#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 complex c_b1 = {0.f,0.f}; static complex c_b2 = {1.f,0.f}; static integer c__2 = 2; static integer c__0 = 0; static integer c__6 = 6; static real c_b34 = 1.f; static integer c__1 = 1; static real c_b44 = 0.f; static integer c__4 = 4; static integer c__3 = 3; /* Subroutine */ int cdrvst_(integer *nsizes, integer *nn, integer *ntypes, logical *dotype, integer *iseed, real *thresh, integer *nounit, complex *a, integer *lda, real *d1, real *d2, real *d3, real *wa1, real *wa2, real *wa3, complex *u, integer *ldu, complex *v, complex * tau, complex *z__, complex *work, integer *lwork, real *rwork, integer *lrwork, integer *iwork, integer *liwork, real *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 CDRVST: \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 CDRVST: \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]; real r__1, r__2, r__3, r__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 real cond; static integer jcol, ihbw, indx, nmax; static real unfl, ovfl; static char uplo[1]; static integer irow; static real temp1, temp2, temp3; static integer i__, j, idiag, m, n; static logical badnn; extern doublereal ssxt1_(integer *, real *, integer *, real *, integer *, real *, real *, real *); extern /* Subroutine */ int chbev_(char *, char *, integer *, integer *, complex *, integer *, real *, complex *, integer *, complex *, real *, integer *), chet21_(integer *, char *, integer *, integer *, complex *, integer *, real *, real *, complex *, integer *, complex *, integer *, complex *, complex *, real *, real *), cheev_(char *, char *, integer *, complex *, integer *, real *, complex *, integer *, real *, integer *), chet22_(integer *, char *, integer *, integer *, integer *, complex *, integer *, real *, real *, complex *, integer *, complex *, integer *, complex *, complex *, real *, real *); static integer imode, lwedc, iinfo; extern /* Subroutine */ int chpev_(char *, char *, integer *, complex *, real *, complex *, integer *, complex *, real *, integer *); static real aninv, anorm; static integer itemp, nmats, jsize, iuplo, nerrs, itype, j1, j2, jtype, m2, m3, ntest, iseed2[4], iseed3[4], kd, il; extern /* Subroutine */ int slabad_(real *, real *), chbevd_(char *, char *, integer *, integer *, complex *, integer *, real *, complex *, integer *, complex *, integer *, real *, integer *, integer *, integer *, integer *); static integer iu; extern /* Subroutine */ int cheevd_(char *, char *, integer *, complex *, integer *, real *, complex *, integer *, real *, integer *, integer *, integer *, integer *); static real vl; static integer liwedc; extern doublereal slamch_(char *); extern /* Subroutine */ int chpevd_(char *, char *, integer *, complex *, real *, complex *, integer *, complex *, integer *, real *, integer *, integer *, integer *, integer *); static real vu; static integer idumma[1]; extern /* Subroutine */ int cheevr_(char *, char *, char *, integer *, complex *, integer *, real *, real *, integer *, integer *, real * , integer *, real *, complex *, integer *, integer *, complex *, integer *, real *, integer *, integer *, integer *, integer *); static integer ioldsd[4]; extern /* Subroutine */ int chbevx_(char *, char *, char *, integer *, integer *, complex *, integer *, complex *, integer *, real *, real *, integer *, integer *, real *, integer *, real *, complex * , integer *, complex *, real *, integer *, integer *, integer *); static integer lrwedc; extern /* Subroutine */ int clacpy_(char *, integer *, integer *, complex *, integer *, complex *, integer *), cheevx_(char *, char *, char *, integer *, complex *, integer *, real *, real *, integer *, integer *, real *, integer *, real *, complex *, integer *, complex *, integer *, real *, integer *, integer *, integer *); extern doublereal slarnd_(integer *, integer *); static real abstol; extern /* Subroutine */ int alasvm_(char *, integer *, integer *, integer *, integer *), claset_(char *, integer *, integer *, complex *, complex *, complex *, integer *), clatmr_( integer *, integer *, char *, integer *, char *, complex *, integer *, real *, complex *, char *, char *, complex *, integer * , real *, complex *, integer *, real *, char *, integer *, integer *, integer *, real *, real *, char *, complex *, integer * , integer *, integer *), clatms_(integer *, integer *, char *, integer *, char *, real *, integer *, real *, real *, integer *, integer *, char *, complex *, integer *, complex *, integer *), xerbla_(char *, integer *), slafts_(char *, integer *, integer *, integer *, integer *, real *, integer *, real *, integer *, integer *); static integer indwrk; extern /* Subroutine */ int chpevx_(char *, char *, char *, integer *, complex *, real *, real *, integer *, integer *, real *, integer * , real *, complex *, integer *, complex *, real *, integer *, integer *, integer *); static real rtovfl; static integer mtypes, ntestt; static real rtunfl, ulpinv; static integer lgn; static real 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 ======= CDRVST checks the Hermitian eigenvalue problem drivers. CHEEVD computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix, using a divide-and-conquer algorithm. CHEEVX computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix. CHEEVR computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix using the Relatively Robust Representation where it can. CHPEVD computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix in packed storage, using a divide-and-conquer algorithm. CHPEVX computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix in packed storage. CHBEVD computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix, using a divide-and-conquer algorithm. CHBEVX computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix. CHEEV computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix. CHPEV computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix in packed storage. CHBEV computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix. When CDRVST 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, CDRVST 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, CDRVST 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 CDRVST to continue the same random number sequence. Modified. THRESH REAL 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 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 REAL array, dimension (max(NN)) The eigenvalues of A, as computed by CSTEQR simlutaneously with Z. On exit, the eigenvalues in D1 correspond with the matrix in A. Modified. D2 REAL array, dimension (max(NN)) The eigenvalues of A, as computed by CSTEQR if Z is not computed. On exit, the eigenvalues in D2 correspond with the matrix in A. Modified. D3 REAL array, dimension (max(NN)) The eigenvalues of A, as computed by SSTERF. On exit, the eigenvalues in D3 correspond with the matrix in A. Modified. WA1 REAL array, dimension WA2 REAL array, dimension WA3 REAL array, dimension U COMPLEX array, dimension (LDU, max(NN)) The unitary matrix computed by CHETRD + CUNGC3. 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 array, dimension (LDU, max(NN)) The Housholder vectors computed by CHETRD in reducing A to tridiagonal form. Modified. TAU COMPLEX array, dimension (max(NN)) The Householder factors computed by CHETRD in reducing A to tridiagonal form. Modified. Z COMPLEX array, dimension (LDU, max(NN)) The unitary matrix of eigenvectors computed by CHEEVD, CHEEVX, CHPEVD, CHPEVX, CHBEVD, and CHBEVX. Modified. WORK - COMPLEX 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 REAL 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 REAL 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 SLATMR, SLATMS, CHETRD, SORGC3, CSTEQR, SSTERF, or SORMC2 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 SLAFTS). 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_("CDRVST", &i__1); return 0; } /* Quick return if nothing to do */ if (*nsizes == 0 || *ntypes == 0) { return 0; } /* More Important constants */ unfl = slamch_("Safe minimum"); ovfl = slamch_("Overflow"); slabad_(&unfl, &ovfl); ulp = slamch_("Epsilon") * slamch_("Base"); ulpinv = 1.f / 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((real) n) / log(2.f)); 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.f / (real) 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.f; goto L70; L50: anorm = rtovfl * ulp * aninv; goto L70; L60: anorm = rtunfl * n * ulpinv; goto L70; L70: claset_("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.f; /* L80: */ } } else if (itype == 4) { /* Diagonal Matrix, [Eigen]values Specified */ clatms_(&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 */ clatms_(&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 */ clatmr_(&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 */ clatmr_(&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) * slarnd_(&c__1, iseed3)); clatms_(&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. */ claset_("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) * slarnd_(&c__1, iseed2)) + 1; iu = (integer) ((n - 1) * slarnd_(&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 CHEEVD and CHEEVX. */ clacpy_(" ", &n, &n, &a[a_offset], lda, &v[v_offset], ldu); ++ntest; cheevd_("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] = "CHEEVD(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. */ chet21_(&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]); clacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); ntest += 2; cheevd_("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] = "CHEEVD(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.f; temp2 = 0.f; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ r__3 = temp1, r__4 = (r__1 = d1[j], dabs(r__1)), r__3 = max(r__3,r__4), r__4 = (r__2 = d3[j], dabs(r__2)); temp1 = dmax(r__3,r__4); /* Computing MAX */ r__2 = temp2, r__3 = (r__1 = d1[j] - d3[j], dabs(r__1)); temp2 = dmax(r__2,r__3); /* L120: */ } /* Computing MAX */ r__1 = unfl, r__2 = ulp * dmax(temp1,temp2); result[ntest] = temp2 / dmax(r__1,r__2); L130: clacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); ++ntest; if (n > 0) { /* Computing MAX */ r__2 = dabs(d1[1]), r__3 = (r__1 = d1[n], dabs(r__1)); temp3 = dmax(r__2,r__3); if (il != 1) { /* Computing MAX */ r__1 = (d1[il] - d1[il - 1]) * .5f, r__2 = ulp * 10.f * temp3, r__1 = max(r__1,r__2), r__2 = rtunfl * 10.f; vl = d1[il] - dmax(r__1,r__2); } else if (n > 0) { /* Computing MAX */ r__1 = (d1[n] - d1[1]) * .5f, r__2 = ulp * 10.f * temp3, r__1 = max(r__1,r__2), r__2 = rtunfl * 10.f; vl = d1[1] - dmax(r__1,r__2); } if (iu != n) { /* Computing MAX */ r__1 = (d1[iu + 1] - d1[iu]) * .5f, r__2 = ulp * 10.f * temp3, r__1 = max(r__1,r__2), r__2 = rtunfl * 10.f; vu = d1[iu] + dmax(r__1,r__2); } else if (n > 0) { /* Computing MAX */ r__1 = (d1[n] - d1[1]) * .5f, r__2 = ulp * 10.f * temp3, r__1 = max(r__1,r__2), r__2 = rtunfl * 10.f; vu = d1[n] + dmax(r__1,r__2); } } else { temp3 = 0.f; vl = 0.f; vu = 1.f; } cheevx_("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] = "CHEEVX(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. */ clacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); chet21_(&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; cheevx_("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] = "CHEEVX(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.f; temp2 = 0.f; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ r__3 = temp1, r__4 = (r__1 = wa1[j], dabs(r__1)), r__3 = max(r__3,r__4), r__4 = (r__2 = wa2[j], dabs(r__2)) ; temp1 = dmax(r__3,r__4); /* Computing MAX */ r__2 = temp2, r__3 = (r__1 = wa1[j] - wa2[j], dabs(r__1)); temp2 = dmax(r__2,r__3); /* L140: */ } /* Computing MAX */ r__1 = unfl, r__2 = ulp * dmax(temp1,temp2); result[ntest] = temp2 / dmax(r__1,r__2); L150: clacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); ++ntest; cheevx_("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] = "CHEEVX(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. */ clacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); chet22_(&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; cheevx_("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] = "CHEEVX(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 = ssxt1_(&c__1, &wa2[1], &m2, &wa3[1], &m3, &abstol, & ulp, &unfl); temp2 = ssxt1_(&c__1, &wa3[1], &m3, &wa2[1], &m2, &abstol, & ulp, &unfl); if (n > 0) { /* Computing MAX */ r__2 = dabs(wa1[1]), r__3 = (r__1 = wa1[n], dabs(r__1)); temp3 = dmax(r__2,r__3); } else { temp3 = 0.f; } /* Computing MAX */ r__1 = unfl, r__2 = temp3 * ulp; result[ntest] = (temp1 + temp2) / dmax(r__1,r__2); L160: clacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); ++ntest; cheevx_("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] = "CHEEVX(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. */ clacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); chet22_(&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; cheevx_("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] = "CHEEVX(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 = ssxt1_(&c__1, &wa2[1], &m2, &wa3[1], &m3, &abstol, & ulp, &unfl); temp2 = ssxt1_(&c__1, &wa3[1], &m3, &wa2[1], &m2, &abstol, & ulp, &unfl); if (n > 0) { /* Computing MAX */ r__2 = dabs(wa1[1]), r__3 = (r__1 = wa1[n], dabs(r__1)); temp3 = dmax(r__2,r__3); } else { temp3 = 0.f; } /* Computing MAX */ r__1 = unfl, r__2 = temp3 * ulp; result[ntest] = (temp1 + temp2) / dmax(r__1,r__2); L170: /* Call CHPEVD and CHPEVX. */ clacpy_(" ", &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; chpevd_("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] = "CHPEVD(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. */ chet21_(&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; chpevd_("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] = "CHPEVD(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.f; temp2 = 0.f; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ r__3 = temp1, r__4 = (r__1 = d1[j], dabs(r__1)), r__3 = max(r__3,r__4), r__4 = (r__2 = d3[j], dabs(r__2)); temp1 = dmax(r__3,r__4); /* Computing MAX */ r__2 = temp2, r__3 = (r__1 = d1[j] - d3[j], dabs(r__1)); temp2 = dmax(r__2,r__3); /* L260: */ } /* Computing MAX */ r__1 = unfl, r__2 = ulp * dmax(temp1,temp2); result[ntest] = temp2 / dmax(r__1,r__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 */ r__2 = dabs(d1[1]), r__3 = (r__1 = d1[n], dabs(r__1)); temp3 = dmax(r__2,r__3); if (il != 1) { /* Computing MAX */ r__1 = (d1[il] - d1[il - 1]) * .5f, r__2 = ulp * 10.f * temp3, r__1 = max(r__1,r__2), r__2 = rtunfl * 10.f; vl = d1[il] - dmax(r__1,r__2); } else if (n > 0) { /* Computing MAX */ r__1 = (d1[n] - d1[1]) * .5f, r__2 = ulp * 10.f * temp3, r__1 = max(r__1,r__2), r__2 = rtunfl * 10.f; vl = d1[1] - dmax(r__1,r__2); } if (iu != n) { /* Computing MAX */ r__1 = (d1[iu + 1] - d1[iu]) * .5f, r__2 = ulp * 10.f * temp3, r__1 = max(r__1,r__2), r__2 = rtunfl * 10.f; vu = d1[iu] + dmax(r__1,r__2); } else if (n > 0) { /* Computing MAX */ r__1 = (d1[n] - d1[1]) * .5f, r__2 = ulp * 10.f * temp3, r__1 = max(r__1,r__2), r__2 = rtunfl * 10.f; vu = d1[n] + dmax(r__1,r__2); } } else { temp3 = 0.f; vl = 0.f; vu = 1.f; } chpevx_("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] = "CHPEVX(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. */ chet21_(&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: */ } } chpevx_("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] = "CHPEVX(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.f; temp2 = 0.f; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ r__3 = temp1, r__4 = (r__1 = wa1[j], dabs(r__1)), r__3 = max(r__3,r__4), r__4 = (r__2 = wa2[j], dabs(r__2)) ; temp1 = dmax(r__3,r__4); /* Computing MAX */ r__2 = temp2, r__3 = (r__1 = wa1[j] - wa2[j], dabs(r__1)); temp2 = dmax(r__2,r__3); /* L360: */ } /* Computing MAX */ r__1 = unfl, r__2 = ulp * dmax(temp1,temp2); result[ntest] = temp2 / dmax(r__1,r__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: */ } } chpevx_("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] = "CHPEVX(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. */ chet22_(&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: */ } } chpevx_("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] = "CHPEVX(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 = ssxt1_(&c__1, &wa2[1], &m2, &wa3[1], &m3, &abstol, & ulp, &unfl); temp2 = ssxt1_(&c__1, &wa3[1], &m3, &wa2[1], &m2, &abstol, & ulp, &unfl); if (n > 0) { /* Computing MAX */ r__2 = dabs(wa1[1]), r__3 = (r__1 = wa1[n], dabs(r__1)); temp3 = dmax(r__2,r__3); } else { temp3 = 0.f; } /* Computing MAX */ r__1 = unfl, r__2 = temp3 * ulp; result[ntest] = (temp1 + temp2) / dmax(r__1,r__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: */ } } chpevx_("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] = "CHPEVX(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. */ chet22_(&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: */ } } chpevx_("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] = "CHPEVX(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 = ssxt1_(&c__1, &wa2[1], &m2, &wa3[1], &m3, &abstol, & ulp, &unfl); temp2 = ssxt1_(&c__1, &wa3[1], &m3, &wa2[1], &m2, &abstol, & ulp, &unfl); if (n > 0) { /* Computing MAX */ r__2 = dabs(wa1[1]), r__3 = (r__1 = wa1[n], dabs(r__1)); temp3 = dmax(r__2,r__3); } else { temp3 = 0.f; } /* Computing MAX */ r__1 = unfl, r__2 = temp3 * ulp; result[ntest] = (temp1 + temp2) / dmax(r__1,r__2); L550: /* Call CHBEVD 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; chbevd_("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] = "CHBEVD(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. */ chet21_(&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; chbevd_("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] = "CHBEVD(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.f; temp2 = 0.f; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ r__3 = temp1, r__4 = (r__1 = d1[j], dabs(r__1)), r__3 = max(r__3,r__4), r__4 = (r__2 = d3[j], dabs(r__2)); temp1 = dmax(r__3,r__4); /* Computing MAX */ r__2 = temp2, r__3 = (r__1 = d1[j] - d3[j], dabs(r__1)); temp2 = dmax(r__2,r__3); /* L640: */ } /* Computing MAX */ r__1 = unfl, r__2 = ulp * dmax(temp1,temp2); result[ntest] = temp2 / dmax(r__1,r__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; chbevx_("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] = "CHBEVX(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. */ chet21_(&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: */ } } chbevx_("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] = "CHBEVX(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.f; temp2 = 0.f; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ r__3 = temp1, r__4 = (r__1 = wa1[j], dabs(r__1)), r__3 = max(r__3,r__4), r__4 = (r__2 = wa2[j], dabs(r__2)) ; temp1 = dmax(r__3,r__4); /* Computing MAX */ r__2 = temp2, r__3 = (r__1 = wa1[j] - wa2[j], dabs(r__1)); temp2 = dmax(r__2,r__3); /* L740: */ } /* Computing MAX */ r__1 = unfl, r__2 = ulp * dmax(temp1,temp2); result[ntest] = temp2 / dmax(r__1,r__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: */ } } chbevx_("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] = "CHBEVX(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. */ chet22_(&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: */ } } chbevx_("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] = "CHBEVX(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 = ssxt1_(&c__1, &wa2[1], &m2, &wa3[1], &m3, &abstol, & ulp, &unfl); temp2 = ssxt1_(&c__1, &wa3[1], &m3, &wa2[1], &m2, &abstol, & ulp, &unfl); if (n > 0) { /* Computing MAX */ r__2 = dabs(wa1[1]), r__3 = (r__1 = wa1[n], dabs(r__1)); temp3 = dmax(r__2,r__3); } else { temp3 = 0.f; } /* Computing MAX */ r__1 = unfl, r__2 = temp3 * ulp; result[ntest] = (temp1 + temp2) / dmax(r__1,r__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: */ } } chbevx_("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] = "CHBEVX(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. */ chet22_(&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: */ } } chbevx_("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] = "CHBEVX(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 = ssxt1_(&c__1, &wa2[1], &m2, &wa3[1], &m3, &abstol, & ulp, &unfl); temp2 = ssxt1_(&c__1, &wa3[1], &m3, &wa2[1], &m2, &abstol, & ulp, &unfl); if (n > 0) { /* Computing MAX */ r__2 = dabs(wa1[1]), r__3 = (r__1 = wa1[n], dabs(r__1)); temp3 = dmax(r__2,r__3); } else { temp3 = 0.f; } /* Computing MAX */ r__1 = unfl, r__2 = temp3 * ulp; result[ntest] = (temp1 + temp2) / dmax(r__1,r__2); L930: /* Call CHEEV */ clacpy_(" ", &n, &n, &a[a_offset], lda, &v[v_offset], ldu); ++ntest; cheev_("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] = "CHEEV(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 */ chet21_(&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]); clacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); ntest += 2; cheev_("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] = "CHEEV(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.f; temp2 = 0.f; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ r__3 = temp1, r__4 = (r__1 = d1[j], dabs(r__1)), r__3 = max(r__3,r__4), r__4 = (r__2 = d3[j], dabs(r__2)); temp1 = dmax(r__3,r__4); /* Computing MAX */ r__2 = temp2, r__3 = (r__1 = d1[j] - d3[j], dabs(r__1)); temp2 = dmax(r__2,r__3); /* L940: */ } /* Computing MAX */ r__1 = unfl, r__2 = ulp * dmax(temp1,temp2); result[ntest] = temp2 / dmax(r__1,r__2); L950: clacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); /* Call CHPEV 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; chpev_("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] = "CHPEV(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. */ chet21_(&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; chpev_("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] = "CHPEV(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.f; temp2 = 0.f; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ r__3 = temp1, r__4 = (r__1 = d1[j], dabs(r__1)), r__3 = max(r__3,r__4), r__4 = (r__2 = d3[j], dabs(r__2)); temp1 = dmax(r__3,r__4); /* Computing MAX */ r__2 = temp2, r__3 = (r__1 = d1[j] - d3[j], dabs(r__1)); temp2 = dmax(r__2,r__3); /* L1040: */ } /* Computing MAX */ r__1 = unfl, r__2 = ulp * dmax(temp1,temp2); result[ntest] = temp2 / dmax(r__1,r__2); L1050: /* Call CHBEV */ 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; chbev_("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] = "CHBEV(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. */ chet21_(&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; chbev_("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] = "CHBEV(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.f; temp2 = 0.f; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ r__3 = temp1, r__4 = (r__1 = d1[j], dabs(r__1)), r__3 = max(r__3,r__4), r__4 = (r__2 = d3[j], dabs(r__2)); temp1 = dmax(r__3,r__4); /* Computing MAX */ r__2 = temp2, r__3 = (r__1 = d1[j] - d3[j], dabs(r__1)); temp2 = dmax(r__2,r__3); /* L1150: */ } /* Computing MAX */ r__1 = unfl, r__2 = ulp * dmax(temp1,temp2); result[ntest] = temp2 / dmax(r__1,r__2); clacpy_(" ", &n, &n, &a[a_offset], lda, &v[v_offset], ldu); ++ntest; i__3 = *liwork - (n << 1); cheevr_("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] = "CHEEVR(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 ... ) */ clacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); chet21_(&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); cheevr_("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] = "CHEEVR(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.f; temp2 = 0.f; i__3 = n; for (j = 1; j <= i__3; ++j) { /* Computing MAX */ r__3 = temp1, r__4 = (r__1 = wa1[j], dabs(r__1)), r__3 = max(r__3,r__4), r__4 = (r__2 = wa2[j], dabs(r__2)) ; temp1 = dmax(r__3,r__4); /* Computing MAX */ r__2 = temp2, r__3 = (r__1 = wa1[j] - wa2[j], dabs(r__1)); temp2 = dmax(r__2,r__3); /* L1160: */ } /* Computing MAX */ r__1 = unfl, r__2 = ulp * dmax(temp1,temp2); result[ntest] = temp2 / dmax(r__1,r__2); L1170: ++ntest; clacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); i__3 = *liwork - (n << 1); cheevr_("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] = "CHEEVR(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 +??) */ clacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); chet22_(&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; clacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); i__3 = *liwork - (n << 1); cheevr_("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] = "CHEEVR(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 = ssxt1_(&c__1, &wa2[1], &m2, &wa3[1], &m3, &abstol, & ulp, &unfl); temp2 = ssxt1_(&c__1, &wa3[1], &m3, &wa2[1], &m2, &abstol, & ulp, &unfl); /* Computing MAX */ r__1 = unfl, r__2 = ulp * temp3; result[ntest] = (temp1 + temp2) / dmax(r__1,r__2); L1180: ++ntest; clacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); i__3 = *liwork - (n << 1); cheevr_("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] = "CHEEVR(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 +??) */ clacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); chet22_(&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; clacpy_(" ", &n, &n, &v[v_offset], ldu, &a[a_offset], lda); i__3 = *liwork - (n << 1); cheevr_("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] = "CHEEVR(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 = ssxt1_(&c__1, &wa2[1], &m2, &wa3[1], &m3, &abstol, & ulp, &unfl); temp2 = ssxt1_(&c__1, &wa3[1], &m3, &wa2[1], &m2, &abstol, & ulp, &unfl); if (n > 0) { /* Computing MAX */ r__2 = dabs(wa1[1]), r__3 = (r__1 = wa1[n], dabs(r__1)); temp3 = dmax(r__2,r__3); } else { temp3 = 0.f; } /* Computing MAX */ r__1 = unfl, r__2 = temp3 * ulp; result[ntest] = (temp1 + temp2) / dmax(r__1,r__2); clacpy_(" ", &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; slafts_("CST", &n, &n, &jtype, &ntest, &result[1], ioldsd, thresh, nounit, &nerrs); L1210: ; } /* L1220: */ } /* Summary */ alasvm_("CST", nounit, &nerrs, &ntestt, &c__0); return 0; /* End of CDRVST */ } /* cdrvst_ */ #undef v_ref #undef v_subscr #undef u_ref #undef u_subscr #undef a_ref #undef a_subscr