1 | /** |
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2 | This software was developed by the University of Tennessee as part of the |
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3 | Distributed Data Analysis of Neutron Scattering Experiments (DANSE) |
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4 | project funded by the US National Science Foundation. |
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5 | |
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6 | If you use DANSE applications to do scientific research that leads to |
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7 | publication, we ask that you acknowledge the use of the software with the |
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8 | following sentence: |
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9 | |
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10 | "This work benefited from DANSE software developed under NSF award DMR-0520547." |
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11 | |
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12 | copyright 2008, University of Tennessee |
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13 | */ |
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14 | |
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15 | #include <math.h> |
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16 | #include "parameters.hh" |
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17 | #include <stdio.h> |
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18 | using namespace std; |
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19 | #include "schulz.h" |
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20 | |
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21 | #if defined(_MSC_VER) |
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22 | #include "gamma_win.h" |
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23 | #endif |
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24 | |
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25 | Schulz :: Schulz() { |
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26 | scale = Parameter(1.0, true); |
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27 | sigma = Parameter(1.0, true); |
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28 | center = Parameter(0.0, true); |
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29 | } |
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30 | |
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31 | /** |
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32 | * Function to evaluate 1D Schulz function. |
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33 | * The function is normalized to the 'scale' parameter. |
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34 | * |
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35 | * f(x)=scale * math.pow(z+1, z+1)*math.pow((R), z)* |
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36 | * math.exp(-R*(z+1))/(center*gamma(z+1) |
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37 | * z= math.pow[(1/(sigma/center),2]-1 |
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38 | * R= x/center |
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39 | * |
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40 | * @param q: q-value |
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41 | * @return: function value |
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42 | */ |
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43 | double Schulz :: operator()(double q) { |
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44 | double z = pow(center()/ sigma(), 2)-1; |
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45 | double R= q/center(); |
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46 | double zz= z+1; |
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47 | double expo; |
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48 | expo = log(scale())+zz*log(zz)+z*log(R)-R*zz-log(center())-lgamma(zz); |
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49 | |
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50 | return exp(expo);//scale * pow(zz,zz) * pow(R,z) * exp(-1*R*zz)/((center) * tgamma(zz)) ; |
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51 | } |
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52 | |
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53 | /** |
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54 | * Function to evaluate 2D schulz function |
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55 | * The function is normalized to the 'scale' parameter. |
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56 | * |
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57 | * f(x,y) = Schulz(x) * Schulz(y) |
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58 | * |
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59 | * where both Shulzs share the same parameters. |
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60 | * @param q_x: value of Q along x |
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61 | * @param q_y: value of Q along y |
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62 | * @return: function value |
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63 | */ |
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64 | double Schulz :: operator()(double qx, double qy) { |
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65 | return (*this).operator()(qx) * (*this).operator()(qy); |
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66 | } |
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67 | |
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68 | /** |
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69 | * Function to evaluate 2D schulz function |
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70 | * The function is normalized to the 'scale' parameter. |
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71 | * |
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72 | * f(x,y) = Schulz(x) * Schulz(y) |
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73 | * |
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74 | * where both Shulzs share the same parameters. |
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75 | * @param pars: parameters of the cylinder |
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76 | * @param q: q-value |
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77 | * @param phi: angle phi |
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78 | * @return: function value |
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79 | */ |
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80 | double Schulz :: evaluate_rphi(double q, double phi) { |
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81 | double qx = q*cos(phi); |
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82 | double qy = q*sin(phi); |
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83 | return (*this).operator()(qx, qy); |
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84 | } |
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85 | /** |
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86 | * Function to calculate effective radius |
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87 | * @return: effective radius value |
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88 | */ |
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89 | double Schulz :: calculate_ER() { |
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90 | //NOT implemented yet!!! |
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91 | return 0.0; |
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92 | } |
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93 | double Schulz :: calculate_VR() { |
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94 | return 1.0; |
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95 | } |
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