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#define EXTERN extern
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#include "pcwin.h"
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#include "pcmod.h"
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#include "utility.h"
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#include "job_control.h"
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#include <sys/timeb.h>
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#include <time.h>
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// mode
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#define NONE 0
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#define Failure 6
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double energy(void);
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void tncg(double,int,int,int *,double *,double *, double, double (*)(), void (*)());
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void mqn(double,int , int, int *,double *,double *, double *, double (*)() );
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void search(int,double *,double *,double *,double *,double,double *,int *,double (*)(),int *);
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void newton2(int, double *,double *,int *, int *, int *, double *);
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void hessian(int, double *, int *, int *, int *,double *);
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void gradient(void);
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double minimiz1(double *, double *);
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void minimize(int natom,int *use,double *x,double *y,double *z);
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double get_total_energy(void);
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double get_total_deriv_x(int i);
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double get_total_deriv_y(int i);
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double get_total_deriv_z(int i);
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void write_sdf(int);
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struct t_minvar{
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double cappa, stpmin, stpmax, angmax;
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int intmax;
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} minvar;
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EXTERN struct t_minim_control {
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int type, method, field, added_const;
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char added_path[256],added_name[256];
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} minim_control;
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EXTERN struct t_minim_values {
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int iprint, ndc, nconst;
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float dielc;
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} minim_values;
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double scale2;
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// =====================================
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void minimize(int natom,int *use,double *x,double *y,double *z)
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{
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int i,nvar, iter, icount;
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double minimum,grdmin;
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// double minimiz1();
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double etot,stime;
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double *xx; // xx[maxvar];
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int method, maxvar;
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double start_time;
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struct timeval tv;
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maxvar = 3*natom;
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xx = dvector(0,maxvar);
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grdmin = 1.0;
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scale2 = 12.0; // bfgs 12.0
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if (job_control.monitor)
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{
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gettimeofday(&tv,NULL);
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start_time = tv.tv_sec + (tv.tv_usec/(double)1000000.0);
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}
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else
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start_time = 0;
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if (minim_control.method == 1 || minim_control.method == 3 || minim_control.method == 4)
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{
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nvar = 0;
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icount = 0;
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for (i=1; i <= natom; i++)
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{
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if (use[i])
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{
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xx[nvar] = x[i]*scale2;
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nvar++;
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xx[nvar] = y[i]*scale2;
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nvar++;
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xx[nvar] = z[i]*scale2;
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nvar++;
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}
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}
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method = 1;
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grdmin = 0.5;
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if (minim_control.method == 1)
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grdmin = 0.1;
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else
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grdmin = 0.5;
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mqn(start_time,nvar,method, &iter,xx, &minimum, &grdmin, minimiz1 );
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}
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if (grdmin > 1.00)
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{
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free_dvector(xx, 0, maxvar);
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return;
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}
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if (minim_control.method == 2 || minim_control.method == 3 || minim_control.method == 4)
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{
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scale2 = 1.0; // tcng
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grdmin = 0.0001;
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nvar = 0;
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icount = 0;
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for (i=1; i <= natom; i++)
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{
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if (use[i])
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{
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xx[nvar] = x[i]*scale2;
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nvar++;
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xx[nvar] = y[i]*scale2;
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nvar++;
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xx[nvar] = z[i]*scale2;
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nvar++;
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}
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}
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tncg(start_time, nvar,method,&iter, xx, &minimum, grdmin,minimiz1, newton2);
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nvar = 0;
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for (i=1; i <= natom; i++)
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{
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if (use[i])
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{
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x[i] = xx[nvar]/scale2;
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nvar++;
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y[i] = xx[nvar]/scale2;
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nvar++;
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z[i] = xx[nvar]/scale2;
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nvar++;
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}
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}
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}
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if (minimum < -1000.0)
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{
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etot = energy();
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free_dvector(xx, 0, maxvar);
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return;
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}
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free_dvector(xx, 0, maxvar);
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if (job_control.monitor)
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job_control.monitor = FALSE;
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}
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// ======================================
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void mqn(double start_time,int nvar,int method,int *iter, double *x, double *minimum, double *grdmin, double (*fgvalue) ())
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{
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int i,ncalls,nerror;
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int niter,period,nstart;
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double fast,slow,epsln,d1temp,d2temp;
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double f,f_old,f_new,f_move;
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double rms,beta,x_move,g_norm,g_rms;
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double gg,gg_old;
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double sg,dg,sd,dd,angle;
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double *g, *p; // g[maxvar];
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double *x_old, *g_old; // x_old[maxvar],g_old[maxvar];
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double *s, *d; // p[maxvar],s[maxvar],d[maxvar];
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double fctmin;
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int restart, terminate;
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int maxiter, nextiter,status, maxvar;
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struct timeval tv;
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double end_time,old_time,ttime;
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old_time = start_time;
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maxvar = 3*natom;
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x_old = dvector(0,maxvar);
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g_old = dvector(0,maxvar);
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g = dvector(0,maxvar);
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p = dvector(0,maxvar);
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s = dvector(0,maxvar);
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d = dvector(0,maxvar);
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ncalls = 0;
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rms = sqrt((float)nvar)/ sqrt(3.0);
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restart = TRUE;
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terminate = FALSE;
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status = 0;
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nerror = 0;
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fctmin = -10000.0;
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maxiter = 1000;
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nextiter = 1;
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fast = 0.5;
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slow = 0.0;
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epsln = 1.0e-16;
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if (nvar > 200)
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period = nvar;
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else
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period = 200;
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minvar.cappa = .1;
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minvar.stpmin = 1.0e-20;
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minvar.stpmax = 5.0;
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minvar.angmax = 100.0;
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minvar.intmax = 5;
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niter = nextiter -1;
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maxiter = niter + maxiter;
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ncalls = ncalls + 1;
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f = fgvalue(x, g); // get function and first deriv at original point
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g_norm = 0.0;
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for (i=0; i < nvar; i++)
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{
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x_old[i] = x[i];
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g_old[i] = g[i];
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g_norm += g[i]*g[i];
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}
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g_norm = sqrt(g_norm);
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f_move = 0.5*minvar.stpmax*g_norm;
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g_rms = g_norm*scale2/rms;
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if (niter > maxiter)
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terminate = TRUE;
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if (f < fctmin)
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terminate = TRUE;
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if (g_rms < *grdmin)
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terminate = TRUE;
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while ( ! terminate)
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{
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niter++;
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status = 0;
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if (restart || method == 0)
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{
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for (i=0; i < nvar; i++)
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p[i] = -g[i];
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nstart = niter;
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restart = FALSE;
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} else if (method == 1) // BFGS method
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{
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sg = 0.0;
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dg = 0.0;
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dd = 0.0;
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sd = 0.0;
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for (i=0; i < nvar; i++)
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{
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sg += s[i]*g[i];
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dg += d[i]*g[i];
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dd += d[i]*d[i];
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sd += s[i]*d[i];
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}
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for (i=0; i < nvar; i++)
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{
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d1temp = (d[i]*sg + s[i]*dg)/sd;
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d2temp = (1.0+dd/sd)*(s[i]*sg/sd);
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p[i] = -g[i] + d1temp - d2temp;
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}
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} else if (method == 2) // Fletcher Reeves
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{
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gg = 0.0;
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gg_old = 0.0;
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for (i=0; i < nvar; i++)
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{
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gg += g[i]*g[i];
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gg_old += g_old[i]*g_old[i];
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}
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beta = gg/gg_old;
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for (i=0; i < nvar; i++)
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p[i] = -g[i] + beta*p[i];
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} else if (method == 3) // Polak Ribere
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{
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dg = 0.0;
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gg_old = 0.0;
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for (i=0; i < nvar; i++)
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{
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dg += d[i]*g[i];
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gg_old += g_old[i]*g_old[i];
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}
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beta = dg/gg_old;
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for (i=0; i < nvar; i++)
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p[i] = -g[i] + beta*p[i];
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}
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// do a line search
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f_old = f;
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search(nvar,&f,g,x,p,f_move,&angle,&ncalls,fgvalue,&status);
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if (status == Failure)
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{
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g_rms = 1000.0;
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terminate = TRUE;
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goto L_DONE;
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}
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f_new = f;
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f_move = f_old - f_new;
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x_move = 0.0;
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g_norm = 0.0;
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for (i=0; i < nvar; i++)
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{
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s[i] = x[i] - x_old[i];
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d[i] = g[i] - g_old[i];
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x_move += s[i]*s[i];
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g_norm += g[i]*g[i];
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x_old[i] = x[i];
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g_old[i] = g[i];
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}
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x_move = sqrt(x_move) / (scale2 * rms);
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g_norm = sqrt(g_norm);
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g_rms = g_norm * scale2/rms;
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// function increase
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if (f_move <= 0.0)
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{
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// status = Increase;
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nerror = nerror + 1;
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if (nerror == 3)
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terminate = TRUE;
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else
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restart = TRUE;
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for(i=0; i < nvar; i++)
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{
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x[i] = x_old[i];
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g[i] = g_old[i];
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}
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}
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if (x_move < epsln)
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{
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nerror++;
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if (nerror > 3)
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terminate = TRUE;
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else
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restart = TRUE;
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}
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// normal termination
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if (f < fctmin)
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{
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// status = SmallFct;
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terminate = TRUE;
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}
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if (g_rms < *grdmin)
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{
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// status = SmallGrad;
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nerror++;
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342 |
if (nerror > 1)
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terminate = TRUE;
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else
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restart = TRUE;
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}
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// check monitor
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if (job_control.monitor)
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{
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350 |
gettimeofday(&tv,NULL);
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end_time = tv.tv_sec + (tv.tv_usec/(double)1000000.0);
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ttime = (end_time-old_time);
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if ( ttime > 0 && (ttime > job_control.interval) )
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{
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355 |
// fprintf(pcmlogfile,"Times: %f %f %f\n",start_time,end_time,ttime);
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old_time = end_time;
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357 |
write_sdf(0);
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358 |
}
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}
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// check abort signal
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361 |
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}
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363 |
L_DONE:
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*minimum = f;
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*grdmin = g_rms;
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*iter = niter;
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free_dvector(x_old ,0,maxvar);
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free_dvector(g_old,0,maxvar);
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free_dvector( g ,0,maxvar);
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free_dvector( p ,0,maxvar);
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free_dvector( s ,0,maxvar);
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free_dvector( d ,0,maxvar);
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}
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374 |
// ==============================
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double minimiz1(double *xx, double *g)
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{
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377 |
int i,nvar;
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double e_min;
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379 |
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nvar = 0;
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381 |
for (i = 1; i <= natom; i++)
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382 |
{
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383 |
if (atom.use[i])
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384 |
{
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385 |
atom.x[i] = xx[nvar]/scale2;
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386 |
nvar++;
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387 |
atom.y[i] = xx[nvar]/scale2;
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388 |
nvar++;
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389 |
atom.z[i] = xx[nvar]/scale2;
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390 |
nvar++;
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}
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392 |
}
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393 |
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394 |
gradient();
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395 |
e_min = get_total_energy();
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396 |
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397 |
nvar = 0;
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398 |
for (i=1; i <= natom; i++)
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399 |
{
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400 |
if (atom.use[i])
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401 |
{
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402 |
xx[nvar] = atom.x[i]*scale2;
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403 |
g[nvar] = get_total_deriv_x(i)/scale2;
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404 |
nvar++;
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405 |
xx[nvar] = atom.y[i]*scale2;
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406 |
g[nvar] = get_total_deriv_y(i)/scale2;
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407 |
nvar++;
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408 |
xx[nvar] = atom.z[i]*scale2;
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409 |
g[nvar] = get_total_deriv_z(i)/scale2;
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410 |
nvar++;
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411 |
}
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412 |
}
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413 |
return(e_min);
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414 |
}
|
415 |
// =====================
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416 |
void newton2(int mode, double *xx,double *h,int *hinit,
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417 |
int *hstop, int *hindex, double *hdiag)
|
418 |
{
|
419 |
int i,j,k,nvar, maxvar, nuse, maxhess;
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420 |
int *hvar, *huse; // hvar[maxvar],huse[maxvar];
|
421 |
|
422 |
if (mode == NONE)
|
423 |
return;
|
424 |
|
425 |
maxvar = 3*natom;
|
426 |
hvar = ivector(0,maxvar);
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427 |
huse = ivector(0,maxvar);
|
428 |
|
429 |
nvar = 0;
|
430 |
nuse = TRUE;
|
431 |
for (i=1; i <= natom; i++)
|
432 |
{
|
433 |
if (atom.use[i])
|
434 |
{
|
435 |
atom.x[i] = xx[nvar];
|
436 |
nvar++;
|
437 |
atom.y[i] = xx[nvar];
|
438 |
nvar++;
|
439 |
atom.z[i] = xx[nvar];
|
440 |
nvar++;
|
441 |
} else
|
442 |
nuse = FALSE;
|
443 |
}
|
444 |
|
445 |
if (natom < 300)
|
446 |
maxhess = (3*natom*(3*natom-1))/2;
|
447 |
else if (natom < 800)
|
448 |
maxhess = (3*natom*(3*natom-1))/3;
|
449 |
else
|
450 |
maxhess = (3*natom*(3*natom-1))/20;
|
451 |
|
452 |
hessian(maxhess, h,hinit,hstop,hindex,hdiag);
|
453 |
|
454 |
nvar = 0;
|
455 |
if (nuse == FALSE)
|
456 |
{
|
457 |
for (i=1; i <= natom; i++)
|
458 |
{
|
459 |
k = 3*(i-1);
|
460 |
if (atom.use[i])
|
461 |
{
|
462 |
for (j=0; j < 3; j++)
|
463 |
{
|
464 |
hvar[nvar] = j+k;
|
465 |
huse[j+k] = nvar;
|
466 |
nvar++;
|
467 |
}
|
468 |
} else
|
469 |
{
|
470 |
for (j=0; j < 3; j++)
|
471 |
huse[j+k] = 0;
|
472 |
}
|
473 |
}
|
474 |
for (i=0; i < nvar; i++)
|
475 |
{
|
476 |
k = hvar[i];
|
477 |
hinit[i] = hinit[k];
|
478 |
hstop[i] = hstop[k];
|
479 |
hdiag[i] = hdiag[k];
|
480 |
for (j=hinit[i]; j < hstop[i]; j++)
|
481 |
hindex[j] = huse[hindex[j]];
|
482 |
}
|
483 |
}
|
484 |
//
|
485 |
nvar = 0;
|
486 |
for (i=1; i <= natom; i++)
|
487 |
{
|
488 |
if (atom.use[i])
|
489 |
{
|
490 |
xx[nvar] = atom.x[i];
|
491 |
nvar++;
|
492 |
xx[nvar] = atom.y[i];
|
493 |
nvar++;
|
494 |
xx[nvar] = atom.z[i];
|
495 |
nvar++;
|
496 |
}
|
497 |
}
|
498 |
free_ivector(hvar ,0,maxvar);
|
499 |
free_ivector(huse ,0,maxvar);
|
500 |
|
501 |
}
|
502 |
|
503 |
|
504 |
|