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   # Category field History                       <<    $Id: History 93806 2015-11-02 11:21:01Z gcosmo $
                                                  <<    -------------------------------------------------------------------
   See `CONTRIBUTING.rst` for details of **requir << 
   which **must** added in reverse chronological  << 
   It must **not** be used as a substitute for wr << 
                                                  << 
   ---------------------------------------------- << 
                                                  << 
   ## 2024-11-26 Ivana Hrivnacova (field-V11-02-0 << 
  - Better names for the G4EquationType enum con << 
                                                 << 
  ## 2024-11-04 Philippe Canal (field-V11-02-05) << 
  - Improve stability of static initialization f << 
    StepperDescription() in G4DormandPrince745.  << 
                                                 << 
  ## 2024-09-10 Ivana Hrivnacova (field-V11-02-0 << 
  - Coverity fixes:                              << 
    - Use std::move, const auto& instead of auto << 
                                                 << 
  ## 2024-06-20 Ivana Hrivnacova (field-V11-02-0 << 
  - Fix in G4FieldBuilder for local fields:      << 
    apply the local fields in the order of user  << 
                                                 << 
  ## 2024-04-29 Ivana Hrivnacova (field-V11-02-0 << 
  - Added classes for automatic field constructi << 
    - G4FieldBuilder[Messenger], G4FieldParamete << 
    - No changes in other Geant4 classes         << 
                                                 << 
  ## 2024-04-17 Ben Morgan (field-V11-02-01)     << 
  - Fix maybe-uninitialized warnings found in AT << 
    - Reported in internal ATLASSIM-6058 ticket. << 
                                                 << 
  ## 2024-04-02 Gabriele Cosmo (field-V11-02-00) << 
  - Applied trivial clang-tidy fixes to classes, << 
    constructor/destructor, auto and using state << 
  - Minor cleanup in QSS classes.                << 
                                                 << 
  ## 2023-11-03 Gabriele Cosmo (field-V11-01-06) << 
  - Reinstated default DormandPrince745 stepper. << 
                                                 << 
  ## 2023-10-27 Lucio Santi (field-V11-01-05)    << 
  - Improvements on the QSS Stepper              << 
    The main QSS integration loop is interrupted << 
    exceeds a predefined threshold (set to 1000  << 
                                                 << 
  ## 2023-06-14 Gabriele Cosmo (field-V11-01-04) << 
  - Applied clang-tidy fixes (readability, moder << 
                                                 << 
  ## 2023-06-12 John Apostolakis (field-V11-01-0 << 
  - Inclusion of QSS integration method.         << 
    Most recent changes:                         << 
    * Fixes for issue with SetPrecision (used un << 
    * Updated values of parameters in G4Propagat << 
    * Withdrew interim changes that made QSS the << 
                                                 << 
  ## 2023-05-26 Lucio Santi                      << 
  - Fixes for open issues:                       << 
    * default values for QSS made stricter dQRel << 
      to improve behaviour in full experiment te << 
    * implemented missing DistChord method -- ne << 
                                                 << 
  ## 2023-01-31 John Apostolakis                 << 
  - Initial inclusion of QSS integration method. << 
    Renamed classes to include 'G4' prefix, and  << 
    Added Geant4 disclaimer / license to files.  << 
    Removed QSSmessenger from RunManager and G4P << 
  - Temporarily made QSS the default method for  << 
                                                 << 
  ## 2023-01-30 Rodrigo Castro, Lucio Santi & Le << 
  - Included Quantum State Simulation (QSS) inte << 
    Alternative method of integration which crea << 
    functions for each coordinate (x,p) - changi << 
    polynomials when the deviation from exact so << 
    a threshold value.                           << 
    Offers built-in interpolation capability - e << 
    of the intersection of the trajectory with s << 
    Currently restricted to using only with a pu << 
    Created by Rodrigo Castro and Lucio Santi, w << 
    by Leandro A. Gómez Vidal (and others?)     << 
                                                 << 
  ## 2023-03-16 Ben Morgan (field-V11-01-02)     << 
  - Fixed compilation warnings on clang-15 for m << 
    in input parameters for steppers.            << 
                                                 << 
  ## 2023-01-09 Ben Morgan (field-V11-01-01)     << 
  - Use PROJECT_ scoped _SOURCE/BINARY_DIR varia << 
    scope version to ease use of Geant4 as a CMa << 
    - Fixes [GitHub PR #52](https://github.com/G << 
                                                 << 
  ## 2022-12-09 Laurie Nevay             (field- << 
  - Reduced printout for setting any valid value << 
    G4FieldManager.                              << 
                                                 << 
  ## 2022-11-28 Gabriele Cosmo           (field- << 
  - Fixed restore of stream precision in G4Field << 
                                                 << 
  ## 2022-11-14 John Apostolakis         (field- << 
  - Revised G4FieldManager to ensure that epsilo << 
    are less than a 'maximum accepted' accuracy  << 
   behaviour of the integration. Improved their << 
    - warnings if min > max, with corrective be << 
    - a fatal exception in case of values outsi << 
                                                << 
   To cope with needs of legacy applications or << 
   the value of the 'ceiling' maximum accepted  << 
   the new static method                        << 
        G4FieldManager::SetMaxAcceptedEpsilon(  << 
   but must remain under or equal to a final ce << 
        fMaxFinalEpsilon=0.03                   << 
                                                << 
 ## 2022-11-10 Gabriele Cosmo (field-V11-00-03) << 
 - Fixed compilation warnings for implicit type << 
                                                << 
 ## 2022-11-05 Divyansh Tiwari, John Apostolaki << 
                                                << 
 - Introduced G4BorisScheme and G4BorisDriver,  << 
   integration method, created as part of GSoC  << 
                                                << 
 ## 2022-10-05 Gabriele Cosmo (field-V11-00-01) << 
 - Fixed compilation warnings on Intel/icx comp << 
   but not used.                                << 
                                                << 
 ## 2021-12-10 Ben Morgan (field-V11-00-00)     << 
 - Change to new Markdown History format        << 
                                                << 
 ---                                            << 
                                                << 
 # History entries prior to 11.0                << 
                                                << 
 March 30, 2021 B.Morgan                        << 
 -----------------------                        << 
 - Migrate sources.cmake to modular build API   << 
                                                << 
 November 26, 2020 J.Apostolakis                << 
 -------------------------------                << 
 - Fix to enable G4TDormandPrince45 to be used  << 
                                                << 
   This fix was needed because G4Interpolation  << 
   copies of the stepper class.  Due to this it << 
   with the type of the templated stepper.      << 
                                                << 
   For a stepper to be used with 'G4Interpolati << 
   implement the method                         << 
      Equation_type  GetSpecificEquation()      << 
   Templated steppers must ensure that the retu << 
   is the specific equation type of the templat << 
                                                << 
   This method was added to G4DormandPrince745  << 
                                                << 
 October 12, 2020 J.Apostolakis                 << 
 ------------------------------                 << 
 - Fixes & refinements - mostly in templated cl << 
   Compilation fixes, e.g. missing include <cas << 
   Refinements, e.g. int -> unsigned int in tem << 
                                                << 
 October 9, 2020 J.Apostolakis                  << 
 -----------------------------                  << 
 - Configure G4ChordFinder to use templated G4T << 
   default stepper for magnetic fields (when on << 
   explicitly by the application.)              << 
                                                << 
 October 9, 2020 J.Apostolakis & J. Xie         << 
 --------------------------------------         << 
 - Adapted classes that avoid virtual calls for << 
   created by Josh Xie (Google Summer of Code 2 << 
   S. Wenzel & J.A.                             << 
                                                << 
   The revised design and implementations inclu << 
    * equation of motion templated on the field << 
    * steppers templated on the type of equatio << 
      variables.                                << 
   In addition the key methods are marked as 'i << 
   they judge possible, to embed them and avoid << 
                                                << 
   These classes can be combined also with the  << 
   (G4IntegrationStepper, G4FSALIntegrationStep << 
   to avoid virtual calls in all the levels up  << 
   the integration driver. ]                    << 
                                                << 
   The types of stepper currently available are << 
   i) the originally developed intermediate ord << 
                                                << 
    - Name (templated) -  original  --   Order/ << 
                                            / E << 
    =========================================== << 
    G4TClassicalRK4:     G4ClassicalRK4   4th / << 
    G4TCashKarpRKF45:    G4CashKarpRKF45  5th / << 
                                                << 
   ii) the original low order steppers (for spe << 
    G4TSimpleHeum:       G4SimpleHeum     3rd / << 
    G4TSimpleRunge:      G4SimpleRunge    2nd / << 
    G4TExplicitEuler:    G4ExplicitEuler  1st / << 
                                                << 
   and                                          << 
   iii) some newly adapted stepper(s) /  ( J.A. << 
    G4TDormandPrince45  G4DormandPrince745 5th/ << 
    =========================================== << 
                                                << 
   Note: Additional lower-order steppers are no << 
         'Vector' steppers (using blaze) are no << 
                                                << 
   Experimental versions of fields with inline  << 
      G4TUniformMagField,  G4TQuadrupoleMagFiel << 
   are included to show how the field evaluatio << 
                                                << 
   Note 2:                                      << 
   Steppers which are not embedded obtain their << 
   breaking the step into two halves, then comp << 
   As a result many more field / derivative eva << 
   embedded steppers of the same order, but the << 
   estimation has different properties; so it m << 
                                                << 
 June 15, 2020 G.Cosmo                          << 
 ---------------------                          << 
 - Implemented move constructor and operator fo << 
                                                << 
 March 24, 2020 J.Apostolakis                   << 
 ----------------------------                   << 
 - New class G4DriverReporter to print progress << 
    Used for debugging differences between Old  << 
 - Revisions in testing CMake config file and s << 
    for magnetic field.                         << 
                                                << 
 March 13, 2020 J.Apostolakis                   << 
 ----------------------------                   << 
 - G4VIntegrationDriver & dependent driver clas << 
     Added new virtual StreamInfo() method,     << 
        & used it to implement operator << for  << 
     Made (virtual) DoesReIntegrate() const.    << 
 - G4MagInt_Driver: Fixed max iterations & clar << 
      ComputeNewStepSize does NOT (yet) respect << 
   ( Done to enable comparisons with new G4Inte << 
 - G4OldMagIntDriver maintains all old behaviou << 
                                                << 
                                                << 
 January 22, 2020 G.Cosmo                       << 
 ------------------------                       << 
 - Fixed compilation errors and configuration f << 
                                                << 
 January 13, 2020 G.Cosmo                       << 
 ------------------------                       << 
 - Turn off verbosity flags by default in G4Int << 
   G4InterpolationDriver and G4MagIntegratorDri << 
                                                << 
 December 10, 2019 B.Morgan                     << 
 --------------------------                     << 
 - Cleanup CMake build, removing obsolete granu << 
   explicit include_directories.                << 
                                                << 
 November 14, 2019 J.Apostolakis                << 
 -------------------------------                << 
 - Added method / attribute to G4VIntegrationDr << 
    to inform whether the driver recomputes seg << 
    AccurateAdvance is called.                  << 
                                                << 
 October 27, 2019 D.Sorokin                     << 
 ----------------------------                   << 
 - Remove statistics printouts from destructor  << 
                                                << 
 October 24, 2019 H.Burkhardt                   << 
 ----------------------------                   << 
 - Standard sextupole magnet first implementati << 
                                                << 
 October 18, 2019 D. Sorokin                    << 
 -----------------------------------------      << 
 - Fix floating point exception in G4BFieldInte << 
                                                << 
 October 1, 2019 G. Cosmo                       << 
 -----------------------------------------      << 
 - Fixed unitialised data in G4EqMagElectricFie << 
   reported by Coverity.                        << 
                                                << 
 September 12, 2019 G. Cosmo                    << 
 -----------------------------------------      << 
 - Minor C++11 revision. Code formatting and cl << 
                                                << 
 July 8, 2019 D. Sorokin                        << 
 -----------------------------------------      << 
 - G4BFieldIntegrationDriver: an attempt to sol << 
                                                << 
 July 3, 2019 D. Sorokin                        << 
 -----------------------------------------      << 
 - Make G4InterpolationDriver default for perfo << 
                                                << 
 June 25, 2019 D. Sorokin                       << 
 -----------------------------------------      << 
 - Fix Dormand-Prince 5th order interpolation m << 
                                                << 
 June 20, 2019 D. Sorokin                       << 
 -----------------------------------------      << 
 - New version of G4InterpolationDriver with mu << 
                                                << 
 June 12, 2019 D. Sorokin & J. Apostolakis      << 
 -----------------------------------------      << 
 - Revert to use G4IntegrationDriver as default << 
     ( c-tor for magnetic field. ).             << 
   Change to use concrete type of Stepper as te << 
                                                << 
 June 10, 2019 Dmitry Sorokin                   << 
 -------------------------                      << 
 - Remove division in G4DormandPrince745::Inter << 
                                                << 
 June 7, 2019 Dmitry Sorokin                    << 
 -------------------------                      << 
 - Switch to original chord finding algorithm i << 
 - Reset step estimate in G4MagInt_Driver only  << 
 - Change G4VERBOSE to G4FIELD_DEBUG in G4Inter << 
                                                << 
 June 4, 2019 Dmitry Sorokin                    << 
 -------------------------                      << 
 - Use FSAL property of G4DormandPrince745 in G << 
                                                << 
 June 3, 2019 Dmitry Sorokin                    << 
 -------------------------                      << 
 - Fix memory churn in G4InterpolationDriver.   << 
                                                << 
 May 20, 2019 Dmitry Sorokin                    << 
 -------------------------                      << 
 - Make interpolation driver default for immedi << 
                                                << 
 April 8, 2019 H.Burkhardt                      << 
 -------------------------                      << 
 - Correcting transformation to local system in << 
                                                << 
 March 20, 2019 G.Cosmo                         << 
 ----------------------                         << 
 - Corrected 'RegularStepperName' in G4ChordFin << 
   default stepper G4DormandPrince745 rather th << 
                                                << 
 November 9, 2018 J.Apostolakis                 << 
 ------------------------------                 << 
 - Small fixes for warnings in compilation.     << 
 - Revisions of descriptions of recent tags (fo << 
                                                << 
 September 26, 2018 D.Sorokin                   << 
 ----------------------------                   << 
 - Implemented G4InterpolationDriver. This driv << 
   stepper with interpolation property to integ << 
   The field evaluations used to calculate the  << 
   be reused to obtain one or multiple internal << 
   So in steps in which an intersection is foun << 
   evaluations are expected to be reduced subst << 
                                                << 
 September 13, 2018 D.Sorokin                   << 
 ----------------------------                   << 
 - G4NystromRK4 creates G4CachedMagneticField i << 
 - Removed G4MagIntegratorStepper::ComputeRight << 
   (all calls now use non-virtual RightHandSide << 
 - Reversed declaration of final for the class  << 
   Returned to previous status: only GetFieldVa << 
   ( This avoid need to change examples/tests a << 
     users' code. )                             << 
                                                << 
 September 12, 2018 D.Sorokin                   << 
 ----------------------------                   << 
 - Created new experimental driver G4BFieldInte << 
   magnetic fields.  In QuickAdvance it uses he << 
   estimated 'helix' rotation angle is larger t << 
 - G4NystromRK4 uses G4CachedMagneticField for  << 
   NOTE: It now the user's responsibility to cr << 
   ( The alternative is to create G4CachedMagne << 
     But this would have several disadvantages: << 
     * It would change the field in the user's  << 
     * G4NystromRK4 is not able to check whethe << 
       that changes the equation using SetEquat << 
                                                << 
 July 10, 2018 D. Sorokin              - field- << 
 ------------------------ Tags by J. Apostolaki << 
 - Corrections in calculation of chord distance << 
   ( use 4th order interpolation from Shampine  << 
 - Revised G4FieldUtils: moved copy() method fr << 
   added 2 new setValue: simple & variadic meth << 
 - Fixes to copy input time in ModifiedMidpoint << 
   Bogacki-Shampine 4/5 and 2/3  (note: B-S 2/3 << 
   Dormand Prince 4/5, 5/6 and 7/8,  and Tsitou << 
 - Trial revision in G4BulirschStoer to reduce  << 
   operations (J.A.)                            << 
 - Fix for unitialised pIntStepper pointer in G << 
   constructor.  Revision of data member variab << 
                                                << 
 June 15, 2018 G.Cosmo                   - fiel << 
 ---------------------                          << 
 - Fixed minor Coverity defects in G4BurlischSt << 
   Code cleanup.                                << 
                                                << 
 June 13, 2018 G.Cosmo                   - fiel << 
 ---------------------                          << 
 - Leave override final only for clone() method << 
   not in destructor...                         << 
                                                << 
 June 12, 2018 G.Cosmo                   - fiel << 
 ---------------------                          << 
 - Use G4Exception warnings instead of streamin << 
 - Added override final for virtual methods in  << 
 - Some code cleanup.                           << 
                                                << 
 Apr 30, 2018 J. Apostolakis             - fiel << 
 ---------------------------                    << 
 - G4VIntegrationDriver and derived classes     << 
                                                << 
   Added new virtual method in G4VIntegrationDr << 
       void RenewStepperAndAdjust(G4MagIntegrat << 
   which used to exist in G4MagInt_Driver.      << 
   ( Its absence caused a problem in some exist << 
                                                << 
   This method must be defined in those derived << 
   a Runge Kutta stepper ( i.e. some or any typ << 
                                                << 
 - G4IntegrationDriver, G4FSALIntegrationDriver << 
   Defined default implementation (which throws << 
   implementations in the templated classes G4I << 
   G4FSALIntegrationDriver which check the type << 
   change the stepper if it is appropriate.     << 
                                                << 
 Feb 13, 2018 J. Apostolakis             - fiel << 
 ---------------------------                    << 
 - Change in G4FieldManager::CreateChordFinder  << 
   better with case that field argument is null << 
                                                << 
 Feb 13, 2018 D. Sorokin                 - fiel << 
 -----------------------                 - fiel << 
 - Introduced Bulirsch-Stoer method of integrat << 
   to Runge-Kutta based on the mid-point method << 
   Separate driver derived G4VIntegrationDriver << 
   using specialisation of G4IntegrationDriver  << 
   Note: this method does not have a RK 'Steppe << 
                                                << 
 Jan 31, 2018 J. Apostolakis                    << 
 ---------------------------                    << 
 - G4MagneticField no longer inherits from G4El << 
   This was incorrect, and allowed a user to pr << 
   field, but obtain the force only from the B- << 
   the equation created in the G4ChordFinder co << 
    => potential interface change.              << 
                                                << 
   Result: It is no longer possible to use the  << 
      pure magnetic field for the case of a mix << 
      This change is desired, and is a *protect << 
      use led to incorrect results.             << 
   Instead the full chain of classes for equati << 
      steppers and driver must be used for the  << 
                                                << 
 Feb 9, 2017 G.Cosmo                     - fiel << 
 -------------------                            << 
 - Removed static data from G4FSALIntegrationDr << 
   G4MagIntegratorDriver and moved to base clas << 
   Fix required for allowing proper symbol expo << 
                                                << 
 Nov 17, 2017 J. Apostolakis             - fiel << 
 ---------------------------                    << 
 - G4ChordFinder: Reinstated old driver G4MagIn << 
     with G4DormandPrince745 (5th order) in G4C << 
     2nd constructor (with magnetic field.)     << 
   ( Reverses change made in field-V10-03-27 )  << 
                                                << 
 Nov 16, 2017 J. Apostolakis             - fiel << 
 ---------------------------                    << 
 - Suppressed statistics printing in G4ChordFin << 
    ( G4IntegrationDriver and G4FSALIntegration << 
    protecting them by verbosity flags.         << 
                                                << 
 - Minor fix to initialise scalar data member i << 
   G4RK547FEq1, G4RK547FEq2 and G4RK547FEq3.    << 
   Fixes coverity issues 97886, 97888 and 97889 << 
                                                << 
                                                << 
 Nov 14, 2017 J. Apostolakis             - fiel << 
 ---------------------------                    << 
 - Suppressed extra verbosity in G4ChordFinder. << 
 - Fix in G4FSALDormandPrince745 for unitialise << 
   Initialise ak8[], ak9[] in constructor. This << 
   memory allocation, without deletion - i.e. a << 
 - Initialise fLastStepLength and/or fAuxSteppe << 
   in constructors of G4DormandPrince745 and G4 << 
   Coverity issues: 67394 (G4FSALDormandPrince7 << 
                    67391     (G4DormandPrince7 << 
                                                << 
 Nov 14, 2017 J. Apostolakis             - fiel << 
 ---------------------------             - fiel << 
 - G4ChordFinder: changes in default stepper &  << 
   in which only a magnetic field is provided ( << 
                                                << 
   * Reinstated G4DormandPrince745 (5th order)  << 
    (corrected -23, which missed to initialise  << 
                                                << 
   * New templated driver G4IntegrationDriver i << 
     the simple constuctors of G4ChordFinder an << 
     which only require a (pure) magnetic field << 
                                                << 
   Additional information and details:          << 
   * New optional parameter to constructor of G << 
     allow to create an FSAL stepper and corres << 
     This aims to reuse some derivatives, thus  << 
     of derivatives and thus field evaluations. << 
                                                << 
   * The templated 'driver' classes, available  << 
     G4ChordFinder's 2nd constructor, are used  << 
     class:                                     << 
      - G4IntegrationDriver      for non-FSAL   << 
      - G4FSALIntegrationDriver  for FSAL-capab << 
     These make non-virtual calls to the steppe << 
                                                << 
 - First fix in G4FSALDormandPrince745 for memo << 
   delete[] fInitialDyDx in destructor. Coverit << 
                                                << 
 ---------------------------------------------- << 
 Multiple tags (below) were to better test step << 
 Date   Tagger         Tag name        Stepper  << 
 ============================================== << 
 Nov 3, D. Sorokin     field-V10-03-25 G4FSALBo << 
 Nov 3, J. Apostolakis field-V10-03-24 G4FSALDo << 
 Nov 2, J. Apostolakis field-V10-03-23 G4Dorman << 
 Nov 2, J. Apostolakis field-V10-03-22 G4RK547F << 
 ---------------------------------------------- << 
 Glossary of drivers:                           << 
    the FSAL driver = using G4FSALIntegrationDr << 
    the new  driver = using G4IntegrationDriver << 
 ============================================== << 
                                                << 
 Nov  2, 2017 D. Sorokin                 - fiel << 
 ---------------------------------------        << 
 - Added new steppers G4RK547FEq{1,2,3} which i << 
   Runge-Kutta 4,5 pairs with:                  << 
      - FSAL property (return derivative at end << 
      - stable equilibrium states ( improved ha << 
          integration: better stability in choo << 
   Each one can be used with all existing Runge << 
      - G4FSALIntegrationDriver, using its FSAL << 
      - G4IntegrationDriver    without its FSAL << 
      - the original G4MagInt_Driver, also igno << 
                                                << 
 - Reinstated G4DormandPrince745  ( known widel << 
   the default RK method in G4ChordFinder for p << 
     ( Withdrew G4BogackiShampine45. )  J. Apos << 
                                                << 
 Nov  1, 2017 J. Apostolakis             - fiel << 
 ---------------------------                    << 
 - Made G4BogackiShampine45 the default RK meth << 
    for pure magnetic fields.                   << 
                                                << 
 Oct 30, 2017 D. Sorokin/J.Apostolakis   - fiel << 
 ---------------------------------------        << 
 - add GetStepper method to G4VIntegrationDrive << 
                                                << 
 Oct 20, 2017 D. Sorokin                 - fiel << 
 ---------------------------------------        << 
 Introduced base class for any driver algorithm << 
 New concrete classes added:                    << 
 - G4IntegrationDriver: implementation of templ << 
   for non-fsal explicit Runge-Kutta steppers   << 
 - G4FSALIntegrationDriver: implementation of d << 
   FSAL explicit Runge-Kutta steppers.          << 
 Existing class G4MagInt_Drv remains, deriving  << 
                                                << 
 - Expanded testing in testProElectroMagField ( << 
    ( J. Apostolakis)                           << 
                                                << 
 Oct 13, 2017 D. Sorokin                 - fiel << 
 ---------------------------------------        << 
 - add G4FieldUtils.hh, G4FieldUtils.icc, G4Fie << 
   utilities to extract data from arrays in con << 
   magneticfield integration.                   << 
                                                << 
 Oct 13, 2017 G. Cosmo                   - fiel << 
 ---------------------------------------        << 
 - G4NystromRK4: use consistenly G4 types for d << 
                                                << 
 Aug 31, 2017 J. Apostolakis             - fiel << 
 ---------------------------------------        << 
 - Made G4DormandPrince457 the default Stepper  << 
   G4ChordFinder - when a driver/stepper is not << 
                                                << 
 Aug 31, 2017 J. Apostolakis             - fiel << 
 ---------------------------------------        << 
 - G4NystromRK4: used caching of momentum magni << 
   to reduce overhead of fix in field-V10-03-10 << 
                                                << 
 Aug 25, 2017 J. Apostolakis             - fiel << 
 ---------------------------------------        << 
 - G4MagInt_Driver: added GetEquationOfMotion m << 
   code with future develoment.                 << 
                                                << 
 Aug 24, 2017 D.Sorokin & J. Apostolakis - fiel << 
 ---------------------------------------        << 
 - G4NystromRK4: correction in call to getField << 
     ( Spotted by D. Sorokin )                  << 
   Also small cleanup of testing code into 2 sm << 
     ( J. Apostolakis )                         << 
                                                << 
 Aug 23, 2017 J.Apostolakis              - fiel << 
 --------------------------                     << 
 - G4NystromRK4 - Fix the caching of momentum,  << 
   Fixes issue reported by ALICE ( problem repo << 
   Thanks to Ruben Shahoyan for identifying and << 
 - Temporarly made G4NystromRK4 the default Ste << 
   constructor (to ensure adequate testing).    << 
                                                << 
 Jul 04, 2017 J.Apostolakis             - field << 
 --------------------------                     << 
 - G4DormandPrinceRK78: initialise fLastStepLen << 
   members in constructor. Coverity issue: 6739 << 
   Improved description and reference to origin << 
 - G4MagIntegratorDriver: initialised fNoCalls  << 
                                                << 
 Jul 03, 2017 J.Apostolakis             - field << 
 --------------------------                     << 
 - G4FSALBogackiShampline45: initialise 'bi[][] << 
   in method PrepareConstants() called by const << 
     ( Similar to G4BogackiShampine => seek con << 
   Small fix: initialise fAuxStepper to nullptr << 
     ( Part of Coverity issue 67394 )           << 
 - G4DormandPrinceRK56: fix for significant mem << 
   space in SetupInterpolate_low(), apparently  << 
   because it was initialised in each use, not  << 
   Improved initialisation of ak10, 11, 12 (mov << 
   and fixed small memory leak (added deletion  << 
 - G4MagIntegratorStepper: initialise fNoRHSCal << 
   ( fIntegrationOrder is not yet used widely - << 
   Coverity issue 67392.                        << 
 - G4VFSALIntegrationStepper: initialise counte << 
 - G4BogackiShampine23: initialised fIsFSAL, fI << 
   Suppressed obsolete virtual method isFSAL,   << 
   Deleted duplicate virtual method 'isFSAL()'. << 
   now exists in base class G4MagIntegratorStep << 
   Made copy constructor and equal operator pri << 
   Added explanatory comments in source file; c << 
   (it calculates derivative @ endpoint. )      << 
 - Several steppers ( G4DoLoMcPriRK34, G4FSALBo << 
   G4DormandPrince745, G4BogackiShampine45 ): i << 
   fAuxStepper data members in constructor.     << 
   Coverity issues: 67393, 67394, 67391, 67390, << 
                                                << 
 Jul 03, 2017 J.Apostolakis             - field << 
 --------------------------                     << 
 - fix for memory leak in Stepper() in two step << 
      G4FSALBogackiShampline45 ( Coverity issue << 
      G4FSALDormandPrince745   ( Coverity issue << 
 - G4BogackiShampline23: fix for memory leak in << 
     ( Coverity issue 67355 )                   << 
                                                << 
 May 17, 2017 J.Apostolakis             - field << 
 --------------------------                     << 
 - G4FieldManager::SetDetectorField             << 
   Fixed default of 'fail mode' parameter in    << 
      to 0 (silent) - not 1 which was used for  << 
   In case of existing G4ChordFinder, use 'max' << 
                                                << 
                                                << 
 May 11, 2017 J.Apostolakis             - field << 
 --------------------------                     << 
 - Reintroduced changes of field-V10-01-05, 06  << 
   issue recalled by ATLAS.                     << 
 - New fixes/refinements (since field-V10-01-07 << 
   o Extra check for missing equation. (Fix)    << 
   o Renamed G4FieldManager::SetFieldChangesEne << 
     InitialiseFieldChangesEnergy() to clarify  << 
 - Original functionality change (copied from f << 
   o G4FieldManager.cc : Revised behaviour of S << 
     passes the Field to the Equation, as is th << 
     The previous behaviour is possible, using  << 
             Values: 0           = silent ;     << 
                     1 (default) = warning;     << 
                     2 or other  = fatal except << 
                                                << 
     This change is to ensure that user expecta << 
     if the field is changed for an existing, w << 
     be propagated to the equation of motion.   << 
     Note: this causes potential conflict betwe << 
           and the field, which will need to be << 
     Old behaviour (just set our own pointer) i << 
     ProposeDetectorField(G4Field *detectorFiel << 
     Note: Error reporting behaviour of SetDete << 
           complain by default if ChordFinder i << 
           ( The default values of failMode = 0 << 
     If a chord-finder exists, it will still wa << 
     To obtain have noisy extra checks call Set << 
     or by using the new method for an existing << 
     ChangeDetectorField(G4Field *detectorField << 
   OLD: Co-works and requires new tag in geomet << 
                                                << 
 Mar  22, 2017 G.Cosmo                   - fiel << 
 ---------------------                          << 
 - Revert change made in previous tag and add s << 
   singleton pointer.                           << 
                                                << 
 Mar  17, 2017 G.Cosmo                   - fiel << 
 ---------------------                          << 
 - Define G4FieldManagerStore as normal singlet << 
                                                << 
 Oct   7, 2016 J.Apostolakis             - fiel << 
 ---------------------------                    << 
 - Checked loops for termination for infinite l << 
    them with "Loop checking" comment           << 
                                                << 
 Oct   7, 2016 D.Sorokin                 - fiel << 
 -----------------------  Commit: J. Apostolaki << 
 - Protection for multiple inclusion of G4Class << 
    (thanks to Dmitrii Sorokin, GSoC 2016 stude << 
                                                << 
 Aug  16, 2016 J.Apostolakis             - fiel << 
 ---------------------------                    << 
 - Added initialization of fAuxStepper in const << 
   G4DoLoMcPriRK34, G4DormandPrince745 & G4Dorm << 
                                                << 
 June 11, 2016 J.Apostolakis             - fiel << 
 ---------------------------                    << 
 - Restored G4ClassicalRK4 as default stepper f << 
   (due to performance issues reported in bench << 
                                                << 
 June 10, 2016 G.Cosmo                   - fiel << 
 ---------------------                          << 
 - Fixed code indentation in G4HelixMixedSteppe << 
   fixes compilation warnings on gcc-6.1.       << 
                                                << 
 June 1, 2016 J.Apostolakis              - fiel << 
 --------------------------                     << 
 - Fix in multiple steppers for the size of two << 
   intermediate values;  they must be at least  << 
   'fNumberOfStateVariables' long.              << 
   Changed: G4CashKarp,                         << 
            G4BogackiShampine 23 & 34           << 
            G4DormandPrince 745, RK56 & RK78    << 
      G4DoLoMcPriRK34                           << 
            G4FSALBogackiShampine45, G4FSALDorm << 
 - Made G4CashKarp the default stepper in G4Cho << 
 - Deleted trial class G4NewChordFinder.        << 
                                                << 
 June 1, 2016 J.Apostolakis              - fiel << 
 --------------------------                     << 
 - Deleted test code (RkTestRun) due to cmake i << 
                                                << 
 June 1, 2016 J.Apostolakis              - fiel << 
 --------------------------                     << 
 - Made G4ClassicalRK4 the default stepper agai << 
 - Fixes in test code (RkTestRun) for new names << 
                                                << 
 May 31, 2016 J.Apostolakis              - fiel << 
 --------------------------                     << 
 - New class G4NewChordFinder, that uses old G4 << 
     the newer G4FSALIntegratorDriver -- first  << 
   Created new test testNewChordFinder.cc to ch << 
                                                << 
 - Renamed new Stepper classes to use 'G4' pref << 
     DormandPrince{745,RK56,RK67} TsitourasRK45 << 
                                                << 
 - Renamed FSAL base classes to use 'G4' prefix << 
      FSALMagIntegratorStepper to G4VFSALIntegr << 
      FSALIntegratorDriver     to  G4FSALIntegr << 
   and the experimental FSAL versions of steppe << 
      FBogackiShampine45.hh  to  G4FSALBogackiS << 
      FDormandPrince745.hh   to  G4FSALDormandP << 
 ( Note: FSAL steppers remain 'behind' the impr << 
                                                << 
 - Made DormandPrince745 (DP45) the default ste << 
                                                << 
 May 26, 2016 J.Apostolakis & Som. Banerjee   - << 
 ------------------------------------------     << 
 - First version of FSAL classes (as additional << 
     FSAL Integrator Driver  : New *concrete*,  << 
     FSAL Integrator Stepper : New base class ( << 
     FBogackiShampine45:  FSAL-version of Bogac << 
     FDormandPrince745:   FSAL-version of FDorm << 
   Developed by Somnath Banerjee in GSoC 2015   << 
                                                << 
 Context:                                       << 
 * FSAL Stepper's key 'Stepper()' method for St << 
     argument to return the derivative at the e << 
     If the step was successful, this estimate  << 
     accuracy as the stepper (i.e. 5th order fo << 
                                                << 
 - FSAL Driver method uses the revised Stepper  << 
     the final (endpoint) derivative for succes << 
     as the start derivative for the next step, << 
     continuing of integration.                 << 
                                                << 
 - New test (RkTestRun.cc) covering FSAL method << 
    Developed by Somnath Banerjee in GSoC 2015  << 
                                                << 
 May 26, 2016 J.Apostolakis                   - << 
 --------------------------                     << 
 Preparation for addition of FSAL steppers (& d << 
 - G4MagIntegratorStepper: Added counter for ca << 
     with Get/Reset methods.                    << 
 - Cosmetic fixes in sources.cmake (tabs to spa << 
                                                << 
 May 25, 2016 J.Apostolakis & Som. Banerjee   - << 
 ------------------------------------------     << 
 - Added new stepper classes embedded RK method << 
   * DoLoMcPriRK34,      6-stage 3/4 RK (interp << 
   * DormandPrinceRK56,  9-stage 5/6 RK (interp << 
   * DormandPrinceRK78, 13-stage 7/8 RK (interp << 
   created by Somnath Banerjee as part of GSoC  << 
                                                << 
 May 25, 2016 J.Apostolakis             - field << 
 --------------------------                     << 
 - Revised testPropagateMagField, to reduce err << 
     steps.  An error message is still written  << 
     but test does not stop.                    << 
                                                << 
 - G4HelixMixedStepper: Fixes & added new (5th  << 
     Included (G4)Bogacki-Shampine 23/45 ,  Dor << 
     and newest TsitourasRK45.                  << 
                                                << 
 May 24, 2016 J.Apostolakis             - field << 
 --------------------------                     << 
 - Added TsitourasRK45 stepper.                 << 
 - Made Cash-Karp the default stepper (in G4Cho << 
                                                << 
 May 23, 2016 J.Apostolakis             - field << 
 --------------------------                     << 
 - Made DormandPrince745 (DP45) the default ste << 
                                                << 
 May 20, 2016 J.Apostolakis             - field << 
 -------------------------                      << 
 - Added steppers created by Somnath Banerjee a << 
     G4BogackiShampine23 (BS23 below), G4Bogack << 
     DormandPrince745 (DP45).                   << 
   These implement third order (BS23) and fifth << 
     embedded RK tableaus.                      << 
 - DP45 includes interpolation method, to evalu << 
     ('y') at intermediate points of a successf << 
   BS45's interpolation method exists, but is n << 
                                                << 
  References:                                   << 
   - BS45 is embedded pair from paper by P. Bog << 
       “An efficient Runge-Kutta (4,5) pair,â << 
       Comput. Math. with Appl., vol. 32, no. 6 << 
   - BS23 is four stage RK method from the pape << 
       “A 3(2) pair of Runge - Kutta formulas << 
       Appl. Math. Lett., vol 2, no 4, p.321 (1 << 
   - DP45 are from Table 2 of  J. R. Dormand an << 
       “A family of embedded Runge-Kutta form << 
       Journal of comput. and applied Math., vo << 
                                                << 
 May 4, 2016 G.Cosmo                   - field- << 
 -------------------                            << 
 - Fixed Clone() signatures in derived Field cl << 
   More corrections on implementations of opera << 
                                                << 
 Apr 29, 2016 G.Cosmo                  - field- << 
 --------------------                           << 
 - Corrected implementation of operator=() and  << 
   G4ElectroMagneticField, G4ElectricField and  << 
                                                << 
 Feb 25, 2016 P.Gumplinger             - field- << 
 -------------------------                      << 
 - address Problem Report: 1831                 << 
   change: G4Mag_SpinEqRhs, G4EqEMFieldWithSpin << 
           G4RepleteEofM.cc from g_BMT = (magMo << 
                            to   g_BMT = (std:: << 
                                                << 
                                                << 
 Dec 11, 2015 A.Dotti          - field-V10-02-0 << 
 --------------------------                     << 
 Fixing typo in tests/CMakeList.txt file: subdi << 
 instead of add_subdirectory()                  << 
                                                      
                                                   >>         =========================================================
                                                   >>         Geant4 - an Object-Oriented Toolkit for Simulation in HEP
                                                   >>         =========================================================
                                                   >>    
                                                   >>                          Category History file
                                                   >>                          ---------------------
                                                   >>   This file should be used by G4 developers and category coordinators
                                                   >>   to briefly summarize all major modifications introduced in the code
                                                   >>   and keep track of all category-tags.
                                                   >>   It DOES NOT substitute the  CVS log-message one should put at every
                                                   >>   committal in the CVS repository !
                                                   >>   
                                                   >>        ----------------------------------------------------------
                                                   >>        * Reverse chronological order (last date on top), please *
                                                   >>        ----------------------------------------------------------
 Nov  2, 2015 J.Apostolakis             - field      Nov  2, 2015 J.Apostolakis             - field-V10-01-15 (fixed)
 Oct 22, 2015 J.Apostolakis             - field      Oct 22, 2015 J.Apostolakis             - field-V10-01-14
 --------------------------                          --------------------------
 - Reverted changes in G4FieldManager from  tag      - Reverted changes in G4FieldManager from  tags field-V10-01-05 to -07
    inadvertently reintroduced in tag field-V10         inadvertently reintroduced in tag field-V10-01-13
     (fixed in tag -15: committed new copy from          (fixed in tag -15: committed new copy from tag -04 'on top')
                                                <<       
 - Added explanation comment in G4MagHelicalSte      - Added explanation comment in G4MagHelicalSteper.
                                                <<       
 Oct 13, 2015 J.Apostolakis             - field      Oct 13, 2015 J.Apostolakis             - field-V10-01-13
 --------------------------                          --------------------------
 - G4ChordFinder::FindNextChord: Added check ag <<   - G4ChordFinder::FindNextChord: Added check against number of iterations, 
   to identify potential issue of lack of conve        to identify potential issue of lack of convergence.
 - test: fixed testProElectricMagField.cc            - test: fixed testProElectricMagField.cc
                                                     
 - Note: tag-13 inadvertently reintroduced chan      - Note: tag-13 inadvertently reintroduced changes from tags field-V10-01-05 to -07
                                                     
 Jun 26, 2015 P.Gumplinger              - field      Jun 26, 2015 P.Gumplinger              - field-V10-01-12, 11
 -------------------------                           -------------------------
 - Include 'NumberOfVariables' in G4RepleteEofM      - Include 'NumberOfVariables' in G4RepleteEofM constructor argument list.
                                                     
 Jun 22, 2015 G.Cosmo                   - field      Jun 22, 2015 G.Cosmo                   - field-V10-01-10
 --------------------                                --------------------
 - Withdrawn also changes introduced in tag "fi      - Withdrawn also changes introduced in tag "field-V10-01-08", as
   responsible for memory violation errors in V        responsible for memory violation errors in Valgrind.
   Now corresponding to tag "field-V10-01-04".         Now corresponding to tag "field-V10-01-04".
                                                     
 Jun 18, 2015 G.Cosmo                   - field      Jun 18, 2015 G.Cosmo                   - field-V10-01-09
 --------------------                                --------------------
 - Withdrawn changes introduced from tag "field      - Withdrawn changes introduced from tag "field-V10-01-05" to tag
   "field-V10-01-07" included, responsible for         "field-V10-01-07" included, responsible for failures on SLC6 and
   run-time errors on Valgrind checks.                 run-time errors on Valgrind checks.
                                                     
 Jun 10, 2015 P.Gumplinger              - field      Jun 10, 2015 P.Gumplinger              - field-V10-01-08
 -------------------------                           -------------------------
 - initialize all elements of dydx[] in G4Reple      - initialize all elements of dydx[] in G4RepleteEofM::EvaluateRhsGivenB
   Thanks to Tatsuya Kikawa (Osaka Univ.)              Thanks to Tatsuya Kikawa (Osaka Univ.)
                                                     
 Jun 10, 2015 J.Apostolakis             - field      Jun 10, 2015 J.Apostolakis             - field-V10-01-07
 --------------------------                          --------------------------
 - G4FieldManager.cc : Made behaviour of SetDet      - G4FieldManager.cc : Made behaviour of SetDetector 'softer'.  No
    longer complains by default if ChordFinder          longer complains by default if ChordFinder is not (yet) set.
     ( The default values of failMode = 0 i.e.           ( The default values of failMode = 0 i.e. quiet. )
    If a chord-finder exists, it will still war         If a chord-finder exists, it will still warn for other errors.
                                                <<      
    It is still possible to have louder/extra c         It is still possible to have louder/extra checks done calling
      SetDetectorField with failMode > 0                  SetDetectorField with failMode > 0
    or by using a new method, which expects an          or by using a new method, which expects an existing field:
      ChangeDetectorField(G4Field *detectorFiel <<        ChangeDetectorField(G4Field *detectorField)    
                                                     
 Jun  8, 2015 J.Apostolakis             - field      Jun  8, 2015 J.Apostolakis             - field-V10-01-05, (-06 fixed)
 --------------------------                          --------------------------
 - G4FieldManager.cc : Revised behaviour of Set      - G4FieldManager.cc : Revised behaviour of SetDetector - it now
    passes the Field to the Equation, as is the         passes the Field to the Equation, as is the natural user expectation
    The previous behaviour is possible, using e <<      The previous behaviour is possible, using extra argument 'failMode' 
       flag. Values: 0           = silent ;     <<         flag. Values: 0           = silent ; 
                     1 (default) = warning;     <<                       1 (default) = warning; 
                     2 or other  = fatal except                          2 or other  = fatal exception.
    Or can use alternative (new) suggestion met         Or can use alternative (new) suggestion method ProposeDetectorField();
                                                     
    This change is to ensure that user expectat <<      This change is to ensure that user expectation is met: 
       if the field is changed for an existing, <<         if the field is changed for an existing, working stepper it must 
       be propagated to the equation of motion.            be propagated to the equation of motion.
    Note: this causes potential conflict betwee         Note: this causes potential conflict between the type of the equation
          and the field, which will need to be                and the field, which will need to be solved in the future.
                                                     
    Old behaviour (just set our own pointer) is         Old behaviour (just set our own pointer) is still available in new method:
      ProposeDetectorField(G4Field *detectorFie <<        ProposeDetectorField(G4Field *detectorField) 
                                                     
    Co-works and requires new tag in geometry/n         Co-works and requires new tag in geometry/navigation: geomnav-V10-01-24.
                                                     
 Jun 4, 2015 P. Gumplinger              - field      Jun 4, 2015 P. Gumplinger              - field-V10-01-04
 -------------------------                           -------------------------
 - change assignment to field instead of Field       - change assignment to field instead of Field array in G4RepleteEofM.cc
                                                     
 Jan 28, 2015 J.Apostolakis             - field      Jan 28, 2015 J.Apostolakis             - field-V10-01-01 (-02,03 fixed)
 --------------------------                          --------------------------                               ( History    )
 - Revert unintended inclusion of changes in G4      - Revert unintended inclusion of changes in G4MagIntegratorDriver
                                                     
 Jan 15, 2015 J.Apostolakis             - field <<   Jan 15, 2015 J.Apostolakis             - field-V10-01-00 
 --------------------------                          --------------------------
 - Small refinements in G4FieldTrack - access r     - Small refinements in G4FieldTrack - access rest mass, avoid div by 0
     Avoid division by zero for Unit direction  <<      Avoid division by zero for Unit direction in FieldTrack 
     Added method to get Rest Mass.                     Added method to get Rest Mass.
   Needed for fixes related to Problem report 1       Needed for fixes related to Problem report 1696.
   Thanks to Nathan S. Froemming <nfroemm@uw.ed       Thanks to Nathan S. Froemming <nfroemm@uw.edu> who reported the issue
    and created dedicated test to demonstrate i        and created dedicated test to demonstrate it.
                                                    
 Nov 03, 2014 G.Cosmo                   - field     Nov 03, 2014 G.Cosmo                   - field-V10-00-04
 --------------------                               --------------------
 - Moved constructors and simple methods to in      - Moved constructors and simple methods to in line in G4ChargeState and
   G4LineSection for CPU speedup (courtesy of S       G4LineSection for CPU speedup (courtesy of S.Wenzel).
                                                    
 May 21, 2014 J.Apostolakis             - field     May 21, 2014 J.Apostolakis             - field-V10-00-03
 --------------------------                         --------------------------
 - G4FieldTrack:                                    - G4FieldTrack:
   * Fixed SetChargeAndMoments() to use the new       * Fixed SetChargeAndMoments() to use the new method
     G4ChargeState::SetChargesAndMoments(); it          G4ChargeState::SetChargesAndMoments(); it was changing spin, because of
     erroneous change in G4ChargeState::SetChar         erroneous change in G4ChargeState::SetChargesAndMoments(), that method
     is now renamed SetChargeSpinMoments() to s         is now renamed SetChargeSpinMoments() to show what it does;
   * Added pdg-spin as argument to constructors       * Added pdg-spin as argument to constructors (needed to track polarization);
   * Renamed 'spin' to 'Polarization' in method       * Renamed 'spin' to 'Polarization' in method, arguments, data member to
     avoid confusion;                                   avoid confusion;
   * Revised constructors to add pdg-spin as la       * Revised constructors to add pdg-spin as last argument (with default -1).
 - G4ChargeState:                                   - G4ChargeState:
   - Addressed Coverity issue #56281 'Arguments <<    - Addressed Coverity issue #56281 'Arguments in wrong order'  
     G4ChargeState::SetChargeMoments() when use         G4ChargeState::SetChargeMoments() when used in
     G4FieldTrack::SetChargeMoments() from addi         G4FieldTrack::SetChargeMoments() from addition of spin to arguments,
     without revising name of method to reflect         without revising name of method to reflect it;
   - Changed order of arguments in constructor,       - Changed order of arguments in constructor, making spin 3rd argument
     (was 2nd) and making all arguments mandato         (was 2nd) and making all arguments mandatory;
   - Renamed SetChargeAndMoments() method with        - Renamed SetChargeAndMoments() method with 5 arguments including spin (2nd)
     to SetChargeSpinMoments();                         to SetChargeSpinMoments();
   - Added new methods including SetChargesAndM       - Added new methods including SetChargesAndMoments(), SetChargeMdm(),
     SetChargeDipoleMoments() (no spin), and al         SetChargeDipoleMoments() (no spin), and also SetChargeSpin(),
     SetChargeMdmSpin() (which includes spin) t <<      SetChargeMdmSpin() (which includes spin) to provide most/all potential 
     combinations.                                      combinations.
 - G4MagIntegratorDriver::OneGoodStep():            - G4MagIntegratorDriver::OneGoodStep():
   * Trial changes to address Valgrind issue, a       * Trial changes to address Valgrind issue, about value used before being set.
                                                    
 Apr 01, 2014 J.Apostolakis                - fi     Apr 01, 2014 J.Apostolakis                - field-V10-00-02
 --------------------------                         --------------------------
 - Moved G4FieldTrack::LoadFromArray() to .cc a     - Moved G4FieldTrack::LoadFromArray() to .cc and removed non-necessary
   thread-local static data local to the functi       thread-local static data local to the function.
                                                    
 Mar 14, 2014 J.Apostolakis                - fi     Mar 14, 2014 J.Apostolakis                - field-V10-00-01
 --------------------------                         --------------------------
 - Fix assignment operator for G4FieldTrack. (C     - Fix assignment operator for G4FieldTrack. (Copied Rest Mass)
 - Improve printing of G4FieldTrack                 - Improve printing of G4FieldTrack
                                                    
 Jan 17, 2014 P.Gumplinger                 - fi     Jan 17, 2014 P.Gumplinger                 - field-V10-00-00
 -------------------------                          -------------------------
 - add G4Mag_EqRhs::SetChargeMomentumMass( part     - add G4Mag_EqRhs::SetChargeMomentumMass( particleCharge, MomentumXc, mass)
   to G4Mag_SpinEqRhs::SetChargeMomentumMass, s       to G4Mag_SpinEqRhs::SetChargeMomentumMass, see bug reported at:
   http://hypernews.slac.stanford.edu/HyperNews       http://hypernews.slac.stanford.edu/HyperNews/geant4/get/emfields/210.html
                                                    
 Nov 18, 2013 P.Gumplinger                 - fi     Nov 18, 2013 P.Gumplinger                 - field-V09-06-13/12
 -------------------------                          -------------------------
 - fix Coverity warning in G4RepleteEofM            - fix Coverity warning in G4RepleteEofM
                                                    
 Nov 17, 2013 J.Apostolakis                     <<  Nov 17, 2013 J.Apostolakis                
 --------------------------                         --------------------------
 - Fixed and improved HelixMixed Stepper:          - Fixed and improved HelixMixed Stepper:
     Corrected the default stepper for small s         Corrected the default stepper for small steps to be ClassicalRK4.
     Added Angle-threshold parameter. (Default         Added Angle-threshold parameter. (Default remains 0.33 radians.)
     Added more Steppers, including G4NystromR         Added more Steppers, including G4NystromRK4.
     Revised Id numbers of Steppers, to make t         Revised Id numbers of Steppers, to make the best more visible.
     More comments in Stepper().                       More comments in Stepper().
                                                   
 Nov 05, 2013 P.Gumplinger                 - f     Nov 05, 2013 P.Gumplinger                 - field-V09-06-11
 -------------------------                         -------------------------
 - remove writing out-of-bounds dydx[8] = 0. i     - remove writing out-of-bounds dydx[8] = 0. in G4RepleteEofM.cc
                                                   
 Nov 04, 2013 P.Gumplinger                 - f     Nov 04, 2013 P.Gumplinger                 - field-V09-06-10
 -------------------------                         -------------------------
 - add G4RepleteEofM to sources.cmake              - add G4RepleteEofM to sources.cmake
                                             f                                                 field-V09-06-09 - same as
 Nov 01st, 2013 P.Gumplinger               - f     Nov 01st, 2013 P.Gumplinger               - field-V09-06-08
 ---------------------------                       ---------------------------
 - add G4RepleteEofM: EofM that includes force     - add G4RepleteEofM: EofM that includes force due to B, E, and gravity field
   as well as mu*grad(B) and spin tracking.          as well as mu*grad(B) and spin tracking.
                                                   
 May 10th, 2013 P.Gumplinger/J.Apostolakis - f     May 10th, 2013 P.Gumplinger/J.Apostolakis - field-V09-06-07
 -----------------------------------------         -----------------------------------------
 - Revised number of field components (to allo     - Revised number of field components (to allow up to 24).
    18 are required for new applications (B, E        18 are required for new applications (B, E, Gravity, B-gradients)
 - Fixes for initialisation errors found by Co     - Fixes for initialisation errors found by Coverity.
                                                   
 May 10th, 2013 P.Gumplinger - field-V09-06-06     May 10th, 2013 P.Gumplinger - field-V09-06-06
 ---------------------------                       ---------------------------
 - prevent divided by zero and shortcut spin t     - prevent divided by zero and shortcut spin tracking for spin == 0
   particles: G4Mag_SpinEqRhs.cc, G4EqEMFieldW       particles: G4Mag_SpinEqRhs.cc, G4EqEMFieldWithSpin.cc and
   G4EqEMFieldWithEDM.cc                             G4EqEMFieldWithEDM.cc
                                             f <<                                              field-V09-06-05 - same 
 May 8th,  2013 P.Gumplinger/J.Apostolakis - f     May 8th,  2013 P.Gumplinger/J.Apostolakis - field-V09-06-04
 -----------------------------------------         -----------------------------------------
 - Introduced new class G4ChargeState to hold      - Introduced new class G4ChargeState to hold charge, spin, magnetic moment
      (promoted from internal class of G4Field          (promoted from internal class of G4FieldTrack).
 - Changed the signature of EquationOfMotion::     - Changed the signature of EquationOfMotion::SetChargeMomentumMass to
  take G4ChargeState in place of G4double (cha      take G4ChargeState in place of G4double (charge) as first argument.
 - Deleted SetChargeMomentumMass from G4ChordF     - Deleted SetChargeMomentumMass from G4ChordFinder, G4PropagatorInField,
    G4MagInt_Driver                                   G4MagInt_Driver
                                                   
 - Migrated testPropagateMagField and testProp     - Migrated testPropagateMagField and testPropagateSpin.
                                                   
 March 19th, 2013 G.Cosmo - field-V09-06-03, f     March 19th, 2013 G.Cosmo - field-V09-06-03, field-V09-06-02
 -------------------------                         -------------------------
 - Cleanup of MT changes in G4FieldManagerStor     - Cleanup of MT changes in G4FieldManagerStore.
                                                   
 February 26th, 2013 A.Dotti - field-V09-06-01     February 26th, 2013 A.Dotti - field-V09-06-01
 ---------------------------                       ---------------------------
 - First implementation of Cloning mechanism (     - First implementation of Cloning mechanism (needed for MT)
                                                   
 February 22nd, 2013 G.Cosmo - field-V09-06-00     February 22nd, 2013 G.Cosmo - field-V09-06-00
 ---------------------------                       ---------------------------
 - Cleanup of unnecessary changes for multi-th     - Cleanup of unnecessary changes for multi-threading in G4QuadrupoleMagField.
 - Removed unused private data-members in G4Ma     - Removed unused private data-members in G4Mag_UsualEqRhs and G4RKG3_Stepper.
                                                   
 November 14th, 2012 P.Mato - field-V09-05-07      November 14th, 2012 P.Mato - field-V09-05-07
 --------------------------                        --------------------------
 - G4QuadrupoleMagField: allow displaced origi     - G4QuadrupoleMagField: allow displaced origin and rotation (Björn Riese)
 - Added G4SystemOfUnits.hh in unit tests          - Added G4SystemOfUnits.hh in unit tests
                                                   
 August 30th, 2012 P.Mato - field-V09-05-06        August 30th, 2012 P.Mato - field-V09-05-06
 ------------------------                          ------------------------
 - Adapted CMakeLists.txt files to new unit te     - Adapted CMakeLists.txt files to new unit tests
                                                   
 June 11th, 2012 G.Cosmo - field-V09-05-05         June 11th, 2012 G.Cosmo - field-V09-05-05
 -----------------------                           -----------------------
 - Explicitly use inclusion of headers for sys     - Explicitly use inclusion of headers for system of units and physical
   constants, in plan to remove implicit inclu       constants, in plan to remove implicit inclusion from globals.hh.
                                                   
 May 14th, 2012 G.Cosmo - field-V09-05-04          May 14th, 2012 G.Cosmo - field-V09-05-04
 ----------------------                            ----------------------
 - Fixed spurious case of hidden variable visi     - Fixed spurious case of hidden variable visibility in G4NystromRK4,
   detected with '-Wshadow' compilation option       detected with '-Wshadow' compilation option on gcc compiler.
                                                   
 February 3rd,  2012 J.Apostolakis - field-V09     February 3rd,  2012 J.Apostolakis - field-V09-05-03
 ---------------------------------                 ---------------------------------
 - G4FieldTrack:                               <<  - G4FieldTrack: 
     Added new (inline) method to set the Rest <<      Added new (inline) method to set the Rest Mass. Needed in order to 
        reset this - and keep reuse the same G            reset this - and keep reuse the same G4FieldTrack in a client
        (across tracks.)                                  (across tracks.)
     Made SetCurvePnt() method private.                Made SetCurvePnt() method private.
     Simplified implementation of constructors <<      Simplified implementation of constructors.  Gain of 1 square root and 
        1 division per call.                              1 division per call.
                                                   
 February  3rd,  2012 G.Cosmo - field-V09-05-0     February  3rd,  2012 G.Cosmo - field-V09-05-02
 ----------------------------                      ----------------------------
 - Removed tests in CMakeLists.txt causing cat     - Removed tests in CMakeLists.txt causing catastrophic failure in system
   testing!                                          testing!
                                                   
 February  2nd,  2012 J.Apostolakis - field-V0     February  2nd,  2012 J.Apostolakis - field-V09-05-01
 ----------------------------------                ----------------------------------
 - G4Mag_UsualEqRhs: in SetChargeMomentumMass(     - G4Mag_UsualEqRhs: in SetChargeMomentumMass() method, fixed problem with
   division by zero; stopped updating 'fInvCur       division by zero; stopped updating 'fInvCurrentMomentumXc' (data member
   is obsolete).                                     is obsolete).
 - Added tests in CMakeLists.txt                   - Added tests in CMakeLists.txt
                                                   
 December 13th,  2011 G.Cosmo - field-V09-05-0     December 13th,  2011 G.Cosmo - field-V09-05-00
 ----------------------------                      ----------------------------
 - Fixed Coverity defects in G4SimpleRunge (re     - Fixed Coverity defects in G4SimpleRunge (removed spurious pointer
   data member) and G4FieldTrack (missing G4Ch       data member) and G4FieldTrack (missing G4ChargeState::operator=()).
 - Synchronised unit tests to trunk (new test      - Synchronised unit tests to trunk (new test field07 and minor updates).
                                                   
 November 11th,  2011 J.Apostolakis - field-V0     November 11th,  2011 J.Apostolakis - field-V09-04-06
 ----------------------------------                ----------------------------------
 - Added G4Field.cc to list of files in source     - Added G4Field.cc to list of files in sources.cmake
                                                   
 November  4th,  2011 J.Apostolakis - field-V0     November  4th,  2011 J.Apostolakis - field-V09-04-05
 ----------------------------------                ----------------------------------
 - G4Field: revised to improve ability to dete     - G4Field: revised to improve ability to detect gravity field:
   Added new data member to identify gravity f       Added new data member to identify gravity field;
   Added new method IsGravityActive() to acces       Added new method IsGravityActive() to access this data member;
   Created new source file: moving constructor       Created new source file: moving constructors to it.
 - Changed G4UniformGravityField and G4Electro <<  - Changed G4UniformGravityField and G4ElectroMagneticField 
   to accomodate this refinement.                    to accomodate this refinement.
                                                   
 November 2nd,  2011 P.Gumplinger - field-V09-     November 2nd,  2011 P.Gumplinger - field-V09-04-04
 --------------------------------                  --------------------------------
 - update list of files in sources.cmake           - update list of files in sources.cmake
                                                   
 October 28th,  2011 P.Gumplinger - field-V09-     October 28th,  2011 P.Gumplinger - field-V09-04-03
 --------------------------------                  --------------------------------
 - Added (uniform) gravity field capability.   <<  - Added (uniform) gravity field capability. 
   New classes G4EqGravityField, G4UniformGrav       New classes G4EqGravityField, G4UniformGravityField.
                                                   
   *Required* for co-working tag in Transporta       *Required* for co-working tag in Transportation
                                                   
 October 12th,  2011 P.Gumplinger - field-V09-     October 12th,  2011 P.Gumplinger - field-V09-04-02
 --------------------------------                  --------------------------------
 - replaced: omegac = 0.105658387*GeV/mass * 2     - replaced: omegac = 0.105658387*GeV/mass * 2.837374841e-3*(rad/cm/kilogauss)
   with:     omegac = (eplus/particleMass)*c_l       with:     omegac = (eplus/particleMass)*c_light
   in G4EqEMFieldWithEDM.cc, G4Mag_SpinEqRhs.c       in G4EqEMFieldWithEDM.cc, G4Mag_SpinEqRhs.cc, G4EqEMFieldWithSpin.cc
   changed calculation:                        <<    changed calculation: 
      std::sqrt(kineticEnergy*kineticEnergy +           std::sqrt(kineticEnergy*kineticEnergy + 2.0*restMass_c2*kineticEnergy);
   to:                                               to:
      std::sqrt(kineticEnergy*(kineticEnergy+2          std::sqrt(kineticEnergy*(kineticEnergy+2.0*restMass_c2))
   in G4FieldTrack.cc                                in G4FieldTrack.cc
                                                   
 August 11th,  2011 G.Cosmo - field-V09-04-01      August 11th,  2011 G.Cosmo - field-V09-04-01
 --------------------------                        --------------------------
 - Migrated to new G4Exception scheme for warn     - Migrated to new G4Exception scheme for warnings and errors.
 - Defined scheme for warnings/errors coding:      - Defined scheme for warnings/errors coding:
   + 1xxx for warnings, 0xxx for errors.             + 1xxx for warnings, 0xxx for errors.
   Code numbering:                                   Code numbering:
   + 0001: not supported or implemented featur       + 0001: not supported or implemented features;
   + 0002: invalid setup/construct;                  + 0002: invalid setup/construct;
   + 0003: invalid run condition;                    + 0003: invalid run condition;
   + 1001: incorrect setup; automatically adap       + 1001: incorrect setup; automatically adapted.
   + 1002: notification.                             + 1002: notification.
                                                   
 May 13th, 2011 J.Apostolakis                      May 13th, 2011 J.Apostolakis
 ----------------------------                      ----------------------------
 - Added new class G4TrialsCounter for keeping     - Added new class G4TrialsCounter for keeping statistics of trials.
 - Avoid printing out pointer in G4CachedMagne     - Avoid printing out pointer in G4CachedMagneticField::ReportStatistics().
 - Updated unit tests.                             - Updated unit tests.
                                                   
 May 12th,  2011 G.Cosmo - field-V09-04-00         May 12th,  2011 G.Cosmo - field-V09-04-00
 -----------------------                           -----------------------
 - Fixed compilation warnings from gcc-4.6.0 f     - Fixed compilation warnings from gcc-4.6.0 for variables set but not used.
                                                   
 May 5th,  2011 J.Apostolakis                      May 5th,  2011 J.Apostolakis
 ----------------------------                      ----------------------------
 - Reordered data members to group invariants,     - Reordered data members to group invariants, field parameters, etc...
                                                   
 Sep 10th,  2010 J.Apostolakis - field-V09-03-     Sep 10th,  2010 J.Apostolakis - field-V09-03-03
 -----------------------------                     -----------------------------
 - Revised constructor of G4MagErrorStepper to     - Revised constructor of G4MagErrorStepper to add number of State variables
 - Corrected MagErrorStepper to copy State Var     - Corrected MagErrorStepper to copy State Variable to output
 - Enable G4ConstRK4 to copy remaining State V     - Enable G4ConstRK4 to copy remaining State Variables (must integrate 6)
                                                   
 Sep 10th,  2010 J.Apostolakis - field-V09-03-     Sep 10th,  2010 J.Apostolakis - field-V09-03-02
 -----------------------------                     -----------------------------
 - New class G4MonopoleEq for rhs of d(pc)/ds      - New class G4MonopoleEq for rhs of d(pc)/ds propagation in field
   in SI units (V.Grichine).                         in SI units (V.Grichine).
 - Fixed passing of time in G4NystromRK4           - Fixed passing of time in G4NystromRK4
                                                   
 Jul 21st,  2010 T.Nikitina - field-V09-03-01      Jul 21st,  2010 T.Nikitina - field-V09-03-01
 --------------------------                        --------------------------
 - Fixed cases of memory corruption in G4RKG3_     - Fixed cases of memory corruption in G4RKG3_Stepper.
 - Fixed case of unused array data member in G     - Fixed case of unused array data member in G4ExactHelixStepper.
 - Removed useless code never executed in G4Co     - Removed useless code never executed in G4ConstRK4::Stepper().
 - Fixed initialization in G4NystromRK4 constr     - Fixed initialization in G4NystromRK4 constructor.
                                                   
 Jul 14th,  2010 G.Cosmo - field-V09-03-00         Jul 14th,  2010 G.Cosmo - field-V09-03-00
 -----------------------                           -----------------------
 - Added dummy initialization of members in co     - Added dummy initialization of members in constructors for G4CashKarpRKF45,
   G4ConstRK4, G4EqEMFieldWithEDM, G4EqEMField       G4ConstRK4, G4EqEMFieldWithEDM, G4EqEMFieldWithSpin, G4ExactHelixStepper,
   G4FieldTrack, G4MagHelicalStepper, G4MagInt       G4FieldTrack, G4MagHelicalStepper, G4MagInt_Driver, G4Mag_EqRhs,
   G4Mag_SpinEqRhs, G4Mag_UsualEqRhs, G4Nystro       G4Mag_SpinEqRhs, G4Mag_UsualEqRhs, G4NystromRK4, G4RKG3_Stepper,
   G4UniformElectricField, G4UniformElectricFi       G4UniformElectricField, G4UniformElectricField.
                                                   
 Nov 12th,  2009 J.Apostolakis - field-V09-02-     Nov 12th,  2009 J.Apostolakis - field-V09-02-09
 -----------------------------                     -----------------------------
 - G4MagIntegratorDriver:  activate check on i     - G4MagIntegratorDriver:  activate check on integration error for spin.
                                                   
 Nov 12th,  2009 J.Apostolakis - field-V09-02-     Nov 12th,  2009 J.Apostolakis - field-V09-02-08
 -----------------------------  (fix only)         -----------------------------  (fix only)
 - G4Nystrom:  Corrected interface method getF     - G4Nystrom:  Corrected interface method getField: array now has explicit dimension[4]
                 (Problem found by gcc 4.3 - i                     (Problem found by gcc 4.3 - it checked indices used in inline method! )
                                                   
 Nov 6th,  2009 P.Gumplinger - field-V09-02-07     Nov 6th,  2009 P.Gumplinger - field-V09-02-07
 ---------------------------                       ---------------------------
 - bug fix in G4EqEMFieldWithSpin and G4EqEMFi     - bug fix in G4EqEMFieldWithSpin and G4EqEMFieldWithEDM
   thanks to Hiromi Iinuma (KEK) see:                thanks to Hiromi Iinuma (KEK) see:
   http://hypernews.slac.stanford.edu/HyperNew       http://hypernews.slac.stanford.edu/HyperNews/geant4/get/emfields/161.html
                                                   
 Nov 5th,  2009 J.Apostolakis - field-V09-02-0     Nov 5th,  2009 J.Apostolakis - field-V09-02-06
 ----------------------------                      ----------------------------
 - G4MagIntegratorDriver.cc : Enabled call to      - G4MagIntegratorDriver.cc : Enabled call to ComputeRightHandSide
 - G4NystromRK4.cc          : Disabled auxilia     - G4NystromRK4.cc          : Disabled auxiliary code in Stepper (needed if
                               ComputeRightHan                                   ComputeRightHandSide is not called.)
                                                   
 Nov 5th,  2009 J.Apostolakis - field-V09-02-0     Nov 5th,  2009 J.Apostolakis - field-V09-02-05
 ----------------------------                      ----------------------------
 - Added new virtual method CalculateRightHand     - Added new virtual method CalculateRightHandSide to G4MagIntegratorStepper for use
       in caching momentum (and field value) b           in caching momentum (and field value) by G4NystromRK4
       Default implementation in G4MagIntegrat           Default implementation in G4MagIntegratorStepper calls RightHandSide inline method.
 - G4Nystrom:  New Set/Get method for cache di     - G4Nystrom:  New Set/Get method for cache distance.
               Changed private data members in                   Changed private data members in G4NystromRK4.
 - G4MagIntegratorDriver:  alternative call to     - G4MagIntegratorDriver:  alternative call to ComputeRightHandSide is not used (in comment)
               As a result G4NystromRK4 operat <<                As a result G4NystromRK4 operates without reusing 
                                                   
 Nov 5th,  2009 J.Apostolakis - field-V09-02-0     Nov 5th,  2009 J.Apostolakis - field-V09-02-04
 ----------------------------                      ----------------------------
 - G4CachedMagneticField: New Simple class to  <<  - G4CachedMagneticField: New Simple class to cache value of Magnetic Field. 
      Speeds up code when calculation of field          Speeds up code when calculation of field value is complex.
 - G4NystromRK4 :         New Stepper with Nys     - G4NystromRK4 :         New Stepper with Nystrom for magnetic field
      with analytic estimation of integration  <<       with analytic estimation of integration error.  
      Greatly reduces number of field value pe          Greatly reduces number of field value per step.
 - Revised testPropagateMagField to use Cached     - Revised testPropagateMagField to use Cached Quadrupole field,
      and to cover G4NystromRK4 and G4ConstRK4          and to cover G4NystromRK4 and G4ConstRK4.
                                                   
 Nov 4th,  2009 P.Gumplinger - field-V09-02-03     Nov 4th,  2009 P.Gumplinger - field-V09-02-03
 ---------------------------                       ---------------------------
 - (minor change) remove comment from G4EqEMFi     - (minor change) remove comment from G4EqEMFieldWithSpin.cc
   add G4EqEMFieldWithEDM class: this is the R       add G4EqEMFieldWithEDM class: this is the RHS of EofM in a combined
   electric and magnetic field, with spin trac       electric and magnetic field, with spin tracking for both MDM and EDM terms.
   Thanks to Kevin Lynch, Phys. Dept. at Bosto       Thanks to Kevin Lynch, Phys. Dept. at Boston University.
                                                   
 May 18th, 2009 T.Nikitina - field-V09-02-02       May 18th, 2009 T.Nikitina - field-V09-02-02
 -------------------------                         -------------------------
 - Enhanced algorithm G4ChordFinder::ApproxCur     - Enhanced algorithm G4ChordFinder::ApproxCurvePointS() in order to speedup
   BrentLocator.                                     BrentLocator.
                                                   
 March 25th, 2009 G.Cosmo - field-V09-02-01        March 25th, 2009 G.Cosmo - field-V09-02-01
 ------------------------                          ------------------------
 - Some code cleanup and formatting...             - Some code cleanup and formatting...
                                                   
 March 6th, 2009 P.Gumplinger - field-V09-02-0     March 6th, 2009 P.Gumplinger - field-V09-02-00
 ----------------------------                      ----------------------------
 - Added 3rd term of BMT equation (Spin x Beta     - Added 3rd term of BMT equation (Spin x Beta x Efield) to G4EqEMFieldWithSpin,
   addresses emfields forum posting #155 (bug        addresses emfields forum posting #155 (bug report). Thanks to Kevin Lynch,
   Phys. Dept. at Boston University.                 Phys. Dept. at Boston University.
 - Moved renormalization of spin from G4EqEMFi     - Moved renormalization of spin from G4EqEMFieldWithSpin and G4Mag_SpinEqRhs to
   G4ClassicalRK4 and G4SimpleHeum.                  G4ClassicalRK4 and G4SimpleHeum.
 - Added Spin propagation errors to the criter     - Added Spin propagation errors to the criteria for 'OneGoodStep' in
   G4MagIntegratorDriver but actually don't ad       G4MagIntegratorDriver but actually don't add it (yet) to the decision logic.
                                                   
 November, 19th, 2008  P.Gumplinger - field-V0     November, 19th, 2008  P.Gumplinger - field-V09-01-05
 ----------------------------------                ----------------------------------
 - Renormalized the spin to 1 in G4EqEMFieldWi     - Renormalized the spin to 1 in G4EqEMFieldWithSpin and G4Mag_SpinEqRhs.
                                                   
 November, 7th, 2008   P.Gumplinger - field-V0     November, 7th, 2008   P.Gumplinger - field-V09-01-04
 ----------------------------------                ----------------------------------
 - Added SetAnomaly() and GetAnomaly() accesso     - Added SetAnomaly() and GetAnomaly() accessors to G4EqEMFieldWithSpin.
                                                   
 October, 28th, 2008   T.Nikitina - field-V09-     October, 28th, 2008   T.Nikitina - field-V09-01-03
 --------------------------------                  --------------------------------
 - Added 'ApproxCurveV' to method G4ChordFinde <<  - Added 'ApproxCurveV' to method G4ChordFinder::ApproxCurvePointS() in 
   order to better calculate the curve length.       order to better calculate the curve length.
 - Some code cleanup.                              - Some code cleanup.
                                                   
 September, 18th, 2008   T.Nikitina                September, 18th, 2008   T.Nikitina
 ----------------------------------                ----------------------------------
 - Added new stepper class G4ConstRK4, perform     - Added new stepper class G4ConstRK4, performing integration of one step
   with error calculation in constant magnetic       with error calculation in constant magnetic field; implementation derived
   from G4ClassicalRK4.                              from G4ClassicalRK4.
                                                   
 July, 15th, 2008   J.Apostolakis - field-V09-     July, 15th, 2008   J.Apostolakis - field-V09-01-02
 --------------------------------                  --------------------------------
 - Revised signature of G4ChordFinder::FinderN     - Revised signature of G4ChordFinder::FinderNextChord(), making 'FieldTrack'
   argument passed a reference.                      argument passed a reference.
                                                   
 May, 28th, 2008   T.Nikitina                      May, 28th, 2008   T.Nikitina
 ----------------------------                      ----------------------------
 - G4ChordFinder: added new method ApproxCurve     - G4ChordFinder: added new method ApproxCurvePointS() using Brent second order
   location mechanism.                               location mechanism.
                                                   
 April 24th, 2008   T.Nikitina - field-V09-01-     April 24th, 2008   T.Nikitina - field-V09-01-01
 -----------------------------                     -----------------------------
 - Fix 'unused' non-initialized values of dydx     - Fix 'unused' non-initialized values of dydx in G4EqMagElectricField
   and G4EqEMFieldWithSpin.                          and G4EqEMFieldWithSpin.
                                                   
 January 17th, 2008   G.Cosmo - field-V09-01-0     January 17th, 2008   G.Cosmo - field-V09-01-00
 ----------------------------                      ----------------------------
 - G4CashKarpRKF45: deleted un-needed duplicat     - G4CashKarpRKF45: deleted un-needed duplicate (and unused) instance variable
  'fNumberOfVariables', already defined in G4M      'fNumberOfVariables', already defined in G4MagIntegratorStepper. (J.Ap.)
 - Some code cleanup.                              - Some code cleanup.
                                                   
 December 7th, 2007   J.Apostolakis & T.Nikiti     December 7th, 2007   J.Apostolakis & T.Nikitina - field-V09-00-03
 ---------------------------------------------     -----------------------------------------------
 - New class G4FieldManagerStore. It enables r     - New class G4FieldManagerStore. It enables resetting of all chord
   finders' state. Needed to address problem r       finders' state. Needed to address problem reported by user.
                                                   
 September 9th, 2007  G.Cosmo - field-V09-00-0     September 9th, 2007  G.Cosmo - field-V09-00-02a
 ----------------------------                      ----------------------------
 - Some code cleanup in G4MagHelicalStepper.cc     - Some code cleanup in G4MagHelicalStepper.cc.
                                                   
 August 30th, 2007    P.Gumplinger - field-V09     August 30th, 2007    P.Gumplinger - field-V09-00-02
 ---------------------------------                 ---------------------------------
 - Add G4EqEMFieldWithSpin class to allow trac     - Add G4EqEMFieldWithSpin class to allow tracking of spin also in
   G4ElectroMagneticFields                           G4ElectroMagneticFields
                                                   
 August 21st, 2007    T.Nikitina - field-V09-0     August 21st, 2007    T.Nikitina - field-V09-00-01
 -------------------------------                   -------------------------------
 - Fix to DistChord() method for Helical Stepp     - Fix to DistChord() method for Helical Steppers: adopt 'special' case
   also for Ang<2pi not only for Ang<pi; use c       also for Ang<2pi not only for Ang<pi; use cos() in place of tan(), to
   improve CPU performance.                          improve CPU performance.
 - Improved AdvanceHelix() to be able to make      - Improved AdvanceHelix() to be able to make half step and full step
   in one call.                                      in one call.
 - In G4HelixMixedStepper added possibility to     - In G4HelixMixedStepper added possibility to call different steppers for
   small steps and add some statistics how off       small steps and add some statistics how offen different steppers are called.
 - G4RKG3_Stepper: improved internal algorithm     - G4RKG3_Stepper: improved internal algorithm to use pre-computed values;
   the stepper now gives comparable CPU perfor <<    the stepper now gives comparable CPU performance as ClassicalRK4. 
 - Updated unit tests.                             - Updated unit tests.
                                                   
 August 17th, 2007    G.Cosmo - field-V09-00-0     August 17th, 2007    G.Cosmo - field-V09-00-00
 ----------------------------                      ----------------------------
 - Changed FatalException to EventMustBeAborte     - Changed FatalException to EventMustBeAborted in AccurateAdvance()
   if proposed integration step is negative.         if proposed integration step is negative.
                                                   
 June 8th, 2007    T.Nikitina - field-V08-03-0     June 8th, 2007    T.Nikitina - field-V08-03-03
 ----------------------------                      ----------------------------
 - Relaxed FatalException to Warning in G4MagI <<  - Relaxed FatalException to Warning in G4MagIntegratorDriver::AccurateAdvance() 
   for case of step zero and return previous v <<    for case of step zero and return previous value. This fixes problem 
   observed by ATLAS in release 8.3 when requi       observed by ATLAS in release 8.3 when requiring very accurate propagation
   -- ie using very small values for acceptabl       -- ie using very small values for acceptable integration error.
                                                   
 May 18th, 2007    T.Nikitina - field-V08-03-0     May 18th, 2007    T.Nikitina - field-V08-03-02
 ----------------------------                      ----------------------------
 - New class G4HelixMixedStepper, mixing helic     - New class G4HelixMixedStepper, mixing helical stepper and RK
   G4MagHelicalStepper                               G4MagHelicalStepper
 - Keep values of  inverse Radius, ..              - Keep values of  inverse Radius, ..
 - New calculation of DistChord for SteppingAn     - New calculation of DistChord for SteppingAngle > pi
   G4RKG3Stepper                                     G4RKG3Stepper
 - New calculation of DistChord for SteppingAn     - New calculation of DistChord for SteppingAngle > pi
                                                   
 May 16th, 2007    G.Cosmo - field-V08-03-01       May 16th, 2007    G.Cosmo - field-V08-03-01
 -------------------------                         -------------------------
 - Introduced new class G4ErrorMag_UsualEqRhs      - Introduced new class G4ErrorMag_UsualEqRhs used to reverse the magnetic
   field when propagation is backwards for err       field when propagation is backwards for error propagation (by P.Arce).
 - Coworks with tag "global-V08-03-02".            - Coworks with tag "global-V08-03-02".
                                                   
 May 11th, 2007    G.Cosmo - field-V08-03-00       May 11th, 2007    G.Cosmo - field-V08-03-00
 -------------------------                         -------------------------
 - Use call to G4GeometryTolerance instead of      - Use call to G4GeometryTolerance instead of kCarTolerance constant in
   G4MagIntegratorDriver.                            G4MagIntegratorDriver.
 - Requires tag "global-V08-03-00" and related     - Requires tag "global-V08-03-00" and related tag set.
                                                   
 May 10th, 2007    J.Apostolakis - field-V08-0     May 10th, 2007    J.Apostolakis - field-V08-02-01
 -------------------------------                   -------------------------------
 - G4MagIntegratorDriver:                      <<  - G4MagIntegratorDriver: 
     * added protections against zero initial          * added protections against zero initial or internal step h=0, (exceptions)
     * revised (re)calculation of h, and quit  <<      * revised (re)calculation of h, and quit loop if h/length < smallest-fraction (~ 10^-12) 
                                                   
 April 26th, 2007  T.Nikitina - field-V08-02-0     April 26th, 2007  T.Nikitina - field-V08-02-00
 ----------------------------                      ----------------------------
 - Corrected integration constants in G4MagHel     - Corrected integration constants in G4MagHelicalStepper
 - Added implementation of G4RKG3_Stepper, ste     - Added implementation of G4RKG3_Stepper, stepper derived from Geant3.
 - Updated NTST unit test. New unit test "fiel     - Updated NTST unit test. New unit test "field06" for comparison of steppers.
                                                   
 November 14th, 2006  J.Apostolakis - field-V0     November 14th, 2006  J.Apostolakis - field-V08-01-02
 ----------------------------------                ----------------------------------
 - G4MagIntegratorDriver                           - G4MagIntegratorDriver
   * Made first argument of GetDerivatives a r       * Made first argument of GetDerivatives a reference - avoid copy
 - G4MagIntegratorStepper                          - G4MagIntegratorStepper
   * Include the SetEquationOfMotion() method  <<    * Include the SetEquationOfMotion() method in G4MagIntegratorStepper 
     (for Geant4e, as in field-V08-01-00)              (for Geant4e, as in field-V08-01-00)
   * Update of disclaimers.                          * Update of disclaimers.
                                                   
 November 13th, 2006  G.Cosmo - field-V08-01-0     November 13th, 2006  G.Cosmo - field-V08-01-01
 ----------------------------                      ----------------------------
 - G4FieldTrack:                                   - G4FieldTrack:
   o Implemented missing definition for GetCha       o Implemented missing definition for GetCharge().
   o Corrected 'const' qualifier for accessors       o Corrected 'const' qualifier for accessors in the subclass.
   o Cleanup ...                                     o Cleanup ...
 - NOTE: this tag is NOT including the change      - NOTE: this tag is NOT including the change below in G4MagIntegratorStepper.
                                                   
 June 21st, 2006  J.Apostolakis - field-V08-01     June 21st, 2006  J.Apostolakis - field-V08-01-00
 ------------------------------                    ------------------------------
 - Including the SetEquationOfMotion() method      - Including the SetEquationOfMotion() method in G4MagIntegratorStepper
                                                   
 June 22nd, 2006  J.Apostolakis - field-V08-00     June 22nd, 2006  J.Apostolakis - field-V08-00-07
 -----------------------------                     -----------------------------
 - G4ExactHelixStepper: reintroduced corrected <<  - G4ExactHelixStepper: reintroduced corrected class 
     --> testPropagateMagField now tests it al         --> testPropagateMagField now tests it also (added)
 - G4MagHelicalStepper: made Stepper virtual ( <<  - G4MagHelicalStepper: made Stepper virtual (for now) 
              to enable G4ExactHelixStepper to                  to enable G4ExactHelixStepper to override it
                                                   
 June 21st, 2006  J.Apostolakis - field-V08-00     June 21st, 2006  J.Apostolakis - field-V08-00-06
 -----------------------------                     -----------------------------
 - G4ExactHelixStepper: taking out class       <<  - G4ExactHelixStepper: taking out class 
    (provisional tag in case of difficulties w        (provisional tag in case of difficulties with class, revisions)
                                                   
 --- The field-V08-00-0x , x > 6, tags do not      --- The field-V08-00-0x , x > 6, tags do not include the change below
                                                   
 May 27th, 2006  J.Apostolakis - field-V08-00-     May 27th, 2006  J.Apostolakis - field-V08-00-05
 -----------------------------                     -----------------------------
 - G4FieldTrack: Fix for simple compilation er     - G4FieldTrack: Fix for simple compilation error on Sun.
                                                   
 May 23rd, 2006  J.Apostolakis - field-V08-00-     May 23rd, 2006  J.Apostolakis - field-V08-00-04
 -----------------------------                     -----------------------------
 - G4FieldTrack: Fix for memory leak for Charg     - G4FieldTrack: Fix for memory leak for ChargeState
    Made G4ChargeState a data member (has an i        Made G4ChargeState a data member (has an instance)
                                                   
 May 18th, 2006  J.Apostolakis - field-V08-00-     May 18th, 2006  J.Apostolakis - field-V08-00-03
 -----------------------------                     -----------------------------
 - G4FieldTrack: Fix for issue with gcc 4.0  (     - G4FieldTrack: Fix for issue with gcc 4.0  (mac)
                                                   
 May 16th, 2006  J.Apostolakis - field-V08-00-     May 16th, 2006  J.Apostolakis - field-V08-00-02
 -----------------------------                     -----------------------------
 - G4ExactHelixStepper                             - G4ExactHelixStepper
    Taken out alpha version - it was included  <<     Taken out alpha version - it was included in error 
                                                   
 May 11th, 2006  J.Apostolakis - field-V08-00-     May 11th, 2006  J.Apostolakis - field-V08-00-01
 -----------------------------                     -----------------------------
 - G4FieldTrack                                    - G4FieldTrack
    Significant, provisional change:                  Significant, provisional change:
      * Added charge and moments to FieldTrack <<       * Added charge and moments to FieldTrack 
          (SetMethods,  and pointer to embedde              (SetMethods,  and pointer to embedded class G4ChargeState)
    Technical revisions:                              Technical revisions:
      * New constructor, with charge and witho          * New constructor, with charge and without velocity
      * New almost-default constructor (taking          * New almost-default constructor (taking a character)
    Also:                                      <<     Also: 
      * New constructor to take const referenc          * New constructor to take const reference to Spin
      * New implementation method UpdateFourMo          * New implementation method UpdateFourMomentum
      * Streaming operator takes const referen <<       * Streaming operator takes const reference, 
          and outputs momentum magnitude & dir              and outputs momentum magnitude & direction magn.
                                                   
 - G4ExactHelixStepper                             - G4ExactHelixStepper
    Included in error                          <<     Included in error 
                                                   
 Apr 6th, 2006  J.Apostolakis - field-V08-00-0     Apr 6th, 2006  J.Apostolakis - field-V08-00-00
 ----------------------------                      ----------------------------
 - In G4FieldManager                               - In G4FieldManager
  Added missing  const GetChordFinder() method <<   Added missing  const GetChordFinder() method -- Problem report #847 
  Corrected description (at top of include fil      Corrected description (at top of include file hh):
   - It is possible to set the field manager o       - It is possible to set the field manager of a logical volume (since long)
                                                   
                                                   
 Nov 9th, 2005  G.Cosmo - field-V07-01-00          Nov 9th, 2005  G.Cosmo - field-V07-01-00
 ----------------------                            ----------------------
 - Archived source code of field01 unit test,      - Archived source code of field01 unit test, now moved to examples/extended.
 - Migrated unit test NTST to use <sstream> an     - Migrated unit test NTST to use <sstream> and std:: namespace. Up-to-date
   with G4VParticleChange new interface.             with G4VParticleChange new interface.
                                                   
 Dec 2nd, 2004  G.Cosmo - field-V06-02-02          Dec 2nd, 2004  G.Cosmo - field-V06-02-02
 ----------------------                            ----------------------
 - Implemented migration to <cmath> for standa     - Implemented migration to <cmath> for standard mathematical functions.
                                                   
 Dec 2nd, 2004  J.Apostolakis - field-V06-02-0     Dec 2nd, 2004  J.Apostolakis - field-V06-02-01
 ----------------------------                      ----------------------------
 - Improvements to comments in key Field class     - Improvements to comments in key Field classes
 - Changes to test/NTST, renaming 'main()' fil     - Changes to test/NTST, renaming 'main()' file & modifying input files
 - Several improvements to test files              - Several improvements to test files
    testProElectroMagField.cc                         testProElectroMagField.cc
      * updating for new Electric Field inheri          * updating for new Electric Field inheritance (& need for
        different ChordFinder creation )                  different ChordFinder creation )
      * adding columns to print-outs in spin c          * adding columns to print-outs in spin case for better diagnosis
    testPropagateMagField.cc                          testPropagateMagField.cc
      * Added verbosity level 1 to field Propa          * Added verbosity level 1 to field Propagator, relabelled old method.
    testPropagateSpin.cc                              testPropagateSpin.cc
      * Added more printout of parameters (sta          * Added more printout of parameters (state) of G4PropagatorInField
        and G4FieldManager before running each            and G4FieldManager before running each test.
    test/NTST                                         test/NTST
      * Renamed main() file to testNTST.cc and          * Renamed main() file to testNTST.cc and added G4UItcsh terminal.
                                                   
                                                   
 Oct 20th, 2004  P.Gumplinger - field-V06-02-0     Oct 20th, 2004  P.Gumplinger - field-V06-02-00
 ----------------------------                      ----------------------------
 - Added Set/GetAnomaly() methods in G4Mag_Spi     - Added Set/GetAnomaly() methods in G4Mag_SpinEqRhs.
                                                   
 Feb 9th, 2004  G.Cosmo - field-V06-00-00          Feb 9th, 2004  G.Cosmo - field-V06-00-00
 ----------------------                            ----------------------
 - G4UniformMagField.cc: added missing impleme     - G4UniformMagField.cc: added missing implementation for
   GetConstantFieldValue(). Fixes bug report #       GetConstantFieldValue(). Fixes bug report #575.
                                                   
 Nov 13th, 2003  J.Apostolakis - field-V05-02-     Nov 13th, 2003  J.Apostolakis - field-V05-02-08
 -----------------------------                     -----------------------------
 - G4ChordFinder:                              <<  - G4ChordFinder:  
   o extended the arguments of AdvanceChordLim       o extended the arguments of AdvanceChordLimited  and  FindNextChord
     adding the current safety sphere (origin,         adding the current safety sphere (origin, radius), for use in optimising.
   o fixed set functions which had side effect       o fixed set functions which had side effect (on first fraction.)
 - Added new class G4ChordFinderSaf (using abo     - Added new class G4ChordFinderSaf (using above)
   o which uses safety to create longer chords <<    o which uses safety to create longer chords, so enabling 
       propagation in fewer steps --> performa           propagation in fewer steps --> performance optimisation
 - G4FieldManager:                             <<  - G4FieldManager: 
     Changed default accuracy parameters to mu         Changed default accuracy parameters to much better values:
         Epsilon Min Default  to 5.0e-5  from              Epsilon Min Default  to 5.0e-5  from 5.0e-7  (too small)
         Epsilon Max Default  to 0.001   from              Epsilon Max Default  to 0.001   from 0.05    (far too big)
                                                   
 Nov  7th, 2003  J.Apostolakis - field-V05-02-     Nov  7th, 2003  J.Apostolakis - field-V05-02-07
 -----------------------------                     -----------------------------
 - G4ChordFinder                               <<  - G4ChordFinder 
   o Made this a base class                          o Made this a base class
     * to enable specialised implementations           * to enable specialised implementations
     * virtual methods: FindNextChord, PrintSt         * virtual methods: FindNextChord, PrintStatistics)
     * new method AccumulateStatistics to aid          * new method AccumulateStatistics to aid in this
                                                   
   o New default value of                            o New default value of                                      Accuracy!!
       Delta Chord        to  0.25 mm    (from           Delta Chord        to  0.25 mm    (from 3.00 mm)     <-----
                                               <<                                                                   
 - G4FieldManager                                  - G4FieldManager
   o Changed default values of                       o Changed default values of
       Delta One Step     to  0.010 mm   (from           Delta One Step     to  0.010 mm   (from 0.25 mm)     <-----
       Delta Intersection to  0.001 mm   (from           Delta Intersection to  0.001 mm   (from 0.10 mm)     <-----
     for increased default accuracy                    for increased default accuracy
   o Use field's DoesFieldChangesEnergy method       o Use field's DoesFieldChangesEnergy method to set relevant member variable
                                                   
 Nov 7th, 2003  J.Apostolakis - field-V05-02-0     Nov 7th, 2003  J.Apostolakis - field-V05-02-06
 ----------------------------                      ----------------------------
 - G4ChordFinder                                   - G4ChordFinder
    Created new class members for parameters u        Created new class members for parameters used in heuristics:
        fFirstFraction            for first st            fFirstFraction            for first step
        fFractionLast             fraction of             fFractionLast             fraction of last step, if redoing
        fFractionNextEstimate     confidence i            fFractionNextEstimate     confidence in step est from chord
        fMultipleRadius           for small ra            fMultipleRadius           for small radii of curve
    New method to Print Statistics.                   New method to Print Statistics.
    Verbosity to enable optional printing of s        Verbosity to enable optional printing of stats in destructor.
                                                   
 Nov 7th, 2003  J.Apostolakis - field-V05-02-0     Nov 7th, 2003  J.Apostolakis - field-V05-02-05
 ----------------------------                      ----------------------------
 - G4ChordFinder                                   - G4ChordFinder
   o Added simple statistics (with access meth       o Added simple statistics (with access methods)
 - test/NTST                                       - test/NTST
   o Added new test, taken from D. Williams' e       o Added new test, taken from D. Williams' exampleNTST
      modified and maintained by J. Apostolaki <<       modified and maintained by J. Apostolakis 
                                                   
 Nov 5th, 2003  J.Apostolakis - field-V05-02-0     Nov 5th, 2003  J.Apostolakis - field-V05-02-04
 ----------------------------                      ----------------------------
 - G4FieldManager                                  - G4FieldManager
   o Added Get/Set Min/Max imumEpsilonStep           o Added Get/Set Min/Max imumEpsilonStep
   o Added fEpsilonMin fEpsilonMax & default t <<    o Added fEpsilonMin fEpsilonMax & default to member variables. 
    >> Now these can be tailored for different        >> Now these can be tailored for different parts of a detector or setup
                                                   
 - G4Field G4ElectroMagneticField G4MagneticFi     - G4Field G4ElectroMagneticField G4MagneticField
   o Adding the virtual method   DoesFieldChan       o Adding the virtual method   DoesFieldChangeEnergy()  [to be used later]
   o So that G4ElectroMagneticField derives fr       o So that G4ElectroMagneticField derives from G4Field
     and G4MagneticField derives from G4Electr         and G4MagneticField derives from G4ElectroMagneticField
                                                   
 - G4MagErrorStepper and derived classes           - G4MagErrorStepper and derived classes
     (G4ClassicalRK4 G4SimpleRunge G4ExplicitE         (G4ClassicalRK4 G4SimpleRunge G4ExplicitEuler G4ImplicitEuler G4SimpleHeum)
   o the constructors take G4EquationOfMotion        o the constructors take G4EquationOfMotion in place of a G4Mag_EqRhs
     as it these applicable to all types of eq <<      as it these applicable to all types of equations 
      (not just ones for Magnetic field)                (not just ones for Magnetic field)
                                                   
 - G4EqMagElectricField                            - G4EqMagElectricField
   o derives from G4EquationOfMotion                 o derives from G4EquationOfMotion
                                                   
 - G4ChordFinder                                   - G4ChordFinder
   o Moved simple constructor to .cc file (tog       o Moved simple constructor to .cc file (together with 'complex' one)
   o Changed fDefaultDeltaChord to a constant        o Changed fDefaultDeltaChord to a constant member variable (from class var.)
                                                   
 Nov 4th, 2003  G.Cosmo - field-V05-02-03          Nov 4th, 2003  G.Cosmo - field-V05-02-03
 ----------------------                            ----------------------
 Undocumented.                                     Undocumented.
                                                   
 Nov 4th, 2003  G.Cosmo - field-V05-02-02          Nov 4th, 2003  G.Cosmo - field-V05-02-02
 ----------------------                            ----------------------
 - G4ChordFinder.cc:                               - G4ChordFinder.cc:
   o Fixed compilation problem occuring when G       o Fixed compilation problem occuring when G4DEBUG_FIELD was set.
                                                   
 Oct 31st, 2003  G.Cosmo - field-V05-02-01         Oct 31st, 2003  G.Cosmo - field-V05-02-01
 -----------------------                           -----------------------
 - Code cleanup and removal of redundant heade     - Code cleanup and removal of redundant header includes, replaced
   where necessary by forward declarations.          where necessary by forward declarations.
                                                   
 Oct 24th, 2003  G.Cosmo - field-V05-02-00         Oct 24th, 2003  G.Cosmo - field-V05-02-00
 -----------------------                           -----------------------
 - Migrated to use new G4Exception scheme.         - Migrated to use new G4Exception scheme.
 - Updated outputs of unit tests.                  - Updated outputs of unit tests.
                                                   
 Jun 25th, 2003  J.Apostolakis - field-V05-01-     Jun 25th, 2003  J.Apostolakis - field-V05-01-06
 -----------------------------                     -----------------------------
 - Suppressed printing of statistics (by defau     - Suppressed printing of statistics (by default) in MagIntegrationDriver.
 - Fix for unused variables warning in ChordFi     - Fix for unused variables warning in ChordFinder.
                                                   
 Jun 24th, 2003  J.Apostolakis - field-V05-01-     Jun 24th, 2003  J.Apostolakis - field-V05-01-05
 -----------------------------                     -----------------------------
 - Fix for problems introduced in field-V05-01     - Fix for problems introduced in field-V05-01-03:
   o G4ChordFinder:                                  o G4ChordFinder:
     - Fixed unitialised variable for next ste         - Fixed unitialised variable for next step (now used for optimisation).
     - Protected assignment of 'fLastStepEstim         - Protected assignment of 'fLastStepEstimate_Unconstrained' in case of
       unitialised value.                                unitialised value.
                                                   
 Jun 21st, 2003  J.Apostolakis - field-V05-01-     Jun 21st, 2003  J.Apostolakis - field-V05-01-04
 -----------------------------                     -----------------------------
 - G4FieldManager:                                 - G4FieldManager:
   o Revised into 'slightly' abstract class wi       o Revised into 'slightly' abstract class with one (new) virtual method:
       ConfigureForTrack( const G4Track *)               ConfigureForTrack( const G4Track *)
     to enable the user to configure it with d         to enable the user to configure it with different accuracy parameters
     depending on energy, particle id, volume,         depending on energy, particle id, volume, or other track state.
     Currently by default, no such configurati         Currently by default, no such configuration action is undertaken.
                                                   
 Jun 21st, 2003  J.Apostolakis - field-V05-01-     Jun 21st, 2003  J.Apostolakis - field-V05-01-03
 -----------------------------                     -----------------------------
 - Revised G4ChordFinder:                          - Revised G4ChordFinder:
   * FindNextChord now provides next Step esti       * FindNextChord now provides next Step estimate (for accuracy in Integr.)
   * AdvanceChordLimited to use                      * AdvanceChordLimited to use
     - above extra argument to FindNextChord           - above extra argument to FindNextChord
     - the next Step argument as initial-step          - the next Step argument as initial-step suggested to Accurate Advance
 - G4MagIntegratorDriver:                          - G4MagIntegratorDriver:
   * Added extra argument to Accurate Advance:       * Added extra argument to Accurate Advance:
     hinitial: suggested initial step size             hinitial: suggested initial step size
 - Note:                                           - Note:
   * Purpose:  performance boost with small/li <<    * Purpose:  performance boost with small/limited changes, 
     including minor revisions of interfaces.          including minor revisions of interfaces.
                                                   
 Jun 20th, 2003  J.Apostolakis - field-V05-01-     Jun 20th, 2003  J.Apostolakis - field-V05-01-02
 -----------------------------                     -----------------------------
 - G4MagIntegratorDriver Quick Advance:            - G4MagIntegratorDriver Quick Advance:
   o Took out two unneccessary square roots an       o Took out two unneccessary square roots and two divisions.
 - Notes:                                          - Notes:
   1) Pure magnetic, electric, spin field test       1) Pure magnetic, electric, spin field test are completed.
   2) Purpose:  performance boost with small c       2) Purpose:  performance boost with small changes.
                                                   
 Jun 20th, 2003  J.Apostolakis - field-V05-01-     Jun 20th, 2003  J.Apostolakis - field-V05-01-01
 -----------------------------                     -----------------------------
 - G4MagIntegratorDriver:                          - G4MagIntegratorDriver:
   o Corrected neglected conversion to <std> f       o Corrected neglected conversion to <std> from "G4std".
 - Migrated unit tests to <std>.                   - Migrated unit tests to <std>.
                                                   
 Jun 19th, 2003  J.Apostolakis - field-V05-01-     Jun 19th, 2003  J.Apostolakis - field-V05-01-00
 -----------------------------                 <<  ----------------------------- 
 - G4ChordFinder:                                  - G4ChordFinder:
   o Corrected simple constructor to initialis       o Corrected simple constructor to initialise several member variables
     including LastStepEstimate_Unconstrained.         including LastStepEstimate_Unconstrained.
 - G4MagIntegratorDriver:                          - G4MagIntegratorDriver:
   o Keep simple statistics on number of steps       o Keep simple statistics on number of steps, total error and step size.
   o Took out an unneccessary square root (in        o Took out an unneccessary square root (in loop).
 - NOTE:    tests field0X are to be migrated.      - NOTE:    tests field0X are to be migrated.
   Purpose: fixes, small performance boost, si       Purpose: fixes, small performance boost, simple statistics.
                                                   
 Apr 2nd, 2003      G. Cosmo - field-V05-00-01     Apr 2nd, 2003      G. Cosmo - field-V05-00-01
 ---------------------------                       ---------------------------
 - Created .cc files for G4MagneticField and G     - Created .cc files for G4MagneticField and G4ElecroMagneticField.
 - Fixed definition of copy constructors in fi     - Fixed definition of copy constructors in fields inheritance chain.
 - Moved obsolete method StepWithEst() to priv     - Moved obsolete method StepWithEst() to private in G4RKG3_Stepper,
   G4CashKarpRKF45 and G4ClassicalRK4.               G4CashKarpRKF45 and G4ClassicalRK4.
 - Cleared strict pedantic warnings.               - Cleared strict pedantic warnings.
                                                   
 Feb 5th, 2003      G. Cosmo - field-V05-00-00     Feb 5th, 2003      G. Cosmo - field-V05-00-00
 ---------------------------                       ---------------------------
 - Removed redundant inclusions of PhysicalCon     - Removed redundant inclusions of PhysicalConstants.h or SystemOfUnits.h.
   Now using directly CLHEP's headers.               Now using directly CLHEP's headers.
                                                   
 Dec 12th, 2002     G. Cosmo - field-V04-01-06     Dec 12th, 2002     G. Cosmo - field-V04-01-06
 ---------------------------                       ---------------------------
 - Moved unused variable 'nStpPr' to debug sec     - Moved unused variable 'nStpPr' to debug section in G4MagIntegratorDriver.cc,
   method AccurateAdvance().                         method AccurateAdvance().
                                                   
 Dec 06th, 2002     G. Cosmo - field-V04-01-05     Dec 06th, 2002     G. Cosmo - field-V04-01-05
 ---------------------------                       ---------------------------
 - Merged changes by Makoto for migration to n     - Merged changes by Makoto for migration to new G4ApplicationState in
   messengers of unit tests.                         messengers of unit tests.
                                                   
 Nov 29th, 2002     J. Apostolakis - field-V04     Nov 29th, 2002     J. Apostolakis - field-V04-01-04
 ---------------------------------                 ---------------------------------
 Further fixes for unitialised variable - in o     Further fixes for unitialised variable - in other steppers:
 G4ExplicitEuler, G4ImplicitEuler, G4ImplicitE     G4ExplicitEuler, G4ImplicitEuler, G4ImplicitEuler
                                                   
 Large memory leak fix for G4ImplicitEuler, sm     Large memory leak fix for G4ImplicitEuler, small for ExplicitEuler.
 Test accuracy requirements for spin adjusted.     Test accuracy requirements for spin adjusted.
                                                   
 Nov 20th, 2002     J. Apostolakis - field-V04     Nov 20th, 2002     J. Apostolakis - field-V04-01-03
 ---------------------------------                 ---------------------------------
 Further fixes for unitialised variables:          Further fixes for unitialised variables:
                                                   
 * G4MagIntegratorStepper                          * G4MagIntegratorStepper
   -  Created instance variables for number of       -  Created instance variables for number of Integration, State variables
                                                   
 * G4MagErrorStepper                               * G4MagErrorStepper
   -  Utilise number of State variables to ini       -  Utilise number of State variables to initialise full state of Output.
                                                   
 * G4Mag_SpinEqRhs                                 * G4Mag_SpinEqRhs
   -  Initialise the values of dydx that we do       -  Initialise the values of dydx that we do not update.
                                                   
 Note: Undoing these changes and the ones belo <<  Note: Undoing these changes and the ones below would enable the user to see 
         if undefined values are used in varia <<          if undefined values are used in variables that he/she expects to 
         have integrated.                                  have integrated.
       BUT the fix assists us to find truly un           BUT the fix assists us to find truly undefined values elsewhere
         -- if they exist -- using valgrind.               -- if they exist -- using valgrind.
                                                   
 Nov  9th, 2002     J. Apostolakis - field-V04     Nov  9th, 2002     J. Apostolakis - field-V04-01-02
 ---------------------------------                 ---------------------------------
 Fixes to address use of uninitialised variabl     Fixes to address use of uninitialised variable in seting values of FieldTrack
 (this was done by design, but was neither ide     (this was done by design, but was neither ideal or always well-behaved.)
 Changed:                                          Changed:
                                                   
 * G4MagIntegratorDriver                           * G4MagIntegratorDriver
   - Added instance variables for number of In       - Added instance variables for number of Integration, State variables
   - Initialise all State variables of Output        - Initialise all State variables of Output with values from initial variables.
   - Only the Integration variables will be in       - Only the Integration variables will be integrated
                                                   
 * G4ClassicalRK4 and G4MagErrorStepper            * G4ClassicalRK4 and G4MagErrorStepper
   - Copy the initial time to intermediate and <<    - Copy the initial time to intermediate and output C-vectors, 
      in order to provide a zero-eth estimate           in order to provide a zero-eth estimate value.
   Note1: Should clean-up this fix, making it        Note1: Should clean-up this fix, making it similar to Driver (above)
   Note2: Should *not* be used for time varyin <<    Note2: Should *not* be used for time varying field unless created 
            with at least 8 integration variab                with at least 8 integration variables
 ---------------------------------             <<  ---------------------------------  
 G4ChordFinder.cc                                  G4ChordFinder.cc
   - Correction from zero dChord                     - Correction from zero dChord
       which is does not update the Unconstrai           which is does not update the Unconstrained step estimate (state)
   - Added instance variables to store number        - Added instance variables to store number of calls and chord-trials
       and new print method for 'debugging'              and new print method for 'debugging'
                                                   
 G4Mag_UsualEqRhs.cc                               G4Mag_UsualEqRhs.cc
   - Attempted approximations for speedup  *ov       - Attempted approximations for speedup  *overwritten* by full inverse sqrt.
                                                   
                                                   
 Oct  29th, 2002   J. Apostolakis - test-V04-0     Oct  29th, 2002   J. Apostolakis - test-V04-01-02
 --------------------------------                  --------------------------------
 - Changed output of tests for small output ch     - Changed output of tests for small output change (GeV->MeV)
                                                   
 Oct  29th, 2002   J. Apostolakis - test-V04-0     Oct  29th, 2002   J. Apostolakis - test-V04-01-02
 --------------------------------                  --------------------------------
 - (Only changed and tagged test subdirectory)     - (Only changed and tagged test subdirectory)
   Changed tests to use the new method SetChar <<    Changed tests to use the new method SetChargeMomentumMass of 
   PropagatorInField in order to be ready for  <<    PropagatorInField in order to be ready for its full use in 
   G4PropagatorInField.                              G4PropagatorInField.
   (A key problem at end-July was this non-pre       (A key problem at end-July was this non-preparedness of the unit tests.)
                                                   
 Jul  24th, 2002   G. Cosmo - field-V04-01-01      Jul  24th, 2002   G. Cosmo - field-V04-01-01
 --------------------------                        --------------------------
 - G4FieldManager[.hh.cc]: made fDefault_Delta     - G4FieldManager[.hh.cc]: made fDefault_Delta_One_Step_Value and
   fDefault_Delta_Intersection_Val normal cons       fDefault_Delta_Intersection_Val normal constants (not static) to
   resolve initialisation problems. Coworks wi       resolve initialisation problems. Coworks with tag "geomvol-V04-01-01".
   Fixes problem report #383.                        Fixes problem report #383.
                                                   
 Jul  23rd, 2002   G. Cosmo - field-V04-01-00      Jul  23rd, 2002   G. Cosmo - field-V04-01-00
 --------------------------                        --------------------------
 - G4MagIntegratorDriver.cc: cleared warning o     - G4MagIntegratorDriver.cc: cleared warning of unused variable.
   Protected variable 'nStpPr' with G4DEBUG_FI       Protected variable 'nStpPr' with G4DEBUG_FIELD.
 - Updated reference outputs and some other up     - Updated reference outputs and some other updates to unit tests.
                                                   
 Jun  25th, 2002   J. Apostolakis - field-V04-     Jun  25th, 2002   J. Apostolakis - field-V04-00-05
 --------------------------------                  --------------------------------
 - G4ChordFinder.cc                                - G4ChordFinder.cc
   In NewStep:  fixed case of stepTrial >> ste       In NewStep:  fixed case of stepTrial >> stepTrialOld, to take large multiple - not small;
        (it was treated the same as stepTrial             (it was treated the same as stepTrial << old)
   Added guard for stepTrial==0.0 in FindNextC       Added guard for stepTrial==0.0 in FindNextChord
 - G4MagIntegratorDriver.cc                        - G4MagIntegratorDriver.cc
   Added protection against error of 0.0 in Co       Added protection against error of 0.0 in ComputeNewStepSize.
                                                   
 - G4EquationOfMotion                              - G4EquationOfMotion
   Made RightHandSide an inline method         <<    Made RightHandSide an inline method 
   In GetFieldValue signature of Point is doub       In GetFieldValue signature of Point is double[4], instead of double[3]
   Defined G4maximum_number_of_field_component       Defined G4maximum_number_of_field_components as enum
                                                   
 Jun   7th, 2002   J. Apostolakis - field-V04-     Jun   7th, 2002   J. Apostolakis - field-V04-00-04
 --------------------------------                  --------------------------------
  - G4Mag_SpinEqRhs.cc                              - G4Mag_SpinEqRhs.cc
     o Fix to momentum component of Rhs.               o Fix to momentum component of Rhs.
                                                   
 May  31st, 2002   J. Apostolakis - field-V04-     May  31st, 2002   J. Apostolakis - field-V04-00-03
 --------------------------------                  --------------------------------
  - G4MagHelicalStepper.icc                         - G4MagHelicalStepper.icc
     o Fix to LinearStep (correcting previous          o Fix to LinearStep (correcting previous fix/cosmetic)
  - G4ChordFinder.cc                                - G4ChordFinder.cc
     o Corrective behaviour for very small or          o Corrective behaviour for very small or large changes of 'new step'
        [observed in complex 3-d fields (purgi            [observed in complex 3-d fields (purging magnet),  or
                     approximate equations of                          approximate equations of motion ]
  - G4MagIntegratorDriver                           - G4MagIntegratorDriver
     o More information in debug printing (tan         o More information in debug printing (tangent cosine, norm)
                                                   
 May   7th, 2002   J. Apostolakis                  May   7th, 2002   J. Apostolakis
 --------------------------------                  --------------------------------
 - G4MagIntegratorDriver  -  ( on trunk )          - G4MagIntegratorDriver  -  ( on trunk )
   * Fix to update the field track for steps s <<    * Fix to update the field track for steps smaller than the chord finder's 
 minstep.                                      <<  minstep. 
                                                   
                                                   
 April 19th, 2002  J. Apostolakis   (not inclu     April 19th, 2002  J. Apostolakis   (not included in tag field-V04-00-02)
 --------------------------------                  --------------------------------
 - G4MagIntegratorDriver.hh,cc     (on trunk)      - G4MagIntegratorDriver.hh,cc     (on trunk)
   * Bug fix:  last step can now only be trigg       * Bug fix:  last step can now only be triggerred if x+h > x2.
   * Debugging methods improved.                     * Debugging methods improved.
                                                   
 May   7th, 2002   J. Apostolakis - field-V04-     May   7th, 2002   J. Apostolakis - field-V04-00-02
 --------------------------------                  --------------------------------
  Tag including only two changes below:             Tag including only two changes below:
   - Putting aside the other fixes/changes (as <<    - Putting aside the other fixes/changes (as the one above) to 
 G4MagIntegratorDriver, tagging only the fix t <<  G4MagIntegratorDriver, tagging only the fix to update the field track 
 for steps smaller than the chord finder's min     for steps smaller than the chord finder's minstep.
                                                   
 May   7th, 2002   J. Apostolakis                  May   7th, 2002   J. Apostolakis
 --------------------------------                  --------------------------------
 - G4MagIntegratorDriver  -  **  branch ** on      - G4MagIntegratorDriver  -  **  branch ** on 1.20 **
   * Fix to update the field track for steps s <<    * Fix to update the field track for steps smaller than the chord finder's 
 minstep.                                      <<  minstep. 
                                                   
 May   7th, 2002   J. Apostolakis                  May   7th, 2002   J. Apostolakis
 --------------------------------                  --------------------------------
 - G4MagIntegratorStepper                          - G4MagIntegratorStepper
   * Changed RightHandSide from a virtual meth <<    * Changed RightHandSide from a virtual method to an inline (non-virtual) 
       method -- it is not and should not be c           method -- it is not and should not be changed by derived classes.
                                                   
 Mar 28th, 2002  J. Apostolakis - field-V04-00     Mar 28th, 2002  J. Apostolakis - field-V04-00-01
 -----------------------                           -----------------------
 - Fixed LinearStep in G4MagHelicalStepper (ex <<  - Fixed LinearStep in G4MagHelicalStepper (expected unit direction), 
     that had not been updated for new integra         that had not been updated for new integration variable (momentum).
     --> found in testing helical steppers in  <<      --> found in testing helical steppers in BaBar setup, 
          in region of negligible field.                    in region of negligible field.
                                                   
 - Changed maximum number of steps in driver,  <<  - Changed maximum number of steps in driver, 
     halving from 500/order to 250/order.              halving from 500/order to 250/order.
                                                   
 Mar 28th, 2002  J. Apostolakis                    Mar 28th, 2002  J. Apostolakis
 -----------------------                           -----------------------
 - Committed directory "OtherField" with examp     - Committed directory "OtherField" with examples of fields,
     Delphi, Quadropole etc.                           Delphi, Quadropole etc.
                                                   
 - Updated outputs of testPropagateMagField fo     - Updated outputs of testPropagateMagField for new version of source,
     that has 3rd test case.                           that has 3rd test case.
                                                   
 - Added new runs and outputs for testProElect <<  - Added new runs and outputs for testProElectroMagField, with 
     several steppers, and modified test scrip         several steppers, and modified test script test.sh accordingly.
                                                   
                                                   
 Feb  2nd, 2002   V. Grichine                      Feb  2nd, 2002   V. Grichine
 ------------------------                          ------------------------
 Update of test/field02 to utilise new feature <<  Update of test/field02 to utilise new features 
   - for Electric Field, to signal that a fiel       - for Electric Field, to signal that a field modifies the energy;
   - updating of time by integration, for time       - updating of time by integration, for time dependent fields.
                                                   
 Jan 10th, 2002  G. Cosmo - field-V04-00-00        Jan 10th, 2002  G. Cosmo - field-V04-00-00
 ------------------------                          ------------------------
 - Activated G4DEBUG_FIELD in GNUmakefile.         - Activated G4DEBUG_FIELD in GNUmakefile.
                                                   
 Jan 7th, 2002  J. Apostolakis                     Jan 7th, 2002  J. Apostolakis
 -----------------------------                     -----------------------------
 - G4MagHelicalStepper.cc: renamed local varia     - G4MagHelicalStepper.cc: renamed local variables "*Momentum*" to "*Velocity*".
                                                   
 Dec 4th, 2001  G. Cosmo - field-V03-02-08         Dec 4th, 2001  G. Cosmo - field-V03-02-08
 -----------------------                           -----------------------
 - Fixed interface to virtual functions in the     - Fixed interface to virtual functions in the inheritance chain.
   Added 'virtual' qualifier to destructor and       Added 'virtual' qualifier to destructor and GetFieldValue() for subclasses
   of G4Field which may act as base class for        of G4Field which may act as base class for user-defined fields.
   Modified files: G4MagneticField.hh, G4Unifo       Modified files: G4MagneticField.hh, G4UniformElectricField[.hh.cc],
                   G4UniformMagField.hh.                             G4UniformMagField.hh.
 - G4ChordFinder.cc: the unphysical curve leng     - G4ChordFinder.cc: the unphysical curve length exception has been moved to
   inside #ifdef G4DEBUG_FIELD. Other #ifdef r       inside #ifdef G4DEBUG_FIELD. Other #ifdef renamed to G4DEBUG_FIELD.
 - G4LineSection[.hh.cc]: correction for A=B w     - G4LineSection[.hh.cc]: correction for A=B when the distance from P to A
   is returned (V.Grichine).                         is returned (V.Grichine).
                                                   
 Nov 28th, 2001  J. Apostolakis - field-V03-02     Nov 28th, 2001  J. Apostolakis - field-V03-02-07
 ------------------------------                    ------------------------------
 G4FieldManager                                    G4FieldManager
 - Added fFieldChangesEnergy data member and g     - Added fFieldChangesEnergy data member and get/set methods
  ( required to allow transportation to know h      ( required to allow transportation to know how to calculate end-time,
    enabling the integration of time only for         enabling the integration of time only for electric fields. )
                                                   
 Nov 28th, 2001  J. Apostolakis - field-V03-02     Nov 28th, 2001  J. Apostolakis - field-V03-02-06
 ------------------------------                    ------------------------------
 Small fixes only:                                 Small fixes only:
                                                   
 G4CashKarpRKF45                                   G4CashKarpRKF45
 - fixed deletion of unassigned pointer/array      - fixed deletion of unassigned pointer/array in destructor. (-> Volodya Velev)
                                                   
 G4EqMagElectricField                              G4EqMagElectricField
 - bug fixed in the formula for inverse veloci     - bug fixed in the formula for inverse velocity             (-> V. Grichine)
                                                   
 Nov 21st, 2001  G. Cosmo - field-V03-02-05        Nov 21st, 2001  G. Cosmo - field-V03-02-05
 ------------------------                          ------------------------
 - Protected verbose warnings with G4FIELD_DEB     - Protected verbose warnings with G4FIELD_DEBUG flag in G4ChordFinder.cc
   (V.Grichine).                                     (V.Grichine).
 - Replaced G4DEBUG with G4DEBUG_FIELD in G4Ma     - Replaced G4DEBUG with G4DEBUG_FIELD in G4MagIntegratorDriver.cc.
 - Updates to unit test field02.                   - Updates to unit test field02.
                                                   
 Nov 13th, 2001  G. Cosmo - field-V03-02-04        Nov 13th, 2001  G. Cosmo - field-V03-02-04
 ------------------------                          ------------------------
 - Removed warnings on gcc-2.95.2.                 - Removed warnings on gcc-2.95.2.
 - Included unit tests field01, field02, field     - Included unit tests field01, field02, field03.
                                                   
 Nov 9th, 2001  J. Apostolakis - field-V03-02-     Nov 9th, 2001  J. Apostolakis - field-V03-02-03
 -----------------------------                     -----------------------------
 Motivated by the use case of an Electric Fiel     Motivated by the use case of an Electric Field,
  - in order to achieve reasonable accuracy in      - in order to achieve reasonable accuracy in time integration,
  - and to enable fields that vary with the gl      - and to enable fields that vary with the global time)
 we (John Ap. and V. Grichine) changed the fol     we (John Ap. and V. Grichine) changed the following:
                                                   
 - Modified G4Field to allow the time in the G <<  - Modified G4Field to allow the time in the GetFieldValue method 
      - as 4th component of the "position" arr          - as 4th component of the "position" array.
                                                   
 - Modified EquationOfMotion to provide the ti     - Modified EquationOfMotion to provide the time to the GetFieldValue method
    of G4Field                                        of G4Field
       * as the 4th component of a position /            * as the 4th component of a position / time  4-array
       * in place of only position as a 3-arry           * in place of only position as a 3-arry
                                                   
 - Added the global time as variable to be int <<  - Added the global time as variable to be integrated over in the 
    case of an Electric Field                         case of an Electric Field
                                                   
 Support for these modifications is required i     Support for these modifications is required in G4Transportation.
                                                   
 (Better support will require either               (Better support will require either
  - a modification in G4FieldTrack to indicate      - a modification in G4FieldTrack to indicate whether the time has been
     integrated or not.                        <<      integrated or not.  
  - or additionally making the time calculatio      - or additionally making the time calculation a property of G4FieldTrack,
     bring in code to do it in from G4Transpor         bring in code to do it in from G4Transportation.)
                                                   
                                                   
 Nov  8th, 2001  J. Apostolakis - field-V03-02     Nov  8th, 2001  J. Apostolakis - field-V03-02-02
 ------------------------                          ------------------------
 - Introduced several changes in G4MagIntegrat     - Introduced several changes in G4MagIntegratorDriver.
                                                   
    It now respects its minimum driver step si        It now respects its minimum driver step size in AccurateAdvance.
      * whereas before it did not.                      * whereas before it did not.
                                                   
    Modified maximum number of steps, lowering        Modified maximum number of steps, lowering by factor of 10.
      -> it should reduce the time spent integ          -> it should reduce the time spent integrating low energy particles,
    in some cases where it is unneccessary.           in some cases where it is unneccessary.
                                                   
    Protected printing of (nearly?) all warnin        Protected printing of (nearly?) all warnings with a G4DEBUG_FIELD  #ifdef.
                                                   
                                                   
 Nov 05th, 2001  G. Cosmo - field-V03-02-01        Nov 05th, 2001  G. Cosmo - field-V03-02-01
 ------------------------                          ------------------------
 - Fixed trivial warnings on Linux-g++.            - Fixed trivial warnings on Linux-g++.
                                                   
 Aug 27th, 2001  J. Apostolakis - field-V03-02     Aug 27th, 2001  J. Apostolakis - field-V03-02-00
 ------------------------------                    ------------------------------
 Tagged last change.                               Tagged last change.
 This tag is utilised in transport-V03-02-01 (     This tag is utilised in transport-V03-02-01 (which requires it).
                                                   
 Aug 16th, 2001  J. Apostolakis                    Aug 16th, 2001  J. Apostolakis
 ------------------------------                    ------------------------------
 G4ChordFinder:                                    G4ChordFinder:
  Added method to erase/reset the state of the      Added method to erase/reset the state of the StepEstimate.
  This is unwanted internal state that was car      This is unwanted internal state that was carried between tracks and
      events as a side effect.                          events as a side effect.
                                                   
  Calling this at the start of each track, it       Calling this at the start of each track, it is now possible to
  eliminate a non-repeatability that was possi      eliminate a non-repeatability that was possible due to this.
     ( It has been observed in particular in v         ( It has been observed in particular in vaccuum. )
                                                   
 May 23rd, 2001  J. Apostolakis - field-V03-01     May 23rd, 2001  J. Apostolakis - field-V03-01-02
 ------------------------------                    ------------------------------
 - Added Exception to G4RKG3Stepper constructo     - Added Exception to G4RKG3Stepper constructor: the class does not work
                                                   
 May 23rd, 2001  J. Apostolakis - field-V03-01     May 23rd, 2001  J. Apostolakis - field-V03-01-01
 ------------------------------                    ------------------------------
 - Fixed G4FieldManager constructors to give d     - Fixed G4FieldManager constructors to give default values to delta
   parameters.                                       parameters.
                                                   
 - Updated testPropagateSpin (it now compiles) <<  - Updated testPropagateSpin (it now compiles), 
    and some outputs of testPropagateMagField         and some outputs of testPropagateMagField (1 to 5)
                                                   
                                                   
 Apr 12th, 2001  P. Gumplinger - field-V03-01-     Apr 12th, 2001  P. Gumplinger - field-V03-01-00
 -----------------------------                     -----------------------------
 - Updated G4Mag_SpinEqRhs.hh and G4Mag_SpinEq     - Updated G4Mag_SpinEqRhs.hh and G4Mag_SpinEqRhs.cc for correction
   to spin tracking.                                 to spin tracking.
                                                   
 Apr 04th, 2001  G. Cosmo - field-V03-00-05        Apr 04th, 2001  G. Cosmo - field-V03-00-05
 ------------------------                          ------------------------
 - G4FieldTrack.icc: fixed pedantic warnings o     - G4FieldTrack.icc: fixed pedantic warnings on Linux-g++.
                                                   
 Mar 23rd, 2001  J. Apostolakis - field-V03-00     Mar 23rd, 2001  J. Apostolakis - field-V03-00-04
 ------------------------------                    ------------------------------
 - Electric Field unit test now works: test ru     - Electric Field unit test now works: test runs until completion.
    Test outputs saved (on Linux).                    Test outputs saved (on Linux).
                                                   
 - Fixed src/G4UniformElectricField.cc to set      - Fixed src/G4UniformElectricField.cc to set correct field components
                                       (compat                                           (compatible with Equation of Motion
                                        G4EqMa                                            G4EqMagElectricField )
                                                   
 - Tidied G4FieldTrack                             - Tidied G4FieldTrack
    * deleted obsolete methods Set/Get Momentu        * deleted obsolete methods Set/Get MomentumModulus() and its data member.
    * in constructor to set the value of the s <<     * in constructor to set the value of the spin to (0.0, 0.0, 0.0) 
           if pSpin is null.  (It was undefine               if pSpin is null.  (It was undefined.)
                                                   
 Mar 23rd, 2001  J. Apostolakis - field-V03-00     Mar 23rd, 2001  J. Apostolakis - field-V03-00-03
 ------------------------------                    ------------------------------
 - Fixed (hacked) CashKarp to work using Auxil <<  - Fixed (hacked) CashKarp to work using Auxiliary Stepper.   
                                                   
 - Modified G4MagIntegratorStepper             <<  - Modified G4MagIntegratorStepper 
      to use pointer to G4EquationOfMotion              to use pointer to G4EquationOfMotion
             instead of G4Mag_EqRhs                            instead of G4Mag_EqRhs
                                                   
 - Design iteration appears neccessary             - Design iteration appears neccessary
                                                   
 Mar 23rd, 2001  J. Apostolakis - field-V03-00     Mar 23rd, 2001  J. Apostolakis - field-V03-00-02
 ------------------------------                    ------------------------------
 - Fixed G4MagHelicalStepper::AdvanceHelix for     - Fixed G4MagHelicalStepper::AdvanceHelix for momentum, allowing
     the possibility of (correct) use of all H <<      the possibility of (correct) use of all Helical Steppers. 
                                                   
 - test/testProElectroMagField.cc updated for      - test/testProElectroMagField.cc updated for momentum.
     (Not yet updated: Spin tests)                     (Not yet updated: Spin tests)
                                                   
                                                   
 Mar 19th, 2001  J. Apostolakis - field-V03-00     Mar 19th, 2001  J. Apostolakis - field-V03-00-01
 ------------------------------                    ------------------------------
 - Tagging the modification of several classes     - Tagging the modification of several classes to integrate in momentum*c_light
     instead of velocity.                      <<      instead of velocity.  
   Reason for change:  Velocity integration ca       Reason for change:  Velocity integration can result in superluminar
     velocities,  due to arithmetic inaccuraci         velocities,  due to arithmetic inaccuracies.
   Classes modified:                           <<    Classes modified: 
     G4FieldTrack,   (Changed components 3,4,5         G4FieldTrack,   (Changed components 3,4,5 of SixVector to Momentum,
     G4Mag_EqRhs, G4Mag_UsualEqRhs, G4EqMagEle         G4Mag_EqRhs, G4Mag_UsualEqRhs, G4EqMagElectricField
                                                   
 Feb 20th, 2001  J. Apostolakis                <<  Feb 20th, 2001  J. Apostolakis 
                                                   
 - Modified several classes to integrate in mo     - Modified several classes to integrate in momentum instead of velocity.
                                                   
  G4FieldTrack:                                     G4FieldTrack:
      Changed components 3,4,5 of SixVector to          Changed components 3,4,5 of SixVector to Momentum,
      Modified constructor                              Modified constructor
      Added energy calculation to "LoadFromArr          Added energy calculation to "LoadFromArray" method
      GetEnergy method is now implemented.     <<       GetEnergy method is now implemented. 
      Deleted obsolete (old) method names for           Deleted obsolete (old) method names for Curve and Position. New have "Get"
                                                   
  G4ChordFinder                                     G4ChordFinder
      Renamed old-method names of Field Track  <<       Renamed old-method names of Field Track to new ones. 
                                                   
 Jan 29th, 2001  G. Cosmo - field-V03-00-00        Jan 29th, 2001  G. Cosmo - field-V03-00-00
 -------------------------                         -------------------------
                                                   
 - Minor fix to G4MagneticField.hh: added expl     - Minor fix to G4MagneticField.hh: added explicit call to G4Field() in
   copy constructor. Fixes report #205.              copy constructor. Fixes report #205.
                                                   
 Nov 20th, 2000  G. Cosmo - field-V02-00-02        Nov 20th, 2000  G. Cosmo - field-V02-00-02
                                                   
 - Fixes to remove warnings from "-Wall -ansi      - Fixes to remove warnings from "-Wall -ansi -pedantic" g++ compiler options:
   o commented out variables declared and not        o commented out variables declared and not used.
   o fixed declaration of variables used befor       o fixed declaration of variables used before being initialised.
   o fixed order of initialisation of member d       o fixed order of initialisation of member data in constructors.
   o fixed usage of unsigned-int (size_t) for        o fixed usage of unsigned-int (size_t) for array indeces.
                                                   
 Nov 9th, 2000  G. Cosmo - field-V02-00-01         Nov 9th, 2000  G. Cosmo - field-V02-00-01
                                                   
 - G4FieldManager: added check on existence of     - G4FieldManager: added check on existence of allocated fChordFinder
   in CreateChordFinder(G4MagneticField*) meth       in CreateChordFinder(G4MagneticField*) method.
                                                   
 Nov 1st, 2000  G. Cosmo - field-V02-00-00         Nov 1st, 2000  G. Cosmo - field-V02-00-00
                                                   
 - QA code revision and cleanup (+fixes from C     - QA code revision and cleanup (+fixes from CodeWizard filtering):
   o Added (private) declarations of copy cons       o Added (private) declarations of copy constructor and assignment operator
     where needed.                                     where needed.
   o Added "const" qualifier to accessor metho       o Added "const" qualifier to accessor methods, wherever needed.
   o Added equality check on operator= where n       o Added equality check on operator= where needed.
   o Made destructor "virtual" for classes hav       o Made destructor "virtual" for classes having virtual methods,
     wherever missing.                                 wherever missing.
   o Changed virtual functions to non-inline w       o Changed virtual functions to non-inline wherever's the case.
   o Changed return value to be "const" pointe       o Changed return value to be "const" pointer to functions:
     - G4EquationOfMotion::GetFieldObj()               - G4EquationOfMotion::GetFieldObj()
     - G4FieldManager::GetDetectorField()              - G4FieldManager::GetDetectorField()
     - G4MagIntegratorDriver::GetStepper()             - G4MagIntegratorDriver::GetStepper()
   o Fixed and corrected signature to G4MagInt       o Fixed and corrected signature to G4MagIntegratorDriver::SetHmin().
   o Added "inline" qualifier to methods' decl       o Added "inline" qualifier to methods' declarations.
   o General cosmetics                               o General cosmetics
                                                   
 Jun 2nd, 2000  J. Apostolakis                     Jun 2nd, 2000  J. Apostolakis
 - G4FieldManager[.hh.icc]                         - G4FieldManager[.hh.icc]
   o Added DeltaIntersection and DeltaOneStep        o Added DeltaIntersection and DeltaOneStep to FieldManager: added
     Get/Set methods and SetAccuraciesWithDelt         Get/Set methods and SetAccuraciesWithDeltaOneStep().
                                                   
 May 31st, 2000  J. Apostolakis - field-V01-01     May 31st, 2000  J. Apostolakis - field-V01-01-03
                                                   
 include/G4FieldManager.hh,icc                     include/G4FieldManager.hh,icc
   o Moved Delta Intersection and Delta One St       o Moved Delta Intersection and Delta One Step to FieldManager
      (from Propagator in Field),  to allow th          (from Propagator in Field),  to allow them to differ over the detector.
                                                   
 May 11th, 2000  J. Apostolakis - field-V01-01     May 11th, 2000  J. Apostolakis - field-V01-01-02
                                                   
 - G4ChordFinder[.hh.cc]                           - G4ChordFinder[.hh.cc]
   o Modified method for finding new trial ste       o Modified method for finding new trial step.
     New method assumes a quadratic relationsh         New method assumes a quadratic relationship between step-length and d_chord:
             d_chord  proportional  to  step-l                 d_chord  proportional  to  step-lenght ^ 2
   o Added two small refinement in order to av       o Added two small refinement in order to avoid unneccesary extra step due to
     small numerical inaccuracies in estimatio         small numerical inaccuracies in estimation:
       FindNextChord                                     FindNextChord
           to first step       use  (1-0.001)                to first step       use  (1-0.001) * last-step-estimate
       New Step:                                         New Step:
           to subsequent step  use    trial_st               to subsequent step  use    trial_step = 0.98 * estimate
                                                   
 May 10th, 2000  G. Cosmo                          May 10th, 2000  G. Cosmo
                                                   
 - G4MagneticField.hh: minor fix to dummy impl     - G4MagneticField.hh: minor fix to dummy implementation of assignment
   operator.                                         operator.
                                                   
 May    9th, 2000   J. Apostolakis - field-V01     May    9th, 2000   J. Apostolakis - field-V01-01-01
                                                   
 - G4MagErrorStepper:                          <<  - G4MagErrorStepper: 
     Modified DistChord to check whether the c         Modified DistChord to check whether the chord endpoint are the same point.
                                                   
 - G4RKG3_Stepper:                                 - G4RKG3_Stepper:
     Deleted error message from StepNoErr, as          Deleted error message from StepNoErr, as it is used in Stepper.
                                                   
 - G4MagIntegratorDriver:                          - G4MagIntegratorDriver:
     Changed the condition for the debug outpu         Changed the condition for the debug output  (~cosmetic)
                                                   
                                                   
 April 27th, 2000   G. Cosmo                       April 27th, 2000   G. Cosmo
                                                   
 - Reorganised comments for the Software Refer     - Reorganised comments for the Software Reference Manual.
 - Moved inlined definition to .icc files, whe     - Moved inlined definition to .icc files, where needed.
   Created: G4ChordFinder.icc and G4FieldManag       Created: G4ChordFinder.icc and G4FieldManager.icc.
                                                   
 April 13th, 2000   J. Apostolakis - field-V01     April 13th, 2000   J. Apostolakis - field-V01-01-00
                                                   
 - Modified signature to function DumbStepper(     - Modified signature to function DumbStepper() in classes:
   G4HelixExplicitEuler, G4HelixHeum, G4HelixI       G4HelixExplicitEuler, G4HelixHeum, G4HelixImplicitEuler,
   G4HelixSimpleRunge and G4MagHelicalStepper.       G4HelixSimpleRunge and G4MagHelicalStepper.
 - Modified signature and implementation of fu     - Modified signature and implementation of function MagFieldEvaluate()
   in G4MagHelicalStepper, to use Field (as Th       in G4MagHelicalStepper, to use Field (as ThreeVector) in place of dydx.
 - Made Richardson extrapolation optional (it      - Made Richardson extrapolation optional (it is unclear if
   it offers benefit) in G4MagHelicalStepper.        it offers benefit) in G4MagHelicalStepper.
 - Updated unit test testPropagateMagField and     - Updated unit test testPropagateMagField and reference output.
 - G4LineSection: fixes to prevent divisions b     - G4LineSection: fixes to prevent divisions by 0. and sqrt(<0)
   (V.Grichine).                                     (V.Grichine).
                                                   
 January  19th, 2000   G. Cosmo - field-V01-00     January  19th, 2000   G. Cosmo - field-V01-00-00
                                                   
 Syncronized versioning of files with HEAD aft     Syncronized versioning of files with HEAD after ISO-C++ migration
 (essentially CVS header changes).                 (essentially CVS header changes).
                                                   
 December  7th, 1999   J. Apostolakis - field-     December  7th, 1999   J. Apostolakis - field-V00-01-01a
                                                   
 For negative or very small curve lengths (h)      For negative or very small curve lengths (h) we suppress writing an error
 (about the distance of endpoints being furthe     (about the distance of endpoints being further than the curve length),
 as it is meaningless.                             as it is meaningless.
                                                   
 November 23rd, 1999   J. Apostolakis - field-     November 23rd, 1999   J. Apostolakis - field-V00-01-01
                                                   
 Tagged this sub-category's state in geometry-     Tagged this sub-category's state in geometry-V00-01-01
                                                   
                                                   
 July      6th, 1999   J. Apostolakis - field-     July      6th, 1999   J. Apostolakis - field-01-00-07
                                                   
 These fixes and those in field-01-00-06 and f     These fixes and those in field-01-00-06 and field-01-00-06a all come
 from the need to cope with the imprecision of     from the need to cope with the imprecision of the integration, and its
 interaction with paths that are rather straig <<  interaction with paths that are rather straight. 
                                                   
 G4MagIntegrationDriver:                       <<  G4MagIntegrationDriver: 
  i) AccurateAdvance now that the chord distan      i) AccurateAdvance now that the chord distance is smaller than the curve len-
 gth (times 1+epsilon).                            gth (times 1+epsilon).
                                                   
 ii) OneGoodStep and QuickAdvance considers th     ii) OneGoodStep and QuickAdvance considers the error of the velocity as well as
 the error of the position - and ensure that b     the error of the position - and ensure that both relative errors are within
 the "eps" maximum given.                          the "eps" maximum given.
                                                   
 G4ChordFinder:                                    G4ChordFinder:
   Having found that the curve_length vs ABdis       Having found that the curve_length vs ABdist disrepancy has its basis in
 the imprecision of the integration:               the imprecision of the integration:
   i) Modified the exception in this case to h       i) Modified the exception in this case to happen only for very large
    relative disrepancies ( 10 * eps ).               relative disrepancies ( 10 * eps ).
  ii) Undertaken a default corrective action i      ii) Undertaken a default corrective action in all other cases
 Note that this disrepancy only happens for ve     Note that this disrepancy only happens for very straight sections of track -
 ie step lengths much smaller than the curvatu     ie step lengths much smaller than the curvature of the track.
                                                   
 July      1st, 1999   J. Apostolakis - field-     July      1st, 1999   J. Apostolakis - field-01-00-06a
                                                   
 In order to cope with the anomalous condition     In order to cope with the anomalous condition created by candidate fix
 in G4PropagatorInField,  we ensure that the f     in G4PropagatorInField,  we ensure that the fraction_AE is always between
 0 and 1.0.  (giving it a default value of 0.5     0 and 1.0.  (giving it a default value of 0.5 whenever it is wrong).
 ( in G4ChordFinder::ApproxCurvePointV )           ( in G4ChordFinder::ApproxCurvePointV )
                                                   
 June     29th, 1999   J. Apostolakis - field-     June     29th, 1999   J. Apostolakis - field-01-00-06
                                                   
   I re-instated a check on whether the input        I re-instated a check on whether the input distance along the curve between
 the two input curve points is truly greater t     the two input curve points is truly greater than their linear distance.
 ( in G4ChordFinder::ApproxCurvePointV )           ( in G4ChordFinder::ApproxCurvePointV )
                                                   
 The condition that prints out a warning messa     The condition that prints out a warning message has been altered to
 take into account the case of a very small fi <<  take into account the case of a very small final interval. 
 ( in G4MagInt_Driver::AccurateAdvance )           ( in G4MagInt_Driver::AccurateAdvance )
                                                   
 June     ??th, 1999   J. Apostolakis - field-     June     ??th, 1999   J. Apostolakis - field-01-00-05
                                                   
 The condition that prints out a warning messa <<  The condition that prints out a warning message was changed to delete 
 an incorrect comparison.                      <<  an incorrect comparison. 
 ( in G4MagInt_Driver::AccurateAdvance )           ( in G4MagInt_Driver::AccurateAdvance )
                                                   
 April    19th, 1999   J. Apostolakis - field-     April    19th, 1999   J. Apostolakis - field-01-00-04
                                                   
 G4MagErrorStepper: Cosmetic changes to name o     G4MagErrorStepper: Cosmetic changes to name of data members
                                                   
 March     4th, 1999   J. Apostolakis - field-     March     4th, 1999   J. Apostolakis - field-01-00-03
                                                   
 Corrected delete statement of arrays to use '     Corrected delete statement of arrays to use 'delete[]' instead of simple delete
 in destructors of 2 steppers (G4CashKarpRKF45     in destructors of 2 steppers (G4CashKarpRKF45, G4SimpleHeum)
                                                   
 February 17th, 1999   J. Apostolakis -  field     February 17th, 1999   J. Apostolakis -  field-01-00-02
                                                   
  Moved G4PropagatorInField files to geometry/ <<   Moved G4PropagatorInField files to geometry/volumes. 
  Updated GNUmakefile not to depend on geometr      Updated GNUmakefile not to depend on geometry/volumes anymore.
    -> the known circular dependency is remove        -> the known circular dependency is removed
                                                   
                                                   
 February 12th, 1999   J. Apostolakis -  field     February 12th, 1999   J. Apostolakis -  field-spin1-works1     (act Feb17)
                                                   
   A tag that contains the first version that        A tag that contains the first version that worked with spin (in Peter G.'s
 directory).   G4PropagateInSpin is still in t     directory).   G4PropagateInSpin is still in this version.  A small change
 in a branch of the header file was needed.    <<  in a branch of the header file was needed. 
                                                   
                                                   
 February 10th, 1999   J. Apostolakis          <<  February 10th, 1999   J. Apostolakis 
                                                   
 All the following changes are needed for ener     All the following changes are needed for energy integration also:
                                                   
 G4ChordFinder now passes to the constructed d     G4ChordFinder now passes to the constructed driver the number of variables.
 Because of the need for the stepper to know a     Because of the need for the stepper to know about it in its Abstract interface
                                                   
 -> Moved theNumberOfVariables  from derived c     -> Moved theNumberOfVariables  from derived class G4MagErrorStepper
                                to base class                                     to base class G4MagIntegratorStepper
                                                   
 As a consequense the classes that derived fro     As a consequense the classes that derived from G4MagIntegratorStepper directly
 were changed: G4CashKarpRKF45, G4MagHelicalSt <<  were changed: G4CashKarpRKF45, G4MagHelicalStepper, 
                                                   
                                                   
 February  9th, 1999    J. Apostolakis             February  9th, 1999    J. Apostolakis
                                                   
 Equation of Motion:                               Equation of Motion:
 G4MagEqRhs.hh  Made SetChargeMomentumMass vir     G4MagEqRhs.hh  Made SetChargeMomentumMass virtual, so that G4Mag_SpinEqRhs
                  can initialise its constants <<                   can initialise its constants too. 
                                                   
                                                   
 February  9th, 1999   P. Gumplinger               February  9th, 1999   P. Gumplinger
                                                   
 Added Equation of Motion for Spin in Magnetic     Added Equation of Motion for Spin in Magnetic Field.
                                                   
                                                   
 February 17th, 1999   J. Apostolakis  -  fiel     February 17th, 1999   J. Apostolakis  -  field-01-00-01
   --->  date is correct, made sure that tag d       --->  date is correct, made sure that tag does not include above fixes!
                                               <<    
  Moved G4PropagatorInField files to geometry/ <<   Moved G4PropagatorInField files to geometry/volumes. 
  Updated GNUmakefile not to depend on geometr      Updated GNUmakefile not to depend on geometry/volumes anymore.
    -> the known circular dependency is remove        -> the known circular dependency is removed
                                                   
                                                   
 ---------------------------------------------     ---------------------------------------------------------------------------
     ------    Geant 4  Production Release   -         ------    Geant 4  Production Release   ------------
 ---------------------------------------------     --------------------------------------------------------------------------
 Nov   19th, 1998   J. Apostolakis  -  field-0     Nov   19th, 1998   J. Apostolakis  -  field-00-04-01head ===> R+D version only
                                                   
  G4PropagatorInField files modified:               G4PropagatorInField files modified:
                                                   
    - to store the last safety computed and it        - to store the last safety computed and its origin.
    - to give them to a requester                     - to give them to a requester
 ---------------------------------------------     ------------------------------------------------------------------
                                                   
 Nov   19th, 1998   J. Apostolakis  -  field-0     Nov   19th, 1998   J. Apostolakis  -  field-00-03-03b
                                                   
  Subtle fix to interface of G4UniformMagField <<   Subtle fix to interface of G4UniformMagField::GetFieldValue  
          ( that tripped Visual C++ )                       ( that tripped Visual C++ )
                                                   
  G4PropagatorInField:  added printing method       G4PropagatorInField:  added printing method for verboseness.
                                                   
 Nov   19th, 1998   J. Apostolakis  -  field-0     Nov   19th, 1998   J. Apostolakis  -  field-00-03-03a
                                                   
    Steppers:  Fixed instance variables constr        Steppers:  Fixed instance variables construction (SimpleRunge)
               and clash of names in CashKarp:                   and clash of names in CashKarp::StepWithEstimate
                                                   
    Added post-const to all Field classes for         Added post-const to all Field classes for
            void GetFieldValue(const G4double                 void GetFieldValue(const G4double yTrack[] ,
                                  G4double B[]                                      G4double B[]      ) const ;
                                                   
    Added SetFieldValue methods to UniformMagF        Added SetFieldValue methods to UniformMagField
                                                   
    Added GetConstantFieldValue() methods to U        Added GetConstantFieldValue() methods to Uniform Mag & Electric Fields
                                                   
                                                   
 Nov   19th, 1998   J. Apostolakis  -  field-0     Nov   19th, 1998   J. Apostolakis  -  field-00-03-03
                                                   
    Fixes to Propagate and Steppers                   Fixes to Propagate and Steppers
                                                   
 Nov   19th, 1998   J. Apostolakis  -  field-0     Nov   19th, 1998   J. Apostolakis  -  field-00-03-02
                                                   
    Minor corrections  (???)                          Minor corrections  (???)
                                                   
 Nov   19th, 1998   J. Apostolakis  -  field-0     Nov   19th, 1998   J. Apostolakis  -  field-00-03-02
                                               <<   
    Major development to allow Electric Field         Major development to allow Electric Field
                                               <<     
                                                   
                                                   
 June  17th, 1998   J. Apostolakis  -  magfiel     June  17th, 1998   J. Apostolakis  -  magfield-06-03
                                                   
  Modified Files:                                   Modified Files:
         include/G4PropagatorInField.hh                    include/G4PropagatorInField.hh
             src/G4PropagatorInField.cc                        src/G4PropagatorInField.cc
            test/testPropagateInField.cc                      test/testPropagateInField.cc
 ---------------------------------------------     ----------------------------------------------------------------------
                                                   
  1)  Added an assertion after each call to Lo <<   1)  Added an assertion after each call to LocateGlobalPointAndSetup. 
      It checks that the located volume is equ          It checks that the located volume is equal to the current volume.
      If this check fails, the Propagator does          If this check fails, the Propagator does not know how to continue.
                                                   
  2)  Added an argument  to ComputeStep method      2)  Added an argument  to ComputeStep method of G4PropagatorInField.
   The new volume argument is used to check th       The new volume argument is used to check the current volume during the step.
                                                   
  3)  When G4Navigator's ComputeStep returned       3)  When G4Navigator's ComputeStep returned  stepLength==stepRequested,  this
 used to be treated as a failure to intersect.     used to be treated as a failure to intersect.  This is incorrect.
                                                   
     stepLength==stepRequested is an intersect         stepLength==stepRequested is an intersection,
       so I am now treating it as such in each           so I am now treating it as such in each comparison (of 3).
       Ignoring it causes problems, including            Ignoring it causes problems, including volume being skipped.
       --> but treating it as an intersection            --> but treating it as an intersection used to cause problems too ??
                                                   
                                                   
 May    7th, 1998    J. Apostolakis  -  magfie     May    7th, 1998    J. Apostolakis  -  magfield-06-02-helix01
                                                   
 - Tag includes new version of G4ChordFinder (     - Tag includes new version of G4ChordFinder (not used by W.Wander).
                                                   
                                                   
 May    7th, 1998    W. Wander     (recorded/c     May    7th, 1998    W. Wander     (recorded/commited by  J. Apostolakis)
                                                   
 - New "helical" RK steppers that move in heli     - New "helical" RK steppers that move in helical segments, not linear.
     * Several changes to add steppers         <<      * Several changes to add steppers 
                                                   
  Modified Files:                                   Modified Files:
         G4MagErrorStepper.hh                  <<          G4MagErrorStepper.hh 
         G4MagErrorStepper.cc                  <<          G4MagErrorStepper.cc 
            added Helical stepping methods to                 added Helical stepping methods to this general ABC.
                                               <<          
         G4MagIntegratorStepper.hh                         G4MagIntegratorStepper.hh
            made RightHandSide virtual   (this                made RightHandSide virtual   (this will be reversed very soon)
                                                   
         testPropagateMagField.cc                          testPropagateMagField.cc
            Test of Helical stepping functiona                Test of Helical stepping functionality added.
                                               <<             
  Added Files for new Helical RK steppers, der      Added Files for new Helical RK steppers, deriving from G4MagErrorStepper:
         G4HelixExplicitEuler.cc  ( and .hh )              G4HelixExplicitEuler.cc  ( and .hh )
         G4HelixHeum.cc                                    G4HelixHeum.cc
         G4HelixImplicitEuler.cc                           G4HelixImplicitEuler.cc
         G4HelixSimpleRunge.cc                 <<          G4HelixSimpleRunge.cc  
                                                   
  Added File for implementation:                    Added File for implementation:
         G4MagErrorStepper.icc                             G4MagErrorStepper.icc
                                                   
                                                   
 May    7th, 1998    J. Apostolakis   -  magfi     May    7th, 1998    J. Apostolakis   -  magfield-06-01
                                                   
 - added small changes to                      <<  - added small changes to 
     * G4ChordFinder:           methods to get         * G4ChordFinder:           methods to get/set IntegratorDriver
     * G4MagIntegratorDriver:   made OneGoodSt         * G4MagIntegratorDriver:   made OneGoodStep method public
 - created the file.                               - created the file.
                                                   >>