def test(self):

        from openaerostruct.geometry.utils import generate_mesh, write_FFD_file
        from openaerostruct.geometry.geometry_group import Geometry
        from openaerostruct.transfer.displacement_transfer import DisplacementTransfer

        from openaerostruct.aerodynamics.aero_groups import AeroPoint

        from openmdao.api import IndepVarComp, Problem, Group, NewtonSolver, ScipyIterativeSolver, LinearBlockGS, NonlinearBlockGS, DirectSolver, LinearBlockGS, PetscKSP, ScipyOptimizeDriver# TODO, SqliteRecorder, CaseReader, profile
        from openmdao.devtools import iprofile
        from openmdao.api import view_model
        from six import iteritems
        from pygeo import DVGeometry

        # Create a dictionary to store options about the surface
        mesh_dict = {'num_y' : 7,
                     'num_x' : 3,
                     'wing_type' : 'CRM',
                     'symmetry' : True,
                     'num_twist_cp' : 5,
                     'span_cos_spacing' : 0.}

        mesh, _ = generate_mesh(mesh_dict)

        surf_dict = {
                    # Wing definition
                    'name' : 'wing',        # name of the surface
                    'symmetry' : True,     # if true, model one half of wing
                                            # reflected across the plane y = 0
                    'S_ref_type' : 'wetted', # how we compute the wing area,
                                             # can be 'wetted' or 'projected'
                    'fem_model_type' : 'tube',

                    'DVGeo' : True,
                    'mesh' : mesh,
                    'mx' : 2,
                    'my' : 3,

                    # Aerodynamic performance of the lifting surface at
                    # an angle of attack of 0 (alpha=0).
                    # These CL0 and CD0 values are added to the CL and CD
                    # obtained from aerodynamic analysis of the surface to get
                    # the total CL and CD.
                    # These CL0 and CD0 values do not vary wrt alpha.
                    'CL0' : 0.0,            # CL of the surface at alpha=0
                    'CD0' : 0.015,            # CD of the surface at alpha=0

                    # Airfoil properties for viscous drag calculation
                    'k_lam' : 0.05,         # percentage of chord with laminar
                                            # flow, used for viscous drag
                    't_over_c_cp' : np.array([0.15]),      # thickness over chord ratio (NACA0015)
                    'c_max_t' : .303,       # chordwise location of maximum (NACA0015)
                                            # thickness
                    'with_viscous' : True,  # if true, compute viscous drag
                    'with_wave' : False,     # if true, compute wave drag
                    }

        surfaces = [surf_dict]

        # Create the problem and the model group
        prob = Problem()

        indep_var_comp = IndepVarComp()
        indep_var_comp.add_output('v', val=248.136, units='m/s')
        indep_var_comp.add_output('alpha', val=6.64, units='deg')
        indep_var_comp.add_output('Mach_number', val=0.84)
        indep_var_comp.add_output('re', val=1.e6, units='1/m')
        indep_var_comp.add_output('rho', val=0.38, units='kg/m**3')
        indep_var_comp.add_output('cg', val=np.zeros((3)), units='m')

        prob.model.add_subsystem('prob_vars',
            indep_var_comp,
            promotes=['*'])

        # Loop over each surface in the surfaces list
        for surface in surfaces:

            filename = write_FFD_file(surface, surface['mx'], surface['my'])
            DVGeo = DVGeometry(filename)
            geom_group = Geometry(surface=surface, DVGeo=DVGeo)

            # Add tmp_group to the problem as the name of the surface.
            # Note that is a group and performance group for each
            # individual surface.
            prob.model.add_subsystem(surface['name'], geom_group)

        # Loop through and add a certain number of aero points
        for i in range(1):

            # Create the aero point group and add it to the model
            aero_group = AeroPoint(surfaces=surfaces)
            point_name = 'aero_point_{}'.format(i)
            prob.model.add_subsystem(point_name, aero_group)

            # Connect flow properties to the analysis point
            prob.model.connect('v', point_name + '.v')
            prob.model.connect('alpha', point_name + '.alpha')
            prob.model.connect('Mach_number', point_name + '.Mach_number')
            prob.model.connect('re', point_name + '.re')
            prob.model.connect('rho', point_name + '.rho')
            prob.model.connect('cg', point_name + '.cg')

            # Connect the parameters within the model for each aero point
            for surface in surfaces:

                name = surface['name']

                # Connect the mesh from the geometry component to the analysis point
                prob.model.connect(name + '.mesh', point_name + '.' + name + '.def_mesh')

                # Perform the connections with the modified names within the
                # 'aero_states' group.
                prob.model.connect(name + '.mesh', point_name + '.aero_states.' + name + '_def_mesh')

                prob.model.connect(name + '.t_over_c', point_name + '.' + name + '_perf.' + 't_over_c')

        from openmdao.api import pyOptSparseDriver
        prob.driver = pyOptSparseDriver()
        prob.driver.options['optimizer'] = "SNOPT"
        prob.driver.opt_settings = {'Major optimality tolerance': 1.0e-6,
                                    'Major feasibility tolerance': 1.0e-6}

        # Setup problem and add design variables, constraint, and objective
        prob.model.add_design_var('alpha', lower=-15, upper=15)
        prob.model.add_design_var('wing.shape', lower=-3, upper=2)

        # prob.model.add_constraint('wing.shape', equals=0., indices=range(surf_dict['my'] * 2), linear=True)
        prob.model.add_constraint(point_name + '.wing_perf.CL', equals=0.5)
        prob.model.add_objective(point_name + '.wing_perf.CD', scaler=1e4)

        # Set up the problem
        prob.setup()

        # view_model(prob, outfile='aero.html', show_browser=False)

        # prob.run_model()
        prob.run_driver()

        assert_rel_error(self, prob['aero_point_0.wing_perf.CD'][0], 0.03398038, 1e-6)
        assert_rel_error(self, prob['aero_point_0.wing_perf.CL'][0], 0.5, 1e-6)
        assert_rel_error(self, prob['aero_point_0.CM'][1], -1.7736315914915437, 1e-5)
    def test(self):
        from openaerostruct.geometry.utils import generate_mesh, write_FFD_file

        from openaerostruct.integration.aerostruct_groups import AerostructGeometry, AerostructPoint

        import openmdao.api as om
        from pygeo import DVGeometry


        # Create a dictionary to store options about the surface
        mesh_dict = {'num_y' : 5,
                     'num_x' : 2,
                     'wing_type' : 'CRM',
                     'symmetry' : True,
                     'num_twist_cp' : 5}

        mesh, twist_cp = generate_mesh(mesh_dict)

        surf_dict = {
                    # Wing definition
                    'name' : 'wing',        # name of the surface
                    'symmetry' : True,     # if true, model one half of wing
                                            # reflected across the plane y = 0
                    'S_ref_type' : 'wetted', # how we compute the wing area,
                                             # can be 'wetted' or 'projected'
                    'fem_model_type' : 'tube',

                    'thickness_cp' : np.array([.1, .2, .3]),

                    'mesh' : mesh,

                    'geom_manipulator' : 'FFD',
                    'mx' : 2,
                    'my' : 3,

                    # Aerodynamic performance of the lifting surface at
                    # an angle of attack of 0 (alpha=0).
                    # These CL0 and CD0 values are added to the CL and CD
                    # obtained from aerodynamic analysis of the surface to get
                    # the total CL and CD.
                    # These CL0 and CD0 values do not vary wrt alpha.
                    'CL0' : 0.0,            # CL of the surface at alpha=0
                    'CD0' : 0.015,            # CD of the surface at alpha=0

                    # Airfoil properties for viscous drag calculation
                    'k_lam' : 0.05,         # percentage of chord with laminar
                                            # flow, used for viscous drag
                    't_over_c_cp' : np.array([0.15]),      # thickness over chord ratio (NACA0015)
                    'c_max_t' : .303,       # chordwise location of maximum (NACA0015)
                                            # thickness
                    'with_viscous' : True,
                    'with_wave' : False,     # if true, compute wave drag

                    # Structural values are based on aluminum 7075
                    'E' : 70.e9,            # [Pa] Young's modulus of the spar
                    'G' : 30.e9,            # [Pa] shear modulus of the spar
                    'yield' : 500.e6 / 2.5, # [Pa] yield stress divided by 2.5 for limiting case
                    'mrho' : 3.e3,          # [kg/m^3] material density
                    'fem_origin' : 0.35,    # normalized chordwise location of the spar
                    'wing_weight_ratio' : 2.,
                    'struct_weight_relief' : False,    # True to add the weight of the structure to the loads on the structure
                    'distributed_fuel_weight' : False,
                    # Constraints
                    'exact_failure_constraint' : False, # if false, use KS function
                    }

        surfaces = [surf_dict]

        # Create the problem and assign the model group
        prob = om.Problem()

        # Add problem information as an independent variables component
        indep_var_comp = om.IndepVarComp()
        indep_var_comp.add_output('v', val=248.136, units='m/s')
        indep_var_comp.add_output('alpha', val=5., units='deg')
        indep_var_comp.add_output('Mach_number', val=0.84)
        indep_var_comp.add_output('re', val=1.e6, units='1/m')
        indep_var_comp.add_output('rho', val=0.38, units='kg/m**3')
        indep_var_comp.add_output('CT', val=grav_constant * 17.e-6, units='1/s')
        indep_var_comp.add_output('R', val=11.165e6, units='m')
        indep_var_comp.add_output('W0', val=0.4 * 3e5,  units='kg')
        indep_var_comp.add_output('speed_of_sound', val=295.4, units='m/s')
        indep_var_comp.add_output('load_factor', val=1.)
        indep_var_comp.add_output('empty_cg', val=np.zeros((3)), units='m')

        prob.model.add_subsystem('prob_vars',
             indep_var_comp,
             promotes=['*'])

        # Loop over each surface in the surfaces list
        for surface in surfaces:

            # Get the surface name and create a group to contain components
            # only for this surface
            name = surface['name']

            filename = write_FFD_file(surface, surface['mx'], surface['my'])
            DVGeo = DVGeometry(filename)
            aerostruct_group = AerostructGeometry(surface=surface, DVGeo=DVGeo)

            # Add tmp_group to the problem with the name of the surface.
            prob.model.add_subsystem(name, aerostruct_group)

        # Loop through and add a certain number of aero points
        for i in range(1):

            point_name = 'AS_point_{}'.format(i)
            # Connect the parameters within the model for each aero point

            # Create the aero point group and add it to the model
            AS_point = AerostructPoint(surfaces=surfaces)

            prob.model.add_subsystem(point_name, AS_point)

            # Connect flow properties to the analysis point
            prob.model.connect('v', point_name + '.v')
            prob.model.connect('alpha', point_name + '.alpha')
            prob.model.connect('Mach_number', point_name + '.Mach_number')
            prob.model.connect('re', point_name + '.re')
            prob.model.connect('rho', point_name + '.rho')
            prob.model.connect('CT', point_name + '.CT')
            prob.model.connect('R', point_name + '.R')
            prob.model.connect('W0', point_name + '.W0')
            prob.model.connect('speed_of_sound', point_name + '.speed_of_sound')
            prob.model.connect('empty_cg', point_name + '.empty_cg')
            prob.model.connect('load_factor', point_name + '.load_factor')

            for surface in surfaces:

                com_name = point_name + '.' + name + '_perf'
                prob.model.connect(name + '.local_stiff_transformed', point_name + '.coupled.' + name + '.local_stiff_transformed')
                prob.model.connect(name + '.nodes', point_name + '.coupled.' + name + '.nodes')

                # Connect aerodyamic mesh to coupled group mesh
                prob.model.connect(name + '.mesh', point_name + '.coupled.' + name + '.mesh')

                # Connect performance calculation variables
                prob.model.connect(name + '.radius', com_name + '.radius')
                prob.model.connect(name + '.thickness', com_name + '.thickness')
                prob.model.connect(name + '.nodes', com_name + '.nodes')
                prob.model.connect(name + '.cg_location', point_name + '.' + 'total_perf.' + name + '_cg_location')
                prob.model.connect(name + '.structural_mass', point_name + '.' + 'total_perf.' + name + '_structural_mass')
                prob.model.connect(name + '.t_over_c', com_name + '.t_over_c')

        # Import the Scipy Optimizer and set the driver of the problem to use
        # it, which defaults to an SLSQP optimization method
        prob.driver = om.ScipyOptimizeDriver()

        recorder = om.SqliteRecorder("aerostruct_ffd.db")
        prob.driver.add_recorder(recorder)
        prob.driver.recording_options['record_derivatives'] = True
        prob.driver.recording_options['includes'] = ['*']

        # Setup problem and add design variables, constraint, and objective
        prob.model.add_design_var('wing.shape', lower=-3, upper=2)
        prob.model.add_design_var('wing.thickness_cp', lower=0.01, upper=0.5, scaler=1e2)
        prob.model.add_constraint('AS_point_0.wing_perf.failure', upper=0.)
        prob.model.add_constraint('AS_point_0.wing_perf.thickness_intersects', upper=0.)

        # Add design variables, constraisnt, and objective on the problem
        prob.model.add_design_var('alpha', lower=-10., upper=10.)
        prob.model.add_constraint('AS_point_0.L_equals_W', equals=0.)
        prob.model.add_objective('AS_point_0.fuelburn', scaler=1e-5)

        # iprofile.setup()
        # iprofile.start()

        # Set up the problem
        prob.setup()

        # om.view_model(prob, outfile='aerostruct_ffd', show_browser=False)

        # prob.run_model()
        prob.run_driver()

        # prob.check_partials(compact_print=True)

        # print("\nWing CL:", prob['aero_point_0.wing_perf.CL'])
        # print("Wing CD:", prob['aero_point_0.wing_perf.CD'])


        # from helper import plot_3d_points
        #
        # mesh = prob['aero_point_0.wing.def_mesh']
        # plot_3d_points(mesh)
        #
        # filename = mesh_dict['wing_type'] + '_' + str(mesh_dict['num_x']) + '_' + str(mesh_dict['num_y'])
        # filename += '_' + str(surf_dict['mx']) + '_' + str(surf_dict['my']) + '.mesh'
        # np.save(filename, mesh)

        assert_rel_error(self, prob['AS_point_0.fuelburn'][0], 97680.8964568375, 1e-3)
    def test(self):

        from openaerostruct.geometry.utils import generate_mesh, write_FFD_file
        from openaerostruct.geometry.geometry_group import Geometry
        from openaerostruct.transfer.displacement_transfer import DisplacementTransfer

        from openaerostruct.aerodynamics.aero_groups import AeroPoint
        from openaerostruct.integration.multipoint_comps import MultiCD

        from openmdao.api import IndepVarComp, Problem, Group, NewtonSolver, ScipyIterativeSolver, LinearBlockGS, NonlinearBlockGS, DirectSolver, LinearBlockGS, PetscKSP, ScipyOptimizeDriver, ExplicitComponent# TODO, SqliteRecorder, CaseReader, profile
        from openmdao.devtools import iprofile
        from openmdao.api import view_model
        from openmdao.utils.assert_utils import assert_check_partials
        from pygeo import DVGeometry

        # Create a dictionary to store options about the surface
        mesh_dict = {'num_y' : 5,
                     'num_x' : 3,
                     'wing_type' : 'CRM',
                     'symmetry' : True,
                     'num_twist_cp' : 5,
                     'span_cos_spacing' : 0.}

        mesh, _ = generate_mesh(mesh_dict)

        surf_dict = {
                    # Wing definition
                    'name' : 'wing',        # name of the surface
                    'type' : 'aero',
                    'symmetry' : True,     # if true, model one half of wing
                                            # reflected across the plane y = 0
                    'S_ref_type' : 'wetted', # how we compute the wing area,
                                             # can be 'wetted' or 'projected'
                    'fem_model_type' : 'tube',

                    'mesh' : mesh,
                    'mx' : 2,
                    'my' : 3,
                    'geom_manipulator' : 'FFD',

                    # Aerodynamic performance of the lifting surface at
                    # an angle of attack of 0 (alpha=0).
                    # These CL0 and CD0 values are added to the CL and CD
                    # obtained from aerodynamic analysis of the surface to get
                    # the total CL and CD.
                    # These CL0 and CD0 values do not vary wrt alpha.
                    'CL0' : 0.0,            # CL of the surface at alpha=0
                    'CD0' : 0.015,            # CD of the surface at alpha=0

                    # Airfoil properties for viscous drag calculation
                    'k_lam' : 0.05,         # percentage of chord with laminar
                                            # flow, used for viscous drag
                    't_over_c_cp' : np.array([0.15]),      # thickness over chord ratio (NACA0015)
                    'c_max_t' : .303,       # chordwise location of maximum (NACA0015)
                                            # thickness
                    'with_viscous' : True,  # if true, compute viscous drag
                    'with_wave' : False,     # if true, compute wave drag
                    }

        surfaces = [surf_dict]

        n_points = 2

        # Create the problem and the model group
        prob = Problem()

        indep_var_comp = IndepVarComp()
        indep_var_comp.add_output('v', val=248.136, units='m/s')
        indep_var_comp.add_output('alpha', val=np.ones(n_points)*6.64, units='deg')
        indep_var_comp.add_output('M', val=0.84)
        indep_var_comp.add_output('re', val=1.e6, units='1/m')
        indep_var_comp.add_output('rho', val=0.38, units='kg/m**3')
        indep_var_comp.add_output('cg', val=np.zeros((3)), units='m')

        prob.model.add_subsystem('prob_vars',
            indep_var_comp,
            promotes=['*'])


        # Loop through and add a certain number of aero points
        for i in range(n_points):

            # Create the aero point group and add it to the model
            aero_group = AeroPoint(surfaces=surfaces)
            point_name = 'aero_point_{}'.format(i)
            prob.model.add_subsystem(point_name, aero_group)

            # Connect flow properties to the analysis point
            prob.model.connect('v', point_name + '.v')
            prob.model.connect('alpha', point_name + '.alpha', src_indices=[i])
            prob.model.connect('M', point_name + '.M')
            prob.model.connect('re', point_name + '.re')
            prob.model.connect('rho', point_name + '.rho')
            prob.model.connect('cg', point_name + '.cg')

            # Connect the parameters within the model for each aero point
            for surface in surfaces:

                filename = write_FFD_file(surface, surface['mx'], surface['my'])
                DVGeo = DVGeometry(filename)
                geom_group = Geometry(surface=surface, DVGeo=DVGeo)

                # Add tmp_group to the problem as the name of the surface.
                # Note that is a group and performance group for each
                # individual surface.
                aero_group.add_subsystem(surface['name'] + '_geom', geom_group)

                name = surface['name']
                prob.model.connect(point_name + '.CD', 'multi_CD.' + str(i) + '_CD')

                # Connect the mesh from the geometry component to the analysis point
                prob.model.connect(point_name + '.' + name + '_geom.mesh', point_name + '.' + name + '.def_mesh')

                # Perform the connections with the modified names within the
                # 'aero_states' group.
                prob.model.connect(point_name + '.' + name + '_geom.mesh', point_name + '.aero_states.' + name + '_def_mesh')

                prob.model.connect(point_name + '.' + name + '_geom.t_over_c', point_name + '.' + name + '_perf.' + 't_over_c')

        prob.model.add_subsystem('multi_CD', MultiCD(n_points=n_points), promotes_outputs=['CD'])

        from openmdao.api import pyOptSparseDriver
        prob.driver = pyOptSparseDriver()
        prob.driver.options['optimizer'] = "SNOPT"
        prob.driver.opt_settings = {'Major optimality tolerance': 1.0e-5,
                                    'Major feasibility tolerance': 1.0e-5}

        # # Setup problem and add design variables, constraint, and objective
        prob.model.add_design_var('alpha', lower=-15, upper=15)

        prob.model.add_design_var('aero_point_0.wing_geom.shape', lower=-3, upper=2)
        prob.model.add_constraint('aero_point_0.wing_perf.CL', equals=0.45)

        prob.model.add_design_var('aero_point_1.wing_geom.shape', lower=-3, upper=2)
        prob.model.add_constraint('aero_point_1.wing_perf.CL', equals=0.5)

        prob.model.add_objective('CD', scaler=1e4)

        # Set up the problem
        prob.setup()

        prob.run_model()

        # Check the partials at this point in the design space
        data = prob.check_partials(compact_print=True, out_stream=None, method='cs', step=1e-40)
        assert_check_partials(data, atol=1e20, rtol=1e-6)
    def test(self):

        from openaerostruct.geometry.utils import generate_mesh, write_FFD_file
        from openaerostruct.geometry.geometry_group import Geometry
        from openaerostruct.aerodynamics.aero_groups import AeroPoint
        from openaerostruct.integration.multipoint_comps import MultiCD

        import openmdao.api as om
        from openmdao.utils.assert_utils import assert_check_partials
        from pygeo import DVGeometry

        # Create a dictionary to store options about the surface
        mesh_dict = {
            'num_y': 5,
            'num_x': 3,
            'wing_type': 'CRM',
            'symmetry': True,
            'num_twist_cp': 5,
            'span_cos_spacing': 0.0,
        }

        mesh, _ = generate_mesh(mesh_dict)

        surf_dict = {
            # Wing definition
            'name': 'wing',  # name of the surface
            'symmetry': True,  # if true, model one half of wing
            # reflected across the plane y = 0
            'S_ref_type': 'wetted',  # how we compute the wing area,
            # can be 'wetted' or 'projected'
            'fem_model_type': 'tube',
            'mesh': mesh,
            'mx': 2,
            'my': 3,
            'geom_manipulator': 'FFD',
            # Aerodynamic performance of the lifting surface at
            # an angle of attack of 0 (alpha=0).
            # These CL0 and CD0 values are added to the CL and CD
            # obtained from aerodynamic analysis of the surface to get
            # the total CL and CD.
            # These CL0 and CD0 values do not vary wrt alpha.
            'CL0': 0.0,  # CL of the surface at alpha=0
            'CD0': 0.015,  # CD of the surface at alpha=0
            # Airfoil properties for viscous drag calculation
            'k_lam': 0.05,  # percentage of chord with laminar
            # flow, used for viscous drag
            't_over_c_cp':
            np.array([0.15]),  # thickness over chord ratio (NACA0015)
            'c_max_t': 0.303,  # chordwise location of maximum (NACA0015)
            # thickness
            'with_viscous': True,  # if true, compute viscous drag
            'with_wave': False,  # if true, compute wave drag
        }

        surfaces = [surf_dict]

        n_points = 2

        # Create the problem and the model group
        prob = om.Problem()

        indep_var_comp = om.IndepVarComp()
        indep_var_comp.add_output('v', val=248.136, units='m/s')
        indep_var_comp.add_output('alpha',
                                  val=np.ones(n_points) * 6.64,
                                  units='deg')
        indep_var_comp.add_output('Mach_number', val=0.84)
        indep_var_comp.add_output('re', val=1.0e6, units='1/m')
        indep_var_comp.add_output('rho', val=0.38, units='kg/m**3')
        indep_var_comp.add_output('cg', val=np.zeros((3)), units='m')

        prob.model.add_subsystem('prob_vars', indep_var_comp, promotes=['*'])

        # Loop over each surface in the surfaces list
        for surface in surfaces:
            # Get the surface name and create a group to contain components
            # only for this surface
            name = surface['name']

            # FFD setup
            filename = write_FFD_file(surface, surface['mx'], surface['my'])
            DVGeo = DVGeometry(filename)
            geom_group = Geometry(surface=surface, DVGeo=DVGeo)

            # Add tmp_group to the problem with the name of the surface.
            prob.model.add_subsystem(name + '_geom', geom_group)

        # Loop through and add a certain number of aero points
        for i in range(n_points):

            # Create the aero point group and add it to the model
            aero_group = AeroPoint(surfaces=surfaces)
            point_name = 'aero_point_{}'.format(i)
            prob.model.add_subsystem(point_name, aero_group)

            # Connect flow properties to the analysis point
            prob.model.connect('v', point_name + '.v')
            prob.model.connect('alpha', point_name + '.alpha', src_indices=[i])
            prob.model.connect('Mach_number', point_name + '.Mach_number')
            prob.model.connect('re', point_name + '.re')
            prob.model.connect('rho', point_name + '.rho')
            prob.model.connect('cg', point_name + '.cg')

            # Connect the parameters within the model for each aero point
            for surface in surfaces:
                name = surface['name']

                # Connect the drag coeff at this point to the multi_CD component, which does the summation.
                prob.model.connect(point_name + '.CD',
                                   'multi_CD.' + str(i) + '_CD')

                # Connect the mesh from the geometry component to the analysis point
                prob.model.connect(name + '_geom.mesh',
                                   point_name + '.' + name + '.def_mesh')

                # Perform the connections with the modified names within the
                # 'aero_states' group.
                prob.model.connect(
                    name + '_geom.mesh',
                    point_name + '.aero_states.' + name + '_def_mesh')
                prob.model.connect(
                    name + '_geom.t_over_c',
                    point_name + '.' + name + '_perf.' + 't_over_c')

        prob.model.add_subsystem('multi_CD',
                                 MultiCD(n_points=n_points),
                                 promotes_outputs=['CD'])

        prob.driver = om.ScipyOptimizeDriver()

        # Setup problem and add design variables, constraint, and objective
        # design variable is the wing shape, and angle-of-attack at each point.
        prob.model.add_design_var('alpha', lower=-15, upper=15)
        prob.model.add_design_var('wing_geom.shape', lower=-3, upper=2)

        # set different target CL value at each point.
        prob.model.add_constraint('aero_point_0.wing_perf.CL', equals=0.45)
        prob.model.add_constraint('aero_point_1.wing_perf.CL', equals=0.5)

        # objective is the sum of CDs at each point.
        prob.model.add_objective('CD', scaler=1e4)

        # Set up the problem
        prob.setup()
        prob.run_model()

        # Check the partials at this point in the design space
        data = prob.check_partials(compact_print=True,
                                   out_stream=None,
                                   method='fd',
                                   step=1e-5)
        assert_check_partials(data, atol=1e20, rtol=1e-3)
    def test(self):
        from openaerostruct.geometry.utils import generate_mesh, write_FFD_file

        from openaerostruct.integration.aerostruct_groups import AerostructGeometry, AerostructPoint

        from openmdao.api import IndepVarComp, Problem, Group, SqliteRecorder
        from pygeo import DVGeometry


        # Create a dictionary to store options about the surface
        mesh_dict = {'num_y' : 5,
                     'num_x' : 2,
                     'wing_type' : 'CRM',
                     'symmetry' : True,
                     'num_twist_cp' : 5}

        mesh, twist_cp = generate_mesh(mesh_dict)

        surf_dict = {
                    # Wing definition
                    'name' : 'wing',        # name of the surface
                    'type' : 'aerostruct',
                    'symmetry' : True,     # if true, model one half of wing
                                            # reflected across the plane y = 0
                    'S_ref_type' : 'wetted', # how we compute the wing area,
                                             # can be 'wetted' or 'projected'
                    'fem_model_type' : 'tube',

                    'thickness_cp' : np.array([.1, .2, .3]),

                    'mesh' : mesh,

                    'geom_manipulator' : 'FFD',
                    'mx' : 2,
                    'my' : 3,

                    # Aerodynamic performance of the lifting surface at
                    # an angle of attack of 0 (alpha=0).
                    # These CL0 and CD0 values are added to the CL and CD
                    # obtained from aerodynamic analysis of the surface to get
                    # the total CL and CD.
                    # These CL0 and CD0 values do not vary wrt alpha.
                    'CL0' : 0.0,            # CL of the surface at alpha=0
                    'CD0' : 0.015,            # CD of the surface at alpha=0

                    # Airfoil properties for viscous drag calculation
                    'k_lam' : 0.05,         # percentage of chord with laminar
                                            # flow, used for viscous drag
                    't_over_c_cp' : np.array([0.15]),      # thickness over chord ratio (NACA0015)
                    'c_max_t' : .303,       # chordwise location of maximum (NACA0015)
                                            # thickness
                    'with_viscous' : True,
                    'with_wave' : False,     # if true, compute wave drag

                    # Structural values are based on aluminum 7075
                    'E' : 70.e9,            # [Pa] Young's modulus of the spar
                    'G' : 30.e9,            # [Pa] shear modulus of the spar
                    'yield' : 500.e6 / 2.5, # [Pa] yield stress divided by 2.5 for limiting case
                    'mrho' : 3.e3,          # [kg/m^3] material density
                    'fem_origin' : 0.35,    # normalized chordwise location of the spar
                    'wing_weight_ratio' : 2.,
                    'struct_weight_relief' : False,    # True to add the weight of the structure to the loads on the structure
                    'distributed_fuel_weight' : False,
                    # Constraints
                    'exact_failure_constraint' : False, # if false, use KS function
                    }

        surfaces = [surf_dict]

        # Create the problem and assign the model group
        prob = Problem()

        # Add problem information as an independent variables component
        indep_var_comp = IndepVarComp()
        indep_var_comp.add_output('v', val=248.136, units='m/s')
        indep_var_comp.add_output('alpha', val=5., units='deg')
        indep_var_comp.add_output('M', val=0.84)
        indep_var_comp.add_output('re', val=1.e6, units='1/m')
        indep_var_comp.add_output('rho', val=0.38, units='kg/m**3')
        indep_var_comp.add_output('CT', val=9.80665 * 17.e-6, units='1/s')
        indep_var_comp.add_output('R', val=11.165e6, units='m')
        indep_var_comp.add_output('W0', val=0.4 * 3e5,  units='kg')
        indep_var_comp.add_output('a', val=295.4, units='m/s')
        indep_var_comp.add_output('load_factor', val=1.)
        indep_var_comp.add_output('empty_cg', val=np.zeros((3)), units='m')

        prob.model.add_subsystem('prob_vars',
             indep_var_comp,
             promotes=['*'])

        # Loop over each surface in the surfaces list
        for surface in surfaces:

            # Get the surface name and create a group to contain components
            # only for this surface
            name = surface['name']

            filename = write_FFD_file(surface, surface['mx'], surface['my'])
            DVGeo = DVGeometry(filename)
            aerostruct_group = AerostructGeometry(surface=surface, DVGeo=DVGeo)

            # Add tmp_group to the problem with the name of the surface.
            prob.model.add_subsystem(name, aerostruct_group)

        # Loop through and add a certain number of aero points
        for i in range(1):

            point_name = 'AS_point_{}'.format(i)
            # Connect the parameters within the model for each aero point

            # Create the aero point group and add it to the model
            AS_point = AerostructPoint(surfaces=surfaces)

            prob.model.add_subsystem(point_name, AS_point)

            # Connect flow properties to the analysis point
            prob.model.connect('v', point_name + '.v')
            prob.model.connect('alpha', point_name + '.alpha')
            prob.model.connect('M', point_name + '.M')
            prob.model.connect('re', point_name + '.re')
            prob.model.connect('rho', point_name + '.rho')
            prob.model.connect('CT', point_name + '.CT')
            prob.model.connect('R', point_name + '.R')
            prob.model.connect('W0', point_name + '.W0')
            prob.model.connect('a', point_name + '.a')
            prob.model.connect('empty_cg', point_name + '.empty_cg')
            prob.model.connect('load_factor', point_name + '.load_factor')

            for surface in surfaces:

                prob.model.connect('load_factor', name + '.load_factor')

                com_name = point_name + '.' + name + '_perf'
                prob.model.connect(name + '.K', point_name + '.coupled.' + name + '.K')
                prob.model.connect(name + '.nodes', point_name + '.coupled.' + name + '.nodes')

                # Connect aerodyamic mesh to coupled group mesh
                prob.model.connect(name + '.mesh', point_name + '.coupled.' + name + '.mesh')

                # Connect performance calculation variables
                prob.model.connect(name + '.radius', com_name + '.radius')
                prob.model.connect(name + '.thickness', com_name + '.thickness')
                prob.model.connect(name + '.nodes', com_name + '.nodes')
                prob.model.connect(name + '.cg_location', point_name + '.' + 'total_perf.' + name + '_cg_location')
                prob.model.connect(name + '.structural_weight', point_name + '.' + 'total_perf.' + name + '_structural_weight')
                prob.model.connect(name + '.t_over_c', com_name + '.t_over_c')

        # Import the Scipy Optimizer and set the driver of the problem to use
        # it, which defaults to an SLSQP optimization method
        from openmdao.api import ScipyOptimizeDriver
        prob.driver = ScipyOptimizeDriver()

        recorder = SqliteRecorder("aerostruct_ffd.db")
        prob.driver.add_recorder(recorder)
        prob.driver.recording_options['record_derivatives'] = True
        prob.driver.recording_options['includes'] = ['*']

        # Setup problem and add design variables, constraint, and objective
        prob.model.add_design_var('wing.shape', lower=-3, upper=2)
        prob.model.add_design_var('wing.thickness_cp', lower=0.01, upper=0.5, scaler=1e2)
        prob.model.add_constraint('AS_point_0.wing_perf.failure', upper=0.)
        prob.model.add_constraint('AS_point_0.wing_perf.thickness_intersects', upper=0.)

        # Add design variables, constraisnt, and objective on the problem
        prob.model.add_design_var('alpha', lower=-10., upper=10.)
        prob.model.add_constraint('AS_point_0.L_equals_W', equals=0.)
        prob.model.add_objective('AS_point_0.fuelburn', scaler=1e-5)

        # iprofile.setup()
        # iprofile.start()

        # Set up the problem
        prob.setup()

        # from openmdao.api import view_model
        # view_model(prob, outfile='aerostruct_ffd', show_browser=False)

        # prob.run_model()
        prob.run_driver()

        # prob.check_partials(compact_print=True)

        # print("\nWing CL:", prob['aero_point_0.wing_perf.CL'])
        # print("Wing CD:", prob['aero_point_0.wing_perf.CD'])


        # from helper import plot_3d_points
        #
        # mesh = prob['aero_point_0.wing.def_mesh']
        # plot_3d_points(mesh)
        #
        # filename = mesh_dict['wing_type'] + '_' + str(mesh_dict['num_x']) + '_' + str(mesh_dict['num_y'])
        # filename += '_' + str(surf_dict['mx']) + '_' + str(surf_dict['my']) + '.mesh'
        # np.save(filename, mesh)

        assert_rel_error(self, prob['AS_point_0.fuelburn'][0], 104675.0989232741, 1e-3)
    def test(self):

        from openaerostruct.geometry.utils import generate_mesh, write_FFD_file
        from openaerostruct.geometry.geometry_group import Geometry
        from openaerostruct.transfer.displacement_transfer import DisplacementTransfer

        from openaerostruct.aerodynamics.aero_groups import AeroPoint
        from openaerostruct.integration.multipoint_comps import MultiCD, GeomMatch

        from openmdao.api import IndepVarComp, Problem, Group, NewtonSolver, ScipyIterativeSolver, LinearBlockGS, NonlinearBlockGS, DirectSolver, LinearBlockGS, PetscKSP, ScipyOptimizeDriver, ExplicitComponent# TODO, SqliteRecorder, CaseReader, profile
        from openmdao.devtools import iprofile
        from openmdao.api import view_model
        from pygeo import DVGeometry

        # Create a dictionary to store options about the surface
        mesh_dict = {'num_y' : 5,
                     'num_x' : 3,
                     'wing_type' : 'CRM',
                     'symmetry' : True,
                     'num_twist_cp' : 5,
                     'span_cos_spacing' : 0.}

        mesh, _ = generate_mesh(mesh_dict)

        surf_dict = {
                    # Wing definition
                    'name' : 'wing',        # name of the surface
                    'type' : 'aero',
                    'symmetry' : True,     # if true, model one half of wing
                                            # reflected across the plane y = 0
                    'S_ref_type' : 'wetted', # how we compute the wing area,
                                             # can be 'wetted' or 'projected'
                    'fem_model_type' : 'tube',

                    'mesh' : mesh,
                    'mx' : 2,
                    'my' : 3,
                    'geom_manipulator' : 'FFD',

                    # Aerodynamic performance of the lifting surface at
                    # an angle of attack of 0 (alpha=0).
                    # These CL0 and CD0 values are added to the CL and CD
                    # obtained from aerodynamic analysis of the surface to get
                    # the total CL and CD.
                    # These CL0 and CD0 values do not vary wrt alpha.
                    'CL0' : 0.0,            # CL of the surface at alpha=0
                    'CD0' : 0.015,            # CD of the surface at alpha=0

                    # Airfoil properties for viscous drag calculation
                    'k_lam' : 0.05,         # percentage of chord with laminar
                                            # flow, used for viscous drag
                    't_over_c' : 0.15,      # thickness over chord ratio (NACA0015)
                    'c_max_t' : .303,       # chordwise location of maximum (NACA0015)
                                            # thickness
                    'with_viscous' : True,  # if true, compute viscous drag
                    }

        surf_dict['num_x'], surf_dict['num_y'] = surf_dict['mesh'].shape[:2]

        surfaces = [surf_dict]

        n_points = 2

        # Create the problem and the model group
        prob = Problem()

        indep_var_comp = IndepVarComp()
        indep_var_comp.add_output('v', val=248.136, units='m/s')
        indep_var_comp.add_output('alpha', val=np.ones(n_points)*6.64)
        indep_var_comp.add_output('M', val=0.84)
        indep_var_comp.add_output('re', val=1.e6, units='1/m')
        indep_var_comp.add_output('rho', val=0.38, units='kg/m**3')
        indep_var_comp.add_output('cg', val=np.zeros((3)), units='m')

        prob.model.add_subsystem('prob_vars',
            indep_var_comp,
            promotes=['*'])


        # Loop through and add a certain number of aero points
        for i in range(n_points):

            # Create the aero point group and add it to the model
            aero_group = AeroPoint(surfaces=surfaces)
            point_name = 'aero_point_{}'.format(i)
            prob.model.add_subsystem(point_name, aero_group)

            # Connect flow properties to the analysis point
            prob.model.connect('v', point_name + '.v')
            prob.model.connect('alpha', point_name + '.alpha', src_indices=[i])
            prob.model.connect('M', point_name + '.M')
            prob.model.connect('re', point_name + '.re')
            prob.model.connect('rho', point_name + '.rho')
            prob.model.connect('cg', point_name + '.cg')

            # Connect the parameters within the model for each aero point
            for surface in surfaces:

                filename = write_FFD_file(surface, surface['mx'], surface['my'])
                DVGeo = DVGeometry(filename)
                geom_group = Geometry(surface=surface, DVGeo=DVGeo)

                # Add tmp_group to the problem as the name of the surface.
                # Note that is a group and performance group for each
                # individual surface.
                aero_group.add_subsystem(surface['name'] + '_geom', geom_group)

                name = surface['name']
                prob.model.connect(point_name + '.CD', 'multi_CD.' + str(i) + '_CD')
                prob.model.connect(point_name + '.wing_geom.shape', 'geom_match.' + str(i) + '_shape')

                # Connect the mesh from the geometry component to the analysis point
                prob.model.connect(point_name + '.' + name + '_geom.mesh', point_name + '.' + name + '.def_mesh')

                # Perform the connections with the modified names within the
                # 'aero_states' group.
                prob.model.connect(point_name + '.' + name + '_geom.mesh', point_name + '.aero_states.' + name + '_def_mesh')

        prob.model.add_subsystem('multi_CD', MultiCD(n_points=n_points), promotes_outputs=['CD'])
        prob.model.add_subsystem('geom_match', GeomMatch(n_points=n_points, mx=surf_dict['mx'], my=surf_dict['my']), promotes_outputs=['shape_diff'])

        from openmdao.api import pyOptSparseDriver
        prob.driver = pyOptSparseDriver()
        prob.driver.options['optimizer'] = "SNOPT"
        prob.driver.opt_settings = {'Major optimality tolerance': 1.0e-5,
                                    'Major feasibility tolerance': 1.0e-5}

        # # Setup problem and add design variables, constraint, and objective
        prob.model.add_design_var('alpha', lower=-15, upper=15)

        prob.model.add_design_var('aero_point_0.wing_geom.shape', lower=-3, upper=2)
        prob.model.add_constraint('aero_point_0.wing_perf.CL', equals=0.45)

        prob.model.add_design_var('aero_point_1.wing_geom.shape', lower=-3, upper=2)
        prob.model.add_constraint('aero_point_1.wing_perf.CL', equals=0.5)

        prob.model.add_constraint('shape_diff', equals=0., indices=range(surf_dict['my'] * (n_points - 1) * 1), linear=True)
        # prob.model.add_constraint('shape_diff', equals=0., linear=True)

        prob.model.add_objective('CD', scaler=1e4)

        # Set up the problem
        prob.setup()

        # prob.run_model()
        prob.run_driver()

        # prob.check_partials(compact_print=True)

        assert_rel_error(self, prob['aero_point_0.wing_perf.CL'][0], 0.45, 1e-6)
        assert_rel_error(self, prob['aero_point_0.wing_perf.CD'][0], 0.03229527496681374, 1e-6)
        assert_rel_error(self, prob['aero_point_1.wing_perf.CL'][0], 0.5, 1e-6)
        assert_rel_error(self, prob['aero_point_1.wing_perf.CD'][0], 0.033767398588947985, 1e-6)