Mod Tool/Scripting

Math

Euler rotation -> matrix

function cosn (n)
	cosn = cos(XSIMath.DegreesToRadians(n))
end function
function sinn (n)
	sinn = sin(XSIMath.DegreesToRadians(n))
end function

' ################
logmessage "input"
x = 60 : logmessage x
y = 60 : logmessage y
z = 60 : logmessage z

logmessage "##################"
logmessage "converted"

set RotMatX = XSIMath.CreateMatrix3(1, 0, 0, 0, cosn(x), sinn(x), 0, -sinn(x), cosn(x))
set RotMatY = XSIMath.CreateMatrix3(cosn(y), 0, -sinn(y), 0, 1, 0, sinn(y), 0, cosn(y))
set RotMatZ = XSIMath.CreateMatrix3(cosn(z), sinn(z), 0, -sinn(z), cosn(z), 0, 0, 0, 1)

RotMatZ.MulInPlace RotMatY
RotMatZ.MulInPlace RotMatX

for i=0 to 2
	for j=0 to 2
		logmessage RotMatZ (i, j)
	next
next 

' INFO : input
' INFO : 60
' INFO : 60
' INFO : 60
' INFO : ##################
' INFO : converted
' INFO : 0,25
' INFO : 0,808012701892219
' INFO : 0,53349364905389
' INFO : -0,433012701892219
' INFO : -0,399519052838329
' INFO : 0,808012701892219
' INFO : 0,866025403784439
' INFO : -0,433012701892219
' INFO : 0,25

Matrix -> Euler rotation

Function Atan2(y, x)
  If x > 0 Then
    Atan2 = Atn(y / x)
  ElseIf x < 0 Then
    Atan2 = Sgn(y) * (XSIMath.PI - Atn(Abs(y / x)))
  ElseIf y = 0 Then
    Atan2 = 0
  Else
    Atan2 = Sgn(y) * XSIMath.PI / 2
  End If
End Function


function ToEuler(M00, M10, M20, M21, M22)
            a = M00
            b = M10
            dim c, s, r

            if b = 0 then
                c = Sgn(a)
                s = 0
                r = Abs(a)

            elseif a = 0 then
                c = 0
                s = Sgn(b)
                r = Abs(b)
                
            elseif Abs(b) > Abs(a) then
                t = a / b
                u = Sgn(b) * Sqr(1 + t * t)
                s = 1 / u
                c = s * t
                r = b * u

            else
                t = b / a
                u = Sgn(a) * Sqr(1 + t * t)
                c = 1 / u
                s = c * t
                r = a * u

	    end if

            Z = -Atan2(s, c)
            Y = Atan2(M20, r)
            X = -Atan2(M21, M22)

	    X = XSIMath.RadiansToDegrees(X)
	    Y = XSIMath.RadiansToDegrees(Y)
	    Z = XSIMath.RadiansToDegrees(Z)

	    ToEuler = array(X, Y, Z)
end function

' ################################
set RotMat = XSIMath.CreateMatrix3( _
		0.25, 0.808012701892219, 0.53349364905389, _
		-0.433012701892219, -0.399519052838329, 0.808012701892219, _
		0.866025403784439, -0.433012701892219, 0.25 )


' convert matrix to euler rotation and store values to array
ReXYZ = ToEuler(RotMat(0,0), RotMat(1,0), RotMat(2,0), RotMat(2,1), RotMat(2,2))

logmessage "reconverted"
logmessage ReXYZ(0)
logmessage ReXYZ(1)
logmessage ReXYZ(2)

' INFO : 60
' INFO : 60
' INFO : 60

Euler rotation -> quaternion

dim x, y, z, dRotation, qRotation
x = 90
y = 0
z = 0

set dRotation = XSIMath.CreateRotation(XSIMath.DegreesToRadians(x), XSIMath.DegreesToRadians(y), XSIMath.DegreesToRadians(z)) 
set qRotation = XSIMath.CreateQuaternion() 

	dRotation.GetQuaternion (qRotation) 
	LogMessage qRotation.W
	LogMessage qRotation.X
	LogMessage qRotation.Y
	LogMessage qRotation.Z
	' INFO : 0,707106781186548
	' INFO : 0,707106781186547
	' INFO : 0
	' INFO : 0

' to calculate oni quaternions from euler rotations use this setup:
' 	LogMessage qRotation.X
'	LogMessage qRotation.Y
'	LogMessage qRotation.Z
'	LogMessage qRotation.W * -1

Quaternion -> Euler rotation

dim qW, qX, qY, qZ, qRotation, x, y, z

	qW = 0.707106781186548
	qX = 0.707106781186547
	qY = 0
	qZ = 0

set qRotation = XSIMath.CreateQuaternion (qW, qX , qY, qZ)

	qRotation.GetXYZAngleValues x, y, z
	logmessage XSIMath.RadiansToDegrees(x)
	logmessage XSIMath.RadiansToDegrees(y)
	logmessage XSIMath.RadiansToDegrees(z)
	' INFO : 89,9999999999999
	' INFO : 0
	' INFO : 0

' to calculate euler rotations from oni quaternions use this setup:
	'qX = ...
	'qY = ...
	'qZ = ...
	'qW = ... * -1
'set qRotation = XSIMath.CreateQuaternion (qW, qX, qY, qZ)