1 | /** |
---|
2 | This software was developed by the University of Tennessee as part of the |
---|
3 | Distributed Data Analysis of Neutron Scattering Experiments (DANSE) |
---|
4 | project funded by the US National Science Foundation. |
---|
5 | |
---|
6 | If you use DANSE applications to do scientific research that leads to |
---|
7 | publication, we ask that you acknowledge the use of the software with the |
---|
8 | following sentence: |
---|
9 | |
---|
10 | "This work benefited from DANSE software developed under NSF award DMR-0520547." |
---|
11 | |
---|
12 | copyright 2008, University of Tennessee |
---|
13 | */ |
---|
14 | |
---|
15 | /** |
---|
16 | * Scattering model classes |
---|
17 | * The classes use the IGOR library found in |
---|
18 | * sansmodels/src/libigor |
---|
19 | * |
---|
20 | */ |
---|
21 | |
---|
22 | #include <math.h> |
---|
23 | #include "models.hh" |
---|
24 | #include "parameters.hh" |
---|
25 | #include <stdio.h> |
---|
26 | using namespace std; |
---|
27 | |
---|
28 | extern "C" { |
---|
29 | #include "onion.h" |
---|
30 | } |
---|
31 | |
---|
32 | OnionModel :: OnionModel() { |
---|
33 | n_shells = Parameter(1.0); |
---|
34 | scale = Parameter(1.0); |
---|
35 | rad_core0 = Parameter(200.0); |
---|
36 | sld_core0 = Parameter(1e-06); |
---|
37 | sld_solv = Parameter(6.4e-06); |
---|
38 | background = Parameter(0.0); |
---|
39 | |
---|
40 | |
---|
41 | sld_out_shell1 = Parameter(1.0e-06); |
---|
42 | sld_out_shell2 = Parameter(1.0e-06); |
---|
43 | sld_out_shell3 = Parameter(1.0e-06); |
---|
44 | sld_out_shell4 = Parameter(1.0e-06); |
---|
45 | sld_out_shell5 = Parameter(1.0e-06); |
---|
46 | sld_out_shell6 = Parameter(1.0e-06); |
---|
47 | sld_out_shell7 = Parameter(1.0e-06); |
---|
48 | sld_out_shell8 = Parameter(1.0e-06); |
---|
49 | sld_out_shell9 = Parameter(1.0e-06); |
---|
50 | sld_out_shell10 = Parameter(1.0e-06); |
---|
51 | |
---|
52 | |
---|
53 | sld_in_shell1 = Parameter(2.3e-06); |
---|
54 | sld_in_shell2 = Parameter(2.6e-06); |
---|
55 | sld_in_shell3 = Parameter(2.9e-06); |
---|
56 | sld_in_shell4 = Parameter(3.2e-06); |
---|
57 | sld_in_shell5 = Parameter(3.5e-06); |
---|
58 | sld_in_shell6 = Parameter(3.8e-06); |
---|
59 | sld_in_shell7 = Parameter(4.1e-06); |
---|
60 | sld_in_shell8 = Parameter(4.4e-06); |
---|
61 | sld_in_shell9 = Parameter(4.7e-06); |
---|
62 | sld_in_shell10 = Parameter(5.0e-06); |
---|
63 | |
---|
64 | |
---|
65 | A_shell1 = Parameter(1.0); |
---|
66 | A_shell2 = Parameter(1.0); |
---|
67 | A_shell3 = Parameter(1.0); |
---|
68 | A_shell4 = Parameter(1.0); |
---|
69 | A_shell5 = Parameter(1.0); |
---|
70 | A_shell6 = Parameter(1.0); |
---|
71 | A_shell7 = Parameter(1.0); |
---|
72 | A_shell8 = Parameter(1.0); |
---|
73 | A_shell9 = Parameter(1.0); |
---|
74 | A_shell10 = Parameter(1.0); |
---|
75 | |
---|
76 | |
---|
77 | thick_shell1 = Parameter(50.0); |
---|
78 | thick_shell2 = Parameter(50.0); |
---|
79 | thick_shell3 = Parameter(50.0); |
---|
80 | thick_shell4 = Parameter(50.0); |
---|
81 | thick_shell5 = Parameter(50.0); |
---|
82 | thick_shell6 = Parameter(50.0); |
---|
83 | thick_shell7 = Parameter(50.0); |
---|
84 | thick_shell8 = Parameter(50.0); |
---|
85 | thick_shell9 = Parameter(50.0); |
---|
86 | thick_shell10 = Parameter(50.0); |
---|
87 | |
---|
88 | |
---|
89 | func_shell1 = Parameter(2); |
---|
90 | func_shell2 = Parameter(2); |
---|
91 | func_shell3 = Parameter(2); |
---|
92 | func_shell4 = Parameter(2); |
---|
93 | func_shell5 = Parameter(2); |
---|
94 | func_shell6 = Parameter(2); |
---|
95 | func_shell7 = Parameter(2); |
---|
96 | func_shell8 = Parameter(2); |
---|
97 | func_shell9 = Parameter(2); |
---|
98 | func_shell10 = Parameter(2); |
---|
99 | |
---|
100 | } |
---|
101 | |
---|
102 | /** |
---|
103 | * Function to evaluate 1D scattering function |
---|
104 | * The NIST IGOR library is used for the actual calculation. |
---|
105 | * @param q: q-value |
---|
106 | * @return: function value |
---|
107 | */ |
---|
108 | double OnionModel :: operator()(double q) { |
---|
109 | double dp[56]; |
---|
110 | // Fill parameter array for IGOR library |
---|
111 | // Add the background after averaging |
---|
112 | dp[0] = n_shells(); |
---|
113 | dp[1] = scale(); |
---|
114 | dp[2] = rad_core0(); |
---|
115 | dp[3] = sld_core0(); |
---|
116 | dp[4] = sld_solv(); |
---|
117 | dp[5] = 0.0; |
---|
118 | |
---|
119 | dp[6] = sld_out_shell1(); |
---|
120 | dp[7] = sld_out_shell2(); |
---|
121 | dp[8] = sld_out_shell3(); |
---|
122 | dp[9] = sld_out_shell4(); |
---|
123 | dp[10] = sld_out_shell5(); |
---|
124 | dp[11] = sld_out_shell6(); |
---|
125 | dp[12] = sld_out_shell7(); |
---|
126 | dp[13] = sld_out_shell8(); |
---|
127 | dp[14] = sld_out_shell9(); |
---|
128 | dp[15] = sld_out_shell10(); |
---|
129 | |
---|
130 | dp[16] = sld_in_shell1(); |
---|
131 | dp[17] = sld_in_shell2(); |
---|
132 | dp[18] = sld_in_shell3(); |
---|
133 | dp[19] = sld_in_shell4(); |
---|
134 | dp[20] = sld_in_shell5(); |
---|
135 | dp[21] = sld_in_shell6(); |
---|
136 | dp[22] = sld_in_shell7(); |
---|
137 | dp[23] = sld_in_shell8(); |
---|
138 | dp[24] = sld_in_shell9(); |
---|
139 | dp[25] = sld_in_shell10(); |
---|
140 | |
---|
141 | dp[26] = A_shell1(); |
---|
142 | dp[27] = A_shell2(); |
---|
143 | dp[28] = A_shell3(); |
---|
144 | dp[29] = A_shell4(); |
---|
145 | dp[30] = A_shell5(); |
---|
146 | dp[31] = A_shell6(); |
---|
147 | dp[32] = A_shell7(); |
---|
148 | dp[33] = A_shell8(); |
---|
149 | dp[34] = A_shell9(); |
---|
150 | dp[35] = A_shell10(); |
---|
151 | |
---|
152 | dp[36] = thick_shell1(); |
---|
153 | dp[37] = thick_shell2(); |
---|
154 | dp[38] = thick_shell3(); |
---|
155 | dp[39] = thick_shell4(); |
---|
156 | dp[40] = thick_shell5(); |
---|
157 | dp[41] = thick_shell6(); |
---|
158 | dp[42] = thick_shell7(); |
---|
159 | dp[43] = thick_shell8(); |
---|
160 | dp[44] = thick_shell9(); |
---|
161 | dp[45] = thick_shell10(); |
---|
162 | |
---|
163 | dp[46] = func_shell1(); |
---|
164 | dp[47] = func_shell2(); |
---|
165 | dp[48] = func_shell3(); |
---|
166 | dp[49] = func_shell4(); |
---|
167 | dp[50] = func_shell5(); |
---|
168 | dp[51] = func_shell6(); |
---|
169 | dp[52] = func_shell7(); |
---|
170 | dp[53] = func_shell8(); |
---|
171 | dp[54] = func_shell9(); |
---|
172 | dp[55] = func_shell10(); |
---|
173 | |
---|
174 | |
---|
175 | // Get the dispersion points for the radius |
---|
176 | vector<WeightPoint> weights_rad; |
---|
177 | rad_core0.get_weights(weights_rad); |
---|
178 | |
---|
179 | // Get the dispersion points for the thick 1 |
---|
180 | vector<WeightPoint> weights_s1; |
---|
181 | thick_shell1.get_weights(weights_s1); |
---|
182 | |
---|
183 | // Get the dispersion points for the thick 2 |
---|
184 | vector<WeightPoint> weights_s2; |
---|
185 | thick_shell2.get_weights(weights_s2); |
---|
186 | |
---|
187 | // Get the dispersion points for the thick 3 |
---|
188 | vector<WeightPoint> weights_s3; |
---|
189 | thick_shell3.get_weights(weights_s3); |
---|
190 | |
---|
191 | // Get the dispersion points for the thick 4 |
---|
192 | vector<WeightPoint> weights_s4; |
---|
193 | thick_shell4.get_weights(weights_s4); |
---|
194 | |
---|
195 | // Get the dispersion points for the thick 5 |
---|
196 | vector<WeightPoint> weights_s5; |
---|
197 | thick_shell5.get_weights(weights_s5); |
---|
198 | |
---|
199 | // Get the dispersion points for the thick 6 |
---|
200 | vector<WeightPoint> weights_s6; |
---|
201 | thick_shell6.get_weights(weights_s6); |
---|
202 | |
---|
203 | // Get the dispersion points for the thick 7 |
---|
204 | vector<WeightPoint> weights_s7; |
---|
205 | thick_shell7.get_weights(weights_s7); |
---|
206 | |
---|
207 | // Get the dispersion points for the thick 8 |
---|
208 | vector<WeightPoint> weights_s8; |
---|
209 | thick_shell8.get_weights(weights_s8); |
---|
210 | // Get the dispersion points for the thick 9 |
---|
211 | vector<WeightPoint> weights_s9; |
---|
212 | thick_shell9.get_weights(weights_s9); |
---|
213 | |
---|
214 | // Get the dispersion points for the thick 10 |
---|
215 | vector<WeightPoint> weights_s10; |
---|
216 | thick_shell10.get_weights(weights_s10); |
---|
217 | |
---|
218 | |
---|
219 | // Perform the computation, with all weight points |
---|
220 | double sum = 0.0; |
---|
221 | double norm = 0.0; |
---|
222 | double vol = 0.0; |
---|
223 | |
---|
224 | // Loop over radius weight points |
---|
225 | for(size_t i=0; i<weights_rad.size(); i++) { |
---|
226 | dp[2] = weights_rad[i].value; |
---|
227 | // Loop over radius weight points |
---|
228 | for(size_t j=0; j<weights_s1.size(); j++) { |
---|
229 | dp[36] = weights_s1[j].value; |
---|
230 | // Loop over radius weight points |
---|
231 | for(size_t k=0; k<weights_s2.size(); k++) { |
---|
232 | dp[37] = weights_s2[k].value; |
---|
233 | // Loop over radius weight points |
---|
234 | for(size_t l=0; l<weights_s3.size(); l++) { |
---|
235 | dp[38] = weights_s3[l].value; |
---|
236 | // Loop over radius weight points |
---|
237 | for(size_t m=0; m<weights_s4.size(); m++) { |
---|
238 | dp[39] = weights_s4[m].value; |
---|
239 | for(size_t n=0; n<weights_s5.size(); n++) { |
---|
240 | dp[40] = weights_s5[n].value; |
---|
241 | for(size_t o=0; o<weights_s6.size(); o++) { |
---|
242 | dp[41] = weights_s6[o].value; |
---|
243 | for(size_t p=0; p<weights_s7.size(); p++) { |
---|
244 | dp[42] = weights_s7[p].value; |
---|
245 | for(size_t t=0; t<weights_s8.size(); t++) { |
---|
246 | dp[43] = weights_s8[t].value; |
---|
247 | for(size_t r=0; r<weights_s9.size(); r++) { |
---|
248 | dp[44] = weights_s9[r].value; |
---|
249 | for(size_t s=0; s<weights_s10.size(); s++) { |
---|
250 | dp[45] = weights_s10[s].value; |
---|
251 | //Un-normalize Shells by volume |
---|
252 | sum += weights_rad[i].weight*weights_s1[j].weight*weights_s2[k].weight*weights_s3[l].weight*weights_s4[m].weight |
---|
253 | *weights_s5[n].weight*weights_s6[o].weight*weights_s7[p].weight*weights_s8[t].weight |
---|
254 | *weights_s9[r].weight*weights_s10[s].weight |
---|
255 | * so_kernel(dp,q) * pow((weights_rad[i].value+weights_s1[j].value+weights_s2[k].value+weights_s3[l].value+weights_s4[m].value |
---|
256 | +weights_s5[n].value+weights_s6[o].value+weights_s7[p].value+weights_s8[t].value |
---|
257 | +weights_s9[r].value+weights_s10[s].value),3.0); |
---|
258 | //Find average volume |
---|
259 | vol += weights_rad[i].weight*weights_s1[j].weight*weights_s2[k].weight*weights_s3[l].weight*weights_s4[m].weight |
---|
260 | *weights_s5[n].weight*weights_s6[o].weight*weights_s7[p].weight*weights_s8[t].weight |
---|
261 | *weights_s9[r].weight*weights_s10[s].weight |
---|
262 | * pow((weights_rad[i].value+weights_s1[j].value+weights_s2[k].value+weights_s3[l].value+weights_s4[m].value |
---|
263 | +weights_s5[n].value+weights_s6[o].value+weights_s7[p].value+weights_s8[t].value |
---|
264 | +weights_s9[r].value+weights_s10[s].value),3.0); |
---|
265 | norm += weights_rad[i].weight*weights_s1[j].weight*weights_s2[k].weight*weights_s3[l].weight*weights_s4[m].weight |
---|
266 | *weights_s5[n].weight*weights_s6[o].weight*weights_s7[p].weight*weights_s8[t].weight |
---|
267 | *weights_s9[r].weight*weights_s10[s].weight; |
---|
268 | } |
---|
269 | } |
---|
270 | } |
---|
271 | } |
---|
272 | } |
---|
273 | } |
---|
274 | } |
---|
275 | } |
---|
276 | } |
---|
277 | } |
---|
278 | } |
---|
279 | |
---|
280 | if (vol != 0.0 && norm != 0.0) { |
---|
281 | //Re-normalize by avg volume |
---|
282 | sum = sum/(vol/norm);} |
---|
283 | |
---|
284 | return sum/norm + background(); |
---|
285 | } |
---|
286 | |
---|
287 | /** |
---|
288 | * Function to evaluate 2D scattering function |
---|
289 | * @param q_x: value of Q along x |
---|
290 | * @param q_y: value of Q along y |
---|
291 | * @return: function value |
---|
292 | */ |
---|
293 | double OnionModel :: operator()(double qx, double qy) { |
---|
294 | double q = sqrt(qx*qx + qy*qy); |
---|
295 | return (*this).operator()(q); |
---|
296 | } |
---|
297 | |
---|
298 | /** |
---|
299 | * Function to evaluate 2D scattering function |
---|
300 | * @param pars: parameters of the sphere |
---|
301 | * @param q: q-value |
---|
302 | * @param phi: angle phi |
---|
303 | * @return: function value |
---|
304 | */ |
---|
305 | double OnionModel :: evaluate_rphi(double q, double phi) { |
---|
306 | return (*this).operator()(q); |
---|
307 | } |
---|
308 | |
---|
309 | /** |
---|
310 | * Function to calculate effective radius |
---|
311 | * @return: effective radius value |
---|
312 | */ |
---|
313 | double OnionModel :: calculate_ER() { |
---|
314 | OnionParameters dp; |
---|
315 | dp.rad_core0 = rad_core0(); |
---|
316 | dp.thick_shell1 = thick_shell1(); |
---|
317 | dp.thick_shell2 = thick_shell2(); |
---|
318 | dp.thick_shell3 = thick_shell3(); |
---|
319 | dp.thick_shell4 = thick_shell4(); |
---|
320 | dp.thick_shell5 = thick_shell5(); |
---|
321 | dp.thick_shell6 = thick_shell6(); |
---|
322 | dp.thick_shell7 = thick_shell7(); |
---|
323 | dp.thick_shell8 = thick_shell8(); |
---|
324 | dp.thick_shell9 = thick_shell9(); |
---|
325 | dp.thick_shell10 = thick_shell10(); |
---|
326 | |
---|
327 | |
---|
328 | double rad_out = 0.0; |
---|
329 | // Perform the computation, with all weight points |
---|
330 | double sum = 0.0; |
---|
331 | double norm = 0.0; |
---|
332 | |
---|
333 | // Get the dispersion points for the radius |
---|
334 | vector<WeightPoint> weights_rad; |
---|
335 | rad_core0.get_weights(weights_rad); |
---|
336 | |
---|
337 | // Get the dispersion points for the thick 1 |
---|
338 | vector<WeightPoint> weights_s1; |
---|
339 | thick_shell1.get_weights(weights_s1); |
---|
340 | |
---|
341 | // Get the dispersion points for the thick 2 |
---|
342 | vector<WeightPoint> weights_s2; |
---|
343 | thick_shell2.get_weights(weights_s2); |
---|
344 | |
---|
345 | // Get the dispersion points for the thick 3 |
---|
346 | vector<WeightPoint> weights_s3; |
---|
347 | thick_shell3.get_weights(weights_s3); |
---|
348 | |
---|
349 | // Get the dispersion points for the thick 4 |
---|
350 | vector<WeightPoint> weights_s4; |
---|
351 | thick_shell4.get_weights(weights_s4); |
---|
352 | // Get the dispersion points for the thick 5 |
---|
353 | vector<WeightPoint> weights_s5; |
---|
354 | thick_shell5.get_weights(weights_s5); |
---|
355 | |
---|
356 | // Get the dispersion points for the thick 6 |
---|
357 | vector<WeightPoint> weights_s6; |
---|
358 | thick_shell6.get_weights(weights_s6); |
---|
359 | |
---|
360 | // Get the dispersion points for the thick 7 |
---|
361 | vector<WeightPoint> weights_s7; |
---|
362 | thick_shell7.get_weights(weights_s7); |
---|
363 | |
---|
364 | // Get the dispersion points for the thick 8 |
---|
365 | vector<WeightPoint> weights_s8; |
---|
366 | thick_shell8.get_weights(weights_s8); |
---|
367 | // Get the dispersion points for the thick 9 |
---|
368 | vector<WeightPoint> weights_s9; |
---|
369 | thick_shell9.get_weights(weights_s9); |
---|
370 | |
---|
371 | // Get the dispersion points for the thick 10 |
---|
372 | vector<WeightPoint> weights_s10; |
---|
373 | thick_shell10.get_weights(weights_s10); |
---|
374 | |
---|
375 | |
---|
376 | // Loop over radius weight points |
---|
377 | for(size_t i=0; i<weights_rad.size(); i++) { |
---|
378 | dp.rad_core0 = weights_rad[i].value; |
---|
379 | // Loop over radius weight points |
---|
380 | for(size_t j=0; j<weights_s1.size(); j++) { |
---|
381 | dp.thick_shell1 = weights_s1[j].value; |
---|
382 | // Loop over radius weight points |
---|
383 | for(size_t k=0; k<weights_s2.size(); k++) { |
---|
384 | dp.thick_shell2 = weights_s2[k].value; |
---|
385 | // Loop over radius weight points |
---|
386 | for(size_t l=0; l<weights_s3.size(); l++) { |
---|
387 | dp.thick_shell3 = weights_s3[l].value; |
---|
388 | // Loop over radius weight points |
---|
389 | for(size_t m=0; m<weights_s4.size(); m++) { |
---|
390 | dp.thick_shell4 = weights_s4[m].value; |
---|
391 | // Loop over radius weight points |
---|
392 | for(size_t n=0; j<weights_s5.size(); n++) { |
---|
393 | dp.thick_shell5 = weights_s5[n].value; |
---|
394 | // Loop over radius weight points |
---|
395 | for(size_t o=0; k<weights_s6.size(); o++) { |
---|
396 | dp.thick_shell6 = weights_s6[o].value; |
---|
397 | // Loop over radius weight points |
---|
398 | for(size_t p=0; l<weights_s7.size(); p++) { |
---|
399 | dp.thick_shell7 = weights_s7[p].value; |
---|
400 | // Loop over radius weight points |
---|
401 | for(size_t t=0; m<weights_s8.size(); t++) { |
---|
402 | dp.thick_shell8 = weights_s8[t].value; |
---|
403 | // Loop over radius weight points |
---|
404 | for(size_t r=0; l<weights_s9.size(); r++) { |
---|
405 | dp.thick_shell8 = weights_s9[r].value; |
---|
406 | // Loop over radius weight points |
---|
407 | for(size_t s=0; m<weights_s10.size(); s++) { |
---|
408 | dp.thick_shell10 = weights_s10[s].value; |
---|
409 | //Un-normalize FourShell by volume |
---|
410 | sum += weights_rad[i].weight*weights_s1[j].weight*weights_s2[k].weight*weights_s3[l].weight*weights_s4[m].weight |
---|
411 | *weights_s5[n].weight*weights_s6[o].weight*weights_s7[p].weight*weights_s8[t].weight |
---|
412 | *weights_s9[r].weight*weights_s10[s].weight |
---|
413 | * (dp.rad_core0+dp.thick_shell1+dp.thick_shell2+dp.thick_shell3+dp.thick_shell4+dp.thick_shell5 |
---|
414 | +dp.thick_shell6+dp.thick_shell7+dp.thick_shell8+dp.thick_shell9+dp.thick_shell10); |
---|
415 | norm += weights_rad[i].weight*weights_s1[j].weight*weights_s2[k].weight*weights_s3[l].weight |
---|
416 | *weights_s4[m].weight*weights_s5[n].weight*weights_s6[o].weight*weights_s7[p].weight |
---|
417 | *weights_s8[t].weight*weights_s9[r].weight*weights_s10[s].weight; |
---|
418 | } |
---|
419 | } |
---|
420 | } |
---|
421 | } |
---|
422 | } |
---|
423 | } |
---|
424 | } |
---|
425 | } |
---|
426 | } |
---|
427 | } |
---|
428 | } |
---|
429 | |
---|
430 | if (norm != 0){ |
---|
431 | //return the averaged value |
---|
432 | rad_out = sum/norm;} |
---|
433 | else{ |
---|
434 | //return normal value |
---|
435 | rad_out = dp.rad_core0+dp.thick_shell1+dp.thick_shell2+dp.thick_shell3+dp.thick_shell4 |
---|
436 | +dp.thick_shell5+dp.thick_shell6+dp.thick_shell7+dp.thick_shell8+dp.thick_shell9+dp.thick_shell10;} |
---|
437 | return rad_out; |
---|
438 | } |
---|