1 | // |
---|
2 | // ******************************************************************** |
---|
3 | // * License and Disclaimer * |
---|
4 | // * * |
---|
5 | // * The Geant4 software is copyright of the Copyright Holders of * |
---|
6 | // * the Geant4 Collaboration. It is provided under the terms and * |
---|
7 | // * conditions of the Geant4 Software License, included in the file * |
---|
8 | // * LICENSE and available at http://cern.ch/geant4/license . These * |
---|
9 | // * include a list of copyright holders. * |
---|
10 | // * * |
---|
11 | // * Neither the authors of this software system, nor their employing * |
---|
12 | // * institutes,nor the agencies providing financial support for this * |
---|
13 | // * work make any representation or warranty, express or implied, * |
---|
14 | // * regarding this software system or assume any liability for its * |
---|
15 | // * use. Please see the license in the file LICENSE and URL above * |
---|
16 | // * for the full disclaimer and the limitation of liability. * |
---|
17 | // * * |
---|
18 | // * This code implementation is the result of the scientific and * |
---|
19 | // * technical work of the GEANT4 collaboration. * |
---|
20 | // * By using, copying, modifying or distributing the software (or * |
---|
21 | // * any work based on the software) you agree to acknowledge its * |
---|
22 | // * use in resulting scientific publications, and indicate your * |
---|
23 | // * acceptance of all terms of the Geant4 Software license. * |
---|
24 | // ******************************************************************** |
---|
25 | // |
---|
26 | // |
---|
27 | // $Id: G4AnalyticalPolSolver.hh,v 1.5 2006/06/29 18:59:23 gunter Exp $ |
---|
28 | // GEANT4 tag $Name: geant4-09-03 $ |
---|
29 | // |
---|
30 | // Class description: |
---|
31 | // |
---|
32 | // G4AnalyticalPolSolver allows the user to solve analytically a polynomial |
---|
33 | // equation up to the 4th order. This is used by CSG solid tracking functions |
---|
34 | // like G4Torus. |
---|
35 | // |
---|
36 | // The algorithm has been adapted from the CACM Algorithm 326: |
---|
37 | // |
---|
38 | // Roots of low order polynomials |
---|
39 | // Author: Terence R.F.Nonweiler |
---|
40 | // CACM (Apr 1968) p269 |
---|
41 | // Translated into C and programmed by M.Dow |
---|
42 | // ANUSF, Australian National University, Canberra, Australia |
---|
43 | // m.dow@anu.edu.au |
---|
44 | // |
---|
45 | // Suite of procedures for finding the (complex) roots of the quadratic, |
---|
46 | // cubic or quartic polynomials by explicit algebraic methods. |
---|
47 | // Each Returns: |
---|
48 | // |
---|
49 | // x=r[1][k] + i r[2][k] k=1,...,n, where n={2,3,4} |
---|
50 | // |
---|
51 | // as roots of: |
---|
52 | // sum_{k=0:n} p[k] x^(n-k) = 0 |
---|
53 | // Assumes p[0] != 0. (< or > 0) (overflows otherwise) |
---|
54 | |
---|
55 | // --------------------------- HISTORY -------------------------------------- |
---|
56 | // |
---|
57 | // 13.05.05 V.Grichine ( Vladimir.Grichine@cern.ch ) |
---|
58 | // First implementation in C++ |
---|
59 | |
---|
60 | #ifndef G4AN_POL_SOLVER_HH |
---|
61 | #define G4AN_POL_SOLVER_HH |
---|
62 | |
---|
63 | #include "G4Types.hh" |
---|
64 | |
---|
65 | class G4AnalyticalPolSolver |
---|
66 | { |
---|
67 | public: // with description |
---|
68 | |
---|
69 | G4AnalyticalPolSolver(); |
---|
70 | ~G4AnalyticalPolSolver(); |
---|
71 | |
---|
72 | G4int QuadRoots( G4double p[5], G4double r[3][5]); |
---|
73 | G4int CubicRoots( G4double p[5], G4double r[3][5]); |
---|
74 | G4int BiquadRoots( G4double p[5], G4double r[3][5]); |
---|
75 | G4int QuarticRoots( G4double p[5], G4double r[3][5]); |
---|
76 | }; |
---|
77 | |
---|
78 | #endif |
---|