GPkit encourages an object-oriented modeling approach, where the modeler creates objects that inherit from Model to break large systems down into subsystems and analysis domains. The benefits of this approach include modularity, reusability, and the ability to more closely follow mental models of system hierarchy. For example: two different models for a simple beam, designed by different modelers, should be able to be used interchangeably inside another subsystem (such as an aircraft wing) without either modeler having to write specifically with that use in mind.
When you create a class that inherits from Model, write a .setup() method to create the model's variables and return its constraints. GPkit.Model.__init__ will call that method and automatically add your model's name and unique ID to any created variables.
Variables created in a setup method are added to the model even if they are not present in any constraints. This allows for simplistic 'template' models, which assume constant values for parameters and can grow incrementally in complexity as those variables are freed.
At the end of this page a detailed example shows this technique in practice.
gpkit.Vectorize creates an environment in which Variables are created with an additional dimension:
"from gpkit/tests/t_vars.py"
def test_shapes(self):
with gpkit.Vectorize(3):
with gpkit.Vectorize(5):
y = gpkit.Variable("y")
x = gpkit.VectorVariable(2, "x")
z = gpkit.VectorVariable(7, "z")
self.assertEqual(y.shape, (5, 3))
self.assertEqual(x.shape, (2, 5, 3))
self.assertEqual(z.shape, (7, 3))This allows models written with scalar constraints to be created with vector constraints:
.. literalinclude:: examples/vectorize.py
.. literalinclude:: examples/vectorize_output.txt
In many engineering models, there is a physical object that is operated in multiple conditions. Some variables correspond to the design of the object (size, weight, construction) while others are vectorized over the different conditions (speed, temperature, altitude). By combining named models and vectorization we can create intuitive representations of these systems while maintaining modularity and interoperability.
In the example below, the models Aircraft and Wing have a .dynamic() method which creates instances of AircraftPerformance and WingAero, respectively. The Aircraft and Wing models create variables, such as size and weight without fuel, that represent a physical object. The dynamic models create properties that change based on the flight conditions, such as drag and fuel weight.
This means that when an aircraft is being optimized for a mission, you can create the aircraft (AC in this example) and then pass it to a Mission model which can create vectorized aircraft performance models for each flight segment and/or flight condition.
.. literalinclude:: examples/performance_modeling.py
.. literalinclude:: examples/performance_modeling_output.txt