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 //---------------------------------------------------------------------------
 // ClassName:   G4UCNMicroRoughnessHelper
 //
 // Class description:
 //
 // This file contains the headers of various functions all related to the
 // calculation of microroughness.
 // see A. Steyerl, Z. Physik 254 (1972) 169.
 //
 // Angular cut: for angles which are closer to the specular direction than a
 // certain value (0.01°), the probability is set to 0 in order to avoid a
 // hang-up at the generation of the polar angle due to a very sharp angular
 // distribution
 //
 // 12-05-14, adopted from Stefan Heule (PSI) Thesis by P.Gumplinger
 //           reported in F. Atchison et al., Eur. Phys. J. A 44, 23–29 (2010)
 //                       DOI:  10.1140/epja/i2010-10926-x
 //           Thanks to Geza Zsigmond
 //
 // 02-11-19  Stefan Heule's thesis is available from PSI UCN group pages at
 //           https://www.psi.ch/en/ltp-ucn-physics/papers-and-theses
 //           or directly at https://opac.nebis.ch/ediss/20080426_002127549.pdf
 
 #ifndef G4MICROROUGHNESSHELPER_HH
 #define G4MICROROUGHNESSHELPER_HH 1
 
 #include "G4Types.hh"
 
 class G4UCNMicroRoughnessHelper
 {
  public:  // with description
   static G4UCNMicroRoughnessHelper* GetInstance();
 
  public:  // with description
   // Transmitted intensity with k-vector in vacuum
   // arguments:
   //         1) cos(theta)^2,
   //         2) (k_l/k)^2
   G4double S2(G4double, G4double) const;
 
   // Transmitted intensity with k-vector within the medium
   // arguments:
   //         1) cos(theta')^2,
   //         2) (k_l/k')^2
   G4double SS2(G4double, G4double) const;
 
   // Fourier-tranform of the autocorrelation function with k-vector in vacuum
   // arguments:
   //         1) k^2,
   //         2) theta_i,
   //         3) theta_o,
   //         4) phi_o,
   //         5) b^2,
   //         6) w^2,
   //         7) angular cut
   G4double Fmu(G4double, G4double, G4double, G4double, G4double, G4double, G4double) const;
 
   // Fourier-tranform of the autocorrelation function with k-vector within
   // the medium
   // arguments:
   //         1) k,
   //         2) k',
   //         3) theta_i,
   //         4) theta'_o,
   //         5) phi'_o,
   //         6) b^2,
   //         7) w^2,
   //         8) angular cut
   //         9) theta_refract
   G4double FmuS(
     G4double, G4double, G4double, G4double, G4double, G4double, G4double, G4double, G4double) const;
 
   // Integral probability for non-specular reflection
   // arguments:
   //         1) E,
   //         2) V_F,
   //         3) theta_i,
   //         4) number of angles theta_o for which the probability is calculated,
   //         5) number of angles phi_o for which the probability is calculated,
   //         6) b^2,
   //         7) w^2,
   //         8) pointer to G4double array with max values of the probability,
   //         9) angular cut
   G4double IntIplus(
     G4double, G4double, G4double, G4int, G4int, G4double, G4double, G4double*, G4double) const;
 
   // Probability of non-specular reflection with the microroughness model
   // arguments:
   //         1) E,
   //         2) V_F,
   //         3) theta_i,
   //         4) theta_o,
   //         5) phi_o,
   //         6) b,
   //         7) w,
   //         8) angular cut
   G4double ProbIplus(
     G4double, G4double, G4double, G4double, G4double, G4double, G4double, G4double) const;
 
   // Integral probability for non-specular transmission
   // arguments:
   //         1) E,
   //         2) V_F,
   //         3) theta_i,
   //         4) number of angles theta_o for which the probability is calculated,
   //         5) number of angles phi_o for which the probability is calculated,
   //         6) b^2,
   //         7) w^2,
   //         8) pointer to G4double array with max values of the probability,
   //         9) angular cut
   G4double IntIminus(
     G4double, G4double, G4double, G4int, G4int, G4double, G4double, G4double*, G4double) const;
 
   // Probability of non-specular transmission with the microroughness model
   // arguments:
   //         1) E,
   //         2) V_F,
   //         3) theta_i,
   //         4) theta'_o,
   //         5) phi'_o,
   //         6) b,
   //         7) w,
   //         8) angular cut
   G4double ProbIminus(
     G4double, G4double, G4double, G4double, G4double, G4double, G4double, G4double) const;
 
  protected:
   G4UCNMicroRoughnessHelper() = default;
   ~G4UCNMicroRoughnessHelper();
 
  private:
   static G4UCNMicroRoughnessHelper* fpInstance;
 };
 
 #endif  // G4MICROROUGHNESSHELPER_HH

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