-/************************************************************************
- ************************************************************************
- 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);
-};
-
-
-