def test_add_constraint(self):
n = 50
prob = om.Problem()
model = prob.model
prob.driver = om.ScipyOptimizeDriver()
model.add_subsystem('comp', om.ExecComp('y = -3.0*x**2 + k',
x=np.zeros((n, )),
y=np.zeros((n, )),
k=0.0), promotes_inputs=['x', 'k'])
model.add_subsystem('ks', om.KSComp(width=n, upper=4.0, add_constraint=True))
model.add_design_var('k', lower=-10, upper=10)
model.add_objective('k', scaler=-1)
model.connect('comp.y', 'ks.g')
prob.setup()
prob.set_val('x', np.linspace(-np.pi/2, np.pi/2, n))
prob.set_val('k', 5.)
prob.run_driver()
self.assertTrue(max(prob.get_val('comp.y')) <= 4.0)
def test_vectorized(self):
prob = om.Problem()
model = prob.model
x = np.zeros((3, 5))
x[0, :] = np.array([3.0, 5.0, 11.0, 13.0, 17.0])
x[1, :] = np.array([13.0, 11.0, 5.0, 17.0, 3.0])*2
x[2, :] = np.array([11.0, 3.0, 17.0, 5.0, 13.0])*3
model.add_subsystem('px', om.IndepVarComp(name="x", val=x))
model.add_subsystem('ks', om.KSComp(width=5, vec_size=3))
model.connect('px.x', 'ks.g')
model.add_design_var('px.x')
model.add_constraint('ks.KS', upper=0.0)
prob.setup()
prob.run_driver()
assert_near_equal(prob['ks.KS'][0], 17.0)
assert_near_equal(prob['ks.KS'][1], 34.0)
assert_near_equal(prob['ks.KS'][2], 51.0)
partials = prob.check_partials(includes=['ks'], out_stream=None)
for (of, wrt) in partials['ks']:
assert_near_equal(partials['ks'][of, wrt]['abs error'][0], 0.0, 1e-6)
def test_vectorized(self):
prob = om.Problem()
model = prob.model
x = np.zeros((3, 5))
x[0, :] = np.array([3.0, 5.0, 11.0, 13.0, 17.0])
x[1, :] = np.array([13.0, 11.0, 5.0, 17.0, 3.0])*2
x[2, :] = np.array([11.0, 3.0, 17.0, 5.0, 13.0])*3
model.add_subsystem('ks', om.KSComp(width=5, vec_size=3))
model.add_design_var('ks.g')
model.add_constraint('ks.KS', upper=0.0)
prob.setup()
prob.set_val('ks.g', x)
prob.run_driver()
assert_near_equal(prob.get_val('ks.KS', indices=0), 17.0)
assert_near_equal(prob.get_val('ks.KS', indices=1), 34.0)
assert_near_equal(prob.get_val('ks.KS', indices=2), 51.0)
prob.model.ks._no_check_partials = False # override skipping of check_partials
partials = prob.check_partials(includes=['ks'], out_stream=None)
for (of, wrt) in partials['ks']:
assert_near_equal(partials['ks'][of, wrt]['abs error'][0], 0.0, 1e-6)
def test_partials_no_compute(self):
prob = om.Problem()
model = prob.model
model.add_subsystem('px', om.IndepVarComp('x', val=np.array([5.0, 4.0])))
ks_comp = model.add_subsystem('ks', om.KSComp(width=2))
model.connect('px.x', 'ks.g')
prob.setup()
prob.run_driver()
# compute partials with the current model inputs
inputs = { 'g': prob['ks.g'] }
partials = {}
ks_comp.compute_partials(inputs, partials)
assert_near_equal(partials[('KS', 'g')], np.array([1., 0.]), 1e-6)
# swap inputs and call compute partials again, without calling compute
inputs['g'][0][0] = 4
inputs['g'][0][1] = 5
ks_comp.compute_partials(inputs, partials)
assert_near_equal(partials[('KS', 'g')], np.array([0., 1.]), 1e-6)
def test_units(self):
n = 10
model = om.Group()
model.add_subsystem('ks', om.KSComp(width=n, units='m'), promotes_inputs=[('g', 'x')])
model.set_input_defaults('x', range(n), units='ft')
prob = om.Problem(model=model)
prob.setup()
prob.run_model()
assert_near_equal(prob.get_val('ks.KS', indices=0), np.amax(prob.get_val('x')), tolerance=1e-8)
def test_add_constraint(self):
import numpy as np
import openmdao.api as om
import matplotlib.pyplot as plt
n = 50
prob = om.Problem()
model = prob.model
prob.driver = om.ScipyOptimizeDriver()
ivc = model.add_subsystem('ivc', om.IndepVarComp())
ivc.add_output('x', val=np.linspace(-np.pi / 2, np.pi / 2, n))
ivc.add_output('k', val=5.0)
model.add_subsystem(
'comp',
om.ExecComp('y = -3.0*x**2 + k',
x=np.zeros((n, )),
y=np.zeros((n, )),
k=0.0))
model.add_subsystem('ks',
om.KSComp(width=n, upper=4.0, add_constraint=True))
model.add_design_var('ivc.k', lower=-10, upper=10)
model.add_objective('ivc.k', scaler=-1)
model.connect('ivc.x', 'comp.x')
model.connect('ivc.k', 'comp.k')
model.connect('comp.y', 'ks.g')
prob.setup()
prob.run_driver()
self.assertTrue(max(prob.get_val('comp.y')) <= 4.0)
fig, ax = plt.subplots()
x = prob.get_val('ivc.x')
y = prob.get_val('comp.y')
ax.plot(x, y, 'r.')
ax.plot(x, 4.0 * np.ones_like(x), 'k--')
ax.set_xlabel('x')
ax.set_ylabel('y')
ax.grid(True)
ax.text(-0.25, 0, f"k = {prob.get_val('ivc.k')[0]:6.3f}")
plt.show()
def test_upper(self):
prob = om.Problem()
model = prob.model
model.add_subsystem('comp', om.ExecComp('y = 3.0*x', x=np.zeros((2, )), y=np.zeros((2, ))))
model.add_subsystem('ks', om.KSComp(width=2))
model.connect('comp.y', 'ks.g')
model.ks.options['upper'] = 16.0
prob.setup()
prob.set_val('comp.x', np.array([5.0, 4.0]))
prob.run_model()
assert_near_equal(prob.get_val('ks.KS', indices=0), -1.0)
def test_lower_flag(self):
prob = om.Problem()
model = prob.model
model.add_subsystem('px', om.IndepVarComp('x', val=np.array([5.0, 4.0])))
model.add_subsystem('comp', om.ExecComp('y = 3.0*x', x=np.zeros((2, )), y=np.zeros((2, ))))
model.add_subsystem('ks', om.KSComp(width=2))
model.connect('px.x', 'comp.x')
model.connect('comp.y', 'ks.g')
model.ks.options['lower_flag'] = True
prob.setup()
prob.run_model()
assert_near_equal(prob['ks.KS'][0], -12.0)
def test_vectorized(self):
prob = om.Problem()
model = prob.model
model.add_subsystem('comp', om.ExecComp('y = 3.0*x',
x=np.zeros((2, 2)),
y=np.zeros((2, 2))), promotes_inputs=['x'])
model.add_subsystem('ks', om.KSComp(width=2, vec_size=2))
model.connect('comp.y', 'ks.g')
prob.setup()
prob.set_val('x', np.array([[5.0, 4.0], [10.0, 8.0]]))
prob.run_model()
assert_near_equal(prob.get_val('ks.KS'), np.array([[15], [30]]))
def test_upper(self):
prob = om.Problem()
model = prob.model
model.add_subsystem('px', om.IndepVarComp('x', val=np.array([5.0, 4.0])))
model.add_subsystem('comp', om.ExecComp('y = 3.0*x', x=np.zeros((2, )), y=np.zeros((2, ))))
model.add_subsystem('ks', om.KSComp(width=2))
model.connect('px.x', 'comp.x')
model.connect('comp.y', 'ks.g')
model.ks.options['upper'] = 16.0
prob.setup()
prob.run_model()
assert_rel_error(self, prob['ks.KS'][0], -1.0)
def test_basic_ks(self):
prob = om.Problem()
model = prob.model
model.add_subsystem('px', om.IndepVarComp(name="x", val=np.ones((2, ))))
model.add_subsystem('comp', DoubleArrayComp())
model.add_subsystem('ks', om.KSComp(width=2))
model.connect('px.x', 'comp.x1')
model.connect('comp.y2', 'ks.g')
model.add_design_var('px.x')
model.add_objective('comp.y1')
model.add_constraint('ks.KS', upper=0.0)
prob.setup()
prob.run_driver()
assert_near_equal(max(prob['comp.y2']), prob['ks.KS'][0])
def test_lower_flag(self):
prob = om.Problem()
model = prob.model
model.add_subsystem('comp', om.ExecComp('y = 3.0*x',
x=np.zeros((2, )),
y=np.zeros((2, ))), promotes_inputs=['x'])
model.add_subsystem('ks', om.KSComp(width=2))
model.connect('comp.y', 'ks.g')
model.ks.options['lower_flag'] = True
prob.setup()
prob.set_val('x', np.array([5.0, 4.0]))
prob.run_model()
assert_near_equal(prob.get_val('ks.KS'), [[-12.0]])
def test_basic(self):
import numpy as np
import openmdao.api as om
prob = om.Problem()
model = prob.model
model.add_subsystem('px', om.IndepVarComp('x', val=np.array([5.0, 4.0])))
model.add_subsystem('comp', om.ExecComp('y = 3.0*x', x=np.zeros((2, )),
y=np.zeros((2, ))))
model.add_subsystem('ks', om.KSComp(width=2))
model.connect('px.x', 'comp.x')
model.connect('comp.y', 'ks.g')
prob.setup()
prob.run_model()
assert_rel_error(self, prob['ks.KS'][0], 15.0)
def test_upper(self):
import numpy as np
import openmdao.api as om
prob = om.Problem()
model = prob.model
model.add_subsystem('comp', om.ExecComp('y = 3.0*x',
x=np.zeros((2, )),
y=np.zeros((2, ))), promotes_inputs=['x'])
model.add_subsystem('ks', om.KSComp(width=2))
model.connect('comp.y', 'ks.g')
model.ks.options['upper'] = 16.0
prob.setup()
prob.set_val('x', np.array([5.0, 4.0]))
prob.run_model()
assert_near_equal(prob['ks.KS'], np.array([[-1.0]]))
def test_vectorized(self):
import numpy as np
import openmdao.api as om
prob = om.Problem()
model = prob.model
model.add_subsystem('px', om.IndepVarComp('x', val=np.array([[5.0, 4.0], [10.0, 8.0]])))
model.add_subsystem('comp', om.ExecComp('y = 3.0*x',
x=np.zeros((2, 2)),
y=np.zeros((2, 2))))
model.add_subsystem('ks', om.KSComp(width=2, vec_size=2))
model.connect('px.x', 'comp.x')
model.connect('comp.y', 'ks.g')
prob.setup()
prob.run_model()
assert_near_equal(prob['ks.KS'], np.array([[15], [30]]))
def test_units(self):
import openmdao.api as om
from openmdao.utils.units import convert_units
n = 10
model = om.Group()
model.add_subsystem('indep', om.IndepVarComp('x', val=range(n), units='ft'))
model.add_subsystem('ks', om.KSComp(width=n, units='m'))
model.connect('indep.x', 'ks.g')
prob = om.Problem(model=model)
prob.setup()
prob.run_model()
# KS is expressed in meters, while the independent variable 'x' is in feet
assert_near_equal(prob['ks.KS'][0], convert_units(max(prob['indep.x']), 'ft', 'm'),
tolerance=1e-8)
assert_near_equal(convert_units(prob['ks.KS'][0], 'm', 'ft'), max(prob['indep.x']),
tolerance=1e-8)
def test_bad_units(self):
with self.assertRaises(ValueError) as ctx:
om.KSComp(units='wtfu')
self.assertEqual(str(ctx.exception), "The units 'wtfu' are invalid.")
def setup(self):
nn = self.options['num_nodes']
nv = self.options['num_vehicles']
separation = self.options['separation']
self.add_subsystem('vehicles',
Vehicles(num_nodes=nn, num_v=nv),
promotes=['*'])
if separation == 'grid':
self.add_subsystem('distances',
GridDistComp(num_nodes=nn,
num_v=nv,
limit=limit),
promotes=['*'])
elif separation == 'pairwise':
self.add_subsystem('demux',
DeMux(num_nodes=nn, nv=nv),
promotes=['*'])
nc = 0
for i in range(nv):
for k in range(i + 1, nv):
self.add_subsystem(
'dist_%i_%i' % (i, k),
AllDistComp(num_nodes=nn, limit=limit))
self.connect('x_%i' % i, 'dist_%i_%i.x1' % (i, k))
self.connect('y_%i' % i, 'dist_%i_%i.y1' % (i, k))
self.connect('x_%i' % k, 'dist_%i_%i.x2' % (i, k))
self.connect('y_%i' % k, 'dist_%i_%i.y2' % (i, k))
nc += 1
if aggregate == 'mine':
self.add_subsystem('aggmux',
AggregateMux(num_nodes=nn, nc=nc))
nc = 0
for i in range(nv):
for k in range(i + 1, nv):
self.connect('dist_%i_%i.dist' % (i, k),
'aggmux.dist_%i' % nc)
nc += 1
elif aggregate == 'ks':
self.add_subsystem('aggmux',
AggregateMuxKS(num_nodes=nn, nc=nc))
nc = 0
for i in range(nv):
for k in range(i + 1, nv):
self.connect('dist_%i_%i.dist' % (i, k),
'aggmux.dist_%i' % nc)
nc += 1
self.add_subsystem('ks', om.KSComp(width=nc, vec_size=nn))
self.connect('aggmux.distks', 'ks.g')
elif aggregate == 'none':
self.add_subsystem('aggmux',
AggregateMuxKS(num_nodes=nn, nc=nc))
nc = 0
for i in range(nv):
for k in range(i + 1, nv):
self.connect('dist_%i_%i.dist' % (i, k),
'aggmux.dist_%i' % nc)
nc += 1
def setup(self):
E = self.options['E']
L = self.options['L']
b = self.options['b']
volume = self.options['volume']
max_bending = self.options['max_bending']
num_elements = self.options['num_elements']
num_nodes = num_elements + 1
num_cp = self.options['num_cp']
num_load_cases = self.options['num_load_cases']
parallel_derivs = self.options['parallel_derivs']
inputs_comp = om.IndepVarComp()
inputs_comp.add_output('h_cp', shape=num_cp)
self.add_subsystem('inputs_comp', inputs_comp)
comp = om.BsplinesComp(num_control_points=num_cp,
num_points=num_elements,
in_name='h_cp',
out_name='h')
self.add_subsystem('interp', comp)
I_comp = MomentOfInertiaComp(num_elements=num_elements, b=b)
self.add_subsystem('I_comp', I_comp)
comp = LocalStiffnessMatrixComp(num_elements=num_elements, E=E, L=L)
self.add_subsystem('local_stiffness_matrix_comp', comp)
# Parallel Subsystem for load cases.
par = self.add_subsystem('parallel', om.ParallelGroup())
# Determine how to split cases up over the available procs.
nprocs = self.comm.size
divide = divide_cases(num_load_cases, nprocs)
for j, this_proc in enumerate(divide):
num_rhs = len(this_proc)
name = 'sub_%d' % j
sub = par.add_subsystem(name, om.Group())
# Load is a sinusoidal distributed force of varying spatial frequency.
force_vector = np.zeros((2 * num_nodes, num_rhs))
for i, k in enumerate(this_proc):
end = 1.5 * np.pi
if num_load_cases > 1:
end += k * 0.5 * np.pi / (num_load_cases - 1)
x = np.linspace(0, end, num_nodes)
f = -np.sin(x)
force_vector[0:-1:2, i] = f
comp = MultiStatesComp(num_elements=num_elements,
force_vector=force_vector,
num_rhs=num_rhs)
sub.add_subsystem('states_comp', comp)
comp = MultiDisplacementsComp(num_elements=num_elements,
num_rhs=num_rhs)
sub.add_subsystem('displacements_comp', comp)
comp = MultiStressComp(num_elements=num_elements,
E=E,
num_rhs=num_rhs)
sub.add_subsystem('stress_comp', comp)
self.connect('local_stiffness_matrix_comp.K_local',
'parallel.%s.states_comp.K_local' % name)
for k in range(num_rhs):
sub.connect('states_comp.d_%d' % k,
'displacements_comp.d_%d' % k)
sub.connect('displacements_comp.displacements_%d' % k,
'stress_comp.displacements_%d' % k)
comp = om.KSComp(width=num_elements)
comp.options['upper'] = max_bending
sub.add_subsystem('KS_%d' % k, comp)
sub.connect('stress_comp.stress_%d' % k, 'KS_%d.g' % k)
if parallel_derivs:
color = 'red_%d' % k
else:
color = None
sub.add_constraint('KS_%d.KS' % k,
upper=0.0,
parallel_deriv_color=color)
comp = VolumeComp(num_elements=num_elements, b=b, L=L)
self.add_subsystem('volume_comp', comp)
self.connect('inputs_comp.h_cp', 'interp.h_cp')
self.connect('interp.h', 'I_comp.h')
self.connect('I_comp.I', 'local_stiffness_matrix_comp.I')
self.connect('interp.h', 'volume_comp.h')
self.add_design_var('inputs_comp.h_cp', lower=1e-2, upper=10.)
self.add_objective('volume_comp.volume')