#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__2 = 2; static integer c__0 = 0; static integer c_n1 = -1; static integer c__1 = 1; static integer c__3 = 3; /* Subroutine */ int dchkrq_(logical *dotype, integer *nm, integer *mval, integer *nn, integer *nval, integer *nnb, integer *nbval, integer * nxval, integer *nrhs, doublereal *thresh, logical *tsterr, integer * nmax, doublereal *a, doublereal *af, doublereal *aq, doublereal *ar, doublereal *ac, doublereal *b, doublereal *x, doublereal *xact, doublereal *tau, doublereal *work, doublereal *rwork, integer *iwork, integer *nout) { /* Initialized data */ static integer iseedy[4] = { 1988,1989,1990,1991 }; /* Format strings */ static char fmt_9999[] = "(\002 M=\002,i5,\002, N=\002,i5,\002, K=\002,i" "5,\002, NB=\002,i4,\002, NX=\002,i5,\002, type \002,i2,\002, tes" "t(\002,i2,\002)=\002,g12.5)"; /* System generated locals */ integer i__1, i__2, i__3, i__4, i__5; /* Builtin functions Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen); integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void); /* Local variables */ static integer mode, imat, info; static char path[3]; static integer kval[4]; static char dist[1], type__[1]; static integer nrun, i__; extern /* Subroutine */ int alahd_(integer *, char *); static integer k, m, n; extern /* Subroutine */ int dget02_(char *, integer *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *); static integer nfail, iseed[4]; extern /* Subroutine */ int drqt01_(integer *, integer *, doublereal *, doublereal *, doublereal *, doublereal *, integer *, doublereal *, doublereal *, integer *, doublereal *, doublereal *); static doublereal anorm; extern /* Subroutine */ int drqt02_(integer *, integer *, integer *, doublereal *, doublereal *, doublereal *, doublereal *, integer *, doublereal *, doublereal *, integer *, doublereal *, doublereal * ); static integer minmn; extern /* Subroutine */ int drqt03_(integer *, integer *, integer *, doublereal *, doublereal *, doublereal *, doublereal *, integer *, doublereal *, doublereal *, integer *, doublereal *, doublereal * ); static integer nerrs, lwork; extern /* Subroutine */ int dlatb4_(char *, integer *, integer *, integer *, char *, integer *, integer *, doublereal *, integer *, doublereal *, char *); static integer nb, ik, im, in, kl, nk; extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *, char *, integer *, integer *, integer *, integer *, integer *, integer *, integer *, integer *, integer *); static integer ku, nt, nx; extern /* Subroutine */ int 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 *), alasum_(char *, integer *, integer *, integer *, integer *); static doublereal cndnum; extern /* Subroutine */ int dgerqs_(integer *, integer *, integer *, doublereal *, integer *, doublereal *, doublereal *, integer *, doublereal *, integer *, integer *), dlatms_(integer *, integer *, char *, integer *, char *, doublereal *, integer *, doublereal *, doublereal *, integer *, integer *, char *, doublereal *, integer *, doublereal *, integer *), xlaenv_(integer *, integer *), derrrq_(char *, integer *); static doublereal result[7]; static integer lda, inb; /* Fortran I/O blocks */ static cilist io___33 = { 0, 0, 0, fmt_9999, 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 ======= DCHKRQ tests DGERQF, DORGRQ and DORMRQ. 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. 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. NNB (input) INTEGER The number of values of NB and NX contained in the vectors NBVAL and NXVAL. The blocking parameters are used in pairs (NB,NX). NBVAL (input) INTEGER array, dimension (NNB) The values of the blocksize NB. NXVAL (input) INTEGER array, dimension (NNB) The values of the crossover point NX. 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. 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) AF (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) AQ (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) AR (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) AC (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) B (workspace) DOUBLE PRECISION array, dimension (NMAX*NRHS) X (workspace) DOUBLE PRECISION array, dimension (NMAX*NRHS) XACT (workspace) DOUBLE PRECISION array, dimension (NMAX*NRHS) TAU (workspace) DOUBLE PRECISION array, dimension (NMAX) WORK (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) RWORK (workspace) DOUBLE PRECISION array, dimension (NMAX) IWORK (workspace) INTEGER array, dimension (NMAX) NOUT (input) INTEGER The unit number for output. ===================================================================== Parameter adjustments */ --iwork; --rwork; --work; --tau; --xact; --x; --b; --ac; --ar; --aq; --af; --a; --nxval; --nbval; --nval; --mval; --dotype; /* Function Body Initialize constants and the random number seed. */ s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16); s_copy(path + 1, "RQ", (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) { derrrq_(path, nout); } infoc_1.infot = 0; xlaenv_(&c__2, &c__2); lda = *nmax; lwork = *nmax * max(*nmax,*nrhs); /* Do for each value of M in MVAL. */ i__1 = *nm; for (im = 1; im <= i__1; ++im) { m = mval[im]; /* Do for each value of N in NVAL. */ i__2 = *nn; for (in = 1; in <= i__2; ++in) { n = nval[in]; minmn = min(m,n); for (imat = 1; imat <= 8; ++imat) { /* Do the tests only if DOTYPE( IMAT ) is true. */ if (! dotype[imat]) { goto L50; } /* 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)6, (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 L50; } /* Set some values for K: the first value must be MINMN, corresponding to the call of DRQT01; other values are used in the calls of DRQT02, and must not exceed MINMN. */ kval[0] = minmn; kval[1] = 0; kval[2] = 1; kval[3] = minmn / 2; if (minmn == 0) { nk = 1; } else if (minmn == 1) { nk = 2; } else if (minmn <= 3) { nk = 3; } else { nk = 4; } /* Do for each value of K in KVAL */ i__3 = nk; for (ik = 1; ik <= i__3; ++ik) { k = kval[ik - 1]; /* Do for each pair of values (NB,NX) in NBVAL and NXVAL. */ i__4 = *nnb; for (inb = 1; inb <= i__4; ++inb) { nb = nbval[inb]; xlaenv_(&c__1, &nb); nx = nxval[inb]; xlaenv_(&c__3, &nx); nt = 2; if (ik == 1) { /* Test DGERQF */ drqt01_(&m, &n, &a[1], &af[1], &aq[1], &ar[1], & lda, &tau[1], &work[1], &lwork, &rwork[1], result); } else if (m <= n) { /* Test DORGRQ, using factorization returned by DRQT01 */ drqt02_(&m, &n, &k, &a[1], &af[1], &aq[1], &ar[1], &lda, &tau[1], &work[1], &lwork, &rwork[ 1], result); } else { result[0] = 0.; result[1] = 0.; } if (m >= k) { /* Test DORMRQ, using factorization returned by DRQT01 */ drqt03_(&m, &n, &k, &af[1], &ac[1], &ar[1], &aq[1] , &lda, &tau[1], &work[1], &lwork, &rwork[ 1], &result[2]); nt += 4; /* If M>=N and K=N, call DGERQS to solve a system with NRHS right hand sides and compute the residual. */ if (k == m && inb == 1) { /* Generate a solution and set the right hand side. */ s_copy(srnamc_1.srnamt, "DLARHS", (ftnlen)6, ( ftnlen)6); dlarhs_(path, "New", "Full", "No transpose", & m, &n, &c__0, &c__0, nrhs, &a[1], & lda, &xact[1], &lda, &b[1], &lda, iseed, &info); dlacpy_("Full", &m, nrhs, &b[1], &lda, &x[n - m + 1], &lda); s_copy(srnamc_1.srnamt, "DGERQS", (ftnlen)6, ( ftnlen)6); dgerqs_(&m, &n, nrhs, &af[1], &lda, &tau[1], & x[1], &lda, &work[1], &lwork, &info); /* Check error code from DGERQS. */ if (info != 0) { alaerh_(path, "DGERQS", &info, &c__0, " ", &m, &n, nrhs, &c_n1, &nb, & imat, &nfail, &nerrs, nout); } dget02_("No transpose", &m, &n, nrhs, &a[1], & lda, &x[1], &lda, &b[1], &lda, &rwork[ 1], &result[6]); ++nt; } else { result[6] = 0.; } } else { result[2] = 0.; result[3] = 0.; result[4] = 0.; result[5] = 0.; } /* Print information about the tests that did not pass the threshold. */ i__5 = nt; for (i__ = 1; i__ <= i__5; ++i__) { if (result[i__ - 1] >= *thresh) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } io___33.ciunit = *nout; s_wsfe(&io___33); do_fio(&c__1, (char *)&m, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&n, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&k, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&nb, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&nx, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&imat, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&i__, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&result[i__ - 1], ( ftnlen)sizeof(doublereal)); e_wsfe(); ++nfail; } /* L20: */ } nrun += nt; /* L30: */ } /* L40: */ } L50: ; } /* L60: */ } /* L70: */ } /* Print a summary of the results. */ alasum_(path, nout, &nfail, &nrun, &nerrs); return 0; /* End of DCHKRQ */ } /* dchkrq_ */