96 lines
3.3 KiB
C
96 lines
3.3 KiB
C
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/* Copyright (C) 2005-2011 M. T. Homer Reid
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*
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* This file is part of SCUFF-EM.
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*
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* SCUFF-EM is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2 of the License, or
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* (at your option) any later version.
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*
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* SCUFF-EM is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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*/
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/*
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* libBeyn.h -- header file for libBeyn, a simple implementation of
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* -- Beyn's algorithm for nonlinear eigenproblems
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* --
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* -- This is packaged together with SCUFF-EM, but
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* -- it is really a standalone independent entity
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* -- for general-purpose use in solving nonlinear
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* -- eigenproblems.
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*/
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#ifndef LIBBEYN_H
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#define LIBBEYN_H
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#include <stdio.h>
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#include <stdlib.h>
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#include <math.h>
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#include <stdarg.h>
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#include <fenv.h>
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#include <complex.h>
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// Needs to be changed to gsl or something
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//#include <libhmat.h>
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#include <gsl/gsl_matrix.h>
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/***************************************************************/
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/* prototype for user-supplied function passed to BeynMethod. */
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/* The user's function should replace VHat with */
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/* Inverse[ M(z) ] * VHat. */
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/***************************************************************/
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typedef void (*BeynFunction)(double complex z, void *Params, gsl_matrix_complex *VHat, gsl_matrix_complex *MVHat);
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/***************************************************************/
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/***************************************************************/
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/***************************************************************/
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typedef struct BeynSolver
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{
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int M; // dimension of matrices
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int L; // number of columns of VHat matrix
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gsl_vector_complex *Eigenvalues, *EVErrors, *Residuals;
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gsl_matrix_complex *Eigenvectors;
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gsl_matrix_complex *A0, *A1, *A0Coarse, *A1Coarse, *MInvVHat;
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gsl_matrix_complex *VHat;
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gsl_vector_complex *Sigma;
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double complex *Workspace;
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} BeynSolver;
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// constructor, destructor
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BeynSolver *CreateBeynSolver(int M, int L);
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void DestroyBeynSolver(BeynSolver *Solver);
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// reset the random matrix VHat used in the Beyn algorithm
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//
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void ReRandomize(BeynSolver *Solver, unsigned int RandSeed);
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// for both of the following routines,
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// the return value is the number of eigenvalues found,
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// and the eigenvalues and eigenvectors are stored in the
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// Lambda and Eigenvectors fields of the BeynSolver structure
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// Beyn method for circular contour of radius R,
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// centered at z0, using N quadrature points
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//int BeynSolve(BeynSolver *Solver,
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// BeynFunction UserFunction, void *Params,
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// double complex z0, double R, int N);
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// Beyn method for elliptical contour of horizontal, vertical
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// radii Rx, Ry, centered at z0, using N quadrature points
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int BeynSolve(BeynSolver *Solver,
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BeynFunction UserFunction, void *Params,
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double complex z0, double Rx, double Ry, int N);
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#endif
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