#include "blaswrap.h" /* zdrvsg.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" /* Table of constant values */ static doublecomplex c_b1 = {0.,0.}; static doublecomplex c_b2 = {1.,0.}; static integer c__0 = 0; static integer c__6 = 6; static doublereal c_b33 = 1.; static integer c__1 = 1; static doublereal c_b43 = 0.; static integer c__4 = 4; static integer c__5 = 5; static doublereal c_b78 = 10.; static integer c__3 = 3; /* Subroutine */ int zdrvsg_(integer *nsizes, integer *nn, integer *ntypes, logical *dotype, integer *iseed, doublereal *thresh, integer *nounit, doublecomplex *a, integer *lda, doublecomplex *b, integer *ldb, doublereal *d__, doublecomplex *z__, integer *ldz, doublecomplex *ab, doublecomplex *bb, doublecomplex *ap, doublecomplex *bp, doublecomplex *work, integer *nwork, doublereal *rwork, integer * lrwork, integer *iwork, integer *liwork, doublereal *result, integer * info) { /* Initialized data */ static integer ktype[21] = { 1,2,4,4,4,4,4,5,5,5,5,5,8,8,8,9,9,9,9,9,9 }; static integer kmagn[21] = { 1,1,1,1,1,2,3,1,1,1,2,3,1,2,3,1,1,1,1,1,1 }; static integer kmode[21] = { 0,0,4,3,1,4,4,4,3,1,4,4,0,0,0,4,4,4,4,4,4 }; /* Format strings */ static char fmt_9999[] = "(\002 ZDRVSG: \002,a,\002 returned INFO=\002,i" "6,\002.\002,/9x,\002N=\002,i6,\002, JTYPE=\002,i6,\002, ISEED=" "(\002,3(i5,\002,\002),i5,\002)\002)"; /* System generated locals */ address a__1[3]; integer a_dim1, a_offset, ab_dim1, ab_offset, b_dim1, b_offset, bb_dim1, bb_offset, z_dim1, z_offset, i__1, i__2, i__3, i__4, i__5, i__6[3] , i__7; char ch__1[10], ch__2[11], ch__3[12], ch__4[13]; /* Builtin functions */ double sqrt(doublereal); integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void); /* Subroutine */ int s_cat(char *, char **, integer *, integer *, ftnlen); /* Local variables */ static integer i__, j, m, n, ka, kb, ij, il, iu; static doublereal vl, vu; static integer ka9, kb9; static doublereal ulp, cond; static integer jcol, nmax; static doublereal unfl, ovfl; static char uplo[1]; static logical badnn; static integer imode; extern logical lsame_(char *, char *); static integer iinfo; static doublereal aninv, anorm; static integer itemp; extern /* Subroutine */ int zhbgv_(char *, char *, integer *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublereal *, doublecomplex *, integer *, doublecomplex *, doublereal *, integer *); static integer nmats, jsize; extern /* Subroutine */ int zhegv_(integer *, char *, char *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublereal *, doublecomplex *, integer *, doublereal *, integer *), zsgt01_(integer *, char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublereal *, doublecomplex *, doublereal *, doublereal *); static integer nerrs, itype, jtype, ntest; extern /* Subroutine */ int zhpgv_(integer *, char *, char *, integer *, doublecomplex *, doublecomplex *, doublereal *, doublecomplex *, integer *, doublecomplex *, doublereal *, integer *); static integer iseed2[4]; extern /* Subroutine */ int dlabad_(doublereal *, doublereal *); extern doublereal dlamch_(char *), dlarnd_(integer *, integer *); static integer idumma[1]; extern /* Subroutine */ int dlafts_(char *, integer *, integer *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, integer *); static integer ioldsd[4]; extern /* Subroutine */ int xerbla_(char *, integer *); static doublereal abstol; extern /* Subroutine */ int dlasum_(char *, integer *, integer *, integer *), zhbgvd_(char *, char *, integer *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublereal *, doublecomplex *, integer *, doublecomplex *, integer *, doublereal *, integer *, integer *, integer *, integer *), zhegvd_(integer *, char *, char *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublereal *, doublecomplex *, integer *, doublereal *, integer *, integer *, integer *, integer *); static integer ibuplo, ibtype; extern /* Subroutine */ int zhpgvd_(integer *, char *, char *, integer *, doublecomplex *, doublecomplex *, doublereal *, doublecomplex *, integer *, doublecomplex *, integer *, doublereal *, integer *, integer *, integer *, integer *), zlacpy_(char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *), zlaset_(char *, integer *, integer *, doublecomplex *, doublecomplex *, doublecomplex *, integer *), zhbgvx_(char *, char *, char *, integer *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublereal *, doublereal *, integer * , integer *, doublereal *, integer *, doublereal *, doublecomplex *, integer *, doublecomplex *, doublereal *, integer *, integer *, integer *), zlatmr_(integer *, integer *, char *, integer *, char *, doublecomplex *, integer *, doublereal *, doublecomplex *, char *, char *, doublecomplex *, integer *, doublereal *, doublecomplex *, integer *, doublereal *, char *, integer *, integer *, integer *, doublereal *, doublereal *, char *, doublecomplex *, integer *, integer *, integer *); static doublereal rtunfl, rtovfl; static integer mtypes, ntestt; static doublereal ulpinv; extern /* Subroutine */ int zhegvx_(integer *, char *, char *, char *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublereal *, doublereal *, integer *, integer *, doublereal *, integer *, doublereal *, doublecomplex *, integer *, doublecomplex *, integer *, doublereal *, integer *, integer *, integer *), zhpgvx_(integer *, char *, char *, char *, integer *, doublecomplex *, doublecomplex *, doublereal *, doublereal *, integer *, integer *, doublereal *, integer *, doublereal *, doublecomplex *, integer *, doublecomplex *, doublereal *, integer *, integer *, integer *), zlatms_(integer *, integer *, char *, integer *, char *, doublereal *, integer *, doublereal *, doublereal *, integer *, integer *, char *, doublecomplex *, integer *, doublecomplex *, integer *); /* Fortran I/O blocks */ static cilist io___36 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___44 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___45 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___49 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___50 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___51 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___53 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___54 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___55 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___56 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___57 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___58 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___59 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___60 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___61 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___62 = { 0, 0, 0, fmt_9999, 0 }; /* -- LAPACK test routine (version 3.1) -- Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. November 2006 ********************************************************************* modified August 1997, a new parameter LRWORK and LIWORK are added in the calling sequence. test routine CDGT01 is also modified ********************************************************************* Purpose ======= ZDRVSG checks the complex Hermitian generalized eigenproblem drivers. ZHEGV computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian-definite generalized eigenproblem. ZHEGVD computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian-definite generalized eigenproblem using a divide and conquer algorithm. ZHEGVX computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian-definite generalized eigenproblem. ZHPGV computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian-definite generalized eigenproblem in packed storage. ZHPGVD computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian-definite generalized eigenproblem in packed storage using a divide and conquer algorithm. ZHPGVX computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian-definite generalized eigenproblem in packed storage. ZHBGV computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian-definite banded generalized eigenproblem. ZHBGVD computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian-definite banded generalized eigenproblem using a divide and conquer algorithm. ZHBGVX computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian-definite banded generalized eigenproblem. When ZDRVSG is called, a number of matrix "sizes" ("n's") and a number of matrix "types" are specified. For each size ("n") and each type of matrix, one matrix A of the given type will be generated; a random well-conditioned matrix B is also generated and the pair (A,B) is used to test the drivers. For each pair (A,B), the following tests are performed: (1) ZHEGV with ITYPE = 1 and UPLO ='U': | A Z - B Z D | / ( |A| |Z| n ulp ) (2) as (1) but calling ZHPGV (3) as (1) but calling ZHBGV (4) as (1) but with UPLO = 'L' (5) as (4) but calling ZHPGV (6) as (4) but calling ZHBGV (7) ZHEGV with ITYPE = 2 and UPLO ='U': | A B Z - Z D | / ( |A| |Z| n ulp ) (8) as (7) but calling ZHPGV (9) as (7) but with UPLO = 'L' (10) as (9) but calling ZHPGV (11) ZHEGV with ITYPE = 3 and UPLO ='U': | B A Z - Z D | / ( |A| |Z| n ulp ) (12) as (11) but calling ZHPGV (13) as (11) but with UPLO = 'L' (14) as (13) but calling ZHPGV ZHEGVD, ZHPGVD and ZHBGVD performed the same 14 tests. ZHEGVX, ZHPGVX and ZHBGVX performed the above 14 tests with the parameter RANGE = 'A', 'N' and 'I', respectively. The "sizes" are specified by an array NN(1:NSIZES); the value of each element NN(j) specifies one size. The "types" are specified by a logical array DOTYPE( 1:NTYPES ); if DOTYPE(j) is .TRUE., then matrix type "j" will be generated. This type is used for the matrix A which has half-bandwidth KA. B is generated as a well-conditioned positive definite matrix with half-bandwidth KB (<= KA). Currently, the list of possible types for A is: (1) The zero matrix. (2) The identity matrix. (3) A diagonal matrix with evenly spaced entries 1, ..., ULP and random signs. (ULP = (first number larger than 1) - 1 ) (4) A diagonal matrix with geometrically spaced entries 1, ..., ULP and random signs. (5) A diagonal matrix with "clustered" entries 1, ULP, ..., ULP and random signs. (6) Same as (4), but multiplied by SQRT( overflow threshold ) (7) Same as (4), but multiplied by SQRT( underflow threshold ) (8) A matrix of the form U* D U, where U is unitary and D has evenly spaced entries 1, ..., ULP with random signs on the diagonal. (9) A matrix of the form U* D U, where U is unitary and D has geometrically spaced entries 1, ..., ULP with random signs on the diagonal. (10) A matrix of the form U* D U, where U is unitary and D has "clustered" entries 1, ULP,..., ULP with random signs on the diagonal. (11) Same as (8), but multiplied by SQRT( overflow threshold ) (12) Same as (8), but multiplied by SQRT( underflow threshold ) (13) Hermitian matrix with random entries chosen from (-1,1). (14) Same as (13), but multiplied by SQRT( overflow threshold ) (15) Same as (13), but multiplied by SQRT( underflow threshold ) (16) Same as (8), but with KA = 1 and KB = 1 (17) Same as (8), but with KA = 2 and KB = 1 (18) Same as (8), but with KA = 2 and KB = 2 (19) Same as (8), but with KA = 3 and KB = 1 (20) Same as (8), but with KA = 3 and KB = 2 (21) Same as (8), but with KA = 3 and KB = 3 Arguments ========= NSIZES INTEGER The number of sizes of matrices to use. If it is zero, ZDRVSG does nothing. It must be at least zero. Not modified. NN INTEGER array, dimension (NSIZES) An array containing the sizes to be used for the matrices. Zero values will be skipped. The values must be at least zero. Not modified. NTYPES INTEGER The number of elements in DOTYPE. If it is zero, ZDRVSG does nothing. It must be at least zero. If it is MAXTYP+1 and NSIZES is 1, then an additional type, MAXTYP+1 is defined, which is to use whatever matrix is in A. This is only useful if DOTYPE(1:MAXTYP) is .FALSE. and DOTYPE(MAXTYP+1) is .TRUE. . Not modified. DOTYPE LOGICAL array, dimension (NTYPES) If DOTYPE(j) is .TRUE., then for each size in NN a matrix of that size and of type j will be generated. If NTYPES is smaller than the maximum number of types defined (PARAMETER MAXTYP), then types NTYPES+1 through MAXTYP will not be generated. If NTYPES is larger than MAXTYP, DOTYPE(MAXTYP+1) through DOTYPE(NTYPES) will be ignored. Not modified. ISEED INTEGER array, dimension (4) On entry ISEED specifies the seed of the random number generator. The array elements should be between 0 and 4095; if not they will be reduced mod 4096. Also, ISEED(4) must be odd. The random number generator uses a linear congruential sequence limited to small integers, and so should produce machine independent random numbers. The values of ISEED are changed on exit, and can be used in the next call to ZDRVSG to continue the same random number sequence. Modified. THRESH DOUBLE PRECISION A test will count as "failed" if the "error", computed as described above, exceeds THRESH. Note that the error is scaled to be O(1), so THRESH should be a reasonably small multiple of 1, e.g., 10 or 100. In particular, it should not depend on the precision (single vs. double) or the size of the matrix. It must be at least zero. Not modified. NOUNIT INTEGER The FORTRAN unit number for printing out error messages (e.g., if a routine returns IINFO not equal to 0.) Not modified. A COMPLEX*16 array, dimension (LDA , max(NN)) Used to hold the matrix whose eigenvalues are to be computed. On exit, A contains the last matrix actually used. Modified. LDA INTEGER The leading dimension of A. It must be at least 1 and at least max( NN ). Not modified. B COMPLEX*16 array, dimension (LDB , max(NN)) Used to hold the Hermitian positive definite matrix for the generailzed problem. On exit, B contains the last matrix actually used. Modified. LDB INTEGER The leading dimension of B. It must be at least 1 and at least max( NN ). Not modified. D DOUBLE PRECISION array, dimension (max(NN)) The eigenvalues of A. On exit, the eigenvalues in D correspond with the matrix in A. Modified. Z COMPLEX*16 array, dimension (LDZ, max(NN)) The matrix of eigenvectors. Modified. LDZ INTEGER The leading dimension of ZZ. It must be at least 1 and at least max( NN ). Not modified. AB COMPLEX*16 array, dimension (LDA, max(NN)) Workspace. Modified. BB COMPLEX*16 array, dimension (LDB, max(NN)) Workspace. Modified. AP COMPLEX*16 array, dimension (max(NN)**2) Workspace. Modified. BP COMPLEX*16 array, dimension (max(NN)**2) Workspace. Modified. WORK COMPLEX*16 array, dimension (NWORK) Workspace. Modified. NWORK INTEGER The number of entries in WORK. This must be at least 2*N + N**2 where N = max( NN(j), 2 ). Not modified. RWORK DOUBLE PRECISION array, dimension (LRWORK) Workspace. Modified. LRWORK INTEGER The number of entries in RWORK. This must be at least max( 7*N, 1 + 4*N + 2*N*lg(N) + 3*N**2 ) where N = max( NN(j) ) and lg( N ) = smallest integer k such that 2**k >= N . Not modified. IWORK INTEGER array, dimension (LIWORK)) Workspace. Modified. LIWORK INTEGER The number of entries in IWORK. This must be at least 2 + 5*max( NN(j) ). Not modified. RESULT DOUBLE PRECISION array, dimension (70) The values computed by the 70 tests described above. Modified. INFO INTEGER If 0, then everything ran OK. -1: NSIZES < 0 -2: Some NN(j) < 0 -3: NTYPES < 0 -5: THRESH < 0 -9: LDA < 1 or LDA < NMAX, where NMAX is max( NN(j) ). -16: LDZ < 1 or LDZ < NMAX. -21: NWORK too small. -23: LRWORK too small. -25: LIWORK too small. If ZLATMR, CLATMS, ZHEGV, ZHPGV, ZHBGV, CHEGVD, CHPGVD, ZHPGVD, ZHEGVX, CHPGVX, ZHBGVX returns an error code, the absolute value of it is returned. Modified. ----------------------------------------------------------------------- Some Local Variables and Parameters: ---- ----- --------- --- ---------- ZERO, ONE Real 0 and 1. MAXTYP The number of types defined. NTEST The number of tests that have been run on this matrix. NTESTT The total number of tests for this call. NMAX Largest value in NN. NMATS The number of matrices generated so far. NERRS The number of tests which have exceeded THRESH so far (computed by DLAFTS). COND, IMODE Values to be passed to the matrix generators. ANORM Norm of A; passed to matrix generators. OVFL, UNFL Overflow and underflow thresholds. ULP, ULPINV Finest relative precision and its inverse. RTOVFL, RTUNFL Square roots of the previous 2 values. The following four arrays decode JTYPE: KTYPE(j) The general type (1-10) for type "j". KMODE(j) The MODE value to be passed to the matrix generator for type "j". KMAGN(j) The order of magnitude ( O(1), O(overflow^(1/2) ), O(underflow^(1/2) ) ===================================================================== Parameter adjustments */ --nn; --dotype; --iseed; ab_dim1 = *lda; ab_offset = 1 + ab_dim1; ab -= ab_offset; a_dim1 = *lda; a_offset = 1 + a_dim1; a -= a_offset; bb_dim1 = *ldb; bb_offset = 1 + bb_dim1; bb -= bb_offset; b_dim1 = *ldb; b_offset = 1 + b_dim1; b -= b_offset; --d__; z_dim1 = *ldz; z_offset = 1 + z_dim1; z__ -= z_offset; --ap; --bp; --work; --rwork; --iwork; --result; /* Function Body 1) Check for errors */ ntestt = 0; *info = 0; badnn = FALSE_; nmax = 0; i__1 = *nsizes; for (j = 1; j <= i__1; ++j) { /* Computing MAX */ i__2 = nmax, i__3 = nn[j]; nmax = max(i__2,i__3); if (nn[j] < 0) { badnn = TRUE_; } /* L10: */ } /* Check for errors */ if (*nsizes < 0) { *info = -1; } else if (badnn) { *info = -2; } else if (*ntypes < 0) { *info = -3; } else if (*lda <= 1 || *lda < nmax) { *info = -9; } else if (*ldz <= 1 || *ldz < nmax) { *info = -16; } else /* if(complicated condition) */ { /* Computing 2nd power */ i__1 = max(nmax,2); if (i__1 * i__1 << 1 > *nwork) { *info = -21; } else /* if(complicated condition) */ { /* Computing 2nd power */ i__1 = max(nmax,2); if (i__1 * i__1 << 1 > *lrwork) { *info = -23; } else /* if(complicated condition) */ { /* Computing 2nd power */ i__1 = max(nmax,2); if (i__1 * i__1 << 1 > *liwork) { *info = -25; } } } } if (*info != 0) { i__1 = -(*info); xerbla_("ZDRVSG", &i__1); return 0; } /* Quick return if possible */ if (*nsizes == 0 || *ntypes == 0) { return 0; } /* More Important constants */ unfl = dlamch_("Safe minimum"); ovfl = dlamch_("Overflow"); dlabad_(&unfl, &ovfl); ulp = dlamch_("Epsilon") * dlamch_("Base"); ulpinv = 1. / ulp; rtunfl = sqrt(unfl); rtovfl = sqrt(ovfl); for (i__ = 1; i__ <= 4; ++i__) { iseed2[i__ - 1] = iseed[i__]; /* L20: */ } /* Loop over sizes, types */ nerrs = 0; nmats = 0; i__1 = *nsizes; for (jsize = 1; jsize <= i__1; ++jsize) { n = nn[jsize]; aninv = 1. / (doublereal) max(1,n); if (*nsizes != 1) { mtypes = min(21,*ntypes); } else { mtypes = min(22,*ntypes); } ka9 = 0; kb9 = 0; i__2 = mtypes; for (jtype = 1; jtype <= i__2; ++jtype) { if (! dotype[jtype]) { goto L640; } ++nmats; ntest = 0; for (j = 1; j <= 4; ++j) { ioldsd[j - 1] = iseed[j]; /* L30: */ } /* 2) Compute "A" Control parameters: KMAGN KMODE KTYPE =1 O(1) clustered 1 zero =2 large clustered 2 identity =3 small exponential (none) =4 arithmetic diagonal, w/ eigenvalues =5 random log hermitian, w/ eigenvalues =6 random (none) =7 random diagonal =8 random hermitian =9 banded, w/ eigenvalues */ if (mtypes > 21) { goto L90; } itype = ktype[jtype - 1]; imode = kmode[jtype - 1]; /* Compute norm */ switch (kmagn[jtype - 1]) { case 1: goto L40; case 2: goto L50; case 3: goto L60; } L40: anorm = 1.; goto L70; L50: anorm = rtovfl * ulp * aninv; goto L70; L60: anorm = rtunfl * n * ulpinv; goto L70; L70: iinfo = 0; cond = ulpinv; /* Special Matrices -- Identity & Jordan block */ if (itype == 1) { /* Zero */ ka = 0; kb = 0; zlaset_("Full", lda, &n, &c_b1, &c_b1, &a[a_offset], lda); } else if (itype == 2) { /* Identity */ ka = 0; kb = 0; zlaset_("Full", lda, &n, &c_b1, &c_b1, &a[a_offset], lda); i__3 = n; for (jcol = 1; jcol <= i__3; ++jcol) { i__4 = jcol + jcol * a_dim1; a[i__4].r = anorm, a[i__4].i = 0.; /* L80: */ } } else if (itype == 4) { /* Diagonal Matrix, [Eigen]values Specified */ ka = 0; kb = 0; zlatms_(&n, &n, "S", &iseed[1], "H", &rwork[1], &imode, &cond, &anorm, &c__0, &c__0, "N", &a[a_offset], lda, &work[ 1], &iinfo); } else if (itype == 5) { /* Hermitian, eigenvalues specified Computing MAX */ i__3 = 0, i__4 = n - 1; ka = max(i__3,i__4); kb = ka; zlatms_(&n, &n, "S", &iseed[1], "H", &rwork[1], &imode, &cond, &anorm, &n, &n, "N", &a[a_offset], lda, &work[1], & iinfo); } else if (itype == 7) { /* Diagonal, random eigenvalues */ ka = 0; kb = 0; zlatmr_(&n, &n, "S", &iseed[1], "H", &work[1], &c__6, &c_b33, &c_b2, "T", "N", &work[n + 1], &c__1, &c_b33, &work[( n << 1) + 1], &c__1, &c_b33, "N", idumma, &c__0, & c__0, &c_b43, &anorm, "NO", &a[a_offset], lda, &iwork[ 1], &iinfo); } else if (itype == 8) { /* Hermitian, random eigenvalues Computing MAX */ i__3 = 0, i__4 = n - 1; ka = max(i__3,i__4); kb = ka; zlatmr_(&n, &n, "S", &iseed[1], "H", &work[1], &c__6, &c_b33, &c_b2, "T", "N", &work[n + 1], &c__1, &c_b33, &work[( n << 1) + 1], &c__1, &c_b33, "N", idumma, &n, &n, & c_b43, &anorm, "NO", &a[a_offset], lda, &iwork[1], & iinfo); } else if (itype == 9) { /* Hermitian banded, eigenvalues specified The following values are used for the half-bandwidths: ka = 1 kb = 1 ka = 2 kb = 1 ka = 2 kb = 2 ka = 3 kb = 1 ka = 3 kb = 2 ka = 3 kb = 3 */ ++kb9; if (kb9 > ka9) { ++ka9; kb9 = 1; } /* Computing MAX Computing MIN */ i__5 = n - 1; i__3 = 0, i__4 = min(i__5,ka9); ka = max(i__3,i__4); /* Computing MAX Computing MIN */ i__5 = n - 1; i__3 = 0, i__4 = min(i__5,kb9); kb = max(i__3,i__4); zlatms_(&n, &n, "S", &iseed[1], "H", &rwork[1], &imode, &cond, &anorm, &ka, &ka, "N", &a[a_offset], lda, &work[1], & iinfo); } else { iinfo = 1; } if (iinfo != 0) { io___36.ciunit = *nounit; s_wsfe(&io___36); do_fio(&c__1, "Generator", (ftnlen)9); do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer)); do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer)); e_wsfe(); *info = abs(iinfo); return 0; } L90: abstol = unfl + unfl; if (n <= 1) { il = 1; iu = n; } else { il = (integer) ((n - 1) * dlarnd_(&c__1, iseed2) + 1); iu = (integer) ((n - 1) * dlarnd_(&c__1, iseed2) + 1); if (il > iu) { itemp = il; il = iu; iu = itemp; } } /* 3) Call ZHEGV, ZHPGV, ZHBGV, CHEGVD, CHPGVD, CHBGVD, ZHEGVX, ZHPGVX and ZHBGVX, do tests. loop over the three generalized problems IBTYPE = 1: A*x = (lambda)*B*x IBTYPE = 2: A*B*x = (lambda)*x IBTYPE = 3: B*A*x = (lambda)*x */ for (ibtype = 1; ibtype <= 3; ++ibtype) { /* loop over the setting UPLO */ for (ibuplo = 1; ibuplo <= 2; ++ibuplo) { if (ibuplo == 1) { *(unsigned char *)uplo = 'U'; } if (ibuplo == 2) { *(unsigned char *)uplo = 'L'; } /* Generate random well-conditioned positive definite matrix B, of bandwidth not greater than that of A. */ zlatms_(&n, &n, "U", &iseed[1], "P", &rwork[1], &c__5, & c_b78, &c_b33, &kb, &kb, uplo, &b[b_offset], ldb, &work[n + 1], &iinfo); /* Test ZHEGV */ ++ntest; zlacpy_(" ", &n, &n, &a[a_offset], lda, &z__[z_offset], ldz); zlacpy_(uplo, &n, &n, &b[b_offset], ldb, &bb[bb_offset], ldb); zhegv_(&ibtype, "V", uplo, &n, &z__[z_offset], ldz, &bb[ bb_offset], ldb, &d__[1], &work[1], nwork, &rwork[ 1], &iinfo); if (iinfo != 0) { io___44.ciunit = *nounit; s_wsfe(&io___44); /* Writing concatenation */ i__6[0] = 8, a__1[0] = "ZHEGV(V,"; i__6[1] = 1, a__1[1] = uplo; i__6[2] = 1, a__1[2] = ")"; s_cat(ch__1, a__1, i__6, &c__3, (ftnlen)10); do_fio(&c__1, ch__1, (ftnlen)10); do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer)) ; do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof( integer)); e_wsfe(); *info = abs(iinfo); if (iinfo < 0) { return 0; } else { result[ntest] = ulpinv; goto L100; } } /* Do Test */ zsgt01_(&ibtype, uplo, &n, &n, &a[a_offset], lda, &b[ b_offset], ldb, &z__[z_offset], ldz, &d__[1], & work[1], &rwork[1], &result[ntest]); /* Test ZHEGVD */ ++ntest; zlacpy_(" ", &n, &n, &a[a_offset], lda, &z__[z_offset], ldz); zlacpy_(uplo, &n, &n, &b[b_offset], ldb, &bb[bb_offset], ldb); zhegvd_(&ibtype, "V", uplo, &n, &z__[z_offset], ldz, &bb[ bb_offset], ldb, &d__[1], &work[1], nwork, &rwork[ 1], lrwork, &iwork[1], liwork, &iinfo); if (iinfo != 0) { io___45.ciunit = *nounit; s_wsfe(&io___45); /* Writing concatenation */ i__6[0] = 9, a__1[0] = "ZHEGVD(V,"; i__6[1] = 1, a__1[1] = uplo; i__6[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__6, &c__3, (ftnlen)11); do_fio(&c__1, ch__2, (ftnlen)11); do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer)) ; do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof( integer)); e_wsfe(); *info = abs(iinfo); if (iinfo < 0) { return 0; } else { result[ntest] = ulpinv; goto L100; } } /* Do Test */ zsgt01_(&ibtype, uplo, &n, &n, &a[a_offset], lda, &b[ b_offset], ldb, &z__[z_offset], ldz, &d__[1], & work[1], &rwork[1], &result[ntest]); /* Test ZHEGVX */ ++ntest; zlacpy_(" ", &n, &n, &a[a_offset], lda, &ab[ab_offset], lda); zlacpy_(uplo, &n, &n, &b[b_offset], ldb, &bb[bb_offset], ldb); zhegvx_(&ibtype, "V", "A", uplo, &n, &ab[ab_offset], lda, &bb[bb_offset], ldb, &vl, &vu, &il, &iu, &abstol, &m, &d__[1], &z__[z_offset], ldz, &work[1], nwork, &rwork[1], &iwork[n + 1], &iwork[1], &iinfo); if (iinfo != 0) { io___49.ciunit = *nounit; s_wsfe(&io___49); /* Writing concatenation */ i__6[0] = 10, a__1[0] = "ZHEGVX(V,A"; i__6[1] = 1, a__1[1] = uplo; i__6[2] = 1, a__1[2] = ")"; s_cat(ch__3, a__1, i__6, &c__3, (ftnlen)12); do_fio(&c__1, ch__3, (ftnlen)12); do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer)) ; do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof( integer)); e_wsfe(); *info = abs(iinfo); if (iinfo < 0) { return 0; } else { result[ntest] = ulpinv; goto L100; } } /* Do Test */ zsgt01_(&ibtype, uplo, &n, &n, &a[a_offset], lda, &b[ b_offset], ldb, &z__[z_offset], ldz, &d__[1], & work[1], &rwork[1], &result[ntest]); ++ntest; zlacpy_(" ", &n, &n, &a[a_offset], lda, &ab[ab_offset], lda); zlacpy_(uplo, &n, &n, &b[b_offset], ldb, &bb[bb_offset], ldb); /* since we do not know the exact eigenvalues of this eigenpair, we just set VL and VU as constants. It is quite possible that there are no eigenvalues in this interval. */ vl = 0.; vu = anorm; zhegvx_(&ibtype, "V", "V", uplo, &n, &ab[ab_offset], lda, &bb[bb_offset], ldb, &vl, &vu, &il, &iu, &abstol, &m, &d__[1], &z__[z_offset], ldz, &work[1], nwork, &rwork[1], &iwork[n + 1], &iwork[1], &iinfo); if (iinfo != 0) { io___50.ciunit = *nounit; s_wsfe(&io___50); /* Writing concatenation */ i__6[0] = 11, a__1[0] = "ZHEGVX(V,V,"; i__6[1] = 1, a__1[1] = uplo; i__6[2] = 1, a__1[2] = ")"; s_cat(ch__4, a__1, i__6, &c__3, (ftnlen)13); do_fio(&c__1, ch__4, (ftnlen)13); do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer)) ; do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof( integer)); e_wsfe(); *info = abs(iinfo); if (iinfo < 0) { return 0; } else { result[ntest] = ulpinv; goto L100; } } /* Do Test */ zsgt01_(&ibtype, uplo, &n, &m, &a[a_offset], lda, &b[ b_offset], ldb, &z__[z_offset], ldz, &d__[1], & work[1], &rwork[1], &result[ntest]); ++ntest; zlacpy_(" ", &n, &n, &a[a_offset], lda, &ab[ab_offset], lda); zlacpy_(uplo, &n, &n, &b[b_offset], ldb, &bb[bb_offset], ldb); zhegvx_(&ibtype, "V", "I", uplo, &n, &ab[ab_offset], lda, &bb[bb_offset], ldb, &vl, &vu, &il, &iu, &abstol, &m, &d__[1], &z__[z_offset], ldz, &work[1], nwork, &rwork[1], &iwork[n + 1], &iwork[1], &iinfo); if (iinfo != 0) { io___51.ciunit = *nounit; s_wsfe(&io___51); /* Writing concatenation */ i__6[0] = 11, a__1[0] = "ZHEGVX(V,I,"; i__6[1] = 1, a__1[1] = uplo; i__6[2] = 1, a__1[2] = ")"; s_cat(ch__4, a__1, i__6, &c__3, (ftnlen)13); do_fio(&c__1, ch__4, (ftnlen)13); do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer)) ; do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof( integer)); e_wsfe(); *info = abs(iinfo); if (iinfo < 0) { return 0; } else { result[ntest] = ulpinv; goto L100; } } /* Do Test */ zsgt01_(&ibtype, uplo, &n, &m, &a[a_offset], lda, &b[ b_offset], ldb, &z__[z_offset], ldz, &d__[1], & work[1], &rwork[1], &result[ntest]); L100: /* Test ZHPGV */ ++ntest; /* Copy the matrices into packed storage. */ if (lsame_(uplo, "U")) { ij = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = j; for (i__ = 1; i__ <= i__4; ++i__) { i__5 = ij; i__7 = i__ + j * a_dim1; ap[i__5].r = a[i__7].r, ap[i__5].i = a[i__7] .i; i__5 = ij; i__7 = i__ + j * b_dim1; bp[i__5].r = b[i__7].r, bp[i__5].i = b[i__7] .i; ++ij; /* L110: */ } /* L120: */ } } else { ij = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = n; for (i__ = j; i__ <= i__4; ++i__) { i__5 = ij; i__7 = i__ + j * a_dim1; ap[i__5].r = a[i__7].r, ap[i__5].i = a[i__7] .i; i__5 = ij; i__7 = i__ + j * b_dim1; bp[i__5].r = b[i__7].r, bp[i__5].i = b[i__7] .i; ++ij; /* L130: */ } /* L140: */ } } zhpgv_(&ibtype, "V", uplo, &n, &ap[1], &bp[1], &d__[1], & z__[z_offset], ldz, &work[1], &rwork[1], &iinfo); if (iinfo != 0) { io___53.ciunit = *nounit; s_wsfe(&io___53); /* Writing concatenation */ i__6[0] = 8, a__1[0] = "ZHPGV(V,"; i__6[1] = 1, a__1[1] = uplo; i__6[2] = 1, a__1[2] = ")"; s_cat(ch__1, a__1, i__6, &c__3, (ftnlen)10); do_fio(&c__1, ch__1, (ftnlen)10); do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer)) ; do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof( integer)); e_wsfe(); *info = abs(iinfo); if (iinfo < 0) { return 0; } else { result[ntest] = ulpinv; goto L310; } } /* Do Test */ zsgt01_(&ibtype, uplo, &n, &n, &a[a_offset], lda, &b[ b_offset], ldb, &z__[z_offset], ldz, &d__[1], & work[1], &rwork[1], &result[ntest]); /* Test ZHPGVD */ ++ntest; /* Copy the matrices into packed storage. */ if (lsame_(uplo, "U")) { ij = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = j; for (i__ = 1; i__ <= i__4; ++i__) { i__5 = ij; i__7 = i__ + j * a_dim1; ap[i__5].r = a[i__7].r, ap[i__5].i = a[i__7] .i; i__5 = ij; i__7 = i__ + j * b_dim1; bp[i__5].r = b[i__7].r, bp[i__5].i = b[i__7] .i; ++ij; /* L150: */ } /* L160: */ } } else { ij = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = n; for (i__ = j; i__ <= i__4; ++i__) { i__5 = ij; i__7 = i__ + j * a_dim1; ap[i__5].r = a[i__7].r, ap[i__5].i = a[i__7] .i; i__5 = ij; i__7 = i__ + j * b_dim1; bp[i__5].r = b[i__7].r, bp[i__5].i = b[i__7] .i; ++ij; /* L170: */ } /* L180: */ } } zhpgvd_(&ibtype, "V", uplo, &n, &ap[1], &bp[1], &d__[1], & z__[z_offset], ldz, &work[1], nwork, &rwork[1], lrwork, &iwork[1], liwork, &iinfo); if (iinfo != 0) { io___54.ciunit = *nounit; s_wsfe(&io___54); /* Writing concatenation */ i__6[0] = 9, a__1[0] = "ZHPGVD(V,"; i__6[1] = 1, a__1[1] = uplo; i__6[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__6, &c__3, (ftnlen)11); do_fio(&c__1, ch__2, (ftnlen)11); do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer)) ; do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof( integer)); e_wsfe(); *info = abs(iinfo); if (iinfo < 0) { return 0; } else { result[ntest] = ulpinv; goto L310; } } /* Do Test */ zsgt01_(&ibtype, uplo, &n, &n, &a[a_offset], lda, &b[ b_offset], ldb, &z__[z_offset], ldz, &d__[1], & work[1], &rwork[1], &result[ntest]); /* Test ZHPGVX */ ++ntest; /* Copy the matrices into packed storage. */ if (lsame_(uplo, "U")) { ij = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = j; for (i__ = 1; i__ <= i__4; ++i__) { i__5 = ij; i__7 = i__ + j * a_dim1; ap[i__5].r = a[i__7].r, ap[i__5].i = a[i__7] .i; i__5 = ij; i__7 = i__ + j * b_dim1; bp[i__5].r = b[i__7].r, bp[i__5].i = b[i__7] .i; ++ij; /* L190: */ } /* L200: */ } } else { ij = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = n; for (i__ = j; i__ <= i__4; ++i__) { i__5 = ij; i__7 = i__ + j * a_dim1; ap[i__5].r = a[i__7].r, ap[i__5].i = a[i__7] .i; i__5 = ij; i__7 = i__ + j * b_dim1; bp[i__5].r = b[i__7].r, bp[i__5].i = b[i__7] .i; ++ij; /* L210: */ } /* L220: */ } } zhpgvx_(&ibtype, "V", "A", uplo, &n, &ap[1], &bp[1], &vl, &vu, &il, &iu, &abstol, &m, &d__[1], &z__[ z_offset], ldz, &work[1], &rwork[1], &iwork[n + 1] , &iwork[1], info); if (iinfo != 0) { io___55.ciunit = *nounit; s_wsfe(&io___55); /* Writing concatenation */ i__6[0] = 10, a__1[0] = "ZHPGVX(V,A"; i__6[1] = 1, a__1[1] = uplo; i__6[2] = 1, a__1[2] = ")"; s_cat(ch__3, a__1, i__6, &c__3, (ftnlen)12); do_fio(&c__1, ch__3, (ftnlen)12); do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer)) ; do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof( integer)); e_wsfe(); *info = abs(iinfo); if (iinfo < 0) { return 0; } else { result[ntest] = ulpinv; goto L310; } } /* Do Test */ zsgt01_(&ibtype, uplo, &n, &n, &a[a_offset], lda, &b[ b_offset], ldb, &z__[z_offset], ldz, &d__[1], & work[1], &rwork[1], &result[ntest]); ++ntest; /* Copy the matrices into packed storage. */ if (lsame_(uplo, "U")) { ij = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = j; for (i__ = 1; i__ <= i__4; ++i__) { i__5 = ij; i__7 = i__ + j * a_dim1; ap[i__5].r = a[i__7].r, ap[i__5].i = a[i__7] .i; i__5 = ij; i__7 = i__ + j * b_dim1; bp[i__5].r = b[i__7].r, bp[i__5].i = b[i__7] .i; ++ij; /* L230: */ } /* L240: */ } } else { ij = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = n; for (i__ = j; i__ <= i__4; ++i__) { i__5 = ij; i__7 = i__ + j * a_dim1; ap[i__5].r = a[i__7].r, ap[i__5].i = a[i__7] .i; i__5 = ij; i__7 = i__ + j * b_dim1; bp[i__5].r = b[i__7].r, bp[i__5].i = b[i__7] .i; ++ij; /* L250: */ } /* L260: */ } } vl = 0.; vu = anorm; zhpgvx_(&ibtype, "V", "V", uplo, &n, &ap[1], &bp[1], &vl, &vu, &il, &iu, &abstol, &m, &d__[1], &z__[ z_offset], ldz, &work[1], &rwork[1], &iwork[n + 1] , &iwork[1], info); if (iinfo != 0) { io___56.ciunit = *nounit; s_wsfe(&io___56); /* Writing concatenation */ i__6[0] = 10, a__1[0] = "ZHPGVX(V,V"; i__6[1] = 1, a__1[1] = uplo; i__6[2] = 1, a__1[2] = ")"; s_cat(ch__3, a__1, i__6, &c__3, (ftnlen)12); do_fio(&c__1, ch__3, (ftnlen)12); do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer)) ; do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof( integer)); e_wsfe(); *info = abs(iinfo); if (iinfo < 0) { return 0; } else { result[ntest] = ulpinv; goto L310; } } /* Do Test */ zsgt01_(&ibtype, uplo, &n, &m, &a[a_offset], lda, &b[ b_offset], ldb, &z__[z_offset], ldz, &d__[1], & work[1], &rwork[1], &result[ntest]); ++ntest; /* Copy the matrices into packed storage. */ if (lsame_(uplo, "U")) { ij = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = j; for (i__ = 1; i__ <= i__4; ++i__) { i__5 = ij; i__7 = i__ + j * a_dim1; ap[i__5].r = a[i__7].r, ap[i__5].i = a[i__7] .i; i__5 = ij; i__7 = i__ + j * b_dim1; bp[i__5].r = b[i__7].r, bp[i__5].i = b[i__7] .i; ++ij; /* L270: */ } /* L280: */ } } else { ij = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = n; for (i__ = j; i__ <= i__4; ++i__) { i__5 = ij; i__7 = i__ + j * a_dim1; ap[i__5].r = a[i__7].r, ap[i__5].i = a[i__7] .i; i__5 = ij; i__7 = i__ + j * b_dim1; bp[i__5].r = b[i__7].r, bp[i__5].i = b[i__7] .i; ++ij; /* L290: */ } /* L300: */ } } zhpgvx_(&ibtype, "V", "I", uplo, &n, &ap[1], &bp[1], &vl, &vu, &il, &iu, &abstol, &m, &d__[1], &z__[ z_offset], ldz, &work[1], &rwork[1], &iwork[n + 1] , &iwork[1], info); if (iinfo != 0) { io___57.ciunit = *nounit; s_wsfe(&io___57); /* Writing concatenation */ i__6[0] = 10, a__1[0] = "ZHPGVX(V,I"; i__6[1] = 1, a__1[1] = uplo; i__6[2] = 1, a__1[2] = ")"; s_cat(ch__3, a__1, i__6, &c__3, (ftnlen)12); do_fio(&c__1, ch__3, (ftnlen)12); do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer)) ; do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof( integer)); e_wsfe(); *info = abs(iinfo); if (iinfo < 0) { return 0; } else { result[ntest] = ulpinv; goto L310; } } /* Do Test */ zsgt01_(&ibtype, uplo, &n, &m, &a[a_offset], lda, &b[ b_offset], ldb, &z__[z_offset], ldz, &d__[1], & work[1], &rwork[1], &result[ntest]); L310: if (ibtype == 1) { /* TEST ZHBGV */ ++ntest; /* Copy the matrices into band storage. */ if (lsame_(uplo, "U")) { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ i__4 = 1, i__5 = j - ka; i__7 = j; for (i__ = max(i__4,i__5); i__ <= i__7; ++i__) { i__4 = ka + 1 + i__ - j + j * ab_dim1; i__5 = i__ + j * a_dim1; ab[i__4].r = a[i__5].r, ab[i__4].i = a[ i__5].i; /* L320: */ } /* Computing MAX */ i__7 = 1, i__4 = j - kb; i__5 = j; for (i__ = max(i__7,i__4); i__ <= i__5; ++i__) { i__7 = kb + 1 + i__ - j + j * bb_dim1; i__4 = i__ + j * b_dim1; bb[i__7].r = b[i__4].r, bb[i__7].i = b[ i__4].i; /* L330: */ } /* L340: */ } } else { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MIN */ i__7 = n, i__4 = j + ka; i__5 = min(i__7,i__4); for (i__ = j; i__ <= i__5; ++i__) { i__7 = i__ + 1 - j + j * ab_dim1; i__4 = i__ + j * a_dim1; ab[i__7].r = a[i__4].r, ab[i__7].i = a[ i__4].i; /* L350: */ } /* Computing MIN */ i__7 = n, i__4 = j + kb; i__5 = min(i__7,i__4); for (i__ = j; i__ <= i__5; ++i__) { i__7 = i__ + 1 - j + j * bb_dim1; i__4 = i__ + j * b_dim1; bb[i__7].r = b[i__4].r, bb[i__7].i = b[ i__4].i; /* L360: */ } /* L370: */ } } zhbgv_("V", uplo, &n, &ka, &kb, &ab[ab_offset], lda, & bb[bb_offset], ldb, &d__[1], &z__[z_offset], ldz, &work[1], &rwork[1], &iinfo); if (iinfo != 0) { io___58.ciunit = *nounit; s_wsfe(&io___58); /* Writing concatenation */ i__6[0] = 8, a__1[0] = "ZHBGV(V,"; i__6[1] = 1, a__1[1] = uplo; i__6[2] = 1, a__1[2] = ")"; s_cat(ch__1, a__1, i__6, &c__3, (ftnlen)10); do_fio(&c__1, ch__1, (ftnlen)10); do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof( integer)); do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof( integer)); e_wsfe(); *info = abs(iinfo); if (iinfo < 0) { return 0; } else { result[ntest] = ulpinv; goto L620; } } /* Do Test */ zsgt01_(&ibtype, uplo, &n, &n, &a[a_offset], lda, &b[ b_offset], ldb, &z__[z_offset], ldz, &d__[1], &work[1], &rwork[1], &result[ntest]); /* TEST ZHBGVD */ ++ntest; /* Copy the matrices into band storage. */ if (lsame_(uplo, "U")) { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ i__5 = 1, i__7 = j - ka; i__4 = j; for (i__ = max(i__5,i__7); i__ <= i__4; ++i__) { i__5 = ka + 1 + i__ - j + j * ab_dim1; i__7 = i__ + j * a_dim1; ab[i__5].r = a[i__7].r, ab[i__5].i = a[ i__7].i; /* L380: */ } /* Computing MAX */ i__4 = 1, i__5 = j - kb; i__7 = j; for (i__ = max(i__4,i__5); i__ <= i__7; ++i__) { i__4 = kb + 1 + i__ - j + j * bb_dim1; i__5 = i__ + j * b_dim1; bb[i__4].r = b[i__5].r, bb[i__4].i = b[ i__5].i; /* L390: */ } /* L400: */ } } else { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MIN */ i__4 = n, i__5 = j + ka; i__7 = min(i__4,i__5); for (i__ = j; i__ <= i__7; ++i__) { i__4 = i__ + 1 - j + j * ab_dim1; i__5 = i__ + j * a_dim1; ab[i__4].r = a[i__5].r, ab[i__4].i = a[ i__5].i; /* L410: */ } /* Computing MIN */ i__4 = n, i__5 = j + kb; i__7 = min(i__4,i__5); for (i__ = j; i__ <= i__7; ++i__) { i__4 = i__ + 1 - j + j * bb_dim1; i__5 = i__ + j * b_dim1; bb[i__4].r = b[i__5].r, bb[i__4].i = b[ i__5].i; /* L420: */ } /* L430: */ } } zhbgvd_("V", uplo, &n, &ka, &kb, &ab[ab_offset], lda, &bb[bb_offset], ldb, &d__[1], &z__[z_offset], ldz, &work[1], nwork, &rwork[1], lrwork, & iwork[1], liwork, &iinfo); if (iinfo != 0) { io___59.ciunit = *nounit; s_wsfe(&io___59); /* Writing concatenation */ i__6[0] = 9, a__1[0] = "ZHBGVD(V,"; i__6[1] = 1, a__1[1] = uplo; i__6[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__6, &c__3, (ftnlen)11); do_fio(&c__1, ch__2, (ftnlen)11); do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof( integer)); do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof( integer)); e_wsfe(); *info = abs(iinfo); if (iinfo < 0) { return 0; } else { result[ntest] = ulpinv; goto L620; } } /* Do Test */ zsgt01_(&ibtype, uplo, &n, &n, &a[a_offset], lda, &b[ b_offset], ldb, &z__[z_offset], ldz, &d__[1], &work[1], &rwork[1], &result[ntest]); /* Test ZHBGVX */ ++ntest; /* Copy the matrices into band storage. */ if (lsame_(uplo, "U")) { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ i__7 = 1, i__4 = j - ka; i__5 = j; for (i__ = max(i__7,i__4); i__ <= i__5; ++i__) { i__7 = ka + 1 + i__ - j + j * ab_dim1; i__4 = i__ + j * a_dim1; ab[i__7].r = a[i__4].r, ab[i__7].i = a[ i__4].i; /* L440: */ } /* Computing MAX */ i__5 = 1, i__7 = j - kb; i__4 = j; for (i__ = max(i__5,i__7); i__ <= i__4; ++i__) { i__5 = kb + 1 + i__ - j + j * bb_dim1; i__7 = i__ + j * b_dim1; bb[i__5].r = b[i__7].r, bb[i__5].i = b[ i__7].i; /* L450: */ } /* L460: */ } } else { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MIN */ i__5 = n, i__7 = j + ka; i__4 = min(i__5,i__7); for (i__ = j; i__ <= i__4; ++i__) { i__5 = i__ + 1 - j + j * ab_dim1; i__7 = i__ + j * a_dim1; ab[i__5].r = a[i__7].r, ab[i__5].i = a[ i__7].i; /* L470: */ } /* Computing MIN */ i__5 = n, i__7 = j + kb; i__4 = min(i__5,i__7); for (i__ = j; i__ <= i__4; ++i__) { i__5 = i__ + 1 - j + j * bb_dim1; i__7 = i__ + j * b_dim1; bb[i__5].r = b[i__7].r, bb[i__5].i = b[ i__7].i; /* L480: */ } /* L490: */ } } i__3 = max(1,n); zhbgvx_("V", "A", uplo, &n, &ka, &kb, &ab[ab_offset], lda, &bb[bb_offset], ldb, &bp[1], &i__3, &vl, &vu, &il, &iu, &abstol, &m, &d__[1], &z__[ z_offset], ldz, &work[1], &rwork[1], &iwork[n + 1], &iwork[1], &iinfo); if (iinfo != 0) { io___60.ciunit = *nounit; s_wsfe(&io___60); /* Writing concatenation */ i__6[0] = 10, a__1[0] = "ZHBGVX(V,A"; i__6[1] = 1, a__1[1] = uplo; i__6[2] = 1, a__1[2] = ")"; s_cat(ch__3, a__1, i__6, &c__3, (ftnlen)12); do_fio(&c__1, ch__3, (ftnlen)12); do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof( integer)); do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof( integer)); e_wsfe(); *info = abs(iinfo); if (iinfo < 0) { return 0; } else { result[ntest] = ulpinv; goto L620; } } /* Do Test */ zsgt01_(&ibtype, uplo, &n, &n, &a[a_offset], lda, &b[ b_offset], ldb, &z__[z_offset], ldz, &d__[1], &work[1], &rwork[1], &result[ntest]); ++ntest; /* Copy the matrices into band storage. */ if (lsame_(uplo, "U")) { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ i__4 = 1, i__5 = j - ka; i__7 = j; for (i__ = max(i__4,i__5); i__ <= i__7; ++i__) { i__4 = ka + 1 + i__ - j + j * ab_dim1; i__5 = i__ + j * a_dim1; ab[i__4].r = a[i__5].r, ab[i__4].i = a[ i__5].i; /* L500: */ } /* Computing MAX */ i__7 = 1, i__4 = j - kb; i__5 = j; for (i__ = max(i__7,i__4); i__ <= i__5; ++i__) { i__7 = kb + 1 + i__ - j + j * bb_dim1; i__4 = i__ + j * b_dim1; bb[i__7].r = b[i__4].r, bb[i__7].i = b[ i__4].i; /* L510: */ } /* L520: */ } } else { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MIN */ i__7 = n, i__4 = j + ka; i__5 = min(i__7,i__4); for (i__ = j; i__ <= i__5; ++i__) { i__7 = i__ + 1 - j + j * ab_dim1; i__4 = i__ + j * a_dim1; ab[i__7].r = a[i__4].r, ab[i__7].i = a[ i__4].i; /* L530: */ } /* Computing MIN */ i__7 = n, i__4 = j + kb; i__5 = min(i__7,i__4); for (i__ = j; i__ <= i__5; ++i__) { i__7 = i__ + 1 - j + j * bb_dim1; i__4 = i__ + j * b_dim1; bb[i__7].r = b[i__4].r, bb[i__7].i = b[ i__4].i; /* L540: */ } /* L550: */ } } vl = 0.; vu = anorm; i__3 = max(1,n); zhbgvx_("V", "V", uplo, &n, &ka, &kb, &ab[ab_offset], lda, &bb[bb_offset], ldb, &bp[1], &i__3, &vl, &vu, &il, &iu, &abstol, &m, &d__[1], &z__[ z_offset], ldz, &work[1], &rwork[1], &iwork[n + 1], &iwork[1], &iinfo); if (iinfo != 0) { io___61.ciunit = *nounit; s_wsfe(&io___61); /* Writing concatenation */ i__6[0] = 10, a__1[0] = "ZHBGVX(V,V"; i__6[1] = 1, a__1[1] = uplo; i__6[2] = 1, a__1[2] = ")"; s_cat(ch__3, a__1, i__6, &c__3, (ftnlen)12); do_fio(&c__1, ch__3, (ftnlen)12); do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof( integer)); do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof( integer)); e_wsfe(); *info = abs(iinfo); if (iinfo < 0) { return 0; } else { result[ntest] = ulpinv; goto L620; } } /* Do Test */ zsgt01_(&ibtype, uplo, &n, &m, &a[a_offset], lda, &b[ b_offset], ldb, &z__[z_offset], ldz, &d__[1], &work[1], &rwork[1], &result[ntest]); ++ntest; /* Copy the matrices into band storage. */ if (lsame_(uplo, "U")) { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ i__5 = 1, i__7 = j - ka; i__4 = j; for (i__ = max(i__5,i__7); i__ <= i__4; ++i__) { i__5 = ka + 1 + i__ - j + j * ab_dim1; i__7 = i__ + j * a_dim1; ab[i__5].r = a[i__7].r, ab[i__5].i = a[ i__7].i; /* L560: */ } /* Computing MAX */ i__4 = 1, i__5 = j - kb; i__7 = j; for (i__ = max(i__4,i__5); i__ <= i__7; ++i__) { i__4 = kb + 1 + i__ - j + j * bb_dim1; i__5 = i__ + j * b_dim1; bb[i__4].r = b[i__5].r, bb[i__4].i = b[ i__5].i; /* L570: */ } /* L580: */ } } else { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MIN */ i__4 = n, i__5 = j + ka; i__7 = min(i__4,i__5); for (i__ = j; i__ <= i__7; ++i__) { i__4 = i__ + 1 - j + j * ab_dim1; i__5 = i__ + j * a_dim1; ab[i__4].r = a[i__5].r, ab[i__4].i = a[ i__5].i; /* L590: */ } /* Computing MIN */ i__4 = n, i__5 = j + kb; i__7 = min(i__4,i__5); for (i__ = j; i__ <= i__7; ++i__) { i__4 = i__ + 1 - j + j * bb_dim1; i__5 = i__ + j * b_dim1; bb[i__4].r = b[i__5].r, bb[i__4].i = b[ i__5].i; /* L600: */ } /* L610: */ } } i__3 = max(1,n); zhbgvx_("V", "I", uplo, &n, &ka, &kb, &ab[ab_offset], lda, &bb[bb_offset], ldb, &bp[1], &i__3, &vl, &vu, &il, &iu, &abstol, &m, &d__[1], &z__[ z_offset], ldz, &work[1], &rwork[1], &iwork[n + 1], &iwork[1], &iinfo); if (iinfo != 0) { io___62.ciunit = *nounit; s_wsfe(&io___62); /* Writing concatenation */ i__6[0] = 10, a__1[0] = "ZHBGVX(V,I"; i__6[1] = 1, a__1[1] = uplo; i__6[2] = 1, a__1[2] = ")"; s_cat(ch__3, a__1, i__6, &c__3, (ftnlen)12); do_fio(&c__1, ch__3, (ftnlen)12); do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof( integer)); do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof( integer)); e_wsfe(); *info = abs(iinfo); if (iinfo < 0) { return 0; } else { result[ntest] = ulpinv; goto L620; } } /* Do Test */ zsgt01_(&ibtype, uplo, &n, &m, &a[a_offset], lda, &b[ b_offset], ldb, &z__[z_offset], ldz, &d__[1], &work[1], &rwork[1], &result[ntest]); } L620: ; } /* L630: */ } /* End of Loop -- Check for RESULT(j) > THRESH */ ntestt += ntest; dlafts_("ZSG", &n, &n, &jtype, &ntest, &result[1], ioldsd, thresh, nounit, &nerrs); L640: ; } /* L650: */ } /* Summary */ dlasum_("ZSG", nounit, &nerrs, &ntestt); return 0; /* End of ZDRVSG */ } /* zdrvsg_ */