#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 real c_b49 = 0.f; /* Subroutine */ int sdrvsy_(logical *dotype, integer *nn, integer *nval, integer *nrhs, real *thresh, logical *tsterr, integer *nmax, real *a, real *afac, real *ainv, real *b, real *x, real *xact, real *work, real *rwork, integer *iwork, integer *nout) { /* Initialized data */ static integer iseedy[4] = { 1988,1989,1990,1991 }; static char uplos[1*2] = "U" "L"; static char facts[1*2] = "F" "N"; /* Format strings */ static char fmt_9999[] = "(1x,a6,\002, UPLO='\002,a1,\002', N =\002,i5" ",\002, type \002,i2,\002, test \002,i2,\002, ratio =\002,g12.5)"; static char fmt_9998[] = "(1x,a6,\002, FACT='\002,a1,\002', UPLO='\002,a" "1,\002', N =\002,i5,\002, type \002,i2,\002, test \002,i2,\002, " "ratio =\002,g12.5)"; /* System generated locals */ address a__1[2]; integer i__1, i__2, i__3, i__4, i__5[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); /* Local variables */ static char fact[1]; static integer ioff, mode, imat, info; static char path[3], dist[1], uplo[1], type__[1]; static integer nrun, i__, j, k, n, ifact, nfail, iseed[4], nbmin; static real rcond; extern /* Subroutine */ int sget04_(integer *, integer *, real *, integer *, real *, integer *, real *, real *); static integer nimat; extern doublereal sget06_(real *, real *); static real anorm; extern /* Subroutine */ int spot02_(char *, integer *, integer *, real *, integer *, real *, integer *, real *, integer *, real *, real *); static integer iuplo, izero, i1, i2, k1, lwork, nerrs; extern /* Subroutine */ int spot05_(char *, integer *, integer *, real *, integer *, real *, integer *, real *, integer *, real *, integer * , real *, real *, real *); static logical zerot; extern /* Subroutine */ int ssyt01_(char *, integer *, real *, integer *, real *, integer *, integer *, real *, integer *, real *, real *); static char xtype[1]; extern /* Subroutine */ int ssysv_(char *, integer *, integer *, real *, integer *, integer *, real *, integer *, real *, integer *, integer *), slatb4_(char *, integer *, integer *, integer *, char *, integer *, integer *, real *, integer *, real *, char * ), aladhd_(integer *, char *); static integer nb, in, kl; extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *, char *, integer *, integer *, integer *, integer *, integer *, integer *, integer *, integer *, integer *); static integer ku, nt; static real rcondc; extern /* Subroutine */ int alasvm_(char *, integer *, integer *, integer *, integer *); static real cndnum, ainvnm; extern /* Subroutine */ int slacpy_(char *, integer *, integer *, real *, integer *, real *, integer *), slarhs_(char *, char *, char *, char *, integer *, integer *, integer *, integer *, integer *, real *, integer *, real *, integer *, real *, integer * , integer *, integer *), slaset_( char *, integer *, integer *, real *, real *, real *, integer *), xlaenv_(integer *, integer *), slatms_(integer *, integer *, char *, integer *, char *, real *, integer *, real *, real *, integer *, integer *, char *, real *, integer *, real *, integer *); extern doublereal slansy_(char *, char *, integer *, real *, integer *, real *); static real result[6]; extern /* Subroutine */ int serrvx_(char *, integer *), ssytrf_( char *, integer *, real *, integer *, integer *, real *, integer * , integer *), ssytri_(char *, integer *, real *, integer * , integer *, real *, integer *), ssysvx_(char *, char *, integer *, integer *, real *, integer *, real *, integer *, integer *, real *, integer *, real *, integer *, real *, real *, real *, real *, integer *, integer *, integer *); static integer lda; /* Fortran I/O blocks */ static cilist io___42 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___45 = { 0, 0, 0, fmt_9998, 0 }; /* -- LAPACK test routine (version 3.0) -- Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., Courant Institute, Argonne National Lab, and Rice University September 30, 1994 Purpose ======= SDRVSY tests the driver routines SSYSV 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 dimension N. NRHS (input) INTEGER The number of right hand side vectors to be generated for each linear system. THRESH (input) REAL 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. NMAX (input) INTEGER The maximum value permitted for N, used in dimensioning the work arrays. A (workspace) REAL array, dimension (NMAX*NMAX) AFAC (workspace) REAL array, dimension (NMAX*NMAX) AINV (workspace) REAL array, dimension (NMAX*NMAX) B (workspace) REAL array, dimension (NMAX*NRHS) X (workspace) REAL array, dimension (NMAX*NRHS) XACT (workspace) REAL array, dimension (NMAX*NRHS) WORK (workspace) REAL array, dimension (NMAX*max(2,NRHS)) RWORK (workspace) REAL array, dimension (NMAX+2*NRHS) IWORK (workspace) INTEGER array, dimension (2*NMAX) NOUT (input) INTEGER The unit number for output. ===================================================================== Parameter adjustments */ --iwork; --rwork; --work; --xact; --x; --b; --ainv; --afac; --a; --nval; --dotype; /* Function Body Initialize constants and the random number seed. */ s_copy(path, "Single precision", (ftnlen)1, (ftnlen)16); s_copy(path + 1, "SY", (ftnlen)2, (ftnlen)2); nrun = 0; nfail = 0; nerrs = 0; for (i__ = 1; i__ <= 4; ++i__) { iseed[i__ - 1] = iseedy[i__ - 1]; /* L10: */ } /* Computing MAX */ i__1 = *nmax << 1, i__2 = *nmax * *nrhs; lwork = max(i__1,i__2); /* Test the error exits */ if (*tsterr) { serrvx_(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]; lda = max(n,1); *(unsigned char *)xtype = 'N'; nimat = 10; if (n <= 0) { nimat = 1; } i__2 = nimat; for (imat = 1; imat <= i__2; ++imat) { /* Do the tests only if DOTYPE( IMAT ) is true. */ if (! dotype[imat]) { goto L170; } /* Skip types 3, 4, 5, or 6 if the matrix size is too small. */ zerot = imat >= 3 && imat <= 6; if (zerot && n < imat - 2) { goto L170; } /* Do first for UPLO = 'U', then for UPLO = 'L' */ for (iuplo = 1; iuplo <= 2; ++iuplo) { *(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1]; /* Set up parameters with SLATB4 and generate a test matrix with SLATMS. */ slatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode, &cndnum, dist); s_copy(srnamc_1.srnamt, "SLATMS", (ftnlen)6, (ftnlen)6); slatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, & cndnum, &anorm, &kl, &ku, uplo, &a[1], &lda, &work[1], &info); /* Check error code from SLATMS. */ if (info != 0) { alaerh_(path, "SLATMS", &info, &c__0, uplo, &n, &n, &c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, nout); goto L160; } /* For types 3-6, zero one or more rows and columns of the matrix to test that INFO is returned correctly. */ if (zerot) { if (imat == 3) { izero = 1; } else if (imat == 4) { izero = n; } else { izero = n / 2 + 1; } if (imat < 6) { /* Set row and column IZERO to zero. */ if (iuplo == 1) { ioff = (izero - 1) * lda; i__3 = izero - 1; for (i__ = 1; i__ <= i__3; ++i__) { a[ioff + i__] = 0.f; /* L20: */ } ioff += izero; i__3 = n; for (i__ = izero; i__ <= i__3; ++i__) { a[ioff] = 0.f; ioff += lda; /* L30: */ } } else { ioff = izero; i__3 = izero - 1; for (i__ = 1; i__ <= i__3; ++i__) { a[ioff] = 0.f; ioff += lda; /* L40: */ } ioff -= izero; i__3 = n; for (i__ = izero; i__ <= i__3; ++i__) { a[ioff + i__] = 0.f; /* L50: */ } } } else { ioff = 0; if (iuplo == 1) { /* Set the first IZERO rows and columns to zero. */ i__3 = n; for (j = 1; j <= i__3; ++j) { i2 = min(j,izero); i__4 = i2; for (i__ = 1; i__ <= i__4; ++i__) { a[ioff + i__] = 0.f; /* L60: */ } ioff += lda; /* L70: */ } } else { /* Set the last IZERO rows and columns to zero. */ i__3 = n; for (j = 1; j <= i__3; ++j) { i1 = max(j,izero); i__4 = n; for (i__ = i1; i__ <= i__4; ++i__) { a[ioff + i__] = 0.f; /* L80: */ } ioff += lda; /* L90: */ } } } } else { izero = 0; } for (ifact = 1; ifact <= 2; ++ifact) { /* Do first for FACT = 'F', then for other values. */ *(unsigned char *)fact = *(unsigned char *)&facts[ifact - 1]; /* Compute the condition number for comparison with the value returned by SSYSVX. */ if (zerot) { if (ifact == 1) { goto L150; } rcondc = 0.f; } else if (ifact == 1) { /* Compute the 1-norm of A. */ anorm = slansy_("1", uplo, &n, &a[1], &lda, &rwork[1]); /* Factor the matrix A. */ slacpy_(uplo, &n, &n, &a[1], &lda, &afac[1], &lda); ssytrf_(uplo, &n, &afac[1], &lda, &iwork[1], &work[1], &lwork, &info); /* Compute inv(A) and take its norm. */ slacpy_(uplo, &n, &n, &afac[1], &lda, &ainv[1], &lda); ssytri_(uplo, &n, &ainv[1], &lda, &iwork[1], &work[1], &info); ainvnm = slansy_("1", uplo, &n, &ainv[1], &lda, & rwork[1]); /* Compute the 1-norm condition number of A. */ if (anorm <= 0.f || ainvnm <= 0.f) { rcondc = 1.f; } else { rcondc = 1.f / anorm / ainvnm; } } /* Form an exact solution and set the right hand side. */ s_copy(srnamc_1.srnamt, "SLARHS", (ftnlen)6, (ftnlen)6); slarhs_(path, xtype, uplo, " ", &n, &n, &kl, &ku, nrhs, & a[1], &lda, &xact[1], &lda, &b[1], &lda, iseed, & info); *(unsigned char *)xtype = 'C'; /* --- Test SSYSV --- */ if (ifact == 2) { slacpy_(uplo, &n, &n, &a[1], &lda, &afac[1], &lda); slacpy_("Full", &n, nrhs, &b[1], &lda, &x[1], &lda); /* Factor the matrix and solve the system using SSYSV. */ s_copy(srnamc_1.srnamt, "SSYSV ", (ftnlen)6, (ftnlen) 6); ssysv_(uplo, &n, nrhs, &afac[1], &lda, &iwork[1], &x[ 1], &lda, &work[1], &lwork, &info); /* Adjust the expected value of INFO to account for pivoting. */ k = izero; if (k > 0) { L100: if (iwork[k] < 0) { if (iwork[k] != -k) { k = -iwork[k]; goto L100; } } else if (iwork[k] != k) { k = iwork[k]; goto L100; } } /* Check error code from SSYSV . */ if (info != k) { alaerh_(path, "SSYSV ", &info, &k, uplo, &n, &n, & c_n1, &c_n1, nrhs, &imat, &nfail, &nerrs, nout); goto L120; } else if (info != 0) { goto L120; } /* Reconstruct matrix from factors and compute residual. */ ssyt01_(uplo, &n, &a[1], &lda, &afac[1], &lda, &iwork[ 1], &ainv[1], &lda, &rwork[1], result); /* Compute residual of the computed solution. */ slacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], &lda); spot02_(uplo, &n, nrhs, &a[1], &lda, &x[1], &lda, & work[1], &lda, &rwork[1], &result[1]); /* Check solution from generated exact solution. */ sget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda, & rcondc, &result[2]); nt = 3; /* Print information about the tests that did not pass the threshold. */ i__3 = nt; for (k = 1; k <= i__3; ++k) { if (result[k - 1] >= *thresh) { if (nfail == 0 && nerrs == 0) { aladhd_(nout, path); } io___42.ciunit = *nout; s_wsfe(&io___42); do_fio(&c__1, "SSYSV ", (ftnlen)6); do_fio(&c__1, uplo, (ftnlen)1); do_fio(&c__1, (char *)&n, (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(real)); e_wsfe(); ++nfail; } /* L110: */ } nrun += nt; L120: ; } /* --- Test SSYSVX --- */ if (ifact == 2) { slaset_(uplo, &n, &n, &c_b49, &c_b49, &afac[1], &lda); } slaset_("Full", &n, nrhs, &c_b49, &c_b49, &x[1], &lda); /* Solve the system and compute the condition number and error bounds using SSYSVX. */ s_copy(srnamc_1.srnamt, "SSYSVX", (ftnlen)6, (ftnlen)6); ssysvx_(fact, uplo, &n, nrhs, &a[1], &lda, &afac[1], &lda, &iwork[1], &b[1], &lda, &x[1], &lda, &rcond, & rwork[1], &rwork[*nrhs + 1], &work[1], &lwork, & iwork[n + 1], &info); /* Adjust the expected value of INFO to account for pivoting. */ k = izero; if (k > 0) { L130: if (iwork[k] < 0) { if (iwork[k] != -k) { k = -iwork[k]; goto L130; } } else if (iwork[k] != k) { k = iwork[k]; goto L130; } } /* Check the error code from SSYSVX. */ if (info != k) { /* Writing concatenation */ i__5[0] = 1, a__1[0] = fact; i__5[1] = 1, a__1[1] = uplo; s_cat(ch__1, a__1, i__5, &c__2, (ftnlen)2); alaerh_(path, "SSYSVX", &info, &k, ch__1, &n, &n, & c_n1, &c_n1, nrhs, &imat, &nfail, &nerrs, nout); goto L150; } if (info == 0) { if (ifact >= 2) { /* Reconstruct matrix from factors and compute residual. */ ssyt01_(uplo, &n, &a[1], &lda, &afac[1], &lda, & iwork[1], &ainv[1], &lda, &rwork[(*nrhs << 1) + 1], result); k1 = 1; } else { k1 = 2; } /* Compute residual of the computed solution. */ slacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], &lda); spot02_(uplo, &n, nrhs, &a[1], &lda, &x[1], &lda, & work[1], &lda, &rwork[(*nrhs << 1) + 1], & result[1]); /* Check solution from generated exact solution. */ sget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda, & rcondc, &result[2]); /* Check the error bounds from iterative refinement. */ spot05_(uplo, &n, nrhs, &a[1], &lda, &b[1], &lda, &x[ 1], &lda, &xact[1], &lda, &rwork[1], &rwork[* nrhs + 1], &result[3]); } else { k1 = 6; } /* Compare RCOND from SSYSVX with the computed value in RCONDC. */ result[5] = sget06_(&rcond, &rcondc); /* Print information about the tests that did not pass the threshold. */ for (k = k1; k <= 6; ++k) { if (result[k - 1] >= *thresh) { if (nfail == 0 && nerrs == 0) { aladhd_(nout, path); } io___45.ciunit = *nout; s_wsfe(&io___45); do_fio(&c__1, "SSYSVX", (ftnlen)6); do_fio(&c__1, fact, (ftnlen)1); do_fio(&c__1, uplo, (ftnlen)1); do_fio(&c__1, (char *)&n, (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(real)); e_wsfe(); ++nfail; } /* L140: */ } nrun = nrun + 7 - k1; L150: ; } L160: ; } L170: ; } /* L180: */ } /* Print a summary of the results. */ alasvm_(path, nout, &nfail, &nrun, &nerrs); return 0; /* End of SDRVSY */ } /* sdrvsy_ */