Finding Orientation

[ericnail]

Finding Orientation.

Okay, So for a math project, I am trying to do this with Autoit:

I am given the coordinates of three locations (A, B, and C) on an XY plane (2D), and I have to find the orientation of A. I am essentially trying to create a calculator via AutoIt where I can input coordinates and find the orientation.

Here's how I'm going to play this out in the presentation:

I am assuming the Coords are GPS Coords, and the Locations (A,B,C) are Vehicles. Vehicle A (Location A) is going to crash into either B or C and the system (Theoretical, My Script) is attempting to find which vehicle, B or C, is going to be struck based on the orientation of Vehicle A.

Here's what I have so far (But i dont know if it's right):

I have to calculate the vectors between locations B and A, and C and A. Then I have to find the angle between those vectors and the X axis, compare the angle's to the orientation of Location A and the closest match will most likely be the Vehicle about to be struck.

i'm trying this:

$alpha = ACos(($Tx-$Mx)/(Sqrt(($Tx-$Mx)^2 + ($Ty-$My)^2)))

If ($Ty-$My) < 0 Then
   $alpha *= -1
Endif

With V1 = T1 - M1 (Ax,Ay = coordinates of the A Location, Bx,By = coordinates of the B Location) and V2 = X-Axis = [1,0]

So Basically, can someone help me find the orientation of these points.

[Melba23]

ericnail,

This should get you started:

; Insert coords = [X, Y]
Global $aA[2] = [10, 20]
Global $aB[2] = [30, 30]
Global $aC[2] = [20, 10]

; Calculate angles relative to x-axis
$nAB = _CalcAngle($aA, $aB)
ConsoleWrite("Angle A-B = " & $nAB & @CRLF)

$nAC = _CalcAngle($aA, $aC)
ConsoleWrite("Angle A-C = " & $nAC & @CRLF)

Func _CalcAngle($a1, $a2)
    $nRadAngle = ATan(($a2[1] - $a1[1]) / ($a2[0] - $a1[0]))
    Return $nRadAngle * 180 / (4 * ATan(1))
EndFunc

I presume you have a value for the "orientation" of A, so all you have to do is compare it to the results.

M23

[ericnail]

ericnail,

This should get you started:

; Insert coords = [X, Y]
Global $aA[2] = [10, 20]
Global $aB[2] = [30, 30]
Global $aC[2] = [20, 10]

; Calculate angles relative to x-axis
$nAB = _CalcAngle($aA, $aB)
ConsoleWrite("Angle A-B = " & $nAB & @CRLF)

$nAC = _CalcAngle($aA, $aC)
ConsoleWrite("Angle A-C = " & $nAC & @CRLF)

Func _CalcAngle($a1, $a2)
    $nRadAngle = ATan(($a2[1] - $a1[1]) / ($a2[0] - $a1[0]))
    Return $nRadAngle * 180 / (4 * ATan(1))
EndFunc

I presume you have a value for the "orientation" of A, so all you have to do is compare it to the results.

M23

WOW!

Thank you!

I have been trying to get it to work for hrs. I was about to give up!

[Melba23]

ericnail,

My pleasure.

When you reply please use the "Add Reply" button at the top and bottom of the page rather then the "Reply" button in the post itself. That way you do not get the contents of the previous post quoted in your reply and the whole thread becomes easier to read.

M23