3-dim cartesian cordinates : 
             sin(theta0)*cos(phi0) ; sin(theta0*sin(phi0) ; cos(theta0)

    y-axis = z-axis^x-axis : tangent to the meridian at (theta0, phi0)

    note that the map-coordinate system may be rotated with respect to
    plane-coordinate system (parameter "angle" below).
    
    the projection of a map pixel is defined as the intersection of 
    the vector-radius, from sphere center to the pixel defined by
    his coordinates  in the plane-coordinate system (computed from x,y 
    above, with eventual rotation), with the sphere.
*/
template<class T>
LocalMap<T>::LocalMap() :  pixels_()
{
  InitNul();
}

//! full constructor of the local map
/*!
  \param nx : number of pixels in x direction
  \param ny : number of pixels in y direction
  \param angleX : total angle aperture in x direction (degrees)
  \param angleY : total angle aperture in y direction (degrees)
  \param theta0,phi0 : spherical coordinates of reference point at which 
                       the map is considered to be tangent to the sphere 
  \param x0, y0 : coodinates (in pixels) of the reference point just defined
  \param angle : angle (degrees) of the rotation between x-axis of 
                 map-coordinate system) and the tangent to parallel on 
                 the sphere (default : 0.).
 */
template<class T>
LocalMap<T>::LocalMap(int_4 nx, int_4 ny, double angleX,double angleY, double theta0,double phi0,int_4 x0,int_4 y0,double angle)  
{
  InitNul();
  nSzX_ = nx;
  nSzY_ = ny;
  nPix_= nx*ny;
  pixels_.ReSize(ny,nx);
  SetSize(angleX, angleY);
  SetOrigin(theta0, phi0, x0, y0, angle);
}


//! standard constructor of the local map
/*!
  \param nx : number of pixels in x direction
  \param ny : number of pixels in y direction
  \param angleX : total angle aperture in x direction (degrees)
  \param angleY : total angle aperture in y direction (degrees)
  \param theta0,phi0 : spherical coordinates of reference point at which 
                       the map is considered to be tangent to the sphere 
  \param angle : angle (degrees) of the rotation between x-axis of 
                 map-coordinate system) and the tangent to parallel on 
                 the sphere (default : 0.).
 */
template<class T>
LocalMap<T>::LocalMap(int_4 nx, int_4 ny, double angleX,double angleY, double theta0,double phi0, double angle) 
{
  InitNul();
  nSzX_ = nx;
  nSzY_ = ny;
  nPix_= nx*ny;
  pixels_.ReSize(ny,nx);
  cout << " tableau pixels initialise " << endl;
  SetSize(angleX, angleY);
  cout << " fin du setsize " << endl;
  SetOrigin(theta0, phi0, angle);
  cout << " fin du set oorigine " << endl;
}

//! copy constructor 
/*!
  \param share : if true, share data. If false copy data
 */
template<class T>
LocalMap<T>::LocalMap(const LocalMap<T>& lm, bool share)
  : pixels_(lm.pixels_, share)
{

  if(lm.mInfo_) mInfo_= new DVList(*lm.mInfo_);
  recopierVariablesSimples(lm);
}

//! copy constructor 
/*!
  \warning datas are \b SHARED with \b lm.
  \sa TMatrix::TMatrix(const TMatrix<T>&)
*/
template<class T>
LocalMap<T>::LocalMap(const LocalMap<T>& lm)
  : pixels_(lm.pixels_)

{

  if(lm.mInfo_) mInfo_= new DVList(*lm.mInfo_);
  recopierVariablesSimples(lm);
}

template<class T>
LocalMap<T>::~LocalMap() {;}



/*!  \fn void SOPHYA::LocalMap::ReSize(int_4 nx, int_4 ny) 

  Resize storage area for pixels 
*/
template<class T>
void LocalMap<T>::ReSize(int_4 nx, int_4 ny) 
{
    // angles par pixel,  en radians 
  deltaPhi_   *=  nSzX_/nx;   
  deltaTheta_ *=  nSzY_/ny;

  nSzX_ = nx;
  nSzY_ = ny;
  nPix_= nx*ny;
  pixels_.ReSize(ny,nx);
}

////////////////////////// methodes de copie/share

template<class T>
void LocalMap<T>::CloneOrShare(const LocalMap<T>& a)
{
      recopierVariablesSimples(a);     
      pixels_.CloneOrShare(a.pixels_);
      if (mInfo_) {delete mInfo_; mInfo_ = NULL;}
      if (a.mInfo_) mInfo_ = new DVList(*(a.mInfo_));
}
template<class T>
void LocalMap<T>::Share(const LocalMap<T>& a)
{
      recopierVariablesSimples(a);     
      pixels_.Share(a.pixels_);
      if (mInfo_) {delete mInfo_; mInfo_ = NULL;}
      if (a.mInfo_) mInfo_ = new DVList(*(a.mInfo_));
}

template<class T>
LocalMap<T>& LocalMap<T>::CopyElt(const LocalMap<T>& a)
{
  if (NbPixels() < 1) 
    throw RangeCheckError("LocalMap<T>::CopyElt(const LocalMap<T>& )  - Not Allocated Array ! ");
  if (NbPixels() != a.NbPixels()) 
    throw(SzMismatchError("LocalMap<T>::CopyElt(const LocalMap<T>&) SizeMismatch")) ;
      recopierVariablesSimples(a);     
  int k;
  pixels_ = a.pixels_;
  return(*this);

}

template<class T>
LocalMap<T>& LocalMap<T>::Set(const LocalMap<T>& a)
   {
  if (this != &a) 
    { 
      if (a.NbPixels() < 1) 
        throw RangeCheckError("LocalMap<T>::Set(a ) - Array a not allocated ! ");
      if (NbPixels() < 1) CloneOrShare(a);
      else CopyElt(a);
      if (mInfo_) delete mInfo_;
      mInfo_ = NULL;
      if (a.mInfo_) mInfo_ = new DVList(*(a.mInfo_));
    }
  return(*this);
   }


/*! \fn int_4 SOPHYA::LocalMap::NbPixels() const

   \return number of pixels 
*/
template<class T>
int_4 LocalMap<T>::NbPixels() const
{
  return(nPix_);
}

/*! \fn T& SOPHYA::LocalMap::PixVal(int_4 k)

   \return value of pixel with index k 
*/
template<class T>
T& LocalMap<T>::PixVal(int_4 k)
{
  if((k < 0) || (k >= nPix_)) 
    {
    throw RangeCheckError("LocalMap::PIxVal Pixel index out of range ");
    }
  //
  int_4 i,j;
  Getij(k,i,j);
  return(pixels_(j,i));

  //
}

/*! \fn T const& SOPHYA::LocalMap::PixVal(int_4 k) const
  const version of previous method 
*/
template<class T>
T const& LocalMap<T>::PixVal(int_4 k) const
{
  if((k < 0) || (k >= nPix_)) 
    {
    throw RangeCheckError("LocalMap::PIxVal Pixel index out of range ");
    } 
  //
  int_4 i,j;
  Getij(k,i,j);
  return(pixels_(j,i));
}

/*! \fn bool SOPHYA::LocalMap::ContainsSph(double theta, double phi) const
 \return true if teta,phi in map  
 <b> Not yet implemented </b>
*/
template<class T>
bool LocalMap<T>::ContainsSph(double theta, double phi) const
{
// $CHECK$  Reza 11/11/99 - A modifier
  throw NotAvailableOperation("LocalMap<T>::ContainsSph() - Not yet implemented !");
  return(true);
}

/*!  \fn int_4 SOPHYA::LocalMap::PixIndexSph(double theta,double phi) const

   angles in radians
  \return index of the pixel with spherical coordinates (theta,phi) 
*/
template<class T>
int_4 LocalMap<T>::PixIndexSph(double theta,double phi) const
{
  int_4 i,j;

  double csTheta = cos(theta);
  double snTheta = sin(theta);
  double csPhi   = cos(phi);
  double snPhi   = sin(phi); 
  double csPhiMPhiC = cos (phi - phiC_);
  double snPhiMPhiC = sin (phi - phiC_);
  // le point sur la sphere est note M. 
  // intersection P de OM avec le plan de la carte (tangent en C)
  double denom = snTheta*snthC_*csPhiMPhiC + csTheta*csthC_;
  if ( denom == 0.) 
    {
      throw PException("LocalMap::PixIndexSph : vector radius parallel to map plane ");
    }
  double lambda = 1./denom;
  // coordonnes du point d'intersection P dans le repere lie au plan

  double XP = lambda*snTheta*snPhiMPhiC;
  double YP = lambda*snTheta*csthC_*csPhiMPhiC;

  // coordonnees dans le repere lie a la carte (eventuellement tourne par
  // rapport au precedent.

  double X = XP*cosAngle_ + YP*sinAngle_;
  double Y = -XP*sinAngle_ + YP*cosAngle_;

  // en unites de pixels 

  X /= deltaPhi_;
  Y /= deltaTheta_;


  double xmin= -x0_-0.5;
  double xmax= xmin+nSzX_;
  if((X > xmax) || (X < xmin)) { 
    if (exc_outofmap_) throw RangeCheckError("LocalMap<T>::PixIndexSph() - Out of Map Theta/Phi (X) ");
    else return(-1);
  }
  double xcurrent= xmin;
  for(i = 0; i < nSzX_; i++ ) 
    {
      xcurrent += 1.;
      if( X < xcurrent ) break;
    }
  double ymin= -y0_-0.5;
  double ymax= ymin+nSzY_;
  if((Y >  ymax) || (Y < ymin)) { 
    if (exc_outofmap_) throw RangeCheckError("LocalMap<T>::PixIndexSph() - Out of Map Theta/Phi (Y) ");
    else return(-1);
  }
  double ycurrent= ymin;
  for(j = 0; j < nSzY_; j++ ) 
    {
      ycurrent += 1.;
      if( Y < ycurrent ) break;
    }
  return (j*nSzX_+i);
}

/*! \fn void SOPHYA::LocalMap::PixThetaPhi(int_4 k,double& theta,double& phi) const

   \return (theta, phi) coordinates of pixel with index k 
*/


template<class T>
void LocalMap<T>::PixThetaPhi(int_4 k,double& theta,double& phi) const
{

  int_4 i,j;
  Getij(k,i,j);

  PixThetaPhi(i,j, theta, phi);

}

/*! \fn void SOPHYA::LocalMap::PixThetaPhi(int_4 ip,int_4 it, double& theta,double& phi) const


   \return (theta, phi) coordinates of pixel of map with indices (ip,it) corresponding to x and y directions

 \param ip : phi-like index
 \param it : theta-like index
*/

template<class T>
void LocalMap<T>::PixThetaPhi(int_4 ip,int_4 it, double& theta,double& phi) const
{
  double XP, YP, ZP;
  PixToSphereC(ip,it,XP,YP,ZP);

  theta = acos(ZP);
  phi = atan2(YP, XP);
  while (phi < 0.)  phi += 2.*Pi;

}




/*! \fn T SOPHYA::LocalMap::SetPixels(T v)

Set all pixels to value v 
*/
template <class T>
T LocalMap<T>::SetPixels(T v)
{
pixels_ = v;
return(v);
}
 
/*! \fn double SOPHYA::LocalMap::PixSolAngle(int_4 k) const

   Pixel Solid angle  (steradians)

   All the pixels are considered to have  the same size in (theta, phi).
      
*/  
template<class T>
double LocalMap<T>::PixSolAngle(int_4 k) const
{
  double XP, YP, ZP;
  int_4 i,j;
  Getij(k,i,j);
  PixToSphereC(i,j,XP,YP,ZP);

  double theta = acos(ZP);

  

  // angle solide

  double sol= 2.* deltaPhi_*sin(theta)*sin(0.5*deltaTheta_);
  return sol;
}

/*! \fn void SOPHYA::LocalMap::PixToSphereC(int_4 ip, int_4 it, double& XP, double& YP, double& ZP)

projection of a pixel of map, onto the unity sphere ; result in cartesian coordinates.
*/

template<class T>
void LocalMap<T>::PixToSphereC(int_4 ip, int_4 it, double& XP, double& YP, double& ZP) const
{
  double X= double(ip-x0_)* deltaPhi_;
  double Y= double(it-y0_)*deltaTheta_; 

    // situation dans le plan de reference tangent
  double dx= X*cosAngle_-Y*sinAngle_;
  double dy= X*sinAngle_+Y*cosAngle_;

  XP = XC_ - dx*snphC_ - dy*csthC_*csphC_;
  YP = YC_ + dx*csphC_ - dy*csthC_*snphC_;
  ZP = ZC_ + dy*snthC_;

  // on renormalise pour eviter les probleme de precision lors
  // de la prise ulterieure de lignes trigonometriques
  double norme = sqrt(XP*XP + YP*YP + ZP*ZP);
  XP /= norme;
  YP /= norme;
  ZP /= norme;
}

/*! \fn void SOPHYA::LocalMap::SetOrigin(double theta0,double phi0,double angle)

   set the referential of the map (angles in degrees)

    (default x0=siz_x/2,  y0=siz_y/2) 
*/
template<class T>
void LocalMap<T>::SetOrigin(double theta0,double phi0,double angle)
{
  SetOrigin(theta0, phi0,  nSzX_/2,  nSzY_/2, angle);
}
 
/*!  \fn void SOPHYA::LocalMap::SetOrigin(double theta0,double phi0,int_4 x0,int_4 y0,double angle)

  set the referential of the map (angles in degrees) 
*/
template<class T>
void LocalMap<T>::SetOrigin(double theta0,double phi0,int_4 x0,int_4 y0,double angle)
{
  // if (originFlag_)
  //   {
  //     throw PException("LocalMap::SetOrigin : redefining origin is not allowed at the moment ");
  //  }

  if ( theta0 < 0. || theta0 > 180. || phi0 < 0. || phi0 > 360. || angle < -90. || angle > 90.)
    {
      throw ParmError("LocalMap::SetOrigin  angle out of range"); 
    }
  SetCoorC(theta0,phi0);
  angleDegres_ = angle; 
  // en radians 
  angle_ = angle*Pi/180.;
  x0_= x0;
  y0_= y0;
  cosAngle_= cos(angle_);
  sinAngle_= sin(angle_);
} 

template<class T>
void LocalMap<T>::SetCoorC(double theta0, double phi0)
{

  thetaDegresC_ = theta0;
  phiDegresC_ = phi0;

  // passage en radians
  thetaC_= theta0*Pi/180.;
  phiC_  = phi0*Pi/180.;
  csthC_ = cos(thetaC_);
  snthC_ = sin(thetaC_);
  csphC_ = cos(phiC_);
  snphC_ = sin(phiC_);
  XC_ = snthC_*csphC_;
  YC_ = snthC_*snphC_;
  ZC_ = csthC_;
}


// angles en RADIANS
template<class T>
TMatrix<double> LocalMap<T>::CalculMatricePassage()
{
  cout << " calcul matrice de passage " << endl;
  TMatrix<double> passage(3,3);
  double cos_th_axeZ;
  double sin_th_axeZ;
  double cos_phi_axeZ;
  double sin_phi_axeZ;

  double cth,sth, cdeltaPhi, phi, cphi, sphi;

  if ( snthC_ <= 0.) // carte centree au pole 
    {
      cos_th_axeZ = 1.;
      sin_th_axeZ = 0.;
      cos_phi_axeZ = 1.;
      sin_phi_axeZ = 0.;
      
    }
  else
    {
      cth = cosAngle_*snthC_;
      double arg = 1.-cth*cth;
      if (arg <= 0. ) // carte centree sur l'equateur, sans rotation
        {
          cos_th_axeZ = 1.;
          sin_th_axeZ = 0.;
          cos_phi_axeZ = csphC_;
          sin_phi_axeZ = snphC_;
        }
      else
        {
          sth = sqrt(arg);
          cdeltaPhi = -csthC_*cth/(snthC_*sth);
          if (cdeltaPhi < -1. ) cdeltaPhi = -1.;
          if (cdeltaPhi > 1. ) cdeltaPhi = 1.;
          phi = phiC_ + acos( cdeltaPhi );

          cos_th_axeZ = cth;
          sin_th_axeZ = sth;
          cos_phi_axeZ = cos(phi);
          sin_phi_axeZ = sin(phi);
        }
    }
  passage(0,0) = snthC_*csphC_;
  passage(1,0) = snthC_*snphC_;
  passage(2,0) = csthC_;

  passage(0,2) = sin_th_axeZ*cos_phi_axeZ;
  passage(1,2) = sin_th_axeZ*sin_phi_axeZ;
  passage(2,2) = cos_th_axeZ;

  passage(0,1) = passage(1,2)*passage(2,0) - passage(2,2)*passage(1,0);
  passage(1,1) = passage(2,2)*passage(0,0) - passage(0,2)*passage(2,0); 
  passage(2,1) = passage(0,2)*passage(1,0) - passage(1,2)*passage(0,0);

  //  passage.Print(cout);
  // cout << " fin calcul passage " << endl;

  return passage;


}

/*! \fn void SOPHYA::LocalMap::SetSize(double angleX,double angleY)

   angle range of tthe map (angles in degrees) 
*/
template<class T>
void LocalMap<T>::SetSize(double angleX,double angleY)
{
  if ( angleX <= 0. || angleX > 180. || angleY <= 0. || angleY > 180.)
    {
      throw ParmError("LocalMap::SetSize extension angle out of range"); 
    }

  angleDegresX_ = angleX;
  angleDegresY_ = angleY;
  // angles par pixel,  en radians 
  cout << " taille x " << nSzX_ <<"  taille y " << nSzY_ << endl;
  deltaPhi_   = angleX*Pi/(180.*nSzX_);
  deltaTheta_ = angleY*Pi/(180.*nSzY_);


}



/*! \fn void SOPHYA::LocalMap::ProjectionToSphere(SphericalMap<T>& sphere) const

Projection to a spherical map 
*/
template<class T>
void LocalMap<T>::ProjectionToSphere(SphericalMap<T>& sphere) const
{
   double theta, phi;
  int it, ip;
   for (it = 0; it < nSzY_; it++)
    {
      for (ip = 0; ip < nSzX_; ip++) 
        {
          PixThetaPhi(ip,it, theta, phi);
          sphere(theta,phi)= pixels_(it, ip);
        }
    }
}



// Titre        Private Methods
//++
template<class T>
void LocalMap<T>::InitNul()
//
//    set attributes to zero
//--
{ 
  nSzX_ = 0;
  nSzY_ = 0;
  angleDegresX_ = 0.;
  angleDegresY_ = 0.;
  thetaDegresC_ = 0.;
  phiDegresC_   = 0.;
  x0_ = 0;
  y0_ = 0;
  angleDegres_ = 0.;


  nPix_ = 0;

  thetaC_ = 0.;
  phiC_   = 0.;
  csthC_  = 1.;
  snthC_  = 0.;
  csphC_  = 1.;
  snphC_  = 0.;
  XC_     = 0.;
  YC_     = 0.;
  ZC_     = 1.;

  angle_      = 0.;
  cosAngle_   = 1.;
  sinAngle_   = 0.;
  deltaPhi_   = 0.;
  deltaTheta_ =0.;
  SetThrowExceptionWhenOutofMapFlag(false); // Genere des exceptions si theta-phi out of range 
}


/*!   \fn void SOPHYA::LocalMap::Getij(int_4 k,int_4& i,int_4& j) const

 \return 2 indices corresponding to the pixel number k 
*/
template<class T>
void LocalMap<T>::Getij(int_4 k,int_4& i,int_4& j) const
{
  i= (k+1)%nSzX_-1;
  if(i == -1) i= nSzX_-1;
  j= (k-i+2)/nSzX_;
}






template<class T>
void LocalMap<T>::print(ostream& os) const
{
  os<<" SzX= "<<nSzX_<<", SzY= "<<nSzY_<<", NPix= "<<nPix_<<endl;
      os<<" theta0= "<<thetaC_*180./Pi <<", phi0= "<<phiC_*180./Pi <<", angle= "<<angle_*180./Pi<<endl;
      os<<" x0= "<<x0_<<", y0= "<<y0_<<endl;
      os<<" cos= "<< cosAngle_ <<", & sin= "<<sinAngle_<<endl;
      os<<"  deltaPhi_= "<<  deltaPhi_ <<", deltaTheta = "<< deltaTheta_ <<endl;
      os <<endl;

  os << " contenu de pixels : ";
  for(int i=0; i < nPix_; i++)
    {
      if(i%5 == 0) os << endl;
  int_4 ik,jk;
  Getij(i,ik,jk);
      os <<  pixels_(jk,ik) <<", ";
    }
  os << endl;
}


template<class T>
void LocalMap<T>::recopierVariablesSimples(const LocalMap<T>& lm)
{

  nSzX_ = lm.nSzX_;
  nSzY_ = lm.nSzY_;
  nPix_ = lm.nPix_;
  x0_   = lm.x0_;
  y0_   = lm.y0_;

  thetaC_ = lm.thetaC_;
  phiC_   = lm.phiC_;
  csthC_  = lm.csthC_;
  snthC_  = lm.snthC_;
  csphC_  = lm.csphC_;
  snphC_  = lm.snphC_;
  XC_     = lm.XC_;
  YC_     = lm.YC_;
  ZC_     = lm.ZC_;

  angle_= lm.angle_;
  cosAngle_  = lm.cosAngle_;
  sinAngle_  = lm.sinAngle_;
  deltaPhi_  = lm. deltaPhi_;
  deltaTheta_ = lm.deltaTheta_;
}

//   ...... Operations de calcul  ......


//! Fill a LocalMap with a constant value \b a
template <class T>
LocalMap<T>& LocalMap<T>::SetT(T a) 
{
  if (NbPixels() < 1) 
    throw RangeCheckError("LocalMap<T>::SetT(T )  - LocalMap not dimensionned ! ");
  pixels_ = a;
  return (*this);
}

/*! Add a constant value \b x to a LocalMap */
template <class T>
LocalMap<T>& LocalMap<T>::Add(T a)
 {
  if (NbPixels()< 1) 
    throw RangeCheckError("LocalMap<T>::Add(T )  - LocalMap not dimensionned ! ");
  pixels_ += a; 
  return (*this);
}

/*! Substract a constant value \b a to a LocalMap */
template <class T>
LocalMap<T>& LocalMap<T>::Sub(T a,bool fginv) 
{
  if (NbPixels()< 1) 
    throw RangeCheckError("LocalMap<T>::Sub(T )  - LocalMap not dimensionned ! ");
  pixels_.Sub(a,fginv); 
  return (*this);
} 

/*! multiply a LocalMap by a constant value \b a */
template <class T>
LocalMap<T>& LocalMap<T>::Mul(T a) 
{
  if (NbPixels()< 1) 
    throw RangeCheckError("LocalMap<T>::Mul(T )  - LocalMap not dimensionned ! ");
  pixels_ *= a; 
  return (*this);
}

/*! divide a LocalMap by a constant value \b a */
template <class T>
LocalMap<T>& LocalMap<T>::Div(T a) 
{
  if (NbPixels()< 1) 
    throw RangeCheckError("LocalMap<T>::Div(T )  - LocalMap not dimensionned ! ");
  pixels_ /= a; 
  return (*this);
} 

//  >>>> Operations avec 2nd membre de type LocalMap
//! Add two LocalMap

template <class T>
LocalMap<T>& LocalMap<T>::AddElt(const LocalMap<T>& a)
{
  if (nSzX_ != a.nSzX_ || nSzY_ != a.nSzY_)
    {
    throw(SzMismatchError("LocalMap<T>::AddElt(const LocalMap<T>&) SizeMismatch")) ;
    }
  pixels_ += a.pixels_;
  return (*this);
}

//! Substract two LocalMap
template <class T>
LocalMap<T>& LocalMap<T>::SubElt(const LocalMap<T>& a)
{
  if (nSzX_ != a.nSzX_ || nSzY_ != a.nSzY_)
    {
    throw(SzMismatchError("LocalMap<T>::SubElt(const LocalMap<T>&) SizeMismatch")) ;
    }
  pixels_ -= a.pixels_;
  return (*this);
}

//! Multiply two LocalMap (elements by elements)
template <class T>
LocalMap<T>& LocalMap<T>::MulElt(const LocalMap<T>& a)
{
  if (nSzX_ != a.nSzX_ || nSzY_ != a.nSzY_)
    {
    throw(SzMismatchError("LocalMap<T>::MulElt(const LocalMap<T>&) SizeMismatch")) ;
    }
  //  pixels_ *= a.pixels_;
  pixels_.DataBlock() *= a.pixels_.DataBlock();
  return (*this);
}

//! Divide two LocalMaps (elements by elements) - No protection for divide by 0
template <class T>
LocalMap<T>& LocalMap<T>::DivElt(const LocalMap<T>& a)
{
  if (nSzX_ != a.nSzX_ || nSzY_ != a.nSzY_)
    {
    throw(SzMismatchError("LocalMap<T>::DivElt(const LocalMap<T>&) SizeMismatch")) ;
    }
  //  pixels_ /= a.pixels_;
  pixels_.DataBlock() /= a.pixels_.DataBlock();
  return (*this);
}






#ifdef __CXX_PRAGMA_TEMPLATES__
#pragma define_template LocalMap<int_4>
#pragma define_template LocalMap<r_8>
#pragma define_template LocalMap<r_4>
#pragma define_template LocalMap< complex<r_8> >
#pragma define_template LocalMap< complex<r_4> >
#endif
#if defined(ANSI_TEMPLATES) || defined(GNU_TEMPLATES)
template class LocalMap<int_4>;
template class LocalMap<r_8>;
template class LocalMap<r_4>;
template class LocalMap< complex<r_8> >;
template class LocalMap< complex<r_4> >;
#endif