How could I possibly make a sound speed up gradually, such that the old time
progression to new time progression graph would form a parabola, rather than
a flat line segment or group of line segments?
That is, how would I generate a wave with the equation
sin(f_0*t^2)
Where '_0' should be read as a subscripted '0', or fnought, for initial
frequency?
Is there any way I can possibly implement general functions of 't', as it
were, in a generated tone? For instance, if I wanted to make a tone that
draws updown alternating semiellipses, if I could do it this way I could
apply the equation
x^2 + t^2 = 1 => t = sqrt(1  x^2)
to building it....
Do I have to rip it apart and tinker with the samples iteratively to do
these things?
If so, what would be the most efficient way to go about this? The most
important thing to me for now at least is to be able to make an accelerating
sine wave, or sin(t^2) wave specifically.

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