#include "blaswrap.h" /* -- translated by f2c (version 19990503). You must link the resulting object file with the libraries: -lf2c -lm (in that order) */ #include "f2c.h" /* Table of constant values */ static doublecomplex c_b1 = {0.,0.}; static doublecomplex c_b2 = {1.,0.}; static integer c__2 = 2; static integer c__0 = 0; static integer c__6 = 6; static doublereal c_b34 = 1.; static integer c__1 = 1; static doublereal c_b44 = 0.; static integer c__4 = 4; static integer c__3 = 3; /* Subroutine */ int zdrvst_(integer *nsizes, integer *nn, integer *ntypes, logical *dotype, integer *iseed, doublereal *thresh, integer *nounit, doublecomplex *a, integer *lda, doublereal *d1, doublereal *d2, doublereal *d3, doublereal *wa1, doublereal *wa2, doublereal *wa3, doublecomplex *u, integer *ldu, doublecomplex *v, doublecomplex *tau, doublecomplex *z__, doublecomplex *work, integer *lwork, doublereal * rwork, integer *lrwork, integer *iwork, integer *liwork, doublereal * result, integer *info) { /* Initialized data */ static integer ktype[18] = { 1,2,4,4,4,4,4,5,5,5,5,5,8,8,8,9,9,9 }; static integer kmagn[18] = { 1,1,1,1,1,2,3,1,1,1,2,3,1,2,3,1,2,3 }; static integer kmode[18] = { 0,0,4,3,1,4,4,4,3,1,4,4,0,0,0,4,4,4 }; /* Format strings */ static char fmt_9999[] = "(\002 ZDRVST: \002,a,\002 returned INFO=\002,i" "6,/9x,\002N=\002,i6,\002, JTYPE=\002,i6,\002, ISEED=(\002,3(i5" ",\002,\002),i5,\002)\002)"; static char fmt_9998[] = "(\002 ZDRVST: \002,a,\002 returned INFO=\002,i" "6,/9x,\002N=\002,i6,\002, KD=\002,i6,\002, JTYPE=\002,i6,\002, I" "SEED=(\002,3(i5,\002,\002),i5,\002)\002)"; /* System generated locals */ address a__1[3]; integer a_dim1, a_offset, u_dim1, u_offset, v_dim1, v_offset, z_dim1, z_offset, i__1, i__2, i__3, i__4, i__5, i__6, i__7[3]; doublereal d__1, d__2, d__3, d__4; char ch__1[11], ch__2[13], ch__3[10]; /* Builtin functions */ double sqrt(doublereal), log(doublereal); integer pow_ii(integer *, integer *), s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void); /* Subroutine */ int s_cat(char *, char **, integer *, integer *, ftnlen); /* Local variables */ static doublereal cond; static integer jcol, ihbw, indx, nmax; static doublereal unfl, ovfl; static char uplo[1]; static integer irow; static doublereal temp1, temp2, temp3; extern doublereal dsxt1_(integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *, doublereal *); static integer i__, j, idiag, m, n; static logical badnn; static integer imode, lwedc, iinfo; static doublereal aninv, anorm; extern /* Subroutine */ int zhet21_(integer *, char *, integer *, integer *, doublecomplex *, integer *, doublereal *, doublereal *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, doublereal *, doublereal *); static integer itemp; extern /* Subroutine */ int zhbev_(char *, char *, integer *, integer *, doublecomplex *, integer *, doublereal *, doublecomplex *, integer *, doublecomplex *, doublereal *, integer *), zhet22_(integer *, char *, integer *, integer *, integer *, doublecomplex *, integer *, doublereal *, doublereal *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, doublereal *, doublereal *), zheev_(char *, char *, integer *, doublecomplex *, integer *, doublereal *, doublecomplex *, integer *, doublereal *, integer *); static integer nmats, jsize, iuplo, nerrs, itype, j1, j2, jtype, m2, m3, ntest; extern /* Subroutine */ int zhpev_(char *, char *, integer *, doublecomplex *, doublereal *, doublecomplex *, integer *, doublecomplex *, doublereal *, integer *); static integer iseed2[4], iseed3[4]; extern /* Subroutine */ int dlabad_(doublereal *, doublereal *); static integer kd, il; extern doublereal dlamch_(char *); static integer iu; static doublereal vl; extern doublereal dlarnd_(integer *, integer *); static integer liwedc; static doublereal vu; 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 integer lrwedc; extern /* Subroutine */ int zhbevd_(char *, char *, integer *, integer *, doublecomplex *, integer *, doublereal *, doublecomplex *, integer *, doublecomplex *, integer *, doublereal *, integer *, integer *, integer *, integer *), alasvm_(char *, integer *, integer *, integer *, integer *); static doublereal abstol; extern /* Subroutine */ int zheevd_(char *, char *, integer *, doublecomplex *, integer *, doublereal *, doublecomplex *, integer *, doublereal *, integer *, integer *, integer *, integer *); static integer indwrk; extern /* Subroutine */ int zhpevd_(char *, char *, integer *, doublecomplex *, doublereal *, doublecomplex *, integer *, doublecomplex *, integer *, doublereal *, integer *, integer *, integer *, integer *), zlacpy_(char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *), zheevr_(char *, char *, char *, integer *, doublecomplex *, integer *, doublereal *, doublereal *, integer *, integer *, doublereal *, integer *, doublereal *, doublecomplex * , integer *, integer *, doublecomplex *, integer *, doublereal *, integer *, integer *, integer *, integer *), zlaset_(char *, integer *, integer *, doublecomplex *, doublecomplex *, doublecomplex *, integer *), zhbevx_( char *, char *, char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublereal *, doublereal *, integer *, integer *, doublereal *, integer *, doublereal *, doublecomplex *, integer *, doublecomplex *, doublereal *, integer *, integer *, integer *); static doublereal rtovfl; static integer mtypes, ntestt; static doublereal rtunfl, ulpinv; extern /* Subroutine */ int zheevx_(char *, char *, char *, integer *, doublecomplex *, integer *, doublereal *, doublereal *, integer *, integer *, doublereal *, integer *, doublereal *, doublecomplex * , integer *, doublecomplex *, integer *, doublereal *, integer *, integer *, integer *), zhpevx_(char *, char *, char *, integer *, doublecomplex *, 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 *), zlatms_(integer *, integer *, char *, integer *, char *, doublereal *, integer *, doublereal *, doublereal *, integer *, integer *, char *, doublecomplex *, integer *, doublecomplex *, integer *); static integer lgn; static doublereal ulp; /* Fortran I/O blocks */ static cilist io___42 = { 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___57 = { 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___62 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___63 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___64 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___67 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___68 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___69 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___70 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___71 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___72 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___73 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___74 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___76 = { 0, 0, 0, fmt_9998, 0 }; static cilist io___77 = { 0, 0, 0, fmt_9998, 0 }; static cilist io___78 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___79 = { 0, 0, 0, fmt_9998, 0 }; static cilist io___80 = { 0, 0, 0, fmt_9998, 0 }; static cilist io___81 = { 0, 0, 0, fmt_9998, 0 }; static cilist io___82 = { 0, 0, 0, fmt_9998, 0 }; static cilist io___83 = { 0, 0, 0, fmt_9998, 0 }; static cilist io___84 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___85 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___86 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___87 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___88 = { 0, 0, 0, fmt_9998, 0 }; static cilist io___89 = { 0, 0, 0, fmt_9998, 0 }; static cilist io___90 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___91 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___92 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___93 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___94 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___95 = { 0, 0, 0, fmt_9999, 0 }; #define a_subscr(a_1,a_2) (a_2)*a_dim1 + a_1 #define a_ref(a_1,a_2) a[a_subscr(a_1,a_2)] #define u_subscr(a_1,a_2) (a_2)*u_dim1 + a_1 #define u_ref(a_1,a_2) u[u_subscr(a_1,a_2)] #define v_subscr(a_1,a_2) (a_2)*v_dim1 + a_1 #define v_ref(a_1,a_2) v[v_subscr(a_1,a_2)] /* -- LAPACK test routine (version 3.0) -- Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., Courant Institute, Argonne National Lab, and Rice University December 3, 1999 Purpose ======= ZDRVST checks the Hermitian eigenvalue problem drivers. ZHEEVD computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix, using a divide-and-conquer algorithm. ZHEEVX computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix. ZHEEVR computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix using the Relatively Robust Representation where it can. ZHPEVD computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix in packed storage, using a divide-and-conquer algorithm. ZHPEVX computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix in packed storage. ZHBEVD computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix, using a divide-and-conquer algorithm. ZHBEVX computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix. ZHEEV computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix. ZHPEV computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix in packed storage. ZHBEV computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix. When ZDRVST 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 will be generated and used to test the appropriate drivers. For each matrix and each driver routine called, the following tests will be performed: (1) | A - Z D Z' | / ( |A| n ulp ) (2) | I - Z Z' | / ( n ulp ) (3) | D1 - D2 | / ( |D1| ulp ) where Z is the matrix of eigenvectors returned when the eigenvector option is given and D1 and D2 are the eigenvalues returned with and without the eigenvector option. 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. Currently, the list of possible types 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) Symmetric 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) A band matrix with half bandwidth randomly chosen between 0 and N-1, with evenly spaced eigenvalues 1, ..., ULP with random signs. (17) Same as (16), but multiplied by SQRT( overflow threshold ) (18) Same as (16), but multiplied by SQRT( underflow threshold ) Arguments ========= NSIZES INTEGER The number of sizes of matrices to use. If it is zero, ZDRVST 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, ZDRVST 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 ZDRVST 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. D1 DOUBLE PRECISION array, dimension (max(NN)) The eigenvalues of A, as computed by ZSTEQR simlutaneously with Z. On exit, the eigenvalues in D1 correspond with the matrix in A. Modified. D2 DOUBLE PRECISION array, dimension (max(NN)) The eigenvalues of A, as computed by ZSTEQR if Z is not computed. On exit, the eigenvalues in D2 correspond with the matrix in A. Modified. D3 DOUBLE PRECISION array, dimension (max(NN)) The eigenvalues of A, as computed by DSTERF. On exit, the eigenvalues in D3 correspond with the matrix in A. Modified. WA1 DOUBLE PRECISION array, dimension WA2 DOUBLE PRECISION array, dimension WA3 DOUBLE PRECISION array, dimension U COMPLEX*16 array, dimension (LDU, max(NN)) The unitary matrix computed by ZHETRD + ZUNGC3. Modified. LDU INTEGER The leading dimension of U, Z, and V. It must be at least 1 and at least max( NN ). Not modified. V COMPLEX*16 array, dimension (LDU, max(NN)) The Housholder vectors computed by ZHETRD in reducing A to tridiagonal form. Modified. TAU COMPLEX*16 array, dimension (max(NN)) The Householder factors computed by ZHETRD in reducing A to tridiagonal form. Modified. Z COMPLEX*16 array, dimension (LDU, max(NN)) The unitary matrix of eigenvectors computed by ZHEEVD, ZHEEVX, ZHPEVD, CHPEVX, ZHBEVD, and CHBEVX. Modified. WORK - COMPLEX*16 array of dimension ( LWORK ) Workspace. Modified. LWORK - INTEGER The number of entries in WORK. This must be at least 2*max( NN(j), 2 )**2. Not modified. RWORK DOUBLE PRECISION array, dimension (3*max(NN)) Workspace. Modified. LRWORK - INTEGER The number of entries in RWORK. IWORK INTEGER array, dimension (6*max(NN)) Workspace. Modified. LIWORK - INTEGER The number of entries in IWORK. RESULT DOUBLE PRECISION array, dimension (??) The values computed by the tests described above. The values are currently limited to 1/ulp, to avoid overflow. 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: LDU < 1 or LDU < NMAX. -21: LWORK too small. If DLATMR, SLATMS, ZHETRD, DORGC3, ZSTEQR, DSTERF, or DORMC2 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 performed, or which can be performed so far, for the current matrix. NTESTT The total number of tests performed so far. 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; a_dim1 = *lda; a_offset = 1 + a_dim1 * 1; a -= a_offset; --d1; --d2; --d3; --wa1; --wa2; --wa3; z_dim1 = *ldu; z_offset = 1 + z_dim1 * 1; z__ -= z_offset; v_dim1 = *ldu; v_offset = 1 + v_dim1 * 1; v -= v_offset; u_dim1 = *ldu; u_offset = 1 + u_dim1 * 1; u -= u_offset; --tau; --work; --rwork; --iwork; --result; /* Function Body 1) Check for errors */ ntestt = 0; *info = 0; badnn = FALSE_; nmax = 1; 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 < nmax) { *info = -9; } else if (*ldu < nmax) { *info = -16; } else /* if(complicated condition) */ { /* Computing 2nd power */ i__1 = max(2,nmax); if (i__1 * i__1 << 1 > *lwork) { *info = -22; } } if (*info != 0) { i__1 = -(*info); xerbla_("ZDRVST", &i__1); return 0; } /* Quick return if nothing to do */ 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); /* Loop over sizes, types */ for (i__ = 1; i__ <= 4; ++i__) { iseed2[i__ - 1] = iseed[i__]; iseed3[i__ - 1] = iseed[i__]; /* L20: */ } nerrs = 0; nmats = 0; i__1 = *nsizes; for (jsize = 1; jsize <= i__1; ++jsize) { n = nn[jsize]; if (n > 0) { lgn = (integer) (log((doublereal) n) / log(2.)); if (pow_ii(&c__2, &lgn) < n) { ++lgn; } if (pow_ii(&c__2, &lgn) < n) { ++lgn; } /* Computing MAX */ i__2 = (n << 1) + n * n, i__3 = (n << 1) * n; lwedc = max(i__2,i__3); /* Computing 2nd power */ i__2 = n; lrwedc = (n << 2) + 1 + (n << 1) * lgn + i__2 * i__2 * 3; liwedc = n * 5 + 3; } else { lwedc = 2; lrwedc = 8; liwedc = 8; } aninv = 1. / (doublereal) max(1,n); if (*nsizes != 1) { mtypes = min(18,*ntypes); } else { mtypes = min(19,*ntypes); } i__2 = mtypes; for (jtype = 1; jtype <= i__2; ++jtype) { if (! dotype[jtype]) { goto L1210; } ++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 band Hermitian, w/ eigenvalues */ if (mtypes > 18) { goto L110; } 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: zlaset_("Full", lda, &n, &c_b1, &c_b1, &a[a_offset], lda); iinfo = 0; cond = ulpinv; /* Special Matrices -- Identity & Jordan block Zero */ if (itype == 1) { iinfo = 0; } else if (itype == 2) { /* Identity */ i__3 = n; for (jcol = 1; jcol <= i__3; ++jcol) { i__4 = a_subscr(jcol, jcol); a[i__4].r = anorm, a[i__4].i = 0.; /* L80: */ } } else if (itype == 4) { /* Diagonal Matrix, [Eigen]values Specified */ 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 */ 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 */ zlatmr_(&n, &n, "S", &iseed[1], "H", &work[1], &c__6, &c_b34, &c_b2, "T", "N", &work[n + 1], &c__1, &c_b34, &work[( n << 1) + 1], &c__1, &c_b34, "N", idumma, &c__0, & c__0, &c_b44, &anorm, "NO", &a[a_offset], lda, &iwork[ 1], &iinfo); } else if (itype == 8) { /* Hermitian, random eigenvalues */ zlatmr_(&n, &n, "S", &iseed[1], "H", &work[1], &c__6, &c_b34, &c_b2, "T", "N", &work[n + 1], &c__1, &c_b34, &work[( n << 1) + 1], &c__1, &c_b34, "N", idumma, &n, &n, & c_b44, &anorm, "NO", &a[a_offset], lda, &iwork[1], & iinfo); } else if (itype == 9) { /* Hermitian banded, eigenvalues specified */ ihbw = (integer) ((n - 1) * dlarnd_(&c__1, iseed3)); zlatms_(&n, &n, "S", &iseed[1], "H", &rwork[1], &imode, &cond, &anorm, &ihbw, &ihbw, "Z", &u[u_offset], ldu, &work[ 1], &iinfo); /* Store as dense matrix for most routines. */ zlaset_("Full", lda, &n, &c_b1, &c_b1, &a[a_offset], lda); i__3 = ihbw; for (idiag = -ihbw; idiag <= i__3; ++idiag) { irow = ihbw - idiag + 1; /* Computing MAX */ i__4 = 1, i__5 = idiag + 1; j1 = max(i__4,i__5); /* Computing MIN */ i__4 = n, i__5 = n + idiag; j2 = min(i__4,i__5); i__4 = j2; for (j = j1; j <= i__4; ++j) { i__ = j - idiag; i__5 = a_subscr(i__, j); i__6 = u_subscr(irow, j); a[i__5].r = u[i__6].r, a[i__5].i = u[i__6].i; /* L90: */ } /* L100: */ } } else { iinfo = 1; } if (iinfo != 0) { io___42.ciunit = *nounit; s_wsfe(&io___42); 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; } L110: 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; } } /* Perform tests storing upper or lower triangular part of matrix. */ for (iuplo = 0; iuplo <= 1; ++iuplo) { if (iuplo == 0) { *(unsigned char *)uplo = 'L'; } else { *(unsigned char *)uplo = 'U'; } /* Call ZHEEVD and CHEEVX. */ zlacpy_(" ", &n, &n, &a[a_offset], lda, &v[v_offset], ldu); ++ntest; zheevd_("V", uplo, &n, &a[a_offset], ldu, &d1[1], &work[1], & lwedc, &rwork[1], &lrwedc, &iwork[1], &liwedc, &iinfo); if (iinfo != 0) { io___49.ciunit = *nounit; s_wsfe(&io___49); /* Writing concatenation */ i__7[0] = 9, a__1[0] = "ZHEEVD(V,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__1, a__1, i__7, &c__3, (ftnlen)11); do_fio(&c__1, ch__1, (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; result[ntest + 1] = ulpinv; result[ntest + 2] = ulpinv; goto L130; } } /* Do tests 1 and 2. */ zhet21_(&c__1, uplo, &n, &c__0, &v[v_offset], ldu, &d1[1], & d2[1], &a[a_offset], ldu, &z__[z_offset], ldu, &tau[1] , &work[1], &rwork[1], &result[ntest]); zlacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); ntest += 2; zheevd_("N", uplo, &n, &a[a_offset], ldu, &d3[1], &work[1], & lwedc, &rwork[1], &lrwedc, &iwork[1], &liwedc, &iinfo); if (iinfo != 0) { io___50.ciunit = *nounit; s_wsfe(&io___50); /* Writing concatenation */ i__7[0] = 9, a__1[0] = "ZHEEVD(N,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__1, a__1, i__7, &c__3, (ftnlen)11); do_fio(&c__1, ch__1, (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 L130; } } /* Do test 3. */ temp1 = 0.; temp2 = 0.; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ d__3 = temp1, d__4 = (d__1 = d1[j], abs(d__1)), d__3 = max(d__3,d__4), d__4 = (d__2 = d3[j], abs(d__2)); temp1 = max(d__3,d__4); /* Computing MAX */ d__2 = temp2, d__3 = (d__1 = d1[j] - d3[j], abs(d__1)); temp2 = max(d__2,d__3); /* L120: */ } /* Computing MAX */ d__1 = unfl, d__2 = ulp * max(temp1,temp2); result[ntest] = temp2 / max(d__1,d__2); L130: zlacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); ++ntest; if (n > 0) { /* Computing MAX */ d__2 = abs(d1[1]), d__3 = (d__1 = d1[n], abs(d__1)); temp3 = max(d__2,d__3); if (il != 1) { /* Computing MAX */ d__1 = (d1[il] - d1[il - 1]) * .5, d__2 = ulp * 10. * temp3, d__1 = max(d__1,d__2), d__2 = rtunfl * 10.; vl = d1[il] - max(d__1,d__2); } else if (n > 0) { /* Computing MAX */ d__1 = (d1[n] - d1[1]) * .5, d__2 = ulp * 10. * temp3, d__1 = max(d__1,d__2), d__2 = rtunfl * 10.; vl = d1[1] - max(d__1,d__2); } if (iu != n) { /* Computing MAX */ d__1 = (d1[iu + 1] - d1[iu]) * .5, d__2 = ulp * 10. * temp3, d__1 = max(d__1,d__2), d__2 = rtunfl * 10.; vu = d1[iu] + max(d__1,d__2); } else if (n > 0) { /* Computing MAX */ d__1 = (d1[n] - d1[1]) * .5, d__2 = ulp * 10. * temp3, d__1 = max(d__1,d__2), d__2 = rtunfl * 10.; vu = d1[n] + max(d__1,d__2); } } else { temp3 = 0.; vl = 0.; vu = 1.; } zheevx_("V", "A", uplo, &n, &a[a_offset], ldu, &vl, &vu, &il, &iu, &abstol, &m, &wa1[1], &z__[z_offset], ldu, &work[ 1], lwork, &rwork[1], &iwork[1], &iwork[n * 5 + 1], & iinfo); if (iinfo != 0) { io___57.ciunit = *nounit; s_wsfe(&io___57); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHEEVX(V,A,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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; result[ntest + 1] = ulpinv; result[ntest + 2] = ulpinv; goto L150; } } /* Do tests 4 and 5. */ zlacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); zhet21_(&c__1, uplo, &n, &c__0, &a[a_offset], ldu, &wa1[1], & d2[1], &z__[z_offset], ldu, &v[v_offset], ldu, &tau[1] , &work[1], &rwork[1], &result[ntest]); ntest += 2; zheevx_("N", "A", uplo, &n, &a[a_offset], ldu, &vl, &vu, &il, &iu, &abstol, &m2, &wa2[1], &z__[z_offset], ldu, & work[1], lwork, &rwork[1], &iwork[1], &iwork[n * 5 + 1], &iinfo); if (iinfo != 0) { io___59.ciunit = *nounit; s_wsfe(&io___59); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHEEVX(N,A,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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 L150; } } /* Do test 6. */ temp1 = 0.; temp2 = 0.; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ d__3 = temp1, d__4 = (d__1 = wa1[j], abs(d__1)), d__3 = max(d__3,d__4), d__4 = (d__2 = wa2[j], abs(d__2)); temp1 = max(d__3,d__4); /* Computing MAX */ d__2 = temp2, d__3 = (d__1 = wa1[j] - wa2[j], abs(d__1)); temp2 = max(d__2,d__3); /* L140: */ } /* Computing MAX */ d__1 = unfl, d__2 = ulp * max(temp1,temp2); result[ntest] = temp2 / max(d__1,d__2); L150: zlacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); ++ntest; zheevx_("V", "I", uplo, &n, &a[a_offset], ldu, &vl, &vu, &il, &iu, &abstol, &m2, &wa2[1], &z__[z_offset], ldu, & work[1], lwork, &rwork[1], &iwork[1], &iwork[n * 5 + 1], &iinfo); if (iinfo != 0) { io___60.ciunit = *nounit; s_wsfe(&io___60); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHEEVX(V,I,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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 L160; } } /* Do tests 7 and 8. */ zlacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); zhet22_(&c__1, uplo, &n, &m2, &c__0, &a[a_offset], ldu, &wa2[ 1], &d2[1], &z__[z_offset], ldu, &v[v_offset], ldu, & tau[1], &work[1], &rwork[1], &result[ntest]); ntest += 2; zheevx_("N", "I", uplo, &n, &a[a_offset], ldu, &vl, &vu, &il, &iu, &abstol, &m3, &wa3[1], &z__[z_offset], ldu, & work[1], lwork, &rwork[1], &iwork[1], &iwork[n * 5 + 1], &iinfo); if (iinfo != 0) { io___62.ciunit = *nounit; s_wsfe(&io___62); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHEEVX(N,I,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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 L160; } } /* Do test 9. */ temp1 = dsxt1_(&c__1, &wa2[1], &m2, &wa3[1], &m3, &abstol, & ulp, &unfl); temp2 = dsxt1_(&c__1, &wa3[1], &m3, &wa2[1], &m2, &abstol, & ulp, &unfl); if (n > 0) { /* Computing MAX */ d__2 = abs(wa1[1]), d__3 = (d__1 = wa1[n], abs(d__1)); temp3 = max(d__2,d__3); } else { temp3 = 0.; } /* Computing MAX */ d__1 = unfl, d__2 = temp3 * ulp; result[ntest] = (temp1 + temp2) / max(d__1,d__2); L160: zlacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); ++ntest; zheevx_("V", "V", uplo, &n, &a[a_offset], ldu, &vl, &vu, &il, &iu, &abstol, &m2, &wa2[1], &z__[z_offset], ldu, & work[1], lwork, &rwork[1], &iwork[1], &iwork[n * 5 + 1], &iinfo); if (iinfo != 0) { io___63.ciunit = *nounit; s_wsfe(&io___63); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHEEVX(V,V,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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 L170; } } /* Do tests 10 and 11. */ zlacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); zhet22_(&c__1, uplo, &n, &m2, &c__0, &a[a_offset], ldu, &wa2[ 1], &d2[1], &z__[z_offset], ldu, &v[v_offset], ldu, & tau[1], &work[1], &rwork[1], &result[ntest]); ntest += 2; zheevx_("N", "V", uplo, &n, &a[a_offset], ldu, &vl, &vu, &il, &iu, &abstol, &m3, &wa3[1], &z__[z_offset], ldu, & work[1], lwork, &rwork[1], &iwork[1], &iwork[n * 5 + 1], &iinfo); if (iinfo != 0) { io___64.ciunit = *nounit; s_wsfe(&io___64); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHEEVX(N,V,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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 L170; } } if (m3 == 0 && n > 0) { result[ntest] = ulpinv; goto L170; } /* Do test 12. */ temp1 = dsxt1_(&c__1, &wa2[1], &m2, &wa3[1], &m3, &abstol, & ulp, &unfl); temp2 = dsxt1_(&c__1, &wa3[1], &m3, &wa2[1], &m2, &abstol, & ulp, &unfl); if (n > 0) { /* Computing MAX */ d__2 = abs(wa1[1]), d__3 = (d__1 = wa1[n], abs(d__1)); temp3 = max(d__2,d__3); } else { temp3 = 0.; } /* Computing MAX */ d__1 = unfl, d__2 = temp3 * ulp; result[ntest] = (temp1 + temp2) / max(d__1,d__2); L170: /* Call ZHPEVD and CHPEVX. */ zlacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); /* Load array WORK with the upper or lower triangular part of the matrix in packed form. */ if (iuplo == 1) { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = j; for (i__ = 1; i__ <= i__4; ++i__) { i__5 = indx; i__6 = a_subscr(i__, j); work[i__5].r = a[i__6].r, work[i__5].i = a[i__6] .i; ++indx; /* L180: */ } /* L190: */ } } else { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = n; for (i__ = j; i__ <= i__4; ++i__) { i__5 = indx; i__6 = a_subscr(i__, j); work[i__5].r = a[i__6].r, work[i__5].i = a[i__6] .i; ++indx; /* L200: */ } /* L210: */ } } ++ntest; indwrk = n * (n + 1) / 2 + 1; zhpevd_("V", uplo, &n, &work[1], &d1[1], &z__[z_offset], ldu, &work[indwrk], &lwedc, &rwork[1], &lrwedc, &iwork[1], &liwedc, &iinfo); if (iinfo != 0) { io___67.ciunit = *nounit; s_wsfe(&io___67); /* Writing concatenation */ i__7[0] = 9, a__1[0] = "ZHPEVD(V,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__1, a__1, i__7, &c__3, (ftnlen)11); do_fio(&c__1, ch__1, (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; result[ntest + 1] = ulpinv; result[ntest + 2] = ulpinv; goto L270; } } /* Do tests 13 and 14. */ zhet21_(&c__1, uplo, &n, &c__0, &a[a_offset], lda, &d1[1], & d2[1], &z__[z_offset], ldu, &v[v_offset], ldu, &tau[1] , &work[1], &rwork[1], &result[ntest]); if (iuplo == 1) { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = j; for (i__ = 1; i__ <= i__4; ++i__) { i__5 = indx; i__6 = a_subscr(i__, j); work[i__5].r = a[i__6].r, work[i__5].i = a[i__6] .i; ++indx; /* L220: */ } /* L230: */ } } else { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = n; for (i__ = j; i__ <= i__4; ++i__) { i__5 = indx; i__6 = a_subscr(i__, j); work[i__5].r = a[i__6].r, work[i__5].i = a[i__6] .i; ++indx; /* L240: */ } /* L250: */ } } ntest += 2; indwrk = n * (n + 1) / 2 + 1; zhpevd_("N", uplo, &n, &work[1], &d3[1], &z__[z_offset], ldu, &work[indwrk], &lwedc, &rwork[1], &lrwedc, &iwork[1], &liwedc, &iinfo); if (iinfo != 0) { io___68.ciunit = *nounit; s_wsfe(&io___68); /* Writing concatenation */ i__7[0] = 9, a__1[0] = "ZHPEVD(N,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__1, a__1, i__7, &c__3, (ftnlen)11); do_fio(&c__1, ch__1, (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 L270; } } /* Do test 15. */ temp1 = 0.; temp2 = 0.; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ d__3 = temp1, d__4 = (d__1 = d1[j], abs(d__1)), d__3 = max(d__3,d__4), d__4 = (d__2 = d3[j], abs(d__2)); temp1 = max(d__3,d__4); /* Computing MAX */ d__2 = temp2, d__3 = (d__1 = d1[j] - d3[j], abs(d__1)); temp2 = max(d__2,d__3); /* L260: */ } /* Computing MAX */ d__1 = unfl, d__2 = ulp * max(temp1,temp2); result[ntest] = temp2 / max(d__1,d__2); /* Load array WORK with the upper or lower triangular part of the matrix in packed form. */ L270: if (iuplo == 1) { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = j; for (i__ = 1; i__ <= i__4; ++i__) { i__5 = indx; i__6 = a_subscr(i__, j); work[i__5].r = a[i__6].r, work[i__5].i = a[i__6] .i; ++indx; /* L280: */ } /* L290: */ } } else { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = n; for (i__ = j; i__ <= i__4; ++i__) { i__5 = indx; i__6 = a_subscr(i__, j); work[i__5].r = a[i__6].r, work[i__5].i = a[i__6] .i; ++indx; /* L300: */ } /* L310: */ } } ++ntest; if (n > 0) { /* Computing MAX */ d__2 = abs(d1[1]), d__3 = (d__1 = d1[n], abs(d__1)); temp3 = max(d__2,d__3); if (il != 1) { /* Computing MAX */ d__1 = (d1[il] - d1[il - 1]) * .5, d__2 = ulp * 10. * temp3, d__1 = max(d__1,d__2), d__2 = rtunfl * 10.; vl = d1[il] - max(d__1,d__2); } else if (n > 0) { /* Computing MAX */ d__1 = (d1[n] - d1[1]) * .5, d__2 = ulp * 10. * temp3, d__1 = max(d__1,d__2), d__2 = rtunfl * 10.; vl = d1[1] - max(d__1,d__2); } if (iu != n) { /* Computing MAX */ d__1 = (d1[iu + 1] - d1[iu]) * .5, d__2 = ulp * 10. * temp3, d__1 = max(d__1,d__2), d__2 = rtunfl * 10.; vu = d1[iu] + max(d__1,d__2); } else if (n > 0) { /* Computing MAX */ d__1 = (d1[n] - d1[1]) * .5, d__2 = ulp * 10. * temp3, d__1 = max(d__1,d__2), d__2 = rtunfl * 10.; vu = d1[n] + max(d__1,d__2); } } else { temp3 = 0.; vl = 0.; vu = 1.; } zhpevx_("V", "A", uplo, &n, &work[1], &vl, &vu, &il, &iu, & abstol, &m, &wa1[1], &z__[z_offset], ldu, &v[v_offset] , &rwork[1], &iwork[1], &iwork[n * 5 + 1], &iinfo); if (iinfo != 0) { io___69.ciunit = *nounit; s_wsfe(&io___69); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHPEVX(V,A,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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; result[ntest + 1] = ulpinv; result[ntest + 2] = ulpinv; goto L370; } } /* Do tests 16 and 17. */ zhet21_(&c__1, uplo, &n, &c__0, &a[a_offset], ldu, &wa1[1], & d2[1], &z__[z_offset], ldu, &v[v_offset], ldu, &tau[1] , &work[1], &rwork[1], &result[ntest]); ntest += 2; if (iuplo == 1) { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = j; for (i__ = 1; i__ <= i__4; ++i__) { i__5 = indx; i__6 = a_subscr(i__, j); work[i__5].r = a[i__6].r, work[i__5].i = a[i__6] .i; ++indx; /* L320: */ } /* L330: */ } } else { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = n; for (i__ = j; i__ <= i__4; ++i__) { i__5 = indx; i__6 = a_subscr(i__, j); work[i__5].r = a[i__6].r, work[i__5].i = a[i__6] .i; ++indx; /* L340: */ } /* L350: */ } } zhpevx_("N", "A", uplo, &n, &work[1], &vl, &vu, &il, &iu, & abstol, &m2, &wa2[1], &z__[z_offset], ldu, &v[ v_offset], &rwork[1], &iwork[1], &iwork[n * 5 + 1], & iinfo); if (iinfo != 0) { io___70.ciunit = *nounit; s_wsfe(&io___70); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHPEVX(N,A,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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 L370; } } /* Do test 18. */ temp1 = 0.; temp2 = 0.; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ d__3 = temp1, d__4 = (d__1 = wa1[j], abs(d__1)), d__3 = max(d__3,d__4), d__4 = (d__2 = wa2[j], abs(d__2)); temp1 = max(d__3,d__4); /* Computing MAX */ d__2 = temp2, d__3 = (d__1 = wa1[j] - wa2[j], abs(d__1)); temp2 = max(d__2,d__3); /* L360: */ } /* Computing MAX */ d__1 = unfl, d__2 = ulp * max(temp1,temp2); result[ntest] = temp2 / max(d__1,d__2); L370: ++ntest; if (iuplo == 1) { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = j; for (i__ = 1; i__ <= i__4; ++i__) { i__5 = indx; i__6 = a_subscr(i__, j); work[i__5].r = a[i__6].r, work[i__5].i = a[i__6] .i; ++indx; /* L380: */ } /* L390: */ } } else { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = n; for (i__ = j; i__ <= i__4; ++i__) { i__5 = indx; i__6 = a_subscr(i__, j); work[i__5].r = a[i__6].r, work[i__5].i = a[i__6] .i; ++indx; /* L400: */ } /* L410: */ } } zhpevx_("V", "I", uplo, &n, &work[1], &vl, &vu, &il, &iu, & abstol, &m2, &wa2[1], &z__[z_offset], ldu, &v[ v_offset], &rwork[1], &iwork[1], &iwork[n * 5 + 1], & iinfo); if (iinfo != 0) { io___71.ciunit = *nounit; s_wsfe(&io___71); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHPEVX(V,I,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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; result[ntest + 1] = ulpinv; result[ntest + 2] = ulpinv; goto L460; } } /* Do tests 19 and 20. */ zhet22_(&c__1, uplo, &n, &m2, &c__0, &a[a_offset], ldu, &wa2[ 1], &d2[1], &z__[z_offset], ldu, &v[v_offset], ldu, & tau[1], &work[1], &rwork[1], &result[ntest]); ntest += 2; if (iuplo == 1) { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = j; for (i__ = 1; i__ <= i__4; ++i__) { i__5 = indx; i__6 = a_subscr(i__, j); work[i__5].r = a[i__6].r, work[i__5].i = a[i__6] .i; ++indx; /* L420: */ } /* L430: */ } } else { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = n; for (i__ = j; i__ <= i__4; ++i__) { i__5 = indx; i__6 = a_subscr(i__, j); work[i__5].r = a[i__6].r, work[i__5].i = a[i__6] .i; ++indx; /* L440: */ } /* L450: */ } } zhpevx_("N", "I", uplo, &n, &work[1], &vl, &vu, &il, &iu, & abstol, &m3, &wa3[1], &z__[z_offset], ldu, &v[ v_offset], &rwork[1], &iwork[1], &iwork[n * 5 + 1], & iinfo); if (iinfo != 0) { io___72.ciunit = *nounit; s_wsfe(&io___72); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHPEVX(N,I,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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 L460; } } /* Do test 21. */ temp1 = dsxt1_(&c__1, &wa2[1], &m2, &wa3[1], &m3, &abstol, & ulp, &unfl); temp2 = dsxt1_(&c__1, &wa3[1], &m3, &wa2[1], &m2, &abstol, & ulp, &unfl); if (n > 0) { /* Computing MAX */ d__2 = abs(wa1[1]), d__3 = (d__1 = wa1[n], abs(d__1)); temp3 = max(d__2,d__3); } else { temp3 = 0.; } /* Computing MAX */ d__1 = unfl, d__2 = temp3 * ulp; result[ntest] = (temp1 + temp2) / max(d__1,d__2); L460: ++ntest; if (iuplo == 1) { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = j; for (i__ = 1; i__ <= i__4; ++i__) { i__5 = indx; i__6 = a_subscr(i__, j); work[i__5].r = a[i__6].r, work[i__5].i = a[i__6] .i; ++indx; /* L470: */ } /* L480: */ } } else { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = n; for (i__ = j; i__ <= i__4; ++i__) { i__5 = indx; i__6 = a_subscr(i__, j); work[i__5].r = a[i__6].r, work[i__5].i = a[i__6] .i; ++indx; /* L490: */ } /* L500: */ } } zhpevx_("V", "V", uplo, &n, &work[1], &vl, &vu, &il, &iu, & abstol, &m2, &wa2[1], &z__[z_offset], ldu, &v[ v_offset], &rwork[1], &iwork[1], &iwork[n * 5 + 1], & iinfo); if (iinfo != 0) { io___73.ciunit = *nounit; s_wsfe(&io___73); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHPEVX(V,V,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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; result[ntest + 1] = ulpinv; result[ntest + 2] = ulpinv; goto L550; } } /* Do tests 22 and 23. */ zhet22_(&c__1, uplo, &n, &m2, &c__0, &a[a_offset], ldu, &wa2[ 1], &d2[1], &z__[z_offset], ldu, &v[v_offset], ldu, & tau[1], &work[1], &rwork[1], &result[ntest]); ntest += 2; if (iuplo == 1) { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = j; for (i__ = 1; i__ <= i__4; ++i__) { i__5 = indx; i__6 = a_subscr(i__, j); work[i__5].r = a[i__6].r, work[i__5].i = a[i__6] .i; ++indx; /* L510: */ } /* L520: */ } } else { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = n; for (i__ = j; i__ <= i__4; ++i__) { i__5 = indx; i__6 = a_subscr(i__, j); work[i__5].r = a[i__6].r, work[i__5].i = a[i__6] .i; ++indx; /* L530: */ } /* L540: */ } } zhpevx_("N", "V", uplo, &n, &work[1], &vl, &vu, &il, &iu, & abstol, &m3, &wa3[1], &z__[z_offset], ldu, &v[ v_offset], &rwork[1], &iwork[1], &iwork[n * 5 + 1], & iinfo); if (iinfo != 0) { io___74.ciunit = *nounit; s_wsfe(&io___74); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHPEVX(N,V,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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 L550; } } if (m3 == 0 && n > 0) { result[ntest] = ulpinv; goto L550; } /* Do test 24. */ temp1 = dsxt1_(&c__1, &wa2[1], &m2, &wa3[1], &m3, &abstol, & ulp, &unfl); temp2 = dsxt1_(&c__1, &wa3[1], &m3, &wa2[1], &m2, &abstol, & ulp, &unfl); if (n > 0) { /* Computing MAX */ d__2 = abs(wa1[1]), d__3 = (d__1 = wa1[n], abs(d__1)); temp3 = max(d__2,d__3); } else { temp3 = 0.; } /* Computing MAX */ d__1 = unfl, d__2 = temp3 * ulp; result[ntest] = (temp1 + temp2) / max(d__1,d__2); L550: /* Call ZHBEVD and CHBEVX. */ if (jtype <= 7) { kd = 0; } else if (jtype >= 8 && jtype <= 15) { /* Computing MAX */ i__3 = n - 1; kd = max(i__3,0); } else { kd = ihbw; } /* Load array V with the upper or lower triangular part of the matrix in band form. */ if (iuplo == 1) { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ i__4 = 1, i__5 = j - kd; i__6 = j; for (i__ = max(i__4,i__5); i__ <= i__6; ++i__) { i__4 = v_subscr(kd + 1 + i__ - j, j); i__5 = a_subscr(i__, j); v[i__4].r = a[i__5].r, v[i__4].i = a[i__5].i; /* L560: */ } /* L570: */ } } else { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MIN */ i__4 = n, i__5 = j + kd; i__6 = min(i__4,i__5); for (i__ = j; i__ <= i__6; ++i__) { i__4 = v_subscr(i__ + 1 - j, j); i__5 = a_subscr(i__, j); v[i__4].r = a[i__5].r, v[i__4].i = a[i__5].i; /* L580: */ } /* L590: */ } } ++ntest; zhbevd_("V", uplo, &n, &kd, &v[v_offset], ldu, &d1[1], &z__[ z_offset], ldu, &work[1], &lwedc, &rwork[1], &lrwedc, &iwork[1], &liwedc, &iinfo); if (iinfo != 0) { io___76.ciunit = *nounit; s_wsfe(&io___76); /* Writing concatenation */ i__7[0] = 9, a__1[0] = "ZHBEVD(V,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__1, a__1, i__7, &c__3, (ftnlen)11); do_fio(&c__1, ch__1, (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 *)&kd, (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; result[ntest + 1] = ulpinv; result[ntest + 2] = ulpinv; goto L650; } } /* Do tests 25 and 26. */ zhet21_(&c__1, uplo, &n, &c__0, &a[a_offset], lda, &d1[1], & d2[1], &z__[z_offset], ldu, &v[v_offset], ldu, &tau[1] , &work[1], &rwork[1], &result[ntest]); if (iuplo == 1) { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ i__6 = 1, i__4 = j - kd; i__5 = j; for (i__ = max(i__6,i__4); i__ <= i__5; ++i__) { i__6 = v_subscr(kd + 1 + i__ - j, j); i__4 = a_subscr(i__, j); v[i__6].r = a[i__4].r, v[i__6].i = a[i__4].i; /* L600: */ } /* L610: */ } } else { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MIN */ i__6 = n, i__4 = j + kd; i__5 = min(i__6,i__4); for (i__ = j; i__ <= i__5; ++i__) { i__6 = v_subscr(i__ + 1 - j, j); i__4 = a_subscr(i__, j); v[i__6].r = a[i__4].r, v[i__6].i = a[i__4].i; /* L620: */ } /* L630: */ } } ntest += 2; zhbevd_("N", uplo, &n, &kd, &v[v_offset], ldu, &d3[1], &z__[ z_offset], ldu, &work[1], &lwedc, &rwork[1], &lrwedc, &iwork[1], &liwedc, &iinfo); if (iinfo != 0) { io___77.ciunit = *nounit; s_wsfe(&io___77); /* Writing concatenation */ i__7[0] = 9, a__1[0] = "ZHBEVD(N,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__1, a__1, i__7, &c__3, (ftnlen)11); do_fio(&c__1, ch__1, (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 *)&kd, (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 L650; } } /* Do test 27. */ temp1 = 0.; temp2 = 0.; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ d__3 = temp1, d__4 = (d__1 = d1[j], abs(d__1)), d__3 = max(d__3,d__4), d__4 = (d__2 = d3[j], abs(d__2)); temp1 = max(d__3,d__4); /* Computing MAX */ d__2 = temp2, d__3 = (d__1 = d1[j] - d3[j], abs(d__1)); temp2 = max(d__2,d__3); /* L640: */ } /* Computing MAX */ d__1 = unfl, d__2 = ulp * max(temp1,temp2); result[ntest] = temp2 / max(d__1,d__2); /* Load array V with the upper or lower triangular part of the matrix in band form. */ L650: if (iuplo == 1) { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ i__5 = 1, i__6 = j - kd; i__4 = j; for (i__ = max(i__5,i__6); i__ <= i__4; ++i__) { i__5 = v_subscr(kd + 1 + i__ - j, j); i__6 = a_subscr(i__, j); v[i__5].r = a[i__6].r, v[i__5].i = a[i__6].i; /* L660: */ } /* L670: */ } } else { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MIN */ i__5 = n, i__6 = j + kd; i__4 = min(i__5,i__6); for (i__ = j; i__ <= i__4; ++i__) { i__5 = v_subscr(i__ + 1 - j, j); i__6 = a_subscr(i__, j); v[i__5].r = a[i__6].r, v[i__5].i = a[i__6].i; /* L680: */ } /* L690: */ } } ++ntest; zhbevx_("V", "A", uplo, &n, &kd, &v[v_offset], ldu, &u[ u_offset], ldu, &vl, &vu, &il, &iu, &abstol, &m, &wa1[ 1], &z__[z_offset], ldu, &work[1], &rwork[1], &iwork[ 1], &iwork[n * 5 + 1], &iinfo); if (iinfo != 0) { io___78.ciunit = *nounit; s_wsfe(&io___78); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHBEVX(V,A,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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 *)&kd, (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; result[ntest + 1] = ulpinv; result[ntest + 2] = ulpinv; goto L750; } } /* Do tests 28 and 29. */ zhet21_(&c__1, uplo, &n, &c__0, &a[a_offset], ldu, &wa1[1], & d2[1], &z__[z_offset], ldu, &v[v_offset], ldu, &tau[1] , &work[1], &rwork[1], &result[ntest]); ntest += 2; if (iuplo == 1) { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ i__4 = 1, i__5 = j - kd; i__6 = j; for (i__ = max(i__4,i__5); i__ <= i__6; ++i__) { i__4 = v_subscr(kd + 1 + i__ - j, j); i__5 = a_subscr(i__, j); v[i__4].r = a[i__5].r, v[i__4].i = a[i__5].i; /* L700: */ } /* L710: */ } } else { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MIN */ i__4 = n, i__5 = j + kd; i__6 = min(i__4,i__5); for (i__ = j; i__ <= i__6; ++i__) { i__4 = v_subscr(i__ + 1 - j, j); i__5 = a_subscr(i__, j); v[i__4].r = a[i__5].r, v[i__4].i = a[i__5].i; /* L720: */ } /* L730: */ } } zhbevx_("N", "A", uplo, &n, &kd, &v[v_offset], ldu, &u[ u_offset], ldu, &vl, &vu, &il, &iu, &abstol, &m2, & wa2[1], &z__[z_offset], ldu, &work[1], &rwork[1], & iwork[1], &iwork[n * 5 + 1], &iinfo); if (iinfo != 0) { io___79.ciunit = *nounit; s_wsfe(&io___79); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHBEVX(N,A,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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 *)&kd, (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 L750; } } /* Do test 30. */ temp1 = 0.; temp2 = 0.; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ d__3 = temp1, d__4 = (d__1 = wa1[j], abs(d__1)), d__3 = max(d__3,d__4), d__4 = (d__2 = wa2[j], abs(d__2)); temp1 = max(d__3,d__4); /* Computing MAX */ d__2 = temp2, d__3 = (d__1 = wa1[j] - wa2[j], abs(d__1)); temp2 = max(d__2,d__3); /* L740: */ } /* Computing MAX */ d__1 = unfl, d__2 = ulp * max(temp1,temp2); result[ntest] = temp2 / max(d__1,d__2); /* Load array V with the upper or lower triangular part of the matrix in band form. */ L750: ++ntest; if (iuplo == 1) { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ i__6 = 1, i__4 = j - kd; i__5 = j; for (i__ = max(i__6,i__4); i__ <= i__5; ++i__) { i__6 = v_subscr(kd + 1 + i__ - j, j); i__4 = a_subscr(i__, j); v[i__6].r = a[i__4].r, v[i__6].i = a[i__4].i; /* L760: */ } /* L770: */ } } else { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MIN */ i__6 = n, i__4 = j + kd; i__5 = min(i__6,i__4); for (i__ = j; i__ <= i__5; ++i__) { i__6 = v_subscr(i__ + 1 - j, j); i__4 = a_subscr(i__, j); v[i__6].r = a[i__4].r, v[i__6].i = a[i__4].i; /* L780: */ } /* L790: */ } } zhbevx_("V", "I", uplo, &n, &kd, &v[v_offset], ldu, &u[ u_offset], ldu, &vl, &vu, &il, &iu, &abstol, &m2, & wa2[1], &z__[z_offset], ldu, &work[1], &rwork[1], & iwork[1], &iwork[n * 5 + 1], &iinfo); if (iinfo != 0) { io___80.ciunit = *nounit; s_wsfe(&io___80); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHBEVX(V,I,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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 *)&kd, (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; result[ntest + 1] = ulpinv; result[ntest + 2] = ulpinv; goto L840; } } /* Do tests 31 and 32. */ zhet22_(&c__1, uplo, &n, &m2, &c__0, &a[a_offset], ldu, &wa2[ 1], &d2[1], &z__[z_offset], ldu, &v[v_offset], ldu, & tau[1], &work[1], &rwork[1], &result[ntest]); ntest += 2; if (iuplo == 1) { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ i__5 = 1, i__6 = j - kd; i__4 = j; for (i__ = max(i__5,i__6); i__ <= i__4; ++i__) { i__5 = v_subscr(kd + 1 + i__ - j, j); i__6 = a_subscr(i__, j); v[i__5].r = a[i__6].r, v[i__5].i = a[i__6].i; /* L800: */ } /* L810: */ } } else { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MIN */ i__5 = n, i__6 = j + kd; i__4 = min(i__5,i__6); for (i__ = j; i__ <= i__4; ++i__) { i__5 = v_subscr(i__ + 1 - j, j); i__6 = a_subscr(i__, j); v[i__5].r = a[i__6].r, v[i__5].i = a[i__6].i; /* L820: */ } /* L830: */ } } zhbevx_("N", "I", uplo, &n, &kd, &v[v_offset], ldu, &u[ u_offset], ldu, &vl, &vu, &il, &iu, &abstol, &m3, & wa3[1], &z__[z_offset], ldu, &work[1], &rwork[1], & iwork[1], &iwork[n * 5 + 1], &iinfo); if (iinfo != 0) { io___81.ciunit = *nounit; s_wsfe(&io___81); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHBEVX(N,I,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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 *)&kd, (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 L840; } } /* Do test 33. */ temp1 = dsxt1_(&c__1, &wa2[1], &m2, &wa3[1], &m3, &abstol, & ulp, &unfl); temp2 = dsxt1_(&c__1, &wa3[1], &m3, &wa2[1], &m2, &abstol, & ulp, &unfl); if (n > 0) { /* Computing MAX */ d__2 = abs(wa1[1]), d__3 = (d__1 = wa1[n], abs(d__1)); temp3 = max(d__2,d__3); } else { temp3 = 0.; } /* Computing MAX */ d__1 = unfl, d__2 = temp3 * ulp; result[ntest] = (temp1 + temp2) / max(d__1,d__2); /* Load array V with the upper or lower triangular part of the matrix in band form. */ L840: ++ntest; if (iuplo == 1) { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ i__4 = 1, i__5 = j - kd; i__6 = j; for (i__ = max(i__4,i__5); i__ <= i__6; ++i__) { i__4 = v_subscr(kd + 1 + i__ - j, j); i__5 = a_subscr(i__, j); v[i__4].r = a[i__5].r, v[i__4].i = a[i__5].i; /* L850: */ } /* L860: */ } } else { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MIN */ i__4 = n, i__5 = j + kd; i__6 = min(i__4,i__5); for (i__ = j; i__ <= i__6; ++i__) { i__4 = v_subscr(i__ + 1 - j, j); i__5 = a_subscr(i__, j); v[i__4].r = a[i__5].r, v[i__4].i = a[i__5].i; /* L870: */ } /* L880: */ } } zhbevx_("V", "V", uplo, &n, &kd, &v[v_offset], ldu, &u[ u_offset], ldu, &vl, &vu, &il, &iu, &abstol, &m2, & wa2[1], &z__[z_offset], ldu, &work[1], &rwork[1], & iwork[1], &iwork[n * 5 + 1], &iinfo); if (iinfo != 0) { io___82.ciunit = *nounit; s_wsfe(&io___82); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHBEVX(V,V,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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 *)&kd, (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; result[ntest + 1] = ulpinv; result[ntest + 2] = ulpinv; goto L930; } } /* Do tests 34 and 35. */ zhet22_(&c__1, uplo, &n, &m2, &c__0, &a[a_offset], ldu, &wa2[ 1], &d2[1], &z__[z_offset], ldu, &v[v_offset], ldu, & tau[1], &work[1], &rwork[1], &result[ntest]); ntest += 2; if (iuplo == 1) { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ i__6 = 1, i__4 = j - kd; i__5 = j; for (i__ = max(i__6,i__4); i__ <= i__5; ++i__) { i__6 = v_subscr(kd + 1 + i__ - j, j); i__4 = a_subscr(i__, j); v[i__6].r = a[i__4].r, v[i__6].i = a[i__4].i; /* L890: */ } /* L900: */ } } else { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MIN */ i__6 = n, i__4 = j + kd; i__5 = min(i__6,i__4); for (i__ = j; i__ <= i__5; ++i__) { i__6 = v_subscr(i__ + 1 - j, j); i__4 = a_subscr(i__, j); v[i__6].r = a[i__4].r, v[i__6].i = a[i__4].i; /* L910: */ } /* L920: */ } } zhbevx_("N", "V", uplo, &n, &kd, &v[v_offset], ldu, &u[ u_offset], ldu, &vl, &vu, &il, &iu, &abstol, &m3, & wa3[1], &z__[z_offset], ldu, &work[1], &rwork[1], & iwork[1], &iwork[n * 5 + 1], &iinfo); if (iinfo != 0) { io___83.ciunit = *nounit; s_wsfe(&io___83); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHBEVX(N,V,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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 *)&kd, (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 L930; } } if (m3 == 0 && n > 0) { result[ntest] = ulpinv; goto L930; } /* Do test 36. */ temp1 = dsxt1_(&c__1, &wa2[1], &m2, &wa3[1], &m3, &abstol, & ulp, &unfl); temp2 = dsxt1_(&c__1, &wa3[1], &m3, &wa2[1], &m2, &abstol, & ulp, &unfl); if (n > 0) { /* Computing MAX */ d__2 = abs(wa1[1]), d__3 = (d__1 = wa1[n], abs(d__1)); temp3 = max(d__2,d__3); } else { temp3 = 0.; } /* Computing MAX */ d__1 = unfl, d__2 = temp3 * ulp; result[ntest] = (temp1 + temp2) / max(d__1,d__2); L930: /* Call ZHEEV */ zlacpy_(" ", &n, &n, &a[a_offset], lda, &v[v_offset], ldu); ++ntest; zheev_("V", uplo, &n, &a[a_offset], ldu, &d1[1], &work[1], lwork, &rwork[1], &iinfo); if (iinfo != 0) { io___84.ciunit = *nounit; s_wsfe(&io___84); /* Writing concatenation */ i__7[0] = 8, a__1[0] = "ZHEEV(V,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__3, a__1, i__7, &c__3, (ftnlen)10); do_fio(&c__1, ch__3, (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; result[ntest + 1] = ulpinv; result[ntest + 2] = ulpinv; goto L950; } } /* Do tests 37 and 38 */ zhet21_(&c__1, uplo, &n, &c__0, &v[v_offset], ldu, &d1[1], & d2[1], &a[a_offset], ldu, &z__[z_offset], ldu, &tau[1] , &work[1], &rwork[1], &result[ntest]); zlacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); ntest += 2; zheev_("N", uplo, &n, &a[a_offset], ldu, &d3[1], &work[1], lwork, &rwork[1], &iinfo); if (iinfo != 0) { io___85.ciunit = *nounit; s_wsfe(&io___85); /* Writing concatenation */ i__7[0] = 8, a__1[0] = "ZHEEV(N,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__3, a__1, i__7, &c__3, (ftnlen)10); do_fio(&c__1, ch__3, (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 L950; } } /* Do test 39 */ temp1 = 0.; temp2 = 0.; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ d__3 = temp1, d__4 = (d__1 = d1[j], abs(d__1)), d__3 = max(d__3,d__4), d__4 = (d__2 = d3[j], abs(d__2)); temp1 = max(d__3,d__4); /* Computing MAX */ d__2 = temp2, d__3 = (d__1 = d1[j] - d3[j], abs(d__1)); temp2 = max(d__2,d__3); /* L940: */ } /* Computing MAX */ d__1 = unfl, d__2 = ulp * max(temp1,temp2); result[ntest] = temp2 / max(d__1,d__2); L950: zlacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); /* Call ZHPEV Load array WORK with the upper or lower triangular part of the matrix in packed form. */ if (iuplo == 1) { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__5 = j; for (i__ = 1; i__ <= i__5; ++i__) { i__6 = indx; i__4 = a_subscr(i__, j); work[i__6].r = a[i__4].r, work[i__6].i = a[i__4] .i; ++indx; /* L960: */ } /* L970: */ } } else { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__5 = n; for (i__ = j; i__ <= i__5; ++i__) { i__6 = indx; i__4 = a_subscr(i__, j); work[i__6].r = a[i__4].r, work[i__6].i = a[i__4] .i; ++indx; /* L980: */ } /* L990: */ } } ++ntest; indwrk = n * (n + 1) / 2 + 1; zhpev_("V", uplo, &n, &work[1], &d1[1], &z__[z_offset], ldu, & work[indwrk], &rwork[1], &iinfo) ; if (iinfo != 0) { io___86.ciunit = *nounit; s_wsfe(&io___86); /* Writing concatenation */ i__7[0] = 8, a__1[0] = "ZHPEV(V,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__3, a__1, i__7, &c__3, (ftnlen)10); do_fio(&c__1, ch__3, (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; result[ntest + 1] = ulpinv; result[ntest + 2] = ulpinv; goto L1050; } } /* Do tests 40 and 41. */ zhet21_(&c__1, uplo, &n, &c__0, &a[a_offset], lda, &d1[1], & d2[1], &z__[z_offset], ldu, &v[v_offset], ldu, &tau[1] , &work[1], &rwork[1], &result[ntest]); if (iuplo == 1) { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__5 = j; for (i__ = 1; i__ <= i__5; ++i__) { i__6 = indx; i__4 = a_subscr(i__, j); work[i__6].r = a[i__4].r, work[i__6].i = a[i__4] .i; ++indx; /* L1000: */ } /* L1010: */ } } else { indx = 1; i__3 = n; for (j = 1; j <= i__3; ++j) { i__5 = n; for (i__ = j; i__ <= i__5; ++i__) { i__6 = indx; i__4 = a_subscr(i__, j); work[i__6].r = a[i__4].r, work[i__6].i = a[i__4] .i; ++indx; /* L1020: */ } /* L1030: */ } } ntest += 2; indwrk = n * (n + 1) / 2 + 1; zhpev_("N", uplo, &n, &work[1], &d3[1], &z__[z_offset], ldu, & work[indwrk], &rwork[1], &iinfo) ; if (iinfo != 0) { io___87.ciunit = *nounit; s_wsfe(&io___87); /* Writing concatenation */ i__7[0] = 8, a__1[0] = "ZHPEV(N,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__3, a__1, i__7, &c__3, (ftnlen)10); do_fio(&c__1, ch__3, (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 L1050; } } /* Do test 42 */ temp1 = 0.; temp2 = 0.; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ d__3 = temp1, d__4 = (d__1 = d1[j], abs(d__1)), d__3 = max(d__3,d__4), d__4 = (d__2 = d3[j], abs(d__2)); temp1 = max(d__3,d__4); /* Computing MAX */ d__2 = temp2, d__3 = (d__1 = d1[j] - d3[j], abs(d__1)); temp2 = max(d__2,d__3); /* L1040: */ } /* Computing MAX */ d__1 = unfl, d__2 = ulp * max(temp1,temp2); result[ntest] = temp2 / max(d__1,d__2); L1050: /* Call ZHBEV */ if (jtype <= 7) { kd = 0; } else if (jtype >= 8 && jtype <= 15) { /* Computing MAX */ i__3 = n - 1; kd = max(i__3,0); } else { kd = ihbw; } /* Load array V with the upper or lower triangular part of the matrix in band form. */ if (iuplo == 1) { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ i__5 = 1, i__6 = j - kd; i__4 = j; for (i__ = max(i__5,i__6); i__ <= i__4; ++i__) { i__5 = v_subscr(kd + 1 + i__ - j, j); i__6 = a_subscr(i__, j); v[i__5].r = a[i__6].r, v[i__5].i = a[i__6].i; /* L1060: */ } /* L1070: */ } } else { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MIN */ i__5 = n, i__6 = j + kd; i__4 = min(i__5,i__6); for (i__ = j; i__ <= i__4; ++i__) { i__5 = v_subscr(i__ + 1 - j, j); i__6 = a_subscr(i__, j); v[i__5].r = a[i__6].r, v[i__5].i = a[i__6].i; /* L1080: */ } /* L1090: */ } } ++ntest; zhbev_("V", uplo, &n, &kd, &v[v_offset], ldu, &d1[1], &z__[ z_offset], ldu, &work[1], &rwork[1], &iinfo); if (iinfo != 0) { io___88.ciunit = *nounit; s_wsfe(&io___88); /* Writing concatenation */ i__7[0] = 8, a__1[0] = "ZHBEV(V,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__3, a__1, i__7, &c__3, (ftnlen)10); do_fio(&c__1, ch__3, (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 *)&kd, (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; result[ntest + 1] = ulpinv; result[ntest + 2] = ulpinv; goto L1140; } } /* Do tests 43 and 44. */ zhet21_(&c__1, uplo, &n, &c__0, &a[a_offset], lda, &d1[1], & d2[1], &z__[z_offset], ldu, &v[v_offset], ldu, &tau[1] , &work[1], &rwork[1], &result[ntest]); if (iuplo == 1) { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ i__4 = 1, i__5 = j - kd; i__6 = j; for (i__ = max(i__4,i__5); i__ <= i__6; ++i__) { i__4 = v_subscr(kd + 1 + i__ - j, j); i__5 = a_subscr(i__, j); v[i__4].r = a[i__5].r, v[i__4].i = a[i__5].i; /* L1100: */ } /* L1110: */ } } else { i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MIN */ i__4 = n, i__5 = j + kd; i__6 = min(i__4,i__5); for (i__ = j; i__ <= i__6; ++i__) { i__4 = v_subscr(i__ + 1 - j, j); i__5 = a_subscr(i__, j); v[i__4].r = a[i__5].r, v[i__4].i = a[i__5].i; /* L1120: */ } /* L1130: */ } } ntest += 2; zhbev_("N", uplo, &n, &kd, &v[v_offset], ldu, &d3[1], &z__[ z_offset], ldu, &work[1], &rwork[1], &iinfo); if (iinfo != 0) { io___89.ciunit = *nounit; s_wsfe(&io___89); /* Writing concatenation */ i__7[0] = 8, a__1[0] = "ZHBEV(N,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__3, a__1, i__7, &c__3, (ftnlen)10); do_fio(&c__1, ch__3, (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 *)&kd, (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 L1140; } } L1140: /* Do test 45. */ temp1 = 0.; temp2 = 0.; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ d__3 = temp1, d__4 = (d__1 = d1[j], abs(d__1)), d__3 = max(d__3,d__4), d__4 = (d__2 = d3[j], abs(d__2)); temp1 = max(d__3,d__4); /* Computing MAX */ d__2 = temp2, d__3 = (d__1 = d1[j] - d3[j], abs(d__1)); temp2 = max(d__2,d__3); /* L1150: */ } /* Computing MAX */ d__1 = unfl, d__2 = ulp * max(temp1,temp2); result[ntest] = temp2 / max(d__1,d__2); zlacpy_(" ", &n, &n, &a[a_offset], lda, &v[v_offset], ldu); ++ntest; i__3 = *liwork - (n << 1); zheevr_("V", "A", uplo, &n, &a[a_offset], ldu, &vl, &vu, &il, &iu, &abstol, &m, &wa1[1], &z__[z_offset], ldu, & iwork[1], &work[1], lwork, &rwork[1], lrwork, &iwork[( n << 1) + 1], &i__3, &iinfo); if (iinfo != 0) { io___90.ciunit = *nounit; s_wsfe(&io___90); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHEEVR(V,A,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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; result[ntest + 1] = ulpinv; result[ntest + 2] = ulpinv; goto L1170; } } /* Do tests 45 and 46 (or ... ) */ zlacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); zhet21_(&c__1, uplo, &n, &c__0, &a[a_offset], ldu, &wa1[1], & d2[1], &z__[z_offset], ldu, &v[v_offset], ldu, &tau[1] , &work[1], &rwork[1], &result[ntest]); ntest += 2; i__3 = *liwork - (n << 1); zheevr_("N", "A", uplo, &n, &a[a_offset], ldu, &vl, &vu, &il, &iu, &abstol, &m2, &wa2[1], &z__[z_offset], ldu, & iwork[1], &work[1], lwork, &rwork[1], lrwork, &iwork[( n << 1) + 1], &i__3, &iinfo); if (iinfo != 0) { io___91.ciunit = *nounit; s_wsfe(&io___91); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHEEVR(N,A,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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 L1170; } } /* Do test 47 (or ... ) */ temp1 = 0.; temp2 = 0.; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ d__3 = temp1, d__4 = (d__1 = wa1[j], abs(d__1)), d__3 = max(d__3,d__4), d__4 = (d__2 = wa2[j], abs(d__2)); temp1 = max(d__3,d__4); /* Computing MAX */ d__2 = temp2, d__3 = (d__1 = wa1[j] - wa2[j], abs(d__1)); temp2 = max(d__2,d__3); /* L1160: */ } /* Computing MAX */ d__1 = unfl, d__2 = ulp * max(temp1,temp2); result[ntest] = temp2 / max(d__1,d__2); L1170: ++ntest; zlacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); i__3 = *liwork - (n << 1); zheevr_("V", "I", uplo, &n, &a[a_offset], ldu, &vl, &vu, &il, &iu, &abstol, &m2, &wa2[1], &z__[z_offset], ldu, & iwork[1], &work[1], lwork, &rwork[1], lrwork, &iwork[( n << 1) + 1], &i__3, &iinfo); if (iinfo != 0) { io___92.ciunit = *nounit; s_wsfe(&io___92); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHEEVR(V,I,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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; result[ntest + 1] = ulpinv; result[ntest + 2] = ulpinv; goto L1180; } } /* Do tests 48 and 49 (or +??) */ zlacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); zhet22_(&c__1, uplo, &n, &m2, &c__0, &a[a_offset], ldu, &wa2[ 1], &d2[1], &z__[z_offset], ldu, &v[v_offset], ldu, & tau[1], &work[1], &rwork[1], &result[ntest]); ntest += 2; zlacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); i__3 = *liwork - (n << 1); zheevr_("N", "I", uplo, &n, &a[a_offset], ldu, &vl, &vu, &il, &iu, &abstol, &m3, &wa3[1], &z__[z_offset], ldu, & iwork[1], &work[1], lwork, &rwork[1], lrwork, &iwork[( n << 1) + 1], &i__3, &iinfo); if (iinfo != 0) { io___93.ciunit = *nounit; s_wsfe(&io___93); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHEEVR(N,I,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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 L1180; } } /* Do test 50 (or +??) */ temp1 = dsxt1_(&c__1, &wa2[1], &m2, &wa3[1], &m3, &abstol, & ulp, &unfl); temp2 = dsxt1_(&c__1, &wa3[1], &m3, &wa2[1], &m2, &abstol, & ulp, &unfl); /* Computing MAX */ d__1 = unfl, d__2 = ulp * temp3; result[ntest] = (temp1 + temp2) / max(d__1,d__2); L1180: ++ntest; zlacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); i__3 = *liwork - (n << 1); zheevr_("V", "V", uplo, &n, &a[a_offset], ldu, &vl, &vu, &il, &iu, &abstol, &m2, &wa2[1], &z__[z_offset], ldu, & iwork[1], &work[1], lwork, &rwork[1], lrwork, &iwork[( n << 1) + 1], &i__3, &iinfo); if (iinfo != 0) { io___94.ciunit = *nounit; s_wsfe(&io___94); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHEEVR(V,V,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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; result[ntest + 1] = ulpinv; result[ntest + 2] = ulpinv; goto L1190; } } /* Do tests 51 and 52 (or +??) */ zlacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); zhet22_(&c__1, uplo, &n, &m2, &c__0, &a[a_offset], ldu, &wa2[ 1], &d2[1], &z__[z_offset], ldu, &v[v_offset], ldu, & tau[1], &work[1], &rwork[1], &result[ntest]); ntest += 2; zlacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); i__3 = *liwork - (n << 1); zheevr_("N", "V", uplo, &n, &a[a_offset], ldu, &vl, &vu, &il, &iu, &abstol, &m3, &wa3[1], &z__[z_offset], ldu, & iwork[1], &work[1], lwork, &rwork[1], lrwork, &iwork[( n << 1) + 1], &i__3, &iinfo); if (iinfo != 0) { io___95.ciunit = *nounit; s_wsfe(&io___95); /* Writing concatenation */ i__7[0] = 11, a__1[0] = "ZHEEVR(N,V,"; i__7[1] = 1, a__1[1] = uplo; i__7[2] = 1, a__1[2] = ")"; s_cat(ch__2, a__1, i__7, &c__3, (ftnlen)13); do_fio(&c__1, ch__2, (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 L1190; } } if (m3 == 0 && n > 0) { result[ntest] = ulpinv; goto L1190; } /* Do test 52 (or +??) */ temp1 = dsxt1_(&c__1, &wa2[1], &m2, &wa3[1], &m3, &abstol, & ulp, &unfl); temp2 = dsxt1_(&c__1, &wa3[1], &m3, &wa2[1], &m2, &abstol, & ulp, &unfl); if (n > 0) { /* Computing MAX */ d__2 = abs(wa1[1]), d__3 = (d__1 = wa1[n], abs(d__1)); temp3 = max(d__2,d__3); } else { temp3 = 0.; } /* Computing MAX */ d__1 = unfl, d__2 = temp3 * ulp; result[ntest] = (temp1 + temp2) / max(d__1,d__2); zlacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); /* Load array V with the upper or lower triangular part of the matrix in band form. */ L1190: /* L1200: */ ; } /* End of Loop -- Check for RESULT(j) > THRESH */ ntestt += ntest; dlafts_("ZST", &n, &n, &jtype, &ntest, &result[1], ioldsd, thresh, nounit, &nerrs); L1210: ; } /* L1220: */ } /* Summary */ alasvm_("ZST", nounit, &nerrs, &ntestt, &c__0); return 0; /* End of ZDRVST */ } /* zdrvst_ */ #undef v_ref #undef v_subscr #undef u_ref #undef u_subscr #undef a_ref #undef a_subscr