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G4BogackiShampine45.hh
Go to the documentation of this file.
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//
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// ********************************************************************
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// * License and Disclaimer *
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// * *
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// * The Geant4 software is copyright of the Copyright Holders of *
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// * the Geant4 Collaboration. It is provided under the terms and *
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// * conditions of the Geant4 Software License, included in the file *
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// * LICENSE and available at http://cern.ch/geant4/license . These *
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// * include a list of copyright holders. *
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// * *
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// * Neither the authors of this software system, nor their employing *
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// * institutes,nor the agencies providing financial support for this *
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// * work make any representation or warranty, express or implied, *
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// * regarding this software system or assume any liability for its *
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// * use. Please see the license in the file LICENSE and URL above *
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// * for the full disclaimer and the limitation of liability. *
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// * *
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// * This code implementation is the result of the scientific and *
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// * technical work of the GEANT4 collaboration. *
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// * By using, copying, modifying or distributing the software (or *
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// * any work based on the software) you agree to acknowledge its *
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// * use in resulting scientific publications, and indicate your *
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// * acceptance of all terms of the Geant4 Software license. *
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// ********************************************************************
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//
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// G4BogackiShampine45
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//
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// Class description:
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//
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// An implementation of the embedded RK method from the following paper
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// by P. Bogacki and L. F. Shampine:
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// "An efficient Runge-Kutta (4,5) pair"
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// Comput. Math. with Appl., vol. 32, no. 6, pp. 15-28, Sep. 1996.
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//
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// An interpolation method provides the value of an intermediate
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// point in a step -- if a step was sucessful.
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//
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// This version can provide the FSAL property of the method,
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// which allows the reuse of the last derivative in the next step,
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// but only by using the additional method GetLastDyDx() (an alternative
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// interface for simpler use of FSAL is under development).
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// Created: Somnath Banerjee, Google Summer of Code 2015, 25 May 2015
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// Supervision: John Apostolakis, CERN
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// --------------------------------------------------------------------
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#ifndef BOGACKI_SHAMPINE_45_HH
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#define BOGACKI_SHAMPINE_45_HH
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#include "
G4MagIntegratorStepper.hh
"
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class
G4BogackiShampine45
:
public
G4MagIntegratorStepper
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{
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public
:
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G4BogackiShampine45
(
G4EquationOfMotion
* EqRhs,
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G4int
numberOfVariables = 6,
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G4bool
primary =
true
);
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~G4BogackiShampine45
();
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G4BogackiShampine45
(
const
G4BogackiShampine45
&) =
delete
;
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G4BogackiShampine45
&
operator=
(
const
G4BogackiShampine45
&) =
delete
;
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void
Stepper
(
const
G4double
y
[],
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const
G4double
dydx[],
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G4double
h
,
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G4double
yout[],
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G4double
yerr[] ) ;
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// This Stepper provides 'dense output'. After a successful
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// step, it is possible to obtain an estimate of the value
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// of the function at an intermediate point of the interval.
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// This requires only two additional evaluations of the
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// derivative (and thus the field).
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inline
void
SetupInterpolation
()
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{
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SetupInterpolationHigh
();
// ( yInput, dydx, Step);
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}
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// For calculating the output at the tau fraction of Step
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//
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inline
void
Interpolate
(
G4double
tau,
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G4double
yOut[] )
// Output value
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{
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InterpolateHigh
( tau, yOut);
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// InterpolateHigh( yInput, dydx, Step, yOut, tau);
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}
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void
SetupInterpolationHigh
();
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// For calculating the output at the tau fraction of Step
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//
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void
InterpolateHigh
(
G4double
tau,
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G4double
yOut[] )
const
;
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G4double
DistChord
()
const
;
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G4int
IntegratorOrder
()
const
{
return
4; }
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void
GetLastDydx
(
G4double
dyDxLast[] );
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void
PrepareConstants
();
// Initialise the values of the bi[][] array
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private
:
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G4double
*
ak2
, *
ak3
, *
ak4
, *
ak5
, *
ak6
, *
ak7
, *
ak8
,
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*
ak9
, *
ak10
, *
ak11
, *
yTemp
, *
yIn
;
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G4double
*
p
[6];
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G4double
fLastStepLength
= -1.0;
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G4double
*
fLastInitialVector
, *
fLastFinalVector
, *
fLastDyDx
,
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*
fMidVector
, *
fMidError
;
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// For DistChord calculations
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G4BogackiShampine45
*
fAuxStepper
=
nullptr
;
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// For chord - until interpolation is proven
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G4bool
fPreparedInterpolation
=
false
;
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// Class constants
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static
G4bool
fPreparedConstants
;
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static
G4double
bi
[12][7];
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};
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#endif
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geant4-10.6-release
source
geometry
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include
G4BogackiShampine45.hh
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. updated:
Wed Jun 29 2022 17:25:16
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