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00006 #ifdef __cplusplus
00007 extern "C" {
00008 #endif
00009 #include "f2c.h"
00010
00011
00012
00013 static integer c__2 = 2;
00014 static integer c__1 = 1;
00015
00016 int dadhre_(integer *ndim, integer *numfun, integer *mdiv,
00017 doublereal *a, doublereal *b, integer *minsub, integer *maxsub, U_fp
00018 funsub, doublereal *epsabs, doublereal *epsrel, integer *key, integer
00019 *restar, integer *num, integer *lenw, integer *wtleng, doublereal *
00020 result, doublereal *abserr, integer *neval, integer *nsub, integer *
00021 ifail, doublereal *values, doublereal *errors, doublereal *centrs,
00022 doublereal *hwidts, doublereal *greate, doublereal *dir, doublereal *
00023 oldres, doublereal *work, doublereal *g, doublereal *w, doublereal *
00024 rulpts, doublereal *center, doublereal *hwidth, doublereal *x,
00025 doublereal *scales, doublereal *norms)
00026 {
00027
00028 integer values_dim1, values_offset, errors_dim1, errors_offset,
00029 centrs_dim1, centrs_offset, hwidts_dim1, hwidts_offset,
00030 oldres_dim1, oldres_offset, g_dim1, g_dim2, g_offset, x_dim1,
00031 x_offset, i__1, i__2, i__3;
00032 doublereal d__1;
00033
00034
00035 static integer i__, j, k, l1;
00036 static doublereal est1, est2;
00037 static integer ndiv, index;
00038 static doublereal oldcen;
00039 extern int dinhre_(integer *, integer *, integer *,
00040 doublereal *, doublereal *, doublereal *, doublereal *,
00041 doublereal *, doublereal *);
00042 static integer direct;
00043 static doublereal errcof[6];
00044 extern int drlhre_(integer *, doublereal *, doublereal *,
00045 integer *, doublereal *, doublereal *, doublereal *, integer *,
00046 U_fp, doublereal *, doublereal *, doublereal *, doublereal *,
00047 doublereal *, doublereal *, doublereal *), dtrhre_(integer *,
00048 integer *, integer *, integer *, doublereal *, doublereal *,
00049 doublereal *, doublereal *, doublereal *, doublereal *,
00050 doublereal *, doublereal *, doublereal *, doublereal *);
00051 static integer intsgn, sbrgns, pointr;
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00241
00242 --hwidth;
00243 --center;
00244 --b;
00245 --a;
00246 --abserr;
00247 --result;
00248 x_dim1 = *ndim;
00249 x_offset = 1 + x_dim1;
00250 x -= x_offset;
00251 oldres_dim1 = *numfun;
00252 oldres_offset = 1 + oldres_dim1;
00253 oldres -= oldres_offset;
00254 --dir;
00255 --greate;
00256 hwidts_dim1 = *ndim;
00257 hwidts_offset = 1 + hwidts_dim1;
00258 hwidts -= hwidts_offset;
00259 centrs_dim1 = *ndim;
00260 centrs_offset = 1 + centrs_dim1;
00261 centrs -= centrs_offset;
00262 errors_dim1 = *numfun;
00263 errors_offset = 1 + errors_dim1;
00264 errors -= errors_offset;
00265 values_dim1 = *numfun;
00266 values_offset = 1 + values_dim1;
00267 values -= values_offset;
00268 --work;
00269 norms -= 4;
00270 scales -= 4;
00271 --rulpts;
00272 w -= 6;
00273 g_dim1 = *ndim;
00274 g_dim2 = *wtleng;
00275 g_offset = 1 + g_dim1 * (1 + g_dim2);
00276 g -= g_offset;
00277
00278
00279 intsgn = 1;
00280 i__1 = *ndim;
00281 for (j = 1; j <= i__1; ++j) {
00282 if (b[j] < a[j]) {
00283 intsgn = -intsgn;
00284 }
00285
00286 }
00287
00288
00289
00290
00291 dinhre_(ndim, key, wtleng, &w[6], &g[g_offset], errcof, &rulpts[1], &
00292 scales[4], &norms[4]);
00293
00294
00295
00296 if (*restar == 1) {
00297 sbrgns = *nsub;
00298 goto L110;
00299 }
00300
00301
00302
00303 sbrgns = 1;
00304 i__1 = *ndim;
00305 for (j = 1; j <= i__1; ++j) {
00306 centrs[j + centrs_dim1] = (a[j] + b[j]) / 2;
00307 hwidts[j + hwidts_dim1] = (d__1 = b[j] - a[j], abs(d__1)) / 2;
00308
00309 }
00310
00311
00312
00313 i__1 = *numfun;
00314 for (j = 1; j <= i__1; ++j) {
00315 result[j] = 0.;
00316 abserr[j] = 0.;
00317
00318 }
00319 *neval = 0;
00320
00321
00322
00323 drlhre_(ndim, ¢rs[centrs_dim1 + 1], &hwidts[hwidts_dim1 + 1], wtleng,
00324 &g[g_offset], &w[6], errcof, numfun, (U_fp)funsub, &scales[4], &
00325 norms[4], &x[x_offset], &work[1], &values[values_dim1 + 1], &
00326 errors[errors_dim1 + 1], &dir[1]);
00327 *neval += *num;
00328
00329
00330
00331 i__1 = *numfun;
00332 for (j = 1; j <= i__1; ++j) {
00333 result[j] += values[j + values_dim1];
00334
00335 }
00336 i__1 = *numfun;
00337 for (j = 1; j <= i__1; ++j) {
00338 abserr[j] += errors[j + errors_dim1];
00339
00340 }
00341
00342
00343
00344 index = 1;
00345 dtrhre_(&c__2, ndim, numfun, &index, &values[values_offset], &errors[
00346 errors_offset], ¢rs[centrs_offset], &hwidts[hwidts_offset], &
00347 greate[1], &work[1], &work[*numfun + 1], ¢er[1], &hwidth[1], &
00348 dir[1]);
00349
00350
00351
00352
00353
00354
00355 L110:
00356 if (sbrgns + 1 <= *maxsub) {
00357
00358
00359
00360
00361
00362
00363 if (*mdiv > 1) {
00364 ndiv = *maxsub - sbrgns;
00365
00366 i__1 = min(ndiv,*mdiv);
00367 ndiv = min(i__1,sbrgns);
00368 } else {
00369 ndiv = 1;
00370 }
00371
00372
00373
00374
00375 i__1 = ndiv;
00376 for (i__ = 1; i__ <= i__1; ++i__) {
00377 pointr = sbrgns + ndiv + 1 - i__;
00378
00379
00380
00381 i__2 = *numfun;
00382 for (j = 1; j <= i__2; ++j) {
00383 result[j] -= values[j + values_dim1];
00384 abserr[j] -= errors[j + errors_dim1];
00385
00386 }
00387
00388
00389
00390 i__2 = *ndim;
00391 for (j = 1; j <= i__2; ++j) {
00392 centrs[j + pointr * centrs_dim1] = centrs[j + centrs_dim1];
00393 hwidts[j + pointr * hwidts_dim1] = hwidts[j + hwidts_dim1];
00394
00395 }
00396 direct = (integer) dir[1];
00397 dir[pointr] = (doublereal) direct;
00398 hwidts[direct + pointr * hwidts_dim1] = hwidts[direct +
00399 hwidts_dim1] / 2;
00400 oldcen = centrs[direct + centrs_dim1];
00401 centrs[direct + pointr * centrs_dim1] = oldcen - hwidts[direct +
00402 pointr * hwidts_dim1];
00403
00404
00405
00406 i__2 = *numfun;
00407 for (j = 1; j <= i__2; ++j) {
00408 oldres[j + (ndiv - i__ + 1) * oldres_dim1] = values[j +
00409 values_dim1];
00410
00411 }
00412
00413
00414
00415 dtrhre_(&c__1, ndim, numfun, &sbrgns, &values[values_offset], &
00416 errors[errors_offset], ¢rs[centrs_offset], &hwidts[
00417 hwidts_offset], &greate[1], &work[1], &work[*numfun + 1],
00418 ¢er[1], &hwidth[1], &dir[1]);
00419
00420
00421
00422 i__2 = *ndim;
00423 for (j = 1; j <= i__2; ++j) {
00424 centrs[j + (pointr - 1) * centrs_dim1] = centrs[j + pointr *
00425 centrs_dim1];
00426 hwidts[j + (pointr - 1) * hwidts_dim1] = hwidts[j + pointr *
00427 hwidts_dim1];
00428
00429 }
00430 centrs[direct + (pointr - 1) * centrs_dim1] = oldcen + hwidts[
00431 direct + pointr * hwidts_dim1];
00432 hwidts[direct + (pointr - 1) * hwidts_dim1] = hwidts[direct +
00433 pointr * hwidts_dim1];
00434 dir[pointr - 1] = (doublereal) direct;
00435
00436 }
00437
00438
00439
00440 i__1 = ndiv << 1;
00441 for (i__ = 2; i__ <= i__1; ++i__) {
00442 i__2 = *ndim;
00443 for (j = 1; j <= i__2; ++j) {
00444 i__3 = *wtleng;
00445 for (k = 1; k <= i__3; ++k) {
00446 g[j + (k + i__ * g_dim2) * g_dim1] = g[j + (k + g_dim2) *
00447 g_dim1];
00448
00449 }
00450 }
00451 }
00452
00453
00454
00455
00456 i__3 = ndiv << 1;
00457 for (i__ = 1; i__ <= i__3; ++i__) {
00458 index = sbrgns + i__;
00459 l1 = (i__ - 1 << 3) * *numfun + 1;
00460 drlhre_(ndim, ¢rs[index * centrs_dim1 + 1], &hwidts[index *
00461 hwidts_dim1 + 1], wtleng, &g[(i__ * g_dim2 + 1) * g_dim1
00462 + 1], &w[6], errcof, numfun, (U_fp)funsub, &scales[4], &
00463 norms[4], &x[i__ * x_dim1 + 1], &work[l1], &values[index *
00464 values_dim1 + 1], &errors[index * errors_dim1 + 1], &dir[
00465 index]);
00466
00467 }
00468 *neval += (ndiv << 1) * *num;
00469
00470
00471
00472 i__3 = ndiv << 1;
00473 for (i__ = 1; i__ <= i__3; ++i__) {
00474 i__2 = *numfun;
00475 for (j = 1; j <= i__2; ++j) {
00476 result[j] += values[j + (sbrgns + i__) * values_dim1];
00477
00478 }
00479
00480 }
00481
00482
00483
00484
00485 i__3 = ndiv;
00486 for (i__ = 1; i__ <= i__3; ++i__) {
00487 greate[sbrgns + (i__ << 1) - 1] = 0.;
00488 greate[sbrgns + (i__ << 1)] = 0.;
00489 i__2 = *numfun;
00490 for (j = 1; j <= i__2; ++j) {
00491 est1 = (d__1 = oldres[j + i__ * oldres_dim1] - (values[j + (
00492 sbrgns + (i__ << 1) - 1) * values_dim1] + values[j + (
00493 sbrgns + (i__ << 1)) * values_dim1]), abs(d__1));
00494 est2 = errors[j + (sbrgns + (i__ << 1) - 1) * errors_dim1] +
00495 errors[j + (sbrgns + (i__ << 1)) * errors_dim1];
00496 if (est2 > 0.) {
00497 errors[j + (sbrgns + (i__ << 1) - 1) * errors_dim1] *=
00498 errcof[4] * est1 / est2 + 1;
00499 errors[j + (sbrgns + (i__ << 1)) * errors_dim1] *= errcof[
00500 4] * est1 / est2 + 1;
00501 }
00502 errors[j + (sbrgns + (i__ << 1) - 1) * errors_dim1] += errcof[
00503 5] * est1;
00504 errors[j + (sbrgns + (i__ << 1)) * errors_dim1] += errcof[5] *
00505 est1;
00506 if (errors[j + (sbrgns + (i__ << 1) - 1) * errors_dim1] >
00507 greate[sbrgns + (i__ << 1) - 1]) {
00508 greate[sbrgns + (i__ << 1) - 1] = errors[j + (sbrgns + (
00509 i__ << 1) - 1) * errors_dim1];
00510 }
00511 if (errors[j + (sbrgns + (i__ << 1)) * errors_dim1] > greate[
00512 sbrgns + (i__ << 1)]) {
00513 greate[sbrgns + (i__ << 1)] = errors[j + (sbrgns + (i__ <<
00514 1)) * errors_dim1];
00515 }
00516 abserr[j] = abserr[j] + errors[j + (sbrgns + (i__ << 1) - 1) *
00517 errors_dim1] + errors[j + (sbrgns + (i__ << 1)) *
00518 errors_dim1];
00519
00520 }
00521
00522 }
00523
00524
00525
00526 i__3 = ndiv << 1;
00527 for (i__ = 1; i__ <= i__3; ++i__) {
00528 index = sbrgns + i__;
00529 dtrhre_(&c__2, ndim, numfun, &index, &values[values_offset], &
00530 errors[errors_offset], ¢rs[centrs_offset], &hwidts[
00531 hwidts_offset], &greate[1], &work[1], &work[*numfun + 1],
00532 ¢er[1], &hwidth[1], &dir[1]);
00533
00534 }
00535 sbrgns += ndiv << 1;
00536
00537
00538
00539 if (sbrgns < *minsub) {
00540 goto L110;
00541 }
00542 i__3 = *numfun;
00543 for (j = 1; j <= i__3; ++j) {
00544 if (abserr[j] > *epsrel * (d__1 = result[j], abs(d__1)) && abserr[
00545 j] > *epsabs) {
00546 goto L110;
00547 }
00548
00549 }
00550 *ifail = 0;
00551 goto L499;
00552
00553
00554
00555
00556 } else {
00557 *ifail = 1;
00558 }
00559
00560
00561
00562 L499:
00563 i__3 = *numfun;
00564 for (j = 1; j <= i__3; ++j) {
00565 result[j] = 0.;
00566 abserr[j] = 0.;
00567
00568 }
00569 i__3 = sbrgns;
00570 for (i__ = 1; i__ <= i__3; ++i__) {
00571 i__2 = *numfun;
00572 for (j = 1; j <= i__2; ++j) {
00573 result[j] += values[j + i__ * values_dim1];
00574 abserr[j] += errors[j + i__ * errors_dim1];
00575
00576 }
00577
00578 }
00579
00580
00581
00582 i__3 = *numfun;
00583 for (j = 1; j <= i__3; ++j) {
00584 result[j] *= intsgn;
00585
00586 }
00587 *nsub = sbrgns;
00588 return 0;
00589
00590
00591
00592 }
00593
00594 #ifdef __cplusplus
00595 }
00596 #endif