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/*
* iemmatrix
*
* objects for manipulating simple matrices
* mostly refering to matlab/octave matrix functions
* this functions depends on the GNU scientific library
*
* Copyright (c) 2009, Franz Zotter
* IEM, Graz, Austria
*
* For information on usage and redistribution, and for a DISCLAIMER OF ALL
* WARRANTIES, see the file, "LICENSE.txt," in this distribution.
*
*/
#include "iemmatrix.h"
#include <stdlib.h>
#ifdef HAVE_LIBGSL
#include <gsl/gsl_eigen.h>
#endif
static t_class *mtx_eig_class;
enum WithEigenVectors {WITHEVS=1, WITHOUTEVS=0};
typedef struct _MTXEig_ MTXEig;
struct _MTXEig_
{
t_object x_obj;
#ifdef HAVE_GSL_EIGEN_NONSYMM
gsl_matrix *a;
gsl_matrix_complex *q;
gsl_vector_complex *l;
gsl_eigen_nonsymm_workspace *w;
gsl_eigen_nonsymmv_workspace *wv;
#endif
t_outlet *list_q_out_re;
t_outlet *list_q_out_im;
t_outlet *list_l_out_re;
t_outlet *list_l_out_im;
t_atom *list_q_re;
t_atom *list_q_im;
t_atom *list_l_re;
t_atom *list_l_im;
int size;
enum WithEigenVectors withevs;
};
#ifdef HAVE_GSL_EIGEN_NONSYMM
static void allocMTXqlw (MTXEig *x)
{
x->a=(gsl_matrix*)gsl_matrix_alloc(x->size,x->size);
x->l=(gsl_vector_complex*)gsl_vector_complex_alloc(x->size);
switch (x->withevs) {
case WITHEVS:
x->wv=(gsl_eigen_nonsymmv_workspace*)gsl_eigen_nonsymmv_alloc(x->size);
x->q=(gsl_matrix_complex*)gsl_matrix_complex_alloc(x->size,x->size);
break;
case WITHOUTEVS:
x->w=(gsl_eigen_nonsymm_workspace*)gsl_eigen_nonsymm_alloc(x->size);
}
x->list_q_re=(t_atom*)calloc(sizeof(t_atom),x->size*x->size+2);
x->list_q_im=(t_atom*)calloc(sizeof(t_atom),x->size*x->size+2);
x->list_l_re=(t_atom*)calloc(sizeof(t_atom),x->size);
x->list_l_im=(t_atom*)calloc(sizeof(t_atom),x->size);
}
static void deleteMTXqlw (MTXEig *x)
{
if (x->list_q_re!=0)
free(x->list_q_re);
if (x->list_q_im!=0)
free(x->list_q_im);
if (x->list_l_re!=0)
free(x->list_l_re);
if (x->list_l_im!=0)
free(x->list_l_im);
x->list_q_re = 0;
x->list_q_im = 0;
x->list_l_re = 0;
x->list_l_im = 0;
if (x->a!=0)
gsl_matrix_free(x->a);
if (x->q!=0)
gsl_matrix_complex_free(x->q);
if (x->l!=0)
gsl_vector_complex_free(x->l);
if (x->w!=0)
gsl_eigen_nonsymm_free(x->w);
if (x->wv!=0)
gsl_eigen_nonsymmv_free(x->wv);
x->a = 0;
x->q = 0;
x->l = 0;
x->w = 0;
x->wv = 0;
}
#endif
static void deleteMTXEig (MTXEig *x)
{
#ifdef HAVE_GSL_EIGEN_NONSYMM
deleteMTXqlw(x);
#endif
}
static void *newMTXEig (t_symbol *s, int argc, t_atom *argv)
{
MTXEig *x = (MTXEig *) pd_new (mtx_eig_class);
x->list_l_out_re = outlet_new (&x->x_obj, gensym("list"));
x->list_l_out_im = outlet_new (&x->x_obj, gensym("list"));
if (atom_getsymbol(argv)==gensym("v")) {
x->withevs=1;
x->list_q_out_re = outlet_new (&x->x_obj, gensym("matrix"));
x->list_q_out_im = outlet_new (&x->x_obj, gensym("matrix"));
}
x->list_l_re = 0;
x->list_l_im = 0;
x->list_q_re = 0;
x->list_q_im = 0;
#ifdef HAVE_GSL_EIGEN_NONSYMM
x->a=0;
x->q=0;
x->l=0;
x->w=0;
x->wv=0;
#endif
return ((void *) x);
}
static void mTXEigBang (MTXEig *x)
{
if (x->list_l_re) {
switch (x->withevs) {
case WITHEVS:
outlet_anything(x->list_q_out_im, gensym("matrix"), x->size*x->size+2, x->list_q_im);
outlet_anything(x->list_q_out_re, gensym("matrix"), x->size*x->size+2, x->list_q_re);
case WITHOUTEVS:
outlet_anything(x->list_l_out_im, gensym("list"), x->size, x->list_l_im);
outlet_anything(x->list_l_out_re, gensym("list"), x->size, x->list_l_re);
}
}
}
static void mTXEigMatrix (MTXEig *x, t_symbol *s,
int argc, t_atom *argv)
{
int rows = atom_getint (argv++);
int columns = atom_getint (argv++);
int size = rows * columns;
int in_size = argc-2;
int n,m;
float f;
#ifdef HAVE_GSL_EIGEN_NONSYMM
gsl_complex c;
/* size check */
if (!size)
post("mtx_eig: invalid dimensions");
else if (in_size<size)
post("mtx_eig: sparse matrix not yet supported: use \"mtx_check\"");
else if (rows!=columns)
post("mtx_eig: Eigendecomposition works for square matrices only!");
else {
size=rows;
x->size=size;
deleteMTXqlw(x);
allocMTXqlw(x);
for (n=0;n<in_size;n++)
x->a->data[n]=(double) atom_getfloat(argv++);
switch (x->withevs) {
case WITHOUTEVS:
gsl_eigen_nonsymm(x->a,x->l,x->w);
break;
case WITHEVS:
gsl_eigen_nonsymmv(x->a,x->l,x->q,x->wv);
SETFLOAT((x->list_q_re),(float) x->size);
SETFLOAT((x->list_q_im),(float) x->size);
SETFLOAT((x->list_q_re+1),(float) x->size);
SETFLOAT((x->list_q_im+1),(float) x->size);
for (n=0;n<in_size;n++) {
SETFLOAT((x->list_q_im+2+n), (float) x->q->data[2*n+1]);
SETFLOAT((x->list_q_re+2+n), (float) x->q->data[2*n]);
}
break;
}
for (n=0;n<x->size;n++) {
f=(float) GSL_VECTOR_IMAG(x->l, n);
SETFLOAT((x->list_l_im+n), f);
f=(float) GSL_VECTOR_REAL(x->l, n);
SETFLOAT((x->list_l_re+n), f);
}
mTXEigBang(x);
}
#else
post("mtx_eig: implementation requires more recent gsl version to handle nonsymmetric matrices");
#endif
}
void mtx_eig_setup (void)
{
mtx_eig_class = class_new
(gensym("mtx_eig"),
(t_newmethod) newMTXEig,
(t_method) deleteMTXEig,
sizeof (MTXEig),
CLASS_DEFAULT, A_GIMME, 0);
class_addbang (mtx_eig_class, (t_method) mTXEigBang);
class_addmethod (mtx_eig_class, (t_method) mTXEigMatrix, gensym("matrix"), A_GIMME,0);
}
void iemtx_eig_setup(void){
mtx_eig_setup();
}
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