Sets \(f(t)\) and derivatives using cubic rational functions, such that the first derivative approaches a constant and the second derivative approaches zero. More...
#include <FixedSpeedCubic.hpp>
Public Member Functions | |
| FixedSpeedCubic (double initial_function_value, double initial_time, double velocity, double decay_timescale) | |
| FixedSpeedCubic (FixedSpeedCubic &&)=default | |
| FixedSpeedCubic & | operator= (FixedSpeedCubic &&)=default |
| FixedSpeedCubic (const FixedSpeedCubic &)=default | |
| FixedSpeedCubic & | operator= (const FixedSpeedCubic &)=default |
| WRAPPED_PUPable_decl_template (FixedSpeedCubic) | |
| FixedSpeedCubic (CkMigrateMessage *) | |
| auto | get_clone () const -> std::unique_ptr< FunctionOfTime > override |
| std::array< DataVector, 1 > | func (const double t) const override |
Returns the function at an arbitrary time t. More... | |
| std::array< DataVector, 2 > | func_and_deriv (const double t) const override |
Returns the function and its first derivative at an arbitrary time t. More... | |
| std::array< DataVector, 3 > | func_and_2_derivs (const double t) const override |
Returns the function and the first two derivatives at an arbitrary time t. More... | |
| std::array< double, 2 > | time_bounds () const override |
| Returns the domain of validity of the function. More... | |
| void | pup (PUP::er &p) override |
 Public Member Functions inherited from domain::FunctionsOfTime::FunctionOfTime | |
| FunctionOfTime (FunctionOfTime &&)=default | |
| FunctionOfTime & | operator= (FunctionOfTime &&)=default |
| FunctionOfTime (const FunctionOfTime &)=default | |
| FunctionOfTime & | operator= (const FunctionOfTime &)=default |
| virtual auto | get_clone () const -> std::unique_ptr< FunctionOfTime >=0 |
| virtual std::array< double, 2 > | time_bounds () const =0 |
Returns the domain of validity of the function. For FunctionsOfTime that allow a small amount of time extrapolation, time_bounds tells you the bounds including the allowed extrapolation interval. More... | |
| virtual void | update (double, DataVector, double) |
| Updates the maximum derivative of the FunctionOfTime at a given time while also resetting the expiration. By default, a FunctionOfTime cannot be updated. More... | |
| virtual void | reset_expiration_time (double) |
| Resets the expiration time to a new value. By default, the expiration time of a FunctionOfTime cannot be reset. More... | |
| virtual std::array< DataVector, 1 > | func (double t) const =0 |
| The DataVector can be of any size. More... | |
| virtual std::array< DataVector, 2 > | func_and_deriv (double t) const =0 |
| The DataVector can be of any size. More... | |
| virtual std::array< DataVector, 3 > | func_and_2_derivs (double t) const =0 |
| The DataVector can be of any size. More... | |
| WRAPPED_PUPable_abstract (FunctionOfTime) | |
Friends | |
| bool | operator== (const FixedSpeedCubic &lhs, const FixedSpeedCubic &rhs) |
| std::ostream & | operator<< (std::ostream &os, const FixedSpeedCubic &fixed_speed_cubic) |
Detailed Description
Sets \(f(t)\) and derivatives using cubic rational functions, such that the first derivative approaches a constant and the second derivative approaches zero.
The resultant function of time is
\begin{align*} f(t) &= f_0 + \frac{v(t-t_0)^3}{\tau^2+(t-t_0)^2}, \end{align*}
where \(f_0\) is the value of the function \(f\) at the initial time \(t_0\), and \(v\) is the velocity that \(f^\prime(t)\) approaches on a timescale of \(\tau\).
Member Function Documentation
◆ func()
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inlineoverridevirtual |
Returns the function at an arbitrary time t.
Implements domain::FunctionsOfTime::FunctionOfTime.
◆ func_and_2_derivs()
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inlineoverridevirtual |
Returns the function and the first two derivatives at an arbitrary time t.
Implements domain::FunctionsOfTime::FunctionOfTime.
◆ func_and_deriv()
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inlineoverridevirtual |
Returns the function and its first derivative at an arbitrary time t.
Implements domain::FunctionsOfTime::FunctionOfTime.
◆ get_clone()
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overridevirtual |
Implements domain::FunctionsOfTime::FunctionOfTime.
◆ time_bounds()
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inlineoverridevirtual |
Returns the domain of validity of the function.
Implements domain::FunctionsOfTime::FunctionOfTime.
The documentation for this class was generated from the following file:
- src/Domain/FunctionsOfTime/FixedSpeedCubic.hpp