source: Sophya/trunk/SophyaLib/SkyMap/spherehealpix.cc@ 2978

#include "sopnamsp.h"
#include "machdefs.h"
#include <math.h>
#include <complex>

#include "pexceptions.h"
#include "fiondblock.h"
#include "spherehealpix.h"
#include "strutil.h"

extern "C" 
{
#include <stdio.h>
#include <stdlib.h>
#include <unistd.h>
}
      
using namespace SOPHYA;

/*!
  \class SOPHYA::SphereHEALPix
  \ingroup SkyMap
  \brief Spherical maps in HEALPix pixelisation scheme.

  Class implementing spherical maps, in the HEALPix pixelisation scheme, 
  with template data types (double, float, complex, ...)


\verbatim
    Adapted from :
    -----------------------------------------------------------------------
     version 0.8.2  Aug97 TAC  Eric Hivon, Kris Gorski
    -----------------------------------------------------------------------

    the sphere is split in 12 diamond-faces containing nside**2 pixels each
    the numbering of the pixels (in the nested scheme) is similar to
    quad-cube
    In each face the first pixel is in the lowest corner of the diamond
    the faces are                    (x,y) coordinate on each face

        .   .   .   .   <--- North Pole
       / \ / \ / \ / \                          ^        ^     
      . 0 . 1 . 2 . 3 . <--- z = 2/3             \      / 
       \ / \ / \ / \ /                        y   \    /  x  
      4 . 5 . 6 . 7 . 4 <--- equator               \  /      
       / \ / \ / \ / \                              \/      
      . 8 . 9 .10 .11 . <--- z = -2/3              (0,0) : lowest corner 
       \ / \ / \ / \ /      
        .   .   .   .   <--- South Pole
\endverbatim
    phi:0               2Pi                                 

   in the ring scheme pixels are numbered along the parallels
   the first parallel is the one closest to the north pole and so on  
   on each parallel, pixels are numbered starting from the one closest
    to phi = 0

    nside MUST be a power of 2 (<= 8192)

*/

/* --Methode-- */

//! Default constructor - optional pixelisation scheme parameter
template<class T>
SphereHEALPix<T>::SphereHEALPix(bool fgring) : fgring_(fgring), pixels_(), 
                                    sliceBeginIndex_(), sliceLenght_()

{
  InitNul();
}

/*! \brief Constructor with specification of nside and optional pixelisation scheme
  
  \param <m> : "nside" of the Healpix algorithm
  \param <fgring> : if true -> RING pixelisation (default), if not NESTED

  The total number of pixels will be Npix =  12*nside**2

  nside MUST be a power of 2 (<= 8192)
*/

template<class T>
SphereHEALPix<T>::SphereHEALPix(int_4 m, bool fgring)

{
  fgring_ = fgring;
  InitNul();
  Pixelize(m);
  SetThetaSlices();
}
//!    Copy constructor
template<class T>
SphereHEALPix<T>::SphereHEALPix(const SphereHEALPix<T>& s, bool share)
  : pixels_(s.pixels_, share), sliceBeginIndex_(s.sliceBeginIndex_, share), 
                                sliceLenght_(s.sliceLenght_, share)
//--
{
  nSide_= s.nSide_;
  nPix_ = s.nPix_;
  omeg_ = s.omeg_;
  fgring_ = s.fgring_;
  if(s.mInfo_) this->mInfo_= new DVList(*s.mInfo_);
}
//++
template<class T>
SphereHEALPix<T>::SphereHEALPix(const SphereHEALPix<T>& s)
  : pixels_(s.pixels_), sliceBeginIndex_(s.sliceBeginIndex_), 
                                sliceLenght_(s.sliceLenght_)
//    copy constructor
//--
{
  nSide_= s.nSide_;
  nPix_ = s.nPix_;
  omeg_ = s.omeg_;
  fgring_ = s.fgring_;
  if(s.mInfo_) this->mInfo_= new DVList(*s.mInfo_);
  //  CloneOrShare(s);
}

//! Clone if \b a is not temporary, share if temporary
/*! \sa NDataBlock::CloneOrShare(const NDataBlock<T>&) */
template<class T>
void SphereHEALPix<T>::CloneOrShare(const SphereHEALPix<T>& a)
{
  nSide_= a.nSide_;
  nPix_ = a.nPix_;
  omeg_ = a.omeg_;
  fgring_ = a.fgring_;
  pixels_.CloneOrShare(a.pixels_);
  sliceBeginIndex_.CloneOrShare(a.sliceBeginIndex_);
  sliceLenght_.CloneOrShare(a.sliceLenght_);
  if (this->mInfo_) {delete this->mInfo_; this->mInfo_ = NULL;}
  if (a.mInfo_) this->mInfo_ = new DVList(*(a.mInfo_));
}

//! Share data with a
template<class T>
void SphereHEALPix<T>::Share(const SphereHEALPix<T>& a)
{
  nSide_= a.nSide_;
  nPix_ = a.nPix_;
  omeg_ = a.omeg_;
  fgring_ = a.fgring_;
  pixels_.Share(a.pixels_);
  sliceBeginIndex_.Share(a.sliceBeginIndex_);
  sliceLenght_.Share(a.sliceLenght_);
  if (this->mInfo_) {delete this->mInfo_; this->mInfo_ = NULL;}
  if (a.mInfo_) this->mInfo_ = new DVList(*(a.mInfo_));
}

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

template<class T>
SphereHEALPix<T>& SphereHEALPix<T>::CopyElt(const SphereHEALPix<T>& a)
{
  if (NbPixels() < 1) 
    throw RangeCheckError("SphereHEALPix<T>::CopyElt(a)  - Not Allocated SphereHEALPix ! ");
  if (NbPixels() != a.NbPixels()) 
    throw(SzMismatchError("SphereHEALPix<T>::CopyElt(a) SizeMismatch")) ;
  nSide_= a.nSide_;
  nPix_ = a.nPix_;
  omeg_ = a.omeg_;
  int k;
  if (fgring_ != a.fgring_) 
    for (k=0; k< nPix_; k++) pixels_(k) = a.pixels_(k);
  else {
    if (fgring_)  for (k=0; k< nPix_; k++) 
      pixels_(k) = a.pixels_(ring2nest(nSide_, k));
    else  for (k=0; k< nPix_; k++) 
      pixels_(k) = a.pixels_(nest2ring(nSide_, k));                          
  }
  for (k=0; k< a.sliceBeginIndex_.Size(); k++) sliceBeginIndex_(k) = a.sliceBeginIndex_(k);
  for (k=0; k< a.sliceLenght_.Size(); k++) sliceLenght_(k) = a.sliceLenght_(k);
  return(*this);
}

template<class T>
SphereHEALPix<T>::~SphereHEALPix()
{
}

/*!  \fn   void SOPHYA::SphereHEALPix::Resize(int_4 m)
  \param <m>   "nside" of the HEALPix algorithm

  The total number of pixels will be Npix =  12*nside**2

  nside MUST be a power of 2 (<= 8192)
*/
template<class T>
void SphereHEALPix<T>::Resize(int_4 m)
{
  if ((m <= 0 && nSide_ > 0))  {
    cout << "SphereHEALPix<T>::Resize(m) with m<=0, NOT resized" << endl;
    return;
  }
  InitNul();
  Pixelize(m);
  SetThetaSlices();
}


//! return type of the map pixelisation : RING or NESTED
template<class T>
string SphereHEALPix<T>::TypeOfMap() const 
{
  if (fgring_)  return string("RING");
  else return string("NESTED");
}

template<class T>
void  SphereHEALPix<T>::Pixelize( int_4 m) 
//    prépare la pixelisation Gorski (m a la même signification 
//    que pour le constructeur)
{
  if (m<=0 || m> 8192) {
    cout << "SphereHEALPix<T>::Pixelize() m=" << m <<" out of range [0,8192]" << endl;
    throw ParmError("SphereHEALPix<T>::Pixelize() m out of range");
  }
  // verifier que m est une puissance de deux 
  int x= m;
  while (x%2==0) x/=2;
  if(x != 1) {  
    cout << "SphereHEALPix<T>::Pixelize() m=" << m << " != 2^n " << endl;
    throw ParmError("SphereHEALPix<T>::Pixelize() m!=2^n");
  }

  // On memorise les arguments d'appel
  nSide_= m;  

  // Nombre total de pixels sur la sphere entiere
  nPix_= 12*nSide_*nSide_;

  // pour le moment les tableaux qui suivent seront ranges dans l'ordre 
  // de l'indexation GORSKY "RING"
  // on pourra ulterieurement changer de strategie et tirer profit
  // de la dualite d'indexation GORSKY (RING et NEST) : tout dependra 
  // de pourquoi c'est faire

  // Creation et initialisation du vecteur des contenus des pixels 
  pixels_.ReSize(nPix_);
  pixels_.Reset();

  // solid angle per pixel   
  omeg_= 4.0*Pi/nPix_;
}

template<class T>
void SphereHEALPix<T>::InitNul()
//
//    initialise à zéro les variables de classe 
{
  nSide_= 0;
  nPix_ = 0;
  omeg_ = 0.;
//  pixels_.Reset();  -  Il ne faut pas mettre les pixels a zero si share !
}

/* --Methode-- */
/* Nombre de pixels du decoupage */
/*! \fn int_4 SOPHYA::SphereHEALPix::NbPixels() const

   Return number of  pixels of the  splitting 
*/
template<class T>
int_4 SphereHEALPix<T>::NbPixels() const
{  
  return(nPix_);
}


/*! \fn uint_4 SOPHYA::SphereHEALPix::NbThetaSlices() const

   \return number of slices in theta direction on the  sphere 
*/
template<class T>
uint_4 SphereHEALPix<T>::NbThetaSlices() const 
{
  uint_4 nbslices = uint_4(4*nSide_-1);
  if (nSide_<=0)  {
    nbslices = 0;
    throw PException(" sphere not pixelized, NbSlice=0 ");
  }
  return nbslices;
}

//! Return the theta angle for slice defined by \b index
template<class T>
r_8 SphereHEALPix<T>::ThetaOfSlice(int_4 index) const
{
  uint_4 nbslices = uint_4(4*nSide_-1);
  if (index<0 || index >= nbslices) 
    throw RangeCheckError(" SphereHEALPix::ThetaOfSlice()  index out of range");
  r_8 theta, phi0;
  PixThetaPhi(sliceBeginIndex_(index), theta, phi0);
  return theta;
}

//! Return true : All theta slices have a symmetric slice at Pi-Theta in SphereHEALPix
template <class T>
bool SphereHEALPix<T>::HasSymThetaSlice() const 
{
  return true;
}
//! Return the slice index for the symmetric slice at theta=Pi-ThetaOfSlice(idx) 
template <class T>
int_4 SphereHEALPix<T>::GetSymThetaSliceIndex(int_4 idx) const
{
  if(idx < 0 || idx >= NbThetaSlices()) 
    throw RangeCheckError("SphereHEALPix::GetSymThetaSliceIndex index out of range"); 
  return (NbThetaSlices()-1-idx);
}

/*!  \fn void SOPHYA::SphereHEALPix::GetThetaSlice(int_4 index,r_8& theta,TVector<r_8>& phi,TVector<T>& value) const 

 For a theta-slice with index 'index', return :
 
   the corresponding "theta" 

   a vector containing the phi's of the pixels of the slice

   a vector containing the corresponding values of pixels 
*/
template<class T>
void SphereHEALPix<T>::GetThetaSlice(int_4 index,r_8& theta,TVector<r_8>& phi,TVector<T>& value) const 
{
  if (index<0 || index >= NbThetaSlices())  {
      cout << " SphereHEALPix::GetThetaSlice : Pixel index out of range" <<endl;
      throw RangeCheckError(" SphereHEALPix::GetThetaSlice()  index out of range");
  }

  int_4 iring= sliceBeginIndex_(index);
  int_4 lring  =  sliceLenght_(index);

  phi.ReSize(lring);
  value.ReSize(lring);

  double TH= 0.;
  double FI= 0.;
  if (fgring_) {  // RING pixelisation scheme
    for(int_4 kk = 0; kk < lring;kk++)  {
      PixThetaPhi(kk+iring,TH,FI);
      phi(kk)= FI;
      value(kk)= pixels_(kk+iring);
    }
  }
  else {  // NESTED pixelisation scheme
    for(int_4 kk = 0; kk < lring;kk++)  {
      int kkn = ring2nest(nSide_, kk+iring);
      PixThetaPhi(kkn,TH,FI);
      phi(kk)= FI;
      value(kk)= pixels_(kkn);
    }
  }
  theta= TH;
}
/*! \fn void SOPHYA::SphereHEALPix::GetThetaSlice(int_4 sliceIndex,r_8& theta, r_8& phi0, TVector<int_4>& pixelIndices,TVector<T>& value) const

   For a theta-slice with index 'index', return : 

   the corresponding "theta" 

   the corresponding "phi" for first pixel of the slice 

    a vector containing indices of the pixels of the slice

   (equally distributed in phi)

    a vector containing the corresponding values of pixels 
*/

template<class T>
void SphereHEALPix<T>::GetThetaSlice(int_4 sliceIndex,r_8& theta, r_8& phi0, TVector<int_4>& pixelIndices,TVector<T>& value) const 

{

  if (sliceIndex<0 || sliceIndex >= NbThetaSlices()) 
    {
      cout << " SphereHEALPix::GetThetaSlice : Pixel index out of range" <<endl;
      throw RangeCheckError(" SphereHEALPix::GetThetaSlice : Pixel index out of range");
    }
  int_4 iring= sliceBeginIndex_(sliceIndex);
  int_4 lring  =  sliceLenght_(sliceIndex);
  pixelIndices.ReSize(lring);
  value.ReSize(lring);

  if (fgring_) {  // RING pixelisation scheme
    for(int_4 kk = 0; kk < lring;kk++)  {
      pixelIndices(kk)= kk+iring;
      value(kk)= pixels_(kk+iring);
    }
    PixThetaPhi(iring, theta, phi0);
  }
  else {  // NESTED pixelisation scheme
    for(int_4 kk = 0; kk < lring;kk++)  {
      int_4 kkn = ring2nest(nSide_, kk+iring);
      pixelIndices(kk)= kkn;
      value(kk)= pixels_(kkn);
    }
    PixThetaPhi(ring2nest(nSide_,iring), theta, phi0);    
  }
}

template<class T>
void SphereHEALPix<T>::SetThetaSlices()  
{
  sliceBeginIndex_.ReSize(4*nSide_-1);
  sliceLenght_.ReSize(4*nSide_-1);
  int sliceIndex;
  for (sliceIndex=0; sliceIndex<  nSide_-1; sliceIndex++)
    {
      sliceBeginIndex_(sliceIndex)  = 2*sliceIndex*(sliceIndex+1);
      sliceLenght_(sliceIndex) = 4*(sliceIndex+1);
    }
  for (sliceIndex= nSide_-1; sliceIndex<  3*nSide_; sliceIndex++)
    {
      sliceBeginIndex_(sliceIndex)  = 2*nSide_*(2*sliceIndex-nSide_+1);
      sliceLenght_(sliceIndex) = 4*nSide_;
    }
  for (sliceIndex= 3*nSide_; sliceIndex< 4*nSide_-1; sliceIndex++)
    {
      int_4 nc= 4*nSide_-1-sliceIndex;
      sliceBeginIndex_(sliceIndex)  = nPix_-2*nc*(nc+1); 
      sliceLenght_(sliceIndex) = 4*nc;
    }
}



//!   \return value of the \b k th pixel 
template<class T>
T& SphereHEALPix<T>::PixVal(int_4 k)

{
  if((k < 0) || (k >= nPix_)) 
      throw RangeCheckError("SphereHEALPix::PixVal() Pixel index out of range");
  return pixels_(k);
}

//!   \return value of the \b k th pixel 
template<class T>
T const& SphereHEALPix<T>::PixVal(int_4 k) const

{
  if((k < 0) || (k >= nPix_)) 
    throw RangeCheckError("SphereHEALPix::PIxVal Pixel index out of range");
  return *(pixels_.Data()+k);
}

/*! \fn T& SOPHYA::SphereHEALPix::PixValNest(int_4 k)

   \return value of  pixel with "NESTED" index k 

template<class T>
T& SphereHEALPix<T>::PixValNest(int_4 k)

//--
{
  if((k < 0) || (k >= nPix_)) 
    { 
      throw RangeCheckError("SphereHEALPix::PIxValNest Pixel index out of range");
    }
  return pixels_(nest2ring(nSide_,k));
}
*/
/*!  \fn T const& SOPHYA::SphereHEALPix::PixValNest(int_4 k) const

  \return value of  pixel with "NESTED" index k 

template<class T>
T const& SphereHEALPix<T>::PixValNest(int_4 k) const

{
  if((k < 0) || (k >= nPix_)) 
    { 
      throw RangeCheckError("SphereHEALPix::PIxValNest Pixel index out of range");
  }
  int_4 pix= nest2ring(nSide_,k);
  return *(pixels_.Data()+pix);
}
*/

/*! \fn bool SOPHYA::SphereHEALPix::ContainsSph(double theta, double phi) const

\return true if teta,phi in map 
*/
template<class T>
bool SphereHEALPix<T>::ContainsSph(double theta, double phi) const
{
return(true);
}

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

 \return "RING" index of the pixel corresponding to direction (theta, phi).
 */
template<class T>
int_4 SphereHEALPix<T>::PixIndexSph(double theta,double phi) const

{
  if (fgring_) return ang2pix_ring(nSide_,theta,phi);
  else return ang2pix_nest(nSide_,theta,phi);
}

/*! \fn int_4 SOPHYA::SphereHEALPix::PixIndexSphNest(double theta,double phi) const

 \return "NESTED" index of the pixel corresponding to direction (theta, phi).

template<class T>
int_4 SphereHEALPix<T>::PixIndexSphNest(double theta,double  phi) const

{
  return ang2pix_nest(nSide_,theta,phi);
}
*/

//!  \return (theta,phi) coordinates of middle of  pixel with "RING" index k
template<class T>
void SphereHEALPix<T>::PixThetaPhi(int_4 k,double& theta,double& phi) const
{
  if (fgring_) pix2ang_ring(nSide_,k,theta,phi);
  else pix2ang_nest(nSide_,k,theta,phi);
}

//! Set all pixels to value v 
template <class T>
T SphereHEALPix<T>::SetPixels(T v)
{
pixels_.Reset(v);
return(v);
}



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

  \return (theta,phi) coordinates of middle of  pixel with "NESTED" index k
template<class T>
void SphereHEALPix<T>::PixThetaPhiNest(int_4 k,double& theta,double& phi) const

{   
  pix2ang_nest(nSide_,k,theta,phi);
}
*/

//!  Conversion from NESTED index  into RING index 
template<class T>
int_4 SphereHEALPix<T>::NestToRing(int_4 k) const
{
  return  nest2ring(nSide_,k);
}

//!  Conversion from  RING index  into NESTED index 
template<class T>
int_4 SphereHEALPix<T>::RingToNest(int_4 k) const
{
  return  ring2nest(nSide_,k);
}

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

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

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

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

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

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

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

template <class T>
SphereHEALPix<T>& SphereHEALPix<T>::AddElt(const SphereHEALPix<T>& a)
{
  if (NbPixels() != a.NbPixels() )
    throw(SzMismatchError("SphereHEALPix<T>::AddElt(a) SizeMismatch")) ;
  if (fgring_ != a.fgring_) 
    throw(ParmError("SphereHEALPix<T>::AddElt(a) different pixelisation RING<>NESTED")) ;

  pixels_ += a.pixels_;
  return (*this);
}

//! Substract two SphereHEALPix
template <class T>
SphereHEALPix<T>& SphereHEALPix<T>::SubElt(const SphereHEALPix<T>& a)
{
  if (NbPixels() != a.NbPixels() )
    throw(SzMismatchError("SphereHEALPix<T>::SubElt(a) SizeMismatch")) ;
  if (fgring_ != a.fgring_) 
    throw(ParmError("SphereHEALPix<T>::SubElt(a) different pixelisation RING<>NESTED")) ;

  pixels_ -= a.pixels_;
  return (*this);
}

//! Multiply two SphereHEALPix (elements by elements)
template <class T>
SphereHEALPix<T>& SphereHEALPix<T>::MulElt(const SphereHEALPix<T>& a)
{
  if (NbPixels() != a.NbPixels() )
    throw(SzMismatchError("SphereHEALPix<T>::MulElt(a) SizeMismatch")) ;
  if (fgring_ != a.fgring_) 
    throw(ParmError("SphereHEALPix<T>::MulElt(a) different pixelisation RING<>NESTED")) ;

  pixels_ *= a.pixels_;
  return (*this);
}

//! Divide two SphereHEALPix (elements by elements) - No protection for divide by 0
template <class T>
SphereHEALPix<T>& SphereHEALPix<T>::DivElt(const SphereHEALPix<T>& a)
{
  if (NbPixels() != a.NbPixels() )
    throw(SzMismatchError("SphereHEALPix<T>::DivElt(a) SizeMismatch")) ;
  if (fgring_ != a.fgring_) 
    throw(ParmError("SphereHEALPix<T>::DivElt(a) different pixelisation RING<>NESTED")) ;
  pixels_ /= a.pixels_;
  return (*this);
}




template <class T>
void SphereHEALPix<T>::print(ostream& os) const
{
  Show(os);
  os << "SphereHEALPix<T>(" << TypeOfMap() << ") NSide= " 
     << nSide_ << " nPix_   = " << nPix_  << " omeg_ = " << omeg_   << endl;

  if(this->mInfo_) os << "  DVList Info= " << *(this->mInfo_) << endl;
  os << "... Pixel values : ";
  for(int i=0; i < nPix_; i++)
    {
      if(i%5 == 0) os << endl;
      os <<  pixels_(i) <<", ";
    }
  os << endl;


}



//*******************************************************************

#ifdef __CXX_PRAGMA_TEMPLATES__
#pragma define_template SphereHEALPix<uint_2>
#pragma define_template SphereHEALPix<int_4>
#pragma define_template SphereHEALPix<r_8>
#pragma define_template SphereHEALPix<r_4>
#pragma define_template SphereHEALPix< complex<r_4> >
#pragma define_template SphereHEALPix< complex<r_8> >
#endif
#if defined(ANSI_TEMPLATES) || defined(GNU_TEMPLATES)
namespace SOPHYA {
template class SphereHEALPix<uint_2>;
template class SphereHEALPix<int_4>;
template class SphereHEALPix<r_8>;
template class SphereHEALPix<r_4>;
template class SphereHEALPix< complex<r_4> >;
template class SphereHEALPix< complex<r_8> >;
}
#endif