def test_InitialEquilibrium(self):
obj = EquationSolver()
obj.RunEquationReduction = False
# By forcing 't' into the variable list, no automatic creation of time variables
obj.ParseString("""
x=t
z=x+1
w=z(k-1)
z(0) = 2.
exogenous
t=[10.]*20
MaxTime=3""")
obj.ExtractVariableList()
obj.SetInitialConditions()
obj.ParameterInitialSteadyStateMaxTime = 3
copied_solver = obj.CalculateInitialSteadyState()
self.assertEqual([
10.,
], obj.TimeSeries['x'])
self.assertEqual([
11.,
], obj.TimeSeries['z'])
self.assertEqual([
11.,
], obj.TimeSeries['w'])
self.assertEqual([2., 11., 11., 11.], copied_solver.TimeSeries['z'])
self.assertEqual([0., 2., 11., 11.], copied_solver.TimeSeries['w'])
def test_SolveEquation(self):
obj = EquationSolver()
obj.RunEquationReduction = False
# By forcing 't' into the variable list, no automatic creation of time variables
obj.ParseString("""
x=t
z=x+1
z(0) = 2.
exogenous
t=[10.]*20
MaxTime=3""")
obj.ExtractVariableList()
obj.SetInitialConditions()
obj.SolveStep(1)
obj.SolveStep(2)
obj.SolveStep(3)
obj2 = EquationSolver()
obj2.RunEquationReduction = False
# By forcing 't' into the variable list, no automatic creation of time variables
obj2.ParseString("""
x=t
z=x+1
z(0) = 2.
exogenous
t=[10.]*20
MaxTime=3""")
obj2.SolveEquation()
self.assertEqual(obj.TimeSeries['x'], obj2.TimeSeries['x'])
def test_solver_logging(self):
Logger.cleanup()
mock = MockFile()
Logger.log_file_handles = {'step': mock}
obj = EquationSolver()
obj.TraceStep = 2
obj.RunEquationReduction = False
# By forcing 't' into the variable list, no automatic creation of time variables
obj.ParseString("""
x=t
z=x+1
z(0) = 2.
exogenous
t=[10.]*20
MaxTime=3""")
obj.ExtractVariableList()
obj.SetInitialConditions()
self.assertEqual([], mock.buffer)
obj.SolveStep(1)
self.assertEqual([], mock.buffer)
obj.SolveStep(2)
# I do not care what the contents are; I just want to validate
# that it triggers
self.assertTrue(len(mock.buffer) > 0)
# Reset the buffer
mock.buffer = []
obj.SolveStep(3)
self.assertEqual([], mock.buffer)
def test_ExtractVariableList_3(self):
obj = EquationSolver()
obj.RunEquationReduction = True
# By forcing 't' into the variable list, no automatic creation of time variables
obj.ParseString("""
x=t
z=x
exogenous
t=[10.]*20""")
obj.ExtractVariableList()
self.assertEqual(['t', 'x', 'z'], obj.VariableList)
def test_initial_conditions_bad_ic2(self):
obj = EquationSolver()
obj.RunEquationReduction = False
# By forcing 't' into the variable list, no automatic creation of time variables
obj.ParseString("""
x=t
z=x(k-1)
exogenous
t=kaboom
MaxTime=3""")
obj.ExtractVariableList()
with self.assertRaises(ValueError):
obj.SetInitialConditions()
def test_FailLog0(self):
obj = EquationSolver()
obj.RunEquationReduction = False
# This equation will initially have a divide by zero error; the algorithm will step over that.
# This is because the initial guess for Z = 0.
obj.ParseString("""
x = log10(0)
exogenous
t=[10.]*20
MaxTime=3""")
obj.ExtractVariableList()
obj.SetInitialConditions()
with self.assertRaises(ValueError):
obj.SolveStep(1)
def test_SolveStep_3(self):
obj = EquationSolver()
obj.RunEquationReduction = False
# By forcing 't' into the variable list, no automatic creation of time variables
obj.ParseString("""
x=t
z=x(k-1)
exogenous
t=[10.]*20
MaxTime=3""")
obj.ExtractVariableList()
obj.SetInitialConditions()
obj.MaxIterations = 0
with self.assertRaises(ConvergenceError):
obj.SolveStep(1)
def test_InitialEquilibrium_fail_bad_eqn(self):
obj = EquationSolver()
obj.RunEquationReduction = False
# By forcing 't' into the variable list, no automatic creation of time variables
obj.ParseString("""
x=foo
exogenous
t=[10.]*20
MaxTime=3""")
obj.ExtractVariableList()
obj.SetInitialConditions()
Parameters.InitialEquilbriumMaxTime = 3
obj.MaxIterations = 2
with self.assertRaises(NameError):
obj.CalculateInitialSteadyState()
def test_DivideZeroSkip(self):
obj = EquationSolver()
obj.RunEquationReduction = False
# This equation will initially have a divide by zero error; the algorithm will step over that.
# This is because the initial guess for Z = 0.
obj.ParseString("""
z = t
x=1/z
exogenous
t=[0., 10., 10., 10.]
MaxTime=3""")
obj.ExtractVariableList()
obj.SetInitialConditions()
obj.SolveStep(1)
obj.SolveStep(2)
self.assertEqual([0., .1, .1], obj.TimeSeries['x'])
def test_InitialEquilibrium_no_convergence(self):
obj = EquationSolver()
obj.RunEquationReduction = False
# By forcing 't' into the variable list, no automatic creation of time variables
obj.ParseString("""
x=t
u = v+1
v = u(k-1)
exogenous
t=[10.]*20
MaxTime=3""")
obj.ExtractVariableList()
obj.SetInitialConditions()
Parameters.InitialEquilbriumMaxTime = 3
Parameters.InitialEquilibriumExcludedVariables = ['x']
with self.assertRaises(NoEquilibriumError):
obj.CalculateInitialSteadyState()
def test_decoration_fail(self):
obj = EquationSolver()
obj.RunEquationReduction = True
# By forcing 't' into the variable list, no automatic creation of time variables
obj.ParseString("""
x=2*t
y=z
z=x
exogenous
t=1.
MaxTime=3""")
# Need to break the decoration values;
obj.Parser.Decoration = [('y', 'x'), ('z', 'foo')]
obj.ExtractVariableList()
obj.SetInitialConditions()
with self.assertRaises(ValueError):
obj.SolveStep(1)
def test_initial_conditions_const_endo(self):
obj = EquationSolver()
obj.RunEquationReduction = False
# By forcing 't' into the variable list, no automatic creation of time variables
obj.ParseString("""
x=1.
z=2
exogenous
t=1.0
MaxTime=3""")
obj.ExtractVariableList()
obj.SetInitialConditions()
self.assertEqual([
1.,
], obj.TimeSeries['x'])
self.assertEqual([
2.,
], obj.TimeSeries['z'])
def test_initial_conditions_with_float_exo(self):
obj = EquationSolver()
obj.RunEquationReduction = True
# By forcing 't' into the variable list, no automatic creation of time variables
obj.ParseString("""
x=1.
z=y
y =x
exogenous
t=1.0
MaxTime=3""")
obj.ExtractVariableList()
self.assertEqual([
('t', '1.0'),
], obj.Parser.Exogenous)
# Turn it into a float.
obj.Parser.Exogenous = [('t', 1.)]
obj.SetInitialConditions()
self.assertEqual([1., 1., 1., 1.], obj.TimeSeries['t'])
def test_decoration1(self):
obj = EquationSolver()
obj.RunEquationReduction = True
# By forcing 't' into the variable list, no automatic creation of time variables
obj.ParseString("""
x=t
w=y
y=z
z=x
exogenous
t=1.
MaxTime=3""")
obj.ExtractVariableList()
obj.SetInitialConditions()
obj.SolveStep(1)
obj.SolveStep(2)
self.assertEqual([1., 1., 1.], obj.TimeSeries['w'])
self.assertEqual([1., 1., 1.], obj.TimeSeries['y'])
self.assertEqual([1., 1., 1.], obj.TimeSeries['z'])
def test_SetInitialConditions_1(self):
obj = EquationSolver()
obj.RunEquationReduction = False
# By forcing 't' into the variable list, no automatic creation of time variables
obj.ParseString("""
x=t
z=x
z(0) = sqrt(20.)
exogenous
t=[10.]*20
MaxTime=3""")
obj.ExtractVariableList()
obj.SetInitialConditions()
v = obj.TimeSeries
self.assertEqual([
10.,
] * 4, v['t'])
self.assertEqual([0, 1, 2, 3], v['k'])
self.assertEqual([10.], v['x'])
self.assertEqual([math.sqrt(20)], v['z'])
def test_FailLog0_maxiter(self):
obj = EquationSolver()
obj.RunEquationReduction = False
# This equation will initially have a divide by zero error; the algorithm will step over that.
# This is because the initial guess for Z = 0.
# This test is used to hit the case where we do not converge
obj.ParseString("""
z = t
y = z
w = y
x = log10(0)
exogenous
t=[10., 11., 12.]
MaxTime=2""")
obj.ExtractVariableList()
obj.SetInitialConditions()
obj.MaxIterations = 1
#obj.SolveStep(1)
with self.assertRaises(ValueError):
obj.SolveStep(1)
def test_SolveStep_1(self):
obj = EquationSolver()
obj.RunEquationReduction = False
# By forcing 't' into the variable list, no automatic creation of time variables
obj.ParseString("""
x=t
z=x+1
z(0) = 2.
exogenous
t=[10.]*20
MaxTime=3""")
obj.ExtractVariableList()
obj.SetInitialConditions()
obj.SolveStep(1)
self.assertEqual([10., 10.], obj.TimeSeries['x'])
# Note that equation does not hold at t=0
self.assertEqual([2., 11.], obj.TimeSeries['z'])
obj.SolveStep(2)
self.assertEqual([10., 10., 10.], obj.TimeSeries['x'])
# Note that equation does not hold at t=0
self.assertEqual([2., 11., 11.], obj.TimeSeries['z'])
def test_SolveWithFunction(self):
obj = EquationSolver()
obj.RunEquationReduction = False
# By forcing 't' into the variable list, no automatic creation of time variables
obj.ParseString("""
x=t
z=f(x)
exogenous
t=[10.]*20
MaxTime=3""")
obj.ExtractVariableList()
obj.SetInitialConditions()
def squarer(x):
return x * x
obj.AddFunction('f', squarer)
obj.SolveStep(1)
self.assertEqual([10., 10.], obj.TimeSeries['x'])
# Note that equation does not hold at t=0
self.assertEqual([0., 100.], obj.TimeSeries['z'])
obj.SolveStep(2)
def test_initial_conditions_const_decoration(self):
obj = EquationSolver()
obj.RunEquationReduction = True
# By forcing 't' into the variable list, no automatic creation of time variables
obj.ParseString("""
x=1.
z=y
y =x
exogenous
t=1.0
MaxTime=3""")
obj.ExtractVariableList()
obj.SetInitialConditions()
self.assertTrue(len(obj.Parser.Decoration) > 0)
self.assertEqual([
1.,
], obj.TimeSeries['x'])
self.assertEqual([
1.,
], obj.TimeSeries['z'])
self.assertEqual([
1.,
], obj.TimeSeries['y'])
def test_ExtractVariableList_1(self):
obj = EquationSolver()
obj.ExtractVariableList()
self.assertEqual([], obj.VariableList)
