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/*
pluck.c:
Copyright (C) 1994, 2000 Michael A. Casey, John ffitch
This file is part of Csound.
The Csound Library 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 2.1 of the License, or (at your option) any later version.
Csound 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 Csound; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA
02110-1301 USA
*/
/* pluck.c -- plucked string class definitions */
/*
* Code conversion from C++ to C (October 1994)
* Author: Michael A. Casey MIT Media Labs
* Language: C
* Copyright (c) 1994 MIT Media Lab, All Rights Reserved
* Some modifications John ffitch, 2000, simplifying code
*/
#include "stdopcod.h"
#include "wavegde.h"
#include "pluck.h"
/* external prototypes */
static void pluckSetFilters(CSOUND*, WGPLUCK*, MYFLT, MYFLT);
static MYFLT *pluckShape(CSOUND*, WGPLUCK*); /* pluck shape function */
/* ***** class filter3 -- JPff ****** */
/* ::set -- set the coefficients */
static inline void filter3Set(filter3* filt, MYFLT a0, MYFLT a1)
{
filt->a0 = a0;
filt->a1 = a1;
filt->x1 = filt->x2 = FL(0.0);
#ifdef WG_VERBOSE
csound->Message(csound, "c[0]=%f; c[1]=%f; c[2]=\n", a0, a1, a0);
csound->Message(csound, "Zeros at %f, %f\n",
(-a1-sqrt(a1*a1-4.0*a0*a0))/(2.0*a0),
(-a1+sqrt(a1*a1-4.0*a0*a0))/(2.0*a0));
#endif
}
/* ***** plucked string class member function definitions ***** */
/* pluck::excite -- excitation function for plucked string */
static int32_t pluckExcite(CSOUND *csound, WGPLUCK* p)
{
MYFLT *shape;
int32_t i;
int32_t size = p->wg.upperRail.size;
/* set the delay element to pick at */
p->pickSamp=(len_t)(size * *p->pickPos);
if (UNLIKELY(p->pickSamp<1))
p->pickSamp = 1;
/* set the bridge filter coefficients for the correct magnitude response */
pluckSetFilters(csound, p,*p->Aw0,*p->AwPI);/*attenuation in dB at w0 and PI*/
/* add the pick shape to the waveguide rails */
if (UNLIKELY((shape = pluckShape(csound,p))==NULL)) return NOTOK;
/* add shape to lower rail */
for (i=0;i<size;i++) {
p->wg.lowerRail.data[i] = shape[i]; /* Why add? Starts at zero anyway */
p->wg.upperRail.data[size-i-1] = shape[i];
}
/* free the space used by the pluck shape */
csound->Free(csound, shape);
/* set excitation flag */
p->wg.excited = 1;
return OK;
}
/* ::pluck -- create the plucked-string instrument */
static int32_t pluckPluck(CSOUND *csound, WGPLUCK* p)
{
/* ndelay = total required delay - 1.0 */
len_t ndelay = (len_t) (CS_ESR / *p->freq - FL(1.0));
#ifdef WG_VERBOSE
csound->Message(csound, "pluckPluck -- allocating memory...");
#endif
/* Allocate auxillary memory or reallocate if size has changed */
csound->AuxAlloc(csound, (len_t)(ndelay/2)*sizeof(MYFLT), &p->upperData);
csound->AuxAlloc(csound, (len_t)(ndelay/2)*sizeof(MYFLT), &p->lowerData);
#ifdef WG_VERBOSE
csound->Message(csound, "done.\n");
#endif
/* construct waveguide object */
#ifdef WG_VERBOSE
csound->Message(csound, "Constructing waveguide...");
#endif
waveguideWaveguide(csound,
(waveguide*)&p->wg, /* waveguide */
(MYFLT)*p->freq, /* f0 frequency */
(MYFLT*)p->upperData.auxp, /* upper rail data */
(MYFLT*)p->lowerData.auxp); /* lower rail data */
#ifdef WG_VERBOSE
csound->Message(csound, "done.\n");
#endif
/* Excite the string with the input parameters */
#ifdef WG_VERBOSE
csound->Message(csound, "Exciting the string...");
#endif
pluckExcite(csound,p);
#ifdef WG_VERBOSE
csound->Message(csound, "done\n");
#endif
return OK;
}
/* pluck::setFilters -- frequency dependent filter calculations */
static void pluckSetFilters(CSOUND *csound, WGPLUCK* p, MYFLT A_w0, MYFLT A_PI)
{
/* Define the required magnitude response of H1 at w0 and PI */
/* Constrain attenuation specification to dB per second */
MYFLT NRecip = p->wg.f0 * csound->onedsr; /* N=t*CS_ESR/f0 */
MYFLT H1_w0 = POWER(FL(10.0),-A_w0*FL(0.05)*NRecip);
MYFLT H1_PI = POWER(FL(10.0),-A_PI*FL(0.05)*NRecip);
{
/* The tuning filter is allpass, so no dependency for H1 */
/* therefore solve for the coefficients of the bridge filter directly */
MYFLT cosw0 = COS(p->wg.w0);
MYFLT a1=(H1_w0+cosw0*H1_PI)/(1+cosw0);
MYFLT a0 = (a1 - H1_PI)*FL(0.5);
/* apply constraints on coefficients (see Sullivan)*/
if (UNLIKELY((a0<FL(0.0))|| (a1<a0+a0))) {
a0=FL(0.0);
a1=H1_w0;
}
filter3Set(&p->bridge,a0, a1); /* set the new bridge coefficients */
}
}
/* ::pluckShape -- the pluck function for a string */
static MYFLT *pluckShape(CSOUND *csound, WGPLUCK* p)
{
MYFLT scale = *p->amp;
MYFLT *shape;
len_t len=p->wg.lowerRail.size;
len_t i;
MYFLT M;
/* This memory must be freed after use */
shape = (MYFLT *)csound->Malloc(csound, len*sizeof(MYFLT));
if (UNLIKELY(!shape)) {
csound->InitError(csound,
Str("wgpluck:Could not allocate for initial shape"));
return NULL;
}
scale = FL(0.5) * scale; /* Scale was squared!! */
for (i=0;i<p->pickSamp;i++)
shape[i] = scale*i / p->pickSamp;
M = (MYFLT)len - p->pickSamp;
for (i=0;i<M;i++)
shape[p->pickSamp+i] = scale - (i*scale/M);
return shape;
}
/* ::update -- waveguide rail insert and update routine */
static inline void guideRailUpdate(guideRail *gr,MYFLT samp)
{
*gr->pointer++ = samp;
if (UNLIKELY(gr->pointer > gr->endPoint))
gr->pointer = gr->data;
}
/* ::getSamps -- the sample generating routine */
static int32_t pluckGetSamps(CSOUND *csound, WGPLUCK* p)
{
IGN(csound);
MYFLT yr0,yl0,yrM,ylM; /* Key positions on the waveguide */
MYFLT *ar = p->out; /* The sample output buffer */
len_t M=p->wg.upperRail.size; /* Length of the guide rail */
uint32_t offset = p->h.insdshead->ksmps_offset;
uint32_t early = p->h.insdshead->ksmps_no_end;
len_t n,nsmps=CS_KSMPS;
/* int32_t i = 0; */
MYFLT *fdbk = p->afdbk;
/* set the delay element to pickup at */
len_t pickupSamp=(len_t)(M * *p->pickupPos);
if (UNLIKELY(pickupSamp<1)) pickupSamp = 1;
if (UNLIKELY(offset)) memset(ar, '\0', offset*sizeof(MYFLT));
if (UNLIKELY(early)) {
nsmps -= early;
memset(&ar[nsmps], '\0', early*sizeof(MYFLT));
}
for (n=offset;n<nsmps;n++) {
ar[n] = guideRailAccess(&p->wg.upperRail,pickupSamp)
+guideRailAccess(&p->wg.lowerRail,M-pickupSamp);
yrM = guideRailAccess(&p->wg.upperRail,M-1);/* wave into the nut */
ylM = -yrM; /* reflect the incoming sample at the nut */
yl0 = guideRailAccess(&p->wg.lowerRail,0); /* wave into bridge */
yr0 = -filter3FIR(&p->bridge,yl0); /* bridge reflection filter */
yr0 = filterAllpass(&p->wg,yr0); /* allpass tuning filter */
yr0 += *fdbk++; /* Surely better to inject here */
guideRailUpdate(&p->wg.upperRail,yr0); /* update the upper rail*/
guideRailUpdate(&p->wg.lowerRail,ylM); /* update the lower rail*/
}
return OK;
}
/*
* Code conversion from C++ to C (October 1994)
* Author: Michael A. Casey MIT Media Labs
* Language: C
* Copyright (c) 1994 MIT Media Lab, All Rights Reserved
*/
#define EPSILON (FL(0.25)) /* threshold for small tuning values */
/* prototypes */
static inline int32_t circularBufferCircularBuffer(CSOUND *csound,
circularBuffer* cb, len_t N)
{
IGN(csound);
MYFLT *data = cb->data;
/* if (UNLIKELY(!data)) */
/* return csound->InitError(csound, */
/* Str("wgpluck: Buffer memory not allocated!")); */
/* Initialize pointers and variables */
cb->size = N;
cb->inited = 1;
cb->pointer = data;
cb->endPoint = data+cb->size-1;
cb->insertionPoint = data;
cb->extractionPoint = data;
return OK;
}
/* ***** class guideRail -- waveguide rail derived class ***** */
/* Guide rail is a circular buffer */
#define guideRailGuideRail(csound,gr,d) circularBufferCircularBuffer(csound, gr,d)
/* ::access -- waveguide rail access routine */
static MYFLT guideRailAccess(guideRail* gr, len_t pos)
{
MYFLT *s = gr->pointer - pos;
while (s < gr->data)
s += gr->size;
while (s > gr->endPoint)
s -= gr->size;
return *s;
}
/* ::FIR -- direct convolution filter routine */
static MYFLT filter3FIR(filter3* filt, MYFLT s)
{
/* y[n] = c1*x[n] + c2*x[n-1] + ... + cM*x[n-M+1] */
MYFLT ans = filt->a0 * (s+filt->x2) + filt->a1 * filt->x1;
filt->x2 = filt->x1;
filt->x1 = s;
return ans;
}
/* ::allpass -- accurate 1st-order allpass filter routine */
/* c = allpass filter coefficient, input sample */
static MYFLT filterAllpass(waveguide* wg,MYFLT s)
{
/* p[n] = x[n] + gp[n-1], y[n] = p[n-1] - gp[n] */
MYFLT q = s + wg->c*wg->p;
s = - wg->c * q + wg->p;
wg->p = q;
return s;
}
/* q = 0.000000 wg->c = -0.047619 wg->p = 0.000000 s = 0.000000 s1 = nan */
/* ***** Waveguide base-class member definitions ***** */
/* ::waveguide -- constructor
* sets delay lengths and filter responses for frequency
* total delay length = (SR/f0)
* also sets tuning filter for fractional delay for exact tuning
*/
static void waveguideWaveguide(CSOUND *csound,
waveguide* wg,
MYFLT freq,
MYFLT* upperData,
MYFLT* lowerData)
{
MYFLT size, df;
wg->excited = 0;
wg->p = FL(0.0); /* tuning filter state variable */
wg->f0 = freq;
wg->w0 = csound->tpidsr*freq;
#ifdef WG_VERBOSE
csound->Message(csound, "f0=%f, w0=%f\n", wg->f0, wg->w0);
#endif
/* Calculate the size of the delay lines and set them */
/* Set pointers to appropriate positions in instrument memory */
size = CS_ESR / freq - FL(1.0);
/* construct the fractional part of the delay */
df = (size - (len_t)size); /* fractional delay amount */
if (df<EPSILON) {
df = FL(1.0)+EPSILON;
size = size-FL(1.0);
}
wg->upperRail.data = upperData;
wg->lowerRail.data = lowerData;
#ifdef WG_VERBOSE
csound->Message(csound, "size=%d+1, df=%f\n", (len_t) size, df);
#endif
size = size*FL(0.5);
circularBufferCircularBuffer(csound, &wg->upperRail,(len_t)size);
circularBufferCircularBuffer(csound, &wg->lowerRail,(len_t)size);
waveguideSetTuning(csound, wg,df);
}
/* Set the allpass tuning filter coefficient */
static void waveguideSetTuning(CSOUND *csound, waveguide* wg, MYFLT df)
{
MYFLT k=csound->onedsr * wg->w0;
/*c = (1.0-df)/(1.0+df);*/ /* Solve for coefficient from df */
wg->c = -sinf((k-k*df)/FL(2.0))/sinf((k+k*df)/FL(2.0));
#ifdef WG_VERBOSE
csound->Message(csound, "tuning :c=%f\n", wg->c);
#endif
}
#define S(x) sizeof(x)
static OENTRY localops[] =
{
{ "wgpluck",S(WGPLUCK),0, 3,"a","iikiiia",
(SUBR)pluckPluck,(SUBR)pluckGetSamps}
};
int32_t pluck_init_(CSOUND *csound)
{
return csound->AppendOpcodes(csound, &(localops[0]),
(int32_t
) (sizeof(localops) / sizeof(OENTRY)));
}
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