(First, thanks, @seb-harmonik.ar for the tip. Really appreciate it.)
Originally I thought of doing this just as sort of challenge, to see if I could get it worked out and thought given the current pantheon of wave generators perhaps we could use another one.
What it does is invert the curvature of the osc~ wave form so in a quadrant of the wavelength where it normally curves down, here it curves up, and vice versa for the other two quadrants of the wave.
(more pics below)
It's accomplished by aligning the original osc~ with two square (phasor~) waves: the first to get the shape right (one wavelength for each quadrant of the original wave (so 4x the freq) and a second square wave to shift the wave up and down in the quadrants that need it.
The help file is setup to allow you to hear the difference between the osc~ and the oscinv~. (Note: if you change on the fly, the table does not write properly (i think (unless someone can tell me otherwise) because of the discrepancy/lag between changing the frequency value and the writing of the table).
The resulting tone is Very different than the original pure osc~ tone and it seems to me it has some sort of resonance(?).
If not usable, I hope you enjoy the thinking that went into it.
(It was a helluva of a lot of fun to work on. *Once I got the sucker! ).
Peace, happy pd-ing to one and all.
p.s. oh, it has one inlet (frequency) and one creation argument (also frequency) and sends out a ~ signal.
p.p.s my thinking is those who make and/or use synths (esp.) might have some use for it.