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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_linalg.h>
#endif
static t_class *mtx_qr_class;
typedef struct _MTXQr_ MTXQr;
struct _MTXQr_
{
t_object x_obj;
#ifdef HAVE_LIBGSL
gsl_matrix *a;
gsl_vector *tau;
#endif
t_outlet *list_q_out;
t_outlet *list_r_out;
t_atom *list_q;
t_atom *list_r;
int rows;
int columns;
};
#ifdef HAVE_LIBGSL
static void allocMTXqr (MTXQr *x)
{
x->a=(gsl_matrix*)gsl_matrix_alloc(x->rows,x->columns);
x->tau=(gsl_vector*)gsl_vector_alloc(
((x->columns<x->rows)?x->columns:x->rows));
x->list_q=(t_atom*)calloc(sizeof(t_atom),x->rows*x->rows+2);
x->list_r=(t_atom*)calloc(sizeof(t_atom),x->rows*x->columns+2);
}
static void deleteMTXqr (MTXQr *x)
{
if (x->list_q!=0)
free(x->list_q);
if (x->list_r!=0)
free(x->list_r);
x->list_q = x->list_r = 0;
if (x->a!=0)
gsl_matrix_free(x->a);
if (x->tau!=0)
gsl_vector_free(x->tau);
x->a = 0;
x->tau = 0;
}
#endif
static void deleteMTXQr (MTXQr *x)
{
#ifdef HAVE_LIBGSL
deleteMTXqr(x);
#endif
}
static void *newMTXQr (t_symbol *s, int argc, t_atom *argv)
{
MTXQr *x = (MTXQr *) pd_new (mtx_qr_class);
x->list_q_out = outlet_new (&x->x_obj, gensym("matrix"));
x->list_r_out = outlet_new (&x->x_obj, gensym("matrix"));
x->list_q = 0;
x->list_r = 0;
#ifdef HAVE_LIBGSL
x->a=0;
x->tau=0;
#endif
return ((void *) x);
}
static void mTXQrBang (MTXQr *x)
{
if (x->list_q) {
outlet_anything(x->list_r_out, gensym("matrix"), x->rows*x->columns+2, x->list_r);
post("mtx_qr: implementation outputs only R currently! Q has to be implemented...");
// outlet_anything(x->list_q_out, gensym("matrix"), x->rows*x->rows+2, x->list_q);
}
}
static void mTXQrMatrix (MTXQr *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 m,n;
#ifdef HAVE_LIBGSL
/* size check */
if (!size)
post("mtx_qr: invalid dimensions");
else if (in_size<size)
post("mtx_qr: sparse matrix not yet supported: use \"mtx_check\"");
else {
x->rows=rows;
x->columns=columns;
deleteMTXqr(x);
allocMTXqr(x);
for (n=0;n<in_size;n++)
x->a->data[n]=(double) atom_getfloat(argv++);
gsl_linalg_QR_decomp(x->a,x->tau);
SETFLOAT((x->list_r),(float) x->rows);
SETFLOAT((x->list_r+1),(float) x->columns);
for (n=0,in_size=0;n<x->rows;n++) {
for (m=0;m<n;m++) {
SETFLOAT((x->list_r+2+in_size), 0);
in_size++;
}
for (;m<x->columns;m++) {
SETFLOAT((x->list_r+2+in_size), (float) x->a->data[in_size]);
in_size++;
}
}
SETFLOAT((x->list_q),(float) x->rows);
SETFLOAT((x->list_q+1),(float) x->rows);
// TODO: Housholder transformations have to be decoded from
//
// x->tau and lower triangular part of x->a.
//
// with L=min(rows,columns)
//
// Matrix multiplications have to be done:
//
// Q=QL QL-1 ... Q1
//
// using the matrix factors
//
// Qi = I - tau[i] vi^T vi
//
// employing the dyadic vector product of
//
// [ 0 ]
// [ : ]
// [ 0 ]
// vi=[A[i+1,i]]
// [A[i+1,i]]
// [ : ]
// [ A[L,i] ]
//
// on itself (out of x->a),
// and the scalar tau[i] in the vector x->tau.
mTXQrBang(x);
}
#else
post("mtx_qr: implementation requires gsl");
#endif
}
void mtx_qr_setup (void)
{
mtx_qr_class = class_new
(gensym("mtx_qr"),
(t_newmethod) newMTXQr,
(t_method) deleteMTXQr,
sizeof (MTXQr),
CLASS_DEFAULT, A_GIMME, 0);
class_addbang (mtx_qr_class, (t_method) mTXQrBang);
class_addmethod (mtx_qr_class, (t_method) mTXQrMatrix, gensym("matrix"), A_GIMME,0);
}
void iemtx_qr_setup(void){
mtx_qr_setup();
}
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