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) noexcept | |
| FixedSpeedCubic (FixedSpeedCubic &&) noexcept=default | |
| FixedSpeedCubic & | operator= (FixedSpeedCubic &&) noexcept=default |
| FixedSpeedCubic (const FixedSpeedCubic &)=default | |
| FixedSpeedCubic & | operator= (const FixedSpeedCubic &)=default |
| WRAPPED_PUPable_decl_template (FixedSpeedCubic) | |
| FixedSpeedCubic (CkMigrateMessage *) | |
| auto | get_clone () const noexcept -> std::unique_ptr< FunctionOfTime > override |
| std::array< DataVector, 1 > | func (const double t) const noexcept override |
Returns the function at an arbitrary time t. More... | |
| std::array< DataVector, 2 > | func_and_deriv (const double t) const noexcept 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 noexcept override |
Returns the function and the first two derivatives at an arbitrary time t. More... | |
| std::array< double, 2 > | time_bounds () const noexcept 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 &&) noexcept=default | |
| FunctionOfTime & | operator= (FunctionOfTime &&) noexcept=default |
| FunctionOfTime (const FunctionOfTime &)=default | |
| FunctionOfTime & | operator= (const FunctionOfTime &)=default |
| WRAPPED_PUPable_abstract (FunctionOfTime) | |
Friends | |
| bool | operator== (const FixedSpeedCubic &lhs, const FixedSpeedCubic &rhs) noexcept |
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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inlineoverridevirtualnoexcept |
Returns the function at an arbitrary time t.
Implements domain::FunctionsOfTime::FunctionOfTime.
◆ func_and_2_derivs()
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inlineoverridevirtualnoexcept |
Returns the function and the first two derivatives at an arbitrary time t.
Implements domain::FunctionsOfTime::FunctionOfTime.
◆ func_and_deriv()
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inlineoverridevirtualnoexcept |
Returns the function and its first derivative at an arbitrary time t.
Implements domain::FunctionsOfTime::FunctionOfTime.
◆ get_clone()
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overridevirtualnoexcept |
Implements domain::FunctionsOfTime::FunctionOfTime.
◆ time_bounds()
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inlineoverridevirtualnoexcept |
Returns the domain of validity of the function.
Implements domain::FunctionsOfTime::FunctionOfTime.