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+/*
+ * scrollgrid1D.c - 1D scroll grid attractor
+ * Copyright (c) 2000-2003 by Tom Schouten
+ *
+ * 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., 675 Mass Ave, Cambridge, MA 02139, USA.
+ */
+
+
+/* 1D scroll grid attractor
+ for more information see:
+
+ Yalcin M., Ozoguz S., Suykens J.A.K., Vandewalle J.,
+ ``Families of Scroll Grid Attractors'',
+ International Journal of Bifurcation and Chaos, vol. 12, no. 1, Jan. 2002, pp. 23-41.
+
+ this file implements a digital variant of the method introduced in the paper,
+ so that it can be used as a parametrizable, bounded chatotic oscillator.
+ in short it is a switched linear system, with some added hard limiting to
+ convert unstable oscillations into stable ones.
+
+*/
+
+#include "m_pd.h"
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include "filters.h"
+
+
+typedef struct scrollgrid1Dctl
+{
+ t_float c_x, c_y, c_z; /* state */
+
+} t_scrollgrid1Dctl;
+
+typedef struct scrollgrid1D
+{
+ t_object x_obj;
+ t_float x_f;
+ t_scrollgrid1Dctl x_ctl;
+} t_scrollgrid1D;
+
+
+static inline float _fixedpoint(float x, int n)
+{
+ int ix = (x + 0.5f);
+ if (ix < 0) ix = 0;
+ else if (ix >= n) ix = n-1;
+ return (float)ix;
+}
+
+static inline float _sat(float x, float upper)
+{
+ float lower = -1.0f;
+ if (x < lower) x = lower;
+ else if (x > upper) x = upper;
+ return x;
+}
+
+static t_int *scrollgrid1D_perform(t_int *w)
+{
+
+
+ t_float *freq = (float *)(w[3]);
+ t_float *t1 = (float *)(w[4]);
+ t_float *t2 = (float *)(w[5]);
+ t_float *order = (float *)(w[6]);
+ t_float *outx = (float *)(w[7]);
+ t_float *outy = (float *)(w[8]);
+ t_float *outz = (float *)(w[9]);
+ t_scrollgrid1Dctl *ctl = (t_scrollgrid1Dctl *)(w[1]);
+ t_int n = (t_int)(w[2]);
+
+ t_int i;
+ t_float inv_sr = 1.0f /sys_getsr();
+ t_float state[3] = {ctl->c_x, ctl->c_y, ctl->c_z};
+ t_float c,f;
+ t_float pole[2], r1, r2;
+ t_int o;
+ t_float x,y,z;
+
+
+ for (i=0; i<n; i++){
+
+ /* get params */
+ r1 = exp(1000.0f * inv_sr / (0.01f + fabs(*t1++)));
+ r2 = exp(-1000.0f * inv_sr / (0.01f + fabs(*t2++)));
+ f = *freq++;
+ o = (int)(*order++);
+ if (o < 2) o = 2;
+ pole[0] = r1 * cos(2.0f * M_PI * inv_sr * f);
+ pole[1] = r1 * sin(2.0f * M_PI * inv_sr * f);
+
+ /* debug */
+ //post("%f", r1);
+
+ /* base transform + clipping to prevent blowup */
+ x = _sat(0.5f * (state[0] - state[2]), (float)o); /* projection onto axis containing fixed */
+ y = _sat(0.5f * state[1], 1.0f); /* the "pure" oscillation axis */
+ z = _sat(0.5f * (state[0] + state[2]), 1.0f); /* orthogonal complement of x */
+
+ /* output */
+ *outx++ = x;
+ *outy++ = y;
+ *outz++ = z;
+
+
+ /* calculate fixed point location (c, 0, -c) */
+ c = _fixedpoint(x, o);
+
+ /* inverse base transform */
+ state[0] = x + z;
+ state[1] = 2.0f * y;
+ state[2] = -x + z;
+
+
+ /* update transformed linear system around unstable fixed point */
+ state[0] -= c;
+ state[2] += c;
+ vcmul2(state, pole);
+ state[2] *= r2;
+ state[0] += c;
+ state[2] -= c;
+
+ }
+
+
+
+ ctl->c_x = state[0];
+ ctl->c_y = state[1];
+ ctl->c_z = state[2];
+
+ return (w+10);
+}
+
+static void scrollgrid1D_dsp(t_scrollgrid1D *x, t_signal **sp)
+{
+ int n = sp[0]->s_n;
+ int k;
+
+
+ dsp_add(scrollgrid1D_perform,
+ 9,
+ &x->x_ctl,
+ sp[0]->s_n,
+ sp[0]->s_vec,
+ sp[1]->s_vec,
+ sp[2]->s_vec,
+ sp[3]->s_vec,
+ sp[4]->s_vec,
+ sp[5]->s_vec,
+ sp[6]->s_vec);
+
+
+}
+static void scrollgrid1D_free(t_scrollgrid1D *x)
+{
+
+
+}
+
+
+
+
+static void scrollgrid1D_reset(t_scrollgrid1D *x)
+{
+ x->x_ctl.c_x = 1;
+ x->x_ctl.c_y = 1;
+ x->x_ctl.c_z = 1;
+}
+
+
+t_class *scrollgrid1D_class;
+
+static void *scrollgrid1D_new(t_floatarg algotype)
+{
+ t_scrollgrid1D *x = (t_scrollgrid1D *)pd_new(scrollgrid1D_class);
+
+ /* ins */
+ inlet_new(&x->x_obj, &x->x_obj.ob_pd, gensym("signal"), gensym("signal"));
+ inlet_new(&x->x_obj, &x->x_obj.ob_pd, gensym("signal"), gensym("signal"));
+ inlet_new(&x->x_obj, &x->x_obj.ob_pd, gensym("signal"), gensym("signal"));
+
+ /* outs */
+ outlet_new(&x->x_obj, gensym("signal"));
+ outlet_new(&x->x_obj, gensym("signal"));
+ outlet_new(&x->x_obj, gensym("signal"));
+
+
+ /* init data */
+ scrollgrid1D_reset(x);
+
+ return (void *)x;
+}
+
+void scrollgrid1D_tilde_setup(void)
+{
+ //post("scrollgrid1D~ v0.1");
+ scrollgrid1D_class = class_new(gensym("scrollgrid1D~"), (t_newmethod)scrollgrid1D_new,
+ (t_method)scrollgrid1D_free, sizeof(t_scrollgrid1D), 0, A_DEFFLOAT, 0);
+ CLASS_MAINSIGNALIN(scrollgrid1D_class, t_scrollgrid1D, x_f);
+ class_addmethod(scrollgrid1D_class, (t_method)scrollgrid1D_dsp, gensym("dsp"), 0);
+ class_addmethod(scrollgrid1D_class, (t_method)scrollgrid1D_reset, gensym("reset"), 0);
+
+
+}
+