Now we have a laser sight for artillery/grenades(?).
You are a genius.

Yes we do. Although it only works with a single weapon because it needs the gun's FireVelocity.

Could work with grenades at least.
Right?
Couldn't you just make it so that it changes the fire velocity by how long the fire button is held?

sorry you're still not using a riemann sum, just integrals

dominated



wow you're hard

the rest of us have already done that

Yes, but that would still need the min and max throw velocities to work, and they are grenade specific.
Edit:

The difference between a Riemann sum and an integral is the fact that an integral is a Riemann sum where the upper limit of the summation approaches infinity. If you were to try to write a function for an integral, in Lua, with an infinite number of sums, then you would have an infinite loop.

Instead, you have to approximate the integration by defining a finite number for the summation's upper limit. The higher the upper limit, the more accurate the approximation. Which means you would have a Riemann sum. ♥♥♥♥, how could you have passed Calc 1 without knowing this?

Sweet.
Does it do bounces?
Like banking a grenade off of a wall.

Nope. And I can't be assed to go through all that trouble since it wouldn't work anyways with CC's collisions.

if you try to write a function for any approximation with an infinite number as accuracy you're going to get an infinite loop

sorry but there's no point arguing when you're just going to red herring left and right

point is that you're not going to use the area acquired by calculating the Riemann sum in plotting a trajectory, you're going to use points on a line

Hopefully that is easier for you to understand, as it doesn't involve a bit of calculus.

That is what i just said:



Apparently, you forgot one important fact about the area. The area under a velocity curve gives the net displacement that occurred on the interval [a,b]. You can easily vectorize this displacement into x and y and then add them, as a vector, to the initial position, thereby giving you "points on a line".

Consider this example, involving the given velocity curve v(t):

In the above picture, the total area s(t) is calculated by adding up the areas* of equally spaced intervals (deltaX) from x = a to eventually x = b. Each sum given by v(Xi)*deltaX gives an area that represents the approximate displacement that will occur between a and Xi (note that Xi represents some point in time, not position). Therefore, each value of Xi (X1, X2,...,X6,X7) can be used to calculate a position of a respective laser sight dot (dot 1, dot 2,...,dot 6, dot 7). Just add the calculated displacements (in vector form) to the position of the Actor.

I honestly cannot see how you cannot understand this simple concept . Yes, you can plot a trajectory using a Riemann Sum.

*Yes, I do realize that I accidentally left out the part of the boxes over the curve in the picture. Since the sum uses right endpoints the actual calculated area would be an overestimation.

As much as I know you guys are having a great time quibbling, probably the easiest technique for estimating a trajectory is to just simulate CC's physics. Do a for loop, adding the gravity to the velocity and then adding the velocity, divided by 3, to the position.
Also, cookie to whoever figures out why the velocity has to be divided by 3 for this to work. I still haven't figured it out, but it was the only number that worked. Try storing an object's last position and finding the difference between that and its current position - it is always a third of the object's velocity, give or take a few decimals.

You divide by 3 to get the average.

Average among what? Never mind. I've argued enough for one thread

Sounds like CC's rate of sim updates per visible frame.

That or some shenanigans with the run rate of Lua compared to the engine.