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/* lapack.c: LAPACK interface
Copyright 2008-2013 Hendrik Weimer
This file is part of libquantum
libquantum is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published
by the Free Software Foundation; either version 3 of the License,
or (at your option) any later version.
libquantum is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
General Public License for more details.
You should have received a copy of the GNU General Public License
along with libquantum; if not, write to the Free Software
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA
*/
#include <stdlib.h>
#include <math.h>
#include "lapack.h"
#include "matrix.h"
#include "complex.h"
#include "qureg.h"
#include "error.h"
#include "config.h"
extern void cheev_(char *jobz, char *uplo, int *n, float _Complex *A, int *lda,
float *w, float _Complex *work, int *lwork, float *rwork,
int *info);
extern void zheev_(char *jobz, char *uplo, int *n, double _Complex *A, int *lda,
double *w, double _Complex *work, int *lwork, double *rwork,
int *info);
void
quantum_diag_time(double t, quantum_reg *reg0, quantum_reg *regt,
quantum_reg *tmp1, quantum_reg *tmp2, quantum_matrix H,
REAL_FLOAT **w)
{
#ifdef HAVE_LIBLAPACK
char jobz = 'V';
char uplo = 'U';
int dim = H.cols;
COMPLEX_FLOAT *work;
int lwork = -1;
REAL_FLOAT rwork[3*dim-2];
int info;
int i, j;
void *p;
if(tmp2->size != reg0->size)
{
/* perform diagonalization */
for(i=0; i<dim; i++)
{
for(j=0; j<dim; j++)
{
if(sqrt(quantum_prob(M(H, i, j) - quantum_conj(M(H, j, i))))
> 1e-6)
quantum_error(QUANTUM_EHERMITIAN);
}
}
p = regt->amplitude;
*regt = *reg0;
regt->amplitude = realloc(p, regt->size*sizeof(COMPLEX_FLOAT));
p = tmp1->amplitude;
*tmp1 = *reg0;
tmp1->amplitude = realloc(p, regt->size*sizeof(COMPLEX_FLOAT));
p = tmp2->amplitude;
*tmp2 = *reg0;
tmp2->amplitude = realloc(p, regt->size*sizeof(COMPLEX_FLOAT));
if(!(regt->amplitude && tmp1->amplitude && tmp2->amplitude))
quantum_error(QUANTUM_ENOMEM);
*w = malloc(dim*sizeof(float));
if(!*w)
quantum_error(QUANTUM_ENOMEM);
work = malloc(sizeof(COMPLEX_FLOAT));
if(!work)
quantum_error(QUANTUM_ENOMEM);
QUANTUM_LAPACK_SOLVER(&jobz, &uplo, &dim, H.t, &dim, *w, work, &lwork,
rwork, &info);
if(info < 0)
quantum_error(QUANTUM_ELAPACKARG);
else if(info > 0)
quantum_error(QUANTUM_ELAPACKCONV);
lwork = (int) work[0];
work = realloc(work, lwork*sizeof(COMPLEX_FLOAT));
if(!work)
quantum_error(QUANTUM_ENOMEM);
QUANTUM_LAPACK_SOLVER(&jobz, &uplo, &dim, H.t, &dim, *w, work, &lwork,
rwork, &info);
if(info < 0)
quantum_error(QUANTUM_ELAPACKARG);
else if(info > 0)
quantum_error(QUANTUM_ELAPACKCONV);
free(work);
quantum_mvmult(tmp1, H, reg0);
quantum_adjoint(&H);
}
if(tmp1->size != reg0->size)
{
p = regt->amplitude;
*regt = *reg0;
regt->amplitude = realloc(p, regt->size*sizeof(COMPLEX_FLOAT));
p = tmp1->amplitude;
*tmp1 = *reg0;
tmp1->amplitude = realloc(p, regt->size*sizeof(COMPLEX_FLOAT));
quantum_adjoint(&H);
quantum_mvmult(tmp1, H, reg0);
quantum_adjoint(&H);
}
for(i=0; i<dim; i++)
tmp2->amplitude[i] = quantum_cexp(-(*w)[i]*t)*tmp1->amplitude[i];
quantum_mvmult(regt, H, tmp2);
#else
quantum_error(QUANTUM_ENOLAPACK);
#endif /* HAVE_LIBLAPACK */
}
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