#include <CRungeKutta.h>

Public Types
enum	RKMethodStatus { INITIALIZE , RESTART , CONTINUE , ROOTFOUND , END , ERROR }

Public Member Functions
	CRungeKutta ()

std::string	getErrorMesssage () const

RKMethodStatus	operator() (const size_t pDim, C_FLOAT64 pY, C_FLOAT64 pTime, C_FLOAT64 pEndTime, const size_t rootCount, C_INT pRoots, const RKMethodStatus &status, const bool &oneStep, C_FLOAT64 rtol, C_FLOAT64 atol, unsigned C_INT32 pMaxSteps, EvalDeriv pEvalDerivatives, EvalRoot pEvalRoots)

	~CRungeKutta ()

Private Member Functions
void	advanceStep ()

void	allocateSpace ()

bool	checkODEState (const RKMethodStatus &status)

bool	checkParameter (const size_t pDim, C_FLOAT64 pY, C_FLOAT64 pTime, C_FLOAT64 pEndTime, const size_t rootCount, C_INT pRoots, const RKMethodStatus &status, C_FLOAT64 rtol, C_FLOAT64 atol, unsigned C_INT32 pMaxSteps, EvalDeriv pEvalDerivatives, EvalRoot pEvalRoots)

void	checkRoots ()

C_FLOAT64	deps (const C_FLOAT64 &)

void	doOneStep ()

C_FLOAT64	estimateError ()

C_FLOAT64	infNorm (const size_t &, const C_FLOAT64 *)

void	initialize (const size_t pDim, C_FLOAT64 pY, C_FLOAT64 pTime, C_FLOAT64 pEndTime, const size_t rootCount, C_INT pRoots, const RKMethodStatus &status, C_FLOAT64 rtol, C_FLOAT64 atol, unsigned C_INT32 pMaxSteps, EvalDeriv pEvalDerivatives, EvalRoot pEvalRoots)

void	interpolation (const C_FLOAT64, C_FLOAT64 *)

C_FLOAT64	rootValue (const C_FLOAT64 &time)

void	setCoeff ()

void	setInitialStepSize ()

void	setStatRecord ()

Private Attributes
C_FLOAT64	mA [8][8]

C_FLOAT64	mAbsTol

size_t	mAcceptNum

C_FLOAT64	mB [8]

C_FLOAT64	mC [8]

bool	mContinueFromInterpolation

C_FLOAT64	mE [8]

std::stringstream	mErrorMessage

C_FLOAT64	mFac

C_FLOAT64	mFacMax

C_FLOAT64	mFacMaxRej

C_FLOAT64	mFacMin

size_t	mfEvalNum

C_FLOAT64	mh

C_FLOAT64	mhMax

C_FLOAT64	mhMin

bool	mhNoFailed

C_FLOAT64	mI [8][8]

C_FLOAT64 **	mK

unsigned C_INT32	mMaxSteps

RKMethodStatus	mMethodStatus

size_t	mOrderY

size_t	mOrderYp

size_t	mP

EvalDeriv	mpDerivFunc

const size_t *	mpDim

EvalRoot	mpEventFunc

CBrent::Eval *	mpRootValueCalculator

C_FLOAT64 *	mpY

size_t	mRejectNum

C_FLOAT64	mRelTol

size_t	mrEvalNum

CVectorCore< C_INT >	mRootFound

size_t	mRootNum

C_FLOAT64 *	mRootValueRight

C_FLOAT64 *	mRootValuesLeft

C_FLOAT64 *	mRootValueTmp

size_t	mStage

size_t	mStepNum

C_FLOAT64	mTEnd

C_FLOAT64	mTLeft

C_FLOAT64	mTRight

C_FLOAT64 *	mYLeft

C_FLOAT64 *	mYRight

C_FLOAT64 *	mZ1

C_FLOAT64 *	mZ2

C_FLOAT64 *	mZ3

Member Enumeration Documentation

◆ RKMethodStatus

enum CRungeKutta::RKMethodStatus

Enumerator
INITIALIZE
RESTART
CONTINUE
ROOTFOUND
END
ERROR

Constructor & Destructor Documentation

◆ CRungeKutta()

CRungeKutta::CRungeKutta ( )

Default constructor

CRungeKutta

This class is the ODE solver in terms Ronge-Kutta Method ODE45.

File name: CRungeKutta.cpp Author: Shuo Wang Email: shuow.nosp@m.ang..nosp@m.learn.nosp@m.er@g.nosp@m.mail..nosp@m.com

Last change: 07, July 2014

References ERROR, mAbsTol, mAcceptNum, mContinueFromInterpolation, mFac, mFacMax, mFacMaxRej, mFacMin, mfEvalNum, mh, mhMax, mhMin, mhNoFailed, mK, mMaxSteps, mMethodStatus, mOrderY, mOrderYp, mP, mpDerivFunc, mpDim, mpEventFunc, mpRootValueCalculator, mpY, mRejectNum, mRelTol, mrEvalNum, mRootNum, mRootValueRight, mRootValuesLeft, mRootValueTmp, mStage, mStepNum, mTEnd, mTLeft, mTRight, mYLeft, mYRight, mZ1, mZ2, mZ3, and rootValue().

◆ ~CRungeKutta()

CRungeKutta::~CRungeKutta ( )

Default destructor

References mK, mpDerivFunc, mpEventFunc, mRootValueRight, mRootValuesLeft, mRootValueTmp, mStage, mYLeft, mYRight, mZ1, mZ2, mZ3, and pdelete.

Member Function Documentation

◆ advanceStep()

void CRungeKutta::advanceStep ( )

private

Update time, results and other necessary stuff

References C_FLOAT64, mContinueFromInterpolation, mK, mpDim, mStage, mTLeft, mTRight, mYLeft, and mYRight.

Referenced by operator()().

◆ allocateSpace()

void CRungeKutta::allocateSpace ( )

private

Allocate space for arrays used

Update time, results and other necessary stuff

References C_FLOAT64, MAX_STAGE, mK, mpDim, mRootNum, mRootValueRight, mRootValuesLeft, mRootValueTmp, mStage, mYLeft, mYRight, mZ1, mZ2, mZ3, and pdelete.

Referenced by initialize().

◆ checkODEState()

bool CRungeKutta::checkODEState ( const RKMethodStatus & status )

private

Check status of this ODE solver

Check the state attribute mODEState. If mODEState=0, first call of this method, initialization are required If mODEState=1, restart this method, method key parameters should be checked If mODEState=2, continue from last step which has an event (mODEState=3). First check if events left. If not, continue, else return with next event Else, method has error.

References CONTINUE, ERROR, INITIALIZE, mErrorMessage, mMethodStatus, and RESTART.

Referenced by operator()().

◆ checkParameter()

bool CRungeKutta::checkParameter	(	const size_t *	pDim,
		C_FLOAT64 *	pY,
		C_FLOAT64 *	pTime,
		C_FLOAT64 *	pEndTime,
		const size_t	rootCount,
		C_INT *	pRoots,
		const RKMethodStatus &	status,
		C_FLOAT64 *	rtol,
		C_FLOAT64 *	atol,
		unsigned C_INT32 *	pMaxSteps,
		EvalDeriv	pEvalDerivatives,
		EvalRoot	pEvalRoots
	)

private

Check parameters used in the integration

Check whether a slow function fired in this step Check parameters used in the integration

References mErrorMessage.

Referenced by initialize().

◆ checkRoots()

void CRungeKutta::checkRoots ( )

private

Check whether there is a root

References CVectorCore< CType >::array(), C_FLOAT64, C_INT, fatalError, CBrent::findRoot(), interpolation(), mContinueFromInterpolation, mMethodStatus, mpDim, mpRootValueCalculator, mpY, mRelTol, mrEvalNum, mRootFound, mRootNum, mRootValueRight, mRootValuesLeft, mRootValueTmp, mTLeft, mTRight, mYLeft, mYRight, mZ1, and ROOTFOUND.

Referenced by operator()().

◆ deps()

C_FLOAT64 CRungeKutta::deps ( const C_FLOAT64 & x )

inlineprivate

Calculate eps of a given value

References EPS0, and EPS1.

Referenced by operator()(), and setInitialStepSize().

◆ doOneStep()

void CRungeKutta::doOneStep ( )

private

Integral one step along time

References C_FLOAT64, mA, mB, mC, mh, mK, mpDerivFunc, mpDim, mStage, mTLeft, mTRight, mYLeft, mYRight, and mZ1.

Referenced by operator()().

◆ estimateError()

C_FLOAT64 CRungeKutta::estimateError ( )

private

Estimate error after executing one step If error is less than given tolerance, result is accept. Else, re-integral this step

References C_FLOAT64, mAbsTol, max, mE, mh, mK, mpDim, mRelTol, mStage, mYLeft, mYRight, mZ2, and mZ3.

Referenced by operator()().

◆ getErrorMesssage()

std::string CRungeKutta::getErrorMesssage ( ) const

References mErrorMessage.

Referenced by CHybridMethodODE45::integrateDeterministicPart().

◆ infNorm()

C_FLOAT64 CRungeKutta::infNorm	(	const size_t &	len,
		const C_FLOAT64 *	y
	)

private

Calculate infinity norm value

References C_FLOAT64.

Referenced by setInitialStepSize().

◆ initialize()

void CRungeKutta::initialize	(	const size_t *	pDim,
		C_FLOAT64 *	pY,
		C_FLOAT64 *	pTime,
		C_FLOAT64 *	pEndTime,
		const size_t	rootCount,
		C_INT *	pRoots,
		const RKMethodStatus &	status,
		C_FLOAT64 *	rtol,
		C_FLOAT64 *	atol,
		unsigned C_INT32 *	pMaxSteps,
		EvalDeriv	pEvalDerivatives,
		EvalRoot	pEvalRoots
	)

private

Initialize all the stuff used in this class

References allocateSpace(), checkParameter(), ERROR, CVectorCore< CType >::initialize(), INITIALIZE, mAbsTol, mContinueFromInterpolation, mErrorMessage, mMaxSteps, mMethodStatus, mpDerivFunc, mpDim, mpEventFunc, mpY, mRelTol, mRootFound, mRootNum, mTEnd, mTLeft, RESTART, setCoeff(), and setStatRecord().

Referenced by operator()().

◆ interpolation()

void CRungeKutta::interpolation	(	const C_FLOAT64	tInterp,
		C_FLOAT64 *	yInterp
	)

private

Do interpolation at given time

Set initial step size of integrator

References C_FLOAT64, MAX_STAGE, mI, mK, mOrderY, mpDim, mStage, mTLeft, mTRight, and mYLeft.

Referenced by checkRoots(), and rootValue().

◆ operator()()

CRungeKutta::RKMethodStatus CRungeKutta::operator()	(	const size_t *	pDim,
		C_FLOAT64 *	pY,
		C_FLOAT64 *	pTime,
		C_FLOAT64 *	pEndTime,
		const size_t	rootCount,
		C_INT *	pRoots,
		const RKMethodStatus &	status,
		const bool &	oneStep,
		C_FLOAT64 *	rtol,
		C_FLOAT64 *	atol,
		unsigned C_INT32 *	pMaxSteps,
		EvalDeriv	pEvalDerivatives,
		EvalRoot	pEvalRoots
	)

Do an integration step from the current state (pY, pTime) to the end time pEndTime

Parameters

const	size_t * pDim,
C_FLOAT64	* pY,
C_FLOAT64	* pTime,
C_FLOAT64	* pEndTime,
const	size_t rootCount,
C_INT	* pRoots,
const	RKMethodStatus & status,
C_FLOAT64	* rtol,
C_FLOAT64	* atol,
EvalDeriv	pEvalDerivatives,
EvalRoot	pEvalRoots

Returns: RKMethodStatus status

Main function processing integration along time

References advanceStep(), C_FLOAT64, C_INT32, checkODEState(), checkRoots(), CONTINUE, deps(), doOneStep(), END, ERROR, estimateError(), INITIALIZE, initialize(), mAcceptNum, max, mContinueFromInterpolation, mErrorMessage, mFac, mFacMax, mFacMaxRej, mFacMin, mfEvalNum, mh, mhMin, mhNoFailed, min, mK, mMaxSteps, mMethodStatus, mP, mpDerivFunc, mpDim, mpY, mRejectNum, mRootNum, mRootValuesLeft, mStage, mStepNum, mTEnd, mTLeft, mTRight, mYLeft, mYRight, RESTART, ROOTFOUND, and setInitialStepSize().

◆ rootValue()

C_FLOAT64 CRungeKutta::rootValue ( const C_FLOAT64 & time )

private

Calculate the maximum root value for the given time for all roots changing sign between mRootValueLeft and mRootValueRight. rootValue is a continuous function which is positive at the right and negative at the left.

Parameters

const C_FLOAT64 & time

Returns: const C_FLOAT64 rootValue

References C_FLOAT64, interpolation(), mpDim, mrEvalNum, mRootNum, mRootValueRight, mRootValuesLeft, mRootValueTmp, and mZ1.

Referenced by CRungeKutta().

◆ setCoeff()

void CRungeKutta::setCoeff ( )

private

Set coefficients for ODE45

References C_FLOAT64, mA, mB, mC, mE, mI, mOrderY, mOrderYp, mP, and mStage.

Referenced by initialize().

◆ setInitialStepSize()

void CRungeKutta::setInitialStepSize ( )

private

Set initial step size of integrator

References C_FLOAT64, deps(), infNorm(), max, mFac, mFacMax, mFacMaxRej, mFacMin, mh, mhMax, mhMin, min, mP, mpDerivFunc, mpDim, mTEnd, mTLeft, mYLeft, mZ1, mZ2, and mZ3.

Referenced by operator()().

◆ setStatRecord()

void CRungeKutta::setStatRecord ( )

private

Set statistic parameters

References mAcceptNum, mfEvalNum, mRejectNum, mrEvalNum, and mStepNum.

Referenced by initialize().

Member Data Documentation

◆ mA

C_FLOAT64 CRungeKutta::mA[8][8]

private

mA, a C_FLOAT64 two dimension array, recording coefficients a_ij

Referenced by doOneStep(), and setCoeff().

◆ mAbsTol

C_FLOAT64 CRungeKutta::mAbsTol

private

mAbsTol, absolute error tolerance mRelTol. relative error tolerance

Referenced by CRungeKutta(), estimateError(), and initialize().

◆ mAcceptNum

size_t CRungeKutta::mAcceptNum

private

mAcceptNum, a size_t variable, recording how many successful steps

Referenced by CRungeKutta(), operator()(), and setStatRecord().

◆ mB

C_FLOAT64 CRungeKutta::mB[8]

private

mB, a C_FLOAT64 array, recording coefficients b_i

Referenced by doOneStep(), and setCoeff().

◆ mC

C_FLOAT64 CRungeKutta::mC[8]

private

mC, a C_FLOAT64 array, recording coefficients c_i

Referenced by doOneStep(), and setCoeff().

◆ mContinueFromInterpolation

bool CRungeKutta::mContinueFromInterpolation

private

Referenced by advanceStep(), checkRoots(), CRungeKutta(), initialize(), and operator()().

◆ mE

C_FLOAT64 CRungeKutta::mE[8]

private

mE, a C_FLOAT64 array, recording coefficients e_i for absolute error calculation

Referenced by estimateError(), and setCoeff().

◆ mErrorMessage

std::stringstream CRungeKutta::mErrorMessage

private

Referenced by checkODEState(), checkParameter(), getErrorMesssage(), initialize(), and operator()().

◆ mFac

C_FLOAT64 CRungeKutta::mFac

private

mFac, a number as a factor for step size control

Referenced by CRungeKutta(), operator()(), and setInitialStepSize().

◆ mFacMax

C_FLOAT64 CRungeKutta::mFacMax

private

mFacMax, maximum factor value

Referenced by CRungeKutta(), operator()(), and setInitialStepSize().

◆ mFacMaxRej

C_FLOAT64 CRungeKutta::mFacMaxRej

private

mFacMaxRej, maximum factor value after a rejected step

Referenced by CRungeKutta(), operator()(), and setInitialStepSize().

◆ mFacMin

C_FLOAT64 CRungeKutta::mFacMin

private

mFacMin, minimum factor value

Referenced by CRungeKutta(), operator()(), and setInitialStepSize().

◆ mfEvalNum

size_t CRungeKutta::mfEvalNum

private

mfEvalNum, a size_t variable, recording how many times mDerivFunc are called

Referenced by CRungeKutta(), operator()(), and setStatRecord().

◆ mh

C_FLOAT64 CRungeKutta::mh

private

mh, step size

Referenced by CRungeKutta(), doOneStep(), estimateError(), operator()(), and setInitialStepSize().

◆ mhMax

C_FLOAT64 CRungeKutta::mhMax

private

mhMax, maximum step size

Referenced by CRungeKutta(), and setInitialStepSize().

◆ mhMin

C_FLOAT64 CRungeKutta::mhMin

private

mhMin, minimum step size

Referenced by CRungeKutta(), operator()(), and setInitialStepSize().

◆ mhNoFailed

bool CRungeKutta::mhNoFailed

private

mhNoFailed, a boolean variable mhNoFailed == true, success after a reject step mhNoFailed == false, previous step is accepted

Referenced by CRungeKutta(), and operator()().

◆ mI

C_FLOAT64 CRungeKutta::mI[8][8]

private

mI, a two dimension C_FLOAT64 array, for interpolation

Referenced by interpolation(), and setCoeff().

◆ mK

C_FLOAT64** CRungeKutta::mK

private

mK, a C_FLOAT64 pointer of a two dimension array, recording approximated derivatives (mStage*mDim)

Referenced by advanceStep(), allocateSpace(), CRungeKutta(), doOneStep(), estimateError(), interpolation(), operator()(), and ~CRungeKutta().

◆ mMaxSteps

unsigned C_INT32 CRungeKutta::mMaxSteps

private

Referenced by CRungeKutta(), initialize(), and operator()().

◆ mMethodStatus

RKMethodStatus CRungeKutta::mMethodStatus

private

mODEState, an int variable, recording the state of the solver Input: mODEState == 0, ODE solver is called firstly, need to be initialized mODEState == 1, ODE solver starts a new integration, without initialization mODEState == 2, ODE solver continues integration, coming back from event has been found

Output: mODEState == -2, some errors happened mODEState == 3, ODE solver stops at time t < tEnd, indicating having events mODEState == 4, ODE solver finishes integration at t == tEnd;

Referenced by checkODEState(), checkRoots(), CRungeKutta(), initialize(), and operator()().

◆ mOrderY

size_t CRungeKutta::mOrderY

private

mOrderY, the order of Y interpolation can achieve

Referenced by CRungeKutta(), interpolation(), and setCoeff().

◆ mOrderYp

size_t CRungeKutta::mOrderYp

private

mOrderYp, the order of Y prime interpolation can achieve

Referenced by CRungeKutta(), and setCoeff().

◆ mP

size_t CRungeKutta::mP

private

mP, the order this solver provides

Referenced by CRungeKutta(), operator()(), setCoeff(), and setInitialStepSize().

◆ mpDerivFunc

EvalDeriv CRungeKutta::mpDerivFunc

private

mpDerivFunc, function pointer of function calculating derivatives

Referenced by CRungeKutta(), doOneStep(), initialize(), operator()(), setInitialStepSize(), and ~CRungeKutta().

◆ mpDim

const size_t* CRungeKutta::mpDim

private

mDim, dimension of this problem

Referenced by advanceStep(), allocateSpace(), checkRoots(), CRungeKutta(), doOneStep(), estimateError(), initialize(), interpolation(), operator()(), rootValue(), and setInitialStepSize().

◆ mpEventFunc

EvalRoot CRungeKutta::mpEventFunc

private

mpEventFunc, function pointer of function calculating event values

Referenced by CRungeKutta(), initialize(), and ~CRungeKutta().

◆ mpRootValueCalculator

CBrent::Eval* CRungeKutta::mpRootValueCalculator

private

Pointer to method used for function evaluations for the Brent root finding method.

Referenced by checkRoots(), and CRungeKutta().

◆ mpY

C_FLOAT64* CRungeKutta::mpY

private

mY, a C_FLOAT64 pointer pointing to an array recording system values at previous step

Referenced by checkRoots(), CRungeKutta(), initialize(), and operator()().

◆ mRejectNum

size_t CRungeKutta::mRejectNum

private

mRejectNum, a size_t variable, recording how many rejected steps

Referenced by CRungeKutta(), operator()(), and setStatRecord().

◆ mRelTol

C_FLOAT64 CRungeKutta::mRelTol

private

Referenced by checkRoots(), CRungeKutta(), estimateError(), and initialize().

◆ mrEvalNum

size_t CRungeKutta::mrEvalNum

private

mrEvalNum, a size_t variable, recording how many times mEventFunc are called

Referenced by checkRoots(), CRungeKutta(), rootValue(), and setStatRecord().

◆ mRootFound

CVectorCore< C_INT > CRungeKutta::mRootFound

private

Referenced by checkRoots(), and initialize().

◆ mRootNum

size_t CRungeKutta::mRootNum

private

mRootNum, a size_t variable, number of roots

Referenced by allocateSpace(), checkRoots(), CRungeKutta(), initialize(), operator()(), and rootValue().

◆ mRootValueRight

C_FLOAT64* CRungeKutta::mRootValueRight

private

mRootValueRight, a C_FLOAT64 array pointer, recording root value at current time mT

Referenced by allocateSpace(), checkRoots(), CRungeKutta(), rootValue(), and ~CRungeKutta().

◆ mRootValuesLeft

C_FLOAT64* CRungeKutta::mRootValuesLeft

private

mRootValueLeft, a C_FLOAT64 array pointer, recording root values at previous step

Referenced by allocateSpace(), checkRoots(), CRungeKutta(), operator()(), rootValue(), and ~CRungeKutta().

◆ mRootValueTmp

C_FLOAT64* CRungeKutta::mRootValueTmp

private

mRootValueRight, a C_FLOAT64 array pointer, recording root value at current time mT

Referenced by allocateSpace(), checkRoots(), CRungeKutta(), rootValue(), and ~CRungeKutta().

◆ mStage

size_t CRungeKutta::mStage

private

mStage, the stage of this method

Referenced by advanceStep(), allocateSpace(), CRungeKutta(), doOneStep(), estimateError(), interpolation(), operator()(), setCoeff(), and ~CRungeKutta().

◆ mStepNum

size_t CRungeKutta::mStepNum

private

mStepNum, a size_t variable, recording how many steps are executed

Referenced by CRungeKutta(), operator()(), and setStatRecord().

◆ mTEnd

C_FLOAT64 CRungeKutta::mTEnd

private

mTEnd, terminal time this solver will reach

Referenced by CRungeKutta(), initialize(), operator()(), and setInitialStepSize().

◆ mTLeft

C_FLOAT64 CRungeKutta::mTLeft

private

Referenced by advanceStep(), checkRoots(), CRungeKutta(), doOneStep(), initialize(), interpolation(), operator()(), and setInitialStepSize().

◆ mTRight

C_FLOAT64 CRungeKutta::mTRight

private

mTNew, new time in the next step

Referenced by advanceStep(), checkRoots(), CRungeKutta(), doOneStep(), interpolation(), and operator()().

◆ mYLeft

C_FLOAT64* CRungeKutta::mYLeft

private

mYOld, a C_FLOAT64 pointer pointing to an array recording mY

Referenced by advanceStep(), allocateSpace(), checkRoots(), CRungeKutta(), doOneStep(), estimateError(), interpolation(), operator()(), setInitialStepSize(), and ~CRungeKutta().

◆ mYRight

C_FLOAT64* CRungeKutta::mYRight

private

mYNew, a C_FLOAT64 pointer pointing to an array recording system values at new step

Referenced by advanceStep(), allocateSpace(), checkRoots(), CRungeKutta(), doOneStep(), estimateError(), operator()(), and ~CRungeKutta().

◆ mZ1

C_FLOAT64* CRungeKutta::mZ1

private

Referenced by allocateSpace(), checkRoots(), CRungeKutta(), doOneStep(), rootValue(), setInitialStepSize(), and ~CRungeKutta().

◆ mZ2

C_FLOAT64 * CRungeKutta::mZ2

private

Referenced by allocateSpace(), CRungeKutta(), estimateError(), setInitialStepSize(), and ~CRungeKutta().

◆ mZ3

C_FLOAT64 * CRungeKutta::mZ3

private

Referenced by allocateSpace(), CRungeKutta(), estimateError(), setInitialStepSize(), and ~CRungeKutta().

The documentation for this class was generated from the following files:

Public Types

Public Member Functions

Private Member Functions

Private Attributes

Member Enumeration Documentation

◆ RKMethodStatus

Constructor & Destructor Documentation

◆ CRungeKutta()

◆ ~CRungeKutta()

Member Function Documentation

◆ advanceStep()

◆ allocateSpace()

◆ checkODEState()

◆ checkParameter()

◆ checkRoots()

◆ deps()

◆ doOneStep()

◆ estimateError()

◆ getErrorMesssage()

◆ infNorm()

◆ initialize()

◆ interpolation()

◆ operator()()

◆ rootValue()

◆ setCoeff()

◆ setInitialStepSize()

◆ setStatRecord()

Member Data Documentation

◆ mA

◆ mAbsTol

◆ mAcceptNum

◆ mB

◆ mC

◆ mContinueFromInterpolation

◆ mE

◆ mErrorMessage

◆ mFac

◆ mFacMax

◆ mFacMaxRej

◆ mFacMin

◆ mfEvalNum

◆ mh

◆ mhMax

◆ mhMin

◆ mhNoFailed

◆ mI

◆ mK

◆ mMaxSteps

◆ mMethodStatus

◆ mOrderY

◆ mOrderYp

◆ mP

◆ mpDerivFunc

◆ mpDim

◆ mpEventFunc

◆ mpRootValueCalculator

◆ mpY

◆ mRejectNum

◆ mRelTol

◆ mrEvalNum

◆ mRootFound

◆ mRootNum

◆ mRootValueRight

◆ mRootValuesLeft

◆ mRootValueTmp

◆ mStage

◆ mStepNum

◆ mTEnd

◆ mTLeft

◆ mTRight

◆ mYLeft

◆ mYRight

◆ mZ1

◆ mZ2

◆ mZ3