dchkhs.c

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/* dchkhs.f -- translated by f2c (version 20061008).
   You must link the resulting object file with libf2c:
        on Microsoft Windows system, link with libf2c.lib;
        on Linux or Unix systems, link with .../path/to/libf2c.a -lm
        or, if you install libf2c.a in a standard place, with -lf2c -lm
        -- in that order, at the end of the command line, as in
                cc *.o -lf2c -lm
        Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,

                http://www.netlib.org/f2c/libf2c.zip
*/

#include "f2c.h"
#include "blaswrap.h"

/* Table of constant values */

static doublereal c_b18 = 0.;
static integer c__0 = 0;
static doublereal c_b32 = 1.;
static integer c__4 = 4;
static integer c__6 = 6;
static integer c__1 = 1;

/* Subroutine */ int dchkhs_(integer *nsizes, integer *nn, integer *ntypes, 
        logical *dotype, integer *iseed, doublereal *thresh, integer *nounit, 
        doublereal *a, integer *lda, doublereal *h__, doublereal *t1, 
        doublereal *t2, doublereal *u, integer *ldu, doublereal *z__, 
        doublereal *uz, doublereal *wr1, doublereal *wi1, doublereal *wr3, 
        doublereal *wi3, doublereal *evectl, doublereal *evectr, doublereal *
        evecty, doublereal *evectx, doublereal *uu, doublereal *tau, 
        doublereal *work, integer *nwork, integer *iwork, logical *select, 
        doublereal *result, integer *info)
{
    /* Initialized data */

    static integer ktype[21] = { 1,2,3,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,9,9,9 };
    static integer kmagn[21] = { 1,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1,2,3,1,2,3 };
    static integer kmode[21] = { 0,0,0,4,3,1,4,4,4,3,1,5,4,3,1,5,5,5,4,3,1 };
    static integer kconds[21] = { 0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,0,0,0 };

    /* Format strings */
    static char fmt_9999[] = "(\002 DCHKHS: \002,a,\002 returned INFO=\002,i"
            "6,\002.\002,/9x,\002N=\002,i6,\002, JTYPE=\002,i6,\002, ISEED="
            "(\002,3(i5,\002,\002),i5,\002)\002)";
    static char fmt_9998[] = "(\002 DCHKHS: \002,a,\002 Eigenvectors from"
            " \002,a,\002 incorrectly \002,\002normalized.\002,/\002 Bits of "
            "error=\002,0p,g10.3,\002,\002,9x,\002N=\002,i6,\002, JTYPE=\002,"
            "i6,\002, ISEED=(\002,3(i5,\002,\002),i5,\002)\002)";
    static char fmt_9997[] = "(\002 DCHKHS: Selected \002,a,\002 Eigenvector"
            "s from \002,a,\002 do not match other eigenvectors \002,9x,\002N="
            "\002,i6,\002, JTYPE=\002,i6,\002, ISEED=(\002,3(i5,\002,\002),i5,"
            "\002)\002)";

    /* System generated locals */
    integer a_dim1, a_offset, evectl_dim1, evectl_offset, evectr_dim1, 
            evectr_offset, evectx_dim1, evectx_offset, evecty_dim1, 
            evecty_offset, h_dim1, h_offset, t1_dim1, t1_offset, t2_dim1, 
            t2_offset, u_dim1, u_offset, uu_dim1, uu_offset, uz_dim1, 
            uz_offset, z_dim1, z_offset, i__1, i__2, i__3, i__4;
    doublereal d__1, d__2, d__3, d__4, d__5, d__6;

    /* Builtin functions */
    double sqrt(doublereal);
    integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);

    /* Local variables */
    integer i__, j, k, n, n1, jj, in, ihi, ilo;
    doublereal ulp, cond;
    integer jcol, nmax;
    doublereal unfl, ovfl, temp1, temp2;
    logical badnn;
    extern /* Subroutine */ int dget10_(integer *, integer *, doublereal *, 
            integer *, doublereal *, integer *, doublereal *, doublereal *), 
            dget22_(char *, char *, char *, integer *, doublereal *, integer *
, doublereal *, integer *, doublereal *, doublereal *, doublereal 
            *, doublereal *), dgemm_(char *, char *, 
            integer *, integer *, integer *, doublereal *, doublereal *, 
            integer *, doublereal *, integer *, doublereal *, doublereal *, 
            integer *);
    logical match;
    integer imode;
    doublereal dumma[6];
    integer iinfo, nselc;
    doublereal conds;
    extern /* Subroutine */ int dhst01_(integer *, integer *, integer *, 
            doublereal *, integer *, doublereal *, integer *, doublereal *, 
            integer *, doublereal *, integer *, doublereal *);
    doublereal aninv, anorm;
    extern /* Subroutine */ int dcopy_(integer *, doublereal *, integer *, 
            doublereal *, integer *);
    integer nmats, nselr, jsize, nerrs, itype, jtype, ntest;
    doublereal rtulp;
    extern /* Subroutine */ int dlabad_(doublereal *, doublereal *);
    extern doublereal dlamch_(char *);
    extern /* Subroutine */ int dgehrd_(integer *, integer *, integer *, 
            doublereal *, integer *, doublereal *, doublereal *, integer *, 
            integer *);
    char adumma[1*1];
    extern /* Subroutine */ int dlatme_(integer *, char *, integer *, 
            doublereal *, integer *, doublereal *, doublereal *, char *, char 
            *, char *, char *, doublereal *, integer *, doublereal *, integer 
            *, integer *, doublereal *, doublereal *, integer *, doublereal *, 
             integer *), dhsein_(char 
            *, char *, char *, logical *, integer *, doublereal *, integer *, 
            doublereal *, doublereal *, doublereal *, integer *, doublereal *, 
             integer *, integer *, integer *, doublereal *, integer *, 
            integer *, integer *);
    integer idumma[1];
    extern /* Subroutine */ int dlacpy_(char *, integer *, integer *, 
            doublereal *, integer *, doublereal *, integer *);
    integer ioldsd[4];
    extern /* Subroutine */ int dlafts_(char *, integer *, integer *, integer 
            *, integer *, doublereal *, integer *, doublereal *, integer *, 
            integer *), dlaset_(char *, integer *, integer *, 
            doublereal *, doublereal *, doublereal *, integer *), 
            dlatmr_(integer *, integer *, char *, integer *, char *, 
            doublereal *, integer *, doublereal *, doublereal *, char *, char 
            *, doublereal *, integer *, doublereal *, doublereal *, integer *, 
             doublereal *, char *, integer *, integer *, integer *, 
            doublereal *, doublereal *, char *, doublereal *, integer *, 
            integer *, integer *), dlasum_(char *, integer *, integer *, integer *),
             dhseqr_(char *, char *, integer *, integer *, integer *, 
            doublereal *, integer *, doublereal *, doublereal *, doublereal *, 
             integer *, doublereal *, integer *, integer *), 
            dlatms_(integer *, integer *, char *, integer *, char *, 
            doublereal *, integer *, doublereal *, doublereal *, integer *, 
            integer *, char *, doublereal *, integer *, doublereal *, integer 
            *), dorghr_(integer *, integer *, integer 
            *, doublereal *, integer *, doublereal *, doublereal *, integer *, 
             integer *), dtrevc_(char *, char *, logical *, integer *, 
            doublereal *, integer *, doublereal *, integer *, doublereal *, 
            integer *, integer *, integer *, doublereal *, integer *), dormhr_(char *, char *, integer *, integer *, integer *, 
            integer *, doublereal *, integer *, doublereal *, doublereal *, 
            integer *, doublereal *, integer *, integer *), 
            xerbla_(char *, integer *);
    doublereal rtunfl, rtovfl, rtulpi, ulpinv;
    integer mtypes, ntestt;

    /* Fortran I/O blocks */
    static cilist io___36 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___39 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___41 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___42 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___43 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___50 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___51 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___52 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___56 = { 0, 0, 0, fmt_9997, 0 };
    static cilist io___57 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___58 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___59 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___60 = { 0, 0, 0, fmt_9997, 0 };
    static cilist io___61 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___62 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___63 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___64 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___65 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___66 = { 0, 0, 0, fmt_9999, 0 };



/*  -- LAPACK test routine (version 3.1.1) -- */
/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/*     February 2007 */

/*     .. Scalar Arguments .. */
/*     .. */
/*     .. Array Arguments .. */
/*     .. */

/*  Purpose */
/*  ======= */

/*     DCHKHS  checks the nonsymmetric eigenvalue problem routines. */

/*             DGEHRD factors A as  U H U' , where ' means transpose, */
/*             H is hessenberg, and U is an orthogonal matrix. */

/*             DORGHR generates the orthogonal matrix U. */

/*             DORMHR multiplies a matrix by the orthogonal matrix U. */

/*             DHSEQR factors H as  Z T Z' , where Z is orthogonal and */
/*             T is "quasi-triangular", and the eigenvalue vector W. */

/*             DTREVC computes the left and right eigenvector matrices */
/*             L and R for T. */

/*             DHSEIN computes the left and right eigenvector matrices */
/*             Y and X for H, using inverse iteration. */

/*     When DCHKHS 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 nonsymmetric eigenroutines.  For each matrix, 14 */
/*     tests will be performed: */

/*     (1)     | A - U H U**T | / ( |A| n ulp ) */

/*     (2)     | I - UU**T | / ( n ulp ) */

/*     (3)     | H - Z T Z**T | / ( |H| n ulp ) */

/*     (4)     | I - ZZ**T | / ( n ulp ) */

/*     (5)     | A - UZ H (UZ)**T | / ( |A| n ulp ) */

/*     (6)     | I - UZ (UZ)**T | / ( n ulp ) */

/*     (7)     | T(Z computed) - T(Z not computed) | / ( |T| ulp ) */

/*     (8)     | W(Z computed) - W(Z not computed) | / ( |W| ulp ) */

/*     (9)     | TR - RW | / ( |T| |R| ulp ) */

/*     (10)    | L**H T - W**H L | / ( |T| |L| ulp ) */

/*     (11)    | HX - XW | / ( |H| |X| ulp ) */

/*     (12)    | Y**H H - W**H Y | / ( |H| |Y| ulp ) */

/*     (13)    | AX - XW | / ( |A| |X| ulp ) */

/*     (14)    | Y**H A - W**H Y | / ( |A| |Y| ulp ) */

/*     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 (transposed) Jordan block, with 1's on the diagonal. */

/*     (4)  A diagonal matrix with evenly spaced entries */
/*          1, ..., ULP  and random signs. */
/*          (ULP = (first number larger than 1) - 1 ) */
/*     (5)  A diagonal matrix with geometrically spaced entries */
/*          1, ..., ULP  and random signs. */
/*     (6)  A diagonal matrix with "clustered" entries 1, ULP, ..., ULP */
/*          and random signs. */

/*     (7)  Same as (4), but multiplied by SQRT( overflow threshold ) */
/*     (8)  Same as (4), but multiplied by SQRT( underflow threshold ) */

/*     (9)  A matrix of the form  U' T U, where U is orthogonal and */
/*          T has evenly spaced entries 1, ..., ULP with random signs */
/*          on the diagonal and random O(1) entries in the upper */
/*          triangle. */

/*     (10) A matrix of the form  U' T U, where U is orthogonal and */
/*          T has geometrically spaced entries 1, ..., ULP with random */
/*          signs on the diagonal and random O(1) entries in the upper */
/*          triangle. */

/*     (11) A matrix of the form  U' T U, where U is orthogonal and */
/*          T has "clustered" entries 1, ULP,..., ULP with random */
/*          signs on the diagonal and random O(1) entries in the upper */
/*          triangle. */

/*     (12) A matrix of the form  U' T U, where U is orthogonal and */
/*          T has real or complex conjugate paired eigenvalues randomly */
/*          chosen from ( ULP, 1 ) and random O(1) entries in the upper */
/*          triangle. */

/*     (13) A matrix of the form  X' T X, where X has condition */
/*          SQRT( ULP ) and T has evenly spaced entries 1, ..., ULP */
/*          with random signs on the diagonal and random O(1) entries */
/*          in the upper triangle. */

/*     (14) A matrix of the form  X' T X, where X has condition */
/*          SQRT( ULP ) and T has geometrically spaced entries */
/*          1, ..., ULP with random signs on the diagonal and random */
/*          O(1) entries in the upper triangle. */

/*     (15) A matrix of the form  X' T X, where X has condition */
/*          SQRT( ULP ) and T has "clustered" entries 1, ULP,..., ULP */
/*          with random signs on the diagonal and random O(1) entries */
/*          in the upper triangle. */

/*     (16) A matrix of the form  X' T X, where X has condition */
/*          SQRT( ULP ) and T has real or complex conjugate paired */
/*          eigenvalues randomly chosen from ( ULP, 1 ) and random */
/*          O(1) entries in the upper triangle. */

/*     (17) Same as (16), but multiplied by SQRT( overflow threshold ) */
/*     (18) Same as (16), but multiplied by SQRT( underflow threshold ) */

/*     (19) Nonsymmetric matrix with random entries chosen from (-1,1). */
/*     (20) Same as (19), but multiplied by SQRT( overflow threshold ) */
/*     (21) Same as (19), but multiplied by SQRT( underflow threshold ) */

/*  Arguments */
/*  ========== */

/*  NSIZES - INTEGER */
/*           The number of sizes of matrices to use.  If it is zero, */
/*           DCHKHS 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, DCHKHS */
/*           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 DCHKHS 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      - DOUBLE PRECISION 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, H, T1 and T2.  It must be at */
/*           least 1 and at least max( NN ). */
/*           Not modified. */

/*  H      - DOUBLE PRECISION array, dimension (LDA,max(NN)) */
/*           The upper hessenberg matrix computed by DGEHRD.  On exit, */
/*           H contains the Hessenberg form of the matrix in A. */
/*           Modified. */

/*  T1     - DOUBLE PRECISION array, dimension (LDA,max(NN)) */
/*           The Schur (="quasi-triangular") matrix computed by DHSEQR */
/*           if Z is computed.  On exit, T1 contains the Schur form of */
/*           the matrix in A. */
/*           Modified. */

/*  T2     - DOUBLE PRECISION array, dimension (LDA,max(NN)) */
/*           The Schur matrix computed by DHSEQR when Z is not computed. */
/*           This should be identical to T1. */
/*           Modified. */

/*  LDU    - INTEGER */
/*           The leading dimension of U, Z, UZ and UU.  It must be at */
/*           least 1 and at least max( NN ). */
/*           Not modified. */

/*  U      - DOUBLE PRECISION array, dimension (LDU,max(NN)) */
/*           The orthogonal matrix computed by DGEHRD. */
/*           Modified. */

/*  Z      - DOUBLE PRECISION array, dimension (LDU,max(NN)) */
/*           The orthogonal matrix computed by DHSEQR. */
/*           Modified. */

/*  UZ     - DOUBLE PRECISION array, dimension (LDU,max(NN)) */
/*           The product of U times Z. */
/*           Modified. */

/*  WR1    - DOUBLE PRECISION array, dimension (max(NN)) */
/*  WI1    - DOUBLE PRECISION array, dimension (max(NN)) */
/*           The real and imaginary parts of the eigenvalues of A, */
/*           as computed when Z is computed. */
/*           On exit, WR1 + WI1*i are the eigenvalues of the matrix in A. */
/*           Modified. */

/*  WR3    - DOUBLE PRECISION array, dimension (max(NN)) */
/*  WI3    - DOUBLE PRECISION array, dimension (max(NN)) */
/*           Like WR1, WI1, these arrays contain the eigenvalues of A, */
/*           but those computed when DHSEQR only computes the */
/*           eigenvalues, i.e., not the Schur vectors and no more of the */
/*           Schur form than is necessary for computing the */
/*           eigenvalues. */
/*           Modified. */

/*  EVECTL - DOUBLE PRECISION array, dimension (LDU,max(NN)) */
/*           The (upper triangular) left eigenvector matrix for the */
/*           matrix in T1.  For complex conjugate pairs, the real part */
/*           is stored in one row and the imaginary part in the next. */
/*           Modified. */

/*  EVEZTR - DOUBLE PRECISION array, dimension (LDU,max(NN)) */
/*           The (upper triangular) right eigenvector matrix for the */
/*           matrix in T1.  For complex conjugate pairs, the real part */
/*           is stored in one column and the imaginary part in the next. */
/*           Modified. */

/*  EVECTY - DOUBLE PRECISION array, dimension (LDU,max(NN)) */
/*           The left eigenvector matrix for the */
/*           matrix in H.  For complex conjugate pairs, the real part */
/*           is stored in one row and the imaginary part in the next. */
/*           Modified. */

/*  EVECTX - DOUBLE PRECISION array, dimension (LDU,max(NN)) */
/*           The right eigenvector matrix for the */
/*           matrix in H.  For complex conjugate pairs, the real part */
/*           is stored in one column and the imaginary part in the next. */
/*           Modified. */

/*  UU     - DOUBLE PRECISION array, dimension (LDU,max(NN)) */
/*           Details of the orthogonal matrix computed by DGEHRD. */
/*           Modified. */

/*  TAU    - DOUBLE PRECISION array, dimension(max(NN)) */
/*           Further details of the orthogonal matrix computed by DGEHRD. */
/*           Modified. */

/*  WORK   - DOUBLE PRECISION array, dimension (NWORK) */
/*           Workspace. */
/*           Modified. */

/*  NWORK  - INTEGER */
/*           The number of entries in WORK.  NWORK >= 4*NN(j)*NN(j) + 2. */

/*  IWORK  - INTEGER array, dimension (max(NN)) */
/*           Workspace. */
/*           Modified. */

/*  SELECT - LOGICAL array, dimension (max(NN)) */
/*           Workspace. */
/*           Modified. */

/*  RESULT - DOUBLE PRECISION array, dimension (14) */
/*           The values computed by the fourteen 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 */
/*            -6: THRESH < 0 */
/*            -9: LDA < 1 or LDA < NMAX, where NMAX is max( NN(j) ). */
/*           -14: LDU < 1 or LDU < NMAX. */
/*           -28: NWORK too small. */
/*           If  DLATMR, SLATMS, or SLATME returns an error code, the */
/*               absolute value of it is returned. */
/*           If 1, then DHSEQR could not find all the shifts. */
/*           If 2, then the EISPACK code (for small blocks) failed. */
/*           If >2, then 30*N iterations were not enough to find an */
/*               eigenvalue or to decompose the problem. */
/*           Modified. */

/* ----------------------------------------------------------------------- */

/*     Some Local Variables and Parameters: */
/*     ---- ----- --------- --- ---------- */

/*     ZERO, ONE       Real 0 and 1. */
/*     MAXTYP          The number of types defined. */
/*     MTEST           The number of tests defined: care must be taken */
/*                     that (1) the size of RESULT, (2) the number of */
/*                     tests actually performed, and (3) MTEST agree. */
/*     NTEST           The number of tests performed on this matrix */
/*                     so far.  This should be less than MTEST, and */
/*                     equal to it by the last test.  It will be less */
/*                     if any of the routines being tested indicates */
/*                     that it could not compute the matrices that */
/*                     would be tested. */
/*     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, CONDS, */
/*     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, */
/*     RTULP, RTULPI   Square roots of the previous 4 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) ) */
/*     KCONDS(j)       Selects whether CONDS is to be 1 or */
/*                     1/sqrt(ulp).  (0 means irrelevant.) */

/*  ===================================================================== */

/*     .. Parameters .. */
/*     .. */
/*     .. Local Scalars .. */
/*     .. */
/*     .. Local Arrays .. */
/*     .. */
/*     .. External Functions .. */
/*     .. */
/*     .. External Subroutines .. */
/*     .. */
/*     .. Intrinsic Functions .. */
/*     .. */
/*     .. Data statements .. */
    /* Parameter adjustments */
    --nn;
    --dotype;
    --iseed;
    t2_dim1 = *lda;
    t2_offset = 1 + t2_dim1;
    t2 -= t2_offset;
    t1_dim1 = *lda;
    t1_offset = 1 + t1_dim1;
    t1 -= t1_offset;
    h_dim1 = *lda;
    h_offset = 1 + h_dim1;
    h__ -= h_offset;
    a_dim1 = *lda;
    a_offset = 1 + a_dim1;
    a -= a_offset;
    uu_dim1 = *ldu;
    uu_offset = 1 + uu_dim1;
    uu -= uu_offset;
    evectx_dim1 = *ldu;
    evectx_offset = 1 + evectx_dim1;
    evectx -= evectx_offset;
    evecty_dim1 = *ldu;
    evecty_offset = 1 + evecty_dim1;
    evecty -= evecty_offset;
    evectr_dim1 = *ldu;
    evectr_offset = 1 + evectr_dim1;
    evectr -= evectr_offset;
    evectl_dim1 = *ldu;
    evectl_offset = 1 + evectl_dim1;
    evectl -= evectl_offset;
    uz_dim1 = *ldu;
    uz_offset = 1 + uz_dim1;
    uz -= uz_offset;
    z_dim1 = *ldu;
    z_offset = 1 + z_dim1;
    z__ -= z_offset;
    u_dim1 = *ldu;
    u_offset = 1 + u_dim1;
    u -= u_offset;
    --wr1;
    --wi1;
    --wr3;
    --wi3;
    --tau;
    --work;
    --iwork;
    --select;
    --result;

    /* Function Body */
/*     .. */
/*     .. Executable Statements .. */

/*     Check for errors */

    ntestt = 0;
    *info = 0;

    badnn = FALSE_;
    nmax = 0;
    i__1 = *nsizes;
    for (j = 1; j <= i__1; ++j) {
/* Computing MAX */
        i__2 = nmax, i__3 = nn[j];
        nmax = max(i__2,i__3);
        if (nn[j] < 0) {
            badnn = TRUE_;
        }
/* L10: */
    }

/*     Check for errors */

    if (*nsizes < 0) {
        *info = -1;
    } else if (badnn) {
        *info = -2;
    } else if (*ntypes < 0) {
        *info = -3;
    } else if (*thresh < 0.) {
        *info = -6;
    } else if (*lda <= 1 || *lda < nmax) {
        *info = -9;
    } else if (*ldu <= 1 || *ldu < nmax) {
        *info = -14;
    } else if ((nmax << 2) * nmax + 2 > *nwork) {
        *info = -28;
    }

    if (*info != 0) {
        i__1 = -(*info);
        xerbla_("DCHKHS", &i__1);
        return 0;
    }

/*     Quick return if possible */

    if (*nsizes == 0 || *ntypes == 0) {
        return 0;
    }

/*     More important constants */

    unfl = dlamch_("Safe minimum");
    ovfl = dlamch_("Overflow");
    dlabad_(&unfl, &ovfl);
    ulp = dlamch_("Epsilon") * dlamch_("Base");
    ulpinv = 1. / ulp;
    rtunfl = sqrt(unfl);
    rtovfl = sqrt(ovfl);
    rtulp = sqrt(ulp);
    rtulpi = 1. / rtulp;

/*     Loop over sizes, types */

    nerrs = 0;
    nmats = 0;

    i__1 = *nsizes;
    for (jsize = 1; jsize <= i__1; ++jsize) {
        n = nn[jsize];
        if (n == 0) {
            goto L270;
        }
        n1 = max(1,n);
        aninv = 1. / (doublereal) n1;

        if (*nsizes != 1) {
            mtypes = min(21,*ntypes);
        } else {
            mtypes = min(22,*ntypes);
        }

        i__2 = mtypes;
        for (jtype = 1; jtype <= i__2; ++jtype) {
            if (! dotype[jtype]) {
                goto L260;
            }
            ++nmats;
            ntest = 0;

/*           Save ISEED in case of an error. */

            for (j = 1; j <= 4; ++j) {
                ioldsd[j - 1] = iseed[j];
/* L20: */
            }

/*           Initialize RESULT */

            for (j = 1; j <= 14; ++j) {
                result[j] = 0.;
/* L30: */
            }

/*           Compute "A" */

/*           Control parameters: */

/*           KMAGN  KCONDS  KMODE        KTYPE */
/*       =1  O(1)   1       clustered 1  zero */
/*       =2  large  large   clustered 2  identity */
/*       =3  small          exponential  Jordan */
/*       =4                 arithmetic   diagonal, (w/ eigenvalues) */
/*       =5                 random log   symmetric, w/ eigenvalues */
/*       =6                 random       general, w/ eigenvalues */
/*       =7                              random diagonal */
/*       =8                              random symmetric */
/*       =9                              random general */
/*       =10                             random triangular */

            if (mtypes > 21) {
                goto L100;
            }

            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:

            dlaset_("Full", lda, &n, &c_b18, &c_b18, &a[a_offset], lda);
            iinfo = 0;
            cond = ulpinv;

/*           Special Matrices */

            if (itype == 1) {

/*              Zero */

                iinfo = 0;

            } else if (itype == 2) {

/*              Identity */

                i__3 = n;
                for (jcol = 1; jcol <= i__3; ++jcol) {
                    a[jcol + jcol * a_dim1] = anorm;
/* L80: */
                }

            } else if (itype == 3) {

/*              Jordan Block */

                i__3 = n;
                for (jcol = 1; jcol <= i__3; ++jcol) {
                    a[jcol + jcol * a_dim1] = anorm;
                    if (jcol > 1) {
                        a[jcol + (jcol - 1) * a_dim1] = 1.;
                    }
/* L90: */
                }

            } else if (itype == 4) {

/*              Diagonal Matrix, [Eigen]values Specified */

                dlatms_(&n, &n, "S", &iseed[1], "S", &work[1], &imode, &cond, 
                        &anorm, &c__0, &c__0, "N", &a[a_offset], lda, &work[n 
                        + 1], &iinfo);

            } else if (itype == 5) {

/*              Symmetric, eigenvalues specified */

                dlatms_(&n, &n, "S", &iseed[1], "S", &work[1], &imode, &cond, 
                        &anorm, &n, &n, "N", &a[a_offset], lda, &work[n + 1], 
                        &iinfo);

            } else if (itype == 6) {

/*              General, eigenvalues specified */

                if (kconds[jtype - 1] == 1) {
                    conds = 1.;
                } else if (kconds[jtype - 1] == 2) {
                    conds = rtulpi;
                } else {
                    conds = 0.;
                }

                *(unsigned char *)&adumma[0] = ' ';
                dlatme_(&n, "S", &iseed[1], &work[1], &imode, &cond, &c_b32, 
                        adumma, "T", "T", "T", &work[n + 1], &c__4, &conds, &
                        n, &n, &anorm, &a[a_offset], lda, &work[(n << 1) + 1], 
                         &iinfo);

            } else if (itype == 7) {

/*              Diagonal, random eigenvalues */

                dlatmr_(&n, &n, "S", &iseed[1], "S", &work[1], &c__6, &c_b32, 
                        &c_b32, "T", "N", &work[n + 1], &c__1, &c_b32, &work[(
                        n << 1) + 1], &c__1, &c_b32, "N", idumma, &c__0, &
                        c__0, &c_b18, &anorm, "NO", &a[a_offset], lda, &iwork[
                        1], &iinfo);

            } else if (itype == 8) {

/*              Symmetric, random eigenvalues */

                dlatmr_(&n, &n, "S", &iseed[1], "S", &work[1], &c__6, &c_b32, 
                        &c_b32, "T", "N", &work[n + 1], &c__1, &c_b32, &work[(
                        n << 1) + 1], &c__1, &c_b32, "N", idumma, &n, &n, &
                        c_b18, &anorm, "NO", &a[a_offset], lda, &iwork[1], &
                        iinfo);

            } else if (itype == 9) {

/*              General, random eigenvalues */

                dlatmr_(&n, &n, "S", &iseed[1], "N", &work[1], &c__6, &c_b32, 
                        &c_b32, "T", "N", &work[n + 1], &c__1, &c_b32, &work[(
                        n << 1) + 1], &c__1, &c_b32, "N", idumma, &n, &n, &
                        c_b18, &anorm, "NO", &a[a_offset], lda, &iwork[1], &
                        iinfo);

            } else if (itype == 10) {

/*              Triangular, random eigenvalues */

                dlatmr_(&n, &n, "S", &iseed[1], "N", &work[1], &c__6, &c_b32, 
                        &c_b32, "T", "N", &work[n + 1], &c__1, &c_b32, &work[(
                        n << 1) + 1], &c__1, &c_b32, "N", idumma, &n, &c__0, &
                        c_b18, &anorm, "NO", &a[a_offset], lda, &iwork[1], &
                        iinfo);

            } else {

                iinfo = 1;
            }

            if (iinfo != 0) {
                io___36.ciunit = *nounit;
                s_wsfe(&io___36);
                do_fio(&c__1, "Generator", (ftnlen)9);
                do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
                do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
                e_wsfe();
                *info = abs(iinfo);
                return 0;
            }

L100:

/*           Call DGEHRD to compute H and U, do tests. */

            dlacpy_(" ", &n, &n, &a[a_offset], lda, &h__[h_offset], lda);

            ntest = 1;

            ilo = 1;
            ihi = n;

            i__3 = *nwork - n;
            dgehrd_(&n, &ilo, &ihi, &h__[h_offset], lda, &work[1], &work[n + 
                    1], &i__3, &iinfo);

            if (iinfo != 0) {
                result[1] = ulpinv;
                io___39.ciunit = *nounit;
                s_wsfe(&io___39);
                do_fio(&c__1, "DGEHRD", (ftnlen)6);
                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);
                goto L250;
            }

            i__3 = n - 1;
            for (j = 1; j <= i__3; ++j) {
                uu[j + 1 + j * uu_dim1] = 0.;
                i__4 = n;
                for (i__ = j + 2; i__ <= i__4; ++i__) {
                    u[i__ + j * u_dim1] = h__[i__ + j * h_dim1];
                    uu[i__ + j * uu_dim1] = h__[i__ + j * h_dim1];
                    h__[i__ + j * h_dim1] = 0.;
/* L110: */
                }
/* L120: */
            }
            i__3 = n - 1;
            dcopy_(&i__3, &work[1], &c__1, &tau[1], &c__1);
            i__3 = *nwork - n;
            dorghr_(&n, &ilo, &ihi, &u[u_offset], ldu, &work[1], &work[n + 1], 
                     &i__3, &iinfo);
            ntest = 2;

            dhst01_(&n, &ilo, &ihi, &a[a_offset], lda, &h__[h_offset], lda, &
                    u[u_offset], ldu, &work[1], nwork, &result[1]);

/*           Call DHSEQR to compute T1, T2 and Z, do tests. */

/*           Eigenvalues only (WR3,WI3) */

            dlacpy_(" ", &n, &n, &h__[h_offset], lda, &t2[t2_offset], lda);
            ntest = 3;
            result[3] = ulpinv;

            dhseqr_("E", "N", &n, &ilo, &ihi, &t2[t2_offset], lda, &wr3[1], &
                    wi3[1], &uz[uz_offset], ldu, &work[1], nwork, &iinfo);
            if (iinfo != 0) {
                io___41.ciunit = *nounit;
                s_wsfe(&io___41);
                do_fio(&c__1, "DHSEQR(E)", (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();
                if (iinfo <= n + 2) {
                    *info = abs(iinfo);
                    goto L250;
                }
            }

/*           Eigenvalues (WR1,WI1) and Full Schur Form (T2) */

            dlacpy_(" ", &n, &n, &h__[h_offset], lda, &t2[t2_offset], lda);

            dhseqr_("S", "N", &n, &ilo, &ihi, &t2[t2_offset], lda, &wr1[1], &
                    wi1[1], &uz[uz_offset], ldu, &work[1], nwork, &iinfo);
            if (iinfo != 0 && iinfo <= n + 2) {
                io___42.ciunit = *nounit;
                s_wsfe(&io___42);
                do_fio(&c__1, "DHSEQR(S)", (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);
                goto L250;
            }

/*           Eigenvalues (WR1,WI1), Schur Form (T1), and Schur vectors */
/*           (UZ) */

            dlacpy_(" ", &n, &n, &h__[h_offset], lda, &t1[t1_offset], lda);
            dlacpy_(" ", &n, &n, &u[u_offset], ldu, &uz[uz_offset], lda);

            dhseqr_("S", "V", &n, &ilo, &ihi, &t1[t1_offset], lda, &wr1[1], &
                    wi1[1], &uz[uz_offset], ldu, &work[1], nwork, &iinfo);
            if (iinfo != 0 && iinfo <= n + 2) {
                io___43.ciunit = *nounit;
                s_wsfe(&io___43);
                do_fio(&c__1, "DHSEQR(V)", (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);
                goto L250;
            }

/*           Compute Z = U' UZ */

            dgemm_("T", "N", &n, &n, &n, &c_b32, &u[u_offset], ldu, &uz[
                    uz_offset], ldu, &c_b18, &z__[z_offset], ldu);
            ntest = 8;

/*           Do Tests 3: | H - Z T Z' | / ( |H| n ulp ) */
/*                and 4: | I - Z Z' | / ( n ulp ) */

            dhst01_(&n, &ilo, &ihi, &h__[h_offset], lda, &t1[t1_offset], lda, 
                    &z__[z_offset], ldu, &work[1], nwork, &result[3]);

/*           Do Tests 5: | A - UZ T (UZ)' | / ( |A| n ulp ) */
/*                and 6: | I - UZ (UZ)' | / ( n ulp ) */

            dhst01_(&n, &ilo, &ihi, &a[a_offset], lda, &t1[t1_offset], lda, &
                    uz[uz_offset], ldu, &work[1], nwork, &result[5]);

/*           Do Test 7: | T2 - T1 | / ( |T| n ulp ) */

            dget10_(&n, &n, &t2[t2_offset], lda, &t1[t1_offset], lda, &work[1]
, &result[7]);

/*           Do Test 8: | W3 - W1 | / ( max(|W1|,|W3|) ulp ) */

            temp1 = 0.;
            temp2 = 0.;
            i__3 = n;
            for (j = 1; j <= i__3; ++j) {
/* Computing MAX */
                d__5 = temp1, d__6 = (d__1 = wr1[j], abs(d__1)) + (d__2 = wi1[
                        j], abs(d__2)), d__5 = max(d__5,d__6), d__6 = (d__3 = 
                        wr3[j], abs(d__3)) + (d__4 = wi3[j], abs(d__4));
                temp1 = max(d__5,d__6);
/* Computing MAX */
                d__3 = temp2, d__4 = (d__1 = wr1[j] - wr3[j], abs(d__1)) + (
                        d__2 = wr1[j] - wr3[j], abs(d__2));
                temp2 = max(d__3,d__4);
/* L130: */
            }

/* Computing MAX */
            d__1 = unfl, d__2 = ulp * max(temp1,temp2);
            result[8] = temp2 / max(d__1,d__2);

/*           Compute the Left and Right Eigenvectors of T */

/*           Compute the Right eigenvector Matrix: */

            ntest = 9;
            result[9] = ulpinv;

/*           Select last max(N/4,1) real, max(N/4,1) complex eigenvectors */

            nselc = 0;
            nselr = 0;
            j = n;
L140:
            if (wi1[j] == 0.) {
/* Computing MAX */
                i__3 = n / 4;
                if (nselr < max(i__3,1)) {
                    ++nselr;
                    select[j] = TRUE_;
                } else {
                    select[j] = FALSE_;
                }
                --j;
            } else {
/* Computing MAX */
                i__3 = n / 4;
                if (nselc < max(i__3,1)) {
                    ++nselc;
                    select[j] = TRUE_;
                    select[j - 1] = FALSE_;
                } else {
                    select[j] = FALSE_;
                    select[j - 1] = FALSE_;
                }
                j += -2;
            }
            if (j > 0) {
                goto L140;
            }

            dtrevc_("Right", "All", &select[1], &n, &t1[t1_offset], lda, 
                    dumma, ldu, &evectr[evectr_offset], ldu, &n, &in, &work[1]
, &iinfo);
            if (iinfo != 0) {
                io___50.ciunit = *nounit;
                s_wsfe(&io___50);
                do_fio(&c__1, "DTREVC(R,A)", (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);
                goto L250;
            }

/*           Test 9:  | TR - RW | / ( |T| |R| ulp ) */

            dget22_("N", "N", "N", &n, &t1[t1_offset], lda, &evectr[
                    evectr_offset], ldu, &wr1[1], &wi1[1], &work[1], dumma);
            result[9] = dumma[0];
            if (dumma[1] > *thresh) {
                io___51.ciunit = *nounit;
                s_wsfe(&io___51);
                do_fio(&c__1, "Right", (ftnlen)5);
                do_fio(&c__1, "DTREVC", (ftnlen)6);
                do_fio(&c__1, (char *)&dumma[1], (ftnlen)sizeof(doublereal));
                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();
            }

/*           Compute selected right eigenvectors and confirm that */
/*           they agree with previous right eigenvectors */

            dtrevc_("Right", "Some", &select[1], &n, &t1[t1_offset], lda, 
                    dumma, ldu, &evectl[evectl_offset], ldu, &n, &in, &work[1]
, &iinfo);
            if (iinfo != 0) {
                io___52.ciunit = *nounit;
                s_wsfe(&io___52);
                do_fio(&c__1, "DTREVC(R,S)", (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);
                goto L250;
            }

            k = 1;
            match = TRUE_;
            i__3 = n;
            for (j = 1; j <= i__3; ++j) {
                if (select[j] && wi1[j] == 0.) {
                    i__4 = n;
                    for (jj = 1; jj <= i__4; ++jj) {
                        if (evectr[jj + j * evectr_dim1] != evectl[jj + k * 
                                evectl_dim1]) {
                            match = FALSE_;
                            goto L180;
                        }
/* L150: */
                    }
                    ++k;
                } else if (select[j] && wi1[j] != 0.) {
                    i__4 = n;
                    for (jj = 1; jj <= i__4; ++jj) {
                        if (evectr[jj + j * evectr_dim1] != evectl[jj + k * 
                                evectl_dim1] || evectr[jj + (j + 1) * 
                                evectr_dim1] != evectl[jj + (k + 1) * 
                                evectl_dim1]) {
                            match = FALSE_;
                            goto L180;
                        }
/* L160: */
                    }
                    k += 2;
                }
/* L170: */
            }
L180:
            if (! match) {
                io___56.ciunit = *nounit;
                s_wsfe(&io___56);
                do_fio(&c__1, "Right", (ftnlen)5);
                do_fio(&c__1, "DTREVC", (ftnlen)6);
                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();
            }

/*           Compute the Left eigenvector Matrix: */

            ntest = 10;
            result[10] = ulpinv;
            dtrevc_("Left", "All", &select[1], &n, &t1[t1_offset], lda, &
                    evectl[evectl_offset], ldu, dumma, ldu, &n, &in, &work[1], 
                     &iinfo);
            if (iinfo != 0) {
                io___57.ciunit = *nounit;
                s_wsfe(&io___57);
                do_fio(&c__1, "DTREVC(L,A)", (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);
                goto L250;
            }

/*           Test 10:  | LT - WL | / ( |T| |L| ulp ) */

            dget22_("Trans", "N", "Conj", &n, &t1[t1_offset], lda, &evectl[
                    evectl_offset], ldu, &wr1[1], &wi1[1], &work[1], &dumma[2]
);
            result[10] = dumma[2];
            if (dumma[3] > *thresh) {
                io___58.ciunit = *nounit;
                s_wsfe(&io___58);
                do_fio(&c__1, "Left", (ftnlen)4);
                do_fio(&c__1, "DTREVC", (ftnlen)6);
                do_fio(&c__1, (char *)&dumma[3], (ftnlen)sizeof(doublereal));
                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();
            }

/*           Compute selected left eigenvectors and confirm that */
/*           they agree with previous left eigenvectors */

            dtrevc_("Left", "Some", &select[1], &n, &t1[t1_offset], lda, &
                    evectr[evectr_offset], ldu, dumma, ldu, &n, &in, &work[1], 
                     &iinfo);
            if (iinfo != 0) {
                io___59.ciunit = *nounit;
                s_wsfe(&io___59);
                do_fio(&c__1, "DTREVC(L,S)", (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);
                goto L250;
            }

            k = 1;
            match = TRUE_;
            i__3 = n;
            for (j = 1; j <= i__3; ++j) {
                if (select[j] && wi1[j] == 0.) {
                    i__4 = n;
                    for (jj = 1; jj <= i__4; ++jj) {
                        if (evectl[jj + j * evectl_dim1] != evectr[jj + k * 
                                evectr_dim1]) {
                            match = FALSE_;
                            goto L220;
                        }
/* L190: */
                    }
                    ++k;
                } else if (select[j] && wi1[j] != 0.) {
                    i__4 = n;
                    for (jj = 1; jj <= i__4; ++jj) {
                        if (evectl[jj + j * evectl_dim1] != evectr[jj + k * 
                                evectr_dim1] || evectl[jj + (j + 1) * 
                                evectl_dim1] != evectr[jj + (k + 1) * 
                                evectr_dim1]) {
                            match = FALSE_;
                            goto L220;
                        }
/* L200: */
                    }
                    k += 2;
                }
/* L210: */
            }
L220:
            if (! match) {
                io___60.ciunit = *nounit;
                s_wsfe(&io___60);
                do_fio(&c__1, "Left", (ftnlen)4);
                do_fio(&c__1, "DTREVC", (ftnlen)6);
                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();
            }

/*           Call DHSEIN for Right eigenvectors of H, do test 11 */

            ntest = 11;
            result[11] = ulpinv;
            i__3 = n;
            for (j = 1; j <= i__3; ++j) {
                select[j] = TRUE_;
/* L230: */
            }

            dhsein_("Right", "Qr", "Ninitv", &select[1], &n, &h__[h_offset], 
                    lda, &wr3[1], &wi3[1], dumma, ldu, &evectx[evectx_offset], 
                     ldu, &n1, &in, &work[1], &iwork[1], &iwork[1], &iinfo);
            if (iinfo != 0) {
                io___61.ciunit = *nounit;
                s_wsfe(&io___61);
                do_fio(&c__1, "DHSEIN(R)", (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);
                if (iinfo < 0) {
                    goto L250;
                }
            } else {

/*              Test 11:  | HX - XW | / ( |H| |X| ulp ) */

/*                        (from inverse iteration) */

                dget22_("N", "N", "N", &n, &h__[h_offset], lda, &evectx[
                        evectx_offset], ldu, &wr3[1], &wi3[1], &work[1], 
                        dumma);
                if (dumma[0] < ulpinv) {
                    result[11] = dumma[0] * aninv;
                }
                if (dumma[1] > *thresh) {
                    io___62.ciunit = *nounit;
                    s_wsfe(&io___62);
                    do_fio(&c__1, "Right", (ftnlen)5);
                    do_fio(&c__1, "DHSEIN", (ftnlen)6);
                    do_fio(&c__1, (char *)&dumma[1], (ftnlen)sizeof(
                            doublereal));
                    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();
                }
            }

/*           Call DHSEIN for Left eigenvectors of H, do test 12 */

            ntest = 12;
            result[12] = ulpinv;
            i__3 = n;
            for (j = 1; j <= i__3; ++j) {
                select[j] = TRUE_;
/* L240: */
            }

            dhsein_("Left", "Qr", "Ninitv", &select[1], &n, &h__[h_offset], 
                    lda, &wr3[1], &wi3[1], &evecty[evecty_offset], ldu, dumma, 
                     ldu, &n1, &in, &work[1], &iwork[1], &iwork[1], &iinfo);
            if (iinfo != 0) {
                io___63.ciunit = *nounit;
                s_wsfe(&io___63);
                do_fio(&c__1, "DHSEIN(L)", (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);
                if (iinfo < 0) {
                    goto L250;
                }
            } else {

/*              Test 12:  | YH - WY | / ( |H| |Y| ulp ) */

/*                        (from inverse iteration) */

                dget22_("C", "N", "C", &n, &h__[h_offset], lda, &evecty[
                        evecty_offset], ldu, &wr3[1], &wi3[1], &work[1], &
                        dumma[2]);
                if (dumma[2] < ulpinv) {
                    result[12] = dumma[2] * aninv;
                }
                if (dumma[3] > *thresh) {
                    io___64.ciunit = *nounit;
                    s_wsfe(&io___64);
                    do_fio(&c__1, "Left", (ftnlen)4);
                    do_fio(&c__1, "DHSEIN", (ftnlen)6);
                    do_fio(&c__1, (char *)&dumma[3], (ftnlen)sizeof(
                            doublereal));
                    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();
                }
            }

/*           Call DORMHR for Right eigenvectors of A, do test 13 */

            ntest = 13;
            result[13] = ulpinv;

            dormhr_("Left", "No transpose", &n, &n, &ilo, &ihi, &uu[uu_offset]
, ldu, &tau[1], &evectx[evectx_offset], ldu, &work[1], 
                    nwork, &iinfo);
            if (iinfo != 0) {
                io___65.ciunit = *nounit;
                s_wsfe(&io___65);
                do_fio(&c__1, "DORMHR(R)", (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);
                if (iinfo < 0) {
                    goto L250;
                }
            } else {

/*              Test 13:  | AX - XW | / ( |A| |X| ulp ) */

/*                        (from inverse iteration) */

                dget22_("N", "N", "N", &n, &a[a_offset], lda, &evectx[
                        evectx_offset], ldu, &wr3[1], &wi3[1], &work[1], 
                        dumma);
                if (dumma[0] < ulpinv) {
                    result[13] = dumma[0] * aninv;
                }
            }

/*           Call DORMHR for Left eigenvectors of A, do test 14 */

            ntest = 14;
            result[14] = ulpinv;

            dormhr_("Left", "No transpose", &n, &n, &ilo, &ihi, &uu[uu_offset]
, ldu, &tau[1], &evecty[evecty_offset], ldu, &work[1], 
                    nwork, &iinfo);
            if (iinfo != 0) {
                io___66.ciunit = *nounit;
                s_wsfe(&io___66);
                do_fio(&c__1, "DORMHR(L)", (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);
                if (iinfo < 0) {
                    goto L250;
                }
            } else {

/*              Test 14:  | YA - WY | / ( |A| |Y| ulp ) */

/*                        (from inverse iteration) */

                dget22_("C", "N", "C", &n, &a[a_offset], lda, &evecty[
                        evecty_offset], ldu, &wr3[1], &wi3[1], &work[1], &
                        dumma[2]);
                if (dumma[2] < ulpinv) {
                    result[14] = dumma[2] * aninv;
                }
            }

/*           End of Loop -- Check for RESULT(j) > THRESH */

L250:

            ntestt += ntest;
            dlafts_("DHS", &n, &n, &jtype, &ntest, &result[1], ioldsd, thresh, 
                     nounit, &nerrs);

L260:
            ;
        }
L270:
        ;
    }

/*     Summary */

    dlasum_("DHS", nounit, &nerrs, &ntestt);

    return 0;


/*     End of DCHKHS */

} /* dchkhs_ */