eigensolver_utils.c

来自「MIT开发出来的计算光子晶体的软件」· C语言 代码 · 共 109 行

/* Copyright (C) 1999, 2000, 2001, 2002, Massachusetts Institute of Technology.
 *
 * This program is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 2 of the License, or
 * (at your option) any later version.
 *
 * This program 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 this program; if not, write to the Free Software
 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
 */

#include <stdlib.h>
#include <stdio.h>
#include <math.h>

#include "../config.h"
#include <mpiglue.h>
#include <check.h>
#include <scalar.h>
#include <matrices.h>

#include "eigensolver.h"

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

void eigensolver_get_eigenvals_aux(evectmatrix Y, real *eigenvals,
				   evectoperator A, void *Adata,
				   evectmatrix Work1, evectmatrix Work2,
				   sqmatrix U, sqmatrix Usqrt,
				   sqmatrix Uwork)
{
     sqmatrix_sqrt(Usqrt, U, Uwork); /* Usqrt = 1/sqrt(Yt*Y) */
     evectmatrix_XeYS(Work1, Y, Usqrt, 1);  /* Work1 = orthornormalize(Y) */

     A(Work1, Work2, Adata, 1, Y); /* Work2 = A Work1; Y is scratch */
     evectmatrix_XtY(U, Work1, Work2, Uwork);  /* U = Work1 * A * Work1 */

     sqmatrix_eigensolve(U, eigenvals, Uwork);
     evectmatrix_XeYS(Y, Work1, U, 1);
}

void eigensolver_get_eigenvals(evectmatrix Y, real *eigenvals,
			       evectoperator A, void *Adata,
			       evectmatrix Work1, evectmatrix Work2)
{
     sqmatrix U, Usqrt, Uwork;
 
     U = create_sqmatrix(Y.p);
     Usqrt = create_sqmatrix(Y.p);
     Uwork = create_sqmatrix(Y.p);

     evectmatrix_XtX(U, Y, Uwork);
     sqmatrix_invert(U, 1, Uwork);

     eigensolver_get_eigenvals_aux(Y, eigenvals, A, Adata, Work1, Work2,
				   U, Usqrt, Uwork);

     destroy_sqmatrix(U);
     destroy_sqmatrix(Usqrt);
     destroy_sqmatrix(Uwork);
}

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

/* Subroutines for chaining constraints, to make it easy to pass
   multiple constraint functions to the eigensolver: */

evectconstraint_chain *evect_add_constraint(evectconstraint_chain *constraints,
					    evectconstraint C,
					    void *constraint_data)
{
     evectconstraint_chain *new_constraints;

     CHK_MALLOC(new_constraints, evectconstraint_chain, 1);

     new_constraints->C = C;
     new_constraints->constraint_data = constraint_data;
     new_constraints->next = constraints;
     return new_constraints;
}

void evect_destroy_constraints(evectconstraint_chain *constraints)
{
     while (constraints) {
	  evectconstraint_chain *cur_constraint = constraints;
	  constraints = constraints->next;
	  free(cur_constraint);
     }
}

void evectconstraint_chain_func(evectmatrix X, void *data)
{
     evectconstraint_chain *constraints = (evectconstraint_chain *) data;

     while (constraints) {
	  if (constraints->C)
	       constraints->C(X, constraints->constraint_data);
          constraints = constraints->next;
     }
}