core_shell_microgelsmagnetic_modelticket-1257-vesicle-productticket_1156ticket_1265_superballticket_822_more_unit_tests
Last change
on this file since 393facf was
c3ccaec,
checked in by GitHub <noreply@…>, 7 years ago
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Merge branch 'master' into ticket-815
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File size:
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[577912b] | 1 | double form_volume(double radius, double num_pearls); |
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| 2 | |
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| 3 | double Iq(double q, |
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| 4 | double radius, |
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| 5 | double edge_sep, |
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[e9b0ef3] | 6 | double fp_num_pearls, |
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[577912b] | 7 | double pearl_sld, |
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| 8 | double solvent_sld); |
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| 9 | |
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| 10 | double linear_pearls_kernel(double q, |
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| 11 | double radius, |
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| 12 | double edge_sep, |
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[e9b0ef3] | 13 | int num_pearls, |
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[577912b] | 14 | double pearl_sld, |
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| 15 | double solvent_sld); |
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| 16 | |
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| 17 | |
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[e9b0ef3] | 18 | double form_volume(double radius, double fp_num_pearls) |
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[577912b] | 19 | { |
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[e9b0ef3] | 20 | int num_pearls = (int)(fp_num_pearls + 0.5); |
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[577912b] | 21 | // Pearl volume |
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[3a48772] | 22 | double pearl_vol = M_4PI_3 * cube(radius); |
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[577912b] | 23 | // Return total volume |
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| 24 | return num_pearls * pearl_vol;; |
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| 25 | } |
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| 26 | |
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| 27 | double linear_pearls_kernel(double q, |
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| 28 | double radius, |
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| 29 | double edge_sep, |
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[e9b0ef3] | 30 | int num_pearls, |
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[577912b] | 31 | double pearl_sld, |
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| 32 | double solvent_sld) |
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| 33 | { |
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| 34 | //relative sld |
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| 35 | double contrast_pearl = pearl_sld - solvent_sld; |
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| 36 | //each volume |
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[3a48772] | 37 | double pearl_vol = M_4PI_3 * cube(radius); |
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[577912b] | 38 | //total volume |
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| 39 | double tot_vol = num_pearls * pearl_vol; |
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| 40 | //mass |
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| 41 | double m_s = contrast_pearl * pearl_vol; |
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| 42 | //center to center distance between the neighboring pearls |
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| 43 | double separation = edge_sep + 2.0 * radius; |
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| 44 | |
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| 45 | //sine functions of a pearl |
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[925ad6e] | 46 | double psi = sas_3j1x_x(q * radius); |
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[577912b] | 47 | |
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[4367142] | 48 | // N pearls interaction terms |
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| 49 | double structure_factor = (double)num_pearls; |
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[e9b0ef3] | 50 | for(int num=1; num<num_pearls; num++) { |
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[c3ccaec] | 51 | structure_factor += 2.0*(num_pearls-num)*sas_sinx_x(q*separation*num); |
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[577912b] | 52 | } |
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| 53 | // form factor for num_pearls |
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[4367142] | 54 | double form_factor = 1.0e-4 * structure_factor * square(m_s*psi) / tot_vol; |
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[577912b] | 55 | |
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| 56 | return form_factor; |
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| 57 | } |
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| 58 | |
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| 59 | double Iq(double q, |
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| 60 | double radius, |
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| 61 | double edge_sep, |
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[e9b0ef3] | 62 | double fp_num_pearls, |
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[577912b] | 63 | double pearl_sld, |
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| 64 | double solvent_sld) |
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| 65 | { |
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| 66 | |
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[e9b0ef3] | 67 | int num_pearls = (int)(fp_num_pearls + 0.5); |
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[577912b] | 68 | double result = linear_pearls_kernel(q, |
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| 69 | radius, |
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| 70 | edge_sep, |
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| 71 | num_pearls, |
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| 72 | pearl_sld, |
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| 73 | solvent_sld); |
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| 74 | |
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| 75 | return result; |
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| 76 | } |
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