Hi Dario,

Ok, I see what you're after now.  (I was considering only the VU meter
display issue up to now.)

There's only 23 bits of mantissa in 32-bit floating point, and your test
counts up to ~100k, which soaks up about 17 bits, and then you hit it with
~1/1024, or 2^(-10), which is then a dynamic range swing of 27 bits.  We
can't add numbers separated by 27 bits of dynamic level using a mantissa
(or integer) smaller than 27 bits.  Yes, double precision will fix that
(52-bit mantissas), but even TIIR methods can't solve this problem.  When
adding x and y, the wordlength must be on the order of at least
|log2(|x|/|y|)|.

The situation is not so dire with a noise input, since it should be zero
mean (and if not, a dcblocker will fix it).  However, the variance of
integrated squared white noise does grow linearly, so TIIR methods are
needed for anything long term, and double-precision allows the TIIR resets
to be much farther separated, and maybe not even needed in a given
application.

Note, by the way (Hey Klaus!), we can simply allocate a 0.4 second delay
line for the sliding mean and be done with all this recursive-filter
dynamic range management.  It can be a pain, but it also can be managed.
That said, 0.4 seconds at 96 kHz is around 15 bits worth
(log2(0.4*96000)=15.2), so single-precision seems to me like enough for a
simple level meter (e.g., having a 3-digit display), given a TIIR reset
every 0.4 seconds.  Since this works out so neatly, I wouldn't be surprised
if 0.4 seconds was chosen for the gated-measurement duration for that
reason.

Cheers,
Julius


On Fri, Jul 9, 2021 at 1:54 PM Dario Sanfilippo <sanfilippo.da...@gmail.com>
wrote:

> Thanks, Julius.
>
> So it appears that the issue I was referring to is in that architecture
> too.
>
> To isolate the problem with ba.slidingMean, we can see that we also get 0
> when transitioning from a constant input of 1 to .001 (see code below).
> Double-precision solves the issue. Perhaps we could advise using DP for
> this function and the others involving it.
>
> Ciao,
> Dario
>
> import("stdfaust.lib");
> lp1p(cf, x) = fi.pole(b, x * (1 - b))
> with {
> b = exp(-2 * ma.PI * cf / ma.SR);
> };
> sig = ba.if(ba.time > ma.SR * 2, .001, 1.0);
> t = .4;
> process = sig <: ba.slidingMean(t * ma.SR) , lp1p(1.0 / t) , ba.time;
>
> On Fri, 9 Jul 2021 at 22:40, Julius Smith <julius.sm...@gmail.com> wrote:
>
>> I get the zero but not the other:
>>
>> octave:2> format long
>> octave:3> faustout(115200,:)
>> ans =
>>
>>                        0  -2.738748490000000e-02   5.555857930000000e-05
>>
>>
>> On Fri, Jul 9, 2021 at 1:03 PM Dario Sanfilippo <
>> sanfilippo.da...@gmail.com> wrote:
>>
>>> Thanks, Julius.
>>>
>>> I don't have Octave installed, and I can't see it myself, sorry; if you
>>> can inspect the generated values, can you also see if at sample #115200
>>> (48 kHz SR) you get 0 for ms_rec, and, 0.000658808684 for the lowpass?
>>>
>>> Yes, I might have done something wrong, but the leaky integrator doesn't
>>> work well.
>>>
>>> Ciao,
>>> Dario
>>>
>>> On Fri, 9 Jul 2021 at 21:49, Julius Smith <julius.sm...@gmail.com>
>>> wrote:
>>>
>>>> Here is a longer run that shows Dario's latest test more completely.
>>>> I don't think zi_leaky looks right at the end, but the other two look
>>>> reasonable to me.
>>>>
>>>> Here is the Octave magic for the plot:
>>>>
>>>>     plot(faustout,'linewidth',2);
>>>>     legend('zi','zi\_leaky','zi\_lp','location','southeast');
>>>>     grid;
>>>>
>>>> I had to edit faust2octave to change the process duration, it's
>>>> hardwired.  Length option needed!  (Right now no options can take an
>>>> argument.)
>>>>
>>>> Cheers,
>>>> - Julius
>>>>
>>>> On Fri, Jul 9, 2021 at 12:01 PM Julius Smith <julius.sm...@gmail.com>
>>>> wrote:
>>>>
>>>>> Hi Dario,
>>>>>
>>>>> I tried your latest test and it looks plausible in faust2octave (see
>>>>> plot attached).
>>>>>
>>>>> TIIR filters present a nice, juicy Faust puzzle :-)
>>>>> I thought about a TIIR sliding average, but haven't implemented
>>>>> anything yet.
>>>>> You basically want to switch between two moving-average filters,
>>>>> clearing the state of the unused one, and bringing it back to steady state
>>>>> before switching it back in.
>>>>> In the case of an.ms_envelope_rect, the switching period can be
>>>>> anything greater than the rectangular-window length (which is the "warm up
>>>>> time" of the moving-average filter).
>>>>>
>>>>> Cheers,
>>>>> - Julius
>>>>>
>>>>> On Fri, Jul 9, 2021 at 10:49 AM Dario Sanfilippo <
>>>>> sanfilippo.da...@gmail.com> wrote:
>>>>>
>>>>>> Dear Julius, I just pulled and installed Faust 2.33.0.
>>>>>>
>>>>>> I'm running the test below on caqt and csvplot and I see the same
>>>>>> problem: when large inputs are fed in an.ms_envelope_rect, small
>>>>>> inputs are truncated to zero afterwards.
>>>>>>
>>>>>> import("stdfaust.lib");
>>>>>> zi = an.ms_envelope_rect(Tg);
>>>>>> slidingSum(n) = fi.pole(.999999) <: _, _@int(max(0,n)) :> -;
>>>>>> slidingMean(n) = slidingSum(n)/rint(n);
>>>>>> zi_leaky(x) = slidingMean(Tg*ma.SR, x * x);
>>>>>> lp1p(cf, x) = fi.pole(b, x * (1 - b))
>>>>>> with {
>>>>>> b = exp(-2 * ma.PI * cf / ma.SR);
>>>>>> };
>>>>>> zi_lp(x) = lp1p(1 / Tg, x * x);
>>>>>> Tg = 0.4;
>>>>>> sig = no.noise * ba.if(ba.time > ma.SR * 2, .01, 1.0);
>>>>>> process = sig <: zi , zi_leaky , zi_lp , ba.time;
>>>>>>
>>>>>> I'll look into TIIR filters or have you already implemented those in
>>>>>> Faust?
>>>>>>
>>>>>> Ciao,
>>>>>> Dr Dario Sanfilippo
>>>>>> http://dariosanfilippo.com
>>>>>>
>>>>>>
>>>>>> On Thu, 8 Jul 2021 at 19:19, Julius Smith <julius.sm...@gmail.com>
>>>>>> wrote:
>>>>>>
>>>>>>> Hi Dario,
>>>>>>>
>>>>>>> The problem seems to be architecture-dependent.  I am on a Mac
>>>>>>> (latest non-beta software) using faust2caqt.  What are you using?
>>>>>>>
>>>>>>> I do not see the "strange behavior" you describe.
>>>>>>>
>>>>>>> Your test looks good for me in faust2octave, with gain set to 0.01
>>>>>>> (-40 dB, which triggers the display bug on my system).  In Octave,
>>>>>>>  faustout(end,:) shows
>>>>>>>
>>>>>>>  -44.744  -44.968  -44.708
>>>>>>>
>>>>>>> which at first glance seems close enough for noise input and
>>>>>>> slightly different averaging windows.  Changing the signal to a constant
>>>>>>> 0.01, I get
>>>>>>>
>>>>>>>  -39.994  -40.225  -40.000
>>>>>>>
>>>>>>> which is not too bad, but which should probably be sharpened up.
>>>>>>> The third value (zi_lp) is right on, of course.
>>>>>>>
>>>>>>> gain = 0.01; // hslider("Gain [unit:dB]",-70,-70,0,0.1) :
>>>>>>> ba.db2linear;
>>>>>>> sig = gain;  //sig = no.noise * gain;
>>>>>>>
>>>>>>> On Thu, Jul 8, 2021 at 3:53 AM Dario Sanfilippo <
>>>>>>> sanfilippo.da...@gmail.com> wrote:
>>>>>>>
>>>>>>>> Hi, Julius.
>>>>>>>>
>>>>>>>> I must be missing something, but I couldn't see the behaviour that
>>>>>>>> you described, that is, the gating behaviour happening only for the 
>>>>>>>> display
>>>>>>>> and not for the output.
>>>>>>>>
>>>>>>>> If a remove the hbargraph altogether, I can still see the strange
>>>>>>>> behaviour. Just so we're all on the same page, the strange behaviour 
>>>>>>>> we're
>>>>>>>> referring to is the fact that, after going back to low input gains, the
>>>>>>>> displayed levels are -inf instead of some low, quantifiable ones,
>>>>>>>> right?
>>>>>>>>
>>>>>>>> Using a leaky integrator makes the calculations rather inaccurate.
>>>>>>>> I'd say that, if one needs to use single-precision, averaging with a
>>>>>>>> one-pole lowpass would be best:
>>>>>>>>
>>>>>>>> import("stdfaust.lib");
>>>>>>>> zi = an.ms_envelope_rect(Tg);
>>>>>>>> slidingSum(n) = fi.pole(.999999) <: _, _@int(max(0,n)) :> -;
>>>>>>>> slidingMean(n) = slidingSum(n)/rint(n);
>>>>>>>> zi_leaky(x) = slidingMean(Tg*ma.SR, x * x);
>>>>>>>> lp1p(cf, x) = fi.pole(b, x * (1 - b))
>>>>>>>> with {
>>>>>>>> b = exp(-2 * ma.PI * cf / ma.SR);
>>>>>>>> };
>>>>>>>> zi_lp(x) = lp1p(1 / Tg, x * x);
>>>>>>>> Tg = 0.4;
>>>>>>>> sig = no.noise * gain;
>>>>>>>> gain = hslider("Gain [unit:dB]",-70,-70,0,0.1) : ba.db2linear;
>>>>>>>> level = ba.linear2db : *(0.5);
>>>>>>>> process = sig <: level(zi) , level(zi_leaky) , level(zi_lp);
>>>>>>>>
>>>>>>>> Ciao,
>>>>>>>> Dr Dario Sanfilippo
>>>>>>>> http://dariosanfilippo.com
>>>>>>>>
>>>>>>>>
>>>>>>>> On Thu, 8 Jul 2021 at 00:39, Julius Smith <julius.sm...@gmail.com>
>>>>>>>> wrote:
>>>>>>>>
>>>>>>>>> > I think that the problem is in an.ms_envelope_rect, particularly
>>>>>>>>> the fact that it has a non-leaky integrator. I assume that when large
>>>>>>>>> values recirculate in the integrator, the smaller ones, after pushing 
>>>>>>>>> the
>>>>>>>>> gain down, are truncated to 0 due to single-precision. As a matter of 
>>>>>>>>> fact,
>>>>>>>>> compiling the code in double precision looks fine here.
>>>>>>>>>
>>>>>>>>> I just took a look and see that it's essentially based on + ~ _ :
>>>>>>>>> (_ - @(rectWindowLenthSamples))
>>>>>>>>> This will indeed suffer from a growing roundoff error variance
>>>>>>>>> over time (typically linear growth).
>>>>>>>>> However, I do not see any noticeable effects of this in my testing
>>>>>>>>> thus far.
>>>>>>>>> To address this properly, we should be using TIIR filtering
>>>>>>>>> principles ("Truncated IIR"), in which two such units pingpong and
>>>>>>>>> alternately reset.
>>>>>>>>> Alternatively, a small exponential decay can be added: + ~
>>>>>>>>> *(0.999999) ... etc.
>>>>>>>>>
>>>>>>>>> - Julius
>>>>>>>>>
>>>>>>>>> On Wed, Jul 7, 2021 at 12:32 PM Dario Sanfilippo <
>>>>>>>>> sanfilippo.da...@gmail.com> wrote:
>>>>>>>>>
>>>>>>>>>> I think that the problem is in an.ms_envelope_rect, particularly
>>>>>>>>>> the fact that it has a non-leaky integrator. I assume that when large
>>>>>>>>>> values recirculate in the integrator, the smaller ones, after 
>>>>>>>>>> pushing the
>>>>>>>>>> gain down, are truncated to 0 due to single-precision. As a matter 
>>>>>>>>>> of fact,
>>>>>>>>>> compiling the code in double precision looks fine here.
>>>>>>>>>>
>>>>>>>>>> Ciao,
>>>>>>>>>> Dr Dario Sanfilippo
>>>>>>>>>> http://dariosanfilippo.com
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> On Wed, 7 Jul 2021 at 19:25, Stéphane Letz <l...@grame.fr> wrote:
>>>>>>>>>>
>>>>>>>>>>> « hargraph seems to have some kind of a gate in it that kicks in
>>>>>>>>>>> around -35 dB. » humm…. hargraph/vbargrah only keep the last value 
>>>>>>>>>>> of their
>>>>>>>>>>> written FAUSTFLOAT* zone, so once per block, without any processing 
>>>>>>>>>>> of
>>>>>>>>>>> course…
>>>>>>>>>>>
>>>>>>>>>>> Have you looked at the produce C++ code?
>>>>>>>>>>>
>>>>>>>>>>> Stéphane
>>>>>>>>>>>
>>>>>>>>>>> > Le 7 juil. 2021 à 18:31, Julius Smith <julius.sm...@gmail.com>
>>>>>>>>>>> a écrit :
>>>>>>>>>>> >
>>>>>>>>>>> > That is strange - hbargraph seems to have some kind of a gate
>>>>>>>>>>> in it that kicks in around -35 dB.
>>>>>>>>>>> >
>>>>>>>>>>> > In this modified version, you can hear that the sound is ok:
>>>>>>>>>>> >
>>>>>>>>>>> > import("stdfaust.lib");
>>>>>>>>>>> > Tg = 0.4;
>>>>>>>>>>> > zi = an.ms_envelope_rect(Tg);
>>>>>>>>>>> > gain = hslider("Gain [unit:dB]",-10,-70,0,0.1) : ba.db2linear;
>>>>>>>>>>> > sig = no.noise * gain;
>>>>>>>>>>> > process = attach(sig, (sig : zi : ba.linear2db : *(0.5) :
>>>>>>>>>>> hbargraph("test",-70,0)));
>>>>>>>>>>> >
>>>>>>>>>>> > On Wed, Jul 7, 2021 at 12:59 AM Klaus Scheuermann <
>>>>>>>>>>> kla...@posteo.de> wrote:
>>>>>>>>>>> > Hi all,
>>>>>>>>>>> > I did some testing and
>>>>>>>>>>> >
>>>>>>>>>>> > an.ms_envelope_rect()
>>>>>>>>>>> >
>>>>>>>>>>> > seems to show some strange behaviour (at least to me). Here is
>>>>>>>>>>> a video
>>>>>>>>>>> > of the test:
>>>>>>>>>>> > https://cloud.4ohm.de/s/64caEPBqxXeRMt5
>>>>>>>>>>> >
>>>>>>>>>>> > The audio is white noise and the testing code is:
>>>>>>>>>>> >
>>>>>>>>>>> > import("stdfaust.lib");
>>>>>>>>>>> > Tg = 0.4;
>>>>>>>>>>> > zi = an.ms_envelope_rect(Tg);
>>>>>>>>>>> > process = _ : zi : ba.linear2db : hbargraph("test",-95,0);
>>>>>>>>>>> >
>>>>>>>>>>> > Could you please verify?
>>>>>>>>>>> >
>>>>>>>>>>> > Thanks, Klaus
>>>>>>>>>>> >
>>>>>>>>>>> >
>>>>>>>>>>> >
>>>>>>>>>>> > On 05.07.21 20:16, Julius Smith wrote:
>>>>>>>>>>> > > Hmmm, '!' means "block the signal", but attach should save
>>>>>>>>>>> the bargraph
>>>>>>>>>>> > > from being optimized away as a result.  Maybe I
>>>>>>>>>>> misremembered the
>>>>>>>>>>> > > argument order to attach?  While it's very simple in
>>>>>>>>>>> concept, it can be
>>>>>>>>>>> > > confusing in practice.
>>>>>>>>>>> > >
>>>>>>>>>>> > > I chose not to have a gate at all, but you can grab one from
>>>>>>>>>>> > > misceffects.lib if you like.  Low volume should not give
>>>>>>>>>>> -infinity,
>>>>>>>>>>> > > that's a bug, but zero should, and zero should become MIN as
>>>>>>>>>>> I mentioned
>>>>>>>>>>> > > so -infinity should never happen.
>>>>>>>>>>> > >
>>>>>>>>>>> > > Cheers,
>>>>>>>>>>> > > Julius
>>>>>>>>>>> > >
>>>>>>>>>>> > >
>>>>>>>>>>> > > On Mon, Jul 5, 2021 at 10:39 AM Klaus Scheuermann <
>>>>>>>>>>> kla...@posteo.de
>>>>>>>>>>> > > <mailto:kla...@posteo.de>> wrote:
>>>>>>>>>>> > >
>>>>>>>>>>> > >     Cheers Julius,
>>>>>>>>>>> > >
>>>>>>>>>>> > >
>>>>>>>>>>> > >
>>>>>>>>>>> > >     At least I understood the 'attach' primitive now ;)
>>>>>>>>>>> Thanks.
>>>>>>>>>>> > >
>>>>>>>>>>> > >
>>>>>>>>>>> > >
>>>>>>>>>>> > >     This does not show any meter here...
>>>>>>>>>>> > >     process(x,y) = x,y <: (_,_), attach(x, (Lk2 :
>>>>>>>>>>> vbargraph("LUFS",-90,0)))
>>>>>>>>>>> > >     : _,_,!;
>>>>>>>>>>> > >
>>>>>>>>>>> > >     But this does for some reason (although the output is
>>>>>>>>>>> 3-channel then):
>>>>>>>>>>> > >     process(x,y) = x,y <: (_,_), attach(x, (Lk2 :
>>>>>>>>>>> vbargraph("LUFS",-90,0)))
>>>>>>>>>>> > >     : _,_,_;
>>>>>>>>>>> > >
>>>>>>>>>>> > >     What does the '!' do?
>>>>>>>>>>> > >
>>>>>>>>>>> > >
>>>>>>>>>>> > >
>>>>>>>>>>> > >     I still don't quite get the gating topic. In my
>>>>>>>>>>> understanding, the meter
>>>>>>>>>>> > >     should hold the current value if the input signal drops
>>>>>>>>>>> below a
>>>>>>>>>>> > >     threshold. In your version, the meter drops to -infinity
>>>>>>>>>>> when very low
>>>>>>>>>>> > >     volume content is played.
>>>>>>>>>>> > >
>>>>>>>>>>> > >     Which part of your code does the gating?
>>>>>>>>>>> > >
>>>>>>>>>>> > >     Many thanks,
>>>>>>>>>>> > >     Klaus
>>>>>>>>>>> > >
>>>>>>>>>>> > >
>>>>>>>>>>> > >
>>>>>>>>>>> > >     On 05.07.21 18:06, Julius Smith wrote:
>>>>>>>>>>> > >     > Hi Klaus,
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     > Yes, I agree the filters are close enough.  I bet that
>>>>>>>>>>> the shelf is
>>>>>>>>>>> > >     > exactly correct if we determined the exact transition
>>>>>>>>>>> frequency, and
>>>>>>>>>>> > >     > that the Butterworth highpass is close enough to the
>>>>>>>>>>> > >     Bessel-or-whatever
>>>>>>>>>>> > >     > that is inexplicably not specified as a filter type,
>>>>>>>>>>> leaving it
>>>>>>>>>>> > >     > sample-rate dependent.  I would bet large odds that
>>>>>>>>>>> the differences
>>>>>>>>>>> > >     > cannot be reliably detected in listening tests.
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     > Yes, I just looked again, and there are "gating
>>>>>>>>>>> blocks" defined,
>>>>>>>>>>> > >     each Tg
>>>>>>>>>>> > >     > = 0.4 sec long, so that only ungated blocks are
>>>>>>>>>>> averaged to form a
>>>>>>>>>>> > >     > longer term level-estimate.  What I wrote gives a
>>>>>>>>>>> "sliding gating
>>>>>>>>>>> > >     > block", which can be lowpass filtered further, and/or
>>>>>>>>>>> gated, etc.
>>>>>>>>>>> > >     > Instead of a gate, I would simply replace 0 by
>>>>>>>>>>> ma.EPSILON so that the
>>>>>>>>>>> > >     > log always works (good for avoiding denormals as well).
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     > I believe stereo is supposed to be handled like this:
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     > Lk2 = _,0,_,0,0 : Lk5;
>>>>>>>>>>> > >     > process(x,y) = Lk2(x,y);
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     > or
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     > Lk2 = Lk(0),Lk(2) :> 10 * log10 : -(0.691);
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     > but since the center channel is processed identically
>>>>>>>>>>> to left
>>>>>>>>>>> > >     and right,
>>>>>>>>>>> > >     > your solution also works.
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     > Bypassing is normal Faust, e.g.,
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     > process(x,y) = x,y <: (_,_), attach(x, (Lk2 :
>>>>>>>>>>> > >     vbargraph("LUFS",-90,0)))
>>>>>>>>>>> > >     > : _,_,!;
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     > Cheers,
>>>>>>>>>>> > >     > Julius
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     > On Mon, Jul 5, 2021 at 1:56 AM Klaus Scheuermann <
>>>>>>>>>>> kla...@posteo.de
>>>>>>>>>>> > >     <mailto:kla...@posteo.de>
>>>>>>>>>>> > >     > <mailto:kla...@posteo.de <mailto:kla...@posteo.de>>>
>>>>>>>>>>> wrote:
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     >     > I can never resist these things!   Faust makes
>>>>>>>>>>> it too
>>>>>>>>>>> > >     enjoyable :-)
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     >     Glad you can't ;)
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     >     I understood you approximate the filters with
>>>>>>>>>>> standard faust
>>>>>>>>>>> > >     filters.
>>>>>>>>>>> > >     >     That is probably close enough for me :)
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     >     I also get the part with the sliding window
>>>>>>>>>>> envelope. If I
>>>>>>>>>>> > >     wanted to
>>>>>>>>>>> > >     >     make the meter follow slowlier, I would just widen
>>>>>>>>>>> the window
>>>>>>>>>>> > >     with Tg.
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     >     The 'gating' part I don't understand for lack of
>>>>>>>>>>> mathematical
>>>>>>>>>>> > >     knowledge,
>>>>>>>>>>> > >     >     but I suppose it is meant differently. When the
>>>>>>>>>>> input signal
>>>>>>>>>>> > >     falls below
>>>>>>>>>>> > >     >     the gate threshold, the meter should stay at the
>>>>>>>>>>> current
>>>>>>>>>>> > >     value, not drop
>>>>>>>>>>> > >     >     to -infinity, right? This is so 'silent' parts are
>>>>>>>>>>> not taken into
>>>>>>>>>>> > >     >     account.
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     >     If I wanted to make a stereo version it would be
>>>>>>>>>>> something like
>>>>>>>>>>> > >     >     this, right?
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     >     Lk2 = par(i,2, Lk(i)) :> 10 * log10 : -(0.691);
>>>>>>>>>>> > >     >     process = _,_ : Lk2 : vbargraph("LUFS",-90,0);
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     >     Probably very easy, but how do I attach this to a
>>>>>>>>>>> stereo
>>>>>>>>>>> > >     signal (passing
>>>>>>>>>>> > >     >     through the stereo signal)?
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     >     Thanks again!
>>>>>>>>>>> > >     >     Klaus
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     > I made a pass, but there is a small scaling
>>>>>>>>>>> error.  I think
>>>>>>>>>>> > >     it can be
>>>>>>>>>>> > >     >     > fixed by reducing boostFreqHz until the
>>>>>>>>>>> sine_test is nailed.
>>>>>>>>>>> > >     >     > The highpass is close (and not a source of the
>>>>>>>>>>> scale error),
>>>>>>>>>>> > >     but I'm
>>>>>>>>>>> > >     >     > using Butterworth instead of whatever they used.
>>>>>>>>>>> > >     >     > I glossed over the discussion of "gating" in the
>>>>>>>>>>> spec, and
>>>>>>>>>>> > >     may have
>>>>>>>>>>> > >     >     > missed something important there, but
>>>>>>>>>>> > >     >     > I simply tried to make a sliding rectangular
>>>>>>>>>>> window, instead
>>>>>>>>>>> > >     of 75%
>>>>>>>>>>> > >     >     > overlap, etc.
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     > If useful, let me know and I'll propose it for
>>>>>>>>>>> analyzers.lib!
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     > Cheers,
>>>>>>>>>>> > >     >     > Julius
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     > import("stdfaust.lib");
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     > // Highpass:
>>>>>>>>>>> > >     >     > // At 48 kHz, this is the right highpass filter
>>>>>>>>>>> (maybe a
>>>>>>>>>>> > >     Bessel or
>>>>>>>>>>> > >     >     > Thiran filter?):
>>>>>>>>>>> > >     >     > A48kHz = ( /* 1.0, */ -1.99004745483398,
>>>>>>>>>>> 0.99007225036621);
>>>>>>>>>>> > >     >     > B48kHz = (1.0, -2.0, 1.0);
>>>>>>>>>>> > >     >     > highpass48kHz = fi.iir(B48kHz,A48kHz);
>>>>>>>>>>> > >     >     > highpass = fi.highpass(2, 40); // Butterworth
>>>>>>>>>>> highpass:
>>>>>>>>>>> > >     roll-off is a
>>>>>>>>>>> > >     >     > little too sharp
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     > // High Shelf:
>>>>>>>>>>> > >     >     > boostDB = 4;
>>>>>>>>>>> > >     >     > boostFreqHz = 1430; // a little too high - they
>>>>>>>>>>> should give
>>>>>>>>>>> > >     us this!
>>>>>>>>>>> > >     >     > highshelf = fi.high_shelf(boostDB, boostFreqHz);
>>>>>>>>>>> // Looks
>>>>>>>>>>> > >     very close,
>>>>>>>>>>> > >     >     > but 1 kHz gain has to be nailed
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     > kfilter = highshelf : highpass;
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     > // Power sum:
>>>>>>>>>>> > >     >     > Tg = 0.4; // spec calls for 75% overlap of
>>>>>>>>>>> successive
>>>>>>>>>>> > >     rectangular
>>>>>>>>>>> > >     >     > windows - we're overlapping MUCH more (sliding
>>>>>>>>>>> window)
>>>>>>>>>>> > >     >     > zi = an.ms_envelope_rect(Tg); // mean square:
>>>>>>>>>>> average power =
>>>>>>>>>>> > >     >     energy/Tg
>>>>>>>>>>> > >     >     > = integral of squared signal / Tg
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     > // Gain vector Gv = (GL,GR,GC,GLs,GRs):
>>>>>>>>>>> > >     >     > N = 5;
>>>>>>>>>>> > >     >     > Gv = (1, 1, 1, 1.41, 1.41); // left GL(-30deg),
>>>>>>>>>>> right GR
>>>>>>>>>>> > >     (30), center
>>>>>>>>>>> > >     >     > GC(0), left surround GLs(-110), right surr.
>>>>>>>>>>> GRs(110)
>>>>>>>>>>> > >     >     > G(i) = *(ba.take(i+1,Gv));
>>>>>>>>>>> > >     >     > Lk(i) = kfilter : zi : G(i); // one channel,
>>>>>>>>>>> before summing
>>>>>>>>>>> > >     and before
>>>>>>>>>>> > >     >     > taking dB and offsetting
>>>>>>>>>>> > >     >     > LkDB(i) = Lk(i) : 10 * log10 : -(0.691); // Use
>>>>>>>>>>> this for a mono
>>>>>>>>>>> > >     >     input signal
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     > // Five-channel surround input:
>>>>>>>>>>> > >     >     > Lk5 = par(i,5,Lk(i)) :> 10 * log10 : -(0.691);
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     > // sine_test = os.oscrs(1000); // should give
>>>>>>>>>>> –3.01 LKFS, with
>>>>>>>>>>> > >     >     > GL=GR=GC=1 (0dB) and GLs=GRs=1.41 (~1.5 dB)
>>>>>>>>>>> > >     >     > sine_test = os.osc(1000);
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     > process = sine_test : LkDB(0); // should read
>>>>>>>>>>> -3.01 LKFS -
>>>>>>>>>>> > >     high-shelf
>>>>>>>>>>> > >     >     > gain at 1 kHz is critical
>>>>>>>>>>> > >     >     > // process = 0,sine_test,0,0,0 : Lk5; // should
>>>>>>>>>>> read -3.01
>>>>>>>>>>> > >     LKFS for
>>>>>>>>>>> > >     >     > left, center, and right
>>>>>>>>>>> > >     >     > // Highpass test: process = 1-1' <: highpass,
>>>>>>>>>>> highpass48kHz;
>>>>>>>>>>> > >     // fft in
>>>>>>>>>>> > >     >     > Octave
>>>>>>>>>>> > >     >     > // High shelf test: process = 1-1' : highshelf;
>>>>>>>>>>> // fft in Octave
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     > On Sat, Jul 3, 2021 at 1:08 AM Klaus Scheuermann
>>>>>>>>>>> > >     <kla...@posteo.de <mailto:kla...@posteo.de>
>>>>>>>>>>> > >     >     <mailto:kla...@posteo.de <mailto:kla...@posteo.de
>>>>>>>>>>> >>
>>>>>>>>>>> > >     >     > <mailto:kla...@posteo.de <mailto:
>>>>>>>>>>> kla...@posteo.de>
>>>>>>>>>>> > >     <mailto:kla...@posteo.de <mailto:kla...@posteo.de>>>>
>>>>>>>>>>> wrote:
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     >     Hello everyone :)
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     >     Would someone be up for helping me implement
>>>>>>>>>>> an LUFS
>>>>>>>>>>> > >     loudness
>>>>>>>>>>> > >     >     analyser
>>>>>>>>>>> > >     >     >     in faust?
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     >     Or has someone done it already?
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     >     LUFS (aka LKFS) is becoming more and more
>>>>>>>>>>> the standard for
>>>>>>>>>>> > >     >     loudness
>>>>>>>>>>> > >     >     >     measurement in the audio industry. Youtube,
>>>>>>>>>>> Spotify and
>>>>>>>>>>> > >     broadcast
>>>>>>>>>>> > >     >     >     stations use the concept to normalize
>>>>>>>>>>> loudness. A very
>>>>>>>>>>> > >     >     positive side
>>>>>>>>>>> > >     >     >     effect is, that loudness-wars are basically
>>>>>>>>>>> over.
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     >     I looked into it, but my programming skills
>>>>>>>>>>> clearly
>>>>>>>>>>> > >     don't match
>>>>>>>>>>> > >     >     >     the level for implementing this.
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     >     Here is some resource about the topic:
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     >     https://en.wikipedia.org/wiki/LKFS
>>>>>>>>>>> > >     <https://en.wikipedia.org/wiki/LKFS>
>>>>>>>>>>> > >     >     <https://en.wikipedia.org/wiki/LKFS
>>>>>>>>>>> > >     <https://en.wikipedia.org/wiki/LKFS>>
>>>>>>>>>>> > >     >     <https://en.wikipedia.org/wiki/LKFS
>>>>>>>>>>> > >     <https://en.wikipedia.org/wiki/LKFS>
>>>>>>>>>>> > >     >     <https://en.wikipedia.org/wiki/LKFS
>>>>>>>>>>> > >     <https://en.wikipedia.org/wiki/LKFS>>>
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     >     Specifications (in Annex 1):
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >
>>>>>>>>>>> https://www.itu.int/dms_pubrec/itu-r/rec/bs/R-REC-BS.1770-3-201208-S!!PDF-E.pdf
>>>>>>>>>>> > >     <
>>>>>>>>>>> https://www.itu.int/dms_pubrec/itu-r/rec/bs/R-REC-BS.1770-3-201208-S!!PDF-E.pdf
>>>>>>>>>>> >
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >      <
>>>>>>>>>>> https://www.itu.int/dms_pubrec/itu-r/rec/bs/R-REC-BS.1770-3-201208-S!!PDF-E.pdf
>>>>>>>>>>> > >     <
>>>>>>>>>>> https://www.itu.int/dms_pubrec/itu-r/rec/bs/R-REC-BS.1770-3-201208-S!!PDF-E.pdf
>>>>>>>>>>> >>
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >       <
>>>>>>>>>>> https://www.itu.int/dms_pubrec/itu-r/rec/bs/R-REC-BS.1770-3-201208-S!!PDF-E.pdf
>>>>>>>>>>> > >     <
>>>>>>>>>>> https://www.itu.int/dms_pubrec/itu-r/rec/bs/R-REC-BS.1770-3-201208-S!!PDF-E.pdf
>>>>>>>>>>> >
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >      <
>>>>>>>>>>> https://www.itu.int/dms_pubrec/itu-r/rec/bs/R-REC-BS.1770-3-201208-S!!PDF-E.pdf
>>>>>>>>>>> > >     <
>>>>>>>>>>> https://www.itu.int/dms_pubrec/itu-r/rec/bs/R-REC-BS.1770-3-201208-S!!PDF-E.pdf
>>>>>>>>>>> >>>
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     >     An implementation by 'klangfreund' in JUCE /
>>>>>>>>>>> C:
>>>>>>>>>>> > >     >     >     https://github.com/klangfreund/LUFSMeter
>>>>>>>>>>> > >     <https://github.com/klangfreund/LUFSMeter>
>>>>>>>>>>> > >     >     <https://github.com/klangfreund/LUFSMeter
>>>>>>>>>>> > >     <https://github.com/klangfreund/LUFSMeter>>
>>>>>>>>>>> > >     >     >     <https://github.com/klangfreund/LUFSMeter
>>>>>>>>>>> > >     <https://github.com/klangfreund/LUFSMeter>
>>>>>>>>>>> > >     >     <https://github.com/klangfreund/LUFSMeter
>>>>>>>>>>> > >     <https://github.com/klangfreund/LUFSMeter>>>
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     >     There is also a free LUFS Meter in JS /
>>>>>>>>>>> Reaper by
>>>>>>>>>>> > >     Geraint Luff.
>>>>>>>>>>> > >     >     >     (The code can be seen in reaper, but I don't
>>>>>>>>>>> know if I
>>>>>>>>>>> > >     should
>>>>>>>>>>> > >     >     paste it
>>>>>>>>>>> > >     >     >     here.)
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     >     Please let me know if you are up for it!
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     >     Take care,
>>>>>>>>>>> > >     >     >     Klaus
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     >
>>>>>>>>>>>  _______________________________________________
>>>>>>>>>>> > >     >     >     Faudiostream-users mailing list
>>>>>>>>>>> > >     >     >     Faudiostream-users@lists.sourceforge.net
>>>>>>>>>>> > >     <mailto:Faudiostream-users@lists.sourceforge.net>
>>>>>>>>>>> > >     >     <mailto:Faudiostream-users@lists.sourceforge.net
>>>>>>>>>>> > >     <mailto:Faudiostream-users@lists.sourceforge.net>>
>>>>>>>>>>> > >     >     >     <mailto:
>>>>>>>>>>> Faudiostream-users@lists.sourceforge.net
>>>>>>>>>>> > >     <mailto:Faudiostream-users@lists.sourceforge.net>
>>>>>>>>>>> > >     >     <mailto:Faudiostream-users@lists.sourceforge.net
>>>>>>>>>>> > >     <mailto:Faudiostream-users@lists.sourceforge.net>>>
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >
>>>>>>>>>>> https://lists.sourceforge.net/lists/listinfo/faudiostream-users
>>>>>>>>>>> > >     <
>>>>>>>>>>> https://lists.sourceforge.net/lists/listinfo/faudiostream-users>
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >      <
>>>>>>>>>>> https://lists.sourceforge.net/lists/listinfo/faudiostream-users
>>>>>>>>>>> > >     <
>>>>>>>>>>> https://lists.sourceforge.net/lists/listinfo/faudiostream-users
>>>>>>>>>>> >>
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >       <
>>>>>>>>>>> https://lists.sourceforge.net/lists/listinfo/faudiostream-users
>>>>>>>>>>> > >     <
>>>>>>>>>>> https://lists.sourceforge.net/lists/listinfo/faudiostream-users>
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >      <
>>>>>>>>>>> https://lists.sourceforge.net/lists/listinfo/faudiostream-users
>>>>>>>>>>> > >     <
>>>>>>>>>>> https://lists.sourceforge.net/lists/listinfo/faudiostream-users
>>>>>>>>>>> >>>
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     >
>>>>>>>>>>> > >     >     > --
>>>>>>>>>>> > >     >     > "Anybody who knows all about nothing knows
>>>>>>>>>>> everything" --
>>>>>>>>>>> > >     Leonard
>>>>>>>>>>> > >     >     Susskind
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     >
>>>>>>>>>>> > >     > --
>>>>>>>>>>> > >     > "Anybody who knows all about nothing knows everything"
>>>>>>>>>>> -- Leonard
>>>>>>>>>>> > >     Susskind
>>>>>>>>>>> > >
>>>>>>>>>>> > >
>>>>>>>>>>> > >
>>>>>>>>>>> > > --
>>>>>>>>>>> > > "Anybody who knows all about nothing knows everything" --
>>>>>>>>>>> Leonard Susskind
>>>>>>>>>>> >
>>>>>>>>>>> >
>>>>>>>>>>> > --
>>>>>>>>>>> > "Anybody who knows all about nothing knows everything" --
>>>>>>>>>>> Leonard Susskind
>>>>>>>>>>> > _______________________________________________
>>>>>>>>>>> > Faudiostream-users mailing list
>>>>>>>>>>> > Faudiostream-users@lists.sourceforge.net
>>>>>>>>>>> >
>>>>>>>>>>> https://lists.sourceforge.net/lists/listinfo/faudiostream-users
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>> _______________________________________________
>>>>>>>>>>> Faudiostream-users mailing list
>>>>>>>>>>> Faudiostream-users@lists.sourceforge.net
>>>>>>>>>>> https://lists.sourceforge.net/lists/listinfo/faudiostream-users
>>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>
>>>>>>>>> --
>>>>>>>>> "Anybody who knows all about nothing knows everything" -- Leonard
>>>>>>>>> Susskind
>>>>>>>>>
>>>>>>>>
>>>>>>>
>>>>>>> --
>>>>>>> "Anybody who knows all about nothing knows everything" -- Leonard
>>>>>>> Susskind
>>>>>>>
>>>>>>
>>>>>
>>>>> --
>>>>> "Anybody who knows all about nothing knows everything" -- Leonard
>>>>> Susskind
>>>>>
>>>>
>>>>
>>>> --
>>>> "Anybody who knows all about nothing knows everything" -- Leonard
>>>> Susskind
>>>>
>>>
>>
>> --
>> "Anybody who knows all about nothing knows everything" -- Leonard Susskind
>>
>

-- 
"Anybody who knows all about nothing knows everything" -- Leonard Susskind
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