formulation module¶
The base class for all MDO formulations.
- class gemseo.core.formulation.MDOFormulation(disciplines, objective_name, design_space, maximize_objective=False, grammar_type='JSONGrammar', **options)[source]¶
Bases:
gemseo.core.base_formulation.BaseFormulation
Abstract MDO formulation class to be extended in subclasses for use.
This class creates the objective function and constraints from the disciplines. It defines the process implicitly.
By default,
the objective function is minimized,
the type of a constraint is equality,
the activation value of a constraint is 0.
The link between the instances of
MDODiscipline
, the name of the objective function and the names of the constraints is made with theMDOFunctionGenerator
, which generates instances ofMDOFunction
from the disciplines.- Parameters
disciplines (Sequence[MDODiscipline]) – The disciplines.
objective_name (str | Sequence[str]) – The name of the objective function. If a sequence is passed, a vector objective function is created.
design_space (DesignSpace) – The design space.
maximize_objective (bool) –
If True, the objective function is maximized.
By default it is set to False.
grammar_type (str) –
The type of the input and output grammars, either
MDODiscipline.JSON_GRAMMAR_TYPE
orMDODiscipline.SIMPLE_GRAMMAR_TYPE
.By default it is set to JSONGrammar.
**options (Any) – The options of the formulation.
- Return type
None
- add_constraint(output_name, constraint_type='eq', constraint_name=None, value=None, positive=False)¶
Add a user constraint.
A user constraint is a design constraint in addition to the formulation specific constraints such as the targets (a.k.a. consistency constraints) in IDF.
The strategy of repartition of constraints is defined in the formulation class.
- Parameters
output_name (str) – The name of the output to be used as a constraint. For instance, if g_1 is given and constraint_type=”eq”, g_1=0 will be added as a constraint to the optimizer.
constraint_type (str) –
The type of constraint, either “eq” for equality constraint or “ineq” for inequality constraint.
By default it is set to eq.
constraint_name (str | None) –
The name of the constraint to be stored, If None, the name is generated from the output name.
By default it is set to None.
value (float | None) –
The value of activation of the constraint. If None, the value is equal to 0.
By default it is set to None.
positive (bool) –
If True, the inequality constraint is positive.
By default it is set to False.
- Return type
None
- add_observable(output_names, observable_name=None, discipline=None)¶
Add an observable to the optimization problem.
The repartition strategy of the observable is defined in the formulation class.
- Parameters
output_names (str | Sequence[str]) – The name(s) of the output(s) to observe.
observable_name (str | None) –
The name of the observable.
By default it is set to None.
discipline (MDODiscipline | None) –
The discipline computing the observed outputs. If None, the discipline is detected from inner disciplines.
By default it is set to None.
- Return type
None
- classmethod get_default_sub_options_values(**options)¶
Get the default values of the sub-options of the formulation.
When some options of the formulation depend on higher level options, the default values of these sub-options may be obtained here, mainly for use in the API.
- get_expected_dataflow()¶
Get the expected data exchange sequence.
This method is used for the XDSM representation and can be overloaded by subclasses.
- Returns
The expected sequence of data exchange where the i-th item is described by the starting discipline, the ending discipline and the coupling variables.
- Return type
list[tuple[gemseo.core.discipline.MDODiscipline, gemseo.core.discipline.MDODiscipline, list[str]]]
- get_expected_workflow()¶
Get the expected sequence of execution of the disciplines.
This method is used for the XDSM representation and can be overloaded by subclasses.
For instance:
[A, B] denotes the execution of A, then the execution of B
(A, B) denotes the concurrent execution of A and B
[A, (B, C), D] denotes the execution of A, then the concurrent execution of B and C, then the execution of D.
- Returns
A sequence of elements which are either an
ExecutionSequence
or a tuple ofExecutionSequence
for concurrent execution.- Return type
list[gemseo.core.execution_sequence.ExecutionSequence, tuple[gemseo.core.execution_sequence.ExecutionSequence]]
- get_optim_variables_names()¶
Get the optimization unknown names to be provided to the optimizer.
This is different from the design variable names provided by the user, since it depends on the formulation, and can include target values for coupling for instance in IDF.
- get_sub_disciplines()¶
Accessor to the sub-disciplines.
This method lists the sub scenarios’ disciplines.
- Returns
The sub-disciplines.
- Return type
- classmethod get_sub_options_grammar(**options)¶
Get the sub-options grammar.
When some options of the formulation depend on higher level options, the schema of the sub-options may be obtained here, mainly for use in the API.
- Parameters
**options (str) – The options required to deduce the sub-options grammar.
- Returns
Either None or the sub-options grammar.
- Return type
- get_sub_scenarios()¶
List the disciplines that are actually scenarios.
- get_top_level_disc()¶
Return the disciplines which inputs are required to run the scenario.
A formulation seeks to evaluate objective function and constraints from inputs. It structures the optimization problem into multiple levels of disciplines. The disciplines directly depending on these inputs are called top level disciplines.
By default, this method returns all disciplines. This method can be overloaded by subclasses.
- Returns
The top level disciplines.
- Return type
- get_x_mask_x_swap_order(masking_data_names, all_data_names=None)¶
Mask a vector from a subset of names, with respect to a set of names.
This method eventually swaps the order of the values if the order of the data names is inconsistent between these sets.
- Parameters
- Returns
The masked version of the input vector.
- Raises
IndexError – when the sizes of variables are inconsistent.
ValueError – when the names of variables are inconsistent.
- Return type
ndarray
- get_x_names_of_disc(discipline)¶
Get the design variables names of a given discipline.
- Parameters
discipline (gemseo.core.discipline.MDODiscipline) – The discipline.
- Returns
The names of the design variables.
- Return type
- mask_x_swap_order(masking_data_names, x_vect, all_data_names=None)¶
Mask a vector from a subset of names, with respect to a set of names.
This method eventually swaps the order of the values if the order of the data names is inconsistent between these sets.
- Parameters
- Returns
The masked version of the input vector.
- Raises
IndexError – when the sizes of variables are inconsistent.
- Return type
ndarray
- unmask_x_swap_order(masking_data_names, x_masked, all_data_names=None, x_full=None)¶
Unmask a vector from a subset of names, with respect to a set of names.
This method eventually swaps the order of the values if the order of the data names is inconsistent between these sets.
- Parameters
masking_data_names (Iterable[str]) – The names of the kept data.
x_masked (ndarray) – The boolean vector to unmask.
all_data_names (Iterable[str] | None) –
The set of all names. If None, use the design variables stored in the design space.
By default it is set to None.
x_full (ndarray) –
The default values for the full vector. If None, use the zero vector.
By default it is set to None.
- Returns
The vector related to the input mask.
- Raises
IndexError – when the sizes of variables are inconsistent.
- Return type
ndarray
- property design_space: gemseo.algos.design_space.DesignSpace¶
The design space on which the formulation is applied.
- disciplines: Sequence[MDODiscipline]¶
The disciplines of the MDO process.
- opt_problem: OptimizationProblem¶
The optimization problem generated by the formulation from the disciplines.