Geant4 Cross Reference

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Geant4/global/HEPNumerics/include/G4AnalyticalPolSolver.hh

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  1 //
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 25 //
 26 // G4AnalyticalPolSolver
 27 //
 28 // Class description:
 29 //
 30 // G4AnalyticalPolSolver allows the user to solve analytically a polynomial
 31 // equation up to the 4th order. This is used by CSG solid tracking functions
 32 // like G4Torus.
 33 //
 34 // The algorithm has been adapted from the CACM Algorithm 326:
 35 //
 36 //   Roots of low order polynomials
 37 //   Author: Terence R.F.Nonweiler
 38 //   CACM  (Apr 1968) p269
 39 //   Translated into C and programmed by M.Dow
 40 //   ANUSF, Australian National University, Canberra, Australia
 41 //   m.dow@anu.edu.au
 42 //
 43 // Suite of procedures for finding the (complex) roots of the quadratic,
 44 // cubic or quartic polynomials by explicit algebraic methods.
 45 // Each Returns:
 46 //
 47 //   x=r[1][k] + i r[2][k]  k=1,...,n, where n={2,3,4}
 48 //
 49 // as roots of:
 50 // sum_{k=0:n} p[k] x^(n-k) = 0
 51 // Assumes p[0] != 0. (< or > 0) (overflows otherwise)
 52 
 53 // Author: V.Grichine, 13.05.2005
 54 // --------------------------------------------------------------------
 55 #ifndef G4AN_POL_SOLVER_HH
 56 #define G4AN_POL_SOLVER_HH 1
 57 
 58 #include "G4Types.hh"
 59 
 60 class G4AnalyticalPolSolver
 61 {
 62  public:
 63   G4AnalyticalPolSolver();
 64   ~G4AnalyticalPolSolver();
 65 
 66   G4int QuadRoots(G4double p[5], G4double r[3][5]);
 67   G4int CubicRoots(G4double p[5], G4double r[3][5]);
 68   G4int BiquadRoots(G4double p[5], G4double r[3][5]);
 69   G4int QuarticRoots(G4double p[5], G4double r[3][5]);
 70 };
 71 
 72 #endif
 73