/* ddrvab.f -- translated by f2c (version 20061008). You must link the resulting object file with libf2c: on Microsoft Windows system, link with libf2c.lib; on Linux or Unix systems, link with .../path/to/libf2c.a -lm or, if you install libf2c.a in a standard place, with -lf2c -lm -- in that order, at the end of the command line, as in cc *.o -lf2c -lm Source for libf2c is in /netlib/f2c/libf2c.zip, e.g., http://www.netlib.org/f2c/libf2c.zip */ #include "f2c.h" #include "blaswrap.h" /* Common Block Declarations */ struct { integer infot, nunit; logical ok, lerr; } infoc_; #define infoc_1 infoc_ struct { char srnamt[32]; } srnamc_; #define srnamc_1 srnamc_ /* Table of constant values */ static integer c__0 = 0; static integer c_n1 = -1; static doublereal c_b17 = 0.; static integer c__1 = 1; /* Subroutine */ int ddrvab_(logical *dotype, integer *nm, integer *mval, integer *nns, integer *nsval, doublereal *thresh, integer *nmax, doublereal *a, doublereal *afac, doublereal *b, doublereal *x, doublereal *work, doublereal *rwork, real *swork, integer *iwork, integer *nout) { /* Initialized data */ static integer iseedy[4] = { 2006,2007,2008,2009 }; /* Format strings */ static char fmt_9988[] = "(\002 *** \002,a6,\002 returned with INFO =" "\002,i5,\002 instead of \002,i5,/\002 ==> M =\002,i5,\002, type" " \002,i2)"; static char fmt_9975[] = "(\002 *** Error code from \002,a6,\002=\002," "i5,\002 for M=\002,i5,\002, type \002,i2)"; static char fmt_8999[] = "(/1x,a3,\002: General dense matrices\002)"; static char fmt_8979[] = "(4x,\0021. Diagonal\002,24x,\0027. Last n/2 co" "lumns zero\002,/4x,\0022. Upper triangular\002,16x,\0028. Random" ", CNDNUM = sqrt(0.1/EPS)\002,/4x,\0023. Lower triangular\002,16x," "\0029. Random, CNDNUM = 0.1/EPS\002,/4x,\0024. Random, CNDNUM = 2" "\002,13x,\00210. Scaled near underflow\002,/4x,\0025. First colu" "mn zero\002,14x,\00211. Scaled near overflow\002,/4x,\0026. Last" " column zero\002)"; static char fmt_8960[] = "(3x,i2,\002: norm_1( B - A * X ) / \002,\002(" " norm_1(A) * norm_1(X) * EPS * SQRT(N) ) > 1 if ITERREF\002,/4x" ",\002or norm_1( B - A * X ) / \002,\002( norm_1(A) * norm_1(X) " "* EPS ) > THRES if DGETRF\002)"; static char fmt_9998[] = "(\002 TRANS='\002,a1,\002', N =\002,i5,\002, N" "RHS=\002,i3,\002, type \002,i2,\002, test(\002,i2,\002) =\002,g1" "2.5)"; static char fmt_9996[] = "(1x,a6,\002: \002,i6,\002 out of \002,i6,\002 " "tests failed to pass the threshold\002)"; static char fmt_9995[] = "(/1x,\002All tests for \002,a6,\002 routines p" "assed the threshold (\002,i6,\002 tests run)\002)"; static char fmt_9994[] = "(6x,i6,\002 error messages recorded\002)"; /* System generated locals */ integer i__1, i__2, i__3; cilist ci__1; /* Builtin functions */ /* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen); integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void); double sqrt(doublereal); /* Local variables */ integer i__, m, n, im, kl, ku, lda, ioff, mode, kase, imat, info; char path[3], dist[1]; integer irhs, iter, nrhs; char type__[1]; integer nrun; extern /* Subroutine */ int alahd_(integer *, char *); integer nfail, iseed[4]; extern /* Subroutine */ int dget08_(char *, integer *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *); integer nimat; doublereal anorm; char trans[1]; integer izero, nerrs; logical zerot; char xtype[1]; extern /* Subroutine */ int dlatb4_(char *, integer *, integer *, integer *, char *, integer *, integer *, doublereal *, integer *, doublereal *, char *), alaerh_(char *, char *, integer *, integer *, char *, integer *, integer *, integer *, integer *, integer *, integer *, integer *, integer *, integer *), dlacpy_(char *, integer *, integer *, doublereal *, integer *, doublereal *, integer *), dlarhs_(char *, char *, char *, char *, integer *, integer *, integer *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, integer *, integer *, integer *), dlaset_(char *, integer *, integer *, doublereal *, doublereal *, doublereal *, integer *); doublereal cndnum; extern /* Subroutine */ int dlatms_(integer *, integer *, char *, integer *, char *, doublereal *, integer *, doublereal *, doublereal *, integer *, integer *, char *, doublereal *, integer *, doublereal *, integer *), dsgesv_(integer *, integer *, doublereal *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, real *, integer *, integer *); doublereal result[1]; /* Fortran I/O blocks */ static cilist io___31 = { 0, 0, 0, fmt_9988, 0 }; static cilist io___32 = { 0, 0, 0, fmt_9975, 0 }; static cilist io___34 = { 0, 0, 0, fmt_8999, 0 }; static cilist io___35 = { 0, 0, 0, fmt_8979, 0 }; static cilist io___36 = { 0, 0, 0, fmt_8960, 0 }; static cilist io___37 = { 0, 0, 0, fmt_9998, 0 }; static cilist io___38 = { 0, 0, 0, fmt_9996, 0 }; static cilist io___39 = { 0, 0, 0, fmt_9995, 0 }; static cilist io___40 = { 0, 0, 0, fmt_9994, 0 }; /* -- LAPACK test routine (version 3.1) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* DDRVAB tests DSGESV */ /* 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. */ /* NM (input) INTEGER */ /* The number of values of M contained in the vector MVAL. */ /* MVAL (input) INTEGER array, dimension (NM) */ /* The values of the matrix row dimension M. */ /* NNS (input) INTEGER */ /* The number of values of NRHS contained in the vector NSVAL. */ /* NSVAL (input) INTEGER array, dimension (NNS) */ /* The values of the number of right hand sides NRHS. */ /* 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. */ /* NMAX (input) INTEGER */ /* The maximum value permitted for M or N, used in dimensioning */ /* the work arrays. */ /* A (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */ /* AFAC (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */ /* B (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */ /* where NSMAX is the largest entry in NSVAL. */ /* X (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */ /* WORK (workspace) DOUBLE PRECISION array, dimension */ /* (NMAX*max(3,NSMAX)) */ /* RWORK (workspace) DOUBLE PRECISION array, dimension */ /* (max(2*NMAX,2*NSMAX+NWORK)) */ /* SWORK (workspace) REAL array, dimension */ /* (NMAX*(NSMAX+NMAX)) */ /* IWORK (workspace) INTEGER array, dimension */ /* NMAX */ /* NOUT (input) INTEGER */ /* The unit number for output. */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. Local Arrays .. */ /* .. */ /* .. Local Variables .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Scalars in Common .. */ /* .. */ /* .. Common blocks .. */ /* .. */ /* .. Data statements .. */ /* Parameter adjustments */ --iwork; --swork; --rwork; --work; --x; --b; --afac; --a; --nsval; --mval; --dotype; /* Function Body */ /* .. */ /* .. Executable Statements .. */ /* Initialize constants and the random number seed. */ kase = 0; s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16); s_copy(path + 1, "GE", (ftnlen)2, (ftnlen)2); nrun = 0; nfail = 0; nerrs = 0; for (i__ = 1; i__ <= 4; ++i__) { iseed[i__ - 1] = iseedy[i__ - 1]; /* L10: */ } infoc_1.infot = 0; /* Do for each value of M in MVAL */ i__1 = *nm; for (im = 1; im <= i__1; ++im) { m = mval[im]; lda = max(1,m); n = m; nimat = 11; if (m <= 0 || 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 L100; } /* Skip types 5, 6, or 7 if the matrix size is too small. */ zerot = imat >= 5 && imat <= 7; if (zerot && n < imat - 4) { goto L100; } /* Set up parameters with DLATB4 and generate a test matrix */ /* with DLATMS. */ dlatb4_(path, &imat, &m, &n, type__, &kl, &ku, &anorm, &mode, & cndnum, dist); s_copy(srnamc_1.srnamt, "DLATMS", (ftnlen)32, (ftnlen)6); dlatms_(&m, &n, dist, iseed, type__, &rwork[1], &mode, &cndnum, & anorm, &kl, &ku, "No packing", &a[1], &lda, &work[1], & info); /* Check error code from DLATMS. */ if (info != 0) { alaerh_(path, "DLATMS", &info, &c__0, " ", &m, &n, &c_n1, & c_n1, &c_n1, &imat, &nfail, &nerrs, nout); goto L100; } /* For types 5-7, zero one or more columns of the matrix to */ /* test that INFO is returned correctly. */ if (zerot) { if (imat == 5) { izero = 1; } else if (imat == 6) { izero = min(m,n); } else { izero = min(m,n) / 2 + 1; } ioff = (izero - 1) * lda; if (imat < 7) { i__3 = m; for (i__ = 1; i__ <= i__3; ++i__) { a[ioff + i__] = 0.; /* L20: */ } } else { i__3 = n - izero + 1; dlaset_("Full", &m, &i__3, &c_b17, &c_b17, &a[ioff + 1], & lda); } } else { izero = 0; } i__3 = *nns; for (irhs = 1; irhs <= i__3; ++irhs) { nrhs = nsval[irhs]; *(unsigned char *)xtype = 'N'; *(unsigned char *)trans = 'N'; s_copy(srnamc_1.srnamt, "DLARHS", (ftnlen)32, (ftnlen)6); dlarhs_(path, xtype, " ", trans, &n, &n, &kl, &ku, &nrhs, &a[ 1], &lda, &x[1], &lda, &b[1], &lda, iseed, &info); s_copy(srnamc_1.srnamt, "DSGESV", (ftnlen)32, (ftnlen)6); ++kase; dlacpy_("Full", &m, &n, &a[1], &lda, &afac[1], &lda); dsgesv_(&n, &nrhs, &a[1], &lda, &iwork[1], &b[1], &lda, &x[1], &lda, &work[1], &swork[1], &iter, &info); if (iter < 0) { dlacpy_("Full", &m, &n, &afac[1], &lda, &a[1], &lda); } /* Check error code from DSGESV. This should be the same as */ /* the one of DGETRF. */ if (info != izero) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } ++nerrs; if (info != izero && izero != 0) { io___31.ciunit = *nout; s_wsfe(&io___31); do_fio(&c__1, "DSGESV", (ftnlen)6); do_fio(&c__1, (char *)&info, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&izero, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&m, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer)); e_wsfe(); } else { io___32.ciunit = *nout; s_wsfe(&io___32); do_fio(&c__1, "DSGESV", (ftnlen)6); do_fio(&c__1, (char *)&info, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&m, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer)); e_wsfe(); } } /* Skip the remaining test if the matrix is singular. */ if (info != 0) { goto L100; } /* Check the quality of the solution */ dlacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1], &lda); dget08_(trans, &n, &n, &nrhs, &a[1], &lda, &x[1], &lda, &work[ 1], &lda, &rwork[1], result); /* Check if the test passes the tesing. */ /* Print information about the tests that did not */ /* pass the testing. */ /* If iterative refinement has been used and claimed to */ /* be successful (ITER>0), we want */ /* NORM1(B - A*X)/(NORM1(A)*NORM1(X)*EPS*SRQT(N)) < 1 */ /* If double precision has been used (ITER<0), we want */ /* NORM1(B - A*X)/(NORM1(A)*NORM1(X)*EPS) < THRES */ /* (Cf. the linear solver testing routines) */ if (*thresh <= 0.f || iter >= 0 && n > 0 && result[0] >= sqrt( (doublereal) n) || iter < 0 && result[0] >= *thresh) { if (nfail == 0 && nerrs == 0) { io___34.ciunit = *nout; s_wsfe(&io___34); do_fio(&c__1, "DGE", (ftnlen)3); e_wsfe(); ci__1.cierr = 0; ci__1.ciunit = *nout; ci__1.cifmt = "( ' Matrix types:' )"; s_wsfe(&ci__1); e_wsfe(); io___35.ciunit = *nout; s_wsfe(&io___35); e_wsfe(); ci__1.cierr = 0; ci__1.ciunit = *nout; ci__1.cifmt = "( ' Test ratios:' )"; s_wsfe(&ci__1); e_wsfe(); io___36.ciunit = *nout; s_wsfe(&io___36); do_fio(&c__1, (char *)&c__1, (ftnlen)sizeof(integer)); e_wsfe(); ci__1.cierr = 0; ci__1.ciunit = *nout; ci__1.cifmt = "( ' Messages:' )"; s_wsfe(&ci__1); e_wsfe(); } io___37.ciunit = *nout; s_wsfe(&io___37); do_fio(&c__1, trans, (ftnlen)1); do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&nrhs, (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; /* L60: */ } L100: ; } /* L120: */ } /* Print a summary of the results. */ if (nfail > 0) { io___38.ciunit = *nout; s_wsfe(&io___38); do_fio(&c__1, "DSGESV", (ftnlen)6); do_fio(&c__1, (char *)&nfail, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&nrun, (ftnlen)sizeof(integer)); e_wsfe(); } else { io___39.ciunit = *nout; s_wsfe(&io___39); do_fio(&c__1, "DSGESV", (ftnlen)6); do_fio(&c__1, (char *)&nrun, (ftnlen)sizeof(integer)); e_wsfe(); } if (nerrs > 0) { io___40.ciunit = *nout; s_wsfe(&io___40); do_fio(&c__1, (char *)&nerrs, (ftnlen)sizeof(integer)); e_wsfe(); } /* SUBNAM, INFO, INFOE, M, IMAT */ /* SUBNAM, INFO, M, IMAT */ return 0; /* End of DDRVAB */ } /* ddrvab_ */