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00013 #include "f2c.h"
00014 #include "blaswrap.h"
00015
00016
00017
00018 struct {
00019 integer infot, nunit;
00020 logical ok, lerr;
00021 } infoc_;
00022
00023 #define infoc_1 infoc_
00024
00025 struct {
00026 char srnamt[32];
00027 } srnamc_;
00028
00029 #define srnamc_1 srnamc_
00030
00031
00032
00033 static integer c__1 = 1;
00034 static integer c__2 = 2;
00035 static integer c__0 = 0;
00036 static integer c_n1 = -1;
00037 static real c_b45 = 0.f;
00038 static real c_b46 = 1.f;
00039
00040 int sdrvpb_(logical *dotype, integer *nn, integer *nval,
00041 integer *nrhs, real *thresh, logical *tsterr, integer *nmax, real *a,
00042 real *afac, real *asav, real *b, real *bsav, real *x, real *xact,
00043 real *s, real *work, real *rwork, integer *iwork, integer *nout)
00044 {
00045
00046
00047 static integer iseedy[4] = { 1988,1989,1990,1991 };
00048 static char facts[1*3] = "F" "N" "E";
00049 static char equeds[1*2] = "N" "Y";
00050
00051
00052 static char fmt_9999[] = "(1x,a,\002, UPLO='\002,a1,\002', N =\002,i5"
00053 ",\002, KD =\002,i5,\002, type \002,i1,\002, test(\002,i1,\002)"
00054 "=\002,g12.5)";
00055 static char fmt_9997[] = "(1x,a,\002( '\002,a1,\002', '\002,a1,\002',"
00056 " \002,i5,\002, \002,i5,\002, ... ), EQUED='\002,a1,\002', type"
00057 " \002,i1,\002, test(\002,i1,\002)=\002,g12.5)";
00058 static char fmt_9998[] = "(1x,a,\002( '\002,a1,\002', '\002,a1,\002',"
00059 " \002,i5,\002, \002,i5,\002, ... ), type \002,i1,\002, test(\002"
00060 ",i1,\002)=\002,g12.5)";
00061
00062
00063 address a__1[2];
00064 integer i__1, i__2, i__3, i__4, i__5, i__6, i__7[2];
00065 char ch__1[2];
00066
00067
00068 int s_copy(char *, char *, ftnlen, ftnlen);
00069 integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
00070 int s_cat(char *, char **, integer *, integer *, ftnlen);
00071
00072
00073 integer i__, k, n, i1, i2, k1, kd, nb, in, kl, iw, ku, nt, lda, ikd, nkd,
00074 ldab;
00075 char fact[1];
00076 integer ioff, mode, koff;
00077 real amax;
00078 char path[3];
00079 integer imat, info;
00080 char dist[1], uplo[1], type__[1];
00081 integer nrun, ifact, nfail, iseed[4], nfact, kdval[4];
00082 extern logical lsame_(char *, char *);
00083 char equed[1];
00084 integer nbmin;
00085 real rcond, roldc, scond;
00086 integer nimat;
00087 extern doublereal sget06_(real *, real *);
00088 extern int sget04_(integer *, integer *, real *, integer
00089 *, real *, integer *, real *, real *), spbt01_(char *, integer *,
00090 integer *, real *, integer *, real *, integer *, real *, real *);
00091 real anorm;
00092 extern int spbt02_(char *, integer *, integer *, integer
00093 *, real *, integer *, real *, integer *, real *, integer *, real *
00094 , real *), spbt05_(char *, integer *, integer *, integer *
00095 , real *, integer *, real *, integer *, real *, integer *, real *,
00096 integer *, real *, real *, real *);
00097 logical equil;
00098 integer iuplo, izero, nerrs;
00099 extern int scopy_(integer *, real *, integer *, real *,
00100 integer *), spbsv_(char *, integer *, integer *, integer *, real *
00101 , integer *, real *, integer *, integer *), sswap_(
00102 integer *, real *, integer *, real *, integer *);
00103 logical zerot;
00104 char xtype[1];
00105 extern int slatb4_(char *, integer *, integer *, integer
00106 *, char *, integer *, integer *, real *, integer *, real *, char *
00107 ), aladhd_(integer *, char *),
00108 alaerh_(char *, char *, integer *, integer *, char *, integer *,
00109 integer *, integer *, integer *, integer *, integer *, integer *,
00110 integer *, integer *);
00111 logical prefac;
00112 real rcondc;
00113 extern doublereal slange_(char *, integer *, integer *, real *, integer *,
00114 real *);
00115 logical nofact;
00116 char packit[1];
00117 integer iequed;
00118 extern doublereal slansb_(char *, char *, integer *, integer *, real *,
00119 integer *, real *);
00120 real cndnum;
00121 extern int alasvm_(char *, integer *, integer *, integer
00122 *, integer *), slaqsb_(char *, integer *, integer *, real
00123 *, integer *, real *, real *, real *, char *);
00124 real ainvnm;
00125 extern int slacpy_(char *, integer *, integer *, real *,
00126 integer *, real *, integer *), slarhs_(char *, char *,
00127 char *, char *, integer *, integer *, integer *, integer *,
00128 integer *, real *, integer *, real *, integer *, real *, integer *
00129 , integer *, integer *), slaset_(
00130 char *, integer *, integer *, real *, real *, real *, integer *), spbequ_(char *, integer *, integer *, real *, integer *,
00131 real *, real *, real *, integer *), spbtrf_(char *,
00132 integer *, integer *, real *, integer *, integer *),
00133 xlaenv_(integer *, integer *), slatms_(integer *, integer *, char
00134 *, integer *, char *, real *, integer *, real *, real *, integer *
00135 , integer *, char *, real *, integer *, real *, integer *), spbtrs_(char *, integer *, integer *, integer *,
00136 real *, integer *, real *, integer *, integer *);
00137 real result[6];
00138 extern int spbsvx_(char *, char *, integer *, integer *,
00139 integer *, real *, integer *, real *, integer *, char *, real *,
00140 real *, integer *, real *, integer *, real *, real *, real *,
00141 real *, integer *, integer *), serrvx_(
00142 char *, integer *);
00143
00144
00145 static cilist io___57 = { 0, 0, 0, fmt_9999, 0 };
00146 static cilist io___60 = { 0, 0, 0, fmt_9997, 0 };
00147 static cilist io___61 = { 0, 0, 0, fmt_9998, 0 };
00148
00149
00150
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00237
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00239
00240
00241 --iwork;
00242 --rwork;
00243 --work;
00244 --s;
00245 --xact;
00246 --x;
00247 --bsav;
00248 --b;
00249 --asav;
00250 --afac;
00251 --a;
00252 --nval;
00253 --dotype;
00254
00255
00256
00257
00258
00259
00260
00261 s_copy(path, "Single precision", (ftnlen)1, (ftnlen)16);
00262 s_copy(path + 1, "PB", (ftnlen)2, (ftnlen)2);
00263 nrun = 0;
00264 nfail = 0;
00265 nerrs = 0;
00266 for (i__ = 1; i__ <= 4; ++i__) {
00267 iseed[i__ - 1] = iseedy[i__ - 1];
00268
00269 }
00270
00271
00272
00273 if (*tsterr) {
00274 serrvx_(path, nout);
00275 }
00276 infoc_1.infot = 0;
00277 kdval[0] = 0;
00278
00279
00280
00281 nb = 1;
00282 nbmin = 2;
00283 xlaenv_(&c__1, &nb);
00284 xlaenv_(&c__2, &nbmin);
00285
00286
00287
00288 i__1 = *nn;
00289 for (in = 1; in <= i__1; ++in) {
00290 n = nval[in];
00291 lda = max(n,1);
00292 *(unsigned char *)xtype = 'N';
00293
00294
00295
00296
00297 i__2 = 1, i__3 = min(n,4);
00298 nkd = max(i__2,i__3);
00299 nimat = 8;
00300 if (n == 0) {
00301 nimat = 1;
00302 }
00303
00304 kdval[1] = n + (n + 1) / 4;
00305 kdval[2] = (n * 3 - 1) / 4;
00306 kdval[3] = (n + 1) / 4;
00307
00308 i__2 = nkd;
00309 for (ikd = 1; ikd <= i__2; ++ikd) {
00310
00311
00312
00313
00314
00315 kd = kdval[ikd - 1];
00316 ldab = kd + 1;
00317
00318
00319
00320 for (iuplo = 1; iuplo <= 2; ++iuplo) {
00321 koff = 1;
00322 if (iuplo == 1) {
00323 *(unsigned char *)uplo = 'U';
00324 *(unsigned char *)packit = 'Q';
00325
00326 i__3 = 1, i__4 = kd + 2 - n;
00327 koff = max(i__3,i__4);
00328 } else {
00329 *(unsigned char *)uplo = 'L';
00330 *(unsigned char *)packit = 'B';
00331 }
00332
00333 i__3 = nimat;
00334 for (imat = 1; imat <= i__3; ++imat) {
00335
00336
00337
00338 if (! dotype[imat]) {
00339 goto L80;
00340 }
00341
00342
00343
00344 zerot = imat >= 2 && imat <= 4;
00345 if (zerot && n < imat - 1) {
00346 goto L80;
00347 }
00348
00349 if (! zerot || ! dotype[1]) {
00350
00351
00352
00353
00354 slatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm,
00355 &mode, &cndnum, dist);
00356
00357 s_copy(srnamc_1.srnamt, "SLATMS", (ftnlen)32, (ftnlen)
00358 6);
00359 slatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode,
00360 &cndnum, &anorm, &kd, &kd, packit, &a[koff],
00361 &ldab, &work[1], &info);
00362
00363
00364
00365 if (info != 0) {
00366 alaerh_(path, "SLATMS", &info, &c__0, uplo, &n, &
00367 n, &c_n1, &c_n1, &c_n1, &imat, &nfail, &
00368 nerrs, nout);
00369 goto L80;
00370 }
00371 } else if (izero > 0) {
00372
00373
00374
00375
00376 iw = (lda << 1) + 1;
00377 if (iuplo == 1) {
00378 ioff = (izero - 1) * ldab + kd + 1;
00379 i__4 = izero - i1;
00380 scopy_(&i__4, &work[iw], &c__1, &a[ioff - izero +
00381 i1], &c__1);
00382 iw = iw + izero - i1;
00383 i__4 = i2 - izero + 1;
00384
00385 i__6 = ldab - 1;
00386 i__5 = max(i__6,1);
00387 scopy_(&i__4, &work[iw], &c__1, &a[ioff], &i__5);
00388 } else {
00389 ioff = (i1 - 1) * ldab + 1;
00390 i__4 = izero - i1;
00391
00392 i__6 = ldab - 1;
00393 i__5 = max(i__6,1);
00394 scopy_(&i__4, &work[iw], &c__1, &a[ioff + izero -
00395 i1], &i__5);
00396 ioff = (izero - 1) * ldab + 1;
00397 iw = iw + izero - i1;
00398 i__4 = i2 - izero + 1;
00399 scopy_(&i__4, &work[iw], &c__1, &a[ioff], &c__1);
00400 }
00401 }
00402
00403
00404
00405
00406 izero = 0;
00407 if (zerot) {
00408 if (imat == 2) {
00409 izero = 1;
00410 } else if (imat == 3) {
00411 izero = n;
00412 } else {
00413 izero = n / 2 + 1;
00414 }
00415
00416
00417
00418 iw = lda << 1;
00419
00420 i__5 = (kd << 1) + 1;
00421 i__4 = min(i__5,n);
00422 for (i__ = 1; i__ <= i__4; ++i__) {
00423 work[iw + i__] = 0.f;
00424
00425 }
00426 ++iw;
00427
00428 i__4 = izero - kd;
00429 i1 = max(i__4,1);
00430
00431 i__4 = izero + kd;
00432 i2 = min(i__4,n);
00433
00434 if (iuplo == 1) {
00435 ioff = (izero - 1) * ldab + kd + 1;
00436 i__4 = izero - i1;
00437 sswap_(&i__4, &a[ioff - izero + i1], &c__1, &work[
00438 iw], &c__1);
00439 iw = iw + izero - i1;
00440 i__4 = i2 - izero + 1;
00441
00442 i__6 = ldab - 1;
00443 i__5 = max(i__6,1);
00444 sswap_(&i__4, &a[ioff], &i__5, &work[iw], &c__1);
00445 } else {
00446 ioff = (i1 - 1) * ldab + 1;
00447 i__4 = izero - i1;
00448
00449 i__6 = ldab - 1;
00450 i__5 = max(i__6,1);
00451 sswap_(&i__4, &a[ioff + izero - i1], &i__5, &work[
00452 iw], &c__1);
00453 ioff = (izero - 1) * ldab + 1;
00454 iw = iw + izero - i1;
00455 i__4 = i2 - izero + 1;
00456 sswap_(&i__4, &a[ioff], &c__1, &work[iw], &c__1);
00457 }
00458 }
00459
00460
00461
00462 i__4 = kd + 1;
00463 slacpy_("Full", &i__4, &n, &a[1], &ldab, &asav[1], &ldab);
00464
00465 for (iequed = 1; iequed <= 2; ++iequed) {
00466 *(unsigned char *)equed = *(unsigned char *)&equeds[
00467 iequed - 1];
00468 if (iequed == 1) {
00469 nfact = 3;
00470 } else {
00471 nfact = 1;
00472 }
00473
00474 i__4 = nfact;
00475 for (ifact = 1; ifact <= i__4; ++ifact) {
00476 *(unsigned char *)fact = *(unsigned char *)&facts[
00477 ifact - 1];
00478 prefac = lsame_(fact, "F");
00479 nofact = lsame_(fact, "N");
00480 equil = lsame_(fact, "E");
00481
00482 if (zerot) {
00483 if (prefac) {
00484 goto L60;
00485 }
00486 rcondc = 0.f;
00487
00488 } else if (! lsame_(fact, "N")) {
00489
00490
00491
00492
00493
00494
00495 i__5 = kd + 1;
00496 slacpy_("Full", &i__5, &n, &asav[1], &ldab, &
00497 afac[1], &ldab);
00498 if (equil || iequed > 1) {
00499
00500
00501
00502
00503 spbequ_(uplo, &n, &kd, &afac[1], &ldab, &
00504 s[1], &scond, &amax, &info);
00505 if (info == 0 && n > 0) {
00506 if (iequed > 1) {
00507 scond = 0.f;
00508 }
00509
00510
00511
00512 slaqsb_(uplo, &n, &kd, &afac[1], &
00513 ldab, &s[1], &scond, &amax,
00514 equed);
00515 }
00516 }
00517
00518
00519
00520
00521 if (equil) {
00522 roldc = rcondc;
00523 }
00524
00525
00526
00527 anorm = slansb_("1", uplo, &n, &kd, &afac[1],
00528 &ldab, &rwork[1]);
00529
00530
00531
00532 spbtrf_(uplo, &n, &kd, &afac[1], &ldab, &info);
00533
00534
00535
00536 slaset_("Full", &n, &n, &c_b45, &c_b46, &a[1],
00537 &lda);
00538 s_copy(srnamc_1.srnamt, "SPBTRS", (ftnlen)32,
00539 (ftnlen)6);
00540 spbtrs_(uplo, &n, &kd, &n, &afac[1], &ldab, &
00541 a[1], &lda, &info);
00542
00543
00544
00545 ainvnm = slange_("1", &n, &n, &a[1], &lda, &
00546 rwork[1]);
00547 if (anorm <= 0.f || ainvnm <= 0.f) {
00548 rcondc = 1.f;
00549 } else {
00550 rcondc = 1.f / anorm / ainvnm;
00551 }
00552 }
00553
00554
00555
00556 i__5 = kd + 1;
00557 slacpy_("Full", &i__5, &n, &asav[1], &ldab, &a[1],
00558 &ldab);
00559
00560
00561
00562
00563 s_copy(srnamc_1.srnamt, "SLARHS", (ftnlen)32, (
00564 ftnlen)6);
00565 slarhs_(path, xtype, uplo, " ", &n, &n, &kd, &kd,
00566 nrhs, &a[1], &ldab, &xact[1], &lda, &b[1],
00567 &lda, iseed, &info);
00568 *(unsigned char *)xtype = 'C';
00569 slacpy_("Full", &n, nrhs, &b[1], &lda, &bsav[1], &
00570 lda);
00571
00572 if (nofact) {
00573
00574
00575
00576
00577
00578
00579 i__5 = kd + 1;
00580 slacpy_("Full", &i__5, &n, &a[1], &ldab, &
00581 afac[1], &ldab);
00582 slacpy_("Full", &n, nrhs, &b[1], &lda, &x[1],
00583 &lda);
00584
00585 s_copy(srnamc_1.srnamt, "SPBSV ", (ftnlen)32,
00586 (ftnlen)6);
00587 spbsv_(uplo, &n, &kd, nrhs, &afac[1], &ldab, &
00588 x[1], &lda, &info);
00589
00590
00591
00592 if (info != izero) {
00593 alaerh_(path, "SPBSV ", &info, &izero,
00594 uplo, &n, &n, &kd, &kd, nrhs, &
00595 imat, &nfail, &nerrs, nout);
00596 goto L40;
00597 } else if (info != 0) {
00598 goto L40;
00599 }
00600
00601
00602
00603
00604 spbt01_(uplo, &n, &kd, &a[1], &ldab, &afac[1],
00605 &ldab, &rwork[1], result);
00606
00607
00608
00609 slacpy_("Full", &n, nrhs, &b[1], &lda, &work[
00610 1], &lda);
00611 spbt02_(uplo, &n, &kd, nrhs, &a[1], &ldab, &x[
00612 1], &lda, &work[1], &lda, &rwork[1], &
00613 result[1]);
00614
00615
00616
00617 sget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda,
00618 &rcondc, &result[2]);
00619 nt = 3;
00620
00621
00622
00623
00624 i__5 = nt;
00625 for (k = 1; k <= i__5; ++k) {
00626 if (result[k - 1] >= *thresh) {
00627 if (nfail == 0 && nerrs == 0) {
00628 aladhd_(nout, path);
00629 }
00630 io___57.ciunit = *nout;
00631 s_wsfe(&io___57);
00632 do_fio(&c__1, "SPBSV ", (ftnlen)6);
00633 do_fio(&c__1, uplo, (ftnlen)1);
00634 do_fio(&c__1, (char *)&n, (ftnlen)
00635 sizeof(integer));
00636 do_fio(&c__1, (char *)&kd, (ftnlen)
00637 sizeof(integer));
00638 do_fio(&c__1, (char *)&imat, (ftnlen)
00639 sizeof(integer));
00640 do_fio(&c__1, (char *)&k, (ftnlen)
00641 sizeof(integer));
00642 do_fio(&c__1, (char *)&result[k - 1],
00643 (ftnlen)sizeof(real));
00644 e_wsfe();
00645 ++nfail;
00646 }
00647
00648 }
00649 nrun += nt;
00650 L40:
00651 ;
00652 }
00653
00654
00655
00656 if (! prefac) {
00657 i__5 = kd + 1;
00658 slaset_("Full", &i__5, &n, &c_b45, &c_b45, &
00659 afac[1], &ldab);
00660 }
00661 slaset_("Full", &n, nrhs, &c_b45, &c_b45, &x[1], &
00662 lda);
00663 if (iequed > 1 && n > 0) {
00664
00665
00666
00667
00668 slaqsb_(uplo, &n, &kd, &a[1], &ldab, &s[1], &
00669 scond, &amax, equed);
00670 }
00671
00672
00673
00674
00675 s_copy(srnamc_1.srnamt, "SPBSVX", (ftnlen)32, (
00676 ftnlen)6);
00677 spbsvx_(fact, uplo, &n, &kd, nrhs, &a[1], &ldab, &
00678 afac[1], &ldab, equed, &s[1], &b[1], &lda,
00679 &x[1], &lda, &rcond, &rwork[1], &rwork[*
00680 nrhs + 1], &work[1], &iwork[1], &info);
00681
00682
00683
00684 if (info != izero) {
00685
00686 i__7[0] = 1, a__1[0] = fact;
00687 i__7[1] = 1, a__1[1] = uplo;
00688 s_cat(ch__1, a__1, i__7, &c__2, (ftnlen)2);
00689 alaerh_(path, "SPBSVX", &info, &izero, ch__1,
00690 &n, &n, &kd, &kd, nrhs, &imat, &nfail,
00691 &nerrs, nout);
00692 goto L60;
00693 }
00694
00695 if (info == 0) {
00696 if (! prefac) {
00697
00698
00699
00700
00701 spbt01_(uplo, &n, &kd, &a[1], &ldab, &
00702 afac[1], &ldab, &rwork[(*nrhs <<
00703 1) + 1], result);
00704 k1 = 1;
00705 } else {
00706 k1 = 2;
00707 }
00708
00709
00710
00711 slacpy_("Full", &n, nrhs, &bsav[1], &lda, &
00712 work[1], &lda);
00713 spbt02_(uplo, &n, &kd, nrhs, &asav[1], &ldab,
00714 &x[1], &lda, &work[1], &lda, &rwork[(*
00715 nrhs << 1) + 1], &result[1]);
00716
00717
00718
00719 if (nofact || prefac && lsame_(equed, "N")) {
00720 sget04_(&n, nrhs, &x[1], &lda, &xact[1], &
00721 lda, &rcondc, &result[2]);
00722 } else {
00723 sget04_(&n, nrhs, &x[1], &lda, &xact[1], &
00724 lda, &roldc, &result[2]);
00725 }
00726
00727
00728
00729
00730 spbt05_(uplo, &n, &kd, nrhs, &asav[1], &ldab,
00731 &b[1], &lda, &x[1], &lda, &xact[1], &
00732 lda, &rwork[1], &rwork[*nrhs + 1], &
00733 result[3]);
00734 } else {
00735 k1 = 6;
00736 }
00737
00738
00739
00740
00741 result[5] = sget06_(&rcond, &rcondc);
00742
00743
00744
00745
00746 for (k = k1; k <= 6; ++k) {
00747 if (result[k - 1] >= *thresh) {
00748 if (nfail == 0 && nerrs == 0) {
00749 aladhd_(nout, path);
00750 }
00751 if (prefac) {
00752 io___60.ciunit = *nout;
00753 s_wsfe(&io___60);
00754 do_fio(&c__1, "SPBSVX", (ftnlen)6);
00755 do_fio(&c__1, fact, (ftnlen)1);
00756 do_fio(&c__1, uplo, (ftnlen)1);
00757 do_fio(&c__1, (char *)&n, (ftnlen)
00758 sizeof(integer));
00759 do_fio(&c__1, (char *)&kd, (ftnlen)
00760 sizeof(integer));
00761 do_fio(&c__1, equed, (ftnlen)1);
00762 do_fio(&c__1, (char *)&imat, (ftnlen)
00763 sizeof(integer));
00764 do_fio(&c__1, (char *)&k, (ftnlen)
00765 sizeof(integer));
00766 do_fio(&c__1, (char *)&result[k - 1],
00767 (ftnlen)sizeof(real));
00768 e_wsfe();
00769 } else {
00770 io___61.ciunit = *nout;
00771 s_wsfe(&io___61);
00772 do_fio(&c__1, "SPBSVX", (ftnlen)6);
00773 do_fio(&c__1, fact, (ftnlen)1);
00774 do_fio(&c__1, uplo, (ftnlen)1);
00775 do_fio(&c__1, (char *)&n, (ftnlen)
00776 sizeof(integer));
00777 do_fio(&c__1, (char *)&kd, (ftnlen)
00778 sizeof(integer));
00779 do_fio(&c__1, (char *)&imat, (ftnlen)
00780 sizeof(integer));
00781 do_fio(&c__1, (char *)&k, (ftnlen)
00782 sizeof(integer));
00783 do_fio(&c__1, (char *)&result[k - 1],
00784 (ftnlen)sizeof(real));
00785 e_wsfe();
00786 }
00787 ++nfail;
00788 }
00789
00790 }
00791 nrun = nrun + 7 - k1;
00792 L60:
00793 ;
00794 }
00795
00796 }
00797 L80:
00798 ;
00799 }
00800
00801 }
00802
00803 }
00804
00805 }
00806
00807
00808
00809 alasvm_(path, nout, &nfail, &nrun, &nerrs);
00810
00811 return 0;
00812
00813
00814
00815 }