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//
//
// chaos~
// Copyright (C) 2005 Tim Blechmann
//
// 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; see the file COPYING. If not, write to
// the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
// Boston, MA 02111-1307, USA.
#include "chaos_base.hpp"
#define MAXDIMENSION 5
template <class system> class chaos_search
: public flext_base
{
FLEXT_HEADER(chaos_search, flext_base);
public:
/* local data for system, output and interpolation */
system m_system; /* the system */
data_t min[MAXDIMENSION]; /* minimal coordinates */
data_t max[MAXDIMENSION]; /* maximal coordinates */
data_t final[MAXDIMENSION]; /* initial coordinates for outlet */
data_t ly; /* lyapunov exponent */
int m_transient_steps; /* steps before starting the analysis */
int m_asymptotic_steps; /* steps for the analysis */
void get_tsteps(int &i)
{
i = m_transient_steps;
}
void set_tsteps(int i)
{
if (i > 0)
m_transient_steps = i;
else
m_transient_steps = 0;
}
void get_asteps(int &i)
{
i = m_asymptotic_steps;
}
void set_asteps(int &i)
{
if (i > 0)
m_asymptotic_steps = i;
else
m_asymptotic_steps = 0;
}
void print_results(void)
{
/* - send parameters to 1
- send initial coordinates to 2
- send minimal coordinates to 3
- send lyapunov exponent to 4
*/
for (std::map<const t_symbol*,int>::iterator it = m_system.attr_ind.begin();
it != m_system.attr_ind.end(); ++it)
{
post("key %s", it->first->s_name);
post("value %f", m_system.get_data(it->second));
}
}
void m_search();
FLEXT_CALLBACK(m_bang);
FLEXT_CALLVAR_I(get_tsteps, set_tsteps);
FLEXT_CALLVAR_I(get_asteps, set_asteps);
FLEXT_THREAD(m_search);
};
/* create constructor / destructor */
#define CHAOS_SEARCH_INIT(SYSTEM, ATTRIBUTES) \
FLEXT_HEADER(SYSTEM##_search, chaos_search<SYSTEM>) \
\
SYSTEM##_search(int argc, t_atom* argv ) \
{ \
int size = m_system.get_num_eq(); \
\
\
m_asymptotic_steps = 10000; \
m_transient_steps = 100; \
\
AddOutList("parameters"); \
AddOutList("initial coordinates"); \
AddOutList("minimal coordinates"); \
AddOutList("maximal coordinates"); \
AddOutFloat("lyapunov exponent"); \
\
FLEXT_ADDATTR_VAR("transient_steps", get_tsteps, set_tsteps); \
FLEXT_ADDATTR_VAR("steps", get_asteps, set_asteps); \
ATTRIBUTES; \
FLEXT_ADDMETHOD_(0,"search", m_search); \
} \
\
\
FLEXT_ATTRVAR_I(m_transient_steps); \
FLEXT_ATTRVAR_I(m_asymptotic_steps);
template <class system>
void chaos_search<system>::m_search()
{
int dimensions = m_system.get_num_eq();
ly = 0;
data_t diff_old = 0.1;
data_t last[MAXDIMENSION];
/* transient dynamics */
for (int i = 0; i != m_transient_steps; ++i)
{
m_system.m_step();
m_system.m_bash_denormals();
m_system.m_verify();
}
for (int i = 0; i != dimensions; ++i)
{
last[i] = min[i] = max[i] = m_system.m_data[i];
}
/* now we start the analysis */
for (int i = 0; i != m_asymptotic_steps; ++i)
{
m_system.m_step();
m_system.m_bash_denormals();
m_system.m_verify();
data_t diff = 0;
for (int j = 0; j != dimensions; ++j)
{
/* update min/max */
data_t datum = m_system.m_data[j];
if (datum > max[j])
max[j] = datum;
else if (datum < min[j])
min[j] = datum;
/* sum up diff */
diff += (last[j] - datum) * (last[j] - datum);
last[j] = datum;
}
diff = sqrt(diff);
if (diff < 0)
diff = -diff;
ly += log(diff / diff_old);
diff_old = diff;
/* todo: maybe some overflow checking */
if (diff == 0)
break;
}
ly /= m_asymptotic_steps;
print_results();
}
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