def test_simple_in_group_matvec(self):
group = Group()
group.add('x_param', ParamComp('x', 1.0), promotes=['*'])
sub = group.add('sub', Group(), promotes=['x', 'y'])
sub.add('mycomp', SimpleCompDerivMatVec(), promotes=['x', 'y'])
prob = Problem()
prob.root = group
prob.root.ln_solver = LinearGaussSeidel()
prob.root.sub.ln_solver = LinearGaussSeidel()
prob.setup(check=False)
prob.run()
J = prob.calc_gradient(['x'], ['y'], mode='fwd', return_format='dict')
assert_rel_error(self, J['y']['x'][0][0], 2.0, 1e-6)
J = prob.calc_gradient(['x'], ['y'], mode='rev', return_format='dict')
assert_rel_error(self, J['y']['x'][0][0], 2.0, 1e-6)
def test_fan_in_grouped_GS_GS(self):
prob = Problem()
prob.root = FanInGrouped()
prob.root.ln_solver = LinearGaussSeidel()
prob.root.sub.ln_solver = LinearGaussSeidel()
prob.setup(check=False)
prob.run()
param_list = ['p1.x1', 'p2.x2']
unknown_list = ['comp3.y']
J = prob.calc_gradient(param_list, unknown_list, mode='fwd', return_format='dict')
assert_rel_error(self, J['comp3.y']['p1.x1'][0][0], -6.0, 1e-6)
assert_rel_error(self, J['comp3.y']['p2.x2'][0][0], 35.0, 1e-6)
J = prob.calc_gradient(param_list, unknown_list, mode='rev', return_format='dict')
assert_rel_error(self, J['comp3.y']['p1.x1'][0][0], -6.0, 1e-6)
assert_rel_error(self, J['comp3.y']['p2.x2'][0][0], 35.0, 1e-6)
def test_sellar_derivs(self):
prob = Problem()
prob.root = SellarDerivatives()
prob.root.ln_solver = LinearGaussSeidel()
prob.root.ln_solver.options['maxiter'] = 4
prob.root.nl_solver.options['atol'] = 1e-12
prob.setup(check=False)
prob.run()
# Just make sure we are at the right answer
assert_rel_error(self, prob['y1'], 25.58830273, .00001)
assert_rel_error(self, prob['y2'], 12.05848819, .00001)
param_list = ['x', 'z']
param_list = ['x']
unknown_list = ['obj', 'con1', 'con2']
Jbase = {}
Jbase['con1'] = {}
Jbase['con1']['x'] = -0.98061433
Jbase['con1']['z'] = np.array([-9.61002285, -0.78449158])
Jbase['con2'] = {}
Jbase['con2']['x'] = 0.09692762
Jbase['con2']['z'] = np.array([1.94989079, 1.0775421 ])
Jbase['obj'] = {}
Jbase['obj']['x'] = 2.98061392
Jbase['obj']['z'] = np.array([9.61001155, 1.78448534])
J = prob.calc_gradient(param_list, unknown_list, mode='fwd', return_format='dict')
print(J)
#for key1, val1 in Jbase.items():
#for key2, val2 in val1.items():
#assert_rel_error(self, J[key1][key2], val2, .00001)
J = prob.calc_gradient(param_list, unknown_list, mode='rev', return_format='dict')
print(J)
#for key1, val1 in Jbase.items():
#for key2, val2 in val1.items():
#assert_rel_error(self, J[key1][key2], val2, .00001)
prob.root.fd_options['form'] = 'central'
J = prob.calc_gradient(param_list, unknown_list, mode='fd', return_format='dict')
print(J)
#for key1, val1 in Jbase.items():
#for key2, val2 in val1.items():
#assert_rel_error(self, J[key1][key2], val2, .00001)
# Obviously this test doesn't do much right now, but I need to verify
# we don't get a keyerror here.
J = prob.calc_gradient(param_list, unknown_list, mode='fd', return_format='array')
def test_single_diamond(self):
prob = Problem()
prob.root = SingleDiamond()
prob.root.ln_solver = LinearGaussSeidel()
prob.setup(check=False)
prob.run()
param_list = ['p.x']
unknown_list = ['comp4.y1', 'comp4.y2']
J = prob.calc_gradient(param_list, unknown_list, mode='fwd', return_format='dict')
assert_rel_error(self, J['comp4.y1']['p.x'][0][0], 25, 1e-6)
assert_rel_error(self, J['comp4.y2']['p.x'][0][0], -40.5, 1e-6)
J = prob.calc_gradient(param_list, unknown_list, mode='rev', return_format='dict')
assert_rel_error(self, J['comp4.y1']['p.x'][0][0], 25, 1e-6)
assert_rel_error(self, J['comp4.y2']['p.x'][0][0], -40.5, 1e-6)
def test_fan_out_grouped(self):
prob = Problem()
prob.root = FanOutGrouped()
prob.root.ln_solver = LinearGaussSeidel()
prob.setup(check=False)
prob.run()
param_list = ['p.x']
unknown_list = ['sub.comp2.y', "sub.comp3.y"]
J = prob.calc_gradient(param_list, unknown_list, mode='fwd', return_format='dict')
assert_rel_error(self, J['sub.comp2.y']['p.x'][0][0], -6.0, 1e-6)
assert_rel_error(self, J['sub.comp3.y']['p.x'][0][0], 15.0, 1e-6)
J = prob.calc_gradient(param_list, unknown_list, mode='rev', return_format='dict')
assert_rel_error(self, J['sub.comp2.y']['p.x'][0][0], -6.0, 1e-6)
assert_rel_error(self, J['sub.comp3.y']['p.x'][0][0], 15.0, 1e-6)
def test_array2D(self):
group = Group()
group.add('x_param', ParamComp('x', np.ones((2, 2))), promotes=['*'])
group.add('mycomp', ArrayComp2D(), promotes=['x', 'y'])
prob = Problem()
prob.root = group
prob.root.ln_solver = LinearGaussSeidel()
prob.setup(check=False)
prob.run()
J = prob.calc_gradient(['x'], ['y'], mode='fwd', return_format='dict')
Jbase = prob.root.mycomp._jacobian_cache
diff = np.linalg.norm(J['y']['x'] - Jbase['y', 'x'])
assert_rel_error(self, diff, 0.0, 1e-8)
J = prob.calc_gradient(['x'], ['y'], mode='rev', return_format='dict')
diff = np.linalg.norm(J['y']['x'] - Jbase['y', 'x'])
assert_rel_error(self, diff, 0.0, 1e-8)
def test_two_simple(self):
group = Group()
group.add('x_param', ParamComp('x', 1.0))
group.add('comp1', ExecComp(['y=2.0*x']))
group.add('comp2', ExecComp(['z=3.0*y']))
prob = Problem()
prob.root = group
prob.root.ln_solver = LinearGaussSeidel()
prob.root.connect('x_param.x', 'comp1.x')
prob.root.connect('comp1.y', 'comp2.y')
prob.setup(check=False)
prob.run()
J = prob.calc_gradient(['x_param.x'], ['comp2.z'], mode='fwd', return_format='dict')
assert_rel_error(self, J['comp2.z']['x_param.x'][0][0], 6.0, 1e-6)
J = prob.calc_gradient(['x_param.x'], ['comp2.z'], mode='rev', return_format='dict')
assert_rel_error(self, J['comp2.z']['x_param.x'][0][0], 6.0, 1e-6)
def test_converge_diverge_groups(self):
prob = Problem()
prob.root = ConvergeDivergeGroups()
prob.root.ln_solver = LinearGaussSeidel()
prob.setup(check=False)
prob.run()
# Make sure value is fine.
assert_rel_error(self, prob['comp7.y1'], -102.7, 1e-6)
param_list = ['p.x']
unknown_list = ['comp7.y1']
J = prob.calc_gradient(param_list, unknown_list, mode='fwd', return_format='dict')
assert_rel_error(self, J['comp7.y1']['p.x'][0][0], -40.75, 1e-6)
J = prob.calc_gradient(param_list, unknown_list, mode='rev', return_format='dict')
assert_rel_error(self, J['comp7.y1']['p.x'][0][0], -40.75, 1e-6)
J = prob.calc_gradient(param_list, unknown_list, mode='fd', return_format='dict')
assert_rel_error(self, J['comp7.y1']['p.x'][0][0], -40.75, 1e-6)