Given an initial function of time that is a unit quaternion, transitions to a constant-in-time unit quaternion. More...

#include <SettleToConstantQuaternion.hpp>

Public Member Functions
	SettleToConstantQuaternion (const std::array< DataVector, 3 > &initial_func_and_derivs, double match_time, double decay_time)

	SettleToConstantQuaternion (SettleToConstantQuaternion &&)=default

SettleToConstantQuaternion &	operator= (SettleToConstantQuaternion &&)=default

	SettleToConstantQuaternion (const SettleToConstantQuaternion &)=default

SettleToConstantQuaternion &	operator= (const SettleToConstantQuaternion &)=default

	WRAPPED_PUPable_decl_template (SettleToConstantQuaternion)

	SettleToConstantQuaternion (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...

double	expiration_after (const double) const override
	The first expiration time after `time`. 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::unique_ptr< FunctionOfTime >	create_at_time (const double, const double) const
	Create a FunctionOfTime at time `t` as if one had created a new FunctionOfTime with `t` as its initial time, except the initial values of new FunctionOfTime are the exact values of the old FunctionOfTime at time `t`, and the new expriation is `expiration_time`. More...

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 double	expiration_after (double time) const =0
	The first expiration time after `time`. 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 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...

virtual std::vector< DataVector >	func_and_all_derivs (double t) const
	All derivatives a function of time has to offer (because it can be more than 2) More...

	WRAPPED_PUPable_abstract (FunctionOfTime)

Friends
bool	operator== (const SettleToConstantQuaternion &lhs, const SettleToConstantQuaternion &rhs)

Detailed Description

Given an initial function of time that is a unit quaternion, transitions to a constant-in-time unit quaternion.

Given an initial unit quaternion \(\mathbf{f}(t)\) and its first two derivatives at the matching time \(t_0\), return a function of time \(\mathbf{g}(t)\) satisfies \(\mathbf{g}(t=t_0)=\mathbf{f}f(t=t_0)\) and approaches a constant value for \(t > t_0\) on a timescale of \(\tau\). This is done by internally holding a SettleToConstant function of time initialized from \(\mathbf{f}(t)\) and its first two derivatives at the matching time, but then ensuring that \(\mathbf{g}(t)\) remains a unit quaternion.

Member Function Documentation

◆ expiration_after()

double domain::FunctionsOfTime::SettleToConstantQuaternion::expiration_after ( const double time ) const

inlineoverridevirtual

The first expiration time after time.

Details

For non-updatable functions, this returns infinity. For updatable functions, the first expiration time after time is found by determining the update immediately before time. The expiration time of this update is what is returned. If time happens to be an update itself, then the expiration of that update is returned.

Implements domain::FunctionsOfTime::FunctionOfTime.