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<H2><A ID="SECTION0011105000000000000000">
Order of execution in non-recirculating delay lines</A>
</H2>
<P>
In non-recirculating delay networks, it should be possible to place the
operation of writing into the delay line earlier in the sequence than that
of reading it. There should thus be no lower limit on the length of the
delay line (except whatever is imposed by the interpolation scheme; see
Section <A HREF="node113.html#sect7-fractional">7.7</A>). In languages such as Csound, the sequence
of unit generator computation is (mostly) explicit, so this is easy to
specify. In graphical patching environments, however, the order is
implicit and another approach must be taken to ensuring that, for example,
a <TT>delwrite~</TT> object is computed before the corresponding
<TT>delread~</TT> object. One way of accomplishing this is shown in example
G05.execution.order.pd (Figure <A HREF="#fig07.28">7.28</A>).
<P>
<DIV ALIGN="CENTER"><A ID="fig07.28"></A><A ID="8410"></A>
<TABLE>
<CAPTION ALIGN="BOTTOM"><STRONG>Figure 7.28:</STRONG>
Using subpatches to ensure that delay lines are written before they
are read in non-recirculating networks:
(a) the <TT>delwrite~</TT> and <TT>vd~</TT> objects might be executed in either
the "right" or the "wrong" order; (b) the <TT>delwrite~</TT> object is inside the
<TT>pd delay-writer</TT>
subpatch and the <TT>vd~</TT> object is inside the <TT>pd delay-reader</TT> one.
Because of the audio connection between the two subpatches, the order of
execution of the read/write pair is forced to be the correct one.</CAPTION>
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<P>
In part (a) of the figure, the connections in the patch do not determine which
order the two delay operations appear in the sorted sequence of tilde object
computation; the <TT>delwrite~</TT> object could be computed either before or
after the <TT>vd~</TT> object. If we wish to make sure the writing operation
happens before the reading operation, we can proceed as in part (b) of the
figure and put the two operations in subpatches, connecting the two via
audio signals so that the first subpatch must be computed before the
second one. (Audio computation in subpatches is done atomically, in the sense
that the entire subpatch contents are considered as the audio computation for
the subpatch as a whole. So everything in the one subpatch happens before
anything in the second one.)
<P>
In this example, the "right"
and the "wrong" way to make the comb filter have audibly different results.
For delays less than 64 samples, the right hand side of the patch (using
subpatches) gives the correct result, but the left hand side can't produce
delays below the 64 sample block size.
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<ADDRESS>
Miller Puckette
2006-12-30
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