#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, iounit; 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__9 = 9; static integer c__25 = 25; static integer c__1 = 1; static integer c__3 = 3; static doublereal c_b24 = 1.; static doublereal c_b25 = 0.; static integer c__0 = 0; static integer c_n1 = -1; static doublereal c_b92 = -1.; /* Subroutine */ int ddrvls_(logical *dotype, integer *nm, integer *mval, integer *nn, integer *nval, integer *nns, integer *nsval, integer * nnb, integer *nbval, integer *nxval, doublereal *thresh, logical * tsterr, doublereal *a, doublereal *copya, doublereal *b, doublereal * copyb, doublereal *c__, doublereal *s, doublereal *copys, doublereal * work, integer *iwork, integer *nout) { /* Initialized data */ static integer iseedy[4] = { 1988,1989,1990,1991 }; /* Format strings */ static char fmt_9999[] = "(\002 TRANS='\002,a1,\002', M=\002,i5,\002, N" "=\002,i5,\002, NRHS=\002,i4,\002, NB=\002,i4,\002, type\002,i2" ",\002, test(\002,i2,\002)=\002,g12.5)"; static char fmt_9998[] = "(\002 M=\002,i5,\002, N=\002,i5,\002, NRHS=" "\002,i4,\002, NB=\002,i4,\002, type\002,i2,\002, test(\002,i2" ",\002)=\002,g12.5)"; /* System generated locals */ integer i__1, i__2, i__3, i__4, i__5, i__6; doublereal d__1, d__2; /* Builtin functions Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen); double sqrt(doublereal), log(doublereal); integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void); /* Local variables */ static integer info; static char path[3]; static integer rank, nrhs, nlvl, nrun, i__, j, k; extern /* Subroutine */ int alahd_(integer *, char *); static integer m, n; extern /* Subroutine */ int dscal_(integer *, doublereal *, doublereal *, integer *); static integer nfail, iseed[4]; extern /* Subroutine */ int dgemm_(char *, char *, integer *, integer *, integer *, doublereal *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *, integer *); static integer crank; extern /* Subroutine */ int dgels_(char *, integer *, integer *, integer * , doublereal *, integer *, doublereal *, integer *, doublereal *, integer *, integer *); static integer irank; static doublereal rcond; extern doublereal dasum_(integer *, doublereal *, integer *); static integer itran, mnmin, ncols; static doublereal norma, normb; extern doublereal dqrt12_(integer *, integer *, doublereal *, integer *, doublereal *, doublereal *, integer *), dqrt14_(char *, integer *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, integer *), dqrt17_(char *, integer *, integer *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *, integer *); extern /* Subroutine */ int daxpy_(integer *, doublereal *, doublereal *, integer *, doublereal *, integer *); static char trans[1]; static integer nerrs, itype; extern /* Subroutine */ int dqrt13_(integer *, integer *, integer *, doublereal *, integer *, doublereal *, integer *); static integer lwork; extern /* Subroutine */ int dqrt15_(integer *, integer *, integer *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *, integer *, doublereal *, integer *), dqrt16_(char *, integer *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *); static integer nrows, lwlsy, nb, im, in; extern doublereal dlamch_(char *); extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *, char *, integer *, integer *, integer *, integer *, integer *, integer *, integer *, integer *, integer *); static integer iscale; extern /* Subroutine */ int dgelsd_(integer *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *, integer *, doublereal *, integer *, integer *, integer *), dlacpy_(char *, integer *, integer *, doublereal *, integer *, doublereal *, integer *), dgelss_(integer *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *, integer *, doublereal *, integer *, integer *), alasvm_(char *, integer *, integer *, integer *, integer *), dgelsx_(integer *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, integer *, doublereal *, integer *, doublereal *, integer *), dgelsy_(integer *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, integer *), dlarnv_(integer *, integer *, integer *, doublereal *), derrls_(char *, integer *), xlaenv_(integer *, integer *); static integer ldwork; static doublereal result[18]; static integer lda, ldb, inb; static doublereal eps; static integer ins; /* Fortran I/O blocks */ static cilist io___35 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___40 = { 0, 0, 0, fmt_9998, 0 }; static cilist io___42 = { 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 January 3, 2000 Purpose ======= DDRVLS tests the least squares driver routines DGELS, DGELSS, DGELSX, DGELSY and DGELSD. 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. The matrix of type j is generated as follows: j=1: A = U*D*V where U and V are random orthogonal matrices and D has random entries (> 0.1) taken from a uniform distribution (0,1). A is full rank. j=2: The same of 1, but A is scaled up. j=3: The same of 1, but A is scaled down. j=4: A = U*D*V where U and V are random orthogonal matrices and D has 3*min(M,N)/4 random entries (> 0.1) taken from a uniform distribution (0,1) and the remaining entries set to 0. A is rank-deficient. j=5: The same of 4, but A is scaled up. j=6: The same of 5, but A is scaled down. 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. 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. 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. 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) DOUBLE PRECISION array, dimension (MMAX*NMAX) where MMAX is the maximum value of M in MVAL and NMAX is the maximum value of N in NVAL. COPYA (workspace) DOUBLE PRECISION array, dimension (MMAX*NMAX) B (workspace) DOUBLE PRECISION array, dimension (MMAX*NSMAX) where MMAX is the maximum value of M in MVAL and NSMAX is the maximum value of NRHS in NSVAL. COPYB (workspace) DOUBLE PRECISION array, dimension (MMAX*NSMAX) C (workspace) DOUBLE PRECISION array, dimension (MMAX*NSMAX) S (workspace) DOUBLE PRECISION array, dimension (min(MMAX,NMAX)) COPYS (workspace) DOUBLE PRECISION array, dimension (min(MMAX,NMAX)) WORK (workspace) DOUBLE PRECISION array, dimension (MMAX*NMAX + 4*NMAX + MMAX). IWORK (workspace) INTEGER array, dimension (15*NMAX) NOUT (input) INTEGER The unit number for output. ===================================================================== Parameter adjustments */ --iwork; --work; --copys; --s; --c__; --copyb; --b; --copya; --a; --nxval; --nbval; --nsval; --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, "LS", (ftnlen)2, (ftnlen)2); nrun = 0; nfail = 0; nerrs = 0; for (i__ = 1; i__ <= 4; ++i__) { iseed[i__ - 1] = iseedy[i__ - 1]; /* L10: */ } eps = dlamch_("Epsilon"); /* Threshold for rank estimation */ rcond = sqrt(eps) - (sqrt(eps) - eps) / 2; /* Test the error exits */ if (*tsterr) { derrls_(path, nout); } /* Print the header if NM = 0 or NN = 0 and THRESH = 0. */ if ((*nm == 0 || *nn == 0) && *thresh == 0.) { alahd_(nout, path); } infoc_1.infot = 0; xlaenv_(&c__2, &c__2); xlaenv_(&c__9, &c__25); i__1 = *nm; for (im = 1; im <= i__1; ++im) { m = mval[im]; lda = max(1,m); i__2 = *nn; for (in = 1; in <= i__2; ++in) { n = nval[in]; mnmin = min(m,n); /* Computing MAX */ i__3 = max(1,m); ldb = max(i__3,n); i__3 = *nns; for (ins = 1; ins <= i__3; ++ins) { nrhs = nsval[ins]; /* Computing MAX Computing MAX */ d__1 = 1., d__2 = (doublereal) mnmin; i__4 = (integer) (log(max(d__1,d__2) / 26.) / log(2.)) + 1; nlvl = max(i__4,0); /* Computing MAX */ i__4 = 1, i__5 = (m + nrhs) * (n + 2), i__4 = max(i__4,i__5), i__5 = (n + nrhs) * (m + 2), i__4 = max(i__4,i__5), i__5 = m * n + (mnmin << 2) + max(m,n), i__4 = max( i__4,i__5), i__5 = mnmin * 12 + mnmin * 50 + (mnmin << 3) * nlvl + mnmin * nrhs + 676; lwork = max(i__4,i__5); for (irank = 1; irank <= 2; ++irank) { for (iscale = 1; iscale <= 3; ++iscale) { itype = (irank - 1) * 3 + iscale; if (! dotype[itype]) { goto L110; } if (irank == 1) { /* Test DGELS Generate a matrix of scaling type ISCALE */ dqrt13_(&iscale, &m, &n, ©a[1], &lda, &norma, iseed); i__4 = *nnb; for (inb = 1; inb <= i__4; ++inb) { nb = nbval[inb]; xlaenv_(&c__1, &nb); xlaenv_(&c__3, &nxval[inb]); for (itran = 1; itran <= 2; ++itran) { if (itran == 1) { *(unsigned char *)trans = 'N'; nrows = m; ncols = n; } else { *(unsigned char *)trans = 'T'; nrows = n; ncols = m; } ldwork = max(1,ncols); /* Set up a consistent rhs */ if (ncols > 0) { i__5 = ncols * nrhs; dlarnv_(&c__2, iseed, &i__5, &work[1]) ; i__5 = ncols * nrhs; d__1 = 1. / (doublereal) ncols; dscal_(&i__5, &d__1, &work[1], &c__1); } dgemm_(trans, "No transpose", &nrows, & nrhs, &ncols, &c_b24, ©a[1], & lda, &work[1], &ldwork, &c_b25, & b[1], &ldb) ; dlacpy_("Full", &nrows, &nrhs, &b[1], & ldb, ©b[1], &ldb); /* Solve LS or overdetermined system */ if (m > 0 && n > 0) { dlacpy_("Full", &m, &n, ©a[1], & lda, &a[1], &lda); dlacpy_("Full", &nrows, &nrhs, ©b[ 1], &ldb, &b[1], &ldb); } s_copy(srnamc_1.srnamt, "DGELS ", (ftnlen) 6, (ftnlen)6); dgels_(trans, &m, &n, &nrhs, &a[1], &lda, &b[1], &ldb, &work[1], &lwork, & info); if (info != 0) { alaerh_(path, "DGELS ", &info, &c__0, trans, &m, &n, &nrhs, &c_n1, & nb, &itype, &nfail, &nerrs, nout); } /* Check correctness of results */ ldwork = max(1,nrows); if (nrows > 0 && nrhs > 0) { dlacpy_("Full", &nrows, &nrhs, ©b[ 1], &ldb, &c__[1], &ldb); } dqrt16_(trans, &m, &n, &nrhs, ©a[1], & lda, &b[1], &ldb, &c__[1], &ldb, & work[1], result); if (itran == 1 && m >= n || itran == 2 && m < n) { /* Solving LS system */ result[1] = dqrt17_(trans, &c__1, &m, &n, &nrhs, ©a[1], &lda, & b[1], &ldb, ©b[1], &ldb, & c__[1], &work[1], &lwork); } else { /* Solving overdetermined system */ result[1] = dqrt14_(trans, &m, &n, & nrhs, ©a[1], &lda, &b[1], &ldb, &work[1], &lwork); } /* Print information about the tests that did not pass the threshold. */ for (k = 1; k <= 2; ++k) { if (result[k - 1] >= *thresh) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } io___35.ciunit = *nout; s_wsfe(&io___35); do_fio(&c__1, trans, (ftnlen)1); do_fio(&c__1, (char *)&m, (ftnlen) sizeof(integer)); do_fio(&c__1, (char *)&n, (ftnlen) sizeof(integer)); do_fio(&c__1, (char *)&nrhs, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&nb, ( ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&itype, ( 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; } /* L20: */ } nrun += 2; /* L30: */ } /* L40: */ } } /* Generate a matrix of scaling type ISCALE and rank type IRANK. */ dqrt15_(&iscale, &irank, &m, &n, &nrhs, ©a[1], & lda, ©b[1], &ldb, ©s[1], &rank, & norma, &normb, iseed, &work[1], &lwork); /* workspace used: MAX(M+MIN(M,N),NRHS*MIN(M,N),2*N+M) Initialize vector IWORK. */ i__4 = n; for (j = 1; j <= i__4; ++j) { iwork[j] = 0; /* L50: */ } ldwork = max(1,m); /* Test DGELSX DGELSX: Compute the minimum-norm solution X to min( norm( A * X - B ) ) using a complete orthogonal factorization. */ dlacpy_("Full", &m, &n, ©a[1], &lda, &a[1], &lda); dlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &b[1], & ldb); s_copy(srnamc_1.srnamt, "DGELSX", (ftnlen)6, (ftnlen) 6); dgelsx_(&m, &n, &nrhs, &a[1], &lda, &b[1], &ldb, & iwork[1], &rcond, &crank, &work[1], &info); if (info != 0) { alaerh_(path, "DGELSX", &info, &c__0, " ", &m, &n, &nrhs, &c_n1, &nb, &itype, &nfail, & nerrs, nout); } /* workspace used: MAX( MNMIN+3*N, 2*MNMIN+NRHS ) Test 3: Compute relative error in svd workspace: M*N + 4*MIN(M,N) + MAX(M,N) */ result[2] = dqrt12_(&crank, &crank, &a[1], &lda, & copys[1], &work[1], &lwork); /* Test 4: Compute error in solution workspace: M*NRHS + M */ dlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &work[1], &ldwork); dqrt16_("No transpose", &m, &n, &nrhs, ©a[1], & lda, &b[1], &ldb, &work[1], &ldwork, &work[m * nrhs + 1], &result[3]); /* Test 5: Check norm of r'*A workspace: NRHS*(M+N) */ result[4] = 0.; if (m > crank) { result[4] = dqrt17_("No transpose", &c__1, &m, &n, &nrhs, ©a[1], &lda, &b[1], &ldb, & copyb[1], &ldb, &c__[1], &work[1], &lwork); } /* Test 6: Check if x is in the rowspace of A workspace: (M+NRHS)*(N+2) */ result[5] = 0.; if (n > crank) { result[5] = dqrt14_("No transpose", &m, &n, &nrhs, ©a[1], &lda, &b[1], &ldb, &work[1], & lwork); } /* Print information about the tests that did not pass the threshold. */ for (k = 3; k <= 6; ++k) { if (result[k - 1] >= *thresh) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } io___40.ciunit = *nout; s_wsfe(&io___40); do_fio(&c__1, (char *)&m, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&n, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&nrhs, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&nb, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&itype, (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; } /* L60: */ } nrun += 4; /* Loop for testing different block sizes. */ i__4 = *nnb; for (inb = 1; inb <= i__4; ++inb) { nb = nbval[inb]; xlaenv_(&c__1, &nb); xlaenv_(&c__3, &nxval[inb]); /* Test DGELSY DGELSY: Compute the minimum-norm solution X to min( norm( A * X - B ) ) using the rank-revealing orthogonal factorization. Initialize vector IWORK. */ i__5 = n; for (j = 1; j <= i__5; ++j) { iwork[j] = 0; /* L70: */ } /* Set LWLSY to the adequate value. Computing MAX */ i__5 = 1, i__6 = mnmin + (n << 1) + nb * (n + 1), i__5 = max(i__5,i__6), i__6 = (mnmin << 1) + nb * nrhs; lwlsy = max(i__5,i__6); dlacpy_("Full", &m, &n, ©a[1], &lda, &a[1], & lda); dlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &b[1], &ldb); s_copy(srnamc_1.srnamt, "DGELSY", (ftnlen)6, ( ftnlen)6); dgelsy_(&m, &n, &nrhs, &a[1], &lda, &b[1], &ldb, & iwork[1], &rcond, &crank, &work[1], & lwlsy, &info); if (info != 0) { alaerh_(path, "DGELSY", &info, &c__0, " ", &m, &n, &nrhs, &c_n1, &nb, &itype, & nfail, &nerrs, nout); } /* Test 7: Compute relative error in svd workspace: M*N + 4*MIN(M,N) + MAX(M,N) */ result[6] = dqrt12_(&crank, &crank, &a[1], &lda, & copys[1], &work[1], &lwork); /* Test 8: Compute error in solution workspace: M*NRHS + M */ dlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &work[ 1], &ldwork); dqrt16_("No transpose", &m, &n, &nrhs, ©a[1], &lda, &b[1], &ldb, &work[1], &ldwork, & work[m * nrhs + 1], &result[7]); /* Test 9: Check norm of r'*A workspace: NRHS*(M+N) */ result[8] = 0.; if (m > crank) { result[8] = dqrt17_("No transpose", &c__1, &m, &n, &nrhs, ©a[1], &lda, &b[1], & ldb, ©b[1], &ldb, &c__[1], &work[ 1], &lwork); } /* Test 10: Check if x is in the rowspace of A workspace: (M+NRHS)*(N+2) */ result[9] = 0.; if (n > crank) { result[9] = dqrt14_("No transpose", &m, &n, & nrhs, ©a[1], &lda, &b[1], &ldb, & work[1], &lwork); } /* Test DGELSS DGELSS: Compute the minimum-norm solution X to min( norm( A * X - B ) ) using the SVD. */ dlacpy_("Full", &m, &n, ©a[1], &lda, &a[1], & lda); dlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &b[1], &ldb); s_copy(srnamc_1.srnamt, "DGELSS", (ftnlen)6, ( ftnlen)6); dgelss_(&m, &n, &nrhs, &a[1], &lda, &b[1], &ldb, & s[1], &rcond, &crank, &work[1], &lwork, & info); if (info != 0) { alaerh_(path, "DGELSS", &info, &c__0, " ", &m, &n, &nrhs, &c_n1, &nb, &itype, & nfail, &nerrs, nout); } /* workspace used: 3*min(m,n) + max(2*min(m,n),nrhs,max(m,n)) Test 11: Compute relative error in svd */ if (rank > 0) { daxpy_(&mnmin, &c_b92, ©s[1], &c__1, &s[1] , &c__1); result[10] = dasum_(&mnmin, &s[1], &c__1) / dasum_(&mnmin, ©s[1], &c__1) / ( eps * (doublereal) mnmin); } else { result[10] = 0.; } /* Test 12: Compute error in solution */ dlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &work[ 1], &ldwork); dqrt16_("No transpose", &m, &n, &nrhs, ©a[1], &lda, &b[1], &ldb, &work[1], &ldwork, & work[m * nrhs + 1], &result[11]); /* Test 13: Check norm of r'*A */ result[12] = 0.; if (m > crank) { result[12] = dqrt17_("No transpose", &c__1, & m, &n, &nrhs, ©a[1], &lda, &b[1], &ldb, ©b[1], &ldb, &c__[1], &work[ 1], &lwork); } /* Test 14: Check if x is in the rowspace of A */ result[13] = 0.; if (n > crank) { result[13] = dqrt14_("No transpose", &m, &n, & nrhs, ©a[1], &lda, &b[1], &ldb, & work[1], &lwork); } /* Test DGELSD DGELSD: Compute the minimum-norm solution X to min( norm( A * X - B ) ) using a divide and conquer SVD. Initialize vector IWORK. */ i__5 = n; for (j = 1; j <= i__5; ++j) { iwork[j] = 0; /* L80: */ } dlacpy_("Full", &m, &n, ©a[1], &lda, &a[1], & lda); dlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &b[1], &ldb); s_copy(srnamc_1.srnamt, "DGELSD", (ftnlen)6, ( ftnlen)6); dgelsd_(&m, &n, &nrhs, &a[1], &lda, &b[1], &ldb, & s[1], &rcond, &crank, &work[1], &lwork, & iwork[1], &info); if (info != 0) { alaerh_(path, "DGELSD", &info, &c__0, " ", &m, &n, &nrhs, &c_n1, &nb, &itype, & nfail, &nerrs, nout); } /* Test 15: Compute relative error in svd */ if (rank > 0) { daxpy_(&mnmin, &c_b92, ©s[1], &c__1, &s[1] , &c__1); result[14] = dasum_(&mnmin, &s[1], &c__1) / dasum_(&mnmin, ©s[1], &c__1) / ( eps * (doublereal) mnmin); } else { result[14] = 0.; } /* Test 16: Compute error in solution */ dlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &work[ 1], &ldwork); dqrt16_("No transpose", &m, &n, &nrhs, ©a[1], &lda, &b[1], &ldb, &work[1], &ldwork, & work[m * nrhs + 1], &result[15]); /* Test 17: Check norm of r'*A */ result[16] = 0.; if (m > crank) { result[16] = dqrt17_("No transpose", &c__1, & m, &n, &nrhs, ©a[1], &lda, &b[1], &ldb, ©b[1], &ldb, &c__[1], &work[ 1], &lwork); } /* Test 18: Check if x is in the rowspace of A */ result[17] = 0.; if (n > crank) { result[17] = dqrt14_("No transpose", &m, &n, & nrhs, ©a[1], &lda, &b[1], &ldb, & work[1], &lwork); } /* Print information about the tests that did not pass the threshold. */ for (k = 7; k <= 18; ++k) { if (result[k - 1] >= *thresh) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } io___42.ciunit = *nout; s_wsfe(&io___42); do_fio(&c__1, (char *)&m, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&n, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&nrhs, (ftnlen) sizeof(integer)); do_fio(&c__1, (char *)&nb, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&itype, (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; } /* L90: */ } nrun += 12; /* L100: */ } L110: ; } /* L120: */ } /* L130: */ } /* L140: */ } /* L150: */ } /* Print a summary of the results. */ alasvm_(path, nout, &nfail, &nrun, &nerrs); return 0; /* End of DDRVLS */ } /* ddrvls_ */