def test_genTr():
oX, oY = 23, 47
w,h = 100,200
for orient in [ 'N', 'S', 'FN', 'FS']:
tr = Transformation.genTr( orient, w=w, h=h)
tr.oX, tr.oY = 0, 0
# tr is now just the flipping matrix, no translation
tr_offset = Transformation( oX=oX, oY=oY)
tr_center = Transformation( oX=-w//2, oY=-h//2)
tr_uncenter = Transformation( oX=w//2, oY=h//2)
tr_first = tr_uncenter.postMult( tr).postMult( tr_center)
tr_whole = tr_offset.postMult( tr_first)
tr_first2 = Transformation.genTr( orient, w=w, h=h)
tr_whole2 = tr_offset.postMult( tr_first2)
assert Transformation() == tr_first2.postMult( tr_first2.inv())
assert Transformation() == tr_first2.inv().postMult( tr_first2)
assert tr_first == tr_first2
assert tr_whole == tr_whole2
assert tr_first.inv() == tr_center.inv().postMult( tr.inv()).postMult( tr_uncenter.inv())
assert tr_first.inv() == tr_uncenter.postMult( tr).postMult( tr_center)
assert tr_first.inv() == tr_first
assert tr_whole.inv() == tr_first.inv().postMult( tr_offset.inv())
def test_transformation_postMult0():
a = Transformation( 0, 10, 0, 0)
b = Transformation( 0, 0, 1,-1)
assert (0,-10) == (b.postMult(a)).hit( (0,0))