[JASS] Math Formula

[Dynasti]

( the quotes are for unknown or of someway of explaining )

Ok you all know the spell Impale( wc3 ). And the Impale buff, the one that hits the units and sends them up into the sky.

I need a formula to calculate something( i dont really know )

It's like a Jump, just with no arch and no movement, just the height change. Starts fast( because of the thrust ) and with higher velocities you get higher "thrusts". The unit slows down when going up due to the gravity and when the "speed( or sum ) is at 0 it starts to drop. The "loop" will end( it will stop moving ) when it has landed on the ground.

For all of you Jass and vJass users i think you would understand better if i would show you some calls and variables

function Thrust takes unit u, real v, real t returns nothing

u = Unit
v = Velocity
t = Time it takes

So it is some sort of formula that calculates height after how many / what it has done.

Gravity variable is in this, " G ". So the real ' v ' is affected by the gravity.

The unit's height is changed every interval " I ".

 

[Anachron]

Have you ever heared of a parabula? Its something like that.

If you want the correct impale formula.. I doubt anyone knows it.

When I am at home I can check what I have, I have so many formulars but I need to find the right one

 

[Dynasti]

Have you ever heared of a parabula? Its something like that.

If you want the correct impale formula.. I doubt anyone knows it.

When I am at home I can check what I have, I have so many formulars but I need to find the right one

Dont need a parabola, not a jump over a distance, more like a jump/impale on the spot

 

[Anachron]

Its something like time/2 * height /maxtime... aah damn =/

 

[Mooglefrooglian]

I dont think its a parabola. Parabolas involve archs.

Why not just make a knockback function and replace changing X and Y with height? And you would have to cancel it not when it reaches 0, but when its lower then the * -1 of your original velocity, no?

 

[GhostWolf]

Every iteration you set the unit's height to its value plus the velocity and you reduce gravity from the velocity

h = h + v
v = v - g

You can of course use the real qoutation

x = x0 + v0 * t + 1/2 * (at * at)

But I can't really see any reason to do that.

 

[Dynasti]

Every iteration you set the unit's height to its value plus the velocity and you reduce gravity from the velocity

h = h + v
v = v - g

You can of course use the real qoutation

x = x0 + v0 * t + 1/2 * (at * at)

But I can't really see any reason to do that.

What is " at "?

 

[GhostWolf]

accleration * time

 

[Paladon]

Use sine.

 

[Dynasti]

accleration * time

Ok, but could you explain the math stuff you gave?

x = x0 + v0 * t + 1/2 * (at * at)

x = Height?

and x0 is Start height?

v0?

a? Maybe velocity

Use sine.

?

 

[Paladon]

>.<
Sine(0)=0
Sine(90)=1
Got it?

 

[Dynasti]

>.<
Sine(0)=0
Sine(180)=1
Got it?

no Sine is Number / 180? but how can that help me?

 

[Paladon]

You´ve never seen that function haven´t you?^^
Check this, it uses that.

 

[Soga-]

What GhostWolf means is that you just set an initial velocity for the unit, then:

1) add velocity to height
2) subtract a gravity constant from your velocity
3) stop when height is at most 0 (I use "at most" because I like to play it safe).

Note, of course, this means you must initially change the height -before- checking if height is at most 0, otherwise it won't even make the jump.

EDIT: Or, of course, you could use the sine function to change the unit's height as the post above says. That would work too, just take the maximum height you want the unit to jump up to and then multiply that by sin (t*constant) where

t = time (seconds, perhaps?)
constant = adjusts the rate at which height changes.

Stop when t*constant hits 180.

>.<
Sine(0)=0
Sine(180)=1
Got it?

No, Sin(90)=1.

 

[The Reborn Devil]

Sinus(sin) is a mathematical function like cosinus(cos) and tangens(tan) and it gives you numbers from -1 to 1, just like cosinus. Tangens works different. Cosinus and Sinus is useful when dealing with coordinates (I'm not so good with tangens). Example use of Sin and Cos:

function example takes unit u, real velocity, real angle returns nothing
    local vx = velocity * Cos(angle)
    local vy = velocity * Sin(angle)
    local real x1 = GetUnitX(u)
    local real y1 = GetUnitY(u)
    local real x2
    local real y2
    loop
        set x2 = x1 + vx
        set y2 = y1 + vy
        call SetUnitX(u, x2)
        call SetUnitY(u, y2)
        set x1 = x2
        set y1 = y2
    endloop
endfunction

This is not a great example, but I think it helps explain. Remember: Sinus and Cosinus uses radians instead of degrees.

 

[Paladon]

No, Sin(90)=1.

Ups, sry

 

[Soga-]

Oh yeah, that does remind me - convert t*constants to radians.

 

[Yixx]

a = m/s²
a = speed increase every s timeinterval,,
on earth, the speed increase is 9,81 m/s²

Wait a sec, im looking for my fysics book now ^^

EDIT:
Found it!
s = distance
a = speed increase (dunno how to say in english)
t = time

s = 0,5 * v * t
When you are falling, your speed increases every 't' in secs by 'a'
So, sec 1, you fall out of a plane, your speed is 50 m/s
sec 2 = 59,81 m/s
sec 3 = 69,62 m/s
(i thought so)

Hope i helped you ^^

P.S. If i read it wrong, and you dont mean falling down, then dont even think about what i said^^ xD