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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,142 @@ | ||
| """ | ||
| Classes for representing two-point boundary value problems. | ||
| @author : David R. Pugh | ||
| """ | ||
| import equilibria | ||
| import models | ||
|
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| class TwoPointBVPLike(object): | ||
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| @property | ||
| def boundary_conditions(self): | ||
| """ | ||
| Boundary conditions for the problem. | ||
| :getter: Return the boundary conditions for the problem. | ||
| :setter: Set new boundary conditions for the problem. | ||
| :type: dict | ||
| """ | ||
| return self._boundary_conditions | ||
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| @boundary_conditions.setter | ||
| def boundary_conditions(self, conditions): | ||
| """Set new boundary conditions for the model.""" | ||
| self._boundary_conditions = self._validate_boundary(conditions) | ||
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| def _sufficient_boundary(self, conditions): | ||
| """Check that there are sufficient boundary conditions.""" | ||
| number_conditions = 0 | ||
| if conditions['lower'] is not None: | ||
| number_conditions += len(conditions['lower']) | ||
| if conditions['upper'] is not None: | ||
| number_conditions += len(conditions['upper']) | ||
| return number_conditions == len(self.dependent_vars) | ||
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| def _validate_boundary(self, conditions): | ||
| """Validate a dictionary of lower and upper boundary conditions.""" | ||
| if not isinstance(conditions, dict): | ||
| mesg = "Attribute `boundary_conditions` must have type `dict` not {}" | ||
| raise AttributeError(mesg.format(conditions.__class__)) | ||
| elif not (set(conditions.keys()) < set(['lower', 'upper', None])): | ||
| mesg = "Keys for `boundary_conditions` dict must be {}, {}, or {}" | ||
| raise AttributeError(mesg.format('lower', 'upper', 'None')) | ||
| elif not self._sufficient_boundary(conditions): | ||
| mesg = "Number of conditions must equal number of dependent vars." | ||
| raise ValueError(mesg) | ||
| else: | ||
| return conditions | ||
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| class SymbolicTwoPointBVPLike(TwoPointBVPLike, models.SymbolicModelLike): | ||
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| __lower_boundary_condition = None | ||
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| __upper_boundary_condition = None | ||
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| @property | ||
| def equilibrium(self): | ||
| """ | ||
| Object representing the model equilibrium. | ||
| :getter: Return the current object. | ||
| :type: equilibria.Equilibrium | ||
| """ | ||
| return equilibria.Equilibrium(self) | ||
|
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| @property | ||
| def _lower_boundary_condition(self): | ||
| """Cache lambdified lower boundary condition for numerical evaluation.""" | ||
| condition = self.boundary_conditions['lower'] | ||
| if condition is not None: | ||
| if self.__lower_boundary_condition is None: | ||
| self.__lower_boundary_condition = self._lambdify_factory(condition) | ||
| return self.__lower_boundary_condition | ||
| else: | ||
| return None | ||
|
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| @property | ||
| def _upper_boundary_condition(self): | ||
| """Cache lambdified upper boundary condition for numerical evaluation.""" | ||
| condition = self.boundary_conditions['upper'] | ||
| if condition is not None: | ||
| if self.__upper_boundary_condition is None: | ||
| self.__upper_boundary_condition = self._lambdify_factory(condition) | ||
| return self.__upper_boundary_condition | ||
| else: | ||
| return None | ||
|
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| def _validate_boundary(self, conditions): | ||
| """Validate a dictionary of lower and upper boundary conditions.""" | ||
| bcs = {'lower': self._validate_boundary_exprs(conditions['lower']), | ||
| 'upper': self._validate_boundary_exprs(conditions['upper'])} | ||
| return bcs | ||
|
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| def _validate_boundary_exprs(self, expressions): | ||
| """Check that lower/upper boundary_conditions are expressions.""" | ||
| if expressions is None: | ||
| return None | ||
| else: | ||
| return [self._validate_expression(expr) for expr in expressions] | ||
|
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| class SymbolicTwoPointBVP(SymbolicTwoPointBVPLike): | ||
| """Class for representing symbolic two-point boundary value problems.""" | ||
|
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| def __init__(self, boundary_conditions, dependent_vars, independent_var, params, rhs): | ||
| """Create an instance of a two-point boundary value problem (BVP).""" | ||
| self.boundary_conditions = boundary_conditions | ||
| self.dependent_vars = dependent_vars | ||
| self.independent_var = independent_var | ||
| self.params = params | ||
| self.rhs = rhs | ||
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| def _validate_boundary(self, conditions): | ||
| """Validate a dictionary of lower and upper boundary conditions.""" | ||
| super(SymbolicTwoPointBVP, self)._validate_boundary(conditions) | ||
| bcs = {'lower': self._validate_boundary_exprs(conditions['lower']), | ||
| 'upper': self._validate_boundary_exprs(conditions['upper'])} | ||
| return bcs | ||
|
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| def _validate_boundary_exprs(self, expressions): | ||
| """Check that lower/upper boundary_conditions are expressions.""" | ||
| if expressions is None: | ||
| return None | ||
| else: | ||
| return [self._validate_expression(expr) for expr in expressions] | ||
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| class TwoPointBVP(TwoPointBVPLike): | ||
| """Class for representing two-point boundary value problems.""" | ||
|
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| def __init__(self, boundary_conditions, dependent_vars, independent_var, params, rhs): | ||
| """Create an instance of a two-point boundary value problem (BVP).""" | ||
| self.boundary_conditions = boundary_conditions | ||
| self.dependent_vars = dependent_vars | ||
| self.independent_var = independent_var | ||
| self.params = params | ||
| self.rhs = rhs |
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