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SUBROUTINE PZSEPRTST(DESCA, UPLO, N, MATTYPE, SUBTESTS, THRESH,
$ ORDER, ABSTOL, ISEED, A, COPYA, Z, LDA, WIN,
$ WNEW, IFAIL, ICLUSTR, GAP, IPREPAD, IPOSTPAD,
$ WORK, LWORK, RWORK, LRWORK,
$ IWORK, LIWORK, HETERO, NOUT, INFO )
*
* -- ScaLAPACK routine (@(MODE)version *TBA*) --
* University of California, Berkeley and
* University of Tennessee, Knoxville.
* October 21, 2006
*
IMPLICIT NONE
*
* .. Scalar Arguments ..
CHARACTER HETERO, SUBTESTS, UPLO
INTEGER INFO, IPOSTPAD, IPREPAD, LDA, LIWORK, LWORK,
$ MATTYPE, N, NOUT, ORDER
INTEGER LRWORK
DOUBLE PRECISION ABSTOL, THRESH
* ..
* .. Array Arguments ..
INTEGER DESCA( * ), ICLUSTR( * ), IFAIL( * ),
$ ISEED( 4 ), IWORK( * )
DOUBLE PRECISION GAP( * ), WIN( * ), WNEW( * ), RWORK( * )
COMPLEX*16 A( LDA, * ), COPYA( LDA, * ),
$ WORK( * ), Z( LDA, * )
* ..
*
* Purpose
* =======
*
* PZSEPRTST builds a random matrix and runs PZHEEVR to
* compute the eigenvalues and eigenvectors. Then it performs two tests
* to determine if the result is good enough. The two tests are:
* |AQ -QL| / (abstol + ulp * norm(A) )
* and
* |QT * Q - I| / ulp * norm(A)
*
* The random matrix built depends upon the following parameters:
* N, NB, ISEED, ORDER
*
* Arguments
* =========
*
* NP = the number of rows local to a given process.
* NQ = the number of columns local to a given process.
*
* DESCA (global and local input) INTEGER array of dimension DLEN_
* The array descriptor for the distributed matrices
*
* UPLO (global input) CHARACTER*1
* Specifies whether the upper or lower triangular part of the
* matrix A is stored:
* = 'U': Upper triangular
* = 'L': Lower triangular
*
* N (global input) INTEGER
* Size of the matrix to be tested. (global size)
*
* MATTYPE (global input) INTEGER
* Matrix type
* Currently, the list of possible types is:
*
* (1) The zero matrix.
* (2) The identity matrix.
*
* (3) A diagonal matrix with evenly spaced entries
* 1, ..., ULP and random signs.
* (ULP = (first number larger than 1) - 1 )
* (4) A diagonal matrix with geometrically spaced entries
* 1, ..., ULP and random signs.
* (5) A diagonal matrix with "clustered" entries 1, ULP, ..., ULP
* and random signs.
*
* (6) Same as (4), but multiplied by SQRT( overflow threshold )
* (7) Same as (4), but multiplied by SQRT( underflow threshold )
*
* (8) A matrix of the form U' D U, where U is orthogonal and
* D has evenly spaced entries 1, ..., ULP with random signs
* on the diagonal.
*
* (9) A matrix of the form U' D U, where U is orthogonal and
* D has geometrically spaced entries 1, ..., ULP with random
* signs on the diagonal.
*
* (10) A matrix of the form U' D U, where U is orthogonal and
* D has "clustered" entries 1, ULP,..., ULP with random
* signs on the diagonal.
*
* (11) Same as (8), but multiplied by SQRT( overflow threshold )
* (12) Same as (8), but multiplied by SQRT( underflow threshold )
*
* (13) A matrix with random entries chosen from (-1,1).
* (14) Same as (13), but multiplied by SQRT( overflow threshold )
* (15) Same as (13), but multiplied by SQRT( underflow threshold )
* (16) Same as (8), but diagonal elements are all positive.
* (17) Same as (9), but diagonal elements are all positive.
* (18) Same as (10), but diagonal elements are all positive.
* (19) Same as (16), but multiplied by SQRT( overflow threshold )
* (20) Same as (16), but multiplied by SQRT( underflow threshold )
* (21) A tridiagonal matrix that is a direct sum of smaller diagonally
* dominant submatrices. Each unreduced submatrix has geometrically
* spaced diagonal entries 1, ..., ULP.
* (22) A matrix of the form U' D U, where U is orthogonal and
* D has ceil(lgN) "clusters" at 0,1,2,...,ceil(lgN)-1. The
* size of the cluster at the value I is 2^I.
*
* SUBTESTS (global input) CHARACTER*1
* 'Y' - Perform subset tests
* 'N' - Do not perform subset tests
*
* THRESH (global input) DOUBLE PRECISION
* A test will count as "failed" if the "error", computed as
* described below, 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.
*
* ORDER (global input) INTEGER
* Number of reflectors used in test matrix creation.
* If ORDER is large, it will
* take more time to create the test matrices but they will
* be closer to random.
* ORDER .lt. N not implemented
*
* ABSTOL (global input) DOUBLE PRECISION
* For the purposes of this test, ABSTOL=0.0 is fine.
* THis test does not test for high relative accuracy.
*
* ISEED (global input/output) INTEGER array, dimension (4)
* On entry, the seed of the random number generator; the array
* elements must be between 0 and 4095, and ISEED(4) must be
* odd.
* On exit, the seed is updated.
*
* A (local workspace) COMPLEX*16 array, dim (N*N)
* global dimension (N, N), local dimension (LDA, NQ)
* The test matrix, which is then overwritten.
* A is distributed in a block cyclic manner over both rows
* and columns. The actual location of a particular element
* in A is controlled by the values of NPROW, NPCOL, and NB.
*
* COPYA (local workspace) COMPLEX*16 array, dim (N, N)
* COPYA is used to hold an identical copy of the array A
* identical in both form and content to A
*
* Z (local workspace) COMPLEX*16 array, dim (N*N)
* Z is distributed in the same manner as A
* Z is used as workspace by the test routines
* PZSEPCHK and PZSEPQTQ
*
* W (local workspace) DOUBLE PRECISION array, dimension (N)
* On normal exit, the first M entries
* contain the selected eigenvalues in ascending order.
*
* IFAIL (global workspace) INTEGER array, dimension (N)
* Not used, only for backward compatibility
*
* WORK (local workspace) COMPLEX*16 array, dimension (LWORK)
*
* LWORK (local input) INTEGER
* The length of the array WORK. LWORK >= SIZETST as
* returned by PZLASIZESEPR
*
* RWORK (local workspace) DOUBLE PRECISION array, dimension (LRWORK)
*
* LRWORK (local input) INTEGER
* The length of the array WORK. LRWORK >= RSIZETST as
* returned by P@(CRPF)LASIZESEPR
*
* IWORK (local workspace) INTEGER array, dimension (LIWORK)
*
* LIWORK (local input) INTEGER
* The length of the array IWORK. LIWORK >= ISIZETST as
* returned by PZLASIZESEPR
*
* HETERO (input) INTEGER
*
* NOUT (local input) INTEGER
* The unit number for output file. Only used on node 0.
* NOUT = 6, output to screen,
* NOUT = 0, output to stderr.
* NOUT = 13, output to file, divide thresh by 10.0
* NOUT = 14, output to file, divide thresh by 20.0
* (This hack allows us to test more stringently internally
* so that when errors on found on other computers they will
* be serious enough to warrant our attention.)
*
* INFO (global output) INTEGER
* -3 This process is not involved
* 0 Test succeeded (passed |AQ -QL| and |QT*Q - I| tests)
* 1 At least one test failed
* 2 Residual test were not performed, thresh <= 0.0
* 3 Test was skipped because of inadequate memory space
*
* .. Parameters ..
INTEGER CTXT_, MB_, NB_, RSRC_, CSRC_, LLD_
PARAMETER ( CTXT_ = 2, MB_ = 5, NB_ = 6,
$ RSRC_ = 7, CSRC_ = 8, LLD_ = 9 )
DOUBLE PRECISION HALF, ONE, TEN, ZERO
PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0,
$ TEN = 10.0D0, HALF = 0.5D0 )
COMPLEX*16 PADVAL
PARAMETER ( PADVAL = ( 19.25D0, 1.1D1 ) )
COMPLEX*16 ZZERO
PARAMETER ( ZZERO = ( 0.0D0, 0.0D0 ) )
COMPLEX*16 ZONE
PARAMETER ( ZONE = ( 1.0D0, 0.0D0 ) )
INTEGER MAXTYP
PARAMETER ( MAXTYP = 22 )
* ..
*
* .. Local Scalars ..
LOGICAL WKNOWN
CHARACTER JOBZ, RANGE
CHARACTER*14 PASSED
INTEGER CONTEXT, I, IAM, IHETERO, IINFO, IL, IMODE, IN,
$ INDD, INDWORK, ISIZESUBTST, ISIZEEVR,
$ ISIZETST, ITYPE, IU, J, LLWORK, LEVRSIZE,
$ MAXSIZE, MYCOL, MYROW, NB, NGEN, NLOC,
$ NNODES, NP, NPCOL, NPROW, NQ, RES, SIZECHK,
$ SIZEMQRLEFT, SIZEMQRRIGHT, SIZEQRF, SIZEQTQ,
$ SIZESUBTST, SIZEEVR, SIZETMS,
$ SIZETST, VALSIZE, VECSIZE
INTEGER INDRWORK, LLRWORK, RSIZEEVR, RSIZESUBTST,
$ RSIZETST
DOUBLE PRECISION ANINV, ANORM, COND, MAXQTQNRM, MAXTSTNRM, OVFL,
$ QTQNRM, RTOVFL, RTUNFL, TEMP1, TSTNRM, ULP,
$ ULPINV, UNFL, VL, VU
* ..
* .. Local Arrays ..
INTEGER ISEEDIN( 4 ), KMAGN( MAXTYP ), KMODE( MAXTYP ),
$ KTYPE( MAXTYP )
DOUBLE PRECISION CTIME( 10 ), WTIME( 10 )
* ..
* .. External Functions ..
LOGICAL LSAME
INTEGER NUMROC
DOUBLE PRECISION DLARAN, PDLAMCH
EXTERNAL DLARAN, LSAME, NUMROC, PDLAMCH
* ..
* .. External Subroutines ..
EXTERNAL BLACS_GRIDINFO, BLACS_PINFO, DLABAD, DLASRT,
$ IGAMX2D, IGEBR2D, IGEBS2D, PZCHEKPAD, PZELSET,
$ PZFILLPAD, PZLASET, PZLASIZEHEEVR,
$ PZLASIZESEPR, PZLATMS, PZMATGEN, PZSEPRSUBTST,
$ SLCOMBINE, ZLATMS
* ..
* .. Intrinsic Functions ..
INTRINSIC ABS, DBLE, INT, MAX, MIN, SQRT
* ..
* .. Data statements ..
DATA KTYPE / 1, 2, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 8,
$ 8, 8, 9, 9, 9, 9, 9, 10, 11 /
DATA KMAGN / 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 3, 1,
$ 2, 3, 1, 1, 1, 2, 3, 1, 1 /
DATA KMODE / 0, 0, 4, 3, 1, 4, 4, 4, 3, 1, 4, 4, 0,
$ 0, 0, 4, 3, 1, 4, 4, 3, 0 /
* ..
* .. Executable Statements ..
*
INFO = 0
PASSED = 'PASSED EVR'
CONTEXT = DESCA( CTXT_ )
NB = DESCA( NB_ )
*
CALL BLACS_PINFO( IAM, NNODES )
CALL BLACS_GRIDINFO( CONTEXT, NPROW, NPCOL, MYROW, MYCOL )
*
* Distribute HETERO across processes
*
IF( IAM.EQ.0 ) THEN
IF( LSAME( HETERO, 'Y' ) ) THEN
IHETERO = 2
ELSE
IHETERO = 1
END IF
CALL IGEBS2D( CONTEXT, 'All', ' ', 1, 1, IHETERO, 1 )
ELSE
CALL IGEBR2D( CONTEXT, 'All', ' ', 1, 1, IHETERO, 1, 0, 0 )
END IF
IF( IHETERO.EQ.2 ) THEN
HETERO = 'Y'
ELSE
HETERO = 'N'
END IF
*
* Make sure that there is enough memory
*
CALL PZLASIZESEPR( DESCA, IPREPAD, IPOSTPAD, SIZEMQRLEFT,
$ SIZEMQRRIGHT, SIZEQRF, SIZETMS, SIZEQTQ,
$ SIZECHK, SIZEEVR, RSIZEEVR, ISIZEEVR,
$ SIZESUBTST, RSIZESUBTST,
$ ISIZESUBTST, SIZETST, RSIZETST, ISIZETST )
IF( LRWORK.LT.RSIZETST ) THEN
INFO = 3
END IF
*
CALL IGAMX2D( CONTEXT, 'a', ' ', 1, 1, INFO, 1, 1, 1, -1, -1, 0 )
*
IF( INFO.EQ.0 ) THEN
*
INDD = 1
INDRWORK = INDD + N
INDWORK = 1
LLWORK = LWORK - INDWORK + 1
LLRWORK = LRWORK - INDRWORK + 1
*
ULP = PDLAMCH( CONTEXT, 'P' )
ULPINV = ONE / ULP
UNFL = PDLAMCH( CONTEXT, 'Safe min' )
OVFL = ONE / UNFL
CALL DLABAD( UNFL, OVFL )
RTUNFL = SQRT( UNFL )
RTOVFL = SQRT( OVFL )
ANINV = ONE / DBLE( MAX( 1, N ) )
*
* This ensures that everyone starts out with the same seed.
*
IF( MYROW.EQ.0 .AND. MYCOL.EQ.0 ) THEN
CALL IGEBS2D( CONTEXT, 'a', ' ', 4, 1, ISEED, 4 )
ELSE
CALL IGEBR2D( CONTEXT, 'a', ' ', 4, 1, ISEED, 4, 0, 0 )
END IF
ISEEDIN( 1 ) = ISEED( 1 )
ISEEDIN( 2 ) = ISEED( 2 )
ISEEDIN( 3 ) = ISEED( 3 )
ISEEDIN( 4 ) = ISEED( 4 )
*
* Compute the matrix A
*
* Control parameters:
*
* KMAGN KMODE KTYPE
* =1 O(1) clustered 1 zero
* =2 large clustered 2 identity
* =3 small exponential (none)
* =4 arithmetic diagonal, (w/ eigenvalues)
* =5 random log Hermitian, w/ eigenvalues
* =6 random (none)
* =7 random diagonal
* =8 random Hermitian
* =9 positive definite
* =10 block diagonal with tridiagonal blocks
* =11 Geometrically sized clusters.
*
ITYPE = KTYPE( MATTYPE )
IMODE = KMODE( MATTYPE )
*
* Compute norm
*
GO TO ( 10, 20, 30 )KMAGN( MATTYPE )
*
10 CONTINUE
ANORM = ONE
GO TO 40
*
20 CONTINUE
ANORM = ( RTOVFL*ULP )*ANINV
GO TO 40
*
30 CONTINUE
ANORM = RTUNFL*N*ULPINV
GO TO 40
*
40 CONTINUE
IF( MATTYPE.LE.15 ) THEN
COND = ULPINV
ELSE
COND = ULPINV*ANINV / TEN
END IF
*
* Special Matrices
*
IF( ITYPE.EQ.1 ) THEN
*
* Zero Matrix
*
DO 50 I = 1, N
RWORK( INDD+I-1 ) = ZERO
50 CONTINUE
CALL PZLASET( 'All', N, N,ZZERO,ZZERO, COPYA, 1, 1, DESCA )
WKNOWN = .TRUE.
*
ELSE IF( ITYPE.EQ.2 ) THEN
*
* Identity Matrix
*
DO 60 I = 1, N
RWORK( INDD+I-1 ) = ONE
60 CONTINUE
CALL PZLASET( 'All', N, N,ZZERO,ZONE, COPYA, 1, 1, DESCA )
WKNOWN = .TRUE.
*
ELSE IF( ITYPE.EQ.4 ) THEN
*
* Diagonal Matrix, [Eigen]values Specified
*
CALL PZFILLPAD( DESCA( CTXT_ ), SIZETMS, 1, WORK( INDWORK ),
$ SIZETMS, IPREPAD, IPOSTPAD, PADVAL+1.0D0 )
*
CALL PZLATMS( N, N, 'S', ISEED, 'S',RWORK( INDD ), IMODE,
$ COND, ANORM, 0, 0, 'N', COPYA, 1, 1, DESCA,
$ ORDER, WORK( INDWORK+IPREPAD ), SIZETMS,
$ IINFO )
WKNOWN = .TRUE.
*
CALL PZCHEKPAD( DESCA( CTXT_ ), 'PZLATMS1-WORK', SIZETMS, 1,
$ WORK( INDWORK ), SIZETMS, IPREPAD, IPOSTPAD,
$ PADVAL+1.0D0 )
*
ELSE IF( ITYPE.EQ.5 ) THEN
*
* Hermitian, eigenvalues specified
*
CALL PZFILLPAD( DESCA( CTXT_ ), SIZETMS, 1, WORK( INDWORK ),
$ SIZETMS, IPREPAD, IPOSTPAD, PADVAL+2.0D0 )
*
CALL PZLATMS( N, N, 'S', ISEED, 'S',RWORK( INDD ), IMODE,
$ COND, ANORM, N, N, 'N', COPYA, 1, 1, DESCA,
$ ORDER, WORK( INDWORK+IPREPAD ), SIZETMS,
$ IINFO )
*
CALL PZCHEKPAD( DESCA( CTXT_ ), 'PZLATMS2-WORK', SIZETMS, 1,
$ WORK( INDWORK ), SIZETMS, IPREPAD, IPOSTPAD,
$ PADVAL+2.0D0 )
*
WKNOWN = .TRUE.
*
ELSE IF( ITYPE.EQ.8 ) THEN
*
* Hermitian, random eigenvalues
*
NP = NUMROC( N, DESCA( MB_ ), MYROW, 0, NPROW )
NQ = NUMROC( N, DESCA( NB_ ), MYCOL, 0, NPCOL )
CALL PZMATGEN( DESCA( CTXT_ ), 'H', 'N', N, N, DESCA( MB_ ),
$ DESCA( NB_ ), COPYA, DESCA( LLD_ ),
$ DESCA( RSRC_ ), DESCA( CSRC_ ), ISEED( 1 ),
$ 0, NP, 0, NQ, MYROW, MYCOL, NPROW, NPCOL )
INFO = 0
WKNOWN = .FALSE.
*
ELSE IF( ITYPE.EQ.9 ) THEN
*
* Positive definite, eigenvalues specified.
*
CALL PZFILLPAD( DESCA( CTXT_ ), SIZETMS, 1, WORK( INDWORK ),
$ SIZETMS, IPREPAD, IPOSTPAD, PADVAL+3.0D0 )
*
CALL PZLATMS( N, N, 'S', ISEED, 'S',RWORK( INDD ), IMODE,
$ COND, ANORM, N, N, 'N', COPYA, 1, 1, DESCA,
$ ORDER, WORK( INDWORK+IPREPAD ), SIZETMS,
$ IINFO )
*
WKNOWN = .TRUE.
*
CALL PZCHEKPAD( DESCA( CTXT_ ), 'PZLATMS3-WORK', SIZETMS, 1,
$ WORK( INDWORK ), SIZETMS, IPREPAD, IPOSTPAD,
$ PADVAL+3.0D0 )
*
ELSE IF( ITYPE.EQ.10 ) THEN
*
* Block diagonal matrix with each block being a positive
* definite tridiagonal submatrix.
*
CALL PZLASET( 'All', N, N,ZZERO,ZZERO, COPYA, 1, 1, DESCA )
NP = NUMROC( N, DESCA( MB_ ), 0, 0, NPROW )
NQ = NUMROC( N, DESCA( NB_ ), 0, 0, NPCOL )
NLOC = MIN( NP, NQ )
NGEN = 0
70 CONTINUE
*
IF( NGEN.LT.N ) THEN
IN = MIN( 1+INT( DLARAN( ISEED )*DBLE( NLOC ) ), N-NGEN )
*
CALL ZLATMS( IN, IN, 'S', ISEED, 'P',RWORK( INDD ),
$ IMODE, COND, ANORM, 1, 1, 'N', A, LDA,
$ WORK( INDWORK ), IINFO )
*
DO 80 I = 2, IN
TEMP1 = ABS( A( I-1, I ) ) /
$ SQRT( ABS( A( I-1, I-1 )*A( I, I ) ) )
IF( TEMP1.GT.HALF ) THEN
A( I-1, I ) = HALF*SQRT( ABS( A( I-1, I-1 )*A( I,
$ I ) ) )
A( I, I-1 ) = A( I-1, I )
END IF
80 CONTINUE
CALL PZELSET( COPYA, NGEN+1, NGEN+1, DESCA, A( 1, 1 ) )
DO 90 I = 2, IN
CALL PZELSET( COPYA, NGEN+I, NGEN+I, DESCA,
$ A( I, I ) )
CALL PZELSET( COPYA, NGEN+I-1, NGEN+I, DESCA,
$ A( I-1, I ) )
CALL PZELSET( COPYA, NGEN+I, NGEN+I-1, DESCA,
$ A( I, I-1 ) )
90 CONTINUE
NGEN = NGEN + IN
GO TO 70
END IF
WKNOWN = .FALSE.
*
ELSE IF( ITYPE.EQ.11 ) THEN
*
* Geometrically sized clusters. Eigenvalues: 0,1,1,2,2,2,2,...
*
NGEN = 0
J = 1
TEMP1 = ZERO
100 CONTINUE
IF( NGEN.LT.N ) THEN
IN = MIN( J, N-NGEN )
DO 110 I = 0, IN - 1
RWORK( INDD+NGEN+I ) = TEMP1
110 CONTINUE
TEMP1 = TEMP1 + ONE
J = 2*J
NGEN = NGEN + IN
GO TO 100
END IF
*
CALL PZFILLPAD( DESCA( CTXT_ ), SIZETMS, 1, WORK( INDWORK ),
$ SIZETMS, IPREPAD, IPOSTPAD, PADVAL+4.0D0 )
*
CALL PZLATMS( N, N, 'S', ISEED, 'S',RWORK( INDD ), IMODE,
$ COND, ANORM, 0, 0, 'N', COPYA, 1, 1, DESCA,
$ ORDER, WORK( INDWORK+IPREPAD ), SIZETMS,
$ IINFO )
*
CALL PZCHEKPAD( DESCA( CTXT_ ), 'PZLATMS4-WORK', SIZETMS, 1,
$ WORK( INDWORK ), SIZETMS, IPREPAD, IPOSTPAD,
$ PADVAL+4.0D0 )
*
ELSE
IINFO = 1
END IF
*
IF( WKNOWN )
$ CALL DLASRT( 'I', N,RWORK( INDD ), IINFO )
*
CALL PZLASIZEHEEVR( WKNOWN, 'A', N, DESCA, VL, VU, IL, IU,
$ ISEED,RWORK( INDD ), MAXSIZE, VECSIZE,
$ VALSIZE )
LEVRSIZE = MIN( MAXSIZE, LLRWORK )
*
CALL PZSEPRSUBTST( WKNOWN, 'v', 'a', UPLO, N, VL, VU, IL, IU,
$ THRESH, ABSTOL, A, COPYA, Z, 1, 1, DESCA,
$ RWORK( INDD ), WIN, IFAIL, ICLUSTR, GAP,
$ IPREPAD, IPOSTPAD, WORK( INDWORK ), LLWORK,
$ RWORK( INDRWORK ), LLRWORK,
$ LEVRSIZE, IWORK, ISIZEEVR, RES, TSTNRM,
$ QTQNRM, NOUT )
*
MAXTSTNRM = TSTNRM
MAXQTQNRM = QTQNRM
*
IF( THRESH.LE.ZERO ) THEN
PASSED = 'SKIPPED '
INFO = 2
ELSE IF( RES.NE.0 ) THEN
PASSED = 'FAILED '
INFO = 1
END IF
END IF
*
IF( THRESH.GT.ZERO .AND. LSAME( SUBTESTS, 'Y' ) ) THEN
*
* Subtest 1: JOBZ = 'N', RANGE = 'A', minimum memory
*
IF( INFO.EQ.0 ) THEN
*
JOBZ = 'N'
RANGE = 'A'
CALL PZLASIZEHEEVR( .TRUE., RANGE, N, DESCA, VL, VU, IL, IU,
$ ISEED, WIN( 1+IPREPAD ), MAXSIZE,
$ VECSIZE, VALSIZE )
*
LEVRSIZE = VALSIZE
*
CALL PZSEPRSUBTST( .TRUE., JOBZ, RANGE, UPLO, N, VL, VU, IL,
$ IU, THRESH, ABSTOL, A, COPYA, Z, 1, 1,
$ DESCA, WIN( 1+IPREPAD ), WNEW, IFAIL,
$ ICLUSTR, GAP, IPREPAD, IPOSTPAD,
$ WORK( INDWORK ), LLWORK,
$ RWORK, LRWORK, LEVRSIZE,
$ IWORK, ISIZEEVR, RES, TSTNRM, QTQNRM,
$ NOUT )
*
IF( RES.NE.0 ) THEN
MAXTSTNRM = MAX( TSTNRM, MAXTSTNRM )
MAXQTQNRM = MAX( QTQNRM, MAXQTQNRM )
PASSED = 'FAILED stest 1'
INFO = 1
END IF
END IF
*
* Subtest 2: JOBZ = 'N', RANGE = 'I', minimum memory
*
IF( INFO.EQ.0 ) THEN
*
IL = -1
IU = -1
JOBZ = 'N'
RANGE = 'I'
*
* Use PZLASIZEHEEVR to choose IL and IU.
*
CALL PZLASIZEHEEVR( .TRUE., RANGE, N, DESCA, VL, VU, IL, IU,
$ ISEED, WIN( 1+IPREPAD ), MAXSIZE,
$ VECSIZE, VALSIZE )
*
LEVRSIZE = VALSIZE
*
CALL PZSEPRSUBTST( .TRUE., JOBZ, RANGE, UPLO, N, VL, VU, IL,
$ IU, THRESH, ABSTOL, A, COPYA, Z, 1, 1,
$ DESCA, WIN( 1+IPREPAD ), WNEW, IFAIL,
$ ICLUSTR, GAP, IPREPAD, IPOSTPAD,
$ WORK( INDWORK ), LLWORK,
$ RWORK, LRWORK, LEVRSIZE,
$ IWORK, ISIZEEVR, RES, TSTNRM, QTQNRM,
$ NOUT )
*
IF( RES.NE.0 ) THEN
MAXTSTNRM = MAX( TSTNRM, MAXTSTNRM )
MAXQTQNRM = MAX( QTQNRM, MAXQTQNRM )
PASSED = 'FAILED stest 2'
INFO = 1
END IF
END IF
*
* Subtest 3: JOBZ = 'V', RANGE = 'I', minimum memory
*
IF( INFO.EQ.0 ) THEN
IL = -1
IU = -1
JOBZ = 'V'
RANGE = 'I'
*
* We use PZLASIZEHEEVR to choose IL and IU for us.
*
CALL PZLASIZEHEEVR( .TRUE., RANGE, N, DESCA, VL, VU, IL, IU,
$ ISEED, WIN( 1+IPREPAD ), MAXSIZE,
$ VECSIZE, VALSIZE )
*
LEVRSIZE = VECSIZE
*
CALL PZSEPRSUBTST( .TRUE., JOBZ, RANGE, UPLO, N, VL, VU, IL,
$ IU, THRESH, ABSTOL, A, COPYA, Z, 1, 1,
$ DESCA, WIN( 1+IPREPAD ), WNEW, IFAIL,
$ ICLUSTR, GAP, IPREPAD, IPOSTPAD,
$ WORK( INDWORK ), LLWORK,
$ RWORK, LRWORK, LEVRSIZE,
$ IWORK, ISIZEEVR, RES, TSTNRM, QTQNRM,
$ NOUT )
*
IF( RES.NE.0 ) THEN
MAXTSTNRM = MAX( TSTNRM, MAXTSTNRM )
MAXQTQNRM = MAX( QTQNRM, MAXQTQNRM )
PASSED = 'FAILED stest 3'
INFO = 1
END IF
END IF
*
* Subtest 4: JOBZ = 'N', RANGE = 'V', minimum memory
*
IF( INFO.EQ.0 ) THEN
VL = ONE
VU = -ONE
JOBZ = 'N'
RANGE = 'V'
*
* We use PZLASIZEHEEVR to choose IL and IU for us.
*
CALL PZLASIZEHEEVR( .TRUE., RANGE, N, DESCA, VL, VU, IL, IU,
$ ISEED, WIN( 1+IPREPAD ), MAXSIZE,
$ VECSIZE, VALSIZE )
*
LEVRSIZE = VALSIZE
*
CALL PZSEPRSUBTST( .TRUE., JOBZ, RANGE, UPLO, N, VL, VU, IL,
$ IU, THRESH, ABSTOL, A, COPYA, Z, 1, 1,
$ DESCA, WIN( 1+IPREPAD ), WNEW, IFAIL,
$ ICLUSTR, GAP, IPREPAD, IPOSTPAD,
$ WORK( INDWORK ), LLWORK,
$ RWORK, LRWORK, LEVRSIZE,
$ IWORK, ISIZEEVR, RES, TSTNRM, QTQNRM,
$ NOUT )
*
IF( RES.NE.0 ) THEN
MAXTSTNRM = MAX( TSTNRM, MAXTSTNRM )
MAXQTQNRM = MAX( QTQNRM, MAXQTQNRM )
PASSED = 'FAILED stest 4'
INFO = 1
END IF
END IF
*
* Subtest 5: JOBZ = 'V', RANGE = 'V', minimum memory
*
IF( INFO.EQ.0 ) THEN
VL = ONE
VU = -ONE
JOBZ = 'V'
RANGE = 'V'
*
* We use PZLASIZEHEEVR to choose VL and VU for us.
*
CALL PZLASIZEHEEVR( .TRUE., RANGE, N, DESCA, VL, VU, IL, IU,
$ ISEED, WIN( 1+IPREPAD ), MAXSIZE,
$ VECSIZE, VALSIZE )
*
LEVRSIZE = VECSIZE
*
CALL PZSEPRSUBTST( .TRUE., JOBZ, RANGE, UPLO, N, VL, VU, IL,
$ IU, THRESH, ABSTOL, A, COPYA, Z, 1, 1,
$ DESCA, WIN( 1+IPREPAD ), WNEW, IFAIL,
$ ICLUSTR, GAP, IPREPAD, IPOSTPAD,
$ WORK( INDWORK ), LLWORK,
$ RWORK, LRWORK, LEVRSIZE,
$ IWORK, ISIZEEVR, RES, TSTNRM, QTQNRM,
$ NOUT )
*
IF( RES.NE.0 ) THEN
MAXTSTNRM = MAX( TSTNRM, MAXTSTNRM )
MAXQTQNRM = MAX( QTQNRM, MAXQTQNRM )
PASSED = 'FAILED stest 5'
INFO = 1
END IF
END IF
END IF
*
CALL IGAMX2D( CONTEXT, 'All', ' ', 1, 1, INFO, 1, -1, -1, -1, -1,
$ -1 )
IF( INFO.EQ.1 ) THEN
IF( IAM.EQ.0 .AND. .FALSE. ) THEN
WRITE( NOUT, FMT = 9994 )'C '
WRITE( NOUT, FMT = 9993 )ISEEDIN( 1 )
WRITE( NOUT, FMT = 9992 )ISEEDIN( 2 )
WRITE( NOUT, FMT = 9991 )ISEEDIN( 3 )
WRITE( NOUT, FMT = 9990 )ISEEDIN( 4 )
IF( LSAME( UPLO, 'L' ) ) THEN
WRITE( NOUT, FMT = 9994 )' UPLO= ''L'' '
ELSE
WRITE( NOUT, FMT = 9994 )' UPLO= ''U'' '
END IF
IF( LSAME( SUBTESTS, 'Y' ) ) THEN
WRITE( NOUT, FMT = 9994 )' SUBTESTS= ''Y'' '
ELSE
WRITE( NOUT, FMT = 9994 )' SUBTESTS= ''N'' '
END IF
WRITE( NOUT, FMT = 9989 )N
WRITE( NOUT, FMT = 9988 )NPROW
WRITE( NOUT, FMT = 9987 )NPCOL
WRITE( NOUT, FMT = 9986 )NB
WRITE( NOUT, FMT = 9985 )MATTYPE
WRITE( NOUT, FMT = 9982 )ABSTOL
WRITE( NOUT, FMT = 9981 )THRESH
WRITE( NOUT, FMT = 9994 )'C '
END IF
END IF
*
CALL SLCOMBINE( CONTEXT, 'All', '>', 'W', 6, 1, WTIME )
CALL SLCOMBINE( CONTEXT, 'All', '>', 'C', 6, 1, CTIME )
IF( IAM.EQ.0 ) THEN
IF( INFO.EQ.0 .OR. INFO.EQ.1 ) THEN
IF( WTIME( 1 ).GE.0.0 ) THEN
WRITE( NOUT, FMT = 9999 )N, NB, NPROW, NPCOL, MATTYPE,
$ SUBTESTS, WTIME( 1 ), CTIME( 1 ), MAXTSTNRM,
$ MAXQTQNRM, PASSED
ELSE
WRITE( NOUT, FMT = 9998 )N, NB, NPROW, NPCOL, MATTYPE,
$ SUBTESTS, CTIME( 1 ), MAXTSTNRM, MAXQTQNRM, PASSED
END IF
ELSE IF( INFO.EQ.2 ) THEN
IF( WTIME( 1 ).GE.0.0 ) THEN
WRITE( NOUT, FMT = 9997 )N, NB, NPROW, NPCOL, MATTYPE,
$ SUBTESTS, WTIME( 1 ), CTIME( 1 )
ELSE
WRITE( NOUT, FMT = 9996 )N, NB, NPROW, NPCOL, MATTYPE,
$ SUBTESTS, CTIME( 1 )
END IF
ELSE IF( INFO.EQ.3 ) THEN
WRITE( NOUT, FMT = 9995 )N, NB, NPROW, NPCOL, MATTYPE,
$ SUBTESTS
END IF
C WRITE(*,*)'************************************************'
END IF
*
RETURN
9999 FORMAT( 1X, I5, 1X, I3, 1X, I3, 1X, I3, 1X, I3, 3X, A1, 1X,
$ F8.2, 1X, F8.2, 1X, G9.2, 1X, G9.2, 1X, A14 )
9998 FORMAT( 1X, I5, 1X, I3, 1X, I3, 1X, I3, 1X, I3, 3X, A1, 1X, 8X,
$ 1X, F8.2, 1X, G9.2, 1X, G9.2, A14 )
9997 FORMAT( 1X, I5, 1X, I3, 1X, I3, 1X, I3, 1X, I3, 3X, A1, 1X, F8.2,
$ 1X, F8.2, 21X, 'Bypassed' )
9996 FORMAT( 1X, I5, 1X, I3, 1X, I3, 1X, I3, 1X, I3, 3X, A1, 1X, 8X,
$ 1X, F8.2, 21X, 'Bypassed' )
9995 FORMAT( 1X, I5, 1X, I3, 1X, I3, 1X, I3, 1X, I3, 3X, A1, 32X,
$ 'Bad MEMORY parameters' )
9994 FORMAT( A )
9993 FORMAT( ' ISEED( 1 ) =', I8 )
9992 FORMAT( ' ISEED( 2 ) =', I8 )
9991 FORMAT( ' ISEED( 3 ) =', I8 )
9990 FORMAT( ' ISEED( 4 ) =', I8 )
9989 FORMAT( ' N=', I8 )
9988 FORMAT( ' NPROW=', I8 )
9987 FORMAT( ' NPCOL=', I8 )
9986 FORMAT( ' NB=', I8 )
9985 FORMAT( ' MATTYPE=', I8 )
C 9984 FORMAT( ' IBTYPE=', I8 )
C 9983 FORMAT( ' SUBTESTS=', A1 )
9982 FORMAT( ' ABSTOL=', D16.6 )
9981 FORMAT( ' THRESH=', D16.6 )
C 9980 FORMAT( ' Increase TOTMEM in PZSEPRDRIVER' )
*
* End of PZSEPRTST
*
END
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