[JASS] Jump / Arch formula

[Dynasti]

Ok i kinda need a formula to make a unit arch/jump over a distance over a given time.

The variables/info you are given is:

1. real D ( Distance )
2. real A ( Arch )
3. real T ( Time )

I think i need some sort of height increase/decrease formula but dunno realy :S

If you know anything then post below

 

[Shadow Daemon]

Taken from Parabolic Function - Wc3campaigns:

function ParabolaZ takes real h, real d, real x returns real
  return (4 * h / d) * (d - x) * (x / d)
endfunction

This function takes as a parameters the distance that the parabolic movement should move (d) and the maximum height the projectile will flight (h).

So x is a value between 0 and d, and the function will return the height for that value.

- Distance is d in function;
- Arc is probably h (or some fraction of height and distance);
- Time is required for x increment value.

xIncrement is defined by formula Distance * TimerPeriod / Time.

How to use:

globals
  constant real TIMER_PERIOD = .025
  // . . .
endglobals

// . . .

function OnTimer takes nothing returns nothing
  // . . .
  set currentPos = currentPos + xIncrement
  set currentZ = ParabolaZ(maxHeight, maxDist, currentPos)
  // change flying height and doing other stuff...
  // . . .
endfunction

function Actions takes nothing returns nothing
  set maxHeight = 200.
  set maxDist = 1000.
  set maxTime = 5.
  set xIncrement = maxDist * TIMER_PERIOD / maxTime
  // . . .
  call TimerStart(tm, TIMER_PERIOD, true, function OnTimer)
endfunction

 

[Dynasti]

Taken from Parabolic Function - Wc3campaigns:

function ParabolaZ takes real h, real d, real x returns real
  return (4 * h / d) * (d - x) * (x / d)
endfunction

- Distance is d in function;
- Arc is probably h (or some fraction of height and distance);
- Time is required for x increment value.

xIncrement is defined by formula Distance * TimerPeriod / Time.

How to use:

globals
  constant real TIMER_PERIOD = .025
  // . . .
endglobals

// . . .

function OnTimer takes nothing returns nothing
  // . . .
  set currentPos = currentPos + xIncrement
  set currentZ = ParabolaZ(maxHeight, maxDist, currentPos)
  // change flying height and doing other stuff...
  // . . .
endfunction

function Actions takes nothing returns nothing
  set maxHeight = 200.
  set maxDist = 1000.
  set maxTime = 5.
  set xIncrement = maxDist * TIMER_PERIOD / maxTime
  // . . .
  call TimerStart(tm, TIMER_PERIOD, true, function OnTimer)
endfunction

i realy want to avoid using the Parabola func, it bugs sometimes

 

[The Reborn Devil]

vz = (g*t) / 2 vz is the velocity on the z axis, g is gravity (9.81) and t is time.
If you want to add arc you could do a little twist like this: vz = ((g * a) * t) / 2

How to use:

globals
    constant timer t = CreateTimer()
    constant real grav = 9.81
    constant real interval = 0.04
   
    unit u
    real vx
    real vy
    real vz
    real a
    real exec
    real ti
endglobals

function Jump_child takes nothing returns nothing
    local real x1 = GetUnitX(u)
    local real y1 = GetUnitY(u)
    local real z1 = GetUnitFlyHeight(u)
    local real x2 = x1 + vx
    local real y2 = y1 + vy
    local real z2 = z1 + vz
    call SetUnitX(u, x2)
    call SetUnitY(u, y2)
    call SetUnitFlyHeight(u, z2, 0)
    set vz = vz - ((g * a) / exec)
    set time = time - interval
    if time <= 0. then
        set u = null
        call PauseTimer(t)
   endif
endfunction

function Jump takes unit uni, real x1, real y1, real x2, real y2, real time, real arc returns nothing
    set u = uni
    set exec = time / interval
    set vx = (x1 - x2) / exec
    set vy = (y1 - y2) / exec
    set vz = ((g * arc) * t) / 2
    set a = arc
    set ti = time
    call UnitAddAbility(u, 'Amrf')
    call UnitRemoveAbility(u, 'Amrf')
    call TimerStart(t, interval, true, function Jump_child)
endfunction

This is just an example and I think it should work.
If I have any errors, please correct me.

 

[GhostWolf]

Like I already told you in the previous thread:

v0 = (-0.5*a*t+(x - x0)/t)*FPS

v0 - initial velocity
a - acceleration (gravity in your case)
x - final position(maximum height in your case)
x0 - starting position (0 in your case)
t - time to complete the movement
FPS - FPS...

Once you have the initial velocity you just make the height change with it and reduce it every frame by the acceleration (I.E gravity).