*> \brief \b ZBLAT3
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* PROGRAM ZBLAT3
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> Test program for the COMPLEX *16 Level 3 Blas.
*>
*> The program must be driven by a short data file . The first 14 records
*> of the file are read using list-directed input, the last 9 records
*> are read using the format ( A6, L2 ). An annotated example of a data
*> file can be obtained by deleting the first 3 characters from the
*> following 23 lines:
*> 'zblat3.out' NAME OF SUMMARY OUTPUT FILE
*> 6 UNIT NUMBER OF SUMMARY FILE
*> 'ZBLAT3.SNAP' NAME OF SNAPSHOT OUTPUT FILE
*> -1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0)
*> F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD.
*> F LOGICAL FLAG, T TO STOP ON FAILURES.
*> T LOGICAL FLAG, T TO TEST ERROR EXITS.
*> 16.0 THRESHOLD VALUE OF TEST RATIO
*> 6 NUMBER OF VALUES OF N
*> 0 1 2 3 5 9 VALUES OF N
*> 3 NUMBER OF VALUES OF ALPHA
*> (0.0,0.0) (1.0,0.0) (0.7,-0.9) VALUES OF ALPHA
*> 3 NUMBER OF VALUES OF BETA
*> (0.0,0.0) (1.0,0.0) (1.3,-1.1) VALUES OF BETA
*> ZGEMM T PUT F FOR NO TEST. SAME COLUMNS.
*> ZHEMM T PUT F FOR NO TEST. SAME COLUMNS.
*> ZSYMM T PUT F FOR NO TEST. SAME COLUMNS.
*> ZTRMM T PUT F FOR NO TEST. SAME COLUMNS.
*> ZTRSM T PUT F FOR NO TEST. SAME COLUMNS.
*> ZHERK T PUT F FOR NO TEST. SAME COLUMNS.
*> ZSYRK T PUT F FOR NO TEST. SAME COLUMNS.
*> ZHER2K T PUT F FOR NO TEST. SAME COLUMNS.
*> ZSYR2K T PUT F FOR NO TEST. SAME COLUMNS.
*>
*>
*> Further Details
*> ===============
*>
*> See:
*>
*> Dongarra J. J., Du Croz J. J., Duff I. S. and Hammarling S.
*> A Set of Level 3 Basic Linear Algebra Subprograms.
*>
*> Technical Memorandum No.88 (Revision 1), Mathematics and
*> Computer Science Division, Argonne National Laboratory, 9700
*> South Cass Avenue, Argonne, Illinois 60439, US.
*>
*> -- Written on 8-February-1989.
*> Jack Dongarra, Argonne National Laboratory.
*> Iain Duff, AERE Harwell.
*> Jeremy Du Croz, Numerical Algorithms Group Ltd.
*> Sven Hammarling, Numerical Algorithms Group Ltd.
*>
*> 10-9-00: Change STATUS ='NEW' to 'UNKNOWN' so that the testers
*> can be run multiple times without deleting generated
*> output files (susan)
*> \endverbatim
*
* Authors:
* ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \date April 2012
*
*> \ingroup complex16_blas_testing
*
* =====================================================================
PROGRAM ZBLAT3
*
* -- Reference BLAS test routine (version 3.4.1) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
* April 2012
*
* =====================================================================
*
* .. Parameters ..
INTEGER NIN
PARAMETER ( NIN = 5 )
INTEGER NSUBS
PARAMETER ( NSUBS = 9 )
COMPLEX *16 ZERO, ONE
PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
$ ONE = ( 1.0D0, 0.0D0 ) )
DOUBLE PRECISION RZERO
PARAMETER ( RZERO = 0.0D0 )
INTEGER NMAX
PARAMETER ( NMAX = 65 )
INTEGER NIDMAX, NALMAX, NBEMAX
PARAMETER ( NIDMAX = 9, NALMAX = 7, NBEMAX = 7 )
* .. Local Scalars ..
DOUBLE PRECISION EPS, ERR , THRESH
INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NOUT, NTRA
LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE,
$ TSTERR
CHARACTER *1 TRANSA, TRANSB
CHARACTER *6 SNAMET
CHARACTER *32 SNAPS, SUMMRY
* .. Local Arrays ..
COMPLEX *16 AA( NMAX*NMAX ), AB( NMAX, 2*NMAX ),
$ ALF( NALMAX ), AS( NMAX*NMAX ),
$ BB( NMAX*NMAX ), BET( NBEMAX ),
$ BS( NMAX*NMAX ), C( NMAX, NMAX ),
$ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ),
$ W( 2*NMAX )
DOUBLE PRECISION G( NMAX )
INTEGER IDIM( NIDMAX )
LOGICAL LTEST( NSUBS )
CHARACTER *6 SNAMES( NSUBS )
* .. External Functions ..
DOUBLE PRECISION DDIFF
LOGICAL LZE
EXTERNAL DDIFF, LZE
* .. External Subroutines ..
EXTERNAL ZCHK1, ZCHK2, ZCHK3, ZCHK4, ZCHK5, ZCHKE, ZMMCH
* .. Intrinsic Functions ..
INTRINSIC MAX, MIN
* .. Scalars in Common ..
INTEGER INFOT, NOUTC
LOGICAL LERR, OK
CHARACTER *6 SRNAMT
* .. Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK, LERR
COMMON /SRNAMC/SRNAMT
* .. Data statements ..
DATA SNAMES/'ZGEMM ' , 'ZHEMM ' , 'ZSYMM ' , 'ZTRMM ' ,
$ 'ZTRSM ' , 'ZHERK ' , 'ZSYRK ' , 'ZHER2K' ,
$ 'ZSYR2K' /
* .. Executable Statements ..
*
* Read name and unit number for summary output file and open file .
*
READ ( NIN, FMT = * )SUMMRY
READ ( NIN, FMT = * )NOUT
OPEN ( NOUT, FILE = SUMMRY, STATUS = 'UNKNOWN' )
NOUTC = NOUT
*
* Read name and unit number for snapshot output file and open file .
*
READ ( NIN, FMT = * )SNAPS
READ ( NIN, FMT = * )NTRA
TRACE = NTRA.GE.0
IF ( TRACE )THEN
OPEN ( NTRA, FILE = SNAPS, STATUS = 'UNKNOWN' )
END IF
* Read the flag that directs rewinding of the snapshot file .
READ ( NIN, FMT = * )REWI
REWI = REWI.AND.TRACE
* Read the flag that directs stopping on any failure.
READ ( NIN, FMT = * )SFATAL
* Read the flag that indicates whether error exits are to be tested.
READ ( NIN, FMT = * )TSTERR
* Read the threshold value of the test ratio
READ ( NIN, FMT = * )THRESH
*
* Read and check the parameter values for the tests.
*
* Values of N
READ ( NIN, FMT = * )NIDIM
IF ( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN
WRITE ( NOUT, FMT = 9997 )'N' , NIDMAX
GO TO 220
END IF
READ ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM )
DO 10 I = 1, NIDIM
IF ( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN
WRITE ( NOUT, FMT = 9996 )NMAX
GO TO 220
END IF
10 CONTINUE
* Values of ALPHA
READ ( NIN, FMT = * )NALF
IF ( NALF.LT.1.OR.NALF.GT.NALMAX )THEN
WRITE ( NOUT, FMT = 9997 )'ALPHA' , NALMAX
GO TO 220
END IF
READ ( NIN, FMT = * )( ALF( I ), I = 1, NALF )
* Values of BETA
READ ( NIN, FMT = * )NBET
IF ( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN
WRITE ( NOUT, FMT = 9997 )'BETA' , NBEMAX
GO TO 220
END IF
READ ( NIN, FMT = * )( BET( I ), I = 1, NBET )
*
* Report values of parameters.
*
WRITE ( NOUT, FMT = 9995 )
WRITE ( NOUT, FMT = 9994 )( IDIM( I ), I = 1, NIDIM )
WRITE ( NOUT, FMT = 9993 )( ALF( I ), I = 1, NALF )
WRITE ( NOUT, FMT = 9992 )( BET( I ), I = 1, NBET )
IF ( .NOT.TSTERR )THEN
WRITE ( NOUT, FMT = * )
WRITE ( NOUT, FMT = 9984 )
END IF
WRITE ( NOUT, FMT = * )
WRITE ( NOUT, FMT = 9999 )THRESH
WRITE ( NOUT, FMT = * )
*
* Read names of subroutines and flags which indicate
* whether they are to be tested.
*
DO 20 I = 1, NSUBS
LTEST( I ) = .FALSE .
20 CONTINUE
30 READ ( NIN, FMT = 9988, END = 60 )SNAMET, LTESTT
DO 40 I = 1, NSUBS
IF ( SNAMET.EQ.SNAMES( I ) )
$ GO TO 50
40 CONTINUE
WRITE ( NOUT, FMT = 9990 )SNAMET
STOP
50 LTEST( I ) = LTESTT
GO TO 30
*
60 CONTINUE
CLOSE ( NIN )
*
* Compute EPS (the machine precision ).
*
EPS = EPSILON(RZERO)
WRITE ( NOUT, FMT = 9998 )EPS
*
* Check the reliability of ZMMCH using exact data .
*
N = MIN( 32, NMAX )
DO 100 J = 1, N
DO 90 I = 1, N
AB( I, J ) = MAX( I - J + 1, 0 )
90 CONTINUE
AB( J, NMAX + 1 ) = J
AB( 1, NMAX + J ) = J
C( J, 1 ) = ZERO
100 CONTINUE
DO 110 J = 1, N
CC( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3
110 CONTINUE
* CC holds the exact result. On exit from ZMMCH CT holds
* the result computed by ZMMCH.
TRANSA = 'N'
TRANSB = 'N'
CALL ZMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
$ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
$ NMAX, EPS, ERR , FATAL, NOUT, .TRUE . )
SAME = LZE( CC, CT, N )
IF ( .NOT.SAME.OR.ERR .NE.RZERO )THEN
WRITE ( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
STOP
END IF
TRANSB = 'C'
CALL ZMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
$ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
$ NMAX, EPS, ERR , FATAL, NOUT, .TRUE . )
SAME = LZE( CC, CT, N )
IF ( .NOT.SAME.OR.ERR .NE.RZERO )THEN
WRITE ( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
STOP
END IF
DO 120 J = 1, N
AB( J, NMAX + 1 ) = N - J + 1
AB( 1, NMAX + J ) = N - J + 1
120 CONTINUE
DO 130 J = 1, N
CC( N - J + 1 ) = J*( ( J + 1 )*J )/2 -
$ ( ( J + 1 )*J*( J - 1 ) )/3
130 CONTINUE
TRANSA = 'C'
TRANSB = 'N'
CALL ZMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
$ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
$ NMAX, EPS, ERR , FATAL, NOUT, .TRUE . )
SAME = LZE( CC, CT, N )
IF ( .NOT.SAME.OR.ERR .NE.RZERO )THEN
WRITE ( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
STOP
END IF
TRANSB = 'C'
CALL ZMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX,
$ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC,
$ NMAX, EPS, ERR , FATAL, NOUT, .TRUE . )
SAME = LZE( CC, CT, N )
IF ( .NOT.SAME.OR.ERR .NE.RZERO )THEN
WRITE ( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR
STOP
END IF
*
* Test each subroutine in turn.
*
DO 200 ISNUM = 1, NSUBS
WRITE ( NOUT, FMT = * )
IF ( .NOT.LTEST( ISNUM ) )THEN
* Subprogram is not to be tested.
WRITE ( NOUT, FMT = 9987 )SNAMES( ISNUM )
ELSE
SRNAMT = SNAMES( ISNUM )
* Test error exits.
IF ( TSTERR )THEN
CALL ZCHKE( ISNUM, SNAMES( ISNUM ), NOUT )
WRITE ( NOUT, FMT = * )
END IF
* Test computations.
INFOT = 0
OK = .TRUE .
FATAL = .FALSE .
GO TO ( 140, 150, 150, 160, 160, 170, 170,
$ 180, 180 )ISNUM
* Test ZGEMM, 01.
140 CALL ZCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
$ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
$ CC, CS, CT, G )
GO TO 190
* Test ZHEMM, 02, ZSYMM, 03.
150 CALL ZCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
$ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
$ CC, CS, CT, G )
GO TO 190
* Test ZTRMM, 04, ZTRSM, 05.
160 CALL ZCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NMAX, AB,
$ AA, AS, AB( 1, NMAX + 1 ), BB, BS, CT, G, C )
GO TO 190
* Test ZHERK, 06, ZSYRK, 07.
170 CALL ZCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
$ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C,
$ CC, CS, CT, G )
GO TO 190
* Test ZHER2K, 08, ZSYR2K, 09.
180 CALL ZCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET,
$ NMAX, AB, AA, AS, BB, BS, C, CC, CS, CT, G, W )
GO TO 190
*
190 IF ( FATAL.AND.SFATAL )
$ GO TO 210
END IF
200 CONTINUE
WRITE ( NOUT, FMT = 9986 )
GO TO 230
*
210 CONTINUE
WRITE ( NOUT, FMT = 9985 )
GO TO 230
*
220 CONTINUE
WRITE ( NOUT, FMT = 9991 )
*
230 CONTINUE
IF ( TRACE )
$ CLOSE ( NTRA )
CLOSE ( NOUT )
STOP
*
9999 FORMAT ( ' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES' ,
$ 'S THAN' , F8.2 )
9998 FORMAT ( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE' , 1P, D9.1 )
9997 FORMAT ( ' NUMBER OF VALUES OF ' , A, ' IS LESS THAN 1 OR GREATER ' ,
$ 'THAN ' , I2 )
9996 FORMAT ( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ' , I2 )
9995 FORMAT ( ' TESTS OF THE COMPLEX*16 LEVEL 3 BLAS' , //' THE F' ,
$ 'OLLOWING PARAMETER VALUES WILL BE USED:' )
9994 FORMAT ( ' FOR N ' , 9I6 )
9993 FORMAT ( ' FOR ALPHA ' ,
$ 7( '(' , F4.1, ',' , F4.1, ') ' , : ) )
9992 FORMAT ( ' FOR BETA ' ,
$ 7( '(' , F4.1, ',' , F4.1, ') ' , : ) )
9991 FORMAT ( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM' ,
$ /' ******* TESTS ABANDONED *******' )
9990 FORMAT ( ' SUBPROGRAM NAME ' , A6, ' NOT RECOGNIZED' , /' ******* T' ,
$ 'ESTS ABANDONED *******' )
9989 FORMAT ( ' ERROR IN ZMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALU' ,
$ 'ATED WRONGLY.' , /' ZMMCH WAS CALLED WITH TRANSA = ' , A1,
$ ' AND TRANSB = ' , A1, /' AND RETURNED SAME = ' , L1, ' AND ' ,
$ 'ERR = ' , F12.3, '.' , /' THIS MAY BE DUE TO FAULTS IN THE ' ,
$ 'ARITHMETIC OR THE COMPILER.' , /' ******* TESTS ABANDONED ' ,
$ '*******' )
9988 FORMAT ( A6, L2 )
9987 FORMAT ( 1X, A6, ' WAS NOT TESTED' )
9986 FORMAT ( /' END OF TESTS' )
9985 FORMAT ( /' ******* FATAL ERROR - TESTS ABANDONED *******' )
9984 FORMAT ( ' ERROR-EXITS WILL NOT BE TESTED' )
*
* End of ZBLAT3.
*
END
SUBROUTINE ZCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
$ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
$ A, AA, AS, B, BB, BS, C, CC, CS, CT, G )
*
* Tests ZGEMM.
*
* Auxiliary routine for test program for Level 3 Blas.
*
* -- Written on 8-February-1989.
* Jack Dongarra, Argonne National Laboratory.
* Iain Duff, AERE Harwell.
* Jeremy Du Croz, Numerical Algorithms Group Ltd.
* Sven Hammarling, Numerical Algorithms Group Ltd.
*
* .. Parameters ..
COMPLEX *16 ZERO
PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) )
DOUBLE PRECISION RZERO
PARAMETER ( RZERO = 0.0D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA
LOGICAL FATAL, REWI, TRACE
CHARACTER *6 SNAME
* .. Array Arguments ..
COMPLEX *16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), B( NMAX, NMAX ),
$ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ),
$ C( NMAX, NMAX ), CC( NMAX*NMAX ),
$ CS( NMAX*NMAX ), CT( NMAX )
DOUBLE PRECISION G( NMAX )
INTEGER IDIM( NIDIM )
* .. Local Scalars ..
COMPLEX *16 ALPHA, ALS, BETA, BLS
DOUBLE PRECISION ERR , ERRMAX
INTEGER I, IA, IB, ICA, ICB, IK, IM, IN , K, KS, LAA,
$ LBB, LCC, LDA, LDAS, LDB, LDBS, LDC, LDCS, M,
$ MA, MB, MS, N, NA , NARGS, NB, NC, NS
LOGICAL NULL , RESET, SAME, TRANA, TRANB
CHARACTER *1 TRANAS, TRANBS, TRANSA, TRANSB
CHARACTER *3 ICH
* .. Local Arrays ..
LOGICAL ISAME( 13 )
* .. External Functions ..
LOGICAL LZE, LZERES
EXTERNAL LZE, LZERES
* .. External Subroutines ..
EXTERNAL ZGEMM, ZMAKE, ZMMCH
* .. Intrinsic Functions ..
INTRINSIC MAX
* .. Scalars in Common ..
INTEGER INFOT, NOUTC
LOGICAL LERR, OK
* .. Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK, LERR
* .. Data statements ..
DATA ICH/'NTC' /
* .. Executable Statements ..
*
NARGS = 13
NC = 0
RESET = .TRUE .
ERRMAX = RZERO
*
DO 110 IM = 1, NIDIM
M = IDIM( IM )
*
DO 100 IN = 1, NIDIM
N = IDIM( IN )
* Set LDC to 1 more than minimum value if room.
LDC = M
IF ( LDC.LT.NMAX )
$ LDC = LDC + 1
* Skip tests if not enough room.
IF ( LDC.GT.NMAX )
$ GO TO 100
LCC = LDC*N
NULL = N.LE.0.OR.M.LE.0
*
DO 90 IK = 1, NIDIM
K = IDIM( IK )
*
DO 80 ICA = 1, 3
TRANSA = ICH( ICA: ICA )
TRANA = TRANSA.EQ.'T' .OR.TRANSA.EQ.'C'
*
IF ( TRANA )THEN
MA = K
NA = M
ELSE
MA = M
NA = K
END IF
* Set LDA to 1 more than minimum value if room.
LDA = MA
IF ( LDA.LT.NMAX )
$ LDA = LDA + 1
* Skip tests if not enough room.
IF ( LDA.GT.NMAX )
$ GO TO 80
LAA = LDA*NA
*
* Generate the matrix A.
*
CALL ZMAKE( 'GE' , ' ' , ' ' , MA, NA , A, NMAX, AA, LDA,
$ RESET, ZERO )
*
DO 70 ICB = 1, 3
TRANSB = ICH( ICB: ICB )
TRANB = TRANSB.EQ.'T' .OR.TRANSB.EQ.'C'
*
IF ( TRANB )THEN
MB = N
NB = K
ELSE
MB = K
NB = N
END IF
* Set LDB to 1 more than minimum value if room.
LDB = MB
IF ( LDB.LT.NMAX )
$ LDB = LDB + 1
* Skip tests if not enough room.
IF ( LDB.GT.NMAX )
$ GO TO 70
LBB = LDB*NB
*
* Generate the matrix B.
*
CALL ZMAKE( 'GE' , ' ' , ' ' , MB, NB, B, NMAX, BB,
$ LDB, RESET, ZERO )
*
DO 60 IA = 1, NALF
ALPHA = ALF( IA )
*
DO 50 IB = 1, NBET
BETA = BET( IB )
*
* Generate the matrix C.
*
CALL ZMAKE( 'GE' , ' ' , ' ' , M, N, C, NMAX,
$ CC, LDC, RESET, ZERO )
*
NC = NC + 1
*
* Save every datum before calling the
* subroutine .
*
TRANAS = TRANSA
TRANBS = TRANSB
MS = M
NS = N
KS = K
ALS = ALPHA
DO 10 I = 1, LAA
AS( I ) = AA( I )
10 CONTINUE
LDAS = LDA
DO 20 I = 1, LBB
BS( I ) = BB( I )
20 CONTINUE
LDBS = LDB
BLS = BETA
DO 30 I = 1, LCC
CS( I ) = CC( I )
30 CONTINUE
LDCS = LDC
*
* Call the subroutine .
*
IF ( TRACE )
$ WRITE ( NTRA, FMT = 9995 )NC, SNAME,
$ TRANSA, TRANSB, M, N, K, ALPHA, LDA, LDB,
$ BETA, LDC
IF ( REWI )
$ REWIND NTRA
CALL ZGEMM( TRANSA, TRANSB, M, N, K, ALPHA,
$ AA, LDA, BB, LDB, BETA, CC, LDC )
*
* Check if error-exit was taken incorrectly.
*
IF ( .NOT.OK )THEN
WRITE ( NOUT, FMT = 9994 )
FATAL = .TRUE .
GO TO 120
END IF
*
* See what data changed inside subroutines.
*
ISAME( 1 ) = TRANSA.EQ.TRANAS
ISAME( 2 ) = TRANSB.EQ.TRANBS
ISAME( 3 ) = MS.EQ.M
ISAME( 4 ) = NS.EQ.N
ISAME( 5 ) = KS.EQ.K
ISAME( 6 ) = ALS.EQ.ALPHA
ISAME( 7 ) = LZE( AS, AA, LAA )
ISAME( 8 ) = LDAS.EQ.LDA
ISAME( 9 ) = LZE( BS, BB, LBB )
ISAME( 10 ) = LDBS.EQ.LDB
ISAME( 11 ) = BLS.EQ.BETA
IF ( NULL )THEN
ISAME( 12 ) = LZE( CS, CC, LCC )
ELSE
ISAME( 12 ) = LZERES( 'GE' , ' ' , M, N, CS,
$ CC, LDC )
END IF
ISAME( 13 ) = LDCS.EQ.LDC
*
* If data was incorrectly changed, report
* and return .
*
SAME = .TRUE .
DO 40 I = 1, NARGS
SAME = SAME.AND.ISAME( I )
IF ( .NOT.ISAME( I ) )
$ WRITE ( NOUT, FMT = 9998 )I
40 CONTINUE
IF ( .NOT.SAME )THEN
FATAL = .TRUE .
GO TO 120
END IF
*
IF ( .NOT.NULL )THEN
*
* Check the result.
*
CALL ZMMCH( TRANSA, TRANSB, M, N, K,
$ ALPHA, A, NMAX, B, NMAX, BETA,
$ C, NMAX, CT, G, CC, LDC, EPS,
$ ERR , FATAL, NOUT, .TRUE . )
ERRMAX = MAX( ERRMAX, ERR )
* If got really bad answer, report and
* return .
IF ( FATAL )
$ GO TO 120
END IF
*
50 CONTINUE
*
60 CONTINUE
*
70 CONTINUE
*
80 CONTINUE
*
90 CONTINUE
*
100 CONTINUE
*
110 CONTINUE
*
* Report result.
*
IF ( ERRMAX.LT.THRESH )THEN
WRITE ( NOUT, FMT = 9999 )SNAME, NC
ELSE
WRITE ( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
END IF
GO TO 130
*
120 CONTINUE
WRITE ( NOUT, FMT = 9996 )SNAME
WRITE ( NOUT, FMT = 9995 )NC, SNAME, TRANSA, TRANSB, M, N, K,
$ ALPHA, LDA, LDB, BETA, LDC
*
130 CONTINUE
RETURN
*
9999 FORMAT ( ' ' , A6, ' PASSED THE COMPUTATIONAL TESTS (' , I6, ' CALL' ,
$ 'S)' )
9998 FORMAT ( ' ******* FATAL ERROR - PARAMETER NUMBER ' , I2, ' WAS CH' ,
$ 'ANGED INCORRECTLY *******' )
9997 FORMAT ( ' ' , A6, ' COMPLETED THE COMPUTATIONAL TESTS (' , I6, ' C' ,
$ 'ALLS)' , /' ******* BUT WITH MAXIMUM TEST RATIO' , F8.2,
$ ' - SUSPECT *******' )
9996 FORMAT ( ' ******* ' , A6, ' FAILED ON CALL NUMBER:' )
9995 FORMAT ( 1X, I6, ': ' , A6, '(' '' , A1, '' ',' '' , A1, '' ',' ,
$ 3( I3, ',' ), '(' , F4.1, ',' , F4.1, '), A,' , I3, ', B,' , I3,
$ ',(' , F4.1, ',' , F4.1, '), C,' , I3, ').' )
9994 FORMAT ( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *' ,
$ '******' )
*
* End of ZCHK1.
*
END
SUBROUTINE ZCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
$ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
$ A, AA, AS, B, BB, BS, C, CC, CS, CT, G )
*
* Tests ZHEMM and ZSYMM.
*
* Auxiliary routine for test program for Level 3 Blas.
*
* -- Written on 8-February-1989.
* Jack Dongarra, Argonne National Laboratory.
* Iain Duff, AERE Harwell.
* Jeremy Du Croz, Numerical Algorithms Group Ltd.
* Sven Hammarling, Numerical Algorithms Group Ltd.
*
* .. Parameters ..
COMPLEX *16 ZERO
PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) )
DOUBLE PRECISION RZERO
PARAMETER ( RZERO = 0.0D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA
LOGICAL FATAL, REWI, TRACE
CHARACTER *6 SNAME
* .. Array Arguments ..
COMPLEX *16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), B( NMAX, NMAX ),
$ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ),
$ C( NMAX, NMAX ), CC( NMAX*NMAX ),
$ CS( NMAX*NMAX ), CT( NMAX )
DOUBLE PRECISION G( NMAX )
INTEGER IDIM( NIDIM )
* .. Local Scalars ..
COMPLEX *16 ALPHA, ALS, BETA, BLS
DOUBLE PRECISION ERR , ERRMAX
INTEGER I, IA, IB, ICS, ICU, IM, IN , LAA, LBB, LCC,
$ LDA, LDAS, LDB, LDBS, LDC, LDCS, M, MS, N, NA ,
$ NARGS, NC, NS
LOGICAL CONJ, LEFT, NULL , RESET, SAME
CHARACTER *1 SIDE, SIDES, UPLO, UPLOS
CHARACTER *2 ICHS, ICHU
* .. Local Arrays ..
LOGICAL ISAME( 13 )
* .. External Functions ..
LOGICAL LZE, LZERES
EXTERNAL LZE, LZERES
* .. External Subroutines ..
EXTERNAL ZHEMM, ZMAKE, ZMMCH, ZSYMM
* .. Intrinsic Functions ..
INTRINSIC MAX
* .. Scalars in Common ..
INTEGER INFOT, NOUTC
LOGICAL LERR, OK
* .. Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK, LERR
* .. Data statements ..
DATA ICHS/'LR' /, ICHU/'UL' /
* .. Executable Statements ..
CONJ = SNAME( 2: 3 ).EQ.'HE'
*
NARGS = 12
NC = 0
RESET = .TRUE .
ERRMAX = RZERO
*
DO 100 IM = 1, NIDIM
M = IDIM( IM )
*
DO 90 IN = 1, NIDIM
N = IDIM( IN )
* Set LDC to 1 more than minimum value if room.
LDC = M
IF ( LDC.LT.NMAX )
$ LDC = LDC + 1
* Skip tests if not enough room.
IF ( LDC.GT.NMAX )
$ GO TO 90
LCC = LDC*N
NULL = N.LE.0.OR.M.LE.0
* Set LDB to 1 more than minimum value if room.
LDB = M
IF ( LDB.LT.NMAX )
$ LDB = LDB + 1
* Skip tests if not enough room.
IF ( LDB.GT.NMAX )
$ GO TO 90
LBB = LDB*N
*
* Generate the matrix B.
*
CALL ZMAKE( 'GE' , ' ' , ' ' , M, N, B, NMAX, BB, LDB, RESET,
$ ZERO )
*
DO 80 ICS = 1, 2
SIDE = ICHS( ICS: ICS )
LEFT = SIDE.EQ.'L'
*
IF ( LEFT )THEN
NA = M
ELSE
NA = N
END IF
* Set LDA to 1 more than minimum value if room.
LDA = NA
IF ( LDA.LT.NMAX )
$ LDA = LDA + 1
* Skip tests if not enough room.
IF ( LDA.GT.NMAX )
$ GO TO 80
LAA = LDA*NA
*
DO 70 ICU = 1, 2
UPLO = ICHU( ICU: ICU )
*
* Generate the hermitian or symmetric matrix A.
*
CALL ZMAKE( SNAME( 2: 3 ), UPLO, ' ' , NA , NA , A, NMAX,
$ AA, LDA, RESET, ZERO )
*
DO 60 IA = 1, NALF
ALPHA = ALF( IA )
*
DO 50 IB = 1, NBET
BETA = BET( IB )
*
* Generate the matrix C.
*
CALL ZMAKE( 'GE' , ' ' , ' ' , M, N, C, NMAX, CC,
$ LDC, RESET, ZERO )
*
NC = NC + 1
*
* Save every datum before calling the
* subroutine .
*
SIDES = SIDE
UPLOS = UPLO
MS = M
NS = N
ALS = ALPHA
DO 10 I = 1, LAA
AS( I ) = AA( I )
10 CONTINUE
LDAS = LDA
DO 20 I = 1, LBB
BS( I ) = BB( I )
20 CONTINUE
LDBS = LDB
BLS = BETA
DO 30 I = 1, LCC
CS( I ) = CC( I )
30 CONTINUE
LDCS = LDC
*
* Call the subroutine .
*
IF ( TRACE )
$ WRITE ( NTRA, FMT = 9995 )NC, SNAME, SIDE,
$ UPLO, M, N, ALPHA, LDA, LDB, BETA, LDC
IF ( REWI )
$ REWIND NTRA
IF ( CONJ )THEN
CALL ZHEMM( SIDE, UPLO, M, N, ALPHA, AA, LDA,
$ BB, LDB, BETA, CC, LDC )
ELSE
CALL ZSYMM( SIDE, UPLO, M, N, ALPHA, AA, LDA,
$ BB, LDB, BETA, CC, LDC )
END IF
*
* Check if error-exit was taken incorrectly.
*
IF ( .NOT.OK )THEN
WRITE ( NOUT, FMT = 9994 )
FATAL = .TRUE .
GO TO 110
END IF
*
* See what data changed inside subroutines.
*
ISAME( 1 ) = SIDES.EQ.SIDE
ISAME( 2 ) = UPLOS.EQ.UPLO
ISAME( 3 ) = MS.EQ.M
ISAME( 4 ) = NS.EQ.N
ISAME( 5 ) = ALS.EQ.ALPHA
ISAME( 6 ) = LZE( AS, AA, LAA )
ISAME( 7 ) = LDAS.EQ.LDA
ISAME( 8 ) = LZE( BS, BB, LBB )
ISAME( 9 ) = LDBS.EQ.LDB
ISAME( 10 ) = BLS.EQ.BETA
IF ( NULL )THEN
ISAME( 11 ) = LZE( CS, CC, LCC )
ELSE
ISAME( 11 ) = LZERES( 'GE' , ' ' , M, N, CS,
$ CC, LDC )
END IF
ISAME( 12 ) = LDCS.EQ.LDC
*
* If data was incorrectly changed, report and
* return .
*
SAME = .TRUE .
DO 40 I = 1, NARGS
SAME = SAME.AND.ISAME( I )
IF ( .NOT.ISAME( I ) )
$ WRITE ( NOUT, FMT = 9998 )I
40 CONTINUE
IF ( .NOT.SAME )THEN
FATAL = .TRUE .
GO TO 110
END IF
*
IF ( .NOT.NULL )THEN
*
* Check the result.
*
IF ( LEFT )THEN
CALL ZMMCH( 'N' , 'N' , M, N, M, ALPHA, A,
$ NMAX, B, NMAX, BETA, C, NMAX,
$ CT, G, CC, LDC, EPS, ERR ,
$ FATAL, NOUT, .TRUE . )
ELSE
CALL ZMMCH( 'N' , 'N' , M, N, N, ALPHA, B,
$ NMAX, A, NMAX, BETA, C, NMAX,
$ CT, G, CC, LDC, EPS, ERR ,
$ FATAL, NOUT, .TRUE . )
END IF
ERRMAX = MAX( ERRMAX, ERR )
* If got really bad answer, report and
* return .
IF ( FATAL )
$ GO TO 110
END IF
*
50 CONTINUE
*
60 CONTINUE
*
70 CONTINUE
*
80 CONTINUE
*
90 CONTINUE
*
100 CONTINUE
*
* Report result.
*
IF ( ERRMAX.LT.THRESH )THEN
WRITE ( NOUT, FMT = 9999 )SNAME, NC
ELSE
WRITE ( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
END IF
GO TO 120
*
110 CONTINUE
WRITE ( NOUT, FMT = 9996 )SNAME
WRITE ( NOUT, FMT = 9995 )NC, SNAME, SIDE, UPLO, M, N, ALPHA, LDA,
$ LDB, BETA, LDC
*
120 CONTINUE
RETURN
*
9999 FORMAT ( ' ' , A6, ' PASSED THE COMPUTATIONAL TESTS (' , I6, ' CALL' ,
$ 'S)' )
9998 FORMAT ( ' ******* FATAL ERROR - PARAMETER NUMBER ' , I2, ' WAS CH' ,
$ 'ANGED INCORRECTLY *******' )
9997 FORMAT ( ' ' , A6, ' COMPLETED THE COMPUTATIONAL TESTS (' , I6, ' C' ,
$ 'ALLS)' , /' ******* BUT WITH MAXIMUM TEST RATIO' , F8.2,
$ ' - SUSPECT *******' )
9996 FORMAT ( ' ******* ' , A6, ' FAILED ON CALL NUMBER:' )
9995 FORMAT ( 1X, I6, ': ' , A6, '(' , 2( '' '' , A1, '' ',' ), 2( I3, ',' ),
$ '(' , F4.1, ',' , F4.1, '), A,' , I3, ', B,' , I3, ',(' , F4.1,
$ ',' , F4.1, '), C,' , I3, ') .' )
9994 FORMAT ( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *' ,
$ '******' )
*
* End of ZCHK2.
*
END
SUBROUTINE ZCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
$ FATAL, NIDIM, IDIM, NALF, ALF, NMAX, A, AA, AS,
$ B, BB, BS, CT, G, C )
*
* Tests ZTRMM and ZTRSM.
*
* Auxiliary routine for test program for Level 3 Blas.
*
* -- Written on 8-February-1989.
* Jack Dongarra, Argonne National Laboratory.
* Iain Duff, AERE Harwell.
* Jeremy Du Croz, Numerical Algorithms Group Ltd.
* Sven Hammarling, Numerical Algorithms Group Ltd.
*
* .. Parameters ..
COMPLEX *16 ZERO, ONE
PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
$ ONE = ( 1.0D0, 0.0D0 ) )
DOUBLE PRECISION RZERO
PARAMETER ( RZERO = 0.0D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER NALF, NIDIM, NMAX, NOUT, NTRA
LOGICAL FATAL, REWI, TRACE
CHARACTER *6 SNAME
* .. Array Arguments ..
COMPLEX *16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), B( NMAX, NMAX ),
$ BB( NMAX*NMAX ), BS( NMAX*NMAX ),
$ C( NMAX, NMAX ), CT( NMAX )
DOUBLE PRECISION G( NMAX )
INTEGER IDIM( NIDIM )
* .. Local Scalars ..
COMPLEX *16 ALPHA, ALS
DOUBLE PRECISION ERR , ERRMAX
INTEGER I, IA, ICD, ICS, ICT, ICU, IM, IN , J, LAA, LBB,
$ LDA, LDAS, LDB, LDBS, M, MS, N, NA , NARGS, NC,
$ NS
LOGICAL LEFT, NULL , RESET, SAME
CHARACTER *1 DIAG, DIAGS, SIDE, SIDES, TRANAS, TRANSA, UPLO,
$ UPLOS
CHARACTER *2 ICHD, ICHS, ICHU
CHARACTER *3 ICHT
* .. Local Arrays ..
LOGICAL ISAME( 13 )
* .. External Functions ..
LOGICAL LZE, LZERES
EXTERNAL LZE, LZERES
* .. External Subroutines ..
EXTERNAL ZMAKE, ZMMCH, ZTRMM, ZTRSM
* .. Intrinsic Functions ..
INTRINSIC MAX
* .. Scalars in Common ..
INTEGER INFOT, NOUTC
LOGICAL LERR, OK
* .. Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK, LERR
* .. Data statements ..
DATA ICHU/'UL' /, ICHT/'NTC' /, ICHD/'UN' /, ICHS/'LR' /
* .. Executable Statements ..
*
NARGS = 11
NC = 0
RESET = .TRUE .
ERRMAX = RZERO
* Set up zero matrix for ZMMCH.
DO 20 J = 1, NMAX
DO 10 I = 1, NMAX
C( I, J ) = ZERO
10 CONTINUE
20 CONTINUE
*
DO 140 IM = 1, NIDIM
M = IDIM( IM )
*
DO 130 IN = 1, NIDIM
N = IDIM( IN )
* Set LDB to 1 more than minimum value if room.
LDB = M
IF ( LDB.LT.NMAX )
$ LDB = LDB + 1
* Skip tests if not enough room.
IF ( LDB.GT.NMAX )
$ GO TO 130
LBB = LDB*N
NULL = M.LE.0.OR.N.LE.0
*
DO 120 ICS = 1, 2
SIDE = ICHS( ICS: ICS )
LEFT = SIDE.EQ.'L'
IF ( LEFT )THEN
NA = M
ELSE
NA = N
END IF
* Set LDA to 1 more than minimum value if room.
LDA = NA
IF ( LDA.LT.NMAX )
$ LDA = LDA + 1
* Skip tests if not enough room.
IF ( LDA.GT.NMAX )
$ GO TO 130
LAA = LDA*NA
*
DO 110 ICU = 1, 2
UPLO = ICHU( ICU: ICU )
*
DO 100 ICT = 1, 3
TRANSA = ICHT( ICT: ICT )
*
DO 90 ICD = 1, 2
DIAG = ICHD( ICD: ICD )
*
DO 80 IA = 1, NALF
ALPHA = ALF( IA )
*
* Generate the matrix A.
*
CALL ZMAKE( 'TR' , UPLO, DIAG, NA , NA , A,
$ NMAX, AA, LDA, RESET, ZERO )
*
* Generate the matrix B.
*
CALL ZMAKE( 'GE' , ' ' , ' ' , M, N, B, NMAX,
$ BB, LDB, RESET, ZERO )
*
NC = NC + 1
*
* Save every datum before calling the
* subroutine .
*
SIDES = SIDE
UPLOS = UPLO
TRANAS = TRANSA
DIAGS = DIAG
MS = M
NS = N
ALS = ALPHA
DO 30 I = 1, LAA
AS( I ) = AA( I )
30 CONTINUE
LDAS = LDA
DO 40 I = 1, LBB
BS( I ) = BB( I )
40 CONTINUE
LDBS = LDB
*
* Call the subroutine .
*
IF ( SNAME( 4: 5 ).EQ.'MM' )THEN
IF ( TRACE )
$ WRITE ( NTRA, FMT = 9995 )NC, SNAME,
$ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA,
$ LDA, LDB
IF ( REWI )
$ REWIND NTRA
CALL ZTRMM( SIDE, UPLO, TRANSA, DIAG, M,
$ N, ALPHA, AA, LDA, BB, LDB )
ELSE IF ( SNAME( 4: 5 ).EQ.'SM' )THEN
IF ( TRACE )
$ WRITE ( NTRA, FMT = 9995 )NC, SNAME,
$ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA,
$ LDA, LDB
IF ( REWI )
$ REWIND NTRA
CALL ZTRSM( SIDE, UPLO, TRANSA, DIAG, M,
$ N, ALPHA, AA, LDA, BB, LDB )
END IF
*
* Check if error-exit was taken incorrectly.
*
IF ( .NOT.OK )THEN
WRITE ( NOUT, FMT = 9994 )
FATAL = .TRUE .
GO TO 150
END IF
*
* See what data changed inside subroutines.
*
ISAME( 1 ) = SIDES.EQ.SIDE
ISAME( 2 ) = UPLOS.EQ.UPLO
ISAME( 3 ) = TRANAS.EQ.TRANSA
ISAME( 4 ) = DIAGS.EQ.DIAG
ISAME( 5 ) = MS.EQ.M
ISAME( 6 ) = NS.EQ.N
ISAME( 7 ) = ALS.EQ.ALPHA
ISAME( 8 ) = LZE( AS, AA, LAA )
ISAME( 9 ) = LDAS.EQ.LDA
IF ( NULL )THEN
ISAME( 10 ) = LZE( BS, BB, LBB )
ELSE
ISAME( 10 ) = LZERES( 'GE' , ' ' , M, N, BS,
$ BB, LDB )
END IF
ISAME( 11 ) = LDBS.EQ.LDB
*
* If data was incorrectly changed, report and
* return .
*
SAME = .TRUE .
DO 50 I = 1, NARGS
SAME = SAME.AND.ISAME( I )
IF ( .NOT.ISAME( I ) )
$ WRITE ( NOUT, FMT = 9998 )I
50 CONTINUE
IF ( .NOT.SAME )THEN
FATAL = .TRUE .
GO TO 150
END IF
*
IF ( .NOT.NULL )THEN
IF ( SNAME( 4: 5 ).EQ.'MM' )THEN
*
* Check the result.
*
IF ( LEFT )THEN
CALL ZMMCH( TRANSA, 'N' , M, N, M,
$ ALPHA, A, NMAX, B, NMAX,
$ ZERO, C, NMAX, CT, G,
$ BB, LDB, EPS, ERR ,
$ FATAL, NOUT, .TRUE . )
ELSE
CALL ZMMCH( 'N' , TRANSA, M, N, N,
$ ALPHA, B, NMAX, A, NMAX,
$ ZERO, C, NMAX, CT, G,
$ BB, LDB, EPS, ERR ,
$ FATAL, NOUT, .TRUE . )
END IF
ELSE IF ( SNAME( 4: 5 ).EQ.'SM' )THEN
*
* Compute approximation to original
* matrix.
*
DO 70 J = 1, N
DO 60 I = 1, M
C( I, J ) = BB( I + ( J - 1 )*
$ LDB )
BB( I + ( J - 1 )*LDB ) = ALPHA*
$ B( I, J )
60 CONTINUE
70 CONTINUE
*
IF ( LEFT )THEN
CALL ZMMCH( TRANSA, 'N' , M, N, M,
$ ONE, A, NMAX, C, NMAX,
$ ZERO, B, NMAX, CT, G,
$ BB, LDB, EPS, ERR ,
$ FATAL, NOUT, .FALSE . )
ELSE
CALL ZMMCH( 'N' , TRANSA, M, N, N,
$ ONE, C, NMAX, A, NMAX,
$ ZERO, B, NMAX, CT, G,
$ BB, LDB, EPS, ERR ,
$ FATAL, NOUT, .FALSE . )
END IF
END IF
ERRMAX = MAX( ERRMAX, ERR )
* If got really bad answer, report and
* return .
IF ( FATAL )
$ GO TO 150
END IF
*
80 CONTINUE
*
90 CONTINUE
*
100 CONTINUE
*
110 CONTINUE
*
120 CONTINUE
*
130 CONTINUE
*
140 CONTINUE
*
* Report result.
*
IF ( ERRMAX.LT.THRESH )THEN
WRITE ( NOUT, FMT = 9999 )SNAME, NC
ELSE
WRITE ( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
END IF
GO TO 160
*
150 CONTINUE
WRITE ( NOUT, FMT = 9996 )SNAME
WRITE ( NOUT, FMT = 9995 )NC, SNAME, SIDE, UPLO, TRANSA, DIAG, M,
$ N, ALPHA, LDA, LDB
*
160 CONTINUE
RETURN
*
9999 FORMAT ( ' ' , A6, ' PASSED THE COMPUTATIONAL TESTS (' , I6, ' CALL' ,
$ 'S)' )
9998 FORMAT ( ' ******* FATAL ERROR - PARAMETER NUMBER ' , I2, ' WAS CH' ,
$ 'ANGED INCORRECTLY *******' )
9997 FORMAT ( ' ' , A6, ' COMPLETED THE COMPUTATIONAL TESTS (' , I6, ' C' ,
$ 'ALLS)' , /' ******* BUT WITH MAXIMUM TEST RATIO' , F8.2,
$ ' - SUSPECT *******' )
9996 FORMAT ( ' ******* ' , A6, ' FAILED ON CALL NUMBER:' )
9995 FORMAT ( 1X, I6, ': ' , A6, '(' , 4( '' '' , A1, '' ',' ), 2( I3, ',' ),
$ '(' , F4.1, ',' , F4.1, '), A,' , I3, ', B,' , I3, ') ' ,
$ ' .' )
9994 FORMAT ( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *' ,
$ '******' )
*
* End of ZCHK3.
*
END
SUBROUTINE ZCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
$ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
$ A, AA, AS, B, BB, BS, C, CC, CS, CT, G )
*
* Tests ZHERK and ZSYRK.
*
* Auxiliary routine for test program for Level 3 Blas.
*
* -- Written on 8-February-1989.
* Jack Dongarra, Argonne National Laboratory.
* Iain Duff, AERE Harwell.
* Jeremy Du Croz, Numerical Algorithms Group Ltd.
* Sven Hammarling, Numerical Algorithms Group Ltd.
*
* .. Parameters ..
COMPLEX *16 ZERO
PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) )
DOUBLE PRECISION RONE, RZERO
PARAMETER ( RONE = 1.0D0, RZERO = 0.0D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA
LOGICAL FATAL, REWI, TRACE
CHARACTER *6 SNAME
* .. Array Arguments ..
COMPLEX *16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), B( NMAX, NMAX ),
$ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ),
$ C( NMAX, NMAX ), CC( NMAX*NMAX ),
$ CS( NMAX*NMAX ), CT( NMAX )
DOUBLE PRECISION G( NMAX )
INTEGER IDIM( NIDIM )
* .. Local Scalars ..
COMPLEX *16 ALPHA, ALS, BETA, BETS
DOUBLE PRECISION ERR , ERRMAX, RALPHA, RALS, RBETA, RBETS
INTEGER I, IA, IB, ICT, ICU, IK, IN , J, JC, JJ, K, KS,
$ LAA, LCC, LDA, LDAS, LDC, LDCS, LJ, MA, N, NA ,
$ NARGS, NC, NS
LOGICAL CONJ, NULL , RESET, SAME, TRAN, UPPER
CHARACTER *1 TRANS, TRANSS, TRANST, UPLO, UPLOS
CHARACTER *2 ICHT, ICHU
* .. Local Arrays ..
LOGICAL ISAME( 13 )
* .. External Functions ..
LOGICAL LZE, LZERES
EXTERNAL LZE, LZERES
* .. External Subroutines ..
EXTERNAL ZHERK, ZMAKE, ZMMCH, ZSYRK
* .. Intrinsic Functions ..
INTRINSIC DCMPLX, MAX, DBLE
* .. Scalars in Common ..
INTEGER INFOT, NOUTC
LOGICAL LERR, OK
* .. Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK, LERR
* .. Data statements ..
DATA ICHT/'NC' /, ICHU/'UL' /
* .. Executable Statements ..
CONJ = SNAME( 2: 3 ).EQ.'HE'
*
NARGS = 10
NC = 0
RESET = .TRUE .
ERRMAX = RZERO
*
DO 100 IN = 1, NIDIM
N = IDIM( IN )
* Set LDC to 1 more than minimum value if room.
LDC = N
IF ( LDC.LT.NMAX )
$ LDC = LDC + 1
* Skip tests if not enough room.
IF ( LDC.GT.NMAX )
$ GO TO 100
LCC = LDC*N
*
DO 90 IK = 1, NIDIM
K = IDIM( IK )
*
DO 80 ICT = 1, 2
TRANS = ICHT( ICT: ICT )
TRAN = TRANS.EQ.'C'
IF ( TRAN.AND..NOT.CONJ )
$ TRANS = 'T'
IF ( TRAN )THEN
MA = K
NA = N
ELSE
MA = N
NA = K
END IF
* Set LDA to 1 more than minimum value if room.
LDA = MA
IF ( LDA.LT.NMAX )
$ LDA = LDA + 1
* Skip tests if not enough room.
IF ( LDA.GT.NMAX )
$ GO TO 80
LAA = LDA*NA
*
* Generate the matrix A.
*
CALL ZMAKE( 'GE' , ' ' , ' ' , MA, NA , A, NMAX, AA, LDA,
$ RESET, ZERO )
*
DO 70 ICU = 1, 2
UPLO = ICHU( ICU: ICU )
UPPER = UPLO.EQ.'U'
*
DO 60 IA = 1, NALF
ALPHA = ALF( IA )
IF ( CONJ )THEN
RALPHA = DBLE( ALPHA )
ALPHA = DCMPLX( RALPHA, RZERO )
END IF
*
DO 50 IB = 1, NBET
BETA = BET( IB )
IF ( CONJ )THEN
RBETA = DBLE( BETA )
BETA = DCMPLX( RBETA, RZERO )
END IF
NULL = N.LE.0
IF ( CONJ )
$ NULL = NULL .OR.( ( K.LE.0.OR.RALPHA.EQ.
$ RZERO ).AND.RBETA.EQ.RONE )
*
* Generate the matrix C.
*
CALL ZMAKE( SNAME( 2: 3 ), UPLO, ' ' , N, N, C,
$ NMAX, CC, LDC, RESET, ZERO )
*
NC = NC + 1
*
* Save every datum before calling the subroutine .
*
UPLOS = UPLO
TRANSS = TRANS
NS = N
KS = K
IF ( CONJ )THEN
RALS = RALPHA
ELSE
ALS = ALPHA
END IF
DO 10 I = 1, LAA
AS( I ) = AA( I )
10 CONTINUE
LDAS = LDA
IF ( CONJ )THEN
RBETS = RBETA
ELSE
BETS = BETA
END IF
DO 20 I = 1, LCC
CS( I ) = CC( I )
20 CONTINUE
LDCS = LDC
*
* Call the subroutine .
*
IF ( CONJ )THEN
IF ( TRACE )
$ WRITE ( NTRA, FMT = 9994 )NC, SNAME, UPLO,
$ TRANS, N, K, RALPHA, LDA, RBETA, LDC
IF ( REWI )
$ REWIND NTRA
CALL ZHERK( UPLO, TRANS, N, K, RALPHA, AA,
$ LDA, RBETA, CC, LDC )
ELSE
IF ( TRACE )
$ WRITE ( NTRA, FMT = 9993 )NC, SNAME, UPLO,
$ TRANS, N, K, ALPHA, LDA, BETA, LDC
IF ( REWI )
$ REWIND NTRA
CALL ZSYRK( UPLO, TRANS, N, K, ALPHA, AA,
$ LDA, BETA, CC, LDC )
END IF
*
* Check if error-exit was taken incorrectly.
*
IF ( .NOT.OK )THEN
WRITE ( NOUT, FMT = 9992 )
FATAL = .TRUE .
GO TO 120
END IF
*
* See what data changed inside subroutines.
*
ISAME( 1 ) = UPLOS.EQ.UPLO
ISAME( 2 ) = TRANSS.EQ.TRANS
ISAME( 3 ) = NS.EQ.N
ISAME( 4 ) = KS.EQ.K
IF ( CONJ )THEN
ISAME( 5 ) = RALS.EQ.RALPHA
ELSE
ISAME( 5 ) = ALS.EQ.ALPHA
END IF
ISAME( 6 ) = LZE( AS, AA, LAA )
ISAME( 7 ) = LDAS.EQ.LDA
IF ( CONJ )THEN
ISAME( 8 ) = RBETS.EQ.RBETA
ELSE
ISAME( 8 ) = BETS.EQ.BETA
END IF
IF ( NULL )THEN
ISAME( 9 ) = LZE( CS, CC, LCC )
ELSE
ISAME( 9 ) = LZERES( SNAME( 2: 3 ), UPLO, N,
$ N, CS, CC, LDC )
END IF
ISAME( 10 ) = LDCS.EQ.LDC
*
* If data was incorrectly changed, report and
* return .
*
SAME = .TRUE .
DO 30 I = 1, NARGS
SAME = SAME.AND.ISAME( I )
IF ( .NOT.ISAME( I ) )
$ WRITE ( NOUT, FMT = 9998 )I
30 CONTINUE
IF ( .NOT.SAME )THEN
FATAL = .TRUE .
GO TO 120
END IF
*
IF ( .NOT.NULL )THEN
*
* Check the result column by column.
*
IF ( CONJ )THEN
TRANST = 'C'
ELSE
TRANST = 'T'
END IF
JC = 1
DO 40 J = 1, N
IF ( UPPER )THEN
JJ = 1
LJ = J
ELSE
JJ = J
LJ = N - J + 1
END IF
IF ( TRAN )THEN
CALL ZMMCH( TRANST, 'N' , LJ, 1, K,
$ ALPHA, A( 1, JJ ), NMAX,
$ A( 1, J ), NMAX, BETA,
$ C( JJ, J ), NMAX, CT, G,
$ CC( JC ), LDC, EPS, ERR ,
$ FATAL, NOUT, .TRUE . )
ELSE
CALL ZMMCH( 'N' , TRANST, LJ, 1, K,
$ ALPHA, A( JJ, 1 ), NMAX,
$ A( J, 1 ), NMAX, BETA,
$ C( JJ, J ), NMAX, CT, G,
$ CC( JC ), LDC, EPS, ERR ,
$ FATAL, NOUT, .TRUE . )
END IF
IF ( UPPER )THEN
JC = JC + LDC
ELSE
JC = JC + LDC + 1
END IF
ERRMAX = MAX( ERRMAX, ERR )
* If got really bad answer, report and
* return .
IF ( FATAL )
$ GO TO 110
40 CONTINUE
END IF
*
50 CONTINUE
*
60 CONTINUE
*
70 CONTINUE
*
80 CONTINUE
*
90 CONTINUE
*
100 CONTINUE
*
* Report result.
*
IF ( ERRMAX.LT.THRESH )THEN
WRITE ( NOUT, FMT = 9999 )SNAME, NC
ELSE
WRITE ( NOUT, FMT = 9997 )SNAME, NC, ERRMAX
END IF
GO TO 130
*
110 CONTINUE
IF ( N.GT.1 )
$ WRITE ( NOUT, FMT = 9995 )J
*
120 CONTINUE
WRITE ( NOUT, FMT = 9996 )SNAME
IF ( CONJ )THEN
WRITE ( NOUT, FMT = 9994 )NC, SNAME, UPLO, TRANS, N, K, RALPHA,
$ LDA, RBETA, LDC
ELSE
WRITE ( NOUT, FMT = 9993 )NC, SNAME, UPLO, TRANS, N, K, ALPHA,
$ LDA, BETA, LDC
END IF
*
130 CONTINUE
RETURN
*
9999 FORMAT ( ' ' , A6, ' PASSED THE COMPUTATIONAL TESTS (' , I6, ' CALL' ,
$ 'S)' )
9998 FORMAT ( ' ******* FATAL ERROR - PARAMETER NUMBER ' , I2, ' WAS CH' ,
$ 'ANGED INCORRECTLY *******' )
9997 FORMAT ( ' ' , A6, ' COMPLETED THE COMPUTATIONAL TESTS (' , I6, ' C' ,
$ 'ALLS)' , /' ******* BUT WITH MAXIMUM TEST RATIO' , F8.2,
$ ' - SUSPECT *******' )
9996 FORMAT ( ' ******* ' , A6, ' FAILED ON CALL NUMBER:' )
9995 FORMAT ( ' THESE ARE THE RESULTS FOR COLUMN ' , I3 )
9994 FORMAT ( 1X, I6, ': ' , A6, '(' , 2( '' '' , A1, '' ',' ), 2( I3, ',' ),
$ F4.1, ', A,' , I3, ',' , F4.1, ', C,' , I3, ') ' ,
$ ' .' )
9993 FORMAT ( 1X, I6, ': ' , A6, '(' , 2( '' '' , A1, '' ',' ), 2( I3, ',' ),
$ '(' , F4.1, ',' , F4.1, ') , A,' , I3, ',(' , F4.1, ',' , F4.1,
$ '), C,' , I3, ') .' )
9992 FORMAT ( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *' ,
$ '******' )
*
* End of ZCHK4.
*
END
SUBROUTINE ZCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
$ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX,
$ AB, AA, AS, BB, BS, C, CC, CS, CT, G, W )
*
* Tests ZHER2K and ZSYR2K.
*
* Auxiliary routine for test program for Level 3 Blas.
*
* -- Written on 8-February-1989.
* Jack Dongarra, Argonne National Laboratory.
* Iain Duff, AERE Harwell.
* Jeremy Du Croz, Numerical Algorithms Group Ltd.
* Sven Hammarling, Numerical Algorithms Group Ltd.
*
* .. Parameters ..
COMPLEX *16 ZERO, ONE
PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
$ ONE = ( 1.0D0, 0.0D0 ) )
DOUBLE PRECISION RONE, RZERO
PARAMETER ( RONE = 1.0D0, RZERO = 0.0D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA
LOGICAL FATAL, REWI, TRACE
CHARACTER *6 SNAME
* .. Array Arguments ..
COMPLEX *16 AA( NMAX*NMAX ), AB( 2*NMAX*NMAX ),
$ ALF( NALF ), AS( NMAX*NMAX ), BB( NMAX*NMAX ),
$ BET( NBET ), BS( NMAX*NMAX ), C( NMAX, NMAX ),
$ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ),
$ W( 2*NMAX )
DOUBLE PRECISION G( NMAX )
INTEGER IDIM( NIDIM )
* .. Local Scalars ..
COMPLEX *16 ALPHA, ALS, BETA, BETS
DOUBLE PRECISION ERR , ERRMAX, RBETA, RBETS
INTEGER I, IA, IB, ICT, ICU, IK, IN , J, JC, JJ, JJAB,
$ K, KS, LAA, LBB, LCC, LDA, LDAS, LDB, LDBS,
$ LDC, LDCS, LJ, MA, N, NA , NARGS, NC, NS
LOGICAL CONJ, NULL , RESET, SAME, TRAN, UPPER
CHARACTER *1 TRANS, TRANSS, TRANST, UPLO, UPLOS
CHARACTER *2 ICHT, ICHU
* .. Local Arrays ..
LOGICAL ISAME( 13 )
* .. External Functions ..
LOGICAL LZE, LZERES
EXTERNAL LZE, LZERES
* .. External Subroutines ..
EXTERNAL ZHER2K, ZMAKE, ZMMCH, ZSYR2K
* .. Intrinsic Functions ..
INTRINSIC DCMPLX, DCONJG, MAX, DBLE
* .. Scalars in Common ..
INTEGER INFOT, NOUTC
LOGICAL LERR, OK
* .. Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK, LERR
* .. Data statements ..
DATA ICHT/'NC' /, ICHU/'UL' /
* .. Executable Statements ..
CONJ = SNAME( 2: 3 ).EQ.'HE'
*
NARGS = 12
NC = 0
RESET = .TRUE .
ERRMAX = RZERO
*
DO 130 IN = 1, NIDIM
N = IDIM( IN )
* Set LDC to 1 more than minimum value if room.
LDC = N
IF ( LDC.LT.NMAX )
$ LDC = LDC + 1
* Skip tests if not enough room.
IF ( LDC.GT.NMAX )
$ GO TO 130
LCC = LDC*N
*
DO 120 IK = 1, NIDIM
K = IDIM( IK )
*
DO 110 ICT = 1, 2
TRANS = ICHT( ICT: ICT )
TRAN = TRANS.EQ.'C'
IF ( TRAN.AND..NOT.CONJ )
$ TRANS = 'T'
IF ( TRAN )THEN
MA = K
NA = N
ELSE
MA = N
NA = K
END IF
* Set LDA to 1 more than minimum value if room.
LDA = MA
IF ( LDA.LT.NMAX )
$ LDA = LDA + 1
* Skip tests if not enough room.
IF ( LDA.GT.NMAX )
$ GO TO 110
LAA = LDA*NA
*
* Generate the matrix A.
*
IF ( TRAN )THEN
CALL ZMAKE( 'GE' , ' ' , ' ' , MA, NA , AB, 2*NMAX, AA,
$ LDA, RESET, ZERO )
ELSE
CALL ZMAKE( 'GE' , ' ' , ' ' , MA, NA , AB, NMAX, AA, LDA,
$ RESET, ZERO )
END IF
*
* Generate the matrix B.
*
LDB = LDA
LBB = LAA
IF ( TRAN )THEN
CALL ZMAKE( 'GE' , ' ' , ' ' , MA, NA , AB( K + 1 ),
$ 2*NMAX, BB, LDB, RESET, ZERO )
ELSE
CALL ZMAKE( 'GE' , ' ' , ' ' , MA, NA , AB( K*NMAX + 1 ),
$ NMAX, BB, LDB, RESET, ZERO )
END IF
*
DO 100 ICU = 1, 2
UPLO = ICHU( ICU: ICU )
UPPER = UPLO.EQ.'U'
*
DO 90 IA = 1, NALF
ALPHA = ALF( IA )
*
DO 80 IB = 1, NBET
BETA = BET( IB )
IF ( CONJ )THEN
RBETA = DBLE( BETA )
BETA = DCMPLX( RBETA, RZERO )
END IF
NULL = N.LE.0
IF ( CONJ )
$ NULL = NULL .OR.( ( K.LE.0.OR.ALPHA.EQ.
$ ZERO ).AND.RBETA.EQ.RONE )
*
* Generate the matrix C.
*
CALL ZMAKE( SNAME( 2: 3 ), UPLO, ' ' , N, N, C,
$ NMAX, CC, LDC, RESET, ZERO )
*
NC = NC + 1
*
* Save every datum before calling the subroutine .
*
UPLOS = UPLO
TRANSS = TRANS
NS = N
KS = K
ALS = ALPHA
DO 10 I = 1, LAA
AS( I ) = AA( I )
10 CONTINUE
LDAS = LDA
DO 20 I = 1, LBB
BS( I ) = BB( I )
20 CONTINUE
LDBS = LDB
IF ( CONJ )THEN
RBETS = RBETA
ELSE
BETS = BETA
END IF
DO 30 I = 1, LCC
CS( I ) = CC( I )
30 CONTINUE
LDCS = LDC
*
* Call the subroutine .
*
IF ( CONJ )THEN
IF ( TRACE )
$ WRITE ( NTRA, FMT = 9994 )NC, SNAME, UPLO,
$ TRANS, N, K, ALPHA, LDA, LDB, RBETA, LDC
IF ( REWI )
$ REWIND NTRA
CALL ZHER2K( UPLO, TRANS, N, K, ALPHA, AA,
$ LDA, BB, LDB, RBETA, CC, LDC )
ELSE
IF ( TRACE )
--> --------------------
--> maximum size reached
--> --------------------
quality 97%
¤ Dauer der Verarbeitung: 0.44 Sekunden
(vorverarbeitet)
¤
*© Formatika GbR, Deutschland