[Math] Curve Path

[~GaLs~]

The red dot is my hero.
Blue cross is my dummy.

How do I change my dummy's position according to the black path?
What's the formula to use?
Any snippets around?

 

[DrEvil]

You would need to to have 1 array for dummy's and 1 for angle offset's .

Each tick , you should decrease the distance then increase the angle's :

function tick ...
   local data d = GetTimerData(...)
   local integer i = 0 // d.da = dummy angle // d.d = dummy
   loop   // d.distance = dist // d.x/y = caster x/y
      exitwhen i > 4
      set d.da<i> = d.da<i> + 5 // working in degrees here
      call SetUnitX(d.d<i>,d.x+d.distance*Cos(d.da<i>*bj_DEGTORAD))
      call SetUnitY(d.d<i>,d.y+d.distance*Sin(d.da<i>*bj_DEGTORAD))
      set i = i + 1
   endloop
   set d.distance = d.distance - 5
endfunction</i></i></i></i></i></i>

That should make a kind of spiralling circle , though youd need to set d.distance to the max range at first.
And set d.da[0-4] to there respective angles first ( 0 , 72 , 144 , 216 , 288 )

 

[~GaLs~]

Huh HUh??..
I'm blured.
Maybe some demo map? Please...?

I'm really stupid in mathematic calculations.

 

[DrEvil]

Here :

more spirals = less distance decrease

slower spirals = lower angle increase

( for the above , its vice'versa )

the best model i could find in a suitable time