How Long is a Piece of String? Clever Dood Needed!
I have a maths problem.
My program is rendering a sine wave of the form:
y = oy + (ay * SIN(ax * x))
So in ASCII art it looks like :
Here's my problem. I want to calculate the path length of the wave. Furthermore, I want to calculate the path length traversed from starting point (0, 0) to some point on the x axis.
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In otherwords, if we draw the axes on the ground using inches as our dimensions. Then laid out a piece of string in the shape of the sine wave. How long does the string need to be to reach a distince x along the x-axis from the origin?
I believe this problem is solvable with cantenary equations, but my maths is upto scratch with these.