def glob2Elem(self, a, coords):
a_bar = empty(a.shape)
R = eye(9)
crd = zeros(shape=(2, 2))
crd[0, :] = coords[0, :]
crd[1, :] = coords[2, :]
R[:2, :2] = getRotationMatrix(crd)
R[6:8, 6:8] = R[:2, :2]
a_bar = dot(R, a)
return a_bar
def glob2Elem( self , a , coords ):
a_bar = empty( a.shape )
R = eye( 9)
crd = zeros( shape=(2,2) )
crd[0,:] = coords[0,:]
crd[1,:] = coords[2,:]
R[:2,:2] = getRotationMatrix( crd )
R[6:8,6:8] = R[:2,:2]
a_bar = dot( R , a )
return a_bar
def elem2Glob(self, a_bar, coords):
a = empty(a_bar.shape)
R = eye(9)
crd = zeros(shape=(2, 2))
crd[0, :] = coords[0, :]
crd[1, :] = coords[2, :]
R[:2, :2] = getRotationMatrix(crd)
R[6:8, 6:8] = R[:2, :2]
if len(a_bar.shape) == 1:
a = dot(R.transpose(), a_bar)
elif len(a_bar.shape) == 2:
a = dot(R.transpose(), dot(a_bar, R))
return a
def elem2Glob( self , a_bar , coords ):
a = empty( a_bar.shape )
R = eye( 9)
crd = zeros( shape=(2,2) )
crd[0,:] = coords[0,:]
crd[1,:] = coords[2,:]
R[:2,:2] = getRotationMatrix( crd )
R[6:8,6:8] = R[:2,:2]
if len(a_bar.shape) == 1:
a = dot( R.transpose() , a_bar )
elif len(a_bar.shape) == 2:
a = dot( R.transpose(), dot ( a_bar , R ) )
return a
def toElementCoordinates( self , a , coords ):
a_bar = empty( a.shape )
R = eye( 9)
crd = zeros( shape=(2,2) )
#crd[:,0] = coords[:,0]
#crd[:,1] = coords[:,2]
crd[0,:] = coords[0,:]
crd[1,:] = coords[2,:]
R[:2,:2] = getRotationMatrix( crd )
R[3:5,3:5] = R[:2,:2]
R[6:8,6:8] = R[:2,:2]
a_bar = dot( R , a )
return a_bar
def toGlobalCoordinates( self , a_bar , coords ):
a = empty( a_bar.shape )
R = eye( 9)
crd = zeros( shape=(2,2) )
#crd[:,0] = coords[:,0]
#crd[:,1] = coords[:,2]
crd[0,:] = coords[0,:]
crd[1,:] = coords[2,:]
R[:2,:2] = getRotationMatrix( crd )
R[3:5,3:5] = R[:2,:2]
R[6:8,6:8] = R[:2,:2]
if len(a_bar.shape) == 1:
a = dot( R.transpose() , a_bar )
elif len(a_bar.shape) == 2:
#a = dot( dot( R.transpose(), a_bar ) , R )
a = dot( R.transpose(), dot ( a_bar , R ) )
return a