Bots and Simulations > DNA - General

How can you approximate sin-1?

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Botsareus:

--- Code: ---cond
start
*.xpos 33 cos add *.ypos 33 sin sub angle debugint
stop
end

--- End code ---

PwaPwaPwaPwaaaaown  :P

edit:


--- Code: ---Private Sub Form_Load()
Dim ang As Double
ang = 1.1
'MsgBox Sin(ang) & " " & Cos(ang)
'MsgBox (Sin(ang) ^ 2 + Cos(ang) ^ 2) ^ 0.5
'MsgBox Sin(ang) & " " & (1 - Cos(ang) ^ 2) ^ 0.5

'MsgBox Atn(Sin(ang) / ((1 - Sin(ang) ^ 2) ^ 0.5))

mysin = Sin(ang)

'MsgBox Atn(Sin(ang) / ((1 - Sin(ang) ^ 2) ^ 0.5))

yo = 0.5

MsgBox Atn(yo / ((1 - yo ^ 2) ^ 0.5))
End Sub


--- End code ---

MysticalDumpling:

--- Quote from: Shadowgod2 on May 01, 2014, 11:39:50 PM ---i can't help but notice that the equation doesn't factor in the vel of any bot as far as i can tell. this could help.

--- End quote ---

I know. I made a new formula. And *.refvelscalar is sprinkled through both equations.

MysticalDumpling:
My new formula in DB
If Nums is right an arccos ~= 1, then

--- Code: ---1600   *.refxpos *.refypos angle mult 2 pow *.refvelscalar 2 pow add *.refxpos *.refypos angle *.refvelscalar mult 2 mult *.refaim *.aim sub cos mult 40 *.refvelscalar mult div 2 pow *.refxpos *.refypos angle 2 pow add 1600   *.refxpos *.refypos angle mult 2 pow *.refvelscalar 2 pow add *.refxpos *.refypos angle *.refvelscalar mult 2 mult *.refaim *.aim sub cos mult 40 *.refvelscalar mult div*.refvelscalar mult 2 pow 80 ]1600   *.refxpos *.refypos angle mult 2 pow *.refvelscalar 2 pow add *.refxpos *.refypos angle *.refvelscalar mult 2 mult *.refaim *.aim sub cos mult 40 *.refvelscalar mult div 2 pow mult 2 *.refxpos *.refypos angle mult mult div 
--- End code ---
Otherwise, it has to be

--- Code: ---22 14 div 1600   *.refxpos *.refypos angle mult 2 pow *.refvelscalar 2 pow add *.refxpos *.refypos angle *.refvelscalar mult 2 mult *.refaim *.aim sub cos mult 40 *.refvelscalar mult div 2 pow *.refxpos *.refypos angle 2 pow add 1600   *.refxpos *.refypos angle mult 2 pow *.refvelscalar 2 pow add *.refxpos *.refypos angle *.refvelscalar mult 2 mult *.refaim *.aim sub cos mult 40 *.refvelscalar mult div*.refvelscalar mult 2 pow 80 ]1600   *.refxpos *.refypos angle mult 2 pow *.refvelscalar 2 pow add *.refxpos *.refypos angle *.refvelscalar mult 2 mult *.refaim *.aim sub cos mult 40 *.refvelscalar mult div 2 pow mult 2 *.refxpos *.refypos angle mult mult div sub 1600   *.refxpos *.refypos angle mult 2 pow *.refvelscalar 2 pow add *.refxpos *.refypos angle *.refvelscalar mult 2 mult *.refaim *.aim sub cos mult 40 *.refvelscalar mult div 2 pow *.refxpos *.refypos angle 2 pow add 1600   *.refxpos *.refypos angle mult 2 pow *.refvelscalar 2 pow add *.refxpos *.refypos angle *.refvelscalar mult 2 mult *.refaim *.aim sub cos mult 40 *.refvelscalar mult div*.refvelscalar mult 2 pow 80 ]1600   *.refxpos *.refypos angle mult 2 pow *.refvelscalar 2 pow add *.refxpos *.refypos angle *.refvelscalar mult 2 mult *.refaim *.aim sub cos mult 40 *.refvelscalar mult div 2 pow mult 2 *.refxpos *.refypos angle mult mult div 3 pow 6 div sub
--- End code ---
Acck. I hate reverse polish with equations like this. I probably misplaced something imp.  :wacko:


Now, how to use the darn thing....
vector math sounds like a good idea.

MysticalDumpling:
While I was typing that post, a conversation happened in real time. I have never seen anything like it before...

Shadowgod2:
it happens :P

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