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/usr/lib/puredata/extra/complex-mod~-help.pd is in puredata-extra 0.46.7-3.

This file is owned by root:root, with mode 0o644.

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#N canvas 136 85 600 480 12;
#X graph graph1 0 -1 882 1 279 209 579 39;
#X array mod-output 882 float;
#X pop;
#X msg 84 256 bang \; pd dsp 1;
#X floatatom 67 56;
#X obj 67 186 complex-mod~;
#X obj 67 84 phasor~ 440;
#X obj 67 115 cos~;
#X obj 106 138 cos~;
#X obj 106 114 -~ 0.25;
#X floatatom 145 152;
#X text 93 351 The complex modulator takes two signals in which it considers to be the real and imaginary part of a complex-valued signal. It then does a complex multiplication by a sinusoud to shift all frequencies up or down by any frequency shift in Hz. See also hilbert~.;
#X obj 69 298 tabwrite~ mod-output;
#X text 149 204 right outlet;
#X text 151 220 gives the other;
#X text 149 236 sideband;
#X connect 1 0 10 0;
#X connect 2 0 4 0;
#X connect 3 0 10 0;
#X connect 4 0 5 0;
#X connect 4 0 7 0;
#X connect 5 0 3 0;
#X connect 6 0 3 1;
#X connect 7 0 6 0;
#X connect 8 0 3 2;