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/*
* iemmatrix
*
* objects for manipulating simple matrices
* mostly refering to matlab/octave matrix functions
*
* Copyright (c) IOhannes m zmölnig, forum::für::umläute
* 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"
/*
mtx_bspline:
this is only in the iemmatrix library since i have to make sure that there is an x-value
for each y-value; this however enforces that for each point we have to define a point
in all dimensions;
think: should we split this into 2 objects?
- one for calculating the coefficients of the polynomial function for the bspline
- another for calculating the value of a piecewise polyfuns
*/
static t_class *mtx_bspline_class;
typedef struct _mtx_spline
{
t_object x_obj;
t_outlet *x_outlet;
int x_numpoints;
int x_dimension;
t_matrixfloat x_min, x_max;
t_matrixfloat*x_x;
t_matrixfloat**x_y, **x_u, **x_p;
t_atom*x_result;
} t_mtx_spline;
static void mtx_bspline_resize(t_mtx_spline *x, int cols, int dim){
int size=x->x_numpoints*sizeof(t_matrixfloat);
int i=0;
if(x->x_x)freebytes(x->x_x, size); x->x_x=0;
for(i=0; i<x->x_dimension; i++){
if(x->x_y&&x->x_y[i])freebytes(x->x_y[i], size); x->x_y[i]=0;
if(x->x_u&&x->x_u[i])freebytes(x->x_u[i], size); x->x_u[i]=0;
if(x->x_p&&x->x_p[i])freebytes(x->x_p[i], size); x->x_p[i]=0;
}
if(x->x_y)freebytes(x->x_y, x->x_dimension*sizeof(t_matrixfloat*)); x->x_y=0;
if(x->x_u)freebytes(x->x_u, x->x_dimension*sizeof(t_matrixfloat*)); x->x_u=0;
if(x->x_p)freebytes(x->x_p, x->x_dimension*sizeof(t_matrixfloat*)); x->x_p=0;
if(x->x_result)freebytes(x->x_result, x->x_dimension*sizeof(t_atom)); x->x_p=0;
if(dim<1)dim=1;
if(cols<0)cols=0;
x->x_numpoints = cols;
x->x_dimension = dim;
if(cols>0){
size=x->x_numpoints*sizeof(t_matrixfloat);
x->x_x = (t_matrixfloat*)getbytes(size);
x->x_result = (t_atom*)getbytes(x->x_dimension*sizeof(t_atom));
x->x_y = (t_matrixfloat**)getbytes(dim*sizeof(t_matrixfloat*));
x->x_u = (t_matrixfloat**)getbytes(dim*sizeof(t_matrixfloat*));
x->x_p = (t_matrixfloat**)getbytes(dim*sizeof(t_matrixfloat*));
for(i=0; i<x->x_dimension; i++){
x->x_y[i] = (t_matrixfloat*)getbytes(size);
x->x_u[i] = (t_matrixfloat*)getbytes(size);
x->x_p[i] = (t_matrixfloat*)getbytes(size);
}
}
}
static void mtx_bspline_matrix2(t_mtx_spline *X, t_symbol *s, int argc, t_atom *argv)
{
int row=0;
int col=0;
t_matrixfloat *x, **y, **u, **p, *w, *d, *fp;
t_matrixfloat*dummy;
int i,j;
int N;
if (argc<2){ error("mtx_bspline: crippled matrix"); return; }
row=atom_getfloat(argv);
col=atom_getfloat(argv+1);
if ((col<2)||(row<3)) { error("mtx_bspline: invalid dimensions"); return; }
if (col*row>argc-2){ error("sparse matrix not yet supported : use \"mtx_check\""); return; }
col--;
mtx_bspline_resize(X, row, col);
/* 1st fill the matrix into the arrays */
fp=matrix2float(argv);
dummy=fp;
x=X->x_x;
y=X->x_y;
u=X->x_u;
p=X->x_p;
for(i=0; i<row; i++){
x[i]=*dummy++;
for(j=0; j<col; j++){
y[j][i]=*dummy++;
}
}
X->x_min=x[0];
X->x_max=x[row-1];
w=(t_matrixfloat*)getbytes(X->x_numpoints*sizeof(t_matrixfloat));
d=(t_matrixfloat*)getbytes(X->x_numpoints*sizeof(t_matrixfloat));
N=row-1;
for(j=0; j<col;j++){
d[0]=0.0; d[1]=0.0;
for(i=1; i<N; i++)
d[i] = 2*(x[i+1]-x[i-1]);
for(i=0; i<N; i++)
u[j][i] = x[i+1]-x[i];
for(i=1; i<N; i++)
w[i]=6.0*((y[j][i+1]-y[j][i])/u[j][i]
-(y[j][i]-y[j][i-1])/u[j][i-1]);
/* now solve this tridiagonal matrix */
for(i=1; i<N-1; i++)
{
w[i+1] -= w[i]*u[j][i]/d[i];
d[i+1] -= u[j][i]*u[j][i]/d[i];
}
for(i=0; i<N; i++)p[j][i]=0.0;
for(i=N-1; i>0; i--)
p[j][i] = (w[i]-u[j][i]*p[j][i+1])/d[i];
}
}
static void mtx_bspline_list(t_mtx_spline *x, t_symbol *s, int argc, t_atom *argv)
{
/* this should output a matrix, one row for each element of this list */
}
static void mtx_bspline_float(t_mtx_spline *X, t_float f)
{
int i=0, j=0;
int dim=X->x_dimension;
t_matrixfloat *x=X->x_x, **y=X->x_y, **u=X->x_u, **p=X->x_p;
t_atom*result=X->x_result;
if(dim<1){
outlet_float(X->x_outlet, 0.f);
return;
}
if(f<X->x_min)f=X->x_min;
if(f>X->x_max)f=X->x_max;
while(f>x[i+1])i++;
for(j=0; j<dim; j++){
t_matrixfloat uji=u[j][i];
t_matrixfloat t=(f-x[i])/uji;
t_matrixfloat t3=t*t*t-t;
t_matrixfloat t3i=(1-t)*(1-t)*(1-t)-(1-t);
t_float ret=(t_float)(t*y[j][i+1]+(1-t)*y[j][i]+uji*uji*(p[j][i+1]*t3+p[j][i]*t3i)/6.0);
SETFLOAT(result+j, ret);
}
outlet_list(X->x_outlet, 0, dim, result);
}
static void mtx_bspline_free(t_mtx_spline *x)
{
mtx_bspline_resize(x, 0, 0);
}
static void *mtx_bspline_new(void)
{
t_mtx_spline *x = (t_mtx_spline *)pd_new(mtx_bspline_class);
inlet_new(&x->x_obj, &x->x_obj.ob_pd, gensym("matrix"), gensym(""));
x->x_numpoints=0;
x->x_dimension=0;
x->x_min=0.0;
x->x_max=0.0;
x->x_x=0;
x->x_y=x->x_u=x->x_p=0;
x->x_result=0;
x->x_outlet=outlet_new(&x->x_obj, 0);
return(x);
}
void mtx_bspline_setup(void)
{
mtx_bspline_class = class_new(gensym("mtx_bspline"), (t_newmethod)mtx_bspline_new, (t_method)mtx_bspline_free,
sizeof(t_mtx_spline), 0, A_NULL);
/* class_addmethod(mtx_bspline_class, (t_method)mtx_bspline_matrix, gensym("list"), A_GIMME, 0); */
class_addmethod(mtx_bspline_class, (t_method)mtx_bspline_matrix2, gensym(""), A_GIMME, 0);
class_addfloat (mtx_bspline_class, mtx_bspline_float);
}
void iemtx_bspline_setup(void)
{
mtx_bspline_setup();
}
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