/************************************************************************
************************************************************************
FAUST library file
Copyright (C) 2003-2011 GRAME, Centre National de Creation Musicale
---------------------------------------------------------------------
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 2.1 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 the GNU C Library; if not, write to the Free
Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
02111-1307 USA.
************************************************************************
************************************************************************/
declare name "Music Library";
declare author "GRAME";
declare copyright "GRAME";
declare version "1.0";
declare license "LGPL";
import("math.lib");
//-----------------------------------------------
// DELAY LINE
//-----------------------------------------------
frac(n) = n-int(n);
index(n) = &(n-1) ~ +(1); // n = 2**i
//delay(n,d,x) = rwtable(n, 0.0, index(n), x, (index(n)-int(d)) & (n-1));
delay(n,d,x) = x@(int(d)&(n-1));
fdelay(n,d,x) = delay(n,int(d),x)*(1 - frac(d)) + delay(n,int(d)+1,x)*frac(d);
delay1s(d) = delay(65536,d);
delay2s(d) = delay(131072,d);
delay5s(d) = delay(262144,d);
delay10s(d) = delay(524288,d);
delay21s(d) = delay(1048576,d);
delay43s(d) = delay(2097152,d);
fdelay1s(d) = fdelay(65536,d);
fdelay2s(d) = fdelay(131072,d);
fdelay5s(d) = fdelay(262144,d);
fdelay10s(d) = fdelay(524288,d);
fdelay21s(d) = fdelay(1048576,d);
fdelay43s(d) = fdelay(2097152,d);
millisec = SR/1000.0;
time1s = hslider("time", 0, 0, 1000, 0.1)*millisec;
time2s = hslider("time", 0, 0, 2000, 0.1)*millisec;
time5s = hslider("time", 0, 0, 5000, 0.1)*millisec;
time10s = hslider("time", 0, 0, 10000, 0.1)*millisec;
time21s = hslider("time", 0, 0, 21000, 0.1)*millisec;
time43s = hslider("time", 0, 0, 43000, 0.1)*millisec;
echo1s = vgroup("echo 1000", +~(delay(65536, int(hslider("millisecond", 0, 0, 1000, 0.10)*millisec)-1) * (hslider("feedback", 0, 0, 100, 0.1)/100.0)));
echo2s = vgroup("echo 2000", +~(delay(131072, int(hslider("millisecond", 0, 0, 2000, 0.25)*millisec)-1) * (hslider("feedback", 0, 0, 100, 0.1)/100.0)));
echo5s = vgroup("echo 5000", +~(delay(262144, int(hslider("millisecond", 0, 0, 5000, 0.50)*millisec)-1) * (hslider("feedback", 0, 0, 100, 0.1)/100.0)));
echo10s = vgroup("echo 10000", +~(delay(524288, int(hslider("millisecond", 0, 0, 10000, 1.00)*millisec)-1) * (hslider("feedback", 0, 0, 100, 0.1)/100.0)));
echo21s = vgroup("echo 21000", +~(delay(1048576, int(hslider("millisecond", 0, 0, 21000, 1.00)*millisec)-1) * (hslider("feedback", 0, 0, 100, 0.1)/100.0)));
echo43s = vgroup("echo 43000", +~(delay(2097152, int(hslider("millisecond", 0, 0, 43000, 1.00)*millisec)-1) * (hslider("feedback", 0, 0, 100, 0.1)/100.0)));
//--------------------------sdelay(N,it,dt)----------------------------
// s(mooth)delay : a mono delay that doesn't click and doesn't
// transpose when the delay time is changed. It takes 4 input signals
// and produces a delayed output signal
//
// USAGE : ... : sdelay(N,it,dt) : ...
//
// Where :
// <N> = maximal delay in samples (must be a constant power of 2, for example 65536)
// <it> = interpolation time (in samples) for example 1024
// <dt> = delay time (in samples)
// < > = input signal we want to delay
//--------------------------------------------------------------------------
sdelay(N, it, dt) = ctrl(it,dt),_ : ddi(N)
with {
//---------------------------ddi(N,i,d0,d1)-------------------------------
// DDI (Double Delay with Interpolation) : the input signal is sent to two
// delay lines. The outputs of these delay lines are crossfaded with
// an interpolation stage. By acting on this interpolation value one
// can move smoothly from one delay to another. When <i> is 0 we can
// freely change the delay time <d1> of line 1, when it is 1 we can freely change
// the delay time <d0> of line 0.
//
// <N> = maximal delay in samples (must be a power of 2, for example 65536)
// <i> = interpolation value between 0 and 1 used to crossfade the outputs of the
// two delay lines (0.0: first delay line, 1.0: second delay line)
// <d0> = delay time of delay line 0 in samples between 0 and <N>-1
// <d1> = delay time of delay line 1 in samples between 0 and <N>-1
// < > = the input signal we want to delay
//-------------------------------------------------------------------------
ddi(N, i, d0, d1) = _ <: delay(N,d0), delay(N,d1) : interpolate(i);
//----------------------------ctrl(it,dt)------------------------------------
// Control logic for a Double Delay with Interpolation according to two
//
// USAGE : ctrl(it,dt)
// where :
// <it> an interpolation time (in samples, for example 256)
// <dt> a delay time (in samples)
//
// ctrl produces 3 outputs : an interpolation value <i> and two delay
// times <d0> and <d1>. These signals are used to control a ddi (Double Delay with Interpolation).
// The principle is to detect changes in the input delay time dt, then to
// change the delay time of the delay line currently unused and then by a
// smooth crossfade to remove the first delay line and activate the second one.
//
// The control logic has an internal state controlled by 4 elements
// <v> : the interpolation variation (0, 1/it, -1/it)
// <i> : the interpolation value (between 0 and 1)
// <d0>: the delay time of line 0
// <d1>: the delay time of line 1
//
// Please note that the last stage (!,_,_,_) cut <v> because it is only
// used internally.
//-------------------------------------------------------------------------
ctrl(it, dt) = \(v,ip,d0,d1).( (nv, nip, nd0, nd1)
with {
// interpolation variation
nv = if (v!=0.0, // if variation we are interpolating
if( (ip>0.0) & (ip<1.0), v , 0), // should we continue or not ?
if ((ip==0.0) & (dt!=d0), 1.0/it, // if true xfade from dl0 to dl1
if ((ip==1.0) & (dt!=d1), -1.0/it, // if true xfade from dl1 to dl0
0))); // nothing to change
// interpolation value
nip = ip+nv : min(1.0) : max(0.0);
// update delay time of line 0 if needed
nd0 = if ((ip >= 1.0) & (d1!=dt), dt, d0);
// update delay time of line 0 if needed
nd1 = if ((ip <= 0.0) & (d0!=dt), dt, d1);
} ) ~ (_,_,_,_) : (!,_,_,_);
};
//-----------------------------------------------
// Tempo, beats and pulses
//-----------------------------------------------
tempo(t) = (60*SR)/t; // tempo(t) -> samples
period(p) = %(int(p))~+(1); // signal en dent de scie de periode p
pulse(t) = period(t)==0; // pulse (10000...) de periode p
pulsen(n,t) = period(t)<n; // pulse (1110000...) de taille n et de periode p
beat(t) = pulse(tempo(t)); // pulse au tempo t
//-----------------------------------------------
// conversions between db and linear values
//-----------------------------------------------
db2linear(x) = pow(10, x/20.0);
linear2db(x) = 20*log10(x);
//===============================================
// Random and Noise generators
//===============================================
//-----------------------------------------------
// noise : Noise generator
//-----------------------------------------------
random = +(12345) ~ *(1103515245);
RANDMAX = 2147483647.0;
noise = random / RANDMAX;
//-----------------------------------------------
// Generates multiple decorrelated random numbers
// in parallel. Expects n>0.
//-----------------------------------------------
multirandom(n) = randomize(n) ~_
with {
randomize (1) = +(12345) : *(1103515245);
randomize (n) = randomize(1) <: randomize(n-1),_;
};
//-----------------------------------------------
// Generates multiple decorrelated noises
// in parallel. Expects n>0.
//-----------------------------------------------
multinoise(n) = multirandom(n) : par(i,n,/(RANDMAX))
with {
RANDMAX = 2147483647.0;
};
//------------------------------------------------
noises(N,i) = multinoise(N) : selector(i,N);
//-----------------------------------------------
// osc(freq) : Sinusoidal Oscillator
//-----------------------------------------------
tablesize = 1 << 16;
samplingfreq = SR;
time = (+(1)~_ ) - 1; // 0,1,2,3,...
sinwaveform = float(time)*(2.0*PI)/float(tablesize) : sin;
decimal(x) = x - floor(x);
phase(freq) = freq/float(samplingfreq) : (+ : decimal) ~ _ : *(float(tablesize));
osc(freq) = rdtable(tablesize, sinwaveform, int(phase(freq)) );
osci(freq) = s1 + d * (s2 - s1)
with {
i = int(phase(freq));
d = decimal(phase(freq));
s1 = rdtable(tablesize+1,sinwaveform,i);
s2 = rdtable(tablesize+1,sinwaveform,i+1);};
//-----------------------------------------------
// ADSR envelop
//-----------------------------------------------
// a,d,s,r = attack (#samples), decay (sec), sustain (percentage), release (sec)
// t = trigger signal
adsr(a,d,s,r,t) = env ~ (_,_) : (!,_) // the 2 'state' signals are fed back
with {
env (p2,y) =
(t>0) & (p2|(y>=1)), // p2 = decay-sustain phase
(y + p1*u - (p2&(y>s))*v*y - p3*w*y) // y = envelop signal
*((p3==0)|(y>=eps)) // cut off tails to prevent denormals
with {
p1 = (p2==0) & (t>0) & (y<1); // p1 = attack phase
p3 = (t<=0) & (y>0); // p3 = release phase
// #samples in attack, decay, release, must be >0
na = SR*a+(a==0.0); nd = SR*d+(d==0.0); nr = SR*r+(r==0.0);
// correct zero sustain level
z = s+(s==0.0)*db2linear(-60);
// attack, decay and (-60dB) release rates
u = 1/na; v = 1-pow(z, 1/nd); w = 1-1/pow(z*db2linear(60), 1/nr);
// values below this threshold are considered zero in the release phase
eps = db2linear(-120);
};
};
//-----------------------------------------------
// Spatialisation
//-----------------------------------------------
panner(c) = _ <: *(1-c), *(c);
bus2 = _,_;
bus3 = _,_,_;
bus4 = _,_,_,_;
bus5 = _,_,_,_,_;
bus6 = _,_,_,_,_,_;
bus7 = _,_,_,_,_,_,_;
bus8 = _,_,_,_,_,_,_,_;
gain2(g) = *(g),*(g);
gain3(g) = *(g),*(g),*(g);
gain4(g) = *(g),*(g),*(g),*(g);
gain5(g) = *(g),*(g),*(g),*(g),*(g);
gain6(g) = *(g),*(g),*(g),*(g),*(g),*(g);
gain7(g) = *(g),*(g),*(g),*(g),*(g),*(g),*(g);
gain8(g) = *(g),*(g),*(g),*(g),*(g),*(g),*(g),*(g);
//------------------------------------------------------
//
// GMEM SPAT
// n-outputs spatializer
// implementation of L. Pottier
//
//------------------------------------------------------
//
// n = number of outputs
// r = rotation (between 0 et 1)
// d = distance of the source (between 0 et 1)
//
//------------------------------------------------------
spat(n,a,d) = _ <: par(i, n, *( scaler(i, n, a, d) : smooth(0.9999) ))
with {
scaler(i,n,a,d) = (d/2.0+0.5)
* sqrt( max(0.0, 1.0 - abs(fmod(a+0.5+float(n-i)/n, 1.0) - 0.5) * n * d) );
smooth(c) = *(1-c) : +~*(c);
};
//--------------- Second Order Generic Transfert Function -------------------------
// TF2(b0,b1,b2,a1,a2)
//
//---------------------------------------------------------------------------------
TF2(b0,b1,b2,a1,a2) = sub ~ conv2(a1,a2) : conv3(b0,b1,b2)
with {
conv3(k0,k1,k2,x) = k0*x + k1*x' + k2*x'';
conv2(k0,k1,x) = k0*x + k1*x';
sub(x,y) = y-x;
};
/*************************** Break Point Functions ***************************
bpf is an environment (a group of related definitions) tha can be used to
create break-point functions. It contains three functions :
- start(x,y) to start a break-point function
- end(x,y) to end a break-point function
- point(x,y) to add intermediate points to a break-point function
A minimal break-point function must contain at least a start and an end point :
f = bpf.start(x0,y0) : bpf.end(x1,y1);
A more involved break-point function can contains any number of intermediate
points
f = bpf.start(x0,y0) : bpf.point(x1,y1) : bpf.point(x2,y2) : bpf.end(x3,y3);
In any case the x_{i} must be in increasing order (for all i, x_{i} < x_{i+1})
For example the following definition :
f = bpf.start(x0,y0) : ... : bpf.point(xi,yi) : ... : bpf.end(xn,yn);
implements a break-point function f such that :
f(x) = y_{0} when x < x_{0}
f(x) = y_{n} when x > x_{n}
f(x) = y_{i} + (y_{i+1}-y_{i})*(x-x_{i})/(x_{i+1}-x_{i}) when x_{i} <= x and x < x_{i+1}
******************************************************************************/
bpf = environment
{
// Start a break-point function
start(x0,y0) = \(x).(x0,y0,x,y0);
// Add a break-point
point(x1,y1) = \(x0,y0,x,y).(x1, y1, x , if (x < x0, y, if (x < x1, y0 + (x-x0)*(y1-y0)/(x1-x0), y1)));
// End a break-point function
end (x1,y1) = \(x0,y0,x,y).(if (x < x0, y, if (x < x1, y0 + (x-x0)*(y1-y0)/(x1-x0), y1)));
// definition of if
if (c,t,e) = select2(c,e,t);
};