Extracting rotation from an entity matrix

[franck22000]

Hello, what is the way to get the correct rotation of an entity only by knowing the entity matrix.

 

What are the correct calculations to extract this ?

 

Note: i would like a solution that does not involve creating a pivot and setting the matrix to the pivot and use the entityrotation() command to get the rotation.

 

Thanks !

[Canardia]

heading = atan(m01/m00)

bank = atan(m12/m22)

attitude = asin(-m02)

[macklebee]

that's not the full story as it doesn't take into account gimbal lock and the Attitude (Y) is inversed in LE.

 

 

X = math.atan(mat.jz/mat.kz) * (180/math.pi)

Y = math.asin(mat.iz) * (180/math.pi)

Z = math.atan(mat.iy/mat.ix) * (180/math.pi)

 

the above essentially only works in LE when:

X is between -90 and 90 with very low values for Y&Z

Y is between -90 and 90 with very low values for X&Z

and Z is between -90 and 90 with very low values for X&Y

 

there is more information about this from the place mika copied this from: http://www.opengl.or...l=1#post1135896

 

which has a link to here: http://www.euclidean...Euler/index.htm