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00013 #include "f2c.h"
00014 #include "blaswrap.h"
00015
00016
00017
00018 struct {
00019 integer infot, iounit;
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 doublereal c_b14 = 0.;
00034 static doublereal c_b15 = 1.;
00035 static integer c__1 = 1;
00036 static integer c__0 = 0;
00037 static integer c__3 = 3;
00038 static integer c_n1 = -1;
00039 static integer c__6 = 6;
00040 static integer c__4 = 4;
00041 static integer c__7 = 7;
00042 static integer c__8 = 8;
00043
00044 int dchktb_(logical *dotype, integer *nn, integer *nval,
00045 integer *nns, integer *nsval, doublereal *thresh, logical *tsterr,
00046 integer *nmax, doublereal *ab, doublereal *ainv, doublereal *b,
00047 doublereal *x, doublereal *xact, doublereal *work, doublereal *rwork,
00048 integer *iwork, integer *nout)
00049 {
00050
00051
00052 static integer iseedy[4] = { 1988,1989,1990,1991 };
00053 static char uplos[1*2] = "U" "L";
00054 static char transs[1*3] = "N" "T" "C";
00055
00056
00057 static char fmt_9999[] = "(\002 UPLO='\002,a1,\002', TRANS='\002,a1,\002"
00058 "', DIAG='\002,a1,\002', N=\002,i5,\002, K"
00059 "D=\002,i5,\002, NRHS=\002,i5,\002, type \002,i2,\002, test(\002,"
00060 "i2,\002)=\002,g12.5)";
00061 static char fmt_9998[] = "(1x,a,\002( '\002,a1,\002', '\002,a1,\002', "
00062 "'\002,a1,\002',\002,i5,\002,\002,i5,\002, ... ), type \002,i2"
00063 ",\002, test(\002,i2,\002)=\002,g12.5)";
00064 static char fmt_9997[] = "(1x,a,\002( '\002,a1,\002', '\002,a1,\002', "
00065 "'\002,a1,\002', '\002,a1,\002',\002,i5,\002,\002,i5,\002, ... )"
00066 ", type \002,i2,\002, test(\002,i1,\002)=\002,g12.5)";
00067
00068
00069 address a__1[3], a__2[4];
00070 integer i__1, i__2, i__3, i__4, i__5, i__6[3], i__7[4];
00071 char ch__1[3], ch__2[4];
00072
00073
00074 int s_copy(char *, char *, ftnlen, ftnlen), s_cat(char *,
00075 char **, integer *, integer *, ftnlen);
00076 integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
00077
00078
00079 integer i__, j, k, n, kd, ik, in, nk, lda, ldab;
00080 char diag[1];
00081 integer imat, info;
00082 char path[3];
00083 integer irhs, nrhs;
00084 char norm[1], uplo[1];
00085 integer nrun;
00086 extern int alahd_(integer *, char *);
00087 integer idiag;
00088 doublereal scale;
00089 extern int dget04_(integer *, integer *, doublereal *,
00090 integer *, doublereal *, integer *, doublereal *, doublereal *);
00091 integer nfail, iseed[4];
00092 extern int dtbt02_(char *, char *, char *, integer *,
00093 integer *, integer *, doublereal *, integer *, doublereal *,
00094 integer *, doublereal *, integer *, doublereal *, doublereal *), dtbt03_(char *, char *, char *, integer *
00095 , integer *, integer *, doublereal *, integer *, doublereal *,
00096 doublereal *, doublereal *, doublereal *, integer *, doublereal *,
00097 integer *, doublereal *, doublereal *);
00098 extern logical lsame_(char *, char *);
00099 extern int dtbt05_(char *, char *, char *, integer *,
00100 integer *, integer *, doublereal *, integer *, doublereal *,
00101 integer *, doublereal *, integer *, doublereal *, integer *,
00102 doublereal *, doublereal *, doublereal *),
00103 dtbt06_(doublereal *, doublereal *, char *, char *, integer *,
00104 integer *, doublereal *, integer *, doublereal *, doublereal *);
00105 doublereal rcond;
00106 integer nimat;
00107 doublereal anorm;
00108 integer itran;
00109 extern int dcopy_(integer *, doublereal *, integer *,
00110 doublereal *, integer *), dtbsv_(char *, char *, char *, integer *
00111 , integer *, doublereal *, integer *, doublereal *, integer *);
00112 char trans[1];
00113 integer iuplo, nerrs;
00114 char xtype[1];
00115 integer nimat2;
00116 extern int alaerh_(char *, char *, integer *, integer *,
00117 char *, integer *, integer *, integer *, integer *, integer *,
00118 integer *, integer *, integer *, integer *);
00119 extern doublereal dlantb_(char *, char *, char *, integer *, integer *,
00120 doublereal *, integer *, doublereal *);
00121 doublereal rcondc;
00122 extern int dlatbs_(char *, char *, char *, char *,
00123 integer *, integer *, doublereal *, integer *, doublereal *,
00124 doublereal *, doublereal *, integer *), dlattb_(integer *, char *, char *, char *, integer *,
00125 integer *, integer *, doublereal *, integer *, doublereal *,
00126 doublereal *, integer *), dtbcon_(char *,
00127 char *, char *, integer *, integer *, doublereal *, integer *,
00128 doublereal *, doublereal *, integer *, integer *), dlacpy_(char *, integer *, integer *, doublereal *,
00129 integer *, doublereal *, integer *), dlarhs_(char *, char
00130 *, char *, char *, integer *, integer *, integer *, integer *,
00131 integer *, doublereal *, integer *, doublereal *, integer *,
00132 doublereal *, integer *, integer *, integer *);
00133 doublereal rcondi;
00134 extern int dlaset_(char *, integer *, integer *,
00135 doublereal *, doublereal *, doublereal *, integer *),
00136 alasum_(char *, integer *, integer *, integer *, integer *);
00137 doublereal rcondo;
00138 extern doublereal dlantr_(char *, char *, char *, integer *, integer *,
00139 doublereal *, integer *, doublereal *);
00140 extern int dtbrfs_(char *, char *, char *, integer *,
00141 integer *, integer *, doublereal *, integer *, doublereal *,
00142 integer *, doublereal *, integer *, doublereal *, doublereal *,
00143 doublereal *, integer *, integer *);
00144 doublereal ainvnm;
00145 extern int derrtr_(char *, integer *), dtbtrs_(
00146 char *, char *, char *, integer *, integer *, integer *,
00147 doublereal *, integer *, doublereal *, integer *, integer *);
00148 doublereal result[8];
00149
00150
00151 static cilist io___39 = { 0, 0, 0, fmt_9999, 0 };
00152 static cilist io___41 = { 0, 0, 0, fmt_9998, 0 };
00153 static cilist io___43 = { 0, 0, 0, fmt_9997, 0 };
00154 static cilist io___44 = { 0, 0, 0, fmt_9997, 0 };
00155
00156
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00242
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00244
00245
00246 --iwork;
00247 --rwork;
00248 --work;
00249 --xact;
00250 --x;
00251 --b;
00252 --ainv;
00253 --ab;
00254 --nsval;
00255 --nval;
00256 --dotype;
00257
00258
00259
00260
00261
00262
00263
00264 s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16);
00265 s_copy(path + 1, "TB", (ftnlen)2, (ftnlen)2);
00266 nrun = 0;
00267 nfail = 0;
00268 nerrs = 0;
00269 for (i__ = 1; i__ <= 4; ++i__) {
00270 iseed[i__ - 1] = iseedy[i__ - 1];
00271
00272 }
00273
00274
00275
00276 if (*tsterr) {
00277 derrtr_(path, nout);
00278 }
00279 infoc_1.infot = 0;
00280
00281 i__1 = *nn;
00282 for (in = 1; in <= i__1; ++in) {
00283
00284
00285
00286 n = nval[in];
00287 lda = max(1,n);
00288 *(unsigned char *)xtype = 'N';
00289 nimat = 9;
00290 nimat2 = 17;
00291 if (n <= 0) {
00292 nimat = 1;
00293 nimat2 = 10;
00294 }
00295
00296
00297 i__2 = n + 1;
00298 nk = min(i__2,4);
00299 i__2 = nk;
00300 for (ik = 1; ik <= i__2; ++ik) {
00301
00302
00303
00304
00305 if (ik == 1) {
00306 kd = 0;
00307 } else if (ik == 2) {
00308 kd = max(n,0);
00309 } else if (ik == 3) {
00310 kd = (n * 3 - 1) / 4;
00311 } else if (ik == 4) {
00312 kd = (n + 1) / 4;
00313 }
00314 ldab = kd + 1;
00315
00316 i__3 = nimat;
00317 for (imat = 1; imat <= i__3; ++imat) {
00318
00319
00320
00321 if (! dotype[imat]) {
00322 goto L90;
00323 }
00324
00325 for (iuplo = 1; iuplo <= 2; ++iuplo) {
00326
00327
00328
00329 *(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo -
00330 1];
00331
00332
00333
00334 s_copy(srnamc_1.srnamt, "DLATTB", (ftnlen)32, (ftnlen)6);
00335 dlattb_(&imat, uplo, "No transpose", diag, iseed, &n, &kd,
00336 &ab[1], &ldab, &x[1], &work[1], &info);
00337
00338
00339
00340 if (lsame_(diag, "N")) {
00341 idiag = 1;
00342 } else {
00343 idiag = 2;
00344 }
00345
00346
00347
00348
00349 dlaset_("Full", &n, &n, &c_b14, &c_b15, &ainv[1], &lda);
00350 if (lsame_(uplo, "U")) {
00351 i__4 = n;
00352 for (j = 1; j <= i__4; ++j) {
00353 dtbsv_(uplo, "No transpose", diag, &j, &kd, &ab[1]
00354 , &ldab, &ainv[(j - 1) * lda + 1], &c__1);
00355
00356 }
00357 } else {
00358 i__4 = n;
00359 for (j = 1; j <= i__4; ++j) {
00360 i__5 = n - j + 1;
00361 dtbsv_(uplo, "No transpose", diag, &i__5, &kd, &
00362 ab[(j - 1) * ldab + 1], &ldab, &ainv[(j -
00363 1) * lda + j], &c__1);
00364
00365 }
00366 }
00367
00368
00369
00370 anorm = dlantb_("1", uplo, diag, &n, &kd, &ab[1], &ldab, &
00371 rwork[1]);
00372 ainvnm = dlantr_("1", uplo, diag, &n, &n, &ainv[1], &lda,
00373 &rwork[1]);
00374 if (anorm <= 0. || ainvnm <= 0.) {
00375 rcondo = 1.;
00376 } else {
00377 rcondo = 1. / anorm / ainvnm;
00378 }
00379
00380
00381
00382 anorm = dlantb_("I", uplo, diag, &n, &kd, &ab[1], &ldab, &
00383 rwork[1]);
00384 ainvnm = dlantr_("I", uplo, diag, &n, &n, &ainv[1], &lda,
00385 &rwork[1]);
00386 if (anorm <= 0. || ainvnm <= 0.) {
00387 rcondi = 1.;
00388 } else {
00389 rcondi = 1. / anorm / ainvnm;
00390 }
00391
00392 i__4 = *nns;
00393 for (irhs = 1; irhs <= i__4; ++irhs) {
00394 nrhs = nsval[irhs];
00395 *(unsigned char *)xtype = 'N';
00396
00397 for (itran = 1; itran <= 3; ++itran) {
00398
00399
00400
00401 *(unsigned char *)trans = *(unsigned char *)&
00402 transs[itran - 1];
00403 if (itran == 1) {
00404 *(unsigned char *)norm = 'O';
00405 rcondc = rcondo;
00406 } else {
00407 *(unsigned char *)norm = 'I';
00408 rcondc = rcondi;
00409 }
00410
00411
00412
00413
00414 s_copy(srnamc_1.srnamt, "DLARHS", (ftnlen)32, (
00415 ftnlen)6);
00416 dlarhs_(path, xtype, uplo, trans, &n, &n, &kd, &
00417 idiag, &nrhs, &ab[1], &ldab, &xact[1], &
00418 lda, &b[1], &lda, iseed, &info);
00419 *(unsigned char *)xtype = 'C';
00420 dlacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &
00421 lda);
00422
00423 s_copy(srnamc_1.srnamt, "DTBTRS", (ftnlen)32, (
00424 ftnlen)6);
00425 dtbtrs_(uplo, trans, diag, &n, &kd, &nrhs, &ab[1],
00426 &ldab, &x[1], &lda, &info);
00427
00428
00429
00430 if (info != 0) {
00431
00432 i__6[0] = 1, a__1[0] = uplo;
00433 i__6[1] = 1, a__1[1] = trans;
00434 i__6[2] = 1, a__1[2] = diag;
00435 s_cat(ch__1, a__1, i__6, &c__3, (ftnlen)3);
00436 alaerh_(path, "DTBTRS", &info, &c__0, ch__1, &
00437 n, &n, &kd, &kd, &nrhs, &imat, &nfail,
00438 &nerrs, nout);
00439 }
00440
00441 dtbt02_(uplo, trans, diag, &n, &kd, &nrhs, &ab[1],
00442 &ldab, &x[1], &lda, &b[1], &lda, &work[1]
00443 , result)
00444 ;
00445
00446
00447
00448
00449 dget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
00450 rcondc, &result[1]);
00451
00452
00453
00454
00455
00456 s_copy(srnamc_1.srnamt, "DTBRFS", (ftnlen)32, (
00457 ftnlen)6);
00458 dtbrfs_(uplo, trans, diag, &n, &kd, &nrhs, &ab[1],
00459 &ldab, &b[1], &lda, &x[1], &lda, &rwork[
00460 1], &rwork[nrhs + 1], &work[1], &iwork[1],
00461 &info);
00462
00463
00464
00465 if (info != 0) {
00466
00467 i__6[0] = 1, a__1[0] = uplo;
00468 i__6[1] = 1, a__1[1] = trans;
00469 i__6[2] = 1, a__1[2] = diag;
00470 s_cat(ch__1, a__1, i__6, &c__3, (ftnlen)3);
00471 alaerh_(path, "DTBRFS", &info, &c__0, ch__1, &
00472 n, &n, &kd, &kd, &nrhs, &imat, &nfail,
00473 &nerrs, nout);
00474 }
00475
00476 dget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
00477 rcondc, &result[2]);
00478 dtbt05_(uplo, trans, diag, &n, &kd, &nrhs, &ab[1],
00479 &ldab, &b[1], &lda, &x[1], &lda, &xact[1]
00480 , &lda, &rwork[1], &rwork[nrhs + 1], &
00481 result[3]);
00482
00483
00484
00485
00486 for (k = 1; k <= 5; ++k) {
00487 if (result[k - 1] >= *thresh) {
00488 if (nfail == 0 && nerrs == 0) {
00489 alahd_(nout, path);
00490 }
00491 io___39.ciunit = *nout;
00492 s_wsfe(&io___39);
00493 do_fio(&c__1, uplo, (ftnlen)1);
00494 do_fio(&c__1, trans, (ftnlen)1);
00495 do_fio(&c__1, diag, (ftnlen)1);
00496 do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
00497 integer));
00498 do_fio(&c__1, (char *)&kd, (ftnlen)sizeof(
00499 integer));
00500 do_fio(&c__1, (char *)&nrhs, (ftnlen)
00501 sizeof(integer));
00502 do_fio(&c__1, (char *)&imat, (ftnlen)
00503 sizeof(integer));
00504 do_fio(&c__1, (char *)&k, (ftnlen)sizeof(
00505 integer));
00506 do_fio(&c__1, (char *)&result[k - 1], (
00507 ftnlen)sizeof(doublereal));
00508 e_wsfe();
00509 ++nfail;
00510 }
00511
00512 }
00513 nrun += 5;
00514
00515 }
00516
00517 }
00518
00519
00520
00521
00522 for (itran = 1; itran <= 2; ++itran) {
00523 if (itran == 1) {
00524 *(unsigned char *)norm = 'O';
00525 rcondc = rcondo;
00526 } else {
00527 *(unsigned char *)norm = 'I';
00528 rcondc = rcondi;
00529 }
00530 s_copy(srnamc_1.srnamt, "DTBCON", (ftnlen)32, (ftnlen)
00531 6);
00532 dtbcon_(norm, uplo, diag, &n, &kd, &ab[1], &ldab, &
00533 rcond, &work[1], &iwork[1], &info);
00534
00535
00536
00537 if (info != 0) {
00538
00539 i__6[0] = 1, a__1[0] = norm;
00540 i__6[1] = 1, a__1[1] = uplo;
00541 i__6[2] = 1, a__1[2] = diag;
00542 s_cat(ch__1, a__1, i__6, &c__3, (ftnlen)3);
00543 alaerh_(path, "DTBCON", &info, &c__0, ch__1, &n, &
00544 n, &kd, &kd, &c_n1, &imat, &nfail, &nerrs,
00545 nout);
00546 }
00547
00548 dtbt06_(&rcond, &rcondc, uplo, diag, &n, &kd, &ab[1],
00549 &ldab, &rwork[1], &result[5]);
00550
00551
00552
00553
00554 if (result[5] >= *thresh) {
00555 if (nfail == 0 && nerrs == 0) {
00556 alahd_(nout, path);
00557 }
00558 io___41.ciunit = *nout;
00559 s_wsfe(&io___41);
00560 do_fio(&c__1, "DTBCON", (ftnlen)6);
00561 do_fio(&c__1, norm, (ftnlen)1);
00562 do_fio(&c__1, uplo, (ftnlen)1);
00563 do_fio(&c__1, diag, (ftnlen)1);
00564 do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
00565 ;
00566 do_fio(&c__1, (char *)&kd, (ftnlen)sizeof(integer)
00567 );
00568 do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
00569 integer));
00570 do_fio(&c__1, (char *)&c__6, (ftnlen)sizeof(
00571 integer));
00572 do_fio(&c__1, (char *)&result[5], (ftnlen)sizeof(
00573 doublereal));
00574 e_wsfe();
00575 ++nfail;
00576 }
00577 ++nrun;
00578
00579 }
00580
00581 }
00582 L90:
00583 ;
00584 }
00585
00586
00587
00588 i__3 = nimat2;
00589 for (imat = 10; imat <= i__3; ++imat) {
00590
00591
00592
00593 if (! dotype[imat]) {
00594 goto L120;
00595 }
00596
00597 for (iuplo = 1; iuplo <= 2; ++iuplo) {
00598
00599
00600
00601 *(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo -
00602 1];
00603 for (itran = 1; itran <= 3; ++itran) {
00604
00605
00606
00607 *(unsigned char *)trans = *(unsigned char *)&transs[
00608 itran - 1];
00609
00610
00611
00612 s_copy(srnamc_1.srnamt, "DLATTB", (ftnlen)32, (ftnlen)
00613 6);
00614 dlattb_(&imat, uplo, trans, diag, iseed, &n, &kd, &ab[
00615 1], &ldab, &x[1], &work[1], &info);
00616
00617
00618
00619
00620 s_copy(srnamc_1.srnamt, "DLATBS", (ftnlen)32, (ftnlen)
00621 6);
00622 dcopy_(&n, &x[1], &c__1, &b[1], &c__1);
00623 dlatbs_(uplo, trans, diag, "N", &n, &kd, &ab[1], &
00624 ldab, &b[1], &scale, &rwork[1], &info);
00625
00626
00627
00628 if (info != 0) {
00629
00630 i__7[0] = 1, a__2[0] = uplo;
00631 i__7[1] = 1, a__2[1] = trans;
00632 i__7[2] = 1, a__2[2] = diag;
00633 i__7[3] = 1, a__2[3] = "N";
00634 s_cat(ch__2, a__2, i__7, &c__4, (ftnlen)4);
00635 alaerh_(path, "DLATBS", &info, &c__0, ch__2, &n, &
00636 n, &kd, &kd, &c_n1, &imat, &nfail, &nerrs,
00637 nout);
00638 }
00639
00640 dtbt03_(uplo, trans, diag, &n, &kd, &c__1, &ab[1], &
00641 ldab, &scale, &rwork[1], &c_b15, &b[1], &lda,
00642 &x[1], &lda, &work[1], &result[6]);
00643
00644
00645
00646
00647 dcopy_(&n, &x[1], &c__1, &b[1], &c__1);
00648 dlatbs_(uplo, trans, diag, "Y", &n, &kd, &ab[1], &
00649 ldab, &b[1], &scale, &rwork[1], &info);
00650
00651
00652
00653 if (info != 0) {
00654
00655 i__7[0] = 1, a__2[0] = uplo;
00656 i__7[1] = 1, a__2[1] = trans;
00657 i__7[2] = 1, a__2[2] = diag;
00658 i__7[3] = 1, a__2[3] = "Y";
00659 s_cat(ch__2, a__2, i__7, &c__4, (ftnlen)4);
00660 alaerh_(path, "DLATBS", &info, &c__0, ch__2, &n, &
00661 n, &kd, &kd, &c_n1, &imat, &nfail, &nerrs,
00662 nout);
00663 }
00664
00665 dtbt03_(uplo, trans, diag, &n, &kd, &c__1, &ab[1], &
00666 ldab, &scale, &rwork[1], &c_b15, &b[1], &lda,
00667 &x[1], &lda, &work[1], &result[7]);
00668
00669
00670
00671
00672 if (result[6] >= *thresh) {
00673 if (nfail == 0 && nerrs == 0) {
00674 alahd_(nout, path);
00675 }
00676 io___43.ciunit = *nout;
00677 s_wsfe(&io___43);
00678 do_fio(&c__1, "DLATBS", (ftnlen)6);
00679 do_fio(&c__1, uplo, (ftnlen)1);
00680 do_fio(&c__1, trans, (ftnlen)1);
00681 do_fio(&c__1, diag, (ftnlen)1);
00682 do_fio(&c__1, "N", (ftnlen)1);
00683 do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
00684 ;
00685 do_fio(&c__1, (char *)&kd, (ftnlen)sizeof(integer)
00686 );
00687 do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
00688 integer));
00689 do_fio(&c__1, (char *)&c__7, (ftnlen)sizeof(
00690 integer));
00691 do_fio(&c__1, (char *)&result[6], (ftnlen)sizeof(
00692 doublereal));
00693 e_wsfe();
00694 ++nfail;
00695 }
00696 if (result[7] >= *thresh) {
00697 if (nfail == 0 && nerrs == 0) {
00698 alahd_(nout, path);
00699 }
00700 io___44.ciunit = *nout;
00701 s_wsfe(&io___44);
00702 do_fio(&c__1, "DLATBS", (ftnlen)6);
00703 do_fio(&c__1, uplo, (ftnlen)1);
00704 do_fio(&c__1, trans, (ftnlen)1);
00705 do_fio(&c__1, diag, (ftnlen)1);
00706 do_fio(&c__1, "Y", (ftnlen)1);
00707 do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
00708 ;
00709 do_fio(&c__1, (char *)&kd, (ftnlen)sizeof(integer)
00710 );
00711 do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
00712 integer));
00713 do_fio(&c__1, (char *)&c__8, (ftnlen)sizeof(
00714 integer));
00715 do_fio(&c__1, (char *)&result[7], (ftnlen)sizeof(
00716 doublereal));
00717 e_wsfe();
00718 ++nfail;
00719 }
00720 nrun += 2;
00721
00722 }
00723
00724 }
00725 L120:
00726 ;
00727 }
00728
00729 }
00730
00731 }
00732
00733
00734
00735 alasum_(path, nout, &nfail, &nrun, &nerrs);
00736
00737 return 0;
00738
00739
00740
00741 }