Detailed Description

Adaptive step-size 4th order Runge-Kutta ODE integrator from Numerical Recipes.

To use, implement a class which inherits from KVRungeKutta and which has AT LEAST the following methods:

MyClass::MyClass(Int_t N) : KVRungeKutta(N)

Int_t

int Int_t

N

#define N

KVRungeKutta

Adaptive step-size 4th order Runge-Kutta ODE integrator from Numerical Recipes.

Definition KVRungeKutta.h:50

i.e. a constructor which has at least one argument, the number of ODE to be integrated, which is passed to the KVRungeKutta(Int_t, Double_t, Double_t) constructor (this number is stored in the member variable KVRungeKutta::nvar). In this case the default values of precision and minimum step size will be used.

void MyClass::CalcDerivs(Double_t X, Double_t* Y, Double_t* DYDX)

Double_t

double Double_t

This method must calculate and store the values of the derivatives DYDX[nvar] given the value of X and of the Y[nvar] independent variables. This method will be called many times during each step of the integration. The member variable fInitialDeriv is set to kTRUE when the method is called for the first time of each step.

Then, after filling an array ystart[nvar] with the initial values of the independent variables, perform the integration from x1 to x2 like this:

MyClass RKex(10); // integrate 10 0DE's

RKex.Integrate(ystart, x1, x2, 0.01); // example initial step-size guess

Examples: ClassTraj.cpp.

Definition at line 50 of file KVRungeKutta.h.

#include <KVRungeKutta.h>

Inheritance diagram for KVRungeKutta:

[legend]

Public Member Functions
	KVRungeKutta ()

	KVRungeKutta (Int_t N, Double_t PREC=1.e-8, Double_t MINSTEP=0.0)

virtual	~KVRungeKutta ()
	Destructor.

virtual void	CalcDerivs (Double_t X, Double_t Y, Double_t DYDX)=0

Int_t	GetNBadSteps () const

Int_t	GetNGoodSteps () const

virtual void	Integrate (Double_t *ystart, Double_t x1, Double_t x2, Double_t h1)

Bool_t	IsOK () const

Public Member Functions inherited from KVBase
	KVBase ()
	Default constructor.

	KVBase (const Char_t name, const Char_t title="")
	Ctor for object with given name and type.

	KVBase (const KVBase &)
	copy ctor

virtual	~KVBase ()

virtual void	Clear (Option_t *opt="")
	Clear object properties : name, type/title, number, label.

virtual void	Copy (TObject &) const
	Make a copy of this object.

const Char_t *	GetLabel () const

UInt_t	GetNumber () const

UInt_t	GetNumberOfObjects () const

virtual TObject *	GetObject () const

virtual const Char_t *	GetType () const

Bool_t	HasLabel () const

virtual Bool_t	IsCalled (const Char_t *name) const

Bool_t	IsLabelled (const Char_t *l) const

virtual Bool_t	IsType (const Char_t *typ) const

virtual void	List ()

KVBase &	operator= (const KVBase &)
	copy assignment operator

virtual void	Print (Option_t *option="") const

Double_t	ProtectedGetX (const TF1 *func, Double_t val, int &status, Double_t xmin=0.0, Double_t xmax=0.0) const

void	SetLabel (const Char_t *lab)

virtual void	SetNumber (UInt_t num)

virtual void	SetType (const Char_t *str)

Public Member Functions inherited from TNamed
	TNamed ()

	TNamed (const char name, const char title)

	TNamed (const TNamed &named)

	TNamed (const TString &name, const TString &title)

virtual	~TNamed ()

void	Clear (Option_t *option="") override

TObject *	Clone (const char *newname="") const override

Int_t	Compare (const TObject *obj) const override

void	Copy (TObject &named) const override

virtual void	FillBuffer (char *&buffer)

const char *	GetName () const override

const char *	GetTitle () const override

ULong_t	Hash () const override

TClass *	IsA () const override

Bool_t	IsSortable () const override

void	ls (Option_t *option="") const override

TNamed &	operator= (const TNamed &rhs)

void	Print (Option_t *option="") const override

virtual void	SetName (const char *name)

virtual void	SetNameTitle (const char name, const char title)

virtual void	SetTitle (const char *title="")

virtual Int_t	Sizeof () const

void	Streamer (TBuffer &) override

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

Public Member Functions inherited from TObject
	TObject ()

	TObject (const TObject &object)

virtual	~TObject ()

void	AbstractMethod (const char *method) const

virtual void	AppendPad (Option_t *option="")

virtual void	Browse (TBrowser *b)

ULong_t	CheckedHash ()

virtual const char *	ClassName () const

virtual void	Delete (Option_t *option="")

virtual Int_t	DistancetoPrimitive (Int_t px, Int_t py)

virtual void	Draw (Option_t *option="")

virtual void	DrawClass () const

virtual TObject *	DrawClone (Option_t *option="") const

virtual void	Dump () const

virtual void	Error (const char method, const char msgfmt,...) const

virtual void	Execute (const char method, const char params, Int_t *error=nullptr)

virtual void	Execute (TMethod method, TObjArray params, Int_t *error=nullptr)

virtual void	ExecuteEvent (Int_t event, Int_t px, Int_t py)

virtual void	Fatal (const char method, const char msgfmt,...) const

virtual TObject *	FindObject (const char *name) const

virtual TObject *	FindObject (const TObject *obj) const

virtual Option_t *	GetDrawOption () const

virtual const char *	GetIconName () const

virtual char *	GetObjectInfo (Int_t px, Int_t py) const

virtual Option_t *	GetOption () const

virtual UInt_t	GetUniqueID () const

virtual Bool_t	HandleTimer (TTimer *timer)

Bool_t	HasInconsistentHash () const

virtual void	Info (const char method, const char msgfmt,...) const

virtual Bool_t	InheritsFrom (const char *classname) const

virtual Bool_t	InheritsFrom (const TClass *cl) const

virtual void	Inspect () const

void	InvertBit (UInt_t f)

Bool_t	IsDestructed () const

virtual Bool_t	IsEqual (const TObject *obj) const

virtual Bool_t	IsFolder () const

R__ALWAYS_INLINE Bool_t	IsOnHeap () const

R__ALWAYS_INLINE Bool_t	IsZombie () const

void	MayNotUse (const char *method) const

virtual Bool_t	Notify ()

void	Obsolete (const char method, const char asOfVers, const char *removedFromVers) const

void	operator delete (void *ptr)

void	operator delete (void ptr, void vp)

void	operator delete[] (void *ptr)

void	operator delete[] (void ptr, void vp)

void *	operator new (size_t sz)

void *	operator new (size_t sz, void *vp)

void *	operator new[] (size_t sz)

void *	operator new[] (size_t sz, void *vp)

TObject &	operator= (const TObject &rhs)

virtual void	Paint (Option_t *option="")

virtual void	Pop ()

virtual Int_t	Read (const char *name)

virtual void	RecursiveRemove (TObject *obj)

void	ResetBit (UInt_t f)

virtual void	SaveAs (const char filename="", Option_t option="") const

virtual void	SavePrimitive (std::ostream &out, Option_t *option="")

void	SetBit (UInt_t f)

void	SetBit (UInt_t f, Bool_t set)

virtual void	SetDrawOption (Option_t *option="")

virtual void	SetUniqueID (UInt_t uid)

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

virtual void	SysError (const char method, const char msgfmt,...) const

R__ALWAYS_INLINE Bool_t	TestBit (UInt_t f) const

Int_t	TestBits (UInt_t f) const

virtual void	UseCurrentStyle ()

virtual void	Warning (const char method, const char msgfmt,...) const

virtual Int_t	Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0)

virtual Int_t	Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0) const

Private Member Functions
virtual void	rkck (Double_t h)

virtual void	rkqs (Double_t htry)

Private Attributes
Double_t *	ak2

Double_t *	ak3

Double_t *	ak4

Double_t *	ak5

Double_t *	ak6

Double_t	dc1

Double_t	dc3

Double_t	dc4

Double_t	dc6

Double_t *	dydx

Double_t	eps
	precision required

Bool_t	fInitialDeriv

Bool_t	fOK

Double_t	hdid

Double_t	hmin
	minimum allowed step size

Double_t	hnext

Int_t	nbad
	number of bad steps taken

Int_t	nok
	number of good steps taken

Int_t	nvar
	number of independent variables/equations

Double_t	x

Double_t *	y

Double_t *	yerr

Double_t *	yout

Double_t *	yscal

Double_t *	ytemp

Static Private Attributes
static Double_t	a2 = 0.2

static Double_t	a3 = 0.3

static Double_t	a4 = 0.6

static Double_t	a5 = 1.0

static Double_t	a6 = 0.875

static Double_t	b21 = 0.2

static Double_t	b31 = 3.0 / 40.0

static Double_t	b32 = 9.0 / 40.0

static Double_t	b41 = 0.3

static Double_t	b42 = -0.9

static Double_t	b43 = 1.2

static Double_t	b51 = -11.0 / 54.0

static Double_t	b52 = 2.5

static Double_t	b53 = -70.0 / 27.0

static Double_t	b54 = 35.0 / 27.0

static Double_t	b61 = 1631.0 / 55296.0

static Double_t	b62 = 175.0 / 512.0

static Double_t	b63 = 575.0 / 13824.0

static Double_t	b64 = 44275.0 / 110592.0

static Double_t	b65 = 253.0 / 4096.0

static Double_t	c1 = 37.0 / 378.0

static Double_t	c3 = 250.0 / 621.0

static Double_t	c4 = 125.0 / 594.0

static Double_t	c6 = 512.0 / 1771.0

static Double_t	dc5 = -277.00 / 14336.0

Additional Inherited Members
Public Types inherited from KVBase
enum	EKaliVedaBits { kIsKaliVedaObject = BIT(23) }

Public Types inherited from TObject
enum	EDeprecatedStatusBits

enum	EStatusBits

Static Public Member Functions inherited from KVBase
static Bool_t	AreEqual (Double_t x, Double_t y, Long64_t maxdif=1)
	Comparison between two 64-bit floating-point values.

static void	BackupFileWithDate (const Char_t *path)

static void	CombineFiles (const Char_t file1, const Char_t file2, const Char_t *newfilename, Bool_t keep=kTRUE)

static void	Deprecated (const char method, const char advice)

static Bool_t	FindClassSourceFiles (const Char_t class_name, KVString &imp_file, KVString &dec_file, const Char_t dir_name=".")

static Bool_t	FindExecutable (TString &exec, const Char_t *path="$(PATH)")

static const Char_t *	FindFile (const Char_t *search, TString &wfil)

static const Char_t *	GetBINDIRFilePath (const Char_t *namefile="")

static const Char_t *	GetDATABASEFilePath ()

static const Char_t *	GetDATADIRFilePath (const Char_t *namefile="")

static Bool_t	GetDataSetEnv (const Char_t dataset, const Char_t type, Bool_t defval)

static const Char_t *	GetDataSetEnv (const Char_t dataset, const Char_t type, const Char_t *defval)

static Double_t	GetDataSetEnv (const Char_t dataset, const Char_t type, Double_t defval)

static const Char_t *	GetETCDIRFilePath (const Char_t *namefile="")

static const Char_t *	GetExampleFilePath (const Char_t library, const Char_t namefile)
	Return full path to example file for given library (="KVMultiDet", "BackTrack", etc.)

static const Char_t *	GetINCDIRFilePath (const Char_t *namefile="")

static const Char_t *	GetKVBuildDate ()
	Returns KaliVeda build date.

static const Char_t *	GetKVBuildDir ()
	Returns top-level directory used for build.

static const Char_t *	GetKVBuildTime ()
	Returns KaliVeda build time.

static const Char_t *	GetKVBuildType ()
	Returns KaliVeda build type (cmake build: Release, Debug, RelWithDebInfo, ...)

static const Char_t *	GetKVBuildUser ()
	Returns username of person who performed build.

static const Char_t *	GetKVSourceDir ()
	Returns top-level directory of source tree used for build.

static const Char_t *	GetKVVersion ()
	Returns KaliVeda version string.

static const Char_t *	GetLIBDIRFilePath (const Char_t *namefile="")

static const Char_t *	GetListOfPlugins (const Char_t *base)

static const Char_t *	GetListOfPluginURIs (const Char_t *base)

static const Char_t *	GetPluginURI (const Char_t base, const Char_t plugin)

static void	GetTempFileName (TString &base)

static const Char_t *	GetTEMPLATEDIRFilePath (const Char_t *namefile="")

static const Char_t *	GetWORKDIRFilePath (const Char_t *namefile="")

static const Char_t *	gitBranch ()
	Returns git branch of sources.

static const Char_t *	gitCommit ()
	Returns last git commit of sources.

static void	InitEnvironment ()

static bool	is_gnuinstall ()

static Bool_t	IsThisAPlugin (const TString &uri, TString &base)

static TPluginHandler *	LoadPlugin (const Char_t base, const Char_t uri="0")

static Bool_t	OpenContextMenu (const char method, TObject obj, const char *alt_method_name="")

static void	OpenTempFile (TString &base, std::ofstream &fp)

static void	PrintSplashScreen ()
	Prints welcome message and infos on version etc.

static Bool_t	SearchAndOpenKVFile (const Char_t name, KVSQLite::database &dbfile, const Char_t kvsubdir="")

static Bool_t	SearchAndOpenKVFile (const Char_t name, std::ifstream &file, const Char_t kvsubdir="", KVLockfile *locks=0)

static Bool_t	SearchAndOpenKVFile (const Char_t name, std::ofstream &file, const Char_t kvsubdir="", KVLockfile *locks=0)

static Bool_t	SearchKVFile (const Char_t name, TString &fullpath, const Char_t kvsubdir="")

static const Char_t *	WorkingDirectory ()

Static Public Member Functions inherited from TNamed
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

Static Public Member Functions inherited from TObject
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

static Longptr_t	GetDtorOnly ()

static Bool_t	GetObjectStat ()

static void	SetDtorOnly (void *obj)

static void	SetObjectStat (Bool_t stat)

Public Attributes inherited from TObject
	kBitMask

	kCanDelete

	kCannotPick

	kHasUUID

	kInconsistent

	kInvalidObject

	kIsOnHeap

	kIsReferenced

	kMustCleanup

	kNoContextMenu

	kNotDeleted

	kObjInCanvas

	kOverwrite

	kSingleKey

	kWriteDelete

	kZombie

Protected Member Functions inherited from TObject
virtual void	DoError (int level, const char location, const char fmt, va_list va) const

void	MakeZombie ()

Protected Attributes inherited from TNamed
TString	fName

TString	fTitle

Protected Attributes inherited from TObject
	kOnlyPrepStep

Constructor & Destructor Documentation

◆ KVRungeKutta() [1/2]

KVRungeKutta::KVRungeKutta ( )

inline

Definition at line 75 of file KVRungeKutta.h.

◆ KVRungeKutta() [2/2]

KVRungeKutta::KVRungeKutta	(	Int_t	N,
		Double_t	PREC = `1.e-8`,
		Double_t	MINSTEP = `0.0`
	)

Set up integrator for N independent variables PREC = required precision (default: 1.e-8) MINSTEP = minimum allowed stepsize (default: 0)

Definition at line 43 of file KVRungeKutta.cpp.

◆ ~KVRungeKutta()

KVRungeKutta::~KVRungeKutta ( )

virtual

Destructor.

Definition at line 76 of file KVRungeKutta.cpp.

Member Function Documentation

◆ CalcDerivs()

virtual void KVRungeKutta::CalcDerivs	(	Double_t	X,
		Double_t *	Y,
		Double_t *	DYDX
	)

pure virtual

This method must be implemented in child classes in order to fill the array DYDX[nvar] with the calculated values of the derivatives given the value of X and the values of Y[nvar]

Implemented in KVCoulombPropagator.

Examples: ClassTraj.cpp.

◆ GetNBadSteps()

Int_t KVRungeKutta::GetNBadSteps ( ) const

inline

Return number of bad (but retried and fixed) steps taken in integration

Definition at line 91 of file KVRungeKutta.h.

◆ GetNGoodSteps()

Int_t KVRungeKutta::GetNGoodSteps ( ) const

inline

Return number of succesful steps taken in integration

Definition at line 86 of file KVRungeKutta.h.

◆ Integrate()

void KVRungeKutta::Integrate	(	Double_t *	ystart,
		Double_t	x1,
		Double_t	x2,
		Double_t	h1
	)

virtual

Runge-Kutta driver with adaptive stepsize control. Integrate nvar starting values ystart[0,...,nvar-1] from x1 to x2 with accuracy eps. h1 should be set as a guessed first stepsize. after call, GetNGoodSteps() and GetNBadSteps() give the number of good and bad (but retried and fixed) steps taken, and ystart values are replaced by values at the end of the integration interval.

Definition at line 102 of file KVRungeKutta.cpp.

◆ IsOK()

Bool_t KVRungeKutta::IsOK ( ) const

inline

Can be used after call to Integrate to check if successful

Definition at line 96 of file KVRungeKutta.h.

◆ rkck()

void KVRungeKutta::rkck ( Double_t h )

privatevirtual

Given values for n variables y[1..n] and their derivatives dydx[1..n] known at x, use the fifth-order Cash-Karp Runge-Kutta method to advance the solution over an interval h and return the incremented variables as yout[1..n]. Also return an estimate of the local truncation error in yout using the embedded fourth-order method. The user supplies the routine derivs(x,y,dydx) , which returns derivatives dydx at x.

Definition at line 208 of file KVRungeKutta.cpp.

◆ rkqs()

void KVRungeKutta::rkqs ( Double_t htry )

privatevirtual

Fifth-order Runge-Kutta step with monitoring of local truncation error to ensure accuracy and adjust stepsize. Input are the dependent variable vector y[1..n] and its derivative dydx[1..n] at the starting value of the independent variable x. Also input are the stepsize to be attempted htry, the required accuracy eps, and the vector yscal[1..n] against which the error is scaled. On output, y and x are replaced by their new values, hdid is the stepsize that was actually accomplished, and hnext is the estimated next stepsize. derivs is the user-supplied routine that computes the right-hand side derivatives.

Definition at line 165 of file KVRungeKutta.cpp.

Member Data Documentation

◆ a2

Double_t KVRungeKutta::a2 = 0.2

staticprivate

Definition at line 51 of file KVRungeKutta.h.

◆ a3

Double_t KVRungeKutta::a3 = 0.3

staticprivate

Definition at line 51 of file KVRungeKutta.h.

◆ a4

Double_t KVRungeKutta::a4 = 0.6

staticprivate

Definition at line 51 of file KVRungeKutta.h.

◆ a5

Double_t KVRungeKutta::a5 = 1.0

staticprivate

Definition at line 51 of file KVRungeKutta.h.

◆ a6

Double_t KVRungeKutta::a6 = 0.875

staticprivate

Definition at line 51 of file KVRungeKutta.h.

◆ ak2

Double_t* KVRungeKutta::ak2

private

Definition at line 67 of file KVRungeKutta.h.

◆ ak3

Double_t * KVRungeKutta::ak3

private

Definition at line 67 of file KVRungeKutta.h.

◆ ak4

Double_t * KVRungeKutta::ak4

private

Definition at line 67 of file KVRungeKutta.h.

◆ ak5

Double_t * KVRungeKutta::ak5

private

Definition at line 67 of file KVRungeKutta.h.

◆ ak6

Double_t * KVRungeKutta::ak6

private

Definition at line 67 of file KVRungeKutta.h.

◆ b21

Double_t KVRungeKutta::b21 = 0.2

staticprivate

Definition at line 51 of file KVRungeKutta.h.

◆ b31

Double_t KVRungeKutta::b31 = 3.0 / 40.0

staticprivate

Definition at line 52 of file KVRungeKutta.h.

◆ b32

Double_t KVRungeKutta::b32 = 9.0 / 40.0

staticprivate

Definition at line 52 of file KVRungeKutta.h.

◆ b41

Double_t KVRungeKutta::b41 = 0.3

staticprivate

Definition at line 52 of file KVRungeKutta.h.

◆ b42

Double_t KVRungeKutta::b42 = -0.9

staticprivate

Definition at line 52 of file KVRungeKutta.h.

◆ b43

Double_t KVRungeKutta::b43 = 1.2

staticprivate

Definition at line 52 of file KVRungeKutta.h.

◆ b51

Double_t KVRungeKutta::b51 = -11.0 / 54.0

staticprivate

Definition at line 53 of file KVRungeKutta.h.

◆ b52

Double_t KVRungeKutta::b52 = 2.5

staticprivate

Definition at line 53 of file KVRungeKutta.h.

◆ b53

Double_t KVRungeKutta::b53 = -70.0 / 27.0

staticprivate

Definition at line 53 of file KVRungeKutta.h.

◆ b54

Double_t KVRungeKutta::b54 = 35.0 / 27.0

staticprivate

Definition at line 53 of file KVRungeKutta.h.

◆ b61

Double_t KVRungeKutta::b61 = 1631.0 / 55296.0

staticprivate

Definition at line 54 of file KVRungeKutta.h.

◆ b62

Double_t KVRungeKutta::b62 = 175.0 / 512.0

staticprivate

Definition at line 54 of file KVRungeKutta.h.

◆ b63

Double_t KVRungeKutta::b63 = 575.0 / 13824.0

staticprivate

Definition at line 54 of file KVRungeKutta.h.

◆ b64

Double_t KVRungeKutta::b64 = 44275.0 / 110592.0

staticprivate

Definition at line 55 of file KVRungeKutta.h.

◆ b65

Double_t KVRungeKutta::b65 = 253.0 / 4096.0

staticprivate

Definition at line 55 of file KVRungeKutta.h.

◆ c1

Double_t KVRungeKutta::c1 = 37.0 / 378.0

staticprivate

Definition at line 55 of file KVRungeKutta.h.

◆ c3

Double_t KVRungeKutta::c3 = 250.0 / 621.0

staticprivate

Definition at line 56 of file KVRungeKutta.h.

◆ c4

Double_t KVRungeKutta::c4 = 125.0 / 594.0

staticprivate

Definition at line 56 of file KVRungeKutta.h.

◆ c6

Double_t KVRungeKutta::c6 = 512.0 / 1771.0

staticprivate

Definition at line 56 of file KVRungeKutta.h.

◆ dc1

Double_t KVRungeKutta::dc1

private

Definition at line 68 of file KVRungeKutta.h.

◆ dc3

Double_t KVRungeKutta::dc3

private

Definition at line 68 of file KVRungeKutta.h.

◆ dc4

Double_t KVRungeKutta::dc4

private

Definition at line 68 of file KVRungeKutta.h.

◆ dc5

Double_t KVRungeKutta::dc5 = -277.00 / 14336.0

staticprivate

Definition at line 57 of file KVRungeKutta.h.

◆ dc6

Double_t KVRungeKutta::dc6

private

Definition at line 68 of file KVRungeKutta.h.

◆ dydx

Double_t * KVRungeKutta::dydx

private

Definition at line 65 of file KVRungeKutta.h.

◆ eps

Double_t KVRungeKutta::eps

private

precision required

Definition at line 60 of file KVRungeKutta.h.

◆ fInitialDeriv

Bool_t KVRungeKutta::fInitialDeriv

private

Definition at line 70 of file KVRungeKutta.h.

◆ fOK

Bool_t KVRungeKutta::fOK

private

Definition at line 69 of file KVRungeKutta.h.

◆ hdid

Double_t KVRungeKutta::hdid

private

Definition at line 66 of file KVRungeKutta.h.

◆ hmin

Double_t KVRungeKutta::hmin

private

minimum allowed step size

Definition at line 61 of file KVRungeKutta.h.

◆ hnext

Double_t KVRungeKutta::hnext

private

Definition at line 66 of file KVRungeKutta.h.

◆ nbad

Int_t KVRungeKutta::nbad

private

number of bad steps taken

Definition at line 63 of file KVRungeKutta.h.

◆ nok

Int_t KVRungeKutta::nok

private

number of good steps taken

Definition at line 62 of file KVRungeKutta.h.

◆ nvar

Int_t KVRungeKutta::nvar

private

number of independent variables/equations

Definition at line 59 of file KVRungeKutta.h.

◆ x

Double_t KVRungeKutta::x

private

Definition at line 66 of file KVRungeKutta.h.

◆ y

Double_t* KVRungeKutta::y

private

Definition at line 65 of file KVRungeKutta.h.

◆ yerr

Double_t * KVRungeKutta::yerr

private

Definition at line 65 of file KVRungeKutta.h.

◆ yout

Double_t * KVRungeKutta::yout

private

Definition at line 65 of file KVRungeKutta.h.

◆ yscal

Double_t * KVRungeKutta::yscal

private

Definition at line 65 of file KVRungeKutta.h.

◆ ytemp

Double_t * KVRungeKutta::ytemp

private

Definition at line 65 of file KVRungeKutta.h.

Detailed Description

Public Member Functions

Private Member Functions

Private Attributes

Static Private Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ KVRungeKutta() [1/2]

◆ KVRungeKutta() [2/2]

◆ ~KVRungeKutta()

Member Function Documentation

◆ CalcDerivs()

◆ GetNBadSteps()

◆ GetNGoodSteps()

◆ Integrate()

◆ IsOK()

◆ rkck()

◆ rkqs()

Member Data Documentation

◆ a2

◆ a3

◆ a4

◆ a5

◆ a6

◆ ak2

◆ ak3

◆ ak4

◆ ak5

◆ ak6

◆ b21

◆ b31

◆ b32

◆ b41

◆ b42

◆ b43

◆ b51

◆ b52

◆ b53

◆ b54

◆ b61

◆ b62

◆ b63

◆ b64

◆ b65

◆ c1

◆ c3

◆ c4

◆ c6

◆ dc1

◆ dc3

◆ dc4

◆ dc5

◆ dc6

◆ dydx

◆ eps

◆ fInitialDeriv

◆ fOK

◆ hdid

◆ hmin

◆ hnext

◆ nbad

◆ nok

◆ nvar

◆ x

◆ y

◆ yerr

◆ yout

◆ yscal

◆ ytemp