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Exponentially grow then stop
I made this expression to make a square rotate faster and faster and then stop accelerating when it got to a certain speed (b).
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t = Math.exp(time);
b = time*50;Math.min(t, b);
////////////////////////problem is when it gets to the constant speed and the Math.min switches over to b, the rotation speed seems to not only stop accelerating but slow down quite a bit. What is wrong with this expression? I swear I did this before in a very simple way using Math.min and it worked.
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3 Replies
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Your expression just switches from an exponential increase to a linear one where the two lines intersect. What do you want it to do?
Dan
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I want it to maintain the rotation speed it has when they intersect, so that when it switches from the exponential increase to the linear one, the increase is at the rate that the exponential was when the switched.
Imagine a fan turning on, it has to keep accelerating then once it gets there it maintains that speed.
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Is there any reason you want to use that linear line to define the time to switch to linear?
If you just wanted to specify the time to switch, you could do it like this:
tSwitch = 6.6;
if (time < tSwitch)
Math.exp(time)
else
Math.exp(tSwitch)*(1 + time - tSwitch)
Or, if you want to specify the maximum speed, you could do this:
maxSpeed = 735;
tSwitch = Math.log(maxSpeed);
if (time < tSwitch)
Math.exp(time)
else
maxSpeed*(1 + time - tSwitch)
Dan
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