LAPACK  3.4.2 LAPACK: Linear Algebra PACKage
zdrvst.f
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1 *> \brief \b ZDRVST
2 *
3 * =========== DOCUMENTATION ===========
4 *
5 * Online html documentation available at
6 * http://www.netlib.org/lapack/explore-html/
7 *
8 * Definition:
9 * ===========
10 *
11 * SUBROUTINE ZDRVST( NSIZES, NN, NTYPES, DOTYPE, ISEED, THRESH,
12 * NOUNIT, A, LDA, D1, D2, D3, WA1, WA2, WA3, U,
13 * LDU, V, TAU, Z, WORK, LWORK, RWORK, LRWORK,
14 * IWORK, LIWORK, RESULT, INFO )
15 *
16 * .. Scalar Arguments ..
17 * INTEGER INFO, LDA, LDU, LIWORK, LRWORK, LWORK, NOUNIT,
18 * \$ NSIZES, NTYPES
19 * DOUBLE PRECISION THRESH
20 * ..
21 * .. Array Arguments ..
22 * LOGICAL DOTYPE( * )
23 * INTEGER ISEED( 4 ), IWORK( * ), NN( * )
24 * DOUBLE PRECISION D1( * ), D2( * ), D3( * ), RESULT( * ),
25 * \$ RWORK( * ), WA1( * ), WA2( * ), WA3( * )
26 * COMPLEX*16 A( LDA, * ), TAU( * ), U( LDU, * ),
27 * \$ V( LDU, * ), WORK( * ), Z( LDU, * )
28 * ..
29 *
30 *
31 *> \par Purpose:
32 * =============
33 *>
34 *> \verbatim
35 *>
36 *> ZDRVST checks the Hermitian eigenvalue problem drivers.
37 *>
38 *> ZHEEVD computes all eigenvalues and, optionally,
39 *> eigenvectors of a complex Hermitian matrix,
40 *> using a divide-and-conquer algorithm.
41 *>
42 *> ZHEEVX computes selected eigenvalues and, optionally,
43 *> eigenvectors of a complex Hermitian matrix.
44 *>
45 *> ZHEEVR computes selected eigenvalues and, optionally,
46 *> eigenvectors of a complex Hermitian matrix
47 *> using the Relatively Robust Representation where it can.
48 *>
49 *> ZHPEVD computes all eigenvalues and, optionally,
50 *> eigenvectors of a complex Hermitian matrix in packed
51 *> storage, using a divide-and-conquer algorithm.
52 *>
53 *> ZHPEVX computes selected eigenvalues and, optionally,
54 *> eigenvectors of a complex Hermitian matrix in packed
55 *> storage.
56 *>
57 *> ZHBEVD computes all eigenvalues and, optionally,
58 *> eigenvectors of a complex Hermitian band matrix,
59 *> using a divide-and-conquer algorithm.
60 *>
61 *> ZHBEVX computes selected eigenvalues and, optionally,
62 *> eigenvectors of a complex Hermitian band matrix.
63 *>
64 *> ZHEEV computes all eigenvalues and, optionally,
65 *> eigenvectors of a complex Hermitian matrix.
66 *>
67 *> ZHPEV computes all eigenvalues and, optionally,
68 *> eigenvectors of a complex Hermitian matrix in packed
69 *> storage.
70 *>
71 *> ZHBEV computes all eigenvalues and, optionally,
72 *> eigenvectors of a complex Hermitian band matrix.
73 *>
74 *> When ZDRVST is called, a number of matrix "sizes" ("n's") and a
75 *> number of matrix "types" are specified. For each size ("n")
76 *> and each type of matrix, one matrix will be generated and used
77 *> to test the appropriate drivers. For each matrix and each
78 *> driver routine called, the following tests will be performed:
79 *>
80 *> (1) | A - Z D Z' | / ( |A| n ulp )
81 *>
82 *> (2) | I - Z Z' | / ( n ulp )
83 *>
84 *> (3) | D1 - D2 | / ( |D1| ulp )
85 *>
86 *> where Z is the matrix of eigenvectors returned when the
87 *> eigenvector option is given and D1 and D2 are the eigenvalues
88 *> returned with and without the eigenvector option.
89 *>
90 *> The "sizes" are specified by an array NN(1:NSIZES); the value of
91 *> each element NN(j) specifies one size.
92 *> The "types" are specified by a logical array DOTYPE( 1:NTYPES );
93 *> if DOTYPE(j) is .TRUE., then matrix type "j" will be generated.
94 *> Currently, the list of possible types is:
95 *>
96 *> (1) The zero matrix.
97 *> (2) The identity matrix.
98 *>
99 *> (3) A diagonal matrix with evenly spaced entries
100 *> 1, ..., ULP and random signs.
101 *> (ULP = (first number larger than 1) - 1 )
102 *> (4) A diagonal matrix with geometrically spaced entries
103 *> 1, ..., ULP and random signs.
104 *> (5) A diagonal matrix with "clustered" entries 1, ULP, ..., ULP
105 *> and random signs.
106 *>
107 *> (6) Same as (4), but multiplied by SQRT( overflow threshold )
108 *> (7) Same as (4), but multiplied by SQRT( underflow threshold )
109 *>
110 *> (8) A matrix of the form U* D U, where U is unitary and
111 *> D has evenly spaced entries 1, ..., ULP with random signs
112 *> on the diagonal.
113 *>
114 *> (9) A matrix of the form U* D U, where U is unitary and
115 *> D has geometrically spaced entries 1, ..., ULP with random
116 *> signs on the diagonal.
117 *>
118 *> (10) A matrix of the form U* D U, where U is unitary and
119 *> D has "clustered" entries 1, ULP,..., ULP with random
120 *> signs on the diagonal.
121 *>
122 *> (11) Same as (8), but multiplied by SQRT( overflow threshold )
123 *> (12) Same as (8), but multiplied by SQRT( underflow threshold )
124 *>
125 *> (13) Symmetric matrix with random entries chosen from (-1,1).
126 *> (14) Same as (13), but multiplied by SQRT( overflow threshold )
127 *> (15) Same as (13), but multiplied by SQRT( underflow threshold )
128 *> (16) A band matrix with half bandwidth randomly chosen between
129 *> 0 and N-1, with evenly spaced eigenvalues 1, ..., ULP
130 *> with random signs.
131 *> (17) Same as (16), but multiplied by SQRT( overflow threshold )
132 *> (18) Same as (16), but multiplied by SQRT( underflow threshold )
133 *> \endverbatim
134 *
135 * Arguments:
136 * ==========
137 *
138 *> \verbatim
139 *> NSIZES INTEGER
140 *> The number of sizes of matrices to use. If it is zero,
141 *> ZDRVST does nothing. It must be at least zero.
142 *> Not modified.
143 *>
144 *> NN INTEGER array, dimension (NSIZES)
145 *> An array containing the sizes to be used for the matrices.
146 *> Zero values will be skipped. The values must be at least
147 *> zero.
148 *> Not modified.
149 *>
150 *> NTYPES INTEGER
151 *> The number of elements in DOTYPE. If it is zero, ZDRVST
152 *> does nothing. It must be at least zero. If it is MAXTYP+1
153 *> and NSIZES is 1, then an additional type, MAXTYP+1 is
154 *> defined, which is to use whatever matrix is in A. This
155 *> is only useful if DOTYPE(1:MAXTYP) is .FALSE. and
156 *> DOTYPE(MAXTYP+1) is .TRUE. .
157 *> Not modified.
158 *>
159 *> DOTYPE LOGICAL array, dimension (NTYPES)
160 *> If DOTYPE(j) is .TRUE., then for each size in NN a
161 *> matrix of that size and of type j will be generated.
162 *> If NTYPES is smaller than the maximum number of types
163 *> defined (PARAMETER MAXTYP), then types NTYPES+1 through
164 *> MAXTYP will not be generated. If NTYPES is larger
165 *> than MAXTYP, DOTYPE(MAXTYP+1) through DOTYPE(NTYPES)
166 *> will be ignored.
167 *> Not modified.
168 *>
169 *> ISEED INTEGER array, dimension (4)
170 *> On entry ISEED specifies the seed of the random number
171 *> generator. The array elements should be between 0 and 4095;
172 *> if not they will be reduced mod 4096. Also, ISEED(4) must
173 *> be odd. The random number generator uses a linear
174 *> congruential sequence limited to small integers, and so
175 *> should produce machine independent random numbers. The
176 *> values of ISEED are changed on exit, and can be used in the
177 *> next call to ZDRVST to continue the same random number
178 *> sequence.
179 *> Modified.
180 *>
181 *> THRESH DOUBLE PRECISION
182 *> A test will count as "failed" if the "error", computed as
183 *> described above, exceeds THRESH. Note that the error
184 *> is scaled to be O(1), so THRESH should be a reasonably
185 *> small multiple of 1, e.g., 10 or 100. In particular,
186 *> it should not depend on the precision (single vs. double)
187 *> or the size of the matrix. It must be at least zero.
188 *> Not modified.
189 *>
190 *> NOUNIT INTEGER
191 *> The FORTRAN unit number for printing out error messages
192 *> (e.g., if a routine returns IINFO not equal to 0.)
193 *> Not modified.
194 *>
195 *> A COMPLEX*16 array, dimension (LDA , max(NN))
196 *> Used to hold the matrix whose eigenvalues are to be
197 *> computed. On exit, A contains the last matrix actually
198 *> used.
199 *> Modified.
200 *>
201 *> LDA INTEGER
202 *> The leading dimension of A. It must be at
203 *> least 1 and at least max( NN ).
204 *> Not modified.
205 *>
206 *> D1 DOUBLE PRECISION array, dimension (max(NN))
207 *> The eigenvalues of A, as computed by ZSTEQR simlutaneously
208 *> with Z. On exit, the eigenvalues in D1 correspond with the
209 *> matrix in A.
210 *> Modified.
211 *>
212 *> D2 DOUBLE PRECISION array, dimension (max(NN))
213 *> The eigenvalues of A, as computed by ZSTEQR if Z is not
214 *> computed. On exit, the eigenvalues in D2 correspond with
215 *> the matrix in A.
216 *> Modified.
217 *>
218 *> D3 DOUBLE PRECISION array, dimension (max(NN))
219 *> The eigenvalues of A, as computed by DSTERF. On exit, the
220 *> eigenvalues in D3 correspond with the matrix in A.
221 *> Modified.
222 *>
223 *> WA1 DOUBLE PRECISION array, dimension
224 *>
225 *> WA2 DOUBLE PRECISION array, dimension
226 *>
227 *> WA3 DOUBLE PRECISION array, dimension
228 *>
229 *> U COMPLEX*16 array, dimension (LDU, max(NN))
230 *> The unitary matrix computed by ZHETRD + ZUNGC3.
231 *> Modified.
232 *>
233 *> LDU INTEGER
234 *> The leading dimension of U, Z, and V. It must be at
235 *> least 1 and at least max( NN ).
236 *> Not modified.
237 *>
238 *> V COMPLEX*16 array, dimension (LDU, max(NN))
239 *> The Housholder vectors computed by ZHETRD in reducing A to
240 *> tridiagonal form.
241 *> Modified.
242 *>
243 *> TAU COMPLEX*16 array, dimension (max(NN))
244 *> The Householder factors computed by ZHETRD in reducing A
245 *> to tridiagonal form.
246 *> Modified.
247 *>
248 *> Z COMPLEX*16 array, dimension (LDU, max(NN))
249 *> The unitary matrix of eigenvectors computed by ZHEEVD,
250 *> ZHEEVX, ZHPEVD, CHPEVX, ZHBEVD, and CHBEVX.
251 *> Modified.
252 *>
253 *> WORK - COMPLEX*16 array of dimension ( LWORK )
254 *> Workspace.
255 *> Modified.
256 *>
257 *> LWORK - INTEGER
258 *> The number of entries in WORK. This must be at least
259 *> 2*max( NN(j), 2 )**2.
260 *> Not modified.
261 *>
262 *> RWORK DOUBLE PRECISION array, dimension (3*max(NN))
263 *> Workspace.
264 *> Modified.
265 *>
266 *> LRWORK - INTEGER
267 *> The number of entries in RWORK.
268 *>
269 *> IWORK INTEGER array, dimension (6*max(NN))
270 *> Workspace.
271 *> Modified.
272 *>
273 *> LIWORK - INTEGER
274 *> The number of entries in IWORK.
275 *>
276 *> RESULT DOUBLE PRECISION array, dimension (??)
277 *> The values computed by the tests described above.
278 *> The values are currently limited to 1/ulp, to avoid
279 *> overflow.
280 *> Modified.
281 *>
282 *> INFO INTEGER
283 *> If 0, then everything ran OK.
284 *> -1: NSIZES < 0
285 *> -2: Some NN(j) < 0
286 *> -3: NTYPES < 0
287 *> -5: THRESH < 0
288 *> -9: LDA < 1 or LDA < NMAX, where NMAX is max( NN(j) ).
289 *> -16: LDU < 1 or LDU < NMAX.
290 *> -21: LWORK too small.
291 *> If DLATMR, SLATMS, ZHETRD, DORGC3, ZSTEQR, DSTERF,
292 *> or DORMC2 returns an error code, the
293 *> absolute value of it is returned.
294 *> Modified.
295 *>
296 *>-----------------------------------------------------------------------
297 *>
298 *> Some Local Variables and Parameters:
299 *> ---- ----- --------- --- ----------
300 *> ZERO, ONE Real 0 and 1.
301 *> MAXTYP The number of types defined.
302 *> NTEST The number of tests performed, or which can
303 *> be performed so far, for the current matrix.
304 *> NTESTT The total number of tests performed so far.
305 *> NMAX Largest value in NN.
306 *> NMATS The number of matrices generated so far.
307 *> NERRS The number of tests which have exceeded THRESH
308 *> so far (computed by DLAFTS).
309 *> COND, IMODE Values to be passed to the matrix generators.
310 *> ANORM Norm of A; passed to matrix generators.
311 *>
312 *> OVFL, UNFL Overflow and underflow thresholds.
313 *> ULP, ULPINV Finest relative precision and its inverse.
314 *> RTOVFL, RTUNFL Square roots of the previous 2 values.
315 *> The following four arrays decode JTYPE:
316 *> KTYPE(j) The general type (1-10) for type "j".
317 *> KMODE(j) The MODE value to be passed to the matrix
318 *> generator for type "j".
319 *> KMAGN(j) The order of magnitude ( O(1),
320 *> O(overflow^(1/2) ), O(underflow^(1/2) )
321 *> \endverbatim
322 *
323 * Authors:
324 * ========
325 *
326 *> \author Univ. of Tennessee
327 *> \author Univ. of California Berkeley
328 *> \author Univ. of Colorado Denver
329 *> \author NAG Ltd.
330 *
331 *> \date November 2011
332 *
333 *> \ingroup complex16_eig
334 *
335 * =====================================================================
336  SUBROUTINE zdrvst( NSIZES, NN, NTYPES, DOTYPE, ISEED, THRESH,
337  \$ nounit, a, lda, d1, d2, d3, wa1, wa2, wa3, u,
338  \$ ldu, v, tau, z, work, lwork, rwork, lrwork,
339  \$ iwork, liwork, result, info )
340 *
341 * -- LAPACK test routine (version 3.4.0) --
342 * -- LAPACK is a software package provided by Univ. of Tennessee, --
343 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
344 * November 2011
345 *
346 * .. Scalar Arguments ..
347  INTEGER info, lda, ldu, liwork, lrwork, lwork, nounit,
348  \$ nsizes, ntypes
349  DOUBLE PRECISION thresh
350 * ..
351 * .. Array Arguments ..
352  LOGICAL dotype( * )
353  INTEGER iseed( 4 ), iwork( * ), nn( * )
354  DOUBLE PRECISION d1( * ), d2( * ), d3( * ), result( * ),
355  \$ rwork( * ), wa1( * ), wa2( * ), wa3( * )
356  COMPLEX*16 a( lda, * ), tau( * ), u( ldu, * ),
357  \$ v( ldu, * ), work( * ), z( ldu, * )
358 * ..
359 *
360 * =====================================================================
361 *
362 *
363 * .. Parameters ..
364  DOUBLE PRECISION zero, one, two, ten
365  parameter( zero = 0.0d+0, one = 1.0d+0, two = 2.0d+0,
366  \$ ten = 10.0d+0 )
367  DOUBLE PRECISION half
368  parameter( half = one / two )
369  COMPLEX*16 czero, cone
370  parameter( czero = ( 0.0d+0, 0.0d+0 ),
371  \$ cone = ( 1.0d+0, 0.0d+0 ) )
372  INTEGER maxtyp
373  parameter( maxtyp = 18 )
374 * ..
375 * .. Local Scalars ..
377  CHARACTER uplo
378  INTEGER i, idiag, ihbw, iinfo, il, imode, indwrk, indx,
379  \$ irow, itemp, itype, iu, iuplo, j, j1, j2, jcol,
380  \$ jsize, jtype, kd, lgn, liwedc, lrwedc, lwedc,
381  \$ m, m2, m3, mtypes, n, nerrs, nmats, nmax,
382  \$ ntest, ntestt
383  DOUBLE PRECISION abstol, aninv, anorm, cond, ovfl, rtovfl,
384  \$ rtunfl, temp1, temp2, temp3, ulp, ulpinv, unfl,
385  \$ vl, vu
386 * ..
387 * .. Local Arrays ..
388  INTEGER idumma( 1 ), ioldsd( 4 ), iseed2( 4 ),
389  \$ iseed3( 4 ), kmagn( maxtyp ), kmode( maxtyp ),
390  \$ ktype( maxtyp )
391 * ..
392 * .. External Functions ..
393  DOUBLE PRECISION dlamch, dlarnd, dsxt1
394  EXTERNAL dlamch, dlarnd, dsxt1
395 * ..
396 * .. External Subroutines ..
397  EXTERNAL alasvm, dlabad, dlafts, xerbla, zhbev, zhbevd,
400  \$ zlatmr, zlatms
401 * ..
402 * .. Intrinsic Functions ..
403  INTRINSIC abs, dble, int, log, max, min, sqrt
404 * ..
405 * .. Data statements ..
406  DATA ktype / 1, 2, 5*4, 5*5, 3*8, 3*9 /
407  DATA kmagn / 2*1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 3, 1,
408  \$ 2, 3, 1, 2, 3 /
409  DATA kmode / 2*0, 4, 3, 1, 4, 4, 4, 3, 1, 4, 4, 0,
410  \$ 0, 0, 4, 4, 4 /
411 * ..
412 * .. Executable Statements ..
413 *
414 * 1) Check for errors
415 *
416  ntestt = 0
417  info = 0
418 *
419  badnn = .false.
420  nmax = 1
421  DO 10 j = 1, nsizes
422  nmax = max( nmax, nn( j ) )
423  IF( nn( j ).LT.0 )
424  \$ badnn = .true.
425  10 continue
426 *
427 * Check for errors
428 *
429  IF( nsizes.LT.0 ) THEN
430  info = -1
431  ELSE IF( badnn ) THEN
432  info = -2
433  ELSE IF( ntypes.LT.0 ) THEN
434  info = -3
435  ELSE IF( lda.LT.nmax ) THEN
436  info = -9
437  ELSE IF( ldu.LT.nmax ) THEN
438  info = -16
439  ELSE IF( 2*max( 2, nmax )**2.GT.lwork ) THEN
440  info = -22
441  END IF
442 *
443  IF( info.NE.0 ) THEN
444  CALL xerbla( 'ZDRVST', -info )
445  return
446  END IF
447 *
448 * Quick return if nothing to do
449 *
450  IF( nsizes.EQ.0 .OR. ntypes.EQ.0 )
451  \$ return
452 *
453 * More Important constants
454 *
455  unfl = dlamch( 'Safe minimum' )
456  ovfl = dlamch( 'Overflow' )
457  CALL dlabad( unfl, ovfl )
458  ulp = dlamch( 'Epsilon' )*dlamch( 'Base' )
459  ulpinv = one / ulp
460  rtunfl = sqrt( unfl )
461  rtovfl = sqrt( ovfl )
462 *
463 * Loop over sizes, types
464 *
465  DO 20 i = 1, 4
466  iseed2( i ) = iseed( i )
467  iseed3( i ) = iseed( i )
468  20 continue
469 *
470  nerrs = 0
471  nmats = 0
472 *
473  DO 1220 jsize = 1, nsizes
474  n = nn( jsize )
475  IF( n.GT.0 ) THEN
476  lgn = int( log( dble( n ) ) / log( two ) )
477  IF( 2**lgn.LT.n )
478  \$ lgn = lgn + 1
479  IF( 2**lgn.LT.n )
480  \$ lgn = lgn + 1
481  lwedc = max( 2*n+n*n, 2*n*n )
482  lrwedc = 1 + 4*n + 2*n*lgn + 3*n**2
483  liwedc = 3 + 5*n
484  ELSE
485  lwedc = 2
486  lrwedc = 8
487  liwedc = 8
488  END IF
489  aninv = one / dble( max( 1, n ) )
490 *
491  IF( nsizes.NE.1 ) THEN
492  mtypes = min( maxtyp, ntypes )
493  ELSE
494  mtypes = min( maxtyp+1, ntypes )
495  END IF
496 *
497  DO 1210 jtype = 1, mtypes
498  IF( .NOT.dotype( jtype ) )
499  \$ go to 1210
500  nmats = nmats + 1
501  ntest = 0
502 *
503  DO 30 j = 1, 4
504  ioldsd( j ) = iseed( j )
505  30 continue
506 *
507 * 2) Compute "A"
508 *
509 * Control parameters:
510 *
511 * KMAGN KMODE KTYPE
512 * =1 O(1) clustered 1 zero
513 * =2 large clustered 2 identity
514 * =3 small exponential (none)
515 * =4 arithmetic diagonal, (w/ eigenvalues)
516 * =5 random log Hermitian, w/ eigenvalues
517 * =6 random (none)
518 * =7 random diagonal
519 * =8 random Hermitian
520 * =9 band Hermitian, w/ eigenvalues
521 *
522  IF( mtypes.GT.maxtyp )
523  \$ go to 110
524 *
525  itype = ktype( jtype )
526  imode = kmode( jtype )
527 *
528 * Compute norm
529 *
530  go to( 40, 50, 60 )kmagn( jtype )
531 *
532  40 continue
533  anorm = one
534  go to 70
535 *
536  50 continue
537  anorm = ( rtovfl*ulp )*aninv
538  go to 70
539 *
540  60 continue
541  anorm = rtunfl*n*ulpinv
542  go to 70
543 *
544  70 continue
545 *
546  CALL zlaset( 'Full', lda, n, czero, czero, a, lda )
547  iinfo = 0
548  cond = ulpinv
549 *
550 * Special Matrices -- Identity & Jordan block
551 *
552 * Zero
553 *
554  IF( itype.EQ.1 ) THEN
555  iinfo = 0
556 *
557  ELSE IF( itype.EQ.2 ) THEN
558 *
559 * Identity
560 *
561  DO 80 jcol = 1, n
562  a( jcol, jcol ) = anorm
563  80 continue
564 *
565  ELSE IF( itype.EQ.4 ) THEN
566 *
567 * Diagonal Matrix, [Eigen]values Specified
568 *
569  CALL zlatms( n, n, 'S', iseed, 'H', rwork, imode, cond,
570  \$ anorm, 0, 0, 'N', a, lda, work, iinfo )
571 *
572  ELSE IF( itype.EQ.5 ) THEN
573 *
574 * Hermitian, eigenvalues specified
575 *
576  CALL zlatms( n, n, 'S', iseed, 'H', rwork, imode, cond,
577  \$ anorm, n, n, 'N', a, lda, work, iinfo )
578 *
579  ELSE IF( itype.EQ.7 ) THEN
580 *
581 * Diagonal, random eigenvalues
582 *
583  CALL zlatmr( n, n, 'S', iseed, 'H', work, 6, one, cone,
584  \$ 'T', 'N', work( n+1 ), 1, one,
585  \$ work( 2*n+1 ), 1, one, 'N', idumma, 0, 0,
586  \$ zero, anorm, 'NO', a, lda, iwork, iinfo )
587 *
588  ELSE IF( itype.EQ.8 ) THEN
589 *
590 * Hermitian, random eigenvalues
591 *
592  CALL zlatmr( n, n, 'S', iseed, 'H', work, 6, one, cone,
593  \$ 'T', 'N', work( n+1 ), 1, one,
594  \$ work( 2*n+1 ), 1, one, 'N', idumma, n, n,
595  \$ zero, anorm, 'NO', a, lda, iwork, iinfo )
596 *
597  ELSE IF( itype.EQ.9 ) THEN
598 *
599 * Hermitian banded, eigenvalues specified
600 *
601  ihbw = int( ( n-1 )*dlarnd( 1, iseed3 ) )
602  CALL zlatms( n, n, 'S', iseed, 'H', rwork, imode, cond,
603  \$ anorm, ihbw, ihbw, 'Z', u, ldu, work,
604  \$ iinfo )
605 *
606 * Store as dense matrix for most routines.
607 *
608  CALL zlaset( 'Full', lda, n, czero, czero, a, lda )
609  DO 100 idiag = -ihbw, ihbw
610  irow = ihbw - idiag + 1
611  j1 = max( 1, idiag+1 )
612  j2 = min( n, n+idiag )
613  DO 90 j = j1, j2
614  i = j - idiag
615  a( i, j ) = u( irow, j )
616  90 continue
617  100 continue
618  ELSE
619  iinfo = 1
620  END IF
621 *
622  IF( iinfo.NE.0 ) THEN
623  WRITE( nounit, fmt = 9999 )'Generator', iinfo, n, jtype,
624  \$ ioldsd
625  info = abs( iinfo )
626  return
627  END IF
628 *
629  110 continue
630 *
631  abstol = unfl + unfl
632  IF( n.LE.1 ) THEN
633  il = 1
634  iu = n
635  ELSE
636  il = 1 + int( ( n-1 )*dlarnd( 1, iseed2 ) )
637  iu = 1 + int( ( n-1 )*dlarnd( 1, iseed2 ) )
638  IF( il.GT.iu ) THEN
639  itemp = il
640  il = iu
641  iu = itemp
642  END IF
643  END IF
644 *
645 * Perform tests storing upper or lower triangular
646 * part of matrix.
647 *
648  DO 1200 iuplo = 0, 1
649  IF( iuplo.EQ.0 ) THEN
650  uplo = 'L'
651  ELSE
652  uplo = 'U'
653  END IF
654 *
655 * Call ZHEEVD and CHEEVX.
656 *
657  CALL zlacpy( ' ', n, n, a, lda, v, ldu )
658 *
659  ntest = ntest + 1
660  CALL zheevd( 'V', uplo, n, a, ldu, d1, work, lwedc,
661  \$ rwork, lrwedc, iwork, liwedc, iinfo )
662  IF( iinfo.NE.0 ) THEN
663  WRITE( nounit, fmt = 9999 )'ZHEEVD(V,' // uplo //
664  \$ ')', iinfo, n, jtype, ioldsd
665  info = abs( iinfo )
666  IF( iinfo.LT.0 ) THEN
667  return
668  ELSE
669  result( ntest ) = ulpinv
670  result( ntest+1 ) = ulpinv
671  result( ntest+2 ) = ulpinv
672  go to 130
673  END IF
674  END IF
675 *
676 * Do tests 1 and 2.
677 *
678  CALL zhet21( 1, uplo, n, 0, v, ldu, d1, d2, a, ldu, z,
679  \$ ldu, tau, work, rwork, result( ntest ) )
680 *
681  CALL zlacpy( ' ', n, n, v, ldu, a, lda )
682 *
683  ntest = ntest + 2
684  CALL zheevd( 'N', uplo, n, a, ldu, d3, work, lwedc,
685  \$ rwork, lrwedc, iwork, liwedc, iinfo )
686  IF( iinfo.NE.0 ) THEN
687  WRITE( nounit, fmt = 9999 )'ZHEEVD(N,' // uplo //
688  \$ ')', iinfo, n, jtype, ioldsd
689  info = abs( iinfo )
690  IF( iinfo.LT.0 ) THEN
691  return
692  ELSE
693  result( ntest ) = ulpinv
694  go to 130
695  END IF
696  END IF
697 *
698 * Do test 3.
699 *
700  temp1 = zero
701  temp2 = zero
702  DO 120 j = 1, n
703  temp1 = max( temp1, abs( d1( j ) ), abs( d3( j ) ) )
704  temp2 = max( temp2, abs( d1( j )-d3( j ) ) )
705  120 continue
706  result( ntest ) = temp2 / max( unfl,
707  \$ ulp*max( temp1, temp2 ) )
708 *
709  130 continue
710  CALL zlacpy( ' ', n, n, v, ldu, a, lda )
711 *
712  ntest = ntest + 1
713 *
714  IF( n.GT.0 ) THEN
715  temp3 = max( abs( d1( 1 ) ), abs( d1( n ) ) )
716  IF( il.NE.1 ) THEN
717  vl = d1( il ) - max( half*( d1( il )-d1( il-1 ) ),
718  \$ ten*ulp*temp3, ten*rtunfl )
719  ELSE IF( n.GT.0 ) THEN
720  vl = d1( 1 ) - max( half*( d1( n )-d1( 1 ) ),
721  \$ ten*ulp*temp3, ten*rtunfl )
722  END IF
723  IF( iu.NE.n ) THEN
724  vu = d1( iu ) + max( half*( d1( iu+1 )-d1( iu ) ),
725  \$ ten*ulp*temp3, ten*rtunfl )
726  ELSE IF( n.GT.0 ) THEN
727  vu = d1( n ) + max( half*( d1( n )-d1( 1 ) ),
728  \$ ten*ulp*temp3, ten*rtunfl )
729  END IF
730  ELSE
731  temp3 = zero
732  vl = zero
733  vu = one
734  END IF
735 *
736  CALL zheevx( 'V', 'A', uplo, n, a, ldu, vl, vu, il, iu,
737  \$ abstol, m, wa1, z, ldu, work, lwork, rwork,
738  \$ iwork, iwork( 5*n+1 ), iinfo )
739  IF( iinfo.NE.0 ) THEN
740  WRITE( nounit, fmt = 9999 )'ZHEEVX(V,A,' // uplo //
741  \$ ')', iinfo, n, jtype, ioldsd
742  info = abs( iinfo )
743  IF( iinfo.LT.0 ) THEN
744  return
745  ELSE
746  result( ntest ) = ulpinv
747  result( ntest+1 ) = ulpinv
748  result( ntest+2 ) = ulpinv
749  go to 150
750  END IF
751  END IF
752 *
753 * Do tests 4 and 5.
754 *
755  CALL zlacpy( ' ', n, n, v, ldu, a, lda )
756 *
757  CALL zhet21( 1, uplo, n, 0, a, ldu, wa1, d2, z, ldu, v,
758  \$ ldu, tau, work, rwork, result( ntest ) )
759 *
760  ntest = ntest + 2
761  CALL zheevx( 'N', 'A', uplo, n, a, ldu, vl, vu, il, iu,
762  \$ abstol, m2, wa2, z, ldu, work, lwork, rwork,
763  \$ iwork, iwork( 5*n+1 ), iinfo )
764  IF( iinfo.NE.0 ) THEN
765  WRITE( nounit, fmt = 9999 )'ZHEEVX(N,A,' // uplo //
766  \$ ')', iinfo, n, jtype, ioldsd
767  info = abs( iinfo )
768  IF( iinfo.LT.0 ) THEN
769  return
770  ELSE
771  result( ntest ) = ulpinv
772  go to 150
773  END IF
774  END IF
775 *
776 * Do test 6.
777 *
778  temp1 = zero
779  temp2 = zero
780  DO 140 j = 1, n
781  temp1 = max( temp1, abs( wa1( j ) ), abs( wa2( j ) ) )
782  temp2 = max( temp2, abs( wa1( j )-wa2( j ) ) )
783  140 continue
784  result( ntest ) = temp2 / max( unfl,
785  \$ ulp*max( temp1, temp2 ) )
786 *
787  150 continue
788  CALL zlacpy( ' ', n, n, v, ldu, a, lda )
789 *
790  ntest = ntest + 1
791 *
792  CALL zheevx( 'V', 'I', uplo, n, a, ldu, vl, vu, il, iu,
793  \$ abstol, m2, wa2, z, ldu, work, lwork, rwork,
794  \$ iwork, iwork( 5*n+1 ), iinfo )
795  IF( iinfo.NE.0 ) THEN
796  WRITE( nounit, fmt = 9999 )'ZHEEVX(V,I,' // uplo //
797  \$ ')', iinfo, n, jtype, ioldsd
798  info = abs( iinfo )
799  IF( iinfo.LT.0 ) THEN
800  return
801  ELSE
802  result( ntest ) = ulpinv
803  go to 160
804  END IF
805  END IF
806 *
807 * Do tests 7 and 8.
808 *
809  CALL zlacpy( ' ', n, n, v, ldu, a, lda )
810 *
811  CALL zhet22( 1, uplo, n, m2, 0, a, ldu, wa2, d2, z, ldu,
812  \$ v, ldu, tau, work, rwork, result( ntest ) )
813 *
814  ntest = ntest + 2
815 *
816  CALL zheevx( 'N', 'I', uplo, n, a, ldu, vl, vu, il, iu,
817  \$ abstol, m3, wa3, z, ldu, work, lwork, rwork,
818  \$ iwork, iwork( 5*n+1 ), iinfo )
819  IF( iinfo.NE.0 ) THEN
820  WRITE( nounit, fmt = 9999 )'ZHEEVX(N,I,' // uplo //
821  \$ ')', iinfo, n, jtype, ioldsd
822  info = abs( iinfo )
823  IF( iinfo.LT.0 ) THEN
824  return
825  ELSE
826  result( ntest ) = ulpinv
827  go to 160
828  END IF
829  END IF
830 *
831 * Do test 9.
832 *
833  temp1 = dsxt1( 1, wa2, m2, wa3, m3, abstol, ulp, unfl )
834  temp2 = dsxt1( 1, wa3, m3, wa2, m2, abstol, ulp, unfl )
835  IF( n.GT.0 ) THEN
836  temp3 = max( abs( wa1( 1 ) ), abs( wa1( n ) ) )
837  ELSE
838  temp3 = zero
839  END IF
840  result( ntest ) = ( temp1+temp2 ) /
841  \$ max( unfl, temp3*ulp )
842 *
843  160 continue
844  CALL zlacpy( ' ', n, n, v, ldu, a, lda )
845 *
846  ntest = ntest + 1
847 *
848  CALL zheevx( 'V', 'V', uplo, n, a, ldu, vl, vu, il, iu,
849  \$ abstol, m2, wa2, z, ldu, work, lwork, rwork,
850  \$ iwork, iwork( 5*n+1 ), iinfo )
851  IF( iinfo.NE.0 ) THEN
852  WRITE( nounit, fmt = 9999 )'ZHEEVX(V,V,' // uplo //
853  \$ ')', iinfo, n, jtype, ioldsd
854  info = abs( iinfo )
855  IF( iinfo.LT.0 ) THEN
856  return
857  ELSE
858  result( ntest ) = ulpinv
859  go to 170
860  END IF
861  END IF
862 *
863 * Do tests 10 and 11.
864 *
865  CALL zlacpy( ' ', n, n, v, ldu, a, lda )
866 *
867  CALL zhet22( 1, uplo, n, m2, 0, a, ldu, wa2, d2, z, ldu,
868  \$ v, ldu, tau, work, rwork, result( ntest ) )
869 *
870  ntest = ntest + 2
871 *
872  CALL zheevx( 'N', 'V', uplo, n, a, ldu, vl, vu, il, iu,
873  \$ abstol, m3, wa3, z, ldu, work, lwork, rwork,
874  \$ iwork, iwork( 5*n+1 ), iinfo )
875  IF( iinfo.NE.0 ) THEN
876  WRITE( nounit, fmt = 9999 )'ZHEEVX(N,V,' // uplo //
877  \$ ')', iinfo, n, jtype, ioldsd
878  info = abs( iinfo )
879  IF( iinfo.LT.0 ) THEN
880  return
881  ELSE
882  result( ntest ) = ulpinv
883  go to 170
884  END IF
885  END IF
886 *
887  IF( m3.EQ.0 .AND. n.GT.0 ) THEN
888  result( ntest ) = ulpinv
889  go to 170
890  END IF
891 *
892 * Do test 12.
893 *
894  temp1 = dsxt1( 1, wa2, m2, wa3, m3, abstol, ulp, unfl )
895  temp2 = dsxt1( 1, wa3, m3, wa2, m2, abstol, ulp, unfl )
896  IF( n.GT.0 ) THEN
897  temp3 = max( abs( wa1( 1 ) ), abs( wa1( n ) ) )
898  ELSE
899  temp3 = zero
900  END IF
901  result( ntest ) = ( temp1+temp2 ) /
902  \$ max( unfl, temp3*ulp )
903 *
904  170 continue
905 *
906 * Call ZHPEVD and CHPEVX.
907 *
908  CALL zlacpy( ' ', n, n, v, ldu, a, lda )
909 *
910 * Load array WORK with the upper or lower triangular
911 * part of the matrix in packed form.
912 *
913  IF( iuplo.EQ.1 ) THEN
914  indx = 1
915  DO 190 j = 1, n
916  DO 180 i = 1, j
917  work( indx ) = a( i, j )
918  indx = indx + 1
919  180 continue
920  190 continue
921  ELSE
922  indx = 1
923  DO 210 j = 1, n
924  DO 200 i = j, n
925  work( indx ) = a( i, j )
926  indx = indx + 1
927  200 continue
928  210 continue
929  END IF
930 *
931  ntest = ntest + 1
932  indwrk = n*( n+1 ) / 2 + 1
933  CALL zhpevd( 'V', uplo, n, work, d1, z, ldu,
934  \$ work( indwrk ), lwedc, rwork, lrwedc, iwork,
935  \$ liwedc, iinfo )
936  IF( iinfo.NE.0 ) THEN
937  WRITE( nounit, fmt = 9999 )'ZHPEVD(V,' // uplo //
938  \$ ')', iinfo, n, jtype, ioldsd
939  info = abs( iinfo )
940  IF( iinfo.LT.0 ) THEN
941  return
942  ELSE
943  result( ntest ) = ulpinv
944  result( ntest+1 ) = ulpinv
945  result( ntest+2 ) = ulpinv
946  go to 270
947  END IF
948  END IF
949 *
950 * Do tests 13 and 14.
951 *
952  CALL zhet21( 1, uplo, n, 0, a, lda, d1, d2, z, ldu, v,
953  \$ ldu, tau, work, rwork, result( ntest ) )
954 *
955  IF( iuplo.EQ.1 ) THEN
956  indx = 1
957  DO 230 j = 1, n
958  DO 220 i = 1, j
959  work( indx ) = a( i, j )
960  indx = indx + 1
961  220 continue
962  230 continue
963  ELSE
964  indx = 1
965  DO 250 j = 1, n
966  DO 240 i = j, n
967  work( indx ) = a( i, j )
968  indx = indx + 1
969  240 continue
970  250 continue
971  END IF
972 *
973  ntest = ntest + 2
974  indwrk = n*( n+1 ) / 2 + 1
975  CALL zhpevd( 'N', uplo, n, work, d3, z, ldu,
976  \$ work( indwrk ), lwedc, rwork, lrwedc, iwork,
977  \$ liwedc, iinfo )
978  IF( iinfo.NE.0 ) THEN
979  WRITE( nounit, fmt = 9999 )'ZHPEVD(N,' // uplo //
980  \$ ')', iinfo, n, jtype, ioldsd
981  info = abs( iinfo )
982  IF( iinfo.LT.0 ) THEN
983  return
984  ELSE
985  result( ntest ) = ulpinv
986  go to 270
987  END IF
988  END IF
989 *
990 * Do test 15.
991 *
992  temp1 = zero
993  temp2 = zero
994  DO 260 j = 1, n
995  temp1 = max( temp1, abs( d1( j ) ), abs( d3( j ) ) )
996  temp2 = max( temp2, abs( d1( j )-d3( j ) ) )
997  260 continue
998  result( ntest ) = temp2 / max( unfl,
999  \$ ulp*max( temp1, temp2 ) )
1000 *
1001 * Load array WORK with the upper or lower triangular part
1002 * of the matrix in packed form.
1003 *
1004  270 continue
1005  IF( iuplo.EQ.1 ) THEN
1006  indx = 1
1007  DO 290 j = 1, n
1008  DO 280 i = 1, j
1009  work( indx ) = a( i, j )
1010  indx = indx + 1
1011  280 continue
1012  290 continue
1013  ELSE
1014  indx = 1
1015  DO 310 j = 1, n
1016  DO 300 i = j, n
1017  work( indx ) = a( i, j )
1018  indx = indx + 1
1019  300 continue
1020  310 continue
1021  END IF
1022 *
1023  ntest = ntest + 1
1024 *
1025  IF( n.GT.0 ) THEN
1026  temp3 = max( abs( d1( 1 ) ), abs( d1( n ) ) )
1027  IF( il.NE.1 ) THEN
1028  vl = d1( il ) - max( half*( d1( il )-d1( il-1 ) ),
1029  \$ ten*ulp*temp3, ten*rtunfl )
1030  ELSE IF( n.GT.0 ) THEN
1031  vl = d1( 1 ) - max( half*( d1( n )-d1( 1 ) ),
1032  \$ ten*ulp*temp3, ten*rtunfl )
1033  END IF
1034  IF( iu.NE.n ) THEN
1035  vu = d1( iu ) + max( half*( d1( iu+1 )-d1( iu ) ),
1036  \$ ten*ulp*temp3, ten*rtunfl )
1037  ELSE IF( n.GT.0 ) THEN
1038  vu = d1( n ) + max( half*( d1( n )-d1( 1 ) ),
1039  \$ ten*ulp*temp3, ten*rtunfl )
1040  END IF
1041  ELSE
1042  temp3 = zero
1043  vl = zero
1044  vu = one
1045  END IF
1046 *
1047  CALL zhpevx( 'V', 'A', uplo, n, work, vl, vu, il, iu,
1048  \$ abstol, m, wa1, z, ldu, v, rwork, iwork,
1049  \$ iwork( 5*n+1 ), iinfo )
1050  IF( iinfo.NE.0 ) THEN
1051  WRITE( nounit, fmt = 9999 )'ZHPEVX(V,A,' // uplo //
1052  \$ ')', iinfo, n, jtype, ioldsd
1053  info = abs( iinfo )
1054  IF( iinfo.LT.0 ) THEN
1055  return
1056  ELSE
1057  result( ntest ) = ulpinv
1058  result( ntest+1 ) = ulpinv
1059  result( ntest+2 ) = ulpinv
1060  go to 370
1061  END IF
1062  END IF
1063 *
1064 * Do tests 16 and 17.
1065 *
1066  CALL zhet21( 1, uplo, n, 0, a, ldu, wa1, d2, z, ldu, v,
1067  \$ ldu, tau, work, rwork, result( ntest ) )
1068 *
1069  ntest = ntest + 2
1070 *
1071  IF( iuplo.EQ.1 ) THEN
1072  indx = 1
1073  DO 330 j = 1, n
1074  DO 320 i = 1, j
1075  work( indx ) = a( i, j )
1076  indx = indx + 1
1077  320 continue
1078  330 continue
1079  ELSE
1080  indx = 1
1081  DO 350 j = 1, n
1082  DO 340 i = j, n
1083  work( indx ) = a( i, j )
1084  indx = indx + 1
1085  340 continue
1086  350 continue
1087  END IF
1088 *
1089  CALL zhpevx( 'N', 'A', uplo, n, work, vl, vu, il, iu,
1090  \$ abstol, m2, wa2, z, ldu, v, rwork, iwork,
1091  \$ iwork( 5*n+1 ), iinfo )
1092  IF( iinfo.NE.0 ) THEN
1093  WRITE( nounit, fmt = 9999 )'ZHPEVX(N,A,' // uplo //
1094  \$ ')', iinfo, n, jtype, ioldsd
1095  info = abs( iinfo )
1096  IF( iinfo.LT.0 ) THEN
1097  return
1098  ELSE
1099  result( ntest ) = ulpinv
1100  go to 370
1101  END IF
1102  END IF
1103 *
1104 * Do test 18.
1105 *
1106  temp1 = zero
1107  temp2 = zero
1108  DO 360 j = 1, n
1109  temp1 = max( temp1, abs( wa1( j ) ), abs( wa2( j ) ) )
1110  temp2 = max( temp2, abs( wa1( j )-wa2( j ) ) )
1111  360 continue
1112  result( ntest ) = temp2 / max( unfl,
1113  \$ ulp*max( temp1, temp2 ) )
1114 *
1115  370 continue
1116  ntest = ntest + 1
1117  IF( iuplo.EQ.1 ) THEN
1118  indx = 1
1119  DO 390 j = 1, n
1120  DO 380 i = 1, j
1121  work( indx ) = a( i, j )
1122  indx = indx + 1
1123  380 continue
1124  390 continue
1125  ELSE
1126  indx = 1
1127  DO 410 j = 1, n
1128  DO 400 i = j, n
1129  work( indx ) = a( i, j )
1130  indx = indx + 1
1131  400 continue
1132  410 continue
1133  END IF
1134 *
1135  CALL zhpevx( 'V', 'I', uplo, n, work, vl, vu, il, iu,
1136  \$ abstol, m2, wa2, z, ldu, v, rwork, iwork,
1137  \$ iwork( 5*n+1 ), iinfo )
1138  IF( iinfo.NE.0 ) THEN
1139  WRITE( nounit, fmt = 9999 )'ZHPEVX(V,I,' // uplo //
1140  \$ ')', iinfo, n, jtype, ioldsd
1141  info = abs( iinfo )
1142  IF( iinfo.LT.0 ) THEN
1143  return
1144  ELSE
1145  result( ntest ) = ulpinv
1146  result( ntest+1 ) = ulpinv
1147  result( ntest+2 ) = ulpinv
1148  go to 460
1149  END IF
1150  END IF
1151 *
1152 * Do tests 19 and 20.
1153 *
1154  CALL zhet22( 1, uplo, n, m2, 0, a, ldu, wa2, d2, z, ldu,
1155  \$ v, ldu, tau, work, rwork, result( ntest ) )
1156 *
1157  ntest = ntest + 2
1158 *
1159  IF( iuplo.EQ.1 ) THEN
1160  indx = 1
1161  DO 430 j = 1, n
1162  DO 420 i = 1, j
1163  work( indx ) = a( i, j )
1164  indx = indx + 1
1165  420 continue
1166  430 continue
1167  ELSE
1168  indx = 1
1169  DO 450 j = 1, n
1170  DO 440 i = j, n
1171  work( indx ) = a( i, j )
1172  indx = indx + 1
1173  440 continue
1174  450 continue
1175  END IF
1176 *
1177  CALL zhpevx( 'N', 'I', uplo, n, work, vl, vu, il, iu,
1178  \$ abstol, m3, wa3, z, ldu, v, rwork, iwork,
1179  \$ iwork( 5*n+1 ), iinfo )
1180  IF( iinfo.NE.0 ) THEN
1181  WRITE( nounit, fmt = 9999 )'ZHPEVX(N,I,' // uplo //
1182  \$ ')', iinfo, n, jtype, ioldsd
1183  info = abs( iinfo )
1184  IF( iinfo.LT.0 ) THEN
1185  return
1186  ELSE
1187  result( ntest ) = ulpinv
1188  go to 460
1189  END IF
1190  END IF
1191 *
1192 * Do test 21.
1193 *
1194  temp1 = dsxt1( 1, wa2, m2, wa3, m3, abstol, ulp, unfl )
1195  temp2 = dsxt1( 1, wa3, m3, wa2, m2, abstol, ulp, unfl )
1196  IF( n.GT.0 ) THEN
1197  temp3 = max( abs( wa1( 1 ) ), abs( wa1( n ) ) )
1198  ELSE
1199  temp3 = zero
1200  END IF
1201  result( ntest ) = ( temp1+temp2 ) /
1202  \$ max( unfl, temp3*ulp )
1203 *
1204  460 continue
1205  ntest = ntest + 1
1206  IF( iuplo.EQ.1 ) THEN
1207  indx = 1
1208  DO 480 j = 1, n
1209  DO 470 i = 1, j
1210  work( indx ) = a( i, j )
1211  indx = indx + 1
1212  470 continue
1213  480 continue
1214  ELSE
1215  indx = 1
1216  DO 500 j = 1, n
1217  DO 490 i = j, n
1218  work( indx ) = a( i, j )
1219  indx = indx + 1
1220  490 continue
1221  500 continue
1222  END IF
1223 *
1224  CALL zhpevx( 'V', 'V', uplo, n, work, vl, vu, il, iu,
1225  \$ abstol, m2, wa2, z, ldu, v, rwork, iwork,
1226  \$ iwork( 5*n+1 ), iinfo )
1227  IF( iinfo.NE.0 ) THEN
1228  WRITE( nounit, fmt = 9999 )'ZHPEVX(V,V,' // uplo //
1229  \$ ')', iinfo, n, jtype, ioldsd
1230  info = abs( iinfo )
1231  IF( iinfo.LT.0 ) THEN
1232  return
1233  ELSE
1234  result( ntest ) = ulpinv
1235  result( ntest+1 ) = ulpinv
1236  result( ntest+2 ) = ulpinv
1237  go to 550
1238  END IF
1239  END IF
1240 *
1241 * Do tests 22 and 23.
1242 *
1243  CALL zhet22( 1, uplo, n, m2, 0, a, ldu, wa2, d2, z, ldu,
1244  \$ v, ldu, tau, work, rwork, result( ntest ) )
1245 *
1246  ntest = ntest + 2
1247 *
1248  IF( iuplo.EQ.1 ) THEN
1249  indx = 1
1250  DO 520 j = 1, n
1251  DO 510 i = 1, j
1252  work( indx ) = a( i, j )
1253  indx = indx + 1
1254  510 continue
1255  520 continue
1256  ELSE
1257  indx = 1
1258  DO 540 j = 1, n
1259  DO 530 i = j, n
1260  work( indx ) = a( i, j )
1261  indx = indx + 1
1262  530 continue
1263  540 continue
1264  END IF
1265 *
1266  CALL zhpevx( 'N', 'V', uplo, n, work, vl, vu, il, iu,
1267  \$ abstol, m3, wa3, z, ldu, v, rwork, iwork,
1268  \$ iwork( 5*n+1 ), iinfo )
1269  IF( iinfo.NE.0 ) THEN
1270  WRITE( nounit, fmt = 9999 )'ZHPEVX(N,V,' // uplo //
1271  \$ ')', iinfo, n, jtype, ioldsd
1272  info = abs( iinfo )
1273  IF( iinfo.LT.0 ) THEN
1274  return
1275  ELSE
1276  result( ntest ) = ulpinv
1277  go to 550
1278  END IF
1279  END IF
1280 *
1281  IF( m3.EQ.0 .AND. n.GT.0 ) THEN
1282  result( ntest ) = ulpinv
1283  go to 550
1284  END IF
1285 *
1286 * Do test 24.
1287 *
1288  temp1 = dsxt1( 1, wa2, m2, wa3, m3, abstol, ulp, unfl )
1289  temp2 = dsxt1( 1, wa3, m3, wa2, m2, abstol, ulp, unfl )
1290  IF( n.GT.0 ) THEN
1291  temp3 = max( abs( wa1( 1 ) ), abs( wa1( n ) ) )
1292  ELSE
1293  temp3 = zero
1294  END IF
1295  result( ntest ) = ( temp1+temp2 ) /
1296  \$ max( unfl, temp3*ulp )
1297 *
1298  550 continue
1299 *
1300 * Call ZHBEVD and CHBEVX.
1301 *
1302  IF( jtype.LE.7 ) THEN
1303  kd = 0
1304  ELSE IF( jtype.GE.8 .AND. jtype.LE.15 ) THEN
1305  kd = max( n-1, 0 )
1306  ELSE
1307  kd = ihbw
1308  END IF
1309 *
1310 * Load array V with the upper or lower triangular part
1311 * of the matrix in band form.
1312 *
1313  IF( iuplo.EQ.1 ) THEN
1314  DO 570 j = 1, n
1315  DO 560 i = max( 1, j-kd ), j
1316  v( kd+1+i-j, j ) = a( i, j )
1317  560 continue
1318  570 continue
1319  ELSE
1320  DO 590 j = 1, n
1321  DO 580 i = j, min( n, j+kd )
1322  v( 1+i-j, j ) = a( i, j )
1323  580 continue
1324  590 continue
1325  END IF
1326 *
1327  ntest = ntest + 1
1328  CALL zhbevd( 'V', uplo, n, kd, v, ldu, d1, z, ldu, work,
1329  \$ lwedc, rwork, lrwedc, iwork, liwedc, iinfo )
1330  IF( iinfo.NE.0 ) THEN
1331  WRITE( nounit, fmt = 9998 )'ZHBEVD(V,' // uplo //
1332  \$ ')', iinfo, n, kd, jtype, ioldsd
1333  info = abs( iinfo )
1334  IF( iinfo.LT.0 ) THEN
1335  return
1336  ELSE
1337  result( ntest ) = ulpinv
1338  result( ntest+1 ) = ulpinv
1339  result( ntest+2 ) = ulpinv
1340  go to 650
1341  END IF
1342  END IF
1343 *
1344 * Do tests 25 and 26.
1345 *
1346  CALL zhet21( 1, uplo, n, 0, a, lda, d1, d2, z, ldu, v,
1347  \$ ldu, tau, work, rwork, result( ntest ) )
1348 *
1349  IF( iuplo.EQ.1 ) THEN
1350  DO 610 j = 1, n
1351  DO 600 i = max( 1, j-kd ), j
1352  v( kd+1+i-j, j ) = a( i, j )
1353  600 continue
1354  610 continue
1355  ELSE
1356  DO 630 j = 1, n
1357  DO 620 i = j, min( n, j+kd )
1358  v( 1+i-j, j ) = a( i, j )
1359  620 continue
1360  630 continue
1361  END IF
1362 *
1363  ntest = ntest + 2
1364  CALL zhbevd( 'N', uplo, n, kd, v, ldu, d3, z, ldu, work,
1365  \$ lwedc, rwork, lrwedc, iwork, liwedc, iinfo )
1366  IF( iinfo.NE.0 ) THEN
1367  WRITE( nounit, fmt = 9998 )'ZHBEVD(N,' // uplo //
1368  \$ ')', iinfo, n, kd, jtype, ioldsd
1369  info = abs( iinfo )
1370  IF( iinfo.LT.0 ) THEN
1371  return
1372  ELSE
1373  result( ntest ) = ulpinv
1374  go to 650
1375  END IF
1376  END IF
1377 *
1378 * Do test 27.
1379 *
1380  temp1 = zero
1381  temp2 = zero
1382  DO 640 j = 1, n
1383  temp1 = max( temp1, abs( d1( j ) ), abs( d3( j ) ) )
1384  temp2 = max( temp2, abs( d1( j )-d3( j ) ) )
1385  640 continue
1386  result( ntest ) = temp2 / max( unfl,
1387  \$ ulp*max( temp1, temp2 ) )
1388 *
1389 * Load array V with the upper or lower triangular part
1390 * of the matrix in band form.
1391 *
1392  650 continue
1393  IF( iuplo.EQ.1 ) THEN
1394  DO 670 j = 1, n
1395  DO 660 i = max( 1, j-kd ), j
1396  v( kd+1+i-j, j ) = a( i, j )
1397  660 continue
1398  670 continue
1399  ELSE
1400  DO 690 j = 1, n
1401  DO 680 i = j, min( n, j+kd )
1402  v( 1+i-j, j ) = a( i, j )
1403  680 continue
1404  690 continue
1405  END IF
1406 *
1407  ntest = ntest + 1
1408  CALL zhbevx( 'V', 'A', uplo, n, kd, v, ldu, u, ldu, vl,
1409  \$ vu, il, iu, abstol, m, wa1, z, ldu, work,
1410  \$ rwork, iwork, iwork( 5*n+1 ), iinfo )
1411  IF( iinfo.NE.0 ) THEN
1412  WRITE( nounit, fmt = 9999 )'ZHBEVX(V,A,' // uplo //
1413  \$ ')', iinfo, n, kd, jtype, ioldsd
1414  info = abs( iinfo )
1415  IF( iinfo.LT.0 ) THEN
1416  return
1417  ELSE
1418  result( ntest ) = ulpinv
1419  result( ntest+1 ) = ulpinv
1420  result( ntest+2 ) = ulpinv
1421  go to 750
1422  END IF
1423  END IF
1424 *
1425 * Do tests 28 and 29.
1426 *
1427  CALL zhet21( 1, uplo, n, 0, a, ldu, wa1, d2, z, ldu, v,
1428  \$ ldu, tau, work, rwork, result( ntest ) )
1429 *
1430  ntest = ntest + 2
1431 *
1432  IF( iuplo.EQ.1 ) THEN
1433  DO 710 j = 1, n
1434  DO 700 i = max( 1, j-kd ), j
1435  v( kd+1+i-j, j ) = a( i, j )
1436  700 continue
1437  710 continue
1438  ELSE
1439  DO 730 j = 1, n
1440  DO 720 i = j, min( n, j+kd )
1441  v( 1+i-j, j ) = a( i, j )
1442  720 continue
1443  730 continue
1444  END IF
1445 *
1446  CALL zhbevx( 'N', 'A', uplo, n, kd, v, ldu, u, ldu, vl,
1447  \$ vu, il, iu, abstol, m2, wa2, z, ldu, work,
1448  \$ rwork, iwork, iwork( 5*n+1 ), iinfo )
1449  IF( iinfo.NE.0 ) THEN
1450  WRITE( nounit, fmt = 9998 )'ZHBEVX(N,A,' // uplo //
1451  \$ ')', iinfo, n, kd, jtype, ioldsd
1452  info = abs( iinfo )
1453  IF( iinfo.LT.0 ) THEN
1454  return
1455  ELSE
1456  result( ntest ) = ulpinv
1457  go to 750
1458  END IF
1459  END IF
1460 *
1461 * Do test 30.
1462 *
1463  temp1 = zero
1464  temp2 = zero
1465  DO 740 j = 1, n
1466  temp1 = max( temp1, abs( wa1( j ) ), abs( wa2( j ) ) )
1467  temp2 = max( temp2, abs( wa1( j )-wa2( j ) ) )
1468  740 continue
1469  result( ntest ) = temp2 / max( unfl,
1470  \$ ulp*max( temp1, temp2 ) )
1471 *
1472 * Load array V with the upper or lower triangular part
1473 * of the matrix in band form.
1474 *
1475  750 continue
1476  ntest = ntest + 1
1477  IF( iuplo.EQ.1 ) THEN
1478  DO 770 j = 1, n
1479  DO 760 i = max( 1, j-kd ), j
1480  v( kd+1+i-j, j ) = a( i, j )
1481  760 continue
1482  770 continue
1483  ELSE
1484  DO 790 j = 1, n
1485  DO 780 i = j, min( n, j+kd )
1486  v( 1+i-j, j ) = a( i, j )
1487  780 continue
1488  790 continue
1489  END IF
1490 *
1491  CALL zhbevx( 'V', 'I', uplo, n, kd, v, ldu, u, ldu, vl,
1492  \$ vu, il, iu, abstol, m2, wa2, z, ldu, work,
1493  \$ rwork, iwork, iwork( 5*n+1 ), iinfo )
1494  IF( iinfo.NE.0 ) THEN
1495  WRITE( nounit, fmt = 9998 )'ZHBEVX(V,I,' // uplo //
1496  \$ ')', iinfo, n, kd, jtype, ioldsd
1497  info = abs( iinfo )
1498  IF( iinfo.LT.0 ) THEN
1499  return
1500  ELSE
1501  result( ntest ) = ulpinv
1502  result( ntest+1 ) = ulpinv
1503  result( ntest+2 ) = ulpinv
1504  go to 840
1505  END IF
1506  END IF
1507 *
1508 * Do tests 31 and 32.
1509 *
1510  CALL zhet22( 1, uplo, n, m2, 0, a, ldu, wa2, d2, z, ldu,
1511  \$ v, ldu, tau, work, rwork, result( ntest ) )
1512 *
1513  ntest = ntest + 2
1514 *
1515  IF( iuplo.EQ.1 ) THEN
1516  DO 810 j = 1, n
1517  DO 800 i = max( 1, j-kd ), j
1518  v( kd+1+i-j, j ) = a( i, j )
1519  800 continue
1520  810 continue
1521  ELSE
1522  DO 830 j = 1, n
1523  DO 820 i = j, min( n, j+kd )
1524  v( 1+i-j, j ) = a( i, j )
1525  820 continue
1526  830 continue
1527  END IF
1528  CALL zhbevx( 'N', 'I', uplo, n, kd, v, ldu, u, ldu, vl,
1529  \$ vu, il, iu, abstol, m3, wa3, z, ldu, work,
1530  \$ rwork, iwork, iwork( 5*n+1 ), iinfo )
1531  IF( iinfo.NE.0 ) THEN
1532  WRITE( nounit, fmt = 9998 )'ZHBEVX(N,I,' // uplo //
1533  \$ ')', iinfo, n, kd, jtype, ioldsd
1534  info = abs( iinfo )
1535  IF( iinfo.LT.0 ) THEN
1536  return
1537  ELSE
1538  result( ntest ) = ulpinv
1539  go to 840
1540  END IF
1541  END IF
1542 *
1543 * Do test 33.
1544 *
1545  temp1 = dsxt1( 1, wa2, m2, wa3, m3, abstol, ulp, unfl )
1546  temp2 = dsxt1( 1, wa3, m3, wa2, m2, abstol, ulp, unfl )
1547  IF( n.GT.0 ) THEN
1548  temp3 = max( abs( wa1( 1 ) ), abs( wa1( n ) ) )
1549  ELSE
1550  temp3 = zero
1551  END IF
1552  result( ntest ) = ( temp1+temp2 ) /
1553  \$ max( unfl, temp3*ulp )
1554 *
1555 * Load array V with the upper or lower triangular part
1556 * of the matrix in band form.
1557 *
1558  840 continue
1559  ntest = ntest + 1
1560  IF( iuplo.EQ.1 ) THEN
1561  DO 860 j = 1, n
1562  DO 850 i = max( 1, j-kd ), j
1563  v( kd+1+i-j, j ) = a( i, j )
1564  850 continue
1565  860 continue
1566  ELSE
1567  DO 880 j = 1, n
1568  DO 870 i = j, min( n, j+kd )
1569  v( 1+i-j, j ) = a( i, j )
1570  870 continue
1571  880 continue
1572  END IF
1573  CALL zhbevx( 'V', 'V', uplo, n, kd, v, ldu, u, ldu, vl,
1574  \$ vu, il, iu, abstol, m2, wa2, z, ldu, work,
1575  \$ rwork, iwork, iwork( 5*n+1 ), iinfo )
1576  IF( iinfo.NE.0 ) THEN
1577  WRITE( nounit, fmt = 9998 )'ZHBEVX(V,V,' // uplo //
1578  \$ ')', iinfo, n, kd, jtype, ioldsd
1579  info = abs( iinfo )
1580  IF( iinfo.LT.0 ) THEN
1581  return
1582  ELSE
1583  result( ntest ) = ulpinv
1584  result( ntest+1 ) = ulpinv
1585  result( ntest+2 ) = ulpinv
1586  go to 930
1587  END IF
1588  END IF
1589 *
1590 * Do tests 34 and 35.
1591 *
1592  CALL zhet22( 1, uplo, n, m2, 0, a, ldu, wa2, d2, z, ldu,
1593  \$ v, ldu, tau, work, rwork, result( ntest ) )
1594 *
1595  ntest = ntest + 2
1596 *
1597  IF( iuplo.EQ.1 ) THEN
1598  DO 900 j = 1, n
1599  DO 890 i = max( 1, j-kd ), j
1600  v( kd+1+i-j, j ) = a( i, j )
1601  890 continue
1602  900 continue
1603  ELSE
1604  DO 920 j = 1, n
1605  DO 910 i = j, min( n, j+kd )
1606  v( 1+i-j, j ) = a( i, j )
1607  910 continue
1608  920 continue
1609  END IF
1610  CALL zhbevx( 'N', 'V', uplo, n, kd, v, ldu, u, ldu, vl,
1611  \$ vu, il, iu, abstol, m3, wa3, z, ldu, work,
1612  \$ rwork, iwork, iwork( 5*n+1 ), iinfo )
1613  IF( iinfo.NE.0 ) THEN
1614  WRITE( nounit, fmt = 9998 )'ZHBEVX(N,V,' // uplo //
1615  \$ ')', iinfo, n, kd, jtype, ioldsd
1616  info = abs( iinfo )
1617  IF( iinfo.LT.0 ) THEN
1618  return
1619  ELSE
1620  result( ntest ) = ulpinv
1621  go to 930
1622  END IF
1623  END IF
1624 *
1625  IF( m3.EQ.0 .AND. n.GT.0 ) THEN
1626  result( ntest ) = ulpinv
1627  go to 930
1628  END IF
1629 *
1630 * Do test 36.
1631 *
1632  temp1 = dsxt1( 1, wa2, m2, wa3, m3, abstol, ulp, unfl )
1633  temp2 = dsxt1( 1, wa3, m3, wa2, m2, abstol, ulp, unfl )
1634  IF( n.GT.0 ) THEN
1635  temp3 = max( abs( wa1( 1 ) ), abs( wa1( n ) ) )
1636  ELSE
1637  temp3 = zero
1638  END IF
1639  result( ntest ) = ( temp1+temp2 ) /
1640  \$ max( unfl, temp3*ulp )
1641 *
1642  930 continue
1643 *
1644 * Call ZHEEV
1645 *
1646  CALL zlacpy( ' ', n, n, a, lda, v, ldu )
1647 *
1648  ntest = ntest + 1
1649  CALL zheev( 'V', uplo, n, a, ldu, d1, work, lwork, rwork,
1650  \$ iinfo )
1651  IF( iinfo.NE.0 ) THEN
1652  WRITE( nounit, fmt = 9999 )'ZHEEV(V,' // uplo // ')',
1653  \$ iinfo, n, jtype, ioldsd
1654  info = abs( iinfo )
1655  IF( iinfo.LT.0 ) THEN
1656  return
1657  ELSE
1658  result( ntest ) = ulpinv
1659  result( ntest+1 ) = ulpinv
1660  result( ntest+2 ) = ulpinv
1661  go to 950
1662  END IF
1663  END IF
1664 *
1665 * Do tests 37 and 38
1666 *
1667  CALL zhet21( 1, uplo, n, 0, v, ldu, d1, d2, a, ldu, z,
1668  \$ ldu, tau, work, rwork, result( ntest ) )
1669 *
1670  CALL zlacpy( ' ', n, n, v, ldu, a, lda )
1671 *
1672  ntest = ntest + 2
1673  CALL zheev( 'N', uplo, n, a, ldu, d3, work, lwork, rwork,
1674  \$ iinfo )
1675  IF( iinfo.NE.0 ) THEN
1676  WRITE( nounit, fmt = 9999 )'ZHEEV(N,' // uplo // ')',
1677  \$ iinfo, n, jtype, ioldsd
1678  info = abs( iinfo )
1679  IF( iinfo.LT.0 ) THEN
1680  return
1681  ELSE
1682  result( ntest ) = ulpinv
1683  go to 950
1684  END IF
1685  END IF
1686 *
1687 * Do test 39
1688 *
1689  temp1 = zero
1690  temp2 = zero
1691  DO 940 j = 1, n
1692  temp1 = max( temp1, abs( d1( j ) ), abs( d3( j ) ) )
1693  temp2 = max( temp2, abs( d1( j )-d3( j ) ) )
1694  940 continue
1695  result( ntest ) = temp2 / max( unfl,
1696  \$ ulp*max( temp1, temp2 ) )
1697 *
1698  950 continue
1699 *
1700  CALL zlacpy( ' ', n, n, v, ldu, a, lda )
1701 *
1702 * Call ZHPEV
1703 *
1704 * Load array WORK with the upper or lower triangular
1705 * part of the matrix in packed form.
1706 *
1707  IF( iuplo.EQ.1 ) THEN
1708  indx = 1
1709  DO 970 j = 1, n
1710  DO 960 i = 1, j
1711  work( indx ) = a( i, j )
1712  indx = indx + 1
1713  960 continue
1714  970 continue
1715  ELSE
1716  indx = 1
1717  DO 990 j = 1, n
1718  DO 980 i = j, n
1719  work( indx ) = a( i, j )
1720  indx = indx + 1
1721  980 continue
1722  990 continue
1723  END IF
1724 *
1725  ntest = ntest + 1
1726  indwrk = n*( n+1 ) / 2 + 1
1727  CALL zhpev( 'V', uplo, n, work, d1, z, ldu,
1728  \$ work( indwrk ), rwork, iinfo )
1729  IF( iinfo.NE.0 ) THEN
1730  WRITE( nounit, fmt = 9999 )'ZHPEV(V,' // uplo // ')',
1731  \$ iinfo, n, jtype, ioldsd
1732  info = abs( iinfo )
1733  IF( iinfo.LT.0 ) THEN
1734  return
1735  ELSE
1736  result( ntest ) = ulpinv
1737  result( ntest+1 ) = ulpinv
1738  result( ntest+2 ) = ulpinv
1739  go to 1050
1740  END IF
1741  END IF
1742 *
1743 * Do tests 40 and 41.
1744 *
1745  CALL zhet21( 1, uplo, n, 0, a, lda, d1, d2, z, ldu, v,
1746  \$ ldu, tau, work, rwork, result( ntest ) )
1747 *
1748  IF( iuplo.EQ.1 ) THEN
1749  indx = 1
1750  DO 1010 j = 1, n
1751  DO 1000 i = 1, j
1752  work( indx ) = a( i, j )
1753  indx = indx + 1
1754  1000 continue
1755  1010 continue
1756  ELSE
1757  indx = 1
1758  DO 1030 j = 1, n
1759  DO 1020 i = j, n
1760  work( indx ) = a( i, j )
1761  indx = indx + 1
1762  1020 continue
1763  1030 continue
1764  END IF
1765 *
1766  ntest = ntest + 2
1767  indwrk = n*( n+1 ) / 2 + 1
1768  CALL zhpev( 'N', uplo, n, work, d3, z, ldu,
1769  \$ work( indwrk ), rwork, iinfo )
1770  IF( iinfo.NE.0 ) THEN
1771  WRITE( nounit, fmt = 9999 )'ZHPEV(N,' // uplo // ')',
1772  \$ iinfo, n, jtype, ioldsd
1773  info = abs( iinfo )
1774  IF( iinfo.LT.0 ) THEN
1775  return
1776  ELSE
1777  result( ntest ) = ulpinv
1778  go to 1050
1779  END IF
1780  END IF
1781 *
1782 * Do test 42
1783 *
1784  temp1 = zero
1785  temp2 = zero
1786  DO 1040 j = 1, n
1787  temp1 = max( temp1, abs( d1( j ) ), abs( d3( j ) ) )
1788  temp2 = max( temp2, abs( d1( j )-d3( j ) ) )
1789  1040 continue
1790  result( ntest ) = temp2 / max( unfl,
1791  \$ ulp*max( temp1, temp2 ) )
1792 *
1793  1050 continue
1794 *
1795 * Call ZHBEV
1796 *
1797  IF( jtype.LE.7 ) THEN
1798  kd = 0
1799  ELSE IF( jtype.GE.8 .AND. jtype.LE.15 ) THEN
1800  kd = max( n-1, 0 )
1801  ELSE
1802  kd = ihbw
1803  END IF
1804 *
1805 * Load array V with the upper or lower triangular part
1806 * of the matrix in band form.
1807 *
1808  IF( iuplo.EQ.1 ) THEN
1809  DO 1070 j = 1, n
1810  DO 1060 i = max( 1, j-kd ), j
1811  v( kd+1+i-j, j ) = a( i, j )
1812  1060 continue
1813  1070 continue
1814  ELSE
1815  DO 1090 j = 1, n
1816  DO 1080 i = j, min( n, j+kd )
1817  v( 1+i-j, j ) = a( i, j )
1818  1080 continue
1819  1090 continue
1820  END IF
1821 *
1822  ntest = ntest + 1
1823  CALL zhbev( 'V', uplo, n, kd, v, ldu, d1, z, ldu, work,
1824  \$ rwork, iinfo )
1825  IF( iinfo.NE.0 ) THEN
1826  WRITE( nounit, fmt = 9998 )'ZHBEV(V,' // uplo // ')',
1827  \$ iinfo, n, kd, jtype, ioldsd
1828  info = abs( iinfo )
1829  IF( iinfo.LT.0 ) THEN
1830  return
1831  ELSE
1832  result( ntest ) = ulpinv
1833  result( ntest+1 ) = ulpinv
1834  result( ntest+2 ) = ulpinv
1835  go to 1140
1836  END IF
1837  END IF
1838 *
1839 * Do tests 43 and 44.
1840 *
1841  CALL zhet21( 1, uplo, n, 0, a, lda, d1, d2, z, ldu, v,
1842  \$ ldu, tau, work, rwork, result( ntest ) )
1843 *
1844  IF( iuplo.EQ.1 ) THEN
1845  DO 1110 j = 1, n
1846  DO 1100 i = max( 1, j-kd ), j
1847  v( kd+1+i-j, j ) = a( i, j )
1848  1100 continue
1849  1110 continue
1850  ELSE
1851  DO 1130 j = 1, n
1852  DO 1120 i = j, min( n, j+kd )
1853  v( 1+i-j, j ) = a( i, j )
1854  1120 continue
1855  1130 continue
1856  END IF
1857 *
1858  ntest = ntest + 2
1859  CALL zhbev( 'N', uplo, n, kd, v, ldu, d3, z, ldu, work,
1860  \$ rwork, iinfo )
1861  IF( iinfo.NE.0 ) THEN
1862  WRITE( nounit, fmt = 9998 )'ZHBEV(N,' // uplo // ')',
1863  \$ iinfo, n, kd, jtype, ioldsd
1864  info = abs( iinfo )
1865  IF( iinfo.LT.0 ) THEN
1866  return
1867  ELSE
1868  result( ntest ) = ulpinv
1869  go to 1140
1870  END IF
1871  END IF
1872 *
1873  1140 continue
1874 *
1875 * Do test 45.
1876 *
1877  temp1 = zero
1878  temp2 = zero
1879  DO 1150 j = 1, n
1880  temp1 = max( temp1, abs( d1( j ) ), abs( d3( j ) ) )
1881  temp2 = max( temp2, abs( d1( j )-d3( j ) ) )
1882  1150 continue
1883  result( ntest ) = temp2 / max( unfl,
1884  \$ ulp*max( temp1, temp2 ) )
1885 *
1886  CALL zlacpy( ' ', n, n, a, lda, v, ldu )
1887  ntest = ntest + 1
1888  CALL zheevr( 'V', 'A', uplo, n, a, ldu, vl, vu, il, iu,
1889  \$ abstol, m, wa1, z, ldu, iwork, work, lwork,
1890  \$ rwork, lrwork, iwork( 2*n+1 ), liwork-2*n,
1891  \$ iinfo )
1892  IF( iinfo.NE.0 ) THEN
1893  WRITE( nounit, fmt = 9999 )'ZHEEVR(V,A,' // uplo //
1894  \$ ')', iinfo, n, jtype, ioldsd
1895  info = abs( iinfo )
1896  IF( iinfo.LT.0 ) THEN
1897  return
1898  ELSE
1899  result( ntest ) = ulpinv
1900  result( ntest+1 ) = ulpinv
1901  result( ntest+2 ) = ulpinv
1902  go to 1170
1903  END IF
1904  END IF
1905 *
1906 * Do tests 45 and 46 (or ... )
1907 *
1908  CALL zlacpy( ' ', n, n, v, ldu, a, lda )
1909 *
1910  CALL zhet21( 1, uplo, n, 0, a, ldu, wa1, d2, z, ldu, v,
1911  \$ ldu, tau, work, rwork, result( ntest ) )
1912 *
1913  ntest = ntest + 2
1914  CALL zheevr( 'N', 'A', uplo, n, a, ldu, vl, vu, il, iu,
1915  \$ abstol, m2, wa2, z, ldu, iwork, work, lwork,
1916  \$ rwork, lrwork, iwork( 2*n+1 ), liwork-2*n,
1917  \$ iinfo )
1918  IF( iinfo.NE.0 ) THEN
1919  WRITE( nounit, fmt = 9999 )'ZHEEVR(N,A,' // uplo //
1920  \$ ')', iinfo, n, jtype, ioldsd
1921  info = abs( iinfo )
1922  IF( iinfo.LT.0 ) THEN
1923  return
1924  ELSE
1925  result( ntest ) = ulpinv
1926  go to 1170
1927  END IF
1928  END IF
1929 *
1930 * Do test 47 (or ... )
1931 *
1932  temp1 = zero
1933  temp2 = zero
1934  DO 1160 j = 1, n
1935  temp1 = max( temp1, abs( wa1( j ) ), abs( wa2( j ) ) )
1936  temp2 = max( temp2, abs( wa1( j )-wa2( j ) ) )
1937  1160 continue
1938  result( ntest ) = temp2 / max( unfl,
1939  \$ ulp*max( temp1, temp2 ) )
1940 *
1941  1170 continue
1942 *
1943  ntest = ntest + 1
1944  CALL zlacpy( ' ', n, n, v, ldu, a, lda )
1945  CALL zheevr( 'V', 'I', uplo, n, a, ldu, vl, vu, il, iu,
1946  \$ abstol, m2, wa2, z, ldu, iwork, work, lwork,
1947  \$ rwork, lrwork, iwork( 2*n+1 ), liwork-2*n,
1948  \$ iinfo )
1949  IF( iinfo.NE.0 ) THEN
1950  WRITE( nounit, fmt = 9999 )'ZHEEVR(V,I,' // uplo //
1951  \$ ')', iinfo, n, jtype, ioldsd
1952  info = abs( iinfo )
1953  IF( iinfo.LT.0 ) THEN
1954  return
1955  ELSE
1956  result( ntest ) = ulpinv
1957  result( ntest+1 ) = ulpinv
1958  result( ntest+2 ) = ulpinv
1959  go to 1180
1960  END IF
1961  END IF
1962 *
1963 * Do tests 48 and 49 (or +??)
1964 *
1965  CALL zlacpy( ' ', n, n, v, ldu, a, lda )
1966 *
1967  CALL zhet22( 1, uplo, n, m2, 0, a, ldu, wa2, d2, z, ldu,
1968  \$ v, ldu, tau, work, rwork, result( ntest ) )
1969 *
1970  ntest = ntest + 2
1971  CALL zlacpy( ' ', n, n, v, ldu, a, lda )
1972  CALL zheevr( 'N', 'I', uplo, n, a, ldu, vl, vu, il, iu,
1973  \$ abstol, m3, wa3, z, ldu, iwork, work, lwork,
1974  \$ rwork, lrwork, iwork( 2*n+1 ), liwork-2*n,
1975  \$ iinfo )
1976  IF( iinfo.NE.0 ) THEN
1977  WRITE( nounit, fmt = 9999 )'ZHEEVR(N,I,' // uplo //
1978  \$ ')', iinfo, n, jtype, ioldsd
1979  info = abs( iinfo )
1980  IF( iinfo.LT.0 ) THEN
1981  return
1982  ELSE
1983  result( ntest ) = ulpinv
1984  go to 1180
1985  END IF
1986  END IF
1987 *
1988 * Do test 50 (or +??)
1989 *
1990  temp1 = dsxt1( 1, wa2, m2, wa3, m3, abstol, ulp, unfl )
1991  temp2 = dsxt1( 1, wa3, m3, wa2, m2, abstol, ulp, unfl )
1992  result( ntest ) = ( temp1+temp2 ) /
1993  \$ max( unfl, ulp*temp3 )
1994  1180 continue
1995 *
1996  ntest = ntest + 1
1997  CALL zlacpy( ' ', n, n, v, ldu, a, lda )
1998  CALL zheevr( 'V', 'V', uplo, n, a, ldu, vl, vu, il, iu,
1999  \$ abstol, m2, wa2, z, ldu, iwork, work, lwork,
2000  \$ rwork, lrwork, iwork( 2*n+1 ), liwork-2*n,
2001  \$ iinfo )
2002  IF( iinfo.NE.0 ) THEN
2003  WRITE( nounit, fmt = 9999 )'ZHEEVR(V,V,' // uplo //
2004  \$ ')', iinfo, n, jtype, ioldsd
2005  info = abs( iinfo )
2006  IF( iinfo.LT.0 ) THEN
2007  return
2008  ELSE
2009  result( ntest ) = ulpinv
2010  result( ntest+1 ) = ulpinv
2011  result( ntest+2 ) = ulpinv
2012  go to 1190
2013  END IF
2014  END IF
2015 *
2016 * Do tests 51 and 52 (or +??)
2017 *
2018  CALL zlacpy( ' ', n, n, v, ldu, a, lda )
2019 *
2020  CALL zhet22( 1, uplo, n, m2, 0, a, ldu, wa2, d2, z, ldu,
2021  \$ v, ldu, tau, work, rwork, result( ntest ) )
2022 *
2023  ntest = ntest + 2
2024  CALL zlacpy( ' ', n, n, v, ldu, a, lda )
2025  CALL zheevr( 'N', 'V', uplo, n, a, ldu, vl, vu, il, iu,
2026  \$ abstol, m3, wa3, z, ldu, iwork, work, lwork,
2027  \$ rwork, lrwork, iwork( 2*n+1 ), liwork-2*n,
2028  \$ iinfo )
2029  IF( iinfo.NE.0 ) THEN
2030  WRITE( nounit, fmt = 9999 )'ZHEEVR(N,V,' // uplo //
2031  \$ ')', iinfo, n, jtype, ioldsd
2032  info = abs( iinfo )
2033  IF( iinfo.LT.0 ) THEN
2034  return
2035  ELSE
2036  result( ntest ) = ulpinv
2037  go to 1190
2038  END IF
2039  END IF
2040 *
2041  IF( m3.EQ.0 .AND. n.GT.0 ) THEN
2042  result( ntest ) = ulpinv
2043  go to 1190
2044  END IF
2045 *
2046 * Do test 52 (or +??)
2047 *
2048  temp1 = dsxt1( 1, wa2, m2, wa3, m3, abstol, ulp, unfl )
2049  temp2 = dsxt1( 1, wa3, m3, wa2, m2, abstol, ulp, unfl )
2050  IF( n.GT.0 ) THEN
2051  temp3 = max( abs( wa1( 1 ) ), abs( wa1( n ) ) )
2052  ELSE
2053  temp3 = zero
2054  END IF
2055  result( ntest ) = ( temp1+temp2 ) /
2056  \$ max( unfl, temp3*ulp )
2057 *
2058  CALL zlacpy( ' ', n, n, v, ldu, a, lda )
2059 *
2060 *
2061 *
2062 *
2063 * Load array V with the upper or lower triangular part
2064 * of the matrix in band form.
2065 *
2066  1190 continue
2067 *
2068  1200 continue
2069 *
2070 * End of Loop -- Check for RESULT(j) > THRESH
2071 *
2072  ntestt = ntestt + ntest
2073  CALL dlafts( 'ZST', n, n, jtype, ntest, result, ioldsd,
2074  \$ thresh, nounit, nerrs )
2075 *
2076  1210 continue
2077  1220 continue
2078 *
2079 * Summary
2080 *
2081  CALL alasvm( 'ZST', nounit, nerrs, ntestt, 0 )
2082 *
2083  9999 format( ' ZDRVST: ', a, ' returned INFO=', i6, / 9x, 'N=', i6,
2084  \$ ', JTYPE=', i6, ', ISEED=(', 3( i5, ',' ), i5, ')' )
2085  9998 format( ' ZDRVST: ', a, ' returned INFO=', i6, / 9x, 'N=', i6,
2086  \$ ', KD=', i6, ', JTYPE=', i6, ', ISEED=(', 3( i5, ',' ), i5,
2087  \$ ')' )
2088 *
2089  return
2090 *
2091 * End of ZDRVST
2092 *
2093  END