1 | double form_volume(double length, double kuhn_length, double radius); |
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2 | double Iq(double q, double length, double kuhn_length, double radius, |
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3 | double axis_ratio, double sld, double solvent_sld); |
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4 | double Iqxy(double qx, double qy, double length, double kuhn_length, |
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5 | double radius, double axis_ratio, double sld, double solvent_sld); |
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6 | double flexible_cylinder_ex_kernel(double q, double length, double kuhn_length, |
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7 | double radius, double axis_ratio, double sld, |
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8 | double solvent_sld); |
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9 | double elliptical_crosssection(double q, double a, double b); |
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10 | |
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11 | double form_volume(double length, double kuhn_length, double radius) |
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12 | { |
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13 | return 1.0; |
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14 | } |
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15 | |
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16 | double |
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17 | elliptical_crosssection(double q, double a, double b) |
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18 | { |
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19 | double uplim,lolim,Pi,summ,arg,zi,yyy,answer; |
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20 | int i,nord=76; |
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21 | |
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22 | Pi = 4.0*atan(1.0); |
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23 | lolim=0.0; |
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24 | uplim=Pi/2.0; |
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25 | summ=0.0; |
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26 | |
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27 | for(i=0;i<nord;i++) { |
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28 | zi = ( Gauss76Z[i]*(uplim-lolim) + uplim + lolim )/2.0; |
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29 | arg = q*sqrt(a*a*sin(zi)*sin(zi)+b*b*cos(zi)*cos(zi)); |
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30 | yyy = pow((2.0 * J1(arg) / arg),2); |
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31 | yyy *= Gauss76Wt[i]; |
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32 | summ += yyy; |
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33 | } |
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34 | answer = (uplim-lolim)/2.0*summ; |
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35 | answer *= 2.0/Pi; |
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36 | return(answer); |
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37 | |
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38 | } |
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39 | |
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40 | double flexible_cylinder_ex_kernel(double q, |
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41 | double length, |
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42 | double kuhn_length, |
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43 | double radius, |
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44 | double axis_ratio, |
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45 | double sld, |
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46 | double solvent_sld) |
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47 | { |
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48 | |
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49 | double Pi,flex,crossSect, cont; |
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50 | |
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51 | Pi = 4.0*atan(1.0); |
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52 | cont = sld - solvent_sld; |
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53 | crossSect = elliptical_crosssection(q,radius,(radius*axis_ratio)); |
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54 | |
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55 | flex = Sk_WR(q,length,kuhn_length); |
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56 | flex *= crossSect; |
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57 | flex *= Pi*radius*radius*axis_ratio*axis_ratio*length; |
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58 | flex *= cont*cont; |
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59 | flex *= 1.0e-4; |
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60 | |
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61 | return flex; |
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62 | } |
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63 | |
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64 | double Iq(double q, |
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65 | double length, |
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66 | double kuhn_length, |
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67 | double radius, |
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68 | double axis_ratio, |
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69 | double sld, |
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70 | double solvent_sld) |
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71 | { |
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72 | |
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73 | double result = flexible_cylinder_ex_kernel(q, |
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74 | length, |
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75 | kuhn_length, |
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76 | radius, |
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77 | axis_ratio, |
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78 | sld, |
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79 | solvent_sld); |
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80 | |
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81 | return result; |
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82 | } |
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83 | |
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84 | double Iqxy(double qx, double qy, |
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85 | double length, |
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86 | double kuhn_length, |
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87 | double radius, |
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88 | double axis_ratio, |
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89 | double sld, |
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90 | double solvent_sld) |
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91 | { |
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92 | double q; |
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93 | q = sqrt(qx*qx+qy*qy); |
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94 | double result = flexible_cylinder_ex_kernel(q, |
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95 | length, |
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96 | kuhn_length, |
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97 | radius, |
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98 | axis_ratio, |
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99 | sld, |
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100 | solvent_sld); |
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101 | |
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102 | return result; |
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103 | } |
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