Fix output descriptors of c_{s,d,c,z}blat3
The NTRA argument can be equal to -1 if one does not want a snapshot file
(and this is the case with sample data {s,d,c,z}in3).
The routines {S,D,C,Z}PRCN3 will try to use their first argument as an output
unit number, so we avoid calling them when NTRA < 0.
Patch originally written by Camm Maguire.
9 years ago |
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- PROGRAM ZBLAT3
- *
- * Test program for the COMPLEX*16 Level 3 Blas.
- *
- * The program must be driven by a short data file. The first 13 records
- * of the file are read using list-directed input, the last 9 records
- * are read using the format ( A13,L2 ). An annotated example of a data
- * file can be obtained by deleting the first 3 characters from the
- * following 22 lines:
- * 'CBLAT3.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 CALL ABORT ON FAILURES.
- * T LOGICAL FLAG, T TO TEST ERROR EXITS.
- * 2 0 TO TEST COLUMN-MAJOR, 1 TO TEST ROW-MAJOR, 2 TO TEST BOTH
- * 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.
- *
- * 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.
- *
- * .. Parameters ..
- INTEGER NIN, NOUT
- PARAMETER ( NIN = 5, NOUT = 6 )
- INTEGER NSUBS
- PARAMETER ( NSUBS = 9 )
- COMPLEX*16 ZERO, ONE
- PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
- $ ONE = ( 1.0D0, 0.0D0 ) )
- DOUBLE PRECISION RZERO, RHALF, RONE
- PARAMETER ( RZERO = 0.0D0, RHALF = 0.5D0, RONE = 1.0D0 )
- 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, NTRA,
- $ LAYOUT
- LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE,
- $ TSTERR, CORDER, RORDER
- CHARACTER*1 TRANSA, TRANSB
- CHARACTER*13 SNAMET
- CHARACTER*32 SNAPS
- * .. 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*13 SNAMES( NSUBS )
- * .. External Functions ..
- DOUBLE PRECISION DDIFF
- LOGICAL LZE
- EXTERNAL DDIFF, LZE
- * .. External Subroutines ..
- EXTERNAL ZCHK1, ZCHK2, ZCHK3, ZCHK4, ZCHK5,ZMMCH
- * .. Intrinsic Functions ..
- INTRINSIC MAX, MIN
- * .. Scalars in Common ..
- INTEGER INFOT, NOUTC
- LOGICAL LERR, OK
- CHARACTER*13 SRNAMT
- * .. Common blocks ..
- COMMON /INFOC/INFOT, NOUTC, OK, LERR
- COMMON /SRNAMC/SRNAMT
- * .. Data statements ..
- DATA SNAMES/'cblas_zgemm3m ', 'cblas_zhemm ',
- $ 'cblas_zsymm ', 'cblas_ztrmm ', 'cblas_ztrsm ',
- $ 'cblas_zherk ', 'cblas_zsyrk ', 'cblas_zher2k',
- $ 'cblas_zsyr2k'/
- * .. Executable Statements ..
- *
- 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 = 'NEW' )
- 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 flag that indicates whether row-major data layout to be tested.
- READ( NIN, FMT = * )LAYOUT
- * 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 = * )
-
- RORDER = .FALSE.
- CORDER = .FALSE.
- IF (LAYOUT.EQ.2) THEN
- RORDER = .TRUE.
- CORDER = .TRUE.
- WRITE( *, FMT = 10002 )
- ELSE IF (LAYOUT.EQ.1) THEN
- RORDER = .TRUE.
- WRITE( *, FMT = 10001 )
- ELSE IF (LAYOUT.EQ.0) THEN
- CORDER = .TRUE.
- WRITE( *, FMT = 10000 )
- END IF
- WRITE( *, 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
- CALL ABORT
- 50 LTEST( I ) = LTESTT
- GO TO 30
- *
- 60 CONTINUE
- CLOSE ( NIN )
- *
- * Compute EPS (the machine precision).
- *
- EPS = RONE
- 70 CONTINUE
- IF( DDIFF( RONE + EPS, RONE ).EQ.RZERO )
- $ GO TO 80
- EPS = RHALF*EPS
- GO TO 70
- 80 CONTINUE
- EPS = EPS + EPS
- 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
- CALL ABORT
- 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
- CALL ABORT
- 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
- CALL ABORT
- 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
- CALL ABORT
- 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 CZ3CHKE( SNAMES( ISNUM ) )
- 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 IF (CORDER) THEN
- 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, 0 )
- END IF
- IF (RORDER) THEN
- 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, 1 )
- END IF
- GO TO 190
- * Test ZHEMM, 02, ZSYMM, 03.
- 150 IF (CORDER) THEN
- 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, 0 )
- END IF
- IF (RORDER) THEN
- 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, 1 )
- END IF
- GO TO 190
- * Test ZTRMM, 04, ZTRSM, 05.
- 160 IF (CORDER) THEN
- 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,
- $ 0 )
- END IF
- IF (RORDER) THEN
- 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,
- $ 1 )
- END IF
- GO TO 190
- * Test ZHERK, 06, ZSYRK, 07.
- 170 IF (CORDER) THEN
- 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, 0 )
- END IF
- IF (RORDER) THEN
- 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, 1 )
- END IF
- GO TO 190
- * Test ZHER2K, 08, ZSYR2K, 09.
- 180 IF (CORDER) THEN
- 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,
- $ 0 )
- END IF
- IF (RORDER) THEN
- 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,
- $ 1 )
- END IF
- 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 )
- IF( FATAL ) THEN
- CALL ABORT
- END IF
- *
- 10002 FORMAT( ' COLUMN-MAJOR AND ROW-MAJOR DATA LAYOUTS ARE TESTED' )
- 10001 FORMAT(' ROW-MAJOR DATA LAYOUT IS TESTED' )
- 10000 FORMAT(' COLUMN-MAJOR DATA LAYOUT IS TESTED' )
- 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, E9.1 )
- 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 ', A13,' 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( A13,L2 )
- 9987 FORMAT( 1X, A13,' 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,
- $ IORDER )
- *
- * 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 = ( 0.0, 0.0 ) )
- DOUBLE PRECISION RZERO
- PARAMETER ( RZERO = 0.0 )
- * .. Scalar Arguments ..
- DOUBLE PRECISION EPS, THRESH
- INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER
- LOGICAL FATAL, REWI, TRACE
- CHARACTER*13 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 CZGEMM3M, 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 )
- $ CALL ZPRCN1(NTRA, NC, SNAME, IORDER,
- $ TRANSA, TRANSB, M, N, K, ALPHA, LDA,
- $ LDB, BETA, LDC)
- IF( REWI )
- $ REWIND NTRA
- CALL CZGEMM3M( IORDER, 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
- IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
- IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
- ELSE
- IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
- IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
- END IF
- GO TO 130
- *
- 120 CONTINUE
- WRITE( NOUT, FMT = 9996 )SNAME
- CALL ZPRCN1(NOUT, NC, SNAME, IORDER, TRANSA, TRANSB,
- $ M, N, K, ALPHA, LDA, LDB, BETA, LDC)
- *
- 130 CONTINUE
- RETURN
- *
- 10003 FORMAT( ' ', A13,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
- $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
- $ 'RATIO ', F8.2, ' - SUSPECT *******' )
- 10002 FORMAT( ' ', A13,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
- $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
- $ 'RATIO ', F8.2, ' - SUSPECT *******' )
- 10001 FORMAT( ' ', A13,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
- $ ' (', I6, ' CALL', 'S)' )
- 10000 FORMAT( ' ', A13,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
- $ ' (', I6, ' CALL', 'S)' )
- 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
- $ 'ANGED INCORRECTLY *******' )
- 9996 FORMAT( ' ******* ', A13,' FAILED ON CALL NUMBER:' )
- 9995 FORMAT( 1X, I6, ': ', A13,'(''', 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 ZPRCN1(NOUT, NC, SNAME, IORDER, TRANSA, TRANSB, M, N,
- $ K, ALPHA, LDA, LDB, BETA, LDC)
- INTEGER NOUT, NC, IORDER, M, N, K, LDA, LDB, LDC
- DOUBLE COMPLEX ALPHA, BETA
- CHARACTER*1 TRANSA, TRANSB
- CHARACTER*13 SNAME
- CHARACTER*14 CRC, CTA,CTB
-
- IF (TRANSA.EQ.'N')THEN
- CTA = ' CblasNoTrans'
- ELSE IF (TRANSA.EQ.'T')THEN
- CTA = ' CblasTrans'
- ELSE
- CTA = 'CblasConjTrans'
- END IF
- IF (TRANSB.EQ.'N')THEN
- CTB = ' CblasNoTrans'
- ELSE IF (TRANSB.EQ.'T')THEN
- CTB = ' CblasTrans'
- ELSE
- CTB = 'CblasConjTrans'
- END IF
- IF (IORDER.EQ.1)THEN
- CRC = ' CblasRowMajor'
- ELSE
- CRC = ' CblasColMajor'
- END IF
- WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CTA,CTB
- WRITE(NOUT, FMT = 9994)M, N, K, ALPHA, LDA, LDB, BETA, LDC
-
- 9995 FORMAT( 1X, I6, ': ', A13,'(', A15, ',', A14, ',', A14, ',')
- 9994 FORMAT( 10X, 3( I3, ',' ) ,' (', F4.1,',',F4.1,') , A,',
- $ I3, ', B,', I3, ', (', F4.1,',',F4.1,') , C,', I3, ').' )
- 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,
- $ IORDER )
- *
- * 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, IORDER
- LOGICAL FATAL, REWI, TRACE
- CHARACTER*13 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 CZHEMM, ZMAKE, ZMMCH, CZSYMM
- * .. 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( 8: 9 ).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( 8: 9 ), 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 )
- $ CALL ZPRCN2(NTRA, NC, SNAME, IORDER,
- $ SIDE, UPLO, M, N, ALPHA, LDA, LDB,
- $ BETA, LDC)
- IF( REWI )
- $ REWIND NTRA
- IF( CONJ )THEN
- CALL CZHEMM( IORDER, SIDE, UPLO, M, N,
- $ ALPHA, AA, LDA, BB, LDB, BETA,
- $ CC, LDC )
- ELSE
- CALL CZSYMM( IORDER, 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
- IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
- IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
- ELSE
- IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
- IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
- END IF
- GO TO 120
- *
- 110 CONTINUE
- WRITE( NOUT, FMT = 9996 )SNAME
- CALL ZPRCN2(NOUT, NC, SNAME, IORDER, SIDE, UPLO, M, N, ALPHA, LDA,
- $ LDB, BETA, LDC)
- *
- 120 CONTINUE
- RETURN
- *
- 10003 FORMAT( ' ', A13,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
- $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
- $ 'RATIO ', F8.2, ' - SUSPECT *******' )
- 10002 FORMAT( ' ', A13,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
- $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
- $ 'RATIO ', F8.2, ' - SUSPECT *******' )
- 10001 FORMAT( ' ', A13,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
- $ ' (', I6, ' CALL', 'S)' )
- 10000 FORMAT( ' ', A13,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
- $ ' (', I6, ' CALL', 'S)' )
- 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
- $ 'ANGED INCORRECTLY *******' )
- 9996 FORMAT( ' ******* ', A13,' FAILED ON CALL NUMBER:' )
- 9995 FORMAT(1X, I6, ': ', A13,'(', 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 ZPRCN2(NOUT, NC, SNAME, IORDER, SIDE, UPLO, M, N,
- $ ALPHA, LDA, LDB, BETA, LDC)
- INTEGER NOUT, NC, IORDER, M, N, LDA, LDB, LDC
- DOUBLE COMPLEX ALPHA, BETA
- CHARACTER*1 SIDE, UPLO
- CHARACTER*13 SNAME
- CHARACTER*14 CRC, CS,CU
-
- IF (SIDE.EQ.'L')THEN
- CS = ' CblasLeft'
- ELSE
- CS = ' CblasRight'
- END IF
- IF (UPLO.EQ.'U')THEN
- CU = ' CblasUpper'
- ELSE
- CU = ' CblasLower'
- END IF
- IF (IORDER.EQ.1)THEN
- CRC = ' CblasRowMajor'
- ELSE
- CRC = ' CblasColMajor'
- END IF
- WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CS,CU
- WRITE(NOUT, FMT = 9994)M, N, ALPHA, LDA, LDB, BETA, LDC
-
- 9995 FORMAT( 1X, I6, ': ', A13,'(', A15, ',', A14, ',', A14, ',')
- 9994 FORMAT( 10X, 2( I3, ',' ),' (',F4.1,',',F4.1, '), A,', I3,
- $ ', B,', I3, ', (',F4.1,',',F4.1, '), ', 'C,', I3, ').' )
- 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, IORDER )
- *
- * 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, IORDER
- LOGICAL FATAL, REWI, TRACE
- CHARACTER*13 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, CZTRMM, CZTRSM
- * .. 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( 10: 11 ).EQ.'mm' )THEN
- IF( TRACE )
- $ CALL ZPRCN3( NTRA, NC, SNAME, IORDER,
- $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA,
- $ LDA, LDB)
- IF( REWI )
- $ REWIND NTRA
- CALL CZTRMM(IORDER, SIDE, UPLO, TRANSA,
- $ DIAG, M, N, ALPHA, AA, LDA,
- $ BB, LDB )
- ELSE IF( SNAME( 10: 11 ).EQ.'sm' )THEN
- IF( TRACE )
- $ CALL ZPRCN3( NTRA, NC, SNAME, IORDER,
- $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA,
- $ LDA, LDB)
- IF( REWI )
- $ REWIND NTRA
- CALL CZTRSM(IORDER, 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( 10: 11 ).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( 10: 11 ).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
- IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
- IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
- ELSE
- IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
- IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
- END IF
- GO TO 160
- *
- 150 CONTINUE
- WRITE( NOUT, FMT = 9996 )SNAME
- IF( TRACE )
- $ CALL ZPRCN3( NTRA, NC, SNAME, IORDER, SIDE, UPLO, TRANSA, DIAG,
- $ M, N, ALPHA, LDA, LDB)
- *
- 160 CONTINUE
- RETURN
- *
- 10003 FORMAT( ' ', A13,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
- $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
- $ 'RATIO ', F8.2, ' - SUSPECT *******' )
- 10002 FORMAT( ' ', A13,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
- $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
- $ 'RATIO ', F8.2, ' - SUSPECT *******' )
- 10001 FORMAT( ' ', A13,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
- $ ' (', I6, ' CALL', 'S)' )
- 10000 FORMAT( ' ', A13,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
- $ ' (', I6, ' CALL', 'S)' )
- 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
- $ 'ANGED INCORRECTLY *******' )
- 9996 FORMAT(' ******* ', A13,' FAILED ON CALL NUMBER:' )
- 9995 FORMAT(1X, I6, ': ', A13,'(', 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 ZPRCN3(NOUT, NC, SNAME, IORDER, SIDE, UPLO, TRANSA,
- $ DIAG, M, N, ALPHA, LDA, LDB)
- INTEGER NOUT, NC, IORDER, M, N, LDA, LDB
- DOUBLE COMPLEX ALPHA
- CHARACTER*1 SIDE, UPLO, TRANSA, DIAG
- CHARACTER*13 SNAME
- CHARACTER*14 CRC, CS, CU, CA, CD
-
- IF (SIDE.EQ.'L')THEN
- CS = ' CblasLeft'
- ELSE
- CS = ' CblasRight'
- END IF
- IF (UPLO.EQ.'U')THEN
- CU = ' CblasUpper'
- ELSE
- CU = ' CblasLower'
- END IF
- IF (TRANSA.EQ.'N')THEN
- CA = ' CblasNoTrans'
- ELSE IF (TRANSA.EQ.'T')THEN
- CA = ' CblasTrans'
- ELSE
- CA = 'CblasConjTrans'
- END IF
- IF (DIAG.EQ.'N')THEN
- CD = ' CblasNonUnit'
- ELSE
- CD = ' CblasUnit'
- END IF
- IF (IORDER.EQ.1)THEN
- CRC = ' CblasRowMajor'
- ELSE
- CRC = ' CblasColMajor'
- END IF
- WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CS,CU
- WRITE(NOUT, FMT = 9994)CA, CD, M, N, ALPHA, LDA, LDB
-
- 9995 FORMAT( 1X, I6, ': ', A13,'(', A15, ',', A14, ',', A14, ',')
- 9994 FORMAT( 10X, 2( A15, ',') , 2( I3, ',' ), ' (', F4.1, ',',
- $ F4.1, '), A,', I3, ', B,', I3, ').' )
- 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,
- $ IORDER )
- *
- * 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, IORDER
- LOGICAL FATAL, REWI, TRACE
- CHARACTER*13 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 CZHERK, ZMAKE, ZMMCH, CZSYRK
- * .. 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( 8: 9 ).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( 8: 9 ), 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 )
- $ CALL ZPRCN6( NTRA, NC, SNAME, IORDER,
- $ UPLO, TRANS, N, K, RALPHA, LDA, RBETA,
- $ LDC)
- IF( REWI )
- $ REWIND NTRA
- CALL CZHERK( IORDER, UPLO, TRANS, N, K,
- $ RALPHA, AA, LDA, RBETA, CC,
- $ LDC )
- ELSE
- IF( TRACE )
- $ CALL ZPRCN4( NTRA, NC, SNAME, IORDER,
- $ UPLO, TRANS, N, K, ALPHA, LDA, BETA, LDC)
- IF( REWI )
- $ REWIND NTRA
- CALL CZSYRK( IORDER, 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( 8: 9 ), 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
- IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
- IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
- ELSE
- IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
- IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )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
- CALL ZPRCN6( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, RALPHA,
- $ LDA, rBETA, LDC)
- ELSE
- CALL ZPRCN4( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, ALPHA,
- $ LDA, BETA, LDC)
- END IF
- *
- 130 CONTINUE
- RETURN
- *
- 10003 FORMAT( ' ', A13,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
- $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
- $ 'RATIO ', F8.2, ' - SUSPECT *******' )
- 10002 FORMAT( ' ', A13,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
- $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
- $ 'RATIO ', F8.2, ' - SUSPECT *******' )
- 10001 FORMAT( ' ', A13,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
- $ ' (', I6, ' CALL', 'S)' )
- 10000 FORMAT( ' ', A13,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
- $ ' (', I6, ' CALL', 'S)' )
- 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
- $ 'ANGED INCORRECTLY *******' )
- 9996 FORMAT( ' ******* ', A13,' FAILED ON CALL NUMBER:' )
- 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
- 9994 FORMAT(1X, I6, ': ', A13,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
- $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ') ',
- $ ' .' )
- 9993 FORMAT(1X, I6, ': ', A13,'(', 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 CCHK4.
- *
- END
- *
- SUBROUTINE ZPRCN4(NOUT, NC, SNAME, IORDER, UPLO, TRANSA,
- $ N, K, ALPHA, LDA, BETA, LDC)
- INTEGER NOUT, NC, IORDER, N, K, LDA, LDC
- DOUBLE COMPLEX ALPHA, BETA
- CHARACTER*1 UPLO, TRANSA
- CHARACTER*13 SNAME
- CHARACTER*14 CRC, CU, CA
-
- IF (UPLO.EQ.'U')THEN
- CU = ' CblasUpper'
- ELSE
- CU = ' CblasLower'
- END IF
- IF (TRANSA.EQ.'N')THEN
- CA = ' CblasNoTrans'
- ELSE IF (TRANSA.EQ.'T')THEN
- CA = ' CblasTrans'
- ELSE
- CA = 'CblasConjTrans'
- END IF
- IF (IORDER.EQ.1)THEN
- CRC = ' CblasRowMajor'
- ELSE
- CRC = ' CblasColMajor'
- END IF
- WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA
- WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, BETA, LDC
-
- 9995 FORMAT( 1X, I6, ': ', A13,'(', 3( A15, ',') )
- 9994 FORMAT( 10X, 2( I3, ',' ), ' (', F4.1, ',', F4.1 ,'), A,',
- $ I3, ', (', F4.1,',', F4.1, '), C,', I3, ').' )
- END
- *
- *
- SUBROUTINE ZPRCN6(NOUT, NC, SNAME, IORDER, UPLO, TRANSA,
- $ N, K, ALPHA, LDA, BETA, LDC)
- INTEGER NOUT, NC, IORDER, N, K, LDA, LDC
- DOUBLE PRECISION ALPHA, BETA
- CHARACTER*1 UPLO, TRANSA
- CHARACTER*13 SNAME
- CHARACTER*14 CRC, CU, CA
-
- IF (UPLO.EQ.'U')THEN
- CU = ' CblasUpper'
- ELSE
- CU = ' CblasLower'
- END IF
- IF (TRANSA.EQ.'N')THEN
- CA = ' CblasNoTrans'
- ELSE IF (TRANSA.EQ.'T')THEN
- CA = ' CblasTrans'
- ELSE
- CA = 'CblasConjTrans'
- END IF
- IF (IORDER.EQ.1)THEN
- CRC = ' CblasRowMajor'
- ELSE
- CRC = ' CblasColMajor'
- END IF
- WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA
- WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, BETA, LDC
-
- 9995 FORMAT( 1X, I6, ': ', A13,'(', 3( A15, ',') )
- 9994 FORMAT( 10X, 2( I3, ',' ),
- $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ').' )
- 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,
- $ IORDER )
- *
- * 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, IORDER
- LOGICAL FATAL, REWI, TRACE
- CHARACTER*13 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 CZHER2K, ZMAKE, ZMMCH, CZSYR2K
- * .. 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( 8: 9 ).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( 8: 9 ), 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 )
- $ CALL ZPRCN7( NTRA, NC, SNAME, IORDER,
- $ UPLO, TRANS, N, K, ALPHA, LDA, LDB,
- $ RBETA, LDC)
- IF( REWI )
- $ REWIND NTRA
- CALL CZHER2K( IORDER, UPLO, TRANS, N, K,
- $ ALPHA, AA, LDA, BB, LDB, RBETA,
- $ CC, LDC )
- ELSE
- IF( TRACE )
- $ CALL ZPRCN5( NTRA, NC, SNAME, IORDER,
- $ UPLO, TRANS, N, K, ALPHA, LDA, LDB,
- $ BETA, LDC)
- IF( REWI )
- $ REWIND NTRA
- CALL CZSYR2K( IORDER, UPLO, TRANS, N, K,
- $ ALPHA, AA, LDA, BB, LDB, BETA,
- $ CC, LDC )
- END IF
- *
- * Check if error-exit was taken incorrectly.
- *
- IF( .NOT.OK )THEN
- WRITE( NOUT, FMT = 9992 )
- FATAL = .TRUE.
- GO TO 150
- 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
- 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
- IF( CONJ )THEN
- ISAME( 10 ) = RBETS.EQ.RBETA
- ELSE
- ISAME( 10 ) = BETS.EQ.BETA
- END IF
- IF( NULL )THEN
- ISAME( 11 ) = LZE( CS, CC, LCC )
- ELSE
- ISAME( 11 ) = LZERES( 'he', UPLO, N, 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 150
- END IF
- *
- IF( .NOT.NULL )THEN
- *
- * Check the result column by column.
- *
- IF( CONJ )THEN
- TRANST = 'C'
- ELSE
- TRANST = 'T'
- END IF
- JJAB = 1
- JC = 1
- DO 70 J = 1, N
- IF( UPPER )THEN
- JJ = 1
- LJ = J
- ELSE
- JJ = J
- LJ = N - J + 1
- END IF
- IF( TRAN )THEN
- DO 50 I = 1, K
- W( I ) = ALPHA*AB( ( J - 1 )*2*
- $ NMAX + K + I )
- IF( CONJ )THEN
- W( K + I ) = DCONJG( ALPHA )*
- $ AB( ( J - 1 )*2*
- $ NMAX + I )
- ELSE
- W( K + I ) = ALPHA*
- $ AB( ( J - 1 )*2*
- $ NMAX + I )
- END IF
- 50 CONTINUE
- CALL ZMMCH( TRANST, 'N', LJ, 1, 2*K,
- $ ONE, AB( JJAB ), 2*NMAX, W,
- $ 2*NMAX, BETA, C( JJ, J ),
- $ NMAX, CT, G, CC( JC ), LDC,
- $ EPS, ERR, FATAL, NOUT,
- $ .TRUE. )
- ELSE
- DO 60 I = 1, K
- IF( CONJ )THEN
- W( I ) = ALPHA*DCONJG( AB( ( K +
- $ I - 1 )*NMAX + J ) )
- W( K + I ) = DCONJG( ALPHA*
- $ AB( ( I - 1 )*NMAX +
- $ J ) )
- ELSE
- W( I ) = ALPHA*AB( ( K + I - 1 )*
- $ NMAX + J )
- W( K + I ) = ALPHA*
- $ AB( ( I - 1 )*NMAX +
- $ J )
- END IF
- 60 CONTINUE
- CALL ZMMCH( 'N', 'N', LJ, 1, 2*K, ONE,
- $ AB( JJ ), NMAX, W, 2*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
- IF( TRAN )
- $ JJAB = JJAB + 2*NMAX
- END IF
- ERRMAX = MAX( ERRMAX, ERR )
- * If got really bad answer, report and
- * return.
- IF( FATAL )
- $ GO TO 140
- 70 CONTINUE
- END IF
- *
- 80 CONTINUE
- *
- 90 CONTINUE
- *
- 100 CONTINUE
- *
- 110 CONTINUE
- *
- 120 CONTINUE
- *
- 130 CONTINUE
- *
- * Report result.
- *
- IF( ERRMAX.LT.THRESH )THEN
- IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC
- IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC
- ELSE
- IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX
- IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX
- END IF
- GO TO 160
- *
- 140 CONTINUE
- IF( N.GT.1 )
- $ WRITE( NOUT, FMT = 9995 )J
- *
- 150 CONTINUE
- WRITE( NOUT, FMT = 9996 )SNAME
- IF( CONJ )THEN
- CALL ZPRCN7( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K,
- $ ALPHA, LDA, LDB, RBETA, LDC)
- ELSE
- CALL ZPRCN5( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K,
- $ ALPHA, LDA, LDB, BETA, LDC)
- END IF
- *
- 160 CONTINUE
- RETURN
- *
- 10003 FORMAT( ' ', A13,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
- $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
- $ 'RATIO ', F8.2, ' - SUSPECT *******' )
- 10002 FORMAT( ' ', A13,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
- $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
- $ 'RATIO ', F8.2, ' - SUSPECT *******' )
- 10001 FORMAT( ' ', A13,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
- $ ' (', I6, ' CALL', 'S)' )
- 10000 FORMAT( ' ', A13,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
- $ ' (', I6, ' CALL', 'S)' )
- 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
- $ 'ANGED INCORRECTLY *******' )
- 9996 FORMAT( ' ******* ', A13,' FAILED ON CALL NUMBER:' )
- 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
- 9994 FORMAT(1X, I6, ': ', A13,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
- $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ',', F4.1,
- $ ', C,', I3, ') .' )
- 9993 FORMAT(1X, I6, ': ', A13,'(', 2( '''', A1, ''',' ), 2( I3, ',' ),
- $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ',(', F4.1,
- $ ',', F4.1, '), C,', I3, ') .' )
- 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
- $ '******' )
- *
- * End of ZCHK5.
- *
- END
- *
- SUBROUTINE ZPRCN5(NOUT, NC, SNAME, IORDER, UPLO, TRANSA,
- $ N, K, ALPHA, LDA, LDB, BETA, LDC)
- INTEGER NOUT, NC, IORDER, N, K, LDA, LDB, LDC
- DOUBLE COMPLEX ALPHA, BETA
- CHARACTER*1 UPLO, TRANSA
- CHARACTER*13 SNAME
- CHARACTER*14 CRC, CU, CA
-
- IF (UPLO.EQ.'U')THEN
- CU = ' CblasUpper'
- ELSE
- CU = ' CblasLower'
- END IF
- IF (TRANSA.EQ.'N')THEN
- CA = ' CblasNoTrans'
- ELSE IF (TRANSA.EQ.'T')THEN
- CA = ' CblasTrans'
- ELSE
- CA = 'CblasConjTrans'
- END IF
- IF (IORDER.EQ.1)THEN
- CRC = ' CblasRowMajor'
- ELSE
- CRC = ' CblasColMajor'
- END IF
- WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA
- WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, LDB, BETA, LDC
-
- 9995 FORMAT( 1X, I6, ': ', A13,'(', 3( A15, ',') )
- 9994 FORMAT( 10X, 2( I3, ',' ), ' (', F4.1, ',', F4.1, '), A,',
- $ I3, ', B', I3, ', (', F4.1, ',', F4.1, '), C,', I3, ').' )
- END
- *
- *
- SUBROUTINE ZPRCN7(NOUT, NC, SNAME, IORDER, UPLO, TRANSA,
- $ N, K, ALPHA, LDA, LDB, BETA, LDC)
- INTEGER NOUT, NC, IORDER, N, K, LDA, LDB, LDC
- DOUBLE COMPLEX ALPHA
- DOUBLE PRECISION BETA
- CHARACTER*1 UPLO, TRANSA
- CHARACTER*13 SNAME
- CHARACTER*14 CRC, CU, CA
-
- IF (UPLO.EQ.'U')THEN
- CU = ' CblasUpper'
- ELSE
- CU = ' CblasLower'
- END IF
- IF (TRANSA.EQ.'N')THEN
- CA = ' CblasNoTrans'
- ELSE IF (TRANSA.EQ.'T')THEN
- CA = ' CblasTrans'
- ELSE
- CA = 'CblasConjTrans'
- END IF
- IF (IORDER.EQ.1)THEN
- CRC = ' CblasRowMajor'
- ELSE
- CRC = ' CblasColMajor'
- END IF
- WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA
- WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, LDB, BETA, LDC
-
- 9995 FORMAT( 1X, I6, ': ', A13,'(', 3( A15, ',') )
- 9994 FORMAT( 10X, 2( I3, ',' ), ' (', F4.1, ',', F4.1, '), A,',
- $ I3, ', B', I3, ',', F4.1, ', C,', I3, ').' )
- END
- *
- SUBROUTINE ZMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, RESET,
- $ TRANSL )
- *
- * Generates values for an M by N matrix A.
- * Stores the values in the array AA in the data structure required
- * by the routine, with unwanted elements set to rogue value.
- *
- * TYPE is 'ge', 'he', 'sy' or 'tr'.
- *
- * 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 ) )
- COMPLEX*16 ROGUE
- PARAMETER ( ROGUE = ( -1.0D10, 1.0D10 ) )
- DOUBLE PRECISION RZERO
- PARAMETER ( RZERO = 0.0D0 )
- DOUBLE PRECISION RROGUE
- PARAMETER ( RROGUE = -1.0D10 )
- * .. Scalar Arguments ..
- COMPLEX*16 TRANSL
- INTEGER LDA, M, N, NMAX
- LOGICAL RESET
- CHARACTER*1 DIAG, UPLO
- CHARACTER*2 TYPE
- * .. Array Arguments ..
- COMPLEX*16 A( NMAX, * ), AA( * )
- * .. Local Scalars ..
- INTEGER I, IBEG, IEND, J, JJ
- LOGICAL GEN, HER, LOWER, SYM, TRI, UNIT, UPPER
- * .. External Functions ..
- COMPLEX*16 ZBEG
- EXTERNAL ZBEG
- * .. Intrinsic Functions ..
- INTRINSIC DCMPLX, DCONJG, DBLE
- * .. Executable Statements ..
- GEN = TYPE.EQ.'ge'
- HER = TYPE.EQ.'he'
- SYM = TYPE.EQ.'sy'
- TRI = TYPE.EQ.'tr'
- UPPER = ( HER.OR.SYM.OR.TRI ).AND.UPLO.EQ.'U'
- LOWER = ( HER.OR.SYM.OR.TRI ).AND.UPLO.EQ.'L'
- UNIT = TRI.AND.DIAG.EQ.'U'
- *
- * Generate data in array A.
- *
- DO 20 J = 1, N
- DO 10 I = 1, M
- IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) )
- $ THEN
- A( I, J ) = ZBEG( RESET ) + TRANSL
- IF( I.NE.J )THEN
- * Set some elements to zero
- IF( N.GT.3.AND.J.EQ.N/2 )
- $ A( I, J ) = ZERO
- IF( HER )THEN
- A( J, I ) = DCONJG( A( I, J ) )
- ELSE IF( SYM )THEN
- A( J, I ) = A( I, J )
- ELSE IF( TRI )THEN
- A( J, I ) = ZERO
- END IF
- END IF
- END IF
- 10 CONTINUE
- IF( HER )
- $ A( J, J ) = DCMPLX( DBLE( A( J, J ) ), RZERO )
- IF( TRI )
- $ A( J, J ) = A( J, J ) + ONE
- IF( UNIT )
- $ A( J, J ) = ONE
- 20 CONTINUE
- *
- * Store elements in array AS in data structure required by routine.
- *
- IF( TYPE.EQ.'ge' )THEN
- DO 50 J = 1, N
- DO 30 I = 1, M
- AA( I + ( J - 1 )*LDA ) = A( I, J )
- 30 CONTINUE
- DO 40 I = M + 1, LDA
- AA( I + ( J - 1 )*LDA ) = ROGUE
- 40 CONTINUE
- 50 CONTINUE
- ELSE IF( TYPE.EQ.'he'.OR.TYPE.EQ.'sy'.OR.TYPE.EQ.'tr' )THEN
- DO 90 J = 1, N
- IF( UPPER )THEN
- IBEG = 1
- IF( UNIT )THEN
- IEND = J - 1
- ELSE
- IEND = J
- END IF
- ELSE
- IF( UNIT )THEN
- IBEG = J + 1
- ELSE
- IBEG = J
- END IF
- IEND = N
- END IF
- DO 60 I = 1, IBEG - 1
- AA( I + ( J - 1 )*LDA ) = ROGUE
- 60 CONTINUE
- DO 70 I = IBEG, IEND
- AA( I + ( J - 1 )*LDA ) = A( I, J )
- 70 CONTINUE
- DO 80 I = IEND + 1, LDA
- AA( I + ( J - 1 )*LDA ) = ROGUE
- 80 CONTINUE
- IF( HER )THEN
- JJ = J + ( J - 1 )*LDA
- AA( JJ ) = DCMPLX( DBLE( AA( JJ ) ), RROGUE )
- END IF
- 90 CONTINUE
- END IF
- RETURN
- *
- * End of ZMAKE.
- *
- END
- SUBROUTINE ZMMCH( TRANSA, TRANSB, M, N, KK, ALPHA, A, LDA, B, LDB,
- $ BETA, C, LDC, CT, G, CC, LDCC, EPS, ERR, FATAL,
- $ NOUT, MV )
- *
- * Checks the results of the computational tests.
- *
- * 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, RONE
- PARAMETER ( RZERO = 0.0D0, RONE = 1.0D0 )
- * .. Scalar Arguments ..
- COMPLEX*16 ALPHA, BETA
- DOUBLE PRECISION EPS, ERR
- INTEGER KK, LDA, LDB, LDC, LDCC, M, N, NOUT
- LOGICAL FATAL, MV
- CHARACTER*1 TRANSA, TRANSB
- * .. Array Arguments ..
- COMPLEX*16 A( LDA, * ), B( LDB, * ), C( LDC, * ),
- $ CC( LDCC, * ), CT( * )
- DOUBLE PRECISION G( * )
- * .. Local Scalars ..
- COMPLEX*16 CL
- DOUBLE PRECISION ERRI
- INTEGER I, J, K
- LOGICAL CTRANA, CTRANB, TRANA, TRANB
- * .. Intrinsic Functions ..
- INTRINSIC ABS, DIMAG, DCONJG, MAX, DBLE, SQRT
- * .. Statement Functions ..
- DOUBLE PRECISION ABS1
- * .. Statement Function definitions ..
- ABS1( CL ) = ABS( DBLE( CL ) ) + ABS( DIMAG( CL ) )
- * .. Executable Statements ..
- TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C'
- TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C'
- CTRANA = TRANSA.EQ.'C'
- CTRANB = TRANSB.EQ.'C'
- *
- * Compute expected result, one column at a time, in CT using data
- * in A, B and C.
- * Compute gauges in G.
- *
- DO 220 J = 1, N
- *
- DO 10 I = 1, M
- CT( I ) = ZERO
- G( I ) = RZERO
- 10 CONTINUE
- IF( .NOT.TRANA.AND..NOT.TRANB )THEN
- DO 30 K = 1, KK
- DO 20 I = 1, M
- CT( I ) = CT( I ) + A( I, K )*B( K, J )
- G( I ) = G( I ) + ABS1( A( I, K ) )*ABS1( B( K, J ) )
- 20 CONTINUE
- 30 CONTINUE
- ELSE IF( TRANA.AND..NOT.TRANB )THEN
- IF( CTRANA )THEN
- DO 50 K = 1, KK
- DO 40 I = 1, M
- CT( I ) = CT( I ) + DCONJG( A( K, I ) )*B( K, J )
- G( I ) = G( I ) + ABS1( A( K, I ) )*
- $ ABS1( B( K, J ) )
- 40 CONTINUE
- 50 CONTINUE
- ELSE
- DO 70 K = 1, KK
- DO 60 I = 1, M
- CT( I ) = CT( I ) + A( K, I )*B( K, J )
- G( I ) = G( I ) + ABS1( A( K, I ) )*
- $ ABS1( B( K, J ) )
- 60 CONTINUE
- 70 CONTINUE
- END IF
- ELSE IF( .NOT.TRANA.AND.TRANB )THEN
- IF( CTRANB )THEN
- DO 90 K = 1, KK
- DO 80 I = 1, M
- CT( I ) = CT( I ) + A( I, K )*DCONJG( B( J, K ) )
- G( I ) = G( I ) + ABS1( A( I, K ) )*
- $ ABS1( B( J, K ) )
- 80 CONTINUE
- 90 CONTINUE
- ELSE
- DO 110 K = 1, KK
- DO 100 I = 1, M
- CT( I ) = CT( I ) + A( I, K )*B( J, K )
- G( I ) = G( I ) + ABS1( A( I, K ) )*
- $ ABS1( B( J, K ) )
- 100 CONTINUE
- 110 CONTINUE
- END IF
- ELSE IF( TRANA.AND.TRANB )THEN
- IF( CTRANA )THEN
- IF( CTRANB )THEN
- DO 130 K = 1, KK
- DO 120 I = 1, M
- CT( I ) = CT( I ) + DCONJG( A( K, I ) )*
- $ DCONJG( B( J, K ) )
- G( I ) = G( I ) + ABS1( A( K, I ) )*
- $ ABS1( B( J, K ) )
- 120 CONTINUE
- 130 CONTINUE
- ELSE
- DO 150 K = 1, KK
- DO 140 I = 1, M
- CT( I ) = CT( I ) + DCONJG( A( K, I ) )*
- $ B( J, K )
- G( I ) = G( I ) + ABS1( A( K, I ) )*
- $ ABS1( B( J, K ) )
- 140 CONTINUE
- 150 CONTINUE
- END IF
- ELSE
- IF( CTRANB )THEN
- DO 170 K = 1, KK
- DO 160 I = 1, M
- CT( I ) = CT( I ) + A( K, I )*
- $ DCONJG( B( J, K ) )
- G( I ) = G( I ) + ABS1( A( K, I ) )*
- $ ABS1( B( J, K ) )
- 160 CONTINUE
- 170 CONTINUE
- ELSE
- DO 190 K = 1, KK
- DO 180 I = 1, M
- CT( I ) = CT( I ) + A( K, I )*B( J, K )
- G( I ) = G( I ) + ABS1( A( K, I ) )*
- $ ABS1( B( J, K ) )
- 180 CONTINUE
- 190 CONTINUE
- END IF
- END IF
- END IF
- DO 200 I = 1, M
- CT( I ) = ALPHA*CT( I ) + BETA*C( I, J )
- G( I ) = ABS1( ALPHA )*G( I ) +
- $ ABS1( BETA )*ABS1( C( I, J ) )
- 200 CONTINUE
- *
- * Compute the error ratio for this result.
- *
- ERR = ZERO
- DO 210 I = 1, M
- ERRI = ABS1( CT( I ) - CC( I, J ) )/EPS
- IF( G( I ).NE.RZERO )
- $ ERRI = ERRI/G( I )
- ERR = MAX( ERR, ERRI )
- IF( ERR*SQRT( EPS ).GE.RONE )
- $ GO TO 230
- 210 CONTINUE
- *
- 220 CONTINUE
- *
- * If the loop completes, all results are at least half accurate.
- GO TO 250
- *
- * Report fatal error.
- *
- 230 FATAL = .TRUE.
- WRITE( NOUT, FMT = 9999 )
- DO 240 I = 1, M
- IF( MV )THEN
- WRITE( NOUT, FMT = 9998 )I, CT( I ), CC( I, J )
- ELSE
- WRITE( NOUT, FMT = 9998 )I, CC( I, J ), CT( I )
- END IF
- 240 CONTINUE
- IF( N.GT.1 )
- $ WRITE( NOUT, FMT = 9997 )J
- *
- 250 CONTINUE
- RETURN
- *
- 9999 FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL',
- $ 'F ACCURATE *******', /' EXPECTED RE',
- $ 'SULT COMPUTED RESULT' )
- 9998 FORMAT( 1X, I7, 2( ' (', G15.6, ',', G15.6, ')' ) )
- 9997 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
- *
- * End of ZMMCH.
- *
- END
- LOGICAL FUNCTION LZE( RI, RJ, LR )
- *
- * Tests if two arrays are identical.
- *
- * 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.
- *
- * .. Scalar Arguments ..
- INTEGER LR
- * .. Array Arguments ..
- COMPLEX*16 RI( * ), RJ( * )
- * .. Local Scalars ..
- INTEGER I
- * .. Executable Statements ..
- DO 10 I = 1, LR
- IF( RI( I ).NE.RJ( I ) )
- $ GO TO 20
- 10 CONTINUE
- LZE = .TRUE.
- GO TO 30
- 20 CONTINUE
- LZE = .FALSE.
- 30 RETURN
- *
- * End of LZE.
- *
- END
- LOGICAL FUNCTION LZERES( TYPE, UPLO, M, N, AA, AS, LDA )
- *
- * Tests if selected elements in two arrays are equal.
- *
- * TYPE is 'ge' or 'he' or 'sy'.
- *
- * 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.
- *
- * .. Scalar Arguments ..
- INTEGER LDA, M, N
- CHARACTER*1 UPLO
- CHARACTER*2 TYPE
- * .. Array Arguments ..
- COMPLEX*16 AA( LDA, * ), AS( LDA, * )
- * .. Local Scalars ..
- INTEGER I, IBEG, IEND, J
- LOGICAL UPPER
- * .. Executable Statements ..
- UPPER = UPLO.EQ.'U'
- IF( TYPE.EQ.'ge' )THEN
- DO 20 J = 1, N
- DO 10 I = M + 1, LDA
- IF( AA( I, J ).NE.AS( I, J ) )
- $ GO TO 70
- 10 CONTINUE
- 20 CONTINUE
- ELSE IF( TYPE.EQ.'he'.OR.TYPE.EQ.'sy' )THEN
- DO 50 J = 1, N
- IF( UPPER )THEN
- IBEG = 1
- IEND = J
- ELSE
- IBEG = J
- IEND = N
- END IF
- DO 30 I = 1, IBEG - 1
- IF( AA( I, J ).NE.AS( I, J ) )
- $ GO TO 70
- 30 CONTINUE
- DO 40 I = IEND + 1, LDA
- IF( AA( I, J ).NE.AS( I, J ) )
- $ GO TO 70
- 40 CONTINUE
- 50 CONTINUE
- END IF
- *
- 60 CONTINUE
- LZERES = .TRUE.
- GO TO 80
- 70 CONTINUE
- LZERES = .FALSE.
- 80 RETURN
- *
- * End of LZERES.
- *
- END
- COMPLEX*16 FUNCTION ZBEG( RESET )
- *
- * Generates complex numbers as pairs of random numbers uniformly
- * distributed between -0.5 and 0.5.
- *
- * 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.
- *
- * .. Scalar Arguments ..
- LOGICAL RESET
- * .. Local Scalars ..
- INTEGER I, IC, J, MI, MJ
- * .. Save statement ..
- SAVE I, IC, J, MI, MJ
- * .. Intrinsic Functions ..
- INTRINSIC DCMPLX
- * .. Executable Statements ..
- IF( RESET )THEN
- * Initialize local variables.
- MI = 891
- MJ = 457
- I = 7
- J = 7
- IC = 0
- RESET = .FALSE.
- END IF
- *
- * The sequence of values of I or J is bounded between 1 and 999.
- * If initial I or J = 1,2,3,6,7 or 9, the period will be 50.
- * If initial I or J = 4 or 8, the period will be 25.
- * If initial I or J = 5, the period will be 10.
- * IC is used to break up the period by skipping 1 value of I or J
- * in 6.
- *
- IC = IC + 1
- 10 I = I*MI
- J = J*MJ
- I = I - 1000*( I/1000 )
- J = J - 1000*( J/1000 )
- IF( IC.GE.5 )THEN
- IC = 0
- GO TO 10
- END IF
- ZBEG = DCMPLX( ( I - 500 )/1001.0D0, ( J - 500 )/1001.0D0 )
- RETURN
- *
- * End of ZBEG.
- *
- END
- DOUBLE PRECISION FUNCTION DDIFF( X, Y )
- *
- * 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.
- *
- * .. Scalar Arguments ..
- DOUBLE PRECISION X, Y
- * .. Executable Statements ..
- DDIFF = X - Y
- RETURN
- *
- * End of DDIFF.
- *
- END
-
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