def tras_rot2(beam, p, theta): theta_grazing = np.pi / 2 - theta y = Vector(0., 1., 0.) y.rotation(-theta_grazing, 'x') x = Vector(1., 0., 0.) xp = x.vector_product(y) vrot = y.rodrigues_formula(xp, -theta_grazing) vrot.normalization() position = Vector(beam.x, beam.y, beam.z) velocity = Vector(beam.vx, beam.vy, beam.vz) position.rotation(-theta_grazing, 'x') velocity.rotation(-theta_grazing, 'x') #position = position.rodrigues_formula(xp, -theta_grazing) #velocity = velocity.rodrigues_formula(xp, -theta_grazing) velocity.normalization() beam.vx = velocity.x beam.vy = velocity.y beam.vz = velocity.z vector_point = Vector(0, p, 0) vector_point.rotation(-theta_grazing, "x") print(vector_point.info()) #vector_point = vector_point.rodrigues_formula(xp, -theta_grazing) vector_point.normalization() beam.x = position.x - vector_point.x * p beam.y = position.y - vector_point.y * p beam.z = position.z - vector_point.z * p
def test_rodrigues(self): print(">> test_rodrigues") theta=90*np.pi/180 axis=Vector(0,0,1) v=Vector(0,1,0) vrot=v.rodrigues_formula(axis,theta) print(v.info()) assert_almost_equal(vrot.x, -1.0, 15) assert_almost_equal(vrot.y, 0, 15) assert_almost_equal(vrot.z, 0, 15)