Robin Gareus
6f755c3c02
Exponential approach to zero:
1 / exp(t) == exp (-t)
we "stretch" it by a time-constant "c":
gain(t) = exp (-t * c)
To find the time t, at which the exponential approach reaches gain "g":
exp (-c * t) = g
take the log of both sides: log (exp (-c * t) = log (g)
since log (exp (x)) == x : -c t = log (g)
divide by -c : t = -log (g) / c
set g = 1e-5 and c = _a/sr and we get: t = -log (1e-5) / (_a/sr)
The iterative approach using g += c * (target_gain - g);
converges faster than the exact exp() calculation.
Except with 32-bit float, if target-gain is 1.0f and "c" is small.
With 32bit float (1.0 - 1e-5) = .9999900 is represented as
sign: +1 | mantissa: 0x7fff58 | exponent: 126
there are only 126 "steps" to 1.0. Rounding of the lowest
mantissa bit does matter. We have to assume worst-case,
and increase the required loop_fade_length buffersize.
vs. approaching 0, where there are over 2^110 steps between
zero and 1e-5.
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| doc | ||
| export | ||
| gtk2_ardour | ||
| headless | ||
| libs | ||
| mcp | ||
| midi_maps | ||
| msvc_extra_headers | ||
| MSVCardour3 | ||
| MSVCMixbus3 | ||
| MSVCvst_scan | ||
| nutemp | ||
| osc | ||
| osc_interfaces/touchosc | ||
| patches | ||
| patchfiles | ||
| plugin_metadata | ||
| scripts | ||
| session_utils | ||
| templates | ||
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| us2400 | ||
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| COPYING | ||
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| README-GITHUB.txt | ||
| system_config | ||
| testfile.flac | ||
| testfile.ogg | ||
| TRANSLATORS | ||
| waf | ||
| wscript | ||
Please see the Ardour web site at http://ardour.org/ for all documentation..
For information on building ardour:
http://ardour.org/development.html