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/* Copyright (c) 1997-2001 Miller Puckette and others.
* For information on usage and redistribution, and for a DISCLAIMER OF ALL
* WARRANTIES, see the file, "LICENSE.txt," in this distribution. */
/* mathematical functions and other transfer functions, including tilde
versions of stuff from x_acoustics.c.
*/
#include "m_pd.h"
#include <math.h>
#define LOGTEN 2.302585092994
/* ------------------------- clip~ -------------------------- */
static t_class *clip_class;
typedef struct _clip
{
t_object x_obj;
t_float x_f;
t_float x_lo;
t_float x_hi;
} t_clip;
static void *clip_new(t_floatarg lo, t_floatarg hi)
{
t_clip *x = (t_clip *)pd_new(clip_class);
x->x_lo = lo;
x->x_hi = hi;
outlet_new(&x->x_obj, gensym("signal"));
floatinlet_new(&x->x_obj, &x->x_lo);
floatinlet_new(&x->x_obj, &x->x_hi);
x->x_f = 0;
return (x);
}
static t_int *clip_perform(t_int *w)
{
t_clip *x = (t_clip *)(w[1]);
t_sample *in = (t_sample *)(w[2]);
t_sample *out = (t_sample *)(w[3]);
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if (f < x->x_lo) f = x->x_lo;
if (f > x->x_hi) f = x->x_hi;
*out++ = f;
}
return (w+5);
}
static void clip_dsp(t_clip *x, t_signal **sp)
{
dsp_add(clip_perform, 4, x, sp[0]->s_vec, sp[1]->s_vec, sp[0]->s_n);
}
static void clip_setup(void)
{
clip_class = class_new(gensym("clip~"), (t_newmethod)clip_new, 0,
sizeof(t_clip), 0, A_DEFFLOAT, A_DEFFLOAT, 0);
CLASS_MAINSIGNALIN(clip_class, t_clip, x_f);
class_addmethod(clip_class, (t_method)clip_dsp, gensym("dsp"), 0);
}
/* sigrsqrt - reciprocal square root good to 8 mantissa bits */
#define DUMTAB1SIZE 256
#define DUMTAB2SIZE 1024
#ifdef MSW
#define int32 long
#endif
#if defined(__unix__) || defined(__APPLE__)
#include <sys/types.h>
#define int32 int32_t
#endif
static float rsqrt_exptab[DUMTAB1SIZE], rsqrt_mantissatab[DUMTAB2SIZE];
static void init_rsqrt(void)
{
int i;
for (i = 0; i < DUMTAB1SIZE; i++)
{
float f;
int32 l = (i ? (i == DUMTAB1SIZE-1 ? DUMTAB1SIZE-2 : i) : 1)<< 23;
*(int32 *)(&f) = l;
rsqrt_exptab[i] = 1./sqrt(f);
}
for (i = 0; i < DUMTAB2SIZE; i++)
{
float f = 1 + (1./DUMTAB2SIZE) * i;
rsqrt_mantissatab[i] = 1./sqrt(f);
}
}
/* these are used in externs like "bonk" */
t_float q8_rsqrt(t_float f)
{
long l = *(long *)(&f);
if (f < 0) return (0);
else return (rsqrt_exptab[(l >> 23) & 0xff] *
rsqrt_mantissatab[(l >> 13) & 0x3ff]);
}
t_float q8_sqrt(t_float f)
{
long l = *(long *)(&f);
if (f < 0) return (0);
else return (f * rsqrt_exptab[(l >> 23) & 0xff] *
rsqrt_mantissatab[(l >> 13) & 0x3ff]);
}
/* the old names are OK unless we're in IRIX N32 */
#ifndef N32
t_float qsqrt(t_float f) {return (q8_sqrt(f)); }
t_float qrsqrt(t_float f) {return (q8_rsqrt(f)); }
#endif
typedef struct sigrsqrt
{
t_object x_obj;
} t_sigrsqrt;
static t_class *sigrsqrt_class;
static void *sigrsqrt_new(void)
{
t_sigrsqrt *x = (t_sigrsqrt *)pd_new(sigrsqrt_class);
outlet_new(&x->x_obj, gensym("signal"));
x->x_f = 0;
return (x);
}
static t_int *sigrsqrt_perform(t_int *w)
{
t_sample *in = *(t_sample **)(w+1), *out = *(t_sample **)(w+2);
t_int n = *(t_int *)(w+3);
while (n--)
{
long l = *(long *)(in++);
if (f < 0) *out++ = 0;
else
{
t_sample g = rsqrt_exptab[(l >> 23) & 0xff] *
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rsqrt_mantissatab[(l >> 13) & 0x3ff];
*out++ = 1.5 * g - 0.5 * g * g * g * f;
}
}
return (w + 4);
}
static void sigrsqrt_dsp(t_sigrsqrt *x, t_signal **sp)
{
dsp_add(sigrsqrt_perform, 3, sp[0]->s_vec, sp[1]->s_vec, sp[0]->s_n);
}
void sigrsqrt_setup(void)
{
init_rsqrt();
sigrsqrt_class = class_new(gensym("rsqrt~"), (t_newmethod)sigrsqrt_new, 0,
sizeof(t_sigrsqrt), 0, 0);
/* an old name for it: */
class_addcreator(sigrsqrt_new, gensym("q8_rsqrt~"), 0);
CLASS_MAINSIGNALIN(sigrsqrt_class, t_sigrsqrt, x_f);
class_addmethod(sigrsqrt_class, (t_method)sigrsqrt_dsp, gensym("dsp"), 0);
}
/* sigsqrt - square root good to 8 mantissa bits */
typedef struct sigsqrt
{
t_object x_obj;
} t_sigsqrt;
static t_class *sigsqrt_class;
static void *sigsqrt_new(void)
{
t_sigsqrt *x = (t_sigsqrt *)pd_new(sigsqrt_class);
outlet_new(&x->x_obj, gensym("signal"));
x->x_f = 0;
return (x);
}
t_int *sigsqrt_perform(t_int *w) /* not static; also used in d_fft.c */
{
t_sample *in = *(t_sample **)(w+1), *out = *(t_sample **)(w+2);
t_int n = *(t_int *)(w+3);
while (n--)
{
long l = *(long *)(in++);
if (f < 0) *out++ = 0;
else
{
t_sample g = rsqrt_exptab[(l >> 23) & 0xff] *
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rsqrt_mantissatab[(l >> 13) & 0x3ff];
*out++ = f * (1.5 * g - 0.5 * g * g * g * f);
}
}
return (w + 4);
}
static void sigsqrt_dsp(t_sigsqrt *x, t_signal **sp)
{
dsp_add(sigsqrt_perform, 3, sp[0]->s_vec, sp[1]->s_vec, sp[0]->s_n);
}
void sigsqrt_setup(void)
{
sigsqrt_class = class_new(gensym("sqrt~"), (t_newmethod)sigsqrt_new, 0,
sizeof(t_sigsqrt), 0, 0);
class_addcreator(sigsqrt_new, gensym("q8_sqrt~"), 0); /* old name */
CLASS_MAINSIGNALIN(sigsqrt_class, t_sigsqrt, x_f);
class_addmethod(sigsqrt_class, (t_method)sigsqrt_dsp, gensym("dsp"), 0);
}
/* ------------------------------ wrap~ -------------------------- */
typedef struct wrap
{
t_object x_obj;
} t_sigwrap;
t_class *sigwrap_class;
static void *sigwrap_new(void)
{
t_sigwrap *x = (t_sigwrap *)pd_new(sigwrap_class);
outlet_new(&x->x_obj, gensym("signal"));
x->x_f = 0;
return (x);
}
static t_int *sigwrap_perform(t_int *w)
{
t_sample *in = *(t_sample **)(w+1), *out = *(t_sample **)(w+2);
t_int n = *(t_int *)(w+3);
while (n--)
{
int k = f;
if (f > 0) *out++ = f-k;
else *out++ = f - (k-1);
}
return (w + 4);
}
static void sigwrap_dsp(t_sigwrap *x, t_signal **sp)
{
dsp_add(sigwrap_perform, 3, sp[0]->s_vec, sp[1]->s_vec, sp[0]->s_n);
}
void sigwrap_setup(void)
{
sigwrap_class = class_new(gensym("wrap~"), (t_newmethod)sigwrap_new, 0,
sizeof(t_sigwrap), 0, 0);
CLASS_MAINSIGNALIN(sigwrap_class, t_sigwrap, x_f);
class_addmethod(sigwrap_class, (t_method)sigwrap_dsp, gensym("dsp"), 0);
}
/* ------------------------------ mtof_tilde~ -------------------------- */
typedef struct mtof_tilde
{
t_object x_obj;
} t_mtof_tilde;
t_class *mtof_tilde_class;
static void *mtof_tilde_new(void)
{
t_mtof_tilde *x = (t_mtof_tilde *)pd_new(mtof_tilde_class);
outlet_new(&x->x_obj, gensym("signal"));
x->x_f = 0;
return (x);
}
static t_int *mtof_tilde_perform(t_int *w)
{
t_sample *in = *(t_sample **)(w+1), *out = *(t_sample **)(w+2);
t_int n = *(t_int *)(w+3);
for (; n--; in++, out++)
{
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if (f <= -1500) *out = 0;
else
{
if (f > 1499) f = 1499;
*out = 8.17579891564 * exp(.0577622650 * f);
}
}
return (w + 4);
}
static void mtof_tilde_dsp(t_mtof_tilde *x, t_signal **sp)
{
dsp_add(mtof_tilde_perform, 3, sp[0]->s_vec, sp[1]->s_vec, sp[0]->s_n);
}
void mtof_tilde_setup(void)
{
mtof_tilde_class = class_new(gensym("mtof~"), (t_newmethod)mtof_tilde_new, 0,
sizeof(t_mtof_tilde), 0, 0);
CLASS_MAINSIGNALIN(mtof_tilde_class, t_mtof_tilde, x_f);
class_addmethod(mtof_tilde_class, (t_method)mtof_tilde_dsp, gensym("dsp"), 0);
}
/* ------------------------------ ftom_tilde~ -------------------------- */
typedef struct ftom_tilde
{
t_object x_obj;
} t_ftom_tilde;
t_class *ftom_tilde_class;
static void *ftom_tilde_new(void)
{
t_ftom_tilde *x = (t_ftom_tilde *)pd_new(ftom_tilde_class);
outlet_new(&x->x_obj, gensym("signal"));
x->x_f = 0;
return (x);
}
static t_int *ftom_tilde_perform(t_int *w)
{
t_sample *in = *(t_sample **)(w+1), *out = *(t_sample **)(w+2);
t_int n = *(t_int *)(w+3);
for (; n--; *in++, out++)
{
*out = (f > 0 ? 17.3123405046 * log(.12231220585 * f) : -1500);
}
return (w + 4);
}
static void ftom_tilde_dsp(t_ftom_tilde *x, t_signal **sp)
{
dsp_add(ftom_tilde_perform, 3, sp[0]->s_vec, sp[1]->s_vec, sp[0]->s_n);
}
void ftom_tilde_setup(void)
{
ftom_tilde_class = class_new(gensym("ftom~"), (t_newmethod)ftom_tilde_new, 0,
sizeof(t_ftom_tilde), 0, 0);
CLASS_MAINSIGNALIN(ftom_tilde_class, t_ftom_tilde, x_f);
class_addmethod(ftom_tilde_class, (t_method)ftom_tilde_dsp, gensym("dsp"), 0);
}
/* ------------------------------ dbtorms~ -------------------------- */
typedef struct dbtorms_tilde
{
t_object x_obj;
} t_dbtorms_tilde;
t_class *dbtorms_tilde_class;
static void *dbtorms_tilde_new(void)
{
t_dbtorms_tilde *x = (t_dbtorms_tilde *)pd_new(dbtorms_tilde_class);
outlet_new(&x->x_obj, gensym("signal"));
x->x_f = 0;
return (x);
}
static t_int *dbtorms_tilde_perform(t_int *w)
{
t_sample *in = *(t_sample **)(w+1), *out = *(t_sample **)(w+2);
t_int n = *(t_int *)(w+3);
for (; n--; in++, out++)
{
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if (f <= 0) *out = 0;
else
{
if (f > 485)
f = 485;
*out = exp((LOGTEN * 0.05) * (f-100.));
}
}
return (w + 4);
}
static void dbtorms_tilde_dsp(t_dbtorms_tilde *x, t_signal **sp)
{
dsp_add(dbtorms_tilde_perform, 3, sp[0]->s_vec, sp[1]->s_vec, sp[0]->s_n);
}
void dbtorms_tilde_setup(void)
{
dbtorms_tilde_class = class_new(gensym("dbtorms~"), (t_newmethod)dbtorms_tilde_new, 0,
sizeof(t_dbtorms_tilde), 0, 0);
CLASS_MAINSIGNALIN(dbtorms_tilde_class, t_dbtorms_tilde, x_f);
class_addmethod(dbtorms_tilde_class, (t_method)dbtorms_tilde_dsp, gensym("dsp"), 0);
}
/* ------------------------------ rmstodb~ -------------------------- */
typedef struct rmstodb_tilde
{
t_object x_obj;
} t_rmstodb_tilde;
t_class *rmstodb_tilde_class;
static void *rmstodb_tilde_new(void)
{
t_rmstodb_tilde *x = (t_rmstodb_tilde *)pd_new(rmstodb_tilde_class);
outlet_new(&x->x_obj, gensym("signal"));
x->x_f = 0;
return (x);
}
static t_int *rmstodb_tilde_perform(t_int *w)
{
t_sample *in = *(t_sample **)(w+1), *out = *(t_sample **)(w+2);
t_int n = *(t_int *)(w+3);
for (; n--; in++, out++)
{
t_sample g = 100 + 20./LOGTEN * log(f);
*out = (g < 0 ? 0 : g);
}
}
return (w + 4);
}
static void rmstodb_tilde_dsp(t_rmstodb_tilde *x, t_signal **sp)
{
dsp_add(rmstodb_tilde_perform, 3, sp[0]->s_vec, sp[1]->s_vec, sp[0]->s_n);
}
void rmstodb_tilde_setup(void)
{
rmstodb_tilde_class = class_new(gensym("rmstodb~"), (t_newmethod)rmstodb_tilde_new, 0,
sizeof(t_rmstodb_tilde), 0, 0);
CLASS_MAINSIGNALIN(rmstodb_tilde_class, t_rmstodb_tilde, x_f);
class_addmethod(rmstodb_tilde_class, (t_method)rmstodb_tilde_dsp, gensym("dsp"), 0);
}
/* ------------------------------ dbtopow~ -------------------------- */
typedef struct dbtopow_tilde
{
t_object x_obj;
} t_dbtopow_tilde;
t_class *dbtopow_tilde_class;
static void *dbtopow_tilde_new(void)
{
t_dbtopow_tilde *x = (t_dbtopow_tilde *)pd_new(dbtopow_tilde_class);
outlet_new(&x->x_obj, gensym("signal"));
x->x_f = 0;
return (x);
}
static t_int *dbtopow_tilde_perform(t_int *w)
{
t_sample *in = *(t_sample **)(w+1), *out = *(t_sample **)(w+2);
t_int n = *(t_int *)(w+3);
for (; n--; in++, out++)
{
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if (f <= 0) *out = 0;
else
{
if (f > 870)
f = 870;
*out = exp((LOGTEN * 0.1) * (f-100.));
}
}
return (w + 4);
}
static void dbtopow_tilde_dsp(t_dbtopow_tilde *x, t_signal **sp)
{
dsp_add(dbtopow_tilde_perform, 3, sp[0]->s_vec, sp[1]->s_vec, sp[0]->s_n);
}
void dbtopow_tilde_setup(void)
{
dbtopow_tilde_class = class_new(gensym("dbtopow~"), (t_newmethod)dbtopow_tilde_new, 0,
sizeof(t_dbtopow_tilde), 0, 0);
CLASS_MAINSIGNALIN(dbtopow_tilde_class, t_dbtopow_tilde, x_f);
class_addmethod(dbtopow_tilde_class, (t_method)dbtopow_tilde_dsp, gensym("dsp"), 0);
}
/* ------------------------------ powtodb~ -------------------------- */
typedef struct powtodb_tilde
{
t_object x_obj;
} t_powtodb_tilde;
t_class *powtodb_tilde_class;
static void *powtodb_tilde_new(void)
{
t_powtodb_tilde *x = (t_powtodb_tilde *)pd_new(powtodb_tilde_class);
outlet_new(&x->x_obj, gensym("signal"));
x->x_f = 0;
return (x);
}
static t_int *powtodb_tilde_perform(t_int *w)
{
t_sample *in = *(t_sample **)(w+1), *out = *(t_sample **)(w+2);
t_int n = *(t_int *)(w+3);
for (; n--; in++, out++)
{
t_sample g = 100 + 10./LOGTEN * log(f);
*out = (g < 0 ? 0 : g);
}
}
return (w + 4);
}
static void powtodb_tilde_dsp(t_powtodb_tilde *x, t_signal **sp)
{
dsp_add(powtodb_tilde_perform, 3, sp[0]->s_vec, sp[1]->s_vec, sp[0]->s_n);
}
void powtodb_tilde_setup(void)
{
powtodb_tilde_class = class_new(gensym("powtodb~"), (t_newmethod)powtodb_tilde_new, 0,
sizeof(t_powtodb_tilde), 0, 0);
CLASS_MAINSIGNALIN(powtodb_tilde_class, t_powtodb_tilde, x_f);
class_addmethod(powtodb_tilde_class, (t_method)powtodb_tilde_dsp, gensym("dsp"), 0);
}
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/* ----------------------------- pow ----------------------------- */
static t_class *pow_tilde_class;
typedef struct _pow_tilde
{
t_object x_obj;
t_float x_f;
} t_pow_tilde;
static void *pow_tilde_new(t_symbol *s, int argc, t_atom *argv)
{
t_pow_tilde *x = (t_pow_tilde *)pd_new(pow_tilde_class);
inlet_new(&x->x_obj, &x->x_obj.ob_pd, &s_signal, &s_signal);
outlet_new(&x->x_obj, &s_signal);
x->x_f = 0;
return (x);
}
t_int *pow_tilde_perform(t_int *w)
{
t_sample *in1 = (t_sample *)(w[1]);
t_sample *in2 = (t_sample *)(w[2]);
t_sample *out = (t_sample *)(w[3]);
int n = (int)(w[4]);
while (n--)
{
float f = *in1++;
if (f > 0)
*out = pow(f, *in2);
else *out = 0;
out++;
in2++;
}
return (w+5);
}
static void pow_tilde_dsp(t_pow_tilde *x, t_signal **sp)
{
dsp_add(pow_tilde_perform, 4,
sp[0]->s_vec, sp[1]->s_vec, sp[2]->s_vec, sp[0]->s_n);
}
static void pow_tilde_setup(void)
{
pow_tilde_class = class_new(gensym("pow~"), (t_newmethod)pow_tilde_new, 0,
sizeof(t_pow_tilde), 0, A_DEFFLOAT, 0);
CLASS_MAINSIGNALIN(pow_tilde_class, t_pow_tilde, x_f);
class_addmethod(pow_tilde_class, (t_method)pow_tilde_dsp, gensym("dsp"), 0);
}
/* ----------------------------- exp ----------------------------- */
static t_class *exp_tilde_class;
typedef struct _exp_tilde
{
t_object x_obj;
t_float x_f;
} t_exp_tilde;
static void *exp_tilde_new(t_symbol *s, int argc, t_atom *argv)
{
t_exp_tilde *x = (t_exp_tilde *)pd_new(exp_tilde_class);
outlet_new(&x->x_obj, &s_signal);
return (x);
}
t_int *exp_tilde_perform(t_int *w)
{
t_sample *in1 = (t_sample *)(w[1]);
t_sample *out = (t_sample *)(w[2]);
int n = (int)(w[3]);
while (n--)
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return (w+4);
}
static void exp_tilde_dsp(t_exp_tilde *x, t_signal **sp)
{
dsp_add(exp_tilde_perform, 3,
sp[0]->s_vec, sp[1]->s_vec, sp[0]->s_n);
}
static void exp_tilde_setup(void)
{
exp_tilde_class = class_new(gensym("exp~"), (t_newmethod)exp_tilde_new, 0,
sizeof(t_exp_tilde), 0, 0);
CLASS_MAINSIGNALIN(exp_tilde_class, t_exp_tilde, x_f);
class_addmethod(exp_tilde_class, (t_method)exp_tilde_dsp, gensym("dsp"), 0);
}
/* ----------------------------- log ----------------------------- */
static t_class *log_tilde_class;
typedef struct _log_tilde
{
t_object x_obj;
t_float x_f;
} t_log_tilde;
static void *log_tilde_new(t_symbol *s, int argc, t_atom *argv)
{
t_log_tilde *x = (t_log_tilde *)pd_new(log_tilde_class);
inlet_new(&x->x_obj, &x->x_obj.ob_pd, &s_signal, &s_signal);
outlet_new(&x->x_obj, &s_signal);
x->x_f = 0;
return (x);
}
t_int *log_tilde_perform(t_int *w)
{
t_sample *in1 = (t_sample *)(w[1]);
t_sample *in2 = (t_sample *)(w[2]);
t_sample *out = (t_sample *)(w[3]);
int n = (int)(w[4]);
while (n--)
{
float f = *in1++, g = *in2++;
if (f <= 0)
*out = -1000; /* rather than blow up, output a number << 0 */
else if (g <= 0)
*out = log(f);
else *out = log(f)/log(g);
out++;
}
return (w+5);
}
static void log_tilde_dsp(t_log_tilde *x, t_signal **sp)
{
dsp_add(log_tilde_perform, 4,
sp[0]->s_vec, sp[1]->s_vec, sp[2]->s_vec, sp[0]->s_n);
}
static void log_tilde_setup(void)
{
log_tilde_class = class_new(gensym("log~"), (t_newmethod)log_tilde_new, 0,
sizeof(t_log_tilde), 0, A_DEFFLOAT, 0);
CLASS_MAINSIGNALIN(log_tilde_class, t_log_tilde, x_f);
class_addmethod(log_tilde_class, (t_method)log_tilde_dsp, gensym("dsp"), 0);
}
/* ----------------------------- abs ----------------------------- */
static t_class *abs_tilde_class;
typedef struct _abs_tilde
{
t_object x_obj;
t_float x_f;
} t_abs_tilde;
static void *abs_tilde_new(t_symbol *s, int argc, t_atom *argv)
{
t_abs_tilde *x = (t_abs_tilde *)pd_new(abs_tilde_class);
outlet_new(&x->x_obj, &s_signal);
return (x);
}
t_int *abs_tilde_perform(t_int *w)
{
t_sample *in1 = (t_sample *)(w[1]);
t_sample *out = (t_sample *)(w[2]);
int n = (int)(w[3]);
while (n--)
{
float f = *in1++;
}
return (w+4);
}
static void abs_tilde_dsp(t_abs_tilde *x, t_signal **sp)
{
dsp_add(abs_tilde_perform, 3,
sp[0]->s_vec, sp[1]->s_vec, sp[0]->s_n);
}
static void abs_tilde_setup(void)
{
abs_tilde_class = class_new(gensym("abs~"), (t_newmethod)abs_tilde_new, 0,
sizeof(t_abs_tilde), 0, 0);
CLASS_MAINSIGNALIN(abs_tilde_class, t_abs_tilde, x_f);
class_addmethod(abs_tilde_class, (t_method)abs_tilde_dsp, gensym("dsp"), 0);
}
/* ------------------------ global setup routine ------------------------- */
void d_math_setup(void)
{
t_symbol *s = gensym("acoustics~.pd");
clip_setup();
sigrsqrt_setup();
sigsqrt_setup();
sigwrap_setup();
mtof_tilde_setup();
ftom_tilde_setup();
dbtorms_tilde_setup();
rmstodb_tilde_setup();
dbtopow_tilde_setup();
powtodb_tilde_setup();
pow_tilde_setup();
exp_tilde_setup();
log_tilde_setup();
abs_tilde_setup();
class_sethelpsymbol(mtof_tilde_class, s);
class_sethelpsymbol(ftom_tilde_class, s);
class_sethelpsymbol(dbtorms_tilde_class, s);
class_sethelpsymbol(rmstodb_tilde_class, s);
class_sethelpsymbol(dbtopow_tilde_class, s);
class_sethelpsymbol(powtodb_tilde_class, s);
}