On Mon, 18 Jul 2005, matthew jones wrote:
In a mathematical proof this coefficient is equal to 1 exactly, although this is an IIR filter on the LIMIT of stability and with floating point arithmetic it should rather be set to 0.999999999.
With Pd floats this number doesn't exist and thus gets rounded to 1, which is just as bad.
1 - 2^24 = 0.999999940395355 is the biggest number smaller than one.
with 64-bit floats (not used in Pd) it's instead 1 - 2^53.
the constants 24 and 53 are always one more than the number of significant _binary_ digits in that format. (the number of significant _decimal_ digits is 3.332 smaller than that)
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