Xmipp  v3.23.11-Nereus
kernel.h
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1 #ifndef _BILIBKERNEL
2 #define _BILIBKERNEL
3 
6 /*--------------------------------------------------------------------------*/
9 extern int Blip
10  (
11  long Degree, /* degree */
12  double Argument, /* input */
13  double *Result /* output */
14  );
15 
16 /*--------------------------------------------------------------------------*/
19 extern double Blip00
20  (
21  double Argument /* input */
22  );
23 
24 /*--------------------------------------------------------------------------*/
27 extern double Blip01
28  (
29  double Argument /* input */
30  );
31 
32 /*--------------------------------------------------------------------------*/
33 /* Returns the value of a Blu interpolant function of degree 3 (order 4)
34  evaluated at Argument */
35 extern double Blip03
36  (
37  double Argument /* input */
38  );
39 
40 /*--------------------------------------------------------------------------*/
43 extern int Bspline
44  (
45  long Degree, /* degree */
46  double Argument, /* input */
47  double *Result /* output */
48  );
49 
50 /*--------------------------------------------------------------------------*/
53 extern double Bspline00
54  (
55  double Argument /* input */
56  );
57 
58 /*--------------------------------------------------------------------------*/
61 extern double Bspline01
62  (
63  double Argument /* input */
64  );
65 
66 /*--------------------------------------------------------------------------*/
69 extern double Bspline02
70  (
71  double Argument /* input */
72  );
73 
74 /*--------------------------------------------------------------------------*/
77 extern double Bspline03
78  (
79  double Argument /* input */
80  );
81 
83 #define BSPLINE03(y,x) \
84 {\
85  double Argument = fabs(x);\
86  if (Argument < 1.0)\
87  y=Argument * Argument * (Argument - 2.0) * 0.5 + 2.0 / 3.0;\
88  else if (Argument < 2.0)\
89  {\
90  Argument -= 2.0; \
91  y=Argument * Argument * Argument * (-1.0 / 6.0);\
92  } \
93  else\
94  y=0.0;\
95 }
96 
97 /*--------------------------------------------------------------------------*/
100 extern double Bspline04
101  (
102  double Argument /* input */
103  );
104 
105 /*--------------------------------------------------------------------------*/
108 extern double Bspline05
109  (
110  double Argument /* input */
111  );
112 
113 /*--------------------------------------------------------------------------*/
116 extern double Bspline06
117  (
118  double Argument /* input */
119  );
120 
121 /*--------------------------------------------------------------------------*/
124 extern double Bspline07
125  (
126  double Argument /* input */
127  );
128 
129 /*--------------------------------------------------------------------------*/
132 extern double Bspline08
133  (
134  double Argument /* input */
135  );
136 
137 /*--------------------------------------------------------------------------*/
140 extern double Bspline09
141  (
142  double Argument /* input */
143  );
144 
145 /*--------------------------------------------------------------------------*/
148 extern double Bspline10
149  (
150  double Argument /* input */
151  );
152 
153 /*--------------------------------------------------------------------------*/
156 extern double Bspline11
157  (
158  double Argument /* input */
159  );
160 
161 /*--------------------------------------------------------------------------*/
168 extern int BsplineArray02
169  (
170  double Argument, /* fractional input */
171  double *b2_minus1, /* 1st returned coefficient */
172  double *b2_plus0, /* 2nd returned coefficient */
173  double *b2_plus1 /* 3rd returned coefficient */
174  );
175 
176 /*--------------------------------------------------------------------------*/
184 extern int BsplineArray03
185  (
186  double Argument, /* fractional input */
187  double *b3_minus2, /* 1st returned coefficient */
188  double *b3_minus1, /* 2nd returned coefficient */
189  double *b3_plus0, /* 3rd returned coefficient */
190  double *b3_plus1 /* 4th returned coefficient */
191  );
192 
193 /*--------------------------------------------------------------------------*/
195 extern double Dodgson
196  (
197  double Argument /* input */
198  );
199 
200 /*--------------------------------------------------------------------------*/
208 extern int DodgsonArray
209  (
210  double Argument, /* fractional input */
211  double *d_minus1, /* 1st returned coefficient */
212  double *d_plus0, /* 2nd returned coefficient */
213  double *d_plus1 /* 3rd returned coefficient */
214  );
215 
216 /*--------------------------------------------------------------------------*/
219 extern double German04
220  (
221  double Argument /* input */
222  );
223 
224 /*--------------------------------------------------------------------------*/
226 extern double Keys
227  (
228  double Argument, /* input */
229  double a /* tuning parameter */
230  );
231 
232 /*--------------------------------------------------------------------------*/
235 extern double KeysOptimal
236  (
237  double Argument /* input */
238  );
239 
240 /*--------------------------------------------------------------------------*/
248 extern int KeysOptimalArray
249  (
250  double Argument, /* fractional input */
251  double *k3_minus2, /* 1st returned coefficient */
252  double *k3_minus1, /* 2nd returned coefficient */
253  double *k3_plus0, /* 3rd returned coefficient */
254  double *k3_plus1 /* 4th returned coefficient */
255  );
256 
257 /*--------------------------------------------------------------------------*/
260 extern double Meijering05
261  (
262  double Argument /* input */
263  );
264 
265 /*--------------------------------------------------------------------------*/
268 extern double Meijering07
269  (
270  double Argument /* input */
271  );
272 
273 /*--------------------------------------------------------------------------*/
276 extern int Omoms
277  (
278  long Degree, /* degree */
279  double Argument, /* input */
280  double *Result /* output */
281  );
282 
283 /*--------------------------------------------------------------------------*/
286 extern double Omoms00
287  (
288  double Argument /* input */
289  );
290 
291 /*--------------------------------------------------------------------------*/
294 extern double Omoms01
295  (
296  double Argument /* input */
297  );
298 
299 /*--------------------------------------------------------------------------*/
302 extern double Omoms02
303  (
304  double Argument /* input */
305  );
306 
307 /*--------------------------------------------------------------------------*/
310 extern double Omoms03
311  (
312  double Argument /* input */
313  );
314 
315 /*--------------------------------------------------------------------------*/
318 extern double Omoms04
319  (
320  double Argument /* input */
321  );
322 
323 /*--------------------------------------------------------------------------*/
326 extern double Omoms05
327  (
328  double Argument /* input */
329  );
330 
331 /*--------------------------------------------------------------------------*/
334 extern double Omoms06
335  (
336  double Argument /* input */
337  );
338 
339 /*--------------------------------------------------------------------------*/
342 extern double Omoms07
343  (
344  double Argument /* input */
345  );
346 
347 /*--------------------------------------------------------------------------*/
350 extern double Omoms08
351  (
352  double Argument /* input */
353  );
354 
355 /*--------------------------------------------------------------------------*/
358 extern double Omoms09
359  (
360  double Argument /* input */
361  );
362 
363 /*--------------------------------------------------------------------------*/
366 extern double Omoms10
367  (
368  double Argument /* input */
369  );
370 
371 /*--------------------------------------------------------------------------*/
374 extern double Omoms11
375  (
376  double Argument /* input */
377  );
378 
379 /*--------------------------------------------------------------------------*/
387 extern int OmomsArray03
388  (
389  double Argument, /* fractional input */
390  double *b3_minus2, /* 1st returned coefficient */
391  double *b3_minus1, /* 2nd returned coefficient */
392  double *b3_plus0, /* 3rd returned coefficient */
393  double *b3_plus1 /* 4th returned coefficient */
394  );
395 
396 /*--------------------------------------------------------------------------*/
399 extern double Positive
400  (
401  double Argument /* input */
402  );
403 
404 /*--------------------------------------------------------------------------*/
407 extern int Schaum
408  (
409  long Degree, /* degree */
410  double Argument, /* input */
411  double *Result /* output */
412  );
413 
414 /*--------------------------------------------------------------------------*/
416 extern double Schaum02
417  (
418  double Argument /* input */
419  );
420 
421 /*--------------------------------------------------------------------------*/
423 extern double Schaum03
424  (
425  double Argument /* input */
426  );
427 
428 /*--------------------------------------------------------------------------*/
430 extern double Schaum04
431  (
432  double Argument /* input */
433  );
434 
435 /*--------------------------------------------------------------------------*/
437 extern double Sinc
438  (
439  double Argument /* input */
440  );
442 #endif
KeysOptimalArray
int KeysOptimalArray(double Argument, double *k3_minus2, double *k3_minus1, double *k3_plus0, double *k3_plus1)
Omoms
int Omoms(long Degree, double Argument, double *Result)
Bspline05
double Bspline05(double Argument)
German04
double German04(double Argument)
Bspline01
double Bspline01(double Argument)
Omoms03
double Omoms03(double Argument)
Blip
int Blip(long Degree, double Argument, double *Result)
Bspline10
double Bspline10(double Argument)
Omoms04
double Omoms04(double Argument)
Schaum03
double Schaum03(double Argument)
BsplineArray02
int BsplineArray02(double Argument, double *b2_minus1, double *b2_plus0, double *b2_plus1)
Blip01
double Blip01(double Argument)
Blip03
double Blip03(double Argument)
Omoms02
double Omoms02(double Argument)
Schaum04
double Schaum04(double Argument)
Bspline04
double Bspline04(double Argument)
KeysOptimal
double KeysOptimal(double Argument)
Omoms09
double Omoms09(double Argument)
Bspline11
double Bspline11(double Argument)
OmomsArray03
int OmomsArray03(double Argument, double *b3_minus2, double *b3_minus1, double *b3_plus0, double *b3_plus1)
Bspline03
double Bspline03(double Argument)
Bspline07
double Bspline07(double Argument)
Bspline08
double Bspline08(double Argument)
Omoms07
double Omoms07(double Argument)
Omoms10
double Omoms10(double Argument)
Keys
double Keys(double Argument, double a)
Positive
double Positive(double Argument)
BsplineArray03
int BsplineArray03(double Argument, double *b3_minus2, double *b3_minus1, double *b3_plus0, double *b3_plus1)
Omoms00
double Omoms00(double Argument)
Blip00
double Blip00(double Argument)
Meijering05
double Meijering05(double Argument)
Omoms06
double Omoms06(double Argument)
Bspline
int Bspline(long Degree, double Argument, double *Result)
Schaum02
double Schaum02(double Argument)
Sinc
double Sinc(double Argument)
Bspline00
double Bspline00(double Argument)
Bspline02
double Bspline02(double Argument)
Meijering07
double Meijering07(double Argument)
Omoms11
double Omoms11(double Argument)
Omoms01
double Omoms01(double Argument)
Bspline09
double Bspline09(double Argument)
Schaum
int Schaum(long Degree, double Argument, double *Result)
Dodgson
double Dodgson(double Argument)
DodgsonArray
int DodgsonArray(double Argument, double *d_minus1, double *d_plus0, double *d_plus1)
Bspline06
double Bspline06(double Argument)
Omoms08
double Omoms08(double Argument)
a
doublereal * a
Definition: numerical_recipes.cpp:2230
Omoms05
double Omoms05(double Argument)
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