| 1 | /** \file pseudo.c
 | 
|---|
| 2 |  * PseudoPotentials to approximate core densities for plane waves.
 | 
|---|
| 3 |  * Note: Pseudopotentials replace the electron-core-interaction potential \f$V^{El-K}\f$.
 | 
|---|
| 4 |  * 
 | 
|---|
| 5 |  * Herein are various functions dealing with the Pseudopotential approximation, which
 | 
|---|
| 6 |  * calculate local and non-local form factors FormFacGauss(), FormFacLocPot(), FormFacNonLocPot(),
 | 
|---|
| 7 |  * energies CalculateNonLocalEnergyNoRT(), CalculateIonNonLocalForce(), CalculateSomeEnergyAndHGNoRT()
 | 
|---|
| 8 |  * and forces CalculateIonLocalForce(), CalculateIonNonLocalForce(),
 | 
|---|
| 9 |  * also small functions for evaluating often used expressions: CalcExpiGR(), dexpiGRpkg(), Get_pkga_MinusG(),
 | 
|---|
| 10 |  * CalculateCDfnl(), CalcSG(), CalcCoreCorrection() - some of these are updated in case of new waves or
 | 
|---|
| 11 |  * finer mesh by calling UpdatePseudoToNewWaves(), ChangePseudoToLevUp(),
 | 
|---|
| 12 |  * for allocation and parameter readin InitPseudoRead() and memory deallocation
 | 
|---|
| 13 |  * RemovePseudoRead().
 | 
|---|
| 14 |  * 
 | 
|---|
| 15 |  * Missing so far are: CalculateAddNLPot()
 | 
|---|
| 16 |  * 
 | 
|---|
| 17 |   Project: ParallelCarParrinello
 | 
|---|
| 18 |  \author Jan Hamaekers
 | 
|---|
| 19 |  \date 2000
 | 
|---|
| 20 | 
 | 
|---|
| 21 |   File: pseudo.c
 | 
|---|
| 22 |   $Id: pseudo.c,v 1.51 2007-03-29 13:38:47 foo Exp $
 | 
|---|
| 23 | */
 | 
|---|
| 24 | 
 | 
|---|
| 25 | #include <stdlib.h>
 | 
|---|
| 26 | #include <stdio.h>
 | 
|---|
| 27 | #include <stddef.h>
 | 
|---|
| 28 | #include <math.h>
 | 
|---|
| 29 | #include <string.h>
 | 
|---|
| 30 | 
 | 
|---|
| 31 | 
 | 
|---|
| 32 | // use double precision fft when we have it
 | 
|---|
| 33 | #ifdef HAVE_CONFIG_H
 | 
|---|
| 34 | #include <config.h>
 | 
|---|
| 35 | #endif
 | 
|---|
| 36 | 
 | 
|---|
| 37 | #ifdef HAVE_DFFTW_H
 | 
|---|
| 38 | #include "dfftw.h"
 | 
|---|
| 39 | #else
 | 
|---|
| 40 | #include "fftw.h"
 | 
|---|
| 41 | #endif
 | 
|---|
| 42 | 
 | 
|---|
| 43 | #include "data.h"
 | 
|---|
| 44 | #include "errors.h"
 | 
|---|
| 45 | #include "helpers.h"
 | 
|---|
| 46 | #include "ions.h"
 | 
|---|
| 47 | #include "init.h"
 | 
|---|
| 48 | #include "mymath.h"
 | 
|---|
| 49 | #include "myfft.h"
 | 
|---|
| 50 | #include "pseudo.h"
 | 
|---|
| 51 | #include "run.h"
 | 
|---|
| 52 | 
 | 
|---|
| 53 | /** Calculates structure factor \f$S_{I_s} (G)\f$.
 | 
|---|
| 54 |  * \f[
 | 
|---|
| 55 |  *    S_{I_s} (G) = \sum_{I_a} \exp(i G\cdot R_{I_s,I_a}) \qquad (4.14)
 | 
|---|
| 56 |  * \f]
 | 
|---|
| 57 |  * \param *P Problem at hand
 | 
|---|
| 58 |  */
 | 
|---|
| 59 | static void CalcSG(struct Problem *P) 
 | 
|---|
| 60 | {
 | 
|---|
| 61 |   struct PseudoPot *PP = &P->PP;
 | 
|---|
| 62 |   struct Ions *I = &P->Ion;
 | 
|---|
| 63 |   struct RunStruct *R = &P->R;
 | 
|---|
| 64 |   struct LatticeLevel *Lev0 = R->Lev0;
 | 
|---|
| 65 |   fftw_complex dS;
 | 
|---|
| 66 |   double dSPGRi;
 | 
|---|
| 67 |   int it,iot,g;
 | 
|---|
| 68 |   struct OneGData *G = R->Lev0->GArray;
 | 
|---|
| 69 |   for (it=0; it < I->Max_Types; it++)
 | 
|---|
| 70 |     for (g=0; g < Lev0->MaxG; g++) {
 | 
|---|
| 71 |       c_re(dS) = 0;
 | 
|---|
| 72 |       c_im(dS) = 0;
 | 
|---|
| 73 |       for (iot=0; iot < I->I[it].Max_IonsOfType; iot++) {
 | 
|---|
| 74 |         dSPGRi = RSP3(G[g].G,&I->I[it].R[NDIM*iot]);
 | 
|---|
| 75 |         c_re(PP->ei[it][iot][g]) = cos(dSPGRi);
 | 
|---|
| 76 |         c_im(PP->ei[it][iot][g]) = -sin(dSPGRi);
 | 
|---|
| 77 |         c_re(dS) += c_re(PP->ei[it][iot][g]);
 | 
|---|
| 78 |         c_im(dS) += c_im(PP->ei[it][iot][g]);
 | 
|---|
| 79 |       }
 | 
|---|
| 80 |       c_re(I->I[it].SFactor[g]) = c_re(dS);
 | 
|---|
| 81 |       c_im(I->I[it].SFactor[g]) = c_im(dS);
 | 
|---|
| 82 |     }
 | 
|---|
| 83 | }
 | 
|---|
| 84 | 
 | 
|---|
| 85 | 
 | 
|---|
| 86 | /** Calculates \f$\exp(-i(G\cdot R)) = \cos(GR) - i\cdot\sin(GR)\f$.
 | 
|---|
| 87 |  * Fills PseudoPot::expiGR array.
 | 
|---|
| 88 |  * \param *P Problem at hand
 | 
|---|
| 89 |  * \sa expiGR() for element retrieval
 | 
|---|
| 90 |  */
 | 
|---|
| 91 | static void CalcExpiGR(struct Problem *P) 
 | 
|---|
| 92 | {
 | 
|---|
| 93 |   struct PseudoPot *PP = &P->PP;
 | 
|---|
| 94 |   struct Ions *I = &P->Ion;
 | 
|---|
| 95 |   struct RunStruct *R = &P->R;
 | 
|---|
| 96 |   struct LatticeLevel *LevS = R->LevS;
 | 
|---|
| 97 |   double dSPGRi;
 | 
|---|
| 98 |   int it,iot,g;
 | 
|---|
| 99 |   struct OneGData *G = LevS->GArray;
 | 
|---|
| 100 |   for (it=0; it < I->Max_Types; it++)
 | 
|---|
| 101 |     for (iot=0; iot < I->I[it].Max_IonsOfType; iot++)
 | 
|---|
| 102 |       for (g=0; g < LevS->MaxG; g++) {
 | 
|---|
| 103 |         dSPGRi = RSP3(G[g].G,&I->I[it].R[NDIM*iot]);
 | 
|---|
| 104 |         c_re(PP->expiGR[it][iot][g]) = cos(dSPGRi);
 | 
|---|
| 105 |         c_im(PP->expiGR[it][iot][g]) = -sin(dSPGRi);
 | 
|---|
| 106 |       }
 | 
|---|
| 107 | }
 | 
|---|
| 108 | 
 | 
|---|
| 109 | /** Calculates \f$\exp(-i(G)R_{I_s,I_a})\f$.
 | 
|---|
| 110 |  * \param *PP PseudoPot ential structure
 | 
|---|
| 111 |  * \param it ion type \f$I_s\f$
 | 
|---|
| 112 |  * \param iot ion number within certain type (ion of type) \f$I_a\f$
 | 
|---|
| 113 |  * \param g reciprocal grid vector from GArray
 | 
|---|
| 114 |  * \param *res complex return value
 | 
|---|
| 115 |  * \sa CalcExpiGR() fills the array
 | 
|---|
| 116 |  */
 | 
|---|
| 117 | #ifdef HAVE_INLINE
 | 
|---|
| 118 | inline static void expiGR(struct PseudoPot *PP, int it, int iot, int g, fftw_complex *res) {
 | 
|---|
| 119 | #else
 | 
|---|
| 120 | static void expiGR(struct PseudoPot *PP, int it, int iot, int g, fftw_complex *res) {
 | 
|---|
| 121 | #endif
 | 
|---|
| 122 |   c_re(res[0]) = c_re(PP->expiGR[it][iot][g]);
 | 
|---|
| 123 |   c_im(res[0]) = c_im(PP->expiGR[it][iot][g]);
 | 
|---|
| 124 | }   
 | 
|---|
| 125 | 
 | 
|---|
| 126 | /** Calculates \f$\exp(-i(G)R_{I_s,I_a})\phi_{I_s,l,m}^{ps,nl} (G)\f$.
 | 
|---|
| 127 |  * \param *PP PseudoPot ential structure
 | 
|---|
| 128 |  * \param it ion type \f$I_s\f$
 | 
|---|
| 129 |  * \param iot ion number within certain type (ion of type), \f$I_a\f$
 | 
|---|
| 130 |  * \param ilm m value for ion type
 | 
|---|
| 131 |  * \param g reciprocal grid vector from GArray
 | 
|---|
| 132 |  * \param *res complex return value
 | 
|---|
| 133 |  */
 | 
|---|
| 134 | #ifdef HAVE_INLINE
 | 
|---|
| 135 | inline static void dexpiGRpkg(struct PseudoPot *PP, int it, int iot, int ilm, int g, fftw_complex *res) {
 | 
|---|
| 136 | #else
 | 
|---|
| 137 | static void dexpiGRpkg(struct PseudoPot *PP, int it, int iot, int ilm, int g, fftw_complex *res) {
 | 
|---|
| 138 | #endif
 | 
|---|
| 139 |   expiGR(PP, it, iot, g, res); 
 | 
|---|
| 140 |   c_re(res[0]) = c_re(res[0])*PP->phi_ps_nl[it][ilm-1][g];
 | 
|---|
| 141 |   c_im(res[0]) = -c_im(res[0])*PP->phi_ps_nl[it][ilm-1][g];
 | 
|---|
| 142 | }
 | 
|---|
| 143 | 
 | 
|---|
| 144 | /** Calculates Gaussian form factor \f$\phi^{gauss}_{I_s}\f$.
 | 
|---|
| 145 |  * \f$I_s\f$ ion types, V volume of cell, \f$r_I^{Gauss}\f$ is defined by the
 | 
|---|
| 146 |  * core charge within via \f$n^{Gauss}\f$, G reciprocal grid vector 
 | 
|---|
| 147 |  * \f[
 | 
|---|
| 148 |  *      \phi^{gauss}_{I_s} = - \frac{Z_{I_s}}{V} \exp(-\frac{1}{4} (r^{Gauss}_{I_s})^2 |G|^2)
 | 
|---|
| 149 |  *  \qquad (4.23)
 | 
|---|
| 150 |  * \f]
 | 
|---|
| 151 |  * \param *P Problem at hand
 | 
|---|
| 152 |  */
 | 
|---|
| 153 | static void FormFacGauss(struct Problem *P) 
 | 
|---|
| 154 | {
 | 
|---|
| 155 |   struct PseudoPot *PP = &P->PP;
 | 
|---|
| 156 |   struct Ions *I = &P->Ion;
 | 
|---|
| 157 |   struct Lattice *Lat = &P->Lat;
 | 
|---|
| 158 |   struct RunStruct *R = &P->R;
 | 
|---|
| 159 |   struct LatticeLevel *Lev0 = R->Lev0;
 | 
|---|
| 160 |   double dFac;
 | 
|---|
| 161 |   int it, g;
 | 
|---|
| 162 |   struct OneGData *G = Lev0->GArray;
 | 
|---|
| 163 |   for (it=0; it < I->Max_Types; it++) { // for each all types ...
 | 
|---|
| 164 |     dFac = 0.25*I->I[it].rgauss*I->I[it].rgauss;
 | 
|---|
| 165 |     for (g=0; g < Lev0->MaxG; g++) {    // for each reciprocal grid vector ...
 | 
|---|
| 166 |       PP->FacGauss[it][g] = -PP->zval[it]/Lat->Volume*exp(-dFac*G[g].GSq);
 | 
|---|
| 167 |     }
 | 
|---|
| 168 |   }
 | 
|---|
| 169 | }
 | 
|---|
| 170 | 
 | 
|---|
| 171 | /** Calculates local PseudoPot form factor \f$\phi_{I_s}^{ps,loc} (G)\f$.
 | 
|---|
| 172 |  * \f$I_s\f$ ion types, \f$I_a\f$ ion number of type, V volume of cell, 
 | 
|---|
| 173 |  * \f$r_I^{Gauss}\f$ is defined by the core charge within via \f$n^{Gauss}\f$,
 | 
|---|
| 174 |  * G reciprocal grid vector
 | 
|---|
| 175 |  * \f[
 | 
|---|
| 176 |  *      \phi_{I_s}^{ps,loc} (G) = \frac{4}{\pi} \int_0^\infty r^2 j_0(r|G|)
 | 
|---|
| 177 |  *              \Bigr ( \nu_{I_s}^{loc} (r) + \frac{Z_{I_s}}{r}erf\bigr ( \frac{r}
 | 
|---|
| 178 |  *              {r_{I_s}^{Gauss}} \bigl )\Bigl )
 | 
|---|
| 179 |  *  \qquad (4.15)
 | 
|---|
| 180 |  * \f]
 | 
|---|
| 181 |  * \param *P Problem at hand
 | 
|---|
| 182 |  * \note profiling says, sin()/cos() is biggest cpu hog
 | 
|---|
| 183 |  */
 | 
|---|
| 184 | static void FormFacLocPot(struct Problem *P) 
 | 
|---|
| 185 | {
 | 
|---|
| 186 |   struct PseudoPot *PP = &P->PP;
 | 
|---|
| 187 |   struct Ions *I = &P->Ion;
 | 
|---|
| 188 |   struct Lattice *Lat = &P->Lat;
 | 
|---|
| 189 |   struct RunStruct *R = &P->R;
 | 
|---|
| 190 |   struct LatticeLevel *Lev0 = R->Lev0;
 | 
|---|
| 191 |   double vv,dint,darg;
 | 
|---|
| 192 |   int I_s, ll, ir, g;                   // I_s = iontype, ir = ion radial pos, s = counter for g (0 treated specially), g index for Grid vectors GArray
 | 
|---|
| 193 |   struct OneGData *G = Lev0->GArray;
 | 
|---|
| 194 |   for (I_s=0; I_s < I->Max_Types; I_s++) {
 | 
|---|
| 195 |     ll = I->I[I_s].l_loc-1;
 | 
|---|
| 196 |     for (ir = 0; ir < PP->mmax[I_s]; ir++) {     //fill integrand1 function array with its values: Z/r * erf(r/R_g)
 | 
|---|
| 197 |       if (fabs(PP->r[I_s][ir]) < MYEPSILON) fprintf(stderr,"FormFacLocPot: PP->r[it][ir] = %lg\n",PP->r[I_s][ir]);
 | 
|---|
| 198 |       if (fabs(I->I[I_s].rgauss) < MYEPSILON) fprintf(stderr,"FormFacLocPot: I->I[it].rgauss = %lg\n",I->I[I_s].rgauss);
 | 
|---|
| 199 |       vv = -PP->zval[I_s]/PP->r[I_s][ir] * derf(PP->r[I_s][ir]/I->I[I_s].rgauss);
 | 
|---|
| 200 |       PP->integrand1[ir] = PP->v_loc[I_s][ll][ir]-vv;
 | 
|---|
| 201 |     }
 | 
|---|
| 202 |     g=0;
 | 
|---|
| 203 |     if (Lev0->GArray[0].GSq == 0.0) {   // if grid vectors contain zero vector, treat special
 | 
|---|
| 204 |       for (ir = 0; ir < PP->mmax[I_s]; ir++) {  // fill the to be integrated function array with its values
 | 
|---|
| 205 |                     PP->integrand[ir] = PP->integrand1[ir]*PP->r[I_s][ir]*PP->r[I_s][ir]*PP->r[I_s][ir];
 | 
|---|
| 206 |       }
 | 
|---|
| 207 |       dint = Simps(PP->mmax[I_s],PP->integrand,PP->clog[I_s]);  // do the integration
 | 
|---|
| 208 |       PP->phi_ps_loc[I_s][0] = dint*4.*PI/Lat->Volume;
 | 
|---|
| 209 |       g++;
 | 
|---|
| 210 |     }
 | 
|---|
| 211 |     for (; g < Lev0->MaxG; g++) {       // pre-calculate for the rest of all the grid vectors
 | 
|---|
| 212 |       for (ir = 0; ir < PP->mmax[I_s]; ir++) {   // r^3 * j_0 * dummy1
 | 
|---|
| 213 |                 darg = PP->r[I_s][ir]*sqrt(G[g].GSq);
 | 
|---|
| 214 |         if (fabs(darg) < MYEPSILON) fprintf(stderr,"FormFacLocPot: darg = %lg\n",darg);
 | 
|---|
| 215 |         PP->integrand[ir] = PP->integrand1[ir]*sin(darg)/darg*PP->r[I_s][ir]*PP->r[I_s][ir]*PP->r[I_s][ir];
 | 
|---|
| 216 |       }
 | 
|---|
| 217 |       dint = Simps(PP->mmax[I_s],PP->integrand,PP->clog[I_s]);
 | 
|---|
| 218 |       PP->phi_ps_loc[I_s][g] = dint*4.*PI/Lat->Volume;
 | 
|---|
| 219 |     }
 | 
|---|
| 220 |   }
 | 
|---|
| 221 | }
 | 
|---|
| 222 | 
 | 
|---|
| 223 | /** Determines whether its a symmetric or antisymmetric non-local pseudopotential form factor pkga[][value][].
 | 
|---|
| 224 |  * \param value pgga l value
 | 
|---|
| 225 |  * \return 1 - symmetric (0,4,5,6,7,8) , -1 - antisymmetric (1,2,3)
 | 
|---|
| 226 |  */
 | 
|---|
| 227 | inline static int Get_pkga_MinusG(const int value)
 | 
|---|
| 228 | { 
 | 
|---|
| 229 |   switch (value) {
 | 
|---|
| 230 |   case 0: return(1);
 | 
|---|
| 231 |   case 1:
 | 
|---|
| 232 |   case 2:
 | 
|---|
| 233 |   case 3: return(-1);
 | 
|---|
| 234 |   case 4:
 | 
|---|
| 235 |   case 5:
 | 
|---|
| 236 |   case 6:
 | 
|---|
| 237 |   case 7:
 | 
|---|
| 238 |   case 8: return(1);
 | 
|---|
| 239 |   default:
 | 
|---|
| 240 |     Error(SomeError,"Get_pkga_MinusG: Unknown Value");
 | 
|---|
| 241 |   }
 | 
|---|
| 242 |   return 0;
 | 
|---|
| 243 | }
 | 
|---|
| 244 | 
 | 
|---|
| 245 | /** Calculates non-local PseudoPot form factor \f$\phi_{I_s,l,m}^{ps,nl} (G)\f$ and non-local weight \f$w^{nl}_{I_s,l}\f$.
 | 
|---|
| 246 |  * \f$I_s\f$ ion types, \f$I_a\f$ ion number of type, V volume of cell, 
 | 
|---|
| 247 |  * \f$j_l\f$ Bessel function of l-th order,
 | 
|---|
| 248 |  * G reciprocal grid vector
 | 
|---|
| 249 |  * \f[
 | 
|---|
| 250 |  *      \phi_{I_s,l,m}^{ps,nl} (G) = \sqrt{\frac{4\pi}{2l+1}} \int_0^\infty r^2 j_l(|G|r)
 | 
|---|
| 251 |  *              \Delta \nu^{nl}_{I_s} (r) R_{I_s,l}(r) y_{lm} (\vartheta_G, \varphi_G) dr
 | 
|---|
| 252 |  *  \qquad (4.17)
 | 
|---|
| 253 |  * \f]
 | 
|---|
| 254 |  * \f[
 | 
|---|
| 255 |  *  w^{nl}_{I_s,l} = \frac{4\pi}{V} (2l+1) \Bigr ( \int^\infty_0 r^2 R_{I_s,l} (r)
 | 
|---|
| 256 |  *      \Delta \nu^{nl}_{I_s,l} (r) R_{I_s,l} (r) dr \Bigl )^{-1} 
 | 
|---|
| 257 |  *  \qquad (4.18)
 | 
|---|
| 258 |  * \f]
 | 
|---|
| 259 |  * \param *P Problem at hand
 | 
|---|
| 260 |  * \note see e.g. MathWorld for the spherical harmonics in cartesian coordinates
 | 
|---|
| 261 |  */
 | 
|---|
| 262 | static void FormFacNonLocPot(struct Problem *P) 
 | 
|---|
| 263 | {
 | 
|---|
| 264 |   int I_s,ir,j,ll,il,ml,g,i;
 | 
|---|
| 265 |   double delta_v,arg,ag,fac,cosx,cosy,cosz,dint,sqrt3=sqrt(3.0);
 | 
|---|
| 266 |   struct PseudoPot *PP = &P->PP;
 | 
|---|
| 267 |   struct Ions *I = &P->Ion;
 | 
|---|
| 268 |   struct Lattice *Lat = &P->Lat;
 | 
|---|
| 269 |   struct RunStruct *R = &P->R;
 | 
|---|
| 270 |   struct LatticeLevel *LevS = R->LevS;
 | 
|---|
| 271 |   struct OneGData *G = LevS->GArray;
 | 
|---|
| 272 |   for (I_s=0; I_s < I->Max_Types; I_s++) { // through all ion types
 | 
|---|
| 273 |     ml = -1;        // m value
 | 
|---|
| 274 |     for (il=0; il < I->I[I_s].l_max; il++) { // through all possible l values
 | 
|---|
| 275 |       ll = I->I[I_s].l_loc-1;                // index for the local potential
 | 
|---|
| 276 |       if (il != ll) {
 | 
|---|
| 277 |         // calculate non-local weights
 | 
|---|
| 278 |                                 for (ir = 0; ir < PP->mmax[I_s]; ir++) {
 | 
|---|
| 279 |                                   delta_v = PP->v_loc[I_s][il][ir]-PP->v_loc[I_s][ll][ir];   // v_l - v_l_loc
 | 
|---|
| 280 |                                   PP->integrand2[I_s][ir] = delta_v*PP->R[I_s][il][ir]*PP->r[I_s][ir]*PP->r[I_s][ir];    // for form factor
 | 
|---|
| 281 |                                   PP->integrand1[ir] = delta_v*PP->R[I_s][il][ir]*PP->R[I_s][il][ir]*PP->r[I_s][ir];    // for weight
 | 
|---|
| 282 |                                 } 
 | 
|---|
| 283 |                                 dint = Simps(PP->mmax[I_s],PP->integrand1,PP->clog[I_s]);
 | 
|---|
| 284 |         if (fabs(dint) < MYEPSILON) fprintf(stderr,"FormFacNonLocPot: dint[%d] = %lg\n",I_s,dint);
 | 
|---|
| 285 |                                 if (il+1 < 4) {
 | 
|---|
| 286 |                                   for(j =1; j <= 2*(il+1)-1; j++) {
 | 
|---|
| 287 |                                     PP->wNonLoc[I_s][ml+j]=(2.0*(il+1)-1.0)*4.*PI/Lat->Volume/dint;  // store weight
 | 
|---|
| 288 |                                   }
 | 
|---|
| 289 |                                 }
 | 
|---|
| 290 |         // calculate non-local form factors
 | 
|---|
| 291 |                                 for (g=0; g < LevS->MaxG; g++) { 
 | 
|---|
| 292 |                                   arg = sqrt(G[g].GSq);
 | 
|---|
| 293 |                                   switch (il) {     // switch on the order of the needed bessel function, note: only implemented till second order
 | 
|---|
| 294 |                                   case 0: 
 | 
|---|
| 295 |                                     if (arg == 0.0) {   // arg = 0 ...
 | 
|---|
| 296 |                                       for (ir=0; ir < PP->mmax[I_s]; ir++) {
 | 
|---|
| 297 |                                                                 PP->integrand1[ir] = PP->integrand2[I_s][ir];
 | 
|---|
| 298 |                                       }
 | 
|---|
| 299 |                                     } else {    // ... or evaluate J_0
 | 
|---|
| 300 |                                       for (ir=0; ir < PP->mmax[I_s]; ir++) {
 | 
|---|
| 301 |                                                                 fac=arg*PP->r[I_s][ir];
 | 
|---|
| 302 |                 if (fabs(fac) < MYEPSILON) fprintf(stderr,"FormFacNonLocPot: fac[%d][%d] = %lg\n",I_s,ir,fac);
 | 
|---|
| 303 |                                                                 fac=sin(fac)/fac; // CHECKED: j_0 (x)
 | 
|---|
| 304 |                                                                 PP->integrand1[ir] = fac*PP->integrand2[I_s][ir];
 | 
|---|
| 305 |                                       }
 | 
|---|
| 306 |                                     }
 | 
|---|
| 307 |                                     dint = Simps(PP->mmax[I_s],PP->integrand1,PP->clog[I_s]);
 | 
|---|
| 308 |                                     PP->phi_ps_nl[I_s][ml+1][g]=dint;      // m = 0
 | 
|---|
| 309 |                                     break;
 | 
|---|
| 310 |                                   case 1: 
 | 
|---|
| 311 |                                     if (arg == 0.0) {   // arg = 0 ...
 | 
|---|
| 312 |                                       for (j=1; j <= 3; j++) {
 | 
|---|
| 313 |                                                                 PP->phi_ps_nl[I_s][ml+j][g]=0.0;
 | 
|---|
| 314 |                                       }
 | 
|---|
| 315 |                                     } else {   // ... or evaluate J_1
 | 
|---|
| 316 |                                       for (ir=0; ir < PP->mmax[I_s]; ir++) {
 | 
|---|
| 317 |                                                                 fac=arg*PP->r[I_s][ir];
 | 
|---|
| 318 |                 if (fabs(fac) < MYEPSILON) fprintf(stderr,"FormFacNonLocPot: fac[%d][%d] = %lg\n",I_s,ir,fac);
 | 
|---|
| 319 |                                                                 fac=(sin(fac)/fac-cos(fac))/fac;  // CHECKED: j_1(x)
 | 
|---|
| 320 |                                                                 PP->integrand1[ir] = fac*PP->integrand2[I_s][ir];
 | 
|---|
| 321 |                                       }
 | 
|---|
| 322 |                                       dint = Simps(PP->mmax[I_s],PP->integrand1,PP->clog[I_s]);
 | 
|---|
| 323 |                                       PP->phi_ps_nl[I_s][ml+1][g]=dint*G[g].G[0]/arg; // m = -1
 | 
|---|
| 324 |                                       PP->phi_ps_nl[I_s][ml+2][g]=dint*G[g].G[1]/arg; // m = +1
 | 
|---|
| 325 |                                       PP->phi_ps_nl[I_s][ml+3][g]=dint*G[g].G[2]/arg; // m = 0
 | 
|---|
| 326 |                                     } 
 | 
|---|
| 327 |                                     break;
 | 
|---|
| 328 |                                   case 2:
 | 
|---|
| 329 |                                     if (arg == 0.0) {   // arg = 0 ...
 | 
|---|
| 330 |                                       for (j=1; j <= 5; j++) {
 | 
|---|
| 331 |                                                                 PP->phi_ps_nl[I_s][ml+j][g]=0.0;
 | 
|---|
| 332 |                                       }
 | 
|---|
| 333 |                                     } else {   // ... or evaluate J_2
 | 
|---|
| 334 |                                       for (ir=0; ir < PP->mmax[I_s]; ir++) {
 | 
|---|
| 335 |                                                                 ag=arg*PP->r[I_s][ir];
 | 
|---|
| 336 |                 if (fabs(ag) < MYEPSILON) fprintf(stderr,"FormFacNonLocPot: ag[%d][%d] = %lg\n",I_s,ir,ag);
 | 
|---|
| 337 |                                                                 fac=(3.0/(ag*ag)-1.0)*sin(ag)-3.0/ag*cos(ag);
 | 
|---|
| 338 |                                                                 fac=fac/ag;   // CHECKED: j_2(x)
 | 
|---|
| 339 |                                                                 PP->integrand1[ir] = fac*PP->integrand2[I_s][ir];
 | 
|---|
| 340 |                                       }
 | 
|---|
| 341 |                                       dint = Simps(PP->mmax[I_s],PP->integrand1,PP->clog[I_s]);
 | 
|---|
| 342 |               if (fabs(arg) < MYEPSILON) fprintf(stderr,"FormFacNonLocPot: arg = %lg\n",arg);
 | 
|---|
| 343 |                                       cosx = G[g].G[0]/arg;
 | 
|---|
| 344 |                                       cosy = G[g].G[1]/arg;
 | 
|---|
| 345 |                                       cosz = G[g].G[2]/arg;
 | 
|---|
| 346 |                                       PP->phi_ps_nl[I_s][ml+1][g]=dint*0.5*(3.0*cosz*cosz-1.0);    // m = 0
 | 
|---|
| 347 |                                       PP->phi_ps_nl[I_s][ml+2][g]=dint*sqrt3*cosz*cosx; // m = +1
 | 
|---|
| 348 |                                       PP->phi_ps_nl[I_s][ml+3][g]=dint*sqrt3*cosz*cosy; // m = -1
 | 
|---|
| 349 |                                       PP->phi_ps_nl[I_s][ml+4][g]=dint*sqrt3*cosx*cosy; // m = -2
 | 
|---|
| 350 |                                       PP->phi_ps_nl[I_s][ml+5][g]=dint*sqrt3/2.0*(cosx*cosx-cosy*cosy); // m = +2
 | 
|---|
| 351 |                                     }
 | 
|---|
| 352 |                                     break;
 | 
|---|
| 353 |           default:
 | 
|---|
| 354 |             Error(SomeError, "FormFacNonLocPot: Order of sperhical Bessel function not implemented!");
 | 
|---|
| 355 |             break;
 | 
|---|
| 356 |                                   }
 | 
|---|
| 357 |           // phi_ps_nl_a removed, not needed, just a mem hog
 | 
|---|
| 358 | //                                for (j=1; j<=2*(il+1)-1;j++) {
 | 
|---|
| 359 | //                                  PP->phi_ps_nl_a[I_s][ml+j][g] = PP->phi_ps_nl[I_s][ml+j][g];
 | 
|---|
| 360 | //                                }
 | 
|---|
| 361 |                                 }
 | 
|---|
| 362 |                                 ml += (2*(il+1)-1);
 | 
|---|
| 363 |       }
 | 
|---|
| 364 |     }
 | 
|---|
| 365 |     for (i=0; i < I->I[I_s].l_max*I->I[I_s].l_max-2*I->I[I_s].l_loc+1; i++) 
 | 
|---|
| 366 |       if(P->Call.out[ReadOut]) 
 | 
|---|
| 367 |                                 fprintf(stderr,"wnl:(%i,%i) = %g\n",I_s,i,PP->wNonLoc[I_s][i]);
 | 
|---|
| 368 |   }
 | 
|---|
| 369 | }
 | 
|---|
| 370 | 
 | 
|---|
| 371 | /** Calculates partial core form factors \f$\phi^{pc}_{I_s}(G)\f$ and \f$\hat{n}^{pc} (G)\f$.
 | 
|---|
| 372 |  * \f[
 | 
|---|
| 373 |  *    \phi^{pc}_{I_s}(G) = \frac{4\pi}{V} \int_0^\infty r^2 j_0(|G|r) n^{pc}_{I_s} (r) dr \qquad (4.21)
 | 
|---|
| 374 |  * \f]
 | 
|---|
| 375 |  * \f[
 | 
|---|
| 376 |  *    \hat{n}^{pc} = \sum_{I_s} S(G) \phi^{pc}_{I_s}(G)
 | 
|---|
| 377 |  * \f]
 | 
|---|
| 378 |  * \param *P Problem at hand
 | 
|---|
| 379 |  * \param Create 1 - calculate form factors, 0 - don't
 | 
|---|
| 380 |  */
 | 
|---|
| 381 | static void CalcCoreCorrection(struct Problem *P, const int Create)
 | 
|---|
| 382 | {
 | 
|---|
| 383 |   int i, s = 0;
 | 
|---|
| 384 |   int it,g,Index,ir;
 | 
|---|
| 385 |   double arg;
 | 
|---|
| 386 |   struct PseudoPot *PP = &P->PP;
 | 
|---|
| 387 |   struct Ions *I = &P->Ion;
 | 
|---|
| 388 |   struct Lattice *Lat = &P->Lat;
 | 
|---|
| 389 |   struct RunStruct *R = &P->R;
 | 
|---|
| 390 |   struct LatticeLevel *Lev0 = R->Lev0;
 | 
|---|
| 391 |   struct OneGData *G = Lev0->GArray;
 | 
|---|
| 392 |   struct Density *Dens = Lev0->Dens;
 | 
|---|
| 393 |   struct fft_plan_3d *plan = Lat->plan; 
 | 
|---|
| 394 |   fftw_complex *work = (fftw_complex *)Dens->DensityCArray[TempDensity];
 | 
|---|
| 395 |   fftw_complex *CoreWave = (fftw_complex *)Dens->DensityArray[CoreWaveDensity];
 | 
|---|
| 396 |   // if desired the form factors are calculated
 | 
|---|
| 397 |   if (Create) {
 | 
|---|
| 398 |     for (it=0; it < I->Max_Types; it++) {
 | 
|---|
| 399 |       if (I->I[it].corecorr == CoreCorrected) {
 | 
|---|
| 400 |         s=0;
 | 
|---|
| 401 |         if (Lev0->GArray[0].GSq == 0.0) {
 | 
|---|
| 402 |           for (ir=0; ir < PP->mmax[it]; ir++) {
 | 
|---|
| 403 |             PP->integrand[ir] = 4.*PI*PP->corewave[it][ir]*PP->r[it][ir]*PP->r[it][ir]*PP->r[it][ir]/Lat->Volume;
 | 
|---|
| 404 |           }
 | 
|---|
| 405 |           PP->formfCore[it][0] = Simps(PP->mmax[it], PP->integrand, PP->clog[it]);
 | 
|---|
| 406 |           s++;
 | 
|---|
| 407 |         }
 | 
|---|
| 408 |         for (g=s; g <  Lev0->MaxG; g++) {
 | 
|---|
| 409 |           for (ir=0; ir < PP->mmax[it]; ir++) {
 | 
|---|
| 410 |             arg=PP->r[it][ir]*sqrt(G[g].GSq);
 | 
|---|
| 411 |             if (fabs(arg) < MYEPSILON) fprintf(stderr,"CalcCoreCorrection: arg = %lg\n",arg);
 | 
|---|
| 412 |             PP->integrand1[ir] = PP->integrand[ir]*sin(arg)/arg;
 | 
|---|
| 413 |           }
 | 
|---|
| 414 |           PP->formfCore[it][g] = Simps(PP->mmax[it], PP->integrand1, PP->clog[it]); 
 | 
|---|
| 415 |         } 
 | 
|---|
| 416 |       }
 | 
|---|
| 417 |     }
 | 
|---|
| 418 |   }
 | 
|---|
| 419 |   // here the density is evaluated, note again that it has to be enfolded due to the finer resolution
 | 
|---|
| 420 |   SetArrayToDouble0((double *)CoreWave,2*Dens->TotalSize);
 | 
|---|
| 421 |   for (g=0; g < Lev0->MaxG; g++) {
 | 
|---|
| 422 |     Index = Lev0->GArray[g].Index;
 | 
|---|
| 423 |     for (it = 0; it < I->Max_Types; it++) {
 | 
|---|
| 424 |       if (I->I[it].corecorr == CoreCorrected) {
 | 
|---|
| 425 |         c_re(CoreWave[Index]) += PP->formfCore[it][g]*c_re(I->I[it].SFactor[g]);
 | 
|---|
| 426 |         c_im(CoreWave[Index]) += PP->formfCore[it][g]*c_im(I->I[it].SFactor[g]);
 | 
|---|
| 427 |       }
 | 
|---|
| 428 |     }
 | 
|---|
| 429 |   }
 | 
|---|
| 430 |   for (i=0; i<Lev0->MaxDoubleG; i++) {
 | 
|---|
| 431 |     CoreWave[Lev0->DoubleG[2*i+1]].re =  CoreWave[Lev0->DoubleG[2*i]].re;
 | 
|---|
| 432 |     CoreWave[Lev0->DoubleG[2*i+1]].im = -CoreWave[Lev0->DoubleG[2*i]].im;
 | 
|---|
| 433 |   }
 | 
|---|
| 434 |   fft_3d_complex_to_real(plan, Lev0->LevelNo, FFTNF1, CoreWave, work);
 | 
|---|
| 435 | }
 | 
|---|
| 436 | 
 | 
|---|
| 437 | /** Reads data for Pseudopotentials.
 | 
|---|
| 438 |  * PseudoPot structure is allocated and intialized, depending on the given Z values in the 
 | 
|---|
| 439 |  * config file, corresponding pseudopotential files are read (generated from FHMD98 package),
 | 
|---|
| 440 |  * basically calls ChangePseudoToLevUp() (only it's implemented by hand).
 | 
|---|
| 441 |  * \param *P Problem at hand
 | 
|---|
| 442 |  * \param *pseudopot_path Path to pseudopot files
 | 
|---|
| 443 |  * \sa ParseForParameter() for parsing, RemovePseudoRead() for deallocation
 | 
|---|
| 444 |  */
 | 
|---|
| 445 | void InitPseudoRead(struct Problem *P, char *pseudopot_path) 
 | 
|---|
| 446 | {
 | 
|---|
| 447 |   char cpiInputFileName[255];
 | 
|---|
| 448 |   FILE *cpiInputFile;
 | 
|---|
| 449 |   int i,it,ib,il,m,j,ia;
 | 
|---|
| 450 |   int count = 0;
 | 
|---|
| 451 |   double dummycorewave = 0., dummyr = 0.;
 | 
|---|
| 452 |   struct PseudoPot *PP = &P->PP;
 | 
|---|
| 453 |   struct Ions *I = &P->Ion;
 | 
|---|
| 454 |   struct Lattice *Lat = &P->Lat;
 | 
|---|
| 455 |   struct RunStruct *R = &P->R;
 | 
|---|
| 456 |   struct LatticeLevel *ILev0 = R->InitLev0;
 | 
|---|
| 457 |   struct LatticeLevel *ILevS = R->InitLevS;
 | 
|---|
| 458 |   PP->Mmax = 0;
 | 
|---|
| 459 |   PP->core = (double **) Malloc(sizeof(double*)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 460 |   PP->rc = (double **) Malloc(sizeof(double*)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 461 |   PP->rcl = (double ***) Malloc(sizeof(double**)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 462 |   PP->al = (double ***) Malloc(sizeof(double**)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 463 |   PP->bl = (double ***) Malloc(sizeof(double**)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 464 |   PP->mmax = (int *) Malloc(sizeof(int)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 465 |   PP->clog = (double *) Malloc(sizeof(double)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 466 |   PP->R = (double ***) Malloc(sizeof(double**)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 467 |   PP->r = (double **) Malloc(sizeof(double*)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 468 |   PP->integrand2 = (double **) Malloc(sizeof(double*)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 469 |   PP->v_loc = (double ***) Malloc(sizeof(double**)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 470 |   PP->zval = (double *)Malloc(sizeof(double)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 471 |   PP->nang = (int *) Malloc(sizeof(int)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 472 |   PP->FacGauss = (double **) Malloc(sizeof(double*)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 473 |   PP->phi_ps_loc = (double **) Malloc(sizeof(double*)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 474 |   PP->wNonLoc = (double **) Malloc(sizeof(double*)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 475 |   //PP->phi_ps_nl = (double ***) Malloc(sizeof(double**)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 476 |   PP->phi_ps_nl = (double ***) Malloc(sizeof(double**)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 477 |   PP->lm_end = (int *) Malloc(sizeof(int)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 478 |   PP->ei = (fftw_complex ***) Malloc(sizeof(fftw_complex**)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 479 |   PP->expiGR = (fftw_complex ***) Malloc(sizeof(fftw_complex**)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 480 |   PP->VCoulombc = (fftw_complex *) Malloc(sizeof(fftw_complex)*ILev0->MaxG, "InitPseudoRead: ");
 | 
|---|
| 481 |   PP->corewave = (double **) Malloc(sizeof(double*)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 482 |   PP->formfCore = (double **) Malloc(sizeof(double*)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 483 |   PP->lm_endmax = 0;
 | 
|---|
| 484 |   PP->corecorr = NotCoreCorrected;
 | 
|---|
| 485 |   for (it = 0; it < I->Max_Types; it++) {
 | 
|---|
| 486 |     PP->lm_end[it] = I->I[it].l_max*I->I[it].l_max+1-2*I->I[it].l_loc;
 | 
|---|
| 487 |     if (PP->lm_endmax < PP->lm_end[it]) PP->lm_endmax = PP->lm_end[it];  
 | 
|---|
| 488 |     //PP->phi_ps_nl[it] =  (double **) Malloc(sizeof(double*)*PP->lm_end[it], "InitPseudoRead: ");
 | 
|---|
| 489 |     PP->phi_ps_nl[it] = (double **) Malloc(sizeof(double*)*PP->lm_end[it], "InitPseudoRead: ");
 | 
|---|
| 490 |     PP->ei[it] = (fftw_complex **) Malloc(sizeof(fftw_complex*)*I->I[it].Max_IonsOfType, "InitPseudoRead: ");
 | 
|---|
| 491 |     PP->expiGR[it] = (fftw_complex **) Malloc(sizeof(fftw_complex*)*I->I[it].Max_IonsOfType, "InitPseudoRead: ");
 | 
|---|
| 492 |     for (ia=0;ia<I->I[it].Max_IonsOfType;ia++) {
 | 
|---|
| 493 |       PP->ei[it][ia] = (fftw_complex *) Malloc(sizeof(fftw_complex)*ILev0->MaxG, "InitPseudoRead: ");
 | 
|---|
| 494 |       PP->expiGR[it][ia] =  (fftw_complex *) Malloc(sizeof(fftw_complex)*ILevS->MaxG, "InitPseudoRead: ");
 | 
|---|
| 495 |     }
 | 
|---|
| 496 |     for (il=0;il<PP->lm_end[it];il++) {
 | 
|---|
| 497 |       //PP->phi_ps_nl[it][il] = (double *) Malloc(sizeof(double)*ILevS->MaxG, "InitPseudoRead: ");
 | 
|---|
| 498 |       PP->phi_ps_nl[it][il] = (double *) Malloc(sizeof(double)*ILevS->MaxG, "InitPseudoRead: ");
 | 
|---|
| 499 |     }
 | 
|---|
| 500 |     PP->wNonLoc[it] = (double *) Malloc(sizeof(double)*PP->lm_end[it], "InitPseudoRead: ");
 | 
|---|
| 501 |     sprintf(cpiInputFileName,"%s/pseudo.%02i",pseudopot_path,I->I[it].Z); 
 | 
|---|
| 502 |     cpiInputFile = fopen(cpiInputFileName,"r");
 | 
|---|
| 503 |     if (cpiInputFile == NULL)
 | 
|---|
| 504 |       Error(SomeError, "Cant't find pseudopot path or file");
 | 
|---|
| 505 |     else
 | 
|---|
| 506 |         if (P->Call.out[ReadOut]) fprintf(stderr,"%s was found\n",cpiInputFileName);
 | 
|---|
| 507 |     int zeile = 1;
 | 
|---|
| 508 |     ParseForParameter(0,cpiInputFile, NULL, 0, 1, zeile, double_type, &PP->zval[it], 1, critical);
 | 
|---|
| 509 |     ParseForParameter(0,cpiInputFile, NULL, 1, 2, zeile, int_type, &PP->nang[it], 1, critical);
 | 
|---|
| 510 |     I->TotalZval += PP->zval[it]*(I->I[it].Max_IonsOfType);
 | 
|---|
| 511 |     PP->core[it] = (double *) Malloc(sizeof(double)*2, "InitPseudoRead: ");
 | 
|---|
| 512 |     PP->rc[it] = (double *) Malloc(sizeof(double)*2, "InitPseudoRead: ");
 | 
|---|
| 513 |     ParseForParameter(0,cpiInputFile, NULL, 0, 1, zeile, double_type, &PP->core[it][0], 1, critical);
 | 
|---|
| 514 |     ParseForParameter(0,cpiInputFile, NULL, 0, 2, zeile, double_type, &PP->rc[it][0], 1, critical);
 | 
|---|
| 515 |     ParseForParameter(0,cpiInputFile, NULL, 0, 3, zeile, double_type, &PP->core[it][1], 1, critical);
 | 
|---|
| 516 |     ParseForParameter(0,cpiInputFile, NULL, 1, 4, zeile, double_type, &PP->rc[it][1], 1, critical);
 | 
|---|
| 517 |     PP->rcl[it] = (double **) Malloc(sizeof(double*)*3, "InitPseudoRead: ");
 | 
|---|
| 518 |     PP->al[it] =  (double **) Malloc(sizeof(double*)*3, "InitPseudoRead: ");
 | 
|---|
| 519 |     PP->bl[it] =  (double **) Malloc(sizeof(double*)*3, "InitPseudoRead: ");
 | 
|---|
| 520 |     PP->FacGauss[it] = (double *) Malloc(sizeof(double)*ILev0->MaxG, "InitPseudoRead: ");
 | 
|---|
| 521 |     PP->phi_ps_loc[it] = (double *) Malloc(sizeof(double)*ILev0->MaxG, "InitPseudoRead: ");
 | 
|---|
| 522 |     I->I[it].SFactor = (fftw_complex *) Malloc(sizeof(fftw_complex)*ILev0->MaxG, "InitPseudoRead: ");
 | 
|---|
| 523 |     for (il=0; il < 3; il++) {
 | 
|---|
| 524 |       PP->rcl[it][il] = (double *) Malloc(sizeof(double)*3, "InitPseudoRead: ");
 | 
|---|
| 525 |       PP->al[it][il] = (double *) Malloc(sizeof(double)*3, "InitPseudoRead: ");
 | 
|---|
| 526 |       PP->bl[it][il] = (double *) Malloc(sizeof(double)*3, "InitPseudoRead: ");
 | 
|---|
| 527 |       for (ib = 0; ib < 3; ib++) {
 | 
|---|
| 528 |                     ParseForParameter(0,cpiInputFile, NULL, 0, 1, zeile, double_type, &PP->rcl[it][il][ib], 1, critical);
 | 
|---|
| 529 |                     ParseForParameter(0,cpiInputFile, NULL, 0, 2, zeile, double_type, &PP->al[it][il][ib], 1, critical);
 | 
|---|
| 530 |                     ParseForParameter(0,cpiInputFile, NULL, 1, 3, zeile, double_type, &PP->bl[it][il][ib], 1, critical);
 | 
|---|
| 531 |                                 if (PP->rcl[it][il][ib] < MYEPSILON)
 | 
|---|
| 532 |                                   PP->rcl[it][il][ib] = 0.0;
 | 
|---|
| 533 |                                 else
 | 
|---|
| 534 |                                   PP->rcl[it][il][ib] = 1./sqrt(PP->rcl[it][il][ib]);
 | 
|---|
| 535 |       }
 | 
|---|
| 536 |     }
 | 
|---|
| 537 |     ParseForParameter(0,cpiInputFile, NULL, 0, 1, zeile, int_type, &PP->mmax[it], 1, critical);
 | 
|---|
| 538 |     ParseForParameter(0,cpiInputFile, NULL, 1, 2, zeile, double_type, &PP->clog[it], 1, critical);
 | 
|---|
| 539 |     if (PP->mmax[it] > PP->Mmax) PP->Mmax = PP->mmax[it];
 | 
|---|
| 540 |     PP->clog[it] = log(PP->clog[it]);
 | 
|---|
| 541 |     PP->r[it] = (double *) Malloc(sizeof(double)*PP->mmax[it], "InitPseudoRead: ");
 | 
|---|
| 542 |     PP->integrand2[it] = (double *) Malloc(sizeof(double)*PP->mmax[it], "InitPseudoRead: ");
 | 
|---|
| 543 |     PP->R[it] = (double **) Malloc(sizeof(double*)*PP->nang[it], "InitPseudoRead: ");
 | 
|---|
| 544 |     PP->v_loc[it] = (double **) Malloc(sizeof(double*)*PP->nang[it], "InitPseudoRead: ");
 | 
|---|
| 545 |     for (il=0; il < PP->nang[it]; il++) {
 | 
|---|
| 546 |       PP->R[it][il] = (double *) Malloc(sizeof(double)*PP->mmax[it], "InitPseudoRead: ");
 | 
|---|
| 547 |       PP->v_loc[it][il] = (double *) Malloc(sizeof(double)*PP->mmax[it], "InitPseudoRead: ");
 | 
|---|
| 548 |       for (j=0;j< PP->mmax[it];j++) {
 | 
|---|
| 549 |                     ParseForParameter(0,cpiInputFile, NULL, 0, 1, zeile, int_type, &m, 1, critical);
 | 
|---|
| 550 |                     ParseForParameter(0,cpiInputFile, NULL, 0, 2, zeile, double_type, &PP->r[it][j], 1, critical);
 | 
|---|
| 551 |                     ParseForParameter(0,cpiInputFile, NULL, 0, 3, zeile, double_type, &PP->R[it][il][j], 1, critical);
 | 
|---|
| 552 |                     ParseForParameter(0,cpiInputFile, NULL, 1, 4, zeile, double_type, &PP->v_loc[it][il][j], 1, critical);
 | 
|---|
| 553 |       }
 | 
|---|
| 554 |       if (il < PP->nang[it]-1) {
 | 
|---|
| 555 |                     ParseForParameter(0,cpiInputFile, NULL, 0, 1, zeile, int_type, &PP->mmax[it], 1, critical);
 | 
|---|
| 556 |                     ParseForParameter(0,cpiInputFile, NULL, 1, 2, zeile, double_type, &PP->clog[it], 1, critical);
 | 
|---|
| 557 |                                 PP->clog[it] = log(PP->clog[it]);
 | 
|---|
| 558 |       }
 | 
|---|
| 559 |     }
 | 
|---|
| 560 |     I->I[it].corecorr = NotCoreCorrected;
 | 
|---|
| 561 |     count = 0;
 | 
|---|
| 562 |     count += ParseForParameter(0,cpiInputFile, NULL, 0, 1, zeile, double_type, &dummyr, 1, optional);
 | 
|---|
| 563 |     count += ParseForParameter(0,cpiInputFile, NULL, 0, 2, zeile, double_type, &dummycorewave, 1, optional);
 | 
|---|
| 564 |     //fprintf(stderr,"(%i) %lg %lg\n",P->Par.me,dummyr,dummycorewave);
 | 
|---|
| 565 |     if (count == 2) {
 | 
|---|
| 566 |       PP->r[it][0] = dummyr;
 | 
|---|
| 567 |       PP->corewave[it] = (double *) Malloc(sizeof(double)*PP->mmax[it], "InitPseudoRead: ");
 | 
|---|
| 568 |       PP->formfCore[it] = (double *) Malloc(sizeof(double)*ILev0->MaxG, "InitPseudoRead: ");
 | 
|---|
| 569 |       I->I[it].corecorr = CoreCorrected;
 | 
|---|
| 570 |       PP->corecorr = CoreCorrected;
 | 
|---|
| 571 |       PP->corewave[it][0] = dummycorewave/(4.*PI);
 | 
|---|
| 572 |             ParseForParameter(0,cpiInputFile, NULL, 0, 3, zeile, double_type, &dummyr, 1, critical);
 | 
|---|
| 573 |             ParseForParameter(0,cpiInputFile, NULL, 1, 4, zeile, double_type, &dummycorewave, 1, critical);
 | 
|---|
| 574 |       for (j=1;j < PP->mmax[it]; j++) {
 | 
|---|
| 575 |                     ParseForParameter(0,cpiInputFile, NULL, 0, 1, zeile, double_type, &PP->r[it][j], 1, critical);
 | 
|---|
| 576 |                     ParseForParameter(0,cpiInputFile, NULL, 0, 2, zeile, double_type, &PP->corewave[it][j], 1, critical);
 | 
|---|
| 577 |                     ParseForParameter(0,cpiInputFile, NULL, 0, 3, zeile, double_type, &dummyr, 1, critical);
 | 
|---|
| 578 |                     ParseForParameter(0,cpiInputFile, NULL, 1, 4, zeile, double_type, &dummycorewave, 1, critical);
 | 
|---|
| 579 |                                 PP->corewave[it][j] /= (4.*PI);
 | 
|---|
| 580 |       }
 | 
|---|
| 581 |     } else {
 | 
|---|
| 582 |       PP->corewave[it] = NULL;
 | 
|---|
| 583 |       PP->formfCore[it] = NULL;
 | 
|---|
| 584 |     }
 | 
|---|
| 585 |     fclose(cpiInputFile);
 | 
|---|
| 586 |   }
 | 
|---|
| 587 |   PP->fnl = (fftw_complex ****) Malloc(sizeof(fftw_complex***)*(Lat->Psi.LocalNo+1), "InitPseudoRead: ");
 | 
|---|
| 588 |   for (i=0; i< Lat->Psi.LocalNo+1; i++) {
 | 
|---|
| 589 |     PP->fnl[i] = (fftw_complex ***) Malloc(sizeof(fftw_complex**)*I->Max_Types, "InitPseudoRead: ");
 | 
|---|
| 590 |     for (it=0; it < I->Max_Types; it++) {
 | 
|---|
| 591 |       PP->fnl[i][it] = (fftw_complex **) Malloc(sizeof(fftw_complex*)*PP->lm_end[it], "InitPseudoRead: ");
 | 
|---|
| 592 |       for (il =0; il < PP->lm_end[it]; il++) 
 | 
|---|
| 593 |                                 PP->fnl[i][it][il] = (fftw_complex *) Malloc(sizeof(fftw_complex)*I->I[it].Max_IonsOfType, "InitPseudoRead: ");
 | 
|---|
| 594 |     }
 | 
|---|
| 595 |   }
 | 
|---|
| 596 |   if (fabs(I->TotalZval - P->Lat.Psi.NIDensity[Occupied]) >= MYEPSILON) {
 | 
|---|
| 597 |     if (P->Par.me_comm_ST == 0) // instead of P->Par.me, thus differing charge density output also for SpinUp/Down from both processes!
 | 
|---|
| 598 |       fprintf(stderr, "TotalZval %i != NIDensity[0] %g eps (%g >= %g)\n",I->TotalZval, P->Lat.Psi.NIDensity[Occupied], fabs(I->TotalZval - P->Lat.Psi.NIDensity[Occupied]),MYEPSILON);
 | 
|---|
| 599 |     Error(SomeError,"Readparameters: charged system is not implemented yet");
 | 
|---|
| 600 |   }
 | 
|---|
| 601 |   PP->CDfnl = PP->fnl[Lat->Psi.LocalNo];
 | 
|---|
| 602 |   PP->dfnl = (fftw_complex *) Malloc(sizeof(fftw_complex)*I->Max_Max_IonsOfType, "InitPseudoRead: ");
 | 
|---|
| 603 |   PP->rr = (double *) Malloc(sizeof(double)*PP->lm_endmax, "InitPseudoRead: ");
 | 
|---|
| 604 |   PP->t = (fftw_complex *) Malloc(sizeof(fftw_complex)*PP->lm_endmax, "InitPseudoRead: ");
 | 
|---|
| 605 |   PP->integrand = (double *) Malloc(sizeof(double)*PP->Mmax, "InitPseudoRead: ");
 | 
|---|
| 606 |   PP->integrand1 = (double *) Malloc(sizeof(double)*PP->Mmax, "InitPseudoRead: ");
 | 
|---|
| 607 |   for (it=0;it < I->Max_Types; it++) {
 | 
|---|
| 608 |     if (I->I[it].corecorr == CoreCorrected) {
 | 
|---|
| 609 |       for (j=0; j < PP->mmax[it]; j++) {
 | 
|---|
| 610 |                                 PP->integrand[j] = 4.*PI*PP->corewave[it][j]*PP->r[it][j]*PP->r[it][j]*PP->r[it][j];
 | 
|---|
| 611 |       }
 | 
|---|
| 612 |       if(P->Call.out[ReadOut]) fprintf(stderr,"Ion[%i] is core corrected: core charge = %g\n", it, Simps(PP->mmax[it], PP->integrand, PP->clog[it]));
 | 
|---|
| 613 |     }
 | 
|---|
| 614 |   }
 | 
|---|
| 615 |   PP->fac1sqrt2PI = 1./sqrt(2.*PI);
 | 
|---|
| 616 |   PP->fac1sqrtPI = 1./sqrt(PI);
 | 
|---|
| 617 |   SpeedMeasure(P, InitSimTime, StartTimeDo);
 | 
|---|
| 618 |   SpeedMeasure(P, InitLocTime, StartTimeDo);
 | 
|---|
| 619 |   CalcSG(P);
 | 
|---|
| 620 |   CalcExpiGR(P);
 | 
|---|
| 621 |   FormFacGauss(P);
 | 
|---|
| 622 |   FormFacLocPot(P);
 | 
|---|
| 623 |   SpeedMeasure(P, InitLocTime, StopTimeDo);
 | 
|---|
| 624 |   SpeedMeasure(P, InitNonLocTime, StartTimeDo);
 | 
|---|
| 625 |   FormFacNonLocPot(P); 
 | 
|---|
| 626 |   SpeedMeasure(P, InitNonLocTime, StopTimeDo);
 | 
|---|
| 627 |   SpeedMeasure(P, InitLocTime, StartTimeDo);
 | 
|---|
| 628 |   CalcCoreCorrection(P, 1);
 | 
|---|
| 629 |   SpeedMeasure(P, InitLocTime, StopTimeDo);
 | 
|---|
| 630 |   SpeedMeasure(P, InitSimTime, StopTimeDo);
 | 
|---|
| 631 | }
 | 
|---|
| 632 | 
 | 
|---|
| 633 | /** Updates Pseudopotentials due to change of mesh width.
 | 
|---|
| 634 |  * Calls CalcSG(), CalcExpiGR(), recalculates the form factors by calling
 | 
|---|
| 635 |  * FormFacGauss(), FormFacLocPot(), FormFacLonLocPot() and finally
 | 
|---|
| 636 |  * CalcCoreCorrection(). All speed-measured in InitLocTime respectively
 | 
|---|
| 637 |  * InitNonLocTime.
 | 
|---|
| 638 |  * \param *P Problem at hand
 | 
|---|
| 639 |  */
 | 
|---|
| 640 | inline void ChangePseudoToLevUp(struct Problem *P)
 | 
|---|
| 641 | {
 | 
|---|
| 642 |   SpeedMeasure(P, InitLocTime, StartTimeDo);
 | 
|---|
| 643 |   CalcSG(P);
 | 
|---|
| 644 |   CalcExpiGR(P);
 | 
|---|
| 645 |   FormFacGauss(P);
 | 
|---|
| 646 |   FormFacLocPot(P);
 | 
|---|
| 647 |   SpeedMeasure(P, InitLocTime, StopTimeDo);
 | 
|---|
| 648 |   SpeedMeasure(P, InitNonLocTime, StartTimeDo);
 | 
|---|
| 649 |   FormFacNonLocPot(P); 
 | 
|---|
| 650 |   SpeedMeasure(P, InitNonLocTime, StopTimeDo);
 | 
|---|
| 651 |   SpeedMeasure(P, InitLocTime, StartTimeDo);
 | 
|---|
| 652 |   CalcCoreCorrection(P, 1);
 | 
|---|
| 653 |   SpeedMeasure(P, InitLocTime, StopTimeDo);
 | 
|---|
| 654 | }
 | 
|---|
| 655 | 
 | 
|---|
| 656 | /** Updates Pseudopotentials due to the newly minimized wave functions.
 | 
|---|
| 657 |  * Calls CalcSG(), CalcExpiGR() and CalcCoreCorrection().
 | 
|---|
| 658 |  * \param *P Problem at hand
 | 
|---|
| 659 |  */
 | 
|---|
| 660 | inline void UpdatePseudoToNewWaves(struct Problem *P)
 | 
|---|
| 661 | {
 | 
|---|
| 662 |   SpeedMeasure(P, InitLocTime, StartTimeDo);
 | 
|---|
| 663 |   CalcSG(P);
 | 
|---|
| 664 |   CalcExpiGR(P);
 | 
|---|
| 665 |   CalcCoreCorrection(P, 0);
 | 
|---|
| 666 |   SpeedMeasure(P, InitLocTime, StopTimeDo); 
 | 
|---|
| 667 | }
 | 
|---|
| 668 | 
 | 
|---|
| 669 | /** Frees memory allocated from Readin.
 | 
|---|
| 670 |  * All memory is free'd that was allocated in InitPseudoRead()
 | 
|---|
| 671 |  * \param *P Problem at hand
 | 
|---|
| 672 |  * \sa InitPseudoRead()
 | 
|---|
| 673 |  */
 | 
|---|
| 674 | void RemovePseudoRead(struct Problem *P)
 | 
|---|
| 675 | {
 | 
|---|
| 676 |   int i,it,il,ia;
 | 
|---|
| 677 |   struct PseudoPot *PP = &P->PP;
 | 
|---|
| 678 |   struct Ions *I = &P->Ion;
 | 
|---|
| 679 |   struct Lattice *Lat = &P->Lat;
 | 
|---|
| 680 |   Free(PP->integrand1, "RemovePseudoRead: PP->integrand1");
 | 
|---|
| 681 |   Free(PP->integrand, "RemovePseudoRead: PP->integrand");
 | 
|---|
| 682 |   Free(PP->dfnl, "RemovePseudoRead: PP->dfnl"); 
 | 
|---|
| 683 |   Free(PP->rr, "RemovePseudoRead: PP->rr");
 | 
|---|
| 684 |   Free(PP->t, "RemovePseudoRead: PP->t");
 | 
|---|
| 685 |   for (i=0; i< Lat->Psi.LocalNo+1; i++) {
 | 
|---|
| 686 |     for (it=0; it < I->Max_Types; it++) {
 | 
|---|
| 687 |       for (il =0; il < PP->lm_end[it]; il++) 
 | 
|---|
| 688 |         Free(PP->fnl[i][it][il], "RemovePseudoRead: PP->fnl[i][it][il]");
 | 
|---|
| 689 |       Free(PP->fnl[i][it], "RemovePseudoRead: PP->fnl[i][it]");
 | 
|---|
| 690 |     }
 | 
|---|
| 691 |     Free(PP->fnl[i], "RemovePseudoRead: PP->fnl[i]"); 
 | 
|---|
| 692 |   }
 | 
|---|
| 693 |   for (it=0; it < I->Max_Types; it++) {
 | 
|---|
| 694 |     if (I->I[it].corecorr == CoreCorrected) {
 | 
|---|
| 695 |       Free(PP->corewave[it], "RemovePseudoRead: PP->corewave[it]");
 | 
|---|
| 696 |       Free(PP->formfCore[it], "RemovePseudoRead: PP->formfCore[it]");
 | 
|---|
| 697 |     }
 | 
|---|
| 698 |   }
 | 
|---|
| 699 |   for (it=0; it < I->Max_Types; it++) {
 | 
|---|
| 700 |     for (il=0; il < PP->nang[it]; il++) {
 | 
|---|
| 701 |       Free(PP->R[it][il], "RemovePseudoRead: PP->R[it][il]");
 | 
|---|
| 702 |       Free(PP->v_loc[it][il], "RemovePseudoRead: PP->v_loc[it][il]");
 | 
|---|
| 703 |     }
 | 
|---|
| 704 |     for (il=0; il < 3; il++) {
 | 
|---|
| 705 |       Free(PP->rcl[it][il], "RemovePseudoRead: PP->rcl[it][il]");
 | 
|---|
| 706 |       Free(PP->al[it][il], "RemovePseudoRead: PP->al[it][il]");
 | 
|---|
| 707 |       Free(PP->bl[it][il], "RemovePseudoRead: PP->bl[it][il]");
 | 
|---|
| 708 |     }
 | 
|---|
| 709 |     for (il=0;il<PP->lm_end[it];il++) {
 | 
|---|
| 710 |       //Free(PP->phi_ps_nl[it][il], "RemovePseudoRead: PP->phi_ps_nl[it][il]");
 | 
|---|
| 711 |       Free(PP->phi_ps_nl[it][il], "RemovePseudoRead: PP->phi_ps_nl[it][il]");
 | 
|---|
| 712 |     }
 | 
|---|
| 713 |     for (ia=0;ia<I->I[it].Max_IonsOfType;ia++) {
 | 
|---|
| 714 |       Free(PP->ei[it][ia], "RemovePseudoRead: PP->ei[it][ia]");
 | 
|---|
| 715 |       Free(PP->expiGR[it][ia], "RemovePseudoRead: PP->expiGR[it][ia]");
 | 
|---|
| 716 |     }
 | 
|---|
| 717 |     Free(PP->ei[it], "RemovePseudoRead: PP->ei[it]");
 | 
|---|
| 718 |     Free(PP->expiGR[it], "RemovePseudoRead: PP->expiGR[it]");
 | 
|---|
| 719 |     //Free(PP->phi_ps_nl[it], "RemovePseudoRead: PP->phi_ps_nl[it]");
 | 
|---|
| 720 |     Free(PP->phi_ps_nl[it], "RemovePseudoRead: PP->phi_ps_nl[it]");
 | 
|---|
| 721 |     Free(PP->R[it], "RemovePseudoRead: PP->R[it]");
 | 
|---|
| 722 |     Free(PP->v_loc[it], "RemovePseudoRead: PP->v_loc[it]");
 | 
|---|
| 723 |     Free(PP->r[it], "RemovePseudoRead: PP->r[it]");
 | 
|---|
| 724 |     Free(PP->integrand2[it], "RemovePseudoRead: PP->integrand2[it]");
 | 
|---|
| 725 |     Free(PP->rcl[it], "RemovePseudoRead: PP->rcl[it]");
 | 
|---|
| 726 |     Free(PP->al[it], "RemovePseudoRead: PP->al[it]");
 | 
|---|
| 727 |     Free(PP->bl[it], "RemovePseudoRead: PP->bl[it]");
 | 
|---|
| 728 |     Free(PP->FacGauss[it], "RemovePseudoRead: PP->FacGauss[it]");
 | 
|---|
| 729 |     Free(PP->phi_ps_loc[it], "RemovePseudoRead: PP->phi_ps_loc[it]");
 | 
|---|
| 730 |     Free(PP->core[it], "RemovePseudoRead: PP->core[it]");
 | 
|---|
| 731 |     Free(PP->rc[it], "RemovePseudoRead: PP->rc[it]");
 | 
|---|
| 732 |     Free(PP->wNonLoc[it], "RemovePseudoRead: PP->wNonLoc[it]");
 | 
|---|
| 733 |   }
 | 
|---|
| 734 |   //Free(PP->phi_ps_nl, "RemovePseudoRead: PP->phi_ps_nl");
 | 
|---|
| 735 |   Free(PP->phi_ps_nl, "RemovePseudoRead: PP->phi_ps_nl");
 | 
|---|
| 736 |   Free(PP->R, "RemovePseudoRead: PP->R");
 | 
|---|
| 737 |   Free(PP->v_loc, "RemovePseudoRead: PP->v_loc");
 | 
|---|
| 738 |   Free(PP->r, "RemovePseudoRead: PP->r");
 | 
|---|
| 739 |   Free(PP->integrand2, "RemovePseudoRead: PP->integrand2");
 | 
|---|
| 740 |   Free(PP->rcl, "RemovePseudoRead: PP->rcl");
 | 
|---|
| 741 |   Free(PP->al, "RemovePseudoRead: PP->al");
 | 
|---|
| 742 |   Free(PP->bl, "RemovePseudoRead: PP->bl");
 | 
|---|
| 743 |   Free(PP->FacGauss, "RemovePseudoRead: PP->FacGauss");
 | 
|---|
| 744 |   Free(PP->phi_ps_loc, "RemovePseudoRead: PP->phi_ps_loc");
 | 
|---|
| 745 |   Free(PP->core, "RemovePseudoRead: PP->core");
 | 
|---|
| 746 |   Free(PP->rc, "RemovePseudoRead: PP->rc");
 | 
|---|
| 747 |   Free(PP->wNonLoc, "RemovePseudoRead: PP->wNonLoc");
 | 
|---|
| 748 |   Free(PP->ei, "RemovePseudoRead: PP->ei");
 | 
|---|
| 749 |   Free(PP->expiGR, "RemovePseudoRead: PP->expiGR");
 | 
|---|
| 750 |   Free(PP->corewave, "RemovePseudoRead: PP->corewave");
 | 
|---|
| 751 |   Free(PP->formfCore, "RemovePseudoRead: PP->formfCore");
 | 
|---|
| 752 |   Free(PP->fnl, "RemovePseudoRead: PP->fnl"); 
 | 
|---|
| 753 |   Free(PP->VCoulombc, "RemovePseudoRead: PP->VCoulombc");
 | 
|---|
| 754 |   Free(PP->lm_end, "RemovePseudoRead: PP->lm_end");
 | 
|---|
| 755 |   Free(PP->zval, "RemovePseudoRead: PP->zval");
 | 
|---|
| 756 |   Free(PP->nang, "RemovePseudoRead: PP->nang");
 | 
|---|
| 757 |   Free(PP->mmax, "RemovePseudoRead: PP->mmax");
 | 
|---|
| 758 |   Free(PP->clog, "RemovePseudoRead: PP->clog");
 | 
|---|
| 759 | }
 | 
|---|
| 760 | 
 | 
|---|
| 761 | /* Calculate Energy and Forces */
 | 
|---|
| 762 | 
 | 
|---|
| 763 | /** Calculates Gauss (self) energy term of ions \f$E_{self}\f$.
 | 
|---|
| 764 |  * \f[
 | 
|---|
| 765 |  *    E_{self} = \sum_{I_s,I_a} \frac{1}{\sqrt{2\pi}} \frac{Z_{I_s}^2}{r_{I_s}^{Gauss}} \qquad (4.10 last part)
 | 
|---|
| 766 |  * \f]
 | 
|---|
| 767 |  * \param *P Problem at hand
 | 
|---|
| 768 |  * \param *PP PseudoPot ential structure
 | 
|---|
| 769 |  * \param *I Ions structure
 | 
|---|
| 770 |  */
 | 
|---|
| 771 | void CalculateGaussSelfEnergyNoRT(struct Problem *P, struct PseudoPot *PP, struct Ions *I) 
 | 
|---|
| 772 | {
 | 
|---|
| 773 |   double SumE = 0.0;
 | 
|---|
| 774 |   int it;
 | 
|---|
| 775 |   for (it=0; it < I->Max_Types; it++) {
 | 
|---|
| 776 |     if (I->I[it].rgauss < MYEPSILON) fprintf(stderr,"CalculateGaussSelfEnergyNoRT: I->I[it].rgauss = %lg\n",I->I[it].rgauss);
 | 
|---|
| 777 |     SumE += PP->zval[it]*PP->zval[it]/I->I[it].rgauss*I->I[it].Max_IonsOfType;
 | 
|---|
| 778 |   }
 | 
|---|
| 779 |   P->Lat.E->AllTotalIonsEnergy[GaussSelfEnergy] = SumE*PP->fac1sqrt2PI; 
 | 
|---|
| 780 | }
 | 
|---|
| 781 | 
 | 
|---|
| 782 | /** Calculates non local pseudopotential energy \f$E_{ps,nl,i}\f$.
 | 
|---|
| 783 |  * First, calculates non-local form factors 
 | 
|---|
| 784 |  * \f[
 | 
|---|
| 785 |  *    f^{nl}_{i,I_s,I_a,l,m} = \sum_G \exp(-i(G R_{I_s,I_a}) 
 | 
|---|
| 786 |  *      \phi_{I_s,l,m}^{ps,nl} (G) c_{i,G}
 | 
|---|
| 787 |  * \f]
 | 
|---|
| 788 |  * and afterwards evaluates with these
 | 
|---|
| 789 |  * \f[
 | 
|---|
| 790 |  *    E_{ps,nl,i} = f_{i} \sum_{I_s,I_a} \sum_{l,m} w^{nl}_{I_s,l} | f^{nl}_{i,I_s,I_a,l,m} |^2  \qquad (4.16)
 | 
|---|
| 791 |  * \f]
 | 
|---|
| 792 |  * \param *P Problem at hand
 | 
|---|
| 793 |  * \param i Energy of i-th Psi
 | 
|---|
| 794 |  */
 | 
|---|
| 795 | void CalculateNonLocalEnergyNoRT(struct Problem *P, const int i)
 | 
|---|
| 796 | {
 | 
|---|
| 797 |   struct PseudoPot *PP = &P->PP;
 | 
|---|
| 798 |   struct Ions *I = &P->Ion;
 | 
|---|
| 799 |   struct Lattice *Lat = &P->Lat;
 | 
|---|
| 800 |   struct RunStruct *R = &P->R;
 | 
|---|
| 801 |   struct LatticeLevel *LevS = R->LevS; 
 | 
|---|
| 802 |   int it,iot,ilm,ig,s=0;
 | 
|---|
| 803 |   double sf,enl;//,enlm;
 | 
|---|
| 804 |   fftw_complex PPdexpiGRpkg;
 | 
|---|
| 805 |   fftw_complex *dfnl = PP->dfnl;
 | 
|---|
| 806 |   fftw_complex *LocalPsi = LevS->LPsi->LocalPsi[i];   // i-th wave function coefficients
 | 
|---|
| 807 |   const double PsiFactor = Lat->Psi.LocalPsiStatus[i].PsiFactor;
 | 
|---|
| 808 |   int MinusGFactor;
 | 
|---|
| 809 |   enl=0.0;
 | 
|---|
| 810 |   for (it=0; it < I->Max_Types; it++) { // through all ion types
 | 
|---|
| 811 |     for (ilm=1; ilm <=PP->lm_end[it]; ilm++) {  // over all possible m values
 | 
|---|
| 812 |       MinusGFactor = Get_pkga_MinusG(ilm-1);
 | 
|---|
| 813 |       SetArrayToDouble0((double *)dfnl, 2*I->I[it].Max_IonsOfType);
 | 
|---|
| 814 |       for (iot=0; iot < I->I[it].Max_IonsOfType; iot++) {   // for each ion per type
 | 
|---|
| 815 |                 s=0;
 | 
|---|
| 816 |                 if (LevS->GArray[0].GSq == 0.0) {
 | 
|---|
| 817 |                   dexpiGRpkg(PP, it, iot, ilm, 0, &PPdexpiGRpkg);
 | 
|---|
| 818 |                   c_re(dfnl[iot]) += (c_re(LocalPsi[0])*c_re(PPdexpiGRpkg)-c_im(LocalPsi[0])*c_im(PPdexpiGRpkg));
 | 
|---|
| 819 |                   c_im(dfnl[iot]) += (c_re(LocalPsi[0])*c_im(PPdexpiGRpkg)+c_im(LocalPsi[0])*c_re(PPdexpiGRpkg));
 | 
|---|
| 820 |                   s++;
 | 
|---|
| 821 |                 }
 | 
|---|
| 822 |                 for (ig=s; ig < LevS->MaxG; ig++) {
 | 
|---|
| 823 |                   dexpiGRpkg(PP, it, iot, ilm, ig, &PPdexpiGRpkg);
 | 
|---|
| 824 |                   c_re(dfnl[iot]) += (c_re(LocalPsi[ig])*c_re(PPdexpiGRpkg)-c_im(LocalPsi[ig])*c_im(PPdexpiGRpkg));
 | 
|---|
| 825 |                   c_im(dfnl[iot]) += (c_re(LocalPsi[ig])*c_im(PPdexpiGRpkg)+c_im(LocalPsi[ig])*c_re(PPdexpiGRpkg));
 | 
|---|
| 826 |                   /* Minus G - due to inherent symmetry at gamma point! */
 | 
|---|
| 827 |                   c_re(dfnl[iot]) += MinusGFactor*(c_re(LocalPsi[ig])*c_re(PPdexpiGRpkg)-c_im(LocalPsi[ig])*c_im(PPdexpiGRpkg));
 | 
|---|
| 828 |                   c_im(dfnl[iot]) -= MinusGFactor*(c_re(LocalPsi[ig])*c_im(PPdexpiGRpkg)+c_im(LocalPsi[ig])*c_re(PPdexpiGRpkg));
 | 
|---|
| 829 |                 }
 | 
|---|
| 830 |       }
 | 
|---|
| 831 |       // Allreduce as the coefficients are spread over many processes
 | 
|---|
| 832 |       MPI_Allreduce( dfnl, PP->fnl[i][it][ilm-1], 2*I->I[it].Max_IonsOfType, MPI_DOUBLE, MPI_SUM, P->Par.comm_ST_Psi);
 | 
|---|
| 833 |     }
 | 
|---|
| 834 |   }
 | 
|---|
| 835 |   for (it=0; it < I->Max_Types; it++) {
 | 
|---|
| 836 |     for (ilm=1; ilm <=PP->lm_end[it]; ilm++) {
 | 
|---|
| 837 |       for (iot=0; iot < I->I[it].Max_IonsOfType; iot++) {
 | 
|---|
| 838 |                 //enlm = 0.0;
 | 
|---|
| 839 |                 sf = c_re(PP->fnl[i][it][ilm-1][iot])*c_re(PP->fnl[i][it][ilm-1][iot])+c_im(PP->fnl[i][it][ilm-1][iot])*c_im(PP->fnl[i][it][ilm-1][iot]);
 | 
|---|
| 840 |                 //enlm = (PsiFactor*sf);
 | 
|---|
| 841 |                 enl += PsiFactor*sf*PP->wNonLoc[it][ilm-1]; 
 | 
|---|
| 842 |       }
 | 
|---|
| 843 |     }
 | 
|---|
| 844 |   } 
 | 
|---|
| 845 |   Lat->Energy[R->CurrentMin].PsiEnergy[NonLocalEnergy][i] = enl;
 | 
|---|
| 846 | }
 | 
|---|
| 847 | 
 | 
|---|
| 848 | 
 | 
|---|
| 849 | /** Calculates non local pseudopotential energy \f$E_{ps,nl,i}\f$ using Riemann tensor.
 | 
|---|
| 850 |  * \param *P Problem at hand
 | 
|---|
| 851 |  * \param i value
 | 
|---|
| 852 |  * \note not implemented
 | 
|---|
| 853 |  */
 | 
|---|
| 854 | void CalculateNonLocalEnergyUseRT(struct Problem *P, const int i)
 | 
|---|
| 855 | {
 | 
|---|
| 856 |   Error(SomeError, "CalculateNonLocalEnergyUseRT: Not implemented");
 | 
|---|
| 857 | }
 | 
|---|
| 858 | 
 | 
|---|
| 859 | /* AddVICGP aus scp */ /* HG wird geloescht und neu gesetzt */
 | 
|---|
| 860 | 
 | 
|---|
| 861 | /** Calculates Gauss, Pseudopotential, Hartreepotential and Hartree energies, also
 | 
|---|
| 862 |  * PseudoPot::VCoulombc \f$V^H (G)\f$ and Density::DensityCArray[DoubleDensityTypes#HGDensity].
 | 
|---|
| 863 |  * \f[
 | 
|---|
| 864 |  *    E_{Gauss} = V \sum_{G\neq 0} \frac{4\pi}{|G|^2} |\overbrace{\sum_{I_s} S_{I_s} (G) \phi^{Gauss}_{I_s} (G)}^{\hat{n}^{Gauss}(G)}|^2 \qquad (\textnormal{just before 4.22})
 | 
|---|
| 865 |  * \f]
 | 
|---|
| 866 |  * \f[
 | 
|---|
| 867 |  *    \widetilde{E}_{ps,loc} = 2V \sum_G \sum_{I_s} S_{I_s} (G) \phi^{ps,loc}_{I_s} (G) \hat{n}^\ast (G) \quad (4.13)
 | 
|---|
| 868 |  * \f]
 | 
|---|
| 869 |  * \f[
 | 
|---|
| 870 |  *    E_{Hpot} = V \sum_{G\neq 0} \frac{4\pi}{|G|^2} |\hat{n}(G)+\hat{n}^{Gauss}(G)|^2  \qquad (\textnormal{first part 4.10})
 | 
|---|
| 871 |  * \f]
 | 
|---|
| 872 |  * \f[
 | 
|---|
| 873 |  *    E_{Hartree} = V \sum_{G\neq 0} \frac{4\pi}{|G|^2} |\hat{n}(G)|^2
 | 
|---|
| 874 |  * \f]
 | 
|---|
| 875 |  * \f[
 | 
|---|
| 876 |  *    V^H (G) = \frac{4\pi}{|G|^2} (\hat{n}(G)+\hat{n}^{Gauss}(G))  \qquad (\textnormal{section 4.3.2})
 | 
|---|
| 877 |  * \f]
 | 
|---|
| 878 |  * \param *P Problem at hand
 | 
|---|
| 879 |  * \note There are some factor 2 discrepancies to formulas due to gamma point symmetry!
 | 
|---|
| 880 |  */
 | 
|---|
| 881 | void CalculateSomeEnergyAndHGNoRT(struct Problem *P) 
 | 
|---|
| 882 | {
 | 
|---|
| 883 |   struct PseudoPot *PP = &P->PP;
 | 
|---|
| 884 |   struct Ions *I = &P->Ion;
 | 
|---|
| 885 |   struct Lattice *Lat = &P->Lat;
 | 
|---|
| 886 |   struct Energy *E = Lat->E;
 | 
|---|
| 887 |   fftw_complex vp,rp,rhog,rhoe;
 | 
|---|
| 888 |   double SumEHP,Fac,SumEH,SumEG,SumEPS;
 | 
|---|
| 889 |   struct RunStruct *R = &P->R;
 | 
|---|
| 890 |   struct LatticeLevel *Lev0 = R->Lev0;
 | 
|---|
| 891 |   struct Density *Dens = Lev0->Dens;
 | 
|---|
| 892 |   int g,s=0,it,Index,i;
 | 
|---|
| 893 |   fftw_complex *HG = Dens->DensityCArray[HGDensity];
 | 
|---|
| 894 |   SetArrayToDouble0((double *)HG,2*Dens->TotalSize);
 | 
|---|
| 895 |   SumEHP = 0.0;
 | 
|---|
| 896 |   SumEH = 0.0;
 | 
|---|
| 897 |   SumEG = 0.0;
 | 
|---|
| 898 |   SumEPS = 0.0;
 | 
|---|
| 899 |   // calculates energy of local pseudopotential
 | 
|---|
| 900 |   if (Lev0->GArray[0].GSq == 0.0) {
 | 
|---|
| 901 |     Index = Lev0->GArray[0].Index;
 | 
|---|
| 902 |     c_re(vp) = 0.0;
 | 
|---|
| 903 |     c_im(vp) = 0.0;
 | 
|---|
| 904 |     for (it = 0; it < I->Max_Types; it++) {
 | 
|---|
| 905 |       c_re(vp) += (c_re(I->I[it].SFactor[0])*PP->phi_ps_loc[it][0]); 
 | 
|---|
| 906 |       c_im(vp) += (c_im(I->I[it].SFactor[0])*PP->phi_ps_loc[it][0]);
 | 
|---|
| 907 |     }
 | 
|---|
| 908 |     c_re(HG[Index]) = c_re(vp);
 | 
|---|
| 909 |     SumEPS += (c_re(Dens->DensityCArray[TotalDensity][Index])*c_re(vp) +
 | 
|---|
| 910 |          c_im(Dens->DensityCArray[TotalDensity][Index])*c_im(vp))*R->HGcFactor; 
 | 
|---|
| 911 |     s++;
 | 
|---|
| 912 |   }
 | 
|---|
| 913 |   for (g=s; g < Lev0->MaxG; g++) {
 | 
|---|
| 914 |     Index = Lev0->GArray[g].Index;
 | 
|---|
| 915 |     c_re(vp) = 0.0;
 | 
|---|
| 916 |     c_im(vp) = 0.0;
 | 
|---|
| 917 |     c_re(rp) = 0.0;
 | 
|---|
| 918 |     c_im(rp) = 0.0;
 | 
|---|
| 919 |     Fac = 4.*PI/(Lev0->GArray[g].GSq);
 | 
|---|
| 920 |     for (it = 0; it < I->Max_Types; it++) {
 | 
|---|
| 921 |       c_re(vp) += (c_re(I->I[it].SFactor[g])*PP->phi_ps_loc[it][g]); 
 | 
|---|
| 922 |       c_im(vp) += (c_im(I->I[it].SFactor[g])*PP->phi_ps_loc[it][g]);
 | 
|---|
| 923 |       c_re(rp) += (c_re(I->I[it].SFactor[g])*PP->FacGauss[it][g]); 
 | 
|---|
| 924 |       c_im(rp) += (c_im(I->I[it].SFactor[g])*PP->FacGauss[it][g]);
 | 
|---|
| 925 |     } // rp = n^{Gauss)(G)
 | 
|---|
| 926 |     c_re(rhog) = c_re(Dens->DensityCArray[TotalDensity][Index])*R->HGcFactor+c_re(rp);
 | 
|---|
| 927 |     c_im(rhog) = c_im(Dens->DensityCArray[TotalDensity][Index])*R->HGcFactor+c_im(rp);
 | 
|---|
| 928 |     c_re(rhoe) = c_re(Dens->DensityCArray[TotalDensity][Index])*R->HGcFactor;
 | 
|---|
| 929 |     c_im(rhoe) = c_im(Dens->DensityCArray[TotalDensity][Index])*R->HGcFactor;
 | 
|---|
| 930 |     // rhog = n(G) + n^{Gauss}(G), rhoe = n(G)
 | 
|---|
| 931 |     c_re(PP->VCoulombc[g]) = Fac*c_re(rhog);
 | 
|---|
| 932 |     c_im(PP->VCoulombc[g]) = -Fac*c_im(rhog);
 | 
|---|
| 933 |     c_re(HG[Index]) = c_re(vp)+Fac*c_re(rhog);
 | 
|---|
| 934 |     c_im(HG[Index]) = c_im(vp)+Fac*c_im(rhog);
 | 
|---|
| 935 |     /*if (P->first) */
 | 
|---|
| 936 |     SumEG += Fac*(c_re(rp)*c_re(rp)+c_im(rp)*c_im(rp));             // Gauss energy
 | 
|---|
| 937 |     SumEHP += Fac*(c_re(rhog)*c_re(rhog)+c_im(rhog)*c_im(rhog));    // E_ES first part
 | 
|---|
| 938 |     SumEH += Fac*(c_re(rhoe)*c_re(rhoe)+c_im(rhoe)*c_im(rhoe));
 | 
|---|
| 939 |     SumEPS += 2.*(c_re(Dens->DensityCArray[TotalDensity][Index])*c_re(vp)+
 | 
|---|
| 940 |                   c_im(Dens->DensityCArray[TotalDensity][Index])*c_im(vp))*R->HGcFactor;
 | 
|---|
| 941 |   }
 | 
|---|
| 942 |   //
 | 
|---|
| 943 |   for (i=0; i<Lev0->MaxDoubleG; i++) {
 | 
|---|
| 944 |     HG[Lev0->DoubleG[2*i+1]].re =  HG[Lev0->DoubleG[2*i]].re;
 | 
|---|
| 945 |     HG[Lev0->DoubleG[2*i+1]].im = -HG[Lev0->DoubleG[2*i]].im;
 | 
|---|
| 946 |   }
 | 
|---|
| 947 |   /*if (P->first) */
 | 
|---|
| 948 |   E->AllLocalDensityEnergy[GaussEnergy] = SumEG*Lat->Volume;
 | 
|---|
| 949 |   E->AllLocalDensityEnergy[PseudoEnergy] = SumEPS*Lat->Volume;
 | 
|---|
| 950 |   E->AllLocalDensityEnergy[HartreePotentialEnergy] = SumEHP*Lat->Volume;
 | 
|---|
| 951 |   E->AllLocalDensityEnergy[HartreeEnergy] = SumEH*Lat->Volume;
 | 
|---|
| 952 |   /* ReduceAllEnergy danach noch aufrufen */
 | 
|---|
| 953 | }
 | 
|---|
| 954 | 
 | 
|---|
| 955 | /** Calculates \f$f^{nl}_{i,I_s,I_a,l,m}\f$ for conjugate direction Psis.
 | 
|---|
| 956 |  * \param *P Problem at hand
 | 
|---|
| 957 |  * \param *ConDir array of complex coefficients of the conjugate direction
 | 
|---|
| 958 |  * \param ***CDfnl return array [ion type, lm value, ion of type]
 | 
|---|
| 959 |  * \sa CalculateConDirHConDir() - used there
 | 
|---|
| 960 |  */
 | 
|---|
| 961 | void CalculateCDfnl(struct Problem *P, fftw_complex *ConDir, fftw_complex ***CDfnl)
 | 
|---|
| 962 | {
 | 
|---|
| 963 |   struct PseudoPot *PP = &P->PP;
 | 
|---|
| 964 |   struct Ions *I = &P->Ion;
 | 
|---|
| 965 |   struct RunStruct *R = &P->R;
 | 
|---|
| 966 |   const struct LatticeLevel *LevS = R->LevS;
 | 
|---|
| 967 |   int it,iot,ilm,ig,MinusGFactor,s;
 | 
|---|
| 968 |   fftw_complex PPdexpiGRpkg;
 | 
|---|
| 969 |   fftw_complex *dfnl = PP->dfnl;
 | 
|---|
| 970 |   for (it=0; it < I->Max_Types; it++) {
 | 
|---|
| 971 |     for (ilm=1; ilm <=PP->lm_end[it]; ilm++) {
 | 
|---|
| 972 |       MinusGFactor = Get_pkga_MinusG(ilm-1);
 | 
|---|
| 973 |       SetArrayToDouble0((double *)dfnl, 2*I->I[it].Max_IonsOfType);
 | 
|---|
| 974 |       for (iot=0; iot < I->I[it].Max_IonsOfType; iot++) {
 | 
|---|
| 975 |         s=0;
 | 
|---|
| 976 |         if (LevS->GArray[0].GSq == 0.0) {
 | 
|---|
| 977 |           dexpiGRpkg(PP, it, iot, ilm, 0, &PPdexpiGRpkg);
 | 
|---|
| 978 |           c_re(dfnl[iot]) += (c_re(ConDir[0])*c_re(PPdexpiGRpkg)-c_im(ConDir[0])*c_im(PPdexpiGRpkg));
 | 
|---|
| 979 |           c_im(dfnl[iot]) += (c_re(ConDir[0])*c_im(PPdexpiGRpkg)+c_im(ConDir[0])*c_re(PPdexpiGRpkg));
 | 
|---|
| 980 |           s++;
 | 
|---|
| 981 |         }
 | 
|---|
| 982 |         for (ig=s; ig < LevS->MaxG; ig++) {
 | 
|---|
| 983 |           dexpiGRpkg(PP, it, iot, ilm, ig, &PPdexpiGRpkg);
 | 
|---|
| 984 |           c_re(dfnl[iot]) += (c_re(ConDir[ig])*c_re(PPdexpiGRpkg)-c_im(ConDir[ig])*c_im(PPdexpiGRpkg));
 | 
|---|
| 985 |           c_im(dfnl[iot]) += (c_re(ConDir[ig])*c_im(PPdexpiGRpkg)+c_im(ConDir[ig])*c_re(PPdexpiGRpkg));
 | 
|---|
| 986 |           /* Minus G */
 | 
|---|
| 987 |           c_re(dfnl[iot]) += MinusGFactor*(c_re(ConDir[ig])*c_re(PPdexpiGRpkg)-c_im(ConDir[ig])*c_im(PPdexpiGRpkg));
 | 
|---|
| 988 |           c_im(dfnl[iot]) -= MinusGFactor*(c_re(ConDir[ig])*c_im(PPdexpiGRpkg)+c_im(ConDir[ig])*c_re(PPdexpiGRpkg));
 | 
|---|
| 989 |         }
 | 
|---|
| 990 |       }
 | 
|---|
| 991 |       MPI_Allreduce( dfnl, CDfnl[it][ilm-1], 2*I->I[it].Max_IonsOfType, MPI_DOUBLE, MPI_SUM, P->Par.comm_ST_Psi);
 | 
|---|
| 992 |     }
 | 
|---|
| 993 |   }
 | 
|---|
| 994 | }
 | 
|---|
| 995 | 
 | 
|---|
| 996 | /** Return non-local potential \f$V^{ps,nl}(G)|\Psi_{i} \rangle\f$.
 | 
|---|
| 997 |  * \a *HNL is set to zero and the non-local potential added.
 | 
|---|
| 998 |  * \param *P Problem at hand
 | 
|---|
| 999 |  * \param *HNL return array of real coefficients
 | 
|---|
| 1000 |  * \param ***fnl non-local form factors for specific wave function, see PseudoPot::fnl
 | 
|---|
| 1001 |  * \param PsiFactor occupation number of respective wave function
 | 
|---|
| 1002 |  * \sa CalculcateGradientNoRT() - used there in gradient calculation
 | 
|---|
| 1003 |  *     CalculateConDirHConDir() - used there with conjugate directions (different non-local form factors!)
 | 
|---|
| 1004 |  */
 | 
|---|
| 1005 | void CalculateAddNLPot(struct Problem *P, fftw_complex *HNL, fftw_complex ***fnl, double PsiFactor) 
 | 
|---|
| 1006 | {
 | 
|---|
| 1007 |   struct PseudoPot *PP = &P->PP;
 | 
|---|
| 1008 |   struct Ions *I = &P->Ion;
 | 
|---|
| 1009 |   struct RunStruct *R = &P->R;
 | 
|---|
| 1010 |   const struct LatticeLevel *LevS = R->LevS;
 | 
|---|
| 1011 |   int it,iot,ig,ilm;
 | 
|---|
| 1012 |   fftw_complex dexpiGR, dpkg, tt1, tt2, tt3, tt4, tt;
 | 
|---|
| 1013 |   double rr1=0, rr2=0, rr3=0, rr4=0;
 | 
|---|
| 1014 |   double *rr = PP->rr;
 | 
|---|
| 1015 |   fftw_complex *t = PP->t;
 | 
|---|
| 1016 |   SetArrayToDouble0((double *)HNL,2*LevS->MaxG);
 | 
|---|
| 1017 |   for (it=0; it < I->Max_Types; it++) {   //over all types
 | 
|---|
| 1018 |     if (PP->lm_end[it] == 4) {
 | 
|---|
| 1019 |       rr1 = PP->wNonLoc[it][0];
 | 
|---|
| 1020 |       rr2 = PP->wNonLoc[it][1];
 | 
|---|
| 1021 |       rr3 = PP->wNonLoc[it][2];
 | 
|---|
| 1022 |       rr4 = PP->wNonLoc[it][3];
 | 
|---|
| 1023 |     } else {
 | 
|---|
| 1024 |       for (ilm=0; ilm < PP->lm_end[it]; ilm++) {
 | 
|---|
| 1025 |         rr[ilm] = PP->wNonLoc[it][ilm];
 | 
|---|
| 1026 |       }
 | 
|---|
| 1027 |     }
 | 
|---|
| 1028 |     for (iot =0; iot < I->I[it].Max_IonsOfType; iot++) {  // over all ions of this type
 | 
|---|
| 1029 |       if (PP->lm_end[it] == 4) {  // over all lm-values
 | 
|---|
| 1030 |         c_re(tt1) = -c_re(fnl[it][0][iot])*rr1;
 | 
|---|
| 1031 |         c_im(tt1) = -c_im(fnl[it][0][iot])*rr1;
 | 
|---|
| 1032 |         c_re(tt2) = -c_re(fnl[it][1][iot])*rr2;
 | 
|---|
| 1033 |         c_im(tt2) = -c_im(fnl[it][1][iot])*rr2;
 | 
|---|
| 1034 |         c_re(tt3) = -c_re(fnl[it][2][iot])*rr3;
 | 
|---|
| 1035 |         c_im(tt3) = -c_im(fnl[it][2][iot])*rr3;
 | 
|---|
| 1036 |         c_re(tt4) = -c_re(fnl[it][3][iot])*rr4; 
 | 
|---|
| 1037 |         c_im(tt4) = -c_im(fnl[it][3][iot])*rr4; 
 | 
|---|
| 1038 |         for (ig=0; ig < LevS->MaxG; ig++) {
 | 
|---|
| 1039 |           expiGR(PP, it, iot, ig, &dexpiGR);
 | 
|---|
| 1040 |           c_re(dpkg) = PP->phi_ps_nl[it][0][ig]*c_re(tt1)+PP->phi_ps_nl[it][1][ig]*c_re(tt2)+PP->phi_ps_nl[it][2][ig]*c_re(tt3)+PP->phi_ps_nl[it][3][ig]*c_re(tt4); 
 | 
|---|
| 1041 |           c_im(dpkg) = PP->phi_ps_nl[it][0][ig]*c_im(tt1)+PP->phi_ps_nl[it][1][ig]*c_im(tt2)+PP->phi_ps_nl[it][2][ig]*c_im(tt3)+PP->phi_ps_nl[it][3][ig]*c_im(tt4); 
 | 
|---|
| 1042 |           c_re(HNL[ig]) -= (c_re(dexpiGR)*c_re(dpkg)-c_im(dexpiGR)*c_im(dpkg))*PsiFactor;
 | 
|---|
| 1043 |           c_im(HNL[ig]) -= (c_re(dexpiGR)*c_im(dpkg)+c_im(dexpiGR)*c_re(dpkg))*PsiFactor;
 | 
|---|
| 1044 |         }
 | 
|---|
| 1045 |       } else {
 | 
|---|
| 1046 |                 for (ilm=0; ilm < PP->lm_end[it]; ilm++) { // over all lm-values
 | 
|---|
| 1047 |                   c_re(t[ilm]) = -c_re(fnl[it][ilm][iot])*rr[ilm];
 | 
|---|
| 1048 |                   c_im(t[ilm]) = -c_im(fnl[it][ilm][iot])*rr[ilm];
 | 
|---|
| 1049 |                 }
 | 
|---|
| 1050 |                 if (PP->lm_end[it] > 0) {
 | 
|---|
| 1051 |                   for (ig=0; ig < LevS->MaxG; ig++) {
 | 
|---|
| 1052 |                     c_re(tt) = c_re(t[0])*PP->phi_ps_nl[it][0][ig];
 | 
|---|
| 1053 |                     c_im(tt) = c_im(t[0])*PP->phi_ps_nl[it][0][ig];     
 | 
|---|
| 1054 |                     for (ilm=1; ilm < PP->lm_end[it]; ilm++) {
 | 
|---|
| 1055 |                       c_re(tt) += c_re(t[ilm])*PP->phi_ps_nl[it][ilm][ig];
 | 
|---|
| 1056 |                       c_im(tt) += c_im(t[ilm])*PP->phi_ps_nl[it][ilm][ig];
 | 
|---|
| 1057 |                     }
 | 
|---|
| 1058 |                     expiGR(PP,it,iot,ig,&dexpiGR);
 | 
|---|
| 1059 |                     c_re(HNL[ig]) -= (c_re(dexpiGR)*c_re(tt)-c_im(dexpiGR)*c_im(tt))*PsiFactor;
 | 
|---|
| 1060 |                     c_im(HNL[ig]) -= (c_re(dexpiGR)*c_im(tt)+c_im(dexpiGR)*c_re(tt))*PsiFactor;
 | 
|---|
| 1061 |                   }
 | 
|---|
| 1062 |                 }
 | 
|---|
| 1063 |       }
 | 
|---|
| 1064 |     }
 | 
|---|
| 1065 |   }
 | 
|---|
| 1066 |   if (LevS->GArray[0].GSq == 0.0)
 | 
|---|
| 1067 |     HNL[0].im = 0.0;
 | 
|---|
| 1068 | }
 | 
|---|
| 1069 | 
 | 
|---|
| 1070 | /** Calculates the local force acting on ion.
 | 
|---|
| 1071 |  * \param *P Problem at hand
 | 
|---|
| 1072 |  */
 | 
|---|
| 1073 | void CalculateIonLocalForce(struct Problem *P) 
 | 
|---|
| 1074 | {
 | 
|---|
| 1075 |   int is,ia,g2,Index,s,i;
 | 
|---|
| 1076 |   double *G;
 | 
|---|
| 1077 |   struct Lattice *L = &P->Lat;
 | 
|---|
| 1078 |   struct Ions *I = &P->Ion;
 | 
|---|
| 1079 |   struct PseudoPot *PP = &P->PP;
 | 
|---|
| 1080 |   struct RunStruct *R = &P->R;
 | 
|---|
| 1081 |   struct LatticeLevel *Lev0 = R->Lev0;
 | 
|---|
| 1082 |   struct Density *Dens = Lev0->Dens;
 | 
|---|
| 1083 |   double ForceFac = L->Volume;
 | 
|---|
| 1084 |   double force, *dsum;
 | 
|---|
| 1085 |   fftw_complex cv;
 | 
|---|
| 1086 |   for (is=0; is < I->Max_Types; is++) {
 | 
|---|
| 1087 |     SetArrayToDouble0(I->FTemp, NDIM*I->I[is].Max_IonsOfType);
 | 
|---|
| 1088 |     for (ia=0;ia< I->I[is].Max_IonsOfType; ia++) {
 | 
|---|
| 1089 |       dsum = &I->FTemp[ia*NDIM];
 | 
|---|
| 1090 |       s = 0;
 | 
|---|
| 1091 |       if (Lev0->GArray[0].GSq == 0.0)
 | 
|---|
| 1092 |                 s++;
 | 
|---|
| 1093 |       for (g2=s; g2 < Lev0->MaxG; g2++) {
 | 
|---|
| 1094 |                 Index = Lev0->GArray[g2].Index;
 | 
|---|
| 1095 |                 G = Lev0->GArray[g2].G;
 | 
|---|
| 1096 |                 c_re(cv) = c_re(PP->VCoulombc[g2])*PP->FacGauss[is][g2]+PP->phi_ps_loc[is][g2]*c_re(Dens->DensityCArray[TotalDensity][Index])*R->HGcFactor;
 | 
|---|
| 1097 |                 c_im(cv) = c_im(PP->VCoulombc[g2])*PP->FacGauss[is][g2]-PP->phi_ps_loc[is][g2]*c_im(Dens->DensityCArray[TotalDensity][Index])*R->HGcFactor;
 | 
|---|
| 1098 |                 force = c_re(PP->ei[is][ia][g2])*c_im(cv)+c_im(PP->ei[is][ia][g2])*c_re(cv);
 | 
|---|
| 1099 |                 dsum[0] += 2.*(-G[0]*force);
 | 
|---|
| 1100 |                 dsum[1] += 2.*(-G[1]*force);
 | 
|---|
| 1101 |                 dsum[2] += 2.*(-G[2]*force);
 | 
|---|
| 1102 |       }
 | 
|---|
| 1103 |     }
 | 
|---|
| 1104 |     MPI_Allreduce( I->FTemp, I->I[is].FIonL, NDIM*I->I[is].Max_IonsOfType, MPI_DOUBLE, MPI_SUM, P->Par.comm_ST_Psi);
 | 
|---|
| 1105 |     for (ia=0;ia< I->I[is].Max_IonsOfType; ia++) 
 | 
|---|
| 1106 |       for (i=0; i<NDIM; i++)
 | 
|---|
| 1107 |                 I->I[is].FIonL[i+NDIM*ia] *= ForceFac;
 | 
|---|
| 1108 |   }
 | 
|---|
| 1109 | }
 | 
|---|
| 1110 | 
 | 
|---|
| 1111 | /** Calculates the non-local force acting on ion.
 | 
|---|
| 1112 |  * \param *P Problem at hand
 | 
|---|
| 1113 |  */
 | 
|---|
| 1114 | void CalculateIonNonLocalForce(struct Problem *P) 
 | 
|---|
| 1115 | {
 | 
|---|
| 1116 |   double *G;
 | 
|---|
| 1117 |   double fnl[NDIM], AllLocalfnl[NDIM], AllUpfnl[NDIM], AllDownfnl[NDIM], AllTotalfnl[NDIM];
 | 
|---|
| 1118 |   double Fac;
 | 
|---|
| 1119 |   struct Lattice *L = &P->Lat;
 | 
|---|
| 1120 |   struct Psis *Psi = &L->Psi;
 | 
|---|
| 1121 |   struct Ions *I = &P->Ion;
 | 
|---|
| 1122 |   struct PseudoPot *PP = &P->PP;
 | 
|---|
| 1123 |   struct RunStruct *R = &P->R;
 | 
|---|
| 1124 |   struct LatticeLevel *LevS = R->LevS;
 | 
|---|
| 1125 |   int MinusGFactor;
 | 
|---|
| 1126 |   fftw_complex PPdexpiGRpkg, sf_a, sf_s, *LocalPsi;
 | 
|---|
| 1127 |   int is,ia,ilm,ig,i,s,d;
 | 
|---|
| 1128 |   MPI_Status status;
 | 
|---|
| 1129 |   for (is=0; is < I->Max_Types; is++) {
 | 
|---|
| 1130 |     SetArrayToDouble0(I->I[is].FIonNL, NDIM*I->I[is].Max_IonsOfType);
 | 
|---|
| 1131 |     for (ia=0;ia< I->I[is].Max_IonsOfType; ia++) {
 | 
|---|
| 1132 |       for (d=0; d<NDIM; d++)
 | 
|---|
| 1133 |                     fnl[d] = 0.0;
 | 
|---|
| 1134 |       for (i=0; i < L->Psi.LocalNo; i++) if (Psi->LocalPsiStatus[i].PsiType == P->R.CurrentMin) {
 | 
|---|
| 1135 |                 LocalPsi = LevS->LPsi->LocalPsi[i]; 
 | 
|---|
| 1136 |                 for (ilm=1; ilm <=PP->lm_end[is]; ilm++) {
 | 
|---|
| 1137 |                   MinusGFactor = Get_pkga_MinusG(ilm-1);
 | 
|---|
| 1138 |                   Fac = Psi->LocalPsiStatus[i].PsiFactor*PP->wNonLoc[is][ilm-1];
 | 
|---|
| 1139 |                   c_re(sf_s) = c_re(PP->fnl[i][is][ilm-1][ia]);
 | 
|---|
| 1140 |                   c_im(sf_s) = c_im(PP->fnl[i][is][ilm-1][ia]);
 | 
|---|
| 1141 |                   s=0;
 | 
|---|
| 1142 |                   if (LevS->GArray[0].GSq == 0.0) {
 | 
|---|
| 1143 |                     s++;
 | 
|---|
| 1144 |                   }
 | 
|---|
| 1145 |                   for (ig=s; ig < LevS->MaxG; ig++) {
 | 
|---|
| 1146 |                     dexpiGRpkg(PP, is, ia, ilm, ig, &PPdexpiGRpkg);
 | 
|---|
| 1147 |                     G = LevS->GArray[ig].G;    
 | 
|---|
| 1148 |                     for (d=0; d <NDIM; d++) {
 | 
|---|
| 1149 |                       c_re(sf_a) = (c_re(LocalPsi[ig])*c_re(PPdexpiGRpkg)*G[d]-c_im(LocalPsi[ig])*c_im(PPdexpiGRpkg)*G[d]);
 | 
|---|
| 1150 |                       c_im(sf_a) = (c_re(LocalPsi[ig])*c_im(PPdexpiGRpkg)*G[d]+c_im(LocalPsi[ig])*c_re(PPdexpiGRpkg)*G[d]);
 | 
|---|
| 1151 |                       /* Minus G */
 | 
|---|
| 1152 |                       c_re(sf_a) -= MinusGFactor*(c_re(LocalPsi[ig])*c_re(PPdexpiGRpkg)*G[d]-c_im(LocalPsi[ig])*c_im(PPdexpiGRpkg)*G[d]);
 | 
|---|
| 1153 |                       c_im(sf_a) += MinusGFactor*(c_re(LocalPsi[ig])*c_im(PPdexpiGRpkg)*G[d]+c_im(LocalPsi[ig])*c_re(PPdexpiGRpkg)*G[d]);
 | 
|---|
| 1154 |                       fnl[d] += Fac*(c_re(sf_a)*c_im(sf_s)-c_im(sf_a)*c_re(sf_s));
 | 
|---|
| 1155 |                     }
 | 
|---|
| 1156 |                   }
 | 
|---|
| 1157 |                 }
 | 
|---|
| 1158 |       } 
 | 
|---|
| 1159 |       MPI_Allreduce( fnl, AllLocalfnl, NDIM, MPI_DOUBLE, MPI_SUM, P->Par.comm_ST_Psi);
 | 
|---|
| 1160 |       switch (Psi->PsiST) {
 | 
|---|
| 1161 |               case SpinDouble:
 | 
|---|
| 1162 |                         MPI_Allreduce(AllLocalfnl, AllTotalfnl, NDIM, MPI_DOUBLE, MPI_SUM, P->Par.comm_ST_PsiT); 
 | 
|---|
| 1163 |                       break;
 | 
|---|
| 1164 |               case SpinUp:
 | 
|---|
| 1165 |                         MPI_Allreduce(AllLocalfnl, AllUpfnl, NDIM, MPI_DOUBLE, MPI_SUM, P->Par.comm_ST_PsiT); 
 | 
|---|
| 1166 |                         MPI_Sendrecv(AllUpfnl, NDIM, MPI_DOUBLE, P->Par.me_comm_ST, EnergyTag3,
 | 
|---|
| 1167 |                              AllDownfnl, NDIM, MPI_DOUBLE, P->Par.me_comm_ST, EnergyTag4,
 | 
|---|
| 1168 |                              P->Par.comm_STInter, &status );
 | 
|---|
| 1169 |                 for (d=0; d< NDIM; d++)
 | 
|---|
| 1170 |                   AllTotalfnl[d] = AllUpfnl[d] + AllDownfnl[d];
 | 
|---|
| 1171 |                 break;
 | 
|---|
| 1172 |               case SpinDown:
 | 
|---|
| 1173 |                         MPI_Allreduce(AllLocalfnl, AllDownfnl, NDIM, MPI_DOUBLE, MPI_SUM, P->Par.comm_ST_PsiT);
 | 
|---|
| 1174 |                         MPI_Sendrecv(AllDownfnl, NDIM, MPI_DOUBLE, P->Par.me_comm_ST, EnergyTag4,
 | 
|---|
| 1175 |                              AllUpfnl, NDIM, MPI_DOUBLE, P->Par.me_comm_ST, EnergyTag3,
 | 
|---|
| 1176 |                              P->Par.comm_STInter, &status );
 | 
|---|
| 1177 |                 for (d=0; d < NDIM; d++)
 | 
|---|
| 1178 |                   AllTotalfnl[d] = AllUpfnl[d] + AllDownfnl[d];
 | 
|---|
| 1179 |                 break;
 | 
|---|
| 1180 |                 }
 | 
|---|
| 1181 |       for (d=0; d<NDIM;d++)
 | 
|---|
| 1182 |                 I->I[is].FIonNL[d+NDIM*ia] -= AllTotalfnl[d]*2.0;
 | 
|---|
| 1183 |     }
 | 
|---|
| 1184 |   }  
 | 
|---|
| 1185 | }
 | 
|---|