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arts/flow/gsl/gsltests.c

651 lines
20 KiB

/* GSL - Generic Sound Layer
* Copyright (C) 2001-2002 Tim Janik and Stefan Westerfeld
*
* This program is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser 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
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General
* Public License along with this program; if not, write to the
* Free Software Foundation, Inc., 59 Temple Place, Suite 330,
* Boston, MA 02111-1307, USA.
*/
#include <gsl/gslmath.h>
#include <gsl/gslcommon.h>
#include <gsl/gslmath.h>
#include <gsl/gslfilter.h>
#include <gsl/gslloader.h>
#include <stdlib.h>
#include <string.h>
#define PREC "15"
static void usage (void) G_GNUC_NORETURN;
static guint shift_argc = 0;
static const gchar **shift_argv = NULL;
static const gchar*
shift (void)
{
const gchar *arg;
if (shift_argc > 1)
{
shift_argc--;
arg = shift_argv++[1];
if (!arg)
arg = "";
}
else
arg = NULL;
return arg;
}
static const gchar*
pshift (void)
{
const gchar *arg = shift ();
return arg ? arg : "";
}
int
main (int argc,
char *argv[])
{
const gchar *arg;
/* iir filter parameters */
enum { FILTER_GNUPLOT, FILTER_SCAN } filter_mode = FILTER_GNUPLOT;
const gchar *filter_label = 0;
gdouble *a, *b;
guint order = 0;
shift_argc = argc;
shift_argv = (gchar **)argv;
if (!g_thread_supported ())
g_thread_init (NULL);
gsl_init (NULL, NULL);
arg = shift ();
if (!arg)
usage ();
restart:
a = b = 0;
if (strcmp (arg, "wave-scan") == 0)
{
const gchar *file = pshift ();
while (file)
{
GslWaveFileInfo *fi;
GslErrorType error;
fi = gsl_wave_file_info_load (file, &error);
if (fi)
{
guint i;
g_print ("Loader \"%s\" found %u waves in \"%s\":\n", fi->loader->name, fi->n_waves, file);
for (i = 0; i < fi->n_waves; i++)
g_print ("%u) %s\n", i + 1, fi->waves[i].name);
gsl_wave_file_info_unref (fi);
}
else
g_print ("Failed to scan \"%s\": %s\n", file, gsl_strerror (error));
file = pshift ();
if (!file[0])
break;
}
}
else if (strcmp (arg, "file-test") == 0)
{
const gchar *file = pshift ();
g_print ("file test for \"%s\":\n", file);
g_print (" is readable : %s\n", gsl_strerror (gsl_check_file (file, "r")));
g_print (" is writable : %s\n", gsl_strerror (gsl_check_file (file, "w")));
g_print (" is executable : %s\n", gsl_strerror (gsl_check_file (file, "x")));
g_print (" is file : %s\n", gsl_strerror (gsl_check_file (file, "f")));
g_print (" is directory : %s\n", gsl_strerror (gsl_check_file (file, "d")));
g_print (" is link : %s\n", gsl_strerror (gsl_check_file (file, "l")));
}
else if (strcmp (arg, "rf") == 0)
{
double x, y, z;
x = atof (pshift ());
y = atof (pshift ());
z = atof (pshift ());
g_print ("rf(%f, %f, %f) = %."PREC"f\n", x, y, z, gsl_ellip_rf (x, y, z));
}
else if (strcmp (arg, "F") == 0)
{
double phi, ak;
phi = atof (pshift ());
ak = atof (pshift ());
g_print ("F(%f, %f) = %."PREC"f\n", phi, ak, gsl_ellip_F (phi, ak));
}
else if (strcmp (arg, "sn") == 0)
{
double u, emmc;
u = atof (pshift ());
emmc = atof (pshift ());
g_print ("sn(%f, %f) = %."PREC"f\n", u, emmc, gsl_ellip_sn (u, emmc));
}
else if (strcmp (arg, "snc") == 0)
{
GslComplex u, emmc;
u.re = atof (pshift ());
u.im = atof (pshift ());
emmc.re = atof (pshift ());
emmc.im = atof (pshift ());
g_print ("snc(%s, %s) = %s\n",
gsl_complex_str (u),
gsl_complex_str (emmc),
gsl_complex_str (gsl_complex_ellip_sn (u, emmc)));
}
else if (strcmp (arg, "sci_snc") == 0)
{
GslComplex u, k2;
u.re = atof (pshift ());
u.im = atof (pshift ());
k2.re = atof (pshift ());
k2.im = atof (pshift ());
g_print ("sci_snc(%s, %s) = %s\n",
gsl_complex_str (u),
gsl_complex_str (k2),
gsl_complex_str (gsl_complex_ellip_sn (u, gsl_complex_sub (gsl_complex (1.0, 0), k2))));
}
else if (strcmp (arg, "asn") == 0)
{
double y, emmc;
y = atof (pshift ());
emmc = atof (pshift ());
g_print ("asn(%f, %f) = %."PREC"f\n", y, emmc, gsl_ellip_asn (y, emmc));
}
else if (strcmp (arg, "asnc") == 0)
{
GslComplex y, emmc;
y.re = atof (pshift ());
y.im = atof (pshift ());
emmc.re = atof (pshift ());
emmc.im = atof (pshift ());
g_print ("asnc(%s, %s) = %s\n",
gsl_complex_str (y), gsl_complex_str (emmc),
gsl_complex_str (gsl_complex_ellip_asn (y, emmc)));
g_print ("asn(%f, %f = %."PREC"f\n",
y.re, emmc.re, gsl_ellip_asn (y.re, emmc.re));
}
else if (strcmp (arg, "sci_sn") == 0)
{
double u, k2;
u = atof (pshift ());
k2 = atof (pshift ());
g_print ("sci_sn(%f, %f) = %."PREC"f\n", u, k2, gsl_ellip_sn (u, 1.0 - k2));
}
else if (strcmp (arg, "sci_asn") == 0)
{
double y, k2;
y = atof (pshift ());
k2 = atof (pshift ());
g_print ("sci_asn(%f, %f) = %."PREC"f\n", y, k2, gsl_ellip_asn (y, 1.0 - k2));
}
else if (strcmp (arg, "sci_asnc") == 0)
{
GslComplex y, k2;
y.re = atof (pshift ());
y.im = atof (pshift ());
k2.re = atof (pshift ());
k2.im = atof (pshift ());
g_print ("sci_asnc(%s, %s) = %s\n",
gsl_complex_str (y), gsl_complex_str (k2),
gsl_complex_str (gsl_complex_ellip_asn (y, gsl_complex_sub (gsl_complex (1.0, 0), k2))));
g_print ("asn(%f, %f = %."PREC"f\n",
y.re, k2.re, gsl_ellip_asn (y.re, 1.0 - k2.re));
}
else if (strcmp (arg, "sin") == 0)
{
GslComplex phi;
phi.re = atof (pshift ());
phi.im = atof (pshift ());
g_print ("sin(%s) = %s\n",
gsl_complex_str (phi),
gsl_complex_str (gsl_complex_sin (phi)));
}
else if (strcmp (arg, "cos") == 0)
{
GslComplex phi;
phi.re = atof (pshift ());
phi.im = atof (pshift ());
g_print ("cos(%s) = %s\n",
gsl_complex_str (phi),
gsl_complex_str (gsl_complex_cos (phi)));
}
else if (strcmp (arg, "tan") == 0)
{
GslComplex phi;
phi.re = atof (pshift ());
phi.im = atof (pshift ());
g_print ("tan(%s) = %s\n",
gsl_complex_str (phi),
gsl_complex_str (gsl_complex_tan (phi)));
}
else if (strcmp (arg, "sinh") == 0)
{
GslComplex phi;
phi.re = atof (pshift ());
phi.im = atof (pshift ());
g_print ("sinh(%s) = %s\n",
gsl_complex_str (phi),
gsl_complex_str (gsl_complex_sinh (phi)));
}
else if (strcmp (arg, "cosh") == 0)
{
GslComplex phi;
phi.re = atof (pshift ());
phi.im = atof (pshift ());
g_print ("cosh(%s) = %s\n",
gsl_complex_str (phi),
gsl_complex_str (gsl_complex_cosh (phi)));
}
else if (strcmp (arg, "tanh") == 0)
{
GslComplex phi;
phi.re = atof (pshift ());
phi.im = atof (pshift ());
g_print ("tanh(%s) = %s\n",
gsl_complex_str (phi),
gsl_complex_str (gsl_complex_tanh (phi)));
}
else if (strcmp (arg, "midi2freq") == 0)
{
gint note;
note = atol (pshift ());
note = CLAMP (note, 0, 128);
g_print ("midi2freq(%u) = %f\n",
note,
gsl_temp_freq (gsl_get_config ()->kammer_freq,
note - gsl_get_config ()->midi_kammer_note));
}
else if (strcmp (arg, "blp") == 0)
{
double f, e;
order = atoi (pshift ()); order = MAX (order, 1);
f = atof (pshift ());
e = atof (pshift ());
f *= GSL_PI / 2.;
a = g_new (gdouble, order + 1);
b = g_new (gdouble, order + 1);
gsl_filter_butter_lp (order, f, e, a, b);
g_print ("# Lowpass Butterworth filter order=%u freq=%f epsilon(s^2)=%f norm0=%f:\n",
order, f, e,
gsl_poly_eval (order, a, 1) / gsl_poly_eval (order, b, 1));
filter_label = "BL";
}
else if (strcmp (arg, "bhp") == 0)
{
double f, e;
order = atoi (pshift ()); order = MAX (order, 1);
f = atof (pshift ());
e = atof (pshift ());
f *= GSL_PI / 2.;
a = g_new (gdouble, order + 1);
b = g_new (gdouble, order + 1);
gsl_filter_butter_hp (order, f, e, a, b);
g_print ("# Highpass Butterworth filter order=%u freq=%f epsilon(s^2)=%f norm0=%f:\n",
order, f, e,
gsl_poly_eval (order, a, 1) / gsl_poly_eval (order, b, 1));
filter_label = "BH";
}
else if (strcmp (arg, "bbp") == 0)
{
double f1, f2, e;
order = atoi (pshift ()); order = MAX (order, 1);
f1 = atof (pshift ());
f2 = atof (pshift ());
e = atof (pshift ());
f1 *= GSL_PI / 2.;
f2 *= GSL_PI / 2.;
a = g_new (gdouble, order + 1);
b = g_new (gdouble, order + 1);
gsl_filter_butter_bp (order, f1, f2, e, a, b);
g_print ("# Bandpass Butterworth filter order=%u freq1=%f freq2=%f epsilon(s^2)=%f norm0=%f:\n",
order, f1, f2, e,
gsl_poly_eval (order, a, 1) / gsl_poly_eval (order, b, 1));
filter_label = "BP";
}
else if (strcmp (arg, "bbs") == 0)
{
double f1, f2, e;
order = atoi (pshift ()); order = MAX (order, 1);
f1 = atof (pshift ());
f2 = atof (pshift ());
e = atof (pshift ());
f1 *= GSL_PI / 2.;
f2 *= GSL_PI / 2.;
a = g_new (gdouble, order + 1);
b = g_new (gdouble, order + 1);
gsl_filter_butter_bs (order, f1, f2, e, a, b);
g_print ("# Bandstop Butterworth filter order=%u freq1=%f freq2=%f epsilon(s^2)=%f norm0=%f:\n",
order, f1, f2, e,
gsl_poly_eval (order, a, 1) / gsl_poly_eval (order, b, 1));
filter_label = "BS";
}
else if (strcmp (arg, "t1l") == 0)
{
double f, e;
order = atoi (pshift ()); order = MAX (order, 1);
f = atof (pshift ());
e = atof (pshift ());
f *= GSL_PI / 2.;
a = g_new (gdouble, order + 1);
b = g_new (gdouble, order + 1);
gsl_filter_tscheb1_lp (order, f, e, a, b);
g_print ("# Lowpass Tschebyscheff Type1 order=%u freq=%f epsilon(s^2)=%f norm0=%f:\n",
order, f, e,
gsl_poly_eval (order, a, 1) / gsl_poly_eval (order, b, 1));
filter_label = "T1L";
}
else if (strcmp (arg, "t1h") == 0)
{
double f, e;
order = atoi (pshift ()); order = MAX (order, 1);
f = atof (pshift ());
e = atof (pshift ());
f *= GSL_PI / 2.;
a = g_new (gdouble, order + 1);
b = g_new (gdouble, order + 1);
gsl_filter_tscheb1_hp (order, f, e, a, b);
g_print ("# Highpass Tschebyscheff Type1 order=%u freq=%f epsilon(s^2)=%f norm0=%f:\n",
order, f, e,
gsl_poly_eval (order, a, 1) / gsl_poly_eval (order, b, 1));
filter_label = "T1H";
}
else if (strcmp (arg, "t1s") == 0)
{
double fc, fr, e;
order = atoi (pshift ()); order = MAX (order, 1);
fc = atof (pshift ());
fr = atof (pshift ());
e = atof (pshift ());
fc *= GSL_PI / 2.;
fr *= GSL_PI / 2.;
a = g_new (gdouble, order + 1);
b = g_new (gdouble, order + 1);
gsl_filter_tscheb1_bs (order, fc, fr, e, a, b);
g_print ("# Bandstop Tschebyscheff Type1 order=%u freq_c=%f freq_r=%f epsilon(s^2)=%f norm=%f:\n",
order, fc, fr, e,
gsl_poly_eval (order, a, 1) / gsl_poly_eval (order, b, 1));
filter_label = "T1S";
}
else if (strcmp (arg, "t1p") == 0)
{
double fc, fr, e;
order = atoi (pshift ()); order = MAX (order, 1);
fc = atof (pshift ());
fr = atof (pshift ());
e = atof (pshift ());
fc *= GSL_PI / 2.;
fr *= GSL_PI / 2.;
a = g_new (gdouble, order + 1);
b = g_new (gdouble, order + 1);
gsl_filter_tscheb1_bp (order, fc, fr, e, a, b);
g_print ("# Bandpass Tschebyscheff Type1 order=%u freq_c=%f freq_r=%f epsilon(s^2)=%f norm=%f:\n",
order, fc, fr, e,
gsl_poly_eval (order, a, 1) / gsl_poly_eval (order, b, 1));
filter_label = "T1P";
}
else if (strcmp (arg, "t2l") == 0)
{
double f, st, e;
order = atoi (pshift ()); order = MAX (order, 1);
f = atof (pshift ());
st = atof (pshift ());
e = atof (pshift ());
f *= GSL_PI / 2.;
a = g_new (gdouble, order + 1);
b = g_new (gdouble, order + 1);
gsl_filter_tscheb2_lp (order, f, st, e, a, b);
g_print ("# Lowpass Tschebyscheff Type2 order=%u freq=%f steepness=%f (%f) epsilon(s^2)=%f norm=%f:\n",
order, f, st, f * (1.+st), e,
gsl_poly_eval (order, a, 1) / gsl_poly_eval (order, b, 1));
filter_label = "T2L";
}
else if (strcmp (arg, "t2h") == 0)
{
double f, st, e;
order = atoi (pshift ()); order = MAX (order, 1);
f = atof (pshift ());
st = atof (pshift ());
e = atof (pshift ());
f *= GSL_PI / 2.;
a = g_new (gdouble, order + 1);
b = g_new (gdouble, order + 1);
gsl_filter_tscheb2_hp (order, f, st, e, a, b);
g_print ("# Highpass Tschebyscheff Type2 order=%u freq=%f steepness=%f (%f, %f) epsilon(s^2)=%f norm=%f:\n",
order, f, st, GSL_PI - f, (GSL_PI - f) * (1.+st), e,
gsl_poly_eval (order, a, 1) / gsl_poly_eval (order, b, 1));
filter_label = "T2H";
}
else if (strcmp (arg, "t2p") == 0)
{
double f1, f2, st, e;
order = atoi (pshift ()); order = MAX (order, 1);
f1 = atof (pshift ());
f2 = atof (pshift ());
st = atof (pshift ());
e = atof (pshift ());
f1 *= GSL_PI / 2.;
f2 *= GSL_PI / 2.;
a = g_new (gdouble, order + 1);
b = g_new (gdouble, order + 1);
gsl_filter_tscheb2_bp (order, f1, f2, st, e, a, b);
g_print ("# Bandpass Tschebyscheff Type2 order=%u freq1=%f freq2=%f steepness=%f epsilon(s^2)=%f norm=%f:\n",
order, f1, f2, st, e,
gsl_poly_eval (order, a, 1) / gsl_poly_eval (order, b, 1));
filter_label = "T2P";
}
else if (strcmp (arg, "t2s") == 0)
{
double f1, f2, st, e;
order = atoi (pshift ()); order = MAX (order, 1);
f1 = atof (pshift ());
f2 = atof (pshift ());
st = atof (pshift ());
e = atof (pshift ());
f1 *= GSL_PI / 2.;
f2 *= GSL_PI / 2.;
a = g_new (gdouble, order + 1);
b = g_new (gdouble, order + 1);
gsl_filter_tscheb2_bs (order, f1, f2, st, e, a, b);
g_print ("# Bandstop Tschebyscheff Type2 order=%u freq1=%f freq2=%f steepness=%f epsilon(s^2)=%f norm=%f:\n",
order, f1, f2, st, e,
gsl_poly_eval (order, a, 1) / gsl_poly_eval (order, b, 1));
filter_label = "T2S";
}
else if (strcmp (arg, "scan") == 0)
{
filter_mode = FILTER_SCAN;
}
else if (strcmp (arg, "fir") == 0)
{
unsigned int iorder = atoi (pshift ());
unsigned int n_points = 0;
double *freq = g_newa (double, argc / 2 + 1);
double *value = g_newa (double, argc / 2 + 1);
double *a = g_newa (double, iorder);
const char *f, *v;
do
{
f = pshift ();
v = pshift ();
if (f[0] && v[0])
{
freq[n_points] = atof (f) * GSL_PI;
value[n_points] = atof (v);
n_points++;
}
}
while (f[0] && v[0]);
gsl_filter_fir_approx (iorder, a, n_points, freq, value);
g_print ("FIR%u(z)=%s\n", iorder, gsl_poly_str (iorder, a, "z"));
}
else if (strncmp (arg, "poly", 4) == 0)
{
guint order;
arg = arg + 4;
order = 2;
{
double a[100] = { 1, 2, 1 }, b[100] = { 1, -3./2., 0.5 };
g_print ("# Test order=%u norm=%f:\n",
order,
gsl_poly_eval (order, a, 1) / gsl_poly_eval (order, b, 1));
g_print ("H%u(z)=%s/%s\n", order,
gsl_poly_str (order, a, "z"),
gsl_poly_str (order, b, "z"));
if (*arg)
{
GslComplex root, roots[100];
guint i;
if (*arg == 'r')
{
g_print ("#roots:\n");
gsl_poly_complex_roots (order, a, roots);
for (i = 0; i < order; i++)
{
root = gsl_complex_div (gsl_complex (1, 0), roots[i]);
g_print ("%+.14f %+.14f # %.14f\n", root.re, root.im, gsl_complex_abs (root));
}
}
if (*arg == 'p')
{
g_print ("#poles:\n");
gsl_poly_complex_roots (order, b, roots);
for (i = 0; i < order; i++)
{
root = gsl_complex_div (gsl_complex (1, 0), roots[i]);
g_print ("%+.14f %+.14f # %.14f\n", root.re, root.im, gsl_complex_abs (root));
}
}
}
}
}
else
usage ();
if (a && b)
{
gdouble freq;
if (filter_mode == FILTER_SCAN)
{
freq = 0.001;
while (freq < 3.14)
{
g_print ("%f %.20f\n", freq, gsl_filter_sine_scan (order, a, b, freq, MAX((int)(1000.0/freq),10000)));
freq = MIN (freq * 1.1, freq + 0.01);
}
}
else if (filter_mode == FILTER_GNUPLOT)
{
g_print ("%s%u(z)=%s/%s\n", filter_label, order,
gsl_poly_str (order, a, "z"),
gsl_poly_str (order, b, "z"));
}
else
g_error ("unknown filter_mode");
g_free (a);
g_free (b);
}
arg = shift ();
if (arg)
goto restart;
return 0;
}
static void
usage (void)
{
g_print ("usage: gsltests {test} [args...]\n");
g_print ("tests:\n");
g_print (" wave-scan <file> scan a wave file for waves\n");
g_print (" file-test <file> test file properties\n");
g_print (" rf <x> <y> <z> Carlson's elliptic integral of the first kind\n");
g_print (" F <phi> <ak> Legendre elliptic integral of the 1st kind\n");
g_print (" sn <u> <emmc> Jacobian elliptic function sn()\n");
g_print (" asn <y> <emmc> elliptic integral, inverse sn()\n");
g_print (" sin <phi.re> <phi.im> complex sine\n");
g_print (" cos <phi.re> <phi.im> complex cosine\n");
g_print (" tan <phi.re> <phi.im> complex tangent\n");
g_print (" sinh <phi.re> <phi.im> complex hyperbolic sine\n");
g_print (" cosh <phi.re> <phi.im> complex hyperbolic cosine\n");
g_print (" tanh <phi.re> <phi.im> complex hyperbolic tangent\n");
g_print (" midi2freq <midinote> convert midinote into oscilaltor frequency\n");
g_print (" snc <u.re> <u.im> <emmc.re> <emmc.im> sn() for complex numbers\n");
g_print (" asnc <y.re> <y.im> <emmc.re> <emmc.im> asn() for complex numbers\n");
g_print (" sci_sn <u> <k2> scilab version of sn()\n");
g_print (" sci_asn <y> <k2> scilab version of asn()\n");
g_print (" sci_snc <u.re> <u.im> <k2.re> <k2.im> scilab version of snc()\n");
g_print (" sci_asnc <y.re> <y.im> <k2.re> <k2.im> scilab version of asnc()\n");
g_print (" blp <order> <freq> <epsilon> butterworth lowpass filter\n");
g_print (" bhp <order> <freq> <epsilon> butterworth higpass filter\n");
g_print (" bbp <order> <freqc> <freqr> <epsilon> butterworth bandpass filter\n");
g_print (" t1l <order> <freq> <epsilon> type1 tschebyscheff lowpass filter\n");
g_print (" t1h <order> <freq> <epsilon> type1 tschebyscheff highpass filter\n");
g_print (" t1s <order> <freqc> <freqr> <epsilon> type1 tschebyscheff bandstop filter\n");
g_print (" t1p <order> <freqc> <freqr> <epsilon> type1 tschebyscheff bandpass filter\n");
g_print (" t2l <order> <freqc> <steepn> <epsilon> type2 tschebyscheff lowpass filter\n");
g_print (" t2h <order> <freqc> <steepn> <epsilon> type2 tschebyscheff highpass filter\n");
g_print (" fir <order> <freq1> <value1> ... fir approximation\n");
g_print (" scan blp <order> <freq> <epsilon> scan butterworth lowpass filter\n");
g_print (" poly | polyr | polyp polynom test (+roots or +poles)\n");
exit (1);
}
/* vim:set ts=8 sts=2 sw=2: */