/*
    DFT++ is a density functional package developed by the research group
    of Professor Tomas Arias

    Copyright 1996-2003 Sohrab Ismail-Beigi

    This file is part of DFT++.

    DFT++ is free software; you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation; either version 2 of the License, or
    (at your option) any later version.

    DFT++ is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with DFT++; if not, write to the Free Software
    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA

    Please see the file CREDITS for a list of authors.

    For academic users, we request that publications using results obtained with
    this software reference

    "New algebraic formulation of density functional calculation," by Sohrab Ismail-Beigi
    and T.A. Arias, Computer Physics Communications 128:1-2, 1-45 (June 2000).

    and, if using the wavelet basis, further reference

    "Multiresolution analysis of electronic structure: semicardinal and wavelet bases,"
    T.A. Arias, Reviews of Modern Physics 71:1, 267-311 (January 1999).

    and 

    "Robust ab initio calculation of condensed matter: transparent convergence through
    semicardinal multiresolution analysis,'' I.P. Daykov, T.A. Arias, and
    Torkel D. Engeness, Physical Review Letters, 90:21, 216402 (May 2003).

    For your convenience, preprints of the above articles may be obtained from
    http://arXiv.org/abs/cond-mat/9909130, 9805262, and 0204411, respectively.
*/

#include "header.h"

/*
extern void
CopyBlochPad(struct Grid *outre, struct Grid *outim,
             struct Grid *inre, struct Grid *inim,
             struct Dvec kvec, struct Ivec pad);

extern void
CopyfromPadded(struct Grid *output, struct Grid *input, struct Ivec pad);
*/

void apply_I(const WL_ComplexColumn &input, WL_ComplexColumn &output)
{
#ifdef DFT_PROFILING
  timerOn(34);   // Turn on I timer
  counterIncr(12); // increment I counter
#endif // DFT_PROFILING

  if (input.representation == REALSPACE) 
    dft_log("**> Trying to take I of realspace column.\n");
  
  // Set the representation and quantum numbers of the output.
  output.representation=REALSPACE;

    
  // Declare workspace variables for operators.
  real *workspace1, *workspace2;

  // Allocate workspaces
  workspace1= (real *) mymalloc(input.basis->lwork*sizeof(real),
                                "workspace1", "apply_I");
  
  workspace2= (real *) mymalloc(input.basis->lwork*sizeof(real),
                                "workspace2", "apply_I");


  //switch between algorithms for sparse/dense
  if(input.embedding==output.embedding){
    Gridspec *gridspec;
    
    // choose the appropriate <sparse|dense> gridspec
    switch(input.embedding){
      case SPARSE:
        gridspec = input.basis_spec->gridspec;
        break;
      case DENSE:
        gridspec = input.basis_spec->gridspec_dense;
        break;
      default:
        die("apply_I: Unknown  input embedding %d\n",input.embedding);
    }
    
    
    Grid *temp = mkgridnew(gridspec,NULL);
    
    // I also works in place.
    GetRe(temp,input); zeroghostrec(temp);
    I(temp,workspace1,workspace2,input.basis->lwork);
    PutRe(temp,output);
    
    GetIm(temp,input); zeroghostrec(temp);
    I(temp,workspace1,workspace2,input.basis->lwork);
    PutIm(temp,output);
    
    killgridnew(temp);
    
  } else if (input.embedding==SPARSE && output.embedding==DENSE){
//    die("I(%s, %s) not implemented yet\n",
//        input.getembedding(),output.getembedding());
    Gridspec *ingridspec=input.basis_spec->gridspec;
    Gridspec *outgridspec=input.basis_spec->gridspec_dense;

    Grid *colre = mkgridnew(ingridspec,NULL);
    Grid *colim = mkgridnew(ingridspec,NULL);

    Grid *Icolre = mkgridnew(outgridspec,NULL);
    Grid *Icolim = mkgridnew(outgridspec,NULL);

    GetRe(colre, input); zeroghostrec(colre);
    GetIm(colim, input); zeroghostrec(colim);

    struct Dvec kvec;
    if(input.basis->qnum){ // hack it chargedensities don't have qnum
        kvec.x=input.basis->qnum->kvec.v[0];
        kvec.y=input.basis->qnum->kvec.v[1];
        kvec.z=input.basis->qnum->kvec.v[2];
    } else kvec=NULLDVEC;
    
    I_S2D(Icolre,Icolim,colre, colim, kvec,\
          workspace1,workspace2,input.basis->lwork);

    PutRe(Icolre, output);
    PutIm(Icolim, output);

    killgridnew(colre); killgridnew(colim);
    killgridnew(Icolre); killgridnew(Icolim);
    
  } else
    die("Don't know how to I(%s, %s)\n",
        input.getembedding(), output.getembedding());

  myfree(workspace1); myfree(workspace2);

#ifdef DFT_PROFILING
  timerOff(34);   // Turn off I timer
#endif // DFT_PROFILING
}


void
apply_J(const WL_ComplexColumn &input, WL_ComplexColumn &output)
{
#ifdef DFT_PROFILING
  timerOn(35);   // Turn on J timer
  counterIncr(14); // J counter
#endif // DFT_PROFILING

  if (input.representation == COEFFSPACE) 
    dft_log("**> Trying to take J of coeffspace column.\n");
  
  // Set the representation and quantum numbers of the output.
  output.representation=COEFFSPACE;
  if(output.embedding!=input.embedding)
    die("Cannot do apply_J(%s, %s)! Write me!\n", input.getembedding(), output.getembedding());
//  output.kvec=input.kvec; 
  
  
  // Declare workspace variables for operators.
  real *workspace1, *workspace2;
  
  // Allocate workspaces
  workspace1= (real *) mymalloc(input.basis->lwork*sizeof(real),
                                "workspace1", "apply_J");
  
  workspace2= (real *) mymalloc(input.basis->lwork*sizeof(real),
                                "workspace2", "apply_J");

  if(input.embedding!=output.embedding)
    die("Embeddings must match for J(col, col)\n");
  
  
  Gridspec *gridspec;
  
  // choose the appropriate gridspec
  switch(input.embedding){
    case SPARSE:
      gridspec = input.basis_spec->gridspec;
      break;
    case DENSE:
      gridspec = input.basis_spec->gridspec_dense;
      break;
    default:
      die("apply_J: Unknown  input embedding %d\n",input.embedding);
  }
     
  Grid *temp= mkgridnew(gridspec,NULL);

  
  // J appears to work in-place on the input.
  GetRe(temp,input);
  adjustdown(temp);
  J(temp,workspace1,workspace2,input.basis->lwork);
  PutRe(temp,output);
  
  GetIm(temp,input);
  adjustdown(temp);
  J(temp,workspace1,workspace2,input.basis->lwork);
  PutIm(temp,output);
  
  killgridnew(temp);
  
  myfree(workspace1); myfree(workspace2);

#ifdef DFT_PROFILING
  timerOff(35);   // Turn off J timer
#endif // DFT_PROFILING
}


void
apply_Idag(const WL_ComplexColumn &input, WL_ComplexColumn &output)
{
#ifdef DFT_PROFILING
  timerOn(36);   // Turn on Idag timer
  counterIncr(13); // Idag counter
#endif // DFT_PROFILING

  if (input.representation==COEFFSPACE) 
    dft_log("**> Trying to take Idag of coeffspace column.\n");
  
  // Set the representation and quantum numbers of the output.
  output.representation=COEFFSPACE;

  
  // Declare workspace variables for operators.
  real *workspace1, *workspace2;
  
  // Allocate workspaces
  workspace1= (real *) mymalloc(input.basis->lwork*sizeof(real),
                                "workspace1", "apply_Idag");
  
  workspace2= (real *) mymalloc(input.basis->lwork*sizeof(real),
                                "workspace2", "apply_Idag");
  

  
  
  //switch between algorithms for sparse/dense
  if(input.embedding==output.embedding){
    Gridspec *gridspec;
    
    // choose the appropriate <sparse|dense> gridspec
    switch(input.embedding){
      case SPARSE:
        gridspec = input.basis_spec->gridspec;
        break;
      case DENSE:
        gridspec = input.basis_spec->gridspec_dense;
        break;
      default:
        die("apply_Idag: Unknown  input embedding %d\n",input.embedding);
    }
    
    Grid *temp = mkgridnew(gridspec,NULL);
    
    // Idag works in-place.
    GetRe(temp,input);
    adjustdown(temp); // shouldn't be necessary
    Idag(temp,workspace1,workspace2,input.basis->lwork);
    PutRe(temp,output);
    
    GetIm(temp,input);
    adjustdown(temp); // shouldn't be necessary
    Idag(temp,workspace1,workspace2,input.basis->lwork);
    PutIm(temp,output);
    
    
    // release the temp  memory
    killgridnew(temp);

  }else if (input.embedding==DENSE && output.embedding==SPARSE){
//      die("apply_Idag(%s, %s) not implemented yet\n",
//          input.getembedding(), output.getembedding());
    Gridspec *ingridspec=input.basis_spec->gridspec_dense;
    Gridspec *outgridspec=input.basis_spec->gridspec;

    Grid *colre = mkgridnew(ingridspec,NULL);
    Grid *colim = mkgridnew(ingridspec,NULL);

    Grid *Icolre = mkgridnew(outgridspec,NULL);
    Grid *Icolim = mkgridnew(outgridspec,NULL);

    
    GetRe(colre, input); 
    GetIm(colim, input); 

    struct Dvec kvec;
    if(input.basis->qnum){ // hack it chargedensities don't have qnum
        kvec.x=input.basis->qnum->kvec.v[0];
        kvec.y=input.basis->qnum->kvec.v[1];
        kvec.z=input.basis->qnum->kvec.v[2];
    } else kvec=NULLDVEC;
    
    Idag_D2S(Icolre,Icolim,colre, colim, kvec,\
             workspace1,workspace2,input.basis->lwork);

    PutRe(Icolre, output);
    PutIm(Icolim, output);

    killgridnew(colre); killgridnew(colim);
    killgridnew(Icolre); killgridnew(Icolim);
    
  } else
    die("Don't know how to Idag(%s, %s)\n",
        input.getembedding(), output.getembedding());
  
  myfree(workspace1); myfree(workspace2);

#ifdef DFT_PROFILING
  timerOff(36);   // Turn off Idag timer
#endif // DFT_PROFILING  
}


void
apply_Jdag(const WL_ComplexColumn &input, WL_ComplexColumn &output)
{
#ifdef DFT_PROFILING
  timerOn(37);   // Turn on Jdag timer
  counterIncr(15); // Jdag counter
#endif // DFT_PROFILING

  if (input.representation==REALSPACE) 
    dft_log("**> Trying to take Jdag of realspace column.\n");
  
  // Set the representation and quantum numbers of the output.
  output.representation=REALSPACE;
  
  
  // Allocate workspaces
  real *workspace1= (real *) mymalloc(input.basis->lwork*sizeof(real),
                                     "workspace1", "apply_Jdag");
  
  real *workspace2= (real *) mymalloc(input.basis->lwork*sizeof(real),
                                     "workspace2", "apply_Jdag");
  
  if(input.embedding!=output.embedding)
    die("Embeddings must match for Jdag(col, col)\n");
  

  Gridspec *gridspec;
  
  // choose the appropriate gridspec
  switch(input.embedding){
    case SPARSE:
      gridspec = input.basis_spec->gridspec;
      break;
    case DENSE:
      gridspec = input.basis_spec->gridspec_dense;
      break;
    default:
      die("apply_Jdag: Unknown  input embedding %d\n",input.embedding);
  }
  
  Grid *temp = mkgridnew(gridspec,NULL);
  
  // Jdag works in-place.
  GetRe(temp,input);
  zeroghostrec(temp); //shouldn't be necessary
  Jdag(temp,workspace1,workspace2,input.basis->lwork);
  PutRe(temp,output);
  
  GetIm(temp,input);
  zeroghostrec(temp); //shouldn't be necessary
  Jdag(temp,workspace1,workspace2,input.basis->lwork);
  PutIm(temp,output);
  
  // release the temp  memory
  killgridnew(temp);
  
  myfree(workspace1); myfree(workspace2);
  
#ifdef DFT_PROFILING
  timerOff(37);   // Turn off Jdag timer
#endif // DFT_PROFILING
}

void
apply_D(int d,int dag,const WL_ComplexColumn &in, WL_ComplexColumn &out)
{
//    out=in;
//    return;

  /* Sanity checks */
  if(dag<0 || dag>1)
    die("Illegal value of input variable dag in apply_D()!\n");
  if(d<0 || dag>2)
    die("Illegal value of input variable d in apply_D()!\n");

  /* Process real/coeff space issues */
  if (dag==0)
    if (in.representation == COEFFSPACE) 
      printf("Trying to take Di of coeffspace column.\n");
    else
      out.representation=REALSPACE;
  else
    if (in.representation == COEFFSPACE)
      printf("Trying to take Didag of coeffspace column.\n");
    else
      out.representation=REALSPACE;

  if(out.embedding!=in.embedding)
    die("Cannot do apply_D(%s, %s)! Write me!\n", in.getembedding(), out.getembedding());
  
  // Declare workspace variables for operators.
  real *work1, *work2;
  
  // Allocate workspaces
  work1= (real *) mymalloc(in.basis->lwork*sizeof(real),
                                "work1", "apply_D");
  
  work2= (real *) mymalloc(in.basis->lwork*sizeof(real),
                                "work2", "apply_D");

  if(in.embedding!=out.embedding)
    die("Embeddings must match for apply_D(col, col)\n");
  
  
  Gridspec *gridspec;
  
  // choose the appropriate gridspec
  switch(in.embedding){
    case SPARSE:
      gridspec = in.basis_spec->gridspec;
      break;
    case DENSE:
      gridspec = in.basis_spec->gridspec_dense;
      break;
    default:
      die("apply_D: Unknown  input embedding %d\n",in.embedding);
  }

  /* This seems like a LOT of extra grids.  Could improve this by
     reprogramming D and Ddag to work in place */
  Grid *temp1= mkgridnew(gridspec,NULL);
  Grid *temp2= mkgridnew(gridspec,NULL);
  Grid *work= mkgridnew(gridspec,NULL);
  
  GetRe(temp1,in);
  if (dag==0) {
    J(temp1,work1,work2,in.basis->lwork);
    D(d,temp2,temp1,work,work1,work2,in.basis->lwork);
  }
  else {
    Ddag(d,temp2,temp1,work,work1,work2,in.basis->lwork);
    Jdag(temp2,work1,work2,in.basis->lwork);
  }
  PutRe(temp2,out);
  
  GetIm(temp1,in);
  if (dag==0) {
    J(temp1,work1,work2,in.basis->lwork);
    D(d,temp2,temp1,work,work1,work2,in.basis->lwork);
  }
  else {
    Ddag(d,temp2,temp1,work,work1,work2,in.basis->lwork);
    Jdag(temp2,work1,work2,in.basis->lwork);
  }
  PutIm(temp2,out);
  
  killgridnew(temp1);
  killgridnew(temp2);
  killgridnew(work);
  
  myfree(work1); myfree(work2);
}


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