25 #ifndef __polimi__ass_leg_function_h
26 #define __polimi__ass_leg_function_h
80 void AssLegFunSph(
const unsigned int p,
const unsigned int m,
double x,
double y[]);
82 void AssLegFunSphDeriv(
const unsigned int p,
const unsigned int m,
double x,
double y[],
double dy[]);
84 double GetAssLegFunSph(
const unsigned int n,
const unsigned int m,
double x)
const;
86 double GetAssLegFunSphDeriv(
const unsigned int n,
const unsigned int m,
double x)
const;
91 std::vector <std::vector <double (AssLegFunction::*)(const double ) const> >
leg_pointers;
92 std::vector <std::vector <double (AssLegFunction::*)(const double ) const> >
leg_der_pointers;
95 double P_0_0 (
const double x)
const;
96 double P_0_0_Deriv (
const double x)
const;
97 double P_1_0 (
const double x)
const;
98 double P_1_0_Deriv (
const double x)
const;
99 double P_1_1 (
const double x)
const;
100 double P_1_1_Deriv (
const double x)
const;
101 double P_2_0 (
const double x)
const;
102 double P_2_0_Deriv (
const double x)
const;
103 double P_2_1 (
const double x)
const;
104 double P_2_1_Deriv (
const double x)
const;
105 double P_2_2 (
const double x)
const;
106 double P_2_2_Deriv (
const double x)
const;
107 double P_3_0 (
const double x)
const;
108 double P_3_0_Deriv (
const double x)
const;
109 double P_3_1 (
const double x)
const;
110 double P_3_1_Deriv (
const double x)
const;
111 double P_3_2 (
const double x)
const;
112 double P_3_2_Deriv (
const double x)
const;
113 double P_3_3 (
const double x)
const;
114 double P_3_3_Deriv (
const double x)
const;
115 double P_4_0 (
const double x)
const;
116 double P_4_0_Deriv (
const double x)
const;
117 double P_4_1 (
const double x)
const;
118 double P_4_1_Deriv (
const double x)
const;
119 double P_4_2 (
const double x)
const;
120 double P_4_2_Deriv (
const double x)
const;
121 double P_4_3 (
const double x)
const;
122 double P_4_3_Deriv (
const double x)
const;
123 double P_4_4 (
const double x)
const;
124 double P_4_4_Deriv (
const double x)
const;
125 double P_5_0 (
const double x)
const;
126 double P_5_0_Deriv (
const double x)
const;
127 double P_5_1 (
const double x)
const;
128 double P_5_1_Deriv (
const double x)
const;
129 double P_5_2 (
const double x)
const;
130 double P_5_2_Deriv (
const double x)
const;
131 double P_5_3 (
const double x)
const;
132 double P_5_3_Deriv (
const double x)
const;
133 double P_5_4 (
const double x)
const;
134 double P_5_4_Deriv (
const double x)
const;
135 double P_5_5 (
const double x)
const;
136 double P_5_5_Deriv (
const double x)
const;
137 double P_6_0 (
const double x)
const;
138 double P_6_0_Deriv (
const double x)
const;
139 double P_6_1 (
const double x)
const;
140 double P_6_1_Deriv (
const double x)
const;
141 double P_6_2 (
const double x)
const;
142 double P_6_2_Deriv (
const double x)
const;
143 double P_6_3 (
const double x)
const;
144 double P_6_3_Deriv (
const double x)
const;
145 double P_6_4 (
const double x)
const;
146 double P_6_4_Deriv (
const double x)
const;
147 double P_6_5 (
const double x)
const;
148 double P_6_5_Deriv (
const double x)
const;
149 double P_6_6 (
const double x)
const;
150 double P_6_6_Deriv (
const double x)
const;
151 double P_7_0 (
const double x)
const;
152 double P_7_0_Deriv (
const double x)
const;
153 double P_7_1 (
const double x)
const;
154 double P_7_1_Deriv (
const double x)
const;
155 double P_7_2 (
const double x)
const;
156 double P_7_2_Deriv (
const double x)
const;
157 double P_7_3 (
const double x)
const;
158 double P_7_3_Deriv (
const double x)
const;
159 double P_7_4 (
const double x)
const;
160 double P_7_4_Deriv (
const double x)
const;
161 double P_7_5 (
const double x)
const;
162 double P_7_5_Deriv (
const double x)
const;
163 double P_7_6 (
const double x)
const;
164 double P_7_6_Deriv (
const double x)
const;
165 double P_7_7 (
const double x)
const;
166 double P_7_7_Deriv (
const double x)
const;
167 double P_8_0 (
const double x)
const;
168 double P_8_0_Deriv (
const double x)
const;
169 double P_8_1 (
const double x)
const;
170 double P_8_1_Deriv (
const double x)
const;
171 double P_8_2 (
const double x)
const;
172 double P_8_2_Deriv (
const double x)
const;
173 double P_8_3 (
const double x)
const;
174 double P_8_3_Deriv (
const double x)
const;
175 double P_8_4 (
const double x)
const;
176 double P_8_4_Deriv (
const double x)
const;
177 double P_8_5 (
const double x)
const;
178 double P_8_5_Deriv (
const double x)
const;
179 double P_8_6 (
const double x)
const;
180 double P_8_6_Deriv (
const double x)
const;
181 double P_8_7 (
const double x)
const;
182 double P_8_7_Deriv (
const double x)
const;
183 double P_8_8 (
const double x)
const;
184 double P_8_8_Deriv (
const double x)
const;
185 double P_9_0 (
const double x)
const;
186 double P_9_0_Deriv (
const double x)
const;
187 double P_9_1 (
const double x)
const;
188 double P_9_1_Deriv (
const double x)
const;
189 double P_9_2 (
const double x)
const;
190 double P_9_2_Deriv (
const double x)
const;
191 double P_9_3 (
const double x)
const;
192 double P_9_3_Deriv (
const double x)
const;
193 double P_9_4 (
const double x)
const;
194 double P_9_4_Deriv (
const double x)
const;
195 double P_9_5 (
const double x)
const;
196 double P_9_5_Deriv (
const double x)
const;
197 double P_9_6 (
const double x)
const;
198 double P_9_6_Deriv (
const double x)
const;
199 double P_9_7 (
const double x)
const;
200 double P_9_7_Deriv (
const double x)
const;
201 double P_9_8 (
const double x)
const;
202 double P_9_8_Deriv (
const double x)
const;
203 double P_9_9 (
const double x)
const;
204 double P_9_9_Deriv (
const double x)
const;
205 double P_10_0 (
const double x)
const;
206 double P_10_0_Deriv (
const double x)
const;
207 double P_10_1 (
const double x)
const;
208 double P_10_1_Deriv (
const double x)
const;
209 double P_10_2 (
const double x)
const;
210 double P_10_2_Deriv (
const double x)
const;
211 double P_10_3 (
const double x)
const;
212 double P_10_3_Deriv (
const double x)
const;
213 double P_10_4 (
const double x)
const;
214 double P_10_4_Deriv (
const double x)
const;
215 double P_10_5 (
const double x)
const;
216 double P_10_5_Deriv (
const double x)
const;
217 double P_10_6 (
const double x)
const;
218 double P_10_6_Deriv (
const double x)
const;
219 double P_10_7 (
const double x)
const;
220 double P_10_7_Deriv (
const double x)
const;
221 double P_10_8 (
const double x)
const;
222 double P_10_8_Deriv (
const double x)
const;
223 double P_10_9 (
const double x)
const;
224 double P_10_9_Deriv (
const double x)
const;
225 double P_10_10 (
const double x)
const;
226 double P_10_10_Deriv (
const double x)
const;
227 double P_11_0 (
const double x)
const;
228 double P_11_0_Deriv (
const double x)
const;
229 double P_11_1 (
const double x)
const;
230 double P_11_1_Deriv (
const double x)
const;
231 double P_11_2 (
const double x)
const;
232 double P_11_2_Deriv (
const double x)
const;
233 double P_11_3 (
const double x)
const;
234 double P_11_3_Deriv (
const double x)
const;
235 double P_11_4 (
const double x)
const;
236 double P_11_4_Deriv (
const double x)
const;
237 double P_11_5 (
const double x)
const;
238 double P_11_5_Deriv (
const double x)
const;
239 double P_11_6 (
const double x)
const;
240 double P_11_6_Deriv (
const double x)
const;
241 double P_11_7 (
const double x)
const;
242 double P_11_7_Deriv (
const double x)
const;
243 double P_11_8 (
const double x)
const;
244 double P_11_8_Deriv (
const double x)
const;
245 double P_11_9 (
const double x)
const;
246 double P_11_9_Deriv (
const double x)
const;
247 double P_11_10 (
const double x)
const;
248 double P_11_10_Deriv (
const double x)
const;
249 double P_11_11 (
const double x)
const;
250 double P_11_11_Deriv (
const double x)
const;
251 double P_12_0 (
const double x)
const;
252 double P_12_0_Deriv (
const double x)
const;
253 double P_12_1 (
const double x)
const;
254 double P_12_1_Deriv (
const double x)
const;
255 double P_12_2 (
const double x)
const;
256 double P_12_2_Deriv (
const double x)
const;
257 double P_12_3 (
const double x)
const;
258 double P_12_3_Deriv (
const double x)
const;
259 double P_12_4 (
const double x)
const;
260 double P_12_4_Deriv (
const double x)
const;
261 double P_12_5 (
const double x)
const;
262 double P_12_5_Deriv (
const double x)
const;
263 double P_12_6 (
const double x)
const;
264 double P_12_6_Deriv (
const double x)
const;
265 double P_12_7 (
const double x)
const;
266 double P_12_7_Deriv (
const double x)
const;
267 double P_12_8 (
const double x)
const;
268 double P_12_8_Deriv (
const double x)
const;
269 double P_12_9 (
const double x)
const;
270 double P_12_9_Deriv (
const double x)
const;
271 double P_12_10 (
const double x)
const;
272 double P_12_10_Deriv (
const double x)
const;
273 double P_12_11 (
const double x)
const;
274 double P_12_11_Deriv (
const double x)
const;
275 double P_12_12 (
const double x)
const;
276 double P_12_12_Deriv (
const double x)
const;
277 double P_13_0 (
const double x)
const;
278 double P_13_0_Deriv (
const double x)
const;
279 double P_13_1 (
const double x)
const;
280 double P_13_1_Deriv (
const double x)
const;
281 double P_13_2 (
const double x)
const;
282 double P_13_2_Deriv (
const double x)
const;
283 double P_13_3 (
const double x)
const;
284 double P_13_3_Deriv (
const double x)
const;
285 double P_13_4 (
const double x)
const;
286 double P_13_4_Deriv (
const double x)
const;
287 double P_13_5 (
const double x)
const;
288 double P_13_5_Deriv (
const double x)
const;
289 double P_13_6 (
const double x)
const;
290 double P_13_6_Deriv (
const double x)
const;
291 double P_13_7 (
const double x)
const;
292 double P_13_7_Deriv (
const double x)
const;
293 double P_13_8 (
const double x)
const;
294 double P_13_8_Deriv (
const double x)
const;
295 double P_13_9 (
const double x)
const;
296 double P_13_9_Deriv (
const double x)
const;
297 double P_13_10 (
const double x)
const;
298 double P_13_10_Deriv (
const double x)
const;
299 double P_13_11 (
const double x)
const;
300 double P_13_11_Deriv (
const double x)
const;
301 double P_13_12 (
const double x)
const;
302 double P_13_12_Deriv (
const double x)
const;
303 double P_13_13 (
const double x)
const;
304 double P_13_13_Deriv (
const double x)
const;
305 double P_14_0 (
const double x)
const;
306 double P_14_0_Deriv (
const double x)
const;
307 double P_14_1 (
const double x)
const;
308 double P_14_1_Deriv (
const double x)
const;
309 double P_14_2 (
const double x)
const;
310 double P_14_2_Deriv (
const double x)
const;
311 double P_14_3 (
const double x)
const;
312 double P_14_3_Deriv (
const double x)
const;
313 double P_14_4 (
const double x)
const;
314 double P_14_4_Deriv (
const double x)
const;
315 double P_14_5 (
const double x)
const;
316 double P_14_5_Deriv (
const double x)
const;
317 double P_14_6 (
const double x)
const;
318 double P_14_6_Deriv (
const double x)
const;
319 double P_14_7 (
const double x)
const;
320 double P_14_7_Deriv (
const double x)
const;
321 double P_14_8 (
const double x)
const;
322 double P_14_8_Deriv (
const double x)
const;
323 double P_14_9 (
const double x)
const;
324 double P_14_9_Deriv (
const double x)
const;
325 double P_14_10 (
const double x)
const;
326 double P_14_10_Deriv (
const double x)
const;
327 double P_14_11 (
const double x)
const;
328 double P_14_11_Deriv (
const double x)
const;
329 double P_14_12 (
const double x)
const;
330 double P_14_12_Deriv (
const double x)
const;
331 double P_14_13 (
const double x)
const;
332 double P_14_13_Deriv (
const double x)
const;
333 double P_14_14 (
const double x)
const;
334 double P_14_14_Deriv (
const double x)
const;
335 double P_15_0 (
const double x)
const;
336 double P_15_0_Deriv (
const double x)
const;
337 double P_15_1 (
const double x)
const;
338 double P_15_1_Deriv (
const double x)
const;
339 double P_15_2 (
const double x)
const;
340 double P_15_2_Deriv (
const double x)
const;
341 double P_15_3 (
const double x)
const;
342 double P_15_3_Deriv (
const double x)
const;
343 double P_15_4 (
const double x)
const;
344 double P_15_4_Deriv (
const double x)
const;
345 double P_15_5 (
const double x)
const;
346 double P_15_5_Deriv (
const double x)
const;
347 double P_15_6 (
const double x)
const;
348 double P_15_6_Deriv (
const double x)
const;
349 double P_15_7 (
const double x)
const;
350 double P_15_7_Deriv (
const double x)
const;
351 double P_15_8 (
const double x)
const;
352 double P_15_8_Deriv (
const double x)
const;
353 double P_15_9 (
const double x)
const;
354 double P_15_9_Deriv (
const double x)
const;
355 double P_15_10 (
const double x)
const;
356 double P_15_10_Deriv (
const double x)
const;
357 double P_15_11 (
const double x)
const;
358 double P_15_11_Deriv (
const double x)
const;
359 double P_15_12 (
const double x)
const;
360 double P_15_12_Deriv (
const double x)
const;
361 double P_15_13 (
const double x)
const;
362 double P_15_13_Deriv (
const double x)
const;
363 double P_15_14 (
const double x)
const;
364 double P_15_14_Deriv (
const double x)
const;
365 double P_15_15 (
const double x)
const;
366 double P_15_15_Deriv (
const double x)
const;
367 double P_16_0 (
const double x)
const;
368 double P_16_0_Deriv (
const double x)
const;
369 double P_16_1 (
const double x)
const;
370 double P_16_1_Deriv (
const double x)
const;
371 double P_16_2 (
const double x)
const;
372 double P_16_2_Deriv (
const double x)
const;
373 double P_16_3 (
const double x)
const;
374 double P_16_3_Deriv (
const double x)
const;
375 double P_16_4 (
const double x)
const;
376 double P_16_4_Deriv (
const double x)
const;
377 double P_16_5 (
const double x)
const;
378 double P_16_5_Deriv (
const double x)
const;
379 double P_16_6 (
const double x)
const;
380 double P_16_6_Deriv (
const double x)
const;
381 double P_16_7 (
const double x)
const;
382 double P_16_7_Deriv (
const double x)
const;
383 double P_16_8 (
const double x)
const;
384 double P_16_8_Deriv (
const double x)
const;
385 double P_16_9 (
const double x)
const;
386 double P_16_9_Deriv (
const double x)
const;
387 double P_16_10 (
const double x)
const;
388 double P_16_10_Deriv (
const double x)
const;
389 double P_16_11 (
const double x)
const;
390 double P_16_11_Deriv (
const double x)
const;
391 double P_16_12 (
const double x)
const;
392 double P_16_12_Deriv (
const double x)
const;
393 double P_16_13 (
const double x)
const;
394 double P_16_13_Deriv (
const double x)
const;
395 double P_16_14 (
const double x)
const;
396 double P_16_14_Deriv (
const double x)
const;
397 double P_16_15 (
const double x)
const;
398 double P_16_15_Deriv (
const double x)
const;
399 double P_16_16 (
const double x)
const;
400 double P_16_16_Deriv (
const double x)
const;
401 double P_17_0 (
const double x)
const;
402 double P_17_0_Deriv (
const double x)
const;
403 double P_17_1 (
const double x)
const;
404 double P_17_1_Deriv (
const double x)
const;
405 double P_17_2 (
const double x)
const;
406 double P_17_2_Deriv (
const double x)
const;
407 double P_17_3 (
const double x)
const;
408 double P_17_3_Deriv (
const double x)
const;
409 double P_17_4 (
const double x)
const;
410 double P_17_4_Deriv (
const double x)
const;
411 double P_17_5 (
const double x)
const;
412 double P_17_5_Deriv (
const double x)
const;
413 double P_17_6 (
const double x)
const;
414 double P_17_6_Deriv (
const double x)
const;
415 double P_17_7 (
const double x)
const;
416 double P_17_7_Deriv (
const double x)
const;
417 double P_17_8 (
const double x)
const;
418 double P_17_8_Deriv (
const double x)
const;
419 double P_17_9 (
const double x)
const;
420 double P_17_9_Deriv (
const double x)
const;
421 double P_17_10 (
const double x)
const;
422 double P_17_10_Deriv (
const double x)
const;
423 double P_17_11 (
const double x)
const;
424 double P_17_11_Deriv (
const double x)
const;
425 double P_17_12 (
const double x)
const;
426 double P_17_12_Deriv (
const double x)
const;
427 double P_17_13 (
const double x)
const;
428 double P_17_13_Deriv (
const double x)
const;
429 double P_17_14 (
const double x)
const;
430 double P_17_14_Deriv (
const double x)
const;
431 double P_17_15 (
const double x)
const;
432 double P_17_15_Deriv (
const double x)
const;
433 double P_17_16 (
const double x)
const;
434 double P_17_16_Deriv (
const double x)
const;
435 double P_17_17 (
const double x)
const;
436 double P_17_17_Deriv (
const double x)
const;
437 double P_18_0 (
const double x)
const;
438 double P_18_0_Deriv (
const double x)
const;
439 double P_18_1 (
const double x)
const;
440 double P_18_1_Deriv (
const double x)
const;
441 double P_18_2 (
const double x)
const;
442 double P_18_2_Deriv (
const double x)
const;
443 double P_18_3 (
const double x)
const;
444 double P_18_3_Deriv (
const double x)
const;
445 double P_18_4 (
const double x)
const;
446 double P_18_4_Deriv (
const double x)
const;
447 double P_18_5 (
const double x)
const;
448 double P_18_5_Deriv (
const double x)
const;
449 double P_18_6 (
const double x)
const;
450 double P_18_6_Deriv (
const double x)
const;
451 double P_18_7 (
const double x)
const;
452 double P_18_7_Deriv (
const double x)
const;
453 double P_18_8 (
const double x)
const;
454 double P_18_8_Deriv (
const double x)
const;
455 double P_18_9 (
const double x)
const;
456 double P_18_9_Deriv (
const double x)
const;
457 double P_18_10 (
const double x)
const;
458 double P_18_10_Deriv (
const double x)
const;
459 double P_18_11 (
const double x)
const;
460 double P_18_11_Deriv (
const double x)
const;
461 double P_18_12 (
const double x)
const;
462 double P_18_12_Deriv (
const double x)
const;
463 double P_18_13 (
const double x)
const;
464 double P_18_13_Deriv (
const double x)
const;
465 double P_18_14 (
const double x)
const;
466 double P_18_14_Deriv (
const double x)
const;
467 double P_18_15 (
const double x)
const;
468 double P_18_15_Deriv (
const double x)
const;
469 double P_18_16 (
const double x)
const;
470 double P_18_16_Deriv (
const double x)
const;
471 double P_18_17 (
const double x)
const;
472 double P_18_17_Deriv (
const double x)
const;
473 double P_18_18 (
const double x)
const;
474 double P_18_18_Deriv (
const double x)
const;
475 double P_19_0 (
const double x)
const;
476 double P_19_0_Deriv (
const double x)
const;
477 double P_19_1 (
const double x)
const;
478 double P_19_1_Deriv (
const double x)
const;
479 double P_19_2 (
const double x)
const;
480 double P_19_2_Deriv (
const double x)
const;
481 double P_19_3 (
const double x)
const;
482 double P_19_3_Deriv (
const double x)
const;
483 double P_19_4 (
const double x)
const;
484 double P_19_4_Deriv (
const double x)
const;
485 double P_19_5 (
const double x)
const;
486 double P_19_5_Deriv (
const double x)
const;
487 double P_19_6 (
const double x)
const;
488 double P_19_6_Deriv (
const double x)
const;
489 double P_19_7 (
const double x)
const;
490 double P_19_7_Deriv (
const double x)
const;
491 double P_19_8 (
const double x)
const;
492 double P_19_8_Deriv (
const double x)
const;
493 double P_19_9 (
const double x)
const;
494 double P_19_9_Deriv (
const double x)
const;
495 double P_19_10 (
const double x)
const;
496 double P_19_10_Deriv (
const double x)
const;
497 double P_19_11 (
const double x)
const;
498 double P_19_11_Deriv (
const double x)
const;
499 double P_19_12 (
const double x)
const;
500 double P_19_12_Deriv (
const double x)
const;
501 double P_19_13 (
const double x)
const;
502 double P_19_13_Deriv (
const double x)
const;
503 double P_19_14 (
const double x)
const;
504 double P_19_14_Deriv (
const double x)
const;
505 double P_19_15 (
const double x)
const;
506 double P_19_15_Deriv (
const double x)
const;
507 double P_19_16 (
const double x)
const;
508 double P_19_16_Deriv (
const double x)
const;
509 double P_19_17 (
const double x)
const;
510 double P_19_17_Deriv (
const double x)
const;
511 double P_19_18 (
const double x)
const;
512 double P_19_18_Deriv (
const double x)
const;
513 double P_19_19 (
const double x)
const;
514 double P_19_19_Deriv (
const double x)
const;
515 double P_20_0 (
const double x)
const;
516 double P_20_0_Deriv (
const double x)
const;
517 double P_20_1 (
const double x)
const;
518 double P_20_1_Deriv (
const double x)
const;
519 double P_20_2 (
const double x)
const;
520 double P_20_2_Deriv (
const double x)
const;
521 double P_20_3 (
const double x)
const;
522 double P_20_3_Deriv (
const double x)
const;
523 double P_20_4 (
const double x)
const;
524 double P_20_4_Deriv (
const double x)
const;
525 double P_20_5 (
const double x)
const;
526 double P_20_5_Deriv (
const double x)
const;
527 double P_20_6 (
const double x)
const;
528 double P_20_6_Deriv (
const double x)
const;
529 double P_20_7 (
const double x)
const;
530 double P_20_7_Deriv (
const double x)
const;
531 double P_20_8 (
const double x)
const;
532 double P_20_8_Deriv (
const double x)
const;
533 double P_20_9 (
const double x)
const;
534 double P_20_9_Deriv (
const double x)
const;
535 double P_20_10 (
const double x)
const;
536 double P_20_10_Deriv (
const double x)
const;
537 double P_20_11 (
const double x)
const;
538 double P_20_11_Deriv (
const double x)
const;
539 double P_20_12 (
const double x)
const;
540 double P_20_12_Deriv (
const double x)
const;
541 double P_20_13 (
const double x)
const;
542 double P_20_13_Deriv (
const double x)
const;
543 double P_20_14 (
const double x)
const;
544 double P_20_14_Deriv (
const double x)
const;
545 double P_20_15 (
const double x)
const;
546 double P_20_15_Deriv (
const double x)
const;
547 double P_20_16 (
const double x)
const;
548 double P_20_16_Deriv (
const double x)
const;
549 double P_20_17 (
const double x)
const;
550 double P_20_17_Deriv (
const double x)
const;
551 double P_20_18 (
const double x)
const;
552 double P_20_18_Deriv (
const double x)
const;
553 double P_20_19 (
const double x)
const;
554 double P_20_19_Deriv (
const double x)
const;
555 double P_20_20 (
const double x)
const;
556 double P_20_20_Deriv (
const double x)
const;
std::vector< std::vector< double(AssLegFunction::*)(const double) const > > leg_der_pointers
std::vector< std::vector< double(AssLegFunction::*)(const double) const > > leg_pointers