def testBasicRotationMatrices(self):
'Test the basic rotation matrices.'
m = Matrix.rotationMatrixForZ(45)
v = m.multv(Vector(1.0, 0.0, 0.0))
assert v.round(6) == [ 0.707107, 0.707107, 0.000000 ]
v = m.multv(m.multv(Vector(1.0, 0.0, 0.0)))
assert v.round(6) == [ 0.0, 1.0, 0.0 ]
i = 0
v = Vector(1.0, 0.0, 0.0)
while (i < 8):
v = m.multv(v)
i += 1
assert v.norm() == 1.0
assert v.round(5) == [1.0, 0.0, 0.0], v
assert m.multv(Vector(0, 0, 1)) == [0, 0, 1]
m = Matrix.rotationMatrixForX(120)
v = m.multv(Vector(0.0, 1.0, 0.0))
assert round(v.norm(), 6) == 1.0, v
assert v.round(6) == [ 0.0, -0.5, 0.866025 ]
v = m.multv(Vector(0.0, 1.0, 0.0))
v = m.multv(v)
v = m.multv(v)
assert abs(v.norm() - 1.0) < 0.000000000000001, v.norm()
assert round(v.norm(), 6) == 1.0, v.norm()
assert v.round(6) == [ 0.0, 1.0, 0.0 ]
m = Matrix.rotationMatrixForY(60)
v = m.multv(Vector(0.0, 0.0, 1.0))
assert abs(v.norm()) == 1.0, v.norm()
assert v.round(6) == [ 0.866025, 0.0, 0.5 ], v
v = m.multv(Vector(0.0, 0.0, 1.0))
v = m.multv(v)
v = m.multv(v)
v = m.multv(v)
v = m.multv(v)
v = m.multv(v)
assert abs(v.norm() - 1.0) < 0.000000000000001, v.norm()
assert round(v.norm(), 6) == 1.0, v.norm()
assert v.round(6) == [ 0.0, 0.0, 1.0 ]
