#include "f2c.h" #include "blaswrap.h" /* Table of constant values */ static integer c__8 = 8; static integer c__1 = 1; static integer c__0 = 0; /* Subroutine */ int dcklse_(integer *nn, integer *mval, integer *pval, integer *nval, integer *nmats, integer *iseed, doublereal *thresh, integer *nmax, doublereal *a, doublereal *af, doublereal *b, doublereal *bf, doublereal *x, doublereal *work, doublereal *rwork, integer *nin, integer *nout, integer *info) { /* Format strings */ static char fmt_9997[] = "(\002 *** Invalid input for LSE: M = \002," "i6,\002, P = \002,i6,\002, N = \002,i6,\002;\002,/\002 must " "satisfy P <= N <= P+M \002,\002(this set of values will be skip" "ped)\002)"; static char fmt_9999[] = "(\002 DLATMS in DCKLSE INFO = \002,i5)"; static char fmt_9998[] = "(\002 M=\002,i4,\002 P=\002,i4,\002, N=\002," "i4,\002, type \002,i2,\002, test \002,i2,\002, ratio=\002,g13.6)"; /* System generated locals */ integer i__1, i__2, i__3, i__4, i__5, i__6, i__7; /* Builtin functions */ /* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen); integer s_wsle(cilist *), e_wsle(void), s_wsfe(cilist *), do_fio(integer * , char *, ftnlen), e_wsfe(void); /* Local variables */ integer i__, m, n, p, ik, nt, lda, ldb, kla, klb, kua, kub, imat; char path[3], type__[1]; integer nrun, modea, modeb, nfail; char dista[1], distb[1]; integer iinfo; doublereal anorm, bnorm; integer lwork; extern /* Subroutine */ int dlatb9_(char *, integer *, integer *, integer *, integer *, char *, integer *, integer *, integer *, integer *, doublereal *, doublereal *, integer *, integer *, doublereal *, doublereal *, char *, char *), alahdg_(integer *, char *); doublereal cndnma, cndnmb; extern /* Subroutine */ int alareq_(char *, integer *, logical *, integer *, integer *, 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 *), dlatms_(integer *, integer *, char *, integer *, char *, doublereal *, integer *, doublereal *, doublereal *, integer *, integer *, char *, doublereal *, integer *, doublereal *, integer *), dlsets_(integer *, integer *, integer *, doublereal *, doublereal *, integer *, doublereal *, doublereal *, integer *, doublereal *, doublereal *, doublereal *, doublereal *, doublereal *, doublereal *, integer *, doublereal * , doublereal *); logical dotype[8], firstt; doublereal result[7]; /* Fortran I/O blocks */ static cilist io___13 = { 0, 0, 0, 0, 0 }; static cilist io___14 = { 0, 0, 0, fmt_9997, 0 }; static cilist io___30 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___31 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___35 = { 0, 0, 0, fmt_9998, 0 }; /* -- LAPACK test routine (version 3.1) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* DCKLSE tests DGGLSE - a subroutine for solving linear equality */ /* constrained least square problem (LSE). */ /* Arguments */ /* ========= */ /* NN (input) INTEGER */ /* The number of values of (M,P,N) contained in the vectors */ /* (MVAL, PVAL, NVAL). */ /* MVAL (input) INTEGER array, dimension (NN) */ /* The values of the matrix row(column) dimension M. */ /* PVAL (input) INTEGER array, dimension (NN) */ /* The values of the matrix row(column) dimension P. */ /* NVAL (input) INTEGER array, dimension (NN) */ /* The values of the matrix column(row) dimension N. */ /* NMATS (input) INTEGER */ /* The number of matrix types to be tested for each combination */ /* of matrix dimensions. If NMATS >= NTYPES (the maximum */ /* number of matrix types), then all the different types are */ /* generated for testing. If NMATS < NTYPES, another input line */ /* is read to get the numbers of the matrix types to be used. */ /* ISEED (input/output) INTEGER array, dimension (4) */ /* On entry, the seed of the random number generator. The array */ /* elements should be between 0 and 4095, otherwise they will be */ /* reduced mod 4096, and ISEED(4) must be odd. */ /* On exit, the next seed in the random number sequence after */ /* all the test matrices have been generated. */ /* 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) */ /* AF (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */ /* B (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */ /* BF (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */ /* X (workspace) DOUBLE PRECISION array, dimension (5*NMAX) */ /* WORK (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */ /* RWORK (workspace) DOUBLE PRECISION array, dimension (NMAX) */ /* NIN (input) INTEGER */ /* The unit number for input. */ /* NOUT (input) INTEGER */ /* The unit number for output. */ /* INFO (output) INTEGER */ /* = 0 : successful exit */ /* > 0 : If DLATMS returns an error code, the absolute value */ /* of it is returned. */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. Local Arrays .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Executable Statements .. */ /* Initialize constants and the random number seed. */ /* Parameter adjustments */ --rwork; --work; --x; --bf; --b; --af; --a; --iseed; --nval; --pval; --mval; /* Function Body */ s_copy(path, "LSE", (ftnlen)3, (ftnlen)3); *info = 0; nrun = 0; nfail = 0; firstt = TRUE_; alareq_(path, nmats, dotype, &c__8, nin, nout); lda = *nmax; ldb = *nmax; lwork = *nmax * *nmax; /* Check for valid input values. */ i__1 = *nn; for (ik = 1; ik <= i__1; ++ik) { m = mval[ik]; p = pval[ik]; n = nval[ik]; if (p > n || n > m + p) { if (firstt) { io___13.ciunit = *nout; s_wsle(&io___13); e_wsle(); firstt = FALSE_; } io___14.ciunit = *nout; s_wsfe(&io___14); do_fio(&c__1, (char *)&m, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&p, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); e_wsfe(); } /* L10: */ } firstt = TRUE_; /* Do for each value of M in MVAL. */ i__1 = *nn; for (ik = 1; ik <= i__1; ++ik) { m = mval[ik]; p = pval[ik]; n = nval[ik]; if (p > n || n > m + p) { goto L40; } for (imat = 1; imat <= 8; ++imat) { /* Do the tests only if DOTYPE( IMAT ) is true. */ if (! dotype[imat - 1]) { goto L30; } /* Set up parameters with DLATB9 and generate test */ /* matrices A and B with DLATMS. */ dlatb9_(path, &imat, &m, &p, &n, type__, &kla, &kua, &klb, &kub, & anorm, &bnorm, &modea, &modeb, &cndnma, &cndnmb, dista, distb); dlatms_(&m, &n, dista, &iseed[1], type__, &rwork[1], &modea, & cndnma, &anorm, &kla, &kua, "No packing", &a[1], &lda, & work[1], &iinfo); if (iinfo != 0) { io___30.ciunit = *nout; s_wsfe(&io___30); do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer)); e_wsfe(); *info = abs(iinfo); goto L30; } dlatms_(&p, &n, distb, &iseed[1], type__, &rwork[1], &modeb, & cndnmb, &bnorm, &klb, &kub, "No packing", &b[1], &ldb, & work[1], &iinfo); if (iinfo != 0) { io___31.ciunit = *nout; s_wsfe(&io___31); do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer)); e_wsfe(); *info = abs(iinfo); goto L30; } /* Generate the right-hand sides C and D for the LSE. */ /* Computing MAX */ i__3 = m - 1; i__2 = max(i__3,0); /* Computing MAX */ i__5 = n - 1; i__4 = max(i__5,0); i__6 = max(n,1); i__7 = max(m,1); dlarhs_("DGE", "New solution", "Upper", "N", &m, &n, &i__2, &i__4, &c__1, &a[1], &lda, &x[(*nmax << 2) + 1], &i__6, &x[1], & i__7, &iseed[1], &iinfo); /* Computing MAX */ i__3 = p - 1; i__2 = max(i__3,0); /* Computing MAX */ i__5 = n - 1; i__4 = max(i__5,0); i__6 = max(n,1); i__7 = max(p,1); dlarhs_("DGE", "Computed", "Upper", "N", &p, &n, &i__2, &i__4, & c__1, &b[1], &ldb, &x[(*nmax << 2) + 1], &i__6, &x[(*nmax << 1) + 1], &i__7, &iseed[1], &iinfo); nt = 2; dlsets_(&m, &p, &n, &a[1], &af[1], &lda, &b[1], &bf[1], &ldb, &x[ 1], &x[*nmax + 1], &x[(*nmax << 1) + 1], &x[*nmax * 3 + 1] , &x[(*nmax << 2) + 1], &work[1], &lwork, &rwork[1], result); /* Print information about the tests that did not */ /* pass the threshold. */ i__2 = nt; for (i__ = 1; i__ <= i__2; ++i__) { if (result[i__ - 1] >= *thresh) { if (nfail == 0 && firstt) { firstt = FALSE_; alahdg_(nout, path); } io___35.ciunit = *nout; s_wsfe(&io___35); do_fio(&c__1, (char *)&m, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&p, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&n, (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: ; } /* Print a summary of the results. */ alasum_(path, nout, &nfail, &nrun, &c__0); return 0; /* End of DCKLSE */ } /* dcklse_ */