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LazyLimiter.lib
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LazyLimiter.lib
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/*
* Copyright (C) 2023 Bart Brouns
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; version 2 of the License.
*
* 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 General Public License for more details.
*/
/*some building blocks where taken from or inspired by compressor-basics.dsp by Sampo Savolainen*/
declare name "LazyLimiter";
declare version "0.3.3";
declare author "Bart Brouns";
declare license "GPL-2.0-only";
declare copyright "© 2023 Bart Brouns <bart@magnetophon.nl>";
import("stdfaust.lib");
//todo: mid-side, auto-release
currentLevel(x) = ((abs(x)):ba.linear2db);
currentdown(x) = 0-(((currentLevel(x))-(threshold-inGain)):max(0));
// smoothing function, 0 attack, release coefficient "r" and signal x
releaseEnv(r, x) = x:(env(r))~_
with {
env (r, prevx, x)= select2( (x > prevx), x, (x*r)+(prevx * (1-r)) );
};
time_ratio_release(t) = exp(1) / ( t * ma.SR);// * time_ratio_target_rel );
// slidemin by Yann Orlarey, with variable_hold by Bart Brouns.
// 2*k : number of windows, w : size of the window in samples
// total window siz in samples: 2*k*w
// example _ : slidemin(16,16) : _
slidemin(k,w,x) = fixed_hold(w,x) : pmin(k,w)
with {
variable_hold(w,x) =
0:seq(i,maxWinSize,
(((i+1)>(maxWinSize-w))*(x@(i))),_: min
);
fixed_hold(w,x) =
0:seq(i,maxWinSize,
((x@(i))),_: min
);
smin(n) = F ~ (_,_) : !,_
with {
F(k,m,x) = (k+1)%n, ba.if(k==0, x, min(x,m));
};
pmin(1,w) = _ <: _ , @(w) : min;
pmin(k,w) = _ <: pmin(1,w), (@(2*w) : pmin(k-1,w)) : min;
};
// by Yann Orlarey
// 2*k : number of windows, w : size of the window in samples
// example _ : slidemax(7,16) : _
slidemax(k,w) = smax(w) : pmax(k,w)
with {
smax(n) = F ~ (_,_) : !,_
with {
F(k,m,x) = (k+1)%n, ba.if(k==0, x, max(x,m));
};
pmax(1,w) = _ <: _ , @(w) : max;
pmax(k,w) = _ <: pmax(1,w), (@(2*w) : pmax(k-1,w)) : max;
};
Lookahead(x,lastdown,avgLevel) =
attackGRYann,
// attackGRrelative,
// attackGR,
// attackGRrelativeLin,
// currentdown(x)@maxHoldTime,
// Yann_hold(x)
// variable_hold(maxHoldTime,winSize,x)
// block_hold_semivar(x)
// block_hold_var(x)
binary_block_hold(x)
// block_hold(x)
// 0
// (fixed_hold(maxHoldTime,currentdown(x)):max(lastdown))
// variable_hold(maxHoldTime,holdTime,x)
:min//:min(currentdown(x)@maxHoldTime)// todo: remove this hack without getting overshoot
// ;
// lastdown = -0.002;
with {
// this one should be more efficient: fixed hold time
// fixed_hold = ( 0:seq(i,maxHoldTime,(currentdown(x)@(i):max(lastdown)),_: min ));
fixed_hold(w,x) =
0:seq(i,w,
((x@(i))),_: min
);
// x:minn(w);
// yet this one is more efficient: variable hold time
variable_hold(maxSize,size,x) =
0:seq(i,maxSize,
(((maxSize-i)<=(size))*(currentdown(x)@(i))),_: min
// (((i+1)>(maxSize-size))*(currentdown(x)@(i))),_: min
// ):max(lastdown):min(currentdown(x)@maxHoldTime);
):max(lastdown);
block_hold(x) = ( 0:seq(i,int(maxHoldTime/maxWinSize),((fixed_hold(maxWinSize,currentdown(x))@(i*maxWinSize))),_:min )):max(lastdown);
binary_block_hold(x) = ba.slidingMin(winSize,maxHoldTime,currentdown(x)):max(lastdown);
block_hold_semivar(x) =
( (0)
:seq(i,int(maxHoldTime/maxWinSize),((fixed_hold(maxWinSize,currentdown(x))@(i*maxWinSize)*((int(maxHoldTime/maxWinSize)-i)<=ceil(winSize/maxWinSize)))),_:min )
):max(lastdown);
block_hold_var_OLD(x) =
( (variable_hold(maxWinSize,((decimal(winSize/maxWinSize))*maxWinSize),x@(floor(winSize/maxWinSize)*maxWinSize)))
:seq(i,int(maxHoldTime/maxWinSize),((fixed_hold(maxWinSize,currentdown(x))@(i*maxWinSize)*((int(maxHoldTime/maxWinSize)-i)<=floor(winSize/maxWinSize)))),_:min )
):max(lastdown);
block_hold_var(x) =
( 0:seq(i,int(maxHoldTime/maxWinSize),(variable_hold(maxWinSize,((decimal(winSize/maxWinSize))*maxWinSize),x)@(i*maxWinSize)*(((floor(winSize/maxWinSize)==i)))),_:min )
:seq(i,int(maxHoldTime/maxWinSize),((fixed_hold(maxWinSize,currentdown(x))@(i*maxWinSize)*((int(maxHoldTime/maxWinSize)-i)<=floor(winSize/maxWinSize)))),_:min )
):max(lastdown);
// winSize = int((holdTime):max(minHoldTime)):dhMeter;
// winSize = int((holdTime/(1+(((((avgLevel-lastdown):max(0)))*dynHold)))):max(minHoldTime)):dhMeter;
winSize = int((holdTime/(1+(((((avgLevel-lastdown):max(0))/dynHoldDiv):pow(dynHoldPow):max(0)*dynHold*dynHoldDiv)))):max(minHoldTime):dhMeter);
block_hold_va(size,block) = _ <: variable,par(i,int(rmsMaxSize/block), integrate(block)@(int(i*block))*(i<floor(size/block))) :> _ with {
// variable = delaysum(size:min(block),block);
variable = @(floor(size/block)*block):delaysum(int(decimal(size/block)*block),block);
};
Yann_hold(x)= slidemin(nrWin,winSize,currentdown(x)) : max(lastdown)
with {
winSize = maxWinSize;
// winSize = ((holdTime/(1+(((((avgLevel-lastdown):max(0))/dynHoldDiv):pow(dynHoldPow):max(0)*dynHold*dynHoldDiv)))):max(minHoldTime):dhMeter);
};
/*attackGRYann = currentdown(x)<:pmin(maxAttackTime)*/
/*with {*/
/*pmin(del,mini,1) = del <: @(1), (mini ,(@(1)*((1/maxAttackTime):attackShaper)) : min);*/
/*pmin(del,mini,k) = del <: @(1), (del,mini:pmin(k-1) ,(@(1)*((k/maxAttackTime):attackShaper)) : min);*/
/*};*/
attackGRYann =
(0,(currentdown(x))@(maxHoldTime-maxAttackTime)):seq(i,maxAttackTime,
(
(_,
(
((_')<:(_,_)):
(
(_ *(((i+1)/maxAttackTime):attackShaper))
,_
)
)
)
:min,_
)
):(_,!);
attackGR =
0: seq(i,maxAttackTime,
(currentdown(x)@(i+1-maxAttackTime+maxHoldTime))*(((i+1)/maxAttackTime):attackShaper),_: min
);
// in theory, attackGRrelative should give lower distortion, since the gain curve is si.smooth.
// neither my ear nor measurements confirm this.
// the non-relative version tkes much less CPU, so can work with a much longer attack-time,
// which does lower distorion (at least for linear attack)
// oddly enough, with minimalStereoLimiter, the both variants use about the same amount of CPU
attackGRrelativeOLD =
(0: seq(i,maxAttackTime,
// ((((currentdown(x)@(i+1-maxAttackTime+maxHoldTime)-lastRel(i))*(((i+1)/maxAttackTime):attackShaperI(i)))+lastRel(i))),_: min
((((currentdown(x)@(i+1-maxAttackTime+maxHoldTime)-lastRel(i))*(((i+1)/maxAttackTime):attackShaper))+lastRel(i)):(_<:((_<lastRel(i) ),_):*)),_: min
// ((((currentdown(x)@(i+1-maxAttackTime+maxHoldTime)-lastRel(i))*(((i+1)/maxAttackTime):attackShaper))+lastRel(i)):(_<:((_<=lastdown),_):*)),_: min
// ((((currentdown(x)@(i+1-maxAttackTime+maxHoldTime)-lastRel(i) )*(((i+1)/maxAttackTime):attackShaper))+lastRel(i))*(currentdown(x)@(i+1-maxAttackTime+maxHoldTime)<lastdown@(i+1))),_: min
// ((((currentdown(x)@(i+1-maxAttackTime+maxHoldTime)-lastRel(i) )*(((i+1)/maxAttackTime):attackShaper))+lastRel(i))*(currentdown(x)@(i+1-maxAttackTime+maxHoldTime)<lastdown)),_: min
// ));
));
attackGRrelativeLin =
(0: seq(i,maxAttackTime,
((((currentdown(x)@(i+1-maxAttackTime+maxHoldTime)-lastRel(i))*(((i+1)/maxAttackTime):attackShaper))+lastRel(i)):(_<:((_<lastRel(i) ),_):*)),_: min
)) with {
lastRel(i) = select2((lastdown<=lastdown'),lastdown,_)~_;
// lastRel(i) = lastdown@(i);
};
attackGRrelative =
(0: seq(i,maxAttackTime,
// ((lastRel(i)+((currentdown(x)@(i+1-maxAttackTime+maxHoldTime))*(((1)/maxAttackTime)))):(_<:((_<lastdown),_):*)),_: min
// ((((currentdown(x)@(i+1-maxAttackTime+maxHoldTime)-lastRel(i))*(((i+1)/maxAttackTime):attackShaper))+lastRel(i)):(_<:((_<lastdown),_):*)),_: min
((((currentdown(x)@(i+1-maxAttackTime+maxHoldTime)-lastdown)*(((i+1)/maxAttackTime):newshape))+lastdown):(_<:((_<lastdown),_):*)),_: min
// ((((((currentdown(x)@(i+1-maxAttackTime+maxHoldTime)-lastdown)*((i+1)/maxAttackTime)/(currentdown(x)@(i+1-maxAttackTime+maxHoldTime)-lastdown):newshape)*(currentdown(x)@(i+1-maxAttackTime+maxHoldTime)-lastdown)))+lastdown):(_<:((_<lastdown),_):*)),_: min
)):min(currentdown(x)@maxHoldTime);
// newshape(s) = ((sin(((s)*ma.PI)-(0.5*ma.PI))+1)/2):pow(1+(attack*40));
add = hslider("add", 0, 0, 1, 0.001)/10;
newshape(s) = s*(attack:pow(10));
// newshape = ((_+add):pow(1+(attack*40)))-(add:pow(1+(attack*40)));
// newshape = _;
// lastRel = select2((currentdown(x)@maxHoldTime)>(currentdown(x)@maxHoldTime+1),0,lastdown)@(-maxAttackTime+maxHoldTime);
// lastRel(i) = 0;
// lastRel(i) = lastdown;
lastRel(i) = lastdown@(i):max(lastdown);
// lastRel(i) = lastdown@(i):max(lastdown);
// lastRel(i) = lastdown@(i-maxAttackTime+maxHoldTime); // stays down
// lastRel(i) = select2((currentdown(x)@(i+1-maxAttackTime+maxHoldTime)<=lastdown),lastdown,_)~_;
// lastRel(i) = select2((currentdown(x)@(-maxAttackTime+maxHoldTime)>=currentdown(x)@(1-maxAttackTime+maxHoldTime)),lastdown,_)~_;
// lastRel = select2(lastdown>(currentdown(x)@maxHoldTime+1),0,lastdown)@(-maxAttackTime+maxHoldTime);
// lastRel = select2((lastdown@(-maxAttackTime+maxHoldTime))<currentdown(x)@(1-maxAttackTime+maxHoldTime),0,lastdown@(-maxAttackTime+maxHoldTime));
attackShaperHalf(fraction)= attackShaperHalf(fraction);
// attackShaperI(i,fraction)= select2(currentdown(x)@(i+1-maxAttackTime+maxHoldTime)>lastdown,attackShaperHalf(fraction),32/maxAttackTime);
attackShaperI(i,fraction)= select2(currentdown(x)@(i+1-maxAttackTime+maxHoldTime)>lastdown,attackShaperHalf(fraction),((attackShaperHalf((fraction*-1)+1)*-1)+1));
// attackShaper(fraction)= select2(currentdown(x)@maxHoldTime>lastdown,attackShaperHalf(fraction),((attackShaperHalf((fraction*-1)+1)*-1)+1));
attackShaper(fraction)= ma.tanh(fraction:pow(attack:attackScale)*(attack*5+.1))/ma.tanh(attack*5+.1);
// attackShaperLookup takes shorter to compile, but uses slightly more cpu than attackShaper, even though the later has a fixed attack shape.
attackShaperLookup(x)= rdtable(maxAttackTime, ( ma.tanh((time/maxAttackTime):pow(attack:attackScale)*(attack*5+.1))/ma.tanh(attack*5+.1)),int(x*maxAttackTime))
with { attack = 1; };
//attackShaper(x)= ma.tanh(x:pow(attack:attackScale)*mult)/ma.tanh(mult);
//attackShaper(x)= x:pow(attack:attackScale);
attackScale(x) = (x+1):pow(7); //from 0-1 to 1-128, just to make the knob fit the aural experience better
};
//ma.tanh(x^(32)*20)/ma.tanh(20)
LookaheadPar(x,lastdown) =
( par(i,maxHoldTime,(((i+1)>(maxHoldTime-holdTime))*(currentdown(x)@(i):max(lastdown)))): seq(j,(log(maxHoldTime)/log(2)),par(k,maxHoldTime/(2:pow(j+1)),min))),
( par(i,maxAttackTime, currentdown(x)@((i+1-maxAttackTime+maxHoldTime):max(0))*(((i+1)/maxAttackTime):attackShaper)): seq(j,(log(maxAttackTime)/log(2)),par(k,maxAttackTime/(2:pow(j+1)),min)))
:min
with {
//attackShaper(x)= x:pow(attack:attackScale);//atan((gainHS+0.0001)*128*x)/atan((gainHS+0.0001)*128);
attackShaper(x)= ma.tanh(x:pow(attack:attackScale)*(attack*5+.1))/ma.tanh(attack*5+.1);
attackScale(x) = (x+1):pow(7); //from 0-1 to 1-128, just to make the knob fit the aural experience better
}
;
// smoothing function, attack coefficient "a", release coefficient "r" and signal x
SMOOTH(a, r, x) =
((x * select2( (x < _), a, r )) +
(_ * (1 - select2( (x < _), a, r)))) ~ (_<:_,_,_);
/*rateLimiter(baserelease,prevx,x) = prevx+newtangent:min(0)*/
/*with {*/
/*newtangent = select2(tangent>0,minus,plus);*/
/*tangent = x- prevx;*/
/*plus = tangent*((abs(avgChange):mymeter*-1):ba.db2linear):min(baserelease);*/
/*minus = tangent;// ba.if you have to go down, you have to go down!*/
/*avgChange = (abs((tangent)-(tangent@1)):integrate(IM_size)*releaseMult:_+1:pow(releasePower)-1)/200:SMOOTH(attackAVG,0.0008):ma.tanh*changeScale;*/
/*//select2(abs(tangent)>maxRate,tangent,maxRate);*/
/*integrate(size,x) = delaysum(size, x)/size;*/
/*delaysum(size) = _ <: par(i,rmsMaxSize, @(i)*(i<size)) :> _;*/
/*};*/
rateLimiter(baserelease,prevx,x) = ((prevx+newtangent):min(0)),avgLevel
with {
newtangent = select2(tangent>0,minus,plus);
tangent = x- prevx;
// this design reacts slower when the AVG is near 0dB GR versus when the AVG is lower, because there is no overshoot then.
//therefore, we have a 24 dB inGain.
// todo: maybe slightly si.smooth the GR curve manually around 0dB GR (probably not needed)
plus = (
(baserelease)*
(1-(((prevx - avgLevel )*((prevx - avgLevel )>0)*(antiPump:pow(2))*4):min(1)))*
(1-(((prevx - avgLevel )*((prevx - avgLevel )<0)*(transientSpeed:pow(2)*100))))
):min(tangent);
//plus = ((tangent*speed):max(baserelease)*(1-(((prevx - avgLevel )*((prevx - avgLevel )>0)*(antiPump:pow(2))):min(1))));
//:min(baserelease)
minus = tangent;// ba.if you have to go down, you have to go down!
speed = abs(select2(prevx<avgLevel,aboveAvg,belowAvg)):min(0.5):mymeter;
avgLevel = prevx:SMOOTH(releaseAVG,attackAVG):avgMeter;
belowAvg = ((abs(x - avgLevel ) )*releaseMult:_+1:pow(releasePower)-1)/200:ma.tanh:pow(transientSpeed);
aboveAvg = 0;
//avgChange = (abs(x-(integrate(IM_size,prevx):SMOOTH(attackAVG,releaseAVG)))*releaseMult:_+1:pow(releasePower)-1)/200:ma.tanh*changeScale;
//select2(abs(tangent)>maxRate,tangent,maxRate);
integrate(size,x) = delaysum(size, x)/size;
delaysum(size) = _ <: par(i,rmsMaxSize, @(i)*(i<size)) :> _;
};
/*rateLimiter(baserelease,prevx,x) = prevx+newtangent:min(0)*/
/*with {*/
/*newtangent = select2(tangent>0,minus,plus);*/
/*tangent = x- prevx;*/
/*plus = tangent*((abs(avgChange):mymeter*-1):ba.db2linear):min(baserelease);*/
/*minus = tangent;// ba.if you have to go down, you have to go down!*/
/*avgChange = (tangent:nrSignChange(IM_size)*releaseMult+1:pow(releasePower)-1)/200:SMOOTH(attackAVG,0.0008):ma.tanh*changeScale;*/
/*//select2(abs(tangent)>maxRate,tangent,maxRate);*/
/*nrSignChange(size) = _ <: par(i,rmsMaxSize, signChange(i,size)) :> _/size;*/
/*//signChange(i,x) = ( ((x@(i)>0) && (x@(i+1)<0)));*/
/*signChange(i,size,x) = ( ((x@(i):max(0)) * (x@(i+1)<=0)) + ((x@(i):min(0)*-1) * (x@(i+1)>0)) ) * (i<size);*/
/*integrate(size,x) = delaysum(size, x)/size;*/
/*delaysum(size) = _ <: par(i,rmsMaxSize, @(i)*(i<size)) :> _;*/
/*};*/
time_ratio_target_atk = 8.0;
time_ratio_attack(t) = exp(1) / ( t * ma.SR * time_ratio_target_atk );
rateLimit = ( rateLimiter(baserelease) ~ (_,!):(_,_));
releaseMult = (hslider("[3]releaseMult[tooltip: ]", 1 , 0, 10 , 0.001)*100);
releasePower = (hslider("[4]releasePower[tooltip: ]", 1, 0, 5 , 0.001));
IM_size = (hslider("[5]IM_size[tooltip: ]",256, 1, rmsMaxSize, 1)*44100/ma.SR); //0.0005 * min(192000.0, max(22050.0, ma.SR));
linearXfade(x,a,b) = a*(1-x),b*x : +;
limiter(x) = (Lookahead(x):releaseEnv(minRelease))~_+(inGain@maxHoldTime):meter:ba.db2linear *x@maxHoldTime;
// gainComputer(x) = (Lookahead(x):releaseEnv(minRelease):rateLimit:(min(currentdown(x)@maxHoldTime),_))~(_,_):(_,!);
// gainComputer(x) = (Lookahead(x):min(currentdown(x)@maxHoldTime))~(_,0);
gainComputer(x) = (Lookahead(x):releaseEnv(minRelease))~(_,0);
// gainComputer(x) = (0:min(currentdown(x)@maxHoldTime));
//:min(currentdown(x)@maxHoldTime)// todo: remove this hack without getting overshoot
//gainComputer(x) = (Lookahead(x):releaseEnv(minRelease)<:(_,rateLimit):linearXfade((link*-1)+1))~_<:(_,rateLimit):linearXfade(link);
//gainComputer(x) = (Lookahead(x)<:(releaseEnv(minRelease),rateLimit):linearXfade(link))~_;
//gainComputer(x) = (Lookahead(x):releaseEnv(minRelease))~_;
stereoGainComputerHalf (x,y,prevy,avgLevely) =
(
((Lookahead(x)<:_,_):((_,(_,((prevy,avgLevely):Lookahead(y)):min)):linearXfade(link)):releaseEnv(minRelease):(rateLimit))
~(si.bus(2))
);
/*(*/
/*(((_,(_,((prevy:Lookahead(y),_):(_,!)):min)):linearXfade(link)):releaseEnv(minRelease):rateLimit)*/
/*~((Lookahead(x)<:_,_),_):(_,!)*/
/*);*/
stereoGainComputer(x,y) = (stereoGainComputerHalf(x,y),stereoGainComputerHalf(y,x))~((ro.cross(2),ro.cross(2)):ro.cross(4)):(_,!,_,!);
//(stereoGainComputerHalf(x,y),stereoGainComputerHalf(y,x))~((_,_ <: !,_,_,!),_);
stereoLimiter(x,y) = (stereoGainComputer(x,y) : (((meter:_+(inGain@maxHoldTime):ba.db2linear)*x@maxHoldTime,((meter:_+(inGain@maxHoldTime):ba.db2linear)*y@maxHoldTime))));
//faust2jaqt -t 999999 -time -sch -vs 4096 -mcd 8192 LazyLimiter.dsp 485.55s
//maxHoldTime = 1024 maxAttackTime = 1024
//jack: 78% CPU
//faust2jaqt -t 999999 -time -sch -vs 2048 -mcd 4096 LazyLimiter.dsp 485.55s
//maxHoldTime = 1024 maxAttackTime = 1024
//jack: 80% CPU
simpleStereoLimiter(x,y) = (((Lookahead(x):releaseEnv(minRelease)),(Lookahead(y):releaseEnv(minRelease))):min)~(_<:(_,_))+(inGain@maxHoldTime):meter:ba.db2linear<:(_*x@maxHoldTime,_*y@maxHoldTime);
//simpleStereoLimiter(x,y) = (LookaheadPar(x),LookaheadPar(y):min:releaseEnv(minRelease))~(_<:(_,_))+(inGain@maxHoldTime):meter:ba.db2linear<:(_*x@maxHoldTime,_*y@maxHoldTime);
//faust2jaqt -t 999999 -time -sch -vs 2048 -mcd 4096 LazyLimiter.dsp
//maxHoldTime = 1024 maxAttackTime = 1024
//jack: 52% CPU 169.49s
//maxHoldTime = 2048 maxAttackTime = 1024
//jack: 52% CPU 485.55s
naiveStereoLimiter(x,y) = ((gainComputer(x),gainComputer(y)):min:meter+(inGain@maxHoldTime):ba.db2linear<:(_*x@maxHoldTime,_*y@maxHoldTime)),((gainComputer(x),gainComputer(y)):par(i, 2, ba.db2linear));
minimalStereoLimiter(x,y) = (gainComputer((abs(x),abs(y)):max):meter+(inGain@maxHoldTime):ba.db2linear<:(_*x@maxHoldTime,_*y@maxHoldTime)),(gainComputer((abs(x),abs(y)):max):ba.db2linear),((((abs(x),abs(y)):max)@maxHoldTime)*ba.db2linear(-18));