int pposymatinv(int N,double *A, char UPLO, double *determinant) { int INFO; dpptrf_(&UPLO,&N,A,&INFO); /* LAPACK routine DPPTRF computes the Cholesky factorization of a packed real symmetric positive definite matrix A stored in packed format. The factorization has the form A = U**T * U, if UPLO = 'U', or A = L * L**T, if UPLO = 'L', where U is an upper triangular matrix and L is lower triangular. Parameters in the order in which they appear in the function call: uplo="U" indicates the upper triangle, while uplo="L" indicates the lower triangle of the matrix packed into the vector A, N is the order of the matrix, A is the vector containing the packed matrix and INFO is the flag for the result. On exit, if INFO = 0, the triangular factor U or L from the Cholesky factorization A = U**T*U or A = L*L**T, in the same storage format as A. */ if (INFO==0) { int i; (*determinant)=1.0; if (UPLO=='U') { for (i=0; i<N; i++) { (*determinant)*=A[i+i*(i+1)/2]*A[i+i*(i+1)/2]; } } else { for (i=0; i<N; i++) { (*determinant)*=A[i+(i*(2*N-i-1))/2]*A[i+(i*(2*N-i-1))/2]; } } dpptri_(&UPLO,&N,A,&INFO); /* LAPACK routine DPPTRI computes the inverse of a packed real symmetric positive definite matrix A using the Cholesky factorization A = U**T*U or A = L*L**T computed by DPPTRF. Parameters in the order in which they appear in the function call: uplo="U" indicates the upper triangle, while uplo="L" indicates the lower triangle of the matrix packed into the vector A, N is the order of the matrix, A is the vector containing the packed matrix and INFO is the flag for the result. On exit, if INFO = 0, the upper or lower triangle of the (symmetric) inverse of A, overwriting the input factor U or L.*/ if (INFO!=0) { /* Marked by Wei-Chen Chen on 2008/12/26. * printf("\rProblem in pposymatinv: dpptri error %d",INFO); * Rprintf("dpptri error %d\n",INFO); */ } } else { /* Marked by Wei-Chen Chen on 2008/12/26. * printf("\rProblem in pposymatinv: dpptrf error %d",INFO); * Rprintf("dpptrf error %d\n", INFO); */ } return INFO; }
/* Subroutine */ int dchkpp_(logical *dotype, integer *nn, integer *nval, integer *nns, integer *nsval, doublereal *thresh, logical *tsterr, integer *nmax, doublereal *a, doublereal *afac, doublereal *ainv, doublereal *b, doublereal *x, doublereal *xact, doublereal *work, doublereal *rwork, integer *iwork, integer *nout) { /* Initialized data */ static integer iseedy[4] = { 1988,1989,1990,1991 }; static char uplos[1*2] = "U" "L"; static char packs[1*2] = "C" "R"; /* Format strings */ static char fmt_9999[] = "(\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[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002, " "NRHS=\002,i3,\002, type \002,i2,\002, test(\002,i2,\002) =\002,g" "12.5)"; /* System generated locals */ integer i__1, i__2, i__3; /* Builtin functions */ /* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen); integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void); /* Local variables */ integer i__, k, n, in, kl, ku, lda, npp, ioff, mode, imat, info; char path[3], dist[1]; integer irhs, nrhs; char uplo[1], type__[1]; integer nrun; extern /* Subroutine */ int alahd_(integer *, char *), dget04_( integer *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *); integer nfail, iseed[4]; extern doublereal dget06_(doublereal *, doublereal *); doublereal rcond; integer nimat; extern /* Subroutine */ int dppt01_(char *, integer *, doublereal *, doublereal *, doublereal *, doublereal *), dppt02_(char *, integer *, integer *, doublereal *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *), dppt03_(char *, integer *, doublereal *, doublereal *, doublereal *, integer *, doublereal *, doublereal *, doublereal *); doublereal anorm; extern /* Subroutine */ int dppt05_(char *, integer *, integer *, doublereal *, doublereal *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *, doublereal *), dcopy_(integer *, doublereal *, integer *, doublereal *, integer *); integer iuplo, 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 *); doublereal rcondc; char packit[1]; 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 *); extern doublereal dlansp_(char *, char *, integer *, doublereal *, doublereal *); extern /* Subroutine */ int alasum_(char *, integer *, integer *, integer *, integer *); doublereal cndnum; extern /* Subroutine */ int dlatms_(integer *, integer *, char *, integer *, char *, doublereal *, integer *, doublereal *, doublereal *, integer *, integer *, char *, doublereal *, integer *, doublereal *, integer *), dppcon_(char *, integer *, doublereal *, doublereal *, doublereal *, doublereal *, integer *, integer *), derrpo_(char *, integer *), dpprfs_( char *, integer *, integer *, doublereal *, doublereal *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *, doublereal *, integer *, integer *), dpptrf_(char *, integer *, doublereal *, integer *), dpptri_(char *, integer *, doublereal *, integer *), dpptrs_(char *, integer *, integer *, doublereal *, doublereal *, integer *, integer *); doublereal result[8]; /* Fortran I/O blocks */ static cilist io___34 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___37 = { 0, 0, 0, fmt_9998, 0 }; static cilist io___39 = { 0, 0, 0, fmt_9999, 0 }; /* -- LAPACK test routine (version 3.1) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* DCHKPP tests DPPTRF, -TRI, -TRS, -RFS, and -CON */ /* 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. */ /* 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. */ /* 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) DOUBLE PRECISION array, dimension */ /* (NMAX*(NMAX+1)/2) */ /* AFAC (workspace) DOUBLE PRECISION array, dimension */ /* (NMAX*(NMAX+1)/2) */ /* AINV (workspace) DOUBLE PRECISION array, dimension */ /* (NMAX*(NMAX+1)/2) */ /* B (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */ /* where NSMAX is the largest entry in NSVAL. */ /* X (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */ /* XACT (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */ /* WORK (workspace) DOUBLE PRECISION array, dimension */ /* (NMAX*max(3,NSMAX)) */ /* RWORK (workspace) DOUBLE PRECISION array, dimension */ /* (max(NMAX,2*NSMAX)) */ /* IWORK (workspace) INTEGER array, dimension (NMAX) */ /* NOUT (input) INTEGER */ /* The unit number for output. */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. Local Arrays .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Scalars in Common .. */ /* .. */ /* .. Common blocks .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Data statements .. */ /* Parameter adjustments */ --iwork; --rwork; --work; --xact; --x; --b; --ainv; --afac; --a; --nsval; --nval; --dotype; /* Function Body */ /* .. */ /* .. Executable Statements .. */ /* Initialize constants and the random number seed. */ s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16); s_copy(path + 1, "PP", (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) { derrpo_(path, nout); } infoc_1.infot = 0; /* 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 = 9; 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 L100; } /* Skip types 3, 4, or 5 if the matrix size is too small. */ zerot = imat >= 3 && imat <= 5; if (zerot && n < imat - 2) { goto L100; } /* Do first for UPLO = 'U', then for UPLO = 'L' */ for (iuplo = 1; iuplo <= 2; ++iuplo) { *(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1]; *(unsigned char *)packit = *(unsigned char *)&packs[iuplo - 1] ; /* Set up parameters with DLATB4 and generate a test matrix */ /* with DLATMS. */ dlatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode, &cndnum, dist); s_copy(srnamc_1.srnamt, "DLATMS", (ftnlen)32, (ftnlen)6); dlatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, & cndnum, &anorm, &kl, &ku, packit, &a[1], &lda, &work[ 1], &info); /* Check error code from DLATMS. */ if (info != 0) { alaerh_(path, "DLATMS", &info, &c__0, uplo, &n, &n, &c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, nout); goto L90; } /* For types 3-5, zero one row and column 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; } /* Set row and column IZERO of A to 0. */ if (iuplo == 1) { ioff = (izero - 1) * izero / 2; i__3 = izero - 1; for (i__ = 1; i__ <= i__3; ++i__) { a[ioff + i__] = 0.; /* L20: */ } ioff += izero; i__3 = n; for (i__ = izero; i__ <= i__3; ++i__) { a[ioff] = 0.; ioff += i__; /* L30: */ } } else { ioff = izero; i__3 = izero - 1; for (i__ = 1; i__ <= i__3; ++i__) { a[ioff] = 0.; ioff = ioff + n - i__; /* L40: */ } ioff -= izero; i__3 = n; for (i__ = izero; i__ <= i__3; ++i__) { a[ioff + i__] = 0.; /* L50: */ } } } else { izero = 0; } /* Compute the L*L' or U'*U factorization of the matrix. */ npp = n * (n + 1) / 2; dcopy_(&npp, &a[1], &c__1, &afac[1], &c__1); s_copy(srnamc_1.srnamt, "DPPTRF", (ftnlen)32, (ftnlen)6); dpptrf_(uplo, &n, &afac[1], &info); /* Check error code from DPPTRF. */ if (info != izero) { alaerh_(path, "DPPTRF", &info, &izero, uplo, &n, &n, & c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, nout); goto L90; } /* Skip the tests if INFO is not 0. */ if (info != 0) { goto L90; } /* + TEST 1 */ /* Reconstruct matrix from factors and compute residual. */ dcopy_(&npp, &afac[1], &c__1, &ainv[1], &c__1); dppt01_(uplo, &n, &a[1], &ainv[1], &rwork[1], result); /* + TEST 2 */ /* Form the inverse and compute the residual. */ dcopy_(&npp, &afac[1], &c__1, &ainv[1], &c__1); s_copy(srnamc_1.srnamt, "DPPTRI", (ftnlen)32, (ftnlen)6); dpptri_(uplo, &n, &ainv[1], &info); /* Check error code from DPPTRI. */ if (info != 0) { alaerh_(path, "DPPTRI", &info, &c__0, uplo, &n, &n, &c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, nout); } dppt03_(uplo, &n, &a[1], &ainv[1], &work[1], &lda, &rwork[1], &rcondc, &result[1]); /* 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___34.ciunit = *nout; s_wsfe(&io___34); 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( doublereal)); e_wsfe(); ++nfail; } /* L60: */ } nrun += 2; i__3 = *nns; for (irhs = 1; irhs <= i__3; ++irhs) { nrhs = nsval[irhs]; /* + TEST 3 */ /* Solve and compute residual for A * X = B. */ s_copy(srnamc_1.srnamt, "DLARHS", (ftnlen)32, (ftnlen)6); dlarhs_(path, xtype, uplo, " ", &n, &n, &kl, &ku, &nrhs, & a[1], &lda, &xact[1], &lda, &b[1], &lda, iseed, & info); dlacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &lda); s_copy(srnamc_1.srnamt, "DPPTRS", (ftnlen)32, (ftnlen)6); dpptrs_(uplo, &n, &nrhs, &afac[1], &x[1], &lda, &info); /* Check error code from DPPTRS. */ if (info != 0) { alaerh_(path, "DPPTRS", &info, &c__0, uplo, &n, &n, & c_n1, &c_n1, &nrhs, &imat, &nfail, &nerrs, nout); } dlacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1], &lda); dppt02_(uplo, &n, &nrhs, &a[1], &x[1], &lda, &work[1], & lda, &rwork[1], &result[2]); /* + TEST 4 */ /* Check solution from generated exact solution. */ dget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, & result[3]); /* + TESTS 5, 6, and 7 */ /* Use iterative refinement to improve the solution. */ s_copy(srnamc_1.srnamt, "DPPRFS", (ftnlen)32, (ftnlen)6); dpprfs_(uplo, &n, &nrhs, &a[1], &afac[1], &b[1], &lda, &x[ 1], &lda, &rwork[1], &rwork[nrhs + 1], &work[1], & iwork[1], &info); /* Check error code from DPPRFS. */ if (info != 0) { alaerh_(path, "DPPRFS", &info, &c__0, uplo, &n, &n, & c_n1, &c_n1, &nrhs, &imat, &nfail, &nerrs, nout); } dget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, & result[4]); dppt05_(uplo, &n, &nrhs, &a[1], &b[1], &lda, &x[1], &lda, &xact[1], &lda, &rwork[1], &rwork[nrhs + 1], & result[5]); /* Print information about the tests that did not pass */ /* the threshold. */ for (k = 3; k <= 7; ++k) { if (result[k - 1] >= *thresh) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } io___37.ciunit = *nout; s_wsfe(&io___37); do_fio(&c__1, uplo, (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 *)&k, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&result[k - 1], (ftnlen) sizeof(doublereal)); e_wsfe(); ++nfail; } /* L70: */ } nrun += 5; /* L80: */ } /* + TEST 8 */ /* Get an estimate of RCOND = 1/CNDNUM. */ anorm = dlansp_("1", uplo, &n, &a[1], &rwork[1]); s_copy(srnamc_1.srnamt, "DPPCON", (ftnlen)32, (ftnlen)6); dppcon_(uplo, &n, &afac[1], &anorm, &rcond, &work[1], &iwork[ 1], &info); /* Check error code from DPPCON. */ if (info != 0) { alaerh_(path, "DPPCON", &info, &c__0, uplo, &n, &n, &c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, nout); } result[7] = dget06_(&rcond, &rcondc); /* Print the test ratio if greater than or equal to THRESH. */ if (result[7] >= *thresh) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } io___39.ciunit = *nout; s_wsfe(&io___39); 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 *)&c__8, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&result[7], (ftnlen)sizeof( doublereal)); e_wsfe(); ++nfail; } ++nrun; L90: ; } L100: ; } /* L110: */ } /* Print a summary of the results. */ alasum_(path, nout, &nfail, &nrun, &nerrs); return 0; /* End of DCHKPP */ } /* dchkpp_ */
/* Subroutine */ int derrpo_(char *path, integer *nunit) { /* Builtin functions */ integer s_wsle(cilist *), e_wsle(void); /* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen); /* Local variables */ doublereal a[16] /* was [4][4] */, b[4]; integer i__, j; doublereal w[12], x[4]; char c2[2]; doublereal r1[4], r2[4], af[16] /* was [4][4] */; integer iw[4], info; doublereal anrm, rcond; extern /* Subroutine */ int dpbtf2_(char *, integer *, integer *, doublereal *, integer *, integer *), dpotf2_(char *, integer *, doublereal *, integer *, integer *), alaesm_( char *, logical *, integer *), dpbcon_(char *, integer *, integer *, doublereal *, integer *, doublereal *, doublereal *, doublereal *, integer *, integer *); extern logical lsamen_(integer *, char *, char *); extern /* Subroutine */ int dpbequ_(char *, integer *, integer *, doublereal *, integer *, doublereal *, doublereal *, doublereal *, integer *), dpbrfs_(char *, integer *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *, doublereal *, integer *, integer *), dpbtrf_(char *, integer *, integer *, doublereal *, integer *, integer *), dpocon_(char *, integer *, doublereal *, integer *, doublereal *, doublereal *, doublereal *, integer *, integer *), chkxer_(char *, integer *, integer *, logical *, logical *), dppcon_(char *, integer *, doublereal *, doublereal *, doublereal *, doublereal *, integer *, integer *), dpoequ_(integer *, doublereal *, integer *, doublereal *, doublereal *, doublereal *, integer *), dpbtrs_(char *, integer * , integer *, integer *, doublereal *, integer *, doublereal *, integer *, integer *), dporfs_(char *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *, doublereal *, integer *, integer *), dpotrf_(char *, integer *, doublereal *, integer *, integer *), dpotri_( char *, integer *, doublereal *, integer *, integer *), dppequ_(char *, integer *, doublereal *, doublereal *, doublereal *, doublereal *, integer *), dpprfs_(char *, integer *, integer *, doublereal *, doublereal *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *, doublereal *, integer *, integer *), dpptrf_(char *, integer *, doublereal *, integer *), dpptri_(char *, integer *, doublereal *, integer *), dpotrs_(char *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, integer *), dpptrs_(char *, integer *, integer *, doublereal *, doublereal *, integer *, integer *); /* Fortran I/O blocks */ static cilist io___1 = { 0, 0, 0, 0, 0 }; /* -- LAPACK test routine (version 3.1) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* DERRPO tests the error exits for the DOUBLE PRECISION routines */ /* for symmetric positive definite matrices. */ /* Arguments */ /* ========= */ /* PATH (input) CHARACTER*3 */ /* The LAPACK path name for the routines to be tested. */ /* NUNIT (input) INTEGER */ /* The unit number for output. */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. Local Arrays .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Scalars in Common .. */ /* .. */ /* .. Common blocks .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Executable Statements .. */ infoc_1.nout = *nunit; io___1.ciunit = infoc_1.nout; s_wsle(&io___1); e_wsle(); s_copy(c2, path + 1, (ftnlen)2, (ftnlen)2); /* Set the variables to innocuous values. */ for (j = 1; j <= 4; ++j) { for (i__ = 1; i__ <= 4; ++i__) { a[i__ + (j << 2) - 5] = 1. / (doublereal) (i__ + j); af[i__ + (j << 2) - 5] = 1. / (doublereal) (i__ + j); /* L10: */ } b[j - 1] = 0.; r1[j - 1] = 0.; r2[j - 1] = 0.; w[j - 1] = 0.; x[j - 1] = 0.; iw[j - 1] = j; /* L20: */ } infoc_1.ok = TRUE_; if (lsamen_(&c__2, c2, "PO")) { /* Test error exits of the routines that use the Cholesky */ /* decomposition of a symmetric positive definite matrix. */ /* DPOTRF */ s_copy(srnamc_1.srnamt, "DPOTRF", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; dpotrf_("/", &c__0, a, &c__1, &info); chkxer_("DPOTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; dpotrf_("U", &c_n1, a, &c__1, &info); chkxer_("DPOTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 4; dpotrf_("U", &c__2, a, &c__1, &info); chkxer_("DPOTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* DPOTF2 */ s_copy(srnamc_1.srnamt, "DPOTF2", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; dpotf2_("/", &c__0, a, &c__1, &info); chkxer_("DPOTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; dpotf2_("U", &c_n1, a, &c__1, &info); chkxer_("DPOTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 4; dpotf2_("U", &c__2, a, &c__1, &info); chkxer_("DPOTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* DPOTRI */ s_copy(srnamc_1.srnamt, "DPOTRI", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; dpotri_("/", &c__0, a, &c__1, &info); chkxer_("DPOTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; dpotri_("U", &c_n1, a, &c__1, &info); chkxer_("DPOTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 4; dpotri_("U", &c__2, a, &c__1, &info); chkxer_("DPOTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* DPOTRS */ s_copy(srnamc_1.srnamt, "DPOTRS", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; dpotrs_("/", &c__0, &c__0, a, &c__1, b, &c__1, &info); chkxer_("DPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; dpotrs_("U", &c_n1, &c__0, a, &c__1, b, &c__1, &info); chkxer_("DPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 3; dpotrs_("U", &c__0, &c_n1, a, &c__1, b, &c__1, &info); chkxer_("DPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 5; dpotrs_("U", &c__2, &c__1, a, &c__1, b, &c__2, &info); chkxer_("DPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 7; dpotrs_("U", &c__2, &c__1, a, &c__2, b, &c__1, &info); chkxer_("DPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* DPORFS */ s_copy(srnamc_1.srnamt, "DPORFS", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; dporfs_("/", &c__0, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &c__1, r1, r2, w, iw, &info); chkxer_("DPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; dporfs_("U", &c_n1, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &c__1, r1, r2, w, iw, &info); chkxer_("DPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 3; dporfs_("U", &c__0, &c_n1, a, &c__1, af, &c__1, b, &c__1, x, &c__1, r1, r2, w, iw, &info); chkxer_("DPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 5; dporfs_("U", &c__2, &c__1, a, &c__1, af, &c__2, b, &c__2, x, &c__2, r1, r2, w, iw, &info); chkxer_("DPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 7; dporfs_("U", &c__2, &c__1, a, &c__2, af, &c__1, b, &c__2, x, &c__2, r1, r2, w, iw, &info); chkxer_("DPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 9; dporfs_("U", &c__2, &c__1, a, &c__2, af, &c__2, b, &c__1, x, &c__2, r1, r2, w, iw, &info); chkxer_("DPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 11; dporfs_("U", &c__2, &c__1, a, &c__2, af, &c__2, b, &c__2, x, &c__1, r1, r2, w, iw, &info); chkxer_("DPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* DPOCON */ s_copy(srnamc_1.srnamt, "DPOCON", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; dpocon_("/", &c__0, a, &c__1, &anrm, &rcond, w, iw, &info); chkxer_("DPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; dpocon_("U", &c_n1, a, &c__1, &anrm, &rcond, w, iw, &info); chkxer_("DPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 4; dpocon_("U", &c__2, a, &c__1, &anrm, &rcond, w, iw, &info); chkxer_("DPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* DPOEQU */ s_copy(srnamc_1.srnamt, "DPOEQU", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; dpoequ_(&c_n1, a, &c__1, r1, &rcond, &anrm, &info); chkxer_("DPOEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 3; dpoequ_(&c__2, a, &c__1, r1, &rcond, &anrm, &info); chkxer_("DPOEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); } else if (lsamen_(&c__2, c2, "PP")) { /* Test error exits of the routines that use the Cholesky */ /* decomposition of a symmetric positive definite packed matrix. */ /* DPPTRF */ s_copy(srnamc_1.srnamt, "DPPTRF", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; dpptrf_("/", &c__0, a, &info); chkxer_("DPPTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; dpptrf_("U", &c_n1, a, &info); chkxer_("DPPTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* DPPTRI */ s_copy(srnamc_1.srnamt, "DPPTRI", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; dpptri_("/", &c__0, a, &info); chkxer_("DPPTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; dpptri_("U", &c_n1, a, &info); chkxer_("DPPTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* DPPTRS */ s_copy(srnamc_1.srnamt, "DPPTRS", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; dpptrs_("/", &c__0, &c__0, a, b, &c__1, &info); chkxer_("DPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; dpptrs_("U", &c_n1, &c__0, a, b, &c__1, &info); chkxer_("DPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 3; dpptrs_("U", &c__0, &c_n1, a, b, &c__1, &info); chkxer_("DPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 6; dpptrs_("U", &c__2, &c__1, a, b, &c__1, &info); chkxer_("DPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* DPPRFS */ s_copy(srnamc_1.srnamt, "DPPRFS", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; dpprfs_("/", &c__0, &c__0, a, af, b, &c__1, x, &c__1, r1, r2, w, iw, & info); chkxer_("DPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; dpprfs_("U", &c_n1, &c__0, a, af, b, &c__1, x, &c__1, r1, r2, w, iw, & info); chkxer_("DPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 3; dpprfs_("U", &c__0, &c_n1, a, af, b, &c__1, x, &c__1, r1, r2, w, iw, & info); chkxer_("DPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 7; dpprfs_("U", &c__2, &c__1, a, af, b, &c__1, x, &c__2, r1, r2, w, iw, & info); chkxer_("DPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 9; dpprfs_("U", &c__2, &c__1, a, af, b, &c__2, x, &c__1, r1, r2, w, iw, & info); chkxer_("DPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* DPPCON */ s_copy(srnamc_1.srnamt, "DPPCON", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; dppcon_("/", &c__0, a, &anrm, &rcond, w, iw, &info); chkxer_("DPPCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; dppcon_("U", &c_n1, a, &anrm, &rcond, w, iw, &info); chkxer_("DPPCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* DPPEQU */ s_copy(srnamc_1.srnamt, "DPPEQU", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; dppequ_("/", &c__0, a, r1, &rcond, &anrm, &info); chkxer_("DPPEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; dppequ_("U", &c_n1, a, r1, &rcond, &anrm, &info); chkxer_("DPPEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); } else if (lsamen_(&c__2, c2, "PB")) { /* Test error exits of the routines that use the Cholesky */ /* decomposition of a symmetric positive definite band matrix. */ /* DPBTRF */ s_copy(srnamc_1.srnamt, "DPBTRF", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; dpbtrf_("/", &c__0, &c__0, a, &c__1, &info); chkxer_("DPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; dpbtrf_("U", &c_n1, &c__0, a, &c__1, &info); chkxer_("DPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 3; dpbtrf_("U", &c__1, &c_n1, a, &c__1, &info); chkxer_("DPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 5; dpbtrf_("U", &c__2, &c__1, a, &c__1, &info); chkxer_("DPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* DPBTF2 */ s_copy(srnamc_1.srnamt, "DPBTF2", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; dpbtf2_("/", &c__0, &c__0, a, &c__1, &info); chkxer_("DPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; dpbtf2_("U", &c_n1, &c__0, a, &c__1, &info); chkxer_("DPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 3; dpbtf2_("U", &c__1, &c_n1, a, &c__1, &info); chkxer_("DPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 5; dpbtf2_("U", &c__2, &c__1, a, &c__1, &info); chkxer_("DPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* DPBTRS */ s_copy(srnamc_1.srnamt, "DPBTRS", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; dpbtrs_("/", &c__0, &c__0, &c__0, a, &c__1, b, &c__1, &info); chkxer_("DPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; dpbtrs_("U", &c_n1, &c__0, &c__0, a, &c__1, b, &c__1, &info); chkxer_("DPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 3; dpbtrs_("U", &c__1, &c_n1, &c__0, a, &c__1, b, &c__1, &info); chkxer_("DPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 4; dpbtrs_("U", &c__0, &c__0, &c_n1, a, &c__1, b, &c__1, &info); chkxer_("DPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 6; dpbtrs_("U", &c__2, &c__1, &c__1, a, &c__1, b, &c__1, &info); chkxer_("DPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 8; dpbtrs_("U", &c__2, &c__0, &c__1, a, &c__1, b, &c__1, &info); chkxer_("DPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* DPBRFS */ s_copy(srnamc_1.srnamt, "DPBRFS", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; dpbrfs_("/", &c__0, &c__0, &c__0, a, &c__1, af, &c__1, b, &c__1, x, & c__1, r1, r2, w, iw, &info); chkxer_("DPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; dpbrfs_("U", &c_n1, &c__0, &c__0, a, &c__1, af, &c__1, b, &c__1, x, & c__1, r1, r2, w, iw, &info); chkxer_("DPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 3; dpbrfs_("U", &c__1, &c_n1, &c__0, a, &c__1, af, &c__1, b, &c__1, x, & c__1, r1, r2, w, iw, &info); chkxer_("DPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 4; dpbrfs_("U", &c__0, &c__0, &c_n1, a, &c__1, af, &c__1, b, &c__1, x, & c__1, r1, r2, w, iw, &info); chkxer_("DPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 6; dpbrfs_("U", &c__2, &c__1, &c__1, a, &c__1, af, &c__2, b, &c__2, x, & c__2, r1, r2, w, iw, &info); chkxer_("DPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 8; dpbrfs_("U", &c__2, &c__1, &c__1, a, &c__2, af, &c__1, b, &c__2, x, & c__2, r1, r2, w, iw, &info); chkxer_("DPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 10; dpbrfs_("U", &c__2, &c__0, &c__1, a, &c__1, af, &c__1, b, &c__1, x, & c__2, r1, r2, w, iw, &info); chkxer_("DPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 12; dpbrfs_("U", &c__2, &c__0, &c__1, a, &c__1, af, &c__1, b, &c__2, x, & c__1, r1, r2, w, iw, &info); chkxer_("DPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* DPBCON */ s_copy(srnamc_1.srnamt, "DPBCON", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; dpbcon_("/", &c__0, &c__0, a, &c__1, &anrm, &rcond, w, iw, &info); chkxer_("DPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; dpbcon_("U", &c_n1, &c__0, a, &c__1, &anrm, &rcond, w, iw, &info); chkxer_("DPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 3; dpbcon_("U", &c__1, &c_n1, a, &c__1, &anrm, &rcond, w, iw, &info); chkxer_("DPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 5; dpbcon_("U", &c__2, &c__1, a, &c__1, &anrm, &rcond, w, iw, &info); chkxer_("DPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* DPBEQU */ s_copy(srnamc_1.srnamt, "DPBEQU", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; dpbequ_("/", &c__0, &c__0, a, &c__1, r1, &rcond, &anrm, &info); chkxer_("DPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; dpbequ_("U", &c_n1, &c__0, a, &c__1, r1, &rcond, &anrm, &info); chkxer_("DPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 3; dpbequ_("U", &c__1, &c_n1, a, &c__1, r1, &rcond, &anrm, &info); chkxer_("DPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 5; dpbequ_("U", &c__2, &c__1, a, &c__1, r1, &rcond, &anrm, &info); chkxer_("DPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); } /* Print a summary line. */ alaesm_(path, &infoc_1.ok, &infoc_1.nout); return 0; /* End of DERRPO */ } /* derrpo_ */
/* Subroutine */ int ddrvpp_(logical *dotype, integer *nn, integer *nval, integer *nrhs, doublereal *thresh, logical *tsterr, integer *nmax, doublereal *a, doublereal *afac, doublereal *asav, doublereal *b, doublereal *bsav, doublereal *x, doublereal *xact, doublereal *s, doublereal *work, doublereal *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*3] = "F" "N" "E"; static char packs[1*2] = "C" "R"; static char equeds[1*2] = "N" "Y"; /* Format strings */ static char fmt_9999[] = "(1x,a,\002, UPLO='\002,a1,\002', N =\002,i5" ",\002, type \002,i1,\002, test(\002,i1,\002)=\002,g12.5)"; static char fmt_9997[] = "(1x,a,\002, FACT='\002,a1,\002', UPLO='\002," "a1,\002', N=\002,i5,\002, EQUED='\002,a1,\002', type \002,i1," "\002, test(\002,i1,\002)=\002,g12.5)"; static char fmt_9998[] = "(1x,a,\002, FACT='\002,a1,\002', UPLO='\002," "a1,\002', N=\002,i5,\002, type \002,i1,\002, test(\002,i1,\002)" "=\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]; /* Local variables */ integer i__, k, n, k1, in, kl, ku, nt, lda, npp; char fact[1]; integer ioff, mode; doublereal amax; char path[3]; integer imat, info; char dist[1], uplo[1], type__[1]; integer nrun, ifact; integer nfail, iseed[4], nfact; char equed[1]; doublereal roldc, rcond, scond; integer nimat; doublereal anorm; logical equil; integer iuplo, izero, nerrs; logical zerot; char xtype[1]; logical prefac; doublereal rcondc; logical nofact; char packit[1]; integer iequed; doublereal cndnum; doublereal ainvnm; doublereal result[6]; /* Fortran I/O blocks */ static cilist io___49 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___52 = { 0, 0, 0, fmt_9997, 0 }; static cilist io___53 = { 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 */ /* ======= */ /* DDRVPP tests the driver routines DPPSV 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) 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 N, used in dimensioning the */ /* work arrays. */ /* A (workspace) DOUBLE PRECISION array, dimension */ /* (NMAX*(NMAX+1)/2) */ /* AFAC (workspace) DOUBLE PRECISION array, dimension */ /* (NMAX*(NMAX+1)/2) */ /* ASAV (workspace) DOUBLE PRECISION array, dimension */ /* (NMAX*(NMAX+1)/2) */ /* B (workspace) DOUBLE PRECISION array, dimension (NMAX*NRHS) */ /* BSAV (workspace) DOUBLE PRECISION array, dimension (NMAX*NRHS) */ /* X (workspace) DOUBLE PRECISION array, dimension (NMAX*NRHS) */ /* XACT (workspace) DOUBLE PRECISION array, dimension (NMAX*NRHS) */ /* S (workspace) DOUBLE PRECISION array, dimension (NMAX) */ /* WORK (workspace) DOUBLE PRECISION array, dimension */ /* (NMAX*max(3,NRHS)) */ /* RWORK (workspace) DOUBLE PRECISION array, dimension (NMAX+2*NRHS) */ /* IWORK (workspace) INTEGER array, dimension (NMAX) */ /* NOUT (input) INTEGER */ /* The unit number for output. */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. Local Arrays .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Scalars in Common .. */ /* .. */ /* .. Common blocks .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Data statements .. */ /* Parameter adjustments */ --iwork; --rwork; --work; --s; --xact; --x; --bsav; --b; --asav; --afac; --a; --nval; --dotype; /* Function Body */ /* .. */ /* .. Executable Statements .. */ /* Initialize constants and the random number seed. */ s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16); s_copy(path + 1, "PP", (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) { derrvx_(path, nout); } infoc_1.infot = 0; /* 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); npp = n * (n + 1) / 2; *(unsigned char *)xtype = 'N'; nimat = 9; 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 L130; } /* Skip types 3, 4, or 5 if the matrix size is too small. */ zerot = imat >= 3 && imat <= 5; if (zerot && n < imat - 2) { goto L130; } /* Do first for UPLO = 'U', then for UPLO = 'L' */ for (iuplo = 1; iuplo <= 2; ++iuplo) { *(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1]; *(unsigned char *)packit = *(unsigned char *)&packs[iuplo - 1] ; /* Set up parameters with DLATB4 and generate a test matrix */ /* with DLATMS. */ dlatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode, &cndnum, dist); rcondc = 1. / cndnum; s_copy(srnamc_1.srnamt, "DLATMS", (ftnlen)32, (ftnlen)6); dlatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, & cndnum, &anorm, &kl, &ku, packit, &a[1], &lda, &work[ 1], &info); /* Check error code from DLATMS. */ if (info != 0) { alaerh_(path, "DLATMS", &info, &c__0, uplo, &n, &n, &c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, nout); goto L120; } /* For types 3-5, zero one row and column 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; } /* Set row and column IZERO of A to 0. */ if (iuplo == 1) { ioff = (izero - 1) * izero / 2; i__3 = izero - 1; for (i__ = 1; i__ <= i__3; ++i__) { a[ioff + i__] = 0.; /* L20: */ } ioff += izero; i__3 = n; for (i__ = izero; i__ <= i__3; ++i__) { a[ioff] = 0.; ioff += i__; /* L30: */ } } else { ioff = izero; i__3 = izero - 1; for (i__ = 1; i__ <= i__3; ++i__) { a[ioff] = 0.; ioff = ioff + n - i__; /* L40: */ } ioff -= izero; i__3 = n; for (i__ = izero; i__ <= i__3; ++i__) { a[ioff + i__] = 0.; /* L50: */ } } } else { izero = 0; } /* Save a copy of the matrix A in ASAV. */ dcopy_(&npp, &a[1], &c__1, &asav[1], &c__1); for (iequed = 1; iequed <= 2; ++iequed) { *(unsigned char *)equed = *(unsigned char *)&equeds[ iequed - 1]; if (iequed == 1) { nfact = 3; } else { nfact = 1; } i__3 = nfact; for (ifact = 1; ifact <= i__3; ++ifact) { *(unsigned char *)fact = *(unsigned char *)&facts[ ifact - 1]; prefac = lsame_(fact, "F"); nofact = lsame_(fact, "N"); equil = lsame_(fact, "E"); if (zerot) { if (prefac) { goto L100; } rcondc = 0.; } else if (! lsame_(fact, "N")) { /* Compute the condition number for comparison with */ /* the value returned by DPPSVX (FACT = 'N' reuses */ /* the condition number from the previous iteration */ /* with FACT = 'F'). */ dcopy_(&npp, &asav[1], &c__1, &afac[1], &c__1); if (equil || iequed > 1) { /* Compute row and column scale factors to */ /* equilibrate the matrix A. */ dppequ_(uplo, &n, &afac[1], &s[1], &scond, & amax, &info); if (info == 0 && n > 0) { if (iequed > 1) { scond = 0.; } /* Equilibrate the matrix. */ dlaqsp_(uplo, &n, &afac[1], &s[1], &scond, &amax, equed); } } /* Save the condition number of the */ /* non-equilibrated system for use in DGET04. */ if (equil) { roldc = rcondc; } /* Compute the 1-norm of A. */ anorm = dlansp_("1", uplo, &n, &afac[1], &rwork[1] ); /* Factor the matrix A. */ dpptrf_(uplo, &n, &afac[1], &info); /* Form the inverse of A. */ dcopy_(&npp, &afac[1], &c__1, &a[1], &c__1); dpptri_(uplo, &n, &a[1], &info); /* Compute the 1-norm condition number of A. */ ainvnm = dlansp_("1", uplo, &n, &a[1], &rwork[1]); if (anorm <= 0. || ainvnm <= 0.) { rcondc = 1.; } else { rcondc = 1. / anorm / ainvnm; } } /* Restore the matrix A. */ dcopy_(&npp, &asav[1], &c__1, &a[1], &c__1); /* Form an exact solution and set the right hand side. */ s_copy(srnamc_1.srnamt, "DLARHS", (ftnlen)32, (ftnlen) 6); dlarhs_(path, xtype, uplo, " ", &n, &n, &kl, &ku, nrhs, &a[1], &lda, &xact[1], &lda, &b[1], & lda, iseed, &info); *(unsigned char *)xtype = 'C'; dlacpy_("Full", &n, nrhs, &b[1], &lda, &bsav[1], &lda); if (nofact) { /* --- Test DPPSV --- */ /* Compute the L*L' or U'*U factorization of the */ /* matrix and solve the system. */ dcopy_(&npp, &a[1], &c__1, &afac[1], &c__1); dlacpy_("Full", &n, nrhs, &b[1], &lda, &x[1], & lda); s_copy(srnamc_1.srnamt, "DPPSV ", (ftnlen)32, ( ftnlen)6); dppsv_(uplo, &n, nrhs, &afac[1], &x[1], &lda, & info); /* Check error code from DPPSV . */ if (info != izero) { alaerh_(path, "DPPSV ", &info, &izero, uplo, & n, &n, &c_n1, &c_n1, nrhs, &imat, & nfail, &nerrs, nout); goto L70; } else if (info != 0) { goto L70; } /* Reconstruct matrix from factors and compute */ /* residual. */ dppt01_(uplo, &n, &a[1], &afac[1], &rwork[1], result); /* Compute residual of the computed solution. */ dlacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], & lda); dppt02_(uplo, &n, nrhs, &a[1], &x[1], &lda, &work[ 1], &lda, &rwork[1], &result[1]); /* Check solution from generated exact solution. */ dget04_(&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__4 = nt; for (k = 1; k <= i__4; ++k) { if (result[k - 1] >= *thresh) { if (nfail == 0 && nerrs == 0) { aladhd_(nout, path); } io___49.ciunit = *nout; s_wsfe(&io___49); do_fio(&c__1, "DPPSV ", (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(doublereal)); e_wsfe(); ++nfail; } /* L60: */ } nrun += nt; L70: ; } /* --- Test DPPSVX --- */ if (! prefac && npp > 0) { dlaset_("Full", &npp, &c__1, &c_b60, &c_b60, & afac[1], &npp); } dlaset_("Full", &n, nrhs, &c_b60, &c_b60, &x[1], &lda); if (iequed > 1 && n > 0) { /* Equilibrate the matrix if FACT='F' and */ /* EQUED='Y'. */ dlaqsp_(uplo, &n, &a[1], &s[1], &scond, &amax, equed); } /* Solve the system and compute the condition number */ /* and error bounds using DPPSVX. */ s_copy(srnamc_1.srnamt, "DPPSVX", (ftnlen)32, (ftnlen) 6); dppsvx_(fact, uplo, &n, nrhs, &a[1], &afac[1], equed, &s[1], &b[1], &lda, &x[1], &lda, &rcond, & rwork[1], &rwork[*nrhs + 1], &work[1], &iwork[ 1], &info); /* Check the error code from DPPSVX. */ if (info != izero) { /* 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, "DPPSVX", &info, &izero, ch__1, &n, &n, &c_n1, &c_n1, nrhs, &imat, &nfail, & nerrs, nout); goto L90; } if (info == 0) { if (! prefac) { /* Reconstruct matrix from factors and compute */ /* residual. */ dppt01_(uplo, &n, &a[1], &afac[1], &rwork[(* nrhs << 1) + 1], result); k1 = 1; } else { k1 = 2; } /* Compute residual of the computed solution. */ dlacpy_("Full", &n, nrhs, &bsav[1], &lda, &work[1] , &lda); dppt02_(uplo, &n, nrhs, &asav[1], &x[1], &lda, & work[1], &lda, &rwork[(*nrhs << 1) + 1], & result[1]); /* Check solution from generated exact solution. */ if (nofact || prefac && lsame_(equed, "N")) { dget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, &result[2]); } else { dget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda, &roldc, &result[2]); } /* Check the error bounds from iterative */ /* refinement. */ dppt05_(uplo, &n, nrhs, &asav[1], &b[1], &lda, &x[ 1], &lda, &xact[1], &lda, &rwork[1], & rwork[*nrhs + 1], &result[3]); } else { k1 = 6; } /* Compare RCOND from DPPSVX with the computed value */ /* in RCONDC. */ result[5] = dget06_(&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); } if (prefac) { io___52.ciunit = *nout; s_wsfe(&io___52); do_fio(&c__1, "DPPSVX", (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, equed, (ftnlen)1); 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(doublereal)); e_wsfe(); } else { io___53.ciunit = *nout; s_wsfe(&io___53); do_fio(&c__1, "DPPSVX", (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(doublereal)); e_wsfe(); } ++nfail; } /* L80: */ } nrun = nrun + 7 - k1; L90: L100: ; } /* L110: */ } L120: ; } L130: ; } /* L140: */ } /* Print a summary of the results. */ alasvm_(path, nout, &nfail, &nrun, &nerrs); return 0; /* End of DDRVPP */ } /* ddrvpp_ */