| 1 | //
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| 2 | // ********************************************************************
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| 3 | // * License and Disclaimer *
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| 4 | // * *
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| 5 | // * The Geant4 software is copyright of the Copyright Holders of *
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| 6 | // * the Geant4 Collaboration. It is provided under the terms and *
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| 7 | // * conditions of the Geant4 Software License, included in the file *
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| 8 | // * LICENSE and available at http://cern.ch/geant4/license . These *
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| 9 | // * include a list of copyright holders. *
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| 10 | // * *
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| 11 | // * Neither the authors of this software system, nor their employing *
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| 12 | // * institutes,nor the agencies providing financial support for this *
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| 13 | // * work make any representation or warranty, express or implied, *
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| 14 | // * regarding this software system or assume any liability for its *
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| 15 | // * use. Please see the license in the file LICENSE and URL above *
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| 16 | // * for the full disclaimer and the limitation of liability. *
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| 17 | // * *
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| 18 | // * This code implementation is the result of the scientific and *
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| 19 | // * technical work of the GEANT4 collaboration. *
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| 20 | // * By using, copying, modifying or distributing the software (or *
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| 21 | // * any work based on the software) you agree to acknowledge its *
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| 22 | // * use in resulting scientific publications, and indicate your *
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| 23 | // * acceptance of all terms of the Geant4 Software license. *
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| 24 | // ********************************************************************
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| 25 | //
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| 26 | //
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| 27 | // $Id: G4AnalyticalPolSolver.hh,v 1.5 2006/06/29 18:59:23 gunter Exp $
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| 28 | // GEANT4 tag $Name: geant4-09-04-beta-01 $
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| 29 | //
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| 30 | // Class description:
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| 31 | //
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| 32 | // G4AnalyticalPolSolver allows the user to solve analytically a polynomial
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| 33 | // equation up to the 4th order. This is used by CSG solid tracking functions
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| 34 | // like G4Torus.
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| 35 | //
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| 36 | // The algorithm has been adapted from the CACM Algorithm 326:
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| 37 | //
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| 38 | // Roots of low order polynomials
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| 39 | // Author: Terence R.F.Nonweiler
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| 40 | // CACM (Apr 1968) p269
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| 41 | // Translated into C and programmed by M.Dow
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| 42 | // ANUSF, Australian National University, Canberra, Australia
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| 43 | // m.dow@anu.edu.au
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| 44 | //
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| 45 | // Suite of procedures for finding the (complex) roots of the quadratic,
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| 46 | // cubic or quartic polynomials by explicit algebraic methods.
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| 47 | // Each Returns:
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| 48 | //
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| 49 | // x=r[1][k] + i r[2][k] k=1,...,n, where n={2,3,4}
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| 50 | //
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| 51 | // as roots of:
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| 52 | // sum_{k=0:n} p[k] x^(n-k) = 0
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| 53 | // Assumes p[0] != 0. (< or > 0) (overflows otherwise)
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| 54 |
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| 55 | // --------------------------- HISTORY --------------------------------------
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| 56 | //
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| 57 | // 13.05.05 V.Grichine ( Vladimir.Grichine@cern.ch )
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| 58 | // First implementation in C++
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| 59 |
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| 60 | #ifndef G4AN_POL_SOLVER_HH
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| 61 | #define G4AN_POL_SOLVER_HH
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| 62 |
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| 63 | #include "G4Types.hh"
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| 64 |
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| 65 | class G4AnalyticalPolSolver
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| 66 | {
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| 67 | public: // with description
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| 68 |
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| 69 | G4AnalyticalPolSolver();
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| 70 | ~G4AnalyticalPolSolver();
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| 71 |
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| 72 | G4int QuadRoots( G4double p[5], G4double r[3][5]);
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| 73 | G4int CubicRoots( G4double p[5], G4double r[3][5]);
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| 74 | G4int BiquadRoots( G4double p[5], G4double r[3][5]);
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| 75 | G4int QuarticRoots( G4double p[5], G4double r[3][5]);
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| 76 | };
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| 77 |
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| 78 | #endif
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