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973c2be1 | 1 | // Copyright (c) 1999-2014 OPEN CASCADE SAS |
7fd59977 | 2 | // |
973c2be1 | 3 | // This file is part of Open CASCADE Technology software library. |
b311480e | 4 | // |
d5f74e42 | 5 | // This library is free software; you can redistribute it and/or modify it under |
6 | // the terms of the GNU Lesser General Public License version 2.1 as published | |
973c2be1 | 7 | // by the Free Software Foundation, with special exception defined in the file |
8 | // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT | |
9 | // distribution for complete text of the license and disclaimer of any warranty. | |
7fd59977 | 10 | // |
973c2be1 | 11 | // Alternatively, this file may be used under the terms of Open CASCADE |
12 | // commercial license or contractual agreement. | |
b311480e | 13 | |
14 | // AdvApp2Var_ApproxF2var.cxx | |
7fd59977 | 15 | #include <math.h> |
16 | #include <AdvApp2Var_SysBase.hxx> | |
17 | #include <AdvApp2Var_MathBase.hxx> | |
18 | #include <AdvApp2Var_Data_f2c.hxx> | |
19 | #include <AdvApp2Var_Data.hxx> | |
20 | #include <AdvApp2Var_ApproxF2var.hxx> | |
21 | ||
22 | ||
23 | static | |
24 | int mmjacpt_(const integer *ndimen, | |
25 | const integer *ncoefu, | |
26 | const integer *ncoefv, | |
27 | const integer *iordru, | |
28 | const integer *iordrv, | |
29 | const doublereal *ptclgd, | |
30 | doublereal *ptcaux, | |
31 | doublereal *ptccan); | |
32 | ||
33 | ||
34 | ||
35 | static | |
36 | int mma2ce2_(integer *numdec, | |
37 | integer *ndimen, | |
38 | integer *nbsesp, | |
39 | integer *ndimse, | |
40 | integer *ndminu, | |
41 | integer *ndminv, | |
42 | integer *ndguli, | |
43 | integer *ndgvli, | |
44 | integer *ndjacu, | |
45 | integer *ndjacv, | |
46 | integer *iordru, | |
47 | integer *iordrv, | |
48 | integer *nbpntu, | |
49 | integer *nbpntv, | |
50 | doublereal *epsapr, | |
51 | doublereal *sosotb, | |
52 | doublereal *disotb, | |
53 | doublereal *soditb, | |
54 | doublereal *diditb, | |
55 | doublereal *gssutb, | |
56 | doublereal *gssvtb, | |
57 | doublereal *xmaxju, | |
58 | doublereal *xmaxjv, | |
59 | doublereal *vecerr, | |
60 | doublereal *chpair, | |
61 | doublereal *chimpr, | |
62 | doublereal *patjac, | |
63 | doublereal *errmax, | |
64 | doublereal *errmoy, | |
65 | integer *ndegpu, | |
66 | integer *ndegpv, | |
67 | integer *itydec, | |
68 | integer *iercod); | |
69 | ||
70 | static | |
71 | int mma2cfu_(integer *ndujac, | |
72 | integer *nbpntu, | |
73 | integer *nbpntv, | |
74 | doublereal *sosotb, | |
75 | doublereal *disotb, | |
76 | doublereal *soditb, | |
77 | doublereal *diditb, | |
78 | doublereal *gssutb, | |
79 | doublereal *chpair, | |
80 | doublereal *chimpr); | |
81 | ||
82 | static | |
83 | int mma2cfv_(integer *ndvjac, | |
84 | integer *mindgu, | |
85 | integer *maxdgu, | |
86 | integer *nbpntv, | |
87 | doublereal *gssvtb, | |
88 | doublereal *chpair, | |
89 | doublereal *chimpr, | |
90 | doublereal *patjac); | |
91 | ||
92 | static | |
93 | int mma2er1_(integer *ndjacu, | |
94 | integer *ndjacv, | |
95 | integer *ndimen, | |
96 | integer *mindgu, | |
97 | integer *maxdgu, | |
98 | integer *mindgv, | |
99 | integer *maxdgv, | |
100 | integer *iordru, | |
101 | integer *iordrv, | |
102 | doublereal *xmaxju, | |
103 | doublereal *xmaxjv, | |
104 | doublereal *patjac, | |
105 | doublereal *vecerr, | |
106 | doublereal *erreur); | |
107 | ||
108 | static | |
109 | int mma2er2_(integer *ndjacu, | |
110 | integer *ndjacv, | |
111 | integer *ndimen, | |
112 | integer *mindgu, | |
113 | integer *maxdgu, | |
114 | integer *mindgv, | |
115 | integer *maxdgv, | |
116 | integer *iordru, | |
117 | integer *iordrv, | |
118 | doublereal *xmaxju, | |
119 | doublereal *xmaxjv, | |
120 | doublereal *patjac, | |
121 | doublereal *epmscut, | |
122 | doublereal *vecerr, | |
123 | doublereal *erreur, | |
124 | integer *newdgu, | |
125 | integer *newdgv); | |
126 | ||
127 | static | |
128 | int mma2moy_(integer *ndgumx, | |
129 | integer *ndgvmx, | |
130 | integer *ndimen, | |
131 | integer *mindgu, | |
132 | integer *maxdgu, | |
133 | integer *mindgv, | |
134 | integer *maxdgv, | |
135 | integer *iordru, | |
136 | integer *iordrv, | |
137 | doublereal *patjac, | |
138 | doublereal *errmoy); | |
139 | ||
140 | static | |
141 | int mma2ds2_(integer *ndimen, | |
142 | doublereal *uintfn, | |
143 | doublereal *vintfn, | |
41194117 | 144 | const AdvApp2Var_EvaluatorFunc2Var& foncnp, |
7fd59977 | 145 | integer *nbpntu, |
146 | integer *nbpntv, | |
147 | doublereal *urootb, | |
148 | doublereal *vrootb, | |
149 | integer *iiuouv, | |
150 | doublereal *sosotb, | |
151 | doublereal *disotb, | |
152 | doublereal *soditb, | |
153 | doublereal *diditb, | |
154 | doublereal *fpntab, | |
155 | doublereal *ttable, | |
156 | integer *iercod); | |
157 | ||
158 | ||
159 | ||
160 | ||
161 | static | |
162 | int mma1fdi_(integer *ndimen, | |
163 | doublereal *uvfonc, | |
41194117 | 164 | const AdvApp2Var_EvaluatorFunc2Var& foncnp, |
7fd59977 | 165 | integer *isofav, |
166 | doublereal *tconst, | |
167 | integer *nbroot, | |
168 | doublereal *ttable, | |
169 | integer *iordre, | |
170 | integer *ideriv, | |
171 | doublereal *fpntab, | |
172 | doublereal *somtab, | |
173 | doublereal *diftab, | |
174 | doublereal *contr1, | |
175 | doublereal *contr2, | |
176 | integer *iercod); | |
177 | ||
178 | static | |
179 | int mma1cdi_(integer *ndimen, | |
180 | integer *nbroot, | |
181 | doublereal *rootlg, | |
182 | integer *iordre, | |
183 | doublereal *contr1, | |
184 | doublereal *contr2, | |
185 | doublereal *somtab, | |
186 | doublereal *diftab, | |
187 | doublereal *fpntab, | |
188 | doublereal *hermit, | |
189 | integer *iercod); | |
190 | static | |
191 | int mma1jak_(integer *ndimen, | |
192 | integer *nbroot, | |
193 | integer *iordre, | |
194 | integer *ndgjac, | |
195 | doublereal *somtab, | |
196 | doublereal *diftab, | |
197 | doublereal *cgauss, | |
198 | doublereal *crvjac, | |
199 | integer *iercod); | |
200 | static | |
201 | int mma1cnt_(integer *ndimen, | |
202 | integer *iordre, | |
203 | doublereal *contr1, | |
204 | doublereal *contr2, | |
205 | doublereal *hermit, | |
206 | integer *ndgjac, | |
207 | doublereal *crvjac); | |
208 | ||
209 | static | |
210 | int mma1fer_(integer *ndimen, | |
211 | integer *nbsesp, | |
212 | integer *ndimse, | |
213 | integer *iordre, | |
214 | integer *ndgjac, | |
215 | doublereal *crvjac, | |
216 | integer *ncflim, | |
217 | doublereal *epsapr, | |
218 | doublereal *ycvmax, | |
219 | doublereal *errmax, | |
220 | doublereal *errmoy, | |
221 | integer *ncoeff, | |
222 | integer *iercod); | |
223 | ||
224 | static | |
225 | int mma1noc_(doublereal *dfuvin, | |
226 | integer *ndimen, | |
227 | integer *iordre, | |
228 | doublereal *cntrin, | |
229 | doublereal *duvout, | |
230 | integer *isofav, | |
231 | integer *ideriv, | |
232 | doublereal *cntout); | |
233 | ||
234 | ||
235 | static | |
236 | int mmmapcoe_(integer *ndim, | |
237 | integer *ndgjac, | |
238 | integer *iordre, | |
239 | integer *nbpnts, | |
240 | doublereal *somtab, | |
241 | doublereal *diftab, | |
242 | doublereal *gsstab, | |
243 | doublereal *crvjac); | |
244 | ||
245 | static | |
246 | int mmaperm_(integer *ncofmx, | |
247 | integer *ndim, | |
248 | integer *ncoeff, | |
249 | integer *iordre, | |
250 | doublereal *crvjac, | |
251 | integer *ncfnew, | |
252 | doublereal *errmoy); | |
253 | ||
254 | ||
255 | #define mmapgss_1 mmapgss_ | |
256 | #define mmapgs0_1 mmapgs0_ | |
257 | #define mmapgs1_1 mmapgs1_ | |
258 | #define mmapgs2_1 mmapgs2_ | |
259 | ||
260 | //======================================================================= | |
261 | //function : mma1cdi_ | |
262 | //purpose : | |
263 | //======================================================================= | |
264 | int mma1cdi_(integer *ndimen, | |
265 | integer *nbroot, | |
266 | doublereal *rootlg, | |
267 | integer *iordre, | |
268 | doublereal *contr1, | |
269 | doublereal *contr2, | |
270 | doublereal *somtab, | |
271 | doublereal *diftab, | |
272 | doublereal *fpntab, | |
273 | doublereal *hermit, | |
274 | integer *iercod) | |
275 | { | |
1ef32e96 | 276 | integer c__1 = 1; |
7fd59977 | 277 | |
278 | /* System generated locals */ | |
279 | integer contr1_dim1, contr1_offset, contr2_dim1, contr2_offset, | |
280 | somtab_dim1, somtab_offset, diftab_dim1, diftab_offset, | |
281 | fpntab_dim1, fpntab_offset, hermit_dim1, hermit_offset, i__1, | |
282 | i__2, i__3; | |
41194117 | 283 | |
7fd59977 | 284 | /* Local variables */ |
1ef32e96 RL |
285 | integer nroo2, ncfhe, nd, ii, kk; |
286 | integer ibb, kkm, kkp; | |
1d47d8d0 | 287 | doublereal bid1, bid2, bid3 = 0.; |
7fd59977 | 288 | |
7fd59977 | 289 | /* ********************************************************************** |
290 | */ | |
0d969553 | 291 | /* FUNCTION : */ |
7fd59977 | 292 | /* ---------- */ |
0d969553 Y |
293 | /* Discretisation on the parameters of interpolation polynomes */ |
294 | /* constraints of order IORDRE. */ | |
7fd59977 | 295 | |
0d969553 | 296 | /* KEYWORDS : */ |
7fd59977 | 297 | /* ----------- */ |
0d969553 | 298 | /* ALL, AB_SPECIFI::CONTRAINTE&, DISCRETISATION, &POINT */ |
7fd59977 | 299 | |
0d969553 | 300 | /* INPUT ARGUMENTS : */ |
7fd59977 | 301 | /* ------------------ */ |
0d969553 Y |
302 | /* NDIMEN: Space dimension. */ |
303 | /* NBROOT: Number of INTERNAL discretisation parameters. */ | |
304 | /* It is also the root number Legendre polynome where */ | |
305 | /* the discretization is performed. */ | |
306 | /* ROOTLG: Table of discretization parameters ON (-1,1). */ | |
307 | /* IORDRE: Order of constraint imposed to the extremities of the iso. */ | |
308 | /* = 0, the extremities of the iso are calculated */ | |
309 | /* = 1, additionally, the 1st derivative in the direction */ | |
310 | /* of the iso is calculated. */ | |
311 | /* = 2, additionally, the 2nd derivative in the direction */ | |
312 | /* of the iso is calculated. */ | |
313 | /* CONTR1: Contains, if IORDRE>=0, values IORDRE+1 in TTABLE(0) | |
314 | */ | |
315 | /* (1st extremity) of derivatives of F(Uc,Ve) or F(Ue,Vc), */ | |
316 | /* see below. */ | |
317 | /* CONTR2: Contains, if IORDRE>=0, values IORDRE+1 in */ | |
318 | /* TTABLE(NBROOT+1) (2nd extremity) of: */ | |
319 | /* If ISOFAV=1, derived of order IDERIV by U, derived */ | |
320 | /* ordre 0 to IORDRE by V of F(Uc,Ve) or Uc=TCONST */ | |
321 | /* (fixed iso value) and Ve is the fixed extremity. */ | |
322 | /* If ISOFAV=2, derivative of order IDERIV by V, derivative */ | |
323 | /* of order 0 to IORDRE by U of F(Ue,Vc) or Vc=TCONST */ | |
324 | /* (fixed iso value) and Ue is the fixed extremity. */ | |
325 | ||
326 | /* SOMTAB: Table of NBROOT/2 sums of 2 index points */ | |
327 | /* NBROOT-II+1 and II, for II = 1, NBROOT/2. */ | |
328 | /* DIFTAB: Table of NBROOT/2 differences of 2 index points */ | |
329 | /* NBROOT-II+1 and II, for II = 1, NBROOT/2. */ | |
330 | ||
331 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 332 | /* ------------------- */ |
0d969553 Y |
333 | /* SOMTAB: Table of NBROOT/2 sums of 2 index points */ |
334 | /* NBROOT-II+1 and II, for II = 1, NBROOT/2 */ | |
335 | /* DIFTAB: Table of NBROOT/2 differences of 2 index points */ | |
336 | /* NBROOT-II+1 and II, for II = 1, NBROOT/2 */ | |
337 | /* FPNTAB: Auxiliary table. */ | |
338 | /* HERMIT: Table of coeff. 2*(IORDRE+1) Hermite polynoms */ | |
339 | /* of degree 2*IORDRE+1. */ | |
340 | /* IERCOD: Error code, */ | |
341 | /* = 0, Everythig is OK */ | |
342 | /* = 1, The value of IORDRE is out of (0,2) */ | |
343 | /* COMMON USED : */ | |
7fd59977 | 344 | /* ---------------- */ |
345 | ||
0d969553 | 346 | /* REFERENCES CALLED : */ |
7fd59977 | 347 | /* ----------------------- */ |
348 | ||
0d969553 | 349 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 350 | /* ----------------------------------- */ |
0d969553 Y |
351 | /* The results of discretization are arranged in 2 tables */ |
352 | /* SOMTAB and DIFTAB to earn time during the */ | |
353 | /* calculation of coefficients of the approximation curve. */ | |
7fd59977 | 354 | |
0d969553 Y |
355 | /* If NBROOT is uneven in SOMTAB(0,*) and DIFTAB(0,*) one stores */ |
356 | /* the values of the median root of Legendre (0.D0 in (-1,1)). */ | |
7fd59977 | 357 | |
7fd59977 | 358 | /* ********************************************************************** |
359 | */ | |
360 | ||
0d969553 | 361 | /* Name of the routine */ |
7fd59977 | 362 | |
363 | ||
364 | /* Parameter adjustments */ | |
365 | diftab_dim1 = *nbroot / 2 + 1; | |
366 | diftab_offset = diftab_dim1; | |
367 | diftab -= diftab_offset; | |
368 | somtab_dim1 = *nbroot / 2 + 1; | |
369 | somtab_offset = somtab_dim1; | |
370 | somtab -= somtab_offset; | |
371 | --rootlg; | |
372 | hermit_dim1 = (*iordre << 1) + 2; | |
373 | hermit_offset = hermit_dim1; | |
374 | hermit -= hermit_offset; | |
375 | fpntab_dim1 = *nbroot; | |
376 | fpntab_offset = fpntab_dim1 + 1; | |
377 | fpntab -= fpntab_offset; | |
378 | contr2_dim1 = *ndimen; | |
379 | contr2_offset = contr2_dim1 + 1; | |
380 | contr2 -= contr2_offset; | |
381 | contr1_dim1 = *ndimen; | |
382 | contr1_offset = contr1_dim1 + 1; | |
383 | contr1 -= contr1_offset; | |
384 | ||
385 | /* Function Body */ | |
386 | ibb = AdvApp2Var_SysBase::mnfndeb_(); | |
387 | if (ibb >= 3) { | |
388 | AdvApp2Var_SysBase::mgenmsg_("MMA1CDI", 7L); | |
389 | } | |
390 | *iercod = 0; | |
391 | ||
0d969553 | 392 | /* --- Recuperate 2*(IORDRE+1) coeff of 2*(IORDRE+1) of Hermite polynom --- |
7fd59977 | 393 | */ |
394 | ||
395 | AdvApp2Var_ApproxF2var::mma1her_(iordre, &hermit[hermit_offset], iercod); | |
396 | if (*iercod > 0) { | |
397 | goto L9100; | |
398 | } | |
399 | ||
0d969553 | 400 | /* ------------------- Discretization of Hermite polynoms ----------- |
7fd59977 | 401 | */ |
402 | ||
403 | ncfhe = (*iordre + 1) << 1; | |
404 | i__1 = ncfhe; | |
405 | for (ii = 1; ii <= i__1; ++ii) { | |
406 | i__2 = *nbroot; | |
407 | for (kk = 1; kk <= i__2; ++kk) { | |
408 | AdvApp2Var_MathBase::mmmpocur_(&ncfhe, &c__1, &ncfhe, &hermit[ii * hermit_dim1], & | |
409 | rootlg[kk], &fpntab[kk + ii * fpntab_dim1]); | |
410 | /* L200: */ | |
411 | } | |
412 | /* L100: */ | |
413 | } | |
414 | ||
0d969553 | 415 | /* ---- Discretizations of boundary polynoms are taken ---- |
7fd59977 | 416 | */ |
417 | ||
418 | nroo2 = *nbroot / 2; | |
419 | i__1 = *ndimen; | |
420 | for (nd = 1; nd <= i__1; ++nd) { | |
421 | i__2 = *iordre + 1; | |
422 | for (ii = 1; ii <= i__2; ++ii) { | |
423 | bid1 = contr1[nd + ii * contr1_dim1]; | |
424 | bid2 = contr2[nd + ii * contr2_dim1]; | |
425 | i__3 = nroo2; | |
426 | for (kk = 1; kk <= i__3; ++kk) { | |
427 | kkm = nroo2 - kk + 1; | |
428 | bid3 = bid1 * fpntab[kkm + ((ii << 1) - 1) * fpntab_dim1] + | |
429 | bid2 * fpntab[kkm + (ii << 1) * fpntab_dim1]; | |
430 | somtab[kk + nd * somtab_dim1] -= bid3; | |
431 | diftab[kk + nd * diftab_dim1] += bid3; | |
432 | /* L500: */ | |
433 | } | |
434 | i__3 = nroo2; | |
435 | for (kk = 1; kk <= i__3; ++kk) { | |
436 | kkp = (*nbroot + 1) / 2 + kk; | |
437 | bid3 = bid1 * fpntab[kkp + ((ii << 1) - 1) * fpntab_dim1] + | |
438 | bid2 * fpntab[kkp + (ii << 1) * fpntab_dim1]; | |
439 | somtab[kk + nd * somtab_dim1] -= bid3; | |
440 | diftab[kk + nd * diftab_dim1] -= bid3; | |
441 | /* L600: */ | |
442 | } | |
443 | /* L400: */ | |
444 | } | |
445 | /* L300: */ | |
446 | } | |
447 | ||
0d969553 | 448 | /* ------------ Cas when discretization is done on the roots of a ----------- |
7fd59977 | 449 | */ |
0d969553 | 450 | /* ---------- Legendre polynom of uneven degree, 0 is root -------- |
7fd59977 | 451 | */ |
452 | ||
453 | if (*nbroot % 2 == 1) { | |
454 | i__1 = *ndimen; | |
455 | for (nd = 1; nd <= i__1; ++nd) { | |
456 | i__2 = *iordre + 1; | |
457 | for (ii = 1; ii <= i__2; ++ii) { | |
458 | bid3 = fpntab[nroo2 + 1 + ((ii << 1) - 1) * fpntab_dim1] * | |
459 | contr1[nd + ii * contr1_dim1] + fpntab[nroo2 + 1 + ( | |
460 | ii << 1) * fpntab_dim1] * contr2[nd + ii * | |
461 | contr2_dim1]; | |
462 | /* L800: */ | |
463 | } | |
464 | somtab[nd * somtab_dim1] -= bid3; | |
465 | diftab[nd * diftab_dim1] -= bid3; | |
466 | /* L700: */ | |
467 | } | |
468 | } | |
469 | ||
470 | goto L9999; | |
471 | ||
472 | /* ------------------------------ The End ------------------------------- | |
473 | */ | |
0d969553 | 474 | /* --> IORDRE is not in the authorized zone. */ |
7fd59977 | 475 | L9100: |
476 | *iercod = 1; | |
477 | goto L9999; | |
478 | ||
479 | L9999: | |
480 | if (ibb >= 3) { | |
481 | AdvApp2Var_SysBase::mgsomsg_("MMA1CDI", 7L); | |
482 | } | |
483 | return 0; | |
484 | } /* mma1cdi_ */ | |
485 | ||
486 | //======================================================================= | |
487 | //function : mma1cnt_ | |
488 | //purpose : | |
489 | //======================================================================= | |
490 | int mma1cnt_(integer *ndimen, | |
491 | integer *iordre, | |
492 | doublereal *contr1, | |
493 | doublereal *contr2, | |
494 | doublereal *hermit, | |
495 | integer *ndgjac, | |
496 | doublereal *crvjac) | |
497 | { | |
498 | /* System generated locals */ | |
499 | integer contr1_dim1, contr1_offset, contr2_dim1, contr2_offset, | |
500 | hermit_dim1, hermit_offset, crvjac_dim1, crvjac_offset, i__1, | |
501 | i__2, i__3; | |
41194117 | 502 | |
7fd59977 | 503 | /* Local variables */ |
1ef32e96 RL |
504 | integer nd, ii, jj, ibb; |
505 | doublereal bid; | |
41194117 K |
506 | |
507 | ||
7fd59977 | 508 | /* *********************************************************************** |
509 | */ | |
510 | ||
0d969553 | 511 | /* FUNCTION : */ |
7fd59977 | 512 | /* ---------- */ |
0d969553 | 513 | /* Add constraint to polynom. */ |
7fd59977 | 514 | |
515 | /* MOTS CLES : */ | |
516 | /* ----------- */ | |
0d969553 | 517 | /* ALL,AB_SPECIFI::COURE&,APPROXIMATION,ADDITION,&CONSTRAINT */ |
7fd59977 | 518 | |
0d969553 | 519 | /* INPUT ARGUMENTS : */ |
7fd59977 | 520 | /* -------------------- */ |
0d969553 Y |
521 | /* NDIMEN: Dimension of the space */ |
522 | /* IORDRE: Order of constraint. */ | |
523 | /* CONTR1: pt of constraint in -1, from order 0 to IORDRE. */ | |
524 | /* CONTR2: Pt of constraint in +1, from order 0 to IORDRE. */ | |
525 | /* HERMIT: Table of Hermit polynoms of order IORDRE. */ | |
526 | /* CRVJAV: Curve of approximation in Jacobi base. */ | |
7fd59977 | 527 | |
0d969553 | 528 | /* OUTPUT ARGUMENTS : */ |
7fd59977 | 529 | /* --------------------- */ |
0d969553 Y |
530 | /* CRVJAV: Curve of approximation in Jacobi base */ |
531 | /* to which the polynom of interpolation of constraints is added. */ | |
7fd59977 | 532 | |
0d969553 | 533 | /* COMMON USED : */ |
7fd59977 | 534 | /* ------------------ */ |
535 | ||
536 | ||
0d969553 | 537 | /* REFERENCES CALLED : */ |
7fd59977 | 538 | /* --------------------- */ |
539 | ||
540 | ||
0d969553 | 541 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 542 | /* ----------------------------------- */ |
543 | ||
7fd59977 | 544 | /* > */ |
545 | /* *********************************************************************** | |
546 | */ | |
547 | /* DECLARATIONS */ | |
548 | /* *********************************************************************** | |
549 | */ | |
0d969553 | 550 | /* Name of the routine */ |
7fd59977 | 551 | |
552 | /* *********************************************************************** | |
553 | */ | |
554 | /* INITIALISATIONS */ | |
555 | /* *********************************************************************** | |
556 | */ | |
557 | ||
558 | /* Parameter adjustments */ | |
559 | hermit_dim1 = (*iordre << 1) + 2; | |
560 | hermit_offset = hermit_dim1; | |
561 | hermit -= hermit_offset; | |
562 | contr2_dim1 = *ndimen; | |
563 | contr2_offset = contr2_dim1 + 1; | |
564 | contr2 -= contr2_offset; | |
565 | contr1_dim1 = *ndimen; | |
566 | contr1_offset = contr1_dim1 + 1; | |
567 | contr1 -= contr1_offset; | |
568 | crvjac_dim1 = *ndgjac + 1; | |
569 | crvjac_offset = crvjac_dim1; | |
570 | crvjac -= crvjac_offset; | |
571 | ||
572 | /* Function Body */ | |
573 | ibb = AdvApp2Var_SysBase::mnfndeb_(); | |
574 | if (ibb >= 3) { | |
575 | AdvApp2Var_SysBase::mgenmsg_("MMA1CNT", 7L); | |
576 | } | |
577 | ||
578 | /* *********************************************************************** | |
579 | */ | |
0d969553 | 580 | /* Processing */ |
7fd59977 | 581 | /* *********************************************************************** |
582 | */ | |
583 | ||
584 | i__1 = *ndimen; | |
585 | for (nd = 1; nd <= i__1; ++nd) { | |
586 | i__2 = (*iordre << 1) + 1; | |
587 | for (ii = 0; ii <= i__2; ++ii) { | |
588 | bid = 0.; | |
589 | i__3 = *iordre + 1; | |
590 | for (jj = 1; jj <= i__3; ++jj) { | |
591 | bid = bid + contr1[nd + jj * contr1_dim1] * | |
592 | hermit[ii + ((jj << 1) - 1) * hermit_dim1] + | |
593 | contr2[nd + jj * contr2_dim1] * hermit[ii + (jj << 1) * hermit_dim1]; | |
594 | /* L300: */ | |
595 | } | |
596 | crvjac[ii + nd * crvjac_dim1] = bid; | |
597 | /* L200: */ | |
598 | } | |
599 | /* L100: */ | |
600 | } | |
601 | ||
602 | /* *********************************************************************** | |
603 | */ | |
0d969553 | 604 | /* RETURN CALLING PROGRAM */ |
7fd59977 | 605 | /* *********************************************************************** |
606 | */ | |
607 | ||
608 | if (ibb >= 3) { | |
609 | AdvApp2Var_SysBase::mgsomsg_("MMA1CNT", 7L); | |
610 | } | |
611 | ||
612 | return 0 ; | |
613 | } /* mma1cnt_ */ | |
614 | ||
615 | //======================================================================= | |
616 | //function : mma1fdi_ | |
617 | //purpose : | |
618 | //======================================================================= | |
619 | int mma1fdi_(integer *ndimen, | |
620 | doublereal *uvfonc, | |
41194117 | 621 | const AdvApp2Var_EvaluatorFunc2Var& foncnp, |
7fd59977 | 622 | integer *isofav, |
623 | doublereal *tconst, | |
624 | integer *nbroot, | |
625 | doublereal *ttable, | |
626 | integer *iordre, | |
627 | integer *ideriv, | |
628 | doublereal *fpntab, | |
629 | doublereal *somtab, | |
630 | doublereal *diftab, | |
631 | doublereal *contr1, | |
632 | doublereal *contr2, | |
633 | integer *iercod) | |
634 | { | |
635 | /* System generated locals */ | |
636 | integer fpntab_dim1, somtab_dim1, somtab_offset, diftab_dim1, | |
637 | diftab_offset, contr1_dim1, contr1_offset, contr2_dim1, | |
638 | contr2_offset, i__1, i__2; | |
639 | doublereal d__1; | |
41194117 | 640 | |
7fd59977 | 641 | /* Local variables */ |
1ef32e96 RL |
642 | integer ideb, ifin, nroo2, ideru, iderv; |
643 | doublereal renor; | |
644 | integer ii, nd, ibb, iim, nbp, iip; | |
645 | doublereal bid1, bid2; | |
41194117 | 646 | |
7fd59977 | 647 | /* ********************************************************************** |
648 | */ | |
649 | ||
0d969553 | 650 | /* FUNCTION : */ |
7fd59977 | 651 | /* ---------- */ |
0d969553 Y |
652 | /* DiscretiZation of a non-polynomial function F(U,V) or of */ |
653 | /* its derivative with fixed isoparameter. */ | |
7fd59977 | 654 | |
0d969553 | 655 | /* KEYWORDS : */ |
7fd59977 | 656 | /* ----------- */ |
0d969553 | 657 | /* ALL, AB_SPECIFI::FONCTION&, DISCRETISATION, &POINT */ |
7fd59977 | 658 | |
0d969553 | 659 | /* INPUT ARGUMENTS : */ |
7fd59977 | 660 | /* ------------------ */ |
0d969553 Y |
661 | /* NDIMEN: Space dimension. */ |
662 | /* UVFONC: Limits of the path of definition by U and by V of the approximated function */ | |
663 | /* FONCNP: The NAME of the non-polynomial function to be approximated */ | |
664 | /* (external program). */ | |
665 | /* ISOFAV: Fixed isoparameter for the discretization; */ | |
666 | /* = 1, discretization with fixed U and variable V. */ | |
667 | /* = 2, discretization with fixed V and variable U. */ | |
668 | /* TCONST: Iso value is also fixed. */ | |
669 | /* NBROOT: Number of INTERNAL discretization parameters. */ | |
670 | /* (if there are constraints, 2 extremities should be added). | |
671 | */ | |
672 | /* This is also the root number of the Legendre polynom where */ | |
673 | /* the discretization is done. */ | |
674 | /* TTABLE: Table of discretization parameters and of 2 extremities */ | |
675 | /* (Respectively (-1, NBROOT Legendre roots,1) */ | |
676 | /* reframed within the adequate interval. */ | |
677 | /* IORDRE: Order of constraint imposed on the extremities of the iso. */ | |
678 | /* (If Iso-U, it is necessary to calculate the derivatives by V and vice */ | |
7fd59977 | 679 | /* versa). */ |
0d969553 Y |
680 | /* = 0, the extremities of the iso are calculated. */ |
681 | /* = 1, additionally the 1st derivative in the direction of the iso is calculated */ | |
682 | /* = 2, additionally the 2nd derivative in the direction of the iso is calculated */ | |
683 | /* IDERIV: Order of derivative transversal to fixed iso (If Iso-U=Uc */ | |
684 | /* is fixed, the derivative of order IDERIV is discretized by U of */ | |
685 | /* F(Uc,v). Same if iso-V is fixed). */ | |
686 | /* Varies from 0 (positioning) to 2 (2nd derivative). */ | |
687 | ||
688 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 689 | /* ------------------- */ |
0d969553 Y |
690 | /* FPNTAB: Auxiliary table. |
691 | SOMTAB: Table of NBROOT/2 sums of 2 index points */ | |
692 | /* NBROOT-II+1 and II, for II = 1, NBROOT/2 */ | |
693 | /* DIFTAB: Table of NBROOT/2 differences of 2 index points */ | |
694 | /* NBROOT-II+1 and II, for II = 1, NBROOT/2 */ | |
695 | /* CONTR1: Contains, if IORDRE>=0, values IORDRE+1 in TTABLE(0) | |
696 | */ | |
697 | /* (1st extremity) of derivatives of F(Uc,Ve) or F(Ue,Vc), */ | |
698 | /* see below. */ | |
699 | /* CONTR2: Contains, if IORDRE>=0, values IORDRE+1 in */ | |
700 | /* TTABLE(NBROOT+1) (2nd extremity) of: */ | |
701 | /* If ISOFAV=1, derived of order IDERIV by U, derived */ | |
702 | /* ordre 0 to IORDRE by V of F(Uc,Ve) or Uc=TCONST */ | |
703 | /* (fixed iso value) and Ve is the fixed extremity. */ | |
704 | /* If ISOFAV=2, derivative of order IDERIV by V, derivative */ | |
705 | /* of order 0 to IORDRE by U of F(Ue,Vc) or Vc=TCONST */ | |
706 | /* (fixed iso value) and Ue is the fixed extremity. */ | |
707 | /* IERCOD: Error code > 100; Pb in evaluation of FONCNP, */ | |
708 | /* the returned error code is equal to error code of FONCNP + 100. */ | |
709 | ||
710 | /* COMMONS USED : */ | |
7fd59977 | 711 | /* ---------------- */ |
712 | ||
0d969553 | 713 | /* REFERENCES CALLED : */ |
7fd59977 | 714 | /* ----------------------- */ |
715 | ||
0d969553 | 716 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 717 | /* ----------------------------------- */ |
0d969553 Y |
718 | /* The results of discretization are arranged in 2 tables */ |
719 | /* SOMTAB and DIFTAB to earn time during the */ | |
720 | /* calculation of coefficients of the approximation curve. */ | |
7fd59977 | 721 | |
0d969553 Y |
722 | /* If NBROOT is uneven in SOMTAB(0,*) and DIFTAB(0,*) one stores */ |
723 | /* the values of the median root of Legendre (0.D0 in (-1,1)). */ | |
7fd59977 | 724 | |
0d969553 Y |
725 | /* Function F(u,v) defined in UVFONC is reparameterized in */ |
726 | /* (-1,1)x(-1,1). Then 1st and 2nd derivatives are renormalized. */ | |
7fd59977 | 727 | |
7fd59977 | 728 | /* > */ |
729 | /* ********************************************************************** | |
730 | */ | |
731 | ||
0d969553 | 732 | /* Name of the routine */ |
7fd59977 | 733 | |
734 | ||
735 | /* Parameter adjustments */ | |
736 | uvfonc -= 3; | |
737 | diftab_dim1 = *nbroot / 2 + 1; | |
738 | diftab_offset = diftab_dim1; | |
739 | diftab -= diftab_offset; | |
740 | somtab_dim1 = *nbroot / 2 + 1; | |
741 | somtab_offset = somtab_dim1; | |
742 | somtab -= somtab_offset; | |
743 | fpntab_dim1 = *ndimen; | |
744 | --fpntab; | |
745 | contr2_dim1 = *ndimen; | |
746 | contr2_offset = contr2_dim1 + 1; | |
747 | contr2 -= contr2_offset; | |
748 | contr1_dim1 = *ndimen; | |
749 | contr1_offset = contr1_dim1 + 1; | |
750 | contr1 -= contr1_offset; | |
751 | ||
752 | /* Function Body */ | |
753 | ibb = AdvApp2Var_SysBase::mnfndeb_(); | |
754 | if (ibb >= 3) { | |
755 | AdvApp2Var_SysBase::mgenmsg_("MMA1FDI", 7L); | |
756 | } | |
757 | *iercod = 0; | |
758 | ||
0d969553 | 759 | /* --------------- Definition of the nb of points to calculate -------------- |
7fd59977 | 760 | */ |
0d969553 | 761 | /* --> If constraints, the limits are also taken */ |
7fd59977 | 762 | if (*iordre >= 0) { |
763 | ideb = 0; | |
764 | ifin = *nbroot + 1; | |
0d969553 | 765 | /* --> Otherwise, only Legendre roots (reframed) are used |
7fd59977 | 766 | . */ |
767 | } else { | |
768 | ideb = 1; | |
769 | ifin = *nbroot; | |
770 | } | |
0d969553 | 771 | /* --> Nb of point to calculate. */ |
7fd59977 | 772 | nbp = ifin - ideb + 1; |
773 | nroo2 = *nbroot / 2; | |
774 | ||
0d969553 | 775 | /* --------------- Determination of the order of global derivation -------- |
7fd59977 | 776 | */ |
0d969553 Y |
777 | /* --> ISOFAV takes only values 1 or 2. */ |
778 | /* if Iso-U, derive by U of order IDERIV */ | |
7fd59977 | 779 | if (*isofav == 1) { |
780 | ideru = *ideriv; | |
781 | iderv = 0; | |
782 | d__1 = (uvfonc[4] - uvfonc[3]) / 2.; | |
783 | renor = AdvApp2Var_MathBase::pow__di(&d__1, ideriv); | |
0d969553 | 784 | /* if Iso-V, derive by V of order IDERIV */ |
7fd59977 | 785 | } else { |
786 | ideru = 0; | |
787 | iderv = *ideriv; | |
788 | d__1 = (uvfonc[6] - uvfonc[5]) / 2.; | |
789 | renor = AdvApp2Var_MathBase::pow__di(&d__1, ideriv); | |
790 | } | |
791 | ||
0d969553 | 792 | /* ----------- Discretization on roots of the --------------- |
7fd59977 | 793 | */ |
0d969553 | 794 | /* ---------------------- Legendre polynom of degree NBROOT ------------------- |
7fd59977 | 795 | */ |
796 | ||
fadcea2c | 797 | (*const_cast <AdvApp2Var_EvaluatorFunc2Var*> (&foncnp)).Evaluate (ndimen, |
7fd59977 | 798 | &uvfonc[3], |
799 | &uvfonc[5], | |
800 | isofav, | |
801 | tconst, | |
802 | &nbp, | |
803 | &ttable[ideb], | |
804 | &ideru, | |
805 | &iderv, | |
806 | &fpntab[ideb * fpntab_dim1 + 1], | |
807 | iercod); | |
808 | if (*iercod > 0) { | |
809 | goto L9999; | |
810 | } | |
811 | i__1 = *ndimen; | |
812 | for (nd = 1; nd <= i__1; ++nd) { | |
813 | i__2 = nroo2; | |
814 | for (ii = 1; ii <= i__2; ++ii) { | |
815 | iip = (*nbroot + 1) / 2 + ii; | |
816 | iim = nroo2 - ii + 1; | |
817 | bid1 = fpntab[nd + iim * fpntab_dim1]; | |
818 | bid2 = fpntab[nd + iip * fpntab_dim1]; | |
819 | somtab[ii + nd * somtab_dim1] = renor * (bid2 + bid1); | |
820 | diftab[ii + nd * diftab_dim1] = renor * (bid2 - bid1); | |
821 | /* L200: */ | |
822 | } | |
823 | /* L100: */ | |
824 | } | |
825 | ||
0d969553 | 826 | /* ------------ Case when discretisation is done on roots of a ---- |
7fd59977 | 827 | */ |
0d969553 | 828 | /* ---------- Legendre polynom of uneven degree, 0 is root -------- |
7fd59977 | 829 | */ |
830 | ||
831 | if (*nbroot % 2 == 1) { | |
832 | i__1 = *ndimen; | |
833 | for (nd = 1; nd <= i__1; ++nd) { | |
834 | somtab[nd * somtab_dim1] = renor * fpntab[nd + (nroo2 + 1) * | |
835 | fpntab_dim1]; | |
836 | diftab[nd * diftab_dim1] = renor * fpntab[nd + (nroo2 + 1) * | |
837 | fpntab_dim1]; | |
838 | /* L300: */ | |
839 | } | |
840 | } else { | |
841 | i__1 = *ndimen; | |
842 | for (nd = 1; nd <= i__1; ++nd) { | |
843 | somtab[nd * somtab_dim1] = 0.; | |
844 | diftab[nd * diftab_dim1] = 0.; | |
845 | } | |
846 | } | |
847 | ||
848 | ||
0d969553 | 849 | /* --------------------- Take into account constraints ---------------- |
7fd59977 | 850 | */ |
851 | ||
852 | if (*iordre >= 0) { | |
0d969553 | 853 | /* --> Recover already calculated extremities. */ |
7fd59977 | 854 | i__1 = *ndimen; |
855 | for (nd = 1; nd <= i__1; ++nd) { | |
856 | contr1[nd + contr1_dim1] = renor * fpntab[nd]; | |
857 | contr2[nd + contr2_dim1] = renor * fpntab[nd + (*nbroot + 1) * | |
858 | fpntab_dim1]; | |
859 | /* L400: */ | |
860 | } | |
0d969553 | 861 | /* --> Nb of points to calculate/call to FONCNP */ |
7fd59977 | 862 | nbp = 1; |
0d969553 | 863 | /* If Iso-U, derive by V till order IORDRE */ |
7fd59977 | 864 | if (*isofav == 1) { |
0d969553 | 865 | /* --> Factor of normalisation 1st derivative. */ |
7fd59977 | 866 | bid1 = (uvfonc[6] - uvfonc[5]) / 2.; |
867 | i__1 = *iordre; | |
868 | for (iderv = 1; iderv <= i__1; ++iderv) { | |
fadcea2c RL |
869 | (*const_cast <AdvApp2Var_EvaluatorFunc2Var*> (&foncnp)).Evaluate ( |
870 | ndimen, &uvfonc[3], &uvfonc[5], isofav, tconst, & | |
871 | nbp, ttable, &ideru, &iderv, &contr1[(iderv + 1) * | |
7fd59977 | 872 | contr1_dim1 + 1], iercod); |
873 | if (*iercod > 0) { | |
874 | goto L9999; | |
875 | } | |
876 | /* L500: */ | |
877 | } | |
878 | i__1 = *iordre; | |
879 | for (iderv = 1; iderv <= i__1; ++iderv) { | |
fadcea2c RL |
880 | (*const_cast <AdvApp2Var_EvaluatorFunc2Var*> (&foncnp)).Evaluate ( |
881 | ndimen, &uvfonc[3], &uvfonc[5], isofav, tconst, & | |
882 | nbp, &ttable[*nbroot + 1], &ideru, &iderv, &contr2[( | |
7fd59977 | 883 | iderv + 1) * contr2_dim1 + 1], iercod); |
884 | if (*iercod > 0) { | |
885 | goto L9999; | |
886 | } | |
887 | /* L510: */ | |
888 | } | |
0d969553 | 889 | /* If Iso-V, derive by U till order IORDRE */ |
7fd59977 | 890 | } else { |
0d969553 | 891 | /* --> Factor of normalization 1st derivative. */ |
7fd59977 | 892 | bid1 = (uvfonc[4] - uvfonc[3]) / 2.; |
893 | i__1 = *iordre; | |
894 | for (ideru = 1; ideru <= i__1; ++ideru) { | |
fadcea2c RL |
895 | (*const_cast <AdvApp2Var_EvaluatorFunc2Var*> (&foncnp)).Evaluate ( |
896 | ndimen, &uvfonc[3], &uvfonc[5], isofav, tconst, & | |
897 | nbp, ttable, &ideru, &iderv, &contr1[(ideru + 1) * | |
7fd59977 | 898 | contr1_dim1 + 1], iercod); |
899 | if (*iercod > 0) { | |
900 | goto L9999; | |
901 | } | |
902 | /* L600: */ | |
903 | } | |
904 | i__1 = *iordre; | |
905 | for (ideru = 1; ideru <= i__1; ++ideru) { | |
fadcea2c RL |
906 | (*const_cast <AdvApp2Var_EvaluatorFunc2Var*> (&foncnp)).Evaluate ( |
907 | ndimen, &uvfonc[3], &uvfonc[5], isofav, tconst, & | |
908 | nbp, &ttable[*nbroot + 1], &ideru, &iderv, &contr2[( | |
7fd59977 | 909 | ideru + 1) * contr2_dim1 + 1], iercod); |
910 | if (*iercod > 0) { | |
911 | goto L9999; | |
912 | } | |
913 | /* L610: */ | |
914 | } | |
915 | } | |
916 | ||
0d969553 | 917 | /* ------------------------- Normalization of derivatives ------------- |
7fd59977 | 918 | ---- */ |
0d969553 | 919 | /* (The function is redefined on (-1,1)*(-1,1)) */ |
7fd59977 | 920 | bid2 = renor; |
921 | i__1 = *iordre; | |
922 | for (ii = 1; ii <= i__1; ++ii) { | |
923 | bid2 = bid1 * bid2; | |
924 | i__2 = *ndimen; | |
925 | for (nd = 1; nd <= i__2; ++nd) { | |
926 | contr1[nd + (ii + 1) * contr1_dim1] *= bid2; | |
927 | contr2[nd + (ii + 1) * contr2_dim1] *= bid2; | |
928 | /* L710: */ | |
929 | } | |
930 | /* L700: */ | |
931 | } | |
932 | } | |
933 | ||
934 | /* ------------------------------ The end ------------------------------- | |
935 | */ | |
936 | ||
937 | L9999: | |
938 | if (*iercod > 0) { | |
939 | *iercod += 100; | |
940 | AdvApp2Var_SysBase::maermsg_("MMA1FDI", iercod, 7L); | |
941 | } | |
942 | if (ibb >= 3) { | |
943 | AdvApp2Var_SysBase::mgsomsg_("MMA1FDI", 7L); | |
944 | } | |
945 | return 0; | |
946 | } /* mma1fdi_ */ | |
947 | ||
948 | //======================================================================= | |
949 | //function : mma1fer_ | |
950 | //purpose : | |
951 | //======================================================================= | |
952 | int mma1fer_(integer *,//ndimen, | |
953 | integer *nbsesp, | |
954 | integer *ndimse, | |
955 | integer *iordre, | |
956 | integer *ndgjac, | |
957 | doublereal *crvjac, | |
958 | integer *ncflim, | |
959 | doublereal *epsapr, | |
960 | doublereal *ycvmax, | |
961 | doublereal *errmax, | |
962 | doublereal *errmoy, | |
963 | integer *ncoeff, | |
964 | integer *iercod) | |
965 | { | |
966 | /* System generated locals */ | |
967 | integer crvjac_dim1, crvjac_offset, i__1, i__2; | |
41194117 | 968 | |
7fd59977 | 969 | /* Local variables */ |
1d47d8d0 | 970 | integer idim, ncfja, ncfnw, ndses, ii, kk, ibb, ier; |
1ef32e96 | 971 | integer nbr0; |
41194117 K |
972 | |
973 | ||
7fd59977 | 974 | /* *********************************************************************** |
975 | */ | |
976 | ||
0d969553 | 977 | /* FUNCTION : */ |
7fd59977 | 978 | /* ---------- */ |
0d969553 | 979 | /* Calculate the degree and the errors of approximation of a border. */ |
7fd59977 | 980 | |
0d969553 | 981 | /* KEYWORDS : */ |
7fd59977 | 982 | /* ----------- */ |
983 | /* TOUS,AB_SPECIFI :: COURBE&,TRONCATURE, &PRECISION */ | |
984 | ||
0d969553 | 985 | /* INPUT ARGUMENTS : */ |
7fd59977 | 986 | /* -------------------- */ |
7fd59977 | 987 | |
0d969553 Y |
988 | /* NDIMEN: Total Dimension of the space (sum of dimensions of sub-spaces) */ |
989 | /* NBSESP: Number of "independent" sub-spaces. */ | |
990 | /* NDIMSE: Table of dimensions of sub-spaces. */ | |
991 | /* IORDRE: Order of constraint at the extremities of the border */ | |
992 | /* -1 = no constraints, */ | |
993 | /* 0 = constraints of passage to limits (i.e. C0), */ | |
994 | /* 1 = C0 + constraintes of 1st derivatives (i.e. C1), */ | |
995 | /* 2 = C1 + constraintes of 2nd derivatives (i.e. C2). */ | |
258ff83b | 996 | /* NDGJAC: Degree of development in series to use for the calculation */ |
0d969553 Y |
997 | /* in the base of Jacobi. */ |
998 | /* CRVJAC: Table of coeff. of the curve of approximation in the */ | |
999 | /* base of Jacobi. */ | |
1000 | /* NCFLIM: Max number of coeff of the polynomial curve */ | |
1001 | /* of approximation (should be above or equal to */ | |
1002 | /* 2*IORDRE+2 and below or equal to 50). */ | |
1003 | /* EPSAPR: Table of errors of approximations that cannot be passed, */ | |
1004 | /* sub-space by sub-space. */ | |
1005 | ||
1006 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 1007 | /* --------------------- */ |
0d969553 Y |
1008 | /* YCVMAX: Auxiliary Table. */ |
1009 | /* ERRMAX: Table of errors (sub-space by sub-space) */ | |
1010 | /* MAXIMUM made in the approximation of FONCNP by */ | |
7fd59977 | 1011 | /* COURBE. */ |
0d969553 Y |
1012 | /* ERRMOY: Table of errors (sub-space by sub-space) */ |
1013 | /* AVERAGE made in the approximation of FONCNP by */ | |
7fd59977 | 1014 | /* COURBE. */ |
0d969553 Y |
1015 | /* NCOEFF: Number of significative coeffs. of the calculated "curve". */ |
1016 | /* IERCOD: Error code */ | |
7fd59977 | 1017 | /* = 0, ok, */ |
0d969553 Y |
1018 | /* =-1, warning, required tolerance can't be */ |
1019 | /* met with coefficients NFCLIM. */ | |
1020 | /* = 1, order of constraints (IORDRE) is not within authorised values */ | |
258ff83b | 1021 | |
7fd59977 | 1022 | |
0d969553 | 1023 | /* COMMONS USED : */ |
7fd59977 | 1024 | /* ------------------ */ |
1025 | ||
0d969553 | 1026 | /* REFERENCES CALLED : */ |
7fd59977 | 1027 | /* --------------------- */ |
1028 | ||
0d969553 | 1029 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 1030 | /* ----------------------------------- */ |
7fd59977 | 1031 | /* > */ |
1032 | /* ********************************************************************** | |
1033 | */ | |
1034 | ||
0d969553 | 1035 | /* Name of the routine */ |
7fd59977 | 1036 | |
1037 | ||
1038 | /* Parameter adjustments */ | |
1039 | --ycvmax; | |
1040 | --errmoy; | |
1041 | --errmax; | |
1042 | --epsapr; | |
1043 | --ndimse; | |
1044 | crvjac_dim1 = *ndgjac + 1; | |
1045 | crvjac_offset = crvjac_dim1; | |
1046 | crvjac -= crvjac_offset; | |
1047 | ||
1048 | /* Function Body */ | |
1049 | ibb = AdvApp2Var_SysBase::mnfndeb_(); | |
1050 | if (ibb >= 3) { | |
1051 | AdvApp2Var_SysBase::mgenmsg_("MMA1FER", 7L); | |
1052 | } | |
1053 | *iercod = 0; | |
1054 | idim = 1; | |
1055 | *ncoeff = 0; | |
1056 | ncfja = *ndgjac + 1; | |
1057 | ||
0d969553 | 1058 | /* ------------ Calculate the degree of the curve and of the Max error -------- |
7fd59977 | 1059 | */ |
0d969553 | 1060 | /* -------------- of approximation for all sub-spaces -------- |
7fd59977 | 1061 | */ |
1062 | ||
1063 | i__1 = *nbsesp; | |
1064 | for (ii = 1; ii <= i__1; ++ii) { | |
1065 | ndses = ndimse[ii]; | |
1066 | ||
0d969553 | 1067 | /* ------------ cutting of coeff. and calculation of Max error ------- |
7fd59977 | 1068 | ---- */ |
1069 | ||
1070 | AdvApp2Var_MathBase::mmtrpjj_(&ncfja, &ndses, &ncfja, &epsapr[ii], iordre, &crvjac[idim * | |
1071 | crvjac_dim1], &ycvmax[1], &errmax[ii], &ncfnw); | |
1072 | ||
1073 | /* ****************************************************************** | |
1074 | **** */ | |
0d969553 | 1075 | /* ------------- If precision OK, calculate the average error ------- |
7fd59977 | 1076 | ---- */ |
1077 | /* ****************************************************************** | |
1078 | **** */ | |
1079 | ||
1080 | if (ncfnw <= *ncflim) { | |
1081 | mmaperm_(&ncfja, &ndses, &ncfja, iordre, &crvjac[idim * | |
1082 | crvjac_dim1], &ncfnw, &errmoy[ii]); | |
41194117 | 1083 | *ncoeff = advapp_max(ncfnw,*ncoeff); |
7fd59977 | 1084 | |
0d969553 | 1085 | /* ------------- Set the declined coefficients to 0.D0 ----------- |
7fd59977 | 1086 | -------- */ |
1087 | ||
1088 | nbr0 = *ncflim - ncfnw; | |
1089 | if (nbr0 > 0) { | |
1090 | i__2 = ndses; | |
1091 | for (kk = 1; kk <= i__2; ++kk) { | |
1092 | AdvApp2Var_SysBase::mvriraz_(&nbr0, | |
fadcea2c | 1093 | &crvjac[ncfnw + (idim + kk - 1) * crvjac_dim1]); |
7fd59977 | 1094 | /* L200: */ |
1095 | } | |
1096 | } | |
1097 | } else { | |
1098 | ||
1099 | /* ************************************************************** | |
1100 | ******** */ | |
0d969553 | 1101 | /* ------------------- If required precision can't be reached---- |
7fd59977 | 1102 | -------- */ |
1103 | /* ************************************************************** | |
1104 | ******** */ | |
1105 | ||
1106 | *iercod = -1; | |
1107 | ||
0d969553 | 1108 | /* ------------------------- calculate the Max error ------------ |
7fd59977 | 1109 | -------- */ |
1110 | ||
1111 | AdvApp2Var_MathBase::mmaperx_(&ncfja, &ndses, &ncfja, iordre, &crvjac[idim * | |
1112 | crvjac_dim1], ncflim, &ycvmax[1], &errmax[ii], &ier); | |
1113 | if (ier > 0) { | |
1114 | goto L9100; | |
1115 | } | |
1116 | ||
0d969553 | 1117 | /* -------------------- nb of coeff to be returned ------------- |
7fd59977 | 1118 | -------- */ |
1119 | ||
1120 | *ncoeff = *ncflim; | |
1121 | ||
0d969553 | 1122 | /* ------------------- and calculation of the average error ---- |
7fd59977 | 1123 | -------- */ |
1124 | ||
1125 | mmaperm_(&ncfja, &ndses, &ncfja, iordre, &crvjac[idim * | |
1126 | crvjac_dim1], ncflim, &errmoy[ii]); | |
1127 | } | |
1128 | idim += ndses; | |
1129 | /* L100: */ | |
1130 | } | |
1131 | ||
1132 | goto L9999; | |
1133 | ||
1134 | /* ------------------------------ The end ------------------------------- | |
1135 | */ | |
0d969553 | 1136 | /* --> The order of constraints is not within autorized values. */ |
7fd59977 | 1137 | L9100: |
1138 | *iercod = 1; | |
1139 | goto L9999; | |
1140 | ||
1141 | L9999: | |
1142 | if (*iercod != 0) { | |
1143 | AdvApp2Var_SysBase::maermsg_("MMA1FER", iercod, 7L); | |
1144 | } | |
1145 | if (ibb >= 3) { | |
1146 | AdvApp2Var_SysBase::mgsomsg_("MMA1FER", 7L); | |
1147 | } | |
1148 | return 0; | |
1149 | } /* mma1fer_ */ | |
1150 | ||
1151 | ||
1152 | //======================================================================= | |
1153 | //function : mma1her_ | |
1154 | //purpose : | |
1155 | //======================================================================= | |
1156 | int AdvApp2Var_ApproxF2var::mma1her_(const integer *iordre, | |
1157 | doublereal *hermit, | |
1158 | integer *iercod) | |
1159 | { | |
1160 | /* System generated locals */ | |
1161 | integer hermit_dim1, hermit_offset; | |
41194117 | 1162 | |
7fd59977 | 1163 | /* Local variables */ |
1ef32e96 | 1164 | integer ibb; |
41194117 | 1165 | |
7fd59977 | 1166 | |
1167 | ||
1168 | /* ********************************************************************** | |
1169 | */ | |
1170 | ||
0d969553 | 1171 | /* FUNCTION : */ |
7fd59977 | 1172 | /* ---------- */ |
0d969553 Y |
1173 | /* Calculate 2*(IORDRE+1) Hermit polynoms of degree 2*IORDRE+1 */ |
1174 | /* on (-1,1) */ | |
7fd59977 | 1175 | |
0d969553 | 1176 | /* KEYWORDS : */ |
7fd59977 | 1177 | /* ----------- */ |
0d969553 | 1178 | /* ALL, AB_SPECIFI::CONTRAINTE&, INTERPOLATION, &POLYNOME */ |
7fd59977 | 1179 | |
0d969553 | 1180 | /* INPUT ARGUMENTS : */ |
7fd59977 | 1181 | /* ------------------ */ |
0d969553 Y |
1182 | /* IORDRE: Order of constraint. */ |
1183 | /* = 0, Polynom of interpolation of order C0 on (-1,1). */ | |
1184 | /* = 1, Polynom of interpolation of order C0 and C1 on (-1,1). */ | |
1185 | /* = 2, Polynom of interpolation of order C0, C1 and C2 on (-1,1). | |
7fd59977 | 1186 | */ |
1187 | ||
0d969553 | 1188 | /* OUTPUT ARGUMENTS : */ |
7fd59977 | 1189 | /* ------------------- */ |
0d969553 Y |
1190 | /* HERMIT: Table of 2*IORDRE+2 coeff. of each of 2*(IORDRE+1) */ |
1191 | /* HERMIT polynom. */ | |
1192 | /* IERCOD: Error code, */ | |
7fd59977 | 1193 | /* = 0, Ok */ |
0d969553 Y |
1194 | /* = 1, required order of constraint is not managed here. */ |
1195 | /* COMMONS USED : */ | |
7fd59977 | 1196 | /* ---------------- */ |
1197 | ||
0d969553 | 1198 | /* REFERENCES CALLED : */ |
7fd59977 | 1199 | /* ----------------------- */ |
1200 | ||
0d969553 | 1201 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 1202 | /* ----------------------------------- */ |
258ff83b | 1203 | /* The part of HERMIT(*,2*i+j) table where j=1 or 2 and i=0 to IORDRE, */ |
0d969553 Y |
1204 | /* contains the coefficients of the polynom of degree 2*IORDRE+1 */ |
1205 | /* such as ALL values in -1 and in +1 of this polynom and its */ | |
1206 | /* derivatives till order of derivation IORDRE are NULL, */ | |
1207 | /* EXCEPT for the derivative of order i: */ | |
1208 | /* - valued 1 in -1 if j=1 */ | |
1209 | /* - valued 1 in +1 if j=2. */ | |
7fd59977 | 1210 | /* > */ |
1211 | /* ********************************************************************** | |
1212 | */ | |
1213 | ||
0d969553 | 1214 | /* Name of the routine */ |
7fd59977 | 1215 | |
1216 | ||
1217 | /* Parameter adjustments */ | |
1218 | hermit_dim1 = (*iordre + 1) << 1; | |
1219 | hermit_offset = hermit_dim1 + 1; | |
1220 | hermit -= hermit_offset; | |
1221 | ||
1222 | /* Function Body */ | |
1223 | ibb = AdvApp2Var_SysBase::mnfndeb_(); | |
1224 | if (ibb >= 3) { | |
1225 | AdvApp2Var_SysBase::mgenmsg_("MMA1HER", 7L); | |
1226 | } | |
1227 | *iercod = 0; | |
1228 | ||
0d969553 | 1229 | /* --- Recover (IORDRE+2) coeff of 2*(IORDRE+1) Hermit polynoms -- |
7fd59977 | 1230 | */ |
1231 | ||
1232 | if (*iordre == 0) { | |
1233 | hermit[hermit_dim1 + 1] = .5; | |
1234 | hermit[hermit_dim1 + 2] = -.5; | |
1235 | ||
1236 | hermit[(hermit_dim1 << 1) + 1] = .5; | |
1237 | hermit[(hermit_dim1 << 1) + 2] = .5; | |
1238 | } else if (*iordre == 1) { | |
1239 | hermit[hermit_dim1 + 1] = .5; | |
1240 | hermit[hermit_dim1 + 2] = -.75; | |
1241 | hermit[hermit_dim1 + 3] = 0.; | |
1242 | hermit[hermit_dim1 + 4] = .25; | |
1243 | ||
1244 | hermit[(hermit_dim1 << 1) + 1] = .5; | |
1245 | hermit[(hermit_dim1 << 1) + 2] = .75; | |
1246 | hermit[(hermit_dim1 << 1) + 3] = 0.; | |
1247 | hermit[(hermit_dim1 << 1) + 4] = -.25; | |
1248 | ||
1249 | hermit[hermit_dim1 * 3 + 1] = .25; | |
1250 | hermit[hermit_dim1 * 3 + 2] = -.25; | |
1251 | hermit[hermit_dim1 * 3 + 3] = -.25; | |
1252 | hermit[hermit_dim1 * 3 + 4] = .25; | |
1253 | ||
1254 | hermit[(hermit_dim1 << 2) + 1] = -.25; | |
1255 | hermit[(hermit_dim1 << 2) + 2] = -.25; | |
1256 | hermit[(hermit_dim1 << 2) + 3] = .25; | |
1257 | hermit[(hermit_dim1 << 2) + 4] = .25; | |
1258 | } else if (*iordre == 2) { | |
1259 | hermit[hermit_dim1 + 1] = .5; | |
1260 | hermit[hermit_dim1 + 2] = -.9375; | |
1261 | hermit[hermit_dim1 + 3] = 0.; | |
1262 | hermit[hermit_dim1 + 4] = .625; | |
1263 | hermit[hermit_dim1 + 5] = 0.; | |
1264 | hermit[hermit_dim1 + 6] = -.1875; | |
1265 | ||
1266 | hermit[(hermit_dim1 << 1) + 1] = .5; | |
1267 | hermit[(hermit_dim1 << 1) + 2] = .9375; | |
1268 | hermit[(hermit_dim1 << 1) + 3] = 0.; | |
1269 | hermit[(hermit_dim1 << 1) + 4] = -.625; | |
1270 | hermit[(hermit_dim1 << 1) + 5] = 0.; | |
1271 | hermit[(hermit_dim1 << 1) + 6] = .1875; | |
1272 | ||
1273 | hermit[hermit_dim1 * 3 + 1] = .3125; | |
1274 | hermit[hermit_dim1 * 3 + 2] = -.4375; | |
1275 | hermit[hermit_dim1 * 3 + 3] = -.375; | |
1276 | hermit[hermit_dim1 * 3 + 4] = .625; | |
1277 | hermit[hermit_dim1 * 3 + 5] = .0625; | |
1278 | hermit[hermit_dim1 * 3 + 6] = -.1875; | |
1279 | ||
1280 | hermit[(hermit_dim1 << 2) + 1] = -.3125; | |
1281 | hermit[(hermit_dim1 << 2) + 2] = -.4375; | |
1282 | hermit[(hermit_dim1 << 2) + 3] = .375; | |
1283 | hermit[(hermit_dim1 << 2) + 4] = .625; | |
1284 | hermit[(hermit_dim1 << 2) + 5] = -.0625; | |
1285 | hermit[(hermit_dim1 << 2) + 6] = -.1875; | |
1286 | ||
1287 | hermit[hermit_dim1 * 5 + 1] = .0625; | |
1288 | hermit[hermit_dim1 * 5 + 2] = -.0625; | |
1289 | hermit[hermit_dim1 * 5 + 3] = -.125; | |
1290 | hermit[hermit_dim1 * 5 + 4] = .125; | |
1291 | hermit[hermit_dim1 * 5 + 5] = .0625; | |
1292 | hermit[hermit_dim1 * 5 + 6] = -.0625; | |
1293 | ||
1294 | hermit[hermit_dim1 * 6 + 1] = .0625; | |
1295 | hermit[hermit_dim1 * 6 + 2] = .0625; | |
1296 | hermit[hermit_dim1 * 6 + 3] = -.125; | |
1297 | hermit[hermit_dim1 * 6 + 4] = -.125; | |
1298 | hermit[hermit_dim1 * 6 + 5] = .0625; | |
1299 | hermit[hermit_dim1 * 6 + 6] = .0625; | |
1300 | } else { | |
1301 | *iercod = 1; | |
1302 | } | |
1303 | ||
1304 | /* ------------------------------ The End ------------------------------- | |
1305 | */ | |
1306 | ||
1307 | AdvApp2Var_SysBase::maermsg_("MMA1HER", iercod, 7L); | |
1308 | if (ibb >= 3) { | |
1309 | AdvApp2Var_SysBase::mgsomsg_("MMA1HER", 7L); | |
1310 | } | |
1311 | return 0; | |
1312 | } /* mma1her_ */ | |
1313 | //======================================================================= | |
1314 | //function : mma1jak_ | |
1315 | //purpose : | |
1316 | //======================================================================= | |
1317 | int mma1jak_(integer *ndimen, | |
1318 | integer *nbroot, | |
1319 | integer *iordre, | |
1320 | integer *ndgjac, | |
1321 | doublereal *somtab, | |
1322 | doublereal *diftab, | |
1323 | doublereal *cgauss, | |
1324 | doublereal *crvjac, | |
1325 | integer *iercod) | |
1326 | { | |
1327 | /* System generated locals */ | |
1328 | integer somtab_dim1, somtab_offset, diftab_dim1, diftab_offset, | |
96a95605 | 1329 | crvjac_dim1, crvjac_offset; |
41194117 | 1330 | |
7fd59977 | 1331 | /* Local variables */ |
1ef32e96 | 1332 | integer ibb; |
7fd59977 | 1333 | |
1334 | /* ********************************************************************** | |
1335 | */ | |
1336 | ||
0d969553 | 1337 | /* FUNCTION : */ |
7fd59977 | 1338 | /* ---------- */ |
0d969553 Y |
1339 | /* Calculate the curve of approximation of a non-polynomial function */ |
1340 | /* in the base of Jacobi. */ | |
7fd59977 | 1341 | |
0d969553 | 1342 | /* KEYWORDS : */ |
7fd59977 | 1343 | /* ----------- */ |
0d969553 | 1344 | /* FUNCTION,DISCRETISATION,APPROXIMATION,CONSTRAINT,CURVE,JACOBI */ |
7fd59977 | 1345 | |
0d969553 | 1346 | /* INPUT ARGUMENTS : */ |
7fd59977 | 1347 | /* ------------------ */ |
0d969553 Y |
1348 | /* NDIMEN: Total dimension of the space (sum of dimensions */ |
1349 | /* of sub-spaces) */ | |
258ff83b | 1350 | /* NBROOT: Nb of points of discretization of the iso, extremities not */ |
0d969553 Y |
1351 | /* included. */ |
1352 | /* IORDRE: Order of constraint at the extremities of the boundary */ | |
1353 | /* -1 = no constraints, */ | |
1354 | /* 0 = constraints of passage of limits (i.e. C0), */ | |
1355 | /* 1 = C0 + constraints of 1st derivatives (i.e. C1), */ | |
1356 | /* 2 = C1 + constraints of 2nd derivatives (i.e. C2). */ | |
258ff83b | 1357 | /* NDGJAC: Degree of development in series to be used for calculation in the */ |
0d969553 Y |
1358 | /* base of Jacobi. */ |
1359 | ||
1360 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 1361 | /* ------------------- */ |
0d969553 Y |
1362 | /* CRVJAC : Curve of approximation of FONCNP with (eventually) */ |
1363 | /* taking into account of constraints at the extremities. */ | |
1364 | /* This curve is of degree NDGJAC. */ | |
1365 | /* IERCOD : Error code : */ | |
1366 | /* 0 = All is ok. */ | |
1367 | /* 33 = Pb to return data of du block data */ | |
1368 | /* of coeff. of integration by GAUSS method. */ | |
1369 | /* by program MMAPPTT. */ | |
1370 | ||
1371 | /* COMMONS USED : */ | |
7fd59977 | 1372 | /* ---------------- */ |
1373 | ||
0d969553 | 1374 | /* REFERENCES CALLED : */ |
7fd59977 | 1375 | /* ----------------------- */ |
7fd59977 | 1376 | /* > */ |
1377 | /* ********************************************************************** | |
1378 | */ | |
1379 | ||
0d969553 | 1380 | /* Name of the routine */ |
7fd59977 | 1381 | |
1382 | /* Parameter adjustments */ | |
1383 | diftab_dim1 = *nbroot / 2 + 1; | |
1384 | diftab_offset = diftab_dim1; | |
1385 | diftab -= diftab_offset; | |
1386 | somtab_dim1 = *nbroot / 2 + 1; | |
1387 | somtab_offset = somtab_dim1; | |
1388 | somtab -= somtab_offset; | |
1389 | crvjac_dim1 = *ndgjac + 1; | |
1390 | crvjac_offset = crvjac_dim1; | |
1391 | crvjac -= crvjac_offset; | |
7fd59977 | 1392 | |
1393 | /* Function Body */ | |
1394 | ibb = AdvApp2Var_SysBase::mnfndeb_(); | |
1395 | if (ibb >= 2) { | |
1396 | AdvApp2Var_SysBase::mgenmsg_("MMA1JAK", 7L); | |
1397 | } | |
1398 | *iercod = 0; | |
1399 | ||
0d969553 | 1400 | /* ----------------- Recover coeffs of integration by Gauss ----------- |
7fd59977 | 1401 | */ |
1402 | ||
1403 | AdvApp2Var_ApproxF2var::mmapptt_(ndgjac, nbroot, iordre, cgauss, iercod); | |
1404 | if (*iercod > 0) { | |
1405 | *iercod = 33; | |
1406 | goto L9999; | |
1407 | } | |
1408 | ||
0d969553 | 1409 | /* --------------- Calculate the curve in the base of Jacobi ----------- |
7fd59977 | 1410 | */ |
1411 | ||
1412 | mmmapcoe_(ndimen, ndgjac, iordre, nbroot, &somtab[somtab_offset], &diftab[ | |
1413 | diftab_offset], cgauss, &crvjac[crvjac_offset]); | |
1414 | ||
1415 | /* ------------------------------ The End ------------------------------- | |
1416 | */ | |
1417 | ||
1418 | L9999: | |
1419 | if (*iercod != 0) { | |
1420 | AdvApp2Var_SysBase::maermsg_("MMA1JAK", iercod, 7L); | |
1421 | } | |
1422 | if (ibb >= 2) { | |
1423 | AdvApp2Var_SysBase::mgsomsg_("MMA1JAK", 7L); | |
1424 | } | |
1425 | return 0; | |
1426 | } /* mma1jak_ */ | |
1427 | ||
1428 | //======================================================================= | |
1429 | //function : mma1noc_ | |
1430 | //purpose : | |
1431 | //======================================================================= | |
1432 | int mma1noc_(doublereal *dfuvin, | |
1433 | integer *ndimen, | |
1434 | integer *iordre, | |
1435 | doublereal *cntrin, | |
1436 | doublereal *duvout, | |
1437 | integer *isofav, | |
1438 | integer *ideriv, | |
1439 | doublereal *cntout) | |
1440 | { | |
1441 | /* System generated locals */ | |
1442 | integer i__1; | |
1443 | doublereal d__1; | |
41194117 | 1444 | |
7fd59977 | 1445 | /* Local variables */ |
1ef32e96 RL |
1446 | doublereal rider, riord; |
1447 | integer nd, ibb; | |
1448 | doublereal bid; | |
7fd59977 | 1449 | /* ********************************************************************** |
1450 | */ | |
1451 | ||
0d969553 | 1452 | /* FUNCTION : */ |
7fd59977 | 1453 | /* ---------- */ |
0d969553 Y |
1454 | /* Normalization of constraints of derivatives, defined on DFUVIN */ |
1455 | /* on block DUVOUT. */ | |
7fd59977 | 1456 | |
0d969553 | 1457 | /* KEYWORDS : */ |
7fd59977 | 1458 | /* ----------- */ |
0d969553 | 1459 | /* ALL, AB_SPECIFI::VECTEUR&,DERIVEE&,NORMALISATION,&VECTEUR */ |
7fd59977 | 1460 | |
0d969553 | 1461 | /* INPUT ARGUMENTS : */ |
7fd59977 | 1462 | /* ------------------ */ |
0d969553 | 1463 | /* DFUVIN: Limits of the block of definition by U and by V where |
7fd59977 | 1464 | */ |
0d969553 Y |
1465 | /* constraints CNTRIN are defined. */ |
1466 | /* NDIMEN: Dimension of the space. */ | |
1467 | /* IORDRE: Order of constraint imposed at the extremities of the iso. */ | |
1468 | /* (if Iso-U, it is necessary to calculate derivatives by V and vice */ | |
7fd59977 | 1469 | /* versa). */ |
0d969553 Y |
1470 | /* = 0, the extremities of the iso are calculated */ |
1471 | /* = 1, additionally the 1st derivative in the direction */ | |
1472 | /* of the iso is calculated */ | |
1473 | /* = 2, additionally the 2nd derivative in the direction */ | |
1474 | /* of the iso is calculated */ | |
1475 | /* CNTRIN: Contains, if IORDRE>=0, IORDRE+1 derivatives */ | |
1476 | /* of order IORDRE of F(Uc,v) or of F(u,Vc), following the */ | |
1477 | /* value of ISOFAV, RENORMALIZED by u and v in (-1,1). */ | |
1478 | /* DUVOUT: Limits of the block of definition by U and by V where the */ | |
1479 | /* constraints CNTOUT will be defined. */ | |
1480 | /* ISOFAV: Isoparameter fixed for the discretization; */ | |
1481 | /* = 1, discretization with fixed U=Uc and variable V. */ | |
1482 | /* = 2, discretization with fixed V=Vc and variable U. */ | |
7fd59977 | 1483 | /* IDERIV: Ordre de derivee transverse a l'iso fixee (Si Iso-U=Uc */ |
0d969553 Y |
1484 | /* is fixed, the derivative of order IDERIV is discretized by U */ |
1485 | /* of F(Uc,v). The same if iso-V is fixed). */ | |
1486 | /* Varies from (positioning) to 2 (2nd derivative). */ | |
7fd59977 | 1487 | |
0d969553 | 1488 | /* OUTPUT ARGUMENTS : */ |
7fd59977 | 1489 | /* ------------------- */ |
0d969553 Y |
1490 | /* CNTOUT: Contains, if IORDRE>=0, IORDRE+1 derivatives */ |
1491 | /* of order IORDRE of F(Uc,v) or of F(u,Vc), depending on the */ | |
1492 | /* value of ISOFAV, RENORMALIZED for u and v in DUVOUT. */ | |
7fd59977 | 1493 | |
0d969553 | 1494 | /* COMMONS USED : */ |
7fd59977 | 1495 | /* ---------------- */ |
1496 | ||
0d969553 Y |
1497 | /* REFERENCES CALLED : */ |
1498 | /* --------------------- */ | |
7fd59977 | 1499 | |
0d969553 Y |
1500 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
1501 | /* ------------------------------- */ | |
1502 | /* CNTRIN can be an output/input argument, */ | |
1503 | /* so the call: */ | |
7fd59977 | 1504 | |
1505 | /* CALL MMA1NOC(DFUVIN,NDIMEN,IORDRE,CNTRIN,DUVOUT */ | |
1506 | /* 1 ,ISOFAV,IDERIV,CNTRIN) */ | |
1507 | ||
0d969553 | 1508 | /* is correct. */ |
7fd59977 | 1509 | /* > */ |
1510 | /* ********************************************************************** | |
1511 | */ | |
1512 | ||
0d969553 | 1513 | /* Name of the routine */ |
7fd59977 | 1514 | |
1515 | ||
1516 | /* Parameter adjustments */ | |
1517 | dfuvin -= 3; | |
1518 | --cntout; | |
1519 | --cntrin; | |
1520 | duvout -= 3; | |
1521 | ||
1522 | /* Function Body */ | |
1523 | ibb = AdvApp2Var_SysBase::mnfndeb_(); | |
1524 | if (ibb >= 3) { | |
1525 | AdvApp2Var_SysBase::mgenmsg_("MMA1NOC", 7L); | |
1526 | } | |
1527 | ||
0d969553 | 1528 | /* --------------- Determination of coefficients of normalization ------- |
7fd59977 | 1529 | */ |
1530 | ||
1531 | if (*isofav == 1) { | |
1532 | d__1 = (dfuvin[4] - dfuvin[3]) / (duvout[4] - duvout[3]); | |
1533 | rider = AdvApp2Var_MathBase::pow__di(&d__1, ideriv); | |
1534 | d__1 = (dfuvin[6] - dfuvin[5]) / (duvout[6] - duvout[5]); | |
1535 | riord = AdvApp2Var_MathBase::pow__di(&d__1, iordre); | |
1536 | ||
1537 | } else { | |
1538 | d__1 = (dfuvin[6] - dfuvin[5]) / (duvout[6] - duvout[5]); | |
1539 | rider = AdvApp2Var_MathBase::pow__di(&d__1, ideriv); | |
1540 | d__1 = (dfuvin[4] - dfuvin[3]) / (duvout[4] - duvout[3]); | |
1541 | riord = AdvApp2Var_MathBase::pow__di(&d__1, iordre); | |
1542 | } | |
1543 | ||
0d969553 | 1544 | /* ------------- Renormalization of the vector of constraint --------------- |
7fd59977 | 1545 | */ |
1546 | ||
1547 | bid = rider * riord; | |
1548 | i__1 = *ndimen; | |
1549 | for (nd = 1; nd <= i__1; ++nd) { | |
1550 | cntout[nd] = bid * cntrin[nd]; | |
1551 | /* L100: */ | |
1552 | } | |
1553 | ||
1554 | /* ------------------------------ The end ------------------------------- | |
1555 | */ | |
1556 | ||
1557 | if (ibb >= 3) { | |
1558 | AdvApp2Var_SysBase::mgsomsg_("MMA1NOC", 7L); | |
1559 | } | |
1560 | return 0; | |
1561 | } /* mma1noc_ */ | |
1562 | ||
1563 | //======================================================================= | |
1564 | //function : mma1nop_ | |
1565 | //purpose : | |
1566 | //======================================================================= | |
1567 | int mma1nop_(integer *nbroot, | |
1568 | doublereal *rootlg, | |
1569 | doublereal *uvfonc, | |
1570 | integer *isofav, | |
1571 | doublereal *ttable, | |
1572 | integer *iercod) | |
1573 | ||
1574 | { | |
1575 | /* System generated locals */ | |
1576 | integer i__1; | |
41194117 | 1577 | |
7fd59977 | 1578 | /* Local variables */ |
1ef32e96 RL |
1579 | doublereal alinu, blinu, alinv, blinv; |
1580 | integer ii, ibb; | |
7fd59977 | 1581 | |
1582 | /* *********************************************************************** | |
1583 | */ | |
1584 | ||
0d969553 | 1585 | /* FUNCTION : */ |
7fd59977 | 1586 | /* ---------- */ |
0d969553 Y |
1587 | /* Normalization of parameters of an iso, starting from */ |
1588 | /* parametric block and parameters on (-1,1). */ | |
7fd59977 | 1589 | |
0d969553 | 1590 | /* KEYWORDS : */ |
7fd59977 | 1591 | /* ----------- */ |
1592 | /* TOUS,AB_SPECIFI :: ISO&,POINT&,NORMALISATION,&POINT,&ISO */ | |
1593 | ||
0d969553 | 1594 | /* INPUT ARGUMENTS : */ |
7fd59977 | 1595 | /* -------------------- */ |
0d969553 Y |
1596 | /* NBROOT: Nb of points of discretisation INSIDE the iso */ |
1597 | /* defined on (-1,1). */ | |
1598 | /* ROOTLG: Table of discretization parameters on )-1,1( */ | |
1599 | /* of the iso. */ | |
1600 | /* UVFONC: Block of definition of the iso */ | |
1601 | /* ISOFAV: = 1, this is iso-u; =2, this is iso-v. */ | |
1602 | ||
1603 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 1604 | /* --------------------- */ |
0d969553 | 1605 | /* TTABLE: Table of parameters renormalized on UVFONC of the iso. |
7fd59977 | 1606 | */ |
1607 | /* IERCOD: = 0, OK */ | |
0d969553 | 1608 | /* = 1, ISOFAV is out of allowed values. */ |
7fd59977 | 1609 | |
7fd59977 | 1610 | /* > */ |
1611 | /* ********************************************************************** | |
1612 | */ | |
0d969553 | 1613 | /* Name of the routine */ |
7fd59977 | 1614 | |
1615 | ||
1616 | /* Parameter adjustments */ | |
1617 | --rootlg; | |
1618 | uvfonc -= 3; | |
1619 | ||
1620 | /* Function Body */ | |
1621 | ibb = AdvApp2Var_SysBase::mnfndeb_(); | |
1622 | if (ibb >= 3) { | |
1623 | AdvApp2Var_SysBase::mgenmsg_("MMA1NOP", 7L); | |
1624 | } | |
1625 | ||
1626 | alinu = (uvfonc[4] - uvfonc[3]) / 2.; | |
1627 | blinu = (uvfonc[4] + uvfonc[3]) / 2.; | |
1628 | alinv = (uvfonc[6] - uvfonc[5]) / 2.; | |
1629 | blinv = (uvfonc[6] + uvfonc[5]) / 2.; | |
1630 | ||
1631 | if (*isofav == 1) { | |
1632 | ttable[0] = uvfonc[5]; | |
1633 | i__1 = *nbroot; | |
1634 | for (ii = 1; ii <= i__1; ++ii) { | |
1635 | ttable[ii] = alinv * rootlg[ii] + blinv; | |
1636 | /* L100: */ | |
1637 | } | |
1638 | ttable[*nbroot + 1] = uvfonc[6]; | |
1639 | } else if (*isofav == 2) { | |
1640 | ttable[0] = uvfonc[3]; | |
1641 | i__1 = *nbroot; | |
1642 | for (ii = 1; ii <= i__1; ++ii) { | |
1643 | ttable[ii] = alinu * rootlg[ii] + blinu; | |
1644 | /* L200: */ | |
1645 | } | |
1646 | ttable[*nbroot + 1] = uvfonc[4]; | |
1647 | } else { | |
1648 | goto L9100; | |
1649 | } | |
1650 | ||
1651 | goto L9999; | |
1652 | ||
1653 | /* ------------------------------ THE END ------------------------------- | |
1654 | */ | |
1655 | ||
1656 | L9100: | |
1657 | *iercod = 1; | |
1658 | goto L9999; | |
1659 | ||
1660 | L9999: | |
1661 | if (*iercod != 0) { | |
1662 | AdvApp2Var_SysBase::maermsg_("MMA1NOP", iercod, 7L); | |
1663 | } | |
1664 | if (ibb >= 3) { | |
1665 | AdvApp2Var_SysBase::mgsomsg_("MMA1NOP", 7L); | |
1666 | } | |
1667 | ||
1668 | return 0 ; | |
1669 | ||
1670 | } /* mma1nop_ */ | |
1671 | ||
1672 | //======================================================================= | |
1673 | //function : mma2ac1_ | |
1674 | //purpose : | |
1675 | //======================================================================= | |
1676 | int AdvApp2Var_ApproxF2var::mma2ac1_(integer const *ndimen, | |
1677 | integer const *mxujac, | |
1678 | integer const *mxvjac, | |
1679 | integer const *iordru, | |
1680 | integer const *iordrv, | |
1681 | doublereal const *contr1, | |
1682 | doublereal const * contr2, | |
1683 | doublereal const *contr3, | |
1684 | doublereal const *contr4, | |
1685 | doublereal const *uhermt, | |
1686 | doublereal const *vhermt, | |
1687 | doublereal *patjac) | |
1688 | ||
1689 | { | |
1690 | /* System generated locals */ | |
1691 | integer contr1_dim1, contr1_dim2, contr1_offset, contr2_dim1, contr2_dim2, | |
1692 | contr2_offset, contr3_dim1, contr3_dim2, contr3_offset, | |
1693 | contr4_dim1, contr4_dim2, contr4_offset, uhermt_dim1, | |
1694 | uhermt_offset, vhermt_dim1, vhermt_offset, patjac_dim1, | |
1695 | patjac_dim2, patjac_offset, i__1, i__2, i__3, i__4, i__5; | |
41194117 | 1696 | |
7fd59977 | 1697 | /* Local variables */ |
1ef32e96 RL |
1698 | logical ldbg; |
1699 | integer ndgu, ndgv; | |
1700 | doublereal bidu1, bidu2, bidv1, bidv2; | |
1701 | integer ioru1, iorv1, ii, nd, jj, ku, kv; | |
1702 | doublereal cnt1, cnt2, cnt3, cnt4; | |
7fd59977 | 1703 | |
1704 | /* ********************************************************************** | |
1705 | */ | |
1706 | ||
0d969553 | 1707 | /* FUNCTION : */ |
7fd59977 | 1708 | /* ---------- */ |
0d969553 | 1709 | /* Add polynoms of edge constraints. */ |
7fd59977 | 1710 | |
0d969553 | 1711 | /* KEYWORDS : */ |
7fd59977 | 1712 | /* ----------- */ |
1713 | /* TOUS,AB_SPECIFI::POINT&,CONTRAINTE&,ADDITION,&POLYNOME */ | |
1714 | ||
0d969553 | 1715 | /* INPUT ARGUMENTS : */ |
7fd59977 | 1716 | /* ------------------ */ |
0d969553 Y |
1717 | /* NDIMEN: Dimension of the space. */ |
1718 | /* MXUJAC: Max degree of the polynom of approximation by U. The */ | |
1719 | /* representation in the orthogonal base starts from degree */ | |
1720 | /* 0 to degree MXUJAC-2*(IORDRU+1). The polynomial base is the */ | |
1721 | /* base of Jacobi of order -1 (Legendre), 0, 1 or 2 */ | |
1722 | /* MXVJAC: Max degree of the polynom of approximation by V. The */ | |
1723 | /* representation in the orthogonal base starts from degree */ | |
1724 | /* 0 to degree MXUJAC-2*(IORDRU+1). The polynomial base is the */ | |
1725 | /* base of Jacobi of order -1 (Legendre), 0, 1 or 2 */ | |
1726 | /* IORDRU: Order of the base of Jacobi (-1,0,1 or 2) by U. Corresponds */ | |
1727 | /* to the step of constraints: C0, C1 or C2. */ | |
1728 | /* IORDRV: Order of the base of Jacobi (-1,0,1 or 2) by V. Corresponds */ | |
1729 | /* to the step of constraints: C0, C1 or C2. */ | |
1730 | /* CONTR1: Contains, if IORDRU and IORDRV>=0, the values at the */ | |
1731 | /* extremities of F(U0,V0) and its derivatives. */ | |
1732 | /* CONTR2: Contains, if IORDRU and IORDRV>=0, the values at the */ | |
1733 | /* extremities of F(U1,V0) and its derivatives. */ | |
1734 | /* CONTR3: Contains, if IORDRU and IORDRV>=0, the values at the */ | |
1735 | /* extremities of F(U0,V1) and its derivatives. */ | |
1736 | /* CONTR4: Contains, if IORDRU and IORDRV>=0, the values at the */ | |
1737 | /* extremities of F(U1,V1) and its derivatives. */ | |
1738 | /* UHERMT: Coeff. of Hermit polynoms of order IORDRU. */ | |
1739 | /* VHERMT: Coeff. of Hermit polynoms of order IORDRV. */ | |
1740 | /* PATJAC: Table of coefficients of the polynom P(u,v) of approximation */ | |
1741 | /* of F(u,v) WITHOUT taking into account the constraints. */ | |
1742 | ||
1743 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 1744 | /* ------------------- */ |
0d969553 Y |
1745 | /* PATJAC: Table of coefficients of the polynom P(u,v) by approximation */ |
1746 | /* of F(u,v) WITH taking into account of constraints. */ | |
7fd59977 | 1747 | /* > */ |
1748 | /* ********************************************************************** | |
1749 | */ | |
0d969553 | 1750 | /* Name of the routine */ |
7fd59977 | 1751 | |
0d969553 | 1752 | /* --------------------------- Initialization -------------------------- |
7fd59977 | 1753 | */ |
1754 | ||
1755 | /* Parameter adjustments */ | |
1756 | patjac_dim1 = *mxujac + 1; | |
1757 | patjac_dim2 = *mxvjac + 1; | |
1758 | patjac_offset = patjac_dim1 * patjac_dim2; | |
1759 | patjac -= patjac_offset; | |
1760 | uhermt_dim1 = (*iordru << 1) + 2; | |
1761 | uhermt_offset = uhermt_dim1; | |
1762 | uhermt -= uhermt_offset; | |
1763 | vhermt_dim1 = (*iordrv << 1) + 2; | |
1764 | vhermt_offset = vhermt_dim1; | |
1765 | vhermt -= vhermt_offset; | |
1766 | contr4_dim1 = *ndimen; | |
1767 | contr4_dim2 = *iordru + 2; | |
1768 | contr4_offset = contr4_dim1 * (contr4_dim2 + 1) + 1; | |
1769 | contr4 -= contr4_offset; | |
1770 | contr3_dim1 = *ndimen; | |
1771 | contr3_dim2 = *iordru + 2; | |
1772 | contr3_offset = contr3_dim1 * (contr3_dim2 + 1) + 1; | |
1773 | contr3 -= contr3_offset; | |
1774 | contr2_dim1 = *ndimen; | |
1775 | contr2_dim2 = *iordru + 2; | |
1776 | contr2_offset = contr2_dim1 * (contr2_dim2 + 1) + 1; | |
1777 | contr2 -= contr2_offset; | |
1778 | contr1_dim1 = *ndimen; | |
1779 | contr1_dim2 = *iordru + 2; | |
1780 | contr1_offset = contr1_dim1 * (contr1_dim2 + 1) + 1; | |
1781 | contr1 -= contr1_offset; | |
1782 | ||
1783 | /* Function Body */ | |
1784 | ldbg = AdvApp2Var_SysBase::mnfndeb_() >= 3; | |
1785 | if (ldbg) { | |
1786 | AdvApp2Var_SysBase::mgenmsg_("MMA2AC1", 7L); | |
1787 | } | |
1788 | ||
0d969553 | 1789 | /* ------------ SUBTRACTION OF ANGULAR CONSTRAINTS ------------------- |
7fd59977 | 1790 | */ |
1791 | ||
1792 | ioru1 = *iordru + 1; | |
1793 | iorv1 = *iordrv + 1; | |
1794 | ndgu = (*iordru << 1) + 1; | |
1795 | ndgv = (*iordrv << 1) + 1; | |
1796 | ||
1797 | i__1 = iorv1; | |
1798 | for (jj = 1; jj <= i__1; ++jj) { | |
1799 | i__2 = ioru1; | |
1800 | for (ii = 1; ii <= i__2; ++ii) { | |
1801 | i__3 = *ndimen; | |
1802 | for (nd = 1; nd <= i__3; ++nd) { | |
1803 | cnt1 = contr1[nd + (ii + jj * contr1_dim2) * contr1_dim1]; | |
1804 | cnt2 = contr2[nd + (ii + jj * contr2_dim2) * contr2_dim1]; | |
1805 | cnt3 = contr3[nd + (ii + jj * contr3_dim2) * contr3_dim1]; | |
1806 | cnt4 = contr4[nd + (ii + jj * contr4_dim2) * contr4_dim1]; | |
1807 | i__4 = ndgv; | |
1808 | for (kv = 0; kv <= i__4; ++kv) { | |
1809 | bidv1 = vhermt[kv + ((jj << 1) - 1) * vhermt_dim1]; | |
1810 | bidv2 = vhermt[kv + (jj << 1) * vhermt_dim1]; | |
1811 | i__5 = ndgu; | |
1812 | for (ku = 0; ku <= i__5; ++ku) { | |
1813 | bidu1 = uhermt[ku + ((ii << 1) - 1) * uhermt_dim1]; | |
1814 | bidu2 = uhermt[ku + (ii << 1) * uhermt_dim1]; | |
1815 | patjac[ku + (kv + nd * patjac_dim2) * patjac_dim1] = | |
1816 | patjac[ku + (kv + nd * patjac_dim2) * | |
1817 | patjac_dim1] - bidu1 * bidv1 * cnt1 - bidu2 * | |
1818 | bidv1 * cnt2 - bidu1 * bidv2 * cnt3 - bidu2 * | |
1819 | bidv2 * cnt4; | |
1820 | /* L500: */ | |
1821 | } | |
1822 | /* L400: */ | |
1823 | } | |
1824 | /* L300: */ | |
1825 | } | |
1826 | /* L200: */ | |
1827 | } | |
1828 | /* L100: */ | |
1829 | } | |
1830 | ||
1831 | /* ------------------------------ The end ------------------------------- | |
1832 | */ | |
1833 | ||
1834 | if (ldbg) { | |
1835 | AdvApp2Var_SysBase::mgsomsg_("MMA2AC1", 7L); | |
1836 | } | |
1837 | return 0; | |
1838 | } /* mma2ac1_ */ | |
1839 | ||
1840 | //======================================================================= | |
1841 | //function : mma2ac2_ | |
1842 | //purpose : | |
1843 | //======================================================================= | |
1844 | int AdvApp2Var_ApproxF2var::mma2ac2_(const integer *ndimen, | |
1845 | const integer *mxujac, | |
1846 | const integer *mxvjac, | |
1847 | const integer *iordrv, | |
1848 | const integer *nclimu, | |
1849 | const integer *ncfiv1, | |
1850 | const doublereal *crbiv1, | |
1851 | const integer *ncfiv2, | |
1852 | const doublereal *crbiv2, | |
1853 | const doublereal *vhermt, | |
1854 | doublereal *patjac) | |
1855 | ||
1856 | { | |
1857 | /* System generated locals */ | |
1858 | integer crbiv1_dim1, crbiv1_dim2, crbiv1_offset, crbiv2_dim1, crbiv2_dim2, | |
1859 | crbiv2_offset, patjac_dim1, patjac_dim2, patjac_offset, | |
1860 | vhermt_dim1, vhermt_offset, i__1, i__2, i__3, i__4; | |
41194117 | 1861 | |
7fd59977 | 1862 | /* Local variables */ |
1ef32e96 RL |
1863 | logical ldbg; |
1864 | integer ndgv1, ndgv2, ii, jj, nd, kk; | |
1865 | doublereal bid1, bid2; | |
7fd59977 | 1866 | |
1867 | /* ********************************************************************** | |
1868 | */ | |
1869 | ||
0d969553 | 1870 | /* FUNCTION : */ |
7fd59977 | 1871 | /* ---------- */ |
0d969553 | 1872 | /* Add polynoms of constraints */ |
7fd59977 | 1873 | |
0d969553 | 1874 | /* KEYWORDS : */ |
7fd59977 | 1875 | /* ----------- */ |
0d969553 | 1876 | /* FUNCTION,APPROXIMATION,COEFFICIENT,POLYNOM */ |
7fd59977 | 1877 | |
0d969553 | 1878 | /* INPUT ARGUMENTS : */ |
7fd59977 | 1879 | /* ------------------ */ |
0d969553 Y |
1880 | /* NDIMEN: Dimension of the space. */ |
1881 | /* MXUJAC: Max degree of the polynom of approximation by U. The */ | |
1882 | /* representation in the orthogonal base starts from degree */ | |
1883 | /* 0 to degree MXUJAC-2*(IORDRU+1). The polynomial base is the */ | |
1884 | /* base of Jacobi of order -1 (Legendre), 0, 1 or 2 */ | |
1885 | /* MXVJAC: Max degree of the polynom of approximation by V. The */ | |
1886 | /* representation in the orthogonal base starts from degree */ | |
1887 | /* 0 to degree MXUJAC-2*(IORDRU+1). The polynomial base is the */ | |
1888 | /* base of Jacobi of order -1 (Legendre), 0, 1 or 2 */ | |
1889 | /* IORDRV: Order of the base of Jacobi (-1,0,1 or 2) by V. Corresponds */ | |
1890 | /* to the step of constraints: C0, C1 or C2. */ | |
1891 | /* NCLIMU LIMIT nb of coeff by u of the solution P(u,v) | |
1892 | * NCFIV1: Nb of Coeff. of curves stored in CRBIV1. */ | |
1893 | /* CRBIV1: Table of coeffs of the approximation of iso-V0 and its */ | |
1894 | /* derivatives till order IORDRV. */ | |
1895 | /* NCFIV2: Nb of Coeff. of curves stored in CRBIV2. */ | |
1896 | /* CRBIV2: Table of coeffs of approximation of iso-V1 and its */ | |
1897 | /* derivatives till order IORDRV. */ | |
1898 | /* VHERMT: Coeff. of Hermit polynoms of order IORDRV. */ | |
1899 | /* PATJAC: Table of coefficients of the polynom P(u,v) of approximation */ | |
1900 | /* of F(u,v) WITHOUT taking into account the constraints. */ | |
1901 | ||
1902 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 1903 | /* ------------------- */ |
0d969553 Y |
1904 | /* PATJAC: Table of coefficients of the polynom P(u,v) by approximation */ |
1905 | /* of F(u,v) WITH taking into account of constraints. */ | |
258ff83b | 1906 | /* > */ |
7fd59977 | 1907 | |
7fd59977 | 1908 | |
7fd59977 | 1909 | /* > */ |
1910 | /* ********************************************************************** | |
1911 | */ | |
0d969553 | 1912 | /* Name of the routine */ |
7fd59977 | 1913 | |
1914 | /* --------------------------- Initialisations -------------------------- | |
1915 | */ | |
1916 | ||
1917 | /* Parameter adjustments */ | |
1918 | patjac_dim1 = *mxujac + 1; | |
1919 | patjac_dim2 = *mxvjac + 1; | |
1920 | patjac_offset = patjac_dim1 * patjac_dim2; | |
1921 | patjac -= patjac_offset; | |
1922 | vhermt_dim1 = (*iordrv << 1) + 2; | |
1923 | vhermt_offset = vhermt_dim1; | |
1924 | vhermt -= vhermt_offset; | |
1925 | --ncfiv2; | |
1926 | --ncfiv1; | |
1927 | crbiv2_dim1 = *nclimu; | |
1928 | crbiv2_dim2 = *ndimen; | |
1929 | crbiv2_offset = crbiv2_dim1 * (crbiv2_dim2 + 1); | |
1930 | crbiv2 -= crbiv2_offset; | |
1931 | crbiv1_dim1 = *nclimu; | |
1932 | crbiv1_dim2 = *ndimen; | |
1933 | crbiv1_offset = crbiv1_dim1 * (crbiv1_dim2 + 1); | |
1934 | crbiv1 -= crbiv1_offset; | |
1935 | ||
1936 | /* Function Body */ | |
1937 | ldbg = AdvApp2Var_SysBase::mnfndeb_() >= 3; | |
1938 | if (ldbg) { | |
1939 | AdvApp2Var_SysBase::mgenmsg_("MMA2AC2", 7L); | |
1940 | } | |
1941 | ||
0d969553 | 1942 | /* ------------ ADDING of coeff by u of curves, by v of Hermit -------- |
7fd59977 | 1943 | */ |
1944 | ||
1945 | i__1 = *iordrv + 1; | |
1946 | for (ii = 1; ii <= i__1; ++ii) { | |
1947 | ndgv1 = ncfiv1[ii] - 1; | |
1948 | ndgv2 = ncfiv2[ii] - 1; | |
1949 | i__2 = *ndimen; | |
1950 | for (nd = 1; nd <= i__2; ++nd) { | |
1951 | i__3 = (*iordrv << 1) + 1; | |
1952 | for (jj = 0; jj <= i__3; ++jj) { | |
1953 | bid1 = vhermt[jj + ((ii << 1) - 1) * vhermt_dim1]; | |
1954 | i__4 = ndgv1; | |
1955 | for (kk = 0; kk <= i__4; ++kk) { | |
1956 | patjac[kk + (jj + nd * patjac_dim2) * patjac_dim1] += | |
1957 | bid1 * crbiv1[kk + (nd + ii * crbiv1_dim2) * | |
1958 | crbiv1_dim1]; | |
1959 | /* L400: */ | |
1960 | } | |
1961 | bid2 = vhermt[jj + (ii << 1) * vhermt_dim1]; | |
1962 | i__4 = ndgv2; | |
1963 | for (kk = 0; kk <= i__4; ++kk) { | |
1964 | patjac[kk + (jj + nd * patjac_dim2) * patjac_dim1] += | |
1965 | bid2 * crbiv2[kk + (nd + ii * crbiv2_dim2) * | |
1966 | crbiv2_dim1]; | |
1967 | /* L500: */ | |
1968 | } | |
1969 | /* L300: */ | |
1970 | } | |
1971 | /* L200: */ | |
1972 | } | |
1973 | /* L100: */ | |
1974 | } | |
1975 | ||
1976 | /* ------------------------------ The end ------------------------------- | |
1977 | */ | |
1978 | ||
1979 | if (ldbg) { | |
1980 | AdvApp2Var_SysBase::mgsomsg_("MMA2AC2", 7L); | |
1981 | } | |
1982 | return 0; | |
1983 | } /* mma2ac2_ */ | |
1984 | ||
1985 | ||
1986 | //======================================================================= | |
1987 | //function : mma2ac3_ | |
1988 | //purpose : | |
1989 | //======================================================================= | |
1990 | int AdvApp2Var_ApproxF2var::mma2ac3_(const integer *ndimen, | |
1991 | const integer *mxujac, | |
1992 | const integer *mxvjac, | |
1993 | const integer *iordru, | |
1994 | const integer *nclimv, | |
1995 | const integer *ncfiu1, | |
1996 | const doublereal * crbiu1, | |
1997 | const integer *ncfiu2, | |
1998 | const doublereal *crbiu2, | |
1999 | const doublereal *uhermt, | |
2000 | doublereal *patjac) | |
2001 | ||
2002 | { | |
2003 | /* System generated locals */ | |
2004 | integer crbiu1_dim1, crbiu1_dim2, crbiu1_offset, crbiu2_dim1, crbiu2_dim2, | |
2005 | crbiu2_offset, patjac_dim1, patjac_dim2, patjac_offset, | |
2006 | uhermt_dim1, uhermt_offset, i__1, i__2, i__3, i__4; | |
41194117 | 2007 | |
7fd59977 | 2008 | /* Local variables */ |
1ef32e96 RL |
2009 | logical ldbg; |
2010 | integer ndgu1, ndgu2, ii, jj, nd, kk; | |
2011 | doublereal bid1, bid2; | |
7fd59977 | 2012 | |
2013 | /* ********************************************************************** | |
2014 | */ | |
2015 | ||
0d969553 | 2016 | /* FUNCTION : */ |
7fd59977 | 2017 | /* ---------- */ |
2018 | /* Ajout des polynomes de contraintes */ | |
2019 | ||
0d969553 | 2020 | /* KEYWORDS : */ |
7fd59977 | 2021 | /* ----------- */ |
2022 | /* FONCTION,APPROXIMATION,COEFFICIENT,POLYNOME */ | |
2023 | ||
0d969553 | 2024 | /* INPUT ARGUMENTS : */ |
7fd59977 | 2025 | /* ------------------ */ |
0d969553 Y |
2026 | /* NDIMEN: Dimension of the space. */ |
2027 | /* MXUJAC: Max degree of the polynom of approximation by U. The */ | |
2028 | /* representation in the orthogonal base starts from degree */ | |
2029 | /* 0 to degree MXUJAC-2*(IORDRU+1). The polynomial base is the */ | |
2030 | /* base of Jacobi of order -1 (Legendre), 0, 1 or 2 */ | |
2031 | /* MXVJAC: Max degree of the polynom of approximation by V. The */ | |
2032 | /* representation in the orthogonal base starts from degree */ | |
2033 | /* 0 to degree MXUJAC-2*(IORDRU+1). The polynomial base is the */ | |
2034 | /* base of Jacobi of order -1 (Legendre), 0, 1 or 2 */ | |
2035 | /* IORDRU: Order of the base of Jacobi (-1,0,1 or 2) by U. Corresponds */ | |
2036 | /* to the step of constraints: C0, C1 or C2. */ | |
2037 | /* NCLIMV LIMIT nb of coeff by v of the solution P(u,v) | |
2038 | * NCFIU1: Nb of Coeff. of curves stored in CRBIU1. */ | |
2039 | /* CRBIU1: Table of coeffs of the approximation of iso-U0 and its */ | |
2040 | /* derivatives till order IORDRU. */ | |
2041 | /* NCFIU2: Nb of Coeff. of curves stored in CRBIU2. */ | |
2042 | /* CRBIU2: Table of coeffs of approximation of iso-U1 and its */ | |
2043 | /* derivatives till order IORDRU */ | |
2044 | /* UHERMT: Coeff. of Hermit polynoms of order IORDRU. */ | |
2045 | /* PATJAC: Table of coefficients of the polynom P(u,v) of approximation */ | |
2046 | /* of F(u,v) WITHOUT taking into account the constraints. */ | |
2047 | ||
2048 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 2049 | /* ------------------- */ |
0d969553 Y |
2050 | /* PATJAC: Table of coefficients of the polynom P(u,v) by approximation */ |
2051 | /* of F(u,v) WITH taking into account of constraints. */ | |
7fd59977 | 2052 | |
7fd59977 | 2053 | |
7fd59977 | 2054 | /* > */ |
2055 | /* ********************************************************************** | |
2056 | */ | |
0d969553 | 2057 | /* The name of the routine */ |
7fd59977 | 2058 | |
0d969553 | 2059 | /* --------------------------- Initializations -------------------------- |
7fd59977 | 2060 | */ |
2061 | ||
2062 | /* Parameter adjustments */ | |
2063 | patjac_dim1 = *mxujac + 1; | |
2064 | patjac_dim2 = *mxvjac + 1; | |
2065 | patjac_offset = patjac_dim1 * patjac_dim2; | |
2066 | patjac -= patjac_offset; | |
2067 | uhermt_dim1 = (*iordru << 1) + 2; | |
2068 | uhermt_offset = uhermt_dim1; | |
2069 | uhermt -= uhermt_offset; | |
2070 | --ncfiu2; | |
2071 | --ncfiu1; | |
2072 | crbiu2_dim1 = *nclimv; | |
2073 | crbiu2_dim2 = *ndimen; | |
2074 | crbiu2_offset = crbiu2_dim1 * (crbiu2_dim2 + 1); | |
2075 | crbiu2 -= crbiu2_offset; | |
2076 | crbiu1_dim1 = *nclimv; | |
2077 | crbiu1_dim2 = *ndimen; | |
2078 | crbiu1_offset = crbiu1_dim1 * (crbiu1_dim2 + 1); | |
2079 | crbiu1 -= crbiu1_offset; | |
2080 | ||
2081 | /* Function Body */ | |
2082 | ldbg = AdvApp2Var_SysBase::mnfndeb_() >= 3; | |
2083 | if (ldbg) { | |
2084 | AdvApp2Var_SysBase::mgenmsg_("MMA2AC3", 7L); | |
2085 | } | |
2086 | ||
0d969553 | 2087 | /* ------------ ADDING of coeff by u of curves, by v of Hermit -------- |
7fd59977 | 2088 | */ |
2089 | ||
2090 | i__1 = *iordru + 1; | |
2091 | for (ii = 1; ii <= i__1; ++ii) { | |
2092 | ndgu1 = ncfiu1[ii] - 1; | |
2093 | ndgu2 = ncfiu2[ii] - 1; | |
2094 | i__2 = *ndimen; | |
2095 | for (nd = 1; nd <= i__2; ++nd) { | |
2096 | i__3 = ndgu1; | |
2097 | for (jj = 0; jj <= i__3; ++jj) { | |
2098 | bid1 = crbiu1[jj + (nd + ii * crbiu1_dim2) * crbiu1_dim1]; | |
2099 | i__4 = (*iordru << 1) + 1; | |
2100 | for (kk = 0; kk <= i__4; ++kk) { | |
2101 | patjac[kk + (jj + nd * patjac_dim2) * patjac_dim1] += | |
2102 | bid1 * uhermt[kk + ((ii << 1) - 1) * uhermt_dim1]; | |
2103 | /* L400: */ | |
2104 | } | |
2105 | /* L300: */ | |
2106 | } | |
2107 | i__3 = ndgu2; | |
2108 | for (jj = 0; jj <= i__3; ++jj) { | |
2109 | bid2 = crbiu2[jj + (nd + ii * crbiu2_dim2) * crbiu2_dim1]; | |
2110 | i__4 = (*iordru << 1) + 1; | |
2111 | for (kk = 0; kk <= i__4; ++kk) { | |
2112 | patjac[kk + (jj + nd * patjac_dim2) * patjac_dim1] += | |
2113 | bid2 * uhermt[kk + (ii << 1) * uhermt_dim1]; | |
2114 | /* L600: */ | |
2115 | } | |
2116 | /* L500: */ | |
2117 | } | |
2118 | ||
2119 | /* L200: */ | |
2120 | } | |
2121 | /* L100: */ | |
2122 | } | |
2123 | ||
2124 | /* ------------------------------ The end ------------------------------- | |
2125 | */ | |
2126 | ||
2127 | if (ldbg) { | |
2128 | AdvApp2Var_SysBase::mgsomsg_("MMA2AC3", 7L); | |
2129 | } | |
2130 | return 0; | |
2131 | } /* mma2ac3_ */ | |
2132 | ||
2133 | //======================================================================= | |
2134 | //function : mma2can_ | |
2135 | //purpose : | |
2136 | //======================================================================= | |
2137 | int AdvApp2Var_ApproxF2var::mma2can_(const integer *ncfmxu, | |
2138 | const integer *ncfmxv, | |
2139 | const integer *ndimen, | |
2140 | const integer *iordru, | |
2141 | const integer *iordrv, | |
2142 | const integer *ncoefu, | |
2143 | const integer *ncoefv, | |
2144 | const doublereal *patjac, | |
2145 | doublereal *pataux, | |
2146 | doublereal *patcan, | |
2147 | integer *iercod) | |
2148 | ||
2149 | { | |
2150 | /* System generated locals */ | |
2151 | integer patjac_dim1, patjac_dim2, patjac_offset, patcan_dim1, patcan_dim2, | |
2152 | patcan_offset, i__1, i__2; | |
41194117 | 2153 | |
7fd59977 | 2154 | /* Local variables */ |
1ef32e96 RL |
2155 | logical ldbg; |
2156 | integer ilon1, ilon2, ii, nd; | |
7fd59977 | 2157 | |
2158 | /* ********************************************************************** | |
2159 | */ | |
2160 | ||
0d969553 | 2161 | /* FUNCTION : */ |
7fd59977 | 2162 | /* ---------- */ |
0d969553 Y |
2163 | /* Change of Jacobi base to canonical (-1,1) and writing in a greater */ |
2164 | /* table. */ | |
7fd59977 | 2165 | |
0d969553 | 2166 | /* KEYWORDS : */ |
7fd59977 | 2167 | /* ----------- */ |
0d969553 | 2168 | /* ALL,AB_SPECIFI,CARREAU&,CONVERSION,JACOBI,CANNONIQUE,&CARREAU */ |
7fd59977 | 2169 | |
0d969553 | 2170 | /* INPUT ARGUMENTS : */ |
7fd59977 | 2171 | /* -------------------- */ |
0d969553 Y |
2172 | /* NCFMXU: Dimension by U of resulting table PATCAN */ |
2173 | /* NCFMXV: Dimension by V of resulting table PATCAN */ | |
2174 | /* NDIMEN: Dimension of the workspace. */ | |
2175 | /* IORDRU: Order of constraint by U */ | |
2176 | /* IORDRV: Order of constraint by V. */ | |
2177 | /* NCOEFU: Nb of coeff by U of square PATJAC */ | |
2178 | /* NCOEFV: Nb of coeff by V of square PATJAC */ | |
2179 | /* PATJAC: Square in the base of Jacobi of order IORDRU by U and */ | |
2180 | /* IORDRV by V. */ | |
2181 | ||
2182 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 2183 | /* --------------------- */ |
0d969553 Y |
2184 | /* PATAUX: Auxiliary Table. */ |
2185 | /* PATCAN: Table of coefficients in the canonic base. */ | |
2186 | /* IERCOD: Error code. */ | |
2187 | /* = 0, everything goes well, and all things are equal. */ | |
2188 | /* = 1, the program refuses to process with incorrect input arguments */ | |
2189 | ||
2190 | ||
2191 | /* COMMONS USED : */ | |
7fd59977 | 2192 | /* ------------------ */ |
2193 | ||
0d969553 | 2194 | /* REFERENCES CALLED : */ |
7fd59977 | 2195 | /* --------------------- */ |
2196 | ||
0d969553 | 2197 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 2198 | /* ----------------------------------- */ |
7fd59977 | 2199 | /* > */ |
2200 | /* ********************************************************************** | |
2201 | */ | |
2202 | ||
2203 | ||
2204 | /* Parameter adjustments */ | |
2205 | patcan_dim1 = *ncfmxu; | |
2206 | patcan_dim2 = *ncfmxv; | |
2207 | patcan_offset = patcan_dim1 * (patcan_dim2 + 1) + 1; | |
2208 | patcan -= patcan_offset; | |
2209 | --pataux; | |
2210 | patjac_dim1 = *ncoefu; | |
2211 | patjac_dim2 = *ncoefv; | |
2212 | patjac_offset = patjac_dim1 * (patjac_dim2 + 1) + 1; | |
2213 | patjac -= patjac_offset; | |
2214 | ||
2215 | /* Function Body */ | |
2216 | ldbg = AdvApp2Var_SysBase::mnfndeb_() >= 2; | |
2217 | if (ldbg) { | |
2218 | AdvApp2Var_SysBase::mgenmsg_("MMA2CAN", 7L); | |
2219 | } | |
2220 | *iercod = 0; | |
2221 | ||
2222 | if (*iordru < -1 || *iordru > 2) { | |
2223 | goto L9100; | |
2224 | } | |
2225 | if (*iordrv < -1 || *iordrv > 2) { | |
2226 | goto L9100; | |
2227 | } | |
2228 | if (*ncoefu > *ncfmxu || *ncoefv > *ncfmxv) { | |
2229 | goto L9100; | |
2230 | } | |
2231 | ||
0d969553 | 2232 | /* --> Pass to canonic base (-1,1) */ |
7fd59977 | 2233 | mmjacpt_(ndimen, ncoefu, ncoefv, iordru, iordrv, &patjac[patjac_offset], & |
2234 | pataux[1], &patcan[patcan_offset]); | |
2235 | ||
0d969553 | 2236 | /* --> Write all in a greater table */ |
fadcea2c RL |
2237 | AdvApp2Var_MathBase::mmfmca8_(ncoefu, |
2238 | ncoefv, | |
2239 | ndimen, | |
2240 | ncfmxu, | |
2241 | ncfmxv, | |
2242 | ndimen, | |
2243 | &patcan[patcan_offset], | |
2244 | &patcan[patcan_offset]); | |
7fd59977 | 2245 | |
0d969553 | 2246 | /* --> Complete with zeros the resulting table. */ |
7fd59977 | 2247 | ilon1 = *ncfmxu - *ncoefu; |
2248 | ilon2 = *ncfmxu * (*ncfmxv - *ncoefv); | |
2249 | i__1 = *ndimen; | |
2250 | for (nd = 1; nd <= i__1; ++nd) { | |
2251 | if (ilon1 > 0) { | |
2252 | i__2 = *ncoefv; | |
2253 | for (ii = 1; ii <= i__2; ++ii) { | |
2254 | AdvApp2Var_SysBase::mvriraz_(&ilon1, | |
fadcea2c | 2255 | &patcan[*ncoefu + 1 + (ii + nd * patcan_dim2) * patcan_dim1]); |
7fd59977 | 2256 | /* L110: */ |
2257 | } | |
2258 | } | |
2259 | if (ilon2 > 0) { | |
2260 | AdvApp2Var_SysBase::mvriraz_(&ilon2, | |
fadcea2c | 2261 | &patcan[(*ncoefv + 1 + nd * patcan_dim2) * patcan_dim1 + 1]); |
7fd59977 | 2262 | } |
2263 | /* L100: */ | |
2264 | } | |
2265 | ||
2266 | goto L9999; | |
2267 | ||
0d969553 | 2268 | /* ---------------------- |
7fd59977 | 2269 | */ |
2270 | ||
2271 | L9100: | |
2272 | *iercod = 1; | |
2273 | goto L9999; | |
2274 | ||
2275 | L9999: | |
2276 | AdvApp2Var_SysBase::maermsg_("MMA2CAN", iercod, 7L); | |
2277 | if (ldbg) { | |
2278 | AdvApp2Var_SysBase::mgsomsg_("MMA2CAN", 7L); | |
2279 | } | |
2280 | return 0 ; | |
2281 | } /* mma2can_ */ | |
2282 | ||
2283 | //======================================================================= | |
2284 | //function : mma2cd1_ | |
2285 | //purpose : | |
2286 | //======================================================================= | |
2287 | int mma2cd1_(integer *ndimen, | |
2288 | integer *nbpntu, | |
2289 | doublereal *urootl, | |
2290 | integer *nbpntv, | |
2291 | doublereal *vrootl, | |
2292 | integer *iordru, | |
2293 | integer *iordrv, | |
2294 | doublereal *contr1, | |
2295 | doublereal *contr2, | |
2296 | doublereal *contr3, | |
2297 | doublereal *contr4, | |
2298 | doublereal *fpntbu, | |
2299 | doublereal *fpntbv, | |
2300 | doublereal *uhermt, | |
2301 | doublereal *vhermt, | |
2302 | doublereal *sosotb, | |
2303 | doublereal *soditb, | |
2304 | doublereal *disotb, | |
2305 | doublereal *diditb) | |
2306 | ||
2307 | { | |
1ef32e96 | 2308 | integer c__1 = 1; |
41194117 | 2309 | |
7fd59977 | 2310 | /* System generated locals */ |
2311 | integer contr1_dim1, contr1_dim2, contr1_offset, contr2_dim1, contr2_dim2, | |
2312 | contr2_offset, contr3_dim1, contr3_dim2, contr3_offset, | |
2313 | contr4_dim1, contr4_dim2, contr4_offset, uhermt_dim1, | |
2314 | uhermt_offset, vhermt_dim1, vhermt_offset, fpntbu_dim1, | |
2315 | fpntbu_offset, fpntbv_dim1, fpntbv_offset, sosotb_dim1, | |
2316 | sosotb_dim2, sosotb_offset, diditb_dim1, diditb_dim2, | |
2317 | diditb_offset, soditb_dim1, soditb_dim2, soditb_offset, | |
2318 | disotb_dim1, disotb_dim2, disotb_offset, i__1, i__2, i__3, i__4, | |
2319 | i__5; | |
2320 | ||
2321 | /* Local variables */ | |
1ef32e96 | 2322 | integer ncfhu, ncfhv, nuroo, nvroo, nd, ii, jj, kk, ll, ibb, kkm, |
7fd59977 | 2323 | llm, kkp, llp; |
1ef32e96 RL |
2324 | doublereal bid1, bid2, bid3, bid4; |
2325 | doublereal diu1, diu2, div1, div2, sou1, sou2, sov1, sov2; | |
7fd59977 | 2326 | |
7fd59977 | 2327 | /* ********************************************************************** |
2328 | */ | |
2329 | ||
0d969553 | 2330 | /* FUNCTION : */ |
7fd59977 | 2331 | /* ---------- */ |
0d969553 Y |
2332 | /* Discretisation on the parameters of polynoms of interpolation */ |
2333 | /* of constraints at the corners of order IORDRE. */ | |
7fd59977 | 2334 | |
0d969553 | 2335 | /* KEYWORDS : */ |
7fd59977 | 2336 | /* ----------- */ |
2337 | /* TOUS, AB_SPECIFI::CONTRAINTE&, DISCRETISATION, &POINT */ | |
2338 | ||
0d969553 | 2339 | /* INPUT ARGUMENTS : */ |
7fd59977 | 2340 | /* ------------------ */ |
0d969553 Y |
2341 | /* NDIMEN: Dimension of the space. */ |
2342 | /* NBPNTU: Nb of INTERNAL parameters of discretisation by U. */ | |
2343 | /* This is also the nb of root of Legendre polynom where discretization is done. */ | |
2344 | /* UROOTL: Table of parameters of discretisation ON (-1,1) by U. | |
2345 | */ | |
2346 | /* NBPNTV: Nb of INTERNAL parameters of discretisation by V. */ | |
2347 | /* This is also the nb of root of Legendre polynom where discretization is done. */ | |
258ff83b | 2348 | /* VROOTL: Table of discretization parameters on (-1,1) by V. */ |
0d969553 Y |
2349 | /* IORDRU: Order of constraint imposed at the extremities of iso-V */ |
2350 | /* = 0, calculate the extremities of iso-V */ | |
2351 | /* = 1, calculate, additionally, the 1st derivative in the direction of iso-V */ | |
2352 | /* = 2, calculate, additionally, the 2nd derivative in the direction of iso-V */ | |
2353 | /* IORDRV: Order of constraint imposed at the extremities of iso-U */ | |
2354 | /* = 0, calculate the extremities of iso-U */ | |
2355 | /* = 1, calculate, additionally, the 1st derivative in the direction of iso-U */ | |
2356 | /* = 2, calculate, additionally, the 2nd derivative in the direction of iso-U */ | |
2357 | /* CONTR1: Contains, if IORDRU and IORDRV>=0, the values at the */ | |
2358 | /* extremities of F(U0,V0) and its derivatives. */ | |
2359 | /* CONTR2: Contains, if IORDRU and IORDRV>=0, the values at the */ | |
2360 | /* extremities of F(U1,V0) and its derivatives. */ | |
2361 | /* CONTR3: Contains, if IORDRU and IORDRV>=0, the values at the */ | |
2362 | /* extremities of F(U0,V1) and its derivatives. */ | |
2363 | /* CONTR4: Contains, if IORDRU and IORDRV>=0, the values at the */ | |
2364 | /* extremities of F(U1,V1) and its derivatives. */ | |
2365 | /* SOSOTB: Preinitialized table (input/output argument). */ | |
2366 | /* DISOTB: Preinitialized table (input/output argument). */ | |
2367 | /* SODITB: Preinitialized table (input/output argument). */ | |
2368 | /* DIDITB: Preinitialized table (input/output argument) */ | |
2369 | ||
2370 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 2371 | /* ------------------- */ |
0d969553 Y |
2372 | /* FPNTBU: Auxiliary table. */ |
2373 | /* FPNTBV: Auxiliary table. */ | |
2374 | /* UHERMT: Table of 2*(IORDRU+1) coeff. of 2*(IORDRU+1) polynoms of Hermite. */ | |
2375 | /* VHERMT: Table of 2*(IORDRV+1) coeff. of 2*(IORDRV+1) polynoms of Hermite. */ | |
2376 | /* SOSOTB: Table where the terms of constraints are added */ | |
7fd59977 | 2377 | /* C(ui,vj) + C(ui,-vj) + C(-ui,vj) + C(-ui,-vj) */ |
0d969553 Y |
2378 | /* with ui and vj positive roots of the Legendre polynom */ |
2379 | /* of degree NBPNTU and NBPNTV respectively. */ | |
2380 | /* DISOTB: Table where the terms of constraints are added */ | |
7fd59977 | 2381 | /* C(ui,vj) + C(ui,-vj) - C(-ui,vj) - C(-ui,-vj) */ |
0d969553 Y |
2382 | /* with ui and vj positive roots of the polynom of Legendre */ |
2383 | /* of degree NBPNTU and NBPNTV respectively. */ | |
2384 | /* SODITB: Table where the terms of constraints are added */ | |
7fd59977 | 2385 | /* C(ui,vj) - C(ui,-vj) + C(-ui,vj) - C(-ui,-vj) */ |
0d969553 Y |
2386 | /* with ui and vj positive roots of the polynom of Legendre */ |
2387 | /* of degree NBPNTU and NBPNTV respectively. */ | |
2388 | /* DIDITB: Table where the terms of constraints are added */ | |
7fd59977 | 2389 | /* C(ui,vj) - C(ui,-vj) - C(-ui,vj) + C(-ui,-vj) */ |
0d969553 Y |
2390 | /* with ui and vj positive roots of the polynom of Legendre */ |
2391 | /* of degree NBPNTU and NBPNTV respectively. */ | |
7fd59977 | 2392 | |
0d969553 | 2393 | /* COMMONS USED : */ |
7fd59977 | 2394 | /* ---------------- */ |
2395 | ||
0d969553 | 2396 | /* REFERENCES CALLED : */ |
7fd59977 | 2397 | /* ----------------------- */ |
2398 | ||
0d969553 | 2399 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 2400 | /* ----------------------------------- */ |
2401 | ||
7fd59977 | 2402 | /* > */ |
2403 | /* ********************************************************************** | |
2404 | */ | |
2405 | ||
0d969553 | 2406 | /* Name of the routine */ |
7fd59977 | 2407 | |
2408 | ||
2409 | /* Parameter adjustments */ | |
2410 | --urootl; | |
2411 | diditb_dim1 = *nbpntu / 2 + 1; | |
2412 | diditb_dim2 = *nbpntv / 2 + 1; | |
2413 | diditb_offset = diditb_dim1 * diditb_dim2; | |
2414 | diditb -= diditb_offset; | |
2415 | disotb_dim1 = *nbpntu / 2; | |
2416 | disotb_dim2 = *nbpntv / 2; | |
2417 | disotb_offset = disotb_dim1 * (disotb_dim2 + 1) + 1; | |
2418 | disotb -= disotb_offset; | |
2419 | soditb_dim1 = *nbpntu / 2; | |
2420 | soditb_dim2 = *nbpntv / 2; | |
2421 | soditb_offset = soditb_dim1 * (soditb_dim2 + 1) + 1; | |
2422 | soditb -= soditb_offset; | |
2423 | sosotb_dim1 = *nbpntu / 2 + 1; | |
2424 | sosotb_dim2 = *nbpntv / 2 + 1; | |
2425 | sosotb_offset = sosotb_dim1 * sosotb_dim2; | |
2426 | sosotb -= sosotb_offset; | |
2427 | --vrootl; | |
2428 | uhermt_dim1 = (*iordru << 1) + 2; | |
2429 | uhermt_offset = uhermt_dim1; | |
2430 | uhermt -= uhermt_offset; | |
2431 | fpntbu_dim1 = *nbpntu; | |
2432 | fpntbu_offset = fpntbu_dim1 + 1; | |
2433 | fpntbu -= fpntbu_offset; | |
2434 | vhermt_dim1 = (*iordrv << 1) + 2; | |
2435 | vhermt_offset = vhermt_dim1; | |
2436 | vhermt -= vhermt_offset; | |
2437 | fpntbv_dim1 = *nbpntv; | |
2438 | fpntbv_offset = fpntbv_dim1 + 1; | |
2439 | fpntbv -= fpntbv_offset; | |
2440 | contr4_dim1 = *ndimen; | |
2441 | contr4_dim2 = *iordru + 2; | |
2442 | contr4_offset = contr4_dim1 * (contr4_dim2 + 1) + 1; | |
2443 | contr4 -= contr4_offset; | |
2444 | contr3_dim1 = *ndimen; | |
2445 | contr3_dim2 = *iordru + 2; | |
2446 | contr3_offset = contr3_dim1 * (contr3_dim2 + 1) + 1; | |
2447 | contr3 -= contr3_offset; | |
2448 | contr2_dim1 = *ndimen; | |
2449 | contr2_dim2 = *iordru + 2; | |
2450 | contr2_offset = contr2_dim1 * (contr2_dim2 + 1) + 1; | |
2451 | contr2 -= contr2_offset; | |
2452 | contr1_dim1 = *ndimen; | |
2453 | contr1_dim2 = *iordru + 2; | |
2454 | contr1_offset = contr1_dim1 * (contr1_dim2 + 1) + 1; | |
2455 | contr1 -= contr1_offset; | |
2456 | ||
2457 | /* Function Body */ | |
2458 | ibb = AdvApp2Var_SysBase::mnfndeb_(); | |
2459 | if (ibb >= 3) { | |
2460 | AdvApp2Var_SysBase::mgenmsg_("MMA2CD1", 7L); | |
2461 | } | |
2462 | ||
0d969553 | 2463 | /* ------------------- Discretisation of Hermite polynoms ----------- |
7fd59977 | 2464 | */ |
2465 | ||
2466 | ncfhu = (*iordru + 1) << 1; | |
2467 | i__1 = ncfhu; | |
2468 | for (ii = 1; ii <= i__1; ++ii) { | |
2469 | i__2 = *nbpntu; | |
2470 | for (ll = 1; ll <= i__2; ++ll) { | |
2471 | AdvApp2Var_MathBase::mmmpocur_(&ncfhu, &c__1, &ncfhu, &uhermt[ii * uhermt_dim1], & | |
2472 | urootl[ll], &fpntbu[ll + ii * fpntbu_dim1]); | |
2473 | /* L20: */ | |
2474 | } | |
2475 | /* L10: */ | |
2476 | } | |
2477 | ncfhv = (*iordrv + 1) << 1; | |
2478 | i__1 = ncfhv; | |
2479 | for (jj = 1; jj <= i__1; ++jj) { | |
2480 | i__2 = *nbpntv; | |
2481 | for (kk = 1; kk <= i__2; ++kk) { | |
2482 | AdvApp2Var_MathBase::mmmpocur_(&ncfhv, &c__1, &ncfhv, &vhermt[jj * vhermt_dim1], & | |
2483 | vrootl[kk], &fpntbv[kk + jj * fpntbv_dim1]); | |
2484 | /* L40: */ | |
2485 | } | |
2486 | /* L30: */ | |
2487 | } | |
2488 | ||
0d969553 | 2489 | /* ---- The discretizations of polynoms of constraints are subtracted ---- |
7fd59977 | 2490 | */ |
2491 | ||
2492 | nuroo = *nbpntu / 2; | |
2493 | nvroo = *nbpntv / 2; | |
2494 | i__1 = *ndimen; | |
2495 | for (nd = 1; nd <= i__1; ++nd) { | |
2496 | ||
2497 | i__2 = *iordrv + 1; | |
2498 | for (jj = 1; jj <= i__2; ++jj) { | |
2499 | i__3 = *iordru + 1; | |
2500 | for (ii = 1; ii <= i__3; ++ii) { | |
2501 | bid1 = contr1[nd + (ii + jj * contr1_dim2) * contr1_dim1]; | |
2502 | bid2 = contr2[nd + (ii + jj * contr2_dim2) * contr2_dim1]; | |
2503 | bid3 = contr3[nd + (ii + jj * contr3_dim2) * contr3_dim1]; | |
2504 | bid4 = contr4[nd + (ii + jj * contr4_dim2) * contr4_dim1]; | |
2505 | ||
2506 | i__4 = nvroo; | |
2507 | for (kk = 1; kk <= i__4; ++kk) { | |
2508 | kkp = (*nbpntv + 1) / 2 + kk; | |
2509 | kkm = nvroo - kk + 1; | |
2510 | sov1 = fpntbv[kkp + ((jj << 1) - 1) * fpntbv_dim1] + | |
2511 | fpntbv[kkm + ((jj << 1) - 1) * fpntbv_dim1]; | |
2512 | div1 = fpntbv[kkp + ((jj << 1) - 1) * fpntbv_dim1] - | |
2513 | fpntbv[kkm + ((jj << 1) - 1) * fpntbv_dim1]; | |
2514 | sov2 = fpntbv[kkp + (jj << 1) * fpntbv_dim1] + fpntbv[kkm | |
2515 | + (jj << 1) * fpntbv_dim1]; | |
2516 | div2 = fpntbv[kkp + (jj << 1) * fpntbv_dim1] - fpntbv[kkm | |
2517 | + (jj << 1) * fpntbv_dim1]; | |
2518 | i__5 = nuroo; | |
2519 | for (ll = 1; ll <= i__5; ++ll) { | |
2520 | llp = (*nbpntu + 1) / 2 + ll; | |
2521 | llm = nuroo - ll + 1; | |
2522 | sou1 = fpntbu[llp + ((ii << 1) - 1) * fpntbu_dim1] + | |
2523 | fpntbu[llm + ((ii << 1) - 1) * fpntbu_dim1]; | |
2524 | diu1 = fpntbu[llp + ((ii << 1) - 1) * fpntbu_dim1] - | |
2525 | fpntbu[llm + ((ii << 1) - 1) * fpntbu_dim1]; | |
2526 | sou2 = fpntbu[llp + (ii << 1) * fpntbu_dim1] + fpntbu[ | |
2527 | llm + (ii << 1) * fpntbu_dim1]; | |
2528 | diu2 = fpntbu[llp + (ii << 1) * fpntbu_dim1] - fpntbu[ | |
2529 | llm + (ii << 1) * fpntbu_dim1]; | |
2530 | sosotb[ll + (kk + nd * sosotb_dim2) * sosotb_dim1] = | |
2531 | sosotb[ll + (kk + nd * sosotb_dim2) * | |
2532 | sosotb_dim1] - bid1 * sou1 * sov1 - bid2 * | |
2533 | sou2 * sov1 - bid3 * sou1 * sov2 - bid4 * | |
2534 | sou2 * sov2; | |
2535 | soditb[ll + (kk + nd * soditb_dim2) * soditb_dim1] = | |
2536 | soditb[ll + (kk + nd * soditb_dim2) * | |
2537 | soditb_dim1] - bid1 * sou1 * div1 - bid2 * | |
2538 | sou2 * div1 - bid3 * sou1 * div2 - bid4 * | |
2539 | sou2 * div2; | |
2540 | disotb[ll + (kk + nd * disotb_dim2) * disotb_dim1] = | |
2541 | disotb[ll + (kk + nd * disotb_dim2) * | |
2542 | disotb_dim1] - bid1 * diu1 * sov1 - bid2 * | |
2543 | diu2 * sov1 - bid3 * diu1 * sov2 - bid4 * | |
2544 | diu2 * sov2; | |
2545 | diditb[ll + (kk + nd * diditb_dim2) * diditb_dim1] = | |
2546 | diditb[ll + (kk + nd * diditb_dim2) * | |
2547 | diditb_dim1] - bid1 * diu1 * div1 - bid2 * | |
2548 | diu2 * div1 - bid3 * diu1 * div2 - bid4 * | |
2549 | diu2 * div2; | |
2550 | /* L450: */ | |
2551 | } | |
2552 | /* L400: */ | |
2553 | } | |
2554 | ||
0d969553 Y |
2555 | /* ------------ Case when the discretization is done only on the roots |
2556 | ----------- */ | |
2557 | /* ---------- of Legendre polynom of uneven degree, 0 is root | |
7fd59977 | 2558 | ----------- */ |
7fd59977 | 2559 | |
2560 | if (*nbpntu % 2 == 1) { | |
2561 | sou1 = fpntbu[nuroo + 1 + ((ii << 1) - 1) * fpntbu_dim1]; | |
2562 | sou2 = fpntbu[nuroo + 1 + (ii << 1) * fpntbu_dim1]; | |
2563 | i__4 = nvroo; | |
2564 | for (kk = 1; kk <= i__4; ++kk) { | |
2565 | kkp = (*nbpntv + 1) / 2 + kk; | |
2566 | kkm = nvroo - kk + 1; | |
2567 | sov1 = fpntbv[kkp + ((jj << 1) - 1) * fpntbv_dim1] + | |
2568 | fpntbv[kkm + ((jj << 1) - 1) * fpntbv_dim1]; | |
2569 | div1 = fpntbv[kkp + ((jj << 1) - 1) * fpntbv_dim1] - | |
2570 | fpntbv[kkm + ((jj << 1) - 1) * fpntbv_dim1]; | |
2571 | sov2 = fpntbv[kkp + (jj << 1) * fpntbv_dim1] + fpntbv[ | |
2572 | kkm + (jj << 1) * fpntbv_dim1]; | |
2573 | div2 = fpntbv[kkp + (jj << 1) * fpntbv_dim1] - fpntbv[ | |
2574 | kkm + (jj << 1) * fpntbv_dim1]; | |
2575 | sosotb[(kk + nd * sosotb_dim2) * sosotb_dim1] = | |
2576 | sosotb[(kk + nd * sosotb_dim2) * sosotb_dim1] | |
2577 | - bid1 * sou1 * sov1 - bid2 * sou2 * sov1 - | |
2578 | bid3 * sou1 * sov2 - bid4 * sou2 * sov2; | |
2579 | diditb[(kk + nd * diditb_dim2) * diditb_dim1] = | |
2580 | diditb[(kk + nd * diditb_dim2) * diditb_dim1] | |
2581 | - bid1 * sou1 * div1 - bid2 * sou2 * div1 - | |
2582 | bid3 * sou1 * div2 - bid4 * sou2 * div2; | |
2583 | /* L500: */ | |
2584 | } | |
2585 | } | |
2586 | ||
2587 | if (*nbpntv % 2 == 1) { | |
2588 | sov1 = fpntbv[nvroo + 1 + ((jj << 1) - 1) * fpntbv_dim1]; | |
2589 | sov2 = fpntbv[nvroo + 1 + (jj << 1) * fpntbv_dim1]; | |
2590 | i__4 = nuroo; | |
2591 | for (ll = 1; ll <= i__4; ++ll) { | |
2592 | llp = (*nbpntu + 1) / 2 + ll; | |
2593 | llm = nuroo - ll + 1; | |
2594 | sou1 = fpntbu[llp + ((ii << 1) - 1) * fpntbu_dim1] + | |
2595 | fpntbu[llm + ((ii << 1) - 1) * fpntbu_dim1]; | |
2596 | diu1 = fpntbu[llp + ((ii << 1) - 1) * fpntbu_dim1] - | |
2597 | fpntbu[llm + ((ii << 1) - 1) * fpntbu_dim1]; | |
2598 | sou2 = fpntbu[llp + (ii << 1) * fpntbu_dim1] + fpntbu[ | |
2599 | llm + (ii << 1) * fpntbu_dim1]; | |
2600 | diu2 = fpntbu[llp + (ii << 1) * fpntbu_dim1] - fpntbu[ | |
2601 | llm + (ii << 1) * fpntbu_dim1]; | |
2602 | sosotb[ll + nd * sosotb_dim2 * sosotb_dim1] = sosotb[ | |
2603 | ll + nd * sosotb_dim2 * sosotb_dim1] - bid1 * | |
2604 | sou1 * sov1 - bid2 * sou2 * sov1 - bid3 * | |
2605 | sou1 * sov2 - bid4 * sou2 * sov2; | |
2606 | diditb[ll + nd * diditb_dim2 * diditb_dim1] = diditb[ | |
2607 | ll + nd * diditb_dim2 * diditb_dim1] - bid1 * | |
2608 | diu1 * sov1 - bid2 * diu2 * sov1 - bid3 * | |
2609 | diu1 * sov2 - bid4 * diu2 * sov2; | |
2610 | /* L600: */ | |
2611 | } | |
2612 | } | |
2613 | ||
2614 | if (*nbpntu % 2 == 1 && *nbpntv % 2 == 1) { | |
2615 | sou1 = fpntbu[nuroo + 1 + ((ii << 1) - 1) * fpntbu_dim1]; | |
2616 | sou2 = fpntbu[nuroo + 1 + (ii << 1) * fpntbu_dim1]; | |
2617 | sov1 = fpntbv[nvroo + 1 + ((jj << 1) - 1) * fpntbv_dim1]; | |
2618 | sov2 = fpntbv[nvroo + 1 + (jj << 1) * fpntbv_dim1]; | |
2619 | sosotb[nd * sosotb_dim2 * sosotb_dim1] = sosotb[nd * | |
2620 | sosotb_dim2 * sosotb_dim1] - bid1 * sou1 * sov1 - | |
2621 | bid2 * sou2 * sov1 - bid3 * sou1 * sov2 - bid4 * | |
2622 | sou2 * sov2; | |
2623 | diditb[nd * diditb_dim2 * diditb_dim1] = diditb[nd * | |
2624 | diditb_dim2 * diditb_dim1] - bid1 * sou1 * sov1 - | |
2625 | bid2 * sou2 * sov1 - bid3 * sou1 * sov2 - bid4 * | |
2626 | sou2 * sov2; | |
2627 | } | |
2628 | ||
2629 | /* L300: */ | |
2630 | } | |
2631 | /* L200: */ | |
2632 | } | |
2633 | /* L100: */ | |
2634 | } | |
2635 | goto L9999; | |
2636 | ||
2637 | /* ------------------------------ The End ------------------------------- | |
2638 | */ | |
2639 | ||
2640 | L9999: | |
2641 | if (ibb >= 3) { | |
2642 | AdvApp2Var_SysBase::mgsomsg_("MMA2CD1", 7L); | |
2643 | } | |
2644 | return 0; | |
2645 | } /* mma2cd1_ */ | |
2646 | ||
2647 | //======================================================================= | |
2648 | //function : mma2cd2_ | |
2649 | //purpose : | |
2650 | //======================================================================= | |
2651 | int mma2cd2_(integer *ndimen, | |
2652 | integer *nbpntu, | |
2653 | integer *nbpntv, | |
2654 | doublereal *vrootl, | |
2655 | integer *iordrv, | |
2656 | doublereal *sotbv1, | |
2657 | doublereal *sotbv2, | |
2658 | doublereal *ditbv1, | |
2659 | doublereal *ditbv2, | |
2660 | doublereal *fpntab, | |
2661 | doublereal *vhermt, | |
2662 | doublereal *sosotb, | |
2663 | doublereal *soditb, | |
2664 | doublereal *disotb, | |
2665 | doublereal *diditb) | |
2666 | ||
2667 | { | |
1ef32e96 | 2668 | integer c__1 = 1; |
7fd59977 | 2669 | /* System generated locals */ |
2670 | integer sotbv1_dim1, sotbv1_dim2, sotbv1_offset, sotbv2_dim1, sotbv2_dim2, | |
2671 | sotbv2_offset, ditbv1_dim1, ditbv1_dim2, ditbv1_offset, | |
2672 | ditbv2_dim1, ditbv2_dim2, ditbv2_offset, fpntab_dim1, | |
2673 | fpntab_offset, vhermt_dim1, vhermt_offset, sosotb_dim1, | |
2674 | sosotb_dim2, sosotb_offset, diditb_dim1, diditb_dim2, | |
2675 | diditb_offset, soditb_dim1, soditb_dim2, soditb_offset, | |
2676 | disotb_dim1, disotb_dim2, disotb_offset, i__1, i__2, i__3, i__4; | |
41194117 | 2677 | |
7fd59977 | 2678 | /* Local variables */ |
1ef32e96 RL |
2679 | integer ncfhv, nuroo, nvroo, ii, nd, jj, kk, ibb, jjm, jjp; |
2680 | doublereal bid1, bid2, bid3, bid4; | |
7fd59977 | 2681 | |
2682 | /* ********************************************************************** | |
2683 | */ | |
0d969553 | 2684 | /* FUNCTION : */ |
7fd59977 | 2685 | /* ---------- */ |
0d969553 Y |
2686 | /* Discretisation on the parameters of polynoms of interpolation */ |
2687 | /* of constraints on 2 borders iso-V of order IORDRV. */ | |
7fd59977 | 2688 | |
0d969553 Y |
2689 | |
2690 | /* KEYWORDS : */ | |
7fd59977 | 2691 | /* ----------- */ |
2692 | /* TOUS, AB_SPECIFI::CONTRAINTE&, DISCRETISATION, &POINT */ | |
2693 | ||
7fd59977 | 2694 | |
0d969553 Y |
2695 | |
2696 | /* INPUT ARGUMENTS : */ | |
2697 | /* ------------------ */ | |
2698 | /* NDIMEN: Dimension of the space. */ | |
2699 | /* NBPNTU: Nb of INTERNAL parameters of discretisation by U. */ | |
2700 | /* This is also the nb of root of Legendre polynom where discretization is done. */ | |
2701 | /* UROOTL: Table of parameters of discretisation ON (-1,1) by U. | |
2702 | */ | |
2703 | /* NBPNTV: Nb of INTERNAL parameters of discretisation by V. */ | |
2704 | /* This is also the nb of root of Legendre polynom where discretization is done. */ | |
258ff83b | 2705 | /* VROOTL: Table of discretization parameters on (-1,1) by V. */ |
0d969553 Y |
2706 | /* IORDRV: Order of constraint imposed at the extremities of iso-V */ |
2707 | /* = 0, calculate the extremities of iso-V */ | |
2708 | /* = 1, calculate, additionally, the 1st derivative in the direction of iso-V */ | |
2709 | /* = 2, calculate, additionally, the 2nd derivative in the direction of iso-V */ | |
2710 | /* SOTBV1: Table of NBPNTV/2 sums of 2 index points */ | |
2711 | /* NBPNTV-II+1 and II, for II = 1, NBPNTV/2 on iso-V0. */ | |
2712 | /* SOTBV2: Table of NBPNTV/2 sums of 2 index points */ | |
2713 | /* NBPNTV-II+1 and II, for II = 1, NBPNTV/2 on iso-V1. */ | |
2714 | /* DITBV1: Table of NBPNTV/2 differences of 2 index points */ | |
2715 | /* NBPNTV-II+1 and II, for II = 1, NBPNTV/2 on iso-V0. */ | |
2716 | /* DITBV2: Table of NBPNTV/2 differences of 2 index points */ | |
2717 | /* NBPNTV-II+1 and II, for II = 1, NBPNTV/2 on iso-V1. */ | |
2718 | /* SOSOTB: Preinitialized table (input/output argument). */ | |
2719 | /* DISOTB: Preinitialized table (input/output argument). */ | |
2720 | /* SODITB: Preinitialized table (input/output argument). */ | |
2721 | /* DIDITB: Preinitialized table (input/output argument) */ | |
2722 | ||
2723 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 2724 | /* ------------------- */ |
0d969553 Y |
2725 | /* FPNTAB: Auxiliary table. */ |
2726 | /* VHERMT: Table of 2*(IORDRV+1) coeff. of 2*(IORDRV+1) polynoms of Hermite. */ | |
2727 | /* SOSOTB: Table where the terms of constraints are added */ | |
7fd59977 | 2728 | /* C(ui,vj) + C(ui,-vj) + C(-ui,vj) + C(-ui,-vj) */ |
0d969553 Y |
2729 | /* with ui and vj positive roots of the Legendre polynom */ |
2730 | /* of degree NBPNTU and NBPNTV respectively. */ | |
2731 | /* DISOTB: Table where the terms of constraints are added */ | |
7fd59977 | 2732 | /* C(ui,vj) + C(ui,-vj) - C(-ui,vj) - C(-ui,-vj) */ |
0d969553 Y |
2733 | /* with ui and vj positive roots of the polynom of Legendre */ |
2734 | /* of degree NBPNTU and NBPNTV respectively. */ | |
2735 | /* SODITB: Table where the terms of constraints are added */ | |
7fd59977 | 2736 | /* C(ui,vj) - C(ui,-vj) + C(-ui,vj) - C(-ui,-vj) */ |
0d969553 Y |
2737 | /* with ui and vj positive roots of the polynom of Legendre */ |
2738 | /* of degree NBPNTU and NBPNTV respectively. */ | |
2739 | /* DIDITB: Table where the terms of constraints are added */ | |
7fd59977 | 2740 | /* C(ui,vj) - C(ui,-vj) - C(-ui,vj) + C(-ui,-vj) */ |
0d969553 Y |
2741 | /* with ui and vj positive roots of the polynom of Legendre */ |
2742 | /* of degree NBPNTU and NBPNTV respectively. */ | |
7fd59977 | 2743 | |
0d969553 | 2744 | /* COMMONS USED : */ |
7fd59977 | 2745 | /* ---------------- */ |
2746 | ||
0d969553 | 2747 | /* REFERENCES CALLED : */ |
7fd59977 | 2748 | /* ----------------------- */ |
2749 | ||
0d969553 | 2750 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 2751 | /* ----------------------------------- */ |
2752 | ||
2753 | ||
7fd59977 | 2754 | /* > */ |
2755 | /* ********************************************************************** | |
2756 | */ | |
2757 | ||
0d969553 | 2758 | /* Name of the routine */ |
7fd59977 | 2759 | |
2760 | ||
2761 | /* Parameter adjustments */ | |
2762 | diditb_dim1 = *nbpntu / 2 + 1; | |
2763 | diditb_dim2 = *nbpntv / 2 + 1; | |
2764 | diditb_offset = diditb_dim1 * diditb_dim2; | |
2765 | diditb -= diditb_offset; | |
2766 | disotb_dim1 = *nbpntu / 2; | |
2767 | disotb_dim2 = *nbpntv / 2; | |
2768 | disotb_offset = disotb_dim1 * (disotb_dim2 + 1) + 1; | |
2769 | disotb -= disotb_offset; | |
2770 | soditb_dim1 = *nbpntu / 2; | |
2771 | soditb_dim2 = *nbpntv / 2; | |
2772 | soditb_offset = soditb_dim1 * (soditb_dim2 + 1) + 1; | |
2773 | soditb -= soditb_offset; | |
2774 | sosotb_dim1 = *nbpntu / 2 + 1; | |
2775 | sosotb_dim2 = *nbpntv / 2 + 1; | |
2776 | sosotb_offset = sosotb_dim1 * sosotb_dim2; | |
2777 | sosotb -= sosotb_offset; | |
2778 | --vrootl; | |
2779 | vhermt_dim1 = (*iordrv << 1) + 2; | |
2780 | vhermt_offset = vhermt_dim1; | |
2781 | vhermt -= vhermt_offset; | |
2782 | fpntab_dim1 = *nbpntv; | |
2783 | fpntab_offset = fpntab_dim1 + 1; | |
2784 | fpntab -= fpntab_offset; | |
2785 | ditbv2_dim1 = *nbpntu / 2 + 1; | |
2786 | ditbv2_dim2 = *ndimen; | |
2787 | ditbv2_offset = ditbv2_dim1 * (ditbv2_dim2 + 1); | |
2788 | ditbv2 -= ditbv2_offset; | |
2789 | ditbv1_dim1 = *nbpntu / 2 + 1; | |
2790 | ditbv1_dim2 = *ndimen; | |
2791 | ditbv1_offset = ditbv1_dim1 * (ditbv1_dim2 + 1); | |
2792 | ditbv1 -= ditbv1_offset; | |
2793 | sotbv2_dim1 = *nbpntu / 2 + 1; | |
2794 | sotbv2_dim2 = *ndimen; | |
2795 | sotbv2_offset = sotbv2_dim1 * (sotbv2_dim2 + 1); | |
2796 | sotbv2 -= sotbv2_offset; | |
2797 | sotbv1_dim1 = *nbpntu / 2 + 1; | |
2798 | sotbv1_dim2 = *ndimen; | |
2799 | sotbv1_offset = sotbv1_dim1 * (sotbv1_dim2 + 1); | |
2800 | sotbv1 -= sotbv1_offset; | |
2801 | ||
2802 | /* Function Body */ | |
2803 | ibb = AdvApp2Var_SysBase::mnfndeb_(); | |
2804 | if (ibb >= 3) { | |
2805 | AdvApp2Var_SysBase::mgenmsg_("MMA2CD2", 7L); | |
2806 | } | |
2807 | ||
0d969553 | 2808 | /* ------------------- Discretization of Hermit polynoms ----------- |
7fd59977 | 2809 | */ |
2810 | ||
2811 | ncfhv = (*iordrv + 1) << 1; | |
2812 | i__1 = ncfhv; | |
2813 | for (ii = 1; ii <= i__1; ++ii) { | |
2814 | i__2 = *nbpntv; | |
2815 | for (jj = 1; jj <= i__2; ++jj) { | |
2816 | AdvApp2Var_MathBase::mmmpocur_(&ncfhv, &c__1, &ncfhv, &vhermt[ii * vhermt_dim1], & | |
2817 | vrootl[jj], &fpntab[jj + ii * fpntab_dim1]); | |
2818 | /* L60: */ | |
2819 | } | |
2820 | /* L50: */ | |
2821 | } | |
2822 | ||
0d969553 | 2823 | /* ---- The discretizations of polynoms of constraints are subtracted ---- |
7fd59977 | 2824 | */ |
2825 | ||
2826 | nuroo = *nbpntu / 2; | |
2827 | nvroo = *nbpntv / 2; | |
2828 | ||
2829 | i__1 = *ndimen; | |
2830 | for (nd = 1; nd <= i__1; ++nd) { | |
2831 | i__2 = *iordrv + 1; | |
2832 | for (ii = 1; ii <= i__2; ++ii) { | |
2833 | ||
2834 | i__3 = nuroo; | |
2835 | for (kk = 1; kk <= i__3; ++kk) { | |
2836 | bid1 = sotbv1[kk + (nd + ii * sotbv1_dim2) * sotbv1_dim1]; | |
2837 | bid2 = sotbv2[kk + (nd + ii * sotbv2_dim2) * sotbv2_dim1]; | |
2838 | bid3 = ditbv1[kk + (nd + ii * ditbv1_dim2) * ditbv1_dim1]; | |
2839 | bid4 = ditbv2[kk + (nd + ii * ditbv2_dim2) * ditbv2_dim1]; | |
2840 | i__4 = nvroo; | |
2841 | for (jj = 1; jj <= i__4; ++jj) { | |
2842 | jjp = (*nbpntv + 1) / 2 + jj; | |
2843 | jjm = nvroo - jj + 1; | |
2844 | sosotb[kk + (jj + nd * sosotb_dim2) * sosotb_dim1] = | |
2845 | sosotb[kk + (jj + nd * sosotb_dim2) * sosotb_dim1] | |
2846 | - bid1 * (fpntab[jjp + ((ii << 1) - 1) * | |
2847 | fpntab_dim1] + fpntab[jjm + ((ii << 1) - 1) * | |
2848 | fpntab_dim1]) - bid2 * (fpntab[jjp + (ii << 1) * | |
2849 | fpntab_dim1] + fpntab[jjm + (ii << 1) * | |
2850 | fpntab_dim1]); | |
2851 | disotb[kk + (jj + nd * disotb_dim2) * disotb_dim1] = | |
2852 | disotb[kk + (jj + nd * disotb_dim2) * disotb_dim1] | |
2853 | - bid3 * (fpntab[jjp + ((ii << 1) - 1) * | |
2854 | fpntab_dim1] + fpntab[jjm + ((ii << 1) - 1) * | |
2855 | fpntab_dim1]) - bid4 * (fpntab[jjp + (ii << 1) * | |
2856 | fpntab_dim1] + fpntab[jjm + (ii << 1) * | |
2857 | fpntab_dim1]); | |
2858 | soditb[kk + (jj + nd * soditb_dim2) * soditb_dim1] = | |
2859 | soditb[kk + (jj + nd * soditb_dim2) * soditb_dim1] | |
2860 | - bid1 * (fpntab[jjp + ((ii << 1) - 1) * | |
2861 | fpntab_dim1] - fpntab[jjm + ((ii << 1) - 1) * | |
2862 | fpntab_dim1]) - bid2 * (fpntab[jjp + (ii << 1) * | |
2863 | fpntab_dim1] - fpntab[jjm + (ii << 1) * | |
2864 | fpntab_dim1]); | |
2865 | diditb[kk + (jj + nd * diditb_dim2) * diditb_dim1] = | |
2866 | diditb[kk + (jj + nd * diditb_dim2) * diditb_dim1] | |
2867 | - bid3 * (fpntab[jjp + ((ii << 1) - 1) * | |
2868 | fpntab_dim1] - fpntab[jjm + ((ii << 1) - 1) * | |
2869 | fpntab_dim1]) - bid4 * (fpntab[jjp + (ii << 1) * | |
2870 | fpntab_dim1] - fpntab[jjm + (ii << 1) * | |
2871 | fpntab_dim1]); | |
2872 | /* L400: */ | |
2873 | } | |
2874 | /* L300: */ | |
2875 | } | |
2876 | /* L200: */ | |
2877 | } | |
2878 | ||
0d969553 Y |
2879 | /* ------------ Case when the discretization is done only on the roots */ |
2880 | /* ---------- of Legendre polynom of uneven degree, 0 is root */ | |
2881 | ||
7fd59977 | 2882 | |
2883 | if (*nbpntv % 2 == 1) { | |
2884 | i__2 = *iordrv + 1; | |
2885 | for (ii = 1; ii <= i__2; ++ii) { | |
2886 | i__3 = nuroo; | |
2887 | for (kk = 1; kk <= i__3; ++kk) { | |
2888 | bid1 = sotbv1[kk + (nd + ii * sotbv1_dim2) * sotbv1_dim1] | |
2889 | * fpntab[nvroo + 1 + ((ii << 1) - 1) * | |
2890 | fpntab_dim1] + sotbv2[kk + (nd + ii * sotbv2_dim2) | |
2891 | * sotbv2_dim1] * fpntab[nvroo + 1 + (ii << 1) * | |
2892 | fpntab_dim1]; | |
2893 | sosotb[kk + nd * sosotb_dim2 * sosotb_dim1] -= bid1; | |
2894 | bid2 = ditbv1[kk + (nd + ii * ditbv1_dim2) * ditbv1_dim1] | |
2895 | * fpntab[nvroo + 1 + ((ii << 1) - 1) * | |
2896 | fpntab_dim1] + ditbv2[kk + (nd + ii * ditbv2_dim2) | |
2897 | * ditbv2_dim1] * fpntab[nvroo + 1 + (ii << 1) * | |
2898 | fpntab_dim1]; | |
2899 | diditb[kk + nd * diditb_dim2 * diditb_dim1] -= bid2; | |
2900 | /* L550: */ | |
2901 | } | |
2902 | /* L500: */ | |
2903 | } | |
2904 | } | |
2905 | ||
2906 | if (*nbpntu % 2 == 1) { | |
2907 | i__2 = *iordrv + 1; | |
2908 | for (ii = 1; ii <= i__2; ++ii) { | |
2909 | i__3 = nvroo; | |
2910 | for (jj = 1; jj <= i__3; ++jj) { | |
2911 | jjp = (*nbpntv + 1) / 2 + jj; | |
2912 | jjm = nvroo - jj + 1; | |
2913 | bid1 = sotbv1[(nd + ii * sotbv1_dim2) * sotbv1_dim1] * ( | |
2914 | fpntab[jjp + ((ii << 1) - 1) * fpntab_dim1] + | |
2915 | fpntab[jjm + ((ii << 1) - 1) * fpntab_dim1]) + | |
2916 | sotbv2[(nd + ii * sotbv2_dim2) * sotbv2_dim1] * ( | |
2917 | fpntab[jjp + (ii << 1) * fpntab_dim1] + fpntab[ | |
2918 | jjm + (ii << 1) * fpntab_dim1]); | |
2919 | sosotb[(jj + nd * sosotb_dim2) * sosotb_dim1] -= bid1; | |
2920 | bid2 = sotbv1[(nd + ii * sotbv1_dim2) * sotbv1_dim1] * ( | |
2921 | fpntab[jjp + ((ii << 1) - 1) * fpntab_dim1] - | |
2922 | fpntab[jjm + ((ii << 1) - 1) * fpntab_dim1]) + | |
2923 | sotbv2[(nd + ii * sotbv2_dim2) * sotbv2_dim1] * ( | |
2924 | fpntab[jjp + (ii << 1) * fpntab_dim1] - fpntab[ | |
2925 | jjm + (ii << 1) * fpntab_dim1]); | |
2926 | diditb[jj + nd * diditb_dim2 * diditb_dim1] -= bid2; | |
2927 | /* L650: */ | |
2928 | } | |
2929 | /* L600: */ | |
2930 | } | |
2931 | } | |
2932 | ||
2933 | if (*nbpntu % 2 == 1 && *nbpntv % 2 == 1) { | |
2934 | i__2 = *iordrv + 1; | |
2935 | for (ii = 1; ii <= i__2; ++ii) { | |
2936 | bid1 = sotbv1[(nd + ii * sotbv1_dim2) * sotbv1_dim1] * fpntab[ | |
2937 | nvroo + 1 + ((ii << 1) - 1) * fpntab_dim1] + sotbv2[( | |
2938 | nd + ii * sotbv2_dim2) * sotbv2_dim1] * fpntab[nvroo | |
2939 | + 1 + (ii << 1) * fpntab_dim1]; | |
2940 | sosotb[nd * sosotb_dim2 * sosotb_dim1] -= bid1; | |
2941 | /* L700: */ | |
2942 | } | |
2943 | } | |
2944 | ||
2945 | /* L100: */ | |
2946 | } | |
2947 | goto L9999; | |
2948 | ||
2949 | /* ------------------------------ The End ------------------------------- | |
2950 | */ | |
2951 | ||
2952 | L9999: | |
2953 | if (ibb >= 3) { | |
2954 | AdvApp2Var_SysBase::mgsomsg_("MMA2CD2", 7L); | |
2955 | } | |
2956 | return 0; | |
2957 | } /* mma2cd2_ */ | |
2958 | ||
2959 | //======================================================================= | |
2960 | //function : mma2cd3_ | |
2961 | //purpose : | |
2962 | //======================================================================= | |
2963 | int mma2cd3_(integer *ndimen, | |
2964 | integer *nbpntu, | |
2965 | doublereal *urootl, | |
2966 | integer *nbpntv, | |
2967 | integer *iordru, | |
2968 | doublereal *sotbu1, | |
2969 | doublereal *sotbu2, | |
2970 | doublereal *ditbu1, | |
2971 | doublereal *ditbu2, | |
2972 | doublereal *fpntab, | |
2973 | doublereal *uhermt, | |
2974 | doublereal *sosotb, | |
2975 | doublereal *soditb, | |
2976 | doublereal *disotb, | |
2977 | doublereal *diditb) | |
2978 | ||
2979 | { | |
1ef32e96 | 2980 | integer c__1 = 1; |
41194117 | 2981 | |
7fd59977 | 2982 | /* System generated locals */ |
2983 | integer sotbu1_dim1, sotbu1_dim2, sotbu1_offset, sotbu2_dim1, sotbu2_dim2, | |
2984 | sotbu2_offset, ditbu1_dim1, ditbu1_dim2, ditbu1_offset, | |
2985 | ditbu2_dim1, ditbu2_dim2, ditbu2_offset, fpntab_dim1, | |
2986 | fpntab_offset, uhermt_dim1, uhermt_offset, sosotb_dim1, | |
2987 | sosotb_dim2, sosotb_offset, diditb_dim1, diditb_dim2, | |
2988 | diditb_offset, soditb_dim1, soditb_dim2, soditb_offset, | |
2989 | disotb_dim1, disotb_dim2, disotb_offset, i__1, i__2, i__3, i__4; | |
2990 | ||
2991 | /* Local variables */ | |
1ef32e96 RL |
2992 | integer ncfhu, nuroo, nvroo, ii, nd, jj, kk, ibb, kkm, kkp; |
2993 | doublereal bid1, bid2, bid3, bid4; | |
7fd59977 | 2994 | |
2995 | /* ********************************************************************** | |
2996 | */ | |
0d969553 | 2997 | /* FUNCTION : */ |
7fd59977 | 2998 | /* ---------- */ |
0d969553 Y |
2999 | /* Discretisation on the parameters of polynoms of interpolation */ |
3000 | /* of constraints on 2 borders iso-U of order IORDRU. */ | |
7fd59977 | 3001 | |
0d969553 Y |
3002 | |
3003 | /* KEYWORDS : */ | |
7fd59977 | 3004 | /* ----------- */ |
3005 | /* TOUS, AB_SPECIFI::CONTRAINTE&, DISCRETISATION, &POINT */ | |
3006 | ||
0d969553 | 3007 | /* INPUT ARGUMENTS : */ |
7fd59977 | 3008 | /* ------------------ */ |
0d969553 Y |
3009 | /* NDIMEN: Dimension of the space. */ |
3010 | /* NBPNTU: Nb of INTERNAL parameters of discretisation by U. */ | |
3011 | /* This is also the nb of root of Legendre polynom where discretization is done. */ | |
3012 | /* UROOTL: Table of parameters of discretisation ON (-1,1) by U. | |
3013 | */ | |
3014 | /* NBPNTV: Nb of INTERNAL parameters of discretisation by V. */ | |
3015 | /* This is also the nb of root of Legendre polynom where discretization is done. */ | |
3016 | /* IORDRV: Order of constraint imposed at the extremities of iso-V */ | |
3017 | /* = 0, calculate the extremities of iso-V */ | |
3018 | /* = 1, calculate, additionally, the 1st derivative in the direction of iso-V */ | |
3019 | /* = 2, calculate, additionally, the 2nd derivative in the direction of iso-V */ | |
3020 | /* SOTBU1: Table of NBPNTU/2 sums of 2 index points */ | |
3021 | /* NBPNTU-II+1 and II, for II = 1, NBPNTU/2 on iso-V0. */ | |
3022 | /* SOTBU2: Table of NBPNTV/2 sums of 2 index points */ | |
3023 | /* NBPNTU-II+1 and II, for II = 1, NBPNTU/2 on iso-V1. */ | |
3024 | /* DITBU1: Table of NBPNTU/2 differences of 2 index points */ | |
3025 | /* NBPNTU-II+1 and II, for II = 1, NBPNTU/2 on iso-V0. */ | |
3026 | /* DITBU2: Table of NBPNTU/2 differences of 2 index points */ | |
3027 | /* NBPNTU-II+1 and II, for II = 1, NBPNTU/2 on iso-V1. */ | |
3028 | /* SOSOTB: Preinitialized table (input/output argument). */ | |
3029 | /* DISOTB: Preinitialized table (input/output argument). */ | |
3030 | /* SODITB: Preinitialized table (input/output argument). */ | |
3031 | /* DIDITB: Preinitialized table (input/output argument) */ | |
3032 | ||
3033 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 3034 | /* ------------------- */ |
0d969553 Y |
3035 | /* FPNTAB: Auxiliary table. */ |
3036 | /* UHERMT: Table of 2*(IORDRU+1) coeff. of 2*(IORDRU+1) polynoms of Hermite. */ | |
3037 | /* SOSOTB: Table where the terms of constraints are added */ | |
7fd59977 | 3038 | /* C(ui,vj) + C(ui,-vj) + C(-ui,vj) + C(-ui,-vj) */ |
0d969553 Y |
3039 | /* with ui and vj positive roots of the Legendre polynom */ |
3040 | /* of degree NBPNTU and NBPNTV respectively. */ | |
3041 | /* DISOTB: Table where the terms of constraints are added */ | |
7fd59977 | 3042 | /* C(ui,vj) + C(ui,-vj) - C(-ui,vj) - C(-ui,-vj) */ |
0d969553 Y |
3043 | /* with ui and vj positive roots of the polynom of Legendre */ |
3044 | /* of degree NBPNTU and NBPNTV respectively. */ | |
3045 | /* SODITB: Table where the terms of constraints are added */ | |
7fd59977 | 3046 | /* C(ui,vj) - C(ui,-vj) + C(-ui,vj) - C(-ui,-vj) */ |
0d969553 Y |
3047 | /* with ui and vj positive roots of the polynom of Legendre */ |
3048 | /* of degree NBPNTU and NBPNTV respectively. */ | |
3049 | /* DIDITB: Table where the terms of constraints are added */ | |
7fd59977 | 3050 | /* C(ui,vj) - C(ui,-vj) - C(-ui,vj) + C(-ui,-vj) */ |
0d969553 Y |
3051 | /* with ui and vj positive roots of the polynom of Legendre */ |
3052 | /* of degree NBPNTU and NBPNTV respectively. */ | |
7fd59977 | 3053 | |
0d969553 | 3054 | /* COMMONS USED : */ |
7fd59977 | 3055 | /* ---------------- */ |
3056 | ||
0d969553 | 3057 | /* REFERENCES CALLED : */ |
7fd59977 | 3058 | /* ----------------------- */ |
3059 | ||
0d969553 | 3060 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 3061 | /* ----------------------------------- */ |
3062 | ||
7fd59977 | 3063 | /* $ HISTORIQUE DES MODIFICATIONS : */ |
3064 | /* -------------------------------- */ | |
3065 | /* 08-08-1991: RBD; Creation. */ | |
3066 | /* > */ | |
3067 | /* ********************************************************************** | |
3068 | */ | |
3069 | ||
0d969553 | 3070 | /* Name of the routine */ |
7fd59977 | 3071 | |
3072 | ||
3073 | /* Parameter adjustments */ | |
3074 | --urootl; | |
3075 | diditb_dim1 = *nbpntu / 2 + 1; | |
3076 | diditb_dim2 = *nbpntv / 2 + 1; | |
3077 | diditb_offset = diditb_dim1 * diditb_dim2; | |
3078 | diditb -= diditb_offset; | |
3079 | disotb_dim1 = *nbpntu / 2; | |
3080 | disotb_dim2 = *nbpntv / 2; | |
3081 | disotb_offset = disotb_dim1 * (disotb_dim2 + 1) + 1; | |
3082 | disotb -= disotb_offset; | |
3083 | soditb_dim1 = *nbpntu / 2; | |
3084 | soditb_dim2 = *nbpntv / 2; | |
3085 | soditb_offset = soditb_dim1 * (soditb_dim2 + 1) + 1; | |
3086 | soditb -= soditb_offset; | |
3087 | sosotb_dim1 = *nbpntu / 2 + 1; | |
3088 | sosotb_dim2 = *nbpntv / 2 + 1; | |
3089 | sosotb_offset = sosotb_dim1 * sosotb_dim2; | |
3090 | sosotb -= sosotb_offset; | |
3091 | uhermt_dim1 = (*iordru << 1) + 2; | |
3092 | uhermt_offset = uhermt_dim1; | |
3093 | uhermt -= uhermt_offset; | |
3094 | fpntab_dim1 = *nbpntu; | |
3095 | fpntab_offset = fpntab_dim1 + 1; | |
3096 | fpntab -= fpntab_offset; | |
3097 | ditbu2_dim1 = *nbpntv / 2 + 1; | |
3098 | ditbu2_dim2 = *ndimen; | |
3099 | ditbu2_offset = ditbu2_dim1 * (ditbu2_dim2 + 1); | |
3100 | ditbu2 -= ditbu2_offset; | |
3101 | ditbu1_dim1 = *nbpntv / 2 + 1; | |
3102 | ditbu1_dim2 = *ndimen; | |
3103 | ditbu1_offset = ditbu1_dim1 * (ditbu1_dim2 + 1); | |
3104 | ditbu1 -= ditbu1_offset; | |
3105 | sotbu2_dim1 = *nbpntv / 2 + 1; | |
3106 | sotbu2_dim2 = *ndimen; | |
3107 | sotbu2_offset = sotbu2_dim1 * (sotbu2_dim2 + 1); | |
3108 | sotbu2 -= sotbu2_offset; | |
3109 | sotbu1_dim1 = *nbpntv / 2 + 1; | |
3110 | sotbu1_dim2 = *ndimen; | |
3111 | sotbu1_offset = sotbu1_dim1 * (sotbu1_dim2 + 1); | |
3112 | sotbu1 -= sotbu1_offset; | |
3113 | ||
3114 | /* Function Body */ | |
3115 | ibb = AdvApp2Var_SysBase::mnfndeb_(); | |
3116 | if (ibb >= 3) { | |
3117 | AdvApp2Var_SysBase::mgenmsg_("MMA2CD3", 7L); | |
3118 | } | |
3119 | ||
0d969553 | 3120 | /* ------------------- Discretization of polynoms of Hermit ----------- |
7fd59977 | 3121 | */ |
3122 | ||
3123 | ncfhu = (*iordru + 1) << 1; | |
3124 | i__1 = ncfhu; | |
3125 | for (ii = 1; ii <= i__1; ++ii) { | |
3126 | i__2 = *nbpntu; | |
3127 | for (kk = 1; kk <= i__2; ++kk) { | |
3128 | AdvApp2Var_MathBase::mmmpocur_(&ncfhu, | |
3129 | &c__1, | |
3130 | &ncfhu, | |
3131 | &uhermt[ii * uhermt_dim1], | |
3132 | &urootl[kk], | |
3133 | &fpntab[kk + ii * fpntab_dim1]); | |
3134 | /* L60: */ | |
3135 | } | |
3136 | /* L50: */ | |
3137 | } | |
3138 | ||
0d969553 | 3139 | /* ---- The discretizations of polynoms of constraints are subtracted ---- |
7fd59977 | 3140 | */ |
3141 | ||
3142 | nvroo = *nbpntv / 2; | |
3143 | nuroo = *nbpntu / 2; | |
3144 | ||
3145 | i__1 = *ndimen; | |
3146 | for (nd = 1; nd <= i__1; ++nd) { | |
3147 | i__2 = *iordru + 1; | |
3148 | for (ii = 1; ii <= i__2; ++ii) { | |
3149 | ||
3150 | i__3 = nvroo; | |
3151 | for (jj = 1; jj <= i__3; ++jj) { | |
3152 | bid1 = sotbu1[jj + (nd + ii * sotbu1_dim2) * sotbu1_dim1]; | |
3153 | bid2 = sotbu2[jj + (nd + ii * sotbu2_dim2) * sotbu2_dim1]; | |
3154 | bid3 = ditbu1[jj + (nd + ii * ditbu1_dim2) * ditbu1_dim1]; | |
3155 | bid4 = ditbu2[jj + (nd + ii * ditbu2_dim2) * ditbu2_dim1]; | |
3156 | i__4 = nuroo; | |
3157 | for (kk = 1; kk <= i__4; ++kk) { | |
3158 | kkp = (*nbpntu + 1) / 2 + kk; | |
3159 | kkm = nuroo - kk + 1; | |
3160 | sosotb[kk + (jj + nd * sosotb_dim2) * sosotb_dim1] = | |
3161 | sosotb[kk + (jj + nd * sosotb_dim2) * sosotb_dim1] | |
3162 | - bid1 * (fpntab[kkp + ((ii << 1) - 1) * | |
3163 | fpntab_dim1] + fpntab[kkm + ((ii << 1) - 1) * | |
3164 | fpntab_dim1]) - bid2 * (fpntab[kkp + (ii << 1) * | |
3165 | fpntab_dim1] + fpntab[kkm + (ii << 1) * | |
3166 | fpntab_dim1]); | |
3167 | disotb[kk + (jj + nd * disotb_dim2) * disotb_dim1] = | |
3168 | disotb[kk + (jj + nd * disotb_dim2) * disotb_dim1] | |
3169 | - bid1 * (fpntab[kkp + ((ii << 1) - 1) * | |
3170 | fpntab_dim1] - fpntab[kkm + ((ii << 1) - 1) * | |
3171 | fpntab_dim1]) - bid2 * (fpntab[kkp + (ii << 1) * | |
3172 | fpntab_dim1] - fpntab[kkm + (ii << 1) * | |
3173 | fpntab_dim1]); | |
3174 | soditb[kk + (jj + nd * soditb_dim2) * soditb_dim1] = | |
3175 | soditb[kk + (jj + nd * soditb_dim2) * soditb_dim1] | |
3176 | - bid3 * (fpntab[kkp + ((ii << 1) - 1) * | |
3177 | fpntab_dim1] + fpntab[kkm + ((ii << 1) - 1) * | |
3178 | fpntab_dim1]) - bid4 * (fpntab[kkp + (ii << 1) * | |
3179 | fpntab_dim1] + fpntab[kkm + (ii << 1) * | |
3180 | fpntab_dim1]); | |
3181 | diditb[kk + (jj + nd * diditb_dim2) * diditb_dim1] = | |
3182 | diditb[kk + (jj + nd * diditb_dim2) * diditb_dim1] | |
3183 | - bid3 * (fpntab[kkp + ((ii << 1) - 1) * | |
3184 | fpntab_dim1] - fpntab[kkm + ((ii << 1) - 1) * | |
3185 | fpntab_dim1]) - bid4 * (fpntab[kkp + (ii << 1) * | |
3186 | fpntab_dim1] - fpntab[kkm + (ii << 1) * | |
3187 | fpntab_dim1]); | |
3188 | /* L400: */ | |
3189 | } | |
3190 | /* L300: */ | |
3191 | } | |
3192 | /* L200: */ | |
3193 | } | |
3194 | ||
0d969553 Y |
3195 | /* ------------ Case when the discretization is done only on the roots */ |
3196 | /* ---------- of Legendre polynom of uneven degree, 0 is root */ | |
3197 | ||
3198 | ||
7fd59977 | 3199 | |
3200 | if (*nbpntu % 2 == 1) { | |
3201 | i__2 = *iordru + 1; | |
3202 | for (ii = 1; ii <= i__2; ++ii) { | |
3203 | i__3 = nvroo; | |
3204 | for (jj = 1; jj <= i__3; ++jj) { | |
3205 | bid1 = sotbu1[jj + (nd + ii * sotbu1_dim2) * sotbu1_dim1] | |
3206 | * fpntab[nuroo + 1 + ((ii << 1) - 1) * | |
3207 | fpntab_dim1] + sotbu2[jj + (nd + ii * sotbu2_dim2) | |
3208 | * sotbu2_dim1] * fpntab[nuroo + 1 + (ii << 1) * | |
3209 | fpntab_dim1]; | |
3210 | sosotb[(jj + nd * sosotb_dim2) * sosotb_dim1] -= bid1; | |
3211 | bid2 = ditbu1[jj + (nd + ii * ditbu1_dim2) * ditbu1_dim1] | |
3212 | * fpntab[nuroo + 1 + ((ii << 1) - 1) * | |
3213 | fpntab_dim1] + ditbu2[jj + (nd + ii * ditbu2_dim2) | |
3214 | * ditbu2_dim1] * fpntab[nuroo + 1 + (ii << 1) * | |
3215 | fpntab_dim1]; | |
3216 | diditb[(jj + nd * diditb_dim2) * diditb_dim1] -= bid2; | |
3217 | /* L550: */ | |
3218 | } | |
3219 | /* L500: */ | |
3220 | } | |
3221 | } | |
3222 | ||
3223 | if (*nbpntv % 2 == 1) { | |
3224 | i__2 = *iordru + 1; | |
3225 | for (ii = 1; ii <= i__2; ++ii) { | |
3226 | i__3 = nuroo; | |
3227 | for (kk = 1; kk <= i__3; ++kk) { | |
3228 | kkp = (*nbpntu + 1) / 2 + kk; | |
3229 | kkm = nuroo - kk + 1; | |
3230 | bid1 = sotbu1[(nd + ii * sotbu1_dim2) * sotbu1_dim1] * ( | |
3231 | fpntab[kkp + ((ii << 1) - 1) * fpntab_dim1] + | |
3232 | fpntab[kkm + ((ii << 1) - 1) * fpntab_dim1]) + | |
3233 | sotbu2[(nd + ii * sotbu2_dim2) * sotbu2_dim1] * ( | |
3234 | fpntab[kkp + (ii << 1) * fpntab_dim1] + fpntab[ | |
3235 | kkm + (ii << 1) * fpntab_dim1]); | |
3236 | sosotb[kk + nd * sosotb_dim2 * sosotb_dim1] -= bid1; | |
3237 | bid2 = sotbu1[(nd + ii * sotbu1_dim2) * sotbu1_dim1] * ( | |
3238 | fpntab[kkp + ((ii << 1) - 1) * fpntab_dim1] - | |
3239 | fpntab[kkm + ((ii << 1) - 1) * fpntab_dim1]) + | |
3240 | sotbu2[(nd + ii * sotbu2_dim2) * sotbu2_dim1] * ( | |
3241 | fpntab[kkp + (ii << 1) * fpntab_dim1] - fpntab[ | |
3242 | kkm + (ii << 1) * fpntab_dim1]); | |
3243 | diditb[kk + nd * diditb_dim2 * diditb_dim1] -= bid2; | |
3244 | /* L650: */ | |
3245 | } | |
3246 | /* L600: */ | |
3247 | } | |
3248 | } | |
3249 | ||
3250 | if (*nbpntu % 2 == 1 && *nbpntv % 2 == 1) { | |
3251 | i__2 = *iordru + 1; | |
3252 | for (ii = 1; ii <= i__2; ++ii) { | |
3253 | bid1 = sotbu1[(nd + ii * sotbu1_dim2) * sotbu1_dim1] * fpntab[ | |
3254 | nuroo + 1 + ((ii << 1) - 1) * fpntab_dim1] + sotbu2[( | |
3255 | nd + ii * sotbu2_dim2) * sotbu2_dim1] * fpntab[nuroo | |
3256 | + 1 + (ii << 1) * fpntab_dim1]; | |
3257 | sosotb[nd * sosotb_dim2 * sosotb_dim1] -= bid1; | |
3258 | /* L700: */ | |
3259 | } | |
3260 | } | |
3261 | ||
3262 | /* L100: */ | |
3263 | } | |
3264 | goto L9999; | |
3265 | ||
3266 | /* ------------------------------ The End ------------------------------- | |
3267 | */ | |
3268 | ||
3269 | L9999: | |
3270 | if (ibb >= 3) { | |
3271 | AdvApp2Var_SysBase::mgsomsg_("MMA2CD3", 7L); | |
3272 | } | |
3273 | return 0; | |
3274 | } /* mma2cd3_ */ | |
3275 | ||
3276 | //======================================================================= | |
3277 | //function : mma2cdi_ | |
3278 | //purpose : | |
3279 | //======================================================================= | |
3280 | int AdvApp2Var_ApproxF2var::mma2cdi_( integer *ndimen, | |
3281 | integer *nbpntu, | |
3282 | doublereal *urootl, | |
3283 | integer *nbpntv, | |
3284 | doublereal *vrootl, | |
3285 | integer *iordru, | |
3286 | integer *iordrv, | |
3287 | doublereal *contr1, | |
3288 | doublereal *contr2, | |
3289 | doublereal *contr3, | |
3290 | doublereal *contr4, | |
3291 | doublereal *sotbu1, | |
3292 | doublereal *sotbu2, | |
3293 | doublereal *ditbu1, | |
3294 | doublereal *ditbu2, | |
3295 | doublereal *sotbv1, | |
3296 | doublereal *sotbv2, | |
3297 | doublereal *ditbv1, | |
3298 | doublereal *ditbv2, | |
3299 | doublereal *sosotb, | |
3300 | doublereal *soditb, | |
3301 | doublereal *disotb, | |
3302 | doublereal *diditb, | |
3303 | integer *iercod) | |
3304 | ||
3305 | { | |
1ef32e96 | 3306 | integer c__8 = 8; |
7fd59977 | 3307 | |
3308 | /* System generated locals */ | |
3309 | integer contr1_dim1, contr1_dim2, contr1_offset, contr2_dim1, contr2_dim2, | |
3310 | contr2_offset, contr3_dim1, contr3_dim2, contr3_offset, | |
3311 | contr4_dim1, contr4_dim2, contr4_offset, sosotb_dim1, sosotb_dim2, | |
3312 | sosotb_offset, diditb_dim1, diditb_dim2, diditb_offset, | |
3313 | soditb_dim1, soditb_dim2, soditb_offset, disotb_dim1, disotb_dim2, | |
3314 | disotb_offset; | |
3315 | ||
3316 | /* Local variables */ | |
1ef32e96 RL |
3317 | integer ilong; |
3318 | intptr_t iofwr; | |
3319 | doublereal* wrkar = 0; | |
3320 | integer iszwr; | |
1d47d8d0 | 3321 | integer ibb, ier = 0; |
1ef32e96 RL |
3322 | integer isz1, isz2, isz3, isz4; |
3323 | intptr_t ipt1, ipt2, ipt3, ipt4; | |
7fd59977 | 3324 | |
3325 | ||
3326 | ||
3327 | ||
3328 | /* ********************************************************************** | |
3329 | */ | |
3330 | ||
0d969553 | 3331 | /* FUNCTION : */ |
7fd59977 | 3332 | /* ---------- */ |
0d969553 Y |
3333 | /* Discretisation on the parameters of polynomes of interpolation */ |
3334 | /* of constraints of order IORDRE. */ | |
7fd59977 | 3335 | |
0d969553 | 3336 | /* KEYWORDS : */ |
7fd59977 | 3337 | /* ----------- */ |
3338 | /* TOUS, AB_SPECIFI::CONTRAINTE&, DISCRETISATION, &POINT */ | |
3339 | ||
0d969553 | 3340 | //* INPUT ARGUMENTS : */ |
7fd59977 | 3341 | /* ------------------ */ |
0d969553 Y |
3342 | /* NDIMEN: Dimension of the space. */ |
3343 | /* NBPNTU: Nb of INTERNAL parameters of discretisation by U. */ | |
3344 | /* This is also the nb of root of Legendre polynom where discretization is done. */ | |
3345 | /* UROOTL: Table of parameters of discretisation ON (-1,1) by U. | |
3346 | */ | |
3347 | /* NBPNTV: Nb of INTERNAL parameters of discretisation by V. */ | |
3348 | /* This is also the nb of root of Legendre polynom where discretization is done. */ | |
258ff83b | 3349 | /* VROOTL: Table of parameters of discretisation ON (-1,1) by V.*/ |
0d969553 Y |
3350 | |
3351 | /* IORDRV: Order of constraint imposed at the extremities of iso-U */ | |
3352 | /* = 0, calculate the extremities of iso-U */ | |
3353 | /* = 1, calculate, additionally, the 1st derivative in the direction of iso-U */ | |
3354 | /* = 2, calculate, additionally, the 2nd derivative in the direction of iso-U */ | |
3355 | /* IORDRU: Order of constraint imposed at the extremities of iso-V */ | |
3356 | /* = 0, calculate the extremities of iso-V */ | |
3357 | /* = 1, calculate, additionally, the 1st derivative in the direction of iso-V */ | |
3358 | /* = 2, calculate, additionally, the 2nd derivative in the direction of iso-V */ | |
3359 | /* CONTR1: Contains, if IORDRU and IORDRV>=0, the values at the */ | |
3360 | /* extremities of F(U0,V0) and its derivatives. */ | |
3361 | /* CONTR2: Contains, if IORDRU and IORDRV>=0, the values at the */ | |
3362 | /* extremities of F(U1,V0) and its derivatives. */ | |
3363 | /* CONTR3: Contains, if IORDRU and IORDRV>=0, the values at the */ | |
3364 | /* extremities of F(U0,V1) and its derivatives. */ | |
3365 | /* CONTR4: Contains, if IORDRU and IORDRV>=0, the values at the */ | |
3366 | /* extremities of F(U1,V1) and its derivatives. */ | |
3367 | /* SOTBU1: Table of NBPNTU/2 sums of 2 index points */ | |
3368 | /* NBPNTU-II+1 and II, for II = 1, NBPNTU/2 on iso-V0. */ | |
3369 | /* SOTBU2: Table of NBPNTV/2 sums of 2 index points */ | |
3370 | /* NBPNTU-II+1 and II, for II = 1, NBPNTU/2 on iso-V1. */ | |
3371 | /* DITBU1: Table of NBPNTU/2 differences of 2 index points */ | |
3372 | /* NBPNTU-II+1 and II, for II = 1, NBPNTU/2 on iso-V0. */ | |
3373 | /* DITBU2: Table of NBPNTU/2 differences of 2 index points */ | |
3374 | /* NBPNTU-II+1 and II, for II = 1, NBPNTU/2 on iso-V1. */ | |
3375 | /* SOTBV1: Table of NBPNTV/2 sums of 2 index points */ | |
3376 | /* NBPNTV-II+1 and II, for II = 1, NBPNTV/2 on iso-V0. */ | |
3377 | /* SOTBV2: Table of NBPNTV/2 sums of 2 index points */ | |
3378 | /* NBPNTV-II+1 and II, for II = 1, NBPNTV/2 on iso-V1. */ | |
3379 | /* DITBV1: Table of NBPNTV/2 differences of 2 index points */ | |
3380 | /* NBPNTV-II+1 and II, for II = 1, NBPNTV/2 on iso-V0. */ | |
3381 | /* DITBV2: Table of NBPNTV/2 differences of 2 index points */ | |
3382 | /* NBPNTV-II+1 and II, for II = 1, NBPNTV/2 on iso-V1. */ | |
3383 | /* SOSOTB: Preinitialized table (input/output argument). */ | |
3384 | /* DISOTB: Preinitialized table (input/output argument). */ | |
3385 | /* SODITB: Preinitialized table (input/output argument). */ | |
3386 | /* DIDITB: Preinitialized table (input/output argument) */ | |
7fd59977 | 3387 | |
3388 | /* ARGUMENTS DE SORTIE : */ | |
3389 | /* ------------------- */ | |
0d969553 | 3390 | /* SOSOTB: Table where the terms of constraints are added */ |
7fd59977 | 3391 | /* C(ui,vj) + C(ui,-vj) + C(-ui,vj) + C(-ui,-vj) */ |
0d969553 Y |
3392 | /* with ui and vj positive roots of the Legendre polynom */ |
3393 | /* of degree NBPNTU and NBPNTV respectively. */ | |
3394 | /* DISOTB: Table where the terms of constraints are added */ | |
7fd59977 | 3395 | /* C(ui,vj) + C(ui,-vj) - C(-ui,vj) - C(-ui,-vj) */ |
0d969553 Y |
3396 | /* with ui and vj positive roots of the polynom of Legendre */ |
3397 | /* of degree NBPNTU and NBPNTV respectively. */ | |
3398 | /* SODITB: Table where the terms of constraints are added */ | |
7fd59977 | 3399 | /* C(ui,vj) - C(ui,-vj) + C(-ui,vj) - C(-ui,-vj) */ |
0d969553 Y |
3400 | /* with ui and vj positive roots of the polynom of Legendre */ |
3401 | /* of degree NBPNTU and NBPNTV respectively. */ | |
3402 | /* DIDITB: Table where the terms of constraints are added */ | |
7fd59977 | 3403 | /* C(ui,vj) - C(ui,-vj) - C(-ui,vj) + C(-ui,-vj) */ |
0d969553 Y |
3404 | /* with ui and vj positive roots of the polynom of Legendre */ |
3405 | /* of degree NBPNTU and NBPNTV respectively. */ | |
7fd59977 | 3406 | /* IERCOD: = 0, OK, */ |
0d969553 Y |
3407 | /* = 1, Value or IORDRV or IORDRU is out of allowed values. */ |
3408 | /* =13, Pb of dynamic allocation. */ | |
7fd59977 | 3409 | |
0d969553 | 3410 | /* COMMONS USED : */ |
7fd59977 | 3411 | /* ---------------- */ |
3412 | ||
0d969553 Y |
3413 | /* REFERENCES CALLED : */ |
3414 | /* -------------------- */ | |
7fd59977 | 3415 | |
0d969553 Y |
3416 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
3417 | /* ------------------------------- */ | |
7fd59977 | 3418 | |
7fd59977 | 3419 | /* > */ |
3420 | /* ********************************************************************** | |
3421 | */ | |
3422 | ||
0d969553 | 3423 | /* The name of the routine */ |
7fd59977 | 3424 | |
3425 | ||
3426 | /* Parameter adjustments */ | |
3427 | --urootl; | |
3428 | diditb_dim1 = *nbpntu / 2 + 1; | |
3429 | diditb_dim2 = *nbpntv / 2 + 1; | |
3430 | diditb_offset = diditb_dim1 * diditb_dim2; | |
3431 | diditb -= diditb_offset; | |
3432 | disotb_dim1 = *nbpntu / 2; | |
3433 | disotb_dim2 = *nbpntv / 2; | |
3434 | disotb_offset = disotb_dim1 * (disotb_dim2 + 1) + 1; | |
3435 | disotb -= disotb_offset; | |
3436 | soditb_dim1 = *nbpntu / 2; | |
3437 | soditb_dim2 = *nbpntv / 2; | |
3438 | soditb_offset = soditb_dim1 * (soditb_dim2 + 1) + 1; | |
3439 | soditb -= soditb_offset; | |
3440 | sosotb_dim1 = *nbpntu / 2 + 1; | |
3441 | sosotb_dim2 = *nbpntv / 2 + 1; | |
3442 | sosotb_offset = sosotb_dim1 * sosotb_dim2; | |
3443 | sosotb -= sosotb_offset; | |
3444 | --vrootl; | |
3445 | contr4_dim1 = *ndimen; | |
3446 | contr4_dim2 = *iordru + 2; | |
3447 | contr4_offset = contr4_dim1 * (contr4_dim2 + 1) + 1; | |
3448 | contr4 -= contr4_offset; | |
3449 | contr3_dim1 = *ndimen; | |
3450 | contr3_dim2 = *iordru + 2; | |
3451 | contr3_offset = contr3_dim1 * (contr3_dim2 + 1) + 1; | |
3452 | contr3 -= contr3_offset; | |
3453 | contr2_dim1 = *ndimen; | |
3454 | contr2_dim2 = *iordru + 2; | |
3455 | contr2_offset = contr2_dim1 * (contr2_dim2 + 1) + 1; | |
3456 | contr2 -= contr2_offset; | |
3457 | contr1_dim1 = *ndimen; | |
3458 | contr1_dim2 = *iordru + 2; | |
3459 | contr1_offset = contr1_dim1 * (contr1_dim2 + 1) + 1; | |
3460 | contr1 -= contr1_offset; | |
3461 | --sotbu1; | |
3462 | --sotbu2; | |
3463 | --ditbu1; | |
3464 | --ditbu2; | |
3465 | --sotbv1; | |
3466 | --sotbv2; | |
3467 | --ditbv1; | |
3468 | --ditbv2; | |
1ef32e96 | 3469 | AdvApp2Var_SysBase anAdvApp2Var_SysBase; |
7fd59977 | 3470 | |
3471 | /* Function Body */ | |
3472 | ibb = AdvApp2Var_SysBase::mnfndeb_(); | |
3473 | if (ibb >= 3) { | |
3474 | AdvApp2Var_SysBase::mgenmsg_("MMA2CDI", 7L); | |
3475 | } | |
3476 | *iercod = 0; | |
3477 | iofwr = 0; | |
3478 | if (*iordru < -1 || *iordru > 2) { | |
3479 | goto L9100; | |
3480 | } | |
3481 | if (*iordrv < -1 || *iordrv > 2) { | |
3482 | goto L9100; | |
3483 | } | |
3484 | ||
0d969553 | 3485 | /* ------------------------- Set to zero -------------------------------- |
7fd59977 | 3486 | */ |
3487 | ||
3488 | ilong = (*nbpntu / 2 + 1) * (*nbpntv / 2 + 1) * *ndimen; | |
fadcea2c RL |
3489 | AdvApp2Var_SysBase::mvriraz_(&ilong, &sosotb[sosotb_offset]); |
3490 | AdvApp2Var_SysBase::mvriraz_(&ilong, &diditb[diditb_offset]); | |
7fd59977 | 3491 | ilong = *nbpntu / 2 * (*nbpntv / 2) * *ndimen; |
fadcea2c RL |
3492 | AdvApp2Var_SysBase::mvriraz_(&ilong, &soditb[soditb_offset]); |
3493 | AdvApp2Var_SysBase::mvriraz_(&ilong, &disotb[disotb_offset]); | |
7fd59977 | 3494 | if (*iordru == -1 && *iordrv == -1) { |
3495 | goto L9999; | |
3496 | } | |
3497 | ||
3498 | ||
3499 | ||
3500 | isz1 = ((*iordru + 1) << 2) * (*iordru + 1); | |
3501 | isz2 = ((*iordrv + 1) << 2) * (*iordrv + 1); | |
3502 | isz3 = ((*iordru + 1) << 1) * *nbpntu; | |
3503 | isz4 = ((*iordrv + 1) << 1) * *nbpntv; | |
3504 | iszwr = isz1 + isz2 + isz3 + isz4; | |
1ef32e96 | 3505 | anAdvApp2Var_SysBase.mcrrqst_(&c__8, &iszwr, wrkar, &iofwr, &ier); |
7fd59977 | 3506 | if (ier > 0) { |
3507 | goto L9013; | |
3508 | } | |
3509 | ipt1 = iofwr; | |
3510 | ipt2 = ipt1 + isz1; | |
3511 | ipt3 = ipt2 + isz2; | |
3512 | ipt4 = ipt3 + isz3; | |
3513 | ||
3514 | if (*iordru >= 0 && *iordru <= 2) { | |
3515 | ||
0d969553 | 3516 | /* --- Return 2*(IORDRU+1) coeff of 2*(IORDRU+1) polynoms of Hermite |
7fd59977 | 3517 | --- */ |
3518 | ||
3519 | AdvApp2Var_ApproxF2var::mma1her_(iordru, &wrkar[ipt1], iercod); | |
3520 | if (*iercod > 0) { | |
3521 | goto L9100; | |
3522 | } | |
3523 | ||
0d969553 | 3524 | /* ---- Subract discretizations of polynoms of constraints |
7fd59977 | 3525 | ---- */ |
3526 | ||
3527 | mma2cd3_(ndimen, nbpntu, &urootl[1], nbpntv, iordru, &sotbu1[1], & | |
3528 | sotbu2[1], &ditbu1[1], &ditbu2[1], &wrkar[ipt3], &wrkar[ipt1], | |
3529 | &sosotb[sosotb_offset], &soditb[soditb_offset], &disotb[ | |
3530 | disotb_offset], &diditb[diditb_offset]); | |
3531 | } | |
3532 | ||
3533 | if (*iordrv >= 0 && *iordrv <= 2) { | |
3534 | ||
0d969553 | 3535 | /* --- Return 2*(IORDRV+1) coeff of 2*(IORDRV+1) polynoms of Hermite |
7fd59977 | 3536 | --- */ |
3537 | ||
3538 | AdvApp2Var_ApproxF2var::mma1her_(iordrv, &wrkar[ipt2], iercod); | |
3539 | if (*iercod > 0) { | |
3540 | goto L9100; | |
3541 | } | |
3542 | ||
0d969553 | 3543 | /* ---- Subtract discretisations of polynoms of constraint |
7fd59977 | 3544 | ---- */ |
3545 | ||
3546 | mma2cd2_(ndimen, nbpntu, nbpntv, &vrootl[1], iordrv, &sotbv1[1], & | |
3547 | sotbv2[1], &ditbv1[1], &ditbv2[1], &wrkar[ipt4], &wrkar[ipt2], | |
3548 | &sosotb[sosotb_offset], &soditb[soditb_offset], &disotb[ | |
3549 | disotb_offset], &diditb[diditb_offset]); | |
3550 | } | |
3551 | ||
0d969553 | 3552 | /* --------------- Subtract constraints of corners ---------------- |
7fd59977 | 3553 | */ |
3554 | ||
3555 | if (*iordru >= 0 && *iordrv >= 0) { | |
3556 | mma2cd1_(ndimen, nbpntu, &urootl[1], nbpntv, &vrootl[1], iordru, | |
3557 | iordrv, &contr1[contr1_offset], &contr2[contr2_offset], & | |
3558 | contr3[contr3_offset], &contr4[contr4_offset], &wrkar[ipt3], & | |
3559 | wrkar[ipt4], &wrkar[ipt1], &wrkar[ipt2], &sosotb[ | |
3560 | sosotb_offset], &soditb[soditb_offset], &disotb[disotb_offset] | |
3561 | , &diditb[diditb_offset]); | |
3562 | } | |
3563 | goto L9999; | |
3564 | ||
3565 | /* ------------------------------ The End ------------------------------- | |
3566 | */ | |
0d969553 | 3567 | /* --> IORDRE is not within the autorised diapason. */ |
7fd59977 | 3568 | L9100: |
3569 | *iercod = 1; | |
3570 | goto L9999; | |
0d969553 | 3571 | /* --> PB of dynamic allocation. */ |
7fd59977 | 3572 | L9013: |
3573 | *iercod = 13; | |
3574 | goto L9999; | |
3575 | ||
3576 | L9999: | |
3577 | if (iofwr != 0) { | |
1ef32e96 | 3578 | anAdvApp2Var_SysBase.mcrdelt_(&c__8, &iszwr, wrkar, &iofwr, &ier); |
7fd59977 | 3579 | } |
3580 | if (ier > 0) { | |
3581 | *iercod = 13; | |
3582 | } | |
3583 | AdvApp2Var_SysBase::maermsg_("MMA2CDI", iercod, 7L); | |
3584 | if (ibb >= 3) { | |
3585 | AdvApp2Var_SysBase::mgsomsg_("MMA2CDI", 7L); | |
3586 | } | |
3587 | return 0; | |
3588 | } /* mma2cdi_ */ | |
3589 | ||
3590 | //======================================================================= | |
3591 | //function : mma2ce1_ | |
3592 | //purpose : | |
3593 | //======================================================================= | |
3594 | int AdvApp2Var_ApproxF2var::mma2ce1_(integer *numdec, | |
3595 | integer *ndimen, | |
3596 | integer *nbsesp, | |
3597 | integer *ndimse, | |
3598 | integer *ndminu, | |
3599 | integer *ndminv, | |
3600 | integer *ndguli, | |
3601 | integer *ndgvli, | |
3602 | integer *ndjacu, | |
3603 | integer *ndjacv, | |
3604 | integer *iordru, | |
3605 | integer *iordrv, | |
3606 | integer *nbpntu, | |
3607 | integer *nbpntv, | |
3608 | doublereal *epsapr, | |
3609 | doublereal *sosotb, | |
3610 | doublereal *disotb, | |
3611 | doublereal *soditb, | |
3612 | doublereal *diditb, | |
3613 | doublereal *patjac, | |
3614 | doublereal *errmax, | |
3615 | doublereal *errmoy, | |
3616 | integer *ndegpu, | |
3617 | integer *ndegpv, | |
3618 | integer *itydec, | |
3619 | integer *iercod) | |
3620 | ||
3621 | { | |
1ef32e96 | 3622 | integer c__8 = 8; |
7fd59977 | 3623 | |
3624 | /* System generated locals */ | |
3625 | integer sosotb_dim1, sosotb_dim2, sosotb_offset, disotb_dim1, disotb_dim2, | |
3626 | disotb_offset, soditb_dim1, soditb_dim2, soditb_offset, | |
3627 | diditb_dim1, diditb_dim2, diditb_offset, patjac_dim1, patjac_dim2, | |
3628 | patjac_offset; | |
3629 | ||
3630 | /* Local variables */ | |
1ef32e96 RL |
3631 | logical ldbg; |
3632 | intptr_t iofwr; | |
3633 | doublereal* wrkar = 0; | |
3634 | integer iszwr; | |
3635 | integer ier; | |
3636 | integer isz1, isz2, isz3, isz4, isz5, isz6, isz7; | |
3637 | intptr_t ipt1, ipt2, ipt3, ipt4, ipt5, ipt6, ipt7; | |
7fd59977 | 3638 | |
3639 | ||
3640 | ||
3641 | /* ********************************************************************** | |
3642 | */ | |
3643 | ||
0d969553 | 3644 | /* FUNCTION : */ |
7fd59977 | 3645 | /* ---------- */ |
0d969553 Y |
3646 | /* Calculation of coefficients of polynomial approximation of degree */ |
3647 | /* (NDJACU,NDJACV) of a function F(u,v), starting from its */ | |
3648 | /* discretization on roots of Legendre polynom of degree */ | |
3649 | /* NBPNTU by U and NBPNTV by V. */ | |
7fd59977 | 3650 | |
0d969553 | 3651 | /* KEYWORDS : */ |
7fd59977 | 3652 | /* ----------- */ |
3653 | /* TOUS,AB_SPECIFI::FONCTION&,APPROXIMATION,&POLYNOME,&ERREUR */ | |
3654 | ||
0d969553 | 3655 | /* INPUT ARGUMENTS : */ |
7fd59977 | 3656 | /* ------------------ */ |
0d969553 Y |
3657 | /* NUMDEC: Indicates if it is POSSIBLE to cut function F(u,v). */ |
3658 | /* = 5, It is POSSIBLE to cut by U or by V or in both directions simultaneously. */ | |
3659 | /* = 4, It is POSSIBLE to cut by U or by V BUT NOT in both */ | |
3660 | /* directions simultaneously (cutting by V is preferable). */ | |
3661 | /* = 3, It is POSSIBLE to cut by U or by V BUT NOT in both */ | |
3662 | /* directions simultaneously (cutting by U is preferable). */ | |
3663 | /* = 2, It is POSSIBLE to cut only by V (i.e. insert parameter */ | |
3664 | /* of cutting Vj). */ | |
3665 | /* = 1, It is POSSIBLE to cut only by U (i.e. insert parameter */ | |
3666 | /* of cutting Ui). */ | |
3667 | /* = 0, It is not POSSIBLE to cut anything */ | |
3668 | /* NDIMEN: Dimension of the space. */ | |
3669 | /* NBSESP: Nb of independent sub-spaces on which the errors are calculated. */ | |
3670 | /* NDIMSE: Table of dimensions of each of sub-spaces. */ | |
3671 | /* NDMINU: Minimum degree by U to be preserved for the approximation. */ | |
3672 | /* NDMINV: Minimum degree by V to be preserved for the approximation. */ | |
3673 | /* NDGULI: Limit of nb of coefficients by U of the solution. */ | |
3674 | /* NDGVLI: Limit of nb of coefficients by V of the solution. */ | |
3675 | /* NDJACU: Max degree of the polynom of approximation by U. */ | |
3676 | /* The representation in the orthogonal base starts from degree */ | |
3677 | /* 0 to degree NDJACU-2*(IORDRU+1). The polynomial base is the base of */ | |
3678 | /* Jacobi of order -1 (Legendre), 0, 1 or 2. */ | |
3679 | /* It is required that 2*IORDRU+1 <= NDMINU <= NDGULI < NDJACU */ | |
3680 | /* NDJACV: Max degree of the polynom of approximation by V. */ | |
3681 | /* The representation in the orthogonal base starts from degree */ | |
3682 | /* 0 to degree NDJACV-2*(IORDRV+1). The polynomial base is */ | |
3683 | /* the base of Jacobi of order -1 (Legendre), 0, 1 or 2 */ | |
3684 | /* It is required that 2*IORDRV+1 <= NDMINV <= NDGVLI < NDJACV */ | |
3685 | /* IORDRU: Order of the Jacobi base (-1,0,1 or 2) by U. Corresponds */ | |
3686 | /* to the step of constraints C0, C1 or C2. */ | |
3687 | /* IORDRV: Order of the Jacobi base (-1,0,1 or 2) by U. Corresponds */ | |
3688 | /* to the step of constraints C0, C1 or C2. */ | |
3689 | /* NBPNTU: Degree of Legendre polynom on the roots which of are */ | |
3690 | /* calculated the coefficients of integration by u */ | |
3691 | /* by Gauss method. It is required that NBPNTU = 30, 40, */ | |
3692 | /* 50 or 61 and NDJACU-2*(IORDRU+1) < NBPNTU. */ | |
3693 | /* NBPNTV: Degree of Legendre polynom on the roots which of are */ | |
3694 | /* calculated the coefficients of integration by u */ | |
3695 | /* by Gauss method. It is required that NBPNTV = 30, 40, */ | |
3696 | /* 50 or 61 and NDJACV-2*(IORDRV+1) < NBPNTV. */ | |
3697 | /* EPSAPR: Table of NBSESP tolerances imposed on each sub-spaces. */ | |
3698 | /* SOSOTB: Table of F(ui,vj) + F(ui,-vj) + F(-ui,vj) + F(-ui,-vj) */ | |
3699 | /* with ui and vj - positive roots of the Legendre polynom */ | |
3700 | /* of degree NBPNTU and NBPNTV respectively. Additionally, */ | |
3701 | /* table SOSOTB(0,j) contains F(0,vj) + F(0,-vj), */ | |
3702 | /* table SOSOTB(i,0) contains F(ui,0) + F(-ui,0) and */ | |
3703 | /* SOSOTB(0,0) contains F(0,0). */ | |
3704 | /* DISOTB: Table of F(ui,vj) + F(ui,-vj) - F(-ui,vj) - F(-ui,-vj) */ | |
3705 | /* with ui and vj positive roots of Legendre polynom */ | |
3706 | /* of degree NBPNTU and NBPNTV respectively. */ | |
3707 | /* SODITB: Table of F(ui,vj) - F(ui,-vj) + F(-ui,vj) - F(-ui,-vj) */ | |
3708 | /* with ui and vj positive roots of Legendre polynom */ | |
3709 | /* of degree NBPNTU and NBPNTV respectively. */ | |
3710 | /* DIDITB: Table of F(ui,vj) - F(ui,-vj) - F(-ui,vj) + F(-ui,-vj) */ | |
3711 | /* with ui and vj positive roots of Legendre polynom */ | |
3712 | /* of degree NBPNTU and NBPNTV respectively. Additionally, */ | |
3713 | /* table DIDITB(0,j) contains F(0,vj) - F(0,-vj), */ | |
3714 | /* and table DIDITB(i,0) contains F(ui,0) - F(-ui,0). */ | |
3715 | ||
3716 | /* OUTPUT ARGUMENTS */ | |
3717 | /* --------------- */ | |
3718 | /* PATJAC: Table of coefficients of polynom P(u,v) of approximation */ | |
3719 | /* of F(u,v) with eventually taking into account of */ | |
3720 | /* constraints. P(u,v) is of degree (NDJACU,NDJACV). */ | |
3721 | /* This table contains other coeff if ITYDEC = 0. */ | |
3722 | /* ERRMAX: For 1<=i<=NBSESP, ERRMAX(i) contains max errors */ | |
3723 | /* on each of sub-spaces SI ITYDEC = 0. */ | |
3724 | /* ERRMOY: Contains average errors for each of NBSESP sub-spaces SI ITYDEC = 0. */ | |
3725 | /* NDEGPU: Degree by U for square PATJAC. Valable if ITYDEC=0. */ | |
3726 | /* NDEGPV: Degree by V for square PATJAC. Valable if ITYDEC=0. */ | |
3727 | /* ITYDEC: Shows if it is NECESSARY to cut again function F(u,v). */ | |
3728 | /* = 0, it is not NECESSARY to cut anything, PATJAC is OK. */ | |
3729 | /* = 1, it is NECESSARY to cut only by U (i.e. insert parameter of cutting Ui). */ | |
3730 | /* = 2, it is NECESSARY to cut only by V (i.e. insert parameter of cutting Vj). */ | |
3731 | /* = 3, it is NECESSARY to cut both by U AND by V. */ | |
3732 | /* IERCOD: Error code. */ | |
3733 | /* = 0, Everything is OK. */ | |
3734 | /* = -1, There is the best possible solution, but the */ | |
3735 | /* user tolerance is not satisfactory (3*only) */ | |
3736 | /* = 1, Incoherent entries. */ | |
3737 | ||
3738 | /* COMMONS USED : */ | |
7fd59977 | 3739 | /* ---------------- */ |
3740 | ||
0d969553 Y |
3741 | /* REFERENCES CALLED : */ |
3742 | /* --------------------- */ | |
7fd59977 | 3743 | |
0d969553 Y |
3744 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
3745 | /* ------------------------------- */ | |
7fd59977 | 3746 | |
7fd59977 | 3747 | /* > */ |
3748 | /* ********************************************************************** | |
3749 | */ | |
0d969553 | 3750 | /* Name of the routine */ |
7fd59977 | 3751 | |
3752 | ||
3753 | /* --------------------------- Initialisations -------------------------- | |
3754 | */ | |
3755 | ||
3756 | /* Parameter adjustments */ | |
3757 | --errmoy; | |
3758 | --errmax; | |
3759 | --epsapr; | |
3760 | --ndimse; | |
3761 | patjac_dim1 = *ndjacu + 1; | |
3762 | patjac_dim2 = *ndjacv + 1; | |
3763 | patjac_offset = patjac_dim1 * patjac_dim2; | |
3764 | patjac -= patjac_offset; | |
3765 | diditb_dim1 = *nbpntu / 2 + 1; | |
3766 | diditb_dim2 = *nbpntv / 2 + 1; | |
3767 | diditb_offset = diditb_dim1 * diditb_dim2; | |
3768 | diditb -= diditb_offset; | |
3769 | soditb_dim1 = *nbpntu / 2; | |
3770 | soditb_dim2 = *nbpntv / 2; | |
3771 | soditb_offset = soditb_dim1 * (soditb_dim2 + 1) + 1; | |
3772 | soditb -= soditb_offset; | |
3773 | disotb_dim1 = *nbpntu / 2; | |
3774 | disotb_dim2 = *nbpntv / 2; | |
3775 | disotb_offset = disotb_dim1 * (disotb_dim2 + 1) + 1; | |
3776 | disotb -= disotb_offset; | |
3777 | sosotb_dim1 = *nbpntu / 2 + 1; | |
3778 | sosotb_dim2 = *nbpntv / 2 + 1; | |
3779 | sosotb_offset = sosotb_dim1 * sosotb_dim2; | |
3780 | sosotb -= sosotb_offset; | |
3781 | ||
3782 | /* Function Body */ | |
3783 | ldbg = AdvApp2Var_SysBase::mnfndeb_() >= 3; | |
3784 | if (ldbg) { | |
3785 | AdvApp2Var_SysBase::mgenmsg_("MMA2CE1", 7L); | |
3786 | } | |
3787 | *iercod = 0; | |
3788 | iofwr = 0; | |
3789 | ||
3790 | isz1 = (*nbpntu / 2 + 1) * (*ndjacu - ((*iordru + 1) << 1) + 1); | |
3791 | isz2 = (*nbpntv / 2 + 1) * (*ndjacv - ((*iordrv + 1) << 1) + 1); | |
3792 | isz3 = (*nbpntv / 2 + 1) * (*ndjacu - ((*iordru + 1) << 1) + 1) * *ndimen; | |
3793 | isz4 = *nbpntv / 2 * (*ndjacu - ((*iordru + 1) << 1) + 1) * *ndimen; | |
3794 | isz5 = *ndjacu + 1 - ((*iordru + 1) << 1); | |
3795 | isz6 = *ndjacv + 1 - ((*iordrv + 1) << 1); | |
3796 | isz7 = *ndimen << 2; | |
3797 | iszwr = isz1 + isz2 + isz3 + isz4 + isz5 + isz6 + isz7; | |
1ef32e96 RL |
3798 | AdvApp2Var_SysBase anAdvApp2Var_SysBase; |
3799 | anAdvApp2Var_SysBase.mcrrqst_(&c__8, &iszwr, wrkar, &iofwr, &ier); | |
7fd59977 | 3800 | if (ier > 0) { |
3801 | goto L9013; | |
3802 | } | |
3803 | ipt1 = iofwr; | |
3804 | ipt2 = ipt1 + isz1; | |
3805 | ipt3 = ipt2 + isz2; | |
3806 | ipt4 = ipt3 + isz3; | |
3807 | ipt5 = ipt4 + isz4; | |
3808 | ipt6 = ipt5 + isz5; | |
3809 | ipt7 = ipt6 + isz6; | |
3810 | ||
0d969553 | 3811 | /* ----------------- Return Gauss coefficients of integration ---------------- |
7fd59977 | 3812 | */ |
3813 | ||
3814 | AdvApp2Var_ApproxF2var::mmapptt_(ndjacu, nbpntu, iordru, &wrkar[ipt1], iercod); | |
3815 | if (*iercod > 0) { | |
3816 | goto L9999; | |
3817 | } | |
3818 | AdvApp2Var_ApproxF2var::mmapptt_(ndjacv, nbpntv, iordrv, &wrkar[ipt2], iercod); | |
3819 | if (*iercod > 0) { | |
3820 | goto L9999; | |
3821 | } | |
3822 | ||
0d969553 | 3823 | /* ------------------- Return max polynoms of Jacobi ------------ |
7fd59977 | 3824 | */ |
3825 | ||
3826 | AdvApp2Var_ApproxF2var::mma2jmx_(ndjacu, iordru, &wrkar[ipt5]); | |
3827 | AdvApp2Var_ApproxF2var::mma2jmx_(ndjacv, iordrv, &wrkar[ipt6]); | |
3828 | ||
0d969553 | 3829 | /* ------ Calculate the coefficients and their contribution to the error ---- |
7fd59977 | 3830 | */ |
3831 | ||
3832 | mma2ce2_(numdec, ndimen, nbsesp, &ndimse[1], ndminu, ndminv, ndguli, | |
3833 | ndgvli, ndjacu, ndjacv, iordru, iordrv, nbpntu, nbpntv, &epsapr[1] | |
3834 | , &sosotb[sosotb_offset], &disotb[disotb_offset], &soditb[ | |
3835 | soditb_offset], &diditb[diditb_offset], &wrkar[ipt1], &wrkar[ipt2] | |
3836 | , &wrkar[ipt5], &wrkar[ipt6], &wrkar[ipt7], &wrkar[ipt3], &wrkar[ | |
3837 | ipt4], &patjac[patjac_offset], &errmax[1], &errmoy[1], ndegpu, | |
3838 | ndegpv, itydec, iercod); | |
3839 | if (*iercod > 0) { | |
3840 | goto L9999; | |
3841 | } | |
3842 | goto L9999; | |
3843 | ||
3844 | /* ------------------------------ The end ------------------------------- | |
3845 | */ | |
3846 | ||
3847 | L9013: | |
3848 | *iercod = 13; | |
3849 | goto L9999; | |
3850 | ||
3851 | L9999: | |
3852 | if (iofwr != 0) { | |
1ef32e96 | 3853 | anAdvApp2Var_SysBase.mcrdelt_(&c__8, &iszwr, wrkar, &iofwr, &ier); |
7fd59977 | 3854 | } |
3855 | if (ier > 0) { | |
3856 | *iercod = 13; | |
3857 | } | |
3858 | AdvApp2Var_SysBase::maermsg_("MMA2CE1", iercod, 7L); | |
3859 | if (ldbg) { | |
3860 | AdvApp2Var_SysBase::mgsomsg_("MMA2CE1", 7L); | |
3861 | } | |
3862 | return 0; | |
3863 | } /* mma2ce1_ */ | |
3864 | ||
3865 | //======================================================================= | |
3866 | //function : mma2ce2_ | |
3867 | //purpose : | |
3868 | //======================================================================= | |
3869 | int mma2ce2_(integer *numdec, | |
3870 | integer *ndimen, | |
3871 | integer *nbsesp, | |
3872 | integer *ndimse, | |
3873 | integer *ndminu, | |
3874 | integer *ndminv, | |
3875 | integer *ndguli, | |
3876 | integer *ndgvli, | |
3877 | integer *ndjacu, | |
3878 | integer *ndjacv, | |
3879 | integer *iordru, | |
3880 | integer *iordrv, | |
3881 | integer *nbpntu, | |
3882 | integer *nbpntv, | |
3883 | doublereal *epsapr, | |
3884 | doublereal *sosotb, | |
3885 | doublereal *disotb, | |
3886 | doublereal *soditb, | |
3887 | doublereal *diditb, | |
3888 | doublereal *gssutb, | |
3889 | doublereal *gssvtb, | |
3890 | doublereal *xmaxju, | |
3891 | doublereal *xmaxjv, | |
3892 | doublereal *vecerr, | |
3893 | doublereal *chpair, | |
3894 | doublereal *chimpr, | |
3895 | doublereal *patjac, | |
3896 | doublereal *errmax, | |
3897 | doublereal *errmoy, | |
3898 | integer *ndegpu, | |
3899 | integer *ndegpv, | |
3900 | integer *itydec, | |
3901 | integer *iercod) | |
3902 | ||
3903 | { | |
3904 | /* System generated locals */ | |
3905 | integer sosotb_dim1, sosotb_dim2, sosotb_offset, disotb_dim1, disotb_dim2, | |
3906 | disotb_offset, soditb_dim1, soditb_dim2, soditb_offset, | |
3907 | diditb_dim1, diditb_dim2, diditb_offset, gssutb_dim1, gssvtb_dim1, | |
3908 | chpair_dim1, chpair_dim2, chpair_offset, chimpr_dim1, | |
3909 | chimpr_dim2, chimpr_offset, patjac_dim1, patjac_dim2, | |
3910 | patjac_offset, vecerr_dim1, vecerr_offset, i__1, i__2, i__3, i__4; | |
3911 | ||
3912 | /* Local variables */ | |
1ef32e96 RL |
3913 | logical ldbg; |
3914 | integer idim, igsu, minu, minv, maxu, maxv, igsv; | |
3915 | doublereal vaux[3]; | |
3916 | integer i2rdu, i2rdv, ndses, nd, ii, jj, kk, nu, nv; | |
3917 | doublereal zu, zv; | |
3918 | integer nu1, nv1; | |
7fd59977 | 3919 | |
3920 | /* ********************************************************************** | |
3921 | */ | |
0d969553 | 3922 | /* FUNCTION : */ |
7fd59977 | 3923 | /* ---------- */ |
0d969553 Y |
3924 | /* Calculation of coefficients of polynomial approximation of degree */ |
3925 | /* (NDJACU,NDJACV) of a function F(u,v), starting from its */ | |
3926 | /* discretization on roots of Legendre polynom of degree */ | |
3927 | /* NBPNTU by U and NBPNTV by V. */ | |
7fd59977 | 3928 | |
0d969553 | 3929 | /* KEYWORDS : */ |
7fd59977 | 3930 | /* ----------- */ |
3931 | /* TOUS,AB_SPECIFI::FONCTION&,APPROXIMATION,&COEFFICIENT,&POLYNOME */ | |
3932 | ||
0d969553 | 3933 | /* INPUT ARGUMENTS : */ |
7fd59977 | 3934 | /* ------------------ */ |
0d969553 Y |
3935 | /* NUMDEC: Indicates if it is POSSIBLE to cut function F(u,v). */ |
3936 | /* = 5, It is POSSIBLE to cut by U or by V or in both directions simultaneously. */ | |
3937 | /* = 4, It is POSSIBLE to cut by U or by V BUT NOT in both */ | |
3938 | /* directions simultaneously (cutting by V is preferable). */ | |
3939 | /* = 3, It is POSSIBLE to cut by U or by V BUT NOT in both */ | |
3940 | /* directions simultaneously (cutting by U is preferable). */ | |
3941 | /* = 2, It is POSSIBLE to cut only by V (i.e. insert parameter */ | |
3942 | /* of cutting Vj). */ | |
3943 | /* = 1, It is POSSIBLE to cut only by U (i.e. insert parameter */ | |
3944 | /* of cutting Ui). */ | |
3945 | /* = 0, It is not POSSIBLE to cut anything */ | |
3946 | /* NDIMEN: Total dimension of the space. */ | |
3947 | /* NBSESP: Nb of independent sub-spaces on which the errors are calculated. */ | |
3948 | /* NDIMSE: Table of dimensions of each of sub-spaces. */ | |
3949 | /* NDMINU: Minimum degree by U to be preserved for the approximation. */ | |
3950 | /* NDMINV: Minimum degree by V to be preserved for the approximation. */ | |
3951 | /* NDGULI: Limit of nb of coefficients by U of the solution. */ | |
3952 | /* NDGVLI: Limit of nb of coefficients by V of the solution. */ | |
3953 | /* NDJACU: Max degree of the polynom of approximation by U. */ | |
3954 | /* The representation in the orthogonal base starts from degree */ | |
3955 | /* 0 to degree NDJACU-2*(IORDRU+1). The polynomial base is the base of */ | |
3956 | /* Jacobi of order -1 (Legendre), 0, 1 or 2. */ | |
3957 | /* It is required that 2*IORDRU+1 <= NDMINU <= NDGULI < NDJACU */ | |
3958 | /* NDJACV: Max degree of the polynom of approximation by V. */ | |
3959 | /* The representation in the orthogonal base starts from degree */ | |
3960 | /* 0 to degree NDJACV-2*(IORDRV+1). The polynomial base is */ | |
3961 | /* the base of Jacobi of order -1 (Legendre), 0, 1 or 2 */ | |
3962 | /* It is required that 2*IORDRV+1 <= NDMINV <= NDGVLI < NDJACV */ | |
3963 | /* IORDRU: Order of the Jacobi base (-1,0,1 or 2) by U. Corresponds */ | |
3964 | /* to the step of constraints C0, C1 or C2. */ | |
3965 | /* IORDRV: Order of the Jacobi base (-1,0,1 or 2) by U. Corresponds */ | |
3966 | /* to the step of constraints C0, C1 or C2. */ | |
3967 | /* NBPNTU: Degree of Legendre polynom on the roots which of are */ | |
3968 | /* calculated the coefficients of integration by u */ | |
3969 | /* by Gauss method. It is required that NBPNTU = 30, 40, */ | |
3970 | /* 50 or 61 and NDJACU-2*(IORDRU+1) < NBPNTU. */ | |
3971 | /* NBPNTV: Degree of Legendre polynom on the roots which of are */ | |
3972 | /* calculated the coefficients of integration by u */ | |
3973 | /* by Gauss method. It is required that NBPNTV = 30, 40, */ | |
3974 | /* 50 or 61 and NDJACV-2*(IORDRV+1) < NBPNTV. */ | |
3975 | /* EPSAPR: Table of NBSESP tolerances imposed on each sub-spaces. */ | |
3976 | /* SOSOTB: Table of F(ui,vj) + F(ui,-vj) + F(-ui,vj) + F(-ui,-vj) */ | |
3977 | /* with ui and vj - positive roots of the Legendre polynom */ | |
3978 | /* of degree NBPNTU and NBPNTV respectively. Additionally, */ | |
3979 | /* table SOSOTB(0,j) contains F(0,vj) + F(0,-vj), */ | |
3980 | /* table SOSOTB(i,0) contains F(ui,0) + F(-ui,0) and */ | |
3981 | /* SOSOTB(0,0) contains F(0,0). */ | |
3982 | /* DISOTB: Table of F(ui,vj) + F(ui,-vj) - F(-ui,vj) - F(-ui,-vj) */ | |
3983 | /* with ui and vj positive roots of Legendre polynom */ | |
3984 | /* of degree NBPNTU and NBPNTV respectively. */ | |
3985 | /* SODITB: Table of F(ui,vj) - F(ui,-vj) + F(-ui,vj) - F(-ui,-vj) */ | |
3986 | /* with ui and vj positive roots of Legendre polynom */ | |
3987 | /* of degree NBPNTU and NBPNTV respectively. */ | |
3988 | /* DIDITB: Table of F(ui,vj) - F(ui,-vj) - F(-ui,vj) + F(-ui,-vj) */ | |
3989 | /* with ui and vj positive roots of Legendre polynom */ | |
3990 | /* of degree NBPNTU and NBPNTV respectively. Additionally, */ | |
3991 | /* table DIDITB(0,j) contains F(0,vj) - F(0,-vj), */ | |
3992 | /* and table DIDITB(i,0) contains F(ui,0) - F(-ui,0). */ | |
3993 | /* GSSUTB: Table of coefficients of integration by Gauss method */ | |
3994 | /* by U: i varies from 0 to NBPNTU/2 and k varies from 0 to */ | |
7fd59977 | 3995 | /* NDJACU-2*(IORDRU+1). */ |
0d969553 Y |
3996 | /* GSSVTB: Table of coefficients of integration by Gauss method */ |
3997 | /* by V: i varies from 0 to NBPNTV/2 and k varies from 0 to */ | |
7fd59977 | 3998 | /* NDJACV-2*(IORDRV+1). */ |
0d969553 Y |
3999 | /* XMAXJU: Maximum value of Jacobi polynoms of order IORDRU, */ |
4000 | /* from degree 0 to degree NDJACU - 2*(IORDRU+1) */ | |
4001 | /* XMAXJV: Maximum value of Jacobi polynoms of order IORDRV, */ | |
4002 | /* from degree 0 to degree NDJACV - 2*(IORDRV+1) */ | |
7fd59977 | 4003 | |
0d969553 | 4004 | /* OUTPUT ARGUMENTS : */ |
7fd59977 | 4005 | /* ------------------- */ |
0d969553 Y |
4006 | /* VECERR: Auxiliary table. */ |
4007 | /* CHPAIR: Auxiliary table of terms connected to degree NDJACU by U */ | |
4008 | /* to calculate the coeff. of approximation of EVEN degree by V. */ | |
4009 | /* CHIMPR: Auxiliary table of terms connected to degree NDJACU by U */ | |
4010 | /* to calculate the coeff. of approximation of UNEVEN degree by V. */ | |
4011 | /* PATJAC: Table of coefficients of polynom P(u,v) of approximation */ | |
4012 | /* of F(u,v) with eventually taking into account of */ | |
4013 | /* constraints. P(u,v) is of degree (NDJACU,NDJACV). */ | |
4014 | /* This table contains other coeff if ITYDEC = 0. */ | |
4015 | /* ERRMAX: For 1<=i<=NBSESP, ERRMAX(i) contains max errors */ | |
4016 | /* on each of sub-spaces SI ITYDEC = 0. */ | |
4017 | /* ERRMOY: Contains average errors for each of NBSESP sub-spaces SI ITYDEC = 0. */ | |
4018 | /* NDEGPU: Degree by U for square PATJAC. Valable if ITYDEC=0. */ | |
4019 | /* NDEGPV: Degree by V for square PATJAC. Valable if ITYDEC=0. */ | |
4020 | /* ITYDEC: Shows if it is NECESSARY to cut again function F(u,v). */ | |
4021 | /* = 0, it is not NECESSARY to cut anything, PATJAC is OK. */ | |
4022 | /* = 1, it is NECESSARY to cut only by U (i.e. insert parameter of cutting Ui). */ | |
4023 | /* = 2, it is NECESSARY to cut only by V (i.e. insert parameter of cutting Vj). */ | |
4024 | /* = 3, it is NECESSARY to cut both by U AND by V. */ | |
4025 | /* IERCOD: Error code. */ | |
4026 | /* = 0, Everything is OK. */ | |
4027 | /* = -1, There is the best possible solution, but the */ | |
4028 | /* user tolerance is not satisfactory (3*only) */ | |
4029 | /* = 1, Incoherent entries. */ | |
4030 | ||
4031 | /* COMMONS USED : */ | |
7fd59977 | 4032 | /* ---------------- */ |
4033 | ||
0d969553 Y |
4034 | /* REFERENCES CALLED : */ |
4035 | /* --------------------- */ | |
7fd59977 | 4036 | |
0d969553 | 4037 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 4038 | /* > */ |
4039 | /* ********************************************************************** | |
4040 | */ | |
0d969553 | 4041 | /* Name of the routine */ |
7fd59977 | 4042 | |
4043 | ||
4044 | /* --------------------------- Initialisations -------------------------- | |
4045 | */ | |
4046 | ||
4047 | /* Parameter adjustments */ | |
4048 | vecerr_dim1 = *ndimen; | |
4049 | vecerr_offset = vecerr_dim1 + 1; | |
4050 | vecerr -= vecerr_offset; | |
4051 | --errmoy; | |
4052 | --errmax; | |
4053 | --epsapr; | |
4054 | --ndimse; | |
4055 | patjac_dim1 = *ndjacu + 1; | |
4056 | patjac_dim2 = *ndjacv + 1; | |
4057 | patjac_offset = patjac_dim1 * patjac_dim2; | |
4058 | patjac -= patjac_offset; | |
4059 | gssutb_dim1 = *nbpntu / 2 + 1; | |
4060 | chimpr_dim1 = *nbpntv / 2; | |
4061 | chimpr_dim2 = *ndjacu - ((*iordru + 1) << 1) + 1; | |
4062 | chimpr_offset = chimpr_dim1 * chimpr_dim2 + 1; | |
4063 | chimpr -= chimpr_offset; | |
4064 | chpair_dim1 = *nbpntv / 2 + 1; | |
4065 | chpair_dim2 = *ndjacu - ((*iordru + 1) << 1) + 1; | |
4066 | chpair_offset = chpair_dim1 * chpair_dim2; | |
4067 | chpair -= chpair_offset; | |
4068 | gssvtb_dim1 = *nbpntv / 2 + 1; | |
4069 | diditb_dim1 = *nbpntu / 2 + 1; | |
4070 | diditb_dim2 = *nbpntv / 2 + 1; | |
4071 | diditb_offset = diditb_dim1 * diditb_dim2; | |
4072 | diditb -= diditb_offset; | |
4073 | soditb_dim1 = *nbpntu / 2; | |
4074 | soditb_dim2 = *nbpntv / 2; | |
4075 | soditb_offset = soditb_dim1 * (soditb_dim2 + 1) + 1; | |
4076 | soditb -= soditb_offset; | |
4077 | disotb_dim1 = *nbpntu / 2; | |
4078 | disotb_dim2 = *nbpntv / 2; | |
4079 | disotb_offset = disotb_dim1 * (disotb_dim2 + 1) + 1; | |
4080 | disotb -= disotb_offset; | |
4081 | sosotb_dim1 = *nbpntu / 2 + 1; | |
4082 | sosotb_dim2 = *nbpntv / 2 + 1; | |
4083 | sosotb_offset = sosotb_dim1 * sosotb_dim2; | |
4084 | sosotb -= sosotb_offset; | |
4085 | ||
4086 | /* Function Body */ | |
4087 | ldbg = AdvApp2Var_SysBase::mnfndeb_() >= 3; | |
4088 | if (ldbg) { | |
4089 | AdvApp2Var_SysBase::mgenmsg_("MMA2CE2", 7L); | |
4090 | } | |
0d969553 | 4091 | /* --> A priori everything is OK */ |
7fd59977 | 4092 | *iercod = 0; |
0d969553 | 4093 | /* --> test of inputs */ |
7fd59977 | 4094 | if (*numdec < 0 || *numdec > 5) { |
4095 | goto L9001; | |
4096 | } | |
4097 | if ((*iordru << 1) + 1 > *ndminu) { | |
4098 | goto L9001; | |
4099 | } | |
4100 | if (*ndminu > *ndguli) { | |
4101 | goto L9001; | |
4102 | } | |
4103 | if (*ndguli >= *ndjacu) { | |
4104 | goto L9001; | |
4105 | } | |
4106 | if ((*iordrv << 1) + 1 > *ndminv) { | |
4107 | goto L9001; | |
4108 | } | |
4109 | if (*ndminv > *ndgvli) { | |
4110 | goto L9001; | |
4111 | } | |
4112 | if (*ndgvli >= *ndjacv) { | |
4113 | goto L9001; | |
4114 | } | |
0d969553 | 4115 | /* --> A priori, no cuts to be done */ |
7fd59977 | 4116 | *itydec = 0; |
0d969553 | 4117 | /* --> Min. degrees to return: NDMINU,NDMINV */ |
7fd59977 | 4118 | *ndegpu = *ndminu; |
4119 | *ndegpv = *ndminv; | |
0d969553 | 4120 | /* --> For the moment, max errors are null */ |
fadcea2c | 4121 | AdvApp2Var_SysBase::mvriraz_(nbsesp, &errmax[1]); |
7fd59977 | 4122 | nd = *ndimen << 2; |
fadcea2c | 4123 | AdvApp2Var_SysBase::mvriraz_(&nd, &vecerr[vecerr_offset]); |
0d969553 | 4124 | /* --> and the square, too. */ |
7fd59977 | 4125 | nd = (*ndjacu + 1) * (*ndjacv + 1) * *ndimen; |
fadcea2c | 4126 | AdvApp2Var_SysBase::mvriraz_(&nd, &patjac[patjac_offset]); |
7fd59977 | 4127 | |
4128 | i2rdu = (*iordru + 1) << 1; | |
4129 | i2rdv = (*iordrv + 1) << 1; | |
4130 | ||
4131 | /* ********************************************************************** | |
4132 | */ | |
0d969553 | 4133 | /* -------------------- HERE IT IS POSSIBLE TO CUT ---------------------- |
7fd59977 | 4134 | */ |
4135 | /* ********************************************************************** | |
4136 | */ | |
4137 | ||
4138 | if (*numdec > 0 && *numdec <= 5) { | |
4139 | ||
4140 | /* ****************************************************************** | |
4141 | **** */ | |
0d969553 | 4142 | /* ---------------------- Calculate coeff of zone 4 ------------- |
7fd59977 | 4143 | ---- */ |
4144 | ||
4145 | minu = *ndguli + 1; | |
4146 | maxu = *ndjacu; | |
4147 | minv = *ndgvli + 1; | |
4148 | maxv = *ndjacv; | |
4149 | if (minu > maxu) { | |
4150 | goto L9001; | |
4151 | } | |
4152 | if (minv > maxv) { | |
4153 | goto L9001; | |
4154 | } | |
4155 | ||
0d969553 | 4156 | /* ---------------- Calculate the terms connected to degree by U --------- |
7fd59977 | 4157 | ---- */ |
4158 | ||
4159 | i__1 = *ndimen; | |
4160 | for (nd = 1; nd <= i__1; ++nd) { | |
4161 | i__2 = maxu; | |
4162 | for (kk = minu; kk <= i__2; ++kk) { | |
4163 | igsu = kk - i2rdu; | |
4164 | mma2cfu_(&kk, nbpntu, nbpntv, &sosotb[nd * sosotb_dim2 * | |
4165 | sosotb_dim1], &disotb[(nd * disotb_dim2 + 1) * | |
4166 | disotb_dim1 + 1], &soditb[(nd * soditb_dim2 + 1) * | |
4167 | soditb_dim1 + 1], &diditb[nd * diditb_dim2 * | |
4168 | diditb_dim1], &gssutb[igsu * gssutb_dim1], &chpair[( | |
4169 | igsu + nd * chpair_dim2) * chpair_dim1], &chimpr[( | |
4170 | igsu + nd * chimpr_dim2) * chimpr_dim1 + 1]); | |
4171 | /* L110: */ | |
4172 | } | |
4173 | /* L100: */ | |
4174 | } | |
4175 | ||
0d969553 | 4176 | /* ------------------- Calculate the coefficients of PATJAC ------------ |
7fd59977 | 4177 | ---- */ |
4178 | ||
4179 | igsu = minu - i2rdu; | |
4180 | i__1 = maxv; | |
4181 | for (jj = minv; jj <= i__1; ++jj) { | |
4182 | igsv = jj - i2rdv; | |
4183 | i__2 = *ndimen; | |
4184 | for (nd = 1; nd <= i__2; ++nd) { | |
4185 | mma2cfv_(&jj, &minu, &maxu, nbpntv, &gssvtb[igsv * | |
4186 | gssvtb_dim1], &chpair[(igsu + nd * chpair_dim2) * | |
4187 | chpair_dim1], &chimpr[(igsu + nd * chimpr_dim2) * | |
4188 | chimpr_dim1 + 1], &patjac[minu + (jj + nd * | |
4189 | patjac_dim2) * patjac_dim1]); | |
4190 | /* L130: */ | |
4191 | } | |
4192 | ||
0d969553 Y |
4193 | /* ----- Contribution of calculated terms to the approximation error */ |
4194 | /* for terms (I,J) with MINU <= I <= MAXU, J fixe. */ | |
7fd59977 | 4195 | |
4196 | idim = 1; | |
4197 | i__2 = *nbsesp; | |
4198 | for (nd = 1; nd <= i__2; ++nd) { | |
4199 | ndses = ndimse[nd]; | |
4200 | mma2er1_(ndjacu, ndjacv, &ndses, &minu, &maxu, &jj, &jj, | |
4201 | iordru, iordrv, xmaxju, xmaxjv, &patjac[idim * | |
4202 | patjac_dim2 * patjac_dim1], &vecerr[vecerr_dim1 + 1], | |
4203 | &vecerr[nd + (vecerr_dim1 << 2)]); | |
4204 | if (vecerr[nd + (vecerr_dim1 << 2)] > epsapr[nd]) { | |
4205 | goto L9300; | |
4206 | } | |
4207 | idim += ndses; | |
4208 | /* L140: */ | |
4209 | } | |
4210 | /* L120: */ | |
4211 | } | |
4212 | ||
4213 | /* ****************************************************************** | |
4214 | **** */ | |
0d969553 | 4215 | /* ---------------------- Calculate the coeff of zone 2 ------------- |
7fd59977 | 4216 | ---- */ |
4217 | ||
4218 | minu = (*iordru + 1) << 1; | |
4219 | maxu = *ndguli; | |
4220 | minv = *ndgvli + 1; | |
4221 | maxv = *ndjacv; | |
4222 | ||
0d969553 Y |
4223 | /* --> If zone 2 is empty, pass to zone 3. */ |
4224 | /* VECERR(ND,2) was already set to zero. */ | |
7fd59977 | 4225 | if (minu > maxu) { |
4226 | goto L300; | |
4227 | } | |
4228 | ||
0d969553 | 4229 | /* ---------------- Calculate the terms connected to degree by U ------------ |
7fd59977 | 4230 | ---- */ |
4231 | ||
4232 | i__1 = *ndimen; | |
4233 | for (nd = 1; nd <= i__1; ++nd) { | |
4234 | i__2 = maxu; | |
4235 | for (kk = minu; kk <= i__2; ++kk) { | |
4236 | igsu = kk - i2rdu; | |
4237 | mma2cfu_(&kk, nbpntu, nbpntv, &sosotb[nd * sosotb_dim2 * | |
4238 | sosotb_dim1], &disotb[(nd * disotb_dim2 + 1) * | |
4239 | disotb_dim1 + 1], &soditb[(nd * soditb_dim2 + 1) * | |
4240 | soditb_dim1 + 1], &diditb[nd * diditb_dim2 * | |
4241 | diditb_dim1], &gssutb[igsu * gssutb_dim1], &chpair[( | |
4242 | igsu + nd * chpair_dim2) * chpair_dim1], &chimpr[( | |
4243 | igsu + nd * chimpr_dim2) * chimpr_dim1 + 1]); | |
4244 | /* L210: */ | |
4245 | } | |
4246 | /* L200: */ | |
4247 | } | |
4248 | ||
0d969553 | 4249 | /* ------------------- Calculate the coefficients of PATJAC ------------ |
7fd59977 | 4250 | ---- */ |
4251 | ||
4252 | igsu = minu - i2rdu; | |
4253 | i__1 = maxv; | |
4254 | for (jj = minv; jj <= i__1; ++jj) { | |
4255 | igsv = jj - i2rdv; | |
4256 | i__2 = *ndimen; | |
4257 | for (nd = 1; nd <= i__2; ++nd) { | |
4258 | mma2cfv_(&jj, &minu, &maxu, nbpntv, &gssvtb[igsv * | |
4259 | gssvtb_dim1], &chpair[(igsu + nd * chpair_dim2) * | |
4260 | chpair_dim1], &chimpr[(igsu + nd * chimpr_dim2) * | |
4261 | chimpr_dim1 + 1], &patjac[minu + (jj + nd * | |
4262 | patjac_dim2) * patjac_dim1]); | |
4263 | /* L230: */ | |
4264 | } | |
4265 | /* L220: */ | |
4266 | } | |
4267 | ||
0d969553 Y |
4268 | /* -----Contribution of calculated terms to the approximation error */ |
4269 | /* for terms (I,J) with MINU <= I <= MAXU, MINV <= J <= MAXV */ | |
7fd59977 | 4270 | |
4271 | idim = 1; | |
4272 | i__1 = *nbsesp; | |
4273 | for (nd = 1; nd <= i__1; ++nd) { | |
4274 | ndses = ndimse[nd]; | |
4275 | mma2er1_(ndjacu, ndjacv, &ndses, &minu, &maxu, &minv, &maxv, | |
4276 | iordru, iordrv, xmaxju, xmaxjv, &patjac[idim * | |
4277 | patjac_dim2 * patjac_dim1], &vecerr[vecerr_dim1 + 1], & | |
4278 | vecerr[nd + (vecerr_dim1 << 1)]); | |
4279 | idim += ndses; | |
4280 | /* L240: */ | |
4281 | } | |
4282 | ||
4283 | /* ****************************************************************** | |
4284 | **** */ | |
0d969553 | 4285 | /* ---------------------- Calculation of coeff of zone 3 ------------- |
7fd59977 | 4286 | ---- */ |
4287 | ||
4288 | L300: | |
4289 | minu = *ndguli + 1; | |
4290 | maxu = *ndjacu; | |
4291 | minv = (*iordrv + 1) << 1; | |
4292 | maxv = *ndgvli; | |
4293 | ||
0d969553 Y |
4294 | /* -> If zone 3 is empty, pass to the test of cutting. */ |
4295 | /* VECERR(ND,3) was already set to zero */ | |
7fd59977 | 4296 | if (minv > maxv) { |
4297 | goto L400; | |
4298 | } | |
4299 | ||
0d969553 | 4300 | /* ----------- The terms connected to the degree by U are already calculated ----- |
7fd59977 | 4301 | ---- */ |
0d969553 | 4302 | /* ------------------- Calculation of coefficients of PATJAC ------------ |
7fd59977 | 4303 | ---- */ |
4304 | ||
4305 | igsu = minu - i2rdu; | |
4306 | i__1 = maxv; | |
4307 | for (jj = minv; jj <= i__1; ++jj) { | |
4308 | igsv = jj - i2rdv; | |
4309 | i__2 = *ndimen; | |
4310 | for (nd = 1; nd <= i__2; ++nd) { | |
4311 | mma2cfv_(&jj, &minu, &maxu, nbpntv, &gssvtb[igsv * | |
4312 | gssvtb_dim1], &chpair[(igsu + nd * chpair_dim2) * | |
4313 | chpair_dim1], &chimpr[(igsu + nd * chimpr_dim2) * | |
4314 | chimpr_dim1 + 1], &patjac[minu + (jj + nd * | |
4315 | patjac_dim2) * patjac_dim1]); | |
4316 | /* L330: */ | |
4317 | } | |
4318 | /* L320: */ | |
4319 | } | |
4320 | ||
258ff83b | 4321 | /* ----- Contribution of calculated terms to the approximation error */ |
0d969553 | 4322 | /* for terms (I,J) with MINU <= I <= MAXU, MINV <= J <= MAXV. */ |
7fd59977 | 4323 | |
4324 | idim = 1; | |
4325 | i__1 = *nbsesp; | |
4326 | for (nd = 1; nd <= i__1; ++nd) { | |
4327 | ndses = ndimse[nd]; | |
4328 | mma2er1_(ndjacu, ndjacv, &ndses, &minu, &maxu, &minv, &maxv, | |
4329 | iordru, iordrv, xmaxju, xmaxjv, &patjac[idim * | |
4330 | patjac_dim2 * patjac_dim1], &vecerr[vecerr_dim1 + 1], & | |
4331 | vecerr[nd + vecerr_dim1 * 3]); | |
4332 | idim += ndses; | |
4333 | /* L340: */ | |
4334 | } | |
4335 | ||
4336 | /* ****************************************************************** | |
4337 | **** */ | |
0d969553 | 4338 | /* --------------------------- Tests of cutting --------------------- |
7fd59977 | 4339 | ---- */ |
4340 | ||
4341 | L400: | |
4342 | i__1 = *nbsesp; | |
4343 | for (nd = 1; nd <= i__1; ++nd) { | |
4344 | vaux[0] = vecerr[nd + (vecerr_dim1 << 1)]; | |
4345 | vaux[1] = vecerr[nd + (vecerr_dim1 << 2)]; | |
4346 | vaux[2] = vecerr[nd + vecerr_dim1 * 3]; | |
4347 | ii = 3; | |
4348 | errmax[nd] = AdvApp2Var_MathBase::mzsnorm_(&ii, vaux); | |
4349 | if (errmax[nd] > epsapr[nd]) { | |
4350 | ii = 2; | |
4351 | zv = AdvApp2Var_MathBase::mzsnorm_(&ii, vaux); | |
4352 | zu = AdvApp2Var_MathBase::mzsnorm_(&ii, &vaux[1]); | |
4353 | if (zu > epsapr[nd] && zv > epsapr[nd]) { | |
4354 | goto L9300; | |
4355 | } | |
4356 | if (zu > zv) { | |
4357 | goto L9100; | |
4358 | } else { | |
4359 | goto L9200; | |
4360 | } | |
4361 | } | |
4362 | /* L410: */ | |
4363 | } | |
4364 | ||
4365 | /* ****************************************************************** | |
4366 | **** */ | |
0d969553 | 4367 | /* --- OK, the square is valid, the coeff of zone 1 are calculated |
7fd59977 | 4368 | ---- */ |
4369 | ||
4370 | minu = (*iordru + 1) << 1; | |
4371 | maxu = *ndguli; | |
4372 | minv = (*iordrv + 1) << 1; | |
4373 | maxv = *ndgvli; | |
4374 | ||
0d969553 | 4375 | /* --> If zone 1 is empty, pass to the calculation of Max and Average error. */ |
7fd59977 | 4376 | if (minu > maxu || minv > maxv) { |
4377 | goto L600; | |
4378 | } | |
4379 | ||
0d969553 | 4380 | /* ----------- The terms connected to degree by U are already calculated ----- |
7fd59977 | 4381 | ---- */ |
0d969553 | 4382 | /* ------------------- Calculate the coefficients of PATJAC ------------ |
7fd59977 | 4383 | ---- */ |
4384 | ||
4385 | igsu = minu - i2rdu; | |
4386 | i__1 = maxv; | |
4387 | for (jj = minv; jj <= i__1; ++jj) { | |
4388 | igsv = jj - i2rdv; | |
4389 | i__2 = *ndimen; | |
4390 | for (nd = 1; nd <= i__2; ++nd) { | |
4391 | mma2cfv_(&jj, &minu, &maxu, nbpntv, &gssvtb[igsv * | |
4392 | gssvtb_dim1], &chpair[(igsu + nd * chpair_dim2) * | |
4393 | chpair_dim1], &chimpr[(igsu + nd * chimpr_dim2) * | |
4394 | chimpr_dim1 + 1], &patjac[minu + (jj + nd * | |
4395 | patjac_dim2) * patjac_dim1]); | |
4396 | /* L530: */ | |
4397 | } | |
4398 | /* L520: */ | |
4399 | } | |
4400 | ||
0d969553 | 4401 | /* --------------- Now the degree is maximally lowered -------- |
7fd59977 | 4402 | ---- */ |
4403 | ||
4404 | L600: | |
4405 | /* Computing MAX */ | |
41194117 K |
4406 | i__1 = 1, i__2 = (*iordru << 1) + 1, i__1 = advapp_max(i__1,i__2); |
4407 | minu = advapp_max(i__1,*ndminu); | |
7fd59977 | 4408 | maxu = *ndguli; |
4409 | /* Computing MAX */ | |
41194117 K |
4410 | i__1 = 1, i__2 = (*iordrv << 1) + 1, i__1 = advapp_max(i__1,i__2); |
4411 | minv = advapp_max(i__1,*ndminv); | |
7fd59977 | 4412 | maxv = *ndgvli; |
4413 | idim = 1; | |
4414 | i__1 = *nbsesp; | |
4415 | for (nd = 1; nd <= i__1; ++nd) { | |
4416 | ndses = ndimse[nd]; | |
4417 | if (maxu >= (*iordru + 1) << 1 && maxv >= (*iordrv + 1) << 1) { | |
4418 | mma2er2_(ndjacu, ndjacv, &ndses, &minu, &maxu, &minv, &maxv, | |
4419 | iordru, iordrv, xmaxju, xmaxjv, &patjac[idim * | |
4420 | patjac_dim2 * patjac_dim1], &epsapr[nd], &vecerr[ | |
4421 | vecerr_dim1 + 1], &errmax[nd], &nu, &nv); | |
4422 | } else { | |
4423 | nu = maxu; | |
4424 | nv = maxv; | |
4425 | } | |
4426 | nu1 = nu + 1; | |
4427 | nv1 = nv + 1; | |
4428 | ||
0d969553 | 4429 | /* --> Calculate the average error. */ |
7fd59977 | 4430 | mma2moy_(ndjacu, ndjacv, &ndses, &nu1, ndjacu, &nv1, ndjacv, |
4431 | iordru, iordrv, &patjac[idim * patjac_dim2 * patjac_dim1], | |
4432 | &errmoy[nd]); | |
4433 | ||
0d969553 | 4434 | /* --> Set to 0.D0 the rejected coeffs. */ |
7fd59977 | 4435 | i__2 = idim + ndses - 1; |
4436 | for (ii = idim; ii <= i__2; ++ii) { | |
4437 | i__3 = *ndjacv; | |
4438 | for (jj = nv1; jj <= i__3; ++jj) { | |
4439 | i__4 = *ndjacu; | |
4440 | for (kk = nu1; kk <= i__4; ++kk) { | |
4441 | patjac[kk + (jj + ii * patjac_dim2) * patjac_dim1] = | |
4442 | 0.; | |
4443 | /* L640: */ | |
4444 | } | |
4445 | /* L630: */ | |
4446 | } | |
4447 | /* L620: */ | |
4448 | } | |
4449 | ||
0d969553 | 4450 | /* --> Return the nb of coeffs of approximation. */ |
41194117 K |
4451 | *ndegpu = advapp_max(*ndegpu,nu); |
4452 | *ndegpv = advapp_max(*ndegpv,nv); | |
7fd59977 | 4453 | idim += ndses; |
4454 | /* L610: */ | |
4455 | } | |
4456 | ||
4457 | /* ****************************************************************** | |
4458 | **** */ | |
0d969553 | 4459 | /* -------------------- IT IS NOT POSSIBLE TO CUT ------------------- |
7fd59977 | 4460 | ---- */ |
4461 | /* ****************************************************************** | |
4462 | **** */ | |
4463 | ||
4464 | } else { | |
4465 | minu = (*iordru + 1) << 1; | |
4466 | maxu = *ndjacu; | |
4467 | minv = (*iordrv + 1) << 1; | |
4468 | maxv = *ndjacv; | |
4469 | ||
0d969553 | 4470 | /* ---------------- Calculate the terms connected to the degree by U ------------ |
7fd59977 | 4471 | ---- */ |
4472 | ||
4473 | i__1 = *ndimen; | |
4474 | for (nd = 1; nd <= i__1; ++nd) { | |
4475 | i__2 = maxu; | |
4476 | for (kk = minu; kk <= i__2; ++kk) { | |
4477 | igsu = kk - i2rdu; | |
4478 | mma2cfu_(&kk, nbpntu, nbpntv, &sosotb[nd * sosotb_dim2 * | |
4479 | sosotb_dim1], &disotb[(nd * disotb_dim2 + 1) * | |
4480 | disotb_dim1 + 1], &soditb[(nd * soditb_dim2 + 1) * | |
4481 | soditb_dim1 + 1], &diditb[nd * diditb_dim2 * | |
4482 | diditb_dim1], &gssutb[igsu * gssutb_dim1], &chpair[( | |
4483 | igsu + nd * chpair_dim2) * chpair_dim1], &chimpr[( | |
4484 | igsu + nd * chimpr_dim2) * chimpr_dim1 + 1]); | |
4485 | /* L710: */ | |
4486 | } | |
4487 | ||
0d969553 | 4488 | /* ---------------------- Calculate all coefficients ------- |
7fd59977 | 4489 | -------- */ |
4490 | ||
4491 | igsu = minu - i2rdu; | |
4492 | i__2 = maxv; | |
4493 | for (jj = minv; jj <= i__2; ++jj) { | |
4494 | igsv = jj - i2rdv; | |
4495 | mma2cfv_(&jj, &minu, &maxu, nbpntv, &gssvtb[igsv * | |
4496 | gssvtb_dim1], &chpair[(igsu + nd * chpair_dim2) * | |
4497 | chpair_dim1], &chimpr[(igsu + nd * chimpr_dim2) * | |
4498 | chimpr_dim1 + 1], &patjac[minu + (jj + nd * | |
4499 | patjac_dim2) * patjac_dim1]); | |
4500 | /* L720: */ | |
4501 | } | |
4502 | /* L700: */ | |
4503 | } | |
4504 | ||
258ff83b | 4505 | /* ----- Contribution of calculated terms to the approximation error */ |
0d969553 | 4506 | /* for terms (I,J) with MINU <= I <= MAXU, MINV <= J <= MAXV */ |
7fd59977 | 4507 | |
4508 | idim = 1; | |
4509 | i__1 = *nbsesp; | |
4510 | for (nd = 1; nd <= i__1; ++nd) { | |
4511 | ndses = ndimse[nd]; | |
4512 | minu = (*iordru + 1) << 1; | |
4513 | maxu = *ndjacu; | |
4514 | minv = *ndgvli + 1; | |
4515 | maxv = *ndjacv; | |
4516 | mma2er1_(ndjacu, ndjacv, &ndses, &minu, &maxu, &minv, &maxv, | |
4517 | iordru, iordrv, xmaxju, xmaxjv, &patjac[idim * | |
4518 | patjac_dim2 * patjac_dim1], &vecerr[vecerr_dim1 + 1], & | |
4519 | errmax[nd]); | |
4520 | minu = *ndguli + 1; | |
4521 | maxu = *ndjacu; | |
4522 | minv = (*iordrv + 1) << 1; | |
4523 | maxv = *ndgvli; | |
4524 | if (minv <= maxv) { | |
4525 | mma2er1_(ndjacu, ndjacv, &ndses, &minu, &maxu, &minv, &maxv, | |
4526 | iordru, iordrv, xmaxju, xmaxjv, &patjac[idim * | |
4527 | patjac_dim2 * patjac_dim1], &vecerr[vecerr_dim1 + 1], | |
4528 | &errmax[nd]); | |
4529 | } | |
4530 | ||
0d969553 | 4531 | /* ---------------------------- IF ERRMAX > EPSAPR, stop -------- |
7fd59977 | 4532 | -------- */ |
4533 | ||
4534 | if (errmax[nd] > epsapr[nd]) { | |
4535 | *iercod = -1; | |
4536 | nu = *ndguli; | |
4537 | nv = *ndgvli; | |
4538 | ||
0d969553 | 4539 | /* ------------- Otherwise, try to remove again the coeff |
7fd59977 | 4540 | ------------ */ |
4541 | ||
4542 | } else { | |
4543 | /* Computing MAX */ | |
41194117 K |
4544 | i__2 = 1, i__3 = (*iordru << 1) + 1, i__2 = advapp_max(i__2,i__3); |
4545 | minu = advapp_max(i__2,*ndminu); | |
7fd59977 | 4546 | maxu = *ndguli; |
4547 | /* Computing MAX */ | |
41194117 K |
4548 | i__2 = 1, i__3 = (*iordrv << 1) + 1, i__2 = advapp_max(i__2,i__3); |
4549 | minv = advapp_max(i__2,*ndminv); | |
7fd59977 | 4550 | maxv = *ndgvli; |
4551 | if (maxu >= (*iordru + 1) << 1 && maxv >= (*iordrv + 1) << 1) { | |
4552 | mma2er2_(ndjacu, ndjacv, &ndses, &minu, &maxu, &minv, & | |
4553 | maxv, iordru, iordrv, xmaxju, xmaxjv, &patjac[ | |
4554 | idim * patjac_dim2 * patjac_dim1], &epsapr[nd], & | |
4555 | vecerr[vecerr_dim1 + 1], &errmax[nd], &nu, &nv); | |
4556 | } else { | |
4557 | nu = maxu; | |
4558 | nv = maxv; | |
4559 | } | |
4560 | } | |
4561 | ||
0d969553 | 4562 | /* --------------------- Calculate the average error ------------- |
7fd59977 | 4563 | -------- */ |
4564 | ||
4565 | nu1 = nu + 1; | |
4566 | nv1 = nv + 1; | |
4567 | mma2moy_(ndjacu, ndjacv, &ndses, &nu1, ndjacu, &nv1, ndjacv, | |
4568 | iordru, iordrv, &patjac[idim * patjac_dim2 * patjac_dim1], | |
4569 | &errmoy[nd]); | |
4570 | ||
0d969553 | 4571 | /* --------------------- Set to 0.D0 the rejected coeffs ---------- |
7fd59977 | 4572 | -------- */ |
4573 | ||
4574 | i__2 = idim + ndses - 1; | |
4575 | for (ii = idim; ii <= i__2; ++ii) { | |
4576 | i__3 = *ndjacv; | |
4577 | for (jj = nv1; jj <= i__3; ++jj) { | |
4578 | i__4 = *ndjacu; | |
4579 | for (kk = nu1; kk <= i__4; ++kk) { | |
4580 | patjac[kk + (jj + ii * patjac_dim2) * patjac_dim1] = | |
4581 | 0.; | |
4582 | /* L760: */ | |
4583 | } | |
4584 | /* L750: */ | |
4585 | } | |
4586 | /* L740: */ | |
4587 | } | |
4588 | ||
0d969553 | 4589 | /* --------------- Return the nb of coeff of approximation --- |
7fd59977 | 4590 | -------- */ |
4591 | ||
41194117 K |
4592 | *ndegpu = advapp_max(*ndegpu,nu); |
4593 | *ndegpv = advapp_max(*ndegpv,nv); | |
7fd59977 | 4594 | idim += ndses; |
4595 | /* L730: */ | |
4596 | } | |
4597 | } | |
4598 | ||
4599 | goto L9999; | |
4600 | ||
4601 | /* ------------------------------ The end ------------------------------- | |
4602 | */ | |
0d969553 | 4603 | /* --> Error in inputs */ |
7fd59977 | 4604 | L9001: |
4605 | *iercod = 1; | |
4606 | goto L9999; | |
4607 | ||
0d969553 | 4608 | /* --------- Management of cuts, it is required 0 < NUMDEC <= 5 ------- |
7fd59977 | 4609 | */ |
4610 | ||
0d969553 | 4611 | /* --> Here it is possible and necessary to cut, choose by U if it is possible */ |
7fd59977 | 4612 | L9100: |
4613 | if (*numdec <= 0 || *numdec > 5) { | |
4614 | goto L9001; | |
4615 | } | |
4616 | if (*numdec != 2) { | |
4617 | *itydec = 1; | |
4618 | } else { | |
4619 | *itydec = 2; | |
4620 | } | |
4621 | goto L9999; | |
0d969553 | 4622 | /* --> Here it is possible and necessary to cut, choose by U if it is possible */ |
7fd59977 | 4623 | L9200: |
4624 | if (*numdec <= 0 || *numdec > 5) { | |
4625 | goto L9001; | |
4626 | } | |
4627 | if (*numdec != 1) { | |
4628 | *itydec = 2; | |
4629 | } else { | |
4630 | *itydec = 1; | |
4631 | } | |
4632 | goto L9999; | |
0d969553 | 4633 | /* --> Here it is possible and necessary to cut, choose by 4 if it is possible */ |
7fd59977 | 4634 | L9300: |
4635 | if (*numdec <= 0 || *numdec > 5) { | |
4636 | goto L9001; | |
4637 | } | |
4638 | if (*numdec == 5) { | |
4639 | *itydec = 3; | |
4640 | } else if (*numdec == 2 || *numdec == 4) { | |
4641 | *itydec = 2; | |
4642 | } else if (*numdec == 1 || *numdec == 3) { | |
4643 | *itydec = 1; | |
4644 | } else { | |
4645 | goto L9001; | |
4646 | } | |
4647 | goto L9999; | |
4648 | ||
4649 | L9999: | |
4650 | AdvApp2Var_SysBase::maermsg_("MMA2CE2", iercod, 7L); | |
4651 | if (ldbg) { | |
4652 | AdvApp2Var_SysBase::mgsomsg_("MMA2CE2", 7L); | |
4653 | } | |
4654 | return 0; | |
4655 | } /* mma2ce2_ */ | |
4656 | ||
4657 | //======================================================================= | |
4658 | //function : mma2cfu_ | |
4659 | //purpose : | |
4660 | //======================================================================= | |
4661 | int mma2cfu_(integer *ndujac, | |
4662 | integer *nbpntu, | |
4663 | integer *nbpntv, | |
4664 | doublereal *sosotb, | |
4665 | doublereal *disotb, | |
4666 | doublereal *soditb, | |
4667 | doublereal *diditb, | |
4668 | doublereal *gssutb, | |
4669 | doublereal *chpair, | |
4670 | doublereal *chimpr) | |
4671 | ||
4672 | { | |
4673 | /* System generated locals */ | |
4674 | integer sosotb_dim1, disotb_dim1, disotb_offset, soditb_dim1, | |
4675 | soditb_offset, diditb_dim1, i__1, i__2; | |
41194117 | 4676 | |
7fd59977 | 4677 | /* Local variables */ |
1ef32e96 RL |
4678 | logical ldbg; |
4679 | integer nptu2, nptv2, ii, jj; | |
4680 | doublereal bid0, bid1, bid2; | |
7fd59977 | 4681 | |
7fd59977 | 4682 | /* ********************************************************************** |
4683 | */ | |
4684 | ||
0d969553 | 4685 | /* FUNCTION : */ |
7fd59977 | 4686 | /* ---------- */ |
0d969553 | 4687 | /* Calculate the terms connected to degree NDUJAC by U of the polynomial approximation */ |
258ff83b | 4688 | /* of function F(u,v), starting from its discretisation */ |
0d969553 Y |
4689 | /* on the roots of Legendre polynom of degree */ |
4690 | /* NBPNTU by U and NBPNTV by V. */ | |
7fd59977 | 4691 | |
0d969553 | 4692 | /* KEYWORDS : */ |
7fd59977 | 4693 | /* ----------- */ |
4694 | /* FONCTION,APPROXIMATION,COEFFICIENT,POLYNOME */ | |
4695 | ||
0d969553 | 4696 | /* INPUT ARGUMENTSE : */ |
7fd59977 | 4697 | /* ------------------ */ |
0d969553 Y |
4698 | /* NDUJAC: Fixed degree by U for which the terms */ |
4699 | /* allowing to obtain the Legendre or Jacobi coeff*/ | |
4700 | /* of even or uneven degree by V are calculated. */ | |
4701 | /* NBPNTU: Degree of Legendre polynom on the roots which of */ | |
4702 | /* the coefficients of integration by U are calculated */ | |
4703 | /* by Gauss method. It is required that NBPNTU = 30, 40, 50 or 61. */ | |
4704 | /* NBPNTV: Degree of Legendre polynom on the roots which of */ | |
4705 | /* the coefficients of integration by V are calculated */ | |
4706 | /* by Gauss method. It is required that NBPNTV = 30, 40, 50 or 61. */ | |
4707 | /* SOSOTB: Table of F(ui,vj) + F(ui,-vj) + F(-ui,vj) + F(-ui,-vj) */ | |
4708 | /* with ui and vj positive roots of Legendre polynom */ | |
4709 | /* of degree NBPNTU and NBPNTV respectively. Moreover, */ | |
4710 | /* table SOSOTB(0,j) contains F(0,vj) + F(0,-vj), */ | |
4711 | /* table SOSOTB(i,0) contains F(ui,0) + F(-ui,0) and */ | |
4712 | /* SOSOTB(0,0) contains F(0,0). */ | |
4713 | /* DISOTB: Table of F(ui,vj) + F(ui,-vj) - F(-ui,vj) - F(-ui,-vj) */ | |
4714 | /* with ui and vj positive roots of Legendre polynom */ | |
4715 | /* of degree NBPNTU and NBPNTV respectively. */ | |
4716 | /* SODITB: Table of F(ui,vj) - F(ui,-vj) + F(-ui,vj) - F(-ui,-vj) */ | |
4717 | /* with ui and vj positive roots of Legendre polynom */ | |
4718 | /* of degree NBPNTU and NBPNTV respectively. */ | |
4719 | /* DIDITB: Table of F(ui,vj) - F(ui,-vj) - F(-ui,vj) + F(-ui,-vj) */ | |
4720 | /* avec ui and vj positive roots of Legendre polynom */ | |
4721 | /* of degree NBPNTU and NBPNTV respectively. Moreover, */ | |
4722 | /* table DIDITB(0,j) contains F(0,vj) - F(0,-vj), */ | |
4723 | /* and table DIDITB(i,0) contains F(ui,0) - F(-ui,0). */ | |
4724 | /* GSSUTB: Table of coefficients of integration by Gauss method */ | |
4725 | /* Gauss by U for fixed NDUJAC : i varies from 0 to NBPNTU/2. */ | |
4726 | ||
4727 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 4728 | /* ------------------- */ |
0d969553 Y |
4729 | /* CHPAIR: Table of terms connected to degree NDUJAC by U to calculate the */ |
4730 | /* coeff. of the approximation of EVEN degree by V. */ | |
4731 | /* CHIMPR: Table of terms connected to degree NDUJAC by U to calculate */ | |
4732 | /* the coeff. of approximation of UNEVEN degree by V. */ | |
7fd59977 | 4733 | |
0d969553 | 4734 | /* COMMONS USED : */ |
7fd59977 | 4735 | /* ---------------- */ |
4736 | ||
0d969553 | 4737 | /* REFERENCES CALLED : */ |
7fd59977 | 4738 | /* ----------------------- */ |
4739 | ||
0d969553 | 4740 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 4741 | /* ----------------------------------- */ |
4742 | ||
0d969553 | 4743 | |
7fd59977 | 4744 | /* > */ |
4745 | /* ********************************************************************** | |
4746 | */ | |
0d969553 | 4747 | /* Name of the routine */ |
7fd59977 | 4748 | |
4749 | ||
4750 | /* --------------------------- Initialisations -------------------------- | |
4751 | */ | |
4752 | ||
4753 | /* Parameter adjustments */ | |
4754 | --chimpr; | |
4755 | diditb_dim1 = *nbpntu / 2 + 1; | |
4756 | soditb_dim1 = *nbpntu / 2; | |
4757 | soditb_offset = soditb_dim1 + 1; | |
4758 | soditb -= soditb_offset; | |
4759 | disotb_dim1 = *nbpntu / 2; | |
4760 | disotb_offset = disotb_dim1 + 1; | |
4761 | disotb -= disotb_offset; | |
4762 | sosotb_dim1 = *nbpntu / 2 + 1; | |
4763 | ||
4764 | /* Function Body */ | |
4765 | ldbg = AdvApp2Var_SysBase::mnfndeb_() >= 3; | |
4766 | if (ldbg) { | |
4767 | AdvApp2Var_SysBase::mgenmsg_("MMA2CFU", 7L); | |
4768 | } | |
4769 | ||
4770 | nptu2 = *nbpntu / 2; | |
4771 | nptv2 = *nbpntv / 2; | |
4772 | ||
4773 | /* ********************************************************************** | |
4774 | */ | |
0d969553 | 4775 | /* CALCULATE COEFFICIENTS BY U */ |
7fd59977 | 4776 | |
0d969553 | 4777 | /* ----------------- Calculate coefficients of even degree -------------- |
7fd59977 | 4778 | */ |
4779 | ||
4780 | if (*ndujac % 2 == 0) { | |
4781 | i__1 = nptv2; | |
4782 | for (jj = 1; jj <= i__1; ++jj) { | |
4783 | bid1 = 0.; | |
4784 | bid2 = 0.; | |
4785 | i__2 = nptu2; | |
4786 | for (ii = 1; ii <= i__2; ++ii) { | |
4787 | bid0 = gssutb[ii]; | |
4788 | bid1 += sosotb[ii + jj * sosotb_dim1] * bid0; | |
4789 | bid2 += soditb[ii + jj * soditb_dim1] * bid0; | |
4790 | /* L200: */ | |
4791 | } | |
4792 | chpair[jj] = bid1; | |
4793 | chimpr[jj] = bid2; | |
4794 | /* L100: */ | |
4795 | } | |
4796 | ||
0d969553 | 4797 | /* --------------- Calculate coefficients of uneven degree ---------- |
7fd59977 | 4798 | ---- */ |
4799 | ||
4800 | } else { | |
4801 | i__1 = nptv2; | |
4802 | for (jj = 1; jj <= i__1; ++jj) { | |
4803 | bid1 = 0.; | |
4804 | bid2 = 0.; | |
4805 | i__2 = nptu2; | |
4806 | for (ii = 1; ii <= i__2; ++ii) { | |
4807 | bid0 = gssutb[ii]; | |
4808 | bid1 += disotb[ii + jj * disotb_dim1] * bid0; | |
4809 | bid2 += diditb[ii + jj * diditb_dim1] * bid0; | |
4810 | /* L250: */ | |
4811 | } | |
4812 | chpair[jj] = bid1; | |
4813 | chimpr[jj] = bid2; | |
4814 | /* L150: */ | |
4815 | } | |
4816 | } | |
4817 | ||
258ff83b | 4818 | /* ------- Add terms connected to the supplementary root (0.D0) ------ */ |
0d969553 | 4819 | /* ----------- of Legendre polynom of uneven degree NBPNTU ----------- |
7fd59977 | 4820 | */ |
0d969553 Y |
4821 | /* --> Only even NDUJAC terms are modified as GSSUTB(0) = 0 */ |
4822 | /* when NDUJAC is uneven. */ | |
7fd59977 | 4823 | |
4824 | if (*nbpntu % 2 != 0 && *ndujac % 2 == 0) { | |
4825 | bid0 = gssutb[0]; | |
4826 | i__1 = nptv2; | |
4827 | for (jj = 1; jj <= i__1; ++jj) { | |
4828 | chpair[jj] += sosotb[jj * sosotb_dim1] * bid0; | |
4829 | chimpr[jj] += diditb[jj * diditb_dim1] * bid0; | |
4830 | /* L300: */ | |
4831 | } | |
4832 | } | |
4833 | ||
0d969553 | 4834 | /* ------ Calculate the terms connected to supplementary roots (0.D0) ------ |
7fd59977 | 4835 | */ |
0d969553 | 4836 | /* ----------- of Legendre polynom of uneven degree NBPNTV ----------- |
7fd59977 | 4837 | */ |
4838 | ||
4839 | if (*nbpntv % 2 != 0) { | |
0d969553 | 4840 | /* --> Only CHPAIR terms are calculated as GSSVTB(0,IH-IDEBV)=0 |
7fd59977 | 4841 | */ |
0d969553 | 4842 | /* when IH is uneven (see MMA2CFV). */ |
7fd59977 | 4843 | |
4844 | if (*ndujac % 2 == 0) { | |
4845 | bid1 = 0.; | |
4846 | i__1 = nptu2; | |
4847 | for (ii = 1; ii <= i__1; ++ii) { | |
4848 | bid1 += sosotb[ii] * gssutb[ii]; | |
4849 | /* L400: */ | |
4850 | } | |
4851 | chpair[0] = bid1; | |
4852 | } else { | |
4853 | bid1 = 0.; | |
4854 | i__1 = nptu2; | |
4855 | for (ii = 1; ii <= i__1; ++ii) { | |
4856 | bid1 += diditb[ii] * gssutb[ii]; | |
4857 | /* L500: */ | |
4858 | } | |
4859 | chpair[0] = bid1; | |
4860 | } | |
4861 | if (*nbpntu % 2 != 0) { | |
4862 | chpair[0] += sosotb[0] * gssutb[0]; | |
4863 | } | |
4864 | } | |
4865 | ||
4866 | /* ------------------------------ The end ------------------------------- | |
4867 | */ | |
4868 | ||
4869 | if (ldbg) { | |
4870 | AdvApp2Var_SysBase::mgsomsg_("MMA2CFU", 7L); | |
4871 | } | |
4872 | return 0; | |
4873 | } /* mma2cfu_ */ | |
4874 | ||
4875 | //======================================================================= | |
4876 | //function : mma2cfv_ | |
4877 | //purpose : | |
4878 | //======================================================================= | |
4879 | int mma2cfv_(integer *ndvjac, | |
4880 | integer *mindgu, | |
4881 | integer *maxdgu, | |
4882 | integer *nbpntv, | |
4883 | doublereal *gssvtb, | |
4884 | doublereal *chpair, | |
4885 | doublereal *chimpr, | |
4886 | doublereal *patjac) | |
4887 | ||
4888 | { | |
4889 | /* System generated locals */ | |
4890 | integer chpair_dim1, chpair_offset, chimpr_dim1, chimpr_offset, | |
4891 | patjac_offset, i__1, i__2; | |
41194117 | 4892 | |
7fd59977 | 4893 | /* Local variables */ |
1ef32e96 RL |
4894 | logical ldbg; |
4895 | integer nptv2, ii, jj; | |
4896 | doublereal bid1; | |
7fd59977 | 4897 | |
4898 | /* ********************************************************************** | |
4899 | */ | |
4900 | ||
0d969553 | 4901 | /* FUNCTION : */ |
7fd59977 | 4902 | /* ---------- */ |
258ff83b | 4903 | /* Calculate the coefficients of polynomial approximation of F(u,v) */ |
0d969553 | 4904 | /* of degree NDVJAC by V and of degree by U varying from MINDGU to MAXDGU. |
7fd59977 | 4905 | */ |
4906 | ||
0d969553 | 4907 | /* Keywords : */ |
7fd59977 | 4908 | /* ----------- */ |
4909 | /* FONCTION,APPROXIMATION,COEFFICIENT,POLYNOME */ | |
4910 | ||
0d969553 | 4911 | /* INPUT ARGUMENTS : */ |
7fd59977 | 4912 | /* ------------------ */ |
7fd59977 | 4913 | |
0d969553 | 4914 | /* NDVJAC: Degree of the polynom of approximation by V. */ |
258ff83b | 4915 | /* The representation in the orthogonal base starts from degre 0. */ |
0d969553 Y |
4916 | /* The polynomial base is the base of Jacobi of order -1 */ |
4917 | /* (Legendre), 0, 1 or 2 */ | |
4918 | /* MINDGU: Degree minimum by U of coeff. to calculate. */ | |
4919 | /* MAXDGU: Degree maximum by U of coeff. to calculate. */ | |
4920 | /* NBPNTV: Degree of the Legendre polynom on the roots which of */ | |
4921 | /* the coefficients of integration by V are calculated */ | |
4922 | /* by Gauss method. It is reqired that NBPNTV = 30, 40, 50 or 61 and NDVJAC < NBPNTV. */ | |
4923 | /* GSSVTB: Table of coefficients of integration by Gauss method */ | |
4924 | /* by V for NDVJAC fixed: j varies from 0 to NBPNTV/2. */ | |
258ff83b | 4925 | /* CHPAIR: Table of terms connected to degrees from MINDGU to MAXDGU by U to */ |
0d969553 | 4926 | /* calculate the coeff. of approximation of EVEN degree NDVJAC by V. */ |
258ff83b | 4927 | /* CHIMPR: Table of terms connected to degrees from MINDGU to MAXDGU by U to */ |
0d969553 Y |
4928 | /* calculate the coeff. of approximation of UNEVEN degree NDVJAC by V. */ |
4929 | ||
4930 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 4931 | /* ------------------- */ |
0d969553 Y |
4932 | /* PATJAC: Table of coefficients by U of the polynom of approximation */ |
4933 | /* P(u,v) of degree MINDGU to MAXDGU by U and NDVJAC by V. */ | |
7fd59977 | 4934 | |
0d969553 Y |
4935 | /* COMMONS USED : */ |
4936 | /* -------------- */ | |
7fd59977 | 4937 | |
0d969553 Y |
4938 | /* REFERENCES CALLED : */ |
4939 | /* --------------------- */ | |
7fd59977 | 4940 | |
0d969553 Y |
4941 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
4942 | /* ------------------------------- */ | |
7fd59977 | 4943 | /* > */ |
4944 | /* ********************************************************************** | |
4945 | */ | |
0d969553 | 4946 | /* Name of the routine */ |
7fd59977 | 4947 | |
4948 | ||
4949 | /* --------------------------- Initialisations -------------------------- | |
4950 | */ | |
4951 | ||
4952 | /* Parameter adjustments */ | |
4953 | patjac_offset = *mindgu; | |
4954 | patjac -= patjac_offset; | |
4955 | chimpr_dim1 = *nbpntv / 2; | |
4956 | chimpr_offset = chimpr_dim1 * *mindgu + 1; | |
4957 | chimpr -= chimpr_offset; | |
4958 | chpair_dim1 = *nbpntv / 2 + 1; | |
4959 | chpair_offset = chpair_dim1 * *mindgu; | |
4960 | chpair -= chpair_offset; | |
4961 | ||
4962 | /* Function Body */ | |
4963 | ldbg = AdvApp2Var_SysBase::mnfndeb_() >= 3; | |
4964 | if (ldbg) { | |
4965 | AdvApp2Var_SysBase::mgenmsg_("MMA2CFV", 7L); | |
4966 | } | |
4967 | nptv2 = *nbpntv / 2; | |
4968 | ||
0d969553 | 4969 | /* --------- Calculate the coefficients for even degree NDVJAC ---------- |
7fd59977 | 4970 | */ |
4971 | ||
4972 | if (*ndvjac % 2 == 0) { | |
4973 | i__1 = *maxdgu; | |
4974 | for (ii = *mindgu; ii <= i__1; ++ii) { | |
4975 | bid1 = 0.; | |
4976 | i__2 = nptv2; | |
4977 | for (jj = 1; jj <= i__2; ++jj) { | |
4978 | bid1 += chpair[jj + ii * chpair_dim1] * gssvtb[jj]; | |
4979 | /* L200: */ | |
4980 | } | |
4981 | patjac[ii] = bid1; | |
4982 | /* L100: */ | |
4983 | } | |
4984 | ||
0d969553 | 4985 | /* -------- Calculate the coefficients for uneven degree NDVJAC ----- |
7fd59977 | 4986 | ---- */ |
4987 | ||
4988 | } else { | |
4989 | i__1 = *maxdgu; | |
4990 | for (ii = *mindgu; ii <= i__1; ++ii) { | |
4991 | bid1 = 0.; | |
4992 | i__2 = nptv2; | |
4993 | for (jj = 1; jj <= i__2; ++jj) { | |
4994 | bid1 += chimpr[jj + ii * chimpr_dim1] * gssvtb[jj]; | |
4995 | /* L250: */ | |
4996 | } | |
4997 | patjac[ii] = bid1; | |
4998 | /* L150: */ | |
4999 | } | |
5000 | } | |
5001 | ||
0d969553 Y |
5002 | /* ------- Add terms connected to the supplementary root (0.D0) ----- */ |
5003 | /* --------of the Legendre polynom of uneven degree NBPNTV --------- */ | |
7fd59977 | 5004 | |
5005 | if (*nbpntv % 2 != 0 && *ndvjac % 2 == 0) { | |
5006 | bid1 = gssvtb[0]; | |
5007 | i__1 = *maxdgu; | |
5008 | for (ii = *mindgu; ii <= i__1; ++ii) { | |
5009 | patjac[ii] += bid1 * chpair[ii * chpair_dim1]; | |
5010 | /* L300: */ | |
5011 | } | |
5012 | } | |
5013 | ||
5014 | /* ------------------------------ The end ------------------------------- | |
5015 | */ | |
5016 | ||
5017 | if (ldbg) { | |
5018 | AdvApp2Var_SysBase::mgsomsg_("MMA2CFV", 7L); | |
5019 | } | |
5020 | return 0; | |
5021 | } /* mma2cfv_ */ | |
5022 | ||
5023 | //======================================================================= | |
5024 | //function : mma2ds1_ | |
5025 | //purpose : | |
5026 | //======================================================================= | |
5027 | int AdvApp2Var_ApproxF2var::mma2ds1_(integer *ndimen, | |
5028 | doublereal *uintfn, | |
5029 | doublereal *vintfn, | |
41194117 | 5030 | const AdvApp2Var_EvaluatorFunc2Var& foncnp, |
7fd59977 | 5031 | integer *nbpntu, |
5032 | integer *nbpntv, | |
5033 | doublereal *urootb, | |
5034 | doublereal *vrootb, | |
5035 | integer *isofav, | |
5036 | doublereal *sosotb, | |
5037 | doublereal *disotb, | |
5038 | doublereal *soditb, | |
5039 | doublereal *diditb, | |
5040 | doublereal *fpntab, | |
5041 | doublereal *ttable, | |
5042 | integer *iercod) | |
5043 | ||
5044 | { | |
5045 | /* System generated locals */ | |
5046 | integer sosotb_dim1, sosotb_dim2, sosotb_offset, disotb_dim1, disotb_dim2, | |
5047 | disotb_offset, soditb_dim1, soditb_dim2, soditb_offset, | |
5048 | diditb_dim1, diditb_dim2, diditb_offset, fpntab_dim1, | |
5049 | fpntab_offset, i__1; | |
5050 | ||
5051 | /* Local variables */ | |
1ef32e96 RL |
5052 | logical ldbg; |
5053 | integer ibid1, ibid2, iuouv, nd; | |
5054 | integer isz1, isz2; | |
7fd59977 | 5055 | |
7fd59977 | 5056 | /* ********************************************************************** |
5057 | */ | |
5058 | ||
0d969553 | 5059 | /* FUNCTION : */ |
7fd59977 | 5060 | /* ---------- */ |
0d969553 | 5061 | /* Discretisation of function F(u,v) on the roots of Legendre polynoms. */ |
7fd59977 | 5062 | |
0d969553 | 5063 | /* KEYWORDS : */ |
7fd59977 | 5064 | /* ----------- */ |
5065 | /* FONCTION&,DISCRETISATION,&POINT */ | |
5066 | ||
0d969553 | 5067 | /* INPUT ARGUMENTS : */ |
7fd59977 | 5068 | /* ------------------ */ |
0d969553 Y |
5069 | /* NDIMEN: Dimension of the space. */ |
5070 | /* UINTFN: Limits of the interval of definition by u of the function */ | |
5071 | /* to be processed: (UINTFN(1),UINTFN(2)). */ | |
5072 | /* VINTFN: Limits of the interval of definition by v of the function */ | |
5073 | /* to be processed: (VINTFN(1),VINTFN(2)). */ | |
5074 | /* FONCNP: The NAME of the non-polynomial function to be processed. */ | |
5075 | /* NBPNTU: The degree of Legendre polynom on the roots which of */ | |
5076 | /* FONCNP is discretized by u. */ | |
5077 | /* NBPNTV: The degree of Legendre polynom on the roots which of */ | |
5078 | /* FONCNP is discretized by v. */ | |
5079 | /* UROOTB: Table of STRICTLY POSITIVE roots of the polynom */ | |
5080 | /* of Legendre of degree NBPNTU defined on (-1,1). */ | |
5081 | /* VROOTB: Table of STRICTLY POSITIVE roots of the polynom */ | |
5082 | /* of Legendre of degree NBPNTV defined on (-1,1). */ | |
5083 | /* ISOFAV: Shows the type of iso of F(u,v) to be extracted to improve */ | |
5084 | /* the rapidity of calculation (has no influence on the form */ | |
5085 | /* of result) */ | |
5086 | /* = 1, shows that it is necessary to calculate the points of F(u,v) */ | |
5087 | /* with fixed u (with NBPNTV values different from v). */ | |
5088 | /* = 2, shows that it is necessaty to calculate the points of F(u,v) */ | |
5089 | /* with fixed v (with NBPNTU values different from u). */ | |
5090 | /* SOSOTB: Preinitialized table (input/output argument). */ | |
5091 | /* DISOTB: Preinitialized table (input/output argument). */ | |
5092 | /* SODITB: Preinitialized table (input/output argument). */ | |
5093 | /* DIDITB: Preinitialized table (input/output argument). */ | |
5094 | ||
5095 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 5096 | /* ------------------- */ |
0d969553 | 5097 | /* SOSOTB: Table where the terms */ |
7fd59977 | 5098 | /* F(ui,vj) + F(ui,-vj) + F(-ui,vj) + F(-ui,-vj) */ |
0d969553 Y |
5099 | /* are added with ui and vj positive roots of Legendre polynom */ |
5100 | /* of degree NBPNTU and NBPNTV respectively. */ | |
5101 | /* DISOTB: Table where the terms */ | |
7fd59977 | 5102 | /* F(ui,vj) + F(ui,-vj) - F(-ui,vj) - F(-ui,-vj) */ |
0d969553 Y |
5103 | /* are added with ui and vj positive roots of Legendre polynom */ |
5104 | /* of degree NBPNTU and NBPNTV respectively. */ | |
5105 | /* SODITB: Table where the terms */ | |
7fd59977 | 5106 | /* F(ui,vj) - F(ui,-vj) + F(-ui,vj) - F(-ui,-vj) */ |
0d969553 Y |
5107 | /* are added with ui and vj positive roots of Legendre polynom */ |
5108 | /* of degree NBPNTU and NBPNTV respectively. */ | |
5109 | /* DIDITB: Table where the terms */ | |
7fd59977 | 5110 | /* F(ui,vj) - F(ui,-vj) - F(-ui,vj) + F(-ui,-vj) */ |
0d969553 Y |
5111 | /* are added with ui and vj positive roots of Legendre polynom */ |
5112 | /* of degree NBPNTU and NBPNTV respectively. */ | |
5113 | /* FPNTAB: Auxiliary table. */ | |
5114 | /* TTABLE: Auxiliary table. */ | |
5115 | /* IERCOD: Error code >100 Pb in the evaluation of FONCNP, */ | |
5116 | /* the returned error code is equal to error code of FONCNP + 100. */ | |
5117 | ||
5118 | /* COMMONS USED : */ | |
7fd59977 | 5119 | /* ---------------- */ |
5120 | ||
0d969553 Y |
5121 | /* REFERENCES CALLED : */ |
5122 | /* --------------------- */ | |
7fd59977 | 5123 | |
0d969553 | 5124 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 5125 | /* ----------------------------------- */ |
0d969553 Y |
5126 | /* --> The external function created by the caller of MA2F1K, MA2FDK */ |
5127 | /* where MA2FXK should be in the following form : */ | |
7fd59977 | 5128 | /* SUBROUTINE FONCNP(NDIMEN,UINTFN,VINTFN,ISOFAV,TCONST,NBPTAB */ |
5129 | /* ,TTABLE,IDERIU,IDERIV,PPNTAB,IERCOD) */ | |
0d969553 Y |
5130 | /* with the following input arguments : */ |
5131 | /* - NDIMEN is integer defined as the sum of dimensions of */ | |
5132 | /* sub-spaces (i.e. total dimension of the problem). */ | |
5133 | /* - UINTFN(2) is a table of 2 reals containing the interval */ | |
5134 | /* by u where the function to be approximated is defined */ | |
5135 | /* (so it is equal to UIFONC). */ | |
5136 | /* - VINTFN(2) is a table of 2 reals containing the interval */ | |
5137 | /* by v where the function to be approximated is defined */ | |
5138 | /* (so it is equal to VIFONC). */ | |
5139 | /* - ISOFAV, is 1 if it is necessary to calculate points with constant u, */ | |
5140 | /* is 2 if it is necessary to calculate points with constant v. */ | |
5141 | /* Any other value is an error. */ | |
5142 | /* - TCONST, real, value of the fixed parameter. Takes values */ | |
5143 | /* in (UIFONC(1),UIFONC(2)) if ISOFAV = 1 or */ | |
5144 | /* ins (VIFONC(1),VIFONC(2)) if ISOFAV = 2. */ | |
5145 | /* - NBPTAB, integer. Shows the number of points to be calculated. */ | |
5146 | /* - TTABLE, a table of reals NBPTAB. These are the values of */ | |
5147 | /* 'free' parameter of discretization (v if IISOFAV=1, */ | |
5148 | /* u if IISOFAV=2). */ | |
5149 | /* - IDERIU, integer, takes values between 0 (position) */ | |
5150 | /* and IORDRE(1) (partial derivative of the function by u */ | |
5151 | /* of order IORDRE(1) if IORDRE(1) > 0). */ | |
5152 | /* - IDERIV, integer, takes values between 0 (position) */ | |
5153 | /* and IORDRE(2) (partial derivative of the function by v */ | |
5154 | /* of order IORDRE(2) if IORDRE(2) > 0). */ | |
5155 | /* If IDERIU=i and IDERIV=j, FONCNP should calculate the */ | |
5156 | /* points of the derivative : */ | |
7fd59977 | 5157 | /* i+j */ |
5158 | /* d F(u,v) */ | |
5159 | /* -------- */ | |
5160 | /* i j */ | |
5161 | /* du dv */ | |
5162 | ||
0d969553 Y |
5163 | /* and the output arguments aret : */ |
5164 | /* - FPNTAB(NDIMEN,NBPTAB) contains, at output, the table of */ | |
5165 | /* NBPTAB points calculated in FONCNP. */ | |
5166 | /* - IERCOD is, at output the error code of FONCNP. This code */ | |
5167 | /* (integer) should be strictly positive if there is a problem. */ | |
7fd59977 | 5168 | |
0d969553 | 5169 | /* The input arguments SHOULD NOT be modified under FONCNP. |
7fd59977 | 5170 | */ |
5171 | ||
0d969553 Y |
5172 | /* -->As FONCNP is not forcedly defined in (-1,1)*(-1,1), the */ |
5173 | /* values of UROOTB and VROOTB are consequently modified. */ | |
7fd59977 | 5174 | |
0d969553 Y |
5175 | /* -->The results of discretisation are ranked in 4 tables */ |
5176 | /* SOSOTB, DISOTB, SODITB and DIDITB to earn time */ | |
5177 | /* during the calculation of coefficients of the polynom of approximation. */ | |
7fd59977 | 5178 | |
0d969553 Y |
5179 | /* When NBPNTU is uneven : */ |
5180 | /* table SOSOTB(0,j) contains F(0,vj) + F(0,-vj), */ | |
5181 | /* table DIDITB(0,j) contains F(0,vj) - F(0,-vj), */ | |
5182 | /* When NBPNTV is uneven : */ | |
5183 | /* table SOSOTB(i,0) contains F(ui,0) + F(-ui,0), */ | |
5184 | /* table DIDITB(i,0) contains F(ui,0) - F(-ui,0), */ | |
5185 | /* When NBPNTU and NBPNTV are uneven : */ | |
5186 | /* term SOSOTB(0,0) contains F(0,0). */ | |
7fd59977 | 5187 | |
7fd59977 | 5188 | /* > */ |
5189 | /* ********************************************************************** | |
5190 | */ | |
0d969553 | 5191 | /* Name of the routine */ |
7fd59977 | 5192 | |
5193 | ||
0d969553 | 5194 | /* --------------------------- Initialization -------------------------- |
7fd59977 | 5195 | */ |
5196 | ||
5197 | /* Parameter adjustments */ | |
5198 | fpntab_dim1 = *ndimen; | |
5199 | fpntab_offset = fpntab_dim1 + 1; | |
5200 | fpntab -= fpntab_offset; | |
5201 | --uintfn; | |
5202 | --vintfn; | |
5203 | --urootb; | |
5204 | diditb_dim1 = *nbpntu / 2 + 1; | |
5205 | diditb_dim2 = *nbpntv / 2 + 1; | |
5206 | diditb_offset = diditb_dim1 * diditb_dim2; | |
5207 | diditb -= diditb_offset; | |
5208 | soditb_dim1 = *nbpntu / 2; | |
5209 | soditb_dim2 = *nbpntv / 2; | |
5210 | soditb_offset = soditb_dim1 * (soditb_dim2 + 1) + 1; | |
5211 | soditb -= soditb_offset; | |
5212 | disotb_dim1 = *nbpntu / 2; | |
5213 | disotb_dim2 = *nbpntv / 2; | |
5214 | disotb_offset = disotb_dim1 * (disotb_dim2 + 1) + 1; | |
5215 | disotb -= disotb_offset; | |
5216 | sosotb_dim1 = *nbpntu / 2 + 1; | |
5217 | sosotb_dim2 = *nbpntv / 2 + 1; | |
5218 | sosotb_offset = sosotb_dim1 * sosotb_dim2; | |
5219 | sosotb -= sosotb_offset; | |
5220 | --vrootb; | |
5221 | --ttable; | |
5222 | ||
5223 | /* Function Body */ | |
5224 | ldbg = AdvApp2Var_SysBase::mnfndeb_() >= 3; | |
5225 | if (ldbg) { | |
5226 | AdvApp2Var_SysBase::mgenmsg_("MMA2DS1", 7L); | |
5227 | } | |
5228 | *iercod = 0; | |
5229 | if (*isofav < 1 || *isofav > 2) { | |
5230 | iuouv = 2; | |
5231 | } else { | |
5232 | iuouv = *isofav; | |
5233 | } | |
5234 | ||
5235 | /* ********************************************************************** | |
5236 | */ | |
0d969553 Y |
5237 | /* --------- Discretization by U on the roots of the polynom of ------ */ |
5238 | /* --------------- Legendre of degree NBPNTU, iso-V by iso-V --------- */ | |
7fd59977 | 5239 | /* ********************************************************************** |
5240 | */ | |
5241 | ||
5242 | if (iuouv == 2) { | |
5243 | mma2ds2_(ndimen, &uintfn[1], &vintfn[1], foncnp, nbpntu, nbpntv, & | |
5244 | urootb[1], &vrootb[1], &iuouv, &sosotb[sosotb_offset], & | |
5245 | disotb[disotb_offset], &soditb[soditb_offset], &diditb[ | |
5246 | diditb_offset], &fpntab[fpntab_offset], &ttable[1], iercod); | |
5247 | ||
5248 | /* ****************************************************************** | |
5249 | **** */ | |
0d969553 Y |
5250 | /* --------- Discretization by V on the roots of the polynom of ------ */ |
5251 | /* --------------- Legendre of degree NBPNTV, iso-V by iso-V --------- */ | |
7fd59977 | 5252 | /* ****************************************************************** |
5253 | **** */ | |
5254 | ||
5255 | } else { | |
0d969553 | 5256 | /* --> Inversion of indices of tables */ |
7fd59977 | 5257 | i__1 = *ndimen; |
5258 | for (nd = 1; nd <= i__1; ++nd) { | |
5259 | isz1 = *nbpntu / 2 + 1; | |
5260 | isz2 = *nbpntv / 2 + 1; | |
5261 | AdvApp2Var_MathBase::mmfmtb1_(&isz1, &sosotb[nd * sosotb_dim2 * sosotb_dim1], &isz1, & | |
5262 | isz2, &isz2, &sosotb[nd * sosotb_dim2 * sosotb_dim1], & | |
5263 | ibid1, &ibid2, iercod); | |
5264 | if (*iercod > 0) { | |
5265 | goto L9999; | |
5266 | } | |
5267 | AdvApp2Var_MathBase::mmfmtb1_(&isz1, &diditb[nd * diditb_dim2 * diditb_dim1], &isz1, & | |
5268 | isz2, &isz2, &diditb[nd * diditb_dim2 * diditb_dim1], & | |
5269 | ibid1, &ibid2, iercod); | |
5270 | if (*iercod > 0) { | |
5271 | goto L9999; | |
5272 | } | |
5273 | isz1 = *nbpntu / 2; | |
5274 | isz2 = *nbpntv / 2; | |
5275 | AdvApp2Var_MathBase::mmfmtb1_(&isz1, &soditb[(nd * soditb_dim2 + 1) * soditb_dim1 + 1], | |
5276 | &isz1, &isz2, &isz2, &soditb[(nd * soditb_dim2 + 1) * | |
5277 | soditb_dim1 + 1], &ibid1, &ibid2, iercod); | |
5278 | if (*iercod > 0) { | |
5279 | goto L9999; | |
5280 | } | |
5281 | AdvApp2Var_MathBase::mmfmtb1_(&isz1, &disotb[(nd * disotb_dim2 + 1) * disotb_dim1 + 1], | |
5282 | &isz1, &isz2, &isz2, &disotb[(nd * disotb_dim2 + 1) * | |
5283 | disotb_dim1 + 1], &ibid1, &ibid2, iercod); | |
5284 | if (*iercod > 0) { | |
5285 | goto L9999; | |
5286 | } | |
5287 | /* L100: */ | |
5288 | } | |
5289 | ||
5290 | mma2ds2_(ndimen, &vintfn[1], &uintfn[1], foncnp, nbpntv, nbpntu, & | |
5291 | vrootb[1], &urootb[1], &iuouv, &sosotb[sosotb_offset], & | |
5292 | soditb[soditb_offset], &disotb[disotb_offset], &diditb[ | |
5293 | diditb_offset], &fpntab[fpntab_offset], &ttable[1], iercod); | |
0d969553 | 5294 | /* --> Inversion of indices of tables */ |
7fd59977 | 5295 | i__1 = *ndimen; |
5296 | for (nd = 1; nd <= i__1; ++nd) { | |
5297 | isz1 = *nbpntv / 2 + 1; | |
5298 | isz2 = *nbpntu / 2 + 1; | |
5299 | AdvApp2Var_MathBase::mmfmtb1_(&isz1, &sosotb[nd * sosotb_dim2 * sosotb_dim1], &isz1, & | |
5300 | isz2, &isz2, &sosotb[nd * sosotb_dim2 * sosotb_dim1], & | |
5301 | ibid1, &ibid2, iercod); | |
5302 | if (*iercod > 0) { | |
5303 | goto L9999; | |
5304 | } | |
5305 | AdvApp2Var_MathBase::mmfmtb1_(&isz1, &diditb[nd * diditb_dim2 * diditb_dim1], &isz1, & | |
5306 | isz2, &isz2, &diditb[nd * diditb_dim2 * diditb_dim1], & | |
5307 | ibid1, &ibid2, iercod); | |
5308 | if (*iercod > 0) { | |
5309 | goto L9999; | |
5310 | } | |
5311 | isz1 = *nbpntv / 2; | |
5312 | isz2 = *nbpntu / 2; | |
5313 | AdvApp2Var_MathBase::mmfmtb1_(&isz1, &soditb[(nd * soditb_dim2 + 1) * soditb_dim1 + 1], | |
5314 | &isz1, &isz2, &isz2, &soditb[(nd * soditb_dim2 + 1) * | |
5315 | soditb_dim1 + 1], &ibid1, &ibid2, iercod); | |
5316 | if (*iercod > 0) { | |
5317 | goto L9999; | |
5318 | } | |
5319 | AdvApp2Var_MathBase::mmfmtb1_(&isz1, &disotb[(nd * disotb_dim2 + 1) * disotb_dim1 + 1], | |
5320 | &isz1, &isz2, &isz2, &disotb[(nd * disotb_dim2 + 1) * | |
5321 | disotb_dim1 + 1], &ibid1, &ibid2, iercod); | |
5322 | if (*iercod > 0) { | |
5323 | goto L9999; | |
5324 | } | |
5325 | /* L200: */ | |
5326 | } | |
5327 | } | |
5328 | ||
5329 | /* ------------------------------ The end ------------------------------- | |
5330 | */ | |
5331 | ||
5332 | L9999: | |
5333 | if (*iercod > 0) { | |
5334 | *iercod += 100; | |
5335 | AdvApp2Var_SysBase::maermsg_("MMA2DS1", iercod, 7L); | |
5336 | } | |
5337 | if (ldbg) { | |
5338 | AdvApp2Var_SysBase::mgsomsg_("MMA2DS1", 7L); | |
5339 | } | |
5340 | return 0; | |
5341 | } /* mma2ds1_ */ | |
5342 | ||
5343 | //======================================================================= | |
5344 | //function : mma2ds2_ | |
5345 | //purpose : | |
5346 | //======================================================================= | |
5347 | int mma2ds2_(integer *ndimen, | |
5348 | doublereal *uintfn, | |
5349 | doublereal *vintfn, | |
41194117 | 5350 | const AdvApp2Var_EvaluatorFunc2Var& foncnp, |
7fd59977 | 5351 | integer *nbpntu, |
5352 | integer *nbpntv, | |
5353 | doublereal *urootb, | |
5354 | doublereal *vrootb, | |
5355 | integer *iiuouv, | |
5356 | doublereal *sosotb, | |
5357 | doublereal *disotb, | |
5358 | doublereal *soditb, | |
5359 | doublereal *diditb, | |
5360 | doublereal *fpntab, | |
5361 | doublereal *ttable, | |
5362 | integer *iercod) | |
5363 | ||
5364 | { | |
1ef32e96 | 5365 | integer c__0 = 0; |
7fd59977 | 5366 | /* System generated locals */ |
5367 | integer sosotb_dim1, sosotb_dim2, sosotb_offset, disotb_dim1, disotb_dim2, | |
5368 | disotb_offset, soditb_dim1, soditb_dim2, soditb_offset, | |
5369 | diditb_dim1, diditb_dim2, diditb_offset, fpntab_dim1, | |
5370 | fpntab_offset, i__1, i__2, i__3; | |
5371 | ||
5372 | /* Local variables */ | |
1ef32e96 RL |
5373 | integer jdec; |
5374 | logical ldbg; | |
5375 | doublereal alinu, blinu, alinv, blinv, tcons; | |
5376 | doublereal dbfn1[2], dbfn2[2]; | |
5377 | integer nuroo, nvroo, id, iu, iv; | |
5378 | doublereal um, up; | |
7fd59977 | 5379 | |
5380 | ||
5381 | /* ********************************************************************** | |
5382 | */ | |
5383 | ||
0d969553 | 5384 | /* FUNCTION : */ |
7fd59977 | 5385 | /* ---------- */ |
0d969553 | 5386 | /* Discretization of function F(u,v) on the roots of polynoms of Legendre. */ |
7fd59977 | 5387 | |
0d969553 | 5388 | /* KEYWORDS : */ |
7fd59977 | 5389 | /* ----------- */ |
5390 | /* FONCTION&,DISCRETISATION,&POINT */ | |
5391 | ||
0d969553 | 5392 | /* INPUT ARGUMENTS : */ |
7fd59977 | 5393 | /* ------------------ */ |
0d969553 Y |
5394 | /* NDIMEN: Dimension of the space. */ |
5395 | /* UINTFN: Limits of the interval of definition by u of the function */ | |
5396 | /* to be processed: (UINTFN(1),UINTFN(2)). */ | |
5397 | /* VINTFN: Limits of the interval of definition by v of the function */ | |
5398 | /* to be processed: (VINTFN(1),VINTFN(2)). */ | |
5399 | /* FONCNP: The NAME of the non-polynomial function to be processed. */ | |
5400 | /* NBPNTU: The degree of Legendre polynom on the roots which of */ | |
5401 | /* FONCNP is discretized by u. */ | |
5402 | /* NBPNTV: The degree of Legendre polynom on the roots which of */ | |
5403 | /* FONCNP is discretized by v. */ | |
5404 | /* UROOTB: Table of STRICTLY POSITIVE roots of the polynom */ | |
5405 | /* of Legendre of degree NBPNTU defined on (-1,1). */ | |
5406 | /* VROOTB: Table of STRICTLY POSITIVE roots of the polynom */ | |
5407 | /* of Legendre of degree NBPNTV defined on (-1,1). */ | |
5408 | /* IIUOUV: Shows the type of iso of F(u,v) tom be extracted to improve the */ | |
5409 | /* rapidity of calculation (has no influence on the form of result) */ | |
5410 | /* = 1, shows that it is necessary to calculate the points of F(u,v) */ | |
5411 | /* with fixed u (so with NBPNTV values different from v). */ | |
5412 | /* = 2, shows that it is necessary to calculate the points of F(u,v) */ | |
5413 | /* with fixed v (so with NBPNTV values different from u). */ | |
5414 | /* SOSOTB: Preinitialized table (input/output argument). */ | |
5415 | /* DISOTB: Preinitialized table (input/output argument). */ | |
5416 | /* SODITB: Preinitialized table (input/output argument). */ | |
5417 | /* DIDITB: Preinitialized table (input/output argument). */ | |
5418 | ||
5419 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 5420 | /* ------------------- */ |
0d969553 | 5421 | /* SOSOTB: Table where the terms */ |
7fd59977 | 5422 | /* F(ui,vj) + F(ui,-vj) + F(-ui,vj) + F(-ui,-vj) */ |
0d969553 Y |
5423 | /* are added with ui and vj positive roots of Legendre polynom */ |
5424 | /* of degree NBPNTU and NBPNTV respectively. */ | |
5425 | /* DISOTB: Table where the terms */ | |
7fd59977 | 5426 | /* F(ui,vj) + F(ui,-vj) - F(-ui,vj) - F(-ui,-vj) */ |
0d969553 Y |
5427 | /* are added with ui and vj positive roots of Legendre polynom */ |
5428 | /* of degree NBPNTU and NBPNTV respectively. */ | |
5429 | /* SODITB: Table where the terms */ | |
7fd59977 | 5430 | /* F(ui,vj) - F(ui,-vj) + F(-ui,vj) - F(-ui,-vj) */ |
0d969553 Y |
5431 | /* are added with ui and vj positive roots of Legendre polynom */ |
5432 | /* of degree NBPNTU and NBPNTV respectively. */ | |
5433 | /* DIDITB: Table where the terms */ | |
7fd59977 | 5434 | /* F(ui,vj) - F(ui,-vj) - F(-ui,vj) + F(-ui,-vj) */ |
0d969553 Y |
5435 | /* are added with ui and vj positive roots of Legendre polynom */ |
5436 | /* of degree NBPNTU and NBPNTV respectively. */ | |
5437 | /* FPNTAB: Auxiliary table. */ | |
5438 | /* TTABLE: Auxiliary table. */ | |
5439 | /* IERCOD: Error code >100 Pb in the evaluation of FONCNP, */ | |
5440 | /* the returned error code is equal to error code of FONCNP + 100. */ | |
5441 | ||
5442 | /* COMMONS USED : */ | |
7fd59977 | 5443 | /* ---------------- */ |
5444 | ||
0d969553 Y |
5445 | /* REFERENCES CALLED : */ |
5446 | /* --------------------- */ | |
7fd59977 | 5447 | |
0d969553 | 5448 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 5449 | /* ----------------------------------- */ |
0d969553 Y |
5450 | /* --> The external function created by the caller of MA2F1K, MA2FDK */ |
5451 | /* where MA2FXK should be in the following form : */ | |
7fd59977 | 5452 | /* SUBROUTINE FONCNP(NDIMEN,UINTFN,VINTFN,IIIUOUV,TCONST,NBPTAB */ |
5453 | /* ,TTABLE,IDERIU,IDERIV,PPNTAB,IERCOD) */ | |
0d969553 Y |
5454 | /* with the following input arguments : */ |
5455 | /* - NDIMEN is integer defined as the sum of dimensions of */ | |
5456 | /* sub-spaces (i.e. total dimension of the problem). */ | |
5457 | /* - UINTFN(2) is a table of 2 reals containing the interval */ | |
5458 | /* by u where the function to be approximated is defined */ | |
5459 | /* (so it is equal to UIFONC). */ | |
5460 | /* - VINTFN(2) is a table of 2 reals containing the interval */ | |
5461 | /* by v where the function to be approximated is defined */ | |
5462 | /* (so it is equal to VIFONC). */ | |
5463 | /* - IIIUOUV, is 1 if it is necessary to calculate points with constant u, */ | |
5464 | /* is 2 if it is necessary to calculate points with constant v. */ | |
5465 | /* Any other value is an error. */ | |
5466 | /* - TCONST, real, value of the fixed parameter. Takes values */ | |
5467 | /* in (UIFONC(1),UIFONC(2)) if ISOFAV = 1 or */ | |
5468 | /* ins (VIFONC(1),VIFONC(2)) if ISOFAV = 2. */ | |
5469 | /* - NBPTAB, integer. Shows the number of points to be calculated. */ | |
5470 | /* - TTABLE, a table of reals NBPTAB. These are the values of */ | |
5471 | /* 'free' parameter of discretization (v if IIIUOUV=1, */ | |
5472 | /* u if IIIUOUV=2). */ | |
5473 | /* - IDERIU, integer, takes values between 0 (position) */ | |
5474 | /* and IORDRE(1) (partial derivative of the function by u */ | |
5475 | /* of order IORDRE(1) if IORDRE(1) > 0). */ | |
5476 | /* - IDERIV, integer, takes values between 0 (position) */ | |
5477 | /* and IORDRE(2) (partial derivative of the function by v */ | |
5478 | /* of order IORDRE(2) if IORDRE(2) > 0). */ | |
5479 | /* If IDERIU=i and IDERIV=j, FONCNP should calculate the */ | |
5480 | /* points of the derivative : */ | |
7fd59977 | 5481 | /* i+j */ |
5482 | /* d F(u,v) */ | |
5483 | /* -------- */ | |
5484 | /* i j */ | |
5485 | /* du dv */ | |
5486 | ||
0d969553 Y |
5487 | /* and the output arguments aret : */ |
5488 | /* - FPNTAB(NDIMEN,NBPTAB) contains, at output, the table of */ | |
5489 | /* NBPTAB points calculated in FONCNP. */ | |
5490 | /* - IERCOD is, at output the error code of FONCNP. This code */ | |
5491 | /* (integer) should be strictly positive if there is a problem. */ | |
5492 | ||
5493 | /* The input arguments SHOULD NOT be modified under FONCNP. | |
5494 | */ | |
5495 | ||
5496 | /* -->As FONCNP is not forcedly defined in (-1,1)*(-1,1), the */ | |
5497 | /* values of UROOTB and VROOTB are consequently modified. */ | |
5498 | ||
5499 | /* -->The results of discretisation are ranked in 4 tables */ | |
5500 | /* SOSOTB, DISOTB, SODITB and DIDITB to earn time */ | |
5501 | /* during the calculation of coefficients of the polynom of approximation. */ | |
5502 | ||
5503 | /* When NBPNTU is uneven : */ | |
5504 | /* table SOSOTB(0,j) contains F(0,vj) + F(0,-vj), */ | |
5505 | /* table DIDITB(0,j) contains F(0,vj) - F(0,-vj), */ | |
5506 | /* When NBPNTV is uneven : */ | |
5507 | /* table SOSOTB(i,0) contains F(ui,0) + F(-ui,0), */ | |
5508 | /* table DIDITB(i,0) contains F(ui,0) - F(-ui,0), */ | |
5509 | /* When NBPNTU and NBPNTV are uneven : */ | |
5510 | /* term SOSOTB(0,0) contains F(0,0). */ | |
5511 | ||
5512 | /* ATTENTION: These 4 tables are filled by varying the */ | |
5513 | /* 1st index first. So, the discretizations */ | |
5514 | /* of F(...,t) (for IIUOUV = 2) or of F(t,...) (IIUOUV = 1) */ | |
5515 | /* are stored in SOSOTB(...,t), SODITB(...,t), etc... */ | |
5516 | /* (this allows to gain important time). */ | |
5517 | /* It is required that the caller, in case of IIUOUV=1, */ | |
5518 | /* invert the roles of u and v, of SODITB and DISOTB BEFORE the */ | |
7fd59977 | 5519 | |
7fd59977 | 5520 | /* > */ |
5521 | /* ********************************************************************** | |
5522 | */ | |
5523 | ||
0d969553 | 5524 | /* Name of the routine */ |
7fd59977 | 5525 | |
0d969553 | 5526 | /* --> Indices of loops. */ |
7fd59977 | 5527 | |
0d969553 | 5528 | /* --------------------------- Initialization -------------------------- |
7fd59977 | 5529 | */ |
5530 | ||
5531 | /* Parameter adjustments */ | |
5532 | --uintfn; | |
5533 | --vintfn; | |
5534 | --ttable; | |
5535 | fpntab_dim1 = *ndimen; | |
5536 | fpntab_offset = fpntab_dim1 + 1; | |
5537 | fpntab -= fpntab_offset; | |
5538 | --urootb; | |
5539 | diditb_dim1 = *nbpntu / 2 + 1; | |
5540 | diditb_dim2 = *nbpntv / 2 + 1; | |
5541 | diditb_offset = diditb_dim1 * diditb_dim2; | |
5542 | diditb -= diditb_offset; | |
5543 | soditb_dim1 = *nbpntu / 2; | |
5544 | soditb_dim2 = *nbpntv / 2; | |
5545 | soditb_offset = soditb_dim1 * (soditb_dim2 + 1) + 1; | |
5546 | soditb -= soditb_offset; | |
5547 | disotb_dim1 = *nbpntu / 2; | |
5548 | disotb_dim2 = *nbpntv / 2; | |
5549 | disotb_offset = disotb_dim1 * (disotb_dim2 + 1) + 1; | |
5550 | disotb -= disotb_offset; | |
5551 | sosotb_dim1 = *nbpntu / 2 + 1; | |
5552 | sosotb_dim2 = *nbpntv / 2 + 1; | |
5553 | sosotb_offset = sosotb_dim1 * sosotb_dim2; | |
5554 | sosotb -= sosotb_offset; | |
5555 | --vrootb; | |
5556 | ||
5557 | /* Function Body */ | |
5558 | ldbg = AdvApp2Var_SysBase::mnfndeb_() >= 3; | |
5559 | if (ldbg) { | |
5560 | AdvApp2Var_SysBase::mgenmsg_("MMA2DS2", 7L); | |
5561 | } | |
5562 | *iercod = 0; | |
5563 | ||
5564 | alinu = (uintfn[2] - uintfn[1]) / 2.; | |
5565 | blinu = (uintfn[2] + uintfn[1]) / 2.; | |
5566 | alinv = (vintfn[2] - vintfn[1]) / 2.; | |
5567 | blinv = (vintfn[2] + vintfn[1]) / 2.; | |
5568 | ||
5569 | if (*iiuouv == 1) { | |
5570 | dbfn1[0] = vintfn[1]; | |
5571 | dbfn1[1] = vintfn[2]; | |
5572 | dbfn2[0] = uintfn[1]; | |
5573 | dbfn2[1] = uintfn[2]; | |
5574 | } else { | |
5575 | dbfn1[0] = uintfn[1]; | |
5576 | dbfn1[1] = uintfn[2]; | |
5577 | dbfn2[0] = vintfn[1]; | |
5578 | dbfn2[1] = vintfn[2]; | |
5579 | } | |
5580 | ||
5581 | /* ********************************************************************** | |
5582 | */ | |
0d969553 Y |
5583 | /* -------- Discretization by U on the roots of Legendre polynom -------- */ |
5584 | /* ---------------- of degree NBPNTU, with Vj fixed -------------------- */ | |
7fd59977 | 5585 | /* ********************************************************************** |
5586 | */ | |
5587 | ||
5588 | nuroo = *nbpntu / 2; | |
5589 | nvroo = *nbpntv / 2; | |
5590 | jdec = (*nbpntu + 1) / 2; | |
5591 | ||
0d969553 | 5592 | /* ----------- Loading of parameters of discretization by U ------------- */ |
7fd59977 | 5593 | |
5594 | i__1 = *nbpntu; | |
5595 | for (iu = 1; iu <= i__1; ++iu) { | |
5596 | ttable[iu] = blinu + alinu * urootb[iu]; | |
5597 | /* L100: */ | |
5598 | } | |
5599 | ||
0d969553 | 5600 | /* -------------- For Vj fixed, negative root of Legendre ------------- */ |
7fd59977 | 5601 | |
5602 | i__1 = nvroo; | |
5603 | for (iv = 1; iv <= i__1; ++iv) { | |
5604 | tcons = blinv + alinv * vrootb[iv]; | |
fadcea2c RL |
5605 | (*const_cast <AdvApp2Var_EvaluatorFunc2Var*> (&foncnp)).Evaluate ( |
5606 | ndimen, dbfn1, dbfn2, iiuouv, &tcons, nbpntu, & | |
5607 | ttable[1], &c__0, &c__0, &fpntab[fpntab_offset], iercod); | |
7fd59977 | 5608 | if (*iercod > 0) { |
5609 | goto L9999; | |
5610 | } | |
5611 | i__2 = *ndimen; | |
5612 | for (id = 1; id <= i__2; ++id) { | |
5613 | i__3 = nuroo; | |
5614 | for (iu = 1; iu <= i__3; ++iu) { | |
5615 | up = fpntab[id + (iu + jdec) * fpntab_dim1]; | |
5616 | um = fpntab[id + (nuroo - iu + 1) * fpntab_dim1]; | |
5617 | sosotb[iu + (nvroo - iv + 1 + id * sosotb_dim2) * sosotb_dim1] | |
5618 | = sosotb[iu + (nvroo - iv + 1 + id * sosotb_dim2) * | |
5619 | sosotb_dim1] + up + um; | |
5620 | disotb[iu + (nvroo - iv + 1 + id * disotb_dim2) * disotb_dim1] | |
5621 | = disotb[iu + (nvroo - iv + 1 + id * disotb_dim2) * | |
5622 | disotb_dim1] + up - um; | |
5623 | soditb[iu + (nvroo - iv + 1 + id * soditb_dim2) * soditb_dim1] | |
5624 | = soditb[iu + (nvroo - iv + 1 + id * soditb_dim2) * | |
5625 | soditb_dim1] - up - um; | |
5626 | diditb[iu + (nvroo - iv + 1 + id * diditb_dim2) * diditb_dim1] | |
5627 | = diditb[iu + (nvroo - iv + 1 + id * diditb_dim2) * | |
5628 | diditb_dim1] - up + um; | |
5629 | /* L220: */ | |
5630 | } | |
5631 | if (*nbpntu % 2 != 0) { | |
5632 | up = fpntab[id + jdec * fpntab_dim1]; | |
5633 | sosotb[(nvroo - iv + 1 + id * sosotb_dim2) * sosotb_dim1] += | |
5634 | up; | |
5635 | diditb[(nvroo - iv + 1 + id * diditb_dim2) * diditb_dim1] -= | |
5636 | up; | |
5637 | } | |
5638 | /* L210: */ | |
5639 | } | |
5640 | /* L200: */ | |
5641 | } | |
5642 | ||
0d969553 | 5643 | /* --------- For Vj = 0 (uneven NBPNTV), discretization by U ----------- */ |
7fd59977 | 5644 | |
5645 | if (*nbpntv % 2 != 0) { | |
5646 | tcons = blinv; | |
fadcea2c RL |
5647 | (*const_cast <AdvApp2Var_EvaluatorFunc2Var*> (&foncnp)).Evaluate ( |
5648 | ndimen, dbfn1, dbfn2, iiuouv, &tcons, nbpntu, & | |
5649 | ttable[1], &c__0, &c__0, &fpntab[fpntab_offset], iercod); | |
7fd59977 | 5650 | if (*iercod > 0) { |
5651 | goto L9999; | |
5652 | } | |
5653 | i__1 = *ndimen; | |
5654 | for (id = 1; id <= i__1; ++id) { | |
5655 | i__2 = nuroo; | |
5656 | for (iu = 1; iu <= i__2; ++iu) { | |
5657 | up = fpntab[id + (jdec + iu) * fpntab_dim1]; | |
5658 | um = fpntab[id + (nuroo - iu + 1) * fpntab_dim1]; | |
5659 | sosotb[iu + id * sosotb_dim2 * sosotb_dim1] = sosotb[iu + id * | |
5660 | sosotb_dim2 * sosotb_dim1] + up + um; | |
5661 | diditb[iu + id * diditb_dim2 * diditb_dim1] = diditb[iu + id * | |
5662 | diditb_dim2 * diditb_dim1] + up - um; | |
5663 | /* L310: */ | |
5664 | } | |
5665 | if (*nbpntu % 2 != 0) { | |
5666 | up = fpntab[id + jdec * fpntab_dim1]; | |
5667 | sosotb[id * sosotb_dim2 * sosotb_dim1] += up; | |
5668 | } | |
5669 | /* L300: */ | |
5670 | } | |
5671 | } | |
5672 | ||
0d969553 | 5673 | /* -------------- For Vj fixed, positive root of Legendre ------------- */ |
7fd59977 | 5674 | |
5675 | i__1 = nvroo; | |
5676 | for (iv = 1; iv <= i__1; ++iv) { | |
5677 | tcons = alinv * vrootb[(*nbpntv + 1) / 2 + iv] + blinv; | |
fadcea2c RL |
5678 | (*const_cast <AdvApp2Var_EvaluatorFunc2Var*> (&foncnp)).Evaluate ( |
5679 | ndimen, dbfn1, dbfn2, iiuouv, &tcons, nbpntu, & | |
5680 | ttable[1], &c__0, &c__0, &fpntab[fpntab_offset], iercod); | |
7fd59977 | 5681 | if (*iercod > 0) { |
5682 | goto L9999; | |
5683 | } | |
5684 | i__2 = *ndimen; | |
5685 | for (id = 1; id <= i__2; ++id) { | |
5686 | i__3 = nuroo; | |
5687 | for (iu = 1; iu <= i__3; ++iu) { | |
5688 | up = fpntab[id + (iu + jdec) * fpntab_dim1]; | |
5689 | um = fpntab[id + (nuroo - iu + 1) * fpntab_dim1]; | |
5690 | sosotb[iu + (iv + id * sosotb_dim2) * sosotb_dim1] = sosotb[ | |
5691 | iu + (iv + id * sosotb_dim2) * sosotb_dim1] + up + um; | |
5692 | disotb[iu + (iv + id * disotb_dim2) * disotb_dim1] = disotb[ | |
5693 | iu + (iv + id * disotb_dim2) * disotb_dim1] + up - um; | |
5694 | soditb[iu + (iv + id * soditb_dim2) * soditb_dim1] = soditb[ | |
5695 | iu + (iv + id * soditb_dim2) * soditb_dim1] + up + um; | |
5696 | diditb[iu + (iv + id * diditb_dim2) * diditb_dim1] = diditb[ | |
5697 | iu + (iv + id * diditb_dim2) * diditb_dim1] + up - um; | |
5698 | /* L420: */ | |
5699 | } | |
5700 | if (*nbpntu % 2 != 0) { | |
5701 | up = fpntab[id + jdec * fpntab_dim1]; | |
5702 | sosotb[(iv + id * sosotb_dim2) * sosotb_dim1] += up; | |
5703 | diditb[(iv + id * diditb_dim2) * diditb_dim1] += up; | |
5704 | } | |
5705 | /* L410: */ | |
5706 | } | |
5707 | /* L400: */ | |
5708 | } | |
5709 | ||
5710 | /* ------------------------------ The end ------------------------------- | |
5711 | */ | |
5712 | ||
5713 | L9999: | |
5714 | if (*iercod > 0) { | |
5715 | *iercod += 100; | |
5716 | AdvApp2Var_SysBase::maermsg_("MMA2DS2", iercod, 7L); | |
5717 | } | |
5718 | if (ldbg) { | |
5719 | AdvApp2Var_SysBase::mgsomsg_("MMA2DS2", 7L); | |
5720 | } | |
5721 | return 0; | |
5722 | } /* mma2ds2_ */ | |
5723 | ||
5724 | //======================================================================= | |
5725 | //function : mma2er1_ | |
5726 | //purpose : | |
5727 | //======================================================================= | |
5728 | int mma2er1_(integer *ndjacu, | |
5729 | integer *ndjacv, | |
5730 | integer *ndimen, | |
5731 | integer *mindgu, | |
5732 | integer *maxdgu, | |
5733 | integer *mindgv, | |
5734 | integer *maxdgv, | |
5735 | integer *iordru, | |
5736 | integer *iordrv, | |
5737 | doublereal *xmaxju, | |
5738 | doublereal *xmaxjv, | |
5739 | doublereal *patjac, | |
5740 | doublereal *vecerr, | |
5741 | doublereal *erreur) | |
5742 | ||
5743 | { | |
5744 | /* System generated locals */ | |
5745 | integer patjac_dim1, patjac_dim2, patjac_offset, i__1, i__2, i__3; | |
5746 | doublereal d__1; | |
41194117 | 5747 | |
7fd59977 | 5748 | /* Local variables */ |
1ef32e96 RL |
5749 | logical ldbg; |
5750 | integer minu, minv; | |
5751 | doublereal vaux[2]; | |
5752 | integer ii, nd, jj; | |
5753 | doublereal bid0, bid1; | |
7fd59977 | 5754 | |
7fd59977 | 5755 | /* ********************************************************************** |
5756 | */ | |
5757 | ||
0d969553 | 5758 | /* FUNCTION : */ |
7fd59977 | 5759 | /* ---------- */ |
0d969553 Y |
5760 | /* Calculate max approximation error done when */ |
5761 | /* the coefficients of PATJAC such that the degree by U varies between */ | |
5762 | /* MINDGU and MAXDGU and the degree by V varies between MINDGV and MAXDGV are removed. */ | |
7fd59977 | 5763 | |
0d969553 | 5764 | /* KEYWORDS : */ |
7fd59977 | 5765 | /* ----------- */ |
5766 | /* TOUS,AB_SPECIFI:: CARREAU&,CALCUL,&ERREUR */ | |
5767 | ||
0d969553 | 5768 | /* INPUT ARGUMENTS : */ |
7fd59977 | 5769 | /* ------------------ */ |
0d969553 Y |
5770 | /* NDJACU: Dimension by U of table PATJAC. */ |
5771 | /* NDJACV: Dimension by V of table PATJAC. */ | |
5772 | /* NDIMEN: Dimension of the space. */ | |
5773 | /* MINDGU: Lower limit of index by U of coeff. of PATJAC to be taken into account. */ | |
5774 | /* MAXDGU: Upper limit of index by U of coeff. of PATJAC to be taken into account. */ | |
5775 | /* MINDGV: Lower limit of index by V of coeff. of PATJAC to be taken into account. */ | |
5776 | /* MAXDGV: Upper limit of index by V of coeff. of PATJAC to be taken into account. */ | |
5777 | /* IORDRU: Order of continuity by U provided by square PATJAC (from -1 to 2) */ | |
5778 | /* IORDRV: Order of continuity by U provided by square PATJAC (from -1 to 2) */ | |
5779 | /* XMAXJU: Maximum value of Jacobi polynoms of order IORDRU, */ | |
5780 | /* from degree 0 to MAXDGU - 2*(IORDU+1) */ | |
5781 | /* XMAXJV: Maximum value of Jacobi polynoms of order IORDRV, */ | |
5782 | /* from degree 0 to MAXDGV - 2*(IORDV+1) */ | |
5783 | /* PATJAC: Table of coeff. of square of approximation with */ | |
5784 | /* constraints of order IORDRU by U and IORDRV by V. */ | |
5785 | /* VECERR: Auxiliary vector. */ | |
5786 | /* ERREUR: MAX Error commited during removal of ALREADY CALCULATED coeff of PATJAC */ | |
5787 | ||
5788 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 5789 | /* ------------------- */ |
0d969553 Y |
5790 | /* ERREUR: MAX Error commited during removal of coeff of PATJAC */ |
5791 | /* of indices from MINDGU to MAXDGU by U and from MINDGV to MAXDGV by V */ | |
5792 | /* THEN the already calculated error. */ | |
7fd59977 | 5793 | |
0d969553 | 5794 | /* COMMONS USED : */ |
7fd59977 | 5795 | /* ---------------- */ |
5796 | ||
0d969553 Y |
5797 | /* REFERENCES CALLED : */ |
5798 | /* --------------------- */ | |
7fd59977 | 5799 | |
0d969553 | 5800 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 5801 | /* ----------------------------------- */ |
0d969553 Y |
5802 | /* Table PATJAC is the place of storage of coeff. Cij of the square of */ |
5803 | /* approximation of F(U,V). The indices i and j show the degree */ | |
5804 | /* by U and by V of base polynoms. These polynoms have the form: */ | |
7fd59977 | 5805 | |
0d969553 | 5806 | /* ((1 - U*U)**(IORDRU+1)).J(i-2*(IORDRU+1)(U), where */ |
7fd59977 | 5807 | |
0d969553 Y |
5808 | /* polynom J(i-2*(IORDU+1)(U) is the Jacobi polynom of order */ |
5809 | /* IORDRU+1 (the same by V by replacing U u V in the expression above). */ | |
7fd59977 | 5810 | |
0d969553 Y |
5811 | /* The contribution to the error of term Cij when it is */ |
5812 | /* removed from PATJAC is increased by: */ | |
7fd59977 | 5813 | |
0d969553 | 5814 | /* DABS(Cij)*XMAXJU(i-2*(IORDRU+1))*XMAXJV(J-2*(IORDRV+1)) where */ |
7fd59977 | 5815 | |
5816 | /* XMAXJU(i-2*(IORDRU+1) = ((1 - U*U)**(IORDRU+1)).J(i-2*(IORDRU+1)(U), | |
5817 | */ | |
5818 | /* XMAXJV(i-2*(IORDRV+1) = ((1 - V*V)**(IORDRV+1)).J(j-2*(IORDRV+1)(V). | |
5819 | */ | |
5820 | ||
7fd59977 | 5821 | /* > */ |
5822 | /* *********************************************************************** | |
5823 | */ | |
0d969553 | 5824 | /* Name of the routine */ |
7fd59977 | 5825 | |
5826 | ||
5827 | /* ----------------------------- Initialisations ------------------------ | |
5828 | */ | |
5829 | ||
5830 | /* Parameter adjustments */ | |
5831 | --vecerr; | |
5832 | patjac_dim1 = *ndjacu + 1; | |
5833 | patjac_dim2 = *ndjacv + 1; | |
5834 | patjac_offset = patjac_dim1 * patjac_dim2; | |
5835 | patjac -= patjac_offset; | |
5836 | ||
5837 | /* Function Body */ | |
5838 | ldbg = AdvApp2Var_SysBase::mnfndeb_() >= 3; | |
5839 | if (ldbg) { | |
5840 | AdvApp2Var_SysBase::mgenmsg_("MMA2ER1", 7L); | |
5841 | } | |
5842 | ||
5843 | minu = (*iordru + 1) << 1; | |
5844 | minv = (*iordrv + 1) << 1; | |
5845 | ||
0d969553 Y |
5846 | /* ------------------- Calculate the increment of the max error --------------- */ |
5847 | /* ----- during the removal of the coeffs of indices from MINDGU to MAXDGU ---- */ | |
5848 | /* ---------------- by U and indices from MINDGV to MAXDGV by V --------------- */ | |
7fd59977 | 5849 | |
5850 | i__1 = *ndimen; | |
5851 | for (nd = 1; nd <= i__1; ++nd) { | |
5852 | bid1 = 0.; | |
5853 | i__2 = *maxdgv; | |
5854 | for (jj = *mindgv; jj <= i__2; ++jj) { | |
5855 | bid0 = 0.; | |
5856 | i__3 = *maxdgu; | |
5857 | for (ii = *mindgu; ii <= i__3; ++ii) { | |
5858 | bid0 += (d__1 = patjac[ii + (jj + nd * patjac_dim2) * | |
41194117 | 5859 | patjac_dim1], advapp_abs(d__1)) * xmaxju[ii - minu]; |
7fd59977 | 5860 | /* L300: */ |
5861 | } | |
5862 | bid1 = bid0 * xmaxjv[jj - minv] + bid1; | |
5863 | /* L200: */ | |
5864 | } | |
5865 | vecerr[nd] = bid1; | |
5866 | ||
5867 | /* L100: */ | |
5868 | } | |
5869 | ||
0d969553 | 5870 | /* ----------------------- Calculate the max error ----------------------*/ |
7fd59977 | 5871 | |
5872 | bid1 = AdvApp2Var_MathBase::mzsnorm_(ndimen, &vecerr[1]); | |
5873 | vaux[0] = *erreur; | |
5874 | vaux[1] = bid1; | |
5875 | nd = 2; | |
5876 | *erreur = AdvApp2Var_MathBase::mzsnorm_(&nd, vaux); | |
5877 | ||
5878 | /* ------------------------- The end ------------------------------------ | |
5879 | */ | |
5880 | ||
5881 | if (ldbg) { | |
5882 | AdvApp2Var_SysBase::mgsomsg_("MMA2ER1", 7L); | |
5883 | } | |
5884 | return 0; | |
5885 | } /* mma2er1_ */ | |
5886 | ||
5887 | //======================================================================= | |
5888 | //function : mma2er2_ | |
5889 | //purpose : | |
5890 | //======================================================================= | |
5891 | int mma2er2_(integer *ndjacu, | |
5892 | integer *ndjacv, | |
5893 | integer *ndimen, | |
5894 | integer *mindgu, | |
5895 | integer *maxdgu, | |
5896 | integer *mindgv, | |
5897 | integer *maxdgv, | |
5898 | integer *iordru, | |
5899 | integer *iordrv, | |
5900 | doublereal *xmaxju, | |
5901 | doublereal *xmaxjv, | |
5902 | doublereal *patjac, | |
5903 | doublereal *epmscut, | |
5904 | doublereal *vecerr, | |
5905 | doublereal *erreur, | |
5906 | integer *newdgu, | |
5907 | integer *newdgv) | |
5908 | ||
5909 | { | |
5910 | /* System generated locals */ | |
5911 | integer patjac_dim1, patjac_dim2, patjac_offset, i__1, i__2; | |
5912 | doublereal d__1; | |
41194117 | 5913 | |
7fd59977 | 5914 | /* Local variables */ |
1ef32e96 RL |
5915 | logical ldbg; |
5916 | doublereal vaux[2]; | |
5917 | integer i2rdu, i2rdv; | |
5918 | doublereal errnu, errnv; | |
5919 | integer ii, nd, jj, nu, nv; | |
5920 | doublereal bid0, bid1; | |
7fd59977 | 5921 | |
7fd59977 | 5922 | /* ********************************************************************** |
5923 | */ | |
5924 | ||
0d969553 | 5925 | /* FUNCTION : */ |
7fd59977 | 5926 | /* ---------- */ |
0d969553 Y |
5927 | /* Remove coefficients of PATJAC to obtain the minimum degree */ |
5928 | /* by U and V checking the imposed tolerance. */ | |
7fd59977 | 5929 | |
0d969553 | 5930 | /* KEYWORDS : */ |
7fd59977 | 5931 | /* ----------- */ |
5932 | /* TOUS,AB_SPECIFI:: CARREAU&,CALCUL,&ERREUR */ | |
5933 | ||
0d969553 | 5934 | /* INPUT ARGUMENTS : */ |
7fd59977 | 5935 | /* ------------------ */ |
0d969553 Y |
5936 | /* NDJACU: Degree by U of table PATJAC. */ |
5937 | /* NDJACV: Degree by V of table PATJAC. */ | |
5938 | /* NDIMEN: Dimension of the space. */ | |
5939 | /* MINDGU: Limit of index by U of coeff. of PATJAC to be PRESERVED (should be >=0). */ | |
5940 | /* MAXDGU: Upper limit of index by U of coeff. of PATJAC to be taken into account. */ | |
5941 | /* MINDGV: Limit of index by V of coeff. of PATJAC to be PRESERVED (should be >=0). */ | |
5942 | /* MAXDGV: Upper limit of index by V of coeff. of PATJAC to be taken into account. */ | |
5943 | /* IORDRU: Order of continuity by U provided by square PATJAC (from -1 to 2) */ | |
5944 | /* IORDRV: Order of continuity by U provided by square PATJAC (from -1 to 2) */ | |
5945 | /* XMAXJU: Maximum value of Jacobi polynoms of order IORDRU, */ | |
5946 | /* from degree 0 to MAXDGU - 2*(IORDU+1) */ | |
5947 | /* XMAXJV: Maximum value of Jacobi polynoms of order IORDRV, */ | |
5948 | /* from degree 0 to MAXDGV - 2*(IORDV+1) */ | |
5949 | /* PATJAC: Table of coeff. of square of approximation with */ | |
5950 | /* constraints of order IORDRU by U and IORDRV by V. */ | |
5951 | /* EPMSCUT: Tolerance of approximation. */ | |
5952 | /* VECERR: Auxiliary vector. */ | |
5953 | /* ERREUR: MAX Error commited ALREADY CALCULATED */ | |
5954 | ||
5955 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 5956 | /* ------------------- */ |
0d969553 Y |
5957 | /* ERREUR: MAX Error commited by preserving only coeff of PATJAC */ |
5958 | /* of indices from 0 to NEWDGU by U and from 0 to NEWDGV by V */ | |
5959 | /* PLUS the already calculated error. */ | |
5960 | /* NEWDGU: Min. Degree by U such as the square of approximation */ | |
5961 | /* could check the tolerance. There is always NEWDGU >= MINDGU >= 0. */ | |
5962 | /* NEWDGV: Min. Degree by V such as the square of approximation */ | |
5963 | /* could check the tolerance. There is always NEWDGV >= MINDGV >= 0. */ | |
5964 | ||
5965 | ||
5966 | /* COMMONS USED : */ | |
7fd59977 | 5967 | /* ---------------- */ |
5968 | ||
0d969553 Y |
5969 | /* REFERENCES CALLED : */ |
5970 | /* --------------------- */ | |
7fd59977 | 5971 | |
0d969553 | 5972 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 5973 | /* ----------------------------------- */ |
0d969553 Y |
5974 | /* Table PATJAC is the place of storage of coeff. Cij of the square of */ |
5975 | /* approximation of F(U,V). The indices i and j show the degree */ | |
5976 | /* by U and by V of base polynoms. These polynoms have the form: */ | |
7fd59977 | 5977 | |
0d969553 | 5978 | /* ((1 - U*U)**(IORDRU+1)).J(i-2*(IORDRU+1)(U), where */ |
7fd59977 | 5979 | |
0d969553 Y |
5980 | /* polynom J(i-2*(IORDU+1)(U) is the Jacobi polynom of order */ |
5981 | /* IORDRU+1 (the same by V by replacing U u V in the expression above). */ | |
7fd59977 | 5982 | |
0d969553 Y |
5983 | /* The contribution to the error of term Cij when it is */ |
5984 | /* removed from PATJAC is increased by: */ | |
7fd59977 | 5985 | |
0d969553 | 5986 | /* DABS(Cij)*XMAXJU(i-2*(IORDRU+1))*XMAXJV(J-2*(IORDRV+1)) where */ |
7fd59977 | 5987 | |
5988 | /* XMAXJU(i-2*(IORDRU+1) = ((1 - U*U)**(IORDRU+1)).J(i-2*(IORDRU+1)(U), | |
5989 | */ | |
5990 | /* XMAXJV(i-2*(IORDRV+1) = ((1 - V*V)**(IORDRV+1)).J(j-2*(IORDRV+1)(V). | |
5991 | */ | |
5992 | ||
7fd59977 | 5993 | /* > */ |
5994 | /* ********************************************************************** | |
5995 | */ | |
0d969553 | 5996 | /* Name of the routine */ |
7fd59977 | 5997 | |
5998 | ||
5999 | /* ----------------------------- Initialisations ------------------------ | |
6000 | */ | |
6001 | ||
6002 | /* Parameter adjustments */ | |
6003 | --vecerr; | |
6004 | patjac_dim1 = *ndjacu + 1; | |
6005 | patjac_dim2 = *ndjacv + 1; | |
6006 | patjac_offset = patjac_dim1 * patjac_dim2; | |
6007 | patjac -= patjac_offset; | |
6008 | ||
6009 | /* Function Body */ | |
6010 | ldbg = AdvApp2Var_SysBase::mnfndeb_() >= 3; | |
6011 | if (ldbg) { | |
6012 | AdvApp2Var_SysBase::mgenmsg_("MMA2ER2", 7L); | |
6013 | } | |
6014 | ||
6015 | i2rdu = (*iordru + 1) << 1; | |
6016 | i2rdv = (*iordrv + 1) << 1; | |
6017 | nu = *maxdgu; | |
6018 | nv = *maxdgv; | |
6019 | ||
6020 | /* ********************************************************************** | |
6021 | */ | |
0d969553 | 6022 | /* -------------------- Cutting of oefficients ------------------------ |
7fd59977 | 6023 | */ |
6024 | /* ********************************************************************** | |
6025 | */ | |
6026 | ||
6027 | L1001: | |
6028 | ||
0d969553 Y |
6029 | /* ------------------- Calculate the increment of max error --------------- */ |
6030 | /* ----- during the removal of coeff. of indices from MINDGU to MAXDGU ------ */ | |
6031 | /* ---------------- by U, the degree by V is fixed to NV ----------------- | |
7fd59977 | 6032 | */ |
6033 | ||
6034 | bid0 = 0.; | |
6035 | if (nv > *mindgv) { | |
6036 | bid0 = xmaxjv[nv - i2rdv]; | |
6037 | i__1 = *ndimen; | |
6038 | for (nd = 1; nd <= i__1; ++nd) { | |
6039 | bid1 = 0.; | |
6040 | i__2 = nu; | |
6041 | for (ii = i2rdu; ii <= i__2; ++ii) { | |
6042 | bid1 += (d__1 = patjac[ii + (nv + nd * patjac_dim2) * | |
41194117 | 6043 | patjac_dim1], advapp_abs(d__1)) * xmaxju[ii - i2rdu] * bid0; |
7fd59977 | 6044 | /* L200: */ |
6045 | } | |
6046 | vecerr[nd] = bid1; | |
6047 | /* L100: */ | |
6048 | } | |
6049 | } else { | |
6050 | vecerr[1] = *epmscut * 2; | |
6051 | } | |
6052 | errnv = AdvApp2Var_MathBase::mzsnorm_(ndimen, &vecerr[1]); | |
6053 | ||
0d969553 Y |
6054 | /* ------------------- Calculate the increment of max error --------------- */ |
6055 | /* ----- during the removal of coeff. of indices from MINDGV to MAXDGV ------ */ | |
6056 | /* ---------------- by V, the degree by U is fixed to NU ----------------- | |
7fd59977 | 6057 | */ |
6058 | ||
6059 | bid0 = 0.; | |
6060 | if (nu > *mindgu) { | |
6061 | bid0 = xmaxju[nu - i2rdu]; | |
6062 | i__1 = *ndimen; | |
6063 | for (nd = 1; nd <= i__1; ++nd) { | |
6064 | bid1 = 0.; | |
6065 | i__2 = nv; | |
6066 | for (jj = i2rdv; jj <= i__2; ++jj) { | |
6067 | bid1 += (d__1 = patjac[nu + (jj + nd * patjac_dim2) * | |
41194117 | 6068 | patjac_dim1], advapp_abs(d__1)) * xmaxjv[jj - i2rdv] * bid0; |
7fd59977 | 6069 | /* L400: */ |
6070 | } | |
6071 | vecerr[nd] = bid1; | |
6072 | /* L300: */ | |
6073 | } | |
6074 | } else { | |
6075 | vecerr[1] = *epmscut * 2; | |
6076 | } | |
6077 | errnu = AdvApp2Var_MathBase::mzsnorm_(ndimen, &vecerr[1]); | |
6078 | ||
0d969553 | 6079 | /* ----------------------- Calculate the max error ---------------------- |
7fd59977 | 6080 | */ |
6081 | ||
6082 | vaux[0] = *erreur; | |
6083 | vaux[1] = errnu; | |
6084 | nd = 2; | |
6085 | errnu = AdvApp2Var_MathBase::mzsnorm_(&nd, vaux); | |
6086 | vaux[1] = errnv; | |
6087 | errnv = AdvApp2Var_MathBase::mzsnorm_(&nd, vaux); | |
6088 | ||
6089 | if (errnu > errnv) { | |
6090 | if (errnv < *epmscut) { | |
6091 | *erreur = errnv; | |
6092 | --nv; | |
6093 | } else { | |
6094 | goto L2001; | |
6095 | } | |
6096 | } else { | |
6097 | if (errnu < *epmscut) { | |
6098 | *erreur = errnu; | |
6099 | --nu; | |
6100 | } else { | |
6101 | goto L2001; | |
6102 | } | |
6103 | } | |
6104 | ||
6105 | goto L1001; | |
6106 | ||
0d969553 | 6107 | /* -------------------------- Return the degrees ------------------- |
7fd59977 | 6108 | */ |
6109 | ||
6110 | L2001: | |
41194117 K |
6111 | *newdgu = advapp_max(nu,1); |
6112 | *newdgv = advapp_max(nv,1); | |
7fd59977 | 6113 | |
6114 | /* ----------------------------------- The end -------------------------- | |
6115 | */ | |
6116 | ||
6117 | if (ldbg) { | |
6118 | AdvApp2Var_SysBase::mgsomsg_("MMA2ER2", 7L); | |
6119 | } | |
6120 | return 0; | |
6121 | } /* mma2er2_ */ | |
6122 | ||
6123 | //======================================================================= | |
6124 | //function : mma2fnc_ | |
6125 | //purpose : | |
6126 | //======================================================================= | |
6127 | int AdvApp2Var_ApproxF2var::mma2fnc_(integer *ndimen, | |
6128 | integer *nbsesp, | |
6129 | integer *ndimse, | |
6130 | doublereal *uvfonc, | |
41194117 | 6131 | const AdvApp2Var_EvaluatorFunc2Var& foncnp, |
7fd59977 | 6132 | doublereal *tconst, |
6133 | integer *isofav, | |
6134 | integer *nbroot, | |
6135 | doublereal *rootlg, | |
6136 | integer *iordre, | |
6137 | integer *ideriv, | |
6138 | integer *ndgjac, | |
6139 | integer *nbcrmx, | |
6140 | integer *ncflim, | |
6141 | doublereal *epsapr, | |
6142 | integer *ncoeff, | |
6143 | doublereal *courbe, | |
6144 | integer *nbcrbe, | |
6145 | doublereal *somtab, | |
6146 | doublereal *diftab, | |
6147 | doublereal *contr1, | |
6148 | doublereal *contr2, | |
6149 | doublereal *tabdec, | |
6150 | doublereal *errmax, | |
6151 | doublereal *errmoy, | |
6152 | integer *iercod) | |
6153 | ||
6154 | { | |
1ef32e96 | 6155 | integer c__8 = 8; |
7fd59977 | 6156 | |
6157 | /* System generated locals */ | |
6158 | integer courbe_dim1, courbe_dim2, courbe_offset, somtab_dim1, somtab_dim2, | |
6159 | somtab_offset, diftab_dim1, diftab_dim2, diftab_offset, | |
6160 | contr1_dim1, contr1_dim2, contr1_offset, contr2_dim1, contr2_dim2, | |
6161 | contr2_offset, errmax_dim1, errmax_offset, errmoy_dim1, | |
6162 | errmoy_offset, i__1; | |
6163 | doublereal d__1; | |
6164 | ||
6165 | /* Local variables */ | |
1ef32e96 RL |
6166 | integer ideb; |
6167 | doublereal tmil; | |
6168 | integer ideb1, ibid1, ibid2, ncfja, ndgre, ilong, | |
7fd59977 | 6169 | ndwrk; |
1ef32e96 RL |
6170 | doublereal* wrkar = 0; |
6171 | integer nupil; | |
6172 | intptr_t iofwr; | |
6173 | doublereal uvpav[4] /* was [2][2] */; | |
6174 | integer nd, ii; | |
6175 | integer ibb; | |
a8195d65 | 6176 | integer ier = 0; |
1ef32e96 RL |
6177 | doublereal uv11[4] /* was [2][2] */; |
6178 | integer ncb1; | |
6179 | doublereal eps3; | |
6180 | integer isz1, isz2, isz3, isz4, isz5; | |
6181 | intptr_t ipt1, ipt2, ipt3, ipt4, ipt5,iptt, jptt; | |
7fd59977 | 6182 | |
6183 | /* ********************************************************************** | |
6184 | */ | |
6185 | ||
0d969553 | 6186 | /* FUNCTION : */ |
7fd59977 | 6187 | /* ---------- */ |
0d969553 Y |
6188 | /* Approximation of a limit of non polynomial function F(u,v) */ |
6189 | /* (in the space of dimension NDIMEN) by SEVERAL */ | |
6190 | /* polynomial curves, by the method of least squares. The parameter of the function is preserved. */ | |
7fd59977 | 6191 | |
0d969553 | 6192 | /* KEYWORDS : */ |
7fd59977 | 6193 | /* ----------- */ |
6194 | /* TOUS, AB_SPECIFI :: FONCTION&,EXTREMITE&, APPROXIMATION, &COURBE. */ | |
6195 | ||
0d969553 Y |
6196 | /* INPUT ARGUMENTS : */ |
6197 | /* ----------------- */ | |
6198 | /* NDIMEN: Total Dimension of the space (sum of dimensions */ | |
6199 | /* of sub-spaces) */ | |
6200 | /* NBSESP: Number of "independent" sub-spaces. */ | |
6201 | /* NDIMSE: Table of dimensions of sub-spaces. */ | |
6202 | /* UVFONC: Limits of the interval (a,b)x(c,d) of definition of the */ | |
6203 | /* function to be approached by U (UVFONC(*,1) contains (a,b)) */ | |
6204 | /* and by V (UVFONC(*,2) contains (c,d)). */ | |
6205 | /* FONCNP: External function of position on the non polynomial function to be approached. */ | |
6206 | /* TCONST: Value of isoparameter of F(u,v) to be discretized. */ | |
6207 | /* ISOFAV: Type of chosen iso, = 1, shose that discretization is with u */ | |
6208 | /* fixed; = 2, shows that v is fixed. */ | |
6209 | /* NBROOT: Nb of points of discretisation of the iso, extremities not included. */ | |
6210 | /* ROOTLG: Table of roots of the polynom of Legendre defined on */ | |
6211 | /* (-1,1), of degree NBROOT. */ | |
6212 | /* IORDRE: Order of constraint at the extremities of the limit */ | |
6213 | /* -1 = no constraints, */ | |
6214 | /* 0 = constraints of passage to limits (i.e. C0), */ | |
6215 | /* 1 = C0 + constraints of 1st derivatives (i.e. C1), */ | |
6216 | /* 2 = C1 + constraints of 2nd derivatives (i.e. C2). */ | |
6217 | /* IDERIV: Order of derivative of the limit. */ | |
6218 | /* NDGJAC: Degree of serial development to be used for calculation in */ | |
6219 | /* the Jacobi base. */ | |
6220 | /* NBCRMX: Max Nb of curves to be created. */ | |
6221 | /* NCFLIM: Max Nb of coeff of the polynomial curve */ | |
6222 | /* of approximation (should be above or equal to */ | |
6223 | /* 2*IORDRE+2 and below or equal to 50). */ | |
6224 | /* EPSAPR: Table of required errors of approximation */ | |
6225 | /* sub-space by sub-space. */ | |
6226 | ||
6227 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 6228 | /* ------------------- */ |
0d969553 Y |
6229 | /* NCOEFF: Number of significative coeff of calculated curves. */ |
6230 | /* COURBE: Table of coeff. of calculated polynomial curves. */ | |
6231 | /* Should be dimensioned in (NCFLIM,NDIMEN,NBCRMX). */ | |
6232 | /* These curves are ALWAYS parametrized in (-1,1). */ | |
6233 | /* NBCRBE: Nb of calculated curves. */ | |
6234 | /* SOMTAB: For F defined on (-1,1) (otherwise rescale the */ | |
6235 | /* parameters), this is the table of sums F(u,vj) + F(u,-vj) | |
6236 | */ | |
6237 | /* if ISOFAV = 1 (and IDERIV=0, otherwise the derivatives */ | |
6238 | /* by u of order IDERIV are taken) or sumes F(ui,v) + F(-ui,v) if */ | |
6239 | /* ISOFAV = 2 (and IDERIV=0, otherwise the derivatives by */ | |
6240 | /* v of order IDERIV are taken). */ | |
6241 | /* DIFTAB: For F defined on (-1,1) (otherwise rescale the */ | |
6242 | /* parameters), this is the table of sums F(u,vj) - F(u,-vj) | |
6243 | */ | |
6244 | /* if ISOFAV = 1 (and IDERIV=0, otherwise the derivatives */ | |
6245 | /* by u of order IDERIV are taken) or sumes F(ui,v) + F(-ui,v) if */ | |
6246 | /* ISOFAV = 2 (and IDERIV=0, otherwise the derivatives by */ | |
6247 | /* v of order IDERIV are taken). */ | |
6248 | /* CONTR1: Contains the coordinates of the left extremity of the iso */ | |
6249 | /* and of its derivatives till order IORDRE */ | |
6250 | /* CONTR2: Contains the coordinates of the right extremity of the iso */ | |
6251 | /* and of its derivatives till order IORDRE */ | |
6252 | /* TABDEC: Table of NBCRBE+1 parameters of cut of UVFONC(1:2,1) | |
6253 | */ | |
6254 | /* if ISOFAV=2, or of UVFONC(1:2,2) if ISOFAV=1. */ | |
6255 | /* ERRMAX: Table of MAX errors (sub-space by sub-space) */ | |
6256 | /* committed in the approximation of FONCNP by NBCRBE curves. */ | |
6257 | /* ERRMOY: Table of AVERAGE errors (sub-space by sub-space) */ | |
258ff83b | 6258 | /* committed in the approximation of FONCNP by NBCRBE curves. */ |
0d969553 Y |
6259 | /* IERCOD: Error code: */ |
6260 | /* -1 = ERRMAX > EPSAPR for at least one sub-space. */ | |
6261 | /* (the resulting curves of at least mathematic degree NCFLIM-1 */ | |
6262 | /* are calculated). */ | |
6263 | /* 0 = Everything is ok. */ | |
6264 | /* 1 = Pb of incoherence of inputs. */ | |
6265 | /* 10 = Pb of calculation of the interpolation of constraints. */ | |
6266 | /* 13 = Pb in the dynamic allocation. */ | |
6267 | /* 33 = Pb in the data recuperation from block data */ | |
6268 | /* of coeff. of integration by GAUSS method. */ | |
6269 | /* >100 Pb in the evaluation of FONCNP, the returned error code */ | |
6270 | /* is equal to the error code of FONCNP + 100. */ | |
6271 | ||
6272 | /* COMMONS USED : */ | |
7fd59977 | 6273 | /* ---------------- */ |
6274 | ||
0d969553 | 6275 | /* REFERENCES CALLED : */ |
7fd59977 | 6276 | /* ----------------------- */ |
6277 | ||
0d969553 | 6278 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 6279 | /* ----------------------------------- */ |
0d969553 Y |
6280 | /* --> The approximation part is done in the space of dimension */ |
6281 | /* NDIMEN (the sum of dimensions of sub-spaces). For example : */ | |
6282 | /* If NBSESP=2 and NDIMSE(1)=3, NDIMSE(2)=2, there is smoothing with */ | |
6283 | /* NDIMEN=5. The result (in COURBE(NDIMEN,NCOEFF,i) ), will be */ | |
6284 | /* composed of the result of smoothing of 3D function in */ | |
6285 | /* COURBE(1:3,1:NCOEFF,i) and of smoothing of 2D function in */ | |
7fd59977 | 6286 | /* COURBE(4:5,1:NCOEFF,i). */ |
6287 | ||
0d969553 Y |
6288 | /* --> Routine FONCNP should be declared EXTERNAL in the program */ |
6289 | /* calling MMA2FNC. */ | |
7fd59977 | 6290 | |
0d969553 Y |
6291 | /* --> Function FONCNP, declared externally, should be declared */ |
6292 | /* IMPERATIVELY in form : */ | |
7fd59977 | 6293 | /* SUBROUTINE FONCNP(NDIMEN,UINTFN,VINTFN,IIUOUV,TCONST,NBPTAB */ |
6294 | /* ,TTABLE,IDERIU,IDERIV,IERCOD) */ | |
0d969553 Y |
6295 | /* where the input arguments are : */ |
6296 | /* - NDIMEN is integer defined as the sum of dimensions of */ | |
6297 | /* sub-spaces (i.e. total dimension of the problem). */ | |
6298 | /* - UINTFN(2) is a table of 2 reals containing the interval */ | |
6299 | /* by u where the function to be approximated is defined */ | |
6300 | /* (so it is equal to UIFONC). */ | |
6301 | /* - VINTFN(2) is a table of 2 reals containing the interval */ | |
6302 | /* by v where the function to be approximated is defined */ | |
6303 | /* (so it is equal to VIFONC). */ | |
6304 | /* - IIUOUV, shows that the points to be calculated have a constant U */ | |
6305 | /* (IIUOUV=1) or a constant V (IIUOUV=2). */ | |
6306 | /* - TCONST, real, value of the fixed discretisation parameter. Takes values */ | |
6307 | /* in (UINTFN(1),UINTFN(2)) if IIUOUV=1, */ | |
6308 | /* or in (VINTFN(1),VINTFN(2)) if IIUOUV=2. */ | |
6309 | /* - NBPTAB, the nb of point of discretisation following the free variable */ | |
6310 | /* : V if IIUOUV=1 or U if IIUOUV = 2. */ | |
6311 | /* - TTABLE, Table of NBPTAB parametres of discretisation. . */ | |
6312 | /* - IDERIU, integer, takes values between 0 (position) */ | |
6313 | /* and IORDREU (partial derivative of the function by u */ | |
6314 | /* of order IORDREU if IORDREU > 0). */ | |
6315 | /* - IDERIV, integer, takes values between 0 (position) */ | |
6316 | /* and IORDREV (partial derivative of the function by v */ | |
6317 | /* of order IORDREV if IORDREV > 0). */ | |
6318 | /* and the output arguments are : */ | |
6319 | /* - FPNTAB(NDIMEN,NBPTAB) contains, at output, the table of */ | |
6320 | /* NBPTAB points calculated in FONCNP. */ | |
6321 | /* - IERCOD is, at output the error code of FONCNP. This code */ | |
6322 | /* (integer) should be strictly positive if there is a problem. */ | |
6323 | ||
6324 | /* The input arguments SHOULD NOT BE modified under FONCNP. | |
6325 | */ | |
6326 | ||
6327 | /* --> If IERCOD=-1, the required precision can't be reached (ERRMAX */ | |
6328 | /* is above EPSAPR on at least one sub-space), but | |
6329 | */ | |
6330 | /* one gives the best possible result for NCFLIM and EPSAPR */ | |
6331 | /* chosen by the user. In this case (and for IERCOD=0), there is a solution. */ | |
7fd59977 | 6332 | |
7fd59977 | 6333 | /* > */ |
6334 | /* ********************************************************************** | |
6335 | */ | |
0d969553 | 6336 | /* Name of the routine */ |
7fd59977 | 6337 | |
6338 | /* Parameter adjustments */ | |
6339 | --epsapr; | |
6340 | --ndimse; | |
6341 | uvfonc -= 3; | |
6342 | --rootlg; | |
6343 | errmoy_dim1 = *nbsesp; | |
6344 | errmoy_offset = errmoy_dim1 + 1; | |
6345 | errmoy -= errmoy_offset; | |
6346 | errmax_dim1 = *nbsesp; | |
6347 | errmax_offset = errmax_dim1 + 1; | |
6348 | errmax -= errmax_offset; | |
6349 | contr2_dim1 = *ndimen; | |
6350 | contr2_dim2 = *iordre + 2; | |
6351 | contr2_offset = contr2_dim1 * (contr2_dim2 + 1) + 1; | |
6352 | contr2 -= contr2_offset; | |
6353 | contr1_dim1 = *ndimen; | |
6354 | contr1_dim2 = *iordre + 2; | |
6355 | contr1_offset = contr1_dim1 * (contr1_dim2 + 1) + 1; | |
6356 | contr1 -= contr1_offset; | |
6357 | diftab_dim1 = *nbroot / 2 + 1; | |
6358 | diftab_dim2 = *ndimen; | |
6359 | diftab_offset = diftab_dim1 * (diftab_dim2 + 1); | |
6360 | diftab -= diftab_offset; | |
6361 | somtab_dim1 = *nbroot / 2 + 1; | |
6362 | somtab_dim2 = *ndimen; | |
6363 | somtab_offset = somtab_dim1 * (somtab_dim2 + 1); | |
6364 | somtab -= somtab_offset; | |
6365 | --ncoeff; | |
6366 | courbe_dim1 = *ncflim; | |
6367 | courbe_dim2 = *ndimen; | |
6368 | courbe_offset = courbe_dim1 * (courbe_dim2 + 1) + 1; | |
6369 | courbe -= courbe_offset; | |
1ef32e96 | 6370 | AdvApp2Var_SysBase anAdvApp2Var_SysBase; |
7fd59977 | 6371 | |
6372 | /* Function Body */ | |
6373 | ibb = AdvApp2Var_SysBase::mnfndeb_(); | |
6374 | if (ibb >= 1) { | |
6375 | AdvApp2Var_SysBase::mgenmsg_("MMA2FNC", 7L); | |
6376 | } | |
6377 | *iercod = 0; | |
6378 | iofwr = 0; | |
6379 | ||
0d969553 | 6380 | /* ---------------- Set to zero the coefficients of CURVE -------------- |
7fd59977 | 6381 | */ |
6382 | ||
6383 | ilong = *ndimen * *ncflim * *nbcrmx; | |
fadcea2c | 6384 | AdvApp2Var_SysBase::mvriraz_(&ilong, &courbe[courbe_offset]); |
7fd59977 | 6385 | |
6386 | /* ********************************************************************** | |
6387 | */ | |
0d969553 | 6388 | /* -------------------------- Checking of entries ------------------ |
7fd59977 | 6389 | */ |
6390 | /* ********************************************************************** | |
6391 | */ | |
6392 | ||
6393 | AdvApp2Var_MathBase::mmveps3_(&eps3); | |
41194117 | 6394 | if ((d__1 = uvfonc[4] - uvfonc[3], advapp_abs(d__1)) < eps3) { |
7fd59977 | 6395 | goto L9100; |
6396 | } | |
41194117 | 6397 | if ((d__1 = uvfonc[6] - uvfonc[5], advapp_abs(d__1)) < eps3) { |
7fd59977 | 6398 | goto L9100; |
6399 | } | |
6400 | ||
6401 | uv11[0] = -1.; | |
6402 | uv11[1] = 1.; | |
6403 | uv11[2] = -1.; | |
6404 | uv11[3] = 1.; | |
6405 | ||
0d969553 Y |
6406 | /* ********************************************************************** */ |
6407 | /* ------------- Preparation of parameters of discretisation ----------- */ | |
7fd59977 | 6408 | /* ********************************************************************** |
6409 | */ | |
6410 | ||
0d969553 Y |
6411 | /* -- Allocation of a table of parameters and points of discretisation -- */ |
6412 | /* --> For the parameters of discretisation. */ | |
7fd59977 | 6413 | isz1 = *nbroot + 2; |
0d969553 | 6414 | /* --> For the points of discretisation in MMA1FDI and MMA1CDI and |
7fd59977 | 6415 | */ |
0d969553 | 6416 | /* the auxiliary curve for MMAPCMP */ |
7fd59977 | 6417 | ibid1 = *ndimen * (*nbroot + 2); |
6418 | ibid2 = ((*iordre + 1) << 1) * *nbroot; | |
41194117 | 6419 | isz2 = advapp_max(ibid1,ibid2); |
7fd59977 | 6420 | ibid1 = (((*ncflim - 1) / 2 + 1) << 1) * *ndimen; |
41194117 | 6421 | isz2 = advapp_max(ibid1,isz2); |
0d969553 | 6422 | /* --> To return the polynoms of hermit. */ |
7fd59977 | 6423 | isz3 = ((*iordre + 1) << 2) * (*iordre + 1); |
0d969553 | 6424 | /* --> For the Gauss coeff. of integration. */ |
7fd59977 | 6425 | isz4 = (*nbroot / 2 + 1) * (*ndgjac + 1 - ((*iordre + 1) << 1)); |
0d969553 | 6426 | /* --> For the coeff of the curve in the base of Jacobi */ |
7fd59977 | 6427 | isz5 = (*ndgjac + 1) * *ndimen; |
6428 | ||
6429 | ndwrk = isz1 + isz2 + isz3 + isz4 + isz5; | |
1ef32e96 | 6430 | anAdvApp2Var_SysBase.mcrrqst_(&c__8, &ndwrk, wrkar, &iofwr, &ier); |
7fd59977 | 6431 | if (ier > 0) { |
6432 | goto L9013; } | |
0d969553 | 6433 | /* --> For the parameters of discretisation (NBROOT+2 extremities). */ |
7fd59977 | 6434 | ipt1 = iofwr; |
0d969553 Y |
6435 | /* --> For the points of discretisation FPNTAB(NDIMEN,NBROOT+2), */ |
6436 | /* FPNTAB(NBROOT,2*(IORDRE+1)) and for WRKAR of MMAPCMP. */ | |
7fd59977 | 6437 | ipt2 = ipt1 + isz1; |
0d969553 | 6438 | /* --> For the polynoms of Hermit */ |
7fd59977 | 6439 | ipt3 = ipt2 + isz2; |
0d969553 | 6440 | /* --> For the Gauss coeff of integration. */ |
7fd59977 | 6441 | ipt4 = ipt3 + isz3; |
0d969553 | 6442 | /* --> For the curve in Jacobi. */ |
7fd59977 | 6443 | ipt5 = ipt4 + isz4; |
6444 | ||
0d969553 | 6445 | /* ------------------ Initialisation of management of cuts --------- |
7fd59977 | 6446 | */ |
6447 | ||
6448 | if (*isofav == 1) { | |
6449 | uvpav[0] = uvfonc[3]; | |
6450 | uvpav[1] = uvfonc[4]; | |
6451 | tabdec[0] = uvfonc[5]; | |
6452 | tabdec[1] = uvfonc[6]; | |
6453 | } else if (*isofav == 2) { | |
6454 | tabdec[0] = uvfonc[3]; | |
6455 | tabdec[1] = uvfonc[4]; | |
6456 | uvpav[2] = uvfonc[5]; | |
6457 | uvpav[3] = uvfonc[6]; | |
6458 | } else { | |
6459 | goto L9100; | |
6460 | } | |
6461 | ||
6462 | nupil = 1; | |
6463 | *nbcrbe = 0; | |
6464 | ||
6465 | /* ********************************************************************** | |
6466 | */ | |
0d969553 | 6467 | /* APPROXIMATION WITH CUTS */ |
7fd59977 | 6468 | /* ********************************************************************** |
6469 | */ | |
6470 | ||
6471 | L1000: | |
0d969553 | 6472 | /* --> When the top is reached, this is the end ! */ |
7fd59977 | 6473 | if (nupil - *nbcrbe == 0) { |
6474 | goto L9900; | |
6475 | } | |
6476 | ncb1 = *nbcrbe + 1; | |
6477 | if (*isofav == 1) { | |
6478 | uvpav[2] = tabdec[*nbcrbe]; | |
6479 | uvpav[3] = tabdec[*nbcrbe + 1]; | |
6480 | } else if (*isofav == 2) { | |
6481 | uvpav[0] = tabdec[*nbcrbe]; | |
6482 | uvpav[1] = tabdec[*nbcrbe + 1]; | |
6483 | } else { | |
6484 | goto L9100; | |
6485 | } | |
6486 | ||
0d969553 | 6487 | /* -------------------- Normalization of parameters -------------------- */ |
7fd59977 | 6488 | |
6489 | mma1nop_(nbroot, &rootlg[1], uvpav, isofav, &wrkar[ipt1], &ier); | |
6490 | if (ier > 0) { | |
6491 | goto L9100; | |
6492 | } | |
6493 | ||
0d969553 | 6494 | /* -------------------- Discretisation of FONCNP ------------------------ */ |
7fd59977 | 6495 | |
6496 | mma1fdi_(ndimen, uvpav, foncnp, isofav, tconst, nbroot, &wrkar[ipt1], | |
6497 | iordre, ideriv, &wrkar[ipt2], &somtab[(ncb1 * somtab_dim2 + 1) * | |
6498 | somtab_dim1], &diftab[(ncb1 * diftab_dim2 + 1) * diftab_dim1], & | |
6499 | contr1[(ncb1 * contr1_dim2 + 1) * contr1_dim1 + 1], &contr2[(ncb1 | |
6500 | * contr2_dim2 + 1) * contr2_dim1 + 1], iercod); | |
6501 | if (*iercod > 0) { | |
6502 | goto L9900; | |
6503 | } | |
6504 | ||
0d969553 | 6505 | /* -----------Cut the discretisation of constraints ------------*/ |
7fd59977 | 6506 | |
6507 | if (*iordre >= 0) { | |
6508 | mma1cdi_(ndimen, nbroot, &rootlg[1], iordre, &contr1[(ncb1 * | |
6509 | contr1_dim2 + 1) * contr1_dim1 + 1], &contr2[(ncb1 * | |
6510 | contr2_dim2 + 1) * contr2_dim1 + 1], &somtab[(ncb1 * | |
6511 | somtab_dim2 + 1) * somtab_dim1], &diftab[(ncb1 * diftab_dim2 | |
6512 | + 1) * diftab_dim1], &wrkar[ipt2], &wrkar[ipt3], &ier); | |
6513 | if (ier > 0) { | |
6514 | goto L9100; | |
6515 | } | |
6516 | } | |
6517 | ||
6518 | /* ********************************************************************** | |
6519 | */ | |
0d969553 | 6520 | /* -------------------- Calculate the curve of approximation ------------- |
7fd59977 | 6521 | */ |
6522 | /* ********************************************************************** | |
6523 | */ | |
6524 | ||
6525 | mma1jak_(ndimen, nbroot, iordre, ndgjac, &somtab[(ncb1 * somtab_dim2 + 1) | |
6526 | * somtab_dim1], &diftab[(ncb1 * diftab_dim2 + 1) * diftab_dim1], & | |
6527 | wrkar[ipt4], &wrkar[ipt5], &ier); | |
6528 | if (ier > 0) { | |
6529 | goto L9100; | |
6530 | } | |
6531 | ||
6532 | /* ********************************************************************** | |
6533 | */ | |
0d969553 | 6534 | /* ---------------- Add polynom of interpolation ------------------- |
7fd59977 | 6535 | */ |
6536 | /* ********************************************************************** | |
6537 | */ | |
6538 | ||
6539 | if (*iordre >= 0) { | |
6540 | mma1cnt_(ndimen, iordre, &contr1[(ncb1 * contr1_dim2 + 1) * | |
6541 | contr1_dim1 + 1], &contr2[(ncb1 * contr2_dim2 + 1) * | |
6542 | contr2_dim1 + 1], &wrkar[ipt3], ndgjac, &wrkar[ipt5]); | |
6543 | } | |
6544 | ||
6545 | /* ********************************************************************** | |
6546 | */ | |
0d969553 | 6547 | /* --------------- Calculate Max and Average error ---------------------- |
7fd59977 | 6548 | */ |
6549 | /* ********************************************************************** | |
6550 | */ | |
6551 | ||
6552 | mma1fer_(ndimen, nbsesp, &ndimse[1], iordre, ndgjac, &wrkar[ipt5], ncflim, | |
6553 | &epsapr[1], &wrkar[ipt2], &errmax[ncb1 * errmax_dim1 + 1], & | |
6554 | errmoy[ncb1 * errmoy_dim1 + 1], &ncoeff[ncb1], &ier); | |
6555 | if (ier > 0) { | |
6556 | goto L9100; | |
6557 | } | |
6558 | ||
6559 | if (ier == 0 || (ier == -1 && nupil == *nbcrmx)) { | |
6560 | ||
6561 | /* ****************************************************************** | |
6562 | **** */ | |
6563 | /* ----------------------- Compression du resultat ------------------ | |
6564 | ---- */ | |
6565 | /* ****************************************************************** | |
6566 | **** */ | |
6567 | ||
6568 | if (ier == -1) { | |
6569 | *iercod = -1; | |
6570 | } | |
6571 | ncfja = *ndgjac + 1; | |
0d969553 | 6572 | /* -> Compression of result in WRKAR(IPT2) */ |
7fd59977 | 6573 | /*pkv f*/ |
6574 | /* | |
6575 | AdvApp2Var_MathBase::mmapcmp_(ndimen, | |
6576 | &ncfja, &ncoeff[ncb1], &wrkar[ipt5], &wrkar[ipt2]); | |
6577 | */ | |
6578 | AdvApp2Var_MathBase::mmapcmp_((integer*)ndimen, | |
6579 | &ncfja, | |
6580 | &ncoeff[ncb1], | |
6581 | &wrkar[ipt5], | |
6582 | &wrkar[ipt2]); | |
6583 | /*pkv t*/ | |
6584 | ilong = *ndimen * *ncflim; | |
fadcea2c | 6585 | AdvApp2Var_SysBase::mvriraz_(&ilong, &wrkar[ipt5]); |
0d969553 | 6586 | /* -> Passage to canonic base (-1,1) (result in WRKAR(IPT5)). |
7fd59977 | 6587 | */ |
6588 | ndgre = ncoeff[ncb1] - 1; | |
6589 | i__1 = *ndimen; | |
6590 | for (nd = 1; nd <= i__1; ++nd) { | |
6591 | iptt = ipt2 + ((nd - 1) << 1) * (ndgre / 2 + 1); | |
6592 | jptt = ipt5 + (nd - 1) * ncoeff[ncb1]; | |
6593 | AdvApp2Var_MathBase::mmjacan_(iordre, &ndgre, &wrkar[iptt], &wrkar[jptt]); | |
6594 | /* L400: */ | |
6595 | } | |
6596 | ||
0d969553 | 6597 | /* -> Store the calculated curve */ |
7fd59977 | 6598 | ibid1 = 1; |
6599 | AdvApp2Var_MathBase::mmfmca8_(&ncoeff[ncb1], ndimen, &ibid1, ncflim, ndimen, &ibid1, & | |
6600 | wrkar[ipt5], &courbe[(ncb1 * courbe_dim2 + 1) * courbe_dim1 + | |
6601 | 1]); | |
6602 | ||
0d969553 Y |
6603 | /* -> Before normalization of constraints on (-1,1), recalculate */ |
6604 | /* the true constraints. */ | |
7fd59977 | 6605 | i__1 = *iordre; |
6606 | for (ii = 0; ii <= i__1; ++ii) { | |
6607 | mma1noc_(uv11, ndimen, &ii, &contr1[(ii + 1 + ncb1 * contr1_dim2) | |
6608 | * contr1_dim1 + 1], uvpav, isofav, ideriv, &contr1[(ii + | |
6609 | 1 + ncb1 * contr1_dim2) * contr1_dim1 + 1]); | |
6610 | mma1noc_(uv11, ndimen, &ii, &contr2[(ii + 1 + ncb1 * contr2_dim2) | |
6611 | * contr2_dim1 + 1], uvpav, isofav, ideriv, &contr2[(ii + | |
6612 | 1 + ncb1 * contr2_dim2) * contr2_dim1 + 1]); | |
6613 | /* L200: */ | |
6614 | } | |
6615 | ii = 0; | |
6616 | ibid1 = (*nbroot / 2 + 1) * *ndimen; | |
6617 | mma1noc_(uv11, &ibid1, &ii, &somtab[(ncb1 * somtab_dim2 + 1) * | |
6618 | somtab_dim1], uvpav, isofav, ideriv, &somtab[(ncb1 * | |
6619 | somtab_dim2 + 1) * somtab_dim1]); | |
6620 | mma1noc_(uv11, &ibid1, &ii, &diftab[(ncb1 * diftab_dim2 + 1) * | |
6621 | diftab_dim1], uvpav, isofav, ideriv, &diftab[(ncb1 * | |
6622 | diftab_dim2 + 1) * diftab_dim1]); | |
6623 | ii = 0; | |
6624 | i__1 = *ndimen; | |
6625 | for (nd = 1; nd <= i__1; ++nd) { | |
6626 | mma1noc_(uv11, &ncoeff[ncb1], &ii, &courbe[(nd + ncb1 * | |
6627 | courbe_dim2) * courbe_dim1 + 1], uvpav, isofav, ideriv, & | |
6628 | courbe[(nd + ncb1 * courbe_dim2) * courbe_dim1 + 1]); | |
6629 | /* L210: */ | |
6630 | } | |
6631 | ||
0d969553 | 6632 | /* -> Update the nb of already created curves */ |
7fd59977 | 6633 | ++(*nbcrbe); |
6634 | ||
0d969553 | 6635 | /* -> ...otherwise try to cut the current interval in 2... */ |
7fd59977 | 6636 | } else { |
6637 | tmil = (tabdec[*nbcrbe + 1] + tabdec[*nbcrbe]) / 2.; | |
6638 | ideb = *nbcrbe + 1; | |
6639 | ideb1 = ideb + 1; | |
6640 | ilong = (nupil - *nbcrbe) << 3; | |
fadcea2c | 6641 | AdvApp2Var_SysBase::mcrfill_(&ilong, &tabdec[ideb],&tabdec[ideb1]); |
7fd59977 | 6642 | tabdec[ideb] = tmil; |
6643 | ++nupil; | |
6644 | } | |
6645 | ||
0d969553 | 6646 | /* ---------- Make approximation of the rest ----------- |
7fd59977 | 6647 | */ |
6648 | ||
6649 | goto L1000; | |
6650 | ||
0d969553 | 6651 | /* --------------------- Return code of error ----------------- |
7fd59977 | 6652 | */ |
0d969553 | 6653 | /* --> Pb with dynamic allocation */ |
7fd59977 | 6654 | L9013: |
6655 | *iercod = 13; | |
6656 | goto L9900; | |
0d969553 | 6657 | /* --> Inputs incoherent. */ |
7fd59977 | 6658 | L9100: |
6659 | *iercod = 1; | |
6660 | goto L9900; | |
6661 | ||
0d969553 | 6662 | /* -------------------------- Dynamic desallocation ------------------- |
7fd59977 | 6663 | */ |
6664 | ||
6665 | L9900: | |
6666 | if (iofwr != 0) { | |
1ef32e96 | 6667 | anAdvApp2Var_SysBase.mcrdelt_(&c__8, &ndwrk, wrkar, &iofwr, &ier); |
7fd59977 | 6668 | } |
6669 | if (ier > 0) { | |
6670 | *iercod = 13; | |
6671 | } | |
6672 | goto L9999; | |
6673 | ||
6674 | /* ------------------------------ The end ------------------------------- | |
6675 | */ | |
6676 | ||
6677 | L9999: | |
6678 | if (*iercod != 0) { | |
6679 | AdvApp2Var_SysBase::maermsg_("MMA2FNC", iercod, 7L); | |
6680 | } | |
6681 | if (ibb >= 2) { | |
6682 | AdvApp2Var_SysBase::mgsomsg_("MMA2FNC", 7L); | |
6683 | } | |
6684 | return 0; | |
6685 | } /* mma2fnc_ */ | |
6686 | ||
6687 | //======================================================================= | |
6688 | //function : mma2fx6_ | |
6689 | //purpose : | |
6690 | //======================================================================= | |
6691 | int AdvApp2Var_ApproxF2var::mma2fx6_(integer *ncfmxu, | |
6692 | integer *ncfmxv, | |
6693 | integer *ndimen, | |
6694 | integer *nbsesp, | |
6695 | integer *ndimse, | |
6696 | integer *nbupat, | |
6697 | integer *nbvpat, | |
6698 | integer *iordru, | |
6699 | integer *iordrv, | |
6700 | doublereal *epsapr, | |
6701 | doublereal *epsfro, | |
6702 | doublereal *patcan, | |
6703 | doublereal *errmax, | |
6704 | integer *ncoefu, | |
6705 | integer *ncoefv) | |
6706 | ||
6707 | { | |
6708 | /* System generated locals */ | |
6709 | integer epsfro_dim1, epsfro_offset, patcan_dim1, patcan_dim2, patcan_dim3, | |
6710 | patcan_dim4, patcan_offset, errmax_dim1, errmax_dim2, | |
6711 | errmax_offset, ncoefu_dim1, ncoefu_offset, ncoefv_dim1, | |
6712 | ncoefv_offset, i__1, i__2, i__3, i__4, i__5; | |
6713 | doublereal d__1, d__2; | |
41194117 | 6714 | |
7fd59977 | 6715 | /* Local variables */ |
1ef32e96 RL |
6716 | integer idim, ncfu, ncfv, id, ii, nd, jj, ku, kv, ns, ibb; |
6717 | doublereal bid; | |
6718 | doublereal tol; | |
41194117 | 6719 | |
7fd59977 | 6720 | /* ********************************************************************** |
6721 | */ | |
6722 | ||
0d969553 | 6723 | /* FUNCTION : */ |
7fd59977 | 6724 | /* ---------- */ |
0d969553 | 6725 | /* Reduction of degree when the squares are the squares of constraints. */ |
7fd59977 | 6726 | |
0d969553 | 6727 | /* KEYWORDS : */ |
7fd59977 | 6728 | /* ----------- */ |
6729 | /* TOUS,AB_SPECIFI::CARREAU&,REDUCTION,&CARREAU */ | |
6730 | ||
0d969553 | 6731 | /* INPUT ARGUMENTS : */ |
7fd59977 | 6732 | /* ------------------ */ |
0d969553 Y |
6733 | /* NCFMXU: Max Nb of coeff by u of solution P(u,v) (table */ |
6734 | /* PATCAN). This argument serves only to declare the size of this table. */ | |
6735 | /* NCFMXV: Max Nb of coeff by v of solution P(u,v) (table */ | |
6736 | /* PATCAN). This argument serves only to declare the size of this table. */ | |
6737 | /* NDIMEN: Total dimension of the space where the processed function */ | |
6738 | /* takes its values.(sum of dimensions of sub-spaces) */ | |
6739 | /* NBSESP: Nb of independent sub-spaces where the errors are measured. */ | |
6740 | /* NDIMSE: Table of dimensions of NBSESP sub-spaces. */ | |
6741 | /* NBUPAT: Nb of square solution by u. */ | |
6742 | /* NBVPAT: Nb of square solution by v. */ | |
6743 | /* IORDRU: Order of constraint imposed at the extremities of iso-V */ | |
6744 | /* = 0, the extremities of iso-V are calculated */ | |
6745 | /* = 1, additionally the 1st derivative in the direction of iso-V is calculated */ | |
6746 | /* = 2, additionally the 2nd derivative in the direction of iso-V is calculated */ | |
7fd59977 | 6747 | /* IORDRV: Ordre de contrainte impose aux extremites de l'iso-U */ |
6748 | /* = 0, on calcule les extremites de l'iso-U. */ | |
0d969553 Y |
6749 | /* = 1, additionally the 1st derivative in the direction of iso-U is calculated */ |
6750 | /* = 2, additionally the 2nd derivative in the direction of iso-U is calculated */ | |
6751 | /* EPSAPR: Table of imposed precisions, sub-space by sub-space. */ | |
6752 | /* EPSFRO: Table of imposed precisions, sub-space by sub-space on the limits of squares. */ | |
6753 | /* PATCAN: Table of coeff. in the canonic base of squares P(u,v) calculated for (u,v) in (-1,1). */ | |
6754 | /* ERRMAX: Table of MAX errors (sub-space by sub-space) */ | |
6755 | /* committed in the approximation of F(u,v) by P(u,v). */ | |
6756 | /* NCOEFU: Table of Nb of significative coeffs. by u of calculated squares. */ | |
6757 | /* NCOEFV: Table of Nb of significative coeffs. by v of calculated squares. */ | |
6758 | ||
6759 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 6760 | /* ------------------- */ |
0d969553 Y |
6761 | /* NCOEFU: Table of Nb of significative coeffs. by u of calculated squares. */ |
6762 | /* NCOEFV: Table of Nb of significative coeffs. by v of calculated squares. */ | |
7fd59977 | 6763 | |
0d969553 | 6764 | /* COMMONS USED : */ |
7fd59977 | 6765 | /* ---------------- */ |
6766 | ||
0d969553 Y |
6767 | /* REFERENCES CALLED : */ |
6768 | /* --------------------- */ | |
7fd59977 | 6769 | |
0d969553 Y |
6770 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
6771 | /* ------------------------------- */ | |
7fd59977 | 6772 | /* > */ |
6773 | /* ********************************************************************** | |
6774 | */ | |
6775 | ||
0d969553 | 6776 | /* Name of the routine */ |
7fd59977 | 6777 | |
6778 | ||
6779 | /* Parameter adjustments */ | |
6780 | epsfro_dim1 = *nbsesp; | |
6781 | epsfro_offset = epsfro_dim1 * 5 + 1; | |
6782 | epsfro -= epsfro_offset; | |
6783 | --epsapr; | |
6784 | --ndimse; | |
6785 | ncoefv_dim1 = *nbupat; | |
6786 | ncoefv_offset = ncoefv_dim1 + 1; | |
6787 | ncoefv -= ncoefv_offset; | |
6788 | ncoefu_dim1 = *nbupat; | |
6789 | ncoefu_offset = ncoefu_dim1 + 1; | |
6790 | ncoefu -= ncoefu_offset; | |
6791 | errmax_dim1 = *nbsesp; | |
6792 | errmax_dim2 = *nbupat; | |
6793 | errmax_offset = errmax_dim1 * (errmax_dim2 + 1) + 1; | |
6794 | errmax -= errmax_offset; | |
6795 | patcan_dim1 = *ncfmxu; | |
6796 | patcan_dim2 = *ncfmxv; | |
6797 | patcan_dim3 = *ndimen; | |
6798 | patcan_dim4 = *nbupat; | |
6799 | patcan_offset = patcan_dim1 * (patcan_dim2 * (patcan_dim3 * (patcan_dim4 | |
6800 | + 1) + 1) + 1) + 1; | |
6801 | patcan -= patcan_offset; | |
6802 | ||
6803 | /* Function Body */ | |
6804 | ibb = AdvApp2Var_SysBase::mnfndeb_(); | |
6805 | if (ibb >= 3) { | |
6806 | AdvApp2Var_SysBase::mgenmsg_("MMA2FX6", 7L); | |
6807 | } | |
6808 | ||
6809 | ||
6810 | i__1 = *nbvpat; | |
6811 | for (jj = 1; jj <= i__1; ++jj) { | |
6812 | i__2 = *nbupat; | |
6813 | for (ii = 1; ii <= i__2; ++ii) { | |
6814 | ncfu = ncoefu[ii + jj * ncoefu_dim1]; | |
6815 | ncfv = ncoefv[ii + jj * ncoefv_dim1]; | |
6816 | ||
0d969553 Y |
6817 | /* ********************************************************************** */ |
6818 | /* -------------------- Reduction of degree by U ------------------------- */ | |
6819 | /* ********************************************************************** */ | |
7fd59977 | 6820 | |
6821 | L200: | |
6822 | if (ncfu <= (*iordru + 1) << 1 && ncfu > 2) { | |
6823 | ||
6824 | idim = 0; | |
6825 | i__3 = *nbsesp; | |
6826 | for (ns = 1; ns <= i__3; ++ns) { | |
6827 | tol = epsapr[ns]; | |
6828 | /* Computing MIN */ | |
6829 | d__1 = tol, d__2 = epsfro[ns + epsfro_dim1 * 9]; | |
41194117 | 6830 | tol = advapp_min(d__1,d__2); |
7fd59977 | 6831 | /* Computing MIN */ |
6832 | d__1 = tol, d__2 = epsfro[ns + epsfro_dim1 * 10]; | |
41194117 | 6833 | tol = advapp_min(d__1,d__2); |
7fd59977 | 6834 | /* Computing MIN */ |
6835 | d__1 = tol, d__2 = epsfro[ns + epsfro_dim1 * 11]; | |
41194117 | 6836 | tol = advapp_min(d__1,d__2); |
7fd59977 | 6837 | /* Computing MIN */ |
6838 | d__1 = tol, d__2 = epsfro[ns + epsfro_dim1 * 12]; | |
41194117 | 6839 | tol = advapp_min(d__1,d__2); |
7fd59977 | 6840 | if (ii == 1 || ii == *nbupat || jj == 1 || jj == *nbvpat) |
6841 | { | |
6842 | /* Computing MIN */ | |
6843 | d__1 = tol, d__2 = epsfro[ns + epsfro_dim1 * 5]; | |
41194117 | 6844 | tol = advapp_min(d__1,d__2); |
7fd59977 | 6845 | /* Computing MIN */ |
6846 | d__1 = tol, d__2 = epsfro[ns + epsfro_dim1 * 6]; | |
41194117 | 6847 | tol = advapp_min(d__1,d__2); |
7fd59977 | 6848 | /* Computing MIN */ |
6849 | d__1 = tol, d__2 = epsfro[ns + epsfro_dim1 * 7]; | |
41194117 | 6850 | tol = advapp_min(d__1,d__2); |
7fd59977 | 6851 | /* Computing MIN */ |
6852 | d__1 = tol, d__2 = epsfro[ns + (epsfro_dim1 << 3)]; | |
41194117 | 6853 | tol = advapp_min(d__1,d__2); |
7fd59977 | 6854 | } |
6855 | bid = 0.; | |
6856 | ||
6857 | i__4 = ndimse[ns]; | |
6858 | for (nd = 1; nd <= i__4; ++nd) { | |
6859 | id = idim + nd; | |
6860 | i__5 = ncfv; | |
6861 | for (kv = 1; kv <= i__5; ++kv) { | |
6862 | bid += (d__1 = patcan[ncfu + (kv + (id + (ii + jj | |
6863 | * patcan_dim4) * patcan_dim3) * | |
41194117 | 6864 | patcan_dim2) * patcan_dim1], advapp_abs(d__1)); |
7fd59977 | 6865 | /* L230: */ |
6866 | } | |
6867 | /* L220: */ | |
6868 | } | |
6869 | ||
6870 | if (bid > tol * 1e-6 || bid > errmax[ns + (ii + jj * | |
6871 | errmax_dim2) * errmax_dim1]) { | |
6872 | goto L300; | |
6873 | } | |
6874 | idim += ndimse[ns]; | |
6875 | /* L210: */ | |
6876 | } | |
6877 | ||
6878 | --ncfu; | |
6879 | goto L200; | |
6880 | } | |
6881 | ||
0d969553 Y |
6882 | /* ********************************************************************** */ |
6883 | /* -------------------- Reduction of degree by V ------------------------- */ | |
6884 | /* ********************************************************************** */ | |
7fd59977 | 6885 | |
6886 | L300: | |
6887 | if (ncfv <= (*iordrv + 1) << 1 && ncfv > 2) { | |
6888 | ||
6889 | idim = 0; | |
6890 | i__3 = *nbsesp; | |
6891 | for (ns = 1; ns <= i__3; ++ns) { | |
6892 | tol = epsapr[ns]; | |
6893 | /* Computing MIN */ | |
6894 | d__1 = tol, d__2 = epsfro[ns + epsfro_dim1 * 9]; | |
41194117 | 6895 | tol = advapp_min(d__1,d__2); |
7fd59977 | 6896 | /* Computing MIN */ |
6897 | d__1 = tol, d__2 = epsfro[ns + epsfro_dim1 * 10]; | |
41194117 | 6898 | tol = advapp_min(d__1,d__2); |
7fd59977 | 6899 | /* Computing MIN */ |
6900 | d__1 = tol, d__2 = epsfro[ns + epsfro_dim1 * 11]; | |
41194117 | 6901 | tol = advapp_min(d__1,d__2); |
7fd59977 | 6902 | /* Computing MIN */ |
6903 | d__1 = tol, d__2 = epsfro[ns + epsfro_dim1 * 12]; | |
41194117 | 6904 | tol = advapp_min(d__1,d__2); |
7fd59977 | 6905 | if (ii == 1 || ii == *nbupat || jj == 1 || jj == *nbvpat) |
6906 | { | |
6907 | /* Computing MIN */ | |
6908 | d__1 = tol, d__2 = epsfro[ns + epsfro_dim1 * 5]; | |
41194117 | 6909 | tol = advapp_min(d__1,d__2); |
7fd59977 | 6910 | /* Computing MIN */ |
6911 | d__1 = tol, d__2 = epsfro[ns + epsfro_dim1 * 6]; | |
41194117 | 6912 | tol = advapp_min(d__1,d__2); |
7fd59977 | 6913 | /* Computing MIN */ |
6914 | d__1 = tol, d__2 = epsfro[ns + epsfro_dim1 * 7]; | |
41194117 | 6915 | tol = advapp_min(d__1,d__2); |
7fd59977 | 6916 | /* Computing MIN */ |
6917 | d__1 = tol, d__2 = epsfro[ns + (epsfro_dim1 << 3)]; | |
41194117 | 6918 | tol = advapp_min(d__1,d__2); |
7fd59977 | 6919 | } |
6920 | bid = 0.; | |
6921 | ||
6922 | i__4 = ndimse[ns]; | |
6923 | for (nd = 1; nd <= i__4; ++nd) { | |
6924 | id = idim + nd; | |
6925 | i__5 = ncfu; | |
6926 | for (ku = 1; ku <= i__5; ++ku) { | |
6927 | bid += (d__1 = patcan[ku + (ncfv + (id + (ii + jj | |
6928 | * patcan_dim4) * patcan_dim3) * | |
41194117 | 6929 | patcan_dim2) * patcan_dim1], advapp_abs(d__1)); |
7fd59977 | 6930 | /* L330: */ |
6931 | } | |
6932 | /* L320: */ | |
6933 | } | |
6934 | ||
6935 | if (bid > tol * 1e-6 || bid > errmax[ns + (ii + jj * | |
6936 | errmax_dim2) * errmax_dim1]) { | |
6937 | goto L400; | |
6938 | } | |
6939 | idim += ndimse[ns]; | |
6940 | /* L310: */ | |
6941 | } | |
6942 | ||
6943 | --ncfv; | |
6944 | goto L300; | |
6945 | } | |
6946 | ||
0d969553 | 6947 | /* --- Return the nbs of coeff. and pass to the next square --- */ |
7fd59977 | 6948 | |
6949 | L400: | |
41194117 K |
6950 | ncoefu[ii + jj * ncoefu_dim1] = advapp_max(ncfu,2); |
6951 | ncoefv[ii + jj * ncoefv_dim1] = advapp_max(ncfv,2); | |
7fd59977 | 6952 | /* L110: */ |
6953 | } | |
6954 | /* L100: */ | |
6955 | } | |
6956 | ||
6957 | /* ------------------------------ The End ------------------------------- | |
6958 | */ | |
6959 | ||
6960 | if (ibb >= 3) { | |
6961 | AdvApp2Var_SysBase::mgsomsg_("MMA2FX6", 7L); | |
6962 | } | |
6963 | ||
6964 | return 0 ; | |
6965 | } /* mma2fx6_ */ | |
6966 | ||
6967 | //======================================================================= | |
6968 | //function : mma2jmx_ | |
6969 | //purpose : | |
6970 | //======================================================================= | |
6971 | int AdvApp2Var_ApproxF2var::mma2jmx_(integer *ndgjac, | |
6972 | integer *iordre, | |
6973 | doublereal *xjacmx) | |
6974 | { | |
6975 | /* Initialized data */ | |
6976 | ||
6977 | static doublereal xmax2[57] = { .9682458365518542212948163499456, | |
6978 | .986013297183269340427888048593603, | |
6979 | 1.07810420343739860362585159028115, | |
6980 | 1.17325804490920057010925920756025, | |
6981 | 1.26476561266905634732910520370741, | |
6982 | 1.35169950227289626684434056681946, | |
6983 | 1.43424378958284137759129885012494, | |
6984 | 1.51281316274895465689402798226634, | |
6985 | 1.5878364329591908800533936587012, | |
6986 | 1.65970112228228167018443636171226, | |
6987 | 1.72874345388622461848433443013543, | |
6988 | 1.7952515611463877544077632304216, | |
6989 | 1.85947199025328260370244491818047, | |
6990 | 1.92161634324190018916351663207101, | |
6991 | 1.98186713586472025397859895825157, | |
6992 | 2.04038269834980146276967984252188, | |
6993 | 2.09730119173852573441223706382076, | |
6994 | 2.15274387655763462685970799663412, | |
6995 | 2.20681777186342079455059961912859, | |
6996 | 2.25961782459354604684402726624239, | |
6997 | 2.31122868752403808176824020121524, | |
6998 | 2.36172618435386566570998793688131, | |
6999 | 2.41117852396114589446497298177554, | |
7000 | 2.45964731268663657873849811095449, | |
7001 | 2.50718840313973523778244737914028, | |
7002 | 2.55385260994795361951813645784034, | |
7003 | 2.59968631659221867834697883938297, | |
7004 | 2.64473199258285846332860663371298, | |
7005 | 2.68902863641518586789566216064557, | |
7006 | 2.73261215675199397407027673053895, | |
7007 | 2.77551570192374483822124304745691, | |
7008 | 2.8177699459714315371037628127545, | |
7009 | 2.85940333797200948896046563785957, | |
7010 | 2.90044232019793636101516293333324, | |
7011 | 2.94091151970640874812265419871976, | |
7012 | 2.98083391718088702956696303389061, | |
7013 | 3.02023099621926980436221568258656, | |
7014 | 3.05912287574998661724731962377847, | |
7015 | 3.09752842783622025614245706196447, | |
7016 | 3.13546538278134559341444834866301, | |
7017 | 3.17295042316122606504398054547289, | |
7018 | 3.2099992681699613513775259670214, | |
7019 | 3.24662674946606137764916854570219, | |
7020 | 3.28284687953866689817670991319787, | |
7021 | 3.31867291347259485044591136879087, | |
7022 | 3.35411740487202127264475726990106, | |
7023 | 3.38919225660177218727305224515862, | |
7024 | 3.42390876691942143189170489271753, | |
7025 | 3.45827767149820230182596660024454, | |
7026 | 3.49230918177808483937957161007792, | |
7027 | 3.5260130200285724149540352829756, | |
7028 | 3.55939845146044235497103883695448, | |
7029 | 3.59247431368364585025958062194665, | |
7030 | 3.62524904377393592090180712976368, | |
7031 | 3.65773070318071087226169680450936, | |
7032 | 3.68992700068237648299565823810245, | |
7033 | 3.72184531357268220291630708234186 }; | |
7034 | static doublereal xmax4[55] = { 1.1092649593311780079813740546678, | |
7035 | 1.05299572648705464724876659688996, | |
7036 | 1.0949715351434178709281698645813, | |
7037 | 1.15078388379719068145021100764647, | |
7038 | 1.2094863084718701596278219811869, | |
7039 | 1.26806623151369531323304177532868, | |
7040 | 1.32549784426476978866302826176202, | |
7041 | 1.38142537365039019558329304432581, | |
7042 | 1.43575531950773585146867625840552, | |
7043 | 1.48850442653629641402403231015299, | |
7044 | 1.53973611681876234549146350844736, | |
7045 | 1.58953193485272191557448229046492, | |
7046 | 1.63797820416306624705258190017418, | |
7047 | 1.68515974143594899185621942934906, | |
7048 | 1.73115699602477936547107755854868, | |
7049 | 1.77604489805513552087086912113251, | |
7050 | 1.81989256661534438347398400420601, | |
7051 | 1.86276344480103110090865609776681, | |
7052 | 1.90471563564740808542244678597105, | |
7053 | 1.94580231994751044968731427898046, | |
7054 | 1.98607219357764450634552790950067, | |
7055 | 2.02556989246317857340333585562678, | |
7056 | 2.06433638992049685189059517340452, | |
7057 | 2.10240936014742726236706004607473, | |
7058 | 2.13982350649113222745523925190532, | |
7059 | 2.17661085564771614285379929798896, | |
7060 | 2.21280102016879766322589373557048, | |
7061 | 2.2484214321456956597803794333791, | |
7062 | 2.28349755104077956674135810027654, | |
7063 | 2.31805304852593774867640120860446, | |
7064 | 2.35210997297725685169643559615022, | |
7065 | 2.38568889602346315560143377261814, | |
7066 | 2.41880904328694215730192284109322, | |
7067 | 2.45148841120796359750021227795539, | |
7068 | 2.48374387161372199992570528025315, | |
7069 | 2.5155912654873773953959098501893, | |
7070 | 2.54704548720896557684101746505398, | |
7071 | 2.57812056037881628390134077704127, | |
7072 | 2.60882970619319538196517982945269, | |
7073 | 2.63918540521920497868347679257107, | |
7074 | 2.66919945330942891495458446613851, | |
7075 | 2.69888301230439621709803756505788, | |
7076 | 2.72824665609081486737132853370048, | |
7077 | 2.75730041251405791603760003778285, | |
7078 | 2.78605380158311346185098508516203, | |
7079 | 2.81451587035387403267676338931454, | |
7080 | 2.84269522483114290814009184272637, | |
7081 | 2.87060005919012917988363332454033, | |
7082 | 2.89823818258367657739520912946934, | |
7083 | 2.92561704377132528239806135133273, | |
7084 | 2.95274375377994262301217318010209, | |
7085 | 2.97962510678256471794289060402033, | |
7086 | 3.00626759936182712291041810228171, | |
7087 | 3.03267744830655121818899164295959, | |
7088 | 3.05886060707437081434964933864149 }; | |
7089 | static doublereal xmax6[53] = { 1.21091229812484768570102219548814, | |
7090 | 1.11626917091567929907256116528817, | |
7091 | 1.1327140810290884106278510474203, | |
7092 | 1.1679452722668028753522098022171, | |
7093 | 1.20910611986279066645602153641334, | |
7094 | 1.25228283758701572089625983127043, | |
7095 | 1.29591971597287895911380446311508, | |
7096 | 1.3393138157481884258308028584917, | |
7097 | 1.3821288728999671920677617491385, | |
7098 | 1.42420414683357356104823573391816, | |
7099 | 1.46546895108549501306970087318319, | |
7100 | 1.50590085198398789708599726315869, | |
7101 | 1.54550385142820987194251585145013, | |
7102 | 1.58429644271680300005206185490937, | |
7103 | 1.62230484071440103826322971668038, | |
7104 | 1.65955905239130512405565733793667, | |
7105 | 1.69609056468292429853775667485212, | |
7106 | 1.73193098017228915881592458573809, | |
7107 | 1.7671112206990325429863426635397, | |
7108 | 1.80166107681586964987277458875667, | |
7109 | 1.83560897003644959204940535551721, | |
7110 | 1.86898184653271388435058371983316, | |
7111 | 1.90180515174518670797686768515502, | |
7112 | 1.93410285411785808749237200054739, | |
7113 | 1.96589749778987993293150856865539, | |
7114 | 1.99721027139062501070081653790635, | |
7115 | 2.02806108474738744005306947877164, | |
7116 | 2.05846864831762572089033752595401, | |
7117 | 2.08845055210580131460156962214748, | |
7118 | 2.11802334209486194329576724042253, | |
7119 | 2.14720259305166593214642386780469, | |
7120 | 2.17600297710595096918495785742803, | |
7121 | 2.20443832785205516555772788192013, | |
7122 | 2.2325216999457379530416998244706, | |
7123 | 2.2602654243075083168599953074345, | |
7124 | 2.28768115912702794202525264301585, | |
7125 | 2.3147799369092684021274946755348, | |
7126 | 2.34157220782483457076721300512406, | |
7127 | 2.36806787963276257263034969490066, | |
7128 | 2.39427635443992520016789041085844, | |
7129 | 2.42020656255081863955040620243062, | |
7130 | 2.44586699364757383088888037359254, | |
7131 | 2.47126572552427660024678584642791, | |
7132 | 2.49641045058324178349347438430311, | |
7133 | 2.52130850028451113942299097584818, | |
7134 | 2.54596686772399937214920135190177, | |
7135 | 2.5703922285006754089328998222275, | |
7136 | 2.59459096001908861492582631591134, | |
7137 | 2.61856915936049852435394597597773, | |
7138 | 2.64233265984385295286445444361827, | |
7139 | 2.66588704638685848486056711408168, | |
7140 | 2.68923766976735295746679957665724, | |
7141 | 2.71238965987606292679677228666411 }; | |
7142 | ||
7143 | /* System generated locals */ | |
7144 | integer i__1; | |
7145 | ||
7146 | /* Local variables */ | |
1ef32e96 RL |
7147 | logical ldbg; |
7148 | integer numax, ii; | |
7149 | doublereal bid; | |
7fd59977 | 7150 | |
7151 | ||
7152 | /* ********************************************************************** | |
7153 | */ | |
7154 | ||
0d969553 | 7155 | /* FUNCTION : */ |
7fd59977 | 7156 | /* ---------- */ |
0d969553 Y |
7157 | /* Calculate the max of Jacobo polynoms multiplied by the weight on */ |
7158 | /* (-1,1) for order 0,4,6 or Legendre. */ | |
7fd59977 | 7159 | |
0d969553 | 7160 | /* KEYWORDSS : */ |
7fd59977 | 7161 | /* ----------- */ |
7162 | /* LEGENDRE,APPROXIMATION,ERREUR. */ | |
7163 | ||
0d969553 | 7164 | /* INPUT ARGUMENTS : */ |
7fd59977 | 7165 | /* ------------------ */ |
0d969553 Y |
7166 | /* NDGJAC: Nb of Jacobi coeff. of approximation. */ |
7167 | /* IORDRE: Order of continuity (from -1 to 2) */ | |
7fd59977 | 7168 | |
0d969553 | 7169 | /* OUTPUT ARGUMENTS : */ |
7fd59977 | 7170 | /* ------------------- */ |
0d969553 | 7171 | /* XJACMX: Table of maximums of Jacobi polynoms. */ |
7fd59977 | 7172 | |
0d969553 | 7173 | /* COMMONS USED : */ |
7fd59977 | 7174 | /* ---------------- */ |
7175 | ||
0d969553 Y |
7176 | /* REFERENCES CALLED : */ |
7177 | /* --------------------- */ | |
7fd59977 | 7178 | |
0d969553 | 7179 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 7180 | /* ----------------------------------- */ |
7181 | ||
7fd59977 | 7182 | /* > */ |
7183 | /* *********************************************************************** | |
7184 | */ | |
0d969553 | 7185 | /* Name of the routine */ |
7fd59977 | 7186 | /* ----------------------------- Initialisations ------------------------ |
7187 | */ | |
7188 | ||
7189 | ldbg = AdvApp2Var_SysBase::mnfndeb_() >= 3; | |
7190 | if (ldbg) { | |
7191 | AdvApp2Var_SysBase::mgenmsg_("MMA2JMX", 7L); | |
7192 | } | |
7193 | ||
7194 | numax = *ndgjac - ((*iordre + 1) << 1); | |
7195 | if (*iordre == -1) { | |
7196 | i__1 = numax; | |
7197 | for (ii = 0; ii <= i__1; ++ii) { | |
7198 | bid = (ii * 2. + 1.) / 2.; | |
7199 | xjacmx[ii] = sqrt(bid); | |
7200 | /* L100: */ | |
7201 | } | |
7202 | } else if (*iordre == 0) { | |
7203 | i__1 = numax; | |
7204 | for (ii = 0; ii <= i__1; ++ii) { | |
7205 | xjacmx[ii] = xmax2[ii]; | |
7206 | /* L200: */ | |
7207 | } | |
7208 | } else if (*iordre == 1) { | |
7209 | i__1 = numax; | |
7210 | for (ii = 0; ii <= i__1; ++ii) { | |
7211 | xjacmx[ii] = xmax4[ii]; | |
7212 | /* L400: */ | |
7213 | } | |
7214 | } else if (*iordre == 2) { | |
7215 | i__1 = numax; | |
7216 | for (ii = 0; ii <= i__1; ++ii) { | |
7217 | xjacmx[ii] = xmax6[ii]; | |
7218 | /* L600: */ | |
7219 | } | |
7220 | } | |
7221 | ||
7222 | /* ------------------------- The end ------------------------------------ | |
7223 | */ | |
7224 | ||
7225 | if (ldbg) { | |
7226 | AdvApp2Var_SysBase::mgsomsg_("MMA2JMX", 7L); | |
7227 | } | |
7228 | return 0; | |
7229 | } /* mma2jmx_ */ | |
7230 | ||
7231 | //======================================================================= | |
7232 | //function : mma2moy_ | |
7233 | //purpose : | |
7234 | //======================================================================= | |
7235 | int mma2moy_(integer *ndgumx, | |
7236 | integer *ndgvmx, | |
7237 | integer *ndimen, | |
7238 | integer *mindgu, | |
7239 | integer *maxdgu, | |
7240 | integer *mindgv, | |
7241 | integer *maxdgv, | |
7242 | integer *iordru, | |
7243 | integer *iordrv, | |
7244 | doublereal *patjac, | |
7245 | doublereal *errmoy) | |
7246 | { | |
7247 | /* System generated locals */ | |
7248 | integer patjac_dim1, patjac_dim2, patjac_offset, i__1, i__2, i__3; | |
7249 | ||
7250 | /* Local variables */ | |
1ef32e96 RL |
7251 | logical ldbg; |
7252 | integer minu, minv, idebu, idebv, ii, nd, jj; | |
7253 | doublereal bid0, bid1; | |
7fd59977 | 7254 | |
7255 | ||
7256 | /* ********************************************************************** | |
7257 | */ | |
7258 | ||
0d969553 | 7259 | /* FUNCTION : */ |
7fd59977 | 7260 | /* ---------- */ |
0d969553 Y |
7261 | /* Calculate the average approximation error made when only */ |
7262 | /* the coefficients of PATJAC of degree between */ | |
7263 | /* 2*(IORDRU+1) and MINDGU by U and 2*(IORDRV+1) and MINDGV by V are preserved. */ | |
7fd59977 | 7264 | |
0d969553 | 7265 | /* KEYWORDS : */ |
7fd59977 | 7266 | /* ----------- */ |
0d969553 | 7267 | /* LEGENDRE,APPROXIMATION, AVERAGE ERROR */ |
7fd59977 | 7268 | |
0d969553 | 7269 | /* INPUT ARGUMENTS : */ |
7fd59977 | 7270 | /* ------------------ */ |
0d969553 Y |
7271 | /* NDGUMX: Dimension by U of table PATJAC. */ |
7272 | /* NDGVMX: Dimension by V of table PATJAC. */ | |
7273 | /* NDIMEN: Dimension of the space. */ | |
7274 | /* MINDGU: Lower limit of the index by U of PATJAC coeff to be taken into account. */ | |
7275 | /* MAXDGU: Upper limit of the index by U of PATJAC coeff to be taken into account. */ | |
7276 | /* MINDGV: Lower limit of the index by V of PATJAC coeff to be taken into account. */ | |
7277 | /* MAXDGV: Upper limit of the index by V of PATJAC coeff to be taken into account. */ | |
7278 | /* IORDRU: Order of continuity by U provided by square PATJAC (from -1 to 2) */ | |
7279 | /* IORDRV: Order of continuity by V provided by square PATJAC (from -1 to 2) */ | |
7280 | /* PATJAC: Table of coeff. of the approximation square with */ | |
7281 | /* constraints of order IORDRU by U and IORDRV by V. */ | |
7282 | ||
7283 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 7284 | /* ------------------- */ |
0d969553 Y |
7285 | /* ERRMOY: Average error commited by preserving only the coeff of */ |
7286 | /* PATJAC 2*(IORDRU+1) in MINDGU by U and 2*(IORDRV+1) in MINDGV by V. */ | |
7fd59977 | 7287 | |
0d969553 | 7288 | /* COMMONS USED : */ |
7fd59977 | 7289 | /* ---------------- */ |
7290 | ||
0d969553 Y |
7291 | /* REFERENCES CALLED : */ |
7292 | /* --------------------- */ | |
7fd59977 | 7293 | |
0d969553 | 7294 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 7295 | /* ----------------------------------- */ |
0d969553 Y |
7296 | /* Table PATJAC stores the coeff. Cij of */ |
7297 | /* approximation square F(U,V). Indexes i and j show the degree by */ | |
7298 | /* U and by V of the base polynoms. These base polynoms are in the form: */ | |
7fd59977 | 7299 | |
0d969553 | 7300 | /* ((1 - U*U)**(IORDRU+1)).J(i-2*(IORDRU+1)(U), where */ |
7fd59977 | 7301 | |
0d969553 Y |
7302 | /* polynom J(i-2*(IORDU+1)(U) is the Jacobi polynom of order */ |
7303 | /* IORDRU+1 (the same by V by replacing U by V in the above expression). */ | |
7fd59977 | 7304 | |
0d969553 Y |
7305 | /* The contribution to the average error of term Cij when */ |
7306 | /* it is removed from PATJAC is Cij*Cij. */ | |
7fd59977 | 7307 | |
7fd59977 | 7308 | /* > */ |
7309 | /* *********************************************************************** | |
7310 | */ | |
0d969553 | 7311 | /* Name of the routine */ |
7fd59977 | 7312 | |
7313 | ||
7314 | /* ----------------------------- Initialisations ------------------------ | |
7315 | */ | |
7316 | ||
7317 | /* Parameter adjustments */ | |
7318 | patjac_dim1 = *ndgumx + 1; | |
7319 | patjac_dim2 = *ndgvmx + 1; | |
7320 | patjac_offset = patjac_dim1 * patjac_dim2; | |
7321 | patjac -= patjac_offset; | |
7322 | ||
7323 | /* Function Body */ | |
7324 | ldbg = AdvApp2Var_SysBase::mnfndeb_() >= 3; | |
7325 | if (ldbg) { | |
7326 | AdvApp2Var_SysBase::mgenmsg_("MMA2MOY", 7L); | |
7327 | } | |
7328 | ||
7329 | idebu = (*iordru + 1) << 1; | |
7330 | idebv = (*iordrv + 1) << 1; | |
41194117 K |
7331 | minu = advapp_max(idebu,*mindgu); |
7332 | minv = advapp_max(idebv,*mindgv); | |
7fd59977 | 7333 | bid0 = 0.; |
7334 | *errmoy = 0.; | |
7335 | ||
0d969553 Y |
7336 | /* ------------------ Calculation of the upper bound of the average error ------------ */ |
7337 | /* -------------------- when the coeff. of indexes from MINDGU to MAXDGU ------ */ | |
7338 | /* ---------------- by U and of indexes from MINDGV to MAXDGV by V are removed -------------- */ | |
7fd59977 | 7339 | |
7340 | i__1 = *ndimen; | |
7341 | for (nd = 1; nd <= i__1; ++nd) { | |
7342 | i__2 = *maxdgv; | |
7343 | for (jj = minv; jj <= i__2; ++jj) { | |
7344 | i__3 = *maxdgu; | |
7345 | for (ii = idebu; ii <= i__3; ++ii) { | |
7346 | bid1 = patjac[ii + (jj + nd * patjac_dim2) * patjac_dim1]; | |
7347 | bid0 += bid1 * bid1; | |
7348 | /* L300: */ | |
7349 | } | |
7350 | /* L200: */ | |
7351 | } | |
7352 | /* L100: */ | |
7353 | } | |
7354 | ||
7355 | i__1 = *ndimen; | |
7356 | for (nd = 1; nd <= i__1; ++nd) { | |
7357 | i__2 = minv - 1; | |
7358 | for (jj = idebv; jj <= i__2; ++jj) { | |
7359 | i__3 = *maxdgu; | |
7360 | for (ii = minu; ii <= i__3; ++ii) { | |
7361 | bid1 = patjac[ii + (jj + nd * patjac_dim2) * patjac_dim1]; | |
7362 | bid0 += bid1 * bid1; | |
7363 | /* L600: */ | |
7364 | } | |
7365 | /* L500: */ | |
7366 | } | |
7367 | /* L400: */ | |
7368 | } | |
7369 | ||
0d969553 | 7370 | /* ----------------------- Calculation of the average error ------------- |
7fd59977 | 7371 | */ |
7372 | ||
7373 | bid0 /= 4; | |
7374 | *errmoy = sqrt(bid0); | |
7375 | ||
7376 | /* ------------------------- The end ------------------------------------ | |
7377 | */ | |
7378 | ||
7379 | if (ldbg) { | |
7380 | AdvApp2Var_SysBase::mgsomsg_("MMA2MOY", 7L); | |
7381 | } | |
7382 | return 0; | |
7383 | } /* mma2moy_ */ | |
7384 | ||
7385 | //======================================================================= | |
7386 | //function : mma2roo_ | |
7387 | //purpose : | |
7388 | //======================================================================= | |
7389 | int AdvApp2Var_ApproxF2var::mma2roo_(integer *nbpntu, | |
7390 | integer *nbpntv, | |
7391 | doublereal *urootl, | |
7392 | doublereal *vrootl) | |
7393 | { | |
7394 | /* System generated locals */ | |
7395 | integer i__1; | |
41194117 | 7396 | |
7fd59977 | 7397 | /* Local variables */ |
1ef32e96 | 7398 | integer ii, ibb; |
7fd59977 | 7399 | |
7400 | /* ********************************************************************** | |
7401 | */ | |
7402 | ||
0d969553 | 7403 | /* FUNCTION : */ |
7fd59977 | 7404 | /* ---------- */ |
0d969553 | 7405 | /* Return roots of Legendre for discretisations. */ |
7fd59977 | 7406 | |
0d969553 | 7407 | /* KEYWORDS : */ |
7fd59977 | 7408 | /* ----------- */ |
7409 | /* TOUS, AB_SPECIFI::CONTRAINTE&, DISCRETISATION, &POINT */ | |
7410 | ||
0d969553 | 7411 | /* INPUT ARGUMENTS : */ |
7fd59977 | 7412 | /* ------------------ */ |
0d969553 Y |
7413 | /* NBPNTU: Nb of INTERNAL parameters of discretization BY U. */ |
7414 | /* This is also the nb of root of the Legendre polynom where the discretization is done. */ | |
7415 | /* NBPNTV: Nb of INTERNAL parameters of discretization BY V. */ | |
7416 | /* This is also the nb of root of the Legendre polynom where the discretization is done. */ | |
7fd59977 | 7417 | |
0d969553 | 7418 | /* OUTPUT ARGUMENTS : */ |
7fd59977 | 7419 | /* ------------------- */ |
0d969553 | 7420 | /* UROOTL: Table of parameters of discretisation ON (-1,1) BY U. |
7fd59977 | 7421 | */ |
0d969553 | 7422 | /* VROOTL: Table of parameters of discretisation ON (-1,1) BY V. |
7fd59977 | 7423 | */ |
7424 | ||
0d969553 | 7425 | /* COMMONS USED : */ |
7fd59977 | 7426 | /* ---------------- */ |
7427 | ||
0d969553 Y |
7428 | /* REFERENCES CALLED : */ |
7429 | /* --------------------- */ | |
7fd59977 | 7430 | |
0d969553 | 7431 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 7432 | /* ----------------------------------- */ |
7433 | ||
7fd59977 | 7434 | /* > */ |
7435 | /* ********************************************************************** | |
7436 | */ | |
7437 | ||
0d969553 | 7438 | /* Name of the routine */ |
7fd59977 | 7439 | |
7440 | ||
7441 | /* Parameter adjustments */ | |
7442 | --urootl; | |
7443 | --vrootl; | |
7444 | ||
7445 | /* Function Body */ | |
7446 | ibb = AdvApp2Var_SysBase::mnfndeb_(); | |
7447 | if (ibb >= 3) { | |
7448 | AdvApp2Var_SysBase::mgenmsg_("MMA2ROO", 7L); | |
7449 | } | |
7450 | ||
0d969553 | 7451 | /* ---------------- Return the POSITIVE roots on U ------------------ |
7fd59977 | 7452 | */ |
7453 | ||
7454 | AdvApp2Var_MathBase::mmrtptt_(nbpntu, &urootl[(*nbpntu + 1) / 2 + 1]); | |
7455 | i__1 = *nbpntu / 2; | |
7456 | for (ii = 1; ii <= i__1; ++ii) { | |
7457 | urootl[ii] = -urootl[*nbpntu - ii + 1]; | |
7458 | /* L100: */ | |
7459 | } | |
7460 | if (*nbpntu % 2 == 1) { | |
7461 | urootl[*nbpntu / 2 + 1] = 0.; | |
7462 | } | |
7463 | ||
0d969553 | 7464 | /* ---------------- Return the POSITIVE roots on V ------------------ |
7fd59977 | 7465 | */ |
7466 | ||
7467 | AdvApp2Var_MathBase::mmrtptt_(nbpntv, &vrootl[(*nbpntv + 1) / 2 + 1]); | |
7468 | i__1 = *nbpntv / 2; | |
7469 | for (ii = 1; ii <= i__1; ++ii) { | |
7470 | vrootl[ii] = -vrootl[*nbpntv - ii + 1]; | |
7471 | /* L110: */ | |
7472 | } | |
7473 | if (*nbpntv % 2 == 1) { | |
7474 | vrootl[*nbpntv / 2 + 1] = 0.; | |
7475 | } | |
7476 | ||
7477 | /* ------------------------------ The End ------------------------------- | |
7478 | */ | |
7479 | ||
7480 | if (ibb >= 3) { | |
7481 | AdvApp2Var_SysBase::mgsomsg_("MMA2ROO", 7L); | |
7482 | } | |
7483 | return 0; | |
7484 | } /* mma2roo_ */ | |
7485 | //======================================================================= | |
7486 | //function : mmmapcoe_ | |
7487 | //purpose : | |
7488 | //======================================================================= | |
7489 | int mmmapcoe_(integer *ndim, | |
7490 | integer *ndgjac, | |
7491 | integer *iordre, | |
7492 | integer *nbpnts, | |
7493 | doublereal *somtab, | |
7494 | doublereal *diftab, | |
7495 | doublereal *gsstab, | |
7496 | doublereal *crvjac) | |
7497 | ||
7498 | { | |
7499 | /* System generated locals */ | |
7500 | integer somtab_dim1, somtab_offset, diftab_dim1, diftab_offset, | |
7501 | crvjac_dim1, crvjac_offset, gsstab_dim1, i__1, i__2, i__3; | |
41194117 | 7502 | |
7fd59977 | 7503 | /* Local variables */ |
1ef32e96 RL |
7504 | integer igss, ikdeb; |
7505 | doublereal bidon; | |
7506 | integer nd, ik, ir, nbroot, ibb; | |
7fd59977 | 7507 | |
7508 | /* ********************************************************************** | |
7509 | */ | |
7510 | ||
0d969553 | 7511 | /* FUNCTION : */ |
7fd59977 | 7512 | /* ---------- */ |
0d969553 Y |
7513 | /* Calculate the coefficients of polinomial approximation curve */ |
7514 | /* of degree NDGJAC by the method of smallest squares starting from */ | |
7515 | /* the discretization of function on the roots of Legendre polynom */ | |
7516 | /* of degree NBPNTS. */ | |
7fd59977 | 7517 | |
0d969553 | 7518 | /* KEYWORDS : */ |
7fd59977 | 7519 | /* ----------- */ |
7520 | /* FONCTION,APPROXIMATION,COEFFICIENT,POLYNOME */ | |
7521 | ||
0d969553 | 7522 | /* INPUT ARGUMENTS : */ |
7fd59977 | 7523 | /* ------------------ */ |
0d969553 Y |
7524 | /* NDIM : Dimension of the space. */ |
7525 | /* NDGJAC : Max Degree of the polynom of approximation. */ | |
7526 | /* The representation in the orthogonal base starts from degree */ | |
7527 | /* 0 to degree NDGJAC-2*(JORDRE+1). The polynomial base */ | |
7528 | /* is the base of Jacobi of order -1 (Legendre), 0, 1 and 2 */ | |
7529 | /* IORDRE : Order of the base of Jacobi (-1,0,1 or 2). Corresponds */ | |
7530 | /* to step of constraints, C0,C1 or C2. */ | |
7531 | /* NBPNTS : Degree of the polynom of Legendre on the roots which of */ | |
7532 | /* are calculated the coefficients of integration by */ | |
7533 | /* Gauss method. It is required to set NBPNTS=30,40,50 or 61 */ | |
7534 | /* and NDGJAC < NBPNTS. */ | |
7535 | /* SOMTAB : Table of F(ti)+F(-ti) with ti in ROOTAB. */ | |
7536 | /* DIFTAB : Table of F(ti)-F(-ti) with ti in ROOTAB. */ | |
7537 | /* GSSTAB(i,k) : Table of coefficients of integration by the Gauss method : */ | |
7538 | /* i varies from 0 to NBPNTS and */ | |
7539 | /* k varies from 0 to NDGJAC-2*(JORDRE+1). */ | |
7540 | ||
7541 | /* OUTPUT ARGUMENTSE : */ | |
7fd59977 | 7542 | /* ------------------- */ |
0d969553 Y |
7543 | /* CRVJAC : Curve of approximation of FONCNP with eventually */ |
7544 | /* taking into account of constraints at the extremities. */ | |
7545 | /* This curve is of degree NDGJAC. */ | |
7fd59977 | 7546 | |
0d969553 | 7547 | /* COMMONS USED : */ |
7fd59977 | 7548 | /* ---------------- */ |
7549 | ||
0d969553 Y |
7550 | /* REFERENCES CALLED : */ |
7551 | /* --------------------- */ | |
7fd59977 | 7552 | |
0d969553 Y |
7553 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7554 | /* ------------------------------- */ | |
7fd59977 | 7555 | /* > */ |
7556 | /* ********************************************************************** | |
7557 | */ | |
7558 | ||
0d969553 | 7559 | /* Name of the routine */ |
7fd59977 | 7560 | |
7561 | /* Parameter adjustments */ | |
7562 | crvjac_dim1 = *ndgjac + 1; | |
7563 | crvjac_offset = crvjac_dim1; | |
7564 | crvjac -= crvjac_offset; | |
7565 | gsstab_dim1 = *nbpnts / 2 + 1; | |
7566 | diftab_dim1 = *nbpnts / 2 + 1; | |
7567 | diftab_offset = diftab_dim1; | |
7568 | diftab -= diftab_offset; | |
7569 | somtab_dim1 = *nbpnts / 2 + 1; | |
7570 | somtab_offset = somtab_dim1; | |
7571 | somtab -= somtab_offset; | |
7572 | ||
7573 | /* Function Body */ | |
7574 | ibb = AdvApp2Var_SysBase::mnfndeb_(); | |
7575 | if (ibb >= 2) { | |
7576 | AdvApp2Var_SysBase::mgenmsg_("MMMAPCO", 7L); | |
7577 | } | |
7578 | ikdeb = (*iordre + 1) << 1; | |
7579 | nbroot = *nbpnts / 2; | |
7580 | ||
7581 | i__1 = *ndim; | |
7582 | for (nd = 1; nd <= i__1; ++nd) { | |
7583 | ||
0d969553 | 7584 | /* ----------------- Calculate the coefficients of even degree ---------- |
7fd59977 | 7585 | ---- */ |
7586 | ||
7587 | i__2 = *ndgjac; | |
7588 | for (ik = ikdeb; ik <= i__2; ik += 2) { | |
7589 | igss = ik - ikdeb; | |
7590 | bidon = 0.; | |
7591 | i__3 = nbroot; | |
7592 | for (ir = 1; ir <= i__3; ++ir) { | |
7593 | bidon += somtab[ir + nd * somtab_dim1] * gsstab[ir + igss * | |
7594 | gsstab_dim1]; | |
7595 | /* L300: */ | |
7596 | } | |
7597 | crvjac[ik + nd * crvjac_dim1] = bidon; | |
7598 | /* L200: */ | |
7599 | } | |
7600 | ||
0d969553 | 7601 | /* --------------- Calculate the coefficients of uneven degree ---------- |
7fd59977 | 7602 | ---- */ |
7603 | ||
7604 | i__2 = *ndgjac; | |
7605 | for (ik = ikdeb + 1; ik <= i__2; ik += 2) { | |
7606 | igss = ik - ikdeb; | |
7607 | bidon = 0.; | |
7608 | i__3 = nbroot; | |
7609 | for (ir = 1; ir <= i__3; ++ir) { | |
7610 | bidon += diftab[ir + nd * diftab_dim1] * gsstab[ir + igss * | |
7611 | gsstab_dim1]; | |
7612 | /* L500: */ | |
7613 | } | |
7614 | crvjac[ik + nd * crvjac_dim1] = bidon; | |
7615 | /* L400: */ | |
7616 | } | |
7617 | ||
7618 | /* L100: */ | |
7619 | } | |
7620 | ||
0d969553 Y |
7621 | /* ------- Add terms connected to the supplementary root (0.D0) ------ */ |
7622 | /* ----------- of Legendre polynom of uneven degree NBPNTS ----------- | |
7fd59977 | 7623 | */ |
7624 | ||
7625 | if (*nbpnts % 2 == 0) { | |
7626 | goto L9999; | |
7627 | } | |
7628 | i__1 = *ndim; | |
7629 | for (nd = 1; nd <= i__1; ++nd) { | |
7630 | i__2 = *ndgjac; | |
7631 | for (ik = ikdeb; ik <= i__2; ik += 2) { | |
7632 | igss = ik - ikdeb; | |
7633 | crvjac[ik + nd * crvjac_dim1] += somtab[nd * somtab_dim1] * | |
7634 | gsstab[igss * gsstab_dim1]; | |
7635 | /* L700: */ | |
7636 | } | |
7637 | /* L600: */ | |
7638 | } | |
7639 | ||
7640 | /* ------------------------------ The end ------------------------------- | |
7641 | */ | |
7642 | ||
7643 | L9999: | |
7644 | if (ibb >= 2) { | |
7645 | AdvApp2Var_SysBase::mgsomsg_("MMMAPCO", 7L); | |
7646 | } | |
7647 | return 0; | |
7648 | } /* mmmapcoe_ */ | |
7649 | //======================================================================= | |
7650 | //function : mmaperm_ | |
7651 | //purpose : | |
7652 | //======================================================================= | |
7653 | int mmaperm_(integer *ncofmx, | |
7654 | integer *ndim, | |
7655 | integer *ncoeff, | |
7656 | integer *iordre, | |
7657 | doublereal *crvjac, | |
7658 | integer *ncfnew, | |
7659 | doublereal *errmoy) | |
7660 | { | |
7661 | /* System generated locals */ | |
7662 | integer crvjac_dim1, crvjac_offset, i__1, i__2; | |
7663 | ||
7664 | /* Local variables */ | |
1ef32e96 RL |
7665 | doublereal bidj; |
7666 | integer i__, ia, nd, ncfcut, ibb; | |
7667 | doublereal bid; | |
7fd59977 | 7668 | |
7669 | /* ********************************************************************** | |
7670 | */ | |
7671 | ||
0d969553 | 7672 | /* FUNCTION : */ |
7fd59977 | 7673 | /* ---------- */ |
0d969553 Y |
7674 | /* Calculate the square root of the average quadratic error */ |
7675 | /* of approximation done when only the */ | |
7676 | /* first NCFNEW coefficients of a curve of degree NCOEFF-1 */ | |
7677 | /* written in NORMALIZED Jacobi base of order 2*(IORDRE+1) are preserved. */ | |
7fd59977 | 7678 | |
0d969553 | 7679 | /* KEYWORDS : */ |
7fd59977 | 7680 | /* ----------- */ |
7681 | /* LEGENDRE,POLYGONE,APPROXIMATION,ERREUR. */ | |
7682 | ||
0d969553 | 7683 | /* INPUT ARGUMENTS : */ |
7fd59977 | 7684 | /* ------------------ */ |
0d969553 Y |
7685 | /* NCOFMX : Maximum degree of the curve. */ |
7686 | /* NDIM : Dimension of the space. */ | |
7687 | /* NCOEFF : Degree +1 of the curve. */ | |
7688 | /* IORDRE : Order of constraint of continuity at the extremities. */ | |
7689 | /* CRVJAC : The curve the degree which of will be lowered. */ | |
7690 | /* NCFNEW : Degree +1 of the resulting polynom. */ | |
7691 | ||
7692 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 7693 | /* ------------------- */ |
0d969553 | 7694 | /* ERRMOY : Average precision of approximation. */ |
7fd59977 | 7695 | |
0d969553 | 7696 | /* COMMONS USED : */ |
7fd59977 | 7697 | /* ---------------- */ |
7698 | ||
0d969553 | 7699 | /* REFERENCES CALLED : */ |
7fd59977 | 7700 | /* ----------------------- */ |
7701 | ||
0d969553 | 7702 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 7703 | /* ----------------------------------- */ |
7fd59977 | 7704 | /* > */ |
7705 | /* *********************************************************************** | |
7706 | */ | |
7707 | ||
0d969553 | 7708 | /* Name of the routine */ |
7fd59977 | 7709 | |
7710 | /* Parameter adjustments */ | |
7711 | crvjac_dim1 = *ncofmx; | |
7712 | crvjac_offset = crvjac_dim1 + 1; | |
7713 | crvjac -= crvjac_offset; | |
7714 | ||
7715 | /* Function Body */ | |
7716 | ibb = AdvApp2Var_SysBase::mnfndeb_(); | |
7717 | if (ibb >= 2) { | |
7718 | AdvApp2Var_SysBase::mgenmsg_("MMAPERM", 7L); | |
7719 | } | |
7720 | ||
0d969553 | 7721 | /* --------- Minimum degree that can be reached : Stop at 1 or IA ------- |
7fd59977 | 7722 | */ |
7723 | ||
7724 | ia = (*iordre + 1) << 1; | |
7725 | ncfcut = ia + 1; | |
7726 | if (*ncfnew + 1 > ncfcut) { | |
7727 | ncfcut = *ncfnew + 1; | |
7728 | } | |
7729 | ||
0d969553 Y |
7730 | /* -------------- Elimination of coefficients of high degree ------------ */ |
7731 | /* ----------- Loop on the series of Jacobi :NCFCUT --> NCOEFF --------- */ | |
7fd59977 | 7732 | |
7733 | *errmoy = 0.; | |
7734 | bid = 0.; | |
7735 | i__1 = *ndim; | |
7736 | for (nd = 1; nd <= i__1; ++nd) { | |
7737 | i__2 = *ncoeff; | |
7738 | for (i__ = ncfcut; i__ <= i__2; ++i__) { | |
7739 | bidj = crvjac[i__ + nd * crvjac_dim1]; | |
7740 | bid += bidj * bidj; | |
7741 | /* L200: */ | |
7742 | } | |
7743 | /* L100: */ | |
7744 | } | |
7745 | ||
0d969553 | 7746 | /* ----------- Square Root of average quadratic error e ----------- |
7fd59977 | 7747 | */ |
7748 | ||
7749 | bid /= 2.; | |
7750 | *errmoy = sqrt(bid); | |
7751 | ||
7752 | /* ------------------------------- The end ------------------------------ | |
7753 | */ | |
7754 | ||
7755 | if (ibb >= 2) { | |
7756 | AdvApp2Var_SysBase::mgsomsg_("MMAPERM", 7L); | |
7757 | } | |
7758 | return 0; | |
7759 | } /* mmaperm_ */ | |
7760 | //======================================================================= | |
7761 | //function : mmapptt_ | |
7762 | //purpose : | |
7763 | //======================================================================= | |
7764 | int AdvApp2Var_ApproxF2var::mmapptt_(const integer *ndgjac, | |
7765 | const integer *nbpnts, | |
7766 | const integer *jordre, | |
7767 | doublereal *cgauss, | |
7768 | integer *iercod) | |
7769 | { | |
7770 | /* System generated locals */ | |
7771 | integer cgauss_dim1, i__1; | |
41194117 | 7772 | |
7fd59977 | 7773 | /* Local variables */ |
1ef32e96 | 7774 | integer kjac, iptt, ipdb0, infdg, iptdb, mxjac, ilong, ibb; |
7fd59977 | 7775 | |
7776 | /* ********************************************************************** | |
7777 | */ | |
7778 | ||
0d969553 | 7779 | /* FUNCTION : */ |
7fd59977 | 7780 | /* ---------- */ |
0d969553 | 7781 | /* Load the elements required for integration by */ |
258ff83b | 7782 | /* Gauss method to obtain the coefficients in the base of */ |
0d969553 Y |
7783 | /* Legendre of the approximation by the least squares of a */ |
7784 | /* function. The elements are stored in commons MMAPGSS */ | |
7785 | /* (case without constraint), MMAPGS0 (constraints C0), MMAPGS1 */ | |
7786 | /* (constraints C1) and MMAPGS2 (constraints C2). */ | |
7787 | ||
7788 | /* KEYWORDS : */ | |
7fd59977 | 7789 | /* ----------- */ |
7790 | /* INTEGRATION,GAUSS,JACOBI */ | |
7791 | ||
0d969553 | 7792 | /* INPUT ARGUMENTS : */ |
7fd59977 | 7793 | /* ------------------ */ |
0d969553 | 7794 | /* NDGJAC : Max degree of the polynom of approximation. */ |
258ff83b | 7795 | /* The representation in orthogonal base goes from degree */ |
0d969553 Y |
7796 | /* 0 to degree NDGJAC-2*(JORDRE+1). The polynomial base */ |
7797 | /* is the base of Jacobi of order -1 (Legendre), 0, 1 and 2 */ | |
7798 | /* NBPNTS : Degree of the polynom of Legendre on the roots which of */ | |
7799 | /* are calculated the coefficients of integration by the */ | |
7800 | /* method of Gauss. It is required that NBPNTS=8,10,15,20,25, */ | |
7801 | /* 30,40,50 or 61 and NDGJAC < NBPNTS. */ | |
7802 | /* JORDRE : Order of the base of Jacobi (-1,0,1 or 2). Corresponds */ | |
7803 | /* to step of constraints C0,C1 or C2. */ | |
7804 | ||
7805 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 7806 | /* ------------------- */ |
0d969553 Y |
7807 | /* CGAUSS(i,k) : Table of coefficients of integration by */ |
7808 | /* Gauss method : i varies from 0 to the integer part */ | |
7809 | /* of NBPNTS/2 and k varies from 0 to NDGJAC-2*(JORDRE+1). */ | |
7810 | /* These are the coeff. of integration associated to */ | |
7811 | /* positive roots of the polynom of Legendre of degree */ | |
7812 | /* NBPNTS. CGAUSS(0,k) contains coeff. */ | |
7813 | /* of integration associated to root t = 0 when */ | |
7814 | /* NBPNTS is uneven. */ | |
7815 | /* IERCOD : Error code. */ | |
7fd59977 | 7816 | /* = 0 OK, */ |
0d969553 Y |
7817 | /* = 11 NBPNTS is not 8,10,15,20,25,30,40,50 or 61. */ |
7818 | /* = 21 JORDRE is not -1,0,1 or 2. */ | |
7819 | /* = 31 NDGJAC is too great or too small. */ | |
7fd59977 | 7820 | |
0d969553 | 7821 | /* COMMONS USED : */ |
7fd59977 | 7822 | /* ---------------- */ |
7823 | /* MMAPGSS,MMAPGS0,MMAPGS1,MMAPGS2. */ | |
7fd59977 | 7824 | /* *********************************************************************** |
7825 | */ | |
7826 | /* Parameter adjustments */ | |
7827 | cgauss_dim1 = *nbpnts / 2 + 1; | |
7828 | ||
7829 | /* Function Body */ | |
7830 | ibb = AdvApp2Var_SysBase::mnfndeb_(); | |
7831 | if (ibb >= 2) { | |
7832 | AdvApp2Var_SysBase::mgenmsg_("MMAPPTT", 7L); | |
7833 | } | |
7834 | *iercod = 0; | |
7835 | ||
0d969553 | 7836 | /* ------------------- Tests on the validity of inputs ---------------- |
7fd59977 | 7837 | */ |
7838 | ||
7839 | infdg = (*jordre + 1) << 1; | |
7840 | if (*nbpnts != 8 && *nbpnts != 10 && *nbpnts != 15 && *nbpnts != 20 && * | |
7841 | nbpnts != 25 && *nbpnts != 30 && *nbpnts != 40 && *nbpnts != 50 && | |
7842 | *nbpnts != 61) { | |
7843 | goto L9100; | |
7844 | } | |
7845 | ||
7846 | if (*jordre < -1 || *jordre > 2) { | |
7847 | goto L9200; | |
7848 | } | |
7849 | ||
7850 | if (*ndgjac >= *nbpnts || *ndgjac < infdg) { | |
7851 | goto L9300; | |
7852 | } | |
7853 | ||
0d969553 | 7854 | /* --------------- Calculation of the start pointer following NBPNTS ----------- |
7fd59977 | 7855 | */ |
7856 | ||
7857 | iptdb = 0; | |
7858 | if (*nbpnts > 8) { | |
7859 | iptdb += (8 - infdg) << 2; | |
7860 | } | |
7861 | if (*nbpnts > 10) { | |
7862 | iptdb += (10 - infdg) * 5; | |
7863 | } | |
7864 | if (*nbpnts > 15) { | |
7865 | iptdb += (15 - infdg) * 7; | |
7866 | } | |
7867 | if (*nbpnts > 20) { | |
7868 | iptdb += (20 - infdg) * 10; | |
7869 | } | |
7870 | if (*nbpnts > 25) { | |
7871 | iptdb += (25 - infdg) * 12; | |
7872 | } | |
7873 | if (*nbpnts > 30) { | |
7874 | iptdb += (30 - infdg) * 15; | |
7875 | } | |
7876 | if (*nbpnts > 40) { | |
7877 | iptdb += (40 - infdg) * 20; | |
7878 | } | |
7879 | if (*nbpnts > 50) { | |
7880 | iptdb += (50 - infdg) * 25; | |
7881 | } | |
7882 | ||
7883 | ipdb0 = 1; | |
7884 | if (*nbpnts > 15) { | |
7885 | ipdb0 = ipdb0 + (14 - infdg) / 2 + 1; | |
7886 | } | |
7887 | if (*nbpnts > 25) { | |
7888 | ipdb0 = ipdb0 + (24 - infdg) / 2 + 1; | |
7889 | } | |
7890 | ||
0d969553 | 7891 | /* ------------------ Choice of the common depending on JORDRE ------------- |
7fd59977 | 7892 | */ |
7893 | ||
7894 | if (*jordre == -1) { | |
7895 | goto L1000; | |
7896 | } | |
7897 | if (*jordre == 0) { | |
7898 | goto L2000; | |
7899 | } | |
7900 | if (*jordre == 1) { | |
7901 | goto L3000; | |
7902 | } | |
7903 | if (*jordre == 2) { | |
7904 | goto L4000; | |
7905 | } | |
7906 | ||
0d969553 | 7907 | /* ---------------- Common MMAPGSS (case without constraints) ---------------- |
7fd59977 | 7908 | */ |
7909 | ||
7910 | L1000: | |
7911 | ilong = *nbpnts / 2 << 3; | |
7912 | i__1 = *ndgjac; | |
7913 | for (kjac = 0; kjac <= i__1; ++kjac) { | |
7914 | iptt = iptdb + kjac * (*nbpnts / 2) + 1; | |
7915 | AdvApp2Var_SysBase::mcrfill_(&ilong, | |
fadcea2c RL |
7916 | &mmapgss_.gslxjs[iptt - 1], |
7917 | &cgauss[kjac * cgauss_dim1 + 1]); | |
7fd59977 | 7918 | /* L100: */ |
7919 | } | |
0d969553 | 7920 | /* --> Case when the number of points is uneven. */ |
7fd59977 | 7921 | if (*nbpnts % 2 == 1) { |
7922 | iptt = ipdb0; | |
7923 | i__1 = *ndgjac; | |
7924 | for (kjac = 0; kjac <= i__1; kjac += 2) { | |
7925 | cgauss[kjac * cgauss_dim1] = mmapgss_.gsl0js[iptt - 1]; | |
7926 | ++iptt; | |
7927 | /* L150: */ | |
7928 | } | |
7929 | i__1 = *ndgjac; | |
7930 | for (kjac = 1; kjac <= i__1; kjac += 2) { | |
7931 | cgauss[kjac * cgauss_dim1] = 0.; | |
7932 | /* L160: */ | |
7933 | } | |
7934 | } | |
7935 | goto L9999; | |
7936 | ||
0d969553 | 7937 | /* ---------------- Common MMAPGS0 (case with constraints C0) ------------- |
7fd59977 | 7938 | */ |
7939 | ||
7940 | L2000: | |
7941 | mxjac = *ndgjac - infdg; | |
7942 | ilong = *nbpnts / 2 << 3; | |
7943 | i__1 = mxjac; | |
7944 | for (kjac = 0; kjac <= i__1; ++kjac) { | |
7945 | iptt = iptdb + kjac * (*nbpnts / 2) + 1; | |
7946 | AdvApp2Var_SysBase::mcrfill_(&ilong, | |
fadcea2c RL |
7947 | &mmapgs0_.gslxj0[iptt - 1], |
7948 | &cgauss[kjac * cgauss_dim1 + 1]); | |
7fd59977 | 7949 | /* L200: */ |
7950 | } | |
0d969553 | 7951 | /* --> Case when the number of points is uneven. */ |
7fd59977 | 7952 | if (*nbpnts % 2 == 1) { |
7953 | iptt = ipdb0; | |
7954 | i__1 = mxjac; | |
7955 | for (kjac = 0; kjac <= i__1; kjac += 2) { | |
7956 | cgauss[kjac * cgauss_dim1] = mmapgs0_.gsl0j0[iptt - 1]; | |
7957 | ++iptt; | |
7958 | /* L250: */ | |
7959 | } | |
7960 | i__1 = mxjac; | |
7961 | for (kjac = 1; kjac <= i__1; kjac += 2) { | |
7962 | cgauss[kjac * cgauss_dim1] = 0.; | |
7963 | /* L260: */ | |
7964 | } | |
7965 | } | |
7966 | goto L9999; | |
7967 | ||
0d969553 | 7968 | /* ---------------- Common MMAPGS1 (case with constraints C1) ------------- |
7fd59977 | 7969 | */ |
7970 | ||
7971 | L3000: | |
7972 | mxjac = *ndgjac - infdg; | |
7973 | ilong = *nbpnts / 2 << 3; | |
7974 | i__1 = mxjac; | |
7975 | for (kjac = 0; kjac <= i__1; ++kjac) { | |
7976 | iptt = iptdb + kjac * (*nbpnts / 2) + 1; | |
7977 | AdvApp2Var_SysBase::mcrfill_(&ilong, | |
fadcea2c RL |
7978 | &mmapgs1_.gslxj1[iptt - 1], |
7979 | &cgauss[kjac * cgauss_dim1 + 1]); | |
7fd59977 | 7980 | /* L300: */ |
7981 | } | |
0d969553 | 7982 | /* --> Case when the number of points is uneven. */ |
7fd59977 | 7983 | if (*nbpnts % 2 == 1) { |
7984 | iptt = ipdb0; | |
7985 | i__1 = mxjac; | |
7986 | for (kjac = 0; kjac <= i__1; kjac += 2) { | |
7987 | cgauss[kjac * cgauss_dim1] = mmapgs1_.gsl0j1[iptt - 1]; | |
7988 | ++iptt; | |
7989 | /* L350: */ | |
7990 | } | |
7991 | i__1 = mxjac; | |
7992 | for (kjac = 1; kjac <= i__1; kjac += 2) { | |
7993 | cgauss[kjac * cgauss_dim1] = 0.; | |
7994 | /* L360: */ | |
7995 | } | |
7996 | } | |
7997 | goto L9999; | |
7998 | ||
0d969553 | 7999 | /* ---------------- Common MMAPGS2 (case with constraints C2) ------------- |
7fd59977 | 8000 | */ |
8001 | ||
8002 | L4000: | |
8003 | mxjac = *ndgjac - infdg; | |
8004 | ilong = *nbpnts / 2 << 3; | |
8005 | i__1 = mxjac; | |
8006 | for (kjac = 0; kjac <= i__1; ++kjac) { | |
8007 | iptt = iptdb + kjac * (*nbpnts / 2) + 1; | |
8008 | AdvApp2Var_SysBase::mcrfill_(&ilong, | |
fadcea2c RL |
8009 | &mmapgs2_.gslxj2[iptt - 1], |
8010 | &cgauss[kjac * cgauss_dim1 + 1]); | |
7fd59977 | 8011 | /* L400: */ |
8012 | } | |
0d969553 | 8013 | /* --> Cas of uneven number of points. */ |
7fd59977 | 8014 | if (*nbpnts % 2 == 1) { |
8015 | iptt = ipdb0; | |
8016 | i__1 = mxjac; | |
8017 | for (kjac = 0; kjac <= i__1; kjac += 2) { | |
8018 | cgauss[kjac * cgauss_dim1] = mmapgs2_.gsl0j2[iptt - 1]; | |
8019 | ++iptt; | |
8020 | /* L450: */ | |
8021 | } | |
8022 | i__1 = mxjac; | |
8023 | for (kjac = 1; kjac <= i__1; kjac += 2) { | |
8024 | cgauss[kjac * cgauss_dim1] = 0.; | |
8025 | /* L460: */ | |
8026 | } | |
8027 | } | |
8028 | goto L9999; | |
8029 | ||
0d969553 | 8030 | /* ------------------------- Return the error code -------------- |
7fd59977 | 8031 | */ |
0d969553 | 8032 | /* --> NBPNTS is not OK */ |
7fd59977 | 8033 | L9100: |
8034 | *iercod = 11; | |
8035 | goto L9999; | |
0d969553 | 8036 | /* --> JORDRE is not OK */ |
7fd59977 | 8037 | L9200: |
8038 | *iercod = 21; | |
8039 | goto L9999; | |
0d969553 | 8040 | /* --> NDGJAC is not OK */ |
7fd59977 | 8041 | L9300: |
8042 | *iercod = 31; | |
8043 | goto L9999; | |
8044 | ||
8045 | /* -------------------------------- The end ----------------------------- | |
8046 | */ | |
8047 | ||
8048 | L9999: | |
8049 | if (*iercod > 0) { | |
8050 | AdvApp2Var_SysBase::maermsg_("MMAPPTT", iercod, 7L); | |
8051 | } | |
8052 | if (ibb >= 2) { | |
8053 | AdvApp2Var_SysBase::mgsomsg_("MMAPPTT", 7L); | |
8054 | } | |
8055 | ||
8056 | return 0 ; | |
8057 | } /* mmapptt_ */ | |
8058 | ||
8059 | //======================================================================= | |
8060 | //function : mmjacpt_ | |
8061 | //purpose : | |
8062 | //======================================================================= | |
8063 | int mmjacpt_(const integer *ndimen, | |
8064 | const integer *ncoefu, | |
8065 | const integer *ncoefv, | |
8066 | const integer *iordru, | |
8067 | const integer *iordrv, | |
8068 | const doublereal *ptclgd, | |
8069 | doublereal *ptcaux, | |
8070 | doublereal *ptccan) | |
8071 | { | |
8072 | /* System generated locals */ | |
8073 | integer ptccan_dim1, ptccan_dim2, ptccan_offset, ptclgd_dim1, ptclgd_dim2, | |
8074 | ptclgd_offset, ptcaux_dim1, ptcaux_dim2, ptcaux_dim3, | |
8075 | ptcaux_offset, i__1, i__2, i__3; | |
8076 | ||
8077 | /* Local variables */ | |
1ef32e96 | 8078 | integer kdim, nd, ii, jj, ibb; |
7fd59977 | 8079 | |
8080 | /* *********************************************************************** | |
8081 | */ | |
8082 | ||
8083 | /* FONCTION : */ | |
8084 | /* ---------- */ | |
0d969553 Y |
8085 | /* Passage from canonical to Jacobi base for a */ |
8086 | /* "square" in a space of arbitrary dimension. */ | |
7fd59977 | 8087 | |
8088 | /* MOTS CLES : */ | |
8089 | /* ----------- */ | |
0d969553 | 8090 | /* SMOOTHING,BASE,LEGENDRE */ |
7fd59977 | 8091 | |
8092 | ||
0d969553 | 8093 | /* INPUT ARGUMENTS : */ |
7fd59977 | 8094 | /* ------------------ */ |
0d969553 Y |
8095 | /* NDIMEN : Dimension of the space. */ |
8096 | /* NCOEFU : Degree+1 by U. */ | |
8097 | /* NCOEFV : Degree+1 by V. */ | |
8098 | /* IORDRU : Order of Jacobi polynoms by U. */ | |
8099 | /* IORDRV : Order of Jacobi polynoms by V. */ | |
8100 | /* PTCLGD : The square in the Jacobi base. */ | |
8101 | ||
8102 | /* OUTPUT ARGUMENTS : */ | |
7fd59977 | 8103 | /* ------------------- */ |
0d969553 Y |
8104 | /* PTCAUX : Auxilliary space. */ |
8105 | /* PTCCAN : The square in the canonic base (-1,1) */ | |
7fd59977 | 8106 | |
0d969553 | 8107 | /* COMMONS USED : */ |
7fd59977 | 8108 | /* ---------------- */ |
8109 | ||
0d969553 | 8110 | /* APPLIED REFERENCES : */ |
7fd59977 | 8111 | /* ----------------------- */ |
8112 | ||
0d969553 | 8113 | /* DESCRIPTION/NOTES/LIMITATIONS : */ |
7fd59977 | 8114 | /* ----------------------------------- */ |
0d969553 | 8115 | /* Cancels and replaces MJACPC */ |
7fd59977 | 8116 | |
7fd59977 | 8117 | /* ********************************************************************* |
8118 | */ | |
0d969553 | 8119 | /* Name of the routine */ |
7fd59977 | 8120 | |
8121 | ||
8122 | /* Parameter adjustments */ | |
8123 | ptccan_dim1 = *ncoefu; | |
8124 | ptccan_dim2 = *ncoefv; | |
8125 | ptccan_offset = ptccan_dim1 * (ptccan_dim2 + 1) + 1; | |
8126 | ptccan -= ptccan_offset; | |
8127 | ptcaux_dim1 = *ncoefv; | |
8128 | ptcaux_dim2 = *ncoefu; | |
8129 | ptcaux_dim3 = *ndimen; | |
8130 | ptcaux_offset = ptcaux_dim1 * (ptcaux_dim2 * (ptcaux_dim3 + 1) + 1) + 1; | |
8131 | ptcaux -= ptcaux_offset; | |
8132 | ptclgd_dim1 = *ncoefu; | |
8133 | ptclgd_dim2 = *ncoefv; | |
8134 | ptclgd_offset = ptclgd_dim1 * (ptclgd_dim2 + 1) + 1; | |
8135 | ptclgd -= ptclgd_offset; | |
8136 | ||
8137 | /* Function Body */ | |
8138 | ibb = AdvApp2Var_SysBase::mnfndeb_(); | |
8139 | if (ibb >= 3) { | |
8140 | AdvApp2Var_SysBase::mgenmsg_("MMJACPT", 7L); | |
8141 | } | |
8142 | ||
0d969553 | 8143 | /* Passage into canonical by u. */ |
7fd59977 | 8144 | |
8145 | kdim = *ndimen * *ncoefv; | |
fadcea2c RL |
8146 | AdvApp2Var_MathBase::mmjaccv_(ncoefu, |
8147 | &kdim, | |
8148 | iordru, | |
8149 | &ptclgd[ptclgd_offset], | |
8150 | &ptcaux[ptcaux_offset], | |
8151 | &ptccan[ptccan_offset]); | |
7fd59977 | 8152 | |
0d969553 | 8153 | /* Swapping of u and v. */ |
7fd59977 | 8154 | |
8155 | i__1 = *ndimen; | |
8156 | for (nd = 1; nd <= i__1; ++nd) { | |
8157 | i__2 = *ncoefv; | |
8158 | for (jj = 1; jj <= i__2; ++jj) { | |
8159 | i__3 = *ncoefu; | |
8160 | for (ii = 1; ii <= i__3; ++ii) { | |
8161 | ptcaux[jj + (ii + (nd + ptcaux_dim3) * ptcaux_dim2) * | |
8162 | ptcaux_dim1] = ptccan[ii + (jj + nd * ptccan_dim2) * | |
8163 | ptccan_dim1]; | |
8164 | /* L320: */ | |
8165 | } | |
8166 | /* L310: */ | |
8167 | } | |
8168 | /* L300: */ | |
8169 | } | |
8170 | ||
0d969553 | 8171 | /* Passage into canonical by v. */ |
7fd59977 | 8172 | |
8173 | kdim = *ndimen * *ncoefu; | |
fadcea2c RL |
8174 | AdvApp2Var_MathBase::mmjaccv_(ncoefv, |
8175 | &kdim, | |
8176 | iordrv, | |
8177 | &ptcaux[((ptcaux_dim3 + 1) * ptcaux_dim2 + 1) * ptcaux_dim1 + 1], | |
8178 | &ptccan[ptccan_offset], | |
8179 | &ptcaux[(((ptcaux_dim3 << 1) + 1) * ptcaux_dim2 + 1) * ptcaux_dim1 + 1]); | |
7fd59977 | 8180 | |
0d969553 | 8181 | /* Swapping of u and v. */ |
7fd59977 | 8182 | |
8183 | i__1 = *ndimen; | |
8184 | for (nd = 1; nd <= i__1; ++nd) { | |
8185 | i__2 = *ncoefv; | |
8186 | for (jj = 1; jj <= i__2; ++jj) { | |
8187 | i__3 = *ncoefu; | |
8188 | for (ii = 1; ii <= i__3; ++ii) { | |
8189 | ptccan[ii + (jj + nd * ptccan_dim2) * ptccan_dim1] = ptcaux[ | |
8190 | jj + (ii + (nd + (ptcaux_dim3 << 1)) * ptcaux_dim2) * | |
8191 | ptcaux_dim1]; | |
8192 | /* L420: */ | |
8193 | } | |
8194 | /* L410: */ | |
8195 | } | |
8196 | /* L400: */ | |
8197 | } | |
8198 | ||
8199 | /* ---------------------------- THAT'S ALL FOLKS ------------------------ | |
8200 | */ | |
8201 | ||
8202 | if (ibb >= 3) { | |
8203 | AdvApp2Var_SysBase::mgsomsg_("MMJACPT", 7L); | |
8204 | } | |
8205 | return 0; | |
8206 | } /* mmjacpt_ */ |