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G4AnalyticalPolSolver.hh
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27 // $Id: G4AnalyticalPolSolver.hh 67970 2013-03-13 10:10:06Z gcosmo $
28 //
29 // Class description:
30 //
31 // G4AnalyticalPolSolver allows the user to solve analytically a polynomial
32 // equation up to the 4th order. This is used by CSG solid tracking functions
33 // like G4Torus.
34 //
35 // The algorithm has been adapted from the CACM Algorithm 326:
36 //
37 // Roots of low order polynomials
38 // Author: Terence R.F.Nonweiler
39 // CACM (Apr 1968) p269
40 // Translated into C and programmed by M.Dow
41 // ANUSF, Australian National University, Canberra, Australia
42 // m.dow@anu.edu.au
43 //
44 // Suite of procedures for finding the (complex) roots of the quadratic,
45 // cubic or quartic polynomials by explicit algebraic methods.
46 // Each Returns:
47 //
48 // x=r[1][k] + i r[2][k] k=1,...,n, where n={2,3,4}
49 //
50 // as roots of:
51 // sum_{k=0:n} p[k] x^(n-k) = 0
52 // Assumes p[0] != 0. (< or > 0) (overflows otherwise)
53 
54 // --------------------------- HISTORY --------------------------------------
55 //
56 // 13.05.05 V.Grichine ( Vladimir.Grichine@cern.ch )
57 // First implementation in C++
58 
59 #ifndef G4AN_POL_SOLVER_HH
60 #define G4AN_POL_SOLVER_HH
61 
62 #include "G4Types.hh"
63 
65 {
66  public: // with description
67 
70 
71  G4int QuadRoots( G4double p[5], G4double r[3][5]);
72  G4int CubicRoots( G4double p[5], G4double r[3][5]);
73  G4int BiquadRoots( G4double p[5], G4double r[3][5]);
74  G4int QuarticRoots( G4double p[5], G4double r[3][5]);
75 };
76 
77 #endif
const char * p
Definition: xmltok.h:285
G4int QuadRoots(G4double p[5], G4double r[3][5])
int G4int
Definition: G4Types.hh:78
G4int QuarticRoots(G4double p[5], G4double r[3][5])
double G4double
Definition: G4Types.hh:76
G4int BiquadRoots(G4double p[5], G4double r[3][5])
G4int CubicRoots(G4double p[5], G4double r[3][5])