#include "blaswrap.h" /* -- translated by f2c (version 19990503). You must link the resulting object file with the libraries: -lf2c -lm (in that order) */ #include "f2c.h" /* Common Block Declarations */ struct { integer infot, nunit; logical ok, lerr; } infoc_; #define infoc_1 infoc_ struct { char srnamt[6]; } srnamc_; #define srnamc_1 srnamc_ /* Table of constant values */ static integer c__1 = 1; static integer c__2 = 2; static integer c__0 = 0; static integer c_n1 = -1; static doublecomplex c_b48 = {0.,0.}; static doublecomplex c_b49 = {1.,0.}; static integer c__6 = 6; static integer c__7 = 7; /* Subroutine */ int zdrvgb_(logical *dotype, integer *nn, integer *nval, integer *nrhs, doublereal *thresh, logical *tsterr, doublecomplex *a, integer *la, doublecomplex *afb, integer *lafb, doublecomplex *asav, doublecomplex *b, doublecomplex *bsav, doublecomplex *x, doublecomplex *xact, doublereal *s, doublecomplex *work, doublereal * rwork, integer *iwork, integer *nout) { /* Initialized data */ static integer iseedy[4] = { 1988,1989,1990,1991 }; static char transs[1*3] = "N" "T" "C"; static char facts[1*3] = "F" "N" "E"; static char equeds[1*4] = "N" "R" "C" "B"; /* Format strings */ static char fmt_9999[] = "(\002 *** In ZDRVGB, LA=\002,i5,\002 is too sm" "all for N=\002,i5,\002, KU=\002,i5,\002, KL=\002,i5,/\002 ==> In" "crease LA to at least \002,i5)"; static char fmt_9998[] = "(\002 *** In ZDRVGB, LAFB=\002,i5,\002 is too " "small for N=\002,i5,\002, KU=\002,i5,\002, KL=\002,i5,/\002 ==> " "Increase LAFB to at least \002,i5)"; static char fmt_9997[] = "(1x,a6,\002, N=\002,i5,\002, KL=\002,i5,\002, " "KU=\002,i5,\002, type \002,i1,\002, test(\002,i1,\002)=\002,g12." "5)"; static char fmt_9995[] = "(1x,a6,\002( '\002,a1,\002','\002,a1,\002'," "\002,i5,\002,\002,i5,\002,\002,i5,\002,...), EQUED='\002,a1,\002" "', type \002,i1,\002, test(\002,i1,\002)=\002,g12.5)"; static char fmt_9996[] = "(1x,a6,\002( '\002,a1,\002','\002,a1,\002'," "\002,i5,\002,\002,i5,\002,\002,i5,\002,...), type \002,i1,\002, " "test(\002,i1,\002)=\002,g12.5)"; /* System generated locals */ address a__1[2]; integer i__1, i__2, i__3, i__4, i__5, i__6, i__7, i__8, i__9, i__10, i__11[2]; doublereal d__1, d__2; char ch__1[2]; /* Builtin functions Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen); integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void); /* Subroutine */ int s_cat(char *, char **, integer *, integer *, ftnlen); double z_abs(doublecomplex *); /* Local variables */ static char fact[1]; static integer ioff, mode; static doublereal amax; static char path[3]; static integer imat, info; static char dist[1]; static doublereal rdum[1]; static char type__[1]; static integer nrun, ldafb, i__, j, k, n, ifact, nfail, iseed[4], nfact; extern doublereal dget06_(doublereal *, doublereal *); extern logical lsame_(char *, char *); static char equed[1]; static integer nbmin; static doublereal rcond, roldc; extern /* Subroutine */ int zgbt01_(integer *, integer *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, integer *, doublecomplex *, doublereal *); static integer nimat; static doublereal roldi; extern /* Subroutine */ int zgbt02_(char *, integer *, integer *, integer *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublereal *), zgbt05_(char *, integer *, integer *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, integer * , doublereal *, doublereal *, doublereal *); static doublereal anorm; static integer itran; extern /* Subroutine */ int zget04_(integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublereal *, doublereal * ); static logical equil; static doublereal roldo; static char trans[1]; static integer izero, nerrs, i1, i2, k1; extern /* Subroutine */ int zgbsv_(integer *, integer *, integer *, integer *, doublecomplex *, integer *, integer *, doublecomplex *, integer *, integer *); static logical zerot; static char xtype[1]; extern /* Subroutine */ int zlatb4_(char *, integer *, integer *, integer *, char *, integer *, integer *, doublereal *, integer *, doublereal *, char *), aladhd_(integer *, char *); static integer nb, in, kl; extern doublereal dlamch_(char *); extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *, char *, integer *, integer *, integer *, integer *, integer *, integer *, integer *, integer *, integer *); static logical prefac; static integer ku, nt; static doublereal colcnd, rcondc; static logical nofact; static integer iequed; extern doublereal zlangb_(char *, integer *, integer *, integer *, doublecomplex *, integer *, doublereal *); static doublereal rcondi; extern doublereal zlange_(char *, integer *, integer *, doublecomplex *, integer *, doublereal *); extern /* Subroutine */ int zlaqgb_(integer *, integer *, integer *, integer *, doublecomplex *, integer *, doublereal *, doublereal *, doublereal *, doublereal *, doublereal *, char *), alasvm_(char *, integer *, integer *, integer *, integer *); static doublereal cndnum, anormi, rcondo, ainvnm; extern doublereal zlantb_(char *, char *, char *, integer *, integer *, doublecomplex *, integer *, doublereal *); static logical trfcon; static doublereal anormo, rowcnd; extern /* Subroutine */ int xlaenv_(integer *, integer *), zgbequ_( integer *, integer *, integer *, integer *, doublecomplex *, integer *, doublereal *, doublereal *, doublereal *, doublereal *, doublereal *, integer *), zgbtrf_(integer *, integer *, integer * , integer *, doublecomplex *, integer *, integer *, integer *); static doublereal anrmpv; extern /* Subroutine */ int zlacpy_(char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *), zlarhs_(char *, char *, char *, char *, integer *, integer *, integer *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, integer *, integer *), zlaset_(char *, integer *, integer *, doublecomplex *, doublecomplex *, doublecomplex *, integer *), zgbtrs_(char *, integer *, integer *, integer *, integer *, doublecomplex *, integer *, integer *, doublecomplex *, integer *, integer *), zlatms_(integer *, integer *, char *, integer *, char *, doublereal *, integer *, doublereal *, doublereal *, integer *, integer *, char *, doublecomplex *, integer *, doublecomplex *, integer *); static doublereal result[7]; extern /* Subroutine */ int zgbsvx_(char *, char *, integer *, integer *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, integer *, char *, doublereal *, doublereal *, doublecomplex *, integer *, doublecomplex *, integer *, doublereal *, doublereal *, doublereal *, doublecomplex *, doublereal *, integer *); static doublereal rpvgrw; extern /* Subroutine */ int zerrvx_(char *, integer *); static integer lda, ldb, ikl, nkl, iku, nku; /* Fortran I/O blocks */ static cilist io___26 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___27 = { 0, 0, 0, fmt_9998, 0 }; static cilist io___65 = { 0, 0, 0, fmt_9997, 0 }; static cilist io___73 = { 0, 0, 0, fmt_9995, 0 }; static cilist io___74 = { 0, 0, 0, fmt_9996, 0 }; static cilist io___75 = { 0, 0, 0, fmt_9995, 0 }; static cilist io___76 = { 0, 0, 0, fmt_9996, 0 }; static cilist io___77 = { 0, 0, 0, fmt_9995, 0 }; static cilist io___78 = { 0, 0, 0, fmt_9996, 0 }; static cilist io___79 = { 0, 0, 0, fmt_9995, 0 }; static cilist io___80 = { 0, 0, 0, fmt_9996, 0 }; /* -- LAPACK test routine (version 3.0) -- Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., Courant Institute, Argonne National Lab, and Rice University June 30, 1999 Purpose ======= ZDRVGB tests the driver routines ZGBSV and -SVX. Arguments ========= DOTYPE (input) LOGICAL array, dimension (NTYPES) The matrix types to be used for testing. Matrices of type j (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) = .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used. NN (input) INTEGER The number of values of N contained in the vector NVAL. NVAL (input) INTEGER array, dimension (NN) The values of the matrix column dimension N. NRHS (input) INTEGER The number of right hand side vectors to be generated for each linear system. THRESH (input) DOUBLE PRECISION The threshold value for the test ratios. A result is included in the output file if RESULT >= THRESH. To have every test ratio printed, use THRESH = 0. TSTERR (input) LOGICAL Flag that indicates whether error exits are to be tested. A (workspace) COMPLEX*16 array, dimension (LA) LA (input) INTEGER The length of the array A. LA >= (2*NMAX-1)*NMAX where NMAX is the largest entry in NVAL. AFB (workspace) COMPLEX*16 array, dimension (LAFB) LAFB (input) INTEGER The length of the array AFB. LAFB >= (3*NMAX-2)*NMAX where NMAX is the largest entry in NVAL. ASAV (workspace) COMPLEX*16 array, dimension (LA) B (workspace) COMPLEX*16 array, dimension (NMAX*NRHS) BSAV (workspace) COMPLEX*16 array, dimension (NMAX*NRHS) X (workspace) COMPLEX*16 array, dimension (NMAX*NRHS) XACT (workspace) COMPLEX*16 array, dimension (NMAX*NRHS) S (workspace) DOUBLE PRECISION array, dimension (2*NMAX) WORK (workspace) COMPLEX*16 array, dimension (NMAX*max(3,NRHS,NMAX)) RWORK (workspace) DOUBLE PRECISION array, dimension (max(NMAX,2*NRHS)) IWORK (workspace) INTEGER array, dimension (NMAX) NOUT (input) INTEGER The unit number for output. ===================================================================== Parameter adjustments */ --iwork; --rwork; --work; --s; --xact; --x; --bsav; --b; --asav; --afb; --a; --nval; --dotype; /* Function Body Initialize constants and the random number seed. */ s_copy(path, "Zomplex precision", (ftnlen)1, (ftnlen)17); s_copy(path + 1, "GB", (ftnlen)2, (ftnlen)2); nrun = 0; nfail = 0; nerrs = 0; for (i__ = 1; i__ <= 4; ++i__) { iseed[i__ - 1] = iseedy[i__ - 1]; /* L10: */ } /* Test the error exits */ if (*tsterr) { zerrvx_(path, nout); } infoc_1.infot = 0; /* Set the block size and minimum block size for testing. */ nb = 1; nbmin = 2; xlaenv_(&c__1, &nb); xlaenv_(&c__2, &nbmin); /* Do for each value of N in NVAL */ i__1 = *nn; for (in = 1; in <= i__1; ++in) { n = nval[in]; ldb = max(n,1); *(unsigned char *)xtype = 'N'; /* Set limits on the number of loop iterations. Computing MAX */ i__2 = 1, i__3 = min(n,4); nkl = max(i__2,i__3); if (n == 0) { nkl = 1; } nku = nkl; nimat = 8; if (n <= 0) { nimat = 1; } i__2 = nkl; for (ikl = 1; ikl <= i__2; ++ikl) { /* Do for KL = 0, N-1, (3N-1)/4, and (N+1)/4. This order makes it easier to skip redundant values for small values of N. */ if (ikl == 1) { kl = 0; } else if (ikl == 2) { /* Computing MAX */ i__3 = n - 1; kl = max(i__3,0); } else if (ikl == 3) { kl = (n * 3 - 1) / 4; } else if (ikl == 4) { kl = (n + 1) / 4; } i__3 = nku; for (iku = 1; iku <= i__3; ++iku) { /* Do for KU = 0, N-1, (3N-1)/4, and (N+1)/4. This order makes it easier to skip redundant values for small values of N. */ if (iku == 1) { ku = 0; } else if (iku == 2) { /* Computing MAX */ i__4 = n - 1; ku = max(i__4,0); } else if (iku == 3) { ku = (n * 3 - 1) / 4; } else if (iku == 4) { ku = (n + 1) / 4; } /* Check that A and AFB are big enough to generate this matrix. */ lda = kl + ku + 1; ldafb = (kl << 1) + ku + 1; if (lda * n > *la || ldafb * n > *lafb) { if (nfail == 0 && nerrs == 0) { aladhd_(nout, path); } if (lda * n > *la) { io___26.ciunit = *nout; s_wsfe(&io___26); do_fio(&c__1, (char *)&(*la), (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&kl, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&ku, (ftnlen)sizeof(integer)); i__4 = n * (kl + ku + 1); do_fio(&c__1, (char *)&i__4, (ftnlen)sizeof(integer)); e_wsfe(); ++nerrs; } if (ldafb * n > *lafb) { io___27.ciunit = *nout; s_wsfe(&io___27); do_fio(&c__1, (char *)&(*lafb), (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&kl, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&ku, (ftnlen)sizeof(integer)); i__4 = n * ((kl << 1) + ku + 1); do_fio(&c__1, (char *)&i__4, (ftnlen)sizeof(integer)); e_wsfe(); ++nerrs; } goto L130; } i__4 = nimat; for (imat = 1; imat <= i__4; ++imat) { /* Do the tests only if DOTYPE( IMAT ) is true. */ if (! dotype[imat]) { goto L120; } /* Skip types 2, 3, or 4 if the matrix is too small. */ zerot = imat >= 2 && imat <= 4; if (zerot && n < imat - 1) { goto L120; } /* Set up parameters with ZLATB4 and generate a test matrix with ZLATMS. */ zlatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, & mode, &cndnum, dist); rcondc = 1. / cndnum; s_copy(srnamc_1.srnamt, "ZLATMS", (ftnlen)6, (ftnlen)6); zlatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, & cndnum, &anorm, &kl, &ku, "Z", &a[1], &lda, &work[ 1], &info); /* Check the error code from ZLATMS. */ if (info != 0) { alaerh_(path, "ZLATMS", &info, &c__0, " ", &n, &n, & kl, &ku, &c_n1, &imat, &nfail, &nerrs, nout); goto L120; } /* For types 2, 3, and 4, zero one or more columns of the matrix to test that INFO is returned correctly. */ izero = 0; if (zerot) { if (imat == 2) { izero = 1; } else if (imat == 3) { izero = n; } else { izero = n / 2 + 1; } ioff = (izero - 1) * lda; if (imat < 4) { /* Computing MAX */ i__5 = 1, i__6 = ku + 2 - izero; i1 = max(i__5,i__6); /* Computing MIN */ i__5 = kl + ku + 1, i__6 = ku + 1 + (n - izero); i2 = min(i__5,i__6); i__5 = i2; for (i__ = i1; i__ <= i__5; ++i__) { i__6 = ioff + i__; a[i__6].r = 0., a[i__6].i = 0.; /* L20: */ } } else { i__5 = n; for (j = izero; j <= i__5; ++j) { /* Computing MAX */ i__6 = 1, i__7 = ku + 2 - j; /* Computing MIN */ i__9 = kl + ku + 1, i__10 = ku + 1 + (n - j); i__8 = min(i__9,i__10); for (i__ = max(i__6,i__7); i__ <= i__8; ++i__) { i__6 = ioff + i__; a[i__6].r = 0., a[i__6].i = 0.; /* L30: */ } ioff += lda; /* L40: */ } } } /* Save a copy of the matrix A in ASAV. */ i__5 = kl + ku + 1; zlacpy_("Full", &i__5, &n, &a[1], &lda, &asav[1], &lda); for (iequed = 1; iequed <= 4; ++iequed) { *(unsigned char *)equed = *(unsigned char *)&equeds[ iequed - 1]; if (iequed == 1) { nfact = 3; } else { nfact = 1; } i__5 = nfact; for (ifact = 1; ifact <= i__5; ++ifact) { *(unsigned char *)fact = *(unsigned char *)&facts[ ifact - 1]; prefac = lsame_(fact, "F"); nofact = lsame_(fact, "N"); equil = lsame_(fact, "E"); if (zerot) { if (prefac) { goto L100; } rcondo = 0.; rcondi = 0.; } else if (! nofact) { /* Compute the condition number for comparison with the value returned by DGESVX (FACT = 'N' reuses the condition number from the previous iteration with FACT = 'F'). */ i__8 = kl + ku + 1; zlacpy_("Full", &i__8, &n, &asav[1], &lda, & afb[kl + 1], &ldafb); if (equil || iequed > 1) { /* Compute row and column scale factors to equilibrate the matrix A. */ zgbequ_(&n, &n, &kl, &ku, &afb[kl + 1], & ldafb, &s[1], &s[n + 1], &rowcnd, &colcnd, &amax, &info); if (info == 0 && n > 0) { if (lsame_(equed, "R")) { rowcnd = 0.; colcnd = 1.; } else if (lsame_(equed, "C")) { rowcnd = 1.; colcnd = 0.; } else if (lsame_(equed, "B")) { rowcnd = 0.; colcnd = 0.; } /* Equilibrate the matrix. */ zlaqgb_(&n, &n, &kl, &ku, &afb[kl + 1] , &ldafb, &s[1], &s[n + 1], & rowcnd, &colcnd, &amax, equed); } } /* Save the condition number of the non-equilibrated system for use in ZGET04. */ if (equil) { roldo = rcondo; roldi = rcondi; } /* Compute the 1-norm and infinity-norm of A. */ anormo = zlangb_("1", &n, &kl, &ku, &afb[kl + 1], &ldafb, &rwork[1]); anormi = zlangb_("I", &n, &kl, &ku, &afb[kl + 1], &ldafb, &rwork[1]); /* Factor the matrix A. */ zgbtrf_(&n, &n, &kl, &ku, &afb[1], &ldafb, & iwork[1], &info); /* Form the inverse of A. */ zlaset_("Full", &n, &n, &c_b48, &c_b49, &work[ 1], &ldb); s_copy(srnamc_1.srnamt, "ZGBTRS", (ftnlen)6, ( ftnlen)6); zgbtrs_("No transpose", &n, &kl, &ku, &n, & afb[1], &ldafb, &iwork[1], &work[1], & ldb, &info); /* Compute the 1-norm condition number of A. */ ainvnm = zlange_("1", &n, &n, &work[1], &ldb, &rwork[1]); if (anormo <= 0. || ainvnm <= 0.) { rcondo = 1.; } else { rcondo = 1. / anormo / ainvnm; } /* Compute the infinity-norm condition number of A. */ ainvnm = zlange_("I", &n, &n, &work[1], &ldb, &rwork[1]); if (anormi <= 0. || ainvnm <= 0.) { rcondi = 1.; } else { rcondi = 1. / anormi / ainvnm; } } for (itran = 1; itran <= 3; ++itran) { /* Do for each value of TRANS. */ *(unsigned char *)trans = *(unsigned char *)& transs[itran - 1]; if (itran == 1) { rcondc = rcondo; } else { rcondc = rcondi; } /* Restore the matrix A. */ i__8 = kl + ku + 1; zlacpy_("Full", &i__8, &n, &asav[1], &lda, &a[ 1], &lda); /* Form an exact solution and set the right hand side. */ s_copy(srnamc_1.srnamt, "ZLARHS", (ftnlen)6, ( ftnlen)6); zlarhs_(path, xtype, "Full", trans, &n, &n, & kl, &ku, nrhs, &a[1], &lda, &xact[1], &ldb, &b[1], &ldb, iseed, &info); *(unsigned char *)xtype = 'C'; zlacpy_("Full", &n, nrhs, &b[1], &ldb, &bsav[ 1], &ldb); if (nofact && itran == 1) { /* --- Test ZGBSV --- Compute the LU factorization of the matrix and solve the system. */ i__8 = kl + ku + 1; zlacpy_("Full", &i__8, &n, &a[1], &lda, & afb[kl + 1], &ldafb); zlacpy_("Full", &n, nrhs, &b[1], &ldb, &x[ 1], &ldb); s_copy(srnamc_1.srnamt, "ZGBSV ", (ftnlen) 6, (ftnlen)6); zgbsv_(&n, &kl, &ku, nrhs, &afb[1], & ldafb, &iwork[1], &x[1], &ldb, & info); /* Check error code from ZGBSV . */ if (info != izero) { alaerh_(path, "ZGBSV ", &info, &izero, " ", &n, &n, &kl, &ku, nrhs, &imat, &nfail, &nerrs, nout); } /* Reconstruct matrix from factors and compute residual. */ zgbt01_(&n, &n, &kl, &ku, &a[1], &lda, & afb[1], &ldafb, &iwork[1], &work[ 1], result); nt = 1; if (izero == 0) { /* Compute residual of the computed solution. */ zlacpy_("Full", &n, nrhs, &b[1], &ldb, &work[1], &ldb); zgbt02_("No transpose", &n, &n, &kl, & ku, nrhs, &a[1], &lda, &x[1], &ldb, &work[1], &ldb, &result[ 1]); /* Check solution from generated exact solution. */ zget04_(&n, nrhs, &x[1], &ldb, &xact[ 1], &ldb, &rcondc, &result[2]) ; nt = 3; } /* Print information about the tests that did not pass the threshold. */ i__8 = nt; for (k = 1; k <= i__8; ++k) { if (result[k - 1] >= *thresh) { if (nfail == 0 && nerrs == 0) { aladhd_(nout, path); } io___65.ciunit = *nout; s_wsfe(&io___65); do_fio(&c__1, "ZGBSV ", (ftnlen)6) ; do_fio(&c__1, (char *)&n, (ftnlen) sizeof(integer)); do_fio(&c__1, (char *)&kl, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&ku, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&imat, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&k, (ftnlen) sizeof(integer)); do_fio(&c__1, (char *)&result[k - 1], (ftnlen)sizeof( doublereal)); e_wsfe(); ++nfail; } /* L50: */ } nrun += nt; } /* --- Test ZGBSVX --- */ if (! prefac) { i__8 = (kl << 1) + ku + 1; zlaset_("Full", &i__8, &n, &c_b48, &c_b48, &afb[1], &ldafb); } zlaset_("Full", &n, nrhs, &c_b48, &c_b48, &x[ 1], &ldb); if (iequed > 1 && n > 0) { /* Equilibrate the matrix if FACT = 'F' and EQUED = 'R', 'C', or 'B'. */ zlaqgb_(&n, &n, &kl, &ku, &a[1], &lda, &s[ 1], &s[n + 1], &rowcnd, &colcnd, & amax, equed); } /* Solve the system and compute the condition number and error bounds using ZGBSVX. */ s_copy(srnamc_1.srnamt, "ZGBSVX", (ftnlen)6, ( ftnlen)6); zgbsvx_(fact, trans, &n, &kl, &ku, nrhs, &a[1] , &lda, &afb[1], &ldafb, &iwork[1], equed, &s[1], &s[ldb + 1], &b[1], & ldb, &x[1], &ldb, &rcond, &rwork[1], & rwork[*nrhs + 1], &work[1], &rwork[(* nrhs << 1) + 1], &info); /* Check the error code from ZGBSVX. */ if (info != izero) { /* Writing concatenation */ i__11[0] = 1, a__1[0] = fact; i__11[1] = 1, a__1[1] = trans; s_cat(ch__1, a__1, i__11, &c__2, (ftnlen) 2); alaerh_(path, "ZGBSVX", &info, &izero, ch__1, &n, &n, &kl, &ku, nrhs, & imat, &nfail, &nerrs, nout); } /* Compare RWORK(2*NRHS+1) from ZGBSVX with the computed reciprocal pivot growth RPVGRW */ if (info != 0) { anrmpv = 0.; i__8 = info; for (j = 1; j <= i__8; ++j) { /* Computing MAX */ i__6 = ku + 2 - j; /* Computing MIN */ i__9 = n + ku + 1 - j, i__10 = kl + ku + 1; i__7 = min(i__9,i__10); for (i__ = max(i__6,1); i__ <= i__7; ++i__) { /* Computing MAX */ d__1 = anrmpv, d__2 = z_abs(&a[ i__ + (j - 1) * lda]); anrmpv = max(d__1,d__2); /* L60: */ } /* L70: */ } /* Computing MIN */ i__7 = info - 1, i__6 = kl + ku; i__8 = min(i__7,i__6); /* Computing MAX */ i__9 = 1, i__10 = kl + ku + 2 - info; rpvgrw = zlantb_("M", "U", "N", &info, & i__8, &afb[max(i__9,i__10)], & ldafb, rdum); if (rpvgrw == 0.) { rpvgrw = 1.; } else { rpvgrw = anrmpv / rpvgrw; } } else { i__8 = kl + ku; rpvgrw = zlantb_("M", "U", "N", &n, &i__8, &afb[1], &ldafb, rdum); if (rpvgrw == 0.) { rpvgrw = 1.; } else { rpvgrw = zlangb_("M", &n, &kl, &ku, & a[1], &lda, rdum) / rpvgrw; } } /* Computing MAX */ d__2 = rwork[(*nrhs << 1) + 1]; result[6] = (d__1 = rpvgrw - rwork[(*nrhs << 1) + 1], abs(d__1)) / max(d__2,rpvgrw) / dlamch_("E"); if (! prefac) { /* Reconstruct matrix from factors and compute residual. */ zgbt01_(&n, &n, &kl, &ku, &a[1], &lda, & afb[1], &ldafb, &iwork[1], &work[ 1], result); k1 = 1; } else { k1 = 2; } if (info == 0) { trfcon = FALSE_; /* Compute residual of the computed solution. */ zlacpy_("Full", &n, nrhs, &bsav[1], &ldb, &work[1], &ldb); zgbt02_(trans, &n, &n, &kl, &ku, nrhs, & asav[1], &lda, &x[1], &ldb, &work[ 1], &ldb, &result[1]); /* Check solution from generated exact solution. */ if (nofact || prefac && lsame_(equed, "N")) { zget04_(&n, nrhs, &x[1], &ldb, &xact[ 1], &ldb, &rcondc, &result[2]) ; } else { if (itran == 1) { roldc = roldo; } else { roldc = roldi; } zget04_(&n, nrhs, &x[1], &ldb, &xact[ 1], &ldb, &roldc, &result[2]); } /* Check the error bounds from iterative refinement. */ zgbt05_(trans, &n, &kl, &ku, nrhs, &asav[ 1], &lda, &bsav[1], &ldb, &x[1], & ldb, &xact[1], &ldb, &rwork[1], & rwork[*nrhs + 1], &result[3]); } else { trfcon = TRUE_; } /* Compare RCOND from ZGBSVX with the computed value in RCONDC. */ result[5] = dget06_(&rcond, &rcondc); /* Print information about the tests that did not pass the threshold. */ if (! trfcon) { for (k = k1; k <= 7; ++k) { if (result[k - 1] >= *thresh) { if (nfail == 0 && nerrs == 0) { aladhd_(nout, path); } if (prefac) { io___73.ciunit = *nout; s_wsfe(&io___73); do_fio(&c__1, "ZGBSVX", (ftnlen)6); do_fio(&c__1, fact, (ftnlen)1); do_fio(&c__1, trans, (ftnlen)1); do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&kl, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&ku, (ftnlen)sizeof(integer)); do_fio(&c__1, equed, (ftnlen)1); do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer) ); do_fio(&c__1, (char *)&k, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&result[k - 1], (ftnlen) sizeof(doublereal)); e_wsfe(); } else { io___74.ciunit = *nout; s_wsfe(&io___74); do_fio(&c__1, "ZGBSVX", (ftnlen)6); do_fio(&c__1, fact, (ftnlen)1); do_fio(&c__1, trans, (ftnlen)1); do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&kl, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&ku, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer) ); do_fio(&c__1, (char *)&k, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&result[k - 1], (ftnlen) sizeof(doublereal)); e_wsfe(); } ++nfail; } /* L80: */ } nrun = nrun + 7 - k1; } else { if (result[0] >= *thresh && ! prefac) { if (nfail == 0 && nerrs == 0) { aladhd_(nout, path); } if (prefac) { io___75.ciunit = *nout; s_wsfe(&io___75); do_fio(&c__1, "ZGBSVX", (ftnlen)6) ; do_fio(&c__1, fact, (ftnlen)1); do_fio(&c__1, trans, (ftnlen)1); do_fio(&c__1, (char *)&n, (ftnlen) sizeof(integer)); do_fio(&c__1, (char *)&kl, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&ku, ( ftnlen)sizeof(integer)); do_fio(&c__1, equed, (ftnlen)1); do_fio(&c__1, (char *)&imat, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&c__1, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&result[0], (ftnlen)sizeof(doublereal) ); e_wsfe(); } else { io___76.ciunit = *nout; s_wsfe(&io___76); do_fio(&c__1, "ZGBSVX", (ftnlen)6) ; do_fio(&c__1, fact, (ftnlen)1); do_fio(&c__1, trans, (ftnlen)1); do_fio(&c__1, (char *)&n, (ftnlen) sizeof(integer)); do_fio(&c__1, (char *)&kl, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&ku, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&imat, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&c__1, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&result[0], (ftnlen)sizeof(doublereal) ); e_wsfe(); } ++nfail; ++nrun; } if (result[5] >= *thresh) { if (nfail == 0 && nerrs == 0) { aladhd_(nout, path); } if (prefac) { io___77.ciunit = *nout; s_wsfe(&io___77); do_fio(&c__1, "ZGBSVX", (ftnlen)6) ; do_fio(&c__1, fact, (ftnlen)1); do_fio(&c__1, trans, (ftnlen)1); do_fio(&c__1, (char *)&n, (ftnlen) sizeof(integer)); do_fio(&c__1, (char *)&kl, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&ku, ( ftnlen)sizeof(integer)); do_fio(&c__1, equed, (ftnlen)1); do_fio(&c__1, (char *)&imat, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&c__6, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&result[5], (ftnlen)sizeof(doublereal) ); e_wsfe(); } else { io___78.ciunit = *nout; s_wsfe(&io___78); do_fio(&c__1, "ZGBSVX", (ftnlen)6) ; do_fio(&c__1, fact, (ftnlen)1); do_fio(&c__1, trans, (ftnlen)1); do_fio(&c__1, (char *)&n, (ftnlen) sizeof(integer)); do_fio(&c__1, (char *)&kl, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&ku, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&imat, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&c__6, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&result[5], (ftnlen)sizeof(doublereal) ); e_wsfe(); } ++nfail; ++nrun; } if (result[6] >= *thresh) { if (nfail == 0 && nerrs == 0) { aladhd_(nout, path); } if (prefac) { io___79.ciunit = *nout; s_wsfe(&io___79); do_fio(&c__1, "ZGBSVX", (ftnlen)6) ; do_fio(&c__1, fact, (ftnlen)1); do_fio(&c__1, trans, (ftnlen)1); do_fio(&c__1, (char *)&n, (ftnlen) sizeof(integer)); do_fio(&c__1, (char *)&kl, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&ku, ( ftnlen)sizeof(integer)); do_fio(&c__1, equed, (ftnlen)1); do_fio(&c__1, (char *)&imat, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&c__7, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&result[6], (ftnlen)sizeof(doublereal) ); e_wsfe(); } else { io___80.ciunit = *nout; s_wsfe(&io___80); do_fio(&c__1, "ZGBSVX", (ftnlen)6) ; do_fio(&c__1, fact, (ftnlen)1); do_fio(&c__1, trans, (ftnlen)1); do_fio(&c__1, (char *)&n, (ftnlen) sizeof(integer)); do_fio(&c__1, (char *)&kl, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&ku, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&imat, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&c__7, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&result[6], (ftnlen)sizeof(doublereal) ); e_wsfe(); } ++nfail; ++nrun; } } /* L90: */ } L100: ; } /* L110: */ } L120: ; } L130: ; } /* L140: */ } /* L150: */ } /* Print a summary of the results. */ alasvm_(path, nout, &nfail, &nrun, &nerrs); return 0; /* End of ZDRVGB */ } /* zdrvgb_ */