EULER RzRyRz METHOD
The following algorithm generates angles Rz1, Ry, and Rz2, such that
rotate z <Rz1>; rotate y <Ry>; rotate z <Rz2>
reproduces the current view.
m<x><y> are matrix elements of the current Jmol transformation matrix.
Ry=acos(m22)
if(m22==-1||m22==1){
Rz1=atan2(m10,m11)
Rz2=0
}else{
Rz1=atan2(m21,-m20)
Rz2=atan2(m12,m02)
}
this logic pushes all the rotation into Rz1 when Ry=0 or Ry=180
------------------------------------------------------------------
RxRyRz METHOD
The following algorithm generates angles Rx, Ry, and Rz, such that
rotate x <Rx>; rotate y <Ry>; rotate z <Rz>
reproduces the current view.
m<x><y> are matrix elements of the current Jmol transformation matrix.
Ry=-asin(m20)
if(m20==-1||m20==1){
Rx=-atan2(m12,m11)
Rz=0
}else{
Rx=atan2(m21,m22)
Rz=atan2(m10,m00)
}
this logic pushes all the rotation into Rx when Ry=+/-90
Spreadsheet random input validation is at
http://www.stolaf.edu/people/hansonr/jmol/test/transform.xls
Bob Hanson
--
Robert M. Hanson, [EMAIL PROTECTED], 507-646-3107
Professor of Chemistry, St. Olaf College 1520 St. Olaf Ave., Northfield, MN 55057
mailto:[EMAIL PROTECTED] http://www.stolaf.edu/people/hansonr
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